diff --git a/CMakeLists.txt b/CMakeLists.txt
index f323623068ceb0ed549d0745c426d1d49b41ddc7..4ccb5e17716b689c5b28033fd4cffd48328e35ce 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -129,6 +129,7 @@ sbs_target(test-hil stm32f767zi_death_stack_v4)
add_executable(catch-tests-boardcore
src/tests/catch/catch-tests-entry.cpp
+ src/tests/catch/skyQuaternion/test-skyquaternion.cpp
src/tests/catch/examples/example-test-factorial.cpp
src/tests/catch/test-aero.cpp
# src/tests/catch/test-buttonhandler.cpp
diff --git a/src/shared/utils/SkyQuaternion/SkyQuaternion.cpp b/src/shared/utils/SkyQuaternion/SkyQuaternion.cpp
index bdae72473ce712712e2aedcd309e63800110624c..1c6f2528629b837155c35b6765bf6dc00f542200 100644
--- a/src/shared/utils/SkyQuaternion/SkyQuaternion.cpp
+++ b/src/shared/utils/SkyQuaternion/SkyQuaternion.cpp
@@ -24,6 +24,8 @@
#include <utils/Constants.h>
+#include <cmath>
+
#include "iostream"
using namespace std;
@@ -82,6 +84,44 @@ Vector3f quat2eul(const Vector4f& quat)
return Vector3f(roll, pitch, yaw) * Constants::RADIANS_TO_DEGREES;
}
+Vector3f quat2stepperAngles(const Vector4f& q)
+{
+ float qx = q[0];
+ float qy = q[1];
+ float qz = q[2];
+ float qw = q[3];
+
+ Vector3f angles;
+
+ // clang-format off
+ // DOWN EAST NORD
+ Matrix3f R{
+ {(2*(qw*qw + qx*qx)-1), -2*(qx*qy - qw*qz), -2*(qx*qz + qw*qy)},
+ {2*(qx*qy + qw*qz), -(2*(qw*qw + qy*qy)-1), -2*(qy*qz - qw*qx)},
+ {2*(qx*qz - qw*qy), -2*(qy*qz + qw*qx), -(2*(qw*qw + qz*qz)-1)}};
+ // clang-format on
+
+ // pitch: rotation of motor2 (how the Down-axis move on DN-fixed plane)
+ angles[1] = std::atan2(R(2, 0), R(0, 0)) * 180.0f / Constants::PI;
+
+ // yaw: rotation of motor1 (rotation angle of East-body-versor from
+ // East-fixed-versor seen from Down-body-versor )
+ Vector3f n = R.col(0); // observing vector: normal to
+ // East-body-vector and East-fixed-versor
+
+ Vector3f e = R.col(1);
+ Vector3f temp(0, 1, 0);
+
+ Vector3f x = temp.transpose().cross(e);
+
+ float sign = ((x.dot(n) > 0) ? 1.f : (x.dot(n) < 0) ? -1.f : 0.f);
+ float c = sign * x.norm();
+ angles[0] = -std::atan2(c, temp.dot(e)) * 180.0f / Constants::PI;
+
+ angles[2] = 0; // Roll assumed 0
+ return angles;
+}
+
Vector4f rotationMatrix2quat(const Matrix3f& rtm)
{
float r11 = rtm(0, 0);
diff --git a/src/shared/utils/SkyQuaternion/SkyQuaternion.h b/src/shared/utils/SkyQuaternion/SkyQuaternion.h
index 884f1db3bc0bf1206e002241fe4fe04fde65b5df..99553facf8718c0083ff9d445f5fdeffa8a1c6cf 100644
--- a/src/shared/utils/SkyQuaternion/SkyQuaternion.h
+++ b/src/shared/utils/SkyQuaternion/SkyQuaternion.h
@@ -51,6 +51,18 @@ Eigen::Vector4f eul2quat(const Eigen::Vector3f& euler);
*/
Eigen::Vector3f quat2eul(const Eigen::Vector4f& quat);
+/**
+ * @brief Translates quaternions to yaw and pitch angles assuming roll stays
+ * close to 0.
+ *
+ * This applies to systems with 2 degrees of freedom, used to get the absolute
+ * yaw and pitch angles wrt the north.
+ *
+ * @param quat The quaternion to be transformed (scalar last: [x, y, z, w]).
+ * @return Yaw, Pitch and Roll angles, with Roll set to 0. [deg]
+ */
+Eigen::Vector3f quat2stepperAngles(const Eigen::Vector4f& quat);
+
/**
* @brief Transform a rotation matrix into a quaternion.
*
diff --git a/src/tests/catch/skyQuaternion/test-skyquaternion-data.h b/src/tests/catch/skyQuaternion/test-skyquaternion-data.h
new file mode 100644
index 0000000000000000000000000000000000000000..8313c6353b3971004ac3e6151f0f12de9fe3028c
--- /dev/null
+++ b/src/tests/catch/skyQuaternion/test-skyquaternion-data.h
@@ -0,0 +1,4167 @@
+/* Copyright (c) 2024 Skyward Experimental Rocketry
+ * Authors: Emilio Corigliano, Federico Disarò
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+#include <sensors/SensorData.h>
+
+#include <Eigen/Core>
+#include <vector>
+
+static const std::vector<Boardcore::QuaternionData> inputs = {
+ {0, 0.720778346, -0.0172871947, 0.0181208123, 0.692713082},
+ {1, 0.720776141, -0.017286256, 0.0181177929, 0.692715466},
+ {2, 0.720773816, -0.0172894988, 0.0181132685, 0.69271791},
+ {3, 0.720774651, -0.0172854587, 0.0181078538, 0.692717254},
+ {4, 0.720772445, -0.0172900688, 0.0181186199, 0.692719221},
+ {5, 0.720769882, -0.0172908399, 0.0181129221, 0.692722023},
+ {6, 0.720772982, -0.0172892101, 0.0181204639, 0.692718565},
+ {7, 0.720779359, -0.0172825605, 0.0181263853, 0.692712009},
+ {8, 0.720776737, -0.0172857568, 0.0181313567, 0.692714572},
+ {9, 0.720761776, -0.0172919948, 0.0181184784, 0.692730308},
+ {10, 0.720765769, -0.0172855128, 0.018116748, 0.692726374},
+ {11, 0.72077322, -0.0172825325, 0.018115079, 0.692718744},
+ {12, 0.720767379, -0.0172781982, 0.0181062799, 0.692725122},
+ {13, 0.72076118, -0.0172765944, 0.0180940256, 0.692731977},
+ {14, 0.720764935, -0.0172720384, 0.0181028582, 0.692727864},
+ {15, 0.720755339, -0.0172729958, 0.0181081612, 0.692737699},
+ {16, 0.720750868, -0.0172812995, 0.0181153268, 0.69274193},
+ {17, 0.720763147, -0.0172740687, 0.0181155466, 0.692729414},
+ {18, 0.720766127, -0.0172746833, 0.0181161072, 0.692726254},
+ {19, 0.720760703, -0.0172798093, 0.0181021225, 0.692732096},
+ {20, 0.720761597, -0.0172866285, 0.018110536, 0.692730844},
+ {21, 0.720766783, -0.0172828231, 0.0181123856, 0.69272548},
+ {22, 0.720472813, -0.0168428142, 0.0176813863, 0.693053186},
+ {23, 0.717413723, -0.016108498, 0.0173130818, 0.696245909},
+ {24, 0.71142745, -0.0149062509, 0.0162775517, 0.702412903},
+ {25, 0.703758538, -0.0136279389, 0.0147849573, 0.710154653},
+ {26, 0.696487844, -0.01279609, 0.0135191903, 0.717327118},
+ {27, 0.690827489, -0.0117129805, 0.0124469344, 0.722817659},
+ {28, 0.686560154, -0.0105506554, 0.0115880575, 0.726904154},
+ {29, 0.682211816, -0.00921791419, 0.0106262406, 0.731019258},
+ {30, 0.676817656, -0.00772242947, 0.00952831749, 0.736048579},
+ {31, 0.670605123, -0.00641674548, 0.00859558024, 0.741737008},
+ {32, 0.666342616, -0.00512046693, 0.00729928585, 0.745592475},
+ {33, 0.665059268, -0.0036026095, 0.00566872954, 0.746760428},
+ {34, 0.665170968, -0.0029762669, 0.00521724718, 0.746666968},
+ {35, 0.6647259, -0.00202759751, 0.00488279341, 0.747068584},
+ {36, 0.662869275, -0.000766271784, 0.00421955669, 0.748722911},
+ {37, 0.659775078, 0.000602784101, 0.00301796896, 0.751456797},
+ {38, 0.656785905, 0.00170562638, 0.00186740619, 0.754072905},
+ {39, 0.654562473, 0.00230794447, 0.00129782117, 0.756003261},
+ {40, 0.6531654, 0.00382638979, 0.00016926715, 0.757205665},
+ {41, 0.652149737, 0.0048344424, -0.000558154949, 0.758074582},
+ {42, 0.652309597, 0.00488348678, -0.000743180513, 0.757936537},
+ {43, 0.653487444, 0.00488163764, -0.000782296644, 0.756921291},
+ {44, 0.654213071, 0.00483828783, -0.000654503005, 0.756294608},
+ {45, 0.654497683, 0.00489265891, -0.000659531099, 0.756047964},
+ {46, 0.654703498, 0.00483545242, -0.000727703795, 0.755869985},
+ {47, 0.654718637, 0.00482680602, -0.000707402301, 0.75585705},
+ {48, 0.655366719, 0.00484672142, -0.000704707461, 0.755295038},
+ {49, 0.656249583, 0.00480463961, -0.000759680523, 0.754528165},
+ {50, 0.656395555, 0.00478378497, -0.000715193455, 0.754401326},
+ {51, 0.656036556, 0.00483128708, -0.000727851875, 0.754713297},
+ {52, 0.655951321, 0.00557684386, -0.00139329175, 0.754781365},
+ {53, 0.656094372, 0.00585204782, -0.001629923, 0.754654527},
+ {54, 0.656369567, 0.00589838205, -0.0016606492, 0.754414618},
+ {55, 0.657332718, 0.00585629884, -0.0016916726, 0.753575921},
+ {56, 0.658024311, 0.00712874299, -0.00283516641, 0.752957642},
+ {57, 0.657862127, 0.00727213314, -0.00287754997, 0.753097773},
+ {58, 0.657734334, 0.00733790314, -0.00299222232, 0.753208339},
+ {59, 0.6585567, 0.00724599604, -0.00306257396, 0.752490044},
+ {60, 0.659439027, 0.00898696855, -0.0045159366, 0.751690805},
+ {61, 0.659480333, 0.00891774986, -0.00434542727, 0.751656413},
+ {62, 0.659079731, 0.00886168331, -0.00439877575, 0.75200808},
+ {63, 0.658968866, 0.00886197854, -0.00443778234, 0.752104878},
+ {64, 0.659101129, 0.00888805557, -0.00435633026, 0.751989186},
+ {65, 0.659059644, -0.00120514038, 0.00453567645, 0.752076089},
+ {66, 0.659053326, -0.00159902149, 0.00486873556, 0.752078712},
+ {67, 0.659048498, -0.00273208413, 0.00584239792, 0.752072871},
+ {68, 0.659044862, -0.00335006579, 0.00637708046, 0.752069175},
+ {69, 0.65903759, -0.00440056762, 0.00728906319, 0.752061844},
+ {70, 0.659029126, -0.00517336046, 0.00796257611, 0.752057433},
+ {71, 0.659028769, -0.00554307736, 0.00829410087, 0.752051592},
+ {72, 0.659030557, -0.00511300657, 0.00791330077, 0.752057195},
+ {73, 0.659035265, -0.00491145859, 0.00773928734, 0.752056122},
+ {74, 0.659051716, -0.0036896253, 0.0066797086, 0.752058923},
+ {75, 0.659064054, -0.0020161632, 0.00523364916, 0.752065897},
+ {76, 0.659067333, -0.00186654879, 0.00511644362, 0.752064168},
+ {77, 0.659079969, -0.00075705623, 0.00415926799, 0.752061069},
+ {78, 0.659078121, 0.000442718359, 0.00312915491, 0.752067864},
+ {79, 0.659079075, 0.00105524715, 0.00259826705, 0.75206846},
+ {80, 0.659089386, 0.00188916794, 0.00188070617, 0.752059937},
+ {81, 0.659085572, 0.00337160076, 0.00060498598, 0.752060175},
+ {82, 0.659085691, 0.00340798288, 0.000560570043, 0.752059937},
+ {83, 0.659095883, 0.00378580485, 0.000232291481, 0.752049446},
+ {84, 0.659081638, 0.00668345811, -0.0022598498, 0.7520383},
+ {85, 0.659063339, 0.0100189131, -0.0051450599, 0.752003133},
+ {86, 0.659041882, 0.0129636731, -0.0076926956, 0.751955271},
+ {87, 0.659003139, 0.0158298463, -0.0101624578, 0.751904964},
+ {88, 0.658960998, 0.0188479684, -0.0127720097, 0.751832485},
+ {89, 0.658907771, 0.0216670353, -0.0152069358, 0.75175786},
+ {90, 0.658830881, 0.0249282885, -0.0180193726, 0.751662016},
+ {91, 0.658760428, 0.0274346396, -0.0201914124, 0.751581252},
+ {92, 0.65866369, 0.0307396837, -0.0230479613, 0.751456022},
+ {93, 0.658627212, 0.0318116881, -0.0239733495, 0.751414418},
+ {94, 0.658586621, 0.0330553539, -0.0250404291, 0.75136143},
+ {95, 0.658531964, 0.0346177965, -0.0263929218, 0.751292646},
+ {96, 0.658476055, 0.0360497534, -0.0276233312, 0.751230121},
+ {97, 0.658435822, 0.0372256227, -0.0286456961, 0.751169741},
+ {98, 0.658387423, 0.0384364426, -0.0296922289, 0.751110613},
+ {99, 0.65831244, 0.0401550978, -0.03117029, 0.751026392},
+ {100, 0.658234835, 0.0421434119, -0.0328934044, 0.750912011},
+ {101, 0.658166826, 0.0435521193, -0.0341114923, 0.750836849},
+ {102, 0.658006251, 0.0468223207, -0.0369375683, 0.750647068},
+ {103, 0.657687306, 0.0528209172, -0.0421276838, 0.750255048},
+ {104, 0.657380164, 0.0578713343, -0.04649055, 0.749893904},
+ {105, 0.657051623, 0.0628299713, -0.0507738553, 0.749504864},
+ {106, 0.656661451, 0.0682729557, -0.0554763936, 0.749037385},
+ {107, 0.656253576, 0.0734428242, -0.0599429123, 0.748561442},
+ {108, 0.65579617, 0.0788748637, -0.0646305457, 0.748019516},
+ {109, 0.655341923, 0.0839629173, -0.0690282509, 0.747470617},
+ {110, 0.654825687, 0.0893458501, -0.0736799911, 0.746854722},
+ {111, 0.654306591, 0.0944384262, -0.0780777559, 0.746235967},
+ {112, 0.653905034, 0.0982123464, -0.081350185, 0.745751083},
+ {113, 0.653889358, 0.0983169302, -0.0814405531, 0.745741248},
+ {114, 0.653754771, 0.0995905176, -0.0825451612, 0.745568752},
+ {115, 0.653559327, 0.101327568, -0.0840517581, 0.745337725},
+ {116, 0.653486311, 0.101926908, -0.084565334, 0.745261908},
+ {117, 0.653454244, 0.102285959, -0.0848761573, 0.745205522},
+ {118, 0.653331697, 0.10331127, -0.0857707188, 0.745069087},
+ {119, 0.653165817, 0.104693756, -0.086964719, 0.74488306},
+ {120, 0.653133869, 0.105033398, -0.0872574225, 0.744828999},
+ {121, 0.652959108, 0.106485046, -0.0885085836, 0.744628489},
+ {122, 0.652808726, 0.107689828, -0.08954788, 0.744462848},
+ {123, 0.652848661, 0.107390128, -0.0892970338, 0.744501293},
+ {124, 0.652884662, 0.107052729, -0.0890009999, 0.744553685},
+ {125, 0.652882993, 0.107067242, -0.0890129656, 0.744551659},
+ {126, 0.653037667, 0.10579887, -0.0879167467, 0.744727552},
+ {127, 0.653030813, 0.105841972, -0.0879482701, 0.744723678},
+ {128, 0.653028786, 0.105822705, -0.0879359096, 0.744729698},
+ {129, 0.653202057, 0.104382358, -0.086694628, 0.744926453},
+ {130, 0.653204918, 0.104315944, -0.0866344944, 0.744940281},
+ {131, 0.653313756, 0.103389755, -0.0858335346, 0.745066702},
+ {132, 0.653347254, 0.103146195, -0.0856202766, 0.745095551},
+ {133, 0.653345823, 0.103125818, -0.0855975673, 0.745102286},
+ {134, 0.653355181, 0.103096195, -0.0855647624, 0.745101869},
+ {135, 0.653470516, 0.102088943, -0.0846945494, 0.7452389},
+ {136, 0.653617024, 0.100779228, -0.0835572481, 0.745417058},
+ {137, 0.653800011, 0.0991299525, -0.082135506, 0.745635748},
+ {138, 0.653947353, 0.0978159755, -0.080986537, 0.745805621},
+ {139, 0.654067397, 0.0966622904, -0.0799856335, 0.745958865},
+ {140, 0.654223025, 0.0952022597, -0.0787284747, 0.746143818},
+ {141, 0.654389501, 0.0935987458, -0.0773430988, 0.74634558},
+ {142, 0.654518366, 0.092344664, -0.0762629285, 0.746500015},
+ {143, 0.654617488, 0.0913523883, -0.0754051134, 0.746622264},
+ {144, 0.654736042, 0.090146333, -0.0743553415, 0.746770203},
+ {145, 0.65474689, 0.0899820179, -0.0742119923, 0.74679482},
+ {146, 0.654898226, 0.0884248391, -0.0728671104, 0.746980488},
+ {147, 0.655023336, 0.0871646181, -0.071778588, 0.747124255},
+ {148, 0.655022919, 0.0870939791, -0.0717189759, 0.74713856},
+ {149, 0.655124307, 0.0859745964, -0.0707532912, 0.747271419},
+ {150, 0.655247986, 0.0847294331, -0.0696794391, 0.747406125},
+ {151, 0.655266643, 0.0844557062, -0.0694452226, 0.747442544},
+ {152, 0.655408561, 0.0828984827, -0.068095766, 0.747616589},
+ {153, 0.655416489, 0.0828243867, -0.0680285767, 0.74762398},
+ {154, 0.655408025, 0.0828077197, -0.0680083185, 0.747635007},
+ {155, 0.65541029, 0.0828194618, -0.0680072904, 0.747631848},
+ {156, 0.655415952, 0.0828179941, -0.0680188909, 0.747625947},
+ {157, 0.655408204, 0.0828237757, -0.0680112243, 0.747632861},
+ {158, 0.655411661, 0.0828248709, -0.0680120066, 0.747629583},
+ {159, 0.655415952, 0.0828266442, -0.0680156946, 0.747625291},
+ {160, 0.65541023, 0.0828369409, -0.0680201352, 0.747628808},
+ {161, 0.655414581, 0.0828315392, -0.0680203661, 0.747625589},
+ {162, 0.655412495, 0.0828286409, -0.0680262148, 0.747627139},
+ {163, 0.655427039, 0.0826443061, -0.067858316, 0.747650027},
+ {164, 0.655558646, 0.0811724141, -0.0665883943, 0.747810066},
+ {165, 0.65568614, 0.0798047706, -0.0654065013, 0.747949839},
+ {166, 0.655844986, 0.0779568255, -0.0638113841, 0.748143196},
+ {167, 0.655994177, 0.0762742534, -0.0623548292, 0.748308659},
+ {168, 0.656093478, 0.0750725418, -0.0613097325, 0.748429418},
+ {169, 0.656221986, 0.0734601691, -0.0599256195, 0.74858886},
+ {170, 0.656351089, 0.0718650594, -0.0585528947, 0.748739123},
+ {171, 0.656432629, 0.0708063543, -0.0576380901, 0.748839438},
+ {172, 0.656520605, 0.0696695521, -0.0566561148, 0.748943985},
+ {173, 0.656867206, 0.0648952946, -0.0525329337, 0.749369323},
+ {174, 0.657243311, 0.059311986, -0.0477098115, 0.749824762},
+ {175, 0.657571256, 0.0538619794, -0.0429979973, 0.750233293},
+ {176, 0.657853782, 0.048729416, -0.0385643691, 0.750577509},
+ {177, 0.658099711, 0.0437107496, -0.0342282169, 0.750881135},
+ {178, 0.658320844, 0.0385339446, -0.0297536291, 0.751161456},
+ {179, 0.658492982, 0.0340366922, -0.0258755479, 0.751371443},
+ {180, 0.658663094, 0.0287951287, -0.0213574599, 0.751583457},
+ {181, 0.658790171, 0.0242626518, -0.0174401384, 0.751733124},
+ {182, 0.658877611, 0.0204859581, -0.0141873658, 0.751837313},
+ {183, 0.658928394, 0.0173734985, -0.011493193, 0.751917243},
+ {184, 0.658970833, 0.0149078798, -0.00935786217, 0.751962602},
+ {185, 0.6590029, 0.0116474228, -0.00654088985, 0.752021849},
+ {186, 0.659025073, 0.00909132697, -0.00433187932, 0.752053499},
+ {187, 0.659030318, 0.00576236146, -0.00145764218, 0.752092898},
+ {188, 0.659047723, 0.00342736416, 0.000562821631, 0.752093196},
+ {189, 0.659070134, 0.000247552089, 0.00330696907, 0.752074182},
+ {190, 0.659072995, -0.00245155487, 0.00563548086, 0.752053857},
+ {191, 0.6590572, -0.00553623028, 0.00829885621, 0.752026677},
+ {192, 0.659037054, -0.00794854201, 0.0103733093, 0.751996994},
+ {193, 0.659034312, -0.00841909926, 0.0107749728, 0.751988649},
+ {194, 0.65901643, -0.00966925174, 0.0118603539, 0.751972795},
+ {195, 0.659002602, -0.0108167836, 0.0128401425, 0.751953304},
+ {196, 0.65898484, -0.0120687988, 0.0139278024, 0.751930475},
+ {197, 0.658959508, -0.013555971, 0.0152168302, 0.751902342},
+ {198, 0.658940732, -0.0146455169, 0.0161549766, 0.751878738},
+ {199, 0.6589306, -0.0154681699, 0.0168696344, 0.751855493},
+ {200, 0.658912599, -0.0164723825, 0.0177370701, 0.751829982},
+ {201, 0.658900678, -0.0174748264, 0.0186041389, 0.751796842},
+ {202, 0.658875704, -0.0190515537, 0.0199677683, 0.751745462},
+ {203, 0.658839464, -0.0208246112, 0.0215008371, 0.751687884},
+ {204, 0.658674061, -0.0263501238, 0.0262742769, 0.751507699},
+ {205, 0.658544302, -0.029957341, 0.0293822028, 0.751371145},
+ {206, 0.658353806, -0.0344228894, 0.0332335606, 0.751186371},
+ {207, 0.658137918, -0.039221935, 0.0373724736, 0.750945747},
+ {208, 0.65789777, -0.0439953543, 0.041496437, 0.750675023},
+ {209, 0.65763855, -0.0485805273, 0.0454508625, 0.75039041},
+ {210, 0.657386124, -0.0525123291, 0.0488519855, 0.750132978},
+ {211, 0.657078624, -0.0569983721, 0.0527226776, 0.749812841},
+ {212, 0.656850457, -0.0602165759, 0.0555025227, 0.749560535},
+ {213, 0.656671941, -0.0626018196, 0.0575619526, 0.749366224},
+ {214, 0.656464279, -0.0653379485, 0.0599172041, 0.749129891},
+ {215, 0.656284511, -0.0675735623, 0.0618479177, 0.748932123},
+ {216, 0.656032205, -0.0705118999, 0.0643904954, 0.748667955},
+ {217, 0.655858457, -0.0724779963, 0.0660807639, 0.748485148},
+ {218, 0.655586481, -0.0753427073, 0.0685560182, 0.748217821},
+ {219, 0.655377746, -0.0775708854, 0.0704767182, 0.747994602},
+ {220, 0.655105472, -0.0803517699, 0.0728817731, 0.747708976},
+ {221, 0.654880762, -0.0825845897, 0.0748028904, 0.747472763},
+ {222, 0.654639244, -0.085048005, 0.0769381747, 0.74719137},
+ {223, 0.654019117, -0.0908610821, 0.0819708854, 0.746514678},
+ {224, 0.653525293, -0.0952476114, 0.0857602507, 0.745974422},
+ {225, 0.652950525, -0.100025296, 0.0898736864, 0.745367944},
+ {226, 0.65235275, -0.104837134, 0.0940363258, 0.744716227},
+ {227, 0.651730359, -0.109723441, 0.0982576385, 0.744011998},
+ {228, 0.651035845, -0.11481636, 0.102655396, 0.743257284},
+ {229, 0.650298178, -0.119971253, 0.107110098, 0.742459953},
+ {230, 0.649562359, -0.124960214, 0.111413196, 0.741647422},
+ {231, 0.648850679, -0.129596338, 0.115402937, 0.740864217},
+ {232, 0.647892296, -0.135638088, 0.120618358, 0.739789903},
+ {233, 0.64683181, -0.141965568, 0.126077816, 0.738619506},
+ {234, 0.645846665, -0.147603512, 0.130941316, 0.737529457},
+ {235, 0.644628644, -0.154339597, 0.136754364, 0.73615998},
+ {236, 0.64332974, -0.161179274, 0.142654613, 0.734709382},
+ {237, 0.64192307, -0.168249816, 0.148746356, 0.733144879},
+ {238, 0.640754223, -0.173937961, 0.153644606, 0.731828511},
+ {239, 0.639458001, -0.180000156, 0.158881232, 0.73037672},
+ {240, 0.637892425, -0.187052637, 0.164966807, 0.728622377},
+ {241, 0.63628757, -0.194024205, 0.170979619, 0.726814091},
+ {242, 0.63555479, -0.197128296, 0.173664123, 0.725983024},
+ {243, 0.634888649, -0.199906722, 0.176069722, 0.725226283},
+ {244, 0.634375274, -0.202046439, 0.177921757, 0.724630356},
+ {245, 0.633659601, -0.204924792, 0.180408373, 0.723833025},
+ {246, 0.633069217, -0.207302108, 0.18247363, 0.723154604},
+ {247, 0.632370055, -0.210099474, 0.184892014, 0.722344398},
+ {248, 0.6318416, -0.21219179, 0.186702058, 0.721729398},
+ {249, 0.631132841, -0.21498014, 0.189120248, 0.720894217},
+ {250, 0.630558252, -0.217223257, 0.191057503, 0.720213532},
+ {251, 0.629796565, -0.22009781, 0.193544507, 0.719342649},
+ {252, 0.629273832, -0.222071514, 0.195255965, 0.718730748},
+ {253, 0.628276467, -0.225734845, 0.198415488, 0.717595875},
+ {254, 0.627295792, -0.229303047, 0.201506719, 0.716460168},
+ {255, 0.626494467, -0.232215554, 0.204023704, 0.715510368},
+ {256, 0.625500381, -0.235763654, 0.207109764, 0.714332104},
+ {257, 0.624635458, -0.238828167, 0.209768981, 0.713294268},
+ {258, 0.623720825, -0.242001623, 0.212518513, 0.712210357},
+ {259, 0.622675419, -0.245543346, 0.215598986, 0.710985839},
+ {260, 0.621802032, -0.248494446, 0.218159735, 0.709943056},
+ {261, 0.620759785, -0.251931071, 0.221144259, 0.708719492},
+ {262, 0.619515538, -0.25601849, 0.224703163, 0.707222402},
+ {263, 0.618366659, -0.25975132, 0.227957413, 0.705823898},
+ {264, 0.617170453, -0.263528049, 0.23125349, 0.704397261},
+ {265, 0.615848064, -0.267645419, 0.234825343, 0.702818811},
+ {266, 0.614374518, -0.272141248, 0.238746673, 0.701058626},
+ {267, 0.613175571, -0.275779426, 0.241938695, 0.699590743},
+ {268, 0.611879468, -0.279685855, 0.245358989, 0.697981656},
+ {269, 0.610614061, -0.283435732, 0.248651266, 0.696410239},
+ {270, 0.609146118, -0.287653863, 0.252346486, 0.694634855},
+ {271, 0.607690036, -0.291807711, 0.255986392, 0.692843437},
+ {272, 0.606531739, -0.295123011, 0.25891304, 0.691365123},
+ {273, 0.60525018, -0.298767895, 0.262134492, 0.689706922},
+ {274, 0.603860676, -0.302631766, 0.26555416, 0.687929809},
+ {275, 0.602513313, -0.306302875, 0.268806279, 0.686221182},
+ {276, 0.601239562, -0.309749931, 0.271864206, 0.684584498},
+ {277, 0.599934816, -0.313269734, 0.275011778, 0.682868183},
+ {278, 0.598488748, -0.317111105, 0.278445393, 0.680969954},
+ {279, 0.597114384, -0.320727229, 0.281692356, 0.679145038},
+ {280, 0.595940828, -0.323821783, 0.284496397, 0.677536547},
+ {281, 0.594525576, -0.327445716, 0.287751645, 0.675660968},
+ {282, 0.59234643, -0.332818985, 0.292547703, 0.672884166},
+ {283, 0.590478063, -0.337396294, 0.296652198, 0.670445383},
+ {284, 0.588218391, -0.342743605, 0.301431894, 0.66758132},
+ {285, 0.585822284, -0.348304302, 0.306414574, 0.664534807},
+ {286, 0.583446681, -0.353730381, 0.311296403, 0.661482811},
+ {287, 0.580889165, -0.359390289, 0.316385329, 0.658260405},
+ {288, 0.578506351, -0.36459887, 0.321091533, 0.655208707},
+ {289, 0.575960577, -0.37005651, 0.326032251, 0.651943743},
+ {290, 0.573624074, -0.374987662, 0.330529571, 0.648914456},
+ {291, 0.571332753, -0.37976259, 0.334888995, 0.645916939},
+ {292, 0.569999039, -0.382625163, 0.33761254, 0.643985152},
+ {293, 0.570193112, -0.382570773, 0.337801039, 0.643746853},
+ {294, 0.569960892, -0.38333568, 0.338714093, 0.643017232},
+ {295, 0.570140541, -0.383321136, 0.338952899, 0.642740726},
+ {296, 0.569956899, -0.384019881, 0.339810014, 0.642033517},
+ {297, 0.570137501, -0.384044766, 0.340094715, 0.64170748},
+ {298, 0.56993103, -0.384788901, 0.341011971, 0.640957892},
+ {299, 0.569992363, -0.385048419, 0.341520011, 0.640476823},
+ {300, 0.569880784, -0.385623664, 0.342311889, 0.639806986},
+ {301, 0.569801927, -0.386146694, 0.343063682, 0.639158726},
+ {302, 0.569976568, -0.386063248, 0.343191803, 0.638984621},
+ {303, 0.569644213, -0.386218995, 0.34301886, 0.639279664},
+ {304, 0.567587912, -0.389772445, 0.345874339, 0.6374107},
+ {305, 0.565010369, -0.394224465, 0.349581927, 0.63493526},
+ {306, 0.561841071, -0.399544686, 0.353997678, 0.631968617},
+ {307, 0.559042811, -0.404691309, 0.358615309, 0.628562868},
+ {308, 0.556095481, -0.409648865, 0.362814099, 0.625549018},
+ {309, 0.552994847, -0.414859742, 0.367332995, 0.622217536},
+ {310, 0.550267994, -0.419608593, 0.371589631, 0.618914306},
+ {311, 0.547347248, -0.424566716, 0.37608552, 0.615397334},
+ {312, 0.545172751, -0.427983731, 0.3789922, 0.613173246},
+ {313, 0.543354928, -0.43095091, 0.381562591, 0.611111164},
+ {314, 0.541590452, -0.433808208, 0.384092271, 0.609067738},
+ {315, 0.539201438, -0.437122881, 0.386555165, 0.607256532},
+ {316, 0.536804199, -0.440208763, 0.388344139, 0.606008589},
+ {317, 0.534612, -0.443398416, 0.390665144, 0.604126215},
+ {318, 0.532221317, -0.446612895, 0.39298436, 0.602362573},
+ {319, 0.530125618, -0.449450582, 0.395012915, 0.60077107},
+ {320, 0.52785629, -0.452709973, 0.397419602, 0.598731279},
+ {321, 0.525255024, -0.455923557, 0.39923054, 0.597374082},
+ {322, 0.523163021, -0.458615839, 0.400962412, 0.595987499},
+ {323, 0.522831619, -0.459365666, 0.401864618, 0.595092535},
+ {324, 0.522210062, -0.460511178, 0.403224587, 0.593831658},
+ {325, 0.521095157, -0.461771905, 0.403903991, 0.59337008},
+ {326, 0.519684374, -0.463174611, 0.403922319, 0.593501687},
+ {327, 0.518617213, -0.464547932, 0.404559612, 0.592927396},
+ {328, 0.518031895, -0.465649217, 0.406002104, 0.591587782},
+ {329, 0.517513752, -0.466500729, 0.407107472, 0.590609908},
+ {330, 0.516297221, -0.467817336, 0.407472879, 0.590381145},
+ {331, 0.514818609, -0.469501644, 0.407902628, 0.590038538},
+ {332, 0.513865471, -0.470850855, 0.408954233, 0.589065611},
+ {333, 0.513494074, -0.471582025, 0.410059422, 0.588035285},
+ {334, 0.513592541, -0.471514285, 0.410128236, 0.587955654},
+ {335, 0.51293242, -0.472402006, 0.41069743, 0.587421834},
+ {336, 0.512629509, -0.472864121, 0.411113739, 0.587023079},
+ {337, 0.512234509, -0.473436326, 0.411709607, 0.586488843},
+ {338, 0.511348784, -0.474661261, 0.412684202, 0.585585892},
+ {339, 0.511278093, -0.47483021, 0.412810415, 0.585421681},
+ {340, 0.510547936, -0.475843996, 0.413716167, 0.584595799},
+ {341, 0.510453463, -0.475946754, 0.413803279, 0.584532976},
+ {342, 0.509865463, -0.476841629, 0.414549947, 0.583787322},
+ {343, 0.509842336, -0.476859868, 0.414534628, 0.583803475},
+ {344, 0.509030104, -0.477976233, 0.415545583, 0.582879782},
+ {345, 0.509003341, -0.478044927, 0.415601104, 0.582807302},
+ {346, 0.508126378, -0.479276478, 0.416606337, 0.581842721},
+ {347, 0.508105159, -0.479301304, 0.416693032, 0.581778705},
+ {348, 0.507398546, -0.480274469, 0.417528063, 0.580993652},
+ {349, 0.507386208, -0.480321586, 0.417519778, 0.58097136},
+ {350, 0.506758571, -0.48119998, 0.418299437, 0.580230892},
+ {351, 0.506738186, -0.481200635, 0.418319404, 0.580233872},
+ {352, 0.505997181, -0.482251227, 0.419207215, 0.579366922},
+ {353, 0.505958319, -0.482317984, 0.419248968, 0.579314947},
+ {354, 0.505221367, -0.483304769, 0.420131773, 0.578495741},
+ {355, 0.505010903, -0.483606964, 0.420396298, 0.578234613},
+ {356, 0.504653573, -0.484097719, 0.420777708, 0.577858388},
+ {357, 0.503834486, -0.484918982, 0.420986533, 0.577732384},
+ {358, 0.502947807, -0.485574871, 0.420465052, 0.578333557},
+ {359, 0.502021074, -0.48667863, 0.42085591, 0.577926457},
+ {360, 0.502277076, -0.486519307, 0.421089828, 0.577667832},
+ {361, 0.501658022, -0.487442672, 0.422288269, 0.576551378},
+ {362, 0.50155592, -0.487555981, 0.422262281, 0.576563418},
+ {363, 0.501538694, -0.487630218, 0.422170639, 0.576582789},
+ {364, 0.500762284, -0.488681465, 0.423221439, 0.575596392},
+ {365, 0.500602663, -0.48885116, 0.423375666, 0.575477779},
+ {366, 0.500504553, -0.489039183, 0.423444003, 0.575352967},
+ {367, 0.499930978, -0.48984471, 0.424146295, 0.574648738},
+ {368, 0.499891043, -0.489821255, 0.424201876, 0.574662328},
+ {369, 0.499291658, -0.490666538, 0.424922585, 0.573929489},
+ {370, 0.499299884, -0.490707755, 0.424875349, 0.573921978},
+ {371, 0.498817652, -0.491320103, 0.42544657, 0.57339412},
+ {372, 0.498543441, -0.491691649, 0.425814062, 0.573041081},
+ {373, 0.498515278, -0.491765171, 0.425773889, 0.573032498},
+ {374, 0.498092502, -0.492338181, 0.426271111, 0.572538197},
+ {375, 0.497573197, -0.493001908, 0.426920295, 0.57193464},
+ {376, 0.497545511, -0.493051589, 0.426905632, 0.571926713},
+ {377, 0.496773809, -0.494125366, 0.427790344, 0.571009159},
+ {378, 0.496792078, -0.494060457, 0.42779699, 0.571044445},
+ {379, 0.496758819, -0.494097233, 0.427825302, 0.571020246},
+ {380, 0.496116281, -0.494996518, 0.428542435, 0.570261836},
+ {381, 0.496105194, -0.495000333, 0.428551048, 0.570261717},
+ {382, 0.495525062, -0.495755851, 0.429244906, 0.569587529},
+ {383, 0.495256484, -0.496156901, 0.429525942, 0.569259942},
+ {384, 0.495250911, -0.496182591, 0.429521561, 0.569245756},
+ {385, 0.49526155, -0.496147215, 0.429548413, 0.569247067},
+ {386, 0.494950682, -0.496567398, 0.429890454, 0.568892658},
+ {387, 0.494332075, -0.497413278, 0.430570185, 0.568177104},
+ {388, 0.494330823, -0.497396022, 0.430588007, 0.568179846},
+ {389, 0.494325489, -0.497390479, 0.430598885, 0.568180978},
+ {390, 0.494326085, -0.49742645, 0.430575311, 0.568166912},
+ {391, 0.494335711, -0.49742204, 0.430564225, 0.568170667},
+ {392, 0.494199365, -0.497498214, 0.43049863, 0.568272352},
+ {393, 0.493406743, -0.498047739, 0.429884672, 0.568944156},
+ {394, 0.492726117, -0.498578727, 0.429241717, 0.56955409},
+ {395, 0.492819488, -0.49855569, 0.429233611, 0.569499433},
+ {396, 0.492450267, -0.499195546, 0.430371702, 0.568398476},
+ {397, 0.492500842, -0.499174535, 0.430501163, 0.568274915},
+ {398, 0.492405027, -0.499280751, 0.430336446, 0.568389535},
+ {399, 0.492402285, -0.499316216, 0.430349112, 0.568351209},
+ {400, 0.491811812, -0.500085175, 0.431150109, 0.567578733},
+ {401, 0.491764158, -0.500122726, 0.431100845, 0.567624331},
+ {402, 0.491770506, -0.500174165, 0.431095541, 0.5675776},
+ {403, 0.491772532, -0.500153899, 0.431141853, 0.567558467},
+ {404, 0.490922332, -0.501229227, 0.432067424, 0.566641152},
+ {405, 0.490952075, -0.501244128, 0.432051033, 0.566614926},
+ {406, 0.490941852, -0.501259744, 0.432036281, 0.566621006},
+ {407, 0.490931511, -0.501238227, 0.432081163, 0.566614866},
+ {408, 0.489955723, -0.502532184, 0.433182955, 0.565470934},
+ {409, 0.489991695, -0.502523601, 0.433100134, 0.565510869},
+ {410, 0.489985764, -0.502507865, 0.433144897, 0.56549567},
+ {411, 0.489983767, -0.502507567, 0.433160663, 0.565485656},
+ {412, 0.489985436, -0.502550066, 0.433124334, 0.565474153},
+ {413, 0.489990264, -0.502543569, 0.433142662, 0.565461755},
+ {414, 0.489975661, -0.502538025, 0.433178008, 0.565452218},
+ {415, 0.489969581, -0.502568185, 0.433163971, 0.565441489},
+ {416, 0.489271849, -0.50347662, 0.433929235, 0.564650059},
+ {417, 0.489219576, -0.503531098, 0.434013069, 0.564582527},
+ {418, 0.489184022, -0.503557503, 0.433982015, 0.564613521},
+ {419, 0.488619238, -0.503975034, 0.433511198, 0.56509161},
+ {420, 0.487940878, -0.504477322, 0.432920426, 0.565682054},
+ {421, 0.487931699, -0.504507542, 0.432864845, 0.565705657},
+ {422, 0.487575144, -0.505152404, 0.433925152, 0.56462431},
+ {423, 0.487628192, -0.505096436, 0.434029192, 0.564548552},
+ {424, 0.487517387, -0.505191863, 0.433896571, 0.564660788},
+ {425, 0.487542927, -0.50521493, 0.433907747, 0.564609528},
+ {426, 0.487573475, -0.505161464, 0.433980912, 0.564574659},
+ {427, 0.487393618, -0.505350769, 0.434071988, 0.564490616},
+ {428, 0.486660779, -0.506371021, 0.434919447, 0.563555479},
+ {429, 0.486674368, -0.506347835, 0.434919238, 0.563564777},
+ {430, 0.486651123, -0.506339192, 0.434928209, 0.563585639},
+ {431, 0.486678571, -0.506361961, 0.434937567, 0.563534319},
+ {432, 0.486551404, -0.506543219, 0.435027182, 0.563411891},
+ {433, 0.485686064, -0.50763309, 0.436014384, 0.562413752},
+ {434, 0.48571226, -0.507616162, 0.436008781, 0.562410653},
+ {435, 0.485699207, -0.507668197, 0.435962558, 0.562410951},
+ {436, 0.485704571, -0.50765413, 0.435990602, 0.562397182},
+ {437, 0.4856897, -0.507659793, 0.436017781, 0.562383831},
+ {438, 0.48568514, -0.507692099, 0.435989916, 0.562380314},
+ {439, 0.485699803, -0.507690191, 0.435993254, 0.562366724},
+ {440, 0.485664815, -0.507704318, 0.436009407, 0.562371671},
+ {441, 0.485179454, -0.508046985, 0.435647786, 0.562761128},
+ {442, 0.484550148, -0.50853467, 0.435052633, 0.563323021},
+ {443, 0.484444916, -0.508643329, 0.434933424, 0.5634076},
+ {444, 0.484691173, -0.508455217, 0.435218126, 0.563145697},
+ {445, 0.484792709, -0.508362353, 0.435316354, 0.563066125},
+ {446, 0.484694213, -0.508464992, 0.435208738, 0.563141465},
+ {447, 0.484716356, -0.50848341, 0.435210526, 0.563104272},
+ {448, 0.48475036, -0.508430064, 0.435281187, 0.563068628},
+ {449, 0.484695047, -0.508469224, 0.435250133, 0.563104987},
+ {450, 0.484729886, -0.508482218, 0.435243845, 0.563067913},
+ {451, 0.484725595, -0.508479059, 0.435271591, 0.563053131},
+ {452, 0.484574765, -0.508563578, 0.435189366, 0.563170195},
+ {453, 0.483870775, -0.509085715, 0.434574187, 0.56377852},
+ {454, 0.483231813, -0.509595692, 0.433991194, 0.564314544},
+ {455, 0.483303338, -0.509552002, 0.4340038, 0.564283133},
+ {456, 0.483584315, -0.509325624, 0.434346855, 0.563982606},
+ {457, 0.483652174, -0.509275734, 0.434407622, 0.563922703},
+ {458, 0.483566791, -0.509354293, 0.434281319, 0.564022362},
+ {459, 0.482875526, -0.510259271, 0.435075611, 0.563183784},
+ {460, 0.482897341, -0.51023376, 0.435153335, 0.563128173},
+ {461, 0.482857049, -0.510277629, 0.43509233, 0.563170135},
+ {462, 0.482875586, -0.510300815, 0.435096741, 0.563129783},
+ {463, 0.482247621, -0.511095822, 0.435816079, 0.562390089},
+ {464, 0.482242733, -0.51107955, 0.435786963, 0.562431753},
+ {465, 0.482264102, -0.511098623, 0.435788214, 0.562394977},
+ {466, 0.482254416, -0.51110971, 0.435776204, 0.562402725},
+ {467, 0.481468707, -0.512107551, 0.43665579, 0.561485052},
+ {468, 0.481478274, -0.512113869, 0.436657578, 0.561469793},
+ {469, 0.481475145, -0.512135983, 0.436625004, 0.561477542},
+ {470, 0.481474519, -0.512125075, 0.436667711, 0.561454892},
+ {471, 0.480512291, -0.513367772, 0.437705278, 0.560335338},
+ {472, 0.480508864, -0.513406873, 0.437685281, 0.560318112},
+ {473, 0.480511308, -0.513397813, 0.437701941, 0.560311198},
+ {474, 0.480498463, -0.513401449, 0.437718034, 0.560306311},
+ {475, 0.480511814, -0.513412476, 0.437701613, 0.560297549},
+ {476, 0.479750901, -0.514393032, 0.438515186, 0.559413373},
+ {477, 0.479717642, -0.514420331, 0.438567787, 0.559375584},
+ {478, 0.479727894, -0.514414966, 0.438564897, 0.559374034},
+ {479, 0.479729533, -0.51443404, 0.438547134, 0.559369028},
+ {480, 0.479727983, -0.514429331, 0.43857494, 0.559352875},
+ {481, 0.479393899, -0.514847815, 0.438941866, 0.558966279},
+ {482, 0.479035228, -0.515323758, 0.439311504, 0.558544755},
+ {483, 0.479029715, -0.515337765, 0.439330608, 0.558521509},
+ {484, 0.479024291, -0.515333712, 0.439331204, 0.558529317},
+ {485, 0.479017973, -0.515354037, 0.43933326, 0.558514416},
+ {486, 0.479020745, -0.515365779, 0.439333379, 0.558501184},
+ {487, 0.479026824, -0.515352547, 0.439337254, 0.558504939},
+ {488, 0.479019254, -0.515362322, 0.439351141, 0.558491647},
+ {489, 0.479023695, -0.515376985, 0.439335495, 0.55848664},
+ {490, 0.479024112, -0.515378714, 0.439337045, 0.558483481},
+ {491, 0.47901091, -0.515387595, 0.439359605, 0.558468819},
+ {492, 0.478881598, -0.515496552, 0.439244717, 0.558569431},
+ {493, 0.47810328, -0.516054928, 0.438576013, 0.559245586},
+ {494, 0.477413028, -0.516592443, 0.437954068, 0.559826195},
+ {495, 0.477547467, -0.516539156, 0.437988013, 0.559734106},
+ {496, 0.477826208, -0.516305506, 0.43832472, 0.559448063},
+ {497, 0.477344841, -0.516598582, 0.438004225, 0.559839368},
+ {498, 0.476735055, -0.517099857, 0.437386721, 0.56037879},
+ {499, 0.476712823, -0.517205536, 0.437226117, 0.56042552},
+ {500, 0.476927668, -0.517000139, 0.437510937, 0.56020993},
+ {501, 0.476975411, -0.516934395, 0.437611252, 0.560151458},
+ {502, 0.476935714, -0.517012537, 0.437479824, 0.56021589},
+ {503, 0.47696954, -0.517033517, 0.437475622, 0.560170889},
+ {504, 0.476964265, -0.516977727, 0.437561512, 0.560159802},
+ {505, 0.476942271, -0.517000794, 0.437529683, 0.560182273},
+ {506, 0.476976514, -0.517046809, 0.437480628, 0.560148776},
+ {507, 0.47683844, -0.51718843, 0.437645525, 0.560006797},
+ {508, 0.476058245, -0.518156409, 0.438499928, 0.559106827},
+ {509, 0.476098716, -0.518170774, 0.438434601, 0.559110284},
+ {510, 0.476084799, -0.518186271, 0.438424259, 0.559115827},
+ {511, 0.476087272, -0.518146574, 0.438481331, 0.559105694},
+ {512, 0.476095229, -0.518159091, 0.438458294, 0.559105456},
+ {513, 0.476095498, -0.518213451, 0.438413888, 0.559089601},
+ {514, 0.4760952, -0.518183887, 0.438460678, 0.559080541},
+ {515, 0.476085871, -0.518172503, 0.438477486, 0.559085965},
+ {516, 0.0370524004, 0.0440806001, 0.0123789189, -0.998263896},
+ {517, 0.0370449238, 0.0440889448, 0.0123745501, -0.998263836},
+ {518, 0.0370409898, 0.0440967716, 0.0123734223, -0.998263657},
+ {519, 0.0370309874, 0.0440995917, 0.0123788277, -0.998263836},
+ {520, 0.0370330736, 0.0440959446, 0.0123740053, -0.998264015},
+ {521, 0.0370321497, 0.0440911986, 0.0123779383, -0.998264194},
+ {522, 0.0370139964, 0.0440976545, 0.0123810628, -0.998264551},
+ {523, 0.0370108187, 0.0441033393, 0.0123755792, -0.998264492},
+ {524, 0.0370233841, 0.044103913, 0.0123750409, -0.998264015},
+ {525, 0.0370189883, 0.0441005193, 0.0123736132, -0.998264313},
+ {526, 0.0370346941, 0.044092048, 0.0123764547, -0.998264074},
+ {527, 0.037029013, 0.0440929532, 0.0123797227, -0.998264194},
+ {528, 0.0370268449, 0.0440919474, 0.012377236, -0.998264372},
+ {529, 0.0370154232, 0.044085823, 0.0123729547, -0.998265147},
+ {530, 0.0370151065, 0.0440870598, 0.012372789, -0.998265088},
+ {531, 0.0370196775, 0.0440828204, 0.0123737473, -0.998265088},
+ {532, 0.0370199606, 0.044073157, 0.0123737231, -0.998265505},
+ {533, 0.0370179899, 0.044073157, 0.0123795569, -0.998265505},
+ {534, 0.0370194577, 0.0440693386, 0.0123824561, -0.998265624},
+ {535, 0.0370266363, 0.0440777577, 0.0123835625, -0.998264909},
+ {536, 0.0370357446, 0.0440709665, 0.0123860743, -0.998264849},
+ {537, 0.0370430462, 0.0440686159, 0.0123895947, -0.998264611},
+ {538, 0.0370455533, 0.0440553352, 0.0123932464, -0.998265088},
+ {539, 0.037042249, 0.0440517887, 0.0124010574, -0.998265326},
+ {540, 0.0370273665, 0.0440439619, 0.0124026816, -0.99826616},
+ {541, 0.0370185189, 0.044043351, 0.0124024795, -0.998266518},
+ {542, 0.0370172374, 0.0440495647, 0.0124068083, -0.99826628},
+ {543, 0.037007086, 0.0440357774, 0.0124027273, -0.998267293},
+ {544, 0.0346000232, 0.0416830704, 0.0122246407, -0.998456776},
+ {545, 0.0210457798, 0.0363395326, 0.0108401179, -0.999059021},
+ {546, -0.00319611095, 0.0311228037, 0.00980776455, -0.999462366},
+ {547, -0.0330819599, 0.0269886889, 0.00935348123, -0.999044478},
+ {548, -0.0631637126, 0.0232724398, 0.00975490175, -0.997684121},
+ {549, -0.0897025317, 0.02034829, 0.00990596134, -0.995711505},
+ {550, -0.111082971, 0.0150837628, 0.0100772697, -0.993645608},
+ {551, -0.128372252, 0.0111945663, 0.00988269877, -0.991613626},
+ {552, -0.144799814, 0.00613946281, 0.0104952678, -0.989386261},
+ {553, -0.163413361, 0.00156995514, 0.0110220732, -0.986494839},
+ {554, -0.185518607, 0.00127247092, 0.010798933, -0.982580602},
+ {555, -0.209671646, -0.000635688368, 0.0109949047, -0.977709889},
+ {556, -0.233406708, -0.00120931456, 0.0113050705, -0.972312748},
+ {557, -0.254934579, -0.00286275963, 0.0119185904, -0.96688056},
+ {558, -0.274195313, -0.00321483123, 0.0119491164, -0.961594462},
+ {559, -0.292469442, -0.00472290255, 0.0121575799, -0.956185877},
+ {560, -0.311465263, -0.00541878166, 0.0122334287, -0.950163364},
+ {561, -0.331908613, -0.00716738822, 0.0127285402, -0.943198502},
+ {562, -0.353470892, -0.00775004784, 0.0129505517, -0.935323834},
+ {563, -0.374929547, -0.00812129024, 0.0131232645, -0.926924884},
+ {564, -0.395240575, -0.00837720744, 0.0131587014, -0.91844523},
+ {565, -0.414236009, -0.00754731754, 0.0127332993, -0.91004914},
+ {566, -0.432460845, -0.00792134367, 0.012797148, -0.901527107},
+ {567, -0.450703919, -0.007056267, 0.0122274682, -0.892561913},
+ {568, -0.469455659, -0.0071497825, 0.0121129621, -0.88284409},
+ {569, -0.488692611, -0.00635628914, 0.0115453331, -0.872356534},
+ {570, -0.508042097, -0.00618553301, 0.0111958301, -0.861237288},
+ {571, -0.527093887, -0.00531736435, 0.0104035558, -0.849726677},
+ {572, -0.545538366, -0.00449276017, 0.00965088699, -0.838018239},
+ {573, -0.562923372, -0.00406410964, 0.00905191805, -0.826449573},
+ {574, -0.578186154, -0.00291146664, 0.00796604902, -0.815860808},
+ {575, -0.591184199, -0.00309940684, 0.00783365872, -0.806492627},
+ {576, -0.602057993, -0.00215079263, 0.00685102772, -0.798420072},
+ {577, -0.61161381, -0.00227839453, 0.00666431896, -0.791125119},
+ {578, -0.62090528, -0.00105790363, 0.00541821588, -0.783866227},
+ {579, -0.63038522, -0.00110500015, 0.00522540836, -0.776264012},
+ {580, -0.640760779, 0.000204302443, 0.00378249283, -0.767731309},
+ {581, -0.652553618, 2.19426147e-06, 0.00344634638, -0.757734716},
+ {582, -0.665428698, 0.00093525165, 0.00210496318, -0.746457875},
+ {583, -0.677586436, 0.000699968601, 0.0020003377, -0.735440195},
+ {584, -0.686371267, 0.000781146868, 0.00197198498, -0.727248311},
+ {585, -0.691858292, 0.00178975845, 0.000826313626, -0.72203064},
+ {586, -0.694300532, 0.00158063381, 0.000656520133, -0.71968317},
+ {587, -0.694014847, 0.00150759681, 0.00074280001, -0.719958782},
+ {588, -0.692815244, 0.00154587196, 0.000853246544, -0.721113086},
+ {589, -0.691887617, 0.00147925387, 0.000819882145, -0.722003222},
+ {590, -0.691794395, 0.00135747064, 0.000728405954, -0.722092867},
+ {591, -0.69208616, 0.00146018167, 0.000715115806, -0.721813142},
+ {592, -0.692277491, 0.00146979233, 0.000787576719, -0.721629441},
+ {593, -0.692220747, 0.00142659654, 0.000753019995, -0.721684098},
+ {594, -0.692158759, 0.00140897068, 0.000683048682, -0.721743643},
+ {595, -0.692172408, 0.00145566987, 0.000759093498, -0.721730351},
+ {596, -0.691227496, 0.00153154379, 0.000827962591, -0.72263521},
+ {597, -0.688669086, 0.00157913123, 0.000813491875, -0.725073695},
+ {598, -0.684592485, 0.00167997088, 0.000886600697, -0.728923559},
+ {599, -0.680091798, 0.00176853209, 0.00101677957, -0.733124137},
+ {600, -0.676156521, 0.00189879024, 0.00104316126, -0.736754835},
+ {601, -0.673091829, 0.00196564384, 0.00110439421, -0.739555478},
+ {602, -0.670718014, 0.00203086669, 0.00116447301, -0.741708815},
+ {603, -0.668458462, 0.0021147558, 0.00122654403, -0.743745565},
+ {604, -0.666440547, 0.00215929351, 0.00121070549, -0.74555409},
+ {605, -0.66535753, 0.00215419871, 0.00123169913, -0.746520817},
+ {606, -0.664882541, 0.00219306443, 0.00127742509, -0.746943712},
+ {607, -0.664342582, 0.00223960076, 0.00129619252, -0.747423768},
+ {608, -0.663293958, 0.00223759981, 0.00131996488, -0.748354495},
+ {609, -0.661817729, 0.00226927316, 0.00130885327, -0.749660254},
+ {610, -0.660245478, 0.0023354583, 0.00136536197, -0.751044989},
+ {611, -0.658810914, 0.00237004366, 0.00137971714, -0.752303541},
+ {612, -0.657617152, 0.00238154223, 0.00138393277, -0.753347337},
+ {613, -0.65726006, 0.00237918319, 0.00138901966, -0.75365895},
+ {614, -0.657683671, 0.00239734421, 0.00137779873, -0.753289223},
+ {615, -0.658191264, 0.00238129753, 0.00140034221, -0.752845764},
+ {616, -0.658308029, 0.0023727084, 0.00137998688, -0.752743721},
+ {617, -0.761648059, 0.136516824, -0.171267271, -0.609854877},
+ {618, -0.761838138, 0.136397317, -0.171288699, -0.609638155},
+ {619, -0.762661219, 0.13615796, -0.171484098, -0.608606815},
+ {620, -0.764187932, 0.134965912, -0.170782954, -0.607152522},
+ {621, -0.765307724, 0.134520829, -0.170926854, -0.6057989},
+ {622, -0.76582104, 0.13439931, -0.171103686, -0.605126917},
+ {623, -0.765830934, 0.134394124, -0.171097308, -0.605117381},
+ {624, -0.76598984, 0.134304628, -0.171116397, -0.60493052},
+ {625, -0.766148329, 0.134290919, -0.17120187, -0.604708791},
+ {626, -0.766647279, 0.134113923, -0.171293005, -0.604089558},
+ {627, -0.767508864, 0.133845329, -0.171508655, -0.602992833},
+ {628, -0.767921746, 0.133721888, -0.171589479, -0.602471411},
+ {629, -0.768372834, 0.133573622, -0.171698034, -0.601897955},
+ {630, -0.768690228, 0.133469164, -0.171787858, -0.60149008},
+ {631, -0.768872619, 0.133413285, -0.171819761, -0.601260245},
+ {632, -0.769481599, 0.133223027, -0.171980545, -0.600476861},
+ {633, -0.769866824, 0.133102402, -0.172062293, -0.599986196},
+ {634, -0.769697666, 0.133173659, -0.172006428, -0.600203395},
+ {635, -0.76957047, 0.13317968, -0.171993509, -0.600368917},
+ {636, -0.769678354, 0.133142605, -0.17201829, -0.600231707},
+ {637, -0.770046592, 0.133061826, -0.172116175, -0.599749088},
+ {638, -0.770669758, 0.13283059, -0.172249615, -0.598961055},
+ {639, -0.77121973, 0.132668927, -0.172423989, -0.598238289},
+ {640, -0.771888494, 0.13245362, -0.172555596, -0.597384989},
+ {641, -0.772284687, 0.132356942, -0.172660783, -0.596863747},
+ {642, -0.773088396, 0.131454304, -0.1719421, -0.596229911},
+ {643, -0.773566127, 0.131147221, -0.171802863, -0.595717788},
+ {644, -0.774144113, 0.130967528, -0.171912029, -0.594974518},
+ {645, -0.774419606, 0.130887344, -0.171990097, -0.594611049},
+ {646, -0.774326861, 0.130904391, -0.17196992, -0.594733894},
+ {647, -0.774695814, 0.130765751, -0.172060296, -0.594257534},
+ {648, -0.775452197, 0.130545989, -0.172268778, -0.593258142},
+ {649, -0.776549399, 0.130177975, -0.172474936, -0.591842234},
+ {650, -0.777390361, 0.129943609, -0.172742873, -0.590710521},
+ {651, -0.777890146, 0.129753619, -0.172797367, -0.590077877},
+ {652, -0.778163671, 0.129705578, -0.172932968, -0.589688063},
+ {653, -0.778492749, 0.129556328, -0.172973365, -0.589274526},
+ {654, -0.779145658, 0.129351526, -0.173165455, -0.58839947},
+ {655, -0.779678702, 0.129205361, -0.17330493, -0.587684095},
+ {656, -0.779925168, 0.129099533, -0.173308641, -0.587379158},
+ {657, -0.780364633, 0.128963366, -0.173457384, -0.586781025},
+ {658, -0.781063259, 0.128721982, -0.173641071, -0.585849524},
+ {659, -0.781981528, 0.128418058, -0.173841611, -0.584630549},
+ {660, -0.782660961, 0.128216133, -0.174010992, -0.583714604},
+ {661, -0.782950163, 0.128117457, -0.17405495, -0.583335161},
+ {662, -0.78334415, 0.127239913, -0.173023865, -0.58330512},
+ {663, -0.783779621, 0.126813263, -0.172692776, -0.582910895},
+ {664, -0.784543037, 0.126594141, -0.172913283, -0.581865251},
+ {665, -0.785354316, 0.12632525, -0.173107371, -0.580770612},
+ {666, -0.785679936, 0.126209363, -0.173151642, -0.580341935},
+ {667, -0.786059797, 0.126100466, -0.173283011, -0.579811871},
+ {668, -0.786412656, 0.125972241, -0.173374847, -0.579333425},
+ {669, -0.787123859, 0.125729486, -0.173515782, -0.578377426},
+ {670, -0.787646651, 0.125591978, -0.173659027, -0.577652216},
+ {671, -0.788147509, 0.125393689, -0.173756272, -0.576982498},
+ {672, -0.788362443, 0.125337765, -0.173842996, -0.5766747},
+ {673, -0.788888156, 0.125140548, -0.173943311, -0.575967908},
+ {674, -0.789379776, 0.125019372, -0.174093276, -0.575274944},
+ {675, -0.789373457, 0.124997303, -0.174038619, -0.575304985},
+ {676, -0.789305091, 0.125021234, -0.174078673, -0.575381398},
+ {677, -0.789949238, 0.124783769, -0.174249858, -0.574496448},
+ {678, -0.790697575, 0.124552965, -0.174395636, -0.573472023},
+ {679, -0.791358888, 0.124358088, -0.174558818, -0.572551608},
+ {680, -0.791622579, 0.124236986, -0.174635321, -0.572190046},
+ {681, -0.791557074, 0.124277018, -0.174634174, -0.572272301},
+ {682, -0.791936159, 0.124130987, -0.174684271, -0.571764112},
+ {683, -0.792423069, 0.12398199, -0.174821824, -0.571079314},
+ {684, -0.79325825, 0.123684153, -0.175018206, -0.569922984},
+ {685, -0.79379648, 0.123508178, -0.175137773, -0.569174588},
+ {686, -0.793643653, 0.123586275, -0.175090939, -0.569385171},
+ {687, -0.793877661, 0.123472065, -0.175184861, -0.569054663},
+ {688, -0.794488609, 0.123266838, -0.17534098, -0.568197787},
+ {689, -0.795400262, 0.122992814, -0.175535113, -0.5669204},
+ {690, -0.796023309, 0.122779354, -0.175667629, -0.566050351},
+ {691, -0.796211839, 0.122705683, -0.17572321, -0.565783918},
+ {692, -0.79630214, 0.122691371, -0.175748512, -0.565652072},
+ {693, -0.796708703, 0.12255428, -0.175853297, -0.565076351},
+ {694, -0.797549427, 0.122249134, -0.176055908, -0.563892186},
+ {695, -0.797908425, 0.122144781, -0.17612119, -0.56338644},
+ {696, -0.797749281, 0.12222445, -0.176081374, -0.563606739},
+ {697, -0.798118591, 0.122038171, -0.176186651, -0.563091218},
+ {698, -0.798758566, 0.121852778, -0.176379114, -0.562162876},
+ {699, -0.79968226, 0.121543869, -0.176530585, -0.560867488},
+ {700, -0.800090909, 0.121421412, -0.176654056, -0.560272038},
+ {701, -0.800156832, 0.121380433, -0.176694974, -0.560173869},
+ {702, -0.800261736, 0.121341363, -0.176712319, -0.560026884},
+ {703, -0.800781727, 0.121175073, -0.176841989, -0.55927825},
+ {704, -0.801664829, 0.120846607, -0.177060112, -0.558013678},
+ {705, -0.801946521, 0.120773189, -0.177115276, -0.557607293},
+ {706, -0.801717281, 0.120869115, -0.177042514, -0.557939053},
+ {707, -0.802099407, 0.12068405, -0.177168697, -0.557389557},
+ {708, -0.802747965, 0.120479003, -0.177354962, -0.556440294},
+ {709, -0.803623796, 0.120191261, -0.177480742, -0.555196822},
+ {710, -0.804055393, 0.120054938, -0.177617833, -0.554557264},
+ {711, -0.804141164, 0.119996592, -0.177669019, -0.554429114},
+ {712, -0.804304719, 0.119948812, -0.17769438, -0.554193974},
+ {713, -0.804800689, 0.119795285, -0.177827984, -0.553463817},
+ {714, -0.805689335, 0.119446948, -0.178045392, -0.552174807},
+ {715, -0.806005061, 0.119360812, -0.178107888, -0.551712334},
+ {716, -0.805785716, 0.119455092, -0.17803371, -0.552036166},
+ {717, -0.806152284, 0.119271219, -0.178156078, -0.551501036},
+ {718, -0.806742132, 0.119067229, -0.17833522, -0.550623953},
+ {719, -0.807502866, 0.118823238, -0.178448603, -0.549523771},
+ {720, -0.807932019, 0.118669882, -0.178577006, -0.548883915},
+ {721, -0.807953656, 0.118636295, -0.178617746, -0.548846066},
+ {722, -0.808174729, 0.11855612, -0.178653926, -0.548526108},
+ {723, -0.808564961, 0.118437737, -0.178747222, -0.547945917},
+ {724, -0.809436738, 0.11810001, -0.178958744, -0.546661079},
+ {725, -0.809931695, 0.11794509, -0.179085702, -0.545919359},
+ {726, -0.809771836, 0.118021913, -0.178994119, -0.546169937},
+ {727, -0.81005162, 0.117897786, -0.179108366, -0.54574424},
+ {728, -0.810591817, 0.117699988, -0.179271311, -0.544930577},
+ {729, -0.811253011, 0.117503151, -0.179366156, -0.543957174},
+ {730, -0.811842203, 0.117298819, -0.179518148, -0.543071449},
+ {731, -0.811896205, 0.117266051, -0.179550529, -0.542987049},
+ {732, -0.812122583, 0.117173135, -0.179600701, -0.542651713},
+ {733, -0.812415123, 0.117082916, -0.179653615, -0.542215645},
+ {734, -0.813110948, 0.116832204, -0.179838747, -0.541164279},
+ {735, -0.813840806, 0.116558596, -0.180017069, -0.540065765},
+ {736, -0.813895285, 0.116564222, -0.179967448, -0.539999127},
+ {737, -0.814047754, 0.116512023, -0.180039465, -0.539756477},
+ {738, -0.814484715, 0.116312683, -0.180155516, -0.539101243},
+ {739, -0.814896286, 0.11620032, -0.180244833, -0.538473189},
+ {740, -0.815551639, 0.115967445, -0.180371672, -0.537487864},
+ {741, -0.815768242, 0.115881793, -0.180434793, -0.537156403},
+ {742, -0.815805018, 0.115873948, -0.180462986, -0.537092745},
+ {743, -0.816144586, 0.115722798, -0.180509493, -0.536593556},
+ {744, -0.816351593, 0.115663201, -0.1805733, -0.536269963},
+ {745, -0.816265106, 0.115687065, -0.180556685, -0.536401927},
+ {746, -0.816227257, 0.115676664, -0.180534229, -0.53646946},
+ {747, -0.81668824, 0.115488961, -0.180707827, -0.535749376},
+ {748, -0.817488015, 0.115182109, -0.180851713, -0.53454572},
+ {749, -0.817764223, 0.115133531, -0.180888787, -0.534121037},
+ {750, -0.817987144, 0.115028955, -0.180959642, -0.533778071},
+ {751, -0.81833899, 0.114856742, -0.181068957, -0.53323853},
+ {752, -0.818541706, 0.114818193, -0.181092724, -0.532927513},
+ {753, -0.819108188, 0.114597648, -0.181218073, -0.532061338},
+ {754, -0.819557071, 0.114421614, -0.181360558, -0.531358898},
+ {755, -0.819446087, 0.114477918, -0.181301042, -0.531538308},
+ {756, -0.819247782, 0.114577003, -0.181244791, -0.531841576},
+ {757, -0.819528341, 0.114423268, -0.181366608, -0.53140074},
+ {758, -0.820236325, 0.114157073, -0.181513384, -0.530314565},
+ {759, -0.820640564, 0.114057757, -0.181565061, -0.529692471},
+ {760, -0.821083009, 0.11385043, -0.18169032, -0.52900809},
+ {761, -0.8213135, 0.113760859, -0.181790739, -0.528634846},
+ {762, -0.821712732, 0.113630891, -0.181848973, -0.528021991},
+ {763, -0.82235837, 0.113400094, -0.181990072, -0.527016819},
+ {764, -0.822760344, 0.113236919, -0.182136029, -0.526373804},
+ {765, -0.823177576, 0.113060549, -0.182211369, -0.525732756},
+ {766, -0.8231619, 0.113300823, -0.18255122, -0.525587797},
+ {767, -0.823317349, 0.113466837, -0.183099806, -0.525117278},
+ {768, -0.823786497, 0.11328721, -0.183225945, -0.524375856},
+ {769, -0.82428056, 0.113142028, -0.183334008, -0.523592472},
+ {770, -0.824903786, 0.112878725, -0.183488488, -0.522612751},
+ {771, -0.825143099, 0.112784863, -0.183576196, -0.522224426},
+ {772, -0.825589538, 0.112604924, -0.183654368, -0.521529496},
+ {773, -0.825949311, 0.112497188, -0.183737904, -0.520953536},
+ {774, -0.826372802, 0.112313256, -0.183856249, -0.520279467},
+ {775, -0.826820195, 0.112135924, -0.183956698, -0.519570708},
+ {776, -0.826826692, 0.11216782, -0.183925733, -0.519564569},
+ {777, -0.82704258, 0.112072885, -0.184021935, -0.519207358},
+ {778, -0.827500999, 0.111875638, -0.184142008, -0.518476248},
+ {779, -0.827662945, 0.111858748, -0.184139147, -0.518222451},
+ {780, -0.827714741, 0.11238268, -0.185242206, -0.517632902},
+ {781, -0.828240335, 0.112175651, -0.185492039, -0.516746938},
+ {782, -0.828465402, 0.112166427, -0.185504526, -0.516383529},
+ {783, -0.82869041, 0.112093307, -0.185567796, -0.516015351},
+ {784, -0.829270244, 0.111789033, -0.185743779, -0.515085816},
+ {785, -0.829549849, 0.111740179, -0.185815349, -0.514620125},
+ {786, -0.82938379, 0.111814581, -0.185716197, -0.51490742},
+ {787, -0.829367518, 0.111761056, -0.185769096, -0.514926136},
+ {788, -0.829960227, 0.111524194, -0.185967714, -0.513949871},
+ {789, -0.83048135, 0.111381263, -0.185990945, -0.51312995},
+ {790, -0.830159724, 0.112028681, -0.18690747, -0.513176441},
+ {791, -0.830223382, 0.11200811, -0.187216282, -0.512965381},
+ {792, -0.830673754, 0.111863762, -0.187278301, -0.512244463},
+ {793, -0.830884695, 0.111836128, -0.187214494, -0.511931717},
+ {794, -0.830980897, 0.111764885, -0.187352195, -0.511740565},
+ {795, -0.831534207, 0.111469589, -0.187524855, -0.510842264},
+ {796, -0.831944942, 0.111410737, -0.187550098, -0.510176778},
+ {797, -0.831896007, 0.111440532, -0.187478691, -0.510276198},
+ {798, -0.83221215, 0.111227788, -0.187697187, -0.509726524},
+ {799, -0.832818031, 0.11100553, -0.187844157, -0.508730352},
+ {800, -0.833052576, 0.110998973, -0.187741041, -0.508385658},
+ {801, -0.832930028, 0.111776389, -0.189355925, -0.507816792},
+ {802, -0.833285391, 0.111537829, -0.189494699, -0.507234216},
+ {803, -0.833383977, 0.111611053, -0.189433247, -0.507079005},
+ {804, -0.833610833, 0.111530058, -0.189476311, -0.506707847},
+ {805, -0.834137499, 0.11121624, -0.189680725, -0.505832791},
+ {806, -0.834345102, 0.111197248, -0.189740971, -0.505471885},
+ {807, -0.834301889, 0.111243993, -0.189630911, -0.505574167},
+ {808, -0.834766626, 0.110989667, -0.189814523, -0.504793406},
+ {809, -0.835304499, 0.110785477, -0.190015823, -0.503871858},
+ {810, -0.835373461, 0.11080794, -0.18990007, -0.503796458},
+ {811, -0.835017204, 0.111939982, -0.191920206, -0.503371119},
+ {812, -0.83557719, 0.111596145, -0.192042753, -0.502470553},
+ {813, -0.835967362, 0.111520134, -0.19206354, -0.501829982},
+ {814, -0.83586359, 0.11157234, -0.191997051, -0.502016783},
+ {815, -0.835694492, 0.111559562, -0.192033604, -0.50228709},
+ {816, -0.835727155, 0.111570664, -0.192084819, -0.502210617},
+ {817, -0.835769594, 0.111601166, -0.19196856, -0.502177775},
+ {818, -0.836141586, 0.111448303, -0.192136467, -0.501527846},
+ {819, -0.83670795, 0.111142993, -0.19233951, -0.500572324},
+ {820, -0.836800694, 0.111173034, -0.192268252, -0.500437915},
+ {821, -0.836619496, 0.111262091, -0.192232057, -0.500734866},
+ {822, -0.836893499, 0.111073315, -0.192386076, -0.500259578},
+ {823, -0.837412953, 0.110909365, -0.192488939, -0.49938637},
+ {824, -0.837527335, 0.110905752, -0.192422107, -0.499221116},
+ {825, -0.837311685, 0.110960566, -0.192455739, -0.499557585},
+ {826, -0.837291062, 0.110899724, -0.192507133, -0.499585837},
+ {827, -0.837358594, 0.110958606, -0.192430168, -0.499489188},
+ {828, -0.837572813, 0.110892773, -0.192495242, -0.49911955},
+ {829, -0.838220298, 0.110503472, -0.192721218, -0.498030394},
+ {830, -0.838611722, 0.110414669, -0.192804143, -0.49735859},
+ {831, -0.838719726, 0.110419631, -0.192771018, -0.497188151},
+ {832, -0.838833869, 0.110909954, -0.194135025, -0.496355146},
+ {833, -0.839031458, 0.110969201, -0.194522038, -0.495856047},
+ {834, -0.839267313, 0.11091347, -0.19449082, -0.49548158},
+ {835, -0.839764178, 0.110667452, -0.194613621, -0.494645834},
+ {836, -0.839927375, 0.110583134, -0.194739372, -0.494337946},
+ {837, -0.839886785, 0.110633783, -0.194681659, -0.494418263},
+ {838, -0.840307891, 0.110426791, -0.194755942, -0.49371925},
+ {839, -0.840693831, 0.110273555, -0.194917291, -0.493032336},
+ {840, -0.840509355, 0.110940464, -0.196076527, -0.492737502},
+ {841, -0.840909183, 0.110833608, -0.196311936, -0.491985083},
+ {842, -0.841323614, 0.110665053, -0.19644998, -0.491258889},
+ {843, -0.841397226, 0.110619292, -0.196422309, -0.491154194},
+ {844, -0.841816187, 0.110435881, -0.196557388, -0.490422904},
+ {845, -0.842314065, 0.110219277, -0.196696311, -0.489560336},
+ {846, -0.842349052, 0.110231601, -0.196660623, -0.489511788},
+ {847, -0.842265129, 0.110251188, -0.196683168, -0.489642501},
+ {848, -0.842699409, 0.110007159, -0.196814582, -0.488896966},
+ {849, -0.843167245, 0.109882578, -0.196925163, -0.488072962},
+ {850, -0.842801392, 0.110721074, -0.198290333, -0.487962782},
+ {851, -0.842544377, 0.110911317, -0.198546916, -0.488259017},
+ {852, -0.842820466, 0.110777751, -0.198661327, -0.487765998},
+ {853, -0.843432069, 0.110539474, -0.198708475, -0.486742616},
+ {854, -0.843599677, 0.110503078, -0.198766947, -0.486436427},
+ {855, -0.843347073, 0.110547408, -0.198759824, -0.48686713},
+ {856, -0.843290567, 0.110574327, -0.198738933, -0.486967295},
+ {857, -0.84340781, 0.110565335, -0.198727503, -0.486771017},
+ {858, -0.843367398, 0.110586584, -0.198727578, -0.486836106},
+ {859, -0.843677878, 0.110403337, -0.198879033, -0.48627755},
+ {860, -0.843930721, 0.111098006, -0.200661153, -0.484946698},
+ {861, -0.844142377, 0.111169048, -0.200860068, -0.484479576},
+ {862, -0.843933821, 0.111185119, -0.200840622, -0.484847099},
+ {863, -0.843806684, 0.11118079, -0.200843215, -0.485068142},
+ {864, -0.843889892, 0.111227259, -0.200832129, -0.484917462},
+ {865, -0.843903184, 0.11123161, -0.20079276, -0.484909654},
+ {866, -0.843846679, 0.111200392, -0.200834677, -0.48499772},
+ {867, -0.843870044, 0.111197077, -0.200863212, -0.484945953},
+ {868, -0.843893409, 0.111239411, -0.200791165, -0.484925449},
+ {869, -0.843877733, 0.111204848, -0.200812832, -0.484951675},
+ {870, -0.843913674, 0.111808375, -0.20235604, -0.48410812},
+ {871, -0.844627857, 0.111548983, -0.202487007, -0.482866108},
+ {872, -0.844874382, 0.111474082, -0.202511638, -0.482441604},
+ {873, -0.844592869, 0.111546658, -0.202512741, -0.48291713},
+ {874, -0.844439089, 0.111571483, -0.202502444, -0.483184487},
+ {875, -0.844553292, 0.111589924, -0.202470735, -0.482993901},
+ {876, -0.844560266, 0.111599639, -0.202459008, -0.482984364},
+ {877, -0.844487488, 0.111555494, -0.202519894, -0.483096331},
+ {878, -0.844519198, 0.111552656, -0.202511609, -0.483044982},
+ {879, -0.844552934, 0.111598372, -0.202454537, -0.482999355},
+ {880, -0.84488529, 0.111412138, -0.202605546, -0.482397377},
+ {881, -0.845166922, 0.111823775, -0.203983307, -0.481226772},
+ {882, -0.845307708, 0.111840695, -0.203944311, -0.480992019},
+ {883, -0.845106304, 0.111913569, -0.203907058, -0.48134467},
+ {884, -0.845034361, 0.111854531, -0.203953475, -0.481464952},
+ {885, -0.845091224, 0.111897893, -0.203945816, -0.481358349},
+ {886, -0.845106483, 0.111925453, -0.203878194, -0.481353879},
+ {887, -0.845075071, 0.111872412, -0.203923702, -0.481401831},
+ {888, -0.845049322, 0.111881308, -0.203973129, -0.481424153},
+ {889, -0.845104039, 0.111899562, -0.203887627, -0.481360048},
+ {890, -0.8451249, 0.112497047, -0.205314964, -0.480576932},
+ {891, -0.845567763, 0.11235024, -0.205725282, -0.479655892},
+ {892, -0.8456738, 0.112338454, -0.205668658, -0.479495853},
+ {893, -0.845508099, 0.11242108, -0.20560424, -0.47979632},
+ {894, -0.845491886, 0.112370282, -0.20567064, -0.479808271},
+ {895, -0.845519423, 0.113149829, -0.20745346, -0.478808075},
+ {896, -0.846148968, 0.112954818, -0.207699999, -0.477633655},
+ {897, -0.846302867, 0.112885289, -0.20775497, -0.477353424},
+ {898, -0.846041918, 0.112960458, -0.207746953, -0.477801412},
+ {899, -0.845703781, 0.113574483, -0.20869042, -0.477843285},
+ {900, -0.846076727, 0.113646515, -0.209254995, -0.476918191},
+ {901, -0.846815348, 0.113246813, -0.209440768, -0.475619167},
+ {902, -0.846973002, 0.113183059, -0.20946677, -0.475342065},
+ {903, -0.846657574, 0.113348164, -0.209400728, -0.475893468},
+ {904, -0.846519828, 0.113367416, -0.209371641, -0.476146668},
+ {905, -0.846622765, 0.113337457, -0.209406421, -0.475955367},
+ {906, -0.846630037, 0.113359086, -0.209384128, -0.475947112},
+ {907, -0.846599281, 0.113353468, -0.209382236, -0.476004034},
+ {908, -0.846291423, 0.11405842, -0.210724533, -0.47579062},
+ {909, -0.846271455, 0.114116721, -0.210705519, -0.475820512},
+ {910, -0.846293211, 0.114094578, -0.210698158, -0.475790381},
+ {911, -0.846268058, 0.114068784, -0.210721999, -0.475830674},
+ {912, -0.846275568, 0.11409229, -0.210711211, -0.475816548},
+ {913, -0.846298814, 0.114072569, -0.210700184, -0.475784868},
+ {914, -0.846263468, 0.114074036, -0.21071896, -0.475839019},
+ {915, -0.846276641, 0.114059277, -0.210736364, -0.475811541},
+ {916, -0.846278548, 0.114066452, -0.210713163, -0.475816607},
+ {917, -0.846277595, 0.114069551, -0.210719615, -0.4758147},
+ {918, -0.84626478, 0.114055976, -0.210744515, -0.47582981},
+ {919, -0.846386194, 0.11401476, -0.210766077, -0.475614071},
+ {920, -0.846591234, 0.114566766, -0.212361261, -0.474405468},
+ {921, -0.846905112, 0.114517026, -0.212693378, -0.473707974},
+ {922, -0.846746504, 0.114587799, -0.212613925, -0.474009931},
+ {923, -0.846579552, 0.114645697, -0.212581486, -0.47430858},
+ {924, -0.84664309, 0.114621729, -0.212621406, -0.474183053},
+ {925, -0.846247792, 0.115564018, -0.214216128, -0.473942041},
+ {926, -0.846176505, 0.115651064, -0.214377955, -0.473975062},
+ {927, -0.846197188, 0.115621179, -0.214391917, -0.473939002},
+ {928, -0.846187711, 0.115645856, -0.214353576, -0.473967344},
+ {929, -0.845949233, 0.116206907, -0.215355933, -0.473801255},
+ {930, -0.845826387, 0.116434909, -0.215793476, -0.473765641},
+ {931, -0.845825553, 0.11643333, -0.215777427, -0.473774672},
+ {932, -0.845853686, 0.11642313, -0.215752661, -0.473738402},
+ {933, -0.845822334, 0.11643862, -0.215785235, -0.473775774},
+ {934, -0.84583205, 0.116412029, -0.215783238, -0.47376582},
+ {935, -0.84583354, 0.116434574, -0.215762094, -0.473767221},
+ {936, -0.84583497, 0.116435945, -0.215782151, -0.473755121},
+ {937, -0.845824897, 0.116412736, -0.215791553, -0.473774672},
+ {938, -0.845528781, 0.117087625, -0.216943711, -0.47361061},
+ {939, -0.845543206, 0.117108598, -0.216967791, -0.473568738},
+ {940, -0.845518947, 0.117098011, -0.216976181, -0.47361058},
+ {941, -0.845524251, 0.117083251, -0.216976747, -0.47360459},
+ {942, -0.845538259, 0.117096454, -0.216969386, -0.473579705},
+ {943, -0.845528245, 0.117089882, -0.216968089, -0.473599881},
+ {944, -0.845531166, 0.117070049, -0.216972187, -0.473597676},
+ {945, -0.845528841, 0.11709211, -0.216969296, -0.473597676},
+ {946, -0.84553802, 0.117083438, -0.216966495, -0.473584831},
+ {947, -0.84552449, 0.117069185, -0.216975823, -0.473608226},
+ {948, -0.845528007, 0.117071852, -0.216979221, -0.473599583},
+ {949, -0.845402241, 0.117367744, -0.217483461, -0.473519593},
+ {950, -0.845145881, 0.117903136, -0.218443796, -0.473402202},
+ {951, -0.845153868, 0.117890254, -0.218445793, -0.473390222},
+ {952, -0.845158339, 0.117897339, -0.218420759, -0.47339198},
+ {953, -0.845135391, 0.117953733, -0.218525216, -0.473370731},
+ {954, -0.844665229, 0.118960127, -0.220306069, -0.473132551},
+ {955, -0.844675362, 0.118945159, -0.220263764, -0.473137975},
+ {956, -0.84468466, 0.118944786, -0.220262617, -0.473121971},
+ {957, -0.844672382, 0.118941419, -0.220280945, -0.473136246},
+ {958, -0.84427917, 0.119795464, -0.221788406, -0.472918212},
+ {959, -0.844282568, 0.119792163, -0.221755192, -0.472928613},
+ {960, -0.844286621, 0.119789205, -0.221769959, -0.472915053},
+ {961, -0.844266295, 0.119814001, -0.221823558, -0.472919971},
+ {962, -0.843916595, 0.120550111, -0.223063946, -0.472773761},
+ {963, -0.843617558, 0.120704614, -0.22296086, -0.473316342},
+ {964, -0.843271255, 0.120850645, -0.222879514, -0.473934144},
+ {965, -0.842935503, 0.121601306, -0.224221528, -0.473706096},
+ {966, -0.842960119, 0.12176384, -0.22456488, -0.473457932},
+ {967, -0.842906713, 0.121785119, -0.224540889, -0.473558903},
+ {968, -0.842902958, 0.121745057, -0.224578112, -0.473558277},
+ {969, -0.842921495, 0.121767111, -0.224567428, -0.47352466},
+ {970, -0.842913806, 0.121773645, -0.22454986, -0.473544896},
+ {971, -0.8429178, 0.121746883, -0.224572569, -0.473534048},
+ {972, -0.842896163, 0.121770404, -0.224586055, -0.473560065},
+ {973, -0.842927814, 0.121757463, -0.22455442, -0.473522186},
+ {974, -0.842794299, 0.121811219, -0.224518463, -0.47376284},
+ {975, -0.842208266, 0.122117884, -0.224381536, -0.474789947},
+ {976, -0.841792345, 0.122305281, -0.224236906, -0.475547016},
+ {977, -0.841879964, 0.122276634, -0.22427164, -0.475382835},
+ {978, -0.841652036, 0.122414798, -0.224189073, -0.475789666},
+ {979, -0.841140926, 0.122651912, -0.224021316, -0.476710498},
+ {980, -0.840931475, 0.122743659, -0.224019811, -0.477057159},
+ {981, -0.840619147, 0.12372034, -0.225873128, -0.476480961},
+ {982, -0.840738595, 0.123680577, -0.225817487, -0.476306885},
+ {983, -0.840677321, 0.123656318, -0.225830764, -0.476415038},
+ {984, -0.840664744, 0.123652473, -0.225845322, -0.47643128},
+ {985, -0.840709865, 0.123669766, -0.225835323, -0.476352006},
+ {986, -0.840680063, 0.123667367, -0.225815281, -0.47641471},
+ {987, -0.840633214, 0.12366955, -0.225849509, -0.476480573},
+ {988, -0.840171695, 0.123914197, -0.225685641, -0.477307945},
+ {989, -0.839628637, 0.124200098, -0.225495145, -0.47827819},
+ {990, -0.839234769, 0.124972694, -0.226927385, -0.478090852},
+ {991, -0.839211881, 0.124989428, -0.226896778, -0.478141129},
+ {992, -0.838823557, 0.125250325, -0.226764813, -0.478816509},
+ {993, -0.838543892, 0.125324205, -0.226736605, -0.479300112},
+ {994, -0.838619471, 0.125284776, -0.226779595, -0.479157865},
+ {995, -0.838441491, 0.125909522, -0.227846116, -0.478799313},
+ {996, -0.838370204, 0.125973016, -0.22793147, -0.478866726},
+ {997, -0.838315964, 0.125974938, -0.228004619, -0.478926539},
+ {998, -0.837808549, 0.126241937, -0.227799237, -0.479840934},
+ {999, -0.836910009, 0.127155602, -0.228500158, -0.480833411},
+ {1000, -0.836600304, 0.127496675, -0.229078457, -0.48100692},
+ {1001, -0.83636719, 0.127616689, -0.228982732, -0.481425911},
+ {1002, -0.836034238, 0.127855614, -0.228845224, -0.482005775},
+ {1003, -0.835884094, 0.127876222, -0.228856325, -0.482255459},
+ {1004, -0.835460782, 0.128083989, -0.228743553, -0.482986778},
+ {1005, -0.835079253, 0.128313303, -0.22859998, -0.483653218},
+ {1006, -0.835168183, 0.128256768, -0.228639513, -0.483495921},
+ {1007, -0.835209131, 0.128219157, -0.228667319, -0.483422041},
+ {1008, -0.834206045, 0.129545227, -0.230260447, -0.484043866},
+ {1009, -0.833763719, 0.129738122, -0.23010385, -0.484828234},
+ {1010, -0.833496332, 0.129849374, -0.230047733, -0.485284597},
+ {1011, -0.833103538, 0.130090624, -0.229915127, -0.485956788},
+ {1012, -0.832966149, 0.130139068, -0.229850203, -0.486209989},
+ {1013, -0.832220972, 0.131163508, -0.231221452, -0.486560524},
+ {1014, -0.831625938, 0.131465882, -0.231007963, -0.487596512},
+ {1015, -0.831438422, 0.131547183, -0.230960742, -0.487916738},
+ {1016, -0.83171016, 0.131415039, -0.231067926, -0.487438232},
+ {1017, -0.831645668, 0.131473511, -0.231013596, -0.487558216},
+ {1018, -0.830984831, 0.131791323, -0.230820537, -0.488689214},
+ {1019, -0.830155373, 0.132764757, -0.232069269, -0.489243776},
+ {1020, -0.829895258, 0.132900566, -0.231930122, -0.489714056},
+ {1021, -0.829763949, 0.133001566, -0.231842563, -0.489950538},
+ {1022, -0.82970643, 0.132997513, -0.231867731, -0.490037024},
+ {1023, -0.828934073, 0.133657351, -0.232271716, -0.49097243},
+ {1024, -0.828068972, 0.134578183, -0.233076796, -0.49179846},
+ {1025, -0.828119755, 0.134537384, -0.23312439, -0.491701692},
+ {1026, -0.828471184, 0.134361535, -0.233246624, -0.491099358},
+ {1027, -0.8282336, 0.134514034, -0.233100638, -0.491527408},
+ {1028, -0.827188015, 0.1353302, -0.233509094, -0.492868513},
+ {1029, -0.826162696, 0.136270672, -0.234425649, -0.493892848},
+ {1030, -0.825787067, 0.136509299, -0.234341532, -0.494494647},
+ {1031, -0.825977564, 0.136431783, -0.234342813, -0.494197309},
+ {1032, -0.825755, 0.136552498, -0.234307081, -0.494552702},
+ {1033, -0.825283587, 0.136745319, -0.234184131, -0.495343924},
+ {1034, -0.82455796, 0.137132168, -0.233930036, -0.496563911},
+ {1035, -0.823971212, 0.137449473, -0.233758807, -0.497529775},
+ {1036, -0.824038506, 0.137375936, -0.233830839, -0.497404844},
+ {1037, -0.823884606, 0.13748455, -0.233744457, -0.497670203},
+ {1038, -0.823435366, 0.137733698, -0.233591631, -0.498416126},
+ {1039, -0.822655737, 0.138078287, -0.233398303, -0.499697149},
+ {1040, -0.822089672, 0.138338789, -0.233243257, -0.500628233},
+ {1041, -0.821950972, 0.138447419, -0.233168945, -0.500860512},
+ {1042, -0.821852803, 0.138499886, -0.233114168, -0.501032591},
+ {1043, -0.821545839, 0.138624609, -0.233045578, -0.501533151},
+ {1044, -0.820746958, 0.139042616, -0.232816875, -0.502829969},
+ {1045, -0.820319176, 0.139242083, -0.232666835, -0.503541768},
+ {1046, -0.820497751, 0.139126644, -0.232737184, -0.503250062},
+ {1047, -0.820244372, 0.139293417, -0.23264645, -0.503658772},
+ {1048, -0.819693327, 0.139529079, -0.232440636, -0.504584789},
+ {1049, -0.818873584, 0.139915019, -0.232260585, -0.505890191},
+ {1050, -0.818104982, 0.140908048, -0.233437881, -0.506316125},
+ {1051, -0.81806165, 0.140983224, -0.233455554, -0.506357074},
+ {1052, -0.817954898, 0.141027719, -0.233429268, -0.506529212},
+ {1053, -0.817492843, 0.141240075, -0.23330237, -0.507273793},
+ {1054, -0.816650808, 0.141672239, -0.233054578, -0.508621693},
+ {1055, -0.816340446, 0.141792804, -0.232955262, -0.50913161},
+ {1056, -0.816612422, 0.141660765, -0.233054116, -0.508686781},
+ {1057, -0.816348672, 0.141832441, -0.232953548, -0.509108186},
+ {1058, -0.815673172, 0.142127842, -0.232728109, -0.510210395},
+ {1059, -0.814699948, 0.1425955, -0.232513726, -0.511730373},
+ {1060, -0.814295232, 0.142757773, -0.232365236, -0.512396336},
+ {1061, -0.813866556, 0.143602297, -0.233490169, -0.512329996},
+ {1062, -0.813831687, 0.14356415, -0.233428687, -0.512423992},
+ {1063, -0.813212037, 0.143888995, -0.23328279, -0.513382316},
+ {1064, -0.812437057, 0.144246936, -0.233025938, -0.51462394},
+ {1065, -0.811566472, 0.14467375, -0.232776955, -0.515988708},
+ {1066, -0.811137438, 0.144854724, -0.23261337, -0.516685784},
+ {1067, -0.81093502, 0.144984633, -0.232589275, -0.516977966},
+ {1068, -0.810759723, 0.14504762, -0.232449993, -0.517297685},
+ {1069, -0.810249865, 0.145315781, -0.232325032, -0.518076897},
+ {1070, -0.809457779, 0.145652235, -0.232063815, -0.519336045},
+ {1071, -0.808313131, 0.146923259, -0.233237401, -0.520234406},
+ {1072, -0.807680547, 0.147224784, -0.233034879, -0.521221459},
+ {1073, -0.807500601, 0.147294581, -0.232960671, -0.521513641},
+ {1074, -0.80783236, 0.147155464, -0.233112007, -0.520971179},
+ {1075, -0.808059216, 0.14703317, -0.233095631, -0.520661116},
+ {1076, -0.807659864, 0.147258118, -0.232979566, -0.521268785},
+ {1077, -0.806773961, 0.147634298, -0.232738972, -0.52263999},
+ {1078, -0.806243658, 0.14785637, -0.232565537, -0.523472071},
+ {1079, -0.805972457, 0.148032695, -0.23249267, -0.523871958},
+ {1080, -0.806005478, 0.147991687, -0.232449412, -0.523851931},
+ {1081, -0.805022299, 0.149424866, -0.234159634, -0.524195194},
+ {1082, -0.804380774, 0.149663866, -0.233887568, -0.525232315},
+ {1083, -0.803492844, 0.150132671, -0.233616725, -0.5265764},
+ {1084, -0.803036153, 0.15030764, -0.233464718, -0.527290046},
+ {1085, -0.803392887, 0.150137678, -0.233611062, -0.526729941},
+ {1086, -0.803788245, 0.149985269, -0.233692631, -0.526133776},
+ {1087, -0.803249061, 0.150270149, -0.233485997, -0.52696687},
+ {1088, -0.802069545, 0.150774121, -0.233136207, -0.52877146},
+ {1089, -0.801043332, 0.151225209, -0.232898727, -0.530300617},
+ {1090, -0.800538123, 0.151495799, -0.23267144, -0.531085551},
+ {1091, -0.800349295, 0.151582792, -0.232564241, -0.531392157},
+ {1092, -0.799895465, 0.15178737, -0.232509404, -0.532040596},
+ {1093, -0.799012065, 0.152171627, -0.232186869, -0.533397377},
+ {1094, -0.798129499, 0.15260461, -0.231903076, -0.534716904},
+ {1095, -0.797648132, 0.15282844, -0.231788665, -0.535420239},
+ {1096, -0.79744786, 0.152879015, -0.231688365, -0.535747528},
+ {1097, -0.796883106, 0.153208584, -0.231531084, -0.536561072},
+ {1098, -0.795755684, 0.153717533, -0.231162325, -0.538245142},
+ {1099, -0.794553399, 0.154217601, -0.230831534, -0.540017307},
+ {1100, -0.793952584, 0.154475138, -0.230646744, -0.540905595},
+ {1101, -0.793852925, 0.154560879, -0.230557069, -0.541065633},
+ {1102, -0.793477893, 0.154758066, -0.230465695, -0.541597962},
+ {1103, -0.792414427, 0.15518795, -0.23012507, -0.543174565},
+ {1104, -0.791071057, 0.155803293, -0.229703233, -0.545131385},
+ {1105, -0.790368497, 0.156107768, -0.229503348, -0.54614681},
+ {1106, -0.790378094, 0.156086728, -0.229499415, -0.546140492},
+ {1107, -0.790324152, 0.156139359, -0.229470268, -0.546215832},
+ {1108, -0.789603293, 0.156488463, -0.229243279, -0.547252715},
+ {1109, -0.788275123, 0.157043442, -0.228818893, -0.549182773},
+ {1110, -0.787127018, 0.157526433, -0.228506103, -0.55081898},
+ {1111, -0.786753416, 0.157703102, -0.228381187, -0.551353693},
+ {1112, -0.786837339, 0.157661676, -0.228354365, -0.551256835},
+ {1113, -0.78661418, 0.157782629, -0.228317201, -0.55155611},
+ {1114, -0.785699427, 0.158186525, -0.228030369, -0.552861273},
+ {1115, -0.784998119, 0.158468872, -0.227808982, -0.553866982},
+ {1116, -0.784573138, 0.158651203, -0.227691069, -0.554465115},
+ {1117, -0.784288049, 0.158792987, -0.227581605, -0.554872632},
+ {1118, -0.783759177, 0.159034669, -0.227435187, -0.555610359},
+ {1119, -0.783161759, 0.15925473, -0.22723642, -0.556470394},
+ {1120, -0.782473683, 0.159590513, -0.22706382, -0.55741173},
+ {1121, -0.782003641, 0.159756497, -0.226844341, -0.5581128},
+ {1122, -0.781471729, 0.160022706, -0.226749614, -0.558819652},
+ {1123, -0.780867636, 0.160238087, -0.226500571, -0.559702694},
+ {1124, -0.780166626, 0.160575315, -0.226317808, -0.560656667},
+ {1125, -0.780084789, 0.160573661, -0.226297185, -0.560779333},
+ {1126, -0.780172765, 0.160541385, -0.226292521, -0.560668051},
+ {1127, -0.779753327, 0.160783321, -0.226194635, -0.561221421},
+ {1128, -0.778813004, 0.1611408, -0.22583425, -0.562568128},
+ {1129, -0.777876437, 0.161559135, -0.225624904, -0.563826561},
+ {1130, -0.777162731, 0.161845773, -0.225375265, -0.564827561},
+ {1131, -0.776773274, 0.162019357, -0.22519663, -0.565384448},
+ {1132, -0.776319981, 0.162239954, -0.22513701, -0.565967262},
+ {1133, -0.775644422, 0.162463099, -0.224847242, -0.566943705},
+ {1134, -0.774938881, 0.162826762, -0.224690527, -0.56786567},
+ {1135, -0.774285913, 0.163065374, -0.224457011, -0.568779469},
+ {1136, -0.773649216, 0.163330242, -0.224234819, -0.569656849},
+ {1137, -0.772911727, 0.163660541, -0.22405161, -0.570634365},
+ {1138, -0.771990597, 0.164019719, -0.223716512, -0.571908295},
+ {1139, -0.771149457, 0.16439192, -0.223487213, -0.57302475},
+ {1140, -0.770677984, 0.164557055, -0.223343328, -0.573667288},
+ {1141, -0.770353734, 0.164714485, -0.223238379, -0.574098468},
+ {1142, -0.769785762, 0.164943576, -0.223024532, -0.574876964},
+ {1143, -0.76911664, 0.165216014, -0.222842395, -0.575764358},
+ {1144, -0.769270837, 0.164584175, -0.221951202, -0.576083541},
+ {1145, -0.769606531, 0.16447404, -0.222060889, -0.575624108},
+ {1146, -0.769367039, 0.164619386, -0.221958265, -0.575942218},
+ {1147, -0.7683357, 0.16499947, -0.221649274, -0.577327549},
+ {1148, -0.766920507, 0.165564194, -0.221272543, -0.579189003},
+ {1149, -0.766094089, 0.165872261, -0.220968753, -0.58030951},
+ {1150, -0.766026855, 0.165946946, -0.220988989, -0.580369234},
+ {1151, -0.765985012, 0.165945202, -0.220915988, -0.58045274},
+ {1152, -0.765382588, 0.166194767, -0.220746726, -0.58123976},
+ {1153, -0.764096916, 0.166751742, -0.220409259, -0.582897544},
+ {1154, -0.76286751, 0.167158976, -0.219948873, -0.584562778},
+ {1155, -0.762481332, 0.167348608, -0.219929293, -0.58501941},
+ {1156, -0.762721598, 0.167235821, -0.219973043, -0.584722102},
+ {1157, -0.762477398, 0.16738008, -0.219898373, -0.585027277},
+ {1158, -0.76137048, 0.167828217, -0.219523996, -0.586479306},
+ {1159, -0.759700954, 0.168458536, -0.219028443, -0.588644922},
+ {1160, -0.758737743, 0.168037266, -0.217470795, -0.590581954},
+ {1161, -0.758386016, 0.168077424, -0.217204869, -0.591119885},
+ {1162, -0.758399487, 0.168128833, -0.217246205, -0.591072738},
+ {1163, -0.757982552, 0.168269828, -0.217073813, -0.591630638},
+ {1164, -0.756776273, 0.168726146, -0.216681913, -0.593186378},
+ {1165, -0.75559485, 0.168498546, -0.215241939, -0.595277786},
+ {1166, -0.754741371, 0.168773755, -0.214935601, -0.596392035},
+ {1167, -0.754791319, 0.168778792, -0.214948252, -0.596322954},
+ {1168, -0.754844129, 0.168796822, -0.214950532, -0.596250236},
+ {1169, -0.754560769, 0.168131366, -0.21363236, -0.597269773},
+ {1170, -0.753401339, 0.168572918, -0.213343441, -0.598710477},
+ {1171, -0.752055883, 0.169055626, -0.212904513, -0.600419819},
+ {1172, -0.7512784, 0.169355974, -0.212664127, -0.601392806},
+ {1173, -0.751169205, 0.169408724, -0.212675169, -0.601510465},
+ {1174, -0.751106143, 0.169408739, -0.212584674, -0.601621151},
+ {1175, -0.750807583, 0.169566423, -0.212531537, -0.60196811},
+ {1176, -0.75010848, 0.169778526, -0.212275669, -0.602869511},
+ {1177, -0.749157667, 0.170157537, -0.212025434, -0.604031861},
+ {1178, -0.748910666, 0.169211254, -0.210381001, -0.605177879},
+ {1179, -0.748427987, 0.16937767, -0.210197672, -0.605791867},
+ {1180, -0.748312652, 0.16943568, -0.210180417, -0.60592401},
+ {1181, -0.747942805, 0.1695849, -0.210052639, -0.606383085},
+ {1182, -0.74787122, 0.168723315, -0.208696678, -0.607179344},
+ {1183, -0.747263551, 0.168711498, -0.208160564, -0.608114123},
+ {1184, -0.74686116, 0.168858588, -0.208040446, -0.608608663},
+ {1185, -0.747088611, 0.168781236, -0.208126962, -0.60832119},
+ {1186, -0.747371554, 0.168672726, -0.208180502, -0.607985437},
+ {1187, -0.746764958, 0.168942109, -0.208002269, -0.608716428},
+ {1188, -0.745858967, 0.168301761, -0.206368059, -0.610558093},
+ {1189, -0.744404316, 0.168832526, -0.206007004, -0.612306237},
+ {1190, -0.743643105, 0.169091448, -0.205728829, -0.61325258},
+ {1191, -0.743685901, 0.169103086, -0.205758825, -0.613187432},
+ {1192, -0.74372685, 0.169015288, -0.205636457, -0.613202929},
+ {1193, -0.743525624, 0.168292522, -0.204424262, -0.614050567},
+ {1194, -0.742351234, 0.168744549, -0.20411025, -0.615450263},
+ {1195, -0.741531909, 0.168963626, -0.203819916, -0.616473258},
+ {1196, -0.741318047, 0.169083148, -0.203811765, -0.616700232},
+ {1197, -0.741090775, 0.169179589, -0.203676969, -0.61699146},
+ {1198, -0.740496039, 0.168978751, -0.202903092, -0.618014753},
+ {1199, -0.739715278, 0.168552324, -0.201729372, -0.619448721},
+ {1200, -0.738831878, 0.168876156, -0.201486737, -0.620492816},
+ {1201, -0.738183081, 0.169123977, -0.201240823, -0.621276975},
+ {1202, -0.73793155, 0.168374971, -0.200014457, -0.622174501},
+ {1203, -0.737324595, 0.168251723, -0.199418724, -0.623117983},
+ {1204, -0.73641479, 0.168543383, -0.199082658, -0.624221563},
+ {1205, -0.735930502, 0.168753535, -0.199011758, -0.624758244},
+ {1206, -0.73609823, 0.167852938, -0.197885945, -0.625160754},
+ {1207, -0.73595345, 0.167868942, -0.197791785, -0.625356734},
+ {1208, -0.735283315, 0.168129086, -0.197567955, -0.626145303},
+ {1209, -0.734329164, 0.168422639, -0.197276458, -0.627277136},
+ {1210, -0.733266115, 0.168792456, -0.197025403, -0.628499031},
+ {1211, -0.732941866, 0.168128565, -0.195871606, -0.629415095},
+ {1212, -0.732696414, 0.168158591, -0.19570528, -0.62974447},
+ {1213, -0.732620299, 0.168159485, -0.195633575, -0.629855156},
+ {1214, -0.732148409, 0.168344989, -0.195537299, -0.630383909},
+ {1215, -0.731611848, 0.168502599, -0.195346162, -0.631023705},
+ {1216, -0.731269836, 0.168613091, -0.195266813, -0.631415129},
+ {1217, -0.730663478, 0.168857485, -0.195094794, -0.632104456},
+ {1218, -0.730139792, 0.16899924, -0.194900617, -0.632731378},
+ {1219, -0.729705572, 0.16801323, -0.193281174, -0.633990407},
+ {1220, -0.729134977, 0.168213293, -0.193118259, -0.634643078},
+ {1221, -0.728619874, 0.168413371, -0.192987725, -0.635221124},
+ {1222, -0.728371143, 0.168472275, -0.192898512, -0.635517716},
+ {1223, -0.728141963, 0.168143809, -0.192293808, -0.636050403},
+ {1224, -0.727906168, 0.16739282, -0.191100374, -0.636877537},
+ {1225, -0.72775954, 0.167421356, -0.19107075, -0.637046456},
+ {1226, -0.727887809, 0.167375475, -0.191112205, -0.636899471},
+ {1227, -0.727376223, 0.167570576, -0.190936714, -0.637485027},
+ {1228, -0.726698875, 0.167380333, -0.190206185, -0.638525069},
+ {1229, -0.725858152, 0.167047456, -0.189224854, -0.639858723},
+ {1230, -0.725136936, 0.167279989, -0.188988402, -0.640685022},
+ {1231, -0.725008547, 0.167175114, -0.18873927, -0.64093107},
+ {1232, -0.725157738, 0.166311666, -0.187741175, -0.641279995},
+ {1233, -0.725004137, 0.16636917, -0.187699288, -0.641450942},
+ {1234, -0.724323452, 0.166601434, -0.187500954, -0.642217159},
+ {1235, -0.724129021, 0.165482894, -0.185931474, -0.643181264},
+ {1236, -0.724138081, 0.165428177, -0.185916096, -0.643189549},
+ {1237, -0.723873019, 0.165570483, -0.185809255, -0.643482149},
+ {1238, -0.723287404, 0.165765271, -0.185636163, -0.644140124},
+ {1239, -0.722636521, 0.164690375, -0.183880299, -0.645648181},
+ {1240, -0.72167176, 0.164978921, -0.183587164, -0.646736085},
+ {1241, -0.721185267, 0.16515483, -0.183447614, -0.647273302},
+ {1242, -0.72108233, 0.165151447, -0.183408916, -0.647399783},
+ {1243, -0.721070766, 0.165165439, -0.183426708, -0.647404075},
+ {1244, -0.720564067, 0.165344656, -0.183282554, -0.647963047},
+ {1245, -0.720073044, 0.165456474, -0.183141753, -0.648519933},
+ {1246, -0.719934165, 0.165477663, -0.183144197, -0.648667991},
+ {1247, -0.719453514, 0.165678442, -0.182987049, -0.649194121},
+ {1248, -0.719147265, 0.164877817, -0.181739986, -0.650086999},
+ {1249, -0.718604922, 0.165002257, -0.181646988, -0.650680959},
+ {1250, -0.7178303, 0.165261894, -0.181428745, -0.651530385},
+ {1251, -0.717494488, 0.165352762, -0.181296706, -0.651913881},
+ {1252, -0.717493236, 0.164442405, -0.1801873, -0.652452946},
+ {1253, -0.717154264, 0.164577812, -0.18014729, -0.652802348},
+ {1254, -0.717106104, 0.164593309, -0.180109233, -0.652861834},
+ {1255, -0.717249215, 0.164545879, -0.180141047, -0.652707756},
+ {1256, -0.717286527, 0.164542615, -0.18018207, -0.652656317},
+ {1257, -0.716858923, 0.164655015, -0.180004358, -0.653146625},
+ {1258, -0.716383517, 0.163680047, -0.178478509, -0.654330909},
+ {1259, -0.715986371, 0.163736656, -0.178353727, -0.654785395},
+ {1260, -0.715629995, 0.163845733, -0.178210557, -0.655186534},
+ {1261, -0.715593278, 0.162622437, -0.176621214, -0.655961275},
+ {1262, -0.715393603, 0.162638381, -0.176594734, -0.65618217},
+ {1263, -0.714731932, 0.162850037, -0.176408604, -0.656900406},
+ {1264, -0.714321256, 0.161902308, -0.174943611, -0.657972336},
+ {1265, -0.714188397, 0.161939919, -0.174965531, -0.658101499},
+ {1266, -0.714570105, 0.161825106, -0.175077945, -0.657685339},
+ {1267, -0.714873552, 0.160805613, -0.173891023, -0.65792048},
+ {1268, -0.714101136, 0.161065742, -0.173739582, -0.658735096},
+ {1269, -0.713338196, 0.161192775, -0.17359747, -0.659567595},
+ {1270, -0.713028312, 0.160079837, -0.171999097, -0.660591781},
+ {1271, -0.712698698, 0.160239741, -0.171895936, -0.660935342},
+ {1272, -0.712765694, 0.160175443, -0.171944633, -0.660866141},
+ {1273, -0.712320268, 0.160313934, -0.171869293, -0.66133225},
+ {1274, -0.711698055, 0.160501182, -0.171640068, -0.662015855},
+ {1275, -0.711454034, 0.160539716, -0.171614379, -0.662275434},
+ {1276, -0.711669445, 0.160457417, -0.171696857, -0.662042499},
+ {1277, -0.711830676, 0.159215659, -0.170145169, -0.662569404},
+ {1278, -0.710960329, 0.159427881, -0.169891879, -0.663517058},
+ {1279, -0.710255861, 0.159531772, -0.169760421, -0.664279878},
+ {1280, -0.710068285, 0.158703268, -0.16861923, -0.664969087},
+ {1281, -0.709826589, 0.158765271, -0.168414846, -0.66526407},
+ {1282, -0.709915459, 0.158685088, -0.1684746, -0.665173292},
+ {1283, -0.709738553, 0.158436731, -0.168120936, -0.665510595},
+ {1284, -0.709234238, 0.157983467, -0.16715467, -0.666398764},
+ {1285, -0.708819985, 0.158083498, -0.167080089, -0.666834474},
+ {1286, -0.708979428, 0.157992497, -0.16717352, -0.66666311},
+ {1287, -0.709361136, 0.15704602, -0.166131154, -0.666741133},
+ {1288, -0.708805919, 0.156925812, -0.1655664, -0.667499959},
+ {1289, -0.708020329, 0.157029346, -0.165418878, -0.668345511},
+ {1290, -0.708114386, 0.155790076, -0.164084494, -0.668864548},
+ {1291, -0.708187819, 0.155663818, -0.163769647, -0.668893456},
+ {1292, -0.707672954, 0.155833468, -0.16367121, -0.669422626},
+ {1293, -0.707378149, 0.154753447, -0.162421301, -0.670288682},
+ {1294, -0.707254052, 0.15478079, -0.162387446, -0.670421422},
+ {1295, -0.70757848, 0.154774189, -0.162387982, -0.670080483},
+ {1296, -0.707782924, 0.154682934, -0.16244112, -0.669872761},
+ {1297, -0.707904994, 0.15360038, -0.161343172, -0.670258105},
+ {1298, -0.707449079, 0.153736204, -0.161142007, -0.670756519},
+ {1299, -0.706581533, 0.154003933, -0.160926312, -0.671660721},
+ {1300, -0.706268311, 0.153458357, -0.16024591, -0.672277391},
+ {1301, -0.706719041, 0.152595162, -0.159510657, -0.67217505},
+ {1302, -0.707180679, 0.152549818, -0.159540042, -0.671692789},
+ {1303, -0.70726651, 0.152515516, -0.159560233, -0.671605349},
+ {1304, -0.707369447, 0.150992841, -0.158001944, -0.672209084},
+ {1305, -0.707187772, 0.151132718, -0.157989964, -0.672371566},
+ {1306, -0.707287371, 0.151146635, -0.157975271, -0.672267139},
+ {1307, -0.707385123, 0.151082411, -0.15804258, -0.67216301},
+ {1308, -0.707383811, 0.15082635, -0.15779002, -0.672281146},
+ {1309, -0.707509995, 0.150141001, -0.156968236, -0.672494054},
+ {1310, -0.707142115, 0.150231421, -0.156830102, -0.672893047},
+ {1311, -0.706410408, 0.150375783, -0.156697795, -0.673659623},
+ {1312, -0.706051648, 0.1504554, -0.156624496, -0.674034953},
+ {1313, -0.70631367, 0.150411591, -0.156647131, -0.673764825},
+ {1314, -0.706666768, 0.150342301, -0.156742647, -0.673387825},
+ {1315, -0.706259549, 0.150426283, -0.156618327, -0.673825026},
+ {1316, -0.705197632, 0.150710881, -0.156386927, -0.6749264},
+ {1317, -0.704508841, 0.15085566, -0.156215936, -0.675652683},
+ {1318, -0.704798579, 0.150362223, -0.155831352, -0.675549269},
+ {1319, -0.705506444, 0.149708286, -0.155418351, -0.675050557},
+ {1320, -0.705781519, 0.149625599, -0.155428246, -0.674779058},
+ {1321, -0.70552659, 0.149683997, -0.155412897, -0.675036192},
+ {1322, -0.705440104, 0.148841083, -0.154417843, -0.675541103},
+ {1323, -0.705557227, 0.148446098, -0.154003248, -0.67560029},
+ {1324, -0.705749512, 0.148397595, -0.154028863, -0.675404251},
+ {1325, -0.705770731, 0.148367211, -0.154037893, -0.675386667},
+ {1326, -0.705685496, 0.148382813, -0.154013723, -0.675477862},
+ {1327, -0.705677629, 0.14838618, -0.153988272, -0.675491154},
+ {1328, -0.706028759, 0.147019804, -0.152613163, -0.675735056},
+ {1329, -0.706017315, 0.146968722, -0.152542129, -0.675774217},
+ {1330, -0.705493093, 0.147089109, -0.152368665, -0.676334262},
+ {1331, -0.704791844, 0.146181703, -0.150976405, -0.677573204},
+ {1332, -0.704331875, 0.146236733, -0.150858134, -0.678065896},
+ {1333, -0.704654038, 0.146111891, -0.150867745, -0.677755892},
+ {1334, -0.70538336, 0.145027772, -0.149920836, -0.677440107},
+ {1335, -0.705498278, 0.144972384, -0.149909586, -0.677334726},
+ {1336, -0.705223382, 0.145035684, -0.149906978, -0.677607954},
+ {1337, -0.705316961, 0.143761829, -0.148488328, -0.678094268},
+ {1338, -0.705407083, 0.143738106, -0.148482978, -0.678006649},
+ {1339, -0.705513358, 0.143714324, -0.148538053, -0.677889049},
+ {1340, -0.705393195, 0.142309427, -0.146864116, -0.678674817},
+ {1341, -0.704542577, 0.142592624, -0.146758854, -0.679521084},
+ {1342, -0.704177797, 0.142642736, -0.146688014, -0.679903924},
+ {1343, -0.704715431, 0.141514942, -0.145690173, -0.679797113},
+ {1344, -0.705122173, 0.141443387, -0.145732969, -0.679380953},
+ {1345, -0.705127418, 0.141428024, -0.145720586, -0.679381311},
+ {1346, -0.704898655, 0.141464099, -0.145722821, -0.67961067},
+ {1347, -0.705032587, 0.140441582, -0.144628614, -0.679917514},
+ {1348, -0.705128491, 0.14047347, -0.144669592, -0.679802716},
+ {1349, -0.705177665, 0.140456721, -0.144690111, -0.67975086},
+ {1350, -0.705097854, 0.140437976, -0.144669011, -0.679841936},
+ {1351, -0.705323577, 0.139378175, -0.143562123, -0.680060565},
+ {1352, -0.705441236, 0.13910985, -0.143307924, -0.680047095},
+ {1353, -0.705423355, 0.139091089, -0.143313915, -0.680068254},
+ {1354, -0.705381572, 0.139111906, -0.143315315, -0.680106997},
+ {1355, -0.705417335, 0.139111564, -0.143301144, -0.680072904},
+ {1356, -0.705428123, 0.139114454, -0.143314183, -0.68005842},
+ {1357, -0.705384076, 0.139116958, -0.143319368, -0.680102468},
+ {1358, -0.705704808, 0.137637883, -0.14180176, -0.680388808},
+ {1359, -0.705727458, 0.137668446, -0.141830012, -0.680353224},
+ {1360, -0.705699801, 0.137681916, -0.141831905, -0.680378795},
+ {1361, -0.705698371, 0.137675673, -0.141836241, -0.680380642},
+ {1362, -0.705710113, 0.137673512, -0.141826063, -0.680371046},
+ {1363, -0.705720484, 0.137616485, -0.141762078, -0.680385053},
+ {1364, -0.705801487, 0.136525765, -0.140586331, -0.680764616},
+ {1365, -0.705117702, 0.136718988, -0.140435651, -0.681465209},
+ {1366, -0.704525948, 0.136849642, -0.140305042, -0.682077587},
+ {1367, -0.704570711, 0.136810929, -0.140343189, -0.682031393},
+ {1368, 0.637025476, -0.198838428, 0.163161352, 0.726663768},
+ {1369, 0.636742592, -0.200397506, 0.164541289, 0.726172149},
+ {1370, 0.636473417, -0.202075839, 0.166066244, 0.725595593},
+ {1371, 0.636056185, -0.203865796, 0.167569652, 0.725115001},
+ {1372, 0.635668695, -0.205303103, 0.1687942, 0.724765062},
+ {1373, 0.635274589, -0.207063138, 0.170345083, 0.724246919},
+ {1374, 0.634809852, -0.209107101, 0.172102749, 0.72365135},
+ {1375, 0.634498596, -0.210365355, 0.173189804, 0.723300219},
+ {1376, 0.634176254, -0.211701781, 0.174365327, 0.722910464},
+ {1377, 0.633692861, -0.21370396, 0.176095292, 0.722325683},
+ {1378, 0.633234978, -0.215572178, 0.177697405, 0.721779644},
+ {1379, 0.632970929, -0.216677934, 0.178664997, 0.72144115},
+ {1380, 0.632619202, -0.218050465, 0.179852173, 0.721041083},
+ {1381, 0.632186711, -0.219798833, 0.1813429, 0.720515907},
+ {1382, 0.631784499, -0.221460685, 0.18278569, 0.719995141},
+ {1383, 0.63141185, -0.222870752, 0.184022486, 0.71957171},
+ {1384, 0.630938113, -0.224692926, 0.185591981, 0.719017267},
+ {1385, 0.63065654, -0.22586666, 0.186603665, 0.718634665},
+ {1386, 0.630294144, -0.22723794, 0.187795073, 0.718209803},
+ {1387, 0.629688025, -0.229185954, 0.189409658, 0.717698336},
+ {1388, 0.628464878, -0.231343985, 0.190825909, 0.717702806},
+ {1389, 0.627322793, -0.23267518, 0.191497341, 0.718092799},
+ {1390, 0.626678944, -0.23403056, 0.19255513, 0.717931628},
+ {1391, 0.626587451, -0.235631526, 0.194076732, 0.717077494},
+ {1392, 0.62659657, -0.237216443, 0.195700631, 0.716104984},
+ {1393, 0.62626636, -0.238765627, 0.197132394, 0.71548605},
+ {1394, 0.625470161, -0.240758091, 0.198716357, 0.715076506},
+ {1395, 0.62491411, -0.242056966, 0.199672654, 0.714857757},
+ {1396, 0.624658167, -0.243129075, 0.200628042, 0.714450061},
+ {1397, 0.624360025, -0.244636878, 0.202047259, 0.713795722},
+ {1398, 0.623811841, -0.246665522, 0.203764111, 0.713088512},
+ {1399, 0.623344302, -0.248085231, 0.204950601, 0.712664723},
+ {1400, 0.622885048, -0.249652237, 0.206329763, 0.712120831},
+ {1401, 0.622463822, -0.251208901, 0.207675248, 0.711550295},
+ {1402, 0.622126818, -0.252363056, 0.208655402, 0.711149812},
+ {1403, 0.621804059, -0.253399819, 0.209561005, 0.710797131},
+ {1404, 0.621400774, -0.254766226, 0.210753649, 0.710308552},
+ {1405, 0.620871186, -0.256584674, 0.212293744, 0.709658086},
+ {1406, 0.620413244, -0.258108407, 0.213610187, 0.709110856},
+ {1407, 0.619971752, -0.259552509, 0.214873299, 0.708588004},
+ {1408, 0.619415879, -0.261382163, 0.216419443, 0.707930744},
+ {1409, 0.618996501, -0.262825131, 0.217655286, 0.707384288},
+ {1410, 0.618665993, -0.263863206, 0.218565077, 0.707006335},
+ {1411, 0.618259728, -0.265118659, 0.219632432, 0.706561089},
+ {1412, 0.617805123, -0.266648531, 0.220955014, 0.705970466},
+ {1413, 0.617413342, -0.267906994, 0.222045422, 0.705494463},
+ {1414, 0.617057979, -0.268955678, 0.22294803, 0.705121577},
+ {1415, 0.616652727, -0.270278156, 0.224072888, 0.704613745},
+ {1416, 0.616186738, -0.271792084, 0.225381494, 0.704021394},
+ {1417, 0.615773976, -0.273021311, 0.226448551, 0.703564346},
+ {1418, 0.615465522, -0.273951679, 0.22724624, 0.70321542},
+ {1419, 0.615122199, -0.27506882, 0.228212044, 0.702766776},
+ {1420, 0.614897192, -0.27541095, 0.228404224, 0.702767253},
+ {1421, 0.613726795, -0.277227491, 0.22949405, 0.702721059},
+ {1422, 0.61267066, -0.278704762, 0.230320305, 0.702787936},
+ {1423, 0.612220168, -0.27981773, 0.231238008, 0.702436805},
+ {1424, 0.612163782, -0.281014979, 0.23249048, 0.701594174},
+ {1425, 0.61198926, -0.282397896, 0.2339053, 0.700720251},
+ {1426, 0.611534059, -0.283614129, 0.234929338, 0.700283825},
+ {1427, 0.610994458, -0.28461045, 0.235615581, 0.700120032},
+ {1428, 0.610546231, -0.285721004, 0.236514613, 0.69975543},
+ {1429, 0.610191405, -0.287051678, 0.237725198, 0.699109852},
+ {1430, 0.609820127, -0.288310468, 0.238877445, 0.698522806},
+ {1431, 0.609423101, -0.289366037, 0.239739165, 0.698137522},
+ {1432, 0.609035611, -0.290432483, 0.240656123, 0.69771713},
+ {1433, 0.60862875, -0.291693509, 0.24177362, 0.697159648},
+ {1434, 0.608165681, -0.293025374, 0.242898986, 0.696613789},
+ {1435, 0.607786, -0.294090897, 0.243814304, 0.696176291},
+ {1436, 0.607473314, -0.295011461, 0.244616196, 0.69577831},
+ {1437, 0.607076347, -0.296147317, 0.245589927, 0.69529897},
+ {1438, 0.606562972, -0.297602266, 0.246832922, 0.6946854},
+ {1439, 0.606128275, -0.298814684, 0.247887373, 0.694168806},
+ {1440, 0.60574615, -0.299869329, 0.248808429, 0.693717778},
+ {1441, 0.605241358, -0.301280141, 0.250008792, 0.693115354},
+ {1442, 0.604741335, -0.302672744, 0.25120908, 0.692510784},
+ {1443, 0.604372978, -0.303670168, 0.252072781, 0.69208169},
+ {1444, 0.60412854, -0.304355383, 0.252644122, 0.691785812},
+ {1445, 0.603877246, -0.305042118, 0.253241569, 0.691484153},
+ {1446, 0.603458405, -0.30616042, 0.254211009, 0.690999746},
+ {1447, 0.602930546, -0.307597965, 0.255431354, 0.690371752},
+ {1448, 0.602439702, -0.308872938, 0.256509274, 0.689831078},
+ {1449, 0.60159272, -0.310086668, 0.257165641, 0.689781308},
+ {1450, 0.600513399, -0.311372995, 0.257723242, 0.689934254},
+ {1451, 0.60000056, -0.311999112, 0.258036047, 0.689980686},
+ {1452, 0.599736512, -0.313267678, 0.259282261, 0.689167857},
+ {1453, 0.599688709, -0.314259827, 0.260424286, 0.688326597},
+ {1454, 0.599473, -0.31503436, 0.261166215, 0.687879145},
+ {1455, 0.599100947, -0.315544695, 0.26146996, 0.687854052},
+ {1456, 0.59860146, -0.316539019, 0.262178272, 0.687562406},
+ {1457, 0.598104358, -0.317962199, 0.263438433, 0.686856151},
+ {1458, 0.597710311, -0.319130778, 0.264512658, 0.68624413},
+ {1459, 0.597041607, -0.319802672, 0.26461339, 0.686474681},
+ {1460, 0.595927656, -0.320851326, 0.264832914, 0.686868429},
+ {1461, 0.595058441, -0.322043478, 0.265504271, 0.68680495},
+ {1462, 0.595095515, -0.322392911, 0.265927702, 0.686444879},
+ {1463, 0.595010579, -0.323650062, 0.267362624, 0.685368776},
+ {1464, 0.594773054, -0.324742794, 0.268499196, 0.684613347},
+ {1465, 0.594388247, -0.325319499, 0.268879622, 0.684524357},
+ {1466, 0.593970239, -0.325899214, 0.269124836, 0.684515178},
+ {1467, 0.593361437, -0.327161849, 0.270095348, 0.684058368},
+ {1468, 0.592251778, -0.328728735, 0.270932406, 0.683937907},
+ {1469, 0.59140712, -0.329388827, 0.270883799, 0.68437022},
+ {1470, 0.590737998, -0.330536246, 0.271688372, 0.684075952},
+ {1471, 0.590734601, -0.331170559, 0.272428006, 0.6834777},
+ {1472, 0.590977132, -0.331353933, 0.272906065, 0.682988286},
+ {1473, 0.59053731, -0.332599699, 0.274034739, 0.68231082},
+ {1474, 0.589772224, -0.334022969, 0.275074601, 0.681858838},
+ {1475, 0.589495957, -0.334388644, 0.275244385, 0.681850016},
+ {1476, 0.589131296, -0.335436314, 0.276174039, 0.681274295},
+ {1477, 0.588844001, -0.336366832, 0.27708441, 0.680693984},
+ {1478, 0.588666439, -0.336799413, 0.277417958, 0.680497885},
+ {1479, 0.588291407, -0.337577313, 0.278041452, 0.680182159},
+ {1480, 0.587685883, -0.339076012, 0.279335797, 0.679429352},
+ {1481, 0.587408006, -0.339815766, 0.279958993, 0.679043472},
+ {1482, 0.587187886, -0.340320587, 0.280386657, 0.678804636},
+ {1483, 0.586731255, -0.341393054, 0.281282067, 0.678290248},
+ {1484, 0.586228132, -0.34263885, 0.282354802, 0.677651048},
+ {1485, 0.586051404, -0.343071669, 0.28271234, 0.677435815},
+ {1486, 0.585531652, -0.344289154, 0.283742875, 0.67683661},
+ {1487, 0.585058868, -0.345407695, 0.284715325, 0.676266909},
+ {1488, 0.584749222, -0.346162975, 0.285349876, 0.675880969},
+ {1489, 0.584631205, -0.346443653, 0.285593271, 0.675736427},
+ {1490, 0.584134459, -0.347604722, 0.286595404, 0.675145149},
+ {1491, 0.583505034, -0.349092036, 0.287850976, 0.674387515},
+ {1492, 0.583510518, -0.349096775, 0.287858307, 0.674377203},
+ {1493, 0.583016992, -0.35025087, 0.288850516, 0.673781157},
+ {1494, 0.582882285, -0.350551337, 0.289096236, 0.67363596},
+ {1495, 0.582546949, -0.351357609, 0.289783448, 0.673210621},
+ {1496, 0.582133055, -0.352323234, 0.290607423, 0.672708631},
+ {1497, 0.581977904, -0.352651715, 0.290890664, 0.672548294},
+ {1498, 0.581326783, -0.354171157, 0.292181939, 0.671752691},
+ {1499, 0.581355691, -0.354121596, 0.292134196, 0.671774566},
+ {1500, 0.580847442, -0.355275512, 0.293132901, 0.671169639},
+ {1501, 0.580828726, -0.35531646, 0.293154329, 0.671154797},
+ {1502, 0.580432117, -0.356241614, 0.293953329, 0.670657814},
+ {1503, 0.580358267, -0.356404722, 0.294090688, 0.670574844},
+ {1504, 0.579908848, -0.357417077, 0.294952512, 0.670046091},
+ {1505, 0.579754949, -0.357775956, 0.295267165, 0.669849217},
+ {1506, 0.579264402, -0.358897567, 0.296227217, 0.669249415},
+ {1507, 0.579029143, -0.359411448, 0.29666388, 0.668983698},
+ {1508, 0.578730285, -0.360093117, 0.297241002, 0.668619454},
+ {1509, 0.578432977, -0.360764921, 0.297818154, 0.668257773},
+ {1510, 0.578250229, -0.36115858, 0.298162222, 0.668049693},
+ {1511, 0.578235626, -0.361167908, 0.298167825, 0.668054879},
+ {1512, 0.577648222, -0.362486422, 0.299305916, 0.667339623},
+ {1513, 0.577575266, -0.36265108, 0.29944697, 0.667249978},
+ {1514, 0.576990247, -0.363949448, 0.300549805, 0.66655302},
+ {1515, 0.576600492, -0.364809871, 0.301280588, 0.666089892},
+ {1516, 0.576492608, -0.365062594, 0.301496983, 0.665946901},
+ {1517, 0.576050401, -0.36603111, 0.302318364, 0.66542536},
+ {1518, 0.576047182, -0.366021097, 0.302312165, 0.665436447},
+ {1519, 0.575526953, -0.367182434, 0.30330047, 0.66479671},
+ {1520, 0.575308263, -0.367657483, 0.303698421, 0.664541721},
+ {1521, 0.574854732, -0.368643701, 0.304540336, 0.664002299},
+ {1522, 0.574336827, -0.369776547, 0.305505276, 0.663376987},
+ {1523, 0.574337244, -0.369786888, 0.305514842, 0.663366437},
+ {1524, 0.57385999, -0.370820045, 0.306406915, 0.662791133},
+ {1525, 0.573654294, -0.371261835, 0.306779444, 0.662549496},
+ {1526, 0.573260486, -0.37213096, 0.307523102, 0.662057877},
+ {1527, 0.572635472, -0.373467773, 0.308676153, 0.661309004},
+ {1528, 0.572605669, -0.373523682, 0.308721423, 0.661282003},
+ {1529, 0.572091401, -0.374629259, 0.309663028, 0.660661161},
+ {1530, 0.571957231, -0.374716043, 0.309583753, 0.66076535},
+ {1531, 0.571247756, -0.375178456, 0.309335828, 0.661232591},
+ {1532, 0.57021898, -0.376309097, 0.309667945, 0.661322653},
+ {1533, 0.56953156, -0.377514899, 0.310567766, 0.660805643},
+ {1534, 0.569170892, -0.378121555, 0.310871571, 0.66062659},
+ {1535, 0.568431079, -0.379194766, 0.311491698, 0.660356343},
+ {1536, 0.567679286, -0.380437016, 0.312432677, 0.659843802},
+ {1537, 0.56704855, -0.381337851, 0.312811553, 0.659686625},
+ {1538, 0.566180527, -0.382060856, 0.312698692, 0.660067141},
+ {1539, 0.565057278, -0.383535832, 0.313444793, 0.659820378},
+ {1540, 0.564434648, -0.384815514, 0.314593196, 0.659061313},
+ {1541, 0.564570248, -0.385200649, 0.315194637, 0.658432424},
+ {1542, 0.564491808, -0.385811001, 0.315968394, 0.65777117},
+ {1543, 0.563916147, -0.386761755, 0.316757768, 0.657326877},
+ {1544, 0.562656164, -0.388265431, 0.317171067, 0.657320678},
+ {1545, 0.561246276, -0.389503747, 0.317080826, 0.657836854},
+ {1546, 0.559686482, -0.3909114, 0.317132682, 0.658305585},
+ {1547, 0.558456779, -0.392393738, 0.317674994, 0.658206582},
+ {1548, 0.557701468, -0.393604487, 0.318399131, 0.657773972},
+ {1549, 0.557214081, -0.394396991, 0.318810046, 0.657513201},
+ {1550, 0.556424975, -0.395191312, 0.319087744, 0.657569826},
+ {1551, 0.554787695, -0.396903306, 0.319286048, 0.657825887},
+ {1552, 0.552888036, -0.398162812, 0.318488091, 0.659049809},
+ {1553, 0.550482154, -0.400167972, 0.318241805, 0.659967601},
+ {1554, 0.548799992, -0.401052207, 0.317259848, 0.661303163},
+ {1555, 0.54711324, -0.40263918, 0.317231864, 0.66174984},
+ {1556, 0.546310484, -0.403102398, 0.316717029, 0.662377357},
+ {1557, 0.544977725, -0.40463236, 0.317248672, 0.662287951},
+ {1558, 0.543794453, -0.405254006, 0.316456825, 0.663258493},
+ {1559, 0.541401863, -0.407621443, 0.316612095, 0.663690925},
+ {1560, 0.539828837, -0.408344746, 0.315612108, 0.665002584},
+ {1561, 0.539076567, -0.408699334, 0.315157712, 0.665610254},
+ {1562, 0.537871957, -0.410256237, 0.315687656, 0.665375829},
+ {1563, 0.536585808, -0.410971016, 0.314838052, 0.666374922},
+ {1564, 0.534143984, -0.41292429, 0.314431131, 0.667320609},
+ {1565, 0.531707227, -0.414193898, 0.312973708, 0.669162393},
+ {1566, 0.529172778, -0.415971965, 0.312079817, 0.670484781},
+ {1567, 0.527270734, -0.417432249, 0.311567903, 0.671313226},
+ {1568, 0.525996983, -0.418089271, 0.310838819, 0.672240913},
+ {1569, 0.524160445, -0.420110583, 0.311155766, 0.672268629},
+ {1570, 0.522804737, -0.420793921, 0.310251385, 0.673314095},
+ {1571, 0.520947635, -0.422552854, 0.310310125, 0.673624814},
+ {1572, 0.519272923, -0.423414797, 0.309264064, 0.674856603},
+ {1573, 0.51714462, -0.424487263, 0.307875961, 0.676449955},
+ {1574, 0.514179051, -0.426671207, 0.307070136, 0.677701592},
+ {1575, 0.511960864, -0.427725345, 0.305659175, 0.679352343},
+ {1576, 0.510204256, -0.428607225, 0.304528236, 0.680624723},
+ {1577, 0.508100688, -0.430576116, 0.304393649, 0.68101573},
+ {1578, 0.506392896, -0.431376666, 0.303338408, 0.682250857},
+ {1579, 0.504213929, -0.432427198, 0.301934659, 0.683820486},
+ {1580, 0.502053261, -0.433457553, 0.300548255, 0.685366988},
+ {1581, 0.500724018, -0.434040397, 0.299722731, 0.686331332},
+ {1582, 0.499251574, -0.434768528, 0.298770249, 0.687357664},
+ {1583, 0.496368587, -0.437332869, 0.298351169, 0.688000679},
+ {1584, 0.493310928, -0.438721776, 0.296438724, 0.690138936},
+ {1585, 0.490318269, -0.440056324, 0.294521987, 0.692239404},
+ {1586, 0.487876028, -0.441207945, 0.292964101, 0.693890989},
+ {1587, 0.486091971, -0.44205153, 0.291787058, 0.695101023},
+ {1588, 0.484262735, -0.442856371, 0.290626705, 0.696350455},
+ {1589, 0.481994957, -0.443888009, 0.289172381, 0.697870851},
+ {1590, 0.479408264, -0.445056289, 0.287513942, 0.699591637},
+ {1591, 0.477356941, -0.445934385, 0.286202997, 0.700971305},
+ {1592, 0.47544542, -0.446795136, 0.285003781, 0.70220983},
+ {1593, 0.472969115, -0.447926253, 0.283384889, 0.703814864},
+ {1594, 0.470034599, -0.44915998, 0.281519145, 0.705740571},
+ {1595, 0.466991782, -0.450434774, 0.279609233, 0.707704723},
+ {1596, 0.464396566, -0.451579988, 0.277931601, 0.709341526},
+ {1597, 0.462209672, -0.452519447, 0.276535809, 0.710715413},
+ {1598, 0.460179895, -0.453353375, 0.275223494, 0.71200937},
+ {1599, 0.457682043, -0.454406917, 0.273654431, 0.713550866},
+ {1600, 0.455105513, -0.455487221, 0.271977484, 0.715149403},
+ {1601, 0.45329392, -0.456182003, 0.270831525, 0.71629107},
+ {1602, 0.451504797, -0.456941247, 0.269727498, 0.717352927},
+ {1603, 0.44890815, -0.458064377, 0.267989486, 0.718915999},
+ {1604, 0.445557237, -0.459353209, 0.26591149, 0.720947027},
+ {1605, 0.442180991, -0.46066463, 0.263764262, 0.722974837},
+ {1606, 0.439593405, -0.461707532, 0.262132108, 0.724479556},
+ {1607, 0.437568188, -0.462532878, 0.260823607, 0.72565037},
+ {1608, 0.435453087, -0.463336974, 0.25946033, 0.726897418},
+ {1609, 0.432563066, -0.464465737, 0.257654488, 0.728543043},
+ {1610, 0.429425448, -0.465687931, 0.255615443, 0.730335116},
+ {1611, 0.426927775, -0.466591269, 0.254064471, 0.731762588},
+ {1612, 0.424789488, -0.467434436, 0.252683818, 0.732946038},
+ {1613, 0.42217961, -0.468458444, 0.251018286, 0.734371185},
+ {1614, 0.419120401, -0.469557166, 0.249073893, 0.736081779},
+ {1615, 0.415881842, -0.470716149, 0.247045442, 0.737859845},
+ {1616, 0.413080007, -0.471773326, 0.245265245, 0.739350975},
+ {1617, 0.410892814, -0.471945345, 0.243290454, 0.741110384},
+ {1618, 0.408571124, -0.472734213, 0.241799846, 0.742377877},
+ {1619, 0.405731916, -0.473757774, 0.240022421, 0.743857861},
+ {1620, 0.402824402, -0.474805623, 0.238137469, 0.745374203},
+ {1621, 0.400815636, -0.475454599, 0.236891598, 0.746439636},
+ {1622, 0.399543762, -0.474783033, 0.235160604, 0.748094559},
+ {1623, 0.397093683, -0.475703835, 0.233567595, 0.749312222},
+ {1624, 0.394133806, -0.475771129, 0.231022373, 0.75161773},
+ {1625, 0.39082092, -0.476750404, 0.228881389, 0.753380001},
+ {1626, 0.388528973, -0.476786673, 0.226864338, 0.755150497},
+ {1627, 0.386628389, -0.477201372, 0.225453272, 0.756285846},
+ {1628, 0.384676486, -0.477018714, 0.223616749, 0.757939875},
+ {1629, 0.381851345, -0.47742179, 0.2214742, 0.759741545},
+ {1630, 0.378947109, -0.477698505, 0.21917291, 0.761686623},
+ {1631, 0.377440989, -0.477317899, 0.217669308, 0.763102949},
+ {1632, 0.376331151, -0.476513147, 0.21610105, 0.76459825},
+ {1633, 0.374026746, -0.477306277, 0.214636713, 0.765645981},
+ {1634, 0.370969087, -0.477105588, 0.211949989, 0.768003583},
+ {1635, 0.367874146, -0.47731173, 0.20959121, 0.770008862},
+ {1636, 0.365620762, -0.477242947, 0.207695901, 0.771636665},
+ {1637, 0.364342064, -0.476128608, 0.205809176, 0.773433328},
+ {1638, 0.362182558, -0.476791143, 0.204522446, 0.774380088},
+ {1639, 0.359499127, -0.476529121, 0.202194616, 0.776400506},
+ {1640, 0.356422871, -0.477395415, 0.200321436, 0.777770936},
+ {1641, 0.354664445, -0.477706373, 0.199161381, 0.778681278},
+ {1642, 0.353834271, -0.477044642, 0.198093474, 0.7797364},
+ {1643, 0.352069557, -0.476611167, 0.196300045, 0.781252325},
+ {1644, 0.348977774, -0.477038383, 0.194165498, 0.782910407},
+ {1645, 0.34608233, -0.476197928, 0.191483453, 0.785364032},
+ {1646, 0.343634337, -0.476762414, 0.189995989, 0.786457002},
+ {1647, 0.342284024, -0.47603029, 0.188448608, 0.787860394},
+ {1648, 0.340561867, -0.475637734, 0.186896697, 0.789212227},
+ {1649, 0.338067681, -0.475992262, 0.185255662, 0.790456772},
+ {1650, 0.335756987, -0.475057721, 0.183009326, 0.792524517},
+ {1651, 0.3346515, -0.474660426, 0.181951597, 0.793473065},
+ {1652, 0.334179282, -0.473964572, 0.181179836, 0.794264317},
+ {1653, 0.332601011, -0.473331332, 0.179535404, 0.795676529},
+ {1654, 0.329498798, -0.473408937, 0.17729114, 0.797422349},
+ {1655, 0.326504052, -0.473655939, 0.175344408, 0.798936546},
+ {1656, 0.324813455, -0.472593099, 0.173583239, 0.800637782},
+ {1657, 0.323931903, -0.471737593, 0.172406852, 0.801752985},
+ {1658, 0.322518259, -0.471588701, 0.171278775, 0.802651703},
+ {1659, 0.320006758, -0.470924497, 0.169130832, 0.804500222},
+ {1660, 0.317436993, -0.471444815, 0.167658538, 0.805521071},
+ {1661, 0.316937417, -0.47080943, 0.167041987, 0.806217194},
+ {1662, 0.316538006, -0.47043553, 0.166498244, 0.80670476},
+ {1663, 0.3148157, -0.469482571, 0.164585814, 0.808324635},
+ {1664, 0.312030822, -0.468325168, 0.162097707, 0.810575545},
+ {1665, 0.309177577, -0.468136609, 0.16017428, 0.812158525},
+ {1666, 0.307562619, -0.468029469, 0.159108043, 0.813042581},
+ {1667, 0.306870669, -0.467146963, 0.158138499, 0.814000189},
+ {1668, 0.305516332, -0.46595192, 0.156527832, 0.815504551},
+ {1669, 0.303031564, -0.465416133, 0.154581055, 0.817107379},
+ {1670, 0.300730437, -0.465225786, 0.153043061, 0.818354487},
+ {1671, 0.300257474, -0.463998079, 0.152199492, 0.819381893},
+ {1672, 0.300060838, -0.462977141, 0.151511684, 0.820158541},
+ {1673, 0.29885909, -0.461738795, 0.149981871, 0.821575344},
+ {1674, 0.296483099, -0.460687369, 0.147949487, 0.823392928},
+ {1675, 0.293782324, -0.460303336, 0.146108195, 0.82490319},
+ {1676, 0.292185694, -0.459881395, 0.144929677, 0.825912833},
+ {1677, 0.291499078, -0.459095001, 0.144104347, 0.826737046},
+ {1678, 0.290351182, -0.457889766, 0.142775074, 0.828038931},
+ {1679, 0.288293689, -0.456511557, 0.140848771, 0.82984674},
+ {1680, 0.286192328, -0.455529004, 0.139128223, 0.831402779},
+ {1681, 0.28518945, -0.454678476, 0.138151035, 0.832375348},
+ {1682, 0.284752429, -0.453800768, 0.137452602, 0.833119333},
+ {1683, 0.283850074, -0.452816844, 0.136427, 0.834130526},
+ {1684, 0.282167882, -0.451606095, 0.134876728, 0.835608482},
+ {1685, 0.279993504, -0.450857252, 0.133234516, 0.837006629},
+ {1686, 0.278237313, -0.450004339, 0.13182281, 0.838273764},
+ {1687, 0.277582705, -0.448424518, 0.130790532, 0.839498162},
+ {1688, 0.277188808, -0.446857899, 0.129893258, 0.840602279},
+ {1689, 0.275803685, -0.445953786, 0.128630951, 0.841731369},
+ {1690, 0.273413897, -0.446171999, 0.127296537, 0.842597783},
+ {1691, 0.272228658, -0.445019782, 0.126204416, 0.843754411},
+ {1692, 0.272233158, -0.443883598, 0.125804678, 0.844410837},
+ {1693, 0.271991611, -0.443129241, 0.125266343, 0.844964743},
+ {1694, 0.270507812, -0.44205457, 0.123906396, 0.846203625},
+ {1695, 0.268202245, -0.441109806, 0.122252785, 0.847669721},
+ {1696, 0.266735852, -0.440043241, 0.121059872, 0.848857164},
+ {1697, 0.266601413, -0.43869853, 0.120463461, 0.849679887},
+ {1698, 0.266411066, -0.437664509, 0.119927049, 0.850348413},
+ {1699, 0.264996171, -0.436917335, 0.11880625, 0.851331472},
+ {1700, 0.262842268, -0.435880423, 0.117187895, 0.852753937},
+ {1701, 0.262075514, -0.434544712, 0.116340727, 0.853787005},
+ {1702, 0.262429744, -0.432789654, 0.1158875, 0.854630888},
+ {1703, 0.262280256, -0.431150138, 0.11505834, 0.855616927},
+ {1704, 0.260862976, -0.430140764, 0.113884255, 0.856714606},
+ {1705, 0.2587578, -0.429146975, 0.11240837, 0.85804528},
+ {1706, 0.257383138, -0.427694708, 0.11115469, 0.859346211},
+ {1707, 0.257345557, -0.425928771, 0.110478543, 0.860321164},
+ {1708, 0.257498235, -0.424537152, 0.110054716, 0.861017287},
+ {1709, 0.256534845, -0.423504323, 0.109148085, 0.861928523},
+ {1710, 0.254473925, -0.422252595, 0.107595444, 0.86334753},
+ {1711, 0.253239006, -0.420823634, 0.106498003, 0.864543676},
+ {1712, 0.253191113, -0.419630408, 0.106073029, 0.865189672},
+ {1713, 0.253425479, -0.418689877, 0.105788596, 0.865611374},
+ {1714, 0.25276649, -0.417768955, 0.105099298, 0.86633271},
+ {1715, 0.25149399, -0.416304827, 0.103908375, 0.867550611},
+ {1716, 0.250129551, -0.414682597, 0.102775984, 0.868855894},
+ {1717, 0.249152109, -0.413411796, 0.101702072, 0.869868159},
+ {1718, 0.248808816, -0.411960453, 0.101126872, 0.870721638},
+ {1719, 0.248456597, -0.410343885, 0.100389235, 0.871670425},
+ {1720, 0.247829005, -0.408850372, 0.0995054245, 0.872651577},
+ {1721, 0.246954829, -0.407741517, 0.0987788737, 0.873500347},
+ {1722, 0.246344298, -0.406821132, 0.0980706364, 0.874181449},
+ {1723, 0.245720491, -0.405810356, 0.0975416526, 0.874885738},
+ {1724, 0.245649904, -0.404399276, 0.0969119743, 0.875628591},
+ {1725, 0.244863242, -0.402880311, 0.0961326584, 0.876634419},
+ {1726, 0.244197413, -0.401617169, 0.0953084156, 0.877489448},
+ {1727, 0.243480936, -0.400408715, 0.0946154594, 0.87831533},
+ {1728, 0.243103281, -0.398741752, 0.0938908979, 0.879255533},
+ {1729, 0.243157893, -0.396909118, 0.0932961255, 0.880132556},
+ {1730, 0.242562383, -0.395671904, 0.092671223, 0.880919576},
+ {1731, 0.242268205, -0.394410074, 0.0920841396, 0.881627679},
+ {1732, 0.242580056, -0.392668992, 0.0917261168, 0.882356167},
+ {1733, 0.242049485, -0.390989959, 0.0908818841, 0.883334219},
+ {1734, 0.241026431, -0.389632225, 0.0900202319, 0.884301662},
+ {1735, 0.240899995, -0.388294131, 0.0895741507, 0.884969711},
+ {1736, 0.240771368, -0.386832744, 0.0889755487, 0.885704815},
+ {1737, 0.24004671, -0.385198385, 0.0881804749, 0.886692703},
+ {1738, 0.239818737, -0.383684993, 0.0875996724, 0.887467802},
+ {1739, 0.239564031, -0.382614225, 0.0871592388, 0.888042092},
+ {1740, 0.238733783, -0.382332623, 0.0866611376, 0.888435662},
+ {1741, 0.238691479, -0.380469799, 0.0860823691, 0.889302492},
+ {1742, 0.239192694, -0.378582299, 0.0857682973, 0.890003443},
+ {1743, 0.239153177, -0.37736097, 0.0853039026, 0.890577257},
+ {1744, 0.238218948, -0.376373321, 0.0845938697, 0.891312957},
+ {1745, 0.237628534, -0.375072062, 0.0839906409, 0.892075837},
+ {1746, 0.238015696, -0.37370193, 0.083779186, 0.892567396},
+ {1747, 0.238213658, -0.372223049, 0.0833304822, 0.89317435},
+ {1748, 0.237274393, -0.371047169, 0.0825325549, 0.893987298},
+ {1749, 0.236471027, -0.369790763, 0.0818789601, 0.894780457},
+ {1750, 0.236782745, -0.367973238, 0.0815101787, 0.895480752},
+ {1751, 0.237365529, -0.366082132, 0.0811189264, 0.89613688},
+ {1752, 0.237419367, -0.364562422, 0.0806791857, 0.896781623},
+ {1753, 0.237429336, -0.363141894, 0.0803461149, 0.897385061},
+ {1754, 0.237279058, -0.361510277, 0.0797302723, 0.898138106},
+ {1755, 0.236200482, -0.359768897, 0.0787513256, 0.899207413},
+ {1756, 0.235591203, -0.358433634, 0.0781458393, 0.899953008},
+ {1757, 0.236049116, -0.357136548, 0.0779959485, 0.900361598},
+ {1758, 0.23650749, -0.355622709, 0.0776574761, 0.900869668},
+ {1759, 0.236171037, -0.353782743, 0.0769825354, 0.901739836},
+ {1760, 0.235044122, -0.352160603, 0.0761205405, 0.902741849},
+ {1761, 0.234657198, -0.351057321, 0.0756314471, 0.90331322},
+ {1762, 0.235317424, -0.349745303, 0.0755342543, 0.90365845},
+ {1763, 0.235689685, -0.348273903, 0.0752091333, 0.904156685},
+ {1764, 0.23554188, -0.346632749, 0.0747083351, 0.904867172},
+ {1765, 0.235384881, -0.345401406, 0.0742917582, 0.905412972},
+ {1766, 0.234598979, -0.34428525, 0.0736461356, 0.906094491},
+ {1767, 0.234209955, -0.342557609, 0.0729952753, 0.906902313},
+ {1768, 0.234634727, -0.340493172, 0.0726170391, 0.907599986},
+ {1769, 0.234914839, -0.338974744, 0.0722500682, 0.908125043},
+ {1770, 0.234898418, -0.337467492, 0.0718283728, 0.908723891},
+ {1771, 0.234933823, -0.337396622, 0.0718616918, 0.908738494},
+ {1772, 0.234928727, -0.337459534, 0.0718441531, 0.908717811},
+ {1773, 0.234969482, -0.337501138, 0.0718575865, 0.908690691},
+ {1774, 0.234958708, -0.337412894, 0.0718584284, 0.908726275},
+ {1775, 0.23488225, -0.337432861, 0.0718329102, 0.90874064},
+ {1776, 0.234999344, -0.337488592, 0.0718617439, 0.908687353},
+ {1777, 0.23497279, -0.33745268, 0.071860984, 0.908707559},
+ {1778, 0.234891146, -0.337420285, 0.0718376487, 0.908742607},
+ {1779, 0.234983519, -0.337457925, 0.0718557686, 0.908703327},
+ {1780, 0.234983101, -0.337480009, 0.0718691498, 0.908694088},
+ {1781, 0.234933347, -0.337426752, 0.0718476027, 0.90872854},
+ {1782, 0.234970033, -0.337437093, 0.0718478486, 0.908715129},
+ {1783, 0.234983131, -0.337480992, 0.071869947, 0.908693671},
+ {1784, 0.234971955, -0.337439954, 0.0718572959, 0.908712864},
+ {1785, 0.23494935, -0.337426394, 0.0718448535, 0.908724725},
+ {1786, 0.234984875, -0.337471962, 0.0718704164, 0.908696592},
+ {1787, 0.234995678, -0.3374632, 0.071867153, 0.908697248},
+ {1788, 0.234946817, -0.337429762, 0.0718453303, 0.90872407},
+ {1789, 0.234977216, -0.337454557, 0.0718708932, 0.908704996},
+ {1790, 0.234991759, -0.337480068, 0.0718818009, 0.90869087},
+ {1791, 0.234959245, -0.337451369, 0.0718669146, 0.908711195},
+ {1792, 0.234965593, -0.337451518, 0.0718831941, 0.908708155},
+ {1793, 0.234988496, -0.337486506, 0.0719019398, 0.90868777},
+ {1794, 0.234983981, -0.337463349, 0.0718906671, 0.90869844},
+ {1795, 0.234962776, -0.33744359, 0.0718945861, 0.908710957},
+ {1796, 0.23505412, -0.337470531, 0.0719337538, 0.908674181},
+ {1797, 0.236141473, -0.333228737, 0.0711571947, 0.910017848},
+ {1798, 0.236998916, -0.330472618, 0.0706967562, 0.910835564},
+ {1799, 0.237093255, -0.326302469, 0.0695446283, 0.912401795},
+ {1800, 0.237167329, -0.322642058, 0.0685637966, 0.913757563},
+ {1801, 0.23766084, -0.318517506, 0.0675791353, 0.915148675},
+ {1802, 0.237943932, -0.314273536, 0.0664966777, 0.916620433},
+ {1803, 0.238195315, -0.310408056, 0.0655139238, 0.917942166},
+ {1804, 0.238557011, -0.305853993, 0.0643799528, 0.919455886},
+ {1805, 0.238781184, -0.30223912, 0.0634519756, 0.9206568},
+ {1806, 0.239713177, -0.298048764, 0.0626198053, 0.921836972},
+ {1807, 0.241068423, -0.293359786, 0.0617702901, 0.923044145},
+ {1808, 0.241431043, -0.290055752, 0.0609611608, 0.924046814},
+ {1809, 0.241831377, -0.28542915, 0.0598541051, 0.92545414},
+ {1810, 0.243089736, -0.281680882, 0.0592032522, 0.926314354},
+ {1811, 0.24385345, -0.280693978, 0.0591748841, 0.926415026},
+ {1812, 0.244212031, -0.279551864, 0.0589613579, 0.926679432},
+ {1813, 0.245275095, -0.278345883, 0.0589649491, 0.926761508},
+ {1814, 0.247012183, -0.276920646, 0.0591518693, 0.926715136},
+ {1815, 0.248344585, -0.275182366, 0.0589740574, 0.926888227},
+ {1816, 0.249093041, -0.272990882, 0.0586223491, 0.927357614},
+ {1817, 0.249623731, -0.271374792, 0.0584052019, 0.927702844},
+ {1818, 0.250756025, -0.270296216, 0.0583753735, 0.927714288},
+ {1819, 0.252757639, -0.269086748, 0.0586734228, 0.927503884},
+ {1820, 0.254428595, -0.267751366, 0.0587564744, 0.927428186},
+ {1821, 0.255149066, -0.265752792, 0.0584334433, 0.927825391},
+ {1822, 0.255151719, -0.265773386, 0.0584607348, 0.927816987},
+ {1823, 0.255701154, -0.265700221, 0.0585505515, 0.927681029},
+ {1824, 0.257517874, -0.264061868, 0.0587379411, 0.927634537},
+ {1825, 0.259446353, -0.263971686, 0.0591967516, 0.927093446},
+ {1826, 0.260824591, -0.263875723, 0.0595726669, 0.92670995},
+ {1827, 0.261228442, -0.262408823, 0.0593089871, 0.92702955},
+ {1828, 0.261275738, -0.262468338, 0.0592811555, 0.927001178},
+ {1829, 0.262233019, -0.262340665, 0.0596163571, 0.926745474},
+ {1830, 0.263772041, -0.26223281, 0.0599773675, 0.926315844},
+ {1831, 0.265510857, -0.262089044, 0.0604793318, 0.925827026},
+ {1832, 0.266596615, -0.261968166, 0.0607999712, 0.925528169},
+ {1833, 0.267174453, -0.260114193, 0.0603417791, 0.925914347},
+ {1834, 0.267551154, -0.260074884, 0.0605578013, 0.925802469},
+ {1835, 0.268391758, -0.258481234, 0.060218066, 0.926027596},
+ {1836, 0.269690067, -0.257933497, 0.0605252609, 0.925783098},
+ {1837, 0.270792216, -0.257763326, 0.0607243776, 0.925495684},
+ {1838, 0.271956176, -0.256150812, 0.06061491, 0.925609291},
+ {1839, 0.27264604, -0.256096274, 0.0608045869, 0.9254089},
+ {1840, 0.273756176, -0.254476517, 0.0606097095, 0.925540805},
+ {1841, 0.274240553, -0.254475445, 0.0607968979, 0.925385416},
+ {1842, 0.274342865, -0.252663583, 0.060186483, 0.92589134},
+ {1843, 0.275105417, -0.252471238, 0.0604526103, 0.925700188},
+ {1844, 0.276677579, -0.250547469, 0.0602637827, 0.925766647},
+ {1845, 0.278034359, -0.250297368, 0.060558971, 0.925408423},
+ {1846, 0.279150665, -0.249012783, 0.0604973398, 0.925422966},
+ {1847, 0.279763669, -0.248715594, 0.0605998449, 0.925311089},
+ {1848, 0.280797154, -0.2477777, 0.0605750531, 0.925251245},
+ {1849, 0.281992167, -0.247197121, 0.0607845224, 0.925029337},
+ {1850, 0.283101618, -0.247096822, 0.0610008761, 0.924702942},
+ {1851, 0.282924771, -0.247129411, 0.0609971806, 0.9247486},
+ {1852, 0.282784015, -0.247103855, 0.0609332137, 0.92480278},
+ {1853, 0.283801496, -0.246987998, 0.0612119399, 0.924503565},
+ {1854, 0.284538507, -0.246995747, 0.0614006929, 0.924262404},
+ {1855, 0.284267932, -0.247050539, 0.0613062456, 0.924337208},
+ {1856, 0.28381902, -0.246983588, 0.0612297617, 0.924498081},
+ {1857, 0.283867776, -0.246997565, 0.0612389296, 0.924478889},
+ {1858, 0.284101844, -0.247082412, 0.0612892881, 0.924380958},
+ {1859, 0.284039229, -0.247037202, 0.0612779893, 0.924413025},
+ {1860, 0.283920676, -0.246983439, 0.0612509623, 0.924465597},
+ {1861, 0.284019947, -0.24705863, 0.061279878, 0.924413085},
+ {1862, 0.284196049, -0.24524273, 0.0607294478, 0.924878716},
+ {1863, 0.284092933, -0.245242491, 0.0607448816, 0.924909353},
+ {1864, 0.284104735, -0.245186895, 0.0607224107, 0.924922049},
+ {1865, 0.28431645, -0.243373051, 0.060182672, 0.92537117},
+ {1866, 0.284267306, -0.243345946, 0.0601927564, 0.925392747},
+ {1867, 0.284394056, -0.242022619, 0.0598134883, 0.9257254},
+ {1868, 0.286109567, -0.241524488, 0.0601794682, 0.925303042},
+ {1869, 0.29022786, -0.241097227, 0.0612505786, 0.924060762},
+ {1870, 0.294525921, -0.239291623, 0.0618116148, 0.92313236},
+ {1871, 0.297330976, -0.239195585, 0.0624609366, 0.922213912},
+ {1872, 0.300163776, -0.238811508, 0.0632108822, 0.921344221},
+ {1873, 0.304374516, -0.238292232, 0.064318113, 0.920019686},
+ {1874, 0.309261173, -0.237926766, 0.0655192807, 0.91839838},
+ {1875, 0.31372714, -0.237573594, 0.0665714219, 0.916898251},
+ {1876, 0.317251205, -0.237139314, 0.0675001219, 0.915729463},
+ {1877, 0.32014811, -0.236816496, 0.0682296455, 0.914750159},
+ {1878, 0.323668242, -0.236487269, 0.0691079199, 0.913529873},
+ {1879, 0.328090876, -0.236032248, 0.0702189058, 0.911983848},
+ {1880, 0.332615703, -0.235538915, 0.0713511109, 0.910383046},
+ {1881, 0.334997237, -0.235372558, 0.0719276667, 0.909507096},
+ {1882, 0.335454911, -0.2354801, 0.07205116, 0.909300745},
+ {1883, 0.33608523, -0.235837936, 0.0725227967, 0.908937633},
+ {1884, 0.33846885, -0.235452622, 0.0731617659, 0.908101499},
+ {1885, 0.342300177, -0.235102683, 0.0741488114, 0.906674862},
+ {1886, 0.345525533, -0.235449538, 0.0750652626, 0.905284941},
+ {1887, 0.347131163, -0.235924542, 0.0756643936, 0.904496849},
+ {1888, 0.348254532, -0.235747218, 0.0760244876, 0.904080927},
+ {1889, 0.349969804, -0.235441089, 0.0764718279, 0.903460443},
+ {1890, 0.351315916, -0.235398203, 0.076786384, 0.902922332},
+ {1891, 0.351599246, -0.23539865, 0.0768710226, 0.902804732},
+ {1892, 0.352869302, -0.235139489, 0.0772038549, 0.90234822},
+ {1893, 0.355787873, -0.234717026, 0.0779994801, 0.901243031},
+ {1894, 0.358642399, -0.236170739, 0.079390645, 0.89960897},
+ {1895, 0.360673368, -0.236198679, 0.0799408033, 0.89874047},
+ {1896, 0.361744255, -0.237688661, 0.0809568316, 0.897825837},
+ {1897, 0.362816811, -0.238443166, 0.0816411451, 0.897130728},
+ {1898, 0.364824057, -0.238760069, 0.0823584199, 0.896166444},
+ {1899, 0.367721468, -0.239516526, 0.0835684836, 0.894667089},
+ {1900, 0.370178908, -0.239384577, 0.0843207613, 0.89361769},
+ {1901, 0.370980293, -0.24097079, 0.0852107927, 0.892774284},
+ {1902, 0.37207371, -0.242584378, 0.0863224268, 0.891774893},
+ {1903, 0.374916911, -0.243450582, 0.087704502, 0.890211821},
+ {1904, 0.378833383, -0.243957266, 0.0891493037, 0.888269424},
+ {1905, 0.382233977, -0.244530961, 0.0904176459, 0.886524916},
+ {1906, 0.383945018, -0.245865062, 0.0916098952, 0.885293305},
+ {1907, 0.385148644, -0.247462377, 0.0928257629, 0.884198129},
+ {1908, 0.387188196, -0.248624384, 0.094044596, 0.882851541},
+ {1909, 0.390408099, -0.249450564, 0.0955165774, 0.881040573},
+ {1910, 0.393940419, -0.250208825, 0.0970918462, 0.879078925},
+ {1911, 0.396498203, -0.251375169, 0.0985315964, 0.877434492},
+ {1912, 0.398478568, -0.252467126, 0.0997566059, 0.876084447},
+ {1913, 0.400492191, -0.253319323, 0.100938305, 0.874783874},
+ {1914, 0.403328866, -0.254056215, 0.102296837, 0.873107493},
+ {1915, 0.40651691, -0.255139679, 0.103949033, 0.871115565},
+ {1916, 0.409340203, -0.256456912, 0.10566625, 0.869197965},
+ {1917, 0.411662251, -0.257499188, 0.1070389, 0.867623806},
+ {1918, 0.413745224, -0.258371979, 0.108275428, 0.866218984},
+ {1919, 0.416225791, -0.259542704, 0.109824933, 0.864483774},
+ {1920, 0.418135196, -0.261163145, 0.111352123, 0.862877429},
+ {1921, 0.41864714, -0.262546629, 0.112286843, 0.862087905},
+ {1922, 0.420020878, -0.263525099, 0.11338672, 0.860976458},
+ {1923, 0.423050225, -0.264626771, 0.115247823, 0.858905792},
+ {1924, 0.426952541, -0.265805036, 0.117336296, 0.856324375},
+ {1925, 0.429974407, -0.266817808, 0.119008861, 0.85426414},
+ {1926, 0.431630075, -0.267766714, 0.120203234, 0.852964103},
+ {1927, 0.432906866, -0.269078553, 0.121543907, 0.85171324},
+ {1928, 0.434984952, -0.270631671, 0.123266324, 0.849913001},
+ {1929, 0.438278645, -0.271673977, 0.125196382, 0.847603023},
+ {1930, 0.441540807, -0.271866381, 0.12668632, 0.845624626},
+ {1931, 0.443616837, -0.273118645, 0.128250822, 0.843896985},
+ {1932, 0.445315182, -0.27463007, 0.129909024, 0.842256665},
+ {1933, 0.447871864, -0.275964022, 0.13183856, 0.840162635},
+ {1934, 0.451285124, -0.276945561, 0.133853868, 0.837691009},
+ {1935, 0.454648763, -0.278428942, 0.136239797, 0.834991395},
+ {1936, 0.457362264, -0.279358149, 0.138056055, 0.83289814},
+ {1937, 0.459557652, -0.280219704, 0.139594734, 0.831142068},
+ {1938, 0.461621851, -0.281702936, 0.141465902, 0.829177976},
+ {1939, 0.46423617, -0.283465624, 0.14381887, 0.82670927},
+ {1940, 0.467207044, -0.284245044, 0.145706981, 0.82443428},
+ {1941, 0.468920827, -0.285649896, 0.14738059, 0.822676361},
+ {1942, 0.470385432, -0.287527204, 0.149363354, 0.82082659},
+ {1943, 0.472652227, -0.288891941, 0.15143837, 0.818662167},
+ {1944, 0.475929588, -0.290036708, 0.153747901, 0.815923631},
+ {1945, 0.479151279, -0.291651696, 0.1564596, 0.812941432},
+ {1946, 0.481807858, -0.29259932, 0.158447936, 0.810642421},
+ {1947, 0.483471066, -0.293935806, 0.160279438, 0.808806598},
+ {1948, 0.485098213, -0.295958787, 0.162507728, 0.806647062},
+ {1949, 0.487525254, -0.29701215, 0.164565101, 0.804376364},
+ {1950, 0.490605921, -0.297766089, 0.166739598, 0.801772475},
+ {1951, 0.492763758, -0.29952538, 0.169142947, 0.799286723},
+ {1952, 0.494576365, -0.300751001, 0.171064198, 0.79729557},
+ {1953, 0.4965702, -0.301781505, 0.172993928, 0.795247793},
+ {1954, 0.499064147, -0.303175539, 0.175397724, 0.792625606},
+ {1955, 0.501856625, -0.304375172, 0.177873462, 0.789846063},
+ {1956, 0.504456103, -0.305367142, 0.180170476, 0.787282407},
+ {1957, 0.506499887, -0.3066715, 0.182398707, 0.78494662},
+ {1958, 0.508351266, -0.307958454, 0.184481204, 0.78275615},
+ {1959, 0.51043278, -0.308887511, 0.186500296, 0.780553997},
+ {1960, 0.512633801, -0.310109466, 0.188854694, 0.778056979},
+ {1961, 0.51450932, -0.311539769, 0.191120759, 0.775690615},
+ {1962, 0.516147673, -0.312787354, 0.193155929, 0.773593247},
+ {1963, 0.517959237, -0.314054757, 0.195427865, 0.771294951},
+ {1964, 0.519958675, -0.315256119, 0.19767569, 0.76888293},
+ {1965, 0.522218764, -0.316089898, 0.199835107, 0.766446829},
+ {1966, 0.524257898, -0.317293078, 0.202250019, 0.76391995},
+ {1967, 0.526120186, -0.318528563, 0.204574585, 0.761502743},
+ {1968, 0.527883172, -0.319648176, 0.206706822, 0.759234309},
+ {1969, 0.529552579, -0.320893079, 0.208971262, 0.756923258},
+ {1970, 0.531326711, -0.321969301, 0.211207464, 0.754598737},
+ {1971, 0.532690883, -0.321747214, 0.211905286, 0.753535211},
+ {1972, 0.532706618, -0.321786761, 0.211878479, 0.753514767},
+ {1973, 0.53202343, -0.321948588, 0.211623624, 0.753999829},
+ {1974, 0.53162086, -0.32204625, 0.211479768, 0.754282355},
+ {1975, 0.531796038, -0.322056085, 0.211543322, 0.754136801},
+ {1976, 0.531937182, -0.322035491, 0.21160315, 0.754029274},
+ {1977, 0.531797945, -0.322037697, 0.211552933, 0.754140675},
+ {1978, 0.531818926, -0.322021604, 0.211585626, 0.754123509},
+ {1979, 0.531858325, -0.32207033, 0.211577207, 0.754077315},
+ {1980, 0.5318169, -0.322074682, 0.211577684, 0.754104495},
+ {1981, 0.531816721, -0.322030663, 0.211601272, 0.754116833},
+ {1982, 0.531805873, -0.322078258, 0.211591303, 0.754106939},
+ {1983, 0.531839967, -0.322087884, 0.211604938, 0.754074931},
+ {1984, 0.531802833, -0.322064579, 0.211610928, 0.754109383},
+ {1985, 0.531790614, -0.322076857, 0.211611554, 0.754112661},
+ {1986, 0.531629324, -0.322948277, 0.212233633, 0.753678679},
+ {1987, 0.531702459, -0.325954556, 0.215080425, 0.751522839},
+ {1988, 0.533537865, -0.327982128, 0.218324333, 0.748398006},
+ {1989, 0.536470234, -0.329733789, 0.222076148, 0.744417608},
+ {1990, 0.539795816, -0.331507653, 0.226207167, 0.739968598},
+ {1991, 0.543223262, -0.333403349, 0.230831712, 0.735165},
+ {1992, 0.546816409, -0.335474938, 0.235789344, 0.729966938},
+ {1993, 0.550559759, -0.336974978, 0.240335703, 0.724962533},
+ {1994, 0.553860247, -0.338739842, 0.245031834, 0.720037282},
+ {1995, 0.55662781, -0.341017067, 0.249938026, 0.715125084},
+ {1996, 0.559449613, -0.342645437, 0.254273921, 0.710601866},
+ {1997, 0.562393367, -0.344362825, 0.25892657, 0.705751419},
+ {1998, 0.565491617, -0.346226096, 0.264070958, 0.700437963},
+ {1999, 0.568905056, -0.347337663, 0.26877445, 0.695315659},
+ {2000, 0.571638286, -0.34900406, 0.273507476, 0.690376401},
+ {2001, 0.573611736, -0.349143326, 0.275676936, 0.68780148},
+ {2002, 0.57393229, -0.35029009, 0.277448356, 0.686236799},
+ {2003, 0.573392928, -0.351632625, 0.278705359, 0.685491443},
+ {2004, 0.572851717, -0.353101045, 0.279940546, 0.68468529},
+ {2005, 0.57248044, -0.354828954, 0.28169468, 0.683381855},
+ {2006, 0.572783113, -0.35570237, 0.283194333, 0.68205297},
+ {2007, 0.573640585, -0.35635218, 0.285008639, 0.680235028},
+ {2008, 0.574541688, -0.35748592, 0.287474483, 0.677837908},
+ {2009, 0.575285614, -0.35860014, 0.289807737, 0.675621092},
+ {2010, 0.575845242, -0.359126329, 0.2911807, 0.674273193},
+ {2011, 0.575650692, -0.359859735, 0.291935772, 0.673721611},
+ {2012, 0.575487494, -0.360319048, 0.292357802, 0.673432529},
+ {2013, 0.574914455, -0.361667216, 0.293572366, 0.672670484},
+ {2014, 0.574400902, -0.362879038, 0.294556111, 0.672026098},
+ {2015, 0.574243486, -0.363638401, 0.295448035, 0.671358287},
+ {2016, 0.574701011, -0.363766491, 0.296181202, 0.67057395},
+ {2017, 0.574722052, -0.364648938, 0.29739818, 0.669537187},
+ {2018, 0.574086428, -0.366060704, 0.298578233, 0.668786526},
+ {2019, 0.573402107, -0.367220998, 0.299396515, 0.668371558},
+ {2020, 0.573410869, -0.367256641, 0.299470514, 0.668311298},
+ {2021, 0.573446035, -0.367280692, 0.299488425, 0.668259919},
+ {2022, 0.573402226, -0.367298603, 0.299477398, 0.668292642},
+ {2023, 0.573417425, -0.367274553, 0.299490035, 0.668287098},
+ {2024, 0.573411286, -0.367305756, 0.299497515, 0.66827184},
+ {2025, 0.573419034, -0.367319822, 0.29950732, 0.668253064},
+ {2026, 0.573410451, -0.367302746, 0.299515098, 0.668266356},
+ {2027, 0.573384523, -0.367318094, 0.29952991, 0.668273568},
+ {2028, 0.573418558, -0.367335677, 0.299536258, 0.668231845},
+ {2029, 0.573400736, -0.36733374, 0.299523979, 0.66825366},
+ {2030, 0.573386669, -0.367323726, 0.299546987, 0.668260932},
+ {2031, 0.573569298, -0.366991818, 0.299259245, 0.668415427},
+ {2032, 0.573640049, -0.366800457, 0.299075603, 0.668541908},
+ {2033, 0.573635221, -0.366781592, 0.299110621, 0.668540835},
+ {2034, 0.573631585, -0.366788536, 0.299098432, 0.668545544},
+ {2035, 0.573638499, -0.366801888, 0.299087018, 0.668537319},
+ {2036, 0.573638499, -0.366788447, 0.299113601, 0.668532908},
+ {2037, 0.573616266, -0.366794437, 0.299100101, 0.668554664},
+ {2038, 0.573635697, -0.366806924, 0.299099952, 0.668531299},
+ {2039, 0.573630691, -0.36680308, 0.299118549, 0.668529332},
+ {2040, 0.573608398, -0.366795212, 0.299114436, 0.668554664},
+ {2041, 0.573625863, -0.366801381, 0.299112976, 0.668536901},
+ {2042, 0.573623776, -0.366816103, 0.299118817, 0.66852802},
+ {2043, 0.573615432, -0.366811067, 0.299116671, 0.668538868},
+ {2044, 0.573617578, -0.366821498, 0.299119145, 0.668530226},
+ {2045, 0.573617876, -0.366838813, 0.299130023, 0.668515623},
+ {2046, 0.573610306, -0.366834223, 0.299127221, 0.668525815},
+ {2047, 0.573592722, -0.36683467, 0.299132138, 0.668538451},
+ {2048, 0.573604286, -0.366839975, 0.299140424, 0.668521941},
+ {2049, 0.57359755, -0.3668468, 0.299139172, 0.668524563},
+ {2050, 0.573584616, -0.366835147, 0.299145609, 0.668539166},
+ {2051, 0.573590577, -0.366841316, 0.299160957, 0.668523788},
+ {2052, 0.573583543, -0.366858751, 0.299154609, 0.668523133},
+ {2053, 0.573576152, -0.366854608, 0.299172044, 0.668523848},
+ {2054, 0.573564112, -0.366861731, 0.299188584, 0.668522894},
+ {2055, 0.573564112, -0.366878361, 0.299192727, 0.668511927},
+ {2056, 0.573559225, -0.366880834, 0.299202889, 0.668510258},
+ {2057, 0.573539138, -0.366886437, 0.299218953, 0.668517232},
+ {2058, 0.573535323, -0.36689657, 0.299221843, 0.668513596},
+ {2059, 0.573533535, -0.366909832, 0.299229771, 0.668504298},
+ {2060, 0.573522329, -0.36691466, 0.299248666, 0.668502808},
+ {2061, 0.573514342, -0.366921991, 0.299253613, 0.668503523},
+ {2062, 0.57350719, -0.366942972, 0.299260885, 0.668494821},
+ {2063, 0.5734936, -0.366948038, 0.2992782, 0.668496013},
+ {2064, 0.573478103, -0.366958231, 0.299286783, 0.668499887},
+ {2065, 0.573477268, -0.366977543, 0.299297035, 0.668485403},
+ {2066, 0.573466003, -0.366987646, 0.299314559, 0.668481648},
+ {2067, 0.573445439, -0.366999567, 0.299324393, 0.668488264},
+ {2068, 0.57343173, -0.367011249, 0.299345523, 0.668484151}};
+static const std::vector<Eigen::Vector3f> outputs = {
+ {87.724789669891, 2.87013200853753, 0},
+ {87.7251646880435, 2.86980794547854, 0},
+ {87.7255658212797, 2.86969162939705, 0},
+ {87.7254454841304, 2.86892340692927, 0},
+ {87.7257764963664, 2.87017893090998, 0},
+ {87.7262247666344, 2.86976920459143, 0},
+ {87.7256686494918, 2.87026355483494, 0},
+ {87.7246008496925, 2.87022446648878, 0},
+ {87.7250208743746, 2.87088890883874, 0},
+ {87.7275457944992, 2.87031988060639, 0},
+ {87.7268950718383, 2.86966198115272, 0},
+ {87.7256709755773, 2.86928740479807, 0},
+ {87.7266670527937, 2.86821605460405, 0},
+ {87.7277500012458, 2.86707554084669, 0},
+ {87.7270781789425, 2.86744421729087, 0},
+ {87.7286446711478, 2.86795830718744, 0},
+ {87.7293497565107, 2.86921016967116, 0},
+ {87.7273327146943, 2.86865367243725, 0},
+ {87.7268329794578, 2.86874904562473, 0},
+ {87.7277813905976, 2.86800057877074, 0},
+ {87.7276097023265, 2.86923717620821, 0},
+ {87.7267423037784, 2.86908793780053, 0},
+ {87.7770996413614, 2.79851252907386, 0},
+ {88.2829150723259, 2.70951054038937, 0},
+ {89.2672911099196, 2.52764020011994, 0},
+ {90.5162822704166, 2.30196338980435, 0},
+ {91.6872532023601, 2.13131652311386, 0},
+ {92.590945479754, 1.95589143650237, 0},
+ {93.2677409726842, 1.79081382001768, 0},
+ {93.9535804613107, 1.60310222375385, 0},
+ {94.7986455349353, 1.39048645960254, 0},
+ {95.7639276325223, 1.20603532663125, 0},
+ {96.4230492302468, 0.994896822365639, 0},
+ {96.622556685743, 0.740324459727189, 0},
+ {96.6059801461737, 0.652347479140416, 0},
+ {96.6746420181747, 0.545524171298009, 0},
+ {96.9598138259462, 0.386266626418815, 0},
+ {97.4334988727366, 0.176269200358141, 0},
+ {97.8891920723606, -0.00683897663397895, 0},
+ {98.2268367494686, -0.102596132633698, 0},
+ {98.438636712025, -0.319350261971724, 0},
+ {98.5922083685751, -0.461686167304158, 0},
+ {98.5680109986915, -0.479710435279661, 0},
+ {98.3898237087866, -0.482011271918662, 0},
+ {98.27994701888, -0.468388219671283, 0},
+ {98.2368165812487, -0.473360864994116, 0},
+ {98.2055975041556, -0.473435827040847, 0},
+ {98.203322439007, -0.471157683667452, 0},
+ {98.1050303262942, -0.472420872509592, 0},
+ {97.9709896152503, -0.472561628897462, 0},
+ {97.9488217370308, -0.46735535780832, 0},
+ {98.0033502676701, -0.472556963613392, 0},
+ {98.0161374736244, -0.587096991456156, 0},
+ {97.9943456774554, -0.628631009382038, 0},
+ {97.9525189678728, -0.63483894125055, 0},
+ {97.8061496368322, -0.633157534362706, 0},
+ {97.7003390661531, -0.828909031014796, 0},
+ {97.724983167935, -0.844542800122162, 0},
+ {97.7443538154059, -0.858913733860177, 0},
+ {97.6191414778781, -0.855974438581683, 0},
+ {97.4834413121396, -1.11545085585702, 0},
+ {97.4773222593932, -1.09658635270999, 0},
+ {97.5383254337261, -1.09594277394423, 0},
+ {97.5551573382324, -1.09895675662308, 0},
+ {97.5350958459496, -1.09500173528551, 0},
+ {97.5412403103992, 0.446417854391854, 0},
+ {97.5418252863621, 0.505516557891406, 0},
+ {97.5413753802221, 0.676705003572292, 0},
+ {97.5411677526918, 0.770348065317572, 0},
+ {97.5408343591824, 0.929764849766979, 0},
+ {97.540923699245, 1.04723682162357, 0},
+ {97.5403653313081, 1.10414188965539, 0},
+ {97.5408094853908, 1.03831365449574, 0},
+ {97.5403906990924, 1.00780162201144, 0},
+ {97.5396619892149, 0.822473086863329, 0},
+ {97.5397709989751, 0.569032666964328, 0},
+ {97.5394038624592, 0.547287465943295, 0},
+ {97.538526829109, 0.37937963076473, 0},
+ {97.5396654992322, 0.198178175687191, 0},
+ {97.5398749174173, 0.105293445542962, 0},
+ {97.5386767870262, -0.0207658913352128, 0},
+ {97.5396199872831, -0.244875988451801, 0},
+ {97.5396071725892, -0.251365963289705, 0},
+ {97.5380963992963, -0.308716624818148, 0},
+ {97.5396664755957, -0.746669658556963, 0},
+ {97.5399916130916, -1.25205101088598, 0},
+ {97.5394930584791, -1.69828146416848, 0},
+ {97.5402882702247, -2.13188556314009, 0},
+ {97.5397882135068, -2.58917528641824, 0},
+ {97.5400205343593, -3.01615419567944, 0},
+ {97.5409297762092, -3.50982768922685, 0},
+ {97.5420662727424, -3.8900747877137, 0},
+ {97.5425326734153, -4.39097878870808, 0},
+ {97.5430563745932, -4.55338146672557, 0},
+ {97.5431780769944, -4.74131012478211, 0},
+ {97.5434532484764, -4.97832592709932, 0},
+ {97.5442903568838, -5.1948768994637, 0},
+ {97.5437641806556, -5.37361827984867, 0},
+ {97.5440853457111, -5.55721749013549, 0},
+ {97.54507666151, -5.81729056400348, 0},
+ {97.5441331487564, -6.11919188473883, 0},
+ {97.5450405734954, -6.33291213525998, 0},
+ {97.5462643397797, -6.82900621759937, 0},
+ {97.5473429925944, -7.73980654719947, 0},
+ {97.5493396396055, -8.5065018334967, 0},
+ {97.5510956373703, -9.25961467408007, 0},
+ {97.5526035391101, -10.0868136814455, 0},
+ {97.5549024732792, -10.8729957268677, 0},
+ {97.5567920576468, -11.6991853903491, 0},
+ {97.557678017982, -12.4741373791534, 0},
+ {97.5591297153027, -13.294561877265, 0},
+ {97.5605266920394, -14.071133112176, 0},
+ {97.5609437370907, -14.6480555721537, 0},
+ {97.5616232000036, -14.6640246609165, 0},
+ {97.5610233383204, -14.8588242946088, 0},
+ {97.5615506040186, -15.1245855145503, 0},
+ {97.5625687948437, -15.2158290931267, 0},
+ {97.561329423559, -15.270727853614, 0},
+ {97.5621936784244, -15.4280661053449, 0},
+ {97.563395759512, -15.6393339729606, 0},
+ {97.5623206957434, -15.6911928214322, 0},
+ {97.5632911317549, -15.9129010575767, 0},
+ {97.5646059739643, -16.0970216869734, 0},
+ {97.5637712560976, -16.0517983441153, 0},
+ {97.5644267125915, -15.9998605270441, 0},
+ {97.5644368293591, -16.002035263775, 0},
+ {97.5635074807536, -15.8080626120933, 0},
+ {97.5638954456093, -15.8142196175708, 0},
+ {97.5644599517987, -15.8116008553876, 0},
+ {97.5633429180008, -15.5916564904539, 0},
+ {97.5641217215863, -15.5812970534322, 0},
+ {97.5636581227741, -15.4396848346496, 0},
+ {97.5628135470043, -15.402249026775, 0},
+ {97.5634872105506, -15.3987471111976, 0},
+ {97.5627102120985, -15.3936711697409, 0},
+ {97.5624260176621, -15.2397640670376, 0},
+ {97.5624111534188, -15.0392467163638, 0},
+ {97.5619915334021, -14.7875996029978, 0},
+ {97.5613656143224, -14.5859294320658, 0},
+ {97.5618542339483, -14.4094970705123, 0},
+ {97.5613741374529, -14.1869905199776, 0},
+ {97.5611870227356, -13.9423230148675, 0},
+ {97.560880817861, -13.7512661879245, 0},
+ {97.5609109731657, -13.5998877559171, 0},
+ {97.5611456227027, -13.4153824067425, 0},
+ {97.561973701118, -13.390224295069, 0},
+ {97.5619205623208, -13.1528612099345, 0},
+ {97.5611720429741, -12.9607941071151, 0},
+ {97.5622203379378, -12.9501401868067, 0},
+ {97.5627764693317, -12.7796627039379, 0},
+ {97.5614799317095, -12.5900827088489, 0},
+ {97.562419817031, -12.5485565779202, 0},
+ {97.562373521002, -12.311037192305, 0},
+ {97.5622314035323, -12.2995098723846, 0},
+ {97.5638193379423, -12.2965342483469, 0},
+ {97.563497689181, -12.2974724984818, 0},
+ {97.5624501880715, -12.2982235296902, 0},
+ {97.5637551288289, -12.2981455674761, 0},
+ {97.5632102107546, -12.2982996088278, 0},
+ {97.5625022854287, -12.2987309121944, 0},
+ {97.5633067863769, -12.2999624489391, 0},
+ {97.5626467147334, -12.2995087828712, 0},
+ {97.562859996389, -12.2997040282638, 0},
+ {97.563290434647, -12.270974447515, 0},
+ {97.5630835976101, -12.046951068549, 0},
+ {97.5618006479709, -11.8386856226552, 0},
+ {97.5615403630578, -11.5574893674224, 0},
+ {97.5601646306564, -11.3011954916629, 0},
+ {97.5600346286456, -11.117822485969, 0},
+ {97.5599415432799, -10.8732022911161, 0},
+ {97.5591535423743, -10.6309882765389, 0},
+ {97.5590596181552, -10.4699745070563, 0},
+ {97.5586992835083, -10.2971253548635, 0},
+ {97.5581043054694, -9.5715387307488, 0},
+ {97.5568673258382, -8.72338162245041, 0},
+ {97.5564090480457, -7.89565130742686, 0},
+ {97.5552578327314, -7.1167889771248, 0},
+ {97.554328388621, -6.35546229365848, 0},
+ {97.5537829924758, -5.57030372533885, 0},
+ {97.5525273727191, -4.88911397431397, 0},
+ {97.5512919722435, -4.09554162722254, 0},
+ {97.5495022919283, -3.40869384051218, 0},
+ {97.5480751982515, -2.83732831433125, 0},
+ {97.548347089155, -2.36549165457458, 0},
+ {97.5470315112392, -1.99165765647783, 0},
+ {97.5473232736106, -1.49785674100074, 0},
+ {97.5467000647064, -1.11070557259326, 0},
+ {97.5478337969458, -0.606720772456272, 0},
+ {97.5454041629597, -0.252881712008641, 0},
+ {97.5407485387077, 0.228424549418201, 0},
+ {97.5379026426857, 0.636909696535602, 0},
+ {97.5360248807767, 1.10392220398906, 0},
+ {97.5346240096108, 1.4685187423204, 0},
+ {97.5340632637987, 1.53941518393433, 0},
+ {97.5339230073966, 1.72914897803288, 0},
+ {97.5332505864151, 1.90206651332781, 0},
+ {97.5325939317362, 2.09214316676201, 0},
+ {97.5321087311933, 2.31770688230734, 0},
+ {97.5315582560304, 2.48249690871987, 0},
+ {97.5303808490541, 2.60740246696708, 0},
+ {97.5296542325777, 2.75950356635922, 0},
+ {97.5278279341681, 2.91143208296633, 0},
+ {97.525555262865, 3.15039395288298, 0},
+ {97.5237221860297, 3.4190987340405, 0},
+ {97.5225450036122, 4.2562835843056, 0},
+ {97.5223014924073, 4.80231232830381, 0},
+ {97.5234398185849, 5.47871054226093, 0},
+ {97.5225123907032, 6.20583788711885, 0},
+ {97.5214388833905, 6.92987282100135, 0},
+ {97.5211208760267, 7.62508900778254, 0},
+ {97.5224149275154, 8.22223144424134, 0},
+ {97.5236953962159, 8.90307545097666, 0},
+ {97.5235708589166, 9.39192952365641, 0},
+ {97.523766153365, 9.75429368469583, 0},
+ {97.523294737042, 10.1695470263978, 0},
+ {97.5233955338892, 10.5094147655436, 0},
+ {97.5245657897415, 10.9566307623119, 0},
+ {97.5254256722269, 11.2551271216517, 0},
+ {97.5281257298484, 11.6911346193541, 0},
+ {97.5289031647509, 12.0300323441391, 0},
+ {97.5302853938016, 12.4537485735724, 0},
+ {97.5315138395414, 12.7933244068914, 0},
+ {97.5306299779, 13.1693016090367, 0},
+ {97.5319932219257, 14.0566283109859, 0},
+ {97.5331548092559, 14.7261291487752, 0},
+ {97.5364472886887, 15.45484706502, 0},
+ {97.5381415187609, 16.190926439076, 0},
+ {97.5381411516246, 16.938646340706, 0},
+ {97.5405811771788, 17.7186022237533, 0},
+ {97.543549873444, 18.5091464801616, 0},
+ {97.5454080281073, 19.2744696561651, 0},
+ {97.5476101325992, 19.9857521615508, 0},
+ {97.5489735688464, 20.9150936846637, 0},
+ {97.5520028115108, 21.8896770468647, 0},
+ {97.5547189203368, 22.7593263472657, 0},
+ {97.556537029516, 23.8002883126927, 0},
+ {97.5593579021582, 24.8591307463925, 0},
+ {97.5631472005207, 25.9553938092935, 0},
+ {97.5652252794803, 26.8388872134126, 0},
+ {97.5678641457832, 27.7835356553636, 0},
+ {97.5712215426302, 28.8844213586566, 0},
+ {97.5740953804457, 29.9751346513479, 0},
+ {97.574881447027, 30.4622345162831, 0},
+ {97.5754531188812, 30.8989256939508, 0},
+ {97.5749968786714, 31.2354961124339, 0},
+ {97.5769042461962, 31.6883158548818, 0},
+ {97.5767115574617, 32.0636050054166, 0},
+ {97.5763024811771, 32.5047184189538, 0},
+ {97.5757779519359, 32.8350769926649, 0},
+ {97.5741895006697, 33.2762478476532, 0},
+ {97.5728642235541, 33.630875490762, 0},
+ {97.5732599121999, 34.0861729808983, 0},
+ {97.5724220454589, 34.3994088594624, 0},
+ {97.5736260423517, 34.9801507762674, 0},
+ {97.5730484893762, 35.5477990955703, 0},
+ {97.5712084049208, 36.0113045699754, 0},
+ {97.5684008278541, 36.5783728029503, 0},
+ {97.5652504298201, 37.0683963365605, 0},
+ {97.5630270620142, 37.576243226511, 0},
+ {97.5611812358136, 38.1448916874451, 0},
+ {97.5584334111181, 38.6189642161025, 0},
+ {97.5565780852323, 39.1721026652852, 0},
+ {97.5515399421647, 39.8319737872484, 0},
+ {97.54565951829, 40.4361286287181, 0},
+ {97.5415452647736, 41.0488694960028, 0},
+ {97.5375936285635, 41.716538333886, 0},
+ {97.5324739844424, 42.448996756601, 0},
+ {97.5252429129982, 43.0445773613672, 0},
+ {97.5161199566794, 43.6848613797867, 0},
+ {97.5069276723386, 44.3015783054567, 0},
+ {97.4999104826923, 44.9962489412257, 0},
+ {97.4908315306962, 45.6821323526837, 0},
+ {97.4792221562397, 46.2325582061528, 0},
+ {97.4647245744917, 46.8393225307794, 0},
+ {97.4503381577507, 47.4844617154025, 0},
+ {97.4373438331331, 48.0991544853975, 0},
+ {97.4234752092969, 48.6780226028577, 0},
+ {97.4056706053194, 49.2725647511919, 0},
+ {97.3863327201549, 49.9229190054076, 0},
+ {97.3660436717934, 50.5379436921125, 0},
+ {97.3443668063639, 51.0676357438146, 0},
+ {97.3238142291525, 51.6870218649991, 0},
+ {97.3010710878869, 52.6058400098684, 0},
+ {97.2770054954185, 53.393017350333, 0},
+ {97.2544483655612, 54.3147946184408, 0},
+ {97.2295438221414, 55.2784514299279, 0},
+ {97.2020862991955, 56.2245731277856, 0},
+ {97.1770758026125, 57.2156764703702, 0},
+ {97.1496620212376, 58.1338767721316, 0},
+ {97.1198302286426, 59.101235558135, 0},
+ {97.0890266949768, 59.982174433041, 0},
+ {97.0569953085975, 60.839352966306, 0},
+ {97.021268853171, 61.3647461900232, 0},
+ {96.9810346337188, 61.3759245404264, 0},
+ {96.9402837161891, 61.5329317045416, 0},
+ {96.8979583405581, 61.5525731826471, 0},
+ {96.8549721498275, 61.6981741971133, 0},
+ {96.8088727796091, 61.7258468189382, 0},
+ {96.76394120213, 61.8814628439264, 0},
+ {96.7158618814138, 61.9524486803948, 0},
+ {96.6680654676523, 62.0802379517919, 0},
+ {96.6189840965167, 62.1993478753744, 0},
+ {96.5858802781282, 62.2023899217086, 0},
+ {96.6432628616822, 62.2026014621894, 0},
+ {96.6861070251757, 62.8129186557003, 0},
+ {96.7254242718566, 63.5920426981849, 0},
+ {96.7790319639342, 64.5260981000283, 0},
+ {96.7612654166856, 65.4655199103971, 0},
+ {96.7909733466683, 66.3525319191919, 0},
+ {96.8070716252217, 67.2993544284319, 0},
+ {96.7912645953155, 68.1794896422707, 0},
+ {96.7733176436818, 69.1080732450088, 0},
+ {96.7941750239001, 69.7333204586371, 0},
+ {96.7969474549893, 70.2824599081679, 0},
+ {96.7943540376132, 70.8181148977767, 0},
+ {96.8732780794411, 71.3976633113487, 0},
+ {97.0110243711362, 71.891896404337, 0},
+ {97.0734304911803, 72.44881736732, 0},
+ {97.158089788796, 73.0102294479181, 0},
+ {97.2306186112648, 73.5057818820039, 0},
+ {97.2876565850261, 74.0842631592396, 0},
+ {97.4374745036117, 74.6034656330113, 0},
+ {97.530802269675, 75.060333045448, 0},
+ {97.4871526483123, 75.2278023043587, 0},
+ {97.4356827669586, 75.4822859935045, 0},
+ {97.5067328808439, 75.6847508501318, 0},
+ {97.6747780854257, 75.8398744924017, 0},
+ {97.7433173515982, 76.051245770604, 0},
+ {97.6782845234959, 76.3101053413275, 0},
+ {97.636394736641, 76.509652390181, 0},
+ {97.7473975750296, 76.6896289780333, 0},
+ {97.8832247989229, 76.9166756787792, 0},
+ {97.8972859566827, 77.1668595950234, 0},
+ {97.8367030041198, 77.3541705927143, 0},
+ {97.8184811450553, 77.3532915855256, 0},
+ {97.8428284048073, 77.5065143118958, 0},
+ {97.8391855696687, 77.5979256860212, 0},
+ {97.8293007883133, 77.718954584417, 0},
+ {97.8412198099061, 77.9492913547199, 0},
+ {97.837532362595, 77.9802896341114, 0},
+ {97.8372411455934, 78.1808408859587, 0},
+ {97.8400585828554, 78.2007323279534, 0},
+ {97.837914265302, 78.3728924518193, 0},
+ {97.8421082006585, 78.3734445342299, 0},
+ {97.8407543723421, 78.5962517215528, 0},
+ {97.8385771090712, 78.6093133136458, 0},
+ {97.8450059762743, 78.8448045066811, 0},
+ {97.8391422977706, 78.8560241363725, 0},
+ {97.8415698174871, 79.0463842736345, 0},
+ {97.8438097368911, 79.0508662294463, 0},
+ {97.8420479534477, 79.2254622646882, 0},
+ {97.8425196962331, 79.2274716596275, 0},
+ {97.8433153838073, 79.4322061847009, 0},
+ {97.8437989965774, 79.443807800334, 0},
+ {97.8443035021134, 79.6411711985876, 0},
+ {97.8431643147835, 79.701117881156, 0},
+ {97.847786028202, 79.7937816201589, 0},
+ {97.9230061286772, 79.9068964983825, 0},
+ {98.0770876706796, 79.9299089690221, 0},
+ {98.1468183888896, 80.0930422818691, 0},
+ {98.0942751206831, 80.0979011309367, 0},
+ {98.0492176324574, 80.3200228187673, 0},
+ {98.0636104158604, 80.3303150147903, 0},
+ {98.0745738826871, 80.3297246009596, 0},
+ {98.0618243045354, 80.5522249706324, 0},
+ {98.0652204210203, 80.5866541681331, 0},
+ {98.0698774544083, 80.61474221954, 0},
+ {98.0674060164791, 80.7754161648744, 0},
+ {98.0665555657618, 80.778239652911, 0},
+ {98.0650563294409, 80.9454464412413, 0},
+ {98.0687408910518, 80.9454903537766, 0},
+ {98.0682447467728, 81.0715976433755, 0},
+ {98.0636743581337, 81.1502601224171, 0},
+ {98.0709026739087, 81.1546572242876, 0},
+ {98.0706304219199, 81.2691718251673, 0},
+ {98.0663755655788, 81.4091755792837, 0},
+ {98.0709972704709, 81.4134169265795, 0},
+ {98.0723040686894, 81.6238194003874, 0},
+ {98.0695445094491, 81.6170508484628, 0},
+ {98.070552930273, 81.6240784959707, 0},
+ {98.0733202847597, 81.7981875789999, 0},
+ {98.0737414940762, 81.7994774596287, 0},
+ {98.0714340826382, 81.9550211741143, 0},
+ {98.074297072391, 82.0289845918233, 0},
+ {98.0753778033144, 82.0314919345066, 0},
+ {98.0714876434252, 82.0301009188426, 0},
+ {98.0730805985034, 82.1123829752631, 0},
+ {98.0762227856287, 82.2772735125996, 0},
+ {98.0745960383969, 82.2770576379185, 0},
+ {98.0741079593901, 82.2775179960943, 0},
+ {98.0763988534422, 82.2792975808576, 0},
+ {98.0763863175397, 82.2777020083888, 0},
+ {98.0985324858502, 82.279927169506, 0},
+ {98.2503112451492, 82.2821051204306, 0},
+ {98.3920175939889, 82.2794192004389, 0},
+ {98.3821471825133, 82.2759734018761, 0},
+ {98.3109914948682, 82.4628761692463, 0},
+ {98.2922991913619, 82.4733513618854, 0},
+ {98.3196667755801, 82.4691995954274, 0},
+ {98.3187222749643, 82.4745469767186, 0},
+ {98.3061022139275, 82.6431147282886, 0},
+ {98.3164466411045, 82.6425491936533, 0},
+ {98.3162612184645, 82.6479559344955, 0},
+ {98.3113989144339, 82.6502355591813, 0},
+ {98.3156152289874, 82.8669275708683, 0},
+ {98.3139007707462, 82.8669877899089, 0},
+ {98.3165140028413, 82.8673490816759, 0},
+ {98.3132091441547, 82.8693274394796, 0},
+ {98.313649885319, 83.1293458219362, 0},
+ {98.3178810605277, 83.1200627958464, 0},
+ {98.3140591386859, 83.1227185266207, 0},
+ {98.3127121203874, 83.1242524294413, 0},
+ {98.3161534208512, 83.1255625146686, 0},
+ {98.3137728362429, 83.1266354328243, 0},
+ {98.3118789309402, 83.1295326053016, 0},
+ {98.3139838094777, 83.1316203301113, 0},
+ {98.3162479653593, 83.3136756803204, 0},
+ {98.3137676448337, 83.3283776052891, 0},
+ {98.3209018571103, 83.3283520363259, 0},
+ {98.4321848799806, 83.3297550757172, 0},
+ {98.5682331231277, 83.3291548811764, 0},
+ {98.5748601367023, 83.3271072000356, 0},
+ {98.5086721698962, 83.5082222947308, 0},
+ {98.4922100285892, 83.5121222951249, 0},
+ {98.5180651887682, 83.509966491122, 0},
+ {98.5140582928278, 83.5137692791343, 0},
+ {98.5032380462804, 83.5148752698663, 0},
+ {98.5144071184909, 83.5460428411838, 0},
+ {98.5117813570884, 83.7499717464241, 0},
+ {98.5102745381962, 83.7472394915586, 0},
+ {98.5119855572307, 83.7471375061504, 0},
+ {98.5079543511274, 83.750724947948, 0},
+ {98.5132427876377, 83.7808937146799, 0},
+ {98.5111080973167, 84.0073592648045, 0},
+ {98.5087139876308, 84.0048278401163, 0},
+ {98.5148723811304, 84.006249955048, 0},
+ {98.511424029715, 84.0074338275205, 0},
+ {98.5103503821766, 84.0108289245934, 0},
+ {98.5136915614257, 84.011794857994, 0},
+ {98.5116966802452, 84.011914097291, 0},
+ {98.5140033692873, 84.0151896823782, 0},
+ {98.6051180721196, 84.018994548809, 0},
+ {98.7359303213586, 84.0164042994079, 0},
+ {98.7597920673177, 84.0171729890553, 0},
+ {98.7034038100438, 84.0236708093809, 0},
+ {98.6820701661961, 84.0226541288931, 0},
+ {98.7040041197876, 84.0238796775544, 0},
+ {98.701320841686, 84.0262306735007, 0},
+ {98.6903779453876, 84.0270590841787, 0},
+ {98.6997397928547, 84.0285206089162, 0},
+ {98.6964339873079, 84.0294367852826, 0},
+ {98.6941305082708, 84.0318353362983, 0},
+ {98.7193792073934, 84.0334912709531, 0},
+ {98.8604826309356, 84.033057509807, 0},
+ {98.9908855822775, 84.034583565316, 0},
+ {98.9816060037283, 84.0307028876339, 0},
+ {98.9155174851085, 84.0384684576038, 0},
+ {98.9017856914531, 84.0386909547976, 0},
+ {98.9241049940605, 84.0352546964833, 0},
+ {98.9214931933992, 84.221102681332, 0},
+ {98.9112077899527, 84.2258911233838, 0},
+ {98.9218824154058, 84.2249291128456, 0},
+ {98.9193559044803, 84.2281004055533, 0},
+ {98.9169764819064, 84.3937689153555, 0},
+ {98.9204817315322, 84.3889168486903, 0},
+ {98.9179466297281, 84.3913046247997, 0},
+ {98.920269622695, 84.3913782180508, 0},
+ {98.9190705677639, 84.5972831079752, 0},
+ {98.917832451812, 84.598195271431, 0},
+ {98.9214702183785, 84.5975391202297, 0},
+ {98.9172231200661, 84.6005371956784, 0},
+ {98.9193653387099, 84.8515888804863, 0},
+ {98.9217826094388, 84.8541880839793, 0},
+ {98.9198060262117, 84.8548089206241, 0},
+ {98.9196038364626, 84.856859634134, 0},
+ {98.9197787101862, 84.8565121395861, 0},
+ {98.9218434494406, 85.0544568353864, 0},
+ {98.9201968788197, 85.0629906654485, 0},
+ {98.9193549893668, 85.0620588745192, 0},
+ {98.9209815080928, 85.0625216005253, 0},
+ {98.9183235660806, 85.0647713844734, 0},
+ {98.9181382491602, 85.1513475947851, 0},
+ {98.9203693337093, 85.2450481901406, 0},
+ {98.9190321025155, 85.2486412135396, 0},
+ {98.9195605834745, 85.2482354110073, 0},
+ {98.9200591887169, 85.2508453445266, 0},
+ {98.9197477397081, 85.252239581346, 0},
+ {98.9186545144664, 85.2510866975083, 0},
+ {98.9180991563004, 85.2536287966943, 0},
+ {98.919203248961, 85.2537822163917, 0},
+ {98.9190005277352, 85.2541420416346, 0},
+ {98.9181632483947, 85.2574794880647, 0},
+ {98.9442301195089, 85.258798805488, 0},
+ {99.098756201562, 85.2575379900455, 0},
+ {99.2386025180566, 85.2586660097611, 0},
+ {99.2202423440763, 85.2557566076497, 0},
+ {99.1550688363585, 85.2619469386426, 0},
+ {99.2410520750754, 85.2644572148187, 0},
+ {99.3713883929656, 85.2618712901856, 0},
+ {99.3901664464726, 85.2582833141231, 0},
+ {99.33743684243, 85.262506278327, 0},
+ {99.3219372552222, 85.2648024790345, 0},
+ {99.339701654057, 85.2608549861111, 0},
+ {99.3363673613771, 85.2629400405149, 0},
+ {99.3282255703838, 85.2649490486692, 0},
+ {99.3339167625762, 85.2644674648993, 0},
+ {99.3350865629837, 85.2650231812825, 0},
+ {99.3336264857086, 85.2984536747351, 0},
+ {99.3330468104848, 85.4997103267159, 0},
+ {99.335224527355, 85.4948347894498, 0},
+ {99.3378101063223, 85.495645138341, 0},
+ {99.3317175212919, 85.4966778533042, 0},
+ {99.3331920979533, 85.4958372948214, 0},
+ {99.3376764671043, 85.4978437390538, 0},
+ {99.332942064595, 85.4990417569949, 0},
+ {99.3322749511431, 85.49936689351, 0},
+ {-175.522277272533, 5.10297055958002, 0},
+ {-175.52324894054, 5.10389909137054, 0},
+ {-175.523717913401, 5.10478646245912, 0},
+ {-175.524609371784, 5.10512139033401, 0},
+ {-175.524558236605, 5.1046839888674, 0},
+ {-175.524515550008, 5.10415638703121, 0},
+ {-175.526376379828, 5.1048879217834, 0},
+ {-175.526921517723, 5.10551143283362, 0},
+ {-175.525574554951, 5.10559011560953, 0},
+ {-175.52610412593, 5.10518986023786, 0},
+ {-175.524292651537, 5.10425042926163, 0},
+ {-175.524791605307, 5.10436183016611, 0},
+ {-175.525118127022, 5.10423253749915, 0},
+ {-175.52651641555, 5.1034970837113, 0},
+ {-175.526556641738, 5.1036380317261, 0},
+ {-175.526024565005, 5.10316194291026, 0},
+ {-175.525994660533, 5.10205434270075, 0},
+ {-175.525996855286, 5.1020777003559, 0},
+ {-175.52573231165, 5.10165392999926, 0},
+ {-175.524910494583, 5.10263377895412, 0},
+ {-175.523828656693, 5.10187735511851, 0},
+ {-175.522906137025, 5.10163281233234, 0},
+ {-175.522501020274, 5.10012905609228, 0},
+ {-175.522576835695, 5.09975208161086, 0},
+ {-175.52413549014, 5.09884434597173, 0},
+ {-175.525104942478, 5.09876253463594, 0},
+ {-175.525087126268, 5.09949177803672, 0},
+ {-175.526339356681, 5.0978810117018, 0},
+ {-175.79399293983, 4.82444130327769, 0},
+ {-177.286966827324, 4.19101349984947, 0},
+ {178.817921960874, 3.56389689624753, 0},
+ {176.059701244601, 3.05635126721108, 0},
+ {172.671167461042, 2.59157662378651, 0},
+ {169.644271588111, 2.22108025029672, 0},
+ {167.191907058247, 1.58985137854675, 0},
+ {165.205026481501, 1.12702381883684, 0},
+ {163.304632768615, 0.522057181483624, 0},
+ {161.146718876492, -0.0289302406548819, 0},
+ {158.580638822679, -0.0863189886818696, 0},
+ {155.760019895632, -0.335468462153008, 0},
+ {152.972310671342, -0.437215308543091, 0},
+ {150.427578405491, -0.665535475160304, 0},
+ {148.140861722125, -0.72987494553472, 0},
+ {145.958016162294, -0.925182451411603, 0},
+ {143.675928715207, -1.02688524005379, 0},
+ {141.201044952761, -1.25912060020333, 0},
+ {138.571437849154, -1.35557538973689, 0},
+ {135.931706303043, -1.42683467798256, 0},
+ {133.410727978101, -1.4780332566458, 0},
+ {131.032938388835, -1.39182385750363, 0},
+ {128.728275461705, -1.45286029319524, 0},
+ {126.401006859567, -1.35351334426447, 0},
+ {123.981796842057, -1.37522278143986, 0},
+ {121.472722588776, -1.28217491341672, 0},
+ {118.916587857716, -1.26245359240465, 0},
+ {116.367527689523, -1.14630011027995, 0},
+ {113.865406056031, -1.0348773925979, 0},
+ {111.473495846892, -0.968891762673093, 0},
+ {109.346160426558, -0.800050900167498, 0},
+ {107.510459215286, -0.817188103325126, 0},
+ {105.959539517363, -0.66947696053478, 0},
+ {104.582174979992, -0.673660498426561, 0},
+ {103.2320087701, -0.480552328058217, 0},
+ {101.839691316455, -0.47577665797703, 0},
+ {100.301198201088, -0.259764487794838, 0},
+ {98.5298007603488, -0.257521768208307, 0},
+ {96.5690460378692, -0.0805101865212501, 0},
+ {94.6889057776824, -0.0963283179239396, 0},
+ {93.3124767396937, -0.090003914059398, 0},
+ {92.4451459783571, 0.0825716484642598, 0},
+ {92.0569435494767, 0.0781212842799849, 0},
+ {92.1024154664276, 0.0653052950725299, 0},
+ {92.2931846777996, 0.0600011934095482, 0},
+ {92.4404885633096, 0.0573831517479088, 0},
+ {92.4552971064207, 0.054581662215725, 0},
+ {92.4090050685181, 0.0640634617213167, 0},
+ {92.3785968328074, 0.0590635276214592, 0},
+ {92.3876297495049, 0.0582466992588137, 0},
+ {92.3974816696501, 0.0623538352966739, 0},
+ {92.3952965806378, 0.0601812122246979, 0},
+ {92.5452267860353, 0.0612422965515637, 0},
+ {92.9502431966074, 0.0670089133558307, 0},
+ {93.5927798375901, 0.0707733832057175, 0},
+ {94.2982491474272, 0.0693341771980295, 0},
+ {94.9118267476023, 0.0794816951853866, 0},
+ {95.3875704738048, 0.0814001938058376, 0},
+ {95.7548434572071, 0.0831116530230698, 0},
+ {96.1034449699085, 0.0862822535613945, 0},
+ {96.4139637424738, 0.0920188529748937, 0},
+ {96.5803191718638, 0.0903718013806054, 0},
+ {96.6531974507032, 0.0903860776959928, 0},
+ {96.7359919984103, 0.0931428884804762, 0},
+ {96.8966563802436, 0.0915590146636224, 0},
+ {97.1225073840085, 0.095680762645039, 0},
+ {97.3625889736705, 0.0976975391606055, 0},
+ {97.5812770101329, 0.100156673008307, 0},
+ {97.7629999377491, 0.101303849428387, 0},
+ {97.8173117413677, 0.10085864051874, 0},
+ {97.7528827854426, 0.103103803290163, 0},
+ {97.6756381287578, 0.0998171502681367, 0},
+ {97.6578694524212, 0.100565213672307, 0},
+ {77.3567202372625, 25.3027852989555, 0},
+ {77.3218495907347, 25.2959975536235, 0},
+ {77.1665667744142, 25.2964571073349, 0},
+ {76.9206632623671, 25.1450045265064, 0},
+ {76.7133094532473, 25.1258964114507, 0},
+ {76.6136313259038, 25.1333926777374, 0},
+ {76.6121080861701, 25.1324272015094, 0},
+ {76.5826372911541, 25.127700707109, 0},
+ {76.550606108933, 25.1345938798998, 0},
+ {76.4567963877777, 25.1301933629338, 0},
+ {76.2922156019251, 25.1307124363418, 0},
+ {76.214169012756, 25.1292795718969, 0},
+ {76.1279864068933, 25.1286348120156, 0},
+ {76.0667506401275, 25.1294261319428, 0},
+ {76.032350613355, 25.128358621327, 0},
+ {75.9151640014697, 25.1295777309313, 0},
+ {75.8417670206182, 25.1284969873693, 0},
+ {75.8748145660902, 25.1284405611191, 0},
+ {75.8984855768866, 25.1276585178051, 0},
+ {75.8778540724129, 25.127293295726, 0},
+ {75.8068704438286, 25.1305834531281, 0},
+ {75.6879172943662, 25.1263783020574, 0},
+ {75.5804827573333, 25.1310062884801, 0},
+ {75.4529811515487, 25.1278480526668, 0},
+ {75.376242111622, 25.1307400188874, 0},
+ {75.2584514668478, 24.9993168540842, 0},
+ {75.1765500512653, 24.9644500181642, 0},
+ {75.0660327591222, 24.9618501572226, 0},
+ {75.0122581011832, 24.9634311005248, 0},
+ {75.0301186619464, 24.9627552369431, 0},
+ {74.9586195113154, 24.9613350823814, 0},
+ {74.8109337274679, 24.9652205333976, 0},
+ {74.6001906942923, 24.95845568882, 0},
+ {74.4338078794774, 24.966998983299, 0},
+ {74.3390528176181, 24.9587200831992, 0},
+ {74.2828321086165, 24.9680520655451, 0},
+ {74.2201775480479, 24.9613268310971, 0},
+ {74.0911066083821, 24.9649657914652, 0},
+ {73.9863272139552, 24.967819245433, 0},
+ {73.9403451097268, 24.9607457763097, 0},
+ {73.8523869775189, 24.9651974087427, 0},
+ {73.7146096050005, 24.965590612462, 0},
+ {73.5348657952459, 24.9632754170655, 0},
+ {73.4007547235826, 24.965195502814, 0},
+ {73.344770382392, 24.9624838378793, 0},
+ {73.3137741163531, 24.8039730190383, 0},
+ {73.245793553647, 24.7430244149252, 0},
+ {73.0933346070249, 24.7486706536323, 0},
+ {72.9326974803092, 24.748413418934, 0},
+ {72.8695125798932, 24.7446018060871, 0},
+ {72.7924633399171, 24.749519617723, 0},
+ {72.7220408333274, 24.7493762653519, 0},
+ {72.5818361743671, 24.7460168977791, 0},
+ {72.4769702438044, 24.7501672711223, 0},
+ {72.3780392461352, 24.7457693825099, 0},
+ {72.333652157925, 24.7501776705356, 0},
+ {72.2297052995729, 24.746188266404, 0},
+ {72.1300320283822, 24.752176676322, 0},
+ {72.1335298037414, 24.7454622352675, 0},
+ {72.1448351325178, 24.750900488954, 0},
+ {72.0151389588427, 24.7509466344078, 0},
+ {71.8664610520104, 24.7491062574525, 0},
+ {71.7333691827038, 24.7514170239715, 0},
+ {71.6797839915075, 24.7504503026658, 0},
+ {71.6923474979351, 24.7530719367788, 0},
+ {71.617780509042, 24.7479221332279, 0},
+ {71.5187837020068, 24.7509519520742, 0},
+ {71.3503765363439, 24.7495363041332, 0},
+ {71.2419792915455, 24.7490785122019, 0},
+ {71.2733282188518, 24.749895541954, 0},
+ {71.2243790761499, 24.7511335784194, 0},
+ {71.1002607524213, 24.7522296544767, 0},
+ {70.9163624730086, 24.7524077816133, 0},
+ {70.7904249883065, 24.7507784810108, 0},
+ {70.7516333002362, 24.7511543585268, 0},
+ {70.7330997046727, 24.7526339312547, 0},
+ {70.6499727099878, 24.7535045341675, 0},
+ {70.4784427776486, 24.7525319106904, 0},
+ {70.406012612516, 24.7518506151519, 0},
+ {70.438573449595, 24.7533730649506, 0},
+ {70.3623877922998, 24.7510021049295, 0},
+ {70.229734268259, 24.7571855458409, 0},
+ {70.0433243815996, 24.7512471987582, 0},
+ {69.9582879551549, 24.7550272386951, 0},
+ {69.9436569885212, 24.7562329192389, 0},
+ {69.9224112123927, 24.7553174123486, 0},
+ {69.8152206076541, 24.7568141931776, 0},
+ {69.6329069017522, 24.756135784046, 0},
+ {69.5753127915329, 24.7566379716777, 0},
+ {69.623392717928, 24.7559629497193, 0},
+ {69.5429893777857, 24.7558898370691, 0},
+ {69.4075681274194, 24.7604030370784, 0},
+ {69.2297767558688, 24.7536904276929, 0},
+ {69.1387513717679, 24.7580281928717, 0},
+ {69.1196047438252, 24.7591300984343, 0},
+ {69.0862224351823, 24.75847036824, 0},
+ {68.9824572702493, 24.7613877166519, 0},
+ {68.797158609004, 24.7596887440802, 0},
+ {68.7318674358194, 24.7601663617857, 0},
+ {68.7785802973257, 24.7591326129837, 0},
+ {68.7005712147005, 24.7589679482415, 0},
+ {68.5756461846676, 24.7631018708721, 0},
+ {68.4194256484502, 24.7583160891357, 0},
+ {68.328298186424, 24.7608680857882, 0},
+ {68.3221920185888, 24.7626257765085, 0},
+ {68.2765441713953, 24.7609551431962, 0},
+ {68.1945885147815, 24.7624042067553, 0},
+ {68.0110295506891, 24.7611903271418, 0},
+ {67.9063230239302, 24.7636174534275, 0},
+ {67.9424047427899, 24.7596559177004, 0},
+ {67.8812993840982, 24.7627780423517, 0},
+ {67.7657131270449, 24.7659667576041, 0},
+ {67.6287015432294, 24.7626477359024, 0},
+ {67.5033915591475, 24.7644195649395, 0},
+ {67.4910681393993, 24.7654733175665, 0},
+ {67.44319767067, 24.7644319600701, 0},
+ {67.3818610292507, 24.7638612796782, 0},
+ {67.2331014028972, 24.765987433787, 0},
+ {67.0774706407938, 24.766030505607, 0},
+ {67.0686811253225, 24.7615546886654, 0},
+ {67.0345630103788, 24.7652973249269, 0},
+ {66.9407772355681, 24.7639671245365, 0},
+ {66.8532061780895, 24.7656550551963, 0},
+ {66.7142740062405, 24.7633715067435, 0},
+ {66.667351787316, 24.7641446820992, 0},
+ {66.6585900128576, 24.766424726492, 0},
+ {66.5873090828427, 24.761419448758, 0},
+ {66.5422274510325, 24.7639487876727, 0},
+ {66.5605962259544, 24.7638157332177, 0},
+ {66.5693470241111, 24.7609177512074, 0},
+ {66.4674625751952, 24.7661269748674, 0},
+ {66.2974893398387, 24.7609747962862, 0},
+ {66.2392789232465, 24.7616419295301, 0},
+ {66.1903990398709, 24.762028775272, 0},
+ {66.113310676595, 24.7619472766347, 0},
+ {66.0706361663235, 24.7619253542351, 0},
+ {65.9485887996647, 24.7604738150164, 0},
+ {65.8497537530691, 24.7635281604267, 0},
+ {65.8753191471795, 24.7611871703645, 0},
+ {65.9186499842347, 24.7618655045573, 0},
+ {65.8553848347945, 24.7642174420045, 0},
+ {65.7028374761552, 24.7621138936269, 0},
+ {65.6170503441292, 24.761111707409, 0},
+ {65.519910550398, 24.7605503690273, 0},
+ {65.4676271799923, 24.7649189003233, 0},
+ {65.3823048651651, 24.7626527595605, 0},
+ {65.241946235779, 24.7623549845357, 0},
+ {65.151773933851, 24.7667084796531, 0},
+ {65.0615269355481, 24.7632777015373, 0},
+ {65.0491426570109, 24.8120795457626, 0},
+ {64.9914012153346, 24.8769992162156, 0},
+ {64.8878183056016, 24.8784535383157, 0},
+ {64.7797149495734, 24.8803194668198, 0},
+ {64.6422676306956, 24.879480136095, 0},
+ {64.5881207011966, 24.8824396152526, 0},
+ {64.4909118859474, 24.8792050295393, 0},
+ {64.4115736711905, 24.8809709906301, 0},
+ {64.3171095051737, 24.8814974759416, 0},
+ {64.2182913560741, 24.8807024986, 0},
+ {64.2183919922289, 24.8796059513343, 0},
+ {64.1684530194979, 24.8833909998339, 0},
+ {64.066195358567, 24.8833494968057, 0},
+ {64.0321841417952, 24.8821038104829, 0},
+ {63.9693039384057, 25.0246578905999, 0},
+ {63.8464420367681, 25.0370392228544, 0},
+ {63.7982370441443, 25.0378458557186, 0},
+ {63.7475840672444, 25.0397688724264, 0},
+ {63.6163467720523, 25.0388615193039, 0},
+ {63.5535936255846, 25.0431644302332, 0},
+ {63.5935720790013, 25.0377489263831, 0},
+ {63.594506485024, 25.0397202172595, 0},
+ {63.4591506899681, 25.0453161610736, 0},
+ {63.3471463083214, 25.0391488233821, 0},
+ {63.3718066922523, 25.1705560223593, 0},
+ {63.3434504733987, 25.2002376181943, 0},
+ {63.2444952433782, 25.1978468529049, 0},
+ {63.2025905022354, 25.1898788319857, 0},
+ {63.1754189816523, 25.1993609225724, 0},
+ {63.0489299395088, 25.1988815811729, 0},
+ {62.959861933069, 25.198056329306, 0},
+ {62.9737661235996, 25.1926928089598, 0},
+ {62.8955215459128, 25.2017837688045, 0},
+ {62.7584770407869, 25.2033344017464, 0},
+ {62.7130922446791, 25.1927248668688, 0},
+ {62.6608716375848, 25.4023623451648, 0},
+ {62.5776854582213, 25.4019938521407, 0},
+ {62.5594681490592, 25.4003397685579, 0},
+ {62.508540804745, 25.399874755859, 0},
+ {62.3849843553753, 25.4016980972259, 0},
+ {62.3372267688952, 25.40674344548, 0},
+ {62.3519497071585, 25.3984744867013, 0},
+ {62.2425342716456, 25.4018306864254, 0},
+ {62.1162279891149, 25.4101029495909, 0},
+ {62.1070266611832, 25.399827902978, 0},
+ {62.0841757633469, 25.6718585111169, 0},
+ {61.9566618811819, 25.6638051128264, 0},
+ {61.8708976035189, 25.6615759243495, 0},
+ {61.8967762382584, 25.6579393583469, 0},
+ {61.9316662392126, 25.6607484600226, 0},
+ {61.922010452606, 25.6666149307513, 0},
+ {61.9186121030223, 25.6567409477604, 0},
+ {61.8294202063672, 25.6647162898683, 0},
+ {61.6960347456631, 25.6672192547271, 0},
+ {61.6793903622444, 25.661887067619, 0},
+ {61.7206606547555, 25.6634706852347, 0},
+ {61.6532719285515, 25.6678627388227, 0},
+ {61.5348122824738, 25.6687649621473, 0},
+ {61.5131952894726, 25.6618601065272, 0},
+ {61.5585849746926, 25.6684121709991, 0},
+ {61.560504155315, 25.6699442153261, 0},
+ {61.5496220259169, 25.6657405181566, 0},
+ {61.4996001267698, 25.6685099902552, 0},
+ {61.3466341555822, 25.6684968973596, 0},
+ {61.2567119017946, 25.6718548281478, 0},
+ {61.234698220788, 25.6688689235217, 0},
+ {61.1406543915243, 25.8365321785267, 0},
+ {61.0775591995821, 25.8794747604393, 0},
+ {61.027328992993, 25.8731412902454, 0},
+ {60.9117357650442, 25.8712951727283, 0},
+ {60.8693507497669, 25.8791683915685, 0},
+ {60.8812371649219, 25.8762916909327, 0},
+ {60.7845878396039, 25.8718286471456, 0},
+ {60.6911126771594, 25.8794063481548, 0},
+ {60.6723045921728, 26.0367347212422, 0},
+ {60.5717553954418, 26.0546345021743, 0},
+ {60.4728530173031, 26.0590044589628, 0},
+ {60.4579732118519, 26.0535319786677, 0},
+ {60.3580346796939, 26.0567573329156, 0},
+ {60.2402149780092, 26.0584981032187, 0},
+ {60.2343006291878, 26.0556076845367, 0},
+ {60.2517613599322, 26.0590081068078, 0},
+ {60.1483286525007, 26.0583467599109, 0},
+ {60.038284022991, 26.0626543776409, 0},
+ {60.0485283183626, 26.2510217326556, 0},
+ {60.0923420978092, 26.2882169240222, 0},
+ {60.0247913397106, 26.2922508700673, 0},
+ {59.8857902506996, 26.2835294698937, 0},
+ {59.8452423730947, 26.2874951789803, 0},
+ {59.9020809247548, 26.2891782062048, 0},
+ {59.9157861999351, 26.2885851080189, 0},
+ {59.8902104350187, 26.286972572098, 0},
+ {59.8992259257206, 26.288199543635, 0},
+ {59.8218378012624, 26.2931677588835, 0},
+ {59.6707811665143, 26.5163184259039, 0},
+ {59.612742331741, 26.5409873512633, 0},
+ {59.660528929127, 26.5397831697334, 0},
+ {59.6888614435063, 26.5397033170075, 0},
+ {59.6708336903929, 26.5413434083003, 0},
+ {59.6699571644671, 26.5375773295709, 0},
+ {59.6803737759058, 26.5400019553124, 0},
+ {59.6736093575752, 26.5427485495398, 0},
+ {59.672219873008, 26.5378664561967, 0},
+ {59.674575878906, 26.5380512827514, 0},
+ {59.5838792752538, 26.7313919870702, 0},
+ {59.4164494940253, 26.7302184445909, 0},
+ {59.3596644818695, 26.728565706627, 0},
+ {59.4229406013237, 26.7326919355806, 0},
+ {59.458049034954, 26.732969107491, 0},
+ {59.4340938847403, 26.7308795471673, 0},
+ {59.4331561853507, 26.7302493786263, 0},
+ {59.4462408418011, 26.7338605880852, 0},
+ {59.4395541375346, 26.7328716640919, 0},
+ {59.4350458076034, 26.7297115180944, 0},
+ {59.3521419769423, 26.7345987467498, 0},
+ {59.2140340905645, 26.9001523515871, 0},
+ {59.184403970072, 26.8972395190475, 0},
+ {59.2318500165601, 26.8974962163162, 0},
+ {59.2455307474228, 26.8987762784197, 0},
+ {59.2331380046008, 26.900553298954, 0},
+ {59.2333880575405, 26.8952216788555, 0},
+ {59.2379576782315, 26.8967954963358, 0},
+ {59.2410912373704, 26.9023622953995, 0},
+ {59.2334049112761, 26.8946886116015, 0},
+ {59.1507892493844, 27.0760162185026, 0},
+ {59.0282569975794, 27.1100144286107, 0},
+ {59.0073839488764, 27.1035955400358, 0},
+ {59.0483891982131, 27.101632368648, 0},
+ {59.0483948112416, 27.1055026066684, 0},
+ {58.9437154791611, 27.3340901840681, 0},
+ {58.7874345735968, 27.3486787278761, 0},
+ {58.7494658817294, 27.3504438860286, 0},
+ {58.8090767508037, 27.3537606879927, 0},
+ {58.8330664026525, 27.486180076532, 0},
+ {58.716902223795, 27.5488076536386, 0},
+ {58.5386615065025, 27.5454892891505, 0},
+ {58.5013137969382, 27.5446277558264, 0},
+ {58.5768021501835, 27.5470720391133, 0},
+ {58.609753200782, 27.5450721258126, 0},
+ {58.5843867398048, 27.5470174603393, 0},
+ {58.5839903685283, 27.5459692772832, 0},
+ {58.5910958052071, 27.5454243027617, 0},
+ {58.5853462404999, 27.7243006217963, 0},
+ {58.5909507517489, 27.7256866822811, 0},
+ {58.5864222804206, 27.7236677637243, 0},
+ {58.5907793119837, 27.7246235769042, 0},
+ {58.5896958817907, 27.7248681250633, 0},
+ {58.5850447606818, 27.722609506159, 0},
+ {58.5920079946867, 27.7246054294405, 0},
+ {58.5880468212161, 27.7255561807126, 0},
+ {58.5889123471882, 27.7235810832258, 0},
+ {58.5887635803527, 27.7244248385399, 0},
+ {58.5902799210766, 27.7261977791716, 0},
+ {58.5614522428231, 27.7261468118974, 0},
+ {58.4240875586182, 27.9228132579939, 0},
+ {58.3335623442628, 27.954528071975, 0},
+ {58.3742648137071, 27.9502569101167, 0},
+ {58.4141564918364, 27.9501003939752, 0},
+ {58.3973997109608, 27.952898178041, 0},
+ {58.3958359406549, 28.1716283584271, 0},
+ {58.4027573759188, 28.1933058802509, 0},
+ {58.3972269287108, 28.1930507699841, 0},
+ {58.4016108722994, 28.190494876239, 0},
+ {58.3979310327407, 28.3262517800106, 0},
+ {58.4005290877796, 28.3845290609207, 0},
+ {58.4016284212737, 28.3827836272493, 0},
+ {58.3966879145853, 28.3796502493538, 0},
+ {58.4019380026584, 28.3838847973197, 0},
+ {58.3998351978205, 28.3821573583617, 0},
+ {58.4007196162991, 28.3812703725386, 0},
+ {58.3992188686833, 28.3834280827589, 0},
+ {58.4009864898563, 28.3830507234511, 0},
+ {58.4012749886041, 28.5408744187806, 0},
+ {58.3966014377035, 28.544581318847, 0},
+ {58.4015961051356, 28.5448303048894, 0},
+ {58.4003691396735, 28.5440395758286, 0},
+ {58.3976141430364, 28.5440486784321, 0},
+ {58.3999794531194, 28.5435249187698, 0},
+ {58.3990733859027, 28.5428098783878, 0},
+ {58.3997680631031, 28.5437800770737, 0},
+ {58.3978597640317, 28.5429935625307, 0},
+ {58.4003919632197, 28.5431276730249, 0},
+ {58.399372179875, 28.543641625438, 0},
+ {58.3985126348727, 28.6127618502963, 0},
+ {58.4005049448451, 28.742797811497, 0},
+ {58.3985701174734, 28.7422691413567, 0},
+ {58.3990180742833, 28.740091084183, 0},
+ {58.3981014801118, 28.7541340774391, 0},
+ {58.3998493249248, 28.9961722504145, 0},
+ {58.4000616313703, 28.9909331881229, 0},
+ {58.3980116936393, 28.9908015511812, 0},
+ {58.3997219586455, 28.9924945393931, 0},
+ {58.3994001794864, 29.1976116794475, 0},
+ {58.400618233193, 29.193979672533, 0},
+ {58.3987949502782, 29.1953487370936, 0},
+ {58.4002209145337, 29.2023151611381, 0},
+ {58.4054250455906, 29.3730628766969, 0},
+ {58.4794697230724, 29.3710629483235, 0},
+ {58.5628428136208, 29.3708020360559, 0},
+ {58.5582577455969, 29.5530248099171, 0},
+ {58.531997969672, 29.5980300332764, 0},
+ {58.5455398855937, 29.5967330256382, 0},
+ {58.5441502983261, 29.5982691833265, 0},
+ {58.5405944839366, 29.5984526850061, 0},
+ {58.5433811715561, 29.5970078817239, 0},
+ {58.5411279118875, 29.5978106122585, 0},
+ {58.5452065719102, 29.6005544620698, 0},
+ {58.5399660796547, 29.59654596122, 0},
+ {58.5723417467048, 29.5958321983319, 0},
+ {58.7131205304762, 29.5989527153439, 0},
+ {58.8156812652193, 29.5945354053465, 0},
+ {58.7938274681856, 29.5965359587388, 0},
+ {58.8501850423707, 29.5958415270766, 0},
+ {58.9753219980575, 29.5918966153798, 0},
+ {59.0225363508474, 29.5969199109035, 0},
+ {58.9812649994877, 29.8453297864688, 0},
+ {58.9577696006516, 29.8373439067722, 0},
+ {58.9707474859712, 29.8372580958517, 0},
+ {58.9726891267944, 29.838533140629, 0},
+ {58.963161819492, 29.8385358690922, 0},
+ {58.9710717537809, 29.8362999659214, 0},
+ {58.9795362261026, 29.839934235015, 0},
+ {59.0930873339195, 29.8369011585476, 0},
+ {59.2262941657792, 29.833511609034, 0},
+ {59.2280752803236, 30.0264861747758, 0},
+ {59.235043987457, 30.0242857315472, 0},
+ {59.3298967549092, 30.025635272529, 0},
+ {59.3940720439564, 30.0268491978502, 0},
+ {59.374603188652, 30.0290324957328, 0},
+ {59.3497558930751, 30.1757810414951, 0},
+ {59.3604835322298, 30.1882805680165, 0},
+ {59.3681807200928, 30.1959069239075, 0},
+ {59.4938196760091, 30.1899936318147, 0},
+ {59.651295971348, 30.3155211927498, 0},
+ {59.6849852808756, 30.3951191078517, 0},
+ {59.7425614572771, 30.3921496261306, 0},
+ {59.8247375619628, 30.3918420744791, 0},
+ {59.8573458175073, 30.3940961328296, 0},
+ {59.9578798114605, 30.3944629978715, 0},
+ {60.0508960159556, 30.3929887051464, 0},
+ {60.0288555293006, 30.3937732159607, 0},
+ {60.018129888834, 30.3944364769811, 0},
+ {60.1428591555731, 30.6366658885775, 0},
+ {60.2498235760597, 30.6316954288962, 0},
+ {60.3120498318844, 30.6323580769936, 0},
+ {60.4063927996902, 30.6328247951254, 0},
+ {60.4404873029461, 30.6289406854575, 0},
+ {60.5206427832996, 30.8307657134554, 0},
+ {60.6638402755105, 30.8265100463566, 0},
+ {60.7077058072426, 30.8263987987739, 0},
+ {60.6417964385838, 30.8296819825117, 0},
+ {60.6591962894368, 30.827556045658, 0},
+ {60.8152176154698, 30.8263446905452, 0},
+ {60.9201483860168, 31.0126360233528, 0},
+ {60.9852258520861, 31.0063425936826, 0},
+ {61.0190971983903, 31.0033513119656, 0},
+ {61.030056171741, 31.0056586568194, 0},
+ {61.1731971713402, 31.0864523121203, 0},
+ {61.3115957098795, 31.2242181857117, 0},
+ {61.2977309608766, 31.2266556728944, 0},
+ {61.2141806665688, 31.2287859985256, 0},
+ {61.2745178615365, 31.2228841058685, 0},
+ {61.4756178912894, 31.313604644824, 0},
+ {61.6406297435109, 31.4641075616409, 0},
+ {61.7265267140429, 31.4697982896717, 0},
+ {61.6855173999261, 31.4653163585112, 0},
+ {61.7355340174492, 31.4688792692571, 0},
+ {61.8442356743232, 31.4677678428717, 0},
+ {62.0151492312362, 31.464987469551, 0},
+ {62.150963442613, 31.4665832496163, 0},
+ {62.132234521827, 31.4694702888742, 0},
+ {62.1703235425131, 31.4672188223131, 0},
+ {62.2754371819395, 31.4666392147205, 0},
+ {62.4531166991396, 31.4676528353681, 0},
+ {62.582722739566, 31.4675726943221, 0},
+ {62.6166289286044, 31.4666243071365, 0},
+ {62.6407510473491, 31.4642247480902, 0},
+ {62.7099384048559, 31.464769768401, 0},
+ {62.8927000881568, 31.4669103959, 0},
+ {62.99201683842, 31.4637800660027, 0},
+ {62.9501012368854, 31.4638751068966, 0},
+ {63.0090108135847, 31.4648556797637, 0},
+ {63.1374532394477, 31.4582731672426, 0},
+ {63.320598105105, 31.4635678799237, 0},
+ {63.4116171683059, 31.6447007176879, 0},
+ {63.4196464715377, 31.6511701648009, 0},
+ {63.44359257537, 31.6512251691217, 0},
+ {63.5479256923164, 31.6513843805507, 0},
+ {63.7386790207558, 31.6528959314784, 0},
+ {63.8093394070793, 31.6502354974396, 0},
+ {63.7467251036576, 31.6521049340392, 0},
+ {63.8077295249206, 31.6525570524843, 0},
+ {63.9618157652955, 31.6479539150429, 0},
+ {64.1767071959939, 31.6552480966443, 0},
+ {64.2693913222968, 31.6502800183351, 0},
+ {64.2915041073404, 31.8172140241324, 0},
+ {64.3023593320572, 31.8085695855432, 0},
+ {64.4391722060246, 31.8140868937899, 0},
+ {64.6142764883777, 31.810496339374, 0},
+ {64.8081679936351, 31.8121205542645, 0},
+ {64.9059224166856, 31.8069712390316, 0},
+ {64.9488969819107, 31.8127346660853, 0},
+ {64.9930257553649, 31.8026518891849, 0},
+ {65.1048344620259, 31.8069765217027, 0},
+ {65.2820930106727, 31.8018916189133, 0},
+ {65.4467092603635, 32.0009779288505, 0},
+ {65.5873118226888, 31.9997624465305, 0},
+ {65.6282324350864, 31.996730150825, 0},
+ {65.5519134195716, 32.0031113921023, 0},
+ {65.5067212937759, 31.9936948683886, 0},
+ {65.5947550998394, 31.9963511637885, 0},
+ {65.7886893318111, 31.9960875554377, 0},
+ {65.9062458029743, 31.9928249597223, 0},
+ {65.9653527360559, 31.9968291769036, 0},
+ {65.9611967556231, 31.9898530283252, 0},
+ {66.059783624201, 32.2537218700539, 0},
+ {66.2051242456219, 32.2417200895646, 0},
+ {66.3996306052955, 32.2447761749057, 0},
+ {66.500214389839, 32.2408059339528, 0},
+ {66.4200404091855, 32.2444941161315, 0},
+ {66.335816128383, 32.2428806587644, 0},
+ {66.4562246114873, 32.24057902449, 0},
+ {66.7130824356805, 32.2380920822664, 0},
+ {66.9319350707319, 32.2435651142251, 0},
+ {67.0458558237497, 32.2384926826145, 0},
+ {67.0896688905131, 32.2334664337187, 0},
+ {67.1831423312498, 32.2413032225417, 0},
+ {67.3772371694663, 32.2342204214877, 0},
+ {67.5684565728416, 32.2343179186705, 0},
+ {67.6702012795623, 32.2376186569359, 0},
+ {67.7155411831111, 32.2309382794995, 0},
+ {67.8360169961467, 32.2370162328974, 0},
+ {68.0791026936725, 32.2339485468634, 0},
+ {68.3339302564579, 32.2341837586697, 0},
+ {68.4620676067234, 32.2329480122596, 0},
+ {68.4866623637822, 32.2298008779574, 0},
+ {68.5651410880902, 32.2338781341055, 0},
+ {68.7919125898624, 32.2287924413414, 0},
+ {69.0769229583266, 32.2282836137366, 0},
+ {69.2244489854562, 32.2289610205388, 0},
+ {69.2227966605063, 32.227158348548, 0},
+ {69.2348980683214, 32.2278333604539, 0},
+ {69.3871453274076, 32.2289499125984, 0},
+ {69.6672766295535, 32.2245771076577, 0},
+ {69.9056111771716, 32.2264859132639, 0},
+ {69.9842977702202, 32.2262091193516, 0},
+ {69.969678392698, 32.2207829517711, 0},
+ {70.0145821949177, 32.2253386375101, 0},
+ {70.2057879639034, 32.2246617194363, 0},
+ {70.3521643597241, 32.2221909996929, 0},
+ {70.4398384877595, 32.2230775409052, 0},
+ {70.5002769220003, 32.2220626054719, 0},
+ {70.6091691517456, 32.2242585067037, 0},
+ {70.7338197786613, 32.2198848075592, 0},
+ {70.8740369431874, 32.226068257539, 0},
+ {70.9752893492322, 32.2160570040066, 0},
+ {71.0812725777909, 32.2251260525796, 0},
+ {71.209225101721, 32.2156970507437, 0},
+ {71.3516291742386, 32.2211883395765, 0},
+ {71.3682011690968, 32.219049407631, 0},
+ {71.3518553393791, 32.2163782725003, 0},
+ {71.436318548161, 32.2235979001222, 0},
+ {71.6330601476811, 32.213331706576, 0},
+ {71.8204104886726, 32.2220367138357, 0},
+ {71.967795363577, 32.2177724499758, 0},
+ {72.050399562249, 32.2125840661918, 0},
+ {72.138418091536, 32.2221861303321, 0},
+ {72.2802661616073, 32.2097445676912, 0},
+ {72.4203070757817, 32.2200502631559, 0},
+ {72.554457373289, 32.2142261524737, 0},
+ {72.6847730649203, 32.2113931919749, 0},
+ {72.8314711403643, 32.2169673090207, 0},
+ {73.0200618121394, 32.2100237377336, 0},
+ {73.1877871553853, 32.2142733441779, 0},
+ {73.2824650437829, 32.2121296249085, 0},
+ {73.3478716465907, 32.2132041034164, 0},
+ {73.4638529921844, 32.2089475435349, 0},
+ {73.5966149938528, 32.2108244806177, 0},
+ {73.6156404613187, 32.0805621163001, 0},
+ {73.5480984787276, 32.0832586615361, 0},
+ {73.5975773336908, 32.0837735441759, 0},
+ {73.8032796594418, 32.0812283298181, 0},
+ {74.082247457563, 32.0855086050743, 0},
+ {74.2491626312158, 32.0785604278027, 0},
+ {74.2603667609643, 32.0858438364019, 0},
+ {74.2718381750707, 32.0787657897809, 0},
+ {74.3905136940731, 32.0805328933461, 0},
+ {74.6420423933302, 32.0884364509186, 0},
+ {74.8890837808855, 32.074032995866, 0},
+ {74.9599909625249, 32.085865570327, 0},
+ {74.914245055084, 32.0818650868783, 0},
+ {74.9623347470904, 32.0852129198264, 0},
+ {75.1818856472304, 32.0821505158356, 0},
+ {75.5084196049796, 32.0809978062621, 0},
+ {75.7618487264322, 31.9032850496008, 0},
+ {75.838582482169, 31.8811467016894, 0},
+ {75.8340372903353, 31.8888042318414, 0},
+ {75.9176115637472, 31.8828494575965, 0},
+ {76.1534237347849, 31.8793516742575, 0},
+ {76.4375432478434, 31.7274297360384, 0},
+ {76.6049453310524, 31.7189497832946, 0},
+ {76.5954412395491, 31.7205048155958, 0},
+ {76.5859429062825, 31.7220522122878, 0},
+ {76.7028511064009, 31.54965110293, 0},
+ {76.9231440839263, 31.5551952605903, 0},
+ {77.1833157317119, 31.5499196866885, 0},
+ {77.3326364655421, 31.5497891672382, 0},
+ {77.3513580180422, 31.5547265429245, 0},
+ {77.3669973737295, 31.5463067887904, 0},
+ {77.4223090581967, 31.5530696888951, 0},
+ {77.5582354335383, 31.54502745588, 0},
+ {77.7379122384446, 31.5499982325499, 0},
+ {77.86272937147, 31.3268364986825, 0},
+ {77.9564669760258, 31.3222652338749, 0},
+ {77.9775293857657, 31.3250049359382, 0},
+ {78.0486524652134, 31.3243239512055, 0},
+ {78.1276834355375, 31.1344056261226, 0},
+ {78.2602096911585, 31.0839585561557, 0},
+ {78.3364370275349, 31.0838783345689, 0},
+ {78.2924429717493, 31.0860772163155, 0},
+ {78.2403632494381, 31.0828915361284, 0},
+ {78.3550855860313, 31.086631397289, 0},
+ {78.5924414286109, 30.8878396263458, 0},
+ {78.863135488357, 30.894549322681, 0},
+ {79.0087722828377, 30.8885191963926, 0},
+ {78.9999049056948, 30.8921530425755, 0},
+ {78.9986570414711, 30.8742941619706, 0},
+ {79.0916211929916, 30.7084452949575, 0},
+ {79.3101531824503, 30.713851748249, 0},
+ {79.4657060012732, 30.7038755588763, 0},
+ {79.5030356476451, 30.7122046057877, 0},
+ {79.5487066010988, 30.707203385509, 0},
+ {79.6880231184207, 30.6212470989077, 0},
+ {79.8778805812176, 30.4817364995829, 0},
+ {80.0412555259148, 30.4843271787168, 0},
+ {80.164269375925, 30.4808743909833, 0},
+ {80.2646489137778, 30.3121847563335, 0},
+ {80.3964018132408, 30.2486753121718, 0},
+ {80.567757034557, 30.2405573092851, 0},
+ {80.6538435617791, 30.2502660741075, 0},
+ {80.6770647689717, 30.0792327028463, 0},
+ {80.7061476406631, 30.0719394770989, 0},
+ {80.8308682320454, 30.0716992705556, 0},
+ {81.0069646835041, 30.0679660027816, 0},
+ {81.1994030245626, 30.0738466316223, 0},
+ {81.3070701018868, 29.9186756105391, 0},
+ {81.3563145879371, 29.9060318172242, 0},
+ {81.3725099329741, 29.8996454333638, 0},
+ {81.4569674487841, 29.9053415045861, 0},
+ {81.5566246477008, 29.9003704603236, 0},
+ {81.6181812145073, 29.9018045542822, 0},
+ {81.7286019160792, 29.9053332815644, 0},
+ {81.8259574805222, 29.8989294786978, 0},
+ {81.9720924495309, 29.6772776775185, 0},
+ {82.0756839968216, 29.6782797488864, 0},
+ {82.1683923238999, 29.6821972298572, 0},
+ {82.2142796855661, 29.678826499072, 0},
+ {82.2798274981217, 29.5992309371255, 0},
+ {82.372433057503, 29.4341980746321, 0},
+ {82.3984158446331, 29.4337877065637, 0},
+ {82.3749914026004, 29.4339030517174, 0},
+ {82.4688103164012, 29.4335025300155, 0},
+ {82.61481871821, 29.3536142240285, 0},
+ {82.7989214865267, 29.2403477863072, 0},
+ {82.9300963817624, 29.237604888394, 0},
+ {82.9624569422239, 29.2072830808445, 0},
+ {82.9808667763477, 29.0510414200042, 0},
+ {83.0083915841087, 29.0518465220587, 0},
+ {83.1308569281515, 29.0525342176415, 0},
+ {83.2310095935531, 28.8257679925658, 0},
+ {83.2301497474187, 28.8201098590431, 0},
+ {83.2790274746727, 28.8218559320363, 0},
+ {83.3842194616113, 28.8219106170341, 0},
+ {83.5675921165927, 28.5823519610249, 0},
+ {83.7406676506626, 28.579331164911, 0},
+ {83.8274931831141, 28.5809640385104, 0},
+ {83.8462378812571, 28.5772993438243, 0},
+ {83.8474112368264, 28.5799693539795, 0},
+ {83.9376838208987, 28.5814910149445, 0},
+ {84.0251389218806, 28.5779945580771, 0},
+ {84.0480748117591, 28.5798949790647, 0},
+ {84.1344004957657, 28.5820303677256, 0},
+ {84.2375420607692, 28.4092124198648, 0},
+ {84.3312463879202, 28.410963692175, 0},
+ {84.4684806419039, 28.412525852426, 0},
+ {84.5294846473597, 28.4082208589855, 0},
+ {84.5758642436964, 28.2388497536269, 0},
+ {84.6334847068124, 28.2461510117566, 0},
+ {84.6430110511224, 28.2440637737531, 0},
+ {84.6180613048241, 28.24306104215, 0},
+ {84.6102095364925, 28.24637915708, 0},
+ {84.6881559985677, 28.2398322156576, 0},
+ {84.8295005217153, 28.029113224394, 0},
+ {84.9000874568178, 28.0227741058758, 0},
+ {84.9646498984907, 28.0190306003716, 0},
+ {85.0355573977778, 27.7831294101364, 0},
+ {85.069491752892, 27.7821162936764, 0},
+ {85.1858784769321, 27.7828907286015, 0},
+ {85.31255659107, 27.579993649415, 0},
+ {85.3335014592696, 27.5849116103561, 0},
+ {85.266267785118, 27.5854564010446, 0},
+ {85.2640178828975, 27.4009820125046, 0},
+ {85.3969605374823, 27.4087200771076, 0},
+ {85.5278244767539, 27.40664209114, 0},
+ {85.642129216418, 27.1792278530111, 0},
+ {85.7001910467841, 27.1831666586454, 0},
+ {85.6873128675354, 27.1822059115931, 0},
+ {85.7632316661743, 27.1868423690221, 0},
+ {85.8740751584537, 27.1821451684429, 0},
+ {85.9149896684667, 27.1830453228656, 0},
+ {85.8765144477922, 27.183531736191, 0},
+ {85.9110941580133, 26.9499607000966, 0},
+ {86.0632195173295, 26.9452824104071, 0},
+ {86.1833585772821, 26.9423857804861, 0},
+ {86.2582888589541, 26.7775733796187, 0},
+ {86.3056094111768, 26.7650306222279, 0},
+ {86.2888180582441, 26.7636920150834, 0},
+ {86.3313143299526, 26.7133241107259, 0},
+ {86.4506733001783, 26.593907683752, 0},
+ {86.5209956234249, 26.5956188448908, 0},
+ {86.491459027855, 26.5962698000686, 0},
+ {86.4691695472465, 26.4305324890288, 0},
+ {86.5810693899141, 26.372506188004, 0},
+ {86.7144571955272, 26.3683171807871, 0},
+ {86.7496242343419, 26.1540642545001, 0},
+ {86.7495498341237, 26.1169389969711, 0},
+ {86.8368951159092, 26.122304541519, 0},
+ {86.9315532121234, 25.9282828138717, 0},
+ {86.9529465689859, 25.9276231923149, 0},
+ {86.9002652598103, 25.9270980869464, 0},
+ {86.8650821668564, 25.9242300393084, 0},
+ {86.8860466699759, 25.7430051067405, 0},
+ {86.9675380138825, 25.7368791194077, 0},
+ {87.1162706480688, 25.7402706203951, 0},
+ {87.1921116450594, 25.6381875714354, 0},
+ {87.1460151901221, 25.5056477792801, 0},
+ {87.0700671225541, 25.5044239699888, 0},
+ {87.0553888085907, 25.5033602746425, 0},
+ {87.0954519442529, 25.2475007174128, 0},
+ {87.1253673805455, 25.257820743376, 0},
+ {87.1097391955591, 25.2576858389887, 0},
+ {87.0914497935144, 25.258199195772, 0},
+ {87.1008030460713, 25.215996465807, 0},
+ {87.1099871065789, 25.0906370707597, 0},
+ {87.1746931101419, 25.0862424318513, 0},
+ {87.2980944876131, 25.0867787368358, 0},
+ {87.3588692292345, 25.087044307494, 0},
+ {87.3155915420457, 25.0853902291883, 0},
+ {87.2549374650073, 25.0878434584123, 0},
+ {87.3254053263865, 25.0841390878218, 0},
+ {87.5056327645103, 25.0877215749514, 0},
+ {87.6231455009309, 25.0850707095351, 0},
+ {87.5900723281928, 25.0123737394339, 0},
+ {87.490310018007, 24.9242081881134, 0},
+ {87.4454348688787, 24.9183050722535, 0},
+ {87.4872515470557, 24.9217701519824, 0},
+ {87.5366056280138, 24.7690689988918, 0},
+ {87.5323095922247, 24.7018915188626, 0},
+ {87.5002801473465, 24.7001039352646, 0},
+ {87.4965214036079, 24.6984028165433, 0},
+ {87.5111828046518, 24.6976278011618, 0},
+ {87.5133571195355, 24.6957457902595, 0},
+ {87.5048614568307, 24.4684275967978, 0},
+ {87.5092097896852, 24.4582696602148, 0},
+ {87.6001222491186, 24.4534213939963, 0},
+ {87.7619775988277, 24.262135628276, 0},
+ {87.8404168011544, 24.2566701644295, 0},
+ {87.7880324323941, 24.2472967583391, 0},
+ {87.7027582970717, 24.0791941193375, 0},
+ {87.684542809485, 24.0737368164091, 0},
+ {87.7291048167883, 24.0786870879124, 0},
+ {87.7625240893877, 23.8554847678208, 0},
+ {87.7481154869582, 23.8531004850366, 0},
+ {87.7290452902818, 23.8558059934951, 0},
+ {87.8052047694312, 23.6005523432468, 0},
+ {87.946258198824, 23.6147906287048, 0},
+ {88.0075727968072, 23.6129396387904, 0},
+ {87.9541741228573, 23.437186591224, 0},
+ {87.8869927392259, 23.4349309069156, 0},
+ {87.8865500473205, 23.4326419205002, 0},
+ {87.923461998577, 23.4357860242106, 0},
+ {87.9382436812338, 23.2605783404232, 0},
+ {87.9213721209075, 23.266609065724, 0},
+ {87.9127485785287, 23.266967911049, 0},
+ {87.9263434173329, 23.2636809811133, 0},
+ {87.9264312807245, 23.0844210898487, 0},
+ {87.9157620212357, 23.0412299418737, 0},
+ {87.9184636068495, 23.0402110887186, 0},
+ {87.9251702038715, 23.0420253001659, 0},
+ {87.9198417379208, 23.0408039270778, 0},
+ {87.9176751017088, 23.0421325871509, 0},
+ {87.9246248680886, 23.0427783502015, 0},
+ {87.9223571788683, 22.7950006920091, 0},
+ {87.9177697058906, 22.7998559753658, 0},
+ {87.9221848871232, 22.8011110463851, 0},
+ {87.9222759750077, 22.8009690355539, 0},
+ {87.9207105150535, 22.7999352368004, 0},
+ {87.9210956346856, 22.7899290175827, 0},
+ {87.9460503737977, 22.6025387794632, 0},
+ {88.0615332857139, 22.6056356888186, 0},
+ {88.1613675656147, 22.6053573359217, 0},
+ {88.1529286698437, 22.6054003823159, 0},
+ {97.7675192026049, 29.7963343458215, 0},
+ {97.7569015156669, 30.0432067052985, 0},
+ {97.7382205976381, 30.3121500548902, 0},
+ {97.7416220556108, 30.5897523886129, 0},
+ {97.7509598028372, 30.8142074208668, 0},
+ {97.7480661584816, 31.0931155074272, 0},
+ {97.7467149108594, 31.413884918464, 0},
+ {97.7489969707563, 31.6118910002266, 0},
+ {97.7490424466313, 31.8239230045975, 0},
+ {97.7498047970829, 32.1393591197891, 0},
+ {97.7513581514219, 32.4329673779887, 0},
+ {97.7501378457228, 32.6083571414946, 0},
+ {97.7524026258017, 32.8251051886498, 0},
+ {97.753381014932, 33.099687901966, 0},
+ {97.7514300229614, 33.3628580348611, 0},
+ {97.7533944466131, 33.5873231013279, 0},
+ {97.7554671774591, 33.8753181965869, 0},
+ {97.753013196146, 34.0609663310433, 0},
+ {97.7542708655774, 34.2787588006467, 0},
+ {97.7721619435806, 34.582358107105, 0},
+ {97.8878626230556, 34.8904132740481, 0},
+ {98.0241217128376, 35.0651805819381, 0},
+ {98.0705438008186, 35.2719612024932, 0},
+ {98.0157149003686, 35.5369441265288, 0},
+ {97.9411547708586, 35.8085671262034, 0},
+ {97.9239525540451, 36.0624325195335, 0},
+ {97.9667115529232, 36.3693847101454, 0},
+ {98.0030823797999, 36.5636735881218, 0},
+ {97.9958434942314, 36.7369511435518, 0},
+ {97.9728047866706, 36.9866750785729, 0},
+ {97.9713660561573, 37.3079338334754, 0},
+ {97.9827267608291, 37.5318480909822, 0},
+ {97.9833093625153, 37.784592799646, 0},
+ {97.9795401770952, 38.0338796055769, 0},
+ {97.9808624690127, 38.2174690706005, 0},
+ {97.9835069441549, 38.3844753995453, 0},
+ {97.983511859574, 38.6046243929281, 0},
+ {97.9842334018425, 38.8941010954228, 0},
+ {97.985142178483, 39.1389151629525, 0},
+ {97.9858729695868, 39.3723473523843, 0},
+ {97.9884312328426, 39.664035760424, 0},
+ {97.9864640526969, 39.8955440220082, 0},
+ {97.9878723315365, 40.0638754178257, 0},
+ {97.9918914570714, 40.264968580238, 0},
+ {97.9894912770178, 40.5118786565997, 0},
+ {97.9895906706553, 40.7153490714942, 0},
+ {97.9938724557501, 40.8845542445903, 0},
+ {97.9935495208494, 41.0969460450757, 0},
+ {97.9919590529292, 41.341941766639, 0},
+ {97.995010031821, 41.5414036580824, 0},
+ {97.9970943408535, 41.6916506682162, 0},
+ {97.9950753654801, 41.8727793335563, 0},
+ {98.0169470792159, 41.9201334164093, 0},
+ {98.1256209321866, 42.1772282042345, 0},
+ {98.2315800870849, 42.3818300196575, 0},
+ {98.2464241822575, 42.5592592740678, 0},
+ {98.1871869669803, 42.770950529715, 0},
+ {98.1355156567171, 43.0132560420384, 0},
+ {98.1444241371641, 43.2092080688576, 0},
+ {98.1834089124377, 43.3577957520576, 0},
+ {98.1976481215439, 43.534089698965, 0},
+ {98.1813349650807, 43.7559474727258, 0},
+ {98.1701965157264, 43.9665853457478, 0},
+ {98.1784929184279, 44.1350400511109, 0},
+ {98.1821428390491, 44.3090473823004, 0},
+ {98.1771005133312, 44.5175371237733, 0},
+ {98.1791806420115, 44.7335404949343, 0},
+ {98.1810604590912, 44.9076757892782, 0},
+ {98.179709917366, 45.0590877070376, 0},
+ {98.1802520920512, 45.2447799444419, 0},
+ {98.1815277130277, 45.4824645569691, 0},
+ {98.1821785347303, 45.6821896140182, 0},
+ {98.1828080903477, 45.8563737140121, 0},
+ {98.1842712197192, 46.0869614456584, 0},
+ {98.1846605633796, 46.3160227542009, 0},
+ {98.1858951335179, 46.4805376305029, 0},
+ {98.1867242148559, 46.5918147249966, 0},
+ {98.1868663099766, 46.7054173480529, 0},
+ {98.1884659311333, 46.8902266228495, 0},
+ {98.190181265266, 47.1258863706339, 0},
+ {98.1947832399696, 47.3347369907203, 0},
+ {98.2738171395666, 47.5040983563362, 0},
+ {98.3908376442113, 47.6727277097567, 0},
+ {98.4434718904877, 47.7582064337224, 0},
+ {98.4054959693489, 47.980358281928, 0},
+ {98.3433867390905, 48.1676760324605, 0},
+ {98.3285193642218, 48.3020330875192, 0},
+ {98.3617911656565, 48.3757740171208, 0},
+ {98.388125377351, 48.5287707949836, 0},
+ {98.3802879480705, 48.7677588590559, 0},
+ {98.3691827657728, 48.9673475827257, 0},
+ {98.4555706471097, 49.0405146960402, 0},
+ {98.5960753236651, 49.1599898767453, 0},
+ {98.6748011716728, 49.3298426883437, 0},
+ {98.6435894815754, 49.3978024182808, 0},
+ {98.5666287821077, 49.6354462089525, 0},
+ {98.5288050767238, 49.833348254348, 0},
+ {98.5581294731551, 49.9202223790459, 0},
+ {98.6004220988436, 49.9964028300105, 0},
+ {98.6235334825139, 50.1977739214823, 0},
+ {98.7235586501833, 50.418242982098, 0},
+ {98.8425211888345, 50.4788621536933, 0},
+ {98.8836365918601, 50.6560210949947, 0},
+ {98.8374302570601, 50.7777070518677, 0},
+ {98.7739685706605, 50.8342333011408, 0},
+ {98.7626290365047, 51.0474388254879, 0},
+ {98.8011467045678, 51.2710595868046, 0},
+ {98.8280946583377, 51.3206595693926, 0},
+ {98.8184688999702, 51.4987070376738, 0},
+ {98.7993077093874, 51.6638450045131, 0},
+ {98.8021205869651, 51.733337081258, 0},
+ {98.813136948633, 51.8603754713679, 0},
+ {98.8120446854674, 52.1128414274901, 0},
+ {98.8094939477578, 52.2362435724428, 0},
+ {98.8117009505404, 52.3207097247098, 0},
+ {98.815533374962, 52.4991895202693, 0},
+ {98.8138463868614, 52.7093393647204, 0},
+ {98.8144412941055, 52.7811482895542, 0},
+ {98.817380736373, 52.9853092657283, 0},
+ {98.8174496354416, 53.1751637166611, 0},
+ {98.8175055726535, 53.3016157642944, 0},
+ {98.817393631918, 53.3492544302565, 0},
+ {98.8182167869316, 53.5460467643592, 0},
+ {98.8198111112604, 53.7960353806048, 0},
+ {98.81858172551, 53.7970989019247, 0},
+ {98.8189927560486, 53.9927583097979, 0},
+ {98.8207249099928, 54.042698565727, 0},
+ {98.8199198177098, 54.1790148294629, 0},
+ {98.820366436335, 54.3424745250111, 0},
+ {98.8222078495775, 54.3983672539346, 0},
+ {98.8227244883185, 54.6554531718764, 0},
+ {98.8220618702112, 54.6465893234163, 0},
+ {98.822780787981, 54.8435242026225, 0},
+ {98.8238447486214, 54.8493534417489, 0},
+ {98.8228526695257, 55.0072264560944, 0},
+ {98.8234273631769, 55.0347831616614, 0},
+ {98.8250258920951, 55.2066614187393, 0},
+ {98.8241986667981, 55.2683695155695, 0},
+ {98.8242728349709, 55.4594369906704, 0},
+ {98.8258430367639, 55.5467795609796, 0},
+ {98.8262199267677, 55.6624980132756, 0},
+ {98.82630553749, 55.7772907343827, 0},
+ {98.8270186896365, 55.845103756215, 0},
+ {98.8286023441105, 55.8464981393191, 0},
+ {98.8284862297061, 56.0725156877729, 0},
+ {98.8284590978051, 56.100672684207, 0},
+ {98.8300578281722, 56.3220054925484, 0},
+ {98.8312004309556, 56.4688020540098, 0},
+ {98.8305027963911, 56.512077531512, 0},
+ {98.8320926709479, 56.6773740441847, 0},
+ {98.8329540735684, 56.6758659939308, 0},
+ {98.8330122788434, 56.8745184869539, 0},
+ {98.8341856886316, 56.9553053727758, 0},
+ {98.8352886895177, 57.1244434551231, 0},
+ {98.83604159753, 57.318709658741, 0},
+ {98.8353055413523, 57.3205447399456, 0},
+ {98.8355617312315, 57.4988783462881, 0},
+ {98.8364424457166, 57.5744378660517, 0},
+ {98.8358502292597, 57.7240536818857, 0},
+ {98.8365103542586, 57.9551899156629, 0},
+ {98.8372135576043, 57.9646271567699, 0},
+ {98.8379582435427, 58.1549697367036, 0},
+ {98.8614656282608, 58.1570835765834, 0},
+ {98.9733366642438, 58.1831428708842, 0},
+ {99.0857426018855, 58.3253468987607, 0},
+ {99.1119014759559, 58.5227200008481, 0},
+ {99.1376452007722, 58.6095769379593, 0},
+ {99.1905465839329, 58.7703689075318, 0},
+ {99.2215415444037, 58.9753808776045, 0},
+ {99.2771345308636, 59.0986702700494, 0},
+ {99.3995526086715, 59.1629094509471, 0},
+ {99.4928964913745, 59.3757810645134, 0},
+ {99.4908188684759, 59.6025752515, 0},
+ {99.4290173989383, 59.6921887076443, 0},
+ {99.3825839134093, 59.8193938201416, 0},
+ {99.4000325073507, 59.9829439739584, 0},
+ {99.5344760540272, 60.1716069603442, 0},
+ {99.7253201726869, 60.2911488848429, 0},
+ {99.9248255199589, 60.4403519790133, 0},
+ {100.044760521039, 60.6384816365253, 0},
+ {100.089259785558, 60.8239918537347, 0},
+ {100.122026902915, 60.9401981810258, 0},
+ {100.20371186341, 61.0456975541816, 0},
+ {100.400879473569, 61.2396006548653, 0},
+ {100.705475869418, 61.303867792726, 0},
+ {101.033520692431, 61.492354369599, 0},
+ {101.322399458207, 61.5033280151977, 0},
+ {101.540601775087, 61.667125208321, 0},
+ {101.681469227421, 61.6731327605703, 0},
+ {101.812249581521, 61.8777696058458, 0},
+ {102.021884415157, 61.8779007510346, 0},
+ {102.314740768247, 62.1403502463095, 0},
+ {102.588521540439, 62.1349062416027, 0},
+ {102.717507921174, 62.1353109315989, 0},
+ {102.830661845925, 62.3436750652165, 0},
+ {103.056125463338, 62.3501824439962, 0},
+ {103.394029250606, 62.5251300564364, 0},
+ {103.808043212968, 62.5425777632336, 0},
+ {104.191584099823, 62.6608973927828, 0},
+ {104.466992565452, 62.7765963575111, 0},
+ {104.679564813752, 62.7888462946362, 0},
+ {104.884775003652, 63.0322595260869, 0},
+ {105.119836589645, 63.0337908364323, 0},
+ {105.345715331782, 63.2290776801049, 0},
+ {105.62993470083, 63.2393989799317, 0},
+ {105.994668419347, 63.2460346486365, 0},
+ {106.41876085217, 63.4208881530861, 0},
+ {106.794334884443, 63.4254496262919, 0},
+ {107.092087919052, 63.4336920791452, 0},
+ {107.358912917714, 63.6396968355742, 0},
+ {107.64413915557, 63.6459127407305, 0},
+ {108.011476791121, 63.6532145688939, 0},
+ {108.374498803109, 63.6603921682906, 0},
+ {108.59541823025, 63.6616970251122, 0},
+ {108.842539539776, 63.6696021290622, 0},
+ {109.220824977845, 63.9231685402781, 0},
+ {109.726887716688, 63.9332452488796, 0},
+ {110.22391209196, 63.9382930376462, 0},
+ {110.62795061583, 63.9509001825524, 0},
+ {110.925266684185, 63.958038892159, 0},
+ {111.22623573498, 63.9626568789726, 0},
+ {111.599752184811, 63.9716908623563, 0},
+ {112.024749280183, 63.982065037183, 0},
+ {112.360720961055, 63.9858913447353, 0},
+ {112.671621012831, 63.9964704098239, 0},
+ {113.078164547306, 64.0080321440627, 0},
+ {113.554980369764, 64.0147203838936, 0},
+ {114.046307798443, 64.0242476733679, 0},
+ {114.467672286396, 64.036572027148, 0},
+ {114.820726973574, 64.0461059231029, 0},
+ {115.148965213574, 64.0500392495505, 0},
+ {115.548877844566, 64.0621075188929, 0},
+ {115.964521745764, 64.0706556926964, 0},
+ {116.253905755718, 64.0721094377902, 0},
+ {116.537345023441, 64.0843614037922, 0},
+ {116.957298464695, 64.0960141603443, 0},
+ {117.486516954442, 64.1053134141107, 0},
+ {118.021895268796, 64.1140717698842, 0},
+ {118.430271312185, 64.1272005954832, 0},
+ {118.751403734452, 64.1371119951854, 0},
+ {119.086007078832, 64.1415350868588, 0},
+ {119.53839900751, 64.155932610788, 0},
+ {120.033693180123, 64.1672808765025, 0},
+ {120.422192920363, 64.1738822558246, 0},
+ {120.757770910635, 64.1849616023449, 0},
+ {121.165279939365, 64.2000493547307, 0},
+ {121.641360356437, 64.2074319653561, 0},
+ {122.14215411259, 64.2180307721986, 0},
+ {122.576133423119, 64.2331983616212, 0},
+ {122.953204808439, 64.1308945212219, 0},
+ {123.312491856745, 64.1336857318719, 0},
+ {123.748041322572, 64.1479446040846, 0},
+ {124.19741994226, 64.1596198511557, 0},
+ {124.503626870958, 64.162816515303, 0},
+ {124.759199719406, 63.9772617212791, 0},
+ {125.136458757094, 63.9934831109108, 0},
+ {125.631830702674, 63.850745675657, 0},
+ {126.138893101328, 63.8441127247979, 0},
+ {126.523726243005, 63.7310153644529, 0},
+ {126.825416565046, 63.6998818281704, 0},
+ {127.15973963059, 63.5720320283693, 0},
+ {127.609571501774, 63.4991383311121, 0},
+ {128.077347052131, 63.4029916749973, 0},
+ {128.339276894706, 63.2721442866792, 0},
+ {128.5612180101, 63.0860952511127, 0},
+ {128.907882985029, 63.1021156395494, 0},
+ {129.413931141075, 62.9299850596648, 0},
+ {129.902288470712, 62.8272821181018, 0},
+ {130.268308881158, 62.716809800782, 0},
+ {130.526147459617, 62.4787677278175, 0},
+ {130.843010918827, 62.4921192181063, 0},
+ {131.281225494319, 62.3373118199516, 0},
+ {131.733598767998, 62.3466496027306, 0},
+ {131.997315216279, 62.3251153089535, 0},
+ {132.15362067238, 62.1883336299934, 0},
+ {132.456224320875, 62.0428018624344, 0},
+ {132.924073028688, 61.9874572725797, 0},
+ {133.402738249205, 61.7489283526859, 0},
+ {133.759591621371, 61.7451061598861, 0},
+ {133.999938184326, 61.5778709165249, 0},
+ {134.280722044843, 61.4531499983251, 0},
+ {134.650562736598, 61.4174751172424, 0},
+ {135.03590485927, 61.1932230667326, 0},
+ {135.218971062658, 61.0932994419025, 0},
+ {135.316031988737, 60.9700493535733, 0},
+ {135.58481928502, 60.8133398085277, 0},
+ {136.054217134886, 60.7177281090362, 0},
+ {136.493724122122, 60.658316251399, 0},
+ {136.780045052422, 60.4450862420599, 0},
+ {136.944115214299, 60.2847280684958, 0},
+ {137.163019974318, 60.2149280931446, 0},
+ {137.559702991279, 60.0354701607118, 0},
+ {137.923330057354, 60.03480189819, 0},
+ {138.012888138182, 59.9283224483392, 0},
+ {138.087355366104, 59.857545056803, 0},
+ {138.383354873391, 59.6543413047824, 0},
+ {138.826741205733, 59.4018880261817, 0},
+ {139.244893500241, 59.2959445983743, 0},
+ {139.480042685666, 59.2372880075185, 0},
+ {139.609451019749, 59.0859412904171, 0},
+ {139.846325612806, 58.8688050570472, 0},
+ {140.224143462022, 58.7206994832526, 0},
+ {140.558903070061, 58.6335612996444, 0},
+ {140.656726249257, 58.4457400439968, 0},
+ {140.715860204085, 58.2900865329573, 0},
+ {140.930081093812, 58.0731291124846, 0},
+ {141.29881444911, 57.8601074380807, 0},
+ {141.691899529672, 57.7389618643215, 0},
+ {141.928868485362, 57.6398481596738, 0},
+ {142.047839636587, 57.5092485778942, 0},
+ {142.243766414338, 57.3069101449451, 0},
+ {142.570026239337, 57.0604705426122, 0},
+ {142.889612677484, 56.8721258123597, 0},
+ {143.050203151798, 56.728987954787, 0},
+ {143.134470616064, 56.5930747459097, 0},
+ {143.28638683479, 56.4317910628868, 0},
+ {143.550337435584, 56.2230276704951, 0},
+ {143.872256167751, 56.0689593081002, 0},
+ {144.136353426126, 55.9109880325204, 0},
+ {144.260729283745, 55.6767254993479, 0},
+ {144.349586575764, 55.4492538458613, 0},
+ {144.564907863489, 55.2912141081192, 0},
+ {144.893142125459, 55.2707198262475, 0},
+ {145.077593111219, 55.088819791589, 0},
+ {145.097267760926, 54.933529185253, 0},
+ {145.150699478685, 54.8206263795628, 0},
+ {145.380746130546, 54.6393524907529, 0},
+ {145.714779276939, 54.4647834840505, 0},
+ {145.934013197715, 54.2914582150121, 0},
+ {145.978176046322, 54.1040942227925, 0},
+ {146.025390188786, 53.9574352932355, 0},
+ {146.2350039828, 53.8267006477469, 0},
+ {146.549454954975, 53.643715394219, 0},
+ {146.67446186091, 53.4500130365024, 0},
+ {146.657667329766, 53.2174557407862, 0},
+ {146.713985381732, 52.9867011149414, 0},
+ {146.925514408209, 52.8231056738949, 0},
+ {147.226551832126, 52.6521158694175, 0},
+ {147.436682659698, 52.4320078711937, 0},
+ {147.472721458932, 52.1919169137513, 0},
+ {147.475883141449, 52.0064127842571, 0},
+ {147.624095593171, 51.8498914991513, 0},
+ {147.922708748301, 51.646244125515, 0},
+ {148.109187497636, 51.4356298921964, 0},
+ {148.13404971709, 51.2752377013102, 0},
+ {148.121354804362, 51.1502568342773, 0},
+ {148.225429677146, 51.0153019056459, 0},
+ {148.41976322369, 50.7981450282364, 0},
+ {148.621316317562, 50.5640470935047, 0},
+ {148.777397176238, 50.3746899842002, 0},
+ {148.84103849468, 50.1789978766188, 0},
+ {148.91282554688, 49.9580367218092, 0},
+ {149.021319851222, 49.7479355305665, 0},
+ {149.149926971548, 49.5903298879852, 0},
+ {149.248527957486, 49.4561118458393, 0},
+ {149.340635690645, 49.3167475209401, 0},
+ {149.375962548427, 49.1248335570573, 0},
+ {149.496819727484, 48.9160883432202, 0},
+ {149.606142977234, 48.7370896844111, 0},
+ {149.715260733347, 48.5691503472052, 0},
+ {149.788131030143, 48.3442131546593, 0},
+ {149.807447608222, 48.1028905677016, 0},
+ {149.899960790933, 47.9339255105113, 0},
+ {149.957384356816, 47.762903742781, 0},
+ {149.937847676608, 47.5402799207118, 0},
+ {150.032060035943, 47.3113312909598, 0},
+ {150.181537331808, 47.1215851547698, 0},
+ {150.214056353625, 46.94607342042, 0},
+ {150.253027650993, 46.7510865406981, 0},
+ {150.366218192622, 46.5301093163906, 0},
+ {150.415270302329, 46.3298517926838, 0},
+ {150.461510708775, 46.1874788062909, 0},
+ {150.574133963213, 46.1394057338725, 0},
+ {150.60216993215, 45.8971700103469, 0},
+ {150.55888524255, 45.6594824106906, 0},
+ {150.581826625268, 45.4983484143157, 0},
+ {150.714282843662, 45.3592038695898, 0},
+ {150.804047682045, 45.1851989213455, 0},
+ {150.76914102991, 45.0135284220306, 0},
+ {150.764615069961, 44.8220192238606, 0},
+ {150.900739275076, 44.6580720885541, 0},
+ {151.015942755502, 44.4887358623961, 0},
+ {150.995315478149, 44.2591891558466, 0},
+ {150.945090853036, 44.0199904593448, 0},
+ {150.955850064916, 43.8247290860472, 0},
+ {150.967396009126, 43.6446995085936, 0},
+ {151.007536117418, 43.4313599612448, 0},
+ {151.165346534318, 43.1955533077487, 0},
+ {151.256349324271, 43.018907069495, 0},
+ {151.210496287277, 42.8589116069773, 0},
+ {151.171519132475, 42.6675849742159, 0},
+ {151.234174753979, 42.4286603064028, 0},
+ {151.392445559923, 42.2114891230567, 0},
+ {151.453768803171, 42.0662255385749, 0},
+ {151.382963699534, 41.906198346788, 0},
+ {151.352752961171, 41.7210312746008, 0},
+ {151.387370296081, 41.5113513381544, 0},
+ {151.41992803118, 41.3530114505801, 0},
+ {151.531478118041, 41.2026498204265, 0},
+ {151.598343312046, 40.9790564097753, 0},
+ {151.563647897758, 40.7224448225563, 0},
+ {151.544795518681, 40.5313158096469, 0},
+ {151.561266402235, 40.3404485599843, 0},
+ {151.556117729321, 40.3329541636094, 0},
+ {151.557298164153, 40.3399148397421, 0},
+ {151.552221258013, 40.3451865478384, 0},
+ {151.553417306174, 40.3347554562294, 0},
+ {151.562942474838, 40.3364889870458, 0},
+ {151.548705736495, 40.3437735664436, 0},
+ {151.551729495237, 40.3395366696444, 0},
+ {151.561770832342, 40.3351260856182, 0},
+ {151.550702811622, 40.3399852072733, 0},
+ {151.550280805146, 40.3429989468607, 0},
+ {151.556658376027, 40.3361199690463, 0},
+ {151.552497564913, 40.3373104655678, 0},
+ {151.550251285635, 40.3431364480075, 0},
+ {151.551956843396, 40.3379153278962, 0},
+ {151.554942206627, 40.3359796053283, 0},
+ {151.550042120266, 40.3420714362671, 0},
+ {151.548928952563, 40.3409306786025, 0},
+ {151.555210432593, 40.336398269486, 0},
+ {151.55089126819, 40.3400326842193, 0},
+ {151.548867914496, 40.3433549085324, 0},
+ {151.553064461051, 40.3395584672988, 0},
+ {151.55177967151, 40.3400433783507, 0},
+ {151.548543368259, 40.3446995446014, 0},
+ {151.54944443593, 40.3416341868691, 0},
+ {151.551706447118, 40.3394330397162, 0},
+ {151.540022128499, 40.3436397751141, 0},
+ {151.443688008937, 39.8174186347032, 0},
+ {151.362202746531, 39.4770551562265, 0},
+ {151.390149920483, 38.9512117980943, 0},
+ {151.41417402562, 38.4912265600556, 0},
+ {151.390167095014, 37.9766084017974, 0},
+ {151.392672992958, 37.4462277639196, 0},
+ {151.395078915001, 36.9639565081374, 0},
+ {151.389059511702, 36.3972394790968, 0},
+ {151.391840816846, 35.9473301789905, 0},
+ {151.310331946262, 35.4325766235549, 0},
+ {151.18028934373, 34.8593937483631, 0},
+ {151.162311680566, 34.4507942655069, 0},
+ {151.148128521874, 33.88029038957, 0},
+ {151.021873566261, 33.4245386775692, 0},
+ {150.934827833053, 33.3081814115253, 0},
+ {150.899511233983, 33.1690723557416, 0},
+ {150.777044571285, 33.0279511190443, 0},
+ {150.571796008457, 32.8659914905525, 0},
+ {150.423110204488, 32.6577890336217, 0},
+ {150.346367500119, 32.3930495165046, 0},
+ {150.290997757521, 32.1992315495702, 0},
+ {150.161061418448, 32.0722534582014, 0},
+ {149.921786999976, 31.9388419681305, 0},
+ {149.72635809242, 31.7850957792397, 0},
+ {149.651592242172, 31.5441976094915, 0},
+ {149.650557024696, 31.5473956197571, 0},
+ {149.584583975378, 31.5409124209111, 0},
+ {149.36926501838, 31.3555928874955, 0},
+ {149.133683097179, 31.3565579067836, 0},
+ {148.963975208525, 31.3551617048065, 0},
+ {148.924103106062, 31.1779943904344, 0},
+ {148.919352118963, 31.1838922371501, 0},
+ {148.799472849811, 31.1782818600765, 0},
+ {148.611359712849, 31.174971600974, 0},
+ {148.396236999599, 31.1717571316225, 0},
+ {148.261656296168, 31.1664757113075, 0},
+ {148.206601404583, 30.9387402170418, 0},
+ {148.157140958359, 30.940556421138, 0},
+ {148.068312140327, 30.7461286147808, 0},
+ {147.909277167796, 30.6914015992271, 0},
+ {147.775828066301, 30.676737847636, 0},
+ {147.64316882586, 30.4872573282424, 0},
+ {147.557888779475, 30.4861627660541, 0},
+ {147.433585260285, 30.2933265124012, 0},
+ {147.372290945371, 30.298583699769, 0},
+ {147.376058654794, 30.0719128674872, 0},
+ {147.280303623615, 30.0575376418558, 0},
+ {147.101664562403, 29.8298715673022, 0},
+ {146.935720904236, 29.8091200933414, 0},
+ {146.806871954552, 29.6592729788216, 0},
+ {146.732635518464, 29.627965691756, 0},
+ {146.612429056458, 29.5190030727153, 0},
+ {146.467367483078, 29.4582637078012, 0},
+ {146.332088847304, 29.4524898114938, 0},
+ {146.352878550054, 29.4563255258691, 0},
+ {146.370971410699, 29.4514801874413, 0},
+ {146.244849606658, 29.4461879791583, 0},
+ {146.153799803075, 29.4523421109696, 0},
+ {146.187857113927, 29.4557840881049, 0},
+ {146.242338968156, 29.4462686622988, 0},
+ {146.236410974269, 29.4480831444334, 0},
+ {146.207737098865, 29.4590685885415, 0},
+ {146.215351956935, 29.4536478674262, 0},
+ {146.229912444086, 29.4468085338994, 0},
+ {146.217560347101, 29.4561733273019, 0},
+ {146.210780627387, 29.2312982614185, 0},
+ {146.222462092413, 29.2319478568841, 0},
+ {146.221652173066, 29.2248582943333, 0},
+ {146.210296298059, 29.0006448362227, 0},
+ {146.215804632574, 28.997980972297, 0},
+ {146.210333053585, 28.8349969601733, 0},
+ {146.00019943733, 28.788379151337, 0},
+ {145.490505320406, 28.7704995933682, 0},
+ {144.971598995673, 28.5795312584269, 0},
+ {144.625536585737, 28.587281220152, 0},
+ {144.273367369703, 28.5662953915921, 0},
+ {143.749428874779, 28.5412345990486, 0},
+ {143.142469524195, 28.5366026292578, 0},
+ {142.587972717291, 28.5291648623419, 0},
+ {142.147294083427, 28.5099777364306, 0},
+ {141.785448353099, 28.497113907737, 0},
+ {141.345436124228, 28.4886054266117, 0},
+ {140.791563189379, 28.4741862649558, 0},
+ {140.224007032862, 28.4568668991683, 0},
+ {139.925376700082, 28.4576446714409, 0},
+ {139.867625680273, 28.4738375287018, 0},
+ {139.780323271457, 28.5314935499584, 0},
+ {139.479401961204, 28.5107348135049, 0},
+ {138.99611628149, 28.5061561268573, 0},
+ {138.586447321792, 28.5772722125886, 0},
+ {138.378574742684, 28.6521379842354, 0},
+ {138.234578928894, 28.6457144725737, 0},
+ {138.017267418599, 28.6278616491252, 0},
+ {137.847567411537, 28.6342337938359, 0},
+ {137.811354409433, 28.6373971243316, 0},
+ {137.650186352901, 28.6208153853476, 0},
+ {137.278675950522, 28.6033952536015, 0},
+ {136.898604069906, 28.8186080114634, 0},
+ {136.639520283124, 28.8422312702966, 0},
+ {136.483341692437, 29.0484526418209, 0},
+ {136.335690784183, 29.159501615131, 0},
+ {136.074391662232, 29.2225215830359, 0},
+ {135.691947208837, 29.3542888520341, 0},
+ {135.374636068261, 29.3692929576235, 0},
+ {135.253270895345, 29.5816419458247, 0},
+ {135.090210532827, 29.8065536969679, 0},
+ {134.707722002905, 29.9591841181255, 0},
+ {134.192829598278, 30.0741561650103, 0},
+ {133.744495735184, 30.1897423040646, 0},
+ {133.502617464066, 30.3878340853037, 0},
+ {133.321220535575, 30.6167701587934, 0},
+ {133.037888569041, 30.7972875171097, 0},
+ {132.603129794956, 30.95156078644, 0},
+ {132.126391908645, 31.1033780978278, 0},
+ {131.771490923505, 31.295170157626, 0},
+ {131.492885364777, 31.4697811772723, 0},
+ {131.211081033869, 31.6164691132517, 0},
+ {130.822848817829, 31.7583170093001, 0},
+ {130.381741269149, 31.9520876002874, 0},
+ {129.982267201902, 32.1754913218904, 0},
+ {129.654287685674, 32.353216368889, 0},
+ {129.359395101463, 32.5064792738999, 0},
+ {129.005072062095, 32.7074629082368, 0},
+ {128.720900978737, 32.9571276244119, 0},
+ {128.627345760206, 33.1533491899354, 0},
+ {128.422234129065, 33.3131636537187, 0},
+ {127.987746495377, 33.5232812699251, 0},
+ {127.436909861728, 33.7529303113767, 0},
+ {127.00737852925, 33.9450635359584, 0},
+ {126.762074256353, 34.1075619419583, 0},
+ {126.558086692657, 34.3175808828448, 0},
+ {126.24129529215, 34.5729550257796, 0},
+ {125.765932782837, 34.7834718841944, 0},
+ {125.308916969268, 34.8799481975396, 0},
+ {124.995475805766, 35.0960343370531, 0},
+ {124.72484626452, 35.3458815371613, 0},
+ {124.336957025747, 35.5909499144766, 0},
+ {123.838231206293, 35.8026544240287, 0},
+ {123.330422954747, 36.0894710136244, 0},
+ {122.923622601729, 36.287008072052, 0},
+ {122.591127372295, 36.4628640311499, 0},
+ {122.261572547631, 36.7243175632237, 0},
+ {121.843567677159, 37.0429412594703, 0},
+ {121.397621352357, 37.2308380437069, 0},
+ {121.116807277145, 37.4746791746553, 0},
+ {120.854276374715, 37.7873533995042, 0},
+ {120.48631772453, 38.0508015958489, 0},
+ {119.980503872742, 38.3043378211302, 0},
+ {119.463495715909, 38.6325785594608, 0},
+ {119.045954035477, 38.8487555067915, 0},
+ {118.759402780364, 39.098207215224, 0},
+ {118.459802605992, 39.4445289162405, 0},
+ {118.065136608472, 39.6782398369567, 0},
+ {117.581345934798, 39.8877324622246, 0},
+ {117.203310761384, 40.2186891471796, 0},
+ {116.888949042344, 40.4648574498661, 0},
+ {116.550233320458, 40.6915186480584, 0},
+ {116.125667528793, 40.9861423779236, 0},
+ {115.65822868024, 41.2656546871391, 0},
+ {115.221914271925, 41.5132942497021, 0},
+ {114.858403547653, 41.7904573675311, 0},
+ {114.525062691606, 42.0572683166535, 0},
+ {114.164138837324, 42.2831733553082, 0},
+ {113.77093207633, 42.5620373465477, 0},
+ {113.422355519963, 42.8577929139778, 0},
+ {113.114185717859, 43.1202508512455, 0},
+ {112.771222631355, 43.4010380280442, 0},
+ {112.403987404548, 43.6738991432556, 0},
+ {112.006210564429, 43.9033527721265, 0},
+ {111.622963939143, 44.1892703722908, 0},
+ {111.26571808739, 44.4733485466747, 0},
+ {110.929770808144, 44.7331414135044, 0},
+ {110.598082506628, 45.0157200668883, 0},
+ {110.253043887691, 45.2796636227409, 0},
+ {110.039821528172, 45.3041829402435, 0},
+ {110.03916648215, 45.3063170623643, 0},
+ {110.141097968804, 45.3058248194365, 0},
+ {110.200798299097, 45.3062309575333, 0},
+ {110.174767026514, 45.3114720681227, 0},
+ {110.153350667539, 45.3133813024514, 0},
+ {110.174031807555, 45.3102579077145, 0},
+ {110.169608735048, 45.3108846699016, 0},
+ {110.164933275394, 45.3152207698766, 0},
+ {110.170281536672, 45.3157551044433, 0},
+ {110.169090622482, 45.3129068249424, 0},
+ {110.171012051105, 45.3170870719378, 0},
+ {110.165876992171, 45.3189859421369, 0},
+ {110.170387884671, 45.3170715434645, 0},
+ {110.171953490527, 45.3183775728217, 0},
+ {110.160693436801, 45.4512601356457, 0},
+ {110.002788717377, 45.9586297554368, 0},
+ {109.593439187185, 46.3928434703439, 0},
+ {109.011859714353, 46.8352083548652, 0},
+ {108.354878234699, 47.3087610606288, 0},
+ {107.652951338705, 47.8330697620481, 0},
+ {106.905278595813, 48.4027606563205, 0},
+ {106.155523402968, 48.8873968751626, 0},
+ {105.449960784856, 49.4137263003879, 0},
+ {104.79687537204, 50.0114413083621, 0},
+ {104.165394387465, 50.5034433207417, 0},
+ {103.493886845637, 51.0315096943159, 0},
+ {102.766110543632, 51.6156567164272, 0},
+ {102.017746030116, 52.0934888229477, 0},
+ {101.352628710412, 52.63299719914, 0},
+ {100.949507106537, 52.8186451184191, 0},
+ {100.792235250818, 53.0745974166854, 0},
+ {100.782892329359, 53.3096994641459, 0},
+ {100.774759404502, 53.5558041007169, 0},
+ {100.709449614501, 53.869786666675, 0},
+ {100.570245261291, 54.0778784697496, 0},
+ {100.33557850817, 54.289061002179, 0},
+ {100.050772604965, 54.6019739826636, 0},
+ {99.7945545501863, 54.9030612422042, 0},
+ {99.6269273425258, 55.0675965952041, 0},
+ {99.601796701566, 55.2027509676897, 0},
+ {99.5949795703668, 55.2832842550219, 0},
+ {99.588886171171, 55.517952614891, 0},
+ {99.5902263526191, 55.7201901879861, 0},
+ {99.5500837187723, 55.8696173722601, 0},
+ {99.438622155211, 55.9425745285003, 0},
+ {99.3519063882477, 56.1312207953556, 0},
+ {99.3550374172544, 56.3703449240371, 0},
+ {99.3894089143418, 56.5546373699362, 0},
+ {99.3830941406462, 56.5643328290911, 0},
+ {99.3771695658116, 56.5681807248668, 0},
+ {99.3837768842672, 56.5690900775789, 0},
+ {99.3808652151179, 56.5677330949056, 0},
+ {99.3811591698253, 56.5714748160902, 0},
+ {99.37944474592, 56.5736848817125, 0},
+ {99.3800506872094, 56.5726341615289, 0},
+ {99.3824791682574, 56.5754171646123, 0},
+ {99.3775030121732, 56.5776653860068, 0},
+ {99.3807246504651, 56.5764741787949, 0},
+ {99.3809988639579, 56.5774006681361, 0},
+ {99.3766770619839, 56.52021832548, 0},
+ {99.3800084862834, 56.4858170584506, 0},
+ {99.3782330520724, 56.4868402789841, 0},
+ {99.3795567638752, 56.4865290057364, 0},
+ {99.3794181672726, 56.4869124224053, 0},
+ {99.3775863850961, 56.4877700026365, 0},
+ {99.3814764330576, 56.4872751429854, 0},
+ {99.3789105495902, 56.4884786294165, 0},
+ {99.3782783151039, 56.4896508468317, 0},
+ {99.3815411708035, 56.4885419438711, 0},
+ {99.3793089510769, 56.4890231668162, 0},
+ {99.3791839099028, 56.4909759448686, 0},
+ {99.3804399371058, 56.4903075485663, 0},
+ {99.3799862554938, 56.4915476221146, 0},
+ {99.3791936615888, 56.4941748526574, 0},
+ {99.3803863678858, 56.4934999298479, 0},
+ {99.3823868283932, 56.493970980352, 0},
+ {99.3802745481433, 56.4951736095534, 0},
+ {99.3812629033792, 56.495753704272, 0},
+ {99.382537780268, 56.4951405597261, 0},
+ {99.3806755153017, 56.4970259202392, 0},
+ {99.3820589938741, 56.4982395459684, 0},
+ {99.3818184103235, 56.4992926770323, 0},
+ {99.3822768706303, 56.5013860330183, 0},
+ {99.3819908208527, 56.5033866025187, 0},
+ {99.381941760934, 56.5044777528465, 0},
+ {99.3835021819093, 56.5063902684403, 0},
+ {99.3838019382633, 56.5076499505579, 0},
+ {99.3834884312105, 56.5096329955751, 0},
+ {99.3836684895793, 56.5116949373161, 0},
+ {99.38440286864, 56.512834090166, 0},
+ {99.3848408609022, 56.5155438830341, 0},
+ {99.3854568171595, 56.5174941926777, 0},
+ {99.3869270048835, 56.5192369583973, 0},
+ {99.3863242064146, 56.5220159079075, 0},
+ {99.3866027595312, 56.5244931249618, 0},
+ {99.38864752941, 56.5265269857046, 0},
+ {99.3890047354277, 56.529460704988, 0}};
diff --git a/src/tests/catch/skyQuaternion/test-skyquaternion.cpp b/src/tests/catch/skyQuaternion/test-skyquaternion.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..4b9aab4aa113a43953cb2f19f2dac1a2ac90565c
--- /dev/null
+++ b/src/tests/catch/skyQuaternion/test-skyquaternion.cpp
@@ -0,0 +1,53 @@
+/* Copyright (c) 2024 Skyward Experimental Rocketry
+ * Author: Emilio Corigliano
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+#include <utils/SkyQuaternion/SkyQuaternion.h>
+
+#include <Eigen/Core>
+#include <catch2/catch.hpp>
+#include <iostream>
+
+#include "test-skyquaternion-data.h"
+
+using namespace Eigen;
+using namespace Boardcore;
+using namespace SkyQuaternion;
+
+void testEulerAngles(const Vector3f &actual, const Vector3f &expected)
+{
+ REQUIRE(actual[0] == Approx(expected[0]).margin(0.0001));
+ REQUIRE(actual[1] == Approx(expected[1]).margin(0.0001));
+ REQUIRE(actual[2] == Approx(expected[2]).margin(0.0001));
+}
+
+TEST_CASE("quat2stepperAngles")
+{
+ assert((inputs.size() == outputs.size()) &&
+ "Input and Output vector sizes don't match");
+
+ for (size_t i = 0; i < inputs.size(); i++)
+ {
+ Vector3f euler =
+ Boardcore::SkyQuaternion::quat2stepperAngles(Vector4f(inputs[i]));
+ testEulerAngles(euler, outputs[i]);
+ }
+}
\ No newline at end of file