Properties

Label 210.3.w.b.17.11
Level 210
Weight 3
Character 210.17
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 17.11
Character \(\chi\) \(=\) 210.17
Dual form 210.3.w.b.173.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36603 + 0.366025i) q^{2} +(1.97985 + 2.25393i) q^{3} +(1.73205 + 1.00000i) q^{4} +(3.75994 + 3.29588i) q^{5} +(1.87953 + 3.80360i) q^{6} +(5.65896 - 4.12022i) q^{7} +(2.00000 + 2.00000i) q^{8} +(-1.16038 + 8.92488i) q^{9} +O(q^{10})\) \(q+(1.36603 + 0.366025i) q^{2} +(1.97985 + 2.25393i) q^{3} +(1.73205 + 1.00000i) q^{4} +(3.75994 + 3.29588i) q^{5} +(1.87953 + 3.80360i) q^{6} +(5.65896 - 4.12022i) q^{7} +(2.00000 + 2.00000i) q^{8} +(-1.16038 + 8.92488i) q^{9} +(3.92980 + 5.87849i) q^{10} +(-10.7431 - 6.20251i) q^{11} +(1.17528 + 5.88377i) q^{12} +(-17.5103 - 17.5103i) q^{13} +(9.23839 - 3.55700i) q^{14} +(0.0154410 + 15.0000i) q^{15} +(2.00000 + 3.46410i) q^{16} +(9.60968 - 2.57491i) q^{17} +(-4.85184 + 11.7669i) q^{18} +(6.00440 + 10.3999i) q^{19} +(3.21653 + 9.46858i) q^{20} +(20.4906 + 4.59747i) q^{21} +(-12.4050 - 12.4050i) q^{22} +(-0.588343 + 2.19573i) q^{23} +(-0.548153 + 8.46756i) q^{24} +(3.27431 + 24.7847i) q^{25} +(-17.5103 - 30.3287i) q^{26} +(-22.4134 + 15.0545i) q^{27} +(13.9218 - 1.47747i) q^{28} +19.7542 q^{29} +(-5.46929 + 20.4960i) q^{30} +(-45.3975 - 26.2103i) q^{31} +(1.46410 + 5.46410i) q^{32} +(-7.28965 - 36.4941i) q^{33} +14.0695 q^{34} +(34.8571 + 3.15949i) q^{35} +(-10.9347 + 14.2980i) q^{36} +(-1.97085 + 7.35531i) q^{37} +(4.39553 + 16.4043i) q^{38} +(4.79916 - 74.1348i) q^{39} +(0.928115 + 14.1116i) q^{40} +18.4715 q^{41} +(26.3078 + 13.7803i) q^{42} +(33.8663 - 33.8663i) q^{43} +(-12.4050 - 21.4861i) q^{44} +(-33.7783 + 29.7326i) q^{45} +(-1.60738 + 2.78407i) q^{46} +(-6.09028 + 22.7292i) q^{47} +(-3.84813 + 11.3663i) q^{48} +(15.0476 - 46.6323i) q^{49} +(-4.59902 + 35.0549i) q^{50} +(24.8294 + 16.5616i) q^{51} +(-12.8184 - 47.8391i) q^{52} +(-76.5487 + 20.5112i) q^{53} +(-36.1276 + 12.3610i) q^{54} +(-19.9505 - 58.7289i) q^{55} +(19.5584 + 3.07748i) q^{56} +(-11.5529 + 34.1238i) q^{57} +(26.9848 + 7.23056i) q^{58} +(-6.05375 - 3.49513i) q^{59} +(-14.9732 + 25.9962i) q^{60} +(-5.55891 + 3.20944i) q^{61} +(-52.4206 - 52.4206i) q^{62} +(30.2059 + 55.2865i) q^{63} +8.00000i q^{64} +(-8.12579 - 123.550i) q^{65} +(3.39992 - 52.5201i) q^{66} +(74.1402 - 19.8658i) q^{67} +(19.2194 + 5.14981i) q^{68} +(-6.11384 + 3.02113i) q^{69} +(46.4592 + 17.0745i) q^{70} -29.3260i q^{71} +(-20.1705 + 15.5290i) q^{72} +(14.2733 - 3.82451i) q^{73} +(-5.38446 + 9.32616i) q^{74} +(-49.3802 + 56.4500i) q^{75} +24.0176i q^{76} +(-86.3502 + 9.16400i) q^{77} +(33.6910 - 99.5134i) q^{78} +(118.620 - 68.4854i) q^{79} +(-3.89739 + 19.6166i) q^{80} +(-78.3070 - 20.7125i) q^{81} +(25.2325 + 6.76103i) q^{82} +(-12.9941 + 12.9941i) q^{83} +(30.8932 + 28.4536i) q^{84} +(44.6184 + 21.9909i) q^{85} +(58.6581 - 33.8663i) q^{86} +(39.1105 + 44.5246i) q^{87} +(-9.08110 - 33.8911i) q^{88} +(-91.0404 + 52.5622i) q^{89} +(-57.0249 + 28.2517i) q^{90} +(-171.236 - 26.9438i) q^{91} +(-3.21477 + 3.21477i) q^{92} +(-30.8043 - 154.215i) q^{93} +(-16.6389 + 28.8195i) q^{94} +(-11.7008 + 58.8929i) q^{95} +(-9.41699 + 14.1181i) q^{96} +(-69.6870 + 69.6870i) q^{97} +(37.6240 - 58.1931i) q^{98} +(67.8227 - 88.6833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + O(q^{10}) \) \( 64q + 32q^{2} + 6q^{3} + 12q^{5} + 4q^{7} + 128q^{8} + 16q^{9} + 24q^{10} - 12q^{12} + 16q^{14} + 68q^{15} + 128q^{16} - 12q^{18} + 36q^{21} + 16q^{22} + 12q^{23} - 16q^{25} + 8q^{28} + 112q^{29} + 22q^{30} - 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} - 24q^{38} - 64q^{39} - 88q^{42} + 32q^{43} + 16q^{44} - 474q^{45} - 24q^{46} + 96q^{47} - 40q^{50} - 84q^{51} - 56q^{53} + 72q^{54} - 220q^{57} + 56q^{58} - 672q^{59} + 24q^{60} + 600q^{61} - 114q^{63} - 28q^{65} + 16q^{67} + 40q^{72} - 624q^{73} + 64q^{74} - 144q^{75} - 208q^{77} - 248q^{78} + 48q^{80} - 64q^{81} - 192q^{82} - 160q^{84} - 152q^{85} - 672q^{87} - 16q^{88} - 144q^{89} - 232q^{91} - 48q^{92} - 202q^{93} - 136q^{95} - 48q^{96} - 128q^{98} - 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36603 + 0.366025i 0.683013 + 0.183013i
\(3\) 1.97985 + 2.25393i 0.659950 + 0.751309i
\(4\) 1.73205 + 1.00000i 0.433013 + 0.250000i
\(5\) 3.75994 + 3.29588i 0.751988 + 0.659177i
\(6\) 1.87953 + 3.80360i 0.313255 + 0.633933i
\(7\) 5.65896 4.12022i 0.808423 0.588602i
\(8\) 2.00000 + 2.00000i 0.250000 + 0.250000i
\(9\) −1.16038 + 8.92488i −0.128931 + 0.991654i
\(10\) 3.92980 + 5.87849i 0.392980 + 0.587849i
\(11\) −10.7431 6.20251i −0.976641 0.563864i −0.0753870 0.997154i \(-0.524019\pi\)
−0.901254 + 0.433290i \(0.857353\pi\)
\(12\) 1.17528 + 5.88377i 0.0979396 + 0.490314i
\(13\) −17.5103 17.5103i −1.34695 1.34695i −0.888958 0.457989i \(-0.848570\pi\)
−0.457989 0.888958i \(-0.651430\pi\)
\(14\) 9.23839 3.55700i 0.659885 0.254071i
\(15\) 0.0154410 + 15.0000i 0.00102940 + 0.999999i
\(16\) 2.00000 + 3.46410i 0.125000 + 0.216506i
\(17\) 9.60968 2.57491i 0.565275 0.151465i 0.0351465 0.999382i \(-0.488810\pi\)
0.530129 + 0.847917i \(0.322144\pi\)
\(18\) −4.85184 + 11.7669i −0.269547 + 0.653716i
\(19\) 6.00440 + 10.3999i 0.316021 + 0.547365i 0.979654 0.200694i \(-0.0643196\pi\)
−0.663633 + 0.748058i \(0.730986\pi\)
\(20\) 3.21653 + 9.46858i 0.160826 + 0.473429i
\(21\) 20.4906 + 4.59747i 0.975741 + 0.218927i
\(22\) −12.4050 12.4050i −0.563864 0.563864i
\(23\) −0.588343 + 2.19573i −0.0255801 + 0.0954664i −0.977536 0.210770i \(-0.932403\pi\)
0.951956 + 0.306236i \(0.0990697\pi\)
\(24\) −0.548153 + 8.46756i −0.0228397 + 0.352815i
\(25\) 3.27431 + 24.7847i 0.130972 + 0.991386i
\(26\) −17.5103 30.3287i −0.673473 1.16649i
\(27\) −22.4134 + 15.0545i −0.830127 + 0.557575i
\(28\) 13.9218 1.47747i 0.497208 0.0527667i
\(29\) 19.7542 0.681181 0.340590 0.940212i \(-0.389373\pi\)
0.340590 + 0.940212i \(0.389373\pi\)
\(30\) −5.46929 + 20.4960i −0.182310 + 0.683201i
\(31\) −45.3975 26.2103i −1.46444 0.845493i −0.465225 0.885193i \(-0.654026\pi\)
−0.999212 + 0.0396998i \(0.987360\pi\)
\(32\) 1.46410 + 5.46410i 0.0457532 + 0.170753i
\(33\) −7.28965 36.4941i −0.220899 1.10588i
\(34\) 14.0695 0.413810
\(35\) 34.8571 + 3.15949i 0.995917 + 0.0902712i
\(36\) −10.9347 + 14.2980i −0.303742 + 0.397166i
\(37\) −1.97085 + 7.35531i −0.0532662 + 0.198792i −0.987431 0.158049i \(-0.949480\pi\)
0.934165 + 0.356841i \(0.116146\pi\)
\(38\) 4.39553 + 16.4043i 0.115672 + 0.431693i
\(39\) 4.79916 74.1348i 0.123055 1.90089i
\(40\) 0.928115 + 14.1116i 0.0232029 + 0.352791i
\(41\) 18.4715 0.450524 0.225262 0.974298i \(-0.427676\pi\)
0.225262 + 0.974298i \(0.427676\pi\)
\(42\) 26.3078 + 13.7803i 0.626377 + 0.328103i
\(43\) 33.8663 33.8663i 0.787588 0.787588i −0.193511 0.981098i \(-0.561987\pi\)
0.981098 + 0.193511i \(0.0619874\pi\)
\(44\) −12.4050 21.4861i −0.281932 0.488321i
\(45\) −33.7783 + 29.7326i −0.750629 + 0.660723i
\(46\) −1.60738 + 2.78407i −0.0349431 + 0.0605233i
\(47\) −6.09028 + 22.7292i −0.129580 + 0.483600i −0.999961 0.00877822i \(-0.997206\pi\)
0.870381 + 0.492379i \(0.163872\pi\)
\(48\) −3.84813 + 11.3663i −0.0801694 + 0.236797i
\(49\) 15.0476 46.6323i 0.307094 0.951679i
\(50\) −4.59902 + 35.0549i −0.0919805 + 0.701099i
\(51\) 24.8294 + 16.5616i 0.486851 + 0.324737i
\(52\) −12.8184 47.8391i −0.246508 0.919982i
\(53\) −76.5487 + 20.5112i −1.44432 + 0.387003i −0.894043 0.447982i \(-0.852143\pi\)
−0.550273 + 0.834985i \(0.685476\pi\)
\(54\) −36.1276 + 12.3610i −0.669030 + 0.228907i
\(55\) −19.9505 58.7289i −0.362737 1.06780i
\(56\) 19.5584 + 3.07748i 0.349256 + 0.0549550i
\(57\) −11.5529 + 34.1238i −0.202682 + 0.598663i
\(58\) 26.9848 + 7.23056i 0.465255 + 0.124665i
\(59\) −6.05375 3.49513i −0.102606 0.0592396i 0.447819 0.894124i \(-0.352201\pi\)
−0.550425 + 0.834885i \(0.685534\pi\)
\(60\) −14.9732 + 25.9962i −0.249554 + 0.433270i
\(61\) −5.55891 + 3.20944i −0.0911296 + 0.0526137i −0.544872 0.838519i \(-0.683422\pi\)
0.453743 + 0.891133i \(0.350089\pi\)
\(62\) −52.4206 52.4206i −0.845493 0.845493i
\(63\) 30.2059 + 55.2865i 0.479459 + 0.877564i
\(64\) 8.00000i 0.125000i
\(65\) −8.12579 123.550i −0.125012 1.90076i
\(66\) 3.39992 52.5201i 0.0515140 0.795759i
\(67\) 74.1402 19.8658i 1.10657 0.296505i 0.341133 0.940015i \(-0.389189\pi\)
0.765437 + 0.643510i \(0.222523\pi\)
\(68\) 19.2194 + 5.14981i 0.282638 + 0.0757325i
\(69\) −6.11384 + 3.02113i −0.0886064 + 0.0437845i
\(70\) 46.4592 + 17.0745i 0.663703 + 0.243922i
\(71\) 29.3260i 0.413043i −0.978442 0.206521i \(-0.933786\pi\)
0.978442 0.206521i \(-0.0662143\pi\)
\(72\) −20.1705 + 15.5290i −0.280146 + 0.215681i
\(73\) 14.2733 3.82451i 0.195524 0.0523906i −0.159728 0.987161i \(-0.551062\pi\)
0.355252 + 0.934770i \(0.384395\pi\)
\(74\) −5.38446 + 9.32616i −0.0727630 + 0.126029i
\(75\) −49.3802 + 56.4500i −0.658402 + 0.752666i
\(76\) 24.0176i 0.316021i
\(77\) −86.3502 + 9.16400i −1.12143 + 0.119013i
\(78\) 33.6910 99.5134i 0.431936 1.27581i
\(79\) 118.620 68.4854i 1.50152 0.866904i 0.501523 0.865144i \(-0.332773\pi\)
0.999998 0.00175954i \(-0.000560079\pi\)
\(80\) −3.89739 + 19.6166i −0.0487174 + 0.245207i
\(81\) −78.3070 20.7125i −0.966754 0.255710i
\(82\) 25.2325 + 6.76103i 0.307714 + 0.0824516i
\(83\) −12.9941 + 12.9941i −0.156555 + 0.156555i −0.781038 0.624483i \(-0.785310\pi\)
0.624483 + 0.781038i \(0.285310\pi\)
\(84\) 30.8932 + 28.4536i 0.367777 + 0.338733i
\(85\) 44.6184 + 21.9909i 0.524923 + 0.258716i
\(86\) 58.6581 33.8663i 0.682071 0.393794i
\(87\) 39.1105 + 44.5246i 0.449546 + 0.511777i
\(88\) −9.08110 33.8911i −0.103194 0.385126i
\(89\) −91.0404 + 52.5622i −1.02293 + 0.590586i −0.914950 0.403567i \(-0.867770\pi\)
−0.107976 + 0.994154i \(0.534437\pi\)
\(90\) −57.0249 + 28.2517i −0.633610 + 0.313908i
\(91\) −171.236 26.9438i −1.88172 0.296086i
\(92\) −3.21477 + 3.21477i −0.0349431 + 0.0349431i
\(93\) −30.8043 154.215i −0.331229 1.65823i
\(94\) −16.6389 + 28.8195i −0.177010 + 0.306590i
\(95\) −11.7008 + 58.8929i −0.123166 + 0.619926i
\(96\) −9.41699 + 14.1181i −0.0980936 + 0.147063i
\(97\) −69.6870 + 69.6870i −0.718423 + 0.718423i −0.968282 0.249859i \(-0.919616\pi\)
0.249859 + 0.968282i \(0.419616\pi\)
\(98\) 37.6240 58.1931i 0.383919 0.593807i
\(99\) 67.8227 88.6833i 0.685077 0.895790i
\(100\) −19.1134 + 46.2026i −0.191134 + 0.462026i
\(101\) −64.9654 + 112.523i −0.643222 + 1.11409i 0.341487 + 0.939886i \(0.389069\pi\)
−0.984709 + 0.174207i \(0.944264\pi\)
\(102\) 27.8556 + 31.7117i 0.273094 + 0.310899i
\(103\) 17.3899 64.8999i 0.168834 0.630096i −0.828686 0.559713i \(-0.810911\pi\)
0.997520 0.0703830i \(-0.0224221\pi\)
\(104\) 70.0412i 0.673473i
\(105\) 61.8906 + 84.8207i 0.589434 + 0.807816i
\(106\) −112.075 −1.05731
\(107\) 98.6262 + 26.4268i 0.921740 + 0.246979i 0.688329 0.725399i \(-0.258345\pi\)
0.233411 + 0.972378i \(0.425011\pi\)
\(108\) −53.8757 + 3.66179i −0.498849 + 0.0339055i
\(109\) −27.6546 15.9664i −0.253712 0.146481i 0.367751 0.929924i \(-0.380128\pi\)
−0.621463 + 0.783444i \(0.713461\pi\)
\(110\) −5.75664 87.5276i −0.0523331 0.795705i
\(111\) −20.4803 + 10.1203i −0.184507 + 0.0911736i
\(112\) 25.5908 + 11.3628i 0.228489 + 0.101453i
\(113\) 156.967 + 156.967i 1.38909 + 1.38909i 0.827235 + 0.561857i \(0.189913\pi\)
0.561857 + 0.827235i \(0.310087\pi\)
\(114\) −28.2717 + 42.3853i −0.247997 + 0.371801i
\(115\) −9.44900 + 6.31669i −0.0821652 + 0.0549278i
\(116\) 34.2154 + 19.7542i 0.294960 + 0.170295i
\(117\) 176.596 135.959i 1.50937 1.16204i
\(118\) −6.99027 6.99027i −0.0592396 0.0592396i
\(119\) 43.7716 54.1653i 0.367829 0.455170i
\(120\) −29.9691 + 30.0309i −0.249743 + 0.250257i
\(121\) 16.4422 + 28.4787i 0.135886 + 0.235361i
\(122\) −8.76834 + 2.34947i −0.0718717 + 0.0192580i
\(123\) 36.5708 + 41.6334i 0.297324 + 0.338483i
\(124\) −52.4206 90.7951i −0.422746 0.732218i
\(125\) −69.3761 + 103.981i −0.555009 + 0.831844i
\(126\) 21.0258 + 86.5790i 0.166871 + 0.687135i
\(127\) −28.1408 28.1408i −0.221581 0.221581i 0.587583 0.809164i \(-0.300080\pi\)
−0.809164 + 0.587583i \(0.800080\pi\)
\(128\) −2.92820 + 10.9282i −0.0228766 + 0.0853766i
\(129\) 143.382 + 9.28195i 1.11149 + 0.0719531i
\(130\) 34.1223 171.746i 0.262479 1.32112i
\(131\) −90.6747 157.053i −0.692173 1.19888i −0.971124 0.238574i \(-0.923320\pi\)
0.278951 0.960305i \(-0.410013\pi\)
\(132\) 23.8681 70.4993i 0.180819 0.534086i
\(133\) 76.8286 + 34.1133i 0.577659 + 0.256491i
\(134\) 108.549 0.810066
\(135\) −133.891 17.2679i −0.991786 0.127910i
\(136\) 24.3692 + 14.0695i 0.179185 + 0.103453i
\(137\) 32.9109 + 122.825i 0.240225 + 0.896533i 0.975723 + 0.219006i \(0.0702815\pi\)
−0.735498 + 0.677527i \(0.763052\pi\)
\(138\) −9.45747 + 1.88912i −0.0685324 + 0.0136893i
\(139\) −43.3069 −0.311560 −0.155780 0.987792i \(-0.549789\pi\)
−0.155780 + 0.987792i \(0.549789\pi\)
\(140\) 57.2148 + 40.3295i 0.408677 + 0.288068i
\(141\) −63.2878 + 31.2734i −0.448850 + 0.221797i
\(142\) 10.7341 40.0601i 0.0755921 0.282113i
\(143\) 79.5064 + 296.722i 0.555989 + 2.07498i
\(144\) −33.2375 + 13.8301i −0.230816 + 0.0960423i
\(145\) 74.2748 + 65.1077i 0.512240 + 0.449019i
\(146\) 20.8975 0.143134
\(147\) 134.898 58.4087i 0.917672 0.397338i
\(148\) −10.7689 + 10.7689i −0.0727630 + 0.0727630i
\(149\) −25.1494 43.5600i −0.168788 0.292349i 0.769206 0.639001i \(-0.220652\pi\)
−0.937994 + 0.346652i \(0.887319\pi\)
\(150\) −88.1167 + 59.0377i −0.587445 + 0.393585i
\(151\) −100.541 + 174.142i −0.665832 + 1.15326i 0.313227 + 0.949678i \(0.398590\pi\)
−0.979059 + 0.203577i \(0.934743\pi\)
\(152\) −8.79106 + 32.8087i −0.0578359 + 0.215846i
\(153\) 11.8299 + 88.7531i 0.0773194 + 0.580086i
\(154\) −121.311 19.0881i −0.787732 0.123949i
\(155\) −84.3060 248.174i −0.543910 1.60112i
\(156\) 82.4472 123.606i 0.528507 0.792346i
\(157\) 74.9231 + 279.617i 0.477217 + 1.78100i 0.612806 + 0.790233i \(0.290041\pi\)
−0.135589 + 0.990765i \(0.543293\pi\)
\(158\) 187.106 50.1348i 1.18421 0.317309i
\(159\) −197.786 131.926i −1.24394 0.829725i
\(160\) −12.5041 + 25.3702i −0.0781507 + 0.158564i
\(161\) 5.71746 + 14.8496i 0.0355122 + 0.0922337i
\(162\) −99.3881 56.9562i −0.613507 0.351581i
\(163\) 75.7586 + 20.2995i 0.464777 + 0.124537i 0.483605 0.875286i \(-0.339327\pi\)
−0.0188285 + 0.999823i \(0.505994\pi\)
\(164\) 31.9936 + 18.4715i 0.195083 + 0.112631i
\(165\) 92.8717 161.242i 0.562859 0.977221i
\(166\) −22.5064 + 12.9941i −0.135581 + 0.0782777i
\(167\) 144.633 + 144.633i 0.866063 + 0.866063i 0.992034 0.125971i \(-0.0402046\pi\)
−0.125971 + 0.992034i \(0.540205\pi\)
\(168\) 31.7862 + 50.1761i 0.189204 + 0.298667i
\(169\) 444.222i 2.62853i
\(170\) 52.9007 + 46.3716i 0.311180 + 0.272774i
\(171\) −99.7855 + 41.5207i −0.583541 + 0.242811i
\(172\) 92.5244 24.7918i 0.537932 0.144139i
\(173\) −197.090 52.8100i −1.13925 0.305260i −0.360598 0.932721i \(-0.617427\pi\)
−0.778648 + 0.627461i \(0.784094\pi\)
\(174\) 37.1287 + 75.1372i 0.213384 + 0.431823i
\(175\) 120.647 + 126.764i 0.689413 + 0.724368i
\(176\) 49.6201i 0.281932i
\(177\) −4.10774 20.5646i −0.0232076 0.116184i
\(178\) −143.603 + 38.4782i −0.806756 + 0.216170i
\(179\) −41.2899 + 71.5162i −0.230670 + 0.399532i −0.958005 0.286750i \(-0.907425\pi\)
0.727336 + 0.686282i \(0.240758\pi\)
\(180\) −88.2383 + 17.7200i −0.490213 + 0.0984443i
\(181\) 255.798i 1.41325i −0.707588 0.706625i \(-0.750217\pi\)
0.707588 0.706625i \(-0.249783\pi\)
\(182\) −224.051 99.4828i −1.23105 0.546609i
\(183\) −18.2396 6.17517i −0.0996702 0.0337441i
\(184\) −5.56814 + 3.21477i −0.0302616 + 0.0174716i
\(185\) −31.6525 + 21.1598i −0.171095 + 0.114378i
\(186\) 14.3672 221.937i 0.0772432 1.19321i
\(187\) −119.208 31.9417i −0.637477 0.170811i
\(188\) −33.2779 + 33.2779i −0.177010 + 0.177010i
\(189\) −64.8087 + 177.541i −0.342903 + 0.939371i
\(190\) −37.5398 + 76.1665i −0.197578 + 0.400876i
\(191\) 203.101 117.260i 1.06335 0.613928i 0.136996 0.990572i \(-0.456255\pi\)
0.926358 + 0.376644i \(0.122922\pi\)
\(192\) −18.0314 + 15.8388i −0.0939136 + 0.0824938i
\(193\) 16.1562 + 60.2957i 0.0837108 + 0.312413i 0.995067 0.0992057i \(-0.0316302\pi\)
−0.911356 + 0.411619i \(0.864964\pi\)
\(194\) −120.701 + 69.6870i −0.622173 + 0.359212i
\(195\) 262.384 262.925i 1.34556 1.34833i
\(196\) 72.6955 65.7219i 0.370895 0.335316i
\(197\) 72.9575 72.9575i 0.370342 0.370342i −0.497259 0.867602i \(-0.665660\pi\)
0.867602 + 0.497259i \(0.165660\pi\)
\(198\) 125.108 96.3188i 0.631858 0.486458i
\(199\) 98.5803 170.746i 0.495378 0.858020i −0.504608 0.863349i \(-0.668363\pi\)
0.999986 + 0.00532864i \(0.00169617\pi\)
\(200\) −43.0207 + 56.1179i −0.215103 + 0.280590i
\(201\) 191.563 + 127.775i 0.953048 + 0.635698i
\(202\) −129.931 + 129.931i −0.643222 + 0.643222i
\(203\) 111.788 81.3918i 0.550682 0.400945i
\(204\) 26.4442 + 53.5149i 0.129628 + 0.262328i
\(205\) 69.4517 + 60.8799i 0.338789 + 0.296975i
\(206\) 47.5100 82.2898i 0.230631 0.399465i
\(207\) −18.9139 7.79877i −0.0913715 0.0376752i
\(208\) 25.6369 95.6781i 0.123254 0.459991i
\(209\) 148.969i 0.712772i
\(210\) 53.4976 + 138.521i 0.254751 + 0.659623i
\(211\) 6.79097 0.0321847 0.0160924 0.999871i \(-0.494877\pi\)
0.0160924 + 0.999871i \(0.494877\pi\)
\(212\) −153.097 41.0223i −0.722158 0.193502i
\(213\) 66.0988 58.0612i 0.310323 0.272588i
\(214\) 125.053 + 72.1994i 0.584360 + 0.337380i
\(215\) 238.954 15.7159i 1.11142 0.0730972i
\(216\) −74.9359 14.7178i −0.346925 0.0681379i
\(217\) −364.895 + 38.7248i −1.68154 + 0.178455i
\(218\) −31.9328 31.9328i −0.146481 0.146481i
\(219\) 36.8791 + 24.5990i 0.168398 + 0.112324i
\(220\) 24.1736 121.672i 0.109880 0.553054i
\(221\) −213.356 123.181i −0.965411 0.557380i
\(222\) −31.6809 + 6.32822i −0.142707 + 0.0285055i
\(223\) −120.317 120.317i −0.539537 0.539537i 0.383856 0.923393i \(-0.374596\pi\)
−0.923393 + 0.383856i \(0.874596\pi\)
\(224\) 30.7986 + 24.8887i 0.137494 + 0.111110i
\(225\) −225.000 + 0.463230i −0.999998 + 0.00205880i
\(226\) 156.967 + 271.875i 0.694546 + 1.20299i
\(227\) −342.548 + 91.7855i −1.50902 + 0.404342i −0.916111 0.400925i \(-0.868689\pi\)
−0.592912 + 0.805267i \(0.702022\pi\)
\(228\) −54.1340 + 47.5513i −0.237430 + 0.208558i
\(229\) −40.1136 69.4788i −0.175169 0.303401i 0.765051 0.643970i \(-0.222714\pi\)
−0.940220 + 0.340569i \(0.889380\pi\)
\(230\) −15.2196 + 5.17019i −0.0661723 + 0.0224791i
\(231\) −191.615 176.484i −0.829504 0.763999i
\(232\) 39.5085 + 39.5085i 0.170295 + 0.170295i
\(233\) −22.9825 + 85.7717i −0.0986372 + 0.368119i −0.997546 0.0700172i \(-0.977695\pi\)
0.898909 + 0.438136i \(0.144361\pi\)
\(234\) 290.999 121.085i 1.24359 0.517456i
\(235\) −97.8119 + 65.3877i −0.416221 + 0.278245i
\(236\) −6.99027 12.1075i −0.0296198 0.0513030i
\(237\) 389.211 + 131.770i 1.64224 + 0.555993i
\(238\) 79.6190 57.9696i 0.334534 0.243570i
\(239\) −324.480 −1.35766 −0.678828 0.734297i \(-0.737512\pi\)
−0.678828 + 0.734297i \(0.737512\pi\)
\(240\) −51.9306 + 30.0535i −0.216378 + 0.125223i
\(241\) 199.017 + 114.903i 0.825799 + 0.476775i 0.852412 0.522871i \(-0.175139\pi\)
−0.0266134 + 0.999646i \(0.508472\pi\)
\(242\) 12.0365 + 44.9208i 0.0497376 + 0.185623i
\(243\) −108.352 217.506i −0.445892 0.895087i
\(244\) −12.8377 −0.0526137
\(245\) 210.273 125.739i 0.858256 0.513222i
\(246\) 34.7178 + 70.2581i 0.141129 + 0.285602i
\(247\) 76.9671 287.245i 0.311607 1.16293i
\(248\) −38.3745 143.216i −0.154736 0.577482i
\(249\) −55.0141 3.56138i −0.220940 0.0143027i
\(250\) −132.829 + 116.647i −0.531316 + 0.466587i
\(251\) −28.3486 −0.112943 −0.0564713 0.998404i \(-0.517985\pi\)
−0.0564713 + 0.998404i \(0.517985\pi\)
\(252\) −2.96837 + 125.965i −0.0117792 + 0.499861i
\(253\) 19.9396 19.9396i 0.0788127 0.0788127i
\(254\) −28.1408 48.7412i −0.110790 0.191895i
\(255\) 38.7720 + 144.105i 0.152047 + 0.565119i
\(256\) −8.00000 + 13.8564i −0.0312500 + 0.0541266i
\(257\) 47.9061 178.788i 0.186405 0.695673i −0.807920 0.589292i \(-0.799407\pi\)
0.994325 0.106382i \(-0.0339265\pi\)
\(258\) 192.466 + 65.1609i 0.745994 + 0.252562i
\(259\) 19.1525 + 49.7437i 0.0739480 + 0.192061i
\(260\) 109.475 222.120i 0.421059 0.854308i
\(261\) −22.9224 + 176.304i −0.0878253 + 0.675495i
\(262\) −66.3785 247.728i −0.253353 0.945526i
\(263\) 148.547 39.8031i 0.564818 0.151343i 0.0348993 0.999391i \(-0.488889\pi\)
0.529919 + 0.848048i \(0.322222\pi\)
\(264\) 58.4089 87.5675i 0.221246 0.331695i
\(265\) −355.421 175.175i −1.34121 0.661037i
\(266\) 92.4635 + 74.7209i 0.347607 + 0.280906i
\(267\) −298.718 101.133i −1.11879 0.378776i
\(268\) 148.280 + 39.7316i 0.553285 + 0.148252i
\(269\) −411.851 237.783i −1.53105 0.883950i −0.999314 0.0370376i \(-0.988208\pi\)
−0.531732 0.846912i \(-0.678459\pi\)
\(270\) −176.578 72.5959i −0.653993 0.268874i
\(271\) 319.911 184.701i 1.18048 0.681552i 0.224356 0.974507i \(-0.427972\pi\)
0.956126 + 0.292955i \(0.0946387\pi\)
\(272\) 28.1391 + 28.1391i 0.103453 + 0.103453i
\(273\) −278.293 439.299i −1.01939 1.60915i
\(274\) 179.828i 0.656308i
\(275\) 118.551 286.572i 0.431094 1.04208i
\(276\) −13.6106 0.881092i −0.0493138 0.00319236i
\(277\) −7.19180 + 1.92704i −0.0259632 + 0.00695682i −0.271777 0.962360i \(-0.587611\pi\)
0.245814 + 0.969317i \(0.420945\pi\)
\(278\) −59.1583 15.8514i −0.212800 0.0570195i
\(279\) 286.602 374.754i 1.02725 1.34320i
\(280\) 63.3952 + 76.0332i 0.226412 + 0.271547i
\(281\) 250.182i 0.890329i 0.895449 + 0.445164i \(0.146855\pi\)
−0.895449 + 0.445164i \(0.853145\pi\)
\(282\) −97.8997 + 19.5553i −0.347162 + 0.0693452i
\(283\) −299.069 + 80.1352i −1.05678 + 0.283163i −0.745051 0.667008i \(-0.767575\pi\)
−0.311729 + 0.950171i \(0.600908\pi\)
\(284\) 29.3260 50.7942i 0.103261 0.178853i
\(285\) −155.906 + 90.2266i −0.547039 + 0.316584i
\(286\) 434.431i 1.51899i
\(287\) 104.529 76.1066i 0.364214 0.265180i
\(288\) −50.4654 + 6.72651i −0.175227 + 0.0233559i
\(289\) −164.566 + 95.0120i −0.569431 + 0.328761i
\(290\) 77.6302 + 116.125i 0.267690 + 0.400432i
\(291\) −295.040 19.0996i −1.01388 0.0656343i
\(292\) 28.5466 + 7.64903i 0.0977622 + 0.0261953i
\(293\) −243.373 + 243.373i −0.830625 + 0.830625i −0.987602 0.156977i \(-0.949825\pi\)
0.156977 + 0.987602i \(0.449825\pi\)
\(294\) 205.653 30.4118i 0.699500 0.103441i
\(295\) −11.2422 33.0940i −0.0381091 0.112183i
\(296\) −18.6523 + 10.7689i −0.0630146 + 0.0363815i
\(297\) 334.164 22.7123i 1.12513 0.0764723i
\(298\) −18.4106 68.7093i −0.0617806 0.230568i
\(299\) 48.7499 28.1458i 0.163043 0.0941331i
\(300\) −141.979 + 48.3941i −0.473263 + 0.161314i
\(301\) 52.1114 331.184i 0.173128 1.10028i
\(302\) −201.081 + 201.081i −0.665832 + 0.665832i
\(303\) −382.241 + 76.3522i −1.26152 + 0.251988i
\(304\) −24.0176 + 41.5997i −0.0790053 + 0.136841i
\(305\) −31.4791 6.25422i −0.103210 0.0205056i
\(306\) −16.3260 + 125.569i −0.0533530 + 0.410356i
\(307\) −93.3285 + 93.3285i −0.304002 + 0.304002i −0.842577 0.538576i \(-0.818963\pi\)
0.538576 + 0.842577i \(0.318963\pi\)
\(308\) −158.727 70.4777i −0.515347 0.228824i
\(309\) 180.709 89.2967i 0.584819 0.288986i
\(310\) −24.3262 369.870i −0.0784715 1.19313i
\(311\) 256.340 443.994i 0.824245 1.42763i −0.0782503 0.996934i \(-0.524933\pi\)
0.902495 0.430700i \(-0.141733\pi\)
\(312\) 157.868 138.671i 0.505987 0.444459i
\(313\) −102.373 + 382.062i −0.327071 + 1.22064i 0.585143 + 0.810930i \(0.301038\pi\)
−0.912214 + 0.409715i \(0.865628\pi\)
\(314\) 409.387i 1.30378i
\(315\) −68.6455 + 307.429i −0.217922 + 0.975966i
\(316\) 273.942 0.866904
\(317\) −40.4015 10.8255i −0.127449 0.0341500i 0.194530 0.980896i \(-0.437682\pi\)
−0.321980 + 0.946747i \(0.604348\pi\)
\(318\) −221.892 252.609i −0.697774 0.794368i
\(319\) −212.221 122.526i −0.665269 0.384094i
\(320\) −26.3671 + 30.0795i −0.0823971 + 0.0939985i
\(321\) 135.701 + 274.617i 0.422745 + 0.855506i
\(322\) 2.37486 + 22.3777i 0.00737533 + 0.0694960i
\(323\) 84.4792 + 84.4792i 0.261546 + 0.261546i
\(324\) −114.919 114.182i −0.354689 0.352414i
\(325\) 376.653 491.321i 1.15893 1.51176i
\(326\) 96.0581 + 55.4592i 0.294657 + 0.170120i
\(327\) −18.7649 93.9426i −0.0573850 0.287286i
\(328\) 36.9430 + 36.9430i 0.112631 + 0.112631i
\(329\) 59.1847 + 153.717i 0.179893 + 0.467225i
\(330\) 185.884 186.267i 0.563283 0.564444i
\(331\) 22.6830 + 39.2881i 0.0685287 + 0.118695i 0.898254 0.439477i \(-0.144836\pi\)
−0.829725 + 0.558172i \(0.811503\pi\)
\(332\) −35.5005 + 9.51234i −0.106929 + 0.0286516i
\(333\) −63.3583 26.1245i −0.190265 0.0784521i
\(334\) 144.633 + 250.511i 0.433032 + 0.750033i
\(335\) 344.238 + 169.663i 1.02758 + 0.506457i
\(336\) 25.0550 + 80.1763i 0.0745686 + 0.238620i
\(337\) −13.0476 13.0476i −0.0387170 0.0387170i 0.687483 0.726200i \(-0.258715\pi\)
−0.726200 + 0.687483i \(0.758715\pi\)
\(338\) −162.596 + 606.818i −0.481055 + 1.79532i
\(339\) −43.0210 + 664.565i −0.126906 + 1.96037i
\(340\) 55.2905 + 82.7078i 0.162619 + 0.243258i
\(341\) 325.139 + 563.157i 0.953486 + 1.65149i
\(342\) −151.507 + 20.1943i −0.443004 + 0.0590477i
\(343\) −106.981 325.890i −0.311899 0.950115i
\(344\) 135.465 0.393794
\(345\) −32.9450 8.79124i −0.0954927 0.0254819i
\(346\) −249.899 144.280i −0.722253 0.416993i
\(347\) −17.2244 64.2822i −0.0496380 0.185251i 0.936655 0.350252i \(-0.113904\pi\)
−0.986293 + 0.165001i \(0.947237\pi\)
\(348\) 23.2167 + 116.229i 0.0667146 + 0.333993i
\(349\) 469.199 1.34441 0.672204 0.740366i \(-0.265348\pi\)
0.672204 + 0.740366i \(0.265348\pi\)
\(350\) 118.408 + 217.323i 0.338309 + 0.620924i
\(351\) 656.075 + 128.856i 1.86916 + 0.367112i
\(352\) 18.1622 67.7822i 0.0515972 0.192563i
\(353\) −21.1547 78.9503i −0.0599282 0.223655i 0.929467 0.368906i \(-0.120268\pi\)
−0.989395 + 0.145251i \(0.953601\pi\)
\(354\) 1.91587 29.5952i 0.00541206 0.0836024i
\(355\) 96.6552 110.264i 0.272268 0.310603i
\(356\) −210.249 −0.590586
\(357\) 208.746 8.58111i 0.584722 0.0240367i
\(358\) −82.5798 + 82.5798i −0.230670 + 0.230670i
\(359\) 128.468 + 222.513i 0.357850 + 0.619815i 0.987601 0.156982i \(-0.0501765\pi\)
−0.629751 + 0.776797i \(0.716843\pi\)
\(360\) −127.022 8.09154i −0.352838 0.0224765i
\(361\) 108.394 187.744i 0.300261 0.520068i
\(362\) 93.6286 349.427i 0.258643 0.965267i
\(363\) −31.6358 + 93.4430i −0.0871510 + 0.257419i
\(364\) −269.646 217.904i −0.740787 0.598639i
\(365\) 66.2718 + 32.6631i 0.181567 + 0.0894880i
\(366\) −22.6556 15.1116i −0.0619004 0.0412886i
\(367\) 91.3678 + 340.989i 0.248959 + 0.929126i 0.971352 + 0.237644i \(0.0763752\pi\)
−0.722394 + 0.691482i \(0.756958\pi\)
\(368\) −8.78291 + 2.35337i −0.0238666 + 0.00639504i
\(369\) −21.4339 + 164.856i −0.0580865 + 0.446764i
\(370\) −50.9832 + 17.3193i −0.137792 + 0.0468088i
\(371\) −348.676 + 431.469i −0.939826 + 1.16299i
\(372\) 100.861 297.913i 0.271131 0.800841i
\(373\) −134.772 36.1120i −0.361318 0.0968150i 0.0735926 0.997288i \(-0.476554\pi\)
−0.434911 + 0.900473i \(0.643220\pi\)
\(374\) −151.150 87.2665i −0.404144 0.233333i
\(375\) −371.719 + 49.4973i −0.991251 + 0.131993i
\(376\) −57.6390 + 33.2779i −0.153295 + 0.0885050i
\(377\) −345.903 345.903i −0.917514 0.917514i
\(378\) −153.515 + 218.804i −0.406124 + 0.578847i
\(379\) 603.595i 1.59260i 0.604903 + 0.796299i \(0.293212\pi\)
−0.604903 + 0.796299i \(0.706788\pi\)
\(380\) −79.1592 + 90.3048i −0.208314 + 0.237644i
\(381\) 7.71272 119.142i 0.0202434 0.312708i
\(382\) 320.361 85.8405i 0.838641 0.224713i
\(383\) 540.952 + 144.948i 1.41241 + 0.378454i 0.882784 0.469779i \(-0.155666\pi\)
0.529624 + 0.848232i \(0.322333\pi\)
\(384\) −30.4288 + 15.0363i −0.0792416 + 0.0391569i
\(385\) −354.875 250.144i −0.921753 0.649725i
\(386\) 88.2791i 0.228702i
\(387\) 262.955 + 341.550i 0.679470 + 0.882558i
\(388\) −190.389 + 51.0145i −0.490692 + 0.131481i
\(389\) 193.521 335.189i 0.497484 0.861668i −0.502512 0.864570i \(-0.667591\pi\)
0.999996 + 0.00290262i \(0.000923934\pi\)
\(390\) 454.661 263.123i 1.16580 0.674674i
\(391\) 22.6152i 0.0578393i
\(392\) 123.360 63.1693i 0.314693 0.161146i
\(393\) 174.464 515.316i 0.443929 1.31124i
\(394\) 126.366 72.9575i 0.320726 0.185171i
\(395\) 671.725 + 133.457i 1.70057 + 0.337866i
\(396\) 206.156 85.7812i 0.520595 0.216619i
\(397\) 145.722 + 39.0460i 0.367057 + 0.0983527i 0.437633 0.899154i \(-0.355817\pi\)
−0.0705756 + 0.997506i \(0.522484\pi\)
\(398\) 197.161 197.161i 0.495378 0.495378i
\(399\) 75.2203 + 240.706i 0.188522 + 0.603272i
\(400\) −79.3079 + 60.9118i −0.198270 + 0.152280i
\(401\) −13.0459 + 7.53207i −0.0325335 + 0.0187832i −0.516179 0.856481i \(-0.672646\pi\)
0.483645 + 0.875264i \(0.339313\pi\)
\(402\) 214.911 + 244.661i 0.534603 + 0.608610i
\(403\) 335.975 + 1253.87i 0.833684 + 3.11135i
\(404\) −225.047 + 129.931i −0.557047 + 0.321611i
\(405\) −226.164 335.969i −0.558429 0.829552i
\(406\) 182.497 70.2658i 0.449501 0.173069i
\(407\) 66.7943 66.7943i 0.164114 0.164114i
\(408\) 16.5356 + 82.7820i 0.0405284 + 0.202897i
\(409\) 228.214 395.279i 0.557981 0.966452i −0.439684 0.898153i \(-0.644909\pi\)
0.997665 0.0682992i \(-0.0217573\pi\)
\(410\) 72.5892 + 108.585i 0.177047 + 0.264840i
\(411\) −211.680 + 317.354i −0.515037 + 0.772151i
\(412\) 95.0201 95.0201i 0.230631 0.230631i
\(413\) −48.6586 + 5.16395i −0.117818 + 0.0125035i
\(414\) −22.9823 17.5763i −0.0555129 0.0424548i
\(415\) −91.6841 + 6.03001i −0.220926 + 0.0145301i
\(416\) 70.0412 121.315i 0.168368 0.291623i
\(417\) −85.7411 97.6105i −0.205614 0.234078i
\(418\) 54.5266 203.496i 0.130446 0.486832i
\(419\) 478.799i 1.14272i −0.820700 0.571359i \(-0.806416\pi\)
0.820700 0.571359i \(-0.193584\pi\)
\(420\) 22.3770 + 208.804i 0.0532785 + 0.497153i
\(421\) −106.194 −0.252243 −0.126122 0.992015i \(-0.540253\pi\)
−0.126122 + 0.992015i \(0.540253\pi\)
\(422\) 9.27664 + 2.48567i 0.0219826 + 0.00589021i
\(423\) −195.789 80.7295i −0.462857 0.190850i
\(424\) −194.120 112.075i −0.457830 0.264328i
\(425\) 95.2832 + 229.742i 0.224196 + 0.540568i
\(426\) 111.544 55.1192i 0.261841 0.129388i
\(427\) −18.2340 + 41.0660i −0.0427027 + 0.0961732i
\(428\) 144.399 + 144.399i 0.337380 + 0.337380i
\(429\) −511.379 + 766.667i −1.19203 + 1.78710i
\(430\) 332.170 + 65.9951i 0.772489 + 0.153477i
\(431\) −65.6870 37.9244i −0.152406 0.0879916i 0.421858 0.906662i \(-0.361378\pi\)
−0.574264 + 0.818670i \(0.694712\pi\)
\(432\) −96.9772 47.5333i −0.224484 0.110031i
\(433\) −93.6962 93.6962i −0.216388 0.216388i 0.590586 0.806975i \(-0.298897\pi\)
−0.806975 + 0.590586i \(0.798897\pi\)
\(434\) −512.630 80.6616i −1.18117 0.185856i
\(435\) 0.305026 + 296.314i 0.000701209 + 0.681181i
\(436\) −31.9328 55.3092i −0.0732403 0.126856i
\(437\) −26.3681 + 7.06530i −0.0603388 + 0.0161677i
\(438\) 41.3740 + 47.1015i 0.0944612 + 0.107538i
\(439\) −77.2676 133.831i −0.176008 0.304855i 0.764502 0.644622i \(-0.222985\pi\)
−0.940510 + 0.339767i \(0.889652\pi\)
\(440\) 77.5568 157.359i 0.176265 0.357634i
\(441\) 398.727 + 188.409i 0.904142 + 0.427232i
\(442\) −246.362 246.362i −0.557380 0.557380i
\(443\) −110.767 + 413.388i −0.250038 + 0.933156i 0.720745 + 0.693200i \(0.243800\pi\)
−0.970784 + 0.239956i \(0.922867\pi\)
\(444\) −45.5932 2.95151i −0.102687 0.00664754i
\(445\) −515.545 102.428i −1.15853 0.230175i
\(446\) −120.317 208.395i −0.269768 0.467252i
\(447\) 48.3890 142.927i 0.108253 0.319747i
\(448\) 32.9617 + 45.2717i 0.0735753 + 0.101053i
\(449\) 145.264 0.323527 0.161763 0.986830i \(-0.448282\pi\)
0.161763 + 0.986830i \(0.448282\pi\)
\(450\) −307.525 81.7228i −0.683388 0.181606i
\(451\) −198.440 114.570i −0.440001 0.254034i
\(452\) 114.908 + 428.843i 0.254221 + 0.948767i
\(453\) −591.558 + 118.163i −1.30587 + 0.260845i
\(454\) −501.525 −1.10468
\(455\) −555.035 665.682i −1.21986 1.46304i
\(456\) −91.3533 + 45.1419i −0.200336 + 0.0989953i
\(457\) 212.374 792.590i 0.464713 1.73433i −0.193127 0.981174i \(-0.561863\pi\)
0.657839 0.753158i \(-0.271471\pi\)
\(458\) −29.3652 109.592i −0.0641162 0.239285i
\(459\) −176.622 + 202.382i −0.384797 + 0.440919i
\(460\) −22.6828 + 1.49184i −0.0493105 + 0.00324313i
\(461\) 204.599 0.443817 0.221908 0.975068i \(-0.428771\pi\)
0.221908 + 0.975068i \(0.428771\pi\)
\(462\) −197.154 311.217i −0.426741 0.673631i
\(463\) 151.528 151.528i 0.327275 0.327275i −0.524274 0.851549i \(-0.675663\pi\)
0.851549 + 0.524274i \(0.175663\pi\)
\(464\) 39.5085 + 68.4307i 0.0851476 + 0.147480i
\(465\) 392.453 681.367i 0.843985 1.46531i
\(466\) −62.7893 + 108.754i −0.134741 + 0.233378i
\(467\) −59.9564 + 223.760i −0.128386 + 0.479144i −0.999938 0.0111598i \(-0.996448\pi\)
0.871551 + 0.490304i \(0.163114\pi\)
\(468\) 441.832 58.8916i 0.944086 0.125837i
\(469\) 337.705 417.894i 0.720053 0.891031i
\(470\) −157.547 + 53.5196i −0.335207 + 0.113871i
\(471\) −481.899 + 722.471i −1.02314 + 1.53391i
\(472\) −5.11723 19.0978i −0.0108416 0.0404614i
\(473\) −573.883 + 153.771i −1.21328 + 0.325098i
\(474\) 483.441 + 322.463i 1.01992 + 0.680302i
\(475\) −238.098 + 182.870i −0.501260 + 0.384989i
\(476\) 129.980 50.0454i 0.273067 0.105137i
\(477\) −94.2342 706.989i −0.197556 1.48216i
\(478\) −443.248 118.768i −0.927296 0.248468i
\(479\) −311.301 179.730i −0.649898 0.375219i 0.138519 0.990360i \(-0.455766\pi\)
−0.788417 + 0.615141i \(0.789099\pi\)
\(480\) −81.9389 + 22.0459i −0.170706 + 0.0459289i
\(481\) 163.304 94.2836i 0.339509 0.196016i
\(482\) 229.806 + 229.806i 0.476775 + 0.476775i
\(483\) −22.1503 + 42.2868i −0.0458598 + 0.0875503i
\(484\) 65.7687i 0.135886i
\(485\) −491.700 + 32.3388i −1.01381 + 0.0666779i
\(486\) −68.3986 336.778i −0.140738 0.692959i
\(487\) 441.541 118.310i 0.906654 0.242937i 0.224782 0.974409i \(-0.427833\pi\)
0.681872 + 0.731472i \(0.261166\pi\)
\(488\) −17.5367 4.69894i −0.0359358 0.00962898i
\(489\) 104.237 + 210.944i 0.213164 + 0.431379i
\(490\) 333.262 94.7981i 0.680126 0.193465i
\(491\) 587.015i 1.19555i −0.801664 0.597775i \(-0.796052\pi\)
0.801664 0.597775i \(-0.203948\pi\)
\(492\) 21.7091 + 108.682i 0.0441242 + 0.220898i
\(493\) 189.832 50.8653i 0.385055 0.103175i
\(494\) 210.278 364.212i 0.425664 0.737271i
\(495\) 547.299 109.908i 1.10565 0.222037i
\(496\) 209.682i 0.422746i
\(497\) −120.830 165.955i −0.243118 0.333913i
\(498\) −73.8472 25.0015i −0.148287 0.0502038i
\(499\) 505.419 291.804i 1.01286 0.584778i 0.100836 0.994903i \(-0.467848\pi\)
0.912029 + 0.410125i \(0.134515\pi\)
\(500\) −224.143 + 110.724i −0.448287 + 0.221447i
\(501\) −39.6404 + 612.342i −0.0791225 + 1.22224i
\(502\) −38.7249 10.3763i −0.0771413 0.0206699i
\(503\) 390.083 390.083i 0.775514 0.775514i −0.203551 0.979064i \(-0.565248\pi\)
0.979064 + 0.203551i \(0.0652482\pi\)
\(504\) −50.1613 + 170.985i −0.0995263 + 0.339256i
\(505\) −615.130 + 208.963i −1.21808 + 0.413788i
\(506\) 34.5364 19.9396i 0.0682538 0.0394064i
\(507\) −1001.24 + 879.493i −1.97484 + 1.73470i
\(508\) −20.6005 76.8820i −0.0405521 0.151342i
\(509\) 235.694 136.078i 0.463053 0.267344i −0.250274 0.968175i \(-0.580521\pi\)
0.713327 + 0.700831i \(0.247187\pi\)
\(510\) 0.217248 + 211.043i 0.000425977 + 0.413810i
\(511\) 65.0141 80.4518i 0.127229 0.157440i
\(512\) −16.0000 + 16.0000i −0.0312500 + 0.0312500i
\(513\) −291.145 142.705i −0.567535 0.278176i
\(514\) 130.882 226.694i 0.254634 0.441039i
\(515\) 279.288 186.705i 0.542306 0.362534i
\(516\) 239.063 + 159.459i 0.463301 + 0.309029i
\(517\) 206.406 206.406i 0.399238 0.399238i
\(518\) 7.95537 + 74.9615i 0.0153578 + 0.144713i
\(519\) −271.178 548.781i −0.522501 1.05738i
\(520\) 230.848 263.351i 0.443938 0.506444i
\(521\) 35.4235 61.3553i 0.0679913 0.117764i −0.830026 0.557725i \(-0.811674\pi\)
0.898017 + 0.439961i \(0.145008\pi\)
\(522\) −95.8445 + 232.446i −0.183610 + 0.445299i
\(523\) −96.3401 + 359.546i −0.184207 + 0.687468i 0.810592 + 0.585611i \(0.199145\pi\)
−0.994799 + 0.101858i \(0.967521\pi\)
\(524\) 362.699i 0.692173i
\(525\) −46.8541 + 522.905i −0.0892460 + 0.996010i
\(526\) 217.488 0.413476
\(527\) −503.745 134.978i −0.955872 0.256125i
\(528\) 111.840 98.2403i 0.211818 0.186061i
\(529\) 453.652 + 261.916i 0.857566 + 0.495116i
\(530\) −421.396 369.386i −0.795086 0.696955i
\(531\) 38.2183 49.9733i 0.0719742 0.0941117i
\(532\) 98.9578 + 135.915i 0.186011 + 0.255479i
\(533\) −323.442 323.442i −0.606832 0.606832i
\(534\) −371.039 247.489i −0.694829 0.463462i
\(535\) 283.729 + 424.424i 0.530334 + 0.793315i
\(536\) 188.012 + 108.549i 0.350769 + 0.202516i
\(537\) −242.940 + 48.5270i −0.452403 + 0.0903669i
\(538\) −475.565 475.565i −0.883950 0.883950i
\(539\) −450.894 + 407.640i −0.836539 + 0.756290i
\(540\) −214.638 163.800i −0.397478 0.303333i
\(541\) −3.41709 5.91858i −0.00631626 0.0109401i 0.862850 0.505460i \(-0.168677\pi\)
−0.869166 + 0.494520i \(0.835344\pi\)
\(542\) 504.611 135.210i 0.931017 0.249465i
\(543\) 576.551 506.442i 1.06179 0.932675i
\(544\) 28.1391 + 48.7383i 0.0517263 + 0.0895925i
\(545\) −51.3563 151.179i −0.0942318 0.277393i
\(546\) −219.361 701.956i −0.401760 1.28563i
\(547\) −153.475 153.475i −0.280575 0.280575i 0.552763 0.833338i \(-0.313573\pi\)
−0.833338 + 0.552763i \(0.813573\pi\)
\(548\) −65.8217 + 245.650i −0.120113 + 0.448266i
\(549\) −22.1934 53.3368i −0.0404251 0.0971526i
\(550\) 266.836 348.072i 0.485156 0.632858i
\(551\) 118.612 + 205.443i 0.215268 + 0.372854i
\(552\) −18.2699 6.18543i −0.0330977 0.0112055i
\(553\) 389.092 876.297i 0.703602 1.58462i
\(554\) −10.5295 −0.0190064
\(555\) −110.360 29.4492i −0.198847 0.0530615i
\(556\) −75.0097 43.3069i −0.134910 0.0778900i
\(557\) 175.018 + 653.178i 0.314216 + 1.17267i 0.924717 + 0.380655i \(0.124301\pi\)
−0.610501 + 0.792016i \(0.709032\pi\)
\(558\) 528.675 407.020i 0.947446 0.729426i
\(559\) −1186.02 −2.12168
\(560\) 58.7694 + 127.068i 0.104945 + 0.226906i
\(561\) −164.020 331.927i −0.292371 0.591669i
\(562\) −91.5731 + 341.755i −0.162941 + 0.608106i
\(563\) −212.137 791.706i −0.376797 1.40623i −0.850701 0.525650i \(-0.823822\pi\)
0.473903 0.880577i \(-0.342845\pi\)
\(564\) −140.891 9.12068i −0.249807 0.0161714i
\(565\) 72.8419 + 1107.53i 0.128924 + 1.96024i
\(566\) −437.867 −0.773616
\(567\) −528.476 + 205.431i −0.932057 + 0.362312i
\(568\) 58.6521 58.6521i 0.103261 0.103261i
\(569\) 300.221 + 519.999i 0.527630 + 0.913882i 0.999481 + 0.0322036i \(0.0102525\pi\)
−0.471852 + 0.881678i \(0.656414\pi\)
\(570\) −245.997 + 66.1862i −0.431574 + 0.116116i
\(571\) 184.989 320.410i 0.323973 0.561139i −0.657331 0.753602i \(-0.728314\pi\)
0.981304 + 0.192464i \(0.0616478\pi\)
\(572\) −159.013 + 593.444i −0.277995 + 1.03749i
\(573\) 666.405 + 225.616i 1.16301 + 0.393746i
\(574\) 170.647 65.7031i 0.297294 0.114465i
\(575\) −56.3468 7.39240i −0.0979944 0.0128563i
\(576\) −71.3991 9.28303i −0.123957 0.0161164i
\(577\) 168.644 + 629.390i 0.292278 + 1.09080i 0.943355 + 0.331785i \(0.107651\pi\)
−0.651077 + 0.759012i \(0.725682\pi\)
\(578\) −259.577 + 69.5536i −0.449096 + 0.120335i
\(579\) −103.915 + 155.791i −0.179474 + 0.269070i
\(580\) 63.5400 + 187.045i 0.109552 + 0.322491i
\(581\) −19.9946 + 127.072i −0.0344140 + 0.218712i
\(582\) −396.041 134.082i −0.680482 0.230382i
\(583\) 949.588 + 254.441i 1.62880 + 0.436434i
\(584\) 36.1956 + 20.8975i 0.0619787 + 0.0357834i
\(585\) 1112.10 + 70.8427i 1.90102 + 0.121099i
\(586\) −421.534 + 243.373i −0.719342 + 0.415312i
\(587\) 332.823 + 332.823i 0.566990 + 0.566990i 0.931284 0.364294i \(-0.118690\pi\)
−0.364294 + 0.931284i \(0.618690\pi\)
\(588\) 292.059 + 33.7309i 0.496698 + 0.0573655i
\(589\) 629.508i 1.06877i
\(590\) −3.24389 49.3221i −0.00549811 0.0835968i
\(591\) 308.886 + 19.9959i 0.522649 + 0.0338340i
\(592\) −29.4212 + 7.88340i −0.0496980 + 0.0133165i
\(593\) 811.972 + 217.567i 1.36926 + 0.366893i 0.867209 0.497944i \(-0.165912\pi\)
0.502053 + 0.864837i \(0.332578\pi\)
\(594\) 464.790 + 91.2871i 0.782475 + 0.153682i
\(595\) 343.101 59.3921i 0.576640 0.0998186i
\(596\) 100.597i 0.168788i
\(597\) 580.023 115.859i 0.971563 0.194069i
\(598\) 76.8957 20.6041i 0.128588 0.0344551i
\(599\) 114.855 198.935i 0.191745 0.332112i −0.754083 0.656779i \(-0.771919\pi\)
0.945829 + 0.324666i \(0.105252\pi\)
\(600\) −211.660 + 14.1396i −0.352767 + 0.0235660i
\(601\) 500.222i 0.832317i 0.909292 + 0.416158i \(0.136624\pi\)
−0.909292 + 0.416158i \(0.863376\pi\)
\(602\) 192.407 433.332i 0.319614 0.719820i
\(603\) 91.2693 + 684.745i 0.151359 + 1.13556i
\(604\) −348.283 + 201.081i −0.576628 + 0.332916i
\(605\) −32.0408 + 161.270i −0.0529600 + 0.266561i
\(606\) −550.098 35.6110i −0.907753 0.0587640i
\(607\) −487.286 130.568i −0.802778 0.215104i −0.165974 0.986130i \(-0.553077\pi\)
−0.636803 + 0.771026i \(0.719744\pi\)
\(608\) −48.0352 + 48.0352i −0.0790053 + 0.0790053i
\(609\) 404.776 + 90.8195i 0.664656 + 0.149129i
\(610\) −40.7120 20.0656i −0.0667410 0.0328944i
\(611\) 504.638 291.353i 0.825922 0.476846i
\(612\) −68.2632 + 165.555i −0.111541 + 0.270514i
\(613\) 31.2143 + 116.493i 0.0509206 + 0.190038i 0.986701 0.162545i \(-0.0519701\pi\)
−0.935781 + 0.352583i \(0.885303\pi\)
\(614\) −161.650 + 93.3285i −0.263273 + 0.152001i
\(615\) 0.285219 + 277.072i 0.000463770 + 0.450524i
\(616\) −191.028 154.372i −0.310111 0.250604i
\(617\) 177.691 177.691i 0.287993 0.287993i −0.548293 0.836286i \(-0.684722\pi\)
0.836286 + 0.548293i \(0.184722\pi\)
\(618\) 279.538 55.8374i 0.452327 0.0903517i
\(619\) 160.858 278.615i 0.259868 0.450105i −0.706338 0.707875i \(-0.749654\pi\)
0.966206 + 0.257769i \(0.0829875\pi\)
\(620\) 102.152 514.156i 0.164761 0.829284i
\(621\) −19.8689 58.0710i −0.0319949 0.0935120i
\(622\) 512.680 512.680i 0.824245 0.824245i
\(623\) −298.626 + 672.553i −0.479336 + 1.07954i
\(624\) 266.409 131.645i 0.426937 0.210969i
\(625\) −603.558 + 162.305i −0.965692 + 0.259688i
\(626\) −279.689 + 484.435i −0.446787 + 0.773858i
\(627\) 335.766 294.937i 0.535512 0.470394i
\(628\) −149.846 + 559.234i −0.238609 + 0.890499i
\(629\) 75.7569i 0.120440i
\(630\) −206.299 + 394.830i −0.327458 + 0.626715i
\(631\) 967.459 1.53322 0.766608 0.642116i \(-0.221943\pi\)
0.766608 + 0.642116i \(0.221943\pi\)
\(632\) 374.211 + 100.270i 0.592106 + 0.158654i
\(633\) 13.4451 + 15.3064i 0.0212403 + 0.0241807i
\(634\) −51.2270 29.5759i −0.0807997 0.0466497i
\(635\) −13.0589 198.556i −0.0205652 0.312687i
\(636\) −210.649 426.289i −0.331209 0.670265i
\(637\) −1080.03 + 553.057i −1.69550 + 0.868222i
\(638\) −245.052 245.052i −0.384094 0.384094i
\(639\) 261.731 + 34.0293i 0.409595 + 0.0532540i
\(640\) −47.0280 + 31.4384i −0.0734812 + 0.0491225i
\(641\) −1072.34 619.114i −1.67291 0.965856i −0.965996 0.258558i \(-0.916753\pi\)
−0.706916 0.707298i \(-0.749914\pi\)
\(642\) 84.8541 + 424.804i 0.132172 + 0.661689i
\(643\) −193.264 193.264i −0.300566 0.300566i 0.540669 0.841235i \(-0.318171\pi\)
−0.841235 + 0.540669i \(0.818171\pi\)
\(644\) −4.94670 + 31.4378i −0.00768120 + 0.0488164i
\(645\) 508.517 + 507.471i 0.788398 + 0.786776i
\(646\) 84.4792 + 146.322i 0.130773 + 0.226505i
\(647\) −795.387 + 213.123i −1.22935 + 0.329402i −0.814325 0.580409i \(-0.802893\pi\)
−0.415021 + 0.909812i \(0.636226\pi\)
\(648\) −115.189 198.039i −0.177761 0.305616i
\(649\) 43.3572 + 75.0968i 0.0668061 + 0.115712i
\(650\) 694.353 533.293i 1.06824 0.820450i
\(651\) −809.720 745.777i −1.24381 1.14559i
\(652\) 110.918 + 110.918i 0.170120 + 0.170120i
\(653\) 236.615 883.061i 0.362351 1.35231i −0.508625 0.860988i \(-0.669846\pi\)
0.870976 0.491325i \(-0.163487\pi\)
\(654\) 8.75203 135.196i 0.0133823 0.206722i
\(655\) 176.697 889.364i 0.269767 1.35781i
\(656\) 36.9430 + 63.9871i 0.0563155 + 0.0975413i
\(657\) 17.5709 + 131.825i 0.0267442 + 0.200647i
\(658\) 24.5835 + 231.644i 0.0373609 + 0.352043i
\(659\) −909.184 −1.37964 −0.689821 0.723980i \(-0.742311\pi\)
−0.689821 + 0.723980i \(0.742311\pi\)
\(660\) 322.100 186.407i 0.488030 0.282435i
\(661\) −804.144 464.273i −1.21656 0.702379i −0.252377 0.967629i \(-0.581212\pi\)
−0.964180 + 0.265250i \(0.914546\pi\)
\(662\) 16.6051 + 61.9711i 0.0250832 + 0.0936119i
\(663\) −144.772 724.769i −0.218358 1.09317i
\(664\) −51.9764 −0.0782777
\(665\) 176.438 + 381.482i 0.265320 + 0.573658i
\(666\) −76.9869 58.8776i −0.115596 0.0884047i
\(667\) −11.6223 + 43.3749i −0.0174247 + 0.0650299i
\(668\) 105.878 + 395.143i 0.158501 + 0.591532i
\(669\) 32.9760 509.394i 0.0492914 0.761426i
\(670\) 408.137 + 357.764i 0.609160 + 0.533977i
\(671\) 79.6262 0.118668
\(672\) 4.87925 + 118.694i 0.00726079 + 0.176628i
\(673\) 47.0329 47.0329i 0.0698855 0.0698855i −0.671300 0.741186i \(-0.734264\pi\)
0.741186 + 0.671300i \(0.234264\pi\)
\(674\) −13.0476 22.5992i −0.0193585 0.0335299i
\(675\) −446.510 506.216i −0.661496 0.749949i
\(676\) −444.222 + 769.415i −0.657133 + 1.13819i
\(677\) 177.154 661.147i 0.261675 0.976583i −0.702580 0.711605i \(-0.747969\pi\)
0.964254 0.264978i \(-0.0853647\pi\)
\(678\) −302.015 + 892.066i −0.445451 + 1.31573i
\(679\) −107.230 + 681.482i −0.157924 + 1.00366i
\(680\) 45.2551 + 133.219i 0.0665516 + 0.195910i
\(681\) −885.072 590.357i −1.29967 0.866898i
\(682\) 238.018 + 888.296i 0.349000 + 1.30249i
\(683\) −51.8605 + 13.8960i −0.0759304 + 0.0203455i −0.296584 0.955007i \(-0.595848\pi\)
0.220654 + 0.975352i \(0.429181\pi\)
\(684\) −214.354 27.8695i −0.313384 0.0407449i
\(685\) −281.074 + 570.285i −0.410327 + 0.832533i
\(686\) −26.8553 484.331i −0.0391476 0.706022i
\(687\) 77.1813 227.971i 0.112345 0.331835i
\(688\) 185.049 + 49.5837i 0.268966 + 0.0720693i
\(689\) 1699.55 + 981.235i 2.46669 + 1.42414i
\(690\) −41.7859 24.0678i −0.0605592 0.0348808i
\(691\) −340.261 + 196.450i −0.492418 + 0.284298i −0.725577 0.688141i \(-0.758427\pi\)
0.233159 + 0.972439i \(0.425094\pi\)
\(692\) −288.559 288.559i −0.416993 0.416993i
\(693\) 18.4113 781.299i 0.0265675 1.12742i
\(694\) 94.1157i 0.135613i
\(695\) −162.831 142.734i −0.234290 0.205373i
\(696\) −10.8283 + 167.270i −0.0155580 + 0.240331i
\(697\) 177.505 47.5624i 0.254670 0.0682387i
\(698\) 640.937 + 171.739i 0.918248 + 0.246044i
\(699\) −238.825 + 118.014i −0.341667 + 0.168833i
\(700\) 82.2029 + 340.210i 0.117433 + 0.486014i
\(701\) 122.711i 0.175052i −0.996162 0.0875259i \(-0.972104\pi\)
0.996162 0.0875259i \(-0.0278960\pi\)
\(702\) 849.051 + 416.161i 1.20947 + 0.592822i
\(703\) −88.3285 + 23.6675i −0.125645 + 0.0336665i
\(704\) 49.6201 85.9444i 0.0704830 0.122080i
\(705\) −341.032 91.0031i −0.483733 0.129082i
\(706\) 115.591i 0.163727i
\(707\) 95.9843 + 904.437i 0.135763 + 1.27926i
\(708\) 13.4497 39.7266i 0.0189968 0.0561110i
\(709\) −869.912 + 502.244i −1.22696 + 0.708384i −0.966392 0.257072i \(-0.917242\pi\)
−0.260565 + 0.965456i \(0.583909\pi\)
\(710\) 172.393 115.245i 0.242807 0.162317i
\(711\) 473.580 + 1138.14i 0.666076 + 1.60076i
\(712\) −287.205 76.9564i −0.403378 0.108085i
\(713\) 84.2600 84.2600i 0.118177 0.118177i
\(714\) 288.293 + 64.6843i 0.403772 + 0.0905942i
\(715\) −679.022 + 1377.70i −0.949681 + 1.92685i
\(716\) −143.032 + 82.5798i −0.199766 + 0.115335i
\(717\) −642.422 731.354i −0.895986 1.02002i
\(718\) 94.0453 + 350.982i 0.130982 + 0.488832i
\(719\) 477.102 275.455i 0.663563 0.383109i −0.130070 0.991505i \(-0.541520\pi\)
0.793633 + 0.608396i \(0.208187\pi\)
\(720\) −170.553 57.5464i −0.236879 0.0799256i
\(721\) −168.993 438.916i −0.234387 0.608760i
\(722\) 216.789 216.789i 0.300261 0.300261i
\(723\) 135.042 + 676.061i 0.186781 + 0.935078i
\(724\) 255.798 443.055i 0.353312 0.611955i
\(725\) 64.6815 + 489.602i 0.0892159 + 0.675313i
\(726\) −77.4178 + 116.066i −0.106636 + 0.159871i
\(727\) −240.311 + 240.311i −0.330551 + 0.330551i −0.852796 0.522244i \(-0.825095\pi\)
0.522244 + 0.852796i \(0.325095\pi\)
\(728\) −288.585 396.360i −0.396408 0.544451i
\(729\) 275.722 674.847i 0.378220 0.925716i
\(730\) 78.5735 + 68.8758i 0.107635 + 0.0943504i
\(731\) 238.242 412.646i 0.325912 0.564496i
\(732\) −25.4168 28.9354i −0.0347224 0.0395292i
\(733\) 215.282 803.442i 0.293699 1.09610i −0.648545 0.761176i \(-0.724622\pi\)
0.942245 0.334925i \(-0.108711\pi\)
\(734\) 499.243i 0.680168i
\(735\) 699.716 + 224.994i 0.951995 + 0.306114i
\(736\) −12.8591 −0.0174716
\(737\) −919.711 246.436i −1.24791 0.334377i
\(738\) −89.6207 + 217.352i −0.121437 + 0.294515i
\(739\) −520.019 300.233i −0.703679 0.406269i 0.105037 0.994468i \(-0.466504\pi\)
−0.808716 + 0.588199i \(0.799837\pi\)
\(740\) −75.9836 + 4.99740i −0.102681 + 0.00675324i
\(741\) 799.813 395.224i 1.07937 0.533366i
\(742\) −634.228 + 461.774i −0.854755 + 0.622337i
\(743\) 883.804 + 883.804i 1.18951 + 1.18951i 0.977204 + 0.212303i \(0.0680965\pi\)
0.212303 + 0.977204i \(0.431903\pi\)
\(744\) 246.822 370.039i 0.331750 0.497364i
\(745\) 49.0085 246.672i 0.0657832 0.331104i
\(746\) −170.884 98.6598i −0.229067 0.132252i
\(747\) −100.893 131.049i −0.135064 0.175434i
\(748\) −174.533 174.533i −0.233333 0.233333i
\(749\) 667.006 256.813i 0.890528 0.342875i
\(750\) −525.895 68.4440i −0.701193 0.0912587i
\(751\) −273.083 472.994i −0.363626 0.629819i 0.624928 0.780682i \(-0.285128\pi\)
−0.988555 + 0.150863i \(0.951795\pi\)
\(752\) −90.9169 + 24.3611i −0.120900 + 0.0323951i
\(753\) −56.1260 63.8957i −0.0745366 0.0848549i
\(754\) −345.903 599.121i −0.458757 0.794591i
\(755\) −951.977 + 323.392i −1.26090 + 0.428333i
\(756\) −289.793 + 242.702i −0.383324 + 0.321034i
\(757\) 844.895 + 844.895i 1.11611 + 1.11611i 0.992307 + 0.123803i \(0.0395089\pi\)
0.123803 + 0.992307i \(0.460491\pi\)
\(758\) −220.931 + 824.526i −0.291466 + 1.08776i
\(759\) 84.4199 + 5.46498i 0.111225 + 0.00720024i
\(760\) −141.187