Properties

Label 210.3.w.a.47.4
Level 210
Weight 3
Character 210.47
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 47.4
Character \(\chi\) \(=\) 210.47
Dual form 210.3.w.a.143.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.25393 - 1.97985i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.974348 - 4.90415i) q^{5} +(1.87953 - 3.80360i) q^{6} +(-4.12022 + 5.65896i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.16038 + 8.92488i) q^{9} +O(q^{10})\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.25393 - 1.97985i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.974348 - 4.90415i) q^{5} +(1.87953 - 3.80360i) q^{6} +(-4.12022 + 5.65896i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.16038 + 8.92488i) q^{9} +(7.05582 - 0.464058i) q^{10} +(-10.7431 + 6.20251i) q^{11} +(5.88377 + 1.17528i) q^{12} +(17.5103 + 17.5103i) q^{13} +(-9.23839 - 3.55700i) q^{14} +(-11.9056 + 9.12453i) q^{15} +(2.00000 - 3.46410i) q^{16} +(-2.57491 + 9.60968i) q^{17} +(-11.7669 + 4.85184i) 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} +(-2.19573 + 0.588343i) q^{23} +(0.548153 + 8.46756i) q^{24} +(-23.1013 - 9.55669i) q^{25} +(-17.5103 + 30.3287i) q^{26} +(15.0545 - 22.4134i) q^{27} +(1.47747 - 13.9218i) q^{28} -19.7542 q^{29} +(-16.8221 - 12.9235i) q^{30} +(-45.3975 + 26.2103i) q^{31} +(5.46410 + 1.46410i) q^{32} +(36.4941 + 7.28965i) q^{33} -14.0695 q^{34} +(23.7378 + 25.7199i) q^{35} +(-10.9347 - 14.2980i) q^{36} +(7.35531 - 1.97085i) q^{37} +(-16.4043 - 4.39553i) q^{38} +(-4.79916 - 74.1348i) q^{39} +(-11.7570 + 7.85960i) q^{40} +18.4715 q^{41} +(13.7803 + 26.3078i) q^{42} +(33.8663 - 33.8663i) q^{43} +(12.4050 - 21.4861i) q^{44} +(44.8995 + 3.00527i) q^{45} +(-1.60738 - 2.78407i) q^{46} +(22.7292 - 6.09028i) q^{47} +(-11.3663 + 3.84813i) q^{48} +(-15.0476 - 46.6323i) q^{49} +(4.59902 - 35.0549i) q^{50} +(24.8294 - 16.5616i) q^{51} +(-47.8391 - 12.8184i) q^{52} +(-20.5112 + 76.5487i) q^{53} +(36.1276 + 12.3610i) q^{54} +(19.9505 + 58.7289i) q^{55} +(19.5584 - 3.07748i) q^{56} +(34.1238 - 11.5529i) q^{57} +(-7.23056 - 26.9848i) q^{58} +(6.05375 - 3.49513i) q^{59} +(11.4966 - 27.7097i) q^{60} +(-5.55891 - 3.20944i) q^{61} +(-52.4206 - 52.4206i) q^{62} +(-55.2865 - 30.2059i) q^{63} +8.00000i q^{64} +(102.934 - 68.8120i) q^{65} +(3.39992 + 52.5201i) q^{66} +(-19.8658 + 74.1402i) q^{67} +(-5.14981 - 19.2194i) q^{68} +(6.11384 + 3.02113i) q^{69} +(-26.4454 + 41.8406i) q^{70} +29.3260i q^{71} +(15.5290 - 20.1705i) q^{72} +(3.82451 - 14.2733i) q^{73} +(5.38446 + 9.32616i) q^{74} +(33.1478 + 67.2772i) q^{75} -24.0176i q^{76} +(9.16400 - 86.3502i) q^{77} +(99.5134 - 33.6910i) q^{78} +(-118.620 - 68.4854i) q^{79} +(-15.0398 - 13.1835i) q^{80} +(-78.3070 + 20.7125i) q^{81} +(6.76103 + 25.2325i) 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} +(44.5246 + 39.1105i) q^{87} +(33.8911 + 9.08110i) q^{88} +(91.0404 + 52.5622i) q^{89} +(12.3291 + 62.4339i) q^{90} +(-171.236 + 26.9438i) q^{91} +(3.21477 - 3.21477i) q^{92} +(154.215 + 30.8043i) q^{93} +(16.6389 + 28.8195i) q^{94} +(45.1524 + 39.5796i) q^{95} +(-9.41699 - 14.1181i) q^{96} +(69.6870 - 69.6870i) q^{97} +(58.1931 - 37.6240i) q^{98} +(-67.8227 - 88.6833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.366025 + 1.36603i 0.183013 + 0.683013i
\(3\) −2.25393 1.97985i −0.751309 0.659950i
\(4\) −1.73205 + 1.00000i −0.433013 + 0.250000i
\(5\) 0.974348 4.90415i 0.194870 0.980829i
\(6\) 1.87953 3.80360i 0.313255 0.633933i
\(7\) −4.12022 + 5.65896i −0.588602 + 0.808423i
\(8\) −2.00000 2.00000i −0.250000 0.250000i
\(9\) 1.16038 + 8.92488i 0.128931 + 0.991654i
\(10\) 7.05582 0.464058i 0.705582 0.0464058i
\(11\) −10.7431 + 6.20251i −0.976641 + 0.563864i −0.901254 0.433290i \(-0.857353\pi\)
−0.0753870 + 0.997154i \(0.524019\pi\)
\(12\) 5.88377 + 1.17528i 0.490314 + 0.0979396i
\(13\) 17.5103 + 17.5103i 1.34695 + 1.34695i 0.888958 + 0.457989i \(0.151430\pi\)
0.457989 + 0.888958i \(0.348570\pi\)
\(14\) −9.23839 3.55700i −0.659885 0.254071i
\(15\) −11.9056 + 9.12453i −0.793706 + 0.608302i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) −2.57491 + 9.60968i −0.151465 + 0.565275i 0.847917 + 0.530129i \(0.177856\pi\)
−0.999382 + 0.0351465i \(0.988810\pi\)
\(18\) −11.7669 + 4.85184i −0.653716 + 0.269547i
\(19\) −6.00440 + 10.3999i −0.316021 + 0.547365i −0.979654 0.200694i \(-0.935680\pi\)
0.663633 + 0.748058i \(0.269014\pi\)
\(20\) 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
\(23\) −2.19573 + 0.588343i −0.0954664 + 0.0255801i −0.306236 0.951956i \(-0.599070\pi\)
0.210770 + 0.977536i \(0.432403\pi\)
\(24\) 0.548153 + 8.46756i 0.0228397 + 0.352815i
\(25\) −23.1013 9.55669i −0.924052 0.382268i
\(26\) −17.5103 + 30.3287i −0.673473 + 1.16649i
\(27\) 15.0545 22.4134i 0.557575 0.830127i
\(28\) 1.47747 13.9218i 0.0527667 0.497208i
\(29\) −19.7542 −0.681181 −0.340590 0.940212i \(-0.610627\pi\)
−0.340590 + 0.940212i \(0.610627\pi\)
\(30\) −16.8221 12.9235i −0.560736 0.430784i
\(31\) −45.3975 + 26.2103i −1.46444 + 0.845493i −0.999212 0.0396998i \(-0.987360\pi\)
−0.465225 + 0.885193i \(0.654026\pi\)
\(32\) 5.46410 + 1.46410i 0.170753 + 0.0457532i
\(33\) 36.4941 + 7.28965i 1.10588 + 0.220899i
\(34\) −14.0695 −0.413810
\(35\) 23.7378 + 25.7199i 0.678224 + 0.734855i
\(36\) −10.9347 14.2980i −0.303742 0.397166i
\(37\) 7.35531 1.97085i 0.198792 0.0532662i −0.158049 0.987431i \(-0.550520\pi\)
0.356841 + 0.934165i \(0.383854\pi\)
\(38\) −16.4043 4.39553i −0.431693 0.115672i
\(39\) −4.79916 74.1348i −0.123055 1.90089i
\(40\) −11.7570 + 7.85960i −0.293925 + 0.196490i
\(41\) 18.4715 0.450524 0.225262 0.974298i \(-0.427676\pi\)
0.225262 + 0.974298i \(0.427676\pi\)
\(42\) 13.7803 + 26.3078i 0.328103 + 0.626377i
\(43\) 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
\(45\) 44.8995 + 3.00527i 0.997767 + 0.0667839i
\(46\) −1.60738 2.78407i −0.0349431 0.0605233i
\(47\) 22.7292 6.09028i 0.483600 0.129580i −0.00877822 0.999961i \(-0.502794\pi\)
0.492379 + 0.870381i \(0.336128\pi\)
\(48\) −11.3663 + 3.84813i −0.236797 + 0.0801694i
\(49\) −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
\(52\) −47.8391 12.8184i −0.919982 0.246508i
\(53\) −20.5112 + 76.5487i −0.387003 + 1.44432i 0.447982 + 0.894043i \(0.352143\pi\)
−0.834985 + 0.550273i \(0.814524\pi\)
\(54\) 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
\(57\) 34.1238 11.5529i 0.598663 0.202682i
\(58\) −7.23056 26.9848i −0.124665 0.465255i
\(59\) 6.05375 3.49513i 0.102606 0.0592396i −0.447819 0.894124i \(-0.647799\pi\)
0.550425 + 0.834885i \(0.314466\pi\)
\(60\) 11.4966 27.7097i 0.191609 0.461829i
\(61\) −5.55891 3.20944i −0.0911296 0.0526137i 0.453743 0.891133i \(-0.350089\pi\)
−0.544872 + 0.838519i \(0.683422\pi\)
\(62\) −52.4206 52.4206i −0.845493 0.845493i
\(63\) −55.2865 30.2059i −0.877564 0.479459i
\(64\) 8.00000i 0.125000i
\(65\) 102.934 68.8120i 1.58360 1.05865i
\(66\) 3.39992 + 52.5201i 0.0515140 + 0.795759i
\(67\) −19.8658 + 74.1402i −0.296505 + 1.10657i 0.643510 + 0.765437i \(0.277477\pi\)
−0.940015 + 0.341133i \(0.889189\pi\)
\(68\) −5.14981 19.2194i −0.0757325 0.282638i
\(69\) 6.11384 + 3.02113i 0.0886064 + 0.0437845i
\(70\) −26.4454 + 41.8406i −0.377792 + 0.597723i
\(71\) 29.3260i 0.413043i 0.978442 + 0.206521i \(0.0662143\pi\)
−0.978442 + 0.206521i \(0.933786\pi\)
\(72\) 15.5290 20.1705i 0.215681 0.280146i
\(73\) 3.82451 14.2733i 0.0523906 0.195524i −0.934770 0.355252i \(-0.884395\pi\)
0.987161 + 0.159728i \(0.0510617\pi\)
\(74\) 5.38446 + 9.32616i 0.0727630 + 0.126029i
\(75\) 33.1478 + 67.2772i 0.441971 + 0.897029i
\(76\) 24.0176i 0.316021i
\(77\) 9.16400 86.3502i 0.119013 1.12143i
\(78\) 99.5134 33.6910i 1.27581 0.431936i
\(79\) −118.620 68.4854i −1.50152 0.866904i −0.999998 0.00175954i \(-0.999440\pi\)
−0.501523 0.865144i \(-0.667227\pi\)
\(80\) −15.0398 13.1835i −0.187997 0.164794i
\(81\) −78.3070 + 20.7125i −0.966754 + 0.255710i
\(82\) 6.76103 + 25.2325i 0.0824516 + 0.307714i
\(83\) −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
\(87\) 44.5246 + 39.1105i 0.511777 + 0.449546i
\(88\) 33.8911 + 9.08110i 0.385126 + 0.103194i
\(89\) 91.0404 + 52.5622i 1.02293 + 0.590586i 0.914950 0.403567i \(-0.132230\pi\)
0.107976 + 0.994154i \(0.465563\pi\)
\(90\) 12.3291 + 62.4339i 0.136990 + 0.693710i
\(91\) −171.236 + 26.9438i −1.88172 + 0.296086i
\(92\) 3.21477 3.21477i 0.0349431 0.0349431i
\(93\) 154.215 + 30.8043i 1.65823 + 0.331229i
\(94\) 16.6389 + 28.8195i 0.177010 + 0.306590i
\(95\) 45.1524 + 39.5796i 0.475288 + 0.416628i
\(96\) −9.41699 14.1181i −0.0980936 0.147063i
\(97\) 69.6870 69.6870i 0.718423 0.718423i −0.249859 0.968282i \(-0.580384\pi\)
0.968282 + 0.249859i \(0.0803843\pi\)
\(98\) 58.1931 37.6240i 0.593807 0.383919i
\(99\) −67.8227 88.6833i −0.685077 0.895790i
\(100\) 49.5693 6.54862i 0.495693 0.0654862i
\(101\) −64.9654 112.523i −0.643222 1.11409i −0.984709 0.174207i \(-0.944264\pi\)
0.341487 0.939886i \(-0.389069\pi\)
\(102\) 31.7117 + 27.8556i 0.310899 + 0.273094i
\(103\) 64.8999 17.3899i 0.630096 0.168834i 0.0703830 0.997520i \(-0.477578\pi\)
0.559713 + 0.828686i \(0.310911\pi\)
\(104\) 70.0412i 0.673473i
\(105\) −2.58169 104.968i −0.0245876 0.999698i
\(106\) −112.075 −1.05731
\(107\) 26.4268 + 98.6262i 0.246979 + 0.921740i 0.972378 + 0.233411i \(0.0749888\pi\)
−0.725399 + 0.688329i \(0.758345\pi\)
\(108\) −3.66179 + 53.8757i −0.0339055 + 0.498849i
\(109\) 27.6546 15.9664i 0.253712 0.146481i −0.367751 0.929924i \(-0.619872\pi\)
0.621463 + 0.783444i \(0.286539\pi\)
\(110\) −72.9228 + 48.7492i −0.662934 + 0.443174i
\(111\) −20.4803 10.1203i −0.184507 0.0911736i
\(112\) 11.3628 + 25.5908i 0.101453 + 0.228489i
\(113\) −156.967 156.967i −1.38909 1.38909i −0.827235 0.561857i \(-0.810087\pi\)
−0.561857 0.827235i \(-0.689913\pi\)
\(114\) 28.2717 + 42.3853i 0.247997 + 0.371801i
\(115\) 0.745919 + 11.3414i 0.00648625 + 0.0986210i
\(116\) 34.2154 19.7542i 0.294960 0.170295i
\(117\) −135.959 + 176.596i −1.16204 + 1.50937i
\(118\) 6.99027 + 6.99027i 0.0592396 + 0.0592396i
\(119\) −43.7716 54.1653i −0.367829 0.455170i
\(120\) 42.0602 + 5.56213i 0.350502 + 0.0463511i
\(121\) 16.4422 28.4787i 0.135886 0.235361i
\(122\) 2.34947 8.76834i 0.0192580 0.0718717i
\(123\) −41.6334 36.5708i −0.338483 0.297324i
\(124\) 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 \(0.800080\pi\)
\(128\) −10.9282 + 2.92820i −0.0853766 + 0.0228766i
\(129\) −143.382 + 9.28195i −1.11149 + 0.0719531i
\(130\) 131.675 + 115.424i 1.01289 + 0.887876i
\(131\) −90.6747 + 157.053i −0.692173 + 1.19888i 0.278951 + 0.960305i \(0.410013\pi\)
−0.971124 + 0.238574i \(0.923320\pi\)
\(132\) −70.4993 + 23.8681i −0.534086 + 0.180819i
\(133\) −34.1133 76.8286i −0.256491 0.577659i
\(134\) −108.549 −0.810066
\(135\) −95.2503 95.6681i −0.705558 0.708652i
\(136\) 24.3692 14.0695i 0.179185 0.103453i
\(137\) 122.825 + 32.9109i 0.896533 + 0.240225i 0.677527 0.735498i \(-0.263052\pi\)
0.219006 + 0.975723i \(0.429719\pi\)
\(138\) −1.88912 + 9.45747i −0.0136893 + 0.0685324i
\(139\) 43.3069 0.311560 0.155780 0.987792i \(-0.450211\pi\)
0.155780 + 0.987792i \(0.450211\pi\)
\(140\) −66.8351 20.8104i −0.477393 0.148646i
\(141\) −63.2878 31.2734i −0.448850 0.221797i
\(142\) −40.0601 + 10.7341i −0.282113 + 0.0755921i
\(143\) −296.722 79.5064i −2.07498 0.555989i
\(144\) 33.2375 + 13.8301i 0.230816 + 0.0960423i
\(145\) −19.2475 + 96.8777i −0.132741 + 0.668122i
\(146\) 20.8975 0.143134
\(147\) −58.4087 + 134.898i −0.397338 + 0.917672i
\(148\) −10.7689 + 10.7689i −0.0727630 + 0.0727630i
\(149\) 25.1494 43.5600i 0.168788 0.292349i −0.769206 0.639001i \(-0.779348\pi\)
0.937994 + 0.346652i \(0.112681\pi\)
\(150\) −79.7694 + 69.9059i −0.531796 + 0.466039i
\(151\) −100.541 174.142i −0.665832 1.15326i −0.979059 0.203577i \(-0.934743\pi\)
0.313227 0.949678i \(-0.398590\pi\)
\(152\) 32.8087 8.79106i 0.215846 0.0578359i
\(153\) −88.7531 11.8299i −0.580086 0.0773194i
\(154\) 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
\(157\) 279.617 + 74.9231i 1.78100 + 0.477217i 0.990765 0.135589i \(-0.0432926\pi\)
0.790233 + 0.612806i \(0.209959\pi\)
\(158\) 50.1348 187.106i 0.317309 1.18421i
\(159\) 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
\(162\) −56.9562 99.3881i −0.351581 0.613507i
\(163\) −20.2995 75.7586i −0.124537 0.464777i 0.875286 0.483605i \(-0.160673\pi\)
−0.999823 + 0.0188285i \(0.994006\pi\)
\(164\) −31.9936 + 18.4715i −0.195083 + 0.112631i
\(165\) 71.3075 171.870i 0.432167 1.04163i
\(166\) −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 \(0.540205\pi\)
\(168\) −50.1761 31.7862i −0.298667 0.189204i
\(169\) 444.222i 2.62853i
\(170\) −13.7086 + 68.9991i −0.0806390 + 0.405877i
\(171\) −99.7855 41.5207i −0.583541 0.242811i
\(172\) −24.7918 + 92.5244i −0.144139 + 0.537932i
\(173\) 52.8100 + 197.090i 0.305260 + 1.13925i 0.932721 + 0.360598i \(0.117427\pi\)
−0.627461 + 0.778648i \(0.715906\pi\)
\(174\) −37.1287 + 75.1372i −0.213384 + 0.431823i
\(175\) 149.263 91.3536i 0.852933 0.522021i
\(176\) 49.6201i 0.281932i
\(177\) −20.5646 4.10774i −0.116184 0.0232076i
\(178\) −38.4782 + 143.603i −0.216170 + 0.806756i
\(179\) 41.2899 + 71.5162i 0.230670 + 0.399532i 0.958005 0.286750i \(-0.0925749\pi\)
−0.727336 + 0.686282i \(0.759242\pi\)
\(180\) −80.7736 + 39.6942i −0.448742 + 0.220524i
\(181\) 255.798i 1.41325i 0.707588 + 0.706625i \(0.249783\pi\)
−0.707588 + 0.706625i \(0.750217\pi\)
\(182\) −99.4828 224.051i −0.546609 1.23105i
\(183\) 6.17517 + 18.2396i 0.0337441 + 0.0996702i
\(184\) 5.56814 + 3.21477i 0.0302616 + 0.0174716i
\(185\) −2.49870 37.9918i −0.0135065 0.205361i
\(186\) 14.3672 + 221.937i 0.0772432 + 1.19321i
\(187\) −31.9417 119.208i −0.170811 0.637477i
\(188\) −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 0.926358 0.376644i \(-0.122922\pi\)
0.136996 + 0.990572i \(0.456255\pi\)
\(192\) 15.8388 18.0314i 0.0824938 0.0939136i
\(193\) −60.2957 16.1562i −0.312413 0.0837108i 0.0992057 0.995067i \(-0.468370\pi\)
−0.411619 + 0.911356i \(0.635036\pi\)
\(194\) 120.701 + 69.6870i 0.622173 + 0.359212i
\(195\) −368.244 48.6973i −1.88843 0.249730i
\(196\) 72.6955 + 65.7219i 0.370895 + 0.335316i
\(197\) −72.9575 + 72.9575i −0.370342 + 0.370342i −0.867602 0.497259i \(-0.834340\pi\)
0.497259 + 0.867602i \(0.334340\pi\)
\(198\) 96.3188 125.108i 0.486458 0.631858i
\(199\) −98.5803 170.746i −0.495378 0.858020i 0.504608 0.863349i \(-0.331637\pi\)
−0.999986 + 0.00532864i \(0.998304\pi\)
\(200\) 27.0892 + 65.3160i 0.135446 + 0.326580i
\(201\) 191.563 127.775i 0.953048 0.635698i
\(202\) 129.931 129.931i 0.643222 0.643222i
\(203\) 81.3918 111.788i 0.400945 0.550682i
\(204\) −26.4442 + 53.5149i −0.129628 + 0.262328i
\(205\) 17.9977 90.5869i 0.0877935 0.441887i
\(206\) 47.5100 + 82.2898i 0.230631 + 0.399465i
\(207\) −7.79877 18.9139i −0.0376752 0.0913715i
\(208\) 95.6781 25.6369i 0.459991 0.123254i
\(209\) 148.969i 0.712772i
\(210\) 142.444 41.9477i 0.678306 0.199751i
\(211\) 6.79097 0.0321847 0.0160924 0.999871i \(-0.494877\pi\)
0.0160924 + 0.999871i \(0.494877\pi\)
\(212\) −41.0223 153.097i −0.193502 0.722158i
\(213\) 58.0612 66.0988i 0.272588 0.310323i
\(214\) −125.053 + 72.1994i −0.584360 + 0.337380i
\(215\) −133.088 199.083i −0.619012 0.925966i
\(216\) −74.9359 + 14.7178i −0.346925 + 0.0681379i
\(217\) 38.7248 364.895i 0.178455 1.68154i
\(218\) 31.9328 + 31.9328i 0.146481 + 0.146481i
\(219\) −36.8791 + 24.5990i −0.168398 + 0.112324i
\(220\) −93.2842 81.7709i −0.424019 0.371686i
\(221\) −213.356 + 123.181i −0.965411 + 0.557380i
\(222\) 6.32822 31.6809i 0.0285055 0.142707i
\(223\) 120.317 + 120.317i 0.539537 + 0.539537i 0.923393 0.383856i \(-0.125404\pi\)
−0.383856 + 0.923393i \(0.625404\pi\)
\(224\) −30.7986 + 24.8887i −0.137494 + 0.111110i
\(225\) 58.4861 217.266i 0.259938 0.965625i
\(226\) 156.967 271.875i 0.694546 1.20299i
\(227\) 91.7855 342.548i 0.404342 1.50902i −0.400925 0.916111i \(-0.631311\pi\)
0.805267 0.592912i \(-0.202022\pi\)
\(228\) −47.5513 + 54.1340i −0.208558 + 0.237430i
\(229\) 40.1136 69.4788i 0.175169 0.303401i −0.765051 0.643970i \(-0.777286\pi\)
0.940220 + 0.340569i \(0.110620\pi\)
\(230\) −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
\(233\) −85.7717 + 22.9825i −0.368119 + 0.0986372i −0.438136 0.898909i \(-0.644361\pi\)
0.0700172 + 0.997546i \(0.477695\pi\)
\(234\) −290.999 121.085i −1.24359 0.517456i
\(235\) −7.72143 117.401i −0.0328571 0.499581i
\(236\) −6.99027 + 12.1075i −0.0296198 + 0.0513030i
\(237\) 131.770 + 389.211i 0.555993 + 1.64224i
\(238\) 57.9696 79.6190i 0.243570 0.334534i
\(239\) 324.480 1.35766 0.678828 0.734297i \(-0.262488\pi\)
0.678828 + 0.734297i \(0.262488\pi\)
\(240\) 7.79710 + 59.4912i 0.0324879 + 0.247880i
\(241\) 199.017 114.903i 0.825799 0.476775i −0.0266134 0.999646i \(-0.508472\pi\)
0.852412 + 0.522871i \(0.175139\pi\)
\(242\) 44.9208 + 12.0365i 0.185623 + 0.0497376i
\(243\) 217.506 + 108.352i 0.895087 + 0.445892i
\(244\) 12.8377 0.0526137
\(245\) −243.353 + 28.3596i −0.993278 + 0.115754i
\(246\) 34.7178 70.2581i 0.141129 0.285602i
\(247\) −287.245 + 76.9671i −1.16293 + 0.311607i
\(248\) 143.216 + 38.3745i 0.577482 + 0.154736i
\(249\) 55.0141 3.56138i 0.220940 0.0143027i
\(250\) −167.433 56.7100i −0.669734 0.226840i
\(251\) −28.3486 −0.112943 −0.0564713 0.998404i \(-0.517985\pi\)
−0.0564713 + 0.998404i \(0.517985\pi\)
\(252\) 125.965 2.96837i 0.499861 0.0117792i
\(253\) 19.9396 19.9396i 0.0788127 0.0788127i
\(254\) 28.1408 48.7412i 0.110790 0.191895i
\(255\) −57.0280 137.904i −0.223639 0.540799i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) −178.788 + 47.9061i −0.695673 + 0.186405i −0.589292 0.807920i \(-0.700593\pi\)
−0.106382 + 0.994325i \(0.533927\pi\)
\(258\) −65.1609 192.466i −0.252562 0.745994i
\(259\) −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
\(262\) −247.728 66.3785i −0.945526 0.253353i
\(263\) 39.8031 148.547i 0.151343 0.564818i −0.848048 0.529919i \(-0.822222\pi\)
0.999391 0.0348993i \(-0.0111110\pi\)
\(264\) −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
\(267\) −101.133 298.718i −0.378776 1.11879i
\(268\) −39.7316 148.280i −0.148252 0.553285i
\(269\) 411.851 237.783i 1.53105 0.883950i 0.531732 0.846912i \(-0.321541\pi\)
0.999314 0.0370376i \(-0.0117921\pi\)
\(270\) 95.8210 165.131i 0.354893 0.611597i
\(271\) 319.911 + 184.701i 1.18048 + 0.681552i 0.956126 0.292955i \(-0.0946387\pi\)
0.224356 + 0.974507i \(0.427972\pi\)
\(272\) 28.1391 + 28.1391i 0.103453 + 0.103453i
\(273\) 439.299 + 278.293i 1.60915 + 1.01939i
\(274\) 179.828i 0.656308i
\(275\) 307.454 40.6178i 1.11801 0.147701i
\(276\) −13.6106 + 0.881092i −0.0493138 + 0.00319236i
\(277\) 1.92704 7.19180i 0.00695682 0.0259632i −0.962360 0.271777i \(-0.912389\pi\)
0.969317 + 0.245814i \(0.0790553\pi\)
\(278\) 15.8514 + 59.1583i 0.0570195 + 0.212800i
\(279\) −286.602 374.754i −1.02725 1.34320i
\(280\) 3.96422 98.9155i 0.0141579 0.353270i
\(281\) 250.182i 0.890329i −0.895449 0.445164i \(-0.853145\pi\)
0.895449 0.445164i \(-0.146855\pi\)
\(282\) 19.5553 97.8997i 0.0693452 0.347162i
\(283\) −80.1352 + 299.069i −0.283163 + 1.05678i 0.667008 + 0.745051i \(0.267575\pi\)
−0.950171 + 0.311729i \(0.899092\pi\)
\(284\) −29.3260 50.7942i −0.103261 0.178853i
\(285\) −23.4085 178.605i −0.0821350 0.626683i
\(286\) 434.431i 1.51899i
\(287\) −76.1066 + 104.529i −0.265180 + 0.364214i
\(288\) −6.72651 + 50.4654i −0.0233559 + 0.175227i
\(289\) 164.566 + 95.0120i 0.569431 + 0.328761i
\(290\) −139.382 + 9.16711i −0.480629 + 0.0316107i
\(291\) −295.040 + 19.0996i −1.01388 + 0.0656343i
\(292\) 7.64903 + 28.5466i 0.0261953 + 0.0977622i
\(293\) −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
\(297\) −22.7123 + 334.164i −0.0764723 + 1.12513i
\(298\) 68.7093 + 18.4106i 0.230568 + 0.0617806i
\(299\) −48.7499 28.1458i −0.163043 0.0941331i
\(300\) −124.691 83.3797i −0.415636 0.277932i
\(301\) 52.1114 + 331.184i 0.173128 + 1.10028i
\(302\) 201.081 201.081i 0.665832 0.665832i
\(303\) −76.3522 + 382.241i −0.251988 + 1.26152i
\(304\) 24.0176 + 41.5997i 0.0790053 + 0.136841i
\(305\) −21.1559 + 24.1346i −0.0693635 + 0.0791298i
\(306\) −16.3260 125.569i −0.0533530 0.410356i
\(307\) 93.3285 93.3285i 0.304002 0.304002i −0.538576 0.842577i \(-0.681037\pi\)
0.842577 + 0.538576i \(0.181037\pi\)
\(308\) 70.4777 + 158.727i 0.228824 + 0.515347i
\(309\) −180.709 89.2967i −0.584819 0.288986i
\(310\) −308.154 + 206.002i −0.994045 + 0.664523i
\(311\) 256.340 + 443.994i 0.824245 + 1.42763i 0.902495 + 0.430700i \(0.141733\pi\)
−0.0782503 + 0.996934i \(0.524933\pi\)
\(312\) −138.671 + 157.868i −0.444459 + 0.505987i
\(313\) −382.062 + 102.373i −1.22064 + 0.327071i −0.810930 0.585143i \(-0.801038\pi\)
−0.409715 + 0.912214i \(0.634372\pi\)
\(314\) 409.387i 1.30378i
\(315\) −202.003 + 241.702i −0.641278 + 0.767309i
\(316\) 273.942 0.866904
\(317\) −10.8255 40.4015i −0.0341500 0.127449i 0.946747 0.321980i \(-0.104348\pi\)
−0.980896 + 0.194530i \(0.937682\pi\)
\(318\) 252.609 + 221.892i 0.794368 + 0.697774i
\(319\) 212.221 122.526i 0.665269 0.384094i
\(320\) 39.2332 + 7.79479i 0.122604 + 0.0243587i
\(321\) 135.701 274.617i 0.422745 0.855506i
\(322\) 22.3777 + 2.37486i 0.0694960 + 0.00737533i
\(323\) −84.4792 84.4792i −0.261546 0.261546i
\(324\) 114.919 114.182i 0.354689 0.352414i
\(325\) −237.170 571.851i −0.729754 1.75954i
\(326\) 96.0581 55.4592i 0.294657 0.170120i
\(327\) −93.9426 18.7649i −0.287286 0.0573850i
\(328\) −36.9430 36.9430i −0.112631 0.112631i
\(329\) −59.1847 + 153.717i −0.179893 + 0.467225i
\(330\) 260.879 + 34.4991i 0.790542 + 0.104543i
\(331\) 22.6830 39.2881i 0.0685287 0.118695i −0.829725 0.558172i \(-0.811503\pi\)
0.898254 + 0.439477i \(0.144836\pi\)
\(332\) 9.51234 35.5005i 0.0286516 0.106929i
\(333\) 26.1245 + 63.3583i 0.0784521 + 0.190265i
\(334\) −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 \(0.758715\pi\)
\(338\) −606.818 + 162.596i −1.79532 + 0.481055i
\(339\) 43.0210 + 664.565i 0.126906 + 1.96037i
\(340\) −99.2723 + 6.52908i −0.291977 + 0.0192032i
\(341\) 325.139 563.157i 0.953486 1.65149i
\(342\) 20.1943 151.507i 0.0590477 0.443004i
\(343\) 325.890 + 106.981i 0.950115 + 0.311899i
\(344\) −135.465 −0.393794
\(345\) 20.7731 27.0395i 0.0602118 0.0783755i
\(346\) −249.899 + 144.280i −0.722253 + 0.416993i
\(347\) −64.2822 17.2244i −0.185251 0.0496380i 0.165001 0.986293i \(-0.447237\pi\)
−0.350252 + 0.936655i \(0.613904\pi\)
\(348\) −116.229 23.2167i −0.333993 0.0667146i
\(349\) −469.199 −1.34441 −0.672204 0.740366i \(-0.734652\pi\)
−0.672204 + 0.740366i \(0.734652\pi\)
\(350\) 179.425 + 170.460i 0.512644 + 0.487028i
\(351\) 656.075 128.856i 1.86916 0.367112i
\(352\) −67.7822 + 18.1622i −0.192563 + 0.0515972i
\(353\) 78.9503 + 21.1547i 0.223655 + 0.0599282i 0.368906 0.929467i \(-0.379732\pi\)
−0.145251 + 0.989395i \(0.546399\pi\)
\(354\) −1.91587 29.5952i −0.00541206 0.0836024i
\(355\) 143.819 + 28.5738i 0.405124 + 0.0804895i
\(356\) −210.249 −0.590586
\(357\) −8.58111 + 208.746i −0.0240367 + 0.584722i
\(358\) −82.5798 + 82.5798i −0.230670 + 0.230670i
\(359\) −128.468 + 222.513i −0.357850 + 0.619815i −0.987601 0.156982i \(-0.949823\pi\)
0.629751 + 0.776797i \(0.283157\pi\)
\(360\) −83.7885 95.8096i −0.232746 0.266138i
\(361\) 108.394 + 187.744i 0.300261 + 0.520068i
\(362\) −349.427 + 93.6286i −0.965267 + 0.258643i
\(363\) −93.4430 + 31.6358i −0.257419 + 0.0871510i
\(364\) 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
\(367\) 340.989 + 91.3678i 0.929126 + 0.248959i 0.691482 0.722394i \(-0.256958\pi\)
0.237644 + 0.971352i \(0.423625\pi\)
\(368\) −2.35337 + 8.78291i −0.00639504 + 0.0238666i
\(369\) 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
\(372\) −297.913 + 100.861i −0.800841 + 0.271131i
\(373\) 36.1120 + 134.772i 0.0968150 + 0.361318i 0.997288 0.0735926i \(-0.0234465\pi\)
−0.900473 + 0.434911i \(0.856780\pi\)
\(374\) 151.150 87.2665i 0.404144 0.233333i
\(375\) 362.235 97.0103i 0.965959 0.258694i
\(376\) −57.6390 33.2779i −0.153295 0.0885050i
\(377\) −345.903 345.903i −0.917514 0.917514i
\(378\) −218.804 + 153.515i −0.578847 + 0.406124i
\(379\) 603.595i 1.59260i 0.604903 + 0.796299i \(0.293212\pi\)
−0.604903 + 0.796299i \(0.706788\pi\)
\(380\) −117.786 23.4015i −0.309963 0.0615829i
\(381\) 7.71272 + 119.142i 0.0202434 + 0.312708i
\(382\) −85.8405 + 320.361i −0.224713 + 0.838641i
\(383\) −144.948 540.952i −0.378454 1.41241i −0.848232 0.529624i \(-0.822333\pi\)
0.469779 0.882784i \(-0.344334\pi\)
\(384\) 30.4288 + 15.0363i 0.0792416 + 0.0391569i
\(385\) −414.545 129.077i −1.07674 0.335264i
\(386\) 88.2791i 0.228702i
\(387\) 341.550 + 262.955i 0.882558 + 0.679470i
\(388\) −51.0145 + 190.389i −0.131481 + 0.490692i
\(389\) −193.521 335.189i −0.497484 0.861668i 0.502512 0.864570i \(-0.332409\pi\)
−0.999996 + 0.00290262i \(0.999076\pi\)
\(390\) −68.2649 520.855i −0.175038 1.33553i
\(391\) 22.6152i 0.0578393i
\(392\) −63.1693 + 123.360i −0.161146 + 0.314693i
\(393\) 515.316 174.464i 1.31124 0.443929i
\(394\) −126.366 72.9575i −0.320726 0.185171i
\(395\) −451.440 + 515.002i −1.14289 + 1.30380i
\(396\) 206.156 + 85.7812i 0.520595 + 0.216619i
\(397\) 39.0460 + 145.722i 0.0983527 + 0.367057i 0.997506 0.0705756i \(-0.0224836\pi\)
−0.899154 + 0.437633i \(0.855817\pi\)
\(398\) 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 0.483645 0.875264i \(-0.339313\pi\)
−0.516179 + 0.856481i \(0.672646\pi\)
\(402\) 244.661 + 214.911i 0.608610 + 0.534603i
\(403\) −1253.87 335.975i −3.11135 0.833684i
\(404\) 225.047 + 129.931i 0.557047 + 0.321611i
\(405\) 25.2788 + 404.210i 0.0624167 + 0.998050i
\(406\) 182.497 + 70.2658i 0.449501 + 0.173069i
\(407\) −66.7943 + 66.7943i −0.164114 + 0.164114i
\(408\) −82.7820 16.5356i −0.202897 0.0405284i
\(409\) −228.214 395.279i −0.557981 0.966452i −0.997665 0.0682992i \(-0.978243\pi\)
0.439684 0.898153i \(-0.355091\pi\)
\(410\) 130.332 8.57184i 0.317882 0.0209069i
\(411\) −211.680 317.354i −0.515037 0.772151i
\(412\) −95.0201 + 95.0201i −0.230631 + 0.230631i
\(413\) −5.16395 + 48.6586i −0.0125035 + 0.117818i
\(414\) 22.9823 17.5763i 0.0555129 0.0424548i
\(415\) 51.0642 + 76.3857i 0.123046 + 0.184062i
\(416\) 70.0412 + 121.315i 0.168368 + 0.291623i
\(417\) −97.6105 85.7411i −0.234078 0.205614i
\(418\) 203.496 54.5266i 0.486832 0.130446i
\(419\) 478.799i 1.14272i −0.820700 0.571359i \(-0.806416\pi\)
0.820700 0.571359i \(-0.193584\pi\)
\(420\) 109.440 + 179.229i 0.260571 + 0.426735i
\(421\) −106.194 −0.252243 −0.126122 0.992015i \(-0.540253\pi\)
−0.126122 + 0.992015i \(0.540253\pi\)
\(422\) 2.48567 + 9.27664i 0.00589021 + 0.0219826i
\(423\) 80.7295 + 195.789i 0.190850 + 0.462857i
\(424\) 194.120 112.075i 0.457830 0.264328i
\(425\) 151.320 197.388i 0.356048 0.464443i
\(426\) 111.544 + 55.1192i 0.261841 + 0.129388i
\(427\) 41.0660 18.2340i 0.0961732 0.0427027i
\(428\) −144.399 144.399i −0.337380 0.337380i
\(429\) 511.379 + 766.667i 1.19203 + 1.78710i
\(430\) 223.239 254.670i 0.519159 0.592257i
\(431\) −65.6870 + 37.9244i −0.152406 + 0.0879916i −0.574264 0.818670i \(-0.694712\pi\)
0.421858 + 0.906662i \(0.361378\pi\)
\(432\) −47.5333 96.9772i −0.110031 0.224484i
\(433\) 93.6962 + 93.6962i 0.216388 + 0.216388i 0.806975 0.590586i \(-0.201103\pi\)
−0.590586 + 0.806975i \(0.701103\pi\)
\(434\) 512.630 80.6616i 1.18117 0.185856i
\(435\) 235.186 180.248i 0.540657 0.414363i
\(436\) −31.9328 + 55.3092i −0.0732403 + 0.126856i
\(437\) 7.06530 26.3681i 0.0161677 0.0603388i
\(438\) −47.1015 41.3740i −0.107538 0.0944612i
\(439\) 77.2676 133.831i 0.176008 0.304855i −0.764502 0.644622i \(-0.777015\pi\)
0.940510 + 0.339767i \(0.110348\pi\)
\(440\) 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
\(443\) −413.388 + 110.767i −0.933156 + 0.250038i −0.693200 0.720745i \(-0.743800\pi\)
−0.239956 + 0.970784i \(0.577133\pi\)
\(444\) 45.5932 2.95151i 0.102687 0.00664754i
\(445\) 346.478 395.261i 0.778602 0.888228i
\(446\) −120.317 + 208.395i −0.269768 + 0.467252i
\(447\) −142.927 + 48.3890i −0.319747 + 0.108253i
\(448\) −45.2717 32.9617i −0.101053 0.0735753i
\(449\) −145.264 −0.323527 −0.161763 0.986830i \(-0.551718\pi\)
−0.161763 + 0.986830i \(0.551718\pi\)
\(450\) 318.198 + 0.368714i 0.707106 + 0.000819365i
\(451\) −198.440 + 114.570i −0.440001 + 0.254034i
\(452\) 428.843 + 114.908i 0.948767 + 0.254221i
\(453\) −118.163 + 591.558i −0.260845 + 1.30587i
\(454\) 501.525 1.10468
\(455\) −34.7074 + 866.021i −0.0762800 + 1.90334i
\(456\) −91.3533 45.1419i −0.200336 0.0989953i
\(457\) −792.590 + 212.374i −1.73433 + 0.464713i −0.981174 0.193127i \(-0.938137\pi\)
−0.753158 + 0.657839i \(0.771471\pi\)
\(458\) 109.592 + 29.3652i 0.239285 + 0.0641162i
\(459\) 176.622 + 202.382i 0.384797 + 0.440919i
\(460\) −12.6334 18.8980i −0.0274639 0.0410826i
\(461\) 204.599 0.443817 0.221908 0.975068i \(-0.428771\pi\)
0.221908 + 0.975068i \(0.428771\pi\)
\(462\) −311.217 197.154i −0.673631 0.426741i
\(463\) 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
\(465\) 301.328 726.280i 0.648017 1.56189i
\(466\) −62.7893 108.754i −0.134741 0.233378i
\(467\) 223.760 59.9564i 0.479144 0.128386i −0.0111598 0.999938i \(-0.503552\pi\)
0.490304 + 0.871551i \(0.336886\pi\)
\(468\) 58.8916 441.832i 0.125837 0.944086i
\(469\) −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
\(472\) −19.0978 5.11723i −0.0404614 0.0108416i
\(473\) −153.771 + 573.883i −0.325098 + 1.21328i
\(474\) −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
\(477\) −706.989 94.2342i −1.48216 0.197556i
\(478\) 118.768 + 443.248i 0.248468 + 0.927296i
\(479\) 311.301 179.730i 0.649898 0.375219i −0.138519 0.990360i \(-0.544234\pi\)
0.788417 + 0.615141i \(0.210901\pi\)
\(480\) −78.4126 + 32.4263i −0.163360 + 0.0675549i
\(481\) 163.304 + 94.2836i 0.339509 + 0.196016i
\(482\) 229.806 + 229.806i 0.476775 + 0.476775i
\(483\) −42.2868 + 22.1503i −0.0875503 + 0.0458598i
\(484\) 65.7687i 0.135886i
\(485\) −273.856 409.655i −0.564652 0.844649i
\(486\) −68.3986 + 336.778i −0.140738 + 0.692959i
\(487\) −118.310 + 441.541i −0.242937 + 0.906654i 0.731472 + 0.681872i \(0.238834\pi\)
−0.974409 + 0.224782i \(0.927833\pi\)
\(488\) 4.69894 + 17.5367i 0.00962898 + 0.0359358i
\(489\) −104.237 + 210.944i −0.213164 + 0.431379i
\(490\) −127.813 322.046i −0.260844 0.657237i
\(491\) 587.015i 1.19555i 0.801664 + 0.597775i \(0.203948\pi\)
−0.801664 + 0.597775i \(0.796052\pi\)
\(492\) 108.682 + 21.7091i 0.220898 + 0.0441242i
\(493\) 50.8653 189.832i 0.103175 0.385055i
\(494\) −210.278 364.212i −0.425664 0.737271i
\(495\) −500.998 + 246.204i −1.01212 + 0.497381i
\(496\) 209.682i 0.422746i
\(497\) −165.955 120.830i −0.333913 0.243118i
\(498\) 25.0015 + 73.8472i 0.0502038 + 0.148287i
\(499\) −505.419 291.804i −1.01286 0.584778i −0.100836 0.994903i \(-0.532152\pi\)
−0.912029 + 0.410125i \(0.865485\pi\)
\(500\) 16.1824 249.476i 0.0323648 0.498951i
\(501\) −39.6404 612.342i −0.0791225 1.22224i
\(502\) −10.3763 38.7249i −0.0206699 0.0771413i
\(503\) 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
\(507\) 879.493 1001.24i 1.73470 1.97484i
\(508\) 76.8820 + 20.6005i 0.151342 + 0.0405521i
\(509\) −235.694 136.078i −0.463053 0.267344i 0.250274 0.968175i \(-0.419479\pi\)
−0.713327 + 0.700831i \(0.752813\pi\)
\(510\) 167.506 128.378i 0.328444 0.251721i
\(511\) 65.0141 + 80.4518i 0.127229 + 0.157440i
\(512\) 16.0000 16.0000i 0.0312500 0.0312500i
\(513\) 142.705 + 291.145i 0.278176 + 0.567535i
\(514\) −130.882 226.694i −0.254634 0.441039i
\(515\) −22.0474 335.223i −0.0428105 0.650918i
\(516\) 239.063 159.459i 0.463301 0.309029i
\(517\) −206.406 + 206.406i −0.399238 + 0.399238i
\(518\) −74.9615 7.95537i −0.144713 0.0153578i
\(519\) 271.178 548.781i 0.522501 1.05738i
\(520\) −343.492 68.2445i −0.660562 0.131240i
\(521\) 35.4235 + 61.3553i 0.0679913 + 0.117764i 0.898017 0.439961i \(-0.145008\pi\)
−0.830026 + 0.557725i \(0.811674\pi\)
\(522\) 232.446 95.8445i 0.445299 0.183610i
\(523\) −359.546 + 96.3401i −0.687468 + 0.184207i −0.585611 0.810592i \(-0.699145\pi\)
−0.101858 + 0.994799i \(0.532479\pi\)
\(524\) 362.699i 0.692173i
\(525\) −517.295 89.6146i −0.985324 0.170695i
\(526\) 217.488 0.413476
\(527\) −134.978 503.745i −0.256125 0.955872i
\(528\) 98.2403 111.840i 0.186061 0.211818i
\(529\) −453.652 + 261.916i −0.857566 + 0.495116i
\(530\) −109.200 + 549.633i −0.206038 + 1.03704i
\(531\) 38.2183 + 49.9733i 0.0719742 + 0.0941117i
\(532\) 135.915 + 98.9578i 0.255479 + 0.186011i
\(533\) 323.442 + 323.442i 0.606832 + 0.606832i
\(534\) 371.039 247.489i 0.694829 0.463462i
\(535\) 509.426 33.5047i 0.952198 0.0626255i
\(536\) 188.012 108.549i 0.350769 0.202516i
\(537\) 48.5270 242.940i 0.0903669 0.452403i
\(538\) 475.565 + 475.565i 0.883950 + 0.883950i
\(539\) 450.894 + 407.640i 0.836539 + 0.756290i
\(540\) 260.646 + 70.4516i 0.482679 + 0.130466i
\(541\) −3.41709 + 5.91858i −0.00631626 + 0.0109401i −0.869166 0.494520i \(-0.835344\pi\)
0.862850 + 0.505460i \(0.168677\pi\)
\(542\) −135.210 + 504.611i −0.249465 + 0.931017i
\(543\) 506.442 576.551i 0.932675 1.06179i
\(544\) −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 \(0.813573\pi\)
\(548\) −245.650 + 65.8217i −0.448266 + 0.120113i
\(549\) 22.1934 53.3368i 0.0404251 0.0971526i
\(550\) 168.021 + 405.123i 0.305493 + 0.736587i
\(551\) 118.612 205.443i 0.215268 0.372854i
\(552\) −6.18543 18.2699i −0.0112055 0.0330977i
\(553\) 876.297 389.092i 1.58462 0.703602i
\(554\) 10.5295 0.0190064
\(555\) −69.5862 + 90.5778i −0.125381 + 0.163203i
\(556\) −75.0097 + 43.3069i −0.134910 + 0.0778900i
\(557\) 653.178 + 175.018i 1.17267 + 0.314216i 0.792016 0.610501i \(-0.209032\pi\)
0.380655 + 0.924717i \(0.375699\pi\)
\(558\) 407.020 528.675i 0.729426 0.947446i
\(559\) 1186.02 2.12168
\(560\) 136.572 30.7904i 0.243879 0.0549828i
\(561\) −164.020 + 331.927i −0.292371 + 0.591669i
\(562\) 341.755 91.5731i 0.608106 0.162941i
\(563\) 791.706 + 212.137i 1.40623 + 0.376797i 0.880577 0.473903i \(-0.157155\pi\)
0.525650 + 0.850701i \(0.323822\pi\)
\(564\) 140.891 9.12068i 0.249807 0.0161714i
\(565\) −922.731 + 616.850i −1.63315 + 1.09177i
\(566\) −437.867 −0.773616
\(567\) 205.431 528.476i 0.362312 0.932057i
\(568\) 58.6521 58.6521i 0.103261 0.103261i
\(569\) −300.221 + 519.999i −0.527630 + 0.913882i 0.471852 + 0.881678i \(0.343586\pi\)
−0.999481 + 0.0322036i \(0.989747\pi\)
\(570\) 235.410 97.3504i 0.413001 0.170790i
\(571\) 184.989 + 320.410i 0.323973 + 0.561139i 0.981304 0.192464i \(-0.0616478\pi\)
−0.657331 + 0.753602i \(0.728314\pi\)
\(572\) 593.444 159.013i 1.03749 0.277995i
\(573\) −225.616 666.405i −0.393746 1.16301i
\(574\) −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
\(577\) 629.390 + 168.644i 1.09080 + 0.292278i 0.759012 0.651077i \(-0.225682\pi\)
0.331785 + 0.943355i \(0.392349\pi\)
\(578\) −69.5536 + 259.577i −0.120335 + 0.449096i
\(579\) 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
\(582\) −134.082 396.041i −0.230382 0.680482i
\(583\) −254.441 949.588i −0.436434 1.62880i
\(584\) −36.1956 + 20.8975i −0.0619787 + 0.0357834i
\(585\) 733.581 + 838.828i 1.25399 + 1.43389i
\(586\) −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 \(0.618690\pi\)
\(588\) −33.7309 292.059i −0.0573655 0.496698i
\(589\) 629.508i 1.06877i
\(590\) 41.0923 27.4703i 0.0696479 0.0465599i
\(591\) 308.886 19.9959i 0.522649 0.0338340i
\(592\) 7.88340 29.4212i 0.0133165 0.0496980i
\(593\) −217.567 811.972i −0.366893 1.36926i −0.864837 0.502053i \(-0.832578\pi\)
0.497944 0.867209i \(-0.334088\pi\)
\(594\) −464.790 + 91.2871i −0.782475 + 0.153682i
\(595\) −308.283 + 161.887i −0.518123 + 0.272078i
\(596\) 100.597i 0.168788i
\(597\) −115.859 + 580.023i −0.194069 + 0.971563i
\(598\) 20.6041 76.8957i 0.0344551 0.128588i
\(599\) −114.855 198.935i −0.191745 0.332112i 0.754083 0.656779i \(-0.228081\pi\)
−0.945829 + 0.324666i \(0.894748\pi\)
\(600\) 68.2588 200.850i 0.113765 0.334750i
\(601\) 500.222i 0.832317i −0.909292 0.416158i \(-0.863376\pi\)
0.909292 0.416158i \(-0.136624\pi\)
\(602\) −433.332 + 192.407i −0.719820 + 0.319614i
\(603\) −684.745 91.2693i −1.13556 0.151359i
\(604\) 348.283 + 201.081i 0.576628 + 0.332916i
\(605\) −123.643 108.383i −0.204369 0.179145i
\(606\) −550.098 + 35.6110i −0.907753 + 0.0587640i
\(607\) −130.568 487.286i −0.215104 0.802778i −0.986130 0.165974i \(-0.946923\pi\)
0.771026 0.636803i \(-0.219744\pi\)
\(608\) −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
\(612\) 165.555 68.2632i 0.270514 0.111541i
\(613\) −116.493 31.2143i −0.190038 0.0509206i 0.162545 0.986701i \(-0.448030\pi\)
−0.352583 + 0.935781i \(0.614697\pi\)
\(614\) 161.650 + 93.3285i 0.263273 + 0.152001i
\(615\) −219.914 + 168.544i −0.357584 + 0.274055i
\(616\) −191.028 + 154.372i −0.310111 + 0.250604i
\(617\) −177.691 + 177.691i −0.287993 + 0.287993i −0.836286 0.548293i \(-0.815278\pi\)
0.548293 + 0.836286i \(0.315278\pi\)
\(618\) 55.8374 279.538i 0.0903517 0.452327i
\(619\) −160.858 278.615i −0.259868 0.450105i 0.706338 0.707875i \(-0.250346\pi\)
−0.966206 + 0.257769i \(0.917012\pi\)
\(620\) −394.196 345.544i −0.635801 0.557329i
\(621\) −19.8689 + 58.0710i −0.0319949 + 0.0935120i
\(622\) −512.680 + 512.680i −0.824245 + 0.824245i
\(623\) −672.553 + 298.626i −1.07954 + 0.479336i
\(624\) −266.409 131.645i −0.426937 0.210969i
\(625\) 442.339 + 441.544i 0.707743 + 0.706470i
\(626\) −279.689 484.435i −0.446787 0.773858i
\(627\) −294.937 + 335.766i −0.470394 + 0.535512i
\(628\) −559.234 + 149.846i −0.890499 + 0.238609i
\(629\) 75.7569i 0.120440i
\(630\) −404.109 187.471i −0.641444 0.297574i
\(631\) 967.459 1.53322 0.766608 0.642116i \(-0.221943\pi\)
0.766608 + 0.642116i \(0.221943\pi\)
\(632\) 100.270 + 374.211i 0.158654 + 0.592106i
\(633\) −15.3064 13.4451i −0.0241807 0.0212403i
\(634\) 51.2270 29.5759i 0.0807997 0.0466497i
\(635\) −165.425 + 110.587i −0.260512 + 0.174154i
\(636\) −210.649 + 426.289i −0.331209 + 0.670265i
\(637\) 553.057 1080.03i 0.868222 1.69550i
\(638\) 245.052 + 245.052i 0.384094 + 0.384094i
\(639\) −261.731 + 34.0293i −0.409595 + 0.0532540i
\(640\) 3.71246 + 56.4466i 0.00580072 + 0.0881978i
\(641\) −1072.34 + 619.114i −1.67291 + 0.965856i −0.706916 + 0.707298i \(0.749914\pi\)
−0.965996 + 0.258558i \(0.916753\pi\)
\(642\) 424.804 + 84.8541i 0.661689 + 0.132172i
\(643\) 193.264 + 193.264i 0.300566 + 0.300566i 0.841235 0.540669i \(-0.181829\pi\)
−0.540669 + 0.841235i \(0.681829\pi\)
\(644\) 4.94670 + 31.4378i 0.00768120 + 0.0488164i
\(645\) −94.1842 + 712.211i −0.146022 + 1.10420i
\(646\) 84.4792 146.322i 0.130773 0.226505i
\(647\) 213.123 795.387i 0.329402 1.22935i −0.580409 0.814325i \(-0.697107\pi\)
0.909812 0.415021i \(-0.136226\pi\)
\(648\) 198.039 + 115.189i 0.305616 + 0.177761i
\(649\) −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
\(653\) 883.061 236.615i 1.35231 0.362351i 0.491325 0.870976i \(-0.336513\pi\)
0.860988 + 0.508625i \(0.169846\pi\)
\(654\) −8.75203 135.196i −0.0133823 0.206722i
\(655\) 681.863 + 597.706i 1.04101 + 0.912529i
\(656\) 36.9430 63.9871i 0.0563155 0.0975413i
\(657\) 131.825 + 17.5709i 0.200647 + 0.0267442i
\(658\) −231.644 24.5835i −0.352043 0.0373609i
\(659\) 909.184 1.37964 0.689821 0.723980i \(-0.257689\pi\)
0.689821 + 0.723980i \(0.257689\pi\)
\(660\) 48.3616 + 368.995i 0.0732751 + 0.559083i
\(661\) −804.144 + 464.273i −1.21656 + 0.702379i −0.964180 0.265250i \(-0.914546\pi\)
−0.252377 + 0.967629i \(0.581212\pi\)
\(662\) 61.9711 + 16.6051i 0.0936119 + 0.0250832i
\(663\) 724.769 + 144.772i 1.09317 + 0.218358i
\(664\) 51.9764 0.0782777
\(665\) −410.017 + 92.4389i −0.616567 + 0.139006i
\(666\) −76.9869 + 58.8776i −0.115596 + 0.0884047i
\(667\) 43.3749 11.6223i 0.0650299 0.0174247i
\(668\) −395.143 105.878i −0.591532 0.158501i
\(669\) −32.9760 509.394i −0.0492914 0.761426i
\(670\) −105.764 + 532.339i −0.157857 + 0.794536i
\(671\) 79.6262 0.118668
\(672\) 118.694 + 4.87925i 0.176628 + 0.00726079i
\(673\) 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
\(675\) −561.977 + 373.907i −0.832559 + 0.553937i
\(676\) −444.222 769.415i −0.657133 1.13819i
\(677\) −661.147 + 177.154i −0.976583 + 0.261675i −0.711605 0.702580i \(-0.752031\pi\)
−0.264978 + 0.964254i \(0.585365\pi\)
\(678\) −892.066 + 302.015i −1.31573 + 0.445451i
\(679\) 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
\(682\) 888.296 + 238.018i 1.30249 + 0.349000i
\(683\) −13.8960 + 51.8605i −0.0203455 + 0.0759304i −0.975352 0.220654i \(-0.929181\pi\)
0.955007 + 0.296584i \(0.0958476\pi\)
\(684\) 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
\(687\) −227.971 + 77.1813i −0.331835 + 0.112345i
\(688\) −49.5837 185.049i −0.0720693 0.268966i
\(689\) −1699.55 + 981.235i −2.46669 + 1.42414i
\(690\) 44.5402 + 18.4794i 0.0645510 + 0.0267817i
\(691\) −340.261 196.450i −0.492418 0.284298i 0.233159 0.972439i \(-0.425094\pi\)
−0.725577 + 0.688141i \(0.758427\pi\)
\(692\) −288.559 288.559i −0.416993 0.416993i
\(693\) 781.299 18.4113i 1.12742 0.0265675i
\(694\) 94.1157i 0.135613i
\(695\) 42.1960 212.383i 0.0607136 0.305587i
\(696\) −10.8283 167.270i −0.0155580 0.240331i
\(697\) −47.5624 + 177.505i −0.0682387 + 0.254670i
\(698\) −171.739 640.937i −0.246044 0.918248i
\(699\) 238.825 + 118.014i 0.341667 + 0.168833i
\(700\) −167.178 + 307.492i −0.238826 + 0.439275i
\(701\) 122.711i 0.175052i 0.996162 + 0.0875259i \(0.0278960\pi\)
−0.996162 + 0.0875259i \(0.972104\pi\)
\(702\) 416.161 + 849.051i 0.592822 + 1.20947i
\(703\) −23.6675 + 88.3285i −0.0336665 + 0.125645i
\(704\) −49.6201 85.9444i −0.0704830 0.122080i
\(705\) −215.034 + 279.902i −0.305013 + 0.397024i
\(706\) 115.591i 0.163727i
\(707\) 904.437 + 95.9843i 1.27926 + 0.135763i
\(708\) 39.7266 13.4497i 0.0561110 0.0189968i
\(709\) 869.912 + 502.244i 1.22696 + 0.708384i 0.966392 0.257072i \(-0.0827579\pi\)
0.260565 + 0.965456i \(0.416091\pi\)
\(710\) 13.6090 + 206.919i 0.0191676 + 0.291436i
\(711\) 473.580 1138.14i 0.666076 1.60076i
\(712\) −76.9564 287.205i −0.108085 0.403378i
\(713\) 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
\(717\) −731.354 642.422i −1.02002 0.895986i
\(718\) −350.982 94.0453i −0.488832 0.130982i
\(719\) −477.102 275.455i −0.663563 0.383109i 0.130070 0.991505i \(-0.458480\pi\)
−0.793633 + 0.608396i \(0.791813\pi\)
\(720\) 100.210 149.526i 0.139180 0.207675i
\(721\) −168.993 + 438.916i −0.234387 + 0.608760i
\(722\) −216.789 + 216.789i −0.300261 + 0.300261i
\(723\) −676.061 135.042i −0.935078 0.186781i
\(724\) −255.798 443.055i −0.353312 0.611955i
\(725\) 456.349 + 188.785i 0.629446 + 0.260393i
\(726\) −77.4178 116.066i −0.106636 0.159871i
\(727\) 240.311 240.311i 0.330551 0.330551i −0.522244 0.852796i \(-0.674905\pi\)
0.852796 + 0.522244i \(0.174905\pi\)
\(728\) 396.360 + 288.585i 0.544451 + 0.396408i
\(729\) −275.722 674.847i −0.378220 0.925716i
\(730\) 20.3615 102.485i 0.0278924 0.140390i
\(731\) 238.242 + 412.646i 0.325912 + 0.564496i
\(732\) −28.9354 25.4168i −0.0395292 0.0347224i
\(733\) 803.442 215.282i 1.09610 0.293699i 0.334925 0.942245i \(-0.391289\pi\)
0.761176 + 0.648545i \(0.224622\pi\)
\(734\) 499.243i 0.680168i
\(735\) 604.648 + 417.882i 0.822651 + 0.568547i
\(736\) −12.8591 −0.0174716
\(737\) −246.436 919.711i −0.334377 1.24791i
\(738\) −217.352 + 89.6207i −0.294515 + 0.121437i
\(739\) 520.019 300.233i 0.703679 0.406269i −0.105037 0.994468i \(-0.533496\pi\)
0.808716 + 0.588199i \(0.200163\pi\)
\(740\) 42.3197 + 63.3050i 0.0571888 + 0.0855473i
\(741\) 799.813 + 395.224i 1.07937 + 0.533366i
\(742\) 461.774 634.228i 0.622337 0.854755i
\(743\) −883.804 883.804i −1.18951 1.18951i −0.977204 0.212303i \(-0.931903\pi\)
−0.212303 0.977204i \(-0.568097\pi\)
\(744\) −246.822 370.039i −0.331750 0.497364i
\(745\) −189.120 165.779i −0.253853 0.222522i
\(746\) −170.884 + 98.6598i −0.229067 + 0.132252i
\(747\) −131.049 100.893i −0.175434 0.135064i
\(748\) 174.533 + 174.533i 0.233333 + 0.233333i
\(749\) −667.006 256.813i −0.890528 0.342875i
\(750\) 265.106 + 459.314i 0.353474 + 0.612418i
\(751\) −273.083 + 472.994i −0.363626 + 0.629819i −0.988555 0.150863i \(-0.951795\pi\)
0.624928 + 0.780682i \(0.285128\pi\)
\(752\) 24.3611 90.9169i 0.0323951 0.120900i
\(753\) 63.8957 + 56.1260i 0.0848549 + 0.0745366i
\(754\) 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 \(0.460491\pi\)
\(758\) −824.526 + 220.931i −1.08776 + 0.291466i
\(759\) −84.4199 + 5.46498i −0.111225 + 0.00720024i
\(760\) −11.1456