Properties

Label 570.2.bf.a.59.15
Level $570$
Weight $2$
Character 570.59
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.15
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.27828 + 1.16876i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.18139 - 0.491467i) q^{5} +(-1.05591 - 1.37297i) q^{6} +(-3.69762 + 2.13482i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.268009 + 2.98800i) q^{9} +O(q^{10})\) \(q+(-0.984808 - 0.173648i) q^{2} +(1.27828 + 1.16876i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.18139 - 0.491467i) q^{5} +(-1.05591 - 1.37297i) q^{6} +(-3.69762 + 2.13482i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.268009 + 2.98800i) q^{9} +(-2.23359 + 0.105206i) q^{10} +(-2.36199 - 1.36370i) q^{11} +(0.801453 + 1.53547i) q^{12} +(-2.74838 + 2.30617i) q^{13} +(4.01215 - 1.46030i) q^{14} +(3.36284 + 1.92128i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-1.27551 + 7.23376i) q^{17} +(0.254925 - 2.98915i) q^{18} +(0.726170 + 4.29799i) q^{19} +(2.21793 + 0.284252i) q^{20} +(-7.22168 - 1.59272i) q^{21} +(2.08931 + 1.75314i) q^{22} +(-0.504945 - 0.183785i) q^{23} +(-0.522645 - 1.65132i) q^{24} +(4.51692 - 2.14416i) q^{25} +(3.10709 - 1.79388i) q^{26} +(-3.14966 + 4.13275i) q^{27} +(-4.20477 + 0.741415i) q^{28} +(-1.17349 - 6.65518i) q^{29} +(-2.97812 - 2.47605i) q^{30} +(6.25425 - 3.61089i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(-1.42546 - 4.50379i) q^{33} +(2.51226 - 6.90237i) q^{34} +(-7.01675 + 6.47413i) q^{35} +(-0.770112 + 2.89947i) q^{36} +7.30610 q^{37} +(0.0311996 - 4.35879i) q^{38} +(-6.20856 - 0.264264i) q^{39} +(-2.13487 - 0.665072i) q^{40} +(4.84829 + 4.06820i) q^{41} +(6.83540 + 2.82255i) q^{42} +(-0.172212 - 0.473148i) q^{43} +(-1.75314 - 2.08931i) q^{44} +(2.05314 + 6.38628i) q^{45} +(0.465360 + 0.268675i) q^{46} +(-0.399001 - 2.26285i) q^{47} +(0.227957 + 1.71698i) q^{48} +(5.61490 - 9.72530i) q^{49} +(-4.82063 + 1.32723i) q^{50} +(-10.0850 + 7.75602i) q^{51} +(-3.37139 + 1.22709i) q^{52} +(0.105929 - 0.291038i) q^{53} +(3.81946 - 3.52303i) q^{54} +(-5.82264 - 1.81392i) q^{55} +4.26964 q^{56} +(-4.09506 + 6.34275i) q^{57} +6.75785i q^{58} +(-1.70470 + 9.66782i) q^{59} +(2.50291 + 2.95557i) q^{60} +(1.45796 + 0.530655i) q^{61} +(-6.78625 + 2.46999i) q^{62} +(-7.36984 - 10.4763i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-4.86189 + 6.38139i) q^{65} +(0.621730 + 4.68290i) q^{66} +(0.976649 + 5.53885i) q^{67} +(-3.67267 + 6.36126i) q^{68} +(-0.430662 - 0.825087i) q^{69} +(8.03437 - 5.15732i) q^{70} +(-2.79006 + 1.01550i) q^{71} +(1.26190 - 2.72169i) q^{72} +(8.13201 - 9.69135i) q^{73} +(-7.19510 - 1.26869i) q^{74} +(8.27990 + 2.53835i) q^{75} +(-0.787621 + 4.28715i) q^{76} +11.6450 q^{77} +(6.06835 + 1.33835i) q^{78} +(-9.01228 + 10.7404i) q^{79} +(1.98695 + 1.02568i) q^{80} +(-8.85634 + 1.60162i) q^{81} +(-4.06820 - 4.84829i) q^{82} +(-7.26919 - 12.5906i) q^{83} +(-6.24142 - 3.96663i) q^{84} +(0.772774 + 16.4065i) q^{85} +(0.0874343 + 0.495865i) q^{86} +(6.27825 - 9.87872i) q^{87} +(1.36370 + 2.36199i) q^{88} +(7.27212 - 6.10204i) q^{89} +(-0.912978 - 6.64579i) q^{90} +(5.23922 - 14.3946i) q^{91} +(-0.411635 - 0.345403i) q^{92} +(12.2149 + 2.69397i) q^{93} +2.29776i q^{94} +(3.69638 + 9.01869i) q^{95} +(0.0736570 - 1.73048i) q^{96} +(-0.308725 + 1.75087i) q^{97} +(-7.21838 + 8.60253i) q^{98} +(3.44170 - 7.42313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 0.173648i −0.696364 0.122788i
\(3\) 1.27828 + 1.16876i 0.738016 + 0.674783i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) 2.18139 0.491467i 0.975547 0.219791i
\(6\) −1.05591 1.37297i −0.431073 0.560514i
\(7\) −3.69762 + 2.13482i −1.39757 + 0.806886i −0.994137 0.108125i \(-0.965515\pi\)
−0.403430 + 0.915011i \(0.632182\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 0.268009 + 2.98800i 0.0893362 + 0.996002i
\(10\) −2.23359 + 0.105206i −0.706324 + 0.0332690i
\(11\) −2.36199 1.36370i −0.712168 0.411171i 0.0996951 0.995018i \(-0.468213\pi\)
−0.811863 + 0.583848i \(0.801547\pi\)
\(12\) 0.801453 + 1.53547i 0.231360 + 0.443252i
\(13\) −2.74838 + 2.30617i −0.762265 + 0.639616i −0.938715 0.344693i \(-0.887983\pi\)
0.176451 + 0.984310i \(0.443538\pi\)
\(14\) 4.01215 1.46030i 1.07229 0.390282i
\(15\) 3.36284 + 1.92128i 0.868281 + 0.496073i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −1.27551 + 7.23376i −0.309356 + 1.75444i 0.292903 + 0.956142i \(0.405379\pi\)
−0.602258 + 0.798301i \(0.705732\pi\)
\(18\) 0.254925 2.98915i 0.0600863 0.704549i
\(19\) 0.726170 + 4.29799i 0.166595 + 0.986025i
\(20\) 2.21793 + 0.284252i 0.495944 + 0.0635606i
\(21\) −7.22168 1.59272i −1.57590 0.347559i
\(22\) 2.08931 + 1.75314i 0.445442 + 0.373770i
\(23\) −0.504945 0.183785i −0.105288 0.0383218i 0.288839 0.957378i \(-0.406731\pi\)
−0.394127 + 0.919056i \(0.628953\pi\)
\(24\) −0.522645 1.65132i −0.106685 0.337073i
\(25\) 4.51692 2.14416i 0.903384 0.428832i
\(26\) 3.10709 1.79388i 0.609351 0.351809i
\(27\) −3.14966 + 4.13275i −0.606153 + 0.795348i
\(28\) −4.20477 + 0.741415i −0.794627 + 0.140114i
\(29\) −1.17349 6.65518i −0.217911 1.23584i −0.875782 0.482706i \(-0.839654\pi\)
0.657871 0.753131i \(-0.271457\pi\)
\(30\) −2.97812 2.47605i −0.543728 0.452062i
\(31\) 6.25425 3.61089i 1.12330 0.648535i 0.181055 0.983473i \(-0.442049\pi\)
0.942240 + 0.334938i \(0.108715\pi\)
\(32\) −0.642788 0.766044i −0.113630 0.135419i
\(33\) −1.42546 4.50379i −0.248141 0.784009i
\(34\) 2.51226 6.90237i 0.430849 1.18375i
\(35\) −7.01675 + 6.47413i −1.18605 + 1.09433i
\(36\) −0.770112 + 2.89947i −0.128352 + 0.483245i
\(37\) 7.30610 1.20112 0.600558 0.799581i \(-0.294945\pi\)
0.600558 + 0.799581i \(0.294945\pi\)
\(38\) 0.0311996 4.35879i 0.00506125 0.707089i
\(39\) −6.20856 0.264264i −0.994166 0.0423161i
\(40\) −2.13487 0.665072i −0.337553 0.105157i
\(41\) 4.84829 + 4.06820i 0.757175 + 0.635346i 0.937390 0.348282i \(-0.113235\pi\)
−0.180215 + 0.983627i \(0.557679\pi\)
\(42\) 6.83540 + 2.82255i 1.05472 + 0.435529i
\(43\) −0.172212 0.473148i −0.0262621 0.0721545i 0.925869 0.377845i \(-0.123335\pi\)
−0.952131 + 0.305691i \(0.901113\pi\)
\(44\) −1.75314 2.08931i −0.264295 0.314975i
\(45\) 2.05314 + 6.38628i 0.306063 + 0.952011i
\(46\) 0.465360 + 0.268675i 0.0686135 + 0.0396140i
\(47\) −0.399001 2.26285i −0.0582003 0.330070i 0.941781 0.336228i \(-0.109151\pi\)
−0.999981 + 0.00615731i \(0.998040\pi\)
\(48\) 0.227957 + 1.71698i 0.0329028 + 0.247825i
\(49\) 5.61490 9.72530i 0.802129 1.38933i
\(50\) −4.82063 + 1.32723i −0.681740 + 0.187699i
\(51\) −10.0850 + 7.75602i −1.41218 + 1.08606i
\(52\) −3.37139 + 1.22709i −0.467528 + 0.170166i
\(53\) 0.105929 0.291038i 0.0145505 0.0399771i −0.932205 0.361931i \(-0.882117\pi\)
0.946755 + 0.321954i \(0.104340\pi\)
\(54\) 3.81946 3.52303i 0.519762 0.479424i
\(55\) −5.82264 1.81392i −0.785125 0.244588i
\(56\) 4.26964 0.570554
\(57\) −4.09506 + 6.34275i −0.542403 + 0.840118i
\(58\) 6.75785i 0.887349i
\(59\) −1.70470 + 9.66782i −0.221933 + 1.25864i 0.646530 + 0.762888i \(0.276219\pi\)
−0.868463 + 0.495754i \(0.834892\pi\)
\(60\) 2.50291 + 2.95557i 0.323125 + 0.381563i
\(61\) 1.45796 + 0.530655i 0.186673 + 0.0679435i 0.433665 0.901074i \(-0.357220\pi\)
−0.246992 + 0.969017i \(0.579442\pi\)
\(62\) −6.78625 + 2.46999i −0.861855 + 0.313690i
\(63\) −7.36984 10.4763i −0.928513 1.31989i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −4.86189 + 6.38139i −0.603044 + 0.791514i
\(66\) 0.621730 + 4.68290i 0.0765297 + 0.576425i
\(67\) 0.976649 + 5.53885i 0.119317 + 0.676679i 0.984522 + 0.175261i \(0.0560769\pi\)
−0.865205 + 0.501418i \(0.832812\pi\)
\(68\) −3.67267 + 6.36126i −0.445377 + 0.771416i
\(69\) −0.430662 0.825087i −0.0518456 0.0993288i
\(70\) 8.03437 5.15732i 0.960291 0.616418i
\(71\) −2.79006 + 1.01550i −0.331119 + 0.120517i −0.502229 0.864734i \(-0.667487\pi\)
0.171111 + 0.985252i \(0.445264\pi\)
\(72\) 1.26190 2.72169i 0.148716 0.320755i
\(73\) 8.13201 9.69135i 0.951780 1.13429i −0.0390588 0.999237i \(-0.512436\pi\)
0.990839 0.135050i \(-0.0431196\pi\)
\(74\) −7.19510 1.26869i −0.836414 0.147482i
\(75\) 8.27990 + 2.53835i 0.956081 + 0.293103i
\(76\) −0.787621 + 4.28715i −0.0903463 + 0.491770i
\(77\) 11.6450 1.32707
\(78\) 6.06835 + 1.33835i 0.687106 + 0.151539i
\(79\) −9.01228 + 10.7404i −1.01396 + 1.20839i −0.0360534 + 0.999350i \(0.511479\pi\)
−0.977907 + 0.209041i \(0.932966\pi\)
\(80\) 1.98695 + 1.02568i 0.222148 + 0.114675i
\(81\) −8.85634 + 1.60162i −0.984038 + 0.177958i
\(82\) −4.06820 4.84829i −0.449257 0.535404i
\(83\) −7.26919 12.5906i −0.797897 1.38200i −0.920983 0.389602i \(-0.872612\pi\)
0.123086 0.992396i \(-0.460721\pi\)
\(84\) −6.24142 3.96663i −0.680995 0.432794i
\(85\) 0.772774 + 16.4065i 0.0838191 + 1.77954i
\(86\) 0.0874343 + 0.495865i 0.00942828 + 0.0534704i
\(87\) 6.27825 9.87872i 0.673099 1.05911i
\(88\) 1.36370 + 2.36199i 0.145371 + 0.251789i
\(89\) 7.27212 6.10204i 0.770844 0.646815i −0.170081 0.985430i \(-0.554403\pi\)
0.940925 + 0.338615i \(0.109959\pi\)
\(90\) −0.912978 6.64579i −0.0962363 0.700527i
\(91\) 5.23922 14.3946i 0.549219 1.50897i
\(92\) −0.411635 0.345403i −0.0429159 0.0360107i
\(93\) 12.2149 + 2.69397i 1.26663 + 0.279351i
\(94\) 2.29776i 0.236995i
\(95\) 3.69638 + 9.01869i 0.379240 + 0.925298i
\(96\) 0.0736570 1.73048i 0.00751759 0.176617i
\(97\) −0.308725 + 1.75087i −0.0313463 + 0.177773i −0.996461 0.0840527i \(-0.973214\pi\)
0.965115 + 0.261826i \(0.0843247\pi\)
\(98\) −7.21838 + 8.60253i −0.729167 + 0.868987i
\(99\) 3.44170 7.42313i 0.345904 0.746053i
\(100\) 4.97786 0.469974i 0.497786 0.0469974i
\(101\) 10.3332 + 12.3147i 1.02820 + 1.22536i 0.973934 + 0.226830i \(0.0728360\pi\)
0.0542615 + 0.998527i \(0.482720\pi\)
\(102\) 11.2786 5.88695i 1.11675 0.582895i
\(103\) 4.58536 7.94208i 0.451809 0.782556i −0.546689 0.837335i \(-0.684112\pi\)
0.998498 + 0.0547792i \(0.0174455\pi\)
\(104\) 3.53326 0.623008i 0.346464 0.0610910i
\(105\) −16.5361 + 0.0748782i −1.61375 + 0.00730736i
\(106\) −0.154858 + 0.268222i −0.0150411 + 0.0260520i
\(107\) 4.50190 2.59917i 0.435215 0.251272i −0.266351 0.963876i \(-0.585818\pi\)
0.701566 + 0.712605i \(0.252485\pi\)
\(108\) −4.37320 + 2.80627i −0.420811 + 0.270033i
\(109\) 0.493837 + 1.35681i 0.0473010 + 0.129958i 0.961094 0.276222i \(-0.0890826\pi\)
−0.913793 + 0.406181i \(0.866860\pi\)
\(110\) 5.41920 + 2.79745i 0.516701 + 0.266726i
\(111\) 9.33925 + 8.53906i 0.886443 + 0.810492i
\(112\) −4.20477 0.741415i −0.397314 0.0700571i
\(113\) 8.31139i 0.781870i 0.920418 + 0.390935i \(0.127848\pi\)
−0.920418 + 0.390935i \(0.872152\pi\)
\(114\) 5.13425 5.53529i 0.480867 0.518428i
\(115\) −1.19181 0.152743i −0.111136 0.0142433i
\(116\) 1.17349 6.65518i 0.108956 0.617918i
\(117\) −7.62743 7.59411i −0.705157 0.702076i
\(118\) 3.35760 9.22492i 0.309092 0.849223i
\(119\) −10.7264 29.4706i −0.983290 2.70157i
\(120\) −1.95166 3.34530i −0.178161 0.305383i
\(121\) −1.78065 3.08418i −0.161878 0.280380i
\(122\) −1.34367 0.775766i −0.121650 0.0702346i
\(123\) 1.44274 + 10.8668i 0.130087 + 0.979824i
\(124\) 7.11207 1.25405i 0.638682 0.112617i
\(125\) 8.79938 6.89717i 0.787041 0.616901i
\(126\) 5.43868 + 11.5969i 0.484516 + 1.03314i
\(127\) 3.89943 3.27201i 0.346018 0.290344i −0.453171 0.891424i \(-0.649707\pi\)
0.799189 + 0.601080i \(0.205263\pi\)
\(128\) −0.342020 0.939693i −0.0302306 0.0830579i
\(129\) 0.332861 0.806091i 0.0293067 0.0709724i
\(130\) 5.89615 5.44019i 0.517126 0.477136i
\(131\) −8.06344 1.42180i −0.704506 0.124223i −0.190093 0.981766i \(-0.560879\pi\)
−0.514413 + 0.857543i \(0.671990\pi\)
\(132\) 0.200892 4.71972i 0.0174854 0.410799i
\(133\) −11.8605 14.3421i −1.02844 1.24361i
\(134\) 5.62430i 0.485865i
\(135\) −4.83954 + 10.5631i −0.416521 + 0.909126i
\(136\) 4.72150 5.62686i 0.404865 0.482500i
\(137\) −18.6166 6.77588i −1.59052 0.578902i −0.613064 0.790034i \(-0.710063\pi\)
−0.977458 + 0.211131i \(0.932285\pi\)
\(138\) 0.280844 + 0.887336i 0.0239070 + 0.0755350i
\(139\) 4.71577 3.95700i 0.399986 0.335628i −0.420502 0.907292i \(-0.638146\pi\)
0.820488 + 0.571663i \(0.193702\pi\)
\(140\) −8.80787 + 3.68382i −0.744401 + 0.311340i
\(141\) 2.13469 3.35889i 0.179773 0.282870i
\(142\) 2.92401 0.515582i 0.245377 0.0432666i
\(143\) 9.63659 1.69919i 0.805852 0.142093i
\(144\) −1.71535 + 2.46122i −0.142945 + 0.205101i
\(145\) −5.83064 13.9408i −0.484208 1.15772i
\(146\) −9.69135 + 8.13201i −0.802062 + 0.673010i
\(147\) 18.5440 5.86921i 1.52948 0.484084i
\(148\) 6.86549 + 2.49883i 0.564340 + 0.205403i
\(149\) 11.3740 13.5550i 0.931792 1.11047i −0.0618727 0.998084i \(-0.519707\pi\)
0.993665 0.112383i \(-0.0358483\pi\)
\(150\) −7.71333 3.93757i −0.629791 0.321502i
\(151\) 9.98470i 0.812544i −0.913752 0.406272i \(-0.866829\pi\)
0.913752 0.406272i \(-0.133171\pi\)
\(152\) 1.52011 4.08525i 0.123297 0.331357i
\(153\) −21.9563 1.87251i −1.77507 0.151383i
\(154\) −11.4681 2.02213i −0.924124 0.162948i
\(155\) 11.8683 10.9505i 0.953286 0.879566i
\(156\) −5.74376 2.37178i −0.459869 0.189894i
\(157\) 2.26812 + 6.23161i 0.181016 + 0.497336i 0.996701 0.0811593i \(-0.0258622\pi\)
−0.815686 + 0.578496i \(0.803640\pi\)
\(158\) 10.7404 9.01228i 0.854461 0.716978i
\(159\) 0.475560 0.248223i 0.0377144 0.0196853i
\(160\) −1.77866 1.35513i −0.140615 0.107133i
\(161\) 2.25944 0.398400i 0.178069 0.0313983i
\(162\) 8.99991 0.0394024i 0.707100 0.00309575i
\(163\) −2.94967 1.70300i −0.231036 0.133389i 0.380014 0.924981i \(-0.375919\pi\)
−0.611050 + 0.791592i \(0.709253\pi\)
\(164\) 3.16450 + 5.48107i 0.247106 + 0.427999i
\(165\) −5.32295 9.12396i −0.414391 0.710299i
\(166\) 4.97242 + 13.6616i 0.385935 + 1.06035i
\(167\) −4.22405 + 11.6055i −0.326867 + 0.898059i 0.662033 + 0.749475i \(0.269694\pi\)
−0.988900 + 0.148584i \(0.952528\pi\)
\(168\) 5.45780 + 4.99017i 0.421078 + 0.385000i
\(169\) −0.0222211 + 0.126022i −0.00170931 + 0.00969400i
\(170\) 2.08793 16.2914i 0.160137 1.24950i
\(171\) −12.6478 + 3.32170i −0.967200 + 0.254016i
\(172\) 0.503514i 0.0383926i
\(173\) 16.0897 + 2.83705i 1.22328 + 0.215697i 0.747737 0.663995i \(-0.231140\pi\)
0.475543 + 0.879692i \(0.342252\pi\)
\(174\) −7.89829 + 8.63844i −0.598768 + 0.654878i
\(175\) −12.1244 + 17.5711i −0.916522 + 1.32825i
\(176\) −0.932825 2.56291i −0.0703143 0.193187i
\(177\) −13.4784 + 10.3658i −1.01310 + 0.779143i
\(178\) −8.22125 + 4.74654i −0.616209 + 0.355768i
\(179\) −5.85709 + 10.1448i −0.437779 + 0.758256i −0.997518 0.0704134i \(-0.977568\pi\)
0.559739 + 0.828669i \(0.310901\pi\)
\(180\) −0.254921 + 6.70336i −0.0190007 + 0.499639i
\(181\) −9.45095 + 1.66646i −0.702484 + 0.123867i −0.513470 0.858108i \(-0.671640\pi\)
−0.189014 + 0.981974i \(0.560529\pi\)
\(182\) −7.65922 + 13.2662i −0.567739 + 0.983353i
\(183\) 1.24348 + 2.38233i 0.0919207 + 0.176107i
\(184\) 0.345403 + 0.411635i 0.0254634 + 0.0303461i
\(185\) 15.9374 3.59070i 1.17174 0.263994i
\(186\) −11.5616 4.77414i −0.847736 0.350057i
\(187\) 12.8774 15.3467i 0.941689 1.12226i
\(188\) 0.399001 2.26285i 0.0291002 0.165035i
\(189\) 2.82357 22.0053i 0.205385 1.60065i
\(190\) −2.07414 9.52355i −0.150474 0.690911i
\(191\) 12.5135i 0.905446i 0.891651 + 0.452723i \(0.149547\pi\)
−0.891651 + 0.452723i \(0.850453\pi\)
\(192\) −0.373033 + 1.69140i −0.0269214 + 0.122067i
\(193\) 9.95556 + 8.35371i 0.716617 + 0.601313i 0.926447 0.376425i \(-0.122847\pi\)
−0.209830 + 0.977738i \(0.567291\pi\)
\(194\) 0.608069 1.67066i 0.0436568 0.119946i
\(195\) −13.6732 + 2.47484i −0.979156 + 0.177227i
\(196\) 8.60253 7.21838i 0.614467 0.515599i
\(197\) 0.542222 + 0.939155i 0.0386317 + 0.0669121i 0.884695 0.466171i \(-0.154367\pi\)
−0.846063 + 0.533083i \(0.821033\pi\)
\(198\) −4.67843 + 6.71271i −0.332481 + 0.477052i
\(199\) −0.142298 0.807010i −0.0100872 0.0572074i 0.979349 0.202179i \(-0.0648022\pi\)
−0.989436 + 0.144971i \(0.953691\pi\)
\(200\) −4.98385 0.401563i −0.352411 0.0283948i
\(201\) −5.22515 + 8.22168i −0.368553 + 0.579913i
\(202\) −8.03784 13.9219i −0.565540 0.979544i
\(203\) 18.5467 + 22.1031i 1.30172 + 1.55134i
\(204\) −12.1295 + 3.83901i −0.849234 + 0.268785i
\(205\) 12.5754 + 6.49155i 0.878303 + 0.453389i
\(206\) −5.89483 + 7.02518i −0.410712 + 0.489468i
\(207\) 0.413820 1.55803i 0.0287625 0.108291i
\(208\) −3.58776 −0.248767
\(209\) 4.14595 11.1421i 0.286781 0.770715i
\(210\) 16.2979 + 2.79772i 1.12466 + 0.193061i
\(211\) −6.01813 1.06116i −0.414305 0.0730532i −0.0373896 0.999301i \(-0.511904\pi\)
−0.376916 + 0.926248i \(0.623015\pi\)
\(212\) 0.199082 0.237256i 0.0136730 0.0162948i
\(213\) −4.75335 1.96281i −0.325694 0.134489i
\(214\) −4.88485 + 1.77794i −0.333921 + 0.121537i
\(215\) −0.608198 0.947485i −0.0414788 0.0646179i
\(216\) 4.79406 2.00423i 0.326195 0.136371i
\(217\) −15.4172 + 26.7034i −1.04659 + 1.81274i
\(218\) −0.250728 1.42195i −0.0169814 0.0963064i
\(219\) 21.7219 2.88393i 1.46783 0.194878i
\(220\) −4.85110 3.69598i −0.327061 0.249183i
\(221\) −13.1767 22.8227i −0.886359 1.53522i
\(222\) −7.71458 10.0311i −0.517768 0.673242i
\(223\) 19.3448 7.04095i 1.29543 0.471497i 0.399922 0.916549i \(-0.369037\pi\)
0.895505 + 0.445052i \(0.146815\pi\)
\(224\) 4.01215 + 1.46030i 0.268073 + 0.0975705i
\(225\) 7.61734 + 12.9219i 0.507822 + 0.861462i
\(226\) 1.44326 8.18512i 0.0960041 0.544466i
\(227\) 8.61703i 0.571932i 0.958240 + 0.285966i \(0.0923145\pi\)
−0.958240 + 0.285966i \(0.907686\pi\)
\(228\) −6.01744 + 4.55965i −0.398515 + 0.301970i
\(229\) 21.4830 1.41964 0.709818 0.704385i \(-0.248777\pi\)
0.709818 + 0.704385i \(0.248777\pi\)
\(230\) 1.14718 + 0.357377i 0.0756425 + 0.0235648i
\(231\) 14.8856 + 13.6102i 0.979400 + 0.895484i
\(232\) −2.31132 + 6.35030i −0.151746 + 0.416918i
\(233\) 21.1531 7.69909i 1.38578 0.504384i 0.461858 0.886954i \(-0.347183\pi\)
0.923927 + 0.382570i \(0.124961\pi\)
\(234\) 6.19285 + 8.80323i 0.404839 + 0.575485i
\(235\) −1.98249 4.74006i −0.129324 0.309207i
\(236\) −4.90848 + 8.50174i −0.319515 + 0.553416i
\(237\) −24.0732 + 3.19610i −1.56372 + 0.207609i
\(238\) 5.44595 + 30.8855i 0.353009 + 2.00201i
\(239\) 0.228203 + 0.131753i 0.0147612 + 0.00852239i 0.507362 0.861733i \(-0.330621\pi\)
−0.492601 + 0.870255i \(0.663954\pi\)
\(240\) 1.34110 + 3.63338i 0.0865679 + 0.234534i
\(241\) 9.70669 + 11.5680i 0.625263 + 0.745160i 0.981966 0.189058i \(-0.0605435\pi\)
−0.356703 + 0.934218i \(0.616099\pi\)
\(242\) 1.21804 + 3.34653i 0.0782985 + 0.215123i
\(243\) −13.1928 8.30360i −0.846319 0.532676i
\(244\) 1.18854 + 0.997306i 0.0760887 + 0.0638460i
\(245\) 7.46863 23.9742i 0.477154 1.53166i
\(246\) 0.466174 10.9522i 0.0297222 0.698288i
\(247\) −11.9077 10.1378i −0.757667 0.645056i
\(248\) −7.22178 −0.458584
\(249\) 5.42330 24.5903i 0.343688 1.55834i
\(250\) −9.86338 + 5.26439i −0.623815 + 0.332949i
\(251\) −1.00645 + 2.76519i −0.0635263 + 0.174537i −0.967395 0.253274i \(-0.918493\pi\)
0.903868 + 0.427811i \(0.140715\pi\)
\(252\) −3.34227 12.3652i −0.210543 0.778933i
\(253\) 0.942050 + 1.12269i 0.0592262 + 0.0705830i
\(254\) −4.40836 + 2.54517i −0.276605 + 0.159698i
\(255\) −18.1874 + 21.8753i −1.13894 + 1.36989i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 3.19223 0.562876i 0.199126 0.0351113i −0.0731956 0.997318i \(-0.523320\pi\)
0.272321 + 0.962206i \(0.412209\pi\)
\(258\) −0.467780 + 0.736044i −0.0291227 + 0.0458241i
\(259\) −27.0151 + 15.5972i −1.67864 + 0.969163i
\(260\) −6.75125 + 4.33368i −0.418695 + 0.268764i
\(261\) 19.5712 5.29004i 1.21143 0.327445i
\(262\) 7.69404 + 2.80040i 0.475340 + 0.173009i
\(263\) −17.1316 14.3751i −1.05638 0.886406i −0.0626278 0.998037i \(-0.519948\pi\)
−0.993750 + 0.111631i \(0.964393\pi\)
\(264\) −1.01741 + 4.61313i −0.0626173 + 0.283918i
\(265\) 0.0880372 0.686927i 0.00540808 0.0421976i
\(266\) 9.18986 + 16.1837i 0.563466 + 0.992288i
\(267\) 16.4276 + 0.699232i 1.00535 + 0.0427923i
\(268\) −0.976649 + 5.53885i −0.0596583 + 0.338339i
\(269\) 3.88845 + 3.26280i 0.237083 + 0.198936i 0.753586 0.657349i \(-0.228322\pi\)
−0.516503 + 0.856285i \(0.672767\pi\)
\(270\) 6.60027 9.56224i 0.401680 0.581939i
\(271\) 14.1878 5.16393i 0.861846 0.313686i 0.126985 0.991905i \(-0.459470\pi\)
0.734860 + 0.678218i \(0.237248\pi\)
\(272\) −5.62686 + 4.72150i −0.341179 + 0.286283i
\(273\) 23.5210 12.2770i 1.42356 0.743039i
\(274\) 17.1571 + 9.90567i 1.03650 + 0.598424i
\(275\) −13.5929 1.09522i −0.819685 0.0660444i
\(276\) −0.122493 0.922623i −0.00737322 0.0555354i
\(277\) −4.63324 2.67500i −0.278384 0.160725i 0.354307 0.935129i \(-0.384717\pi\)
−0.632692 + 0.774404i \(0.718050\pi\)
\(278\) −5.33125 + 3.07800i −0.319747 + 0.184606i
\(279\) 12.4655 + 17.7200i 0.746293 + 1.06087i
\(280\) 9.31374 2.09838i 0.556603 0.125402i
\(281\) 2.16337 + 0.787401i 0.129056 + 0.0469724i 0.405741 0.913988i \(-0.367014\pi\)
−0.276685 + 0.960961i \(0.589236\pi\)
\(282\) −2.68552 + 2.93718i −0.159920 + 0.174907i
\(283\) −5.99559 1.05718i −0.356401 0.0628431i −0.00741870 0.999972i \(-0.502361\pi\)
−0.348982 + 0.937129i \(0.613473\pi\)
\(284\) −2.96912 −0.176185
\(285\) −5.81566 + 15.8486i −0.344490 + 0.938790i
\(286\) −9.78525 −0.578614
\(287\) −26.6120 4.69241i −1.57085 0.276984i
\(288\) 2.11667 2.12596i 0.124726 0.125273i
\(289\) −34.7255 12.6391i −2.04268 0.743474i
\(290\) 3.32126 + 14.7415i 0.195031 + 0.865651i
\(291\) −2.44098 + 1.87728i −0.143093 + 0.110048i
\(292\) 10.9562 6.32558i 0.641165 0.370177i
\(293\) 13.1953 + 7.61833i 0.770879 + 0.445067i 0.833188 0.552990i \(-0.186513\pi\)
−0.0623090 + 0.998057i \(0.519846\pi\)
\(294\) −19.2814 + 2.55992i −1.12451 + 0.149297i
\(295\) 1.03280 + 21.9271i 0.0601320 + 1.27664i
\(296\) −6.32727 3.65305i −0.367765 0.212329i
\(297\) 13.0753 5.46634i 0.758707 0.317189i
\(298\) −13.5550 + 11.3740i −0.785219 + 0.658877i
\(299\) 1.81162 0.659376i 0.104769 0.0381327i
\(300\) 6.91240 + 5.21716i 0.399087 + 0.301213i
\(301\) 1.64686 + 1.38188i 0.0949234 + 0.0796502i
\(302\) −1.73383 + 9.83301i −0.0997705 + 0.565826i
\(303\) −1.18409 + 27.8187i −0.0680239 + 1.59814i
\(304\) −2.20641 + 3.75922i −0.126546 + 0.215606i
\(305\) 3.44119 + 0.441026i 0.197042 + 0.0252531i
\(306\) 21.2976 + 5.65674i 1.21750 + 0.323374i
\(307\) 12.4600 + 10.4552i 0.711132 + 0.596710i 0.924916 0.380170i \(-0.124135\pi\)
−0.213785 + 0.976881i \(0.568579\pi\)
\(308\) 10.9427 + 3.98282i 0.623519 + 0.226942i
\(309\) 15.1438 4.79304i 0.861498 0.272666i
\(310\) −13.5895 + 8.72324i −0.771834 + 0.495447i
\(311\) −0.387192 + 0.223545i −0.0219556 + 0.0126761i −0.510938 0.859618i \(-0.670702\pi\)
0.488982 + 0.872294i \(0.337368\pi\)
\(312\) 5.24464 + 3.33314i 0.296919 + 0.188702i
\(313\) −29.3394 + 5.17332i −1.65836 + 0.292414i −0.922867 0.385119i \(-0.874160\pi\)
−0.735493 + 0.677533i \(0.763049\pi\)
\(314\) −1.15155 6.53079i −0.0649860 0.368554i
\(315\) −21.2253 19.2309i −1.19591 1.08354i
\(316\) −12.1422 + 7.01031i −0.683052 + 0.394361i
\(317\) 0.0294093 + 0.0350486i 0.00165179 + 0.00196853i 0.766870 0.641803i \(-0.221813\pi\)
−0.765218 + 0.643771i \(0.777369\pi\)
\(318\) −0.511439 + 0.161872i −0.0286801 + 0.00907731i
\(319\) −6.30389 + 17.3198i −0.352950 + 0.969722i
\(320\) 1.51632 + 1.64341i 0.0847647 + 0.0918692i
\(321\) 8.79250 + 1.93916i 0.490750 + 0.108233i
\(322\) −2.29429 −0.127856
\(323\) −32.0168 0.229172i −1.78146 0.0127515i
\(324\) −8.87003 1.52401i −0.492779 0.0846675i
\(325\) −7.46944 + 16.3098i −0.414330 + 0.904703i
\(326\) 2.60914 + 2.18933i 0.144507 + 0.121256i
\(327\) −0.954516 + 2.31156i −0.0527848 + 0.127829i
\(328\) −2.16464 5.94731i −0.119522 0.328385i
\(329\) 6.30613 + 7.51535i 0.347668 + 0.414335i
\(330\) 3.65772 + 9.90966i 0.201351 + 0.545509i
\(331\) 21.9936 + 12.6980i 1.20888 + 0.697945i 0.962514 0.271232i \(-0.0874312\pi\)
0.246363 + 0.969178i \(0.420765\pi\)
\(332\) −2.52456 14.3175i −0.138553 0.785775i
\(333\) 1.95810 + 21.8307i 0.107303 + 1.19631i
\(334\) 6.17514 10.6957i 0.337889 0.585241i
\(335\) 4.85261 + 11.6024i 0.265127 + 0.633907i
\(336\) −4.50835 5.86210i −0.245951 0.319804i
\(337\) 7.48349 2.72377i 0.407652 0.148373i −0.130052 0.991507i \(-0.541514\pi\)
0.537703 + 0.843134i \(0.319292\pi\)
\(338\) 0.0437670 0.120249i 0.00238061 0.00654067i
\(339\) −9.71401 + 10.6243i −0.527592 + 0.577033i
\(340\) −4.88519 + 15.6814i −0.264936 + 0.850442i
\(341\) −19.6967 −1.06663
\(342\) 13.0324 1.07497i 0.704714 0.0581276i
\(343\) 18.0598i 0.975135i
\(344\) −0.0874343 + 0.495865i −0.00471414 + 0.0267352i
\(345\) −1.34494 1.58818i −0.0724093 0.0855048i
\(346\) −15.3526 5.58791i −0.825363 0.300408i
\(347\) −13.1930 + 4.80186i −0.708238 + 0.257777i −0.670924 0.741526i \(-0.734102\pi\)
−0.0373138 + 0.999304i \(0.511880\pi\)
\(348\) 9.27835 7.13568i 0.497372 0.382512i
\(349\) 4.42547 + 7.66513i 0.236890 + 0.410305i 0.959820 0.280616i \(-0.0905387\pi\)
−0.722930 + 0.690921i \(0.757205\pi\)
\(350\) 14.9914 15.1988i 0.801326 0.812408i
\(351\) −0.874328 18.6220i −0.0466682 0.993971i
\(352\) 0.473607 + 2.68596i 0.0252434 + 0.143162i
\(353\) −1.95635 + 3.38850i −0.104126 + 0.180351i −0.913381 0.407106i \(-0.866538\pi\)
0.809255 + 0.587458i \(0.199871\pi\)
\(354\) 15.0737 7.86783i 0.801156 0.418171i
\(355\) −5.58712 + 3.58642i −0.296533 + 0.190347i
\(356\) 8.92058 3.24683i 0.472790 0.172081i
\(357\) 20.7326 50.2084i 1.09729 2.65731i
\(358\) 7.52972 8.97358i 0.397958 0.474268i
\(359\) 16.5472 + 2.91771i 0.873326 + 0.153991i 0.592308 0.805711i \(-0.298217\pi\)
0.281018 + 0.959702i \(0.409328\pi\)
\(360\) 1.41507 6.55725i 0.0745810 0.345598i
\(361\) −17.9454 + 6.24213i −0.944492 + 0.328533i
\(362\) 9.59675 0.504394
\(363\) 1.32849 6.02361i 0.0697275 0.316157i
\(364\) 9.84651 11.7346i 0.516097 0.615061i
\(365\) 12.9761 25.1372i 0.679200 1.31574i
\(366\) −0.810901 2.56207i −0.0423865 0.133921i
\(367\) −18.1232 21.5984i −0.946022 1.12743i −0.991713 0.128470i \(-0.958993\pi\)
0.0456910 0.998956i \(-0.485451\pi\)
\(368\) −0.268675 0.465360i −0.0140057 0.0242585i
\(369\) −10.8564 + 15.5770i −0.565162 + 0.810907i
\(370\) −16.3188 + 0.768644i −0.848376 + 0.0399599i
\(371\) 0.229628 + 1.30228i 0.0119217 + 0.0676113i
\(372\) 10.5569 + 6.70926i 0.547350 + 0.347859i
\(373\) −15.0975 26.1497i −0.781720 1.35398i −0.930939 0.365174i \(-0.881009\pi\)
0.149220 0.988804i \(-0.452324\pi\)
\(374\) −15.3467 + 12.8774i −0.793558 + 0.665874i
\(375\) 19.3092 + 1.46783i 0.997123 + 0.0757983i
\(376\) −0.785879 + 2.15918i −0.0405286 + 0.111351i
\(377\) 18.5732 + 15.5847i 0.956567 + 0.802655i
\(378\) −6.60185 + 21.1807i −0.339563 + 1.08942i
\(379\) 12.1395i 0.623565i 0.950154 + 0.311782i \(0.100926\pi\)
−0.950154 + 0.311782i \(0.899074\pi\)
\(380\) 0.388883 + 9.73903i 0.0199493 + 0.499602i
\(381\) 8.80875 + 0.374939i 0.451286 + 0.0192087i
\(382\) 2.17295 12.3234i 0.111178 0.630520i
\(383\) −3.15686 + 3.76220i −0.161308 + 0.192240i −0.840644 0.541588i \(-0.817823\pi\)
0.679336 + 0.733827i \(0.262268\pi\)
\(384\) 0.661075 1.60093i 0.0337354 0.0816972i
\(385\) 25.4023 5.72313i 1.29462 0.291678i
\(386\) −8.35371 9.95556i −0.425193 0.506725i
\(387\) 1.36762 0.641378i 0.0695198 0.0326031i
\(388\) −0.888938 + 1.53969i −0.0451290 + 0.0781657i
\(389\) −7.52897 + 1.32756i −0.381734 + 0.0673100i −0.361223 0.932480i \(-0.617641\pi\)
−0.0205114 + 0.999790i \(0.506529\pi\)
\(390\) 13.8952 0.0629199i 0.703611 0.00318607i
\(391\) 1.97352 3.41823i 0.0998049 0.172867i
\(392\) −9.72530 + 5.61490i −0.491202 + 0.283596i
\(393\) −8.64560 11.2417i −0.436113 0.567067i
\(394\) −0.370901 1.01904i −0.0186857 0.0513387i
\(395\) −14.3807 + 27.8583i −0.723573 + 1.40170i
\(396\) 5.77300 5.79833i 0.290104 0.291377i
\(397\) −4.13373 0.728888i −0.207466 0.0365818i 0.0689492 0.997620i \(-0.478035\pi\)
−0.276415 + 0.961038i \(0.589146\pi\)
\(398\) 0.819459i 0.0410758i
\(399\) 1.60131 32.1953i 0.0801657 1.61178i
\(400\) 4.83840 + 1.26090i 0.241920 + 0.0630449i
\(401\) 4.53072 25.6950i 0.226253 1.28315i −0.634022 0.773315i \(-0.718597\pi\)
0.860275 0.509830i \(-0.170292\pi\)
\(402\) 6.57344 7.18944i 0.327854 0.358577i
\(403\) −8.86175 + 24.3475i −0.441435 + 1.21283i
\(404\) 5.49820 + 15.1062i 0.273546 + 0.751561i
\(405\) −18.5320 + 7.84636i −0.920862 + 0.389889i
\(406\) −14.4268 24.9879i −0.715990 1.24013i
\(407\) −17.2570 9.96332i −0.855396 0.493863i
\(408\) 12.6118 1.67443i 0.624380 0.0828965i
\(409\) −32.2370 + 5.68425i −1.59402 + 0.281068i −0.899008 0.437932i \(-0.855711\pi\)
−0.695009 + 0.719001i \(0.744600\pi\)
\(410\) −11.2571 8.57662i −0.555948 0.423569i
\(411\) −15.8779 30.4198i −0.783197 1.50050i
\(412\) 7.02518 5.89483i 0.346106 0.290417i
\(413\) −14.3357 39.3871i −0.705415 1.93811i
\(414\) −0.678083 + 1.46250i −0.0333260 + 0.0718782i
\(415\) −22.0448 23.8925i −1.08214 1.17283i
\(416\) 3.53326 + 0.623008i 0.173232 + 0.0305455i
\(417\) 10.6529 + 0.453432i 0.521673 + 0.0222047i
\(418\) −6.01776 + 10.2529i −0.294338 + 0.501485i
\(419\) 22.9364i 1.12051i 0.828319 + 0.560257i \(0.189298\pi\)
−0.828319 + 0.560257i \(0.810702\pi\)
\(420\) −15.5644 5.58531i −0.759466 0.272535i
\(421\) 3.48542 4.15377i 0.169869 0.202442i −0.674393 0.738373i \(-0.735595\pi\)
0.844262 + 0.535930i \(0.180039\pi\)
\(422\) 5.74243 + 2.09008i 0.279537 + 0.101743i
\(423\) 6.65447 1.79868i 0.323551 0.0874548i
\(424\) −0.237256 + 0.199082i −0.0115222 + 0.00966825i
\(425\) 9.74897 + 35.4092i 0.472895 + 1.71760i
\(426\) 4.34030 + 2.75840i 0.210288 + 0.133645i
\(427\) −6.52384 + 1.15033i −0.315711 + 0.0556683i
\(428\) 5.11937 0.902683i 0.247454 0.0436328i
\(429\) 14.3042 + 9.09080i 0.690614 + 0.438908i
\(430\) 0.434429 + 1.03870i 0.0209500 + 0.0500907i
\(431\) 26.1160 21.9140i 1.25797 1.05556i 0.262069 0.965049i \(-0.415595\pi\)
0.995896 0.0905089i \(-0.0288494\pi\)
\(432\) −5.06926 + 1.14130i −0.243895 + 0.0549110i
\(433\) 3.74354 + 1.36254i 0.179903 + 0.0654793i 0.430401 0.902638i \(-0.358372\pi\)
−0.250498 + 0.968117i \(0.580594\pi\)
\(434\) 19.8200 23.6205i 0.951389 1.13382i
\(435\) 8.84025 24.6349i 0.423857 1.18115i
\(436\) 1.44388i 0.0691495i
\(437\) 0.423229 2.30370i 0.0202458 0.110201i
\(438\) −21.8926 0.931847i −1.04607 0.0445254i
\(439\) 15.1957 + 2.67940i 0.725249 + 0.127881i 0.524072 0.851674i \(-0.324412\pi\)
0.201177 + 0.979555i \(0.435523\pi\)
\(440\) 4.13560 + 4.48222i 0.197157 + 0.213681i
\(441\) 30.5641 + 14.1709i 1.45543 + 0.674805i
\(442\) 9.01338 + 24.7641i 0.428723 + 1.17791i
\(443\) 23.3015 19.5523i 1.10709 0.928956i 0.109206 0.994019i \(-0.465169\pi\)
0.997881 + 0.0650628i \(0.0207248\pi\)
\(444\) 5.85550 + 11.2183i 0.277890 + 0.532397i
\(445\) 12.8644 16.8849i 0.609831 0.800422i
\(446\) −20.2736 + 3.57478i −0.959983 + 0.169271i
\(447\) 30.3816 4.03365i 1.43700 0.190785i
\(448\) −3.69762 2.13482i −0.174696 0.100861i
\(449\) 12.7888 + 22.1509i 0.603543 + 1.04537i 0.992280 + 0.124018i \(0.0395782\pi\)
−0.388737 + 0.921349i \(0.627088\pi\)
\(450\) −5.25774 14.0484i −0.247852 0.662246i
\(451\) −5.90384 16.2207i −0.278001 0.763801i
\(452\) −2.84266 + 7.81015i −0.133708 + 0.367359i
\(453\) 11.6697 12.7633i 0.548291 0.599670i
\(454\) 1.49633 8.48612i 0.0702263 0.398273i
\(455\) 4.35429 33.9752i 0.204132 1.59278i
\(456\) 6.71780 3.44546i 0.314590 0.161348i
\(457\) 5.02510i 0.235064i −0.993069 0.117532i \(-0.962502\pi\)
0.993069 0.117532i \(-0.0374983\pi\)
\(458\) −21.1566 3.73048i −0.988584 0.174314i
\(459\) −25.8779 28.0552i −1.20788 1.30951i
\(460\) −1.06769 0.551153i −0.0497813 0.0256976i
\(461\) −4.00928 11.0154i −0.186731 0.513038i 0.810637 0.585549i \(-0.199121\pi\)
−0.997368 + 0.0725107i \(0.976899\pi\)
\(462\) −12.2961 15.9883i −0.572064 0.743842i
\(463\) 28.1581 16.2571i 1.30862 0.755532i 0.326754 0.945109i \(-0.394045\pi\)
0.981866 + 0.189577i \(0.0607118\pi\)
\(464\) 3.37893 5.85247i 0.156863 0.271694i
\(465\) 27.9696 0.126651i 1.29706 0.00587330i
\(466\) −22.1686 + 3.90893i −1.02694 + 0.181078i
\(467\) −16.2048 + 28.0676i −0.749871 + 1.29881i 0.198013 + 0.980199i \(0.436551\pi\)
−0.947884 + 0.318615i \(0.896782\pi\)
\(468\) −4.57010 9.74487i −0.211253 0.450457i
\(469\) −15.4357 18.3956i −0.712755 0.849429i
\(470\) 1.12927 + 5.01230i 0.0520894 + 0.231200i
\(471\) −4.38394 + 10.6166i −0.202002 + 0.489188i
\(472\) 6.31022 7.52023i 0.290451 0.346147i
\(473\) −0.238468 + 1.35242i −0.0109648 + 0.0621843i
\(474\) 24.2624 + 1.03272i 1.11441 + 0.0474342i
\(475\) 12.4956 + 17.8566i 0.573338 + 0.819319i
\(476\) 31.3620i 1.43747i
\(477\) 0.898012 + 0.238516i 0.0411171 + 0.0109209i
\(478\) −0.201857 0.169378i −0.00923273 0.00774718i
\(479\) −1.26648 + 3.47963i −0.0578670 + 0.158988i −0.965258 0.261300i \(-0.915849\pi\)
0.907391 + 0.420288i \(0.138071\pi\)
\(480\) −0.689801 3.81106i −0.0314849 0.173950i
\(481\) −20.0800 + 16.8491i −0.915568 + 0.768253i
\(482\) −7.55047 13.0778i −0.343914 0.595677i
\(483\) 3.35383 + 2.13147i 0.152605 + 0.0969852i
\(484\) −0.618415 3.50720i −0.0281098 0.159418i
\(485\) 0.187043 + 3.97105i 0.00849318 + 0.180316i
\(486\) 11.5505 + 10.4684i 0.523940 + 0.474854i
\(487\) −13.6010 23.5575i −0.616318 1.06749i −0.990152 0.139999i \(-0.955290\pi\)
0.373834 0.927496i \(-0.378043\pi\)
\(488\) −0.997306 1.18854i −0.0451459 0.0538028i
\(489\) −1.78013 5.62436i −0.0805001 0.254343i
\(490\) −11.5182 + 22.3131i −0.520341 + 1.00800i
\(491\) −25.0114 + 29.8074i −1.12875 + 1.34519i −0.197715 + 0.980260i \(0.563352\pi\)
−0.931034 + 0.364932i \(0.881092\pi\)
\(492\) −2.36092 + 10.7049i −0.106439 + 0.482613i
\(493\) 49.6388 2.23562
\(494\) 9.96635 + 12.0516i 0.448407 + 0.542226i
\(495\) 3.85947 17.8842i 0.173470 0.803836i
\(496\) 7.11207 + 1.25405i 0.319341 + 0.0563085i
\(497\) 8.14865 9.71118i 0.365517 0.435606i
\(498\) −9.61096 + 23.2749i −0.430678 + 1.04297i
\(499\) −8.06784 + 2.93645i −0.361166 + 0.131454i −0.516228 0.856451i \(-0.672664\pi\)
0.155062 + 0.987905i \(0.450442\pi\)
\(500\) 10.6277 3.47165i 0.475284 0.155257i
\(501\) −18.9635 + 9.89818i −0.847227 + 0.442218i
\(502\) 1.47132 2.54841i 0.0656684 0.113741i
\(503\) −4.50040 25.5230i −0.200663 1.13802i −0.904120 0.427278i \(-0.859472\pi\)
0.703457 0.710738i \(-0.251639\pi\)
\(504\) 1.14430 + 12.7577i 0.0509712 + 0.568273i
\(505\) 28.5931 + 21.7847i 1.27238 + 0.969405i
\(506\) −0.732785 1.26922i −0.0325762 0.0564237i
\(507\) −0.175694 + 0.135120i −0.00780284 + 0.00600091i
\(508\) 4.78335 1.74100i 0.212227 0.0772443i
\(509\) −25.7098 9.35762i −1.13957 0.414769i −0.297811 0.954625i \(-0.596257\pi\)
−0.841758 + 0.539856i \(0.818479\pi\)
\(510\) 21.7097 18.3848i 0.961323 0.814092i
\(511\) −9.37976 + 53.1953i −0.414936 + 2.35322i
\(512\) 1.00000i 0.0441942i
\(513\) −20.0497 10.5361i −0.885215 0.465182i
\(514\) −3.24148 −0.142975
\(515\) 6.09919 19.5783i 0.268763 0.862724i
\(516\) 0.588486 0.643633i 0.0259067 0.0283344i
\(517\) −2.14340 + 5.88895i −0.0942668 + 0.258996i
\(518\) 29.3131 10.6691i 1.28795 0.468774i
\(519\) 17.2514 + 22.4316i 0.757252 + 0.984636i
\(520\) 7.40122 3.09550i 0.324565 0.135747i
\(521\) −4.99671 + 8.65456i −0.218910 + 0.379163i −0.954475 0.298291i \(-0.903583\pi\)
0.735565 + 0.677454i \(0.236917\pi\)
\(522\) −20.1925 + 1.81116i −0.883801 + 0.0792724i
\(523\) 0.645169 + 3.65894i 0.0282113 + 0.159994i 0.995659 0.0930772i \(-0.0296704\pi\)
−0.967448 + 0.253071i \(0.918559\pi\)
\(524\) −7.09087 4.09392i −0.309766 0.178844i
\(525\) −36.0348 + 8.29026i −1.57269 + 0.361817i
\(526\) 14.3751 + 17.1316i 0.626784 + 0.746972i
\(527\) 18.1430 + 49.8474i 0.790320 + 2.17139i
\(528\) 1.80301 4.36637i 0.0784661 0.190022i
\(529\) −17.3978 14.5985i −0.756427 0.634718i
\(530\) −0.205983 + 0.661204i −0.00894735 + 0.0287209i
\(531\) −29.3444 2.50258i −1.27344 0.108603i
\(532\) −6.23997 17.5337i −0.270537 0.760180i
\(533\) −22.7069 −0.983545
\(534\) −16.0566 3.54124i −0.694839 0.153244i
\(535\) 8.54299 7.88234i 0.369346 0.340783i
\(536\) 1.92362 5.28511i 0.0830879 0.228282i
\(537\) −19.3438 + 6.12236i −0.834746 + 0.264199i
\(538\) −3.26280 3.88845i −0.140669 0.167643i
\(539\) −26.5248 + 15.3141i −1.14250 + 0.659624i
\(540\) −8.16047 + 8.27084i −0.351171 + 0.355920i
\(541\) −5.02569 28.5021i −0.216071 1.22540i −0.879038 0.476752i \(-0.841814\pi\)
0.662967 0.748649i \(-0.269297\pi\)
\(542\) −14.8689 + 2.62179i −0.638675 + 0.112616i
\(543\) −14.0287 8.91568i −0.602028 0.382608i
\(544\) 6.36126 3.67267i 0.272737 0.157465i
\(545\) 1.74408 + 2.71702i 0.0747080 + 0.116384i
\(546\) −25.2956 + 8.00611i −1.08255 + 0.342630i
\(547\) 26.5717 + 9.67132i 1.13613 + 0.413516i 0.840513 0.541792i \(-0.182254\pi\)
0.295613 + 0.955308i \(0.404476\pi\)
\(548\) −15.1764 12.7345i −0.648302 0.543990i
\(549\) −1.19485 + 4.49862i −0.0509951 + 0.191997i
\(550\) 13.1962 + 3.43897i 0.562690 + 0.146638i
\(551\) 27.7517 9.87643i 1.18226 0.420750i
\(552\) −0.0395797 + 0.929877i −0.00168462 + 0.0395782i
\(553\) 10.3951 58.9535i 0.442044 2.50696i
\(554\) 4.09834 + 3.43891i 0.174122 + 0.146105i
\(555\) 24.5692 + 14.0371i 1.04291 + 0.595841i
\(556\) 5.78475 2.10548i 0.245328 0.0892920i
\(557\) −26.7687 + 22.4616i −1.13423 + 0.951728i −0.999235 0.0391191i \(-0.987545\pi\)
−0.134991 + 0.990847i \(0.543100\pi\)
\(558\) −9.19913 19.6154i −0.389430 0.830385i
\(559\) 1.56446 + 0.903244i 0.0661698 + 0.0382032i
\(560\) −9.53663 + 0.449191i −0.402996 + 0.0189818i
\(561\) 34.3975 4.56682i 1.45226 0.192811i
\(562\) −1.99377 1.15110i −0.0841021 0.0485564i
\(563\) 8.03841 4.64098i 0.338778 0.195594i −0.320953 0.947095i \(-0.604003\pi\)
0.659732 + 0.751501i \(0.270670\pi\)
\(564\) 3.15476 2.42622i 0.132839 0.102162i
\(565\) 4.08477 + 18.1304i 0.171848 + 0.762751i
\(566\) 5.72092 + 2.08225i 0.240468 + 0.0875233i
\(567\) 29.3282 24.8289i 1.23167 1.04271i
\(568\) 2.92401 + 0.515582i 0.122689 + 0.0216333i
\(569\) −33.6444 −1.41045 −0.705223 0.708985i \(-0.749153\pi\)
−0.705223 + 0.708985i \(0.749153\pi\)
\(570\) 8.47939 14.5979i 0.355162 0.611441i
\(571\) −12.1934 −0.510279 −0.255140 0.966904i \(-0.582121\pi\)
−0.255140 + 0.966904i \(0.582121\pi\)
\(572\) 9.63659 + 1.69919i 0.402926 + 0.0710467i
\(573\) −14.6253 + 15.9958i −0.610979 + 0.668234i
\(574\) 25.3928 + 9.24224i 1.05988 + 0.385764i
\(575\) −2.67486 + 0.252541i −0.111549 + 0.0105317i
\(576\) −2.45368 + 1.72610i −0.102237 + 0.0719210i
\(577\) 5.38776 3.11063i 0.224295 0.129497i −0.383642 0.923482i \(-0.625330\pi\)
0.607938 + 0.793985i \(0.291997\pi\)
\(578\) 32.0032 + 18.4771i 1.33116 + 0.768545i
\(579\) 2.96255 + 22.3140i 0.123119 + 0.927340i
\(580\) −0.710965 15.0943i −0.0295212 0.626756i
\(581\) 53.7573 + 31.0368i 2.23023 + 1.28762i
\(582\) 2.72988 1.42488i 0.113157 0.0590633i
\(583\) −0.647092 + 0.542974i −0.0267998 + 0.0224877i
\(584\) −11.8882 + 4.32695i −0.491937 + 0.179051i
\(585\) −20.3707 12.8171i −0.842223 0.529921i
\(586\) −11.6720 9.79393i −0.482164 0.404584i
\(587\) 1.26790 7.19059i 0.0523316 0.296787i −0.947398 0.320059i \(-0.896297\pi\)
0.999729 + 0.0232718i \(0.00740830\pi\)
\(588\) 19.4330 + 0.827154i 0.801404 + 0.0341113i
\(589\) 20.0612 + 24.2585i 0.826607 + 0.999556i
\(590\) 2.79049 21.7733i 0.114883 0.896393i
\(591\) −0.404534 + 1.83423i −0.0166403 + 0.0754502i
\(592\) 5.59680 + 4.69627i 0.230027 + 0.193016i
\(593\) 8.21123 + 2.98864i 0.337195 + 0.122729i 0.505068 0.863080i \(-0.331468\pi\)
−0.167873 + 0.985809i \(0.553690\pi\)
\(594\) −13.8259 + 3.11279i −0.567283 + 0.127719i
\(595\) −37.8823 59.0152i −1.55302 2.41939i
\(596\) 15.3241 8.84738i 0.627700 0.362403i
\(597\) 0.761303 1.19790i 0.0311581 0.0490267i
\(598\) −1.89860 + 0.334774i −0.0776395 + 0.0136899i
\(599\) 7.07151 + 40.1045i 0.288934 + 1.63863i 0.690885 + 0.722965i \(0.257221\pi\)
−0.401951 + 0.915661i \(0.631668\pi\)
\(600\) −5.90143 6.33822i −0.240925 0.258757i
\(601\) 28.9493 16.7139i 1.18087 0.681774i 0.224653 0.974439i \(-0.427875\pi\)
0.956215 + 0.292665i \(0.0945420\pi\)
\(602\) −1.38188 1.64686i −0.0563212 0.0671210i
\(603\) −16.2884 + 4.40269i −0.663314 + 0.179292i
\(604\) 3.41497 9.38255i 0.138953 0.381771i
\(605\) −5.40007 5.85267i −0.219544 0.237945i
\(606\) 5.99676 27.1904i 0.243602 1.10454i
\(607\) 8.53702 0.346507 0.173254 0.984877i \(-0.444572\pi\)
0.173254 + 0.984877i \(0.444572\pi\)
\(608\) 2.82567 3.31897i 0.114596 0.134602i
\(609\) −2.12527 + 49.9307i −0.0861202 + 2.02329i
\(610\) −3.31232 1.03188i −0.134112 0.0417796i
\(611\) 6.31512 + 5.29901i 0.255482 + 0.214375i
\(612\) −19.9918 9.26909i −0.808120 0.374681i
\(613\) −2.76433 7.59492i −0.111650 0.306756i 0.871266 0.490811i \(-0.163300\pi\)
−0.982916 + 0.184055i \(0.941077\pi\)
\(614\) −10.4552 12.4600i −0.421938 0.502846i
\(615\) 8.48784 + 22.9956i 0.342263 + 0.927273i
\(616\) −10.0849 5.82250i −0.406331 0.234595i
\(617\) 2.93249 + 16.6310i 0.118058 + 0.669538i 0.985191 + 0.171462i \(0.0548490\pi\)
−0.867133 + 0.498076i \(0.834040\pi\)
\(618\) −15.7460 + 2.09053i −0.633396 + 0.0840936i
\(619\) 0.936797 1.62258i 0.0376531 0.0652170i −0.846585 0.532254i \(-0.821345\pi\)
0.884238 + 0.467037i \(0.154678\pi\)
\(620\) 14.8979 6.23091i 0.598313 0.250239i
\(621\) 2.34994 1.50795i 0.0943000 0.0605119i
\(622\) 0.420127 0.152914i 0.0168456 0.00613129i
\(623\) −13.8628 + 38.0877i −0.555400 + 1.52595i
\(624\) −4.58617 4.19323i −0.183594 0.167863i
\(625\) 15.8052 19.3700i 0.632206 0.774800i
\(626\) 29.7920 1.19073
\(627\) 18.3221 9.39713i 0.731714 0.375285i
\(628\) 6.63154i 0.264627i
\(629\) −9.31898 + 52.8505i −0.371572 + 2.10729i
\(630\) 17.5634 + 22.6245i 0.699742 + 0.901382i
\(631\) 3.90451 + 1.42112i 0.155436 + 0.0565741i 0.418566 0.908186i \(-0.362533\pi\)
−0.263130 + 0.964760i \(0.584755\pi\)
\(632\) 13.1751 4.79533i 0.524076 0.190748i
\(633\) −6.45263 8.39020i −0.256469 0.333481i
\(634\) −0.0228764 0.0396230i −0.000908536 0.00157363i
\(635\) 6.89808 9.05396i 0.273742 0.359295i
\(636\) 0.531777 0.0706020i 0.0210863 0.00279955i
\(637\) 6.99626 + 39.6778i 0.277202 + 1.57209i
\(638\) 9.21567 15.9620i 0.364852 0.631942i
\(639\) −3.78207 8.06454i −0.149616 0.319028i
\(640\) −1.20791 1.88174i −0.0477467 0.0743825i
\(641\) −18.9800 + 6.90815i −0.749665 + 0.272856i −0.688465 0.725270i \(-0.741715\pi\)
−0.0612000 + 0.998126i \(0.519493\pi\)
\(642\) −8.32219 3.43650i −0.328451 0.135628i
\(643\) 10.1753 12.1265i 0.401276 0.478222i −0.527133 0.849783i \(-0.676733\pi\)
0.928409 + 0.371561i \(0.121177\pi\)
\(644\) 2.25944 + 0.398400i 0.0890344 + 0.0156992i
\(645\) 0.329932 1.92199i 0.0129911 0.0756782i
\(646\) 31.4906 + 5.78535i 1.23898 + 0.227622i
\(647\) 23.4726 0.922803 0.461402 0.887191i \(-0.347347\pi\)
0.461402 + 0.887191i \(0.347347\pi\)
\(648\) 8.47063 + 3.04113i 0.332758 + 0.119467i
\(649\) 17.2105 20.5106i 0.675570 0.805113i
\(650\) 10.1881 14.7649i 0.399611 0.579128i
\(651\) −50.9173 + 16.1155i −1.99561 + 0.631614i
\(652\) −2.18933 2.60914i −0.0857407 0.102182i
\(653\) −0.962137 1.66647i −0.0376513 0.0652140i 0.846586 0.532252i \(-0.178654\pi\)
−0.884237 + 0.467038i \(0.845321\pi\)
\(654\) 1.34141 2.11069i 0.0524534 0.0825345i
\(655\) −18.2883 + 0.861408i −0.714582 + 0.0336580i
\(656\) 1.09902 + 6.23284i 0.0429094 + 0.243351i
\(657\) 31.1373 + 21.7011i 1.21478 + 0.846641i
\(658\) −4.90529 8.49622i −0.191228 0.331217i
\(659\) 7.82000 6.56176i 0.304624 0.255610i −0.477642 0.878555i \(-0.658508\pi\)
0.782266 + 0.622945i \(0.214064\pi\)
\(660\) −1.88136 10.3943i −0.0732318 0.404596i
\(661\) 4.42211 12.1496i 0.172000 0.472567i −0.823501 0.567315i \(-0.807982\pi\)
0.995501 + 0.0947481i \(0.0302046\pi\)
\(662\) −19.4545 16.3242i −0.756119 0.634460i
\(663\) 9.83068 44.5742i 0.381792 1.73112i
\(664\) 14.5384i 0.564199i
\(665\) −32.9211 25.4566i −1.27662 0.987163i
\(666\) 1.86250 21.8390i 0.0721706 0.846245i
\(667\) −0.630575 + 3.57617i −0.0244160 + 0.138470i
\(668\) −7.93861 + 9.46087i −0.307154 + 0.366052i
\(669\) 32.9573 + 13.6091i 1.27420 + 0.526159i
\(670\) −2.76416 12.2688i −0.106789 0.473985i
\(671\) −2.72005 3.24163i −0.105006 0.125142i
\(672\) 3.42191 + 6.55591i 0.132003 + 0.252900i
\(673\) −22.7356 + 39.3792i −0.876393 + 1.51796i −0.0211213 + 0.999777i \(0.506724\pi\)
−0.855272 + 0.518180i \(0.826610\pi\)
\(674\) −7.84278 + 1.38289i −0.302093 + 0.0532671i
\(675\) −5.36551 + 25.4207i −0.206518 + 0.978443i
\(676\) −0.0639830 + 0.110822i −0.00246089 + 0.00426238i
\(677\) −34.5103 + 19.9245i −1.32634 + 0.765761i −0.984731 0.174082i \(-0.944304\pi\)
−0.341606 + 0.939843i \(0.610971\pi\)
\(678\) 11.4113 8.77607i 0.438249 0.337043i
\(679\) −2.59624 7.13310i −0.0996344 0.273743i
\(680\) 7.53401 14.5948i 0.288916 0.559687i
\(681\) −10.0712 + 11.0150i −0.385930 + 0.422095i
\(682\) 19.3974 + 3.42029i 0.742766 + 0.130970i
\(683\) 11.7341i 0.448994i −0.974475 0.224497i \(-0.927926\pi\)
0.974475 0.224497i \(-0.0720738\pi\)
\(684\) −13.0211 1.20442i −0.497875 0.0460522i
\(685\) −43.9401 5.63141i −1.67887 0.215165i
\(686\) 3.13604 17.7854i 0.119735 0.679049i
\(687\) 27.4613 + 25.1084i 1.04771 + 0.957946i
\(688\) 0.172212 0.473148i 0.00656552 0.0180386i
\(689\) 0.380048 + 1.04417i 0.0144787 + 0.0397799i
\(690\) 1.04873 + 1.79760i 0.0399243 + 0.0684334i
\(691\) 0.324763 + 0.562507i 0.0123546 + 0.0213988i 0.872137 0.489262i \(-0.162734\pi\)
−0.859782 + 0.510661i \(0.829401\pi\)
\(692\) 14.1491 + 8.16897i 0.537867 + 0.310538i
\(693\) 3.12096 + 34.7953i 0.118555 + 1.32176i
\(694\) 13.8264 2.43797i 0.524843 0.0925441i
\(695\) 8.34219 10.9494i 0.316437 0.415334i
\(696\) −10.3765 + 5.41610i −0.393320 + 0.205297i
\(697\) −35.6124 + 29.8823i −1.34891 + 1.13187i
\(698\) −3.02720 8.31715i −0.114581 0.314809i
\(699\) 36.0380 + 14.8812i 1.36308 + 0.562860i
\(700\) −17.4029 + 12.3646i −0.657768 + 0.467339i
\(701\) −12.1936 2.15007i −0.460547 0.0812069i −0.0614393 0.998111i \(-0.519569\pi\)
−0.399108 + 0.916904i \(0.630680\pi\)
\(702\) −2.37264 + 18.4910i −0.0895495 + 0.697896i
\(703\) 5.30547 + 31.4015i 0.200100 + 1.18433i
\(704\) 2.72740i 0.102793i
\(705\) 3.00580 8.37618i 0.113205 0.315465i
\(706\) 2.51503 2.99730i 0.0946545 0.112805i
\(707\) −64.4980 23.4753i −2.42570 0.882881i
\(708\) −16.2109 + 5.13079i −0.609243 + 0.192827i
\(709\) −6.19324 + 5.19675i −0.232592 + 0.195168i −0.751633 0.659581i \(-0.770734\pi\)
0.519041 + 0.854749i \(0.326289\pi\)
\(710\) 6.12501 2.56174i 0.229868 0.0961403i
\(711\) −34.5078 24.0502i −1.29414 0.901953i
\(712\) −9.34886 + 1.64846i −0.350363 + 0.0617785i
\(713\) −3.82168 + 0.673865i −0.143123 + 0.0252364i
\(714\) −29.1362 + 45.8454i −1.09040 + 1.71572i
\(715\) 20.1861 8.44266i 0.754916 0.315738i
\(716\) −8.97358 + 7.52972i −0.335358 + 0.281399i
\(717\) 0.137720 + 0.435131i 0.00514325 + 0.0162503i
\(718\) −15.7891 5.74677i −0.589245 0.214468i
\(719\) 21.7724 25.9473i 0.811972 0.967671i −0.187923 0.982184i \(-0.560175\pi\)
0.999895 + 0.0145132i \(0.00461987\pi\)
\(720\) −2.53223 + 6.21191i −0.0943707 + 0.231504i
\(721\) 39.1557i 1.45823i
\(722\) 18.7567 3.03112i 0.698051 0.112807i
\(723\) −1.11229 + 26.1319i −0.0413665 + 0.971857i
\(724\) −9.45095 1.66646i −0.351242 0.0619334i
\(725\) −19.5703 27.5448i −0.726824 1.02299i
\(726\) −2.35429 + 5.70141i −0.0873760 + 0.211599i
\(727\) −10.2253 28.0937i −0.379234 1.04194i −0.971675 0.236323i \(-0.924058\pi\)
0.592441 0.805614i \(-0.298164\pi\)
\(728\) −11.7346 + 9.84651i −0.434914 + 0.364936i
\(729\) −7.15923 26.0335i −0.265157 0.964205i
\(730\) −17.1440 + 22.5021i −0.634528 + 0.832839i
\(731\) 3.64230 0.642235i 0.134715 0.0237539i
\(732\) 0.353683 + 2.66396i 0.0130725 + 0.0984627i
\(733\) −42.3594 24.4562i −1.56458 0.903311i −0.996783 0.0801433i \(-0.974462\pi\)
−0.567798 0.823168i \(-0.692204\pi\)
\(734\) 14.0973 + 24.4173i 0.520342 + 0.901259i
\(735\) 37.5671 21.9168i 1.38568 0.808412i
\(736\) 0.183785 + 0.504945i 0.00677440 + 0.0186125i
\(737\) 5.24648 14.4146i 0.193257 0.530968i
\(738\) 13.3964 13.4552i 0.493128 0.495292i
\(739\) 2.67304 15.1596i 0.0983295 0.557654i −0.895347 0.445370i \(-0.853072\pi\)
0.993676 0.112284i \(-0.0358168\pi\)
\(740\) 16.2044 + 2.07677i 0.595685 + 0.0763436i
\(741\) −3.37267 26.8762i −0.123898 0.987322i
\(742\) 1.32237i 0.0485459i
\(743\) 23.5611 + 4.15445i 0.864372 + 0.152412i 0.588219 0.808702i \(-0.299829\pi\)
0.276153 + 0.961114i \(0.410940\pi\)
\(744\) −9.23147 8.44052i −0.338442 0.309444i
\(745\) 18.1493 35.1586i 0.664937 1.28811i
\(746\) 10.3273 + 28.3740i 0.378110 + 1.03885i
\(747\) 35.6726 25.0948i 1.30519 0.918169i
\(748\) 17.3497 10.0168i 0.634367 0.366252i
\(749\) −11.0975 + 19.2215i −0.405495 + 0.702338i
\(750\) −18.7610 4.79854i −0.685054 0.175218i
\(751\) 19.1056 3.36883i 0.697173 0.122930i 0.186181 0.982516i \(-0.440389\pi\)
0.510993 + 0.859585i \(0.329278\pi\)
\(752\) 1.14888 1.98992i 0.0418953 0.0725648i
\(753\) −4.51835 + 2.35840i −0.164658 + 0.0859447i
\(754\) −15.5847 18.5732i −0.567563 0.676395i
\(755\) −4.90715 21.7805i −0.178589 0.792675i
\(756\) 10.1795 19.7125i 0.370226 0.716936i
\(757\) −22.0963 + 26.3333i −0.803104 + 0.957101i −0.999727 0.0233776i \(-0.992558\pi\)
0.196623 + 0.980479i \(0.437002\pi\)
\(758\) 2.10800 11.9551i 0.0765662 0.434228i
\(759\) −0.107949 + 2.53614i −0.00391832 + 0.0920562i
\(760\) 1.30819 9.65860i 0.0474531 0.350354i
\(761\) 29.7711i 1.07920i −0.841921 0.539601i \(-0.818575\pi\)
0.841921 0.539601i \(-0.181425\pi\)
\(762\) −8.60982 1.89887i −0.311901 0.0687887i
\(763\) −4.72256 3.96269i −0.170968 0.143459i
\(764\) −4.27987 + 11.7589i −0.154840 + 0.425420i
\(765\) −48.8156 + 6.70614i −1.76493 + 0.242461i
\(766\) 3.76220 3.15686i 0.135934 0.114062i
\(767\) −17.6105 30.5022i −0.635877 1.10137i
\(768\) −0.929031 + 1.46181i −0.0335235 + 0.0527487i
\(769\) 2.50433 + 14.2028i 0.0903084 + 0.512164i 0.996084 + 0.0884075i \(0.0281778\pi\)
−0.905776 + 0.423757i \(0.860711\pi\)
\(770\) −26.0102 + 1.22512i −0.937341 + 0.0441503i
\(771\) 4.73844 + 3.01143i 0.170651 + 0.108454i
\(772\) 6.49803 + 11.2549i 0.233869 + 0.405073i
\(773\) 2.01490 + 2.40127i 0.0724710 + 0.0863676i 0.801062 0.598582i \(-0.204269\pi\)
−0.728591 + 0.684949i \(0.759824\pi\)
\(774\)