Properties

Label 570.2.bf.a.29.4
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 29.4
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.37297 + 1.05591i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.98695 + 1.02568i) q^{5} +(1.16876 - 1.27828i) q^{6} +(3.69762 + 2.13482i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.770112 - 2.89947i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.37297 + 1.05591i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.98695 + 1.02568i) q^{5} +(1.16876 - 1.27828i) q^{6} +(3.69762 + 2.13482i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.770112 - 2.89947i) q^{9} +(-2.13487 - 0.665072i) q^{10} +(2.36199 - 1.36370i) q^{11} +(-0.929031 + 1.46181i) q^{12} +(2.74838 + 2.30617i) q^{13} +(-4.01215 - 1.46030i) q^{14} +(-3.81106 + 0.689801i) 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} +(-7.33090 + 0.973296i) q^{21} +(-2.08931 + 1.75314i) q^{22} +(-0.504945 + 0.183785i) q^{23} +(0.661075 - 1.60093i) q^{24} +(2.89594 + 4.07597i) q^{25} +(-3.10709 - 1.79388i) q^{26} +(2.00423 + 4.79406i) q^{27} +(4.20477 + 0.741415i) q^{28} +(1.17349 - 6.65518i) q^{29} +(3.63338 - 1.34110i) q^{30} +(6.25425 + 3.61089i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(-1.80301 + 4.36637i) q^{33} +(2.51226 + 6.90237i) q^{34} +(5.15732 + 8.03437i) q^{35} +(-0.268009 - 2.98800i) q^{36} -7.30610 q^{37} +(0.0311996 + 4.35879i) q^{38} +(-6.20856 - 0.264264i) q^{39} +(-2.23359 + 0.105206i) q^{40} +(-4.84829 + 4.06820i) q^{41} +(7.05052 - 2.23151i) q^{42} +(0.172212 - 0.473148i) q^{43} +(1.75314 - 2.08931i) q^{44} +(4.50412 - 4.97121i) q^{45} +(0.465360 - 0.268675i) q^{46} +(-0.399001 + 2.26285i) q^{47} +(-0.373033 + 1.69140i) q^{48} +(5.61490 + 9.72530i) q^{49} +(-3.55973 - 3.51117i) q^{50} +(9.38942 + 8.58494i) q^{51} +(3.37139 + 1.22709i) q^{52} +(0.105929 + 0.291038i) q^{53} +(-2.80627 - 4.37320i) q^{54} +(6.09189 - 0.286938i) q^{55} -4.26964 q^{56} +(3.54127 + 6.66779i) q^{57} +6.75785i q^{58} +(1.70470 + 9.66782i) q^{59} +(-3.34530 + 1.95166i) q^{60} +(1.45796 - 0.530655i) q^{61} +(-6.78625 - 2.46999i) q^{62} +(9.03742 - 9.07708i) q^{63} +(0.500000 - 0.866025i) q^{64} +(3.09550 + 7.40122i) q^{65} +(1.01741 - 4.61313i) q^{66} +(-0.976649 + 5.53885i) q^{67} +(-3.67267 - 6.36126i) q^{68} +(0.499216 - 0.785507i) q^{69} +(-6.47413 - 7.01675i) q^{70} +(2.79006 + 1.01550i) q^{71} +(0.782799 + 2.89607i) 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} +(6.16013 - 0.817857i) q^{78} +(-9.01228 - 10.7404i) q^{79} +(2.18139 - 0.491467i) q^{80} +(-7.81386 - 4.46583i) q^{81} +(4.06820 - 4.84829i) q^{82} +(-7.26919 + 12.5906i) q^{83} +(-6.55591 + 3.42191i) q^{84} +(4.88519 - 15.6814i) q^{85} +(-0.0874343 + 0.495865i) q^{86} +(5.41610 + 10.3765i) q^{87} +(-1.36370 + 2.36199i) q^{88} +(-7.27212 - 6.10204i) q^{89} +(-3.57245 + 5.67782i) q^{90} +(5.23922 + 14.3946i) q^{91} +(-0.411635 + 0.345403i) q^{92} +(-12.3997 + 1.64626i) q^{93} -2.29776i q^{94} +(5.85124 - 7.79506i) q^{95} +(0.0736570 - 1.73048i) q^{96} +(0.308725 + 1.75087i) q^{97} +(-7.21838 - 8.60253i) q^{98} +(-2.13500 - 7.89873i) 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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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
\(3\) −1.37297 + 1.05591i −0.792687 + 0.609629i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 1.98695 + 1.02568i 0.888591 + 0.458700i
\(6\) 1.16876 1.27828i 0.477144 0.521856i
\(7\) 3.69762 + 2.13482i 1.39757 + 0.806886i 0.994137 0.108125i \(-0.0344846\pi\)
0.403430 + 0.915011i \(0.367818\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 0.770112 2.89947i 0.256704 0.966490i
\(10\) −2.13487 0.665072i −0.675106 0.210314i
\(11\) 2.36199 1.36370i 0.712168 0.411171i −0.0996951 0.995018i \(-0.531787\pi\)
0.811863 + 0.583848i \(0.198453\pi\)
\(12\) −0.929031 + 1.46181i −0.268188 + 0.421990i
\(13\) 2.74838 + 2.30617i 0.762265 + 0.639616i 0.938715 0.344693i \(-0.112017\pi\)
−0.176451 + 0.984310i \(0.556462\pi\)
\(14\) −4.01215 1.46030i −1.07229 0.390282i
\(15\) −3.81106 + 0.689801i −0.984011 + 0.178106i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.27551 7.23376i −0.309356 1.75444i −0.602258 0.798301i \(-0.705732\pi\)
0.292903 0.956142i \(-0.405379\pi\)
\(18\) −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
\(21\) −7.33090 + 0.973296i −1.59973 + 0.212391i
\(22\) −2.08931 + 1.75314i −0.445442 + 0.373770i
\(23\) −0.504945 + 0.183785i −0.105288 + 0.0383218i −0.394127 0.919056i \(-0.628953\pi\)
0.288839 + 0.957378i \(0.406731\pi\)
\(24\) 0.661075 1.60093i 0.134941 0.326789i
\(25\) 2.89594 + 4.07597i 0.579188 + 0.815194i
\(26\) −3.10709 1.79388i −0.609351 0.351809i
\(27\) 2.00423 + 4.79406i 0.385715 + 0.922618i
\(28\) 4.20477 + 0.741415i 0.794627 + 0.140114i
\(29\) 1.17349 6.65518i 0.217911 1.23584i −0.657871 0.753131i \(-0.728543\pi\)
0.875782 0.482706i \(-0.160346\pi\)
\(30\) 3.63338 1.34110i 0.663361 0.244851i
\(31\) 6.25425 + 3.61089i 1.12330 + 0.648535i 0.942240 0.334938i \(-0.108715\pi\)
0.181055 + 0.983473i \(0.442049\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −1.80301 + 4.36637i −0.313865 + 0.760088i
\(34\) 2.51226 + 6.90237i 0.430849 + 1.18375i
\(35\) 5.15732 + 8.03437i 0.871747 + 1.35806i
\(36\) −0.268009 2.98800i −0.0446681 0.498001i
\(37\) −7.30610 −1.20112 −0.600558 0.799581i \(-0.705055\pi\)
−0.600558 + 0.799581i \(0.705055\pi\)
\(38\) 0.0311996 + 4.35879i 0.00506125 + 0.707089i
\(39\) −6.20856 0.264264i −0.994166 0.0423161i
\(40\) −2.23359 + 0.105206i −0.353162 + 0.0166345i
\(41\) −4.84829 + 4.06820i −0.757175 + 0.635346i −0.937390 0.348282i \(-0.886765\pi\)
0.180215 + 0.983627i \(0.442321\pi\)
\(42\) 7.05052 2.23151i 1.08792 0.344329i
\(43\) 0.172212 0.473148i 0.0262621 0.0721545i −0.925869 0.377845i \(-0.876665\pi\)
0.952131 + 0.305691i \(0.0988874\pi\)
\(44\) 1.75314 2.08931i 0.264295 0.314975i
\(45\) 4.50412 4.97121i 0.671434 0.741064i
\(46\) 0.465360 0.268675i 0.0686135 0.0396140i
\(47\) −0.399001 + 2.26285i −0.0582003 + 0.330070i −0.999981 0.00615731i \(-0.998040\pi\)
0.941781 + 0.336228i \(0.109151\pi\)
\(48\) −0.373033 + 1.69140i −0.0538427 + 0.244133i
\(49\) 5.61490 + 9.72530i 0.802129 + 1.38933i
\(50\) −3.55973 3.51117i −0.503422 0.496555i
\(51\) 9.38942 + 8.58494i 1.31478 + 1.20213i
\(52\) 3.37139 + 1.22709i 0.467528 + 0.170166i
\(53\) 0.105929 + 0.291038i 0.0145505 + 0.0399771i 0.946755 0.321954i \(-0.104340\pi\)
−0.932205 + 0.361931i \(0.882117\pi\)
\(54\) −2.80627 4.37320i −0.381884 0.595117i
\(55\) 6.09189 0.286938i 0.821430 0.0386907i
\(56\) −4.26964 −0.570554
\(57\) 3.54127 + 6.66779i 0.469053 + 0.883170i
\(58\) 6.75785i 0.887349i
\(59\) 1.70470 + 9.66782i 0.221933 + 1.25864i 0.868463 + 0.495754i \(0.165108\pi\)
−0.646530 + 0.762888i \(0.723781\pi\)
\(60\) −3.34530 + 1.95166i −0.431876 + 0.251958i
\(61\) 1.45796 0.530655i 0.186673 0.0679435i −0.246992 0.969017i \(-0.579442\pi\)
0.433665 + 0.901074i \(0.357220\pi\)
\(62\) −6.78625 2.46999i −0.861855 0.313690i
\(63\) 9.03742 9.07708i 1.13861 1.14360i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 3.09550 + 7.40122i 0.383950 + 0.918008i
\(66\) 1.01741 4.61313i 0.125235 0.567837i
\(67\) −0.976649 + 5.53885i −0.119317 + 0.676679i 0.865205 + 0.501418i \(0.167188\pi\)
−0.984522 + 0.175261i \(0.943923\pi\)
\(68\) −3.67267 6.36126i −0.445377 0.771416i
\(69\) 0.499216 0.785507i 0.0600985 0.0945640i
\(70\) −6.47413 7.01675i −0.773806 0.838662i
\(71\) 2.79006 + 1.01550i 0.331119 + 0.120517i 0.502229 0.864734i \(-0.332513\pi\)
−0.171111 + 0.985252i \(0.554736\pi\)
\(72\) 0.782799 + 2.89607i 0.0922537 + 0.341305i
\(73\) −8.13201 9.69135i −0.951780 1.13429i −0.990839 0.135050i \(-0.956880\pi\)
0.0390588 0.999237i \(-0.487564\pi\)
\(74\) 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
\(78\) 6.16013 0.817857i 0.697497 0.0926040i
\(79\) −9.01228 10.7404i −1.01396 1.20839i −0.977907 0.209041i \(-0.932966\pi\)
−0.0360534 0.999350i \(-0.511479\pi\)
\(80\) 2.18139 0.491467i 0.243887 0.0549476i
\(81\) −7.81386 4.46583i −0.868206 0.496204i
\(82\) 4.06820 4.84829i 0.449257 0.535404i
\(83\) −7.26919 + 12.5906i −0.797897 + 1.38200i 0.123086 + 0.992396i \(0.460721\pi\)
−0.920983 + 0.389602i \(0.872612\pi\)
\(84\) −6.55591 + 3.42191i −0.715308 + 0.373362i
\(85\) 4.88519 15.6814i 0.529873 1.70088i
\(86\) −0.0874343 + 0.495865i −0.00942828 + 0.0534704i
\(87\) 5.41610 + 10.3765i 0.580667 + 1.11248i
\(88\) −1.36370 + 2.36199i −0.145371 + 0.251789i
\(89\) −7.27212 6.10204i −0.770844 0.646815i 0.170081 0.985430i \(-0.445597\pi\)
−0.940925 + 0.338615i \(0.890041\pi\)
\(90\) −3.57245 + 5.67782i −0.376569 + 0.598495i
\(91\) 5.23922 + 14.3946i 0.549219 + 1.50897i
\(92\) −0.411635 + 0.345403i −0.0429159 + 0.0360107i
\(93\) −12.3997 + 1.64626i −1.28579 + 0.170709i
\(94\) 2.29776i 0.236995i
\(95\) 5.85124 7.79506i 0.600325 0.799756i
\(96\) 0.0736570 1.73048i 0.00751759 0.176617i
\(97\) 0.308725 + 1.75087i 0.0313463 + 0.177773i 0.996461 0.0840527i \(-0.0267864\pi\)
−0.965115 + 0.261826i \(0.915675\pi\)
\(98\) −7.21838 8.60253i −0.729167 0.868987i
\(99\) −2.13500 7.89873i −0.214576 0.793853i
\(100\) 4.11536 + 2.83969i 0.411536 + 0.283969i
\(101\) −10.3332 + 12.3147i −1.02820 + 1.22536i −0.0542615 + 0.998527i \(0.517280\pi\)
−0.973934 + 0.226830i \(0.927164\pi\)
\(102\) −10.7375 6.82405i −1.06317 0.675682i
\(103\) −4.58536 7.94208i −0.451809 0.782556i 0.546689 0.837335i \(-0.315888\pi\)
−0.998498 + 0.0547792i \(0.982554\pi\)
\(104\) −3.53326 0.623008i −0.346464 0.0610910i
\(105\) −15.5644 5.58531i −1.51893 0.545070i
\(106\) −0.154858 0.268222i −0.0150411 0.0260520i
\(107\) 4.50190 + 2.59917i 0.435215 + 0.251272i 0.701566 0.712605i \(-0.252485\pi\)
−0.266351 + 0.963876i \(0.585818\pi\)
\(108\) 3.52303 + 3.81946i 0.339004 + 0.367528i
\(109\) 0.493837 1.35681i 0.0473010 0.129958i −0.913793 0.406181i \(-0.866860\pi\)
0.961094 + 0.276222i \(0.0890826\pi\)
\(110\) −5.94951 + 1.34042i −0.567264 + 0.127804i
\(111\) 10.0311 7.71458i 0.952108 0.732235i
\(112\) 4.20477 0.741415i 0.397314 0.0700571i
\(113\) 8.31139i 0.781870i −0.920418 0.390935i \(-0.872152\pi\)
0.920418 0.390935i \(-0.127848\pi\)
\(114\) −4.64532 5.95156i −0.435074 0.557414i
\(115\) −1.19181 0.152743i −0.111136 0.0142433i
\(116\) −1.17349 6.65518i −0.108956 0.617918i
\(117\) 8.80323 6.19285i 0.813859 0.572529i
\(118\) −3.35760 9.22492i −0.309092 0.849223i
\(119\) 10.7264 29.4706i 0.983290 2.70157i
\(120\) 2.95557 2.50291i 0.269806 0.228484i
\(121\) −1.78065 + 3.08418i −0.161878 + 0.280380i
\(122\) −1.34367 + 0.775766i −0.121650 + 0.0702346i
\(123\) 2.36092 10.7049i 0.212877 0.965226i
\(124\) 7.11207 + 1.25405i 0.638682 + 0.112617i
\(125\) 1.57343 + 11.0691i 0.140732 + 0.990048i
\(126\) −7.32391 + 10.5085i −0.652465 + 0.936172i
\(127\) −3.89943 3.27201i −0.346018 0.290344i 0.453171 0.891424i \(-0.350293\pi\)
−0.799189 + 0.601080i \(0.794737\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 0.263159 + 0.831460i 0.0231699 + 0.0732060i
\(130\) −4.33368 6.75125i −0.380089 0.592124i
\(131\) 8.06344 1.42180i 0.704506 0.124223i 0.190093 0.981766i \(-0.439121\pi\)
0.514413 + 0.857543i \(0.328010\pi\)
\(132\) −0.200892 + 4.71972i −0.0174854 + 0.410799i
\(133\) 11.8605 14.3421i 1.02844 1.24361i
\(134\) 5.62430i 0.485865i
\(135\) −0.934886 + 11.5813i −0.0804622 + 0.996758i
\(136\) 4.72150 + 5.62686i 0.404865 + 0.482500i
\(137\) −18.6166 + 6.77588i −1.59052 + 0.578902i −0.977458 0.211131i \(-0.932285\pi\)
−0.613064 + 0.790034i \(0.710063\pi\)
\(138\) −0.355229 + 0.860262i −0.0302391 + 0.0732303i
\(139\) 4.71577 + 3.95700i 0.399986 + 0.335628i 0.820488 0.571663i \(-0.193702\pi\)
−0.420502 + 0.907292i \(0.638146\pi\)
\(140\) 7.59422 + 5.78593i 0.641828 + 0.489000i
\(141\) −1.84154 3.52814i −0.155086 0.297123i
\(142\) −2.92401 0.515582i −0.245377 0.0432666i
\(143\) 9.63659 + 1.69919i 0.805852 + 0.142093i
\(144\) −1.27380 2.71614i −0.106150 0.226345i
\(145\) 9.15778 12.0199i 0.760513 0.998197i
\(146\) 9.69135 + 8.13201i 0.802062 + 0.673010i
\(147\) −17.9781 7.42375i −1.48281 0.612301i
\(148\) −6.86549 + 2.49883i −0.564340 + 0.205403i
\(149\) −11.3740 13.5550i −0.931792 1.11047i −0.993665 0.112383i \(-0.964152\pi\)
0.0618727 0.998084i \(-0.480293\pi\)
\(150\) 8.59489 + 1.06199i 0.701770 + 0.0867114i
\(151\) 9.98470i 0.812544i 0.913752 + 0.406272i \(0.133171\pi\)
−0.913752 + 0.406272i \(0.866829\pi\)
\(152\) 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
\(155\) 8.72324 + 13.5895i 0.700667 + 1.09154i
\(156\) −5.92453 + 1.87513i −0.474342 + 0.150130i
\(157\) −2.26812 + 6.23161i −0.181016 + 0.497336i −0.996701 0.0811593i \(-0.974138\pi\)
0.815686 + 0.578496i \(0.196360\pi\)
\(158\) 10.7404 + 9.01228i 0.854461 + 0.716978i
\(159\) −0.452747 0.287736i −0.0359052 0.0228189i
\(160\) −2.06291 + 0.862794i −0.163087 + 0.0682099i
\(161\) −2.25944 0.398400i −0.178069 0.0313983i
\(162\) 8.47063 + 3.04113i 0.665515 + 0.238933i
\(163\) 2.94967 1.70300i 0.231036 0.133389i −0.380014 0.924981i \(-0.624081\pi\)
0.611050 + 0.791592i \(0.290747\pi\)
\(164\) −3.16450 + 5.48107i −0.247106 + 0.427999i
\(165\) −8.06102 + 6.82644i −0.627550 + 0.531438i
\(166\) 4.97242 13.6616i 0.385935 1.06035i
\(167\) −4.22405 11.6055i −0.326867 0.898059i −0.988900 0.148584i \(-0.952528\pi\)
0.662033 0.749475i \(-0.269694\pi\)
\(168\) 5.86210 4.50835i 0.452271 0.347827i
\(169\) −0.0222211 0.126022i −0.00170931 0.00969400i
\(170\) −2.08793 + 16.2914i −0.160137 + 1.24950i
\(171\) −11.9026 5.41544i −0.910218 0.414129i
\(172\) 0.503514i 0.0383926i
\(173\) 16.0897 2.83705i 1.22328 0.215697i 0.475543 0.879692i \(-0.342252\pi\)
0.747737 + 0.663995i \(0.231140\pi\)
\(174\) −7.13568 9.27835i −0.540954 0.703390i
\(175\) 2.00662 + 21.2537i 0.151686 + 1.60663i
\(176\) 0.932825 2.56291i 0.0703143 0.193187i
\(177\) −12.5488 11.4737i −0.943229 0.862413i
\(178\) 8.22125 + 4.74654i 0.616209 + 0.355768i
\(179\) 5.85709 + 10.1448i 0.437779 + 0.758256i 0.997518 0.0704134i \(-0.0224318\pi\)
−0.559739 + 0.828669i \(0.689099\pi\)
\(180\) 2.53223 6.21191i 0.188741 0.463008i
\(181\) −9.45095 1.66646i −0.702484 0.123867i −0.189014 0.981974i \(-0.560529\pi\)
−0.513470 + 0.858108i \(0.671640\pi\)
\(182\) −7.65922 13.2662i −0.567739 0.983353i
\(183\) −1.44142 + 2.26805i −0.106553 + 0.167659i
\(184\) 0.345403 0.411635i 0.0254634 0.0303461i
\(185\) −14.5169 7.49376i −1.06730 0.550952i
\(186\) 11.9254 3.77443i 0.874415 0.276755i
\(187\) −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
\(190\) −4.40875 + 8.69269i −0.319844 + 0.630634i
\(191\) 12.5135i 0.905446i 0.891651 + 0.452723i \(0.149547\pi\)
−0.891651 + 0.452723i \(0.850453\pi\)
\(192\) 0.227957 + 1.71698i 0.0164514 + 0.123913i
\(193\) −9.95556 + 8.35371i −0.716617 + 0.601313i −0.926447 0.376425i \(-0.877153\pi\)
0.209830 + 0.977738i \(0.432709\pi\)
\(194\) −0.608069 1.67066i −0.0436568 0.119946i
\(195\) −12.0651 6.89311i −0.863997 0.493626i
\(196\) 8.60253 + 7.21838i 0.614467 + 0.515599i
\(197\) 0.542222 0.939155i 0.0386317 0.0669121i −0.846063 0.533083i \(-0.821033\pi\)
0.884695 + 0.466171i \(0.154367\pi\)
\(198\) 3.47417 + 7.40799i 0.246898 + 0.526463i
\(199\) −0.142298 + 0.807010i −0.0100872 + 0.0572074i −0.989436 0.144971i \(-0.953691\pi\)
0.979349 + 0.202179i \(0.0648022\pi\)
\(200\) −4.54594 2.08192i −0.321447 0.147214i
\(201\) −4.50761 8.63595i −0.317942 0.609133i
\(202\) 8.03784 13.9219i 0.565540 0.979544i
\(203\) 18.5467 22.1031i 1.30172 1.55134i
\(204\) 11.7594 + 4.85583i 0.823322 + 0.339976i
\(205\) −13.8060 + 3.11049i −0.964252 + 0.217246i
\(206\) 5.89483 + 7.02518i 0.410712 + 0.489468i
\(207\) 0.144015 + 1.60561i 0.0100097 + 0.111597i
\(208\) 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 −0.376916 0.926248i \(-0.623015\pi\)
−0.0373896 + 0.999301i \(0.511904\pi\)
\(212\) 0.199082 + 0.237256i 0.0136730 + 0.0162948i
\(213\) −4.90295 + 1.55179i −0.335944 + 0.106327i
\(214\) −4.88485 1.77794i −0.333921 0.121537i
\(215\) 0.827478 0.763487i 0.0564335 0.0520694i
\(216\) −4.13275 3.14966i −0.281198 0.214307i
\(217\) 15.4172 + 26.7034i 1.04659 + 1.81274i
\(218\) −0.250728 + 1.42195i −0.0169814 + 0.0963064i
\(219\) 21.3982 + 4.71931i 1.44596 + 0.318901i
\(220\) 5.62637 2.35318i 0.379329 0.158652i
\(221\) 13.1767 22.8227i 0.886359 1.53522i
\(222\) −8.53906 + 9.33925i −0.573104 + 0.626810i
\(223\) −19.3448 7.04095i −1.29543 0.471497i −0.399922 0.916549i \(-0.630963\pi\)
−0.895505 + 0.445052i \(0.853185\pi\)
\(224\) −4.01215 + 1.46030i −0.268073 + 0.0975705i
\(225\) 14.0484 5.25774i 0.936557 0.350516i
\(226\) 1.44326 + 8.18512i 0.0960041 + 0.544466i
\(227\) 8.61703i 0.571932i −0.958240 0.285966i \(-0.907686\pi\)
0.958240 0.285966i \(-0.0923145\pi\)
\(228\) 5.60822 + 5.05449i 0.371414 + 0.334742i
\(229\) 21.4830 1.41964 0.709818 0.704385i \(-0.248777\pi\)
0.709818 + 0.704385i \(0.248777\pi\)
\(230\) 1.20022 0.0565325i 0.0791403 0.00372764i
\(231\) −15.9883 + 12.2961i −1.05195 + 0.809021i
\(232\) 2.31132 + 6.35030i 0.151746 + 0.416918i
\(233\) 21.1531 + 7.69909i 1.38578 + 0.504384i 0.923927 0.382570i \(-0.124961\pi\)
0.461858 + 0.886954i \(0.347183\pi\)
\(234\) −7.59411 + 7.62743i −0.496443 + 0.498621i
\(235\) −3.11377 + 4.08692i −0.203120 + 0.266601i
\(236\) 4.90848 + 8.50174i 0.319515 + 0.553416i
\(237\) 23.7145 + 5.23016i 1.54042 + 0.339735i
\(238\) −5.44595 + 30.8855i −0.353009 + 2.00201i
\(239\) −0.228203 + 0.131753i −0.0147612 + 0.00852239i −0.507362 0.861733i \(-0.669379\pi\)
0.492601 + 0.870255i \(0.336046\pi\)
\(240\) −2.47605 + 2.97812i −0.159828 + 0.192237i
\(241\) 9.70669 11.5680i 0.625263 0.745160i −0.356703 0.934218i \(-0.616099\pi\)
0.981966 + 0.189058i \(0.0605435\pi\)
\(242\) 1.21804 3.34653i 0.0782985 0.215123i
\(243\) 15.4437 2.11925i 0.990716 0.135950i
\(244\) 1.18854 0.997306i 0.0760887 0.0638460i
\(245\) 1.18144 + 25.0828i 0.0754795 + 1.60248i
\(246\) −0.466174 + 10.9522i −0.0297222 + 0.698288i
\(247\) 11.9077 10.1378i 0.757667 0.645056i
\(248\) −7.22178 −0.458584
\(249\) −3.31413 24.9622i −0.210025 1.58191i
\(250\) −3.47165 10.6277i −0.219566 0.672154i
\(251\) 1.00645 + 2.76519i 0.0635263 + 0.174537i 0.967395 0.253274i \(-0.0815073\pi\)
−0.903868 + 0.427811i \(0.859285\pi\)
\(252\) 5.38786 11.6206i 0.339403 0.732032i
\(253\) −0.942050 + 1.12269i −0.0592262 + 0.0705830i
\(254\) 4.40836 + 2.54517i 0.276605 + 0.159698i
\(255\) 9.85088 + 26.6884i 0.616886 + 1.67129i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.19223 + 0.562876i 0.199126 + 0.0351113i 0.272321 0.962206i \(-0.412209\pi\)
−0.0731956 + 0.997318i \(0.523320\pi\)
\(258\) −0.403543 0.773131i −0.0251235 0.0481331i
\(259\) −27.0151 15.5972i −1.67864 0.969163i
\(260\) 5.44019 + 5.89615i 0.337386 + 0.365664i
\(261\) −18.3928 8.52773i −1.13849 0.527853i
\(262\) −7.69404 + 2.80040i −0.475340 + 0.173009i
\(263\) −17.1316 + 14.3751i −1.05638 + 0.886406i −0.993750 0.111631i \(-0.964393\pi\)
−0.0626278 + 0.998037i \(0.519948\pi\)
\(264\) −0.621730 4.68290i −0.0382648 0.288212i
\(265\) −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 \(-0.771678\pi\)
0.516503 + 0.856285i \(0.327233\pi\)
\(270\) −1.09038 11.5677i −0.0663587 0.703986i
\(271\) 14.1878 + 5.16393i 0.861846 + 0.313686i 0.734860 0.678218i \(-0.237248\pi\)
0.126985 + 0.991905i \(0.459470\pi\)
\(272\) −5.62686 4.72150i −0.341179 0.286283i
\(273\) −22.3927 14.2313i −1.35527 0.861318i
\(274\) 17.1571 9.90567i 1.03650 0.598424i
\(275\) 12.3986 + 5.67823i 0.747663 + 0.342410i
\(276\) 0.200450 0.908877i 0.0120657 0.0547080i
\(277\) 4.63324 2.67500i 0.278384 0.160725i −0.354307 0.935129i \(-0.615283\pi\)
0.632692 + 0.774404i \(0.281950\pi\)
\(278\) −5.33125 3.07800i −0.319747 0.184606i
\(279\) 15.2861 15.3532i 0.915157 0.919173i
\(280\) −8.48356 4.37930i −0.506990 0.261713i
\(281\) −2.16337 + 0.787401i −0.129056 + 0.0469724i −0.405741 0.913988i \(-0.632986\pi\)
0.276685 + 0.960961i \(0.410764\pi\)
\(282\) 2.42622 + 3.15476i 0.144479 + 0.187863i
\(283\) 5.99559 1.05718i 0.356401 0.0628431i 0.00741870 0.999972i \(-0.497639\pi\)
0.348982 + 0.937129i \(0.386527\pi\)
\(284\) 2.96912 0.176185
\(285\) 0.197276 + 16.8808i 0.0116856 + 0.999932i
\(286\) −9.78525 −0.578614
\(287\) −26.6120 + 4.69241i −1.57085 + 0.276984i
\(288\) 1.72610 + 2.45368i 0.101712 + 0.144585i
\(289\) −34.7255 + 12.6391i −2.04268 + 0.743474i
\(290\) −6.93143 + 13.4275i −0.407027 + 0.788491i
\(291\) −2.27263 2.07791i −0.133224 0.121809i
\(292\) −10.9562 6.32558i −0.641165 0.370177i
\(293\) 13.1953 7.61833i 0.770879 0.445067i −0.0623090 0.998057i \(-0.519846\pi\)
0.833188 + 0.552990i \(0.186513\pi\)
\(294\) 18.9941 + 4.18909i 1.10776 + 0.244313i
\(295\) −6.52899 + 20.9580i −0.380132 + 1.22022i
\(296\) 6.32727 3.65305i 0.367765 0.212329i
\(297\) 11.2716 + 8.59038i 0.654047 + 0.498465i
\(298\) 13.5550 + 11.3740i 0.785219 + 0.658877i
\(299\) −1.81162 0.659376i −0.104769 0.0381327i
\(300\) −8.64873 + 0.446628i −0.499335 + 0.0257861i
\(301\) 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
\(306\) 21.9479 1.96862i 1.25468 0.112538i
\(307\) −12.4600 + 10.4552i −0.711132 + 0.596710i −0.924916 0.380170i \(-0.875865\pi\)
0.213785 + 0.976881i \(0.431421\pi\)
\(308\) 10.9427 3.98282i 0.623519 0.226942i
\(309\) 14.6817 + 6.06254i 0.835212 + 0.344886i
\(310\) −10.9505 11.8683i −0.621947 0.674075i
\(311\) 0.387192 + 0.223545i 0.0219556 + 0.0126761i 0.510938 0.859618i \(-0.329298\pi\)
−0.488982 + 0.872294i \(0.662632\pi\)
\(312\) 5.50891 2.87542i 0.311880 0.162789i
\(313\) 29.3394 + 5.17332i 1.65836 + 0.292414i 0.922867 0.385119i \(-0.125840\pi\)
0.735493 + 0.677533i \(0.236951\pi\)
\(314\) 1.15155 6.53079i 0.0649860 0.368554i
\(315\) 27.2671 8.76615i 1.53633 0.493916i
\(316\) −12.1422 7.01031i −0.683052 0.394361i
\(317\) 0.0294093 0.0350486i 0.00165179 0.00196853i −0.765218 0.643771i \(-0.777369\pi\)
0.766870 + 0.641803i \(0.221813\pi\)
\(318\) 0.495834 + 0.204746i 0.0278050 + 0.0114816i
\(319\) −6.30389 17.3198i −0.352950 0.969722i
\(320\) 1.88174 1.20791i 0.105193 0.0675240i
\(321\) −8.92548 + 1.18500i −0.498172 + 0.0661403i
\(322\) 2.29429 0.127856
\(323\) −32.0168 + 0.229172i −1.78146 + 0.0127515i
\(324\) −8.87003 1.52401i −0.492779 0.0846675i
\(325\) −1.44071 + 17.8809i −0.0799164 + 0.991852i
\(326\) −2.60914 + 2.18933i −0.144507 + 0.121256i
\(327\) 0.754639 + 2.38431i 0.0417316 + 0.131852i
\(328\) 2.16464 5.94731i 0.119522 0.328385i
\(329\) −6.30613 + 7.51535i −0.347668 + 0.414335i
\(330\) 6.75316 8.12251i 0.371749 0.447130i
\(331\) 21.9936 12.6980i 1.20888 0.697945i 0.246363 0.969178i \(-0.420765\pi\)
0.962514 + 0.271232i \(0.0874312\pi\)
\(332\) −2.52456 + 14.3175i −0.138553 + 0.785775i
\(333\) −5.62651 + 21.1838i −0.308331 + 1.16087i
\(334\) 6.17514 + 10.6957i 0.337889 + 0.585241i
\(335\) −7.62167 + 10.0037i −0.416416 + 0.546560i
\(336\) −4.99017 + 5.45780i −0.272236 + 0.297747i
\(337\) −7.48349 2.72377i −0.407652 0.148373i 0.130052 0.991507i \(-0.458486\pi\)
−0.537703 + 0.843134i \(0.680708\pi\)
\(338\) 0.0437670 + 0.120249i 0.00238061 + 0.00654067i
\(339\) 8.77607 + 11.4113i 0.476651 + 0.619778i
\(340\) −0.772774 16.4065i −0.0419095 0.889768i
\(341\) 19.6967 1.06663
\(342\) 12.6622 + 3.26629i 0.684693 + 0.176621i
\(343\) 18.0598i 0.975135i
\(344\) 0.0874343 + 0.495865i 0.00471414 + 0.0267352i
\(345\) 1.79760 1.04873i 0.0967795 0.0564615i
\(346\) −15.3526 + 5.58791i −0.825363 + 0.300408i
\(347\) −13.1930 4.80186i −0.708238 0.257777i −0.0373138 0.999304i \(-0.511880\pi\)
−0.670924 + 0.741526i \(0.734102\pi\)
\(348\) 8.63844 + 7.89829i 0.463069 + 0.423393i
\(349\) 4.42547 7.66513i 0.236890 0.410305i −0.722930 0.690921i \(-0.757205\pi\)
0.959820 + 0.280616i \(0.0905387\pi\)
\(350\) −5.66680 20.5823i −0.302903 1.10017i
\(351\) −5.54751 + 17.7980i −0.296104 + 0.949989i
\(352\) −0.473607 + 2.68596i −0.0252434 + 0.143162i
\(353\) −1.95635 3.38850i −0.104126 0.180351i 0.809255 0.587458i \(-0.199871\pi\)
−0.913381 + 0.407106i \(0.866538\pi\)
\(354\) 14.3506 + 9.12026i 0.762724 + 0.484736i
\(355\) 4.50212 + 4.87946i 0.238948 + 0.258975i
\(356\) −8.92058 3.24683i −0.472790 0.172081i
\(357\) 16.3912 + 51.7885i 0.867514 + 2.74094i
\(358\) −7.52972 8.97358i −0.397958 0.474268i
\(359\) −16.5472 + 2.91771i −0.873326 + 0.153991i −0.592308 0.805711i \(-0.701783\pi\)
−0.281018 + 0.959702i \(0.590672\pi\)
\(360\) −1.41507 + 6.55725i −0.0745810 + 0.345598i
\(361\) −17.9454 6.24213i −0.944492 0.328533i
\(362\) 9.59675 0.504394
\(363\) −0.811827 6.11471i −0.0426098 0.320939i
\(364\) 9.84651 + 11.7346i 0.516097 + 0.615061i
\(365\) −6.21762 27.5971i −0.325445 1.44450i
\(366\) 1.02568 2.48390i 0.0536131 0.129835i
\(367\) 18.1232 21.5984i 0.946022 1.12743i −0.0456910 0.998956i \(-0.514549\pi\)
0.991713 0.128470i \(-0.0410066\pi\)
\(368\) −0.268675 + 0.465360i −0.0140057 + 0.0242585i
\(369\) 8.06189 + 17.1904i 0.419685 + 0.894898i
\(370\) 15.5976 + 4.85908i 0.810880 + 0.252612i
\(371\) −0.229628 + 1.30228i −0.0119217 + 0.0676113i
\(372\) −11.0888 + 5.78792i −0.574930 + 0.300090i
\(373\) 15.0975 26.1497i 0.781720 1.35398i −0.149220 0.988804i \(-0.547676\pi\)
0.930939 0.365174i \(-0.118991\pi\)
\(374\) 15.3467 + 12.8774i 0.793558 + 0.665874i
\(375\) −13.8482 13.5361i −0.715118 0.699003i
\(376\) −0.785879 2.15918i −0.0405286 0.111351i
\(377\) 18.5732 15.5847i 0.956567 0.802655i
\(378\) −1.04050 22.1613i −0.0535175 1.13985i
\(379\) 12.1395i 0.623565i −0.950154 0.311782i \(-0.899074\pi\)
0.950154 0.311782i \(-0.100926\pi\)
\(380\) 2.83230 9.32620i 0.145294 0.478424i
\(381\) 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 0.679336 0.733827i \(-0.262268\pi\)
−0.840644 + 0.541588i \(0.817823\pi\)
\(384\) −0.522645 1.65132i −0.0266711 0.0842683i
\(385\) 23.1380 + 11.9441i 1.17922 + 0.608728i
\(386\) 8.35371 9.95556i 0.425193 0.506725i
\(387\) −1.23926 0.863701i −0.0629950 0.0439044i
\(388\) 0.888938 + 1.53969i 0.0451290 + 0.0781657i
\(389\) 7.52897 + 1.32756i 0.381734 + 0.0673100i 0.361223 0.932480i \(-0.382359\pi\)
0.0205114 + 0.999790i \(0.493471\pi\)
\(390\) 13.0787 + 4.69331i 0.662268 + 0.237655i
\(391\) 1.97352 + 3.41823i 0.0998049 + 0.172867i
\(392\) −9.72530 5.61490i −0.491202 0.283596i
\(393\) −9.56959 + 10.4664i −0.482722 + 0.527958i
\(394\) −0.370901 + 1.01904i −0.0186857 + 0.0513387i
\(395\) −6.89066 30.5844i −0.346707 1.53887i
\(396\) −4.70777 6.69217i −0.236574 0.336294i
\(397\) 4.13373 0.728888i 0.207466 0.0365818i −0.0689492 0.997620i \(-0.521965\pi\)
0.276415 + 0.961038i \(0.410854\pi\)
\(398\) 0.819459i 0.0410758i
\(399\) −1.14027 + 32.2149i −0.0570849 + 1.61276i
\(400\) 4.83840 + 1.26090i 0.241920 + 0.0630449i
\(401\) −4.53072 25.6950i −0.226253 1.28315i −0.860275 0.509830i \(-0.829708\pi\)
0.634022 0.773315i \(-0.281403\pi\)
\(402\) 5.93875 + 7.72201i 0.296198 + 0.385139i
\(403\) 8.86175 + 24.3475i 0.441435 + 1.21283i
\(404\) −5.49820 + 15.1062i −0.273546 + 0.751561i
\(405\) −10.9452 16.8879i −0.543871 0.839169i
\(406\) −14.4268 + 24.9879i −0.715990 + 1.24013i
\(407\) −17.2570 + 9.96332i −0.855396 + 0.493863i
\(408\) −12.4239 2.74006i −0.615077 0.135653i
\(409\) −32.2370 5.68425i −1.59402 0.281068i −0.695009 0.719001i \(-0.744600\pi\)
−0.899008 + 0.437932i \(0.855711\pi\)
\(410\) 13.0561 5.46062i 0.644796 0.269681i
\(411\) 18.4053 28.9605i 0.907869 1.42852i
\(412\) −7.02518 5.89483i −0.346106 0.290417i
\(413\) −14.3357 + 39.3871i −0.705415 + 1.93811i
\(414\) −0.420638 1.55621i −0.0206732 0.0764834i
\(415\) −27.3575 + 17.5610i −1.34293 + 0.862036i
\(416\) −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 \(0.810702\pi\)
\(420\) −16.5361 + 0.0748782i −0.806877 + 0.00365368i
\(421\) 3.48542 + 4.15377i 0.169869 + 0.202442i 0.844262 0.535930i \(-0.180039\pi\)
−0.674393 + 0.738373i \(0.735595\pi\)
\(422\) 5.74243 2.09008i 0.279537 0.101743i
\(423\) 6.25379 + 2.89954i 0.304069 + 0.140980i
\(424\) −0.237256 0.199082i −0.0115222 0.00966825i
\(425\) 25.7908 26.1475i 1.25104 1.26834i
\(426\) 4.55899 2.37961i 0.220884 0.115292i
\(427\) 6.52384 + 1.15033i 0.315711 + 0.0556683i
\(428\) 5.11937 + 0.902683i 0.247454 + 0.0436328i
\(429\) −15.0250 + 7.84242i −0.725412 + 0.378636i
\(430\) −0.682328 + 0.895578i −0.0329048 + 0.0431886i
\(431\) −26.1160 21.9140i −1.25797 1.05556i −0.995896 0.0905089i \(-0.971151\pi\)
−0.262069 0.965049i \(-0.584405\pi\)
\(432\) 4.61690 + 2.38417i 0.222131 + 0.114708i
\(433\) −3.74354 + 1.36254i −0.179903 + 0.0654793i −0.430401 0.902638i \(-0.641628\pi\)
0.250498 + 0.968117i \(0.419406\pi\)
\(434\) −19.8200 23.6205i −0.951389 1.13382i
\(435\) 0.118515 + 26.1728i 0.00568235 + 1.25489i
\(436\) 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 0.201177 0.979555i \(-0.435523\pi\)
0.524072 + 0.851674i \(0.324412\pi\)
\(440\) −5.13226 + 3.29444i −0.244671 + 0.157056i
\(441\) 32.5223 8.79068i 1.54868 0.418604i
\(442\) −9.01338 + 24.7641i −0.428723 + 1.17791i
\(443\) 23.3015 + 19.5523i 1.10709 + 0.928956i 0.997881 0.0650628i \(-0.0207248\pi\)
0.109206 + 0.994019i \(0.465169\pi\)
\(444\) 6.78759 10.6802i 0.322125 0.506858i
\(445\) −8.19058 19.5834i −0.388271 0.928340i
\(446\) 20.2736 + 3.57478i 0.959983 + 0.169271i
\(447\) 29.9290 + 6.60074i 1.41559 + 0.312204i
\(448\) 3.69762 2.13482i 0.174696 0.100861i
\(449\) −12.7888 + 22.1509i −0.603543 + 1.04537i 0.388737 + 0.921349i \(0.372912\pi\)
−0.992280 + 0.124018i \(0.960422\pi\)
\(450\) −12.9219 + 7.61734i −0.609145 + 0.359085i
\(451\) −5.90384 + 16.2207i −0.278001 + 0.763801i
\(452\) −2.84266 7.81015i −0.133708 0.367359i
\(453\) −10.5429 13.7087i −0.495350 0.644092i
\(454\) 1.49633 + 8.48612i 0.0702263 + 0.398273i
\(455\) −4.35429 + 33.9752i −0.204132 + 1.59278i
\(456\) −6.40072 4.00384i −0.299741 0.187497i
\(457\) 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
\(459\) 32.1227 20.6130i 1.49936 0.962132i
\(460\) −1.17217 + 0.264090i −0.0546528 + 0.0123133i
\(461\) 4.00928 11.0154i 0.186731 0.513038i −0.810637 0.585549i \(-0.800879\pi\)
0.997368 + 0.0725107i \(0.0231011\pi\)
\(462\) 13.6102 14.8856i 0.633203 0.692540i
\(463\) −28.1581 16.2571i −1.30862 0.755532i −0.326754 0.945109i \(-0.605955\pi\)
−0.981866 + 0.189577i \(0.939288\pi\)
\(464\) −3.37893 5.85247i −0.156863 0.271694i
\(465\) −26.3261 9.44714i −1.22084 0.438100i
\(466\) −22.1686 3.90893i −1.02694 0.181078i
\(467\) −16.2048 28.0676i −0.749871 1.29881i −0.947884 0.318615i \(-0.896782\pi\)
0.198013 0.980199i \(-0.436551\pi\)
\(468\) 6.15425 8.83026i 0.284480 0.408179i
\(469\) −15.4357 + 18.3956i −0.712755 + 0.849429i
\(470\) 2.35677 4.56553i 0.108710 0.210592i
\(471\) −3.46594 10.9508i −0.159702 0.504584i
\(472\) −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
\(475\) 19.6214 9.48687i 0.900292 0.435287i
\(476\) 31.3620i 1.43747i
\(477\) 0.925433 0.0830066i 0.0423726 0.00380061i
\(478\) 0.201857 0.169378i 0.00923273 0.00774718i
\(479\) 1.26648 + 3.47963i 0.0578670 + 0.158988i 0.965258 0.261300i \(-0.0841512\pi\)
−0.907391 + 0.420288i \(0.861929\pi\)
\(480\) 1.92128 3.36284i 0.0876942 0.153492i
\(481\) −20.0800 16.8491i −0.915568 0.768253i
\(482\) −7.55047 + 13.0778i −0.343914 + 0.595677i
\(483\) 3.52282 1.83877i 0.160294 0.0836669i
\(484\) −0.618415 + 3.50720i −0.0281098 + 0.159418i
\(485\) −1.18242 + 3.79554i −0.0536907 + 0.172346i
\(486\) −14.8411 + 4.76883i −0.673206 + 0.216319i
\(487\) 13.6010 23.5575i 0.616318 1.06749i −0.373834 0.927496i \(-0.621957\pi\)
0.990152 0.139999i \(-0.0447098\pi\)
\(488\) −0.997306 + 1.18854i −0.0451459 + 0.0538028i
\(489\) −2.25162 + 5.45276i −0.101822 + 0.246582i
\(490\) −5.51908 24.4966i −0.249326 1.10664i
\(491\) 25.0114 + 29.8074i 1.12875 + 1.34519i 0.931034 + 0.364932i \(0.118908\pi\)
0.197715 + 0.980260i \(0.436648\pi\)
\(492\) −1.44274 10.8668i −0.0650437 0.489912i
\(493\) −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
\(498\) 7.59842 + 24.0074i 0.340493 + 1.07580i
\(499\) −8.06784 2.93645i −0.361166 0.131454i 0.155062 0.987905i \(-0.450442\pi\)
−0.516228 + 0.856451i \(0.672664\pi\)
\(500\) 5.26439 + 9.86338i 0.235430 + 0.441104i
\(501\) 18.0538 + 11.4738i 0.806586 + 0.512612i
\(502\) −1.47132 2.54841i −0.0656684 0.113741i
\(503\) −4.50040 + 25.5230i −0.200663 + 1.13802i 0.703457 + 0.710738i \(0.251639\pi\)
−0.904120 + 0.427278i \(0.859472\pi\)
\(504\) −3.28810 + 12.3797i −0.146464 + 0.551435i
\(505\) −33.1626 + 13.8700i −1.47572 + 0.617207i
\(506\) 0.732785 1.26922i 0.0325762 0.0564237i
\(507\) 0.163577 + 0.149561i 0.00726469 + 0.00664225i
\(508\) −4.78335 1.74100i −0.212227 0.0772443i
\(509\) 25.7098 9.35762i 1.13957 0.414769i 0.297811 0.954625i \(-0.403743\pi\)
0.841758 + 0.539856i \(0.181521\pi\)
\(510\) −14.3356 24.5724i −0.634792 1.08808i
\(511\) −9.37976 53.1953i −0.414936 2.35322i
\(512\) 1.00000i 0.0441942i
\(513\) 22.0602 5.13286i 0.973983 0.226621i
\(514\) −3.24148 −0.142975
\(515\) −0.964814 20.4836i −0.0425148 0.902617i
\(516\) 0.531665 + 0.691311i 0.0234052 + 0.0304333i
\(517\) 2.14340 + 5.88895i 0.0942668 + 0.258996i
\(518\) 29.3131 + 10.6691i 1.28795 + 0.468774i
\(519\) −19.0951 + 20.8845i −0.838182 + 0.916728i
\(520\) −6.38139 4.86189i −0.279843 0.213208i
\(521\) 4.99671 + 8.65456i 0.218910 + 0.379163i 0.954475 0.298291i \(-0.0964166\pi\)
−0.735565 + 0.677454i \(0.763083\pi\)
\(522\) 19.5942 + 5.20430i 0.857614 + 0.227786i
\(523\) −0.645169 + 3.65894i −0.0282113 + 0.159994i −0.995659 0.0930772i \(-0.970330\pi\)
0.967448 + 0.253071i \(0.0814408\pi\)
\(524\) 7.09087 4.09392i 0.309766 0.178844i
\(525\) −25.1970 27.0619i −1.09969 1.18108i
\(526\) 14.3751 17.1316i 0.626784 0.746972i
\(527\) 18.1430 49.8474i 0.790320 2.17139i
\(528\) 1.42546 + 4.50379i 0.0620352 + 0.196002i
\(529\) −17.3978 + 14.5985i −0.756427 + 0.634718i
\(530\) −0.0325839 0.691779i −0.00141536 0.0300490i
\(531\) 29.3444 + 2.50258i 1.27344 + 0.108603i
\(532\) 6.23997 17.5337i 0.270537 0.760180i
\(533\) −22.7069 −0.983545
\(534\) −16.2995 + 2.16402i −0.705347 + 0.0936462i
\(535\) 6.27912 + 9.78196i 0.271470 + 0.422911i
\(536\) −1.92362 5.28511i −0.0830879 0.228282i
\(537\) −18.7536 7.74395i −0.809277 0.334176i
\(538\) 3.26280 3.88845i 0.140669 0.167643i
\(539\) 26.5248 + 15.3141i 1.14250 + 0.659624i
\(540\) 3.08252 + 11.2026i 0.132651 + 0.482083i
\(541\) −5.02569 + 28.5021i −0.216071 + 1.22540i 0.662967 + 0.748649i \(0.269297\pi\)
−0.879038 + 0.476752i \(0.841814\pi\)
\(542\) −14.8689 2.62179i −0.638675 0.112616i
\(543\) 14.7355 7.69135i 0.632362 0.330067i
\(544\) 6.36126 + 3.67267i 0.272737 + 0.157465i
\(545\) 2.37289 2.18939i 0.101643 0.0937830i
\(546\) 24.5238 + 10.1266i 1.04952 + 0.433380i
\(547\) −26.5717 + 9.67132i −1.13613 + 0.413516i −0.840513 0.541792i \(-0.817746\pi\)
−0.295613 + 0.955308i \(0.595524\pi\)
\(548\) −15.1764 + 12.7345i −0.648302 + 0.543990i
\(549\) −0.415824 4.63599i −0.0177469 0.197859i
\(550\) −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
\(555\) 27.8440 5.03975i 1.18191 0.213926i
\(556\) 5.78475 + 2.10548i 0.245328 + 0.0892920i
\(557\) −26.7687 22.4616i −1.13423 0.951728i −0.134991 0.990847i \(-0.543100\pi\)
−0.999235 + 0.0391191i \(0.987545\pi\)
\(558\) −12.3879 + 17.7744i −0.524420 + 0.752449i
\(559\) 1.56446 0.903244i 0.0661698 0.0382032i
\(560\) 9.11513 + 2.83962i 0.385185 + 0.119996i
\(561\) 33.8850 + 7.47323i 1.43063 + 0.315520i
\(562\) 1.99377 1.15110i 0.0841021 0.0485564i
\(563\) 8.03841 + 4.64098i 0.338778 + 0.195594i 0.659732 0.751501i \(-0.270670\pi\)
−0.320953 + 0.947095i \(0.604003\pi\)
\(564\) −2.93718 2.68552i −0.123678 0.113081i
\(565\) 8.52487 16.5143i 0.358644 0.694763i
\(566\) −5.72092 + 2.08225i −0.240468 + 0.0875233i
\(567\) −19.3589 33.1941i −0.812997 1.39402i
\(568\) −2.92401 + 0.515582i −0.122689 + 0.0216333i
\(569\) 33.6444 1.41045 0.705223 0.708985i \(-0.250847\pi\)
0.705223 + 0.708985i \(0.250847\pi\)
\(570\) −3.12560 16.5901i −0.130917 0.694882i
\(571\) −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
\(573\) −13.2131 17.1807i −0.551986 0.717735i
\(574\) 25.3928 9.24224i 1.05988 0.385764i
\(575\) −2.21139 1.52591i −0.0922214 0.0636348i
\(576\) −2.12596 2.11667i −0.0885816 0.0881947i
\(577\) −5.38776 3.11063i −0.224295 0.129497i 0.383642 0.923482i \(-0.374670\pi\)
−0.607938 + 0.793985i \(0.708003\pi\)
\(578\) 32.0032 18.4771i 1.33116 0.768545i
\(579\) 4.84796 21.9816i 0.201475 0.913523i
\(580\) 4.49446 14.4271i 0.186622 0.599055i
\(581\) −53.7573 + 31.0368i −2.23023 + 1.28762i
\(582\) 2.59892 + 1.65170i 0.107729 + 0.0684652i
\(583\) 0.647092 + 0.542974i 0.0267998 + 0.0224877i
\(584\) 11.8882 + 4.32695i 0.491937 + 0.179051i
\(585\) 23.8435 3.27555i 0.985807 0.135427i
\(586\) −11.6720 + 9.79393i −0.482164 + 0.404584i
\(587\) 1.26790 + 7.19059i 0.0523316 + 0.296787i 0.999729 0.0232718i \(-0.00740830\pi\)
−0.947398 + 0.320059i \(0.896297\pi\)
\(588\) −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
\(591\) 0.247207 + 1.86197i 0.0101687 + 0.0765913i
\(592\) −5.59680 + 4.69627i −0.230027 + 0.193016i
\(593\) 8.21123 2.98864i 0.337195 0.122729i −0.167873 0.985809i \(-0.553690\pi\)
0.505068 + 0.863080i \(0.331468\pi\)
\(594\) −12.5921 6.50258i −0.516660 0.266804i
\(595\) 51.5404 47.5547i 2.11295 1.94955i
\(596\) −15.3241 8.84738i −0.627700 0.362403i
\(597\) −0.656758 1.25826i −0.0268793 0.0514970i
\(598\) 1.89860 + 0.334774i 0.0776395 + 0.0136899i
\(599\) −7.07151 + 40.1045i −0.288934 + 1.63863i 0.401951 + 0.915661i \(0.368332\pi\)
−0.690885 + 0.722965i \(0.742779\pi\)
\(600\) 8.43978 1.94168i 0.344553 0.0792687i
\(601\) 28.9493 + 16.7139i 1.18087 + 0.681774i 0.956215 0.292665i \(-0.0945420\pi\)
0.224653 + 0.974439i \(0.427875\pi\)
\(602\) −1.38188 + 1.64686i −0.0563212 + 0.0671210i
\(603\) 15.3076 + 7.09730i 0.623374 + 0.289024i
\(604\) 3.41497 + 9.38255i 0.138953 + 0.381771i
\(605\) −6.70147 + 4.30173i −0.272454 + 0.174890i
\(606\) 3.66457 + 27.6017i 0.148863 + 1.12124i
\(607\) −8.53702 −0.346507 −0.173254 0.984877i \(-0.555428\pi\)
−0.173254 + 0.984877i \(0.555428\pi\)
\(608\) 2.82567 + 3.31897i 0.114596 + 0.134602i
\(609\) −2.12527 + 49.9307i −0.0861202 + 2.02329i
\(610\) −3.46549 + 0.163230i −0.140314 + 0.00660900i
\(611\) −6.31512 + 5.29901i −0.255482 + 0.214375i
\(612\) −21.2726 + 5.74993i −0.859896 + 0.232427i
\(613\) 2.76433 7.59492i 0.111650 0.306756i −0.871266 0.490811i \(-0.836700\pi\)
0.982916 + 0.184055i \(0.0589226\pi\)
\(614\) 10.4552 12.4600i 0.421938 0.502846i
\(615\) 15.6709 18.8485i 0.631910 0.760044i
\(616\) −10.0849 + 5.82250i −0.406331 + 0.234595i
\(617\) 2.93249 16.6310i 0.118058 0.669538i −0.867133 0.498076i \(-0.834040\pi\)
0.985191 0.171462i \(-0.0548490\pi\)
\(618\) −15.5114 3.42099i −0.623960 0.137612i
\(619\) 0.936797 + 1.62258i 0.0376531 + 0.0652170i 0.884238 0.467037i \(-0.154678\pi\)
−0.846585 + 0.532254i \(0.821345\pi\)
\(620\) 12.8451 + 9.78647i 0.515870 + 0.393034i
\(621\) −1.89310 2.05239i −0.0759676 0.0823596i
\(622\) −0.420127 0.152914i −0.0168456 0.00613129i
\(623\) −13.8628 38.0877i −0.555400 1.52595i
\(624\) −4.92590 + 3.78835i −0.197194 + 0.151655i
\(625\) −8.22705 + 23.6075i −0.329082 + 0.944301i
\(626\) −29.7920 −1.19073
\(627\) 17.4573 + 10.9201i 0.697178 + 0.436105i
\(628\) 6.63154i 0.264627i
\(629\) 9.31898 + 52.8505i 0.371572 + 2.10729i
\(630\) −25.3307 + 13.3679i −1.00920 + 0.532588i
\(631\) 3.90451 1.42112i 0.155436 0.0565741i −0.263130 0.964760i \(-0.584755\pi\)
0.418566 + 0.908186i \(0.362533\pi\)
\(632\) 13.1751 + 4.79533i 0.524076 + 0.190748i
\(633\) 7.14225 7.81154i 0.283879 0.310481i
\(634\) −0.0228764 + 0.0396230i −0.000908536 + 0.00157363i
\(635\) −4.39192 10.5009i −0.174288 0.416715i
\(636\) −0.523855 0.115534i −0.0207722 0.00458124i
\(637\) −6.99626 + 39.6778i −0.277202 + 1.57209i
\(638\) 9.21567 + 15.9620i 0.364852 + 0.631942i
\(639\) 5.09306 7.30764i 0.201478 0.289086i
\(640\) −1.64341 + 1.51632i −0.0649613 + 0.0599377i
\(641\) 18.9800 + 6.90815i 0.749665 + 0.272856i 0.688465 0.725270i \(-0.258285\pi\)
0.0612000 + 0.998126i \(0.480507\pi\)
\(642\) 8.58411 2.71689i 0.338788 0.107227i
\(643\) −10.1753 12.1265i −0.401276 0.478222i 0.527133 0.849783i \(-0.323267\pi\)
−0.928409 + 0.371561i \(0.878823\pi\)
\(644\) −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 \(0.347347\pi\)
\(648\) 8.99991 0.0394024i 0.353550 0.00154787i
\(649\) 17.2105 + 20.5106i 0.675570 + 0.805113i
\(650\) −1.68615 17.8594i −0.0661364 0.700503i
\(651\) −49.3637 20.3839i −1.93472 0.798906i
\(652\) 2.18933 2.60914i 0.0857407 0.102182i
\(653\) −0.962137 + 1.66647i −0.0376513 + 0.0652140i −0.884237 0.467038i \(-0.845321\pi\)
0.846586 + 0.532252i \(0.178654\pi\)
\(654\) −1.15720 2.21704i −0.0452503 0.0866932i
\(655\) 17.4800 + 5.44550i 0.682999 + 0.212773i
\(656\) −1.09902 + 6.23284i −0.0429094 + 0.243351i
\(657\) −34.3623 + 16.1151i −1.34060 + 0.628710i
\(658\) 4.90529 8.49622i 0.191228 0.331217i
\(659\) −7.82000 6.56176i −0.304624 0.255610i 0.477642 0.878555i \(-0.341492\pi\)
−0.782266 + 0.622945i \(0.785936\pi\)
\(660\) −5.24010 + 9.17179i −0.203971 + 0.357011i
\(661\) 4.42211 + 12.1496i 0.172000 + 0.472567i 0.995501 0.0947481i \(-0.0302046\pi\)
−0.823501 + 0.567315i \(0.807982\pi\)
\(662\) −19.4545 + 16.3242i −0.756119 + 0.634460i
\(663\) 6.00744 + 45.2483i 0.233310 + 1.75730i
\(664\) 14.5384i 0.564199i
\(665\) 38.2767 16.3318i 1.48431 0.633320i
\(666\) 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
\(669\) 33.9946 10.7594i 1.31431 0.415981i
\(670\) 5.76876 11.1752i 0.222867 0.431736i
\(671\) 2.72005 3.24163i 0.105006 0.125142i
\(672\) 3.96663 6.24142i 0.153016 0.240768i
\(673\) 22.7356 + 39.3792i 0.876393 + 1.51796i 0.855272 + 0.518180i \(0.173390\pi\)
0.0211213 + 0.999777i \(0.493276\pi\)
\(674\) 7.84278 + 1.38289i 0.302093 + 0.0532671i
\(675\) −13.7363 + 22.0525i −0.528711 + 0.848802i
\(676\) −0.0639830 0.110822i −0.00246089 0.00426238i
\(677\) −34.5103 19.9245i −1.32634 0.765761i −0.341606 0.939843i \(-0.610971\pi\)
−0.984731 + 0.174082i \(0.944304\pi\)
\(678\) −10.6243 9.71401i −0.408024 0.373064i
\(679\) −2.59624 + 7.13310i −0.0996344 + 0.273743i
\(680\) 3.60999 + 16.0231i 0.138437 + 0.614457i
\(681\) 9.09880 + 11.8310i 0.348667 + 0.453363i
\(682\) −19.3974 + 3.42029i −0.742766 + 0.130970i
\(683\) 11.7341i 0.448994i 0.974475 + 0.224497i \(0.0720738\pi\)
−0.974475 + 0.224497i \(0.927926\pi\)
\(684\) −13.0370 1.01790i −0.498483 0.0389204i
\(685\) −43.9401 5.63141i −1.67887 0.215165i
\(686\) −3.13604 17.7854i −0.119735 0.679049i
\(687\) −29.4956 + 22.6841i −1.12533 + 0.865452i
\(688\) −0.172212 0.473148i −0.00656552 0.0180386i
\(689\) −0.380048 + 1.04417i −0.0144787 + 0.0397799i
\(690\) −1.58818 + 1.34494i −0.0604610 + 0.0512011i
\(691\) 0.324763 0.562507i 0.0123546 0.0213988i −0.859782 0.510661i \(-0.829401\pi\)
0.872137 + 0.489262i \(0.162734\pi\)
\(692\) 14.1491 8.16897i 0.537867 0.310538i
\(693\) 8.96795 33.7643i 0.340664 1.28260i
\(694\) 13.8264 + 2.43797i 0.524843 + 0.0925441i
\(695\) 5.31136 + 12.6993i 0.201471 + 0.481710i
\(696\) −9.87872 6.27825i −0.374452 0.237977i
\(697\) 35.6124 + 29.8823i 1.34891 + 1.13187i
\(698\) −3.02720 + 8.31715i −0.114581 + 0.314809i
\(699\) −37.1722 + 11.7651i −1.40598 + 0.444996i
\(700\) 9.15479 + 19.2856i 0.346019 + 0.728928i
\(701\) 12.1936 2.15007i 0.460547 0.0812069i 0.0614393 0.998111i \(-0.480431\pi\)
0.399108 + 0.916904i \(0.369320\pi\)
\(702\) 2.37264 18.4910i 0.0895495 0.697896i
\(703\) −5.30547 + 31.4015i −0.200100 + 1.18433i
\(704\) 2.72740i 0.102793i
\(705\) −0.0402966 8.89908i −0.00151766 0.335159i
\(706\) 2.51503 + 2.99730i 0.0946545 + 0.112805i
\(707\) −64.4980 + 23.4753i −2.42570 + 0.882881i
\(708\) −15.7163 6.48975i −0.590654 0.243900i
\(709\) −6.19324 5.19675i −0.232592 0.195168i 0.519041 0.854749i \(-0.326289\pi\)
−0.751633 + 0.659581i \(0.770734\pi\)
\(710\) −5.28103 4.02355i −0.198194 0.151001i
\(711\) −38.0820 + 17.8595i −1.42819 + 0.669784i
\(712\) 9.34886 + 1.64846i 0.350363 + 0.0617785i
\(713\) −3.82168 0.673865i −0.143123 0.0252364i
\(714\) −25.1352 48.1554i −0.940660 1.80217i
\(715\) 17.4046 + 13.2603i 0.650895 + 0.495908i
\(716\) 8.97358 + 7.52972i 0.335358 + 0.281399i
\(717\) 0.174197 0.421855i 0.00650551 0.0157545i
\(718\) 15.7891 5.74677i 0.589245 0.214468i
\(719\) −21.7724 25.9473i −0.811972 0.967671i 0.187923 0.982184i \(-0.439825\pi\)
−0.999895 + 0.0145132i \(0.995380\pi\)
\(720\) 0.254921 6.70336i 0.00950036 0.249819i
\(721\) 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
\(725\) 30.5247 14.4899i 1.13366 0.538142i
\(726\) 1.86130 + 5.88084i 0.0690794 + 0.218259i
\(727\) 10.2253 28.0937i 0.379234 1.04194i −0.592441 0.805614i \(-0.701836\pi\)
0.971675 0.236323i \(-0.0759422\pi\)
\(728\) −11.7346 9.84651i −0.434914 0.364936i
\(729\) −18.9661 + 19.2168i −0.702448 + 0.711735i
\(730\) 10.9154 + 26.0982i 0.403995 + 0.965937i
\(731\) −3.64230 0.642235i −0.134715 0.0237539i
\(732\) −0.578773 + 2.62427i −0.0213921 + 0.0969957i
\(733\) 42.3594 24.4562i 1.56458 0.903311i 0.567798 0.823168i \(-0.307796\pi\)
0.996783 0.0801433i \(-0.0255378\pi\)
\(734\) −14.0973 + 24.4173i −0.520342 + 0.901259i
\(735\) −28.1073 33.1905i −1.03675 1.22425i
\(736\) 0.183785 0.504945i 0.00677440 0.0186125i
\(737\) 5.24648 + 14.4146i 0.193257 + 0.530968i
\(738\) −10.9245 15.5293i −0.402136 0.571643i
\(739\) 2.67304 + 15.1596i 0.0983295 + 0.557654i 0.993676 + 0.112284i \(0.0358168\pi\)
−0.895347 + 0.445370i \(0.853072\pi\)
\(740\) −16.2044 2.07677i −0.595685 0.0763436i
\(741\) −5.64427 + 26.4924i −0.207348 + 0.973223i
\(742\) 1.32237i 0.0485459i
\(743\) 23.5611 4.15445i 0.864372 0.152412i 0.276153 0.961114i \(-0.410940\pi\)
0.588219 + 0.808702i \(0.299829\pi\)
\(744\) 9.91531 7.62554i 0.363513 0.279566i
\(745\) −8.69639 38.5992i −0.318611 1.41416i
\(746\) −10.3273 + 28.3740i −0.378110 + 1.03885i
\(747\) 30.9080 + 30.7730i 1.13086 + 1.12592i
\(748\) −17.3497 10.0168i −0.634367 0.366252i
\(749\) 11.0975 + 19.2215i 0.405495 + 0.702338i
\(750\) 15.9884 + 10.9258i 0.583812 + 0.398953i
\(751\) 19.1056 + 3.36883i 0.697173 + 0.122930i 0.510993 0.859585i \(-0.329278\pi\)
0.186181 + 0.982516i \(0.440389\pi\)
\(752\) 1.14888 + 1.98992i 0.0418953 + 0.0725648i
\(753\) −4.30161 2.73381i −0.156759 0.0996257i
\(754\) −15.5847 + 18.5732i −0.567563 + 0.676395i
\(755\) −10.2412 + 19.8391i −0.372714 + 0.722019i
\(756\) 4.87296 + 21.6439i 0.177228 + 0.787182i
\(757\) 22.0963 + 26.3333i 0.803104 + 0.957101i 0.999727 0.0233776i \(-0.00744201\pi\)
−0.196623 + 0.980479i \(0.562998\pi\)
\(758\) 2.10800 + 11.9551i 0.0765662 + 0.434228i
\(759\) 0.107949 2.53614i 0.00391832 0.0920562i
\(760\) −1.16979 + 9.67634i −0.0424329 + 0.350998i
\(761\) 29.7711i 1.07920i −0.841921 0.539601i \(-0.818575\pi\)
0.841921 0.539601i \(-0.181425\pi\)
\(762\) −8.74003 + 1.16038i −0.316618 + 0.0420361i
\(763\) 4.72256 3.96269i 0.170968 0.143459i
\(764\) 4.27987 + 11.7589i 0.154840 + 0.425420i
\(765\) −41.7056 26.2409i −1.50787 0.948741i
\(766\) 3.76220 + 3.15686i 0.135934 + 0.114062i
\(767\) −17.6105 + 30.5022i −0.635877 + 1.10137i
\(768\) 0.801453 + 1.53547i 0.0289199 + 0.0554066i
\(769\) 2.50433 14.2028i 0.0903084 0.512164i −0.905776 0.423757i \(-0.860711\pi\)
0.996084 0.0884075i \(-0.0281778\pi\)
\(770\) −24.8606 7.74476i −0.895913 0.279102i
\(771\) −4.97719 + 2.59789i −0.179249 + 0.0935607i
\(772\) −6.49803 + 11.2549i −0.233869 + 0.405073i
\(773\) 2.01490 2.40127i 0.0724710 0.0863676i −0.728591 0.684949i \(-0.759824\pi\)
0.801062 + 0.598582i \(0.204269\pi\)
\(774\) 1.37041