Properties

Label 731.2.m.c.87.16
Level 731
Weight 2
Character 731.87
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.m (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 87.16
Character \(\chi\) = 731.87
Dual form 731.2.m.c.689.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0668491 - 0.0668491i) q^{2} +(-2.64125 + 1.09404i) q^{3} -1.99106i q^{4} +(-0.846330 - 2.04322i) q^{5} +(0.249701 + 0.103430i) q^{6} +(1.54141 - 3.72129i) q^{7} +(-0.266799 + 0.266799i) q^{8} +(3.65797 - 3.65797i) q^{9} +O(q^{10})\) \(q+(-0.0668491 - 0.0668491i) q^{2} +(-2.64125 + 1.09404i) q^{3} -1.99106i q^{4} +(-0.846330 - 2.04322i) q^{5} +(0.249701 + 0.103430i) q^{6} +(1.54141 - 3.72129i) q^{7} +(-0.266799 + 0.266799i) q^{8} +(3.65797 - 3.65797i) q^{9} +(-0.0800112 + 0.193164i) q^{10} +(2.21000 + 0.915411i) q^{11} +(2.17831 + 5.25890i) q^{12} -0.0553248i q^{13} +(-0.351807 + 0.145723i) q^{14} +(4.47075 + 4.47075i) q^{15} -3.94645 q^{16} +(3.88070 - 1.39291i) q^{17} -0.489065 q^{18} +(-4.14613 - 4.14613i) q^{19} +(-4.06818 + 1.68510i) q^{20} +11.5152i q^{21} +(-0.0865420 - 0.208931i) q^{22} +(-2.47475 - 1.02507i) q^{23} +(0.412794 - 0.996574i) q^{24} +(0.0770518 - 0.0770518i) q^{25} +(-0.00369841 + 0.00369841i) q^{26} +(-2.37752 + 5.73985i) q^{27} +(-7.40932 - 3.06904i) q^{28} +(1.65775 + 4.00216i) q^{29} -0.597731i q^{30} +(4.40220 - 1.82345i) q^{31} +(0.797415 + 0.797415i) q^{32} -6.83867 q^{33} +(-0.352536 - 0.166307i) q^{34} -8.90796 q^{35} +(-7.28325 - 7.28325i) q^{36} +(-7.74976 + 3.21006i) q^{37} +0.554330i q^{38} +(0.0605277 + 0.146127i) q^{39} +(0.770930 + 0.319330i) q^{40} +(0.0490939 - 0.118523i) q^{41} +(0.769784 - 0.769784i) q^{42} +(-0.707107 + 0.707107i) q^{43} +(1.82264 - 4.40024i) q^{44} +(-10.5699 - 4.37820i) q^{45} +(0.0969094 + 0.233960i) q^{46} -5.01451i q^{47} +(10.4236 - 4.31759i) q^{48} +(-6.52231 - 6.52231i) q^{49} -0.0103017 q^{50} +(-8.72601 + 7.92467i) q^{51} -0.110155 q^{52} +(-3.29222 - 3.29222i) q^{53} +(0.542640 - 0.224769i) q^{54} -5.29026i q^{55} +(0.581590 + 1.40408i) q^{56} +(15.4870 + 6.41493i) q^{57} +(0.156722 - 0.378360i) q^{58} +(6.50024 - 6.50024i) q^{59} +(8.90154 - 8.90154i) q^{60} +(-2.12524 + 5.13079i) q^{61} +(-0.416179 - 0.172387i) q^{62} +(-7.97394 - 19.2508i) q^{63} +7.78630i q^{64} +(-0.113041 + 0.0468230i) q^{65} +(0.457159 + 0.457159i) q^{66} -14.7416 q^{67} +(-2.77336 - 7.72671i) q^{68} +7.65791 q^{69} +(0.595490 + 0.595490i) q^{70} +(-5.20984 + 2.15798i) q^{71} +1.95189i q^{72} +(1.57086 + 3.79238i) q^{73} +(0.732655 + 0.303476i) q^{74} +(-0.119215 + 0.287812i) q^{75} +(-8.25520 + 8.25520i) q^{76} +(6.81302 - 6.81302i) q^{77} +(0.00572223 - 0.0138147i) q^{78} +(8.63650 + 3.57735i) q^{79} +(3.34000 + 8.06348i) q^{80} -2.24206i q^{81} +(-0.0112051 + 0.00464129i) q^{82} +(-6.93634 - 6.93634i) q^{83} +22.9276 q^{84} +(-6.13037 - 6.75027i) q^{85} +0.0945390 q^{86} +(-8.75707 - 8.75707i) q^{87} +(-0.833856 + 0.345395i) q^{88} +16.0929i q^{89} +(0.413910 + 0.999268i) q^{90} +(-0.205879 - 0.0852781i) q^{91} +(-2.04099 + 4.92737i) q^{92} +(-9.63240 + 9.63240i) q^{93} +(-0.335216 + 0.335216i) q^{94} +(-4.96247 + 11.9805i) q^{95} +(-2.97858 - 1.23377i) q^{96} +(1.07576 + 2.59711i) q^{97} +0.872021i q^{98} +(11.4327 - 4.73556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} + O(q^{10}) \) \( 128q + 4q^{2} + 4q^{3} + 8q^{5} - 12q^{6} + 4q^{7} - 4q^{8} + 8q^{9} - 8q^{10} - 4q^{11} + 12q^{12} + 12q^{14} - 12q^{15} - 144q^{16} - 12q^{17} + 64q^{18} - 28q^{19} - 8q^{20} - 12q^{22} + 16q^{23} - 16q^{24} - 20q^{25} + 16q^{26} - 8q^{27} + 20q^{28} + 12q^{31} - 4q^{32} - 104q^{33} + 20q^{34} + 32q^{35} - 96q^{36} - 12q^{37} + 8q^{39} + 216q^{40} + 24q^{41} - 4q^{42} + 24q^{44} - 28q^{45} - 48q^{46} + 28q^{48} - 80q^{50} - 20q^{51} + 56q^{52} - 36q^{53} - 12q^{54} - 8q^{56} + 72q^{57} - 32q^{58} + 48q^{59} - 40q^{60} - 76q^{61} - 44q^{62} + 36q^{65} - 68q^{66} - 48q^{67} + 32q^{68} + 216q^{69} - 196q^{70} + 4q^{71} + 20q^{73} + 88q^{74} + 80q^{75} + 72q^{76} + 28q^{77} - 120q^{78} + 68q^{79} - 68q^{80} + 28q^{82} - 36q^{83} - 152q^{84} + 28q^{85} - 24q^{86} - 56q^{87} + 20q^{88} - 112q^{90} + 96q^{91} - 28q^{92} + 24q^{93} - 36q^{94} - 108q^{95} + 272q^{96} + 8q^{97} - 20q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0668491 0.0668491i −0.0472695 0.0472695i 0.683077 0.730346i \(-0.260641\pi\)
−0.730346 + 0.683077i \(0.760641\pi\)
\(3\) −2.64125 + 1.09404i −1.52493 + 0.631646i −0.978572 0.205906i \(-0.933986\pi\)
−0.546357 + 0.837552i \(0.683986\pi\)
\(4\) 1.99106i 0.995531i
\(5\) −0.846330 2.04322i −0.378490 0.913757i −0.992249 0.124263i \(-0.960343\pi\)
0.613759 0.789494i \(-0.289657\pi\)
\(6\) 0.249701 + 0.103430i 0.101940 + 0.0422250i
\(7\) 1.54141 3.72129i 0.582598 1.40652i −0.307852 0.951434i \(-0.599610\pi\)
0.890450 0.455081i \(-0.150390\pi\)
\(8\) −0.266799 + 0.266799i −0.0943277 + 0.0943277i
\(9\) 3.65797 3.65797i 1.21932 1.21932i
\(10\) −0.0800112 + 0.193164i −0.0253018 + 0.0610839i
\(11\) 2.21000 + 0.915411i 0.666339 + 0.276007i 0.690103 0.723711i \(-0.257565\pi\)
−0.0237640 + 0.999718i \(0.507565\pi\)
\(12\) 2.17831 + 5.25890i 0.628823 + 1.51811i
\(13\) 0.0553248i 0.0153443i −0.999971 0.00767217i \(-0.997558\pi\)
0.999971 0.00767217i \(-0.00244215\pi\)
\(14\) −0.351807 + 0.145723i −0.0940243 + 0.0389461i
\(15\) 4.47075 + 4.47075i 1.15434 + 1.15434i
\(16\) −3.94645 −0.986614
\(17\) 3.88070 1.39291i 0.941207 0.337830i
\(18\) −0.489065 −0.115274
\(19\) −4.14613 4.14613i −0.951187 0.951187i 0.0476761 0.998863i \(-0.484818\pi\)
−0.998863 + 0.0476761i \(0.984818\pi\)
\(20\) −4.06818 + 1.68510i −0.909673 + 0.376799i
\(21\) 11.5152i 2.51283i
\(22\) −0.0865420 0.208931i −0.0184508 0.0445442i
\(23\) −2.47475 1.02507i −0.516020 0.213743i 0.109448 0.993993i \(-0.465092\pi\)
−0.625468 + 0.780250i \(0.715092\pi\)
\(24\) 0.412794 0.996574i 0.0842613 0.203425i
\(25\) 0.0770518 0.0770518i 0.0154104 0.0154104i
\(26\) −0.00369841 + 0.00369841i −0.000725319 + 0.000725319i
\(27\) −2.37752 + 5.73985i −0.457555 + 1.10463i
\(28\) −7.40932 3.06904i −1.40023 0.579994i
\(29\) 1.65775 + 4.00216i 0.307836 + 0.743182i 0.999775 + 0.0212257i \(0.00675684\pi\)
−0.691939 + 0.721956i \(0.743243\pi\)
\(30\) 0.597731i 0.109130i
\(31\) 4.40220 1.82345i 0.790659 0.327501i 0.0494502 0.998777i \(-0.484253\pi\)
0.741208 + 0.671275i \(0.234253\pi\)
\(32\) 0.797415 + 0.797415i 0.140964 + 0.140964i
\(33\) −6.83867 −1.19046
\(34\) −0.352536 0.166307i −0.0604594 0.0285214i
\(35\) −8.90796 −1.50572
\(36\) −7.28325 7.28325i −1.21388 1.21388i
\(37\) −7.74976 + 3.21006i −1.27405 + 0.527730i −0.914194 0.405276i \(-0.867175\pi\)
−0.359859 + 0.933007i \(0.617175\pi\)
\(38\) 0.554330i 0.0899242i
\(39\) 0.0605277 + 0.146127i 0.00969219 + 0.0233990i
\(40\) 0.770930 + 0.319330i 0.121895 + 0.0504905i
\(41\) 0.0490939 0.118523i 0.00766719 0.0185102i −0.920000 0.391919i \(-0.871811\pi\)
0.927667 + 0.373409i \(0.121811\pi\)
\(42\) 0.769784 0.769784i 0.118780 0.118780i
\(43\) −0.707107 + 0.707107i −0.107833 + 0.107833i
\(44\) 1.82264 4.40024i 0.274773 0.663362i
\(45\) −10.5699 4.37820i −1.57567 0.652663i
\(46\) 0.0969094 + 0.233960i 0.0142885 + 0.0344955i
\(47\) 5.01451i 0.731441i −0.930725 0.365721i \(-0.880823\pi\)
0.930725 0.365721i \(-0.119177\pi\)
\(48\) 10.4236 4.31759i 1.50452 0.623191i
\(49\) −6.52231 6.52231i −0.931758 0.931758i
\(50\) −0.0103017 −0.00145688
\(51\) −8.72601 + 7.92467i −1.22189 + 1.10968i
\(52\) −0.110155 −0.0152758
\(53\) −3.29222 3.29222i −0.452221 0.452221i 0.443870 0.896091i \(-0.353605\pi\)
−0.896091 + 0.443870i \(0.853605\pi\)
\(54\) 0.542640 0.224769i 0.0738439 0.0305871i
\(55\) 5.29026i 0.713338i
\(56\) 0.581590 + 1.40408i 0.0777183 + 0.187628i
\(57\) 15.4870 + 6.41493i 2.05131 + 0.849679i
\(58\) 0.156722 0.378360i 0.0205786 0.0496811i
\(59\) 6.50024 6.50024i 0.846260 0.846260i −0.143404 0.989664i \(-0.545805\pi\)
0.989664 + 0.143404i \(0.0458050\pi\)
\(60\) 8.90154 8.90154i 1.14918 1.14918i
\(61\) −2.12524 + 5.13079i −0.272109 + 0.656930i −0.999573 0.0292159i \(-0.990699\pi\)
0.727464 + 0.686146i \(0.240699\pi\)
\(62\) −0.416179 0.172387i −0.0528548 0.0218932i
\(63\) −7.97394 19.2508i −1.00462 2.42537i
\(64\) 7.78630i 0.973287i
\(65\) −0.113041 + 0.0468230i −0.0140210 + 0.00580768i
\(66\) 0.457159 + 0.457159i 0.0562724 + 0.0562724i
\(67\) −14.7416 −1.80098 −0.900489 0.434878i \(-0.856791\pi\)
−0.900489 + 0.434878i \(0.856791\pi\)
\(68\) −2.77336 7.72671i −0.336320 0.937001i
\(69\) 7.65791 0.921904
\(70\) 0.595490 + 0.595490i 0.0711746 + 0.0711746i
\(71\) −5.20984 + 2.15798i −0.618294 + 0.256106i −0.669770 0.742569i \(-0.733607\pi\)
0.0514763 + 0.998674i \(0.483607\pi\)
\(72\) 1.95189i 0.230032i
\(73\) 1.57086 + 3.79238i 0.183855 + 0.443865i 0.988755 0.149546i \(-0.0477811\pi\)
−0.804900 + 0.593410i \(0.797781\pi\)
\(74\) 0.732655 + 0.303476i 0.0851694 + 0.0352783i
\(75\) −0.119215 + 0.287812i −0.0137658 + 0.0332336i
\(76\) −8.25520 + 8.25520i −0.946936 + 0.946936i
\(77\) 6.81302 6.81302i 0.776416 0.776416i
\(78\) 0.00572223 0.0138147i 0.000647914 0.00156420i
\(79\) 8.63650 + 3.57735i 0.971682 + 0.402484i 0.811338 0.584577i \(-0.198740\pi\)
0.160344 + 0.987061i \(0.448740\pi\)
\(80\) 3.34000 + 8.06348i 0.373424 + 0.901525i
\(81\) 2.24206i 0.249118i
\(82\) −0.0112051 + 0.00464129i −0.00123739 + 0.000512545i
\(83\) −6.93634 6.93634i −0.761363 0.761363i 0.215206 0.976569i \(-0.430958\pi\)
−0.976569 + 0.215206i \(0.930958\pi\)
\(84\) 22.9276 2.50160
\(85\) −6.13037 6.75027i −0.664932 0.732169i
\(86\) 0.0945390 0.0101944
\(87\) −8.75707 8.75707i −0.938856 0.938856i
\(88\) −0.833856 + 0.345395i −0.0888894 + 0.0368192i
\(89\) 16.0929i 1.70585i 0.522037 + 0.852923i \(0.325172\pi\)
−0.522037 + 0.852923i \(0.674828\pi\)
\(90\) 0.413910 + 0.999268i 0.0436300 + 0.105332i
\(91\) −0.205879 0.0852781i −0.0215820 0.00893957i
\(92\) −2.04099 + 4.92737i −0.212787 + 0.513714i
\(93\) −9.63240 + 9.63240i −0.998833 + 0.998833i
\(94\) −0.335216 + 0.335216i −0.0345748 + 0.0345748i
\(95\) −4.96247 + 11.9805i −0.509138 + 1.22917i
\(96\) −2.97858 1.23377i −0.304000 0.125921i
\(97\) 1.07576 + 2.59711i 0.109227 + 0.263696i 0.969036 0.246918i \(-0.0794179\pi\)
−0.859810 + 0.510615i \(0.829418\pi\)
\(98\) 0.872021i 0.0880874i
\(99\) 11.4327 4.73556i 1.14903 0.475942i
\(100\) −0.153415 0.153415i −0.0153415 0.0153415i
\(101\) 16.9147 1.68308 0.841540 0.540195i \(-0.181649\pi\)
0.841540 + 0.540195i \(0.181649\pi\)
\(102\) 1.11308 + 0.0535686i 0.110212 + 0.00530408i
\(103\) −12.4096 −1.22275 −0.611377 0.791339i \(-0.709384\pi\)
−0.611377 + 0.791339i \(0.709384\pi\)
\(104\) 0.0147606 + 0.0147606i 0.00144740 + 0.00144740i
\(105\) 23.5282 9.74570i 2.29612 0.951082i
\(106\) 0.440164i 0.0427525i
\(107\) 6.28677 + 15.1776i 0.607765 + 1.46728i 0.865424 + 0.501039i \(0.167049\pi\)
−0.257659 + 0.966236i \(0.582951\pi\)
\(108\) 11.4284 + 4.73380i 1.09970 + 0.455510i
\(109\) −3.76112 + 9.08014i −0.360250 + 0.869720i 0.635013 + 0.772501i \(0.280995\pi\)
−0.995263 + 0.0972185i \(0.969005\pi\)
\(110\) −0.353649 + 0.353649i −0.0337191 + 0.0337191i
\(111\) 16.9572 16.9572i 1.60950 1.60950i
\(112\) −6.08310 + 14.6859i −0.574799 + 1.38769i
\(113\) 6.29136 + 2.60597i 0.591841 + 0.245149i 0.658443 0.752631i \(-0.271216\pi\)
−0.0666013 + 0.997780i \(0.521216\pi\)
\(114\) −0.606461 1.46413i −0.0568003 0.137128i
\(115\) 5.92401i 0.552417i
\(116\) 7.96854 3.30068i 0.739861 0.306460i
\(117\) −0.202376 0.202376i −0.0187097 0.0187097i
\(118\) −0.869072 −0.0800045
\(119\) 0.798330 16.5882i 0.0731828 1.52064i
\(120\) −2.38558 −0.217773
\(121\) −3.73206 3.73206i −0.339278 0.339278i
\(122\) 0.485059 0.200918i 0.0439152 0.0181903i
\(123\) 0.366761i 0.0330697i
\(124\) −3.63060 8.76506i −0.326038 0.787125i
\(125\) −10.4388 4.32387i −0.933671 0.386739i
\(126\) −0.753848 + 1.81995i −0.0671581 + 0.162134i
\(127\) 10.3166 10.3166i 0.915449 0.915449i −0.0812454 0.996694i \(-0.525890\pi\)
0.996694 + 0.0812454i \(0.0258897\pi\)
\(128\) 2.11534 2.11534i 0.186971 0.186971i
\(129\) 1.09404 2.64125i 0.0963251 0.232549i
\(130\) 0.0106868 + 0.00442660i 0.000937291 + 0.000388239i
\(131\) −5.86095 14.1496i −0.512074 1.23625i −0.942675 0.333713i \(-0.891698\pi\)
0.430601 0.902542i \(-0.358302\pi\)
\(132\) 13.6162i 1.18514i
\(133\) −21.8198 + 9.03806i −1.89202 + 0.783699i
\(134\) 0.985466 + 0.985466i 0.0851313 + 0.0851313i
\(135\) 13.7400 1.18255
\(136\) −0.663740 + 1.40699i −0.0569153 + 0.120649i
\(137\) 10.5209 0.898859 0.449429 0.893316i \(-0.351627\pi\)
0.449429 + 0.893316i \(0.351627\pi\)
\(138\) −0.511925 0.511925i −0.0435779 0.0435779i
\(139\) 5.66300 2.34569i 0.480330 0.198959i −0.129362 0.991597i \(-0.541293\pi\)
0.609692 + 0.792638i \(0.291293\pi\)
\(140\) 17.7363i 1.49899i
\(141\) 5.48609 + 13.2446i 0.462012 + 1.11540i
\(142\) 0.492532 + 0.204014i 0.0413324 + 0.0171204i
\(143\) 0.0506449 0.122268i 0.00423514 0.0102245i
\(144\) −14.4360 + 14.4360i −1.20300 + 1.20300i
\(145\) 6.77429 6.77429i 0.562575 0.562575i
\(146\) 0.148507 0.358528i 0.0122905 0.0296720i
\(147\) 24.3627 + 10.0914i 2.00941 + 0.832323i
\(148\) 6.39143 + 15.4303i 0.525372 + 1.26836i
\(149\) 9.63863i 0.789627i −0.918761 0.394813i \(-0.870809\pi\)
0.918761 0.394813i \(-0.129191\pi\)
\(150\) 0.0272094 0.0112705i 0.00222164 0.000920233i
\(151\) 6.57985 + 6.57985i 0.535461 + 0.535461i 0.922192 0.386732i \(-0.126396\pi\)
−0.386732 + 0.922192i \(0.626396\pi\)
\(152\) 2.21237 0.179447
\(153\) 9.10027 19.2907i 0.735713 1.55956i
\(154\) −0.910889 −0.0734015
\(155\) −7.45143 7.45143i −0.598513 0.598513i
\(156\) 0.290948 0.120514i 0.0232944 0.00964888i
\(157\) 12.2094i 0.974413i −0.873287 0.487206i \(-0.838016\pi\)
0.873287 0.487206i \(-0.161984\pi\)
\(158\) −0.338199 0.816486i −0.0269057 0.0649561i
\(159\) 12.2974 + 5.09376i 0.975249 + 0.403961i
\(160\) 0.954420 2.30417i 0.0754535 0.182161i
\(161\) −7.62919 + 7.62919i −0.601264 + 0.601264i
\(162\) −0.149880 + 0.149880i −0.0117757 + 0.0117757i
\(163\) −3.62941 + 8.76218i −0.284277 + 0.686307i −0.999926 0.0121539i \(-0.996131\pi\)
0.715649 + 0.698460i \(0.246131\pi\)
\(164\) −0.235987 0.0977491i −0.0184275 0.00763292i
\(165\) 5.78777 + 13.9729i 0.450577 + 1.08779i
\(166\) 0.927377i 0.0719784i
\(167\) 3.66770 1.51921i 0.283816 0.117560i −0.236234 0.971696i \(-0.575913\pi\)
0.520050 + 0.854136i \(0.325913\pi\)
\(168\) −3.07225 3.07225i −0.237030 0.237030i
\(169\) 12.9969 0.999765
\(170\) −0.0414396 + 0.861060i −0.00317827 + 0.0660403i
\(171\) −30.3328 −2.31961
\(172\) 1.40789 + 1.40789i 0.107351 + 0.107351i
\(173\) −2.58192 + 1.06947i −0.196300 + 0.0813101i −0.478668 0.877996i \(-0.658880\pi\)
0.282368 + 0.959306i \(0.408880\pi\)
\(174\) 1.17080i 0.0887585i
\(175\) −0.167964 0.405501i −0.0126969 0.0306530i
\(176\) −8.72166 3.61263i −0.657420 0.272312i
\(177\) −10.0572 + 24.2803i −0.755949 + 1.82502i
\(178\) 1.07580 1.07580i 0.0806344 0.0806344i
\(179\) −7.10699 + 7.10699i −0.531201 + 0.531201i −0.920930 0.389728i \(-0.872569\pi\)
0.389728 + 0.920930i \(0.372569\pi\)
\(180\) −8.71726 + 21.0453i −0.649746 + 1.56863i
\(181\) 8.96332 + 3.71273i 0.666238 + 0.275965i 0.690061 0.723751i \(-0.257584\pi\)
−0.0238228 + 0.999716i \(0.507584\pi\)
\(182\) 0.00806210 + 0.0194636i 0.000597603 + 0.00144274i
\(183\) 15.8768i 1.17365i
\(184\) 0.933749 0.386771i 0.0688369 0.0285132i
\(185\) 13.1177 + 13.1177i 0.964434 + 0.964434i
\(186\) 1.28783 0.0944286
\(187\) 9.85141 + 0.474112i 0.720407 + 0.0346705i
\(188\) −9.98420 −0.728172
\(189\) 17.6949 + 17.6949i 1.28712 + 1.28712i
\(190\) 1.13262 0.469146i 0.0821689 0.0340355i
\(191\) 13.5953i 0.983719i −0.870674 0.491860i \(-0.836317\pi\)
0.870674 0.491860i \(-0.163683\pi\)
\(192\) −8.51854 20.5656i −0.614773 1.48419i
\(193\) −9.91580 4.10726i −0.713755 0.295647i −0.00389741 0.999992i \(-0.501241\pi\)
−0.709857 + 0.704346i \(0.751241\pi\)
\(194\) 0.101701 0.245528i 0.00730171 0.0176279i
\(195\) 0.247343 0.247343i 0.0177126 0.0177126i
\(196\) −12.9863 + 12.9863i −0.927594 + 0.927594i
\(197\) 3.13615 7.57132i 0.223441 0.539435i −0.771912 0.635730i \(-0.780699\pi\)
0.995353 + 0.0962952i \(0.0306993\pi\)
\(198\) −1.08083 0.447695i −0.0768114 0.0318163i
\(199\) −3.95244 9.54204i −0.280181 0.676417i 0.719658 0.694328i \(-0.244298\pi\)
−0.999840 + 0.0179110i \(0.994298\pi\)
\(200\) 0.0411147i 0.00290725i
\(201\) 38.9364 16.1280i 2.74636 1.13758i
\(202\) −1.13074 1.13074i −0.0795583 0.0795583i
\(203\) 17.4485 1.22464
\(204\) 15.7785 + 17.3740i 1.10472 + 1.21643i
\(205\) −0.283719 −0.0198158
\(206\) 0.829571 + 0.829571i 0.0577989 + 0.0577989i
\(207\) −12.8022 + 5.30286i −0.889817 + 0.368574i
\(208\) 0.218337i 0.0151389i
\(209\) −5.36752 12.9583i −0.371279 0.896347i
\(210\) −2.22433 0.921348i −0.153493 0.0635790i
\(211\) −1.66040 + 4.00857i −0.114307 + 0.275961i −0.970671 0.240411i \(-0.922718\pi\)
0.856364 + 0.516372i \(0.172718\pi\)
\(212\) −6.55502 + 6.55502i −0.450200 + 0.450200i
\(213\) 11.3996 11.3996i 0.781086 0.781086i
\(214\) 0.594345 1.43488i 0.0406286 0.0980861i
\(215\) 2.04322 + 0.846330i 0.139347 + 0.0577193i
\(216\) −0.897066 2.16571i −0.0610376 0.147358i
\(217\) 19.1925i 1.30287i
\(218\) 0.858427 0.355572i 0.0581400 0.0240824i
\(219\) −8.29806 8.29806i −0.560731 0.560731i
\(220\) −10.5332 −0.710150
\(221\) −0.0770623 0.214699i −0.00518377 0.0144422i
\(222\) −2.26714 −0.152161
\(223\) −14.1820 14.1820i −0.949697 0.949697i 0.0490974 0.998794i \(-0.484366\pi\)
−0.998794 + 0.0490974i \(0.984366\pi\)
\(224\) 4.19656 1.73827i 0.280394 0.116143i
\(225\) 0.563707i 0.0375805i
\(226\) −0.246365 0.594778i −0.0163880 0.0395641i
\(227\) −0.467058 0.193462i −0.0309998 0.0128405i 0.367130 0.930170i \(-0.380341\pi\)
−0.398129 + 0.917329i \(0.630341\pi\)
\(228\) 12.7725 30.8356i 0.845881 2.04214i
\(229\) 11.9981 11.9981i 0.792858 0.792858i −0.189099 0.981958i \(-0.560557\pi\)
0.981958 + 0.189099i \(0.0605569\pi\)
\(230\) 0.396015 0.396015i 0.0261124 0.0261124i
\(231\) −10.5412 + 25.4487i −0.693558 + 1.67440i
\(232\) −1.51006 0.625486i −0.0991401 0.0410652i
\(233\) −2.13754 5.16049i −0.140035 0.338075i 0.838266 0.545261i \(-0.183569\pi\)
−0.978302 + 0.207186i \(0.933569\pi\)
\(234\) 0.0270574i 0.00176880i
\(235\) −10.2458 + 4.24393i −0.668359 + 0.276843i
\(236\) −12.9424 12.9424i −0.842478 0.842478i
\(237\) −26.7250 −1.73597
\(238\) −1.16228 + 1.05554i −0.0753392 + 0.0684206i
\(239\) −1.55071 −0.100307 −0.0501534 0.998742i \(-0.515971\pi\)
−0.0501534 + 0.998742i \(0.515971\pi\)
\(240\) −17.6436 17.6436i −1.13889 1.13889i
\(241\) 14.3165 5.93008i 0.922205 0.381990i 0.129489 0.991581i \(-0.458666\pi\)
0.792716 + 0.609591i \(0.208666\pi\)
\(242\) 0.498970i 0.0320750i
\(243\) −4.67966 11.2977i −0.300201 0.724748i
\(244\) 10.2157 + 4.23149i 0.653995 + 0.270893i
\(245\) −7.80649 + 18.8465i −0.498739 + 1.20406i
\(246\) 0.0245177 0.0245177i 0.00156319 0.00156319i
\(247\) −0.229384 + 0.229384i −0.0145953 + 0.0145953i
\(248\) −0.688008 + 1.66100i −0.0436885 + 0.105473i
\(249\) 25.9093 + 10.7320i 1.64194 + 0.680112i
\(250\) 0.408775 + 0.986869i 0.0258532 + 0.0624151i
\(251\) 27.1618i 1.71444i −0.514950 0.857220i \(-0.672190\pi\)
0.514950 0.857220i \(-0.327810\pi\)
\(252\) −38.3295 + 15.8766i −2.41453 + 1.00013i
\(253\) −4.53082 4.53082i −0.284850 0.284850i
\(254\) −1.37931 −0.0865456
\(255\) 23.5769 + 11.1223i 1.47645 + 0.696504i
\(256\) 15.2898 0.955611
\(257\) −14.3360 14.3360i −0.894253 0.894253i 0.100667 0.994920i \(-0.467902\pi\)
−0.994920 + 0.100667i \(0.967902\pi\)
\(258\) −0.249701 + 0.103430i −0.0155457 + 0.00643925i
\(259\) 33.7871i 2.09943i
\(260\) 0.0932276 + 0.225071i 0.00578173 + 0.0139583i
\(261\) 20.7038 + 8.57578i 1.28153 + 0.530828i
\(262\) −0.554088 + 1.33769i −0.0342317 + 0.0826426i
\(263\) −3.64361 + 3.64361i −0.224674 + 0.224674i −0.810464 0.585789i \(-0.800785\pi\)
0.585789 + 0.810464i \(0.300785\pi\)
\(264\) 1.82455 1.82455i 0.112293 0.112293i
\(265\) −3.94043 + 9.51304i −0.242059 + 0.584382i
\(266\) 2.06282 + 0.854449i 0.126480 + 0.0523896i
\(267\) −17.6063 42.5055i −1.07749 2.60129i
\(268\) 29.3515i 1.79293i
\(269\) 24.3054 10.0676i 1.48193 0.613835i 0.512385 0.858756i \(-0.328762\pi\)
0.969543 + 0.244921i \(0.0787620\pi\)
\(270\) −0.918505 0.918505i −0.0558984 0.0558984i
\(271\) −30.6474 −1.86170 −0.930848 0.365406i \(-0.880930\pi\)
−0.930848 + 0.365406i \(0.880930\pi\)
\(272\) −15.3150 + 5.49704i −0.928608 + 0.333307i
\(273\) 0.637078 0.0385577
\(274\) −0.703311 0.703311i −0.0424886 0.0424886i
\(275\) 0.240819 0.0997503i 0.0145219 0.00601517i
\(276\) 15.2474i 0.917784i
\(277\) 5.06869 + 12.2369i 0.304548 + 0.735244i 0.999863 + 0.0165393i \(0.00526488\pi\)
−0.695315 + 0.718705i \(0.744735\pi\)
\(278\) −0.535374 0.221759i −0.0321096 0.0133002i
\(279\) 9.43299 22.7733i 0.564739 1.36340i
\(280\) 2.37664 2.37664i 0.142031 0.142031i
\(281\) 9.63229 9.63229i 0.574614 0.574614i −0.358800 0.933414i \(-0.616814\pi\)
0.933414 + 0.358800i \(0.116814\pi\)
\(282\) 0.518649 1.25213i 0.0308851 0.0745632i
\(283\) 23.1858 + 9.60386i 1.37825 + 0.570890i 0.944013 0.329908i \(-0.107018\pi\)
0.434238 + 0.900798i \(0.357018\pi\)
\(284\) 4.29668 + 10.3731i 0.254961 + 0.615531i
\(285\) 37.0726i 2.19599i
\(286\) −0.0115591 + 0.00478792i −0.000683501 + 0.000283115i
\(287\) −0.365386 0.365386i −0.0215680 0.0215680i
\(288\) 5.83385 0.343763
\(289\) 13.1196 10.8109i 0.771742 0.635935i
\(290\) −0.905711 −0.0531852
\(291\) −5.68270 5.68270i −0.333126 0.333126i
\(292\) 7.55087 3.12767i 0.441881 0.183033i
\(293\) 23.2782i 1.35993i 0.733246 + 0.679964i \(0.238004\pi\)
−0.733246 + 0.679964i \(0.761996\pi\)
\(294\) −0.954029 2.30323i −0.0556401 0.134327i
\(295\) −18.7828 7.78009i −1.09358 0.452974i
\(296\) 1.21119 2.92407i 0.0703990 0.169958i
\(297\) −10.5086 + 10.5086i −0.609774 + 0.609774i
\(298\) −0.644334 + 0.644334i −0.0373253 + 0.0373253i
\(299\) −0.0567120 + 0.136915i −0.00327974 + 0.00791799i
\(300\) 0.573051 + 0.237365i 0.0330851 + 0.0137043i
\(301\) 1.54141 + 3.72129i 0.0888453 + 0.214492i
\(302\) 0.879715i 0.0506219i
\(303\) −44.6761 + 18.5055i −2.56658 + 1.06311i
\(304\) 16.3625 + 16.3625i 0.938454 + 0.938454i
\(305\) 12.2820 0.703265
\(306\) −1.89791 + 0.681221i −0.108496 + 0.0389428i
\(307\) −11.6558 −0.665232 −0.332616 0.943062i \(-0.607931\pi\)
−0.332616 + 0.943062i \(0.607931\pi\)
\(308\) −13.5651 13.5651i −0.772946 0.772946i
\(309\) 32.7769 13.5766i 1.86461 0.772348i
\(310\) 0.996244i 0.0565828i
\(311\) 10.1781 + 24.5722i 0.577150 + 1.39336i 0.895360 + 0.445343i \(0.146918\pi\)
−0.318211 + 0.948020i \(0.603082\pi\)
\(312\) −0.0551352 0.0228378i −0.00312142 0.00129293i
\(313\) 7.27000 17.5513i 0.410925 0.992060i −0.573965 0.818879i \(-0.694596\pi\)
0.984890 0.173180i \(-0.0554043\pi\)
\(314\) −0.816185 + 0.816185i −0.0460600 + 0.0460600i
\(315\) −32.5851 + 32.5851i −1.83596 + 1.83596i
\(316\) 7.12274 17.1958i 0.400685 0.967340i
\(317\) 24.7423 + 10.2486i 1.38966 + 0.575618i 0.947048 0.321093i \(-0.104050\pi\)
0.442617 + 0.896711i \(0.354050\pi\)
\(318\) −0.481559 1.16259i −0.0270045 0.0651946i
\(319\) 10.3623i 0.580176i
\(320\) 15.9091 6.58978i 0.889348 0.368380i
\(321\) −33.2099 33.2099i −1.85360 1.85360i
\(322\) 1.02001 0.0568429
\(323\) −21.8650 10.3147i −1.21660 0.573925i
\(324\) −4.46408 −0.248004
\(325\) −0.00426288 0.00426288i −0.000236462 0.000236462i
\(326\) 0.828367 0.343121i 0.0458790 0.0190037i
\(327\) 28.0978i 1.55381i
\(328\) 0.0185237 + 0.0447201i 0.00102280 + 0.00246926i
\(329\) −18.6604 7.72940i −1.02878 0.426136i
\(330\) 0.547170 1.32098i 0.0301207 0.0727178i
\(331\) −0.300269 + 0.300269i −0.0165043 + 0.0165043i −0.715311 0.698806i \(-0.753715\pi\)
0.698806 + 0.715311i \(0.253715\pi\)
\(332\) −13.8107 + 13.8107i −0.757960 + 0.757960i
\(333\) −16.6061 + 40.0907i −0.910010 + 2.19696i
\(334\) −0.346741 0.143625i −0.0189728 0.00785880i
\(335\) 12.4763 + 30.1205i 0.681653 + 1.64566i
\(336\) 45.4444i 2.47919i
\(337\) −27.9871 + 11.5926i −1.52455 + 0.631491i −0.978498 0.206258i \(-0.933872\pi\)
−0.546056 + 0.837748i \(0.683872\pi\)
\(338\) −0.868834 0.868834i −0.0472583 0.0472583i
\(339\) −19.4681 −1.05736
\(340\) −13.4402 + 12.2059i −0.728897 + 0.661961i
\(341\) 11.3981 0.617240
\(342\) 2.02772 + 2.02772i 0.109647 + 0.109647i
\(343\) −8.27589 + 3.42799i −0.446856 + 0.185094i
\(344\) 0.377311i 0.0203432i
\(345\) −6.48112 15.6468i −0.348932 0.842396i
\(346\) 0.244092 + 0.101106i 0.0131225 + 0.00543551i
\(347\) 1.32392 3.19623i 0.0710719 0.171583i −0.884352 0.466821i \(-0.845399\pi\)
0.955424 + 0.295239i \(0.0953991\pi\)
\(348\) −17.4359 + 17.4359i −0.934660 + 0.934660i
\(349\) 3.43627 3.43627i 0.183939 0.183939i −0.609131 0.793070i \(-0.708482\pi\)
0.793070 + 0.609131i \(0.208482\pi\)
\(350\) −0.0158791 + 0.0383356i −0.000848775 + 0.00204912i
\(351\) 0.317556 + 0.131536i 0.0169499 + 0.00702087i
\(352\) 1.03232 + 2.49225i 0.0550230 + 0.132837i
\(353\) 24.6396i 1.31143i 0.755008 + 0.655716i \(0.227633\pi\)
−0.755008 + 0.655716i \(0.772367\pi\)
\(354\) 2.29544 0.950802i 0.122001 0.0505345i
\(355\) 8.81848 + 8.81848i 0.468037 + 0.468037i
\(356\) 32.0420 1.69822
\(357\) 16.0397 + 44.6871i 0.848908 + 2.36509i
\(358\) 0.950192 0.0502192
\(359\) −4.63102 4.63102i −0.244416 0.244416i 0.574258 0.818674i \(-0.305291\pi\)
−0.818674 + 0.574258i \(0.805291\pi\)
\(360\) 3.98814 1.65194i 0.210193 0.0870650i
\(361\) 15.3807i 0.809512i
\(362\) −0.350997 0.847383i −0.0184480 0.0445374i
\(363\) 13.9404 + 5.77429i 0.731679 + 0.303071i
\(364\) −0.169794 + 0.409919i −0.00889962 + 0.0214856i
\(365\) 6.41922 6.41922i 0.335997 0.335997i
\(366\) −1.06135 + 1.06135i −0.0554778 + 0.0554778i
\(367\) 3.31928 8.01345i 0.173265 0.418299i −0.813262 0.581898i \(-0.802310\pi\)
0.986527 + 0.163599i \(0.0523103\pi\)
\(368\) 9.76647 + 4.04541i 0.509113 + 0.210881i
\(369\) −0.253971 0.613139i −0.0132212 0.0319187i
\(370\) 1.75382i 0.0911766i
\(371\) −17.3260 + 7.17665i −0.899519 + 0.372593i
\(372\) 19.1787 + 19.1787i 0.994369 + 0.994369i
\(373\) −13.0426 −0.675321 −0.337661 0.941268i \(-0.609636\pi\)
−0.337661 + 0.941268i \(0.609636\pi\)
\(374\) −0.626865 0.690253i −0.0324144 0.0356921i
\(375\) 32.3019 1.66806
\(376\) 1.33787 + 1.33787i 0.0689952 + 0.0689952i
\(377\) 0.221418 0.0917145i 0.0114036 0.00472354i
\(378\) 2.36578i 0.121683i
\(379\) −9.66872 23.3424i −0.496649 1.19902i −0.951278 0.308336i \(-0.900228\pi\)
0.454629 0.890681i \(-0.349772\pi\)
\(380\) 23.8538 + 9.88058i 1.22368 + 0.506863i
\(381\) −15.9619 + 38.5355i −0.817754 + 1.97423i
\(382\) −0.908832 + 0.908832i −0.0464999 + 0.0464999i
\(383\) 13.2646 13.2646i 0.677791 0.677791i −0.281709 0.959500i \(-0.590901\pi\)
0.959500 + 0.281709i \(0.0909014\pi\)
\(384\) −3.27287 + 7.90141i −0.167018 + 0.403217i
\(385\) −19.6866 8.15445i −1.00332 0.415589i
\(386\) 0.388296 + 0.937429i 0.0197637 + 0.0477139i
\(387\) 5.17315i 0.262966i
\(388\) 5.17101 2.14190i 0.262518 0.108739i
\(389\) 20.3841 + 20.3841i 1.03351 + 1.03351i 0.999419 + 0.0340953i \(0.0108550\pi\)
0.0340953 + 0.999419i \(0.489145\pi\)
\(390\) −0.0330693 −0.00167453
\(391\) −11.0316 0.530909i −0.557891 0.0268492i
\(392\) 3.48029 0.175781
\(393\) 30.9605 + 30.9605i 1.56175 + 1.56175i
\(394\) −0.715785 + 0.296488i −0.0360607 + 0.0149368i
\(395\) 20.6739i 1.04022i
\(396\) −9.42880 22.7631i −0.473815 1.14389i
\(397\) −34.9856 14.4915i −1.75588 0.727308i −0.997112 0.0759428i \(-0.975803\pi\)
−0.758764 0.651365i \(-0.774197\pi\)
\(398\) −0.373660 + 0.902095i −0.0187299 + 0.0452179i
\(399\) 47.7436 47.7436i 2.39017 2.39017i
\(400\) −0.304082 + 0.304082i −0.0152041 + 0.0152041i
\(401\) −12.6048 + 30.4307i −0.629455 + 1.51964i 0.210847 + 0.977519i \(0.432378\pi\)
−0.840302 + 0.542119i \(0.817622\pi\)
\(402\) −3.68101 1.52472i −0.183592 0.0760463i
\(403\) −0.100882 0.243551i −0.00502529 0.0121321i
\(404\) 33.6783i 1.67556i
\(405\) −4.58102 + 1.89752i −0.227633 + 0.0942886i
\(406\) −1.16641 1.16641i −0.0578881 0.0578881i
\(407\) −20.0655 −0.994609
\(408\) 0.213796 4.44239i 0.0105845 0.219931i
\(409\) −24.8125 −1.22690 −0.613450 0.789734i \(-0.710219\pi\)
−0.613450 + 0.789734i \(0.710219\pi\)
\(410\) 0.0189664 + 0.0189664i 0.000936683 + 0.000936683i
\(411\) −27.7883 + 11.5103i −1.37070 + 0.567761i
\(412\) 24.7083i 1.21729i
\(413\) −14.1698 34.2088i −0.697248 1.68331i
\(414\) 1.21031 + 0.501327i 0.0594835 + 0.0246389i
\(415\) −8.30205 + 20.0429i −0.407532 + 0.983869i
\(416\) 0.0441168 0.0441168i 0.00216300 0.00216300i
\(417\) −12.3911 + 12.3911i −0.606797 + 0.606797i
\(418\) −0.507440 + 1.22507i −0.0248197 + 0.0599200i
\(419\) −9.50922 3.93885i −0.464556 0.192425i 0.138113 0.990416i \(-0.455896\pi\)
−0.602669 + 0.797991i \(0.705896\pi\)
\(420\) −19.4043 46.8461i −0.946832 2.28586i
\(421\) 13.3151i 0.648940i −0.945896 0.324470i \(-0.894814\pi\)
0.945896 0.324470i \(-0.105186\pi\)
\(422\) 0.378966 0.156973i 0.0184478 0.00764132i
\(423\) −18.3429 18.3429i −0.891864 0.891864i
\(424\) 1.75672 0.0853140
\(425\) 0.191689 0.406341i 0.00929827 0.0197104i
\(426\) −1.52410 −0.0738430
\(427\) 15.8173 + 15.8173i 0.765452 + 0.765452i
\(428\) 30.2196 12.5174i 1.46072 0.605049i
\(429\) 0.378348i 0.0182668i
\(430\) −0.0800112 0.193164i −0.00385848 0.00931520i
\(431\) 22.4897 + 9.31555i 1.08329 + 0.448714i 0.851663 0.524090i \(-0.175594\pi\)
0.231629 + 0.972804i \(0.425594\pi\)
\(432\) 9.38279 22.6521i 0.451430 1.08985i
\(433\) 7.05812 7.05812i 0.339192 0.339192i −0.516871 0.856063i \(-0.672904\pi\)
0.856063 + 0.516871i \(0.172904\pi\)
\(434\) −1.28301 + 1.28301i −0.0615862 + 0.0615862i
\(435\) −10.4813 + 25.3040i −0.502538 + 1.21323i
\(436\) 18.0791 + 7.48862i 0.865833 + 0.358640i
\(437\) 6.01053 + 14.5107i 0.287523 + 0.694141i
\(438\) 1.10944i 0.0530109i
\(439\) 31.6453 13.1079i 1.51035 0.625607i 0.534718 0.845030i \(-0.320418\pi\)
0.975630 + 0.219424i \(0.0704177\pi\)
\(440\) 1.41144 + 1.41144i 0.0672876 + 0.0672876i
\(441\) −47.7168 −2.27223
\(442\) −0.00920088 + 0.0195040i −0.000437641 + 0.000927709i
\(443\) −29.2614 −1.39025 −0.695127 0.718887i \(-0.744652\pi\)
−0.695127 + 0.718887i \(0.744652\pi\)
\(444\) −33.7628 33.7628i −1.60231 1.60231i
\(445\) 32.8814 13.6199i 1.55873 0.645646i
\(446\) 1.89611i 0.0897833i
\(447\) 10.5451 + 25.4581i 0.498765 + 1.20412i
\(448\) 28.9751 + 12.0019i 1.36894 + 0.567035i
\(449\) 10.3290 24.9365i 0.487458 1.17683i −0.468537 0.883444i \(-0.655219\pi\)
0.955995 0.293383i \(-0.0947812\pi\)
\(450\) −0.0376833 + 0.0376833i −0.00177641 + 0.00177641i
\(451\) 0.216995 0.216995i 0.0102179 0.0102179i
\(452\) 5.18864 12.5265i 0.244053 0.589196i
\(453\) −24.5777 10.1804i −1.15476 0.478318i
\(454\) 0.0182897 + 0.0441552i 0.000858378 + 0.00207231i
\(455\) 0.492831i 0.0231043i
\(456\) −5.84342 + 2.42042i −0.273643 + 0.113347i
\(457\) −12.7428 12.7428i −0.596085 0.596085i 0.343183 0.939268i \(-0.388495\pi\)
−0.939268 + 0.343183i \(0.888495\pi\)
\(458\) −1.60413 −0.0749560
\(459\) −1.23137 + 25.5863i −0.0574756 + 1.19427i
\(460\) 11.7951 0.549948
\(461\) 20.0369 + 20.0369i 0.933213 + 0.933213i 0.997905 0.0646918i \(-0.0206064\pi\)
−0.0646918 + 0.997905i \(0.520606\pi\)
\(462\) 2.40589 0.996552i 0.111932 0.0463638i
\(463\) 14.7905i 0.687373i 0.939084 + 0.343687i \(0.111676\pi\)
−0.939084 + 0.343687i \(0.888324\pi\)
\(464\) −6.54223 15.7943i −0.303715 0.733233i
\(465\) 27.8333 + 11.5289i 1.29074 + 0.534642i
\(466\) −0.202081 + 0.487867i −0.00936123 + 0.0226000i
\(467\) 8.75175 8.75175i 0.404982 0.404982i −0.475002 0.879985i \(-0.657553\pi\)
0.879985 + 0.475002i \(0.157553\pi\)
\(468\) −0.402944 + 0.402944i −0.0186261 + 0.0186261i
\(469\) −22.7229 + 54.8579i −1.04925 + 2.53310i
\(470\) 0.968623 + 0.401217i 0.0446792 + 0.0185067i
\(471\) 13.3576 + 32.2480i 0.615484 + 1.48591i
\(472\) 3.46852i 0.159652i
\(473\) −2.21000 + 0.915411i −0.101616 + 0.0420906i
\(474\) 1.78654 + 1.78654i 0.0820585 + 0.0820585i
\(475\) −0.638933 −0.0293163
\(476\) −33.0282 1.58953i −1.51385 0.0728558i
\(477\) −24.0857 −1.10281
\(478\) 0.103663 + 0.103663i 0.00474145 + 0.00474145i
\(479\) −2.52671 + 1.04660i −0.115448 + 0.0478203i −0.439660 0.898164i \(-0.644901\pi\)
0.324212 + 0.945985i \(0.394901\pi\)
\(480\) 7.13008i 0.325442i
\(481\) 0.177596 + 0.428754i 0.00809767 + 0.0195495i
\(482\) −1.35346 0.560623i −0.0616486 0.0255357i
\(483\) 11.8040 28.4973i 0.537099 1.29667i
\(484\) −7.43077 + 7.43077i −0.337762 + 0.337762i
\(485\) 4.39602 4.39602i 0.199613 0.199613i
\(486\) −0.442411 + 1.06807i −0.0200681 + 0.0484488i
\(487\) −32.7826 13.5790i −1.48552 0.615324i −0.515186 0.857079i \(-0.672277\pi\)
−0.970337 + 0.241755i \(0.922277\pi\)
\(488\) −0.801877 1.93590i −0.0362993 0.0876342i
\(489\) 27.1139i 1.22613i
\(490\) 1.78173 0.738018i 0.0804905 0.0333402i
\(491\) 15.5584 + 15.5584i 0.702142 + 0.702142i 0.964870 0.262728i \(-0.0846221\pi\)
−0.262728 + 0.964870i \(0.584622\pi\)
\(492\) 0.730244 0.0329219
\(493\) 12.0078 + 13.2221i 0.540806 + 0.595492i
\(494\) 0.0306682 0.00137983
\(495\) −19.3516 19.3516i −0.869790 0.869790i
\(496\) −17.3731 + 7.19617i −0.780074 + 0.323117i
\(497\) 22.7136i 1.01885i
\(498\) −1.01459 2.44944i −0.0454649 0.109762i
\(499\) −37.0432 15.3438i −1.65828 0.686882i −0.660336 0.750971i \(-0.729586\pi\)
−0.997944 + 0.0640885i \(0.979586\pi\)
\(500\) −8.60910 + 20.7842i −0.385011 + 0.929498i
\(501\) −8.02526 + 8.02526i −0.358542 + 0.358542i
\(502\) −1.81575 + 1.81575i −0.0810407 + 0.0810407i
\(503\) 11.7016 28.2502i 0.521750 1.25962i −0.415066 0.909791i \(-0.636241\pi\)
0.936815 0.349824i \(-0.113759\pi\)
\(504\) 7.26354 + 3.00866i 0.323544 + 0.134016i
\(505\) −14.3155 34.5606i −0.637030 1.53793i
\(506\) 0.605763i 0.0269294i
\(507\) −34.3282 + 14.2192i −1.52457 + 0.631497i
\(508\) −20.5410 20.5410i −0.911358 0.911358i
\(509\) 23.4192 1.03804 0.519018 0.854763i \(-0.326298\pi\)
0.519018 + 0.854763i \(0.326298\pi\)
\(510\) −0.832584 2.31961i −0.0368674 0.102714i
\(511\) 16.5339 0.731416
\(512\) −5.25278 5.25278i −0.232142 0.232142i
\(513\) 33.6557 13.9406i 1.48593 0.615494i
\(514\) 1.91669i 0.0845418i
\(515\) 10.5026 + 25.3556i 0.462801 + 1.11730i
\(516\) −5.25890 2.17831i −0.231510 0.0958947i
\(517\) 4.59034 11.0821i 0.201883 0.487388i
\(518\) 2.25864 2.25864i 0.0992390 0.0992390i
\(519\) 5.64947 5.64947i 0.247984 0.247984i
\(520\) 0.0176668 0.0426515i 0.000774742 0.00187039i
\(521\) −15.8085 6.54807i −0.692581 0.286876i 0.00849418 0.999964i \(-0.497296\pi\)
−0.701075 + 0.713088i \(0.747296\pi\)
\(522\) −0.810746 1.95731i −0.0354854 0.0856693i
\(523\) 1.86620i 0.0816031i 0.999167 + 0.0408015i \(0.0129911\pi\)
−0.999167 + 0.0408015i \(0.987009\pi\)
\(524\) −28.1727 + 11.6695i −1.23073 + 0.509785i
\(525\) 0.887270 + 0.887270i 0.0387236 + 0.0387236i
\(526\) 0.487144 0.0212405
\(527\) 14.5437 13.2081i 0.633534 0.575355i
\(528\) 26.9885 1.17452
\(529\) −11.1899 11.1899i −0.486516 0.486516i
\(530\) 0.899353 0.372524i 0.0390654 0.0161814i
\(531\) 47.5554i 2.06373i
\(532\) 17.9953 + 43.4446i 0.780197 + 1.88356i
\(533\) −0.00655727 0.00271611i −0.000284027 0.000117648i
\(534\) −1.66449 + 4.01842i −0.0720293 + 0.173894i
\(535\) 25.6906 25.6906i 1.11070 1.11070i
\(536\) 3.93306 3.93306i 0.169882 0.169882i
\(537\) 10.9960 26.5467i 0.474513 1.14558i
\(538\) −2.29781 0.951784i −0.0990656 0.0410343i
\(539\) −8.44369 20.3849i −0.363695 0.878039i
\(540\) 27.3571i 1.17726i
\(541\) −0.0550784 + 0.0228142i −0.00236801 + 0.000980860i −0.383867 0.923388i \(-0.625408\pi\)
0.381499 + 0.924369i \(0.375408\pi\)
\(542\) 2.04875 + 2.04875i 0.0880014 + 0.0880014i
\(543\) −27.7363 −1.19028
\(544\) 4.20525 + 1.98380i 0.180299 + 0.0850548i
\(545\) 21.7359 0.931063
\(546\) −0.0425881 0.0425881i −0.00182260 0.00182260i
\(547\) −14.1059 + 5.84287i −0.603127 + 0.249823i −0.663287 0.748366i \(-0.730839\pi\)
0.0601600 + 0.998189i \(0.480839\pi\)
\(548\) 20.9477i 0.894842i
\(549\) 10.9942 + 26.5424i 0.469221 + 1.13280i
\(550\) −0.0227667 0.00943029i −0.000970777 0.000402109i
\(551\) 9.72022 23.4667i 0.414095 0.999714i
\(552\) −2.04312 + 2.04312i −0.0869611 + 0.0869611i
\(553\) 26.6247 26.6247i 1.13220 1.13220i
\(554\) 0.479189 1.15686i 0.0203588 0.0491505i
\(555\) −48.9986 20.2959i −2.07987 0.861512i
\(556\) −4.67042 11.2754i −0.198070 0.478183i
\(557\) 10.1024i 0.428053i −0.976828 0.214026i \(-0.931342\pi\)
0.976828 0.214026i \(-0.0686578\pi\)
\(558\) −2.15296 + 0.891785i −0.0911421 + 0.0377523i
\(559\) 0.0391205 + 0.0391205i 0.00165462 + 0.00165462i
\(560\) 35.1549 1.48556
\(561\) −26.5388 + 9.52562i −1.12047 + 0.402172i
\(562\) −1.28782 −0.0543234
\(563\) 2.29689 + 2.29689i 0.0968022 + 0.0968022i 0.753849 0.657047i \(-0.228195\pi\)
−0.657047 + 0.753849i \(0.728195\pi\)
\(564\) 26.3708 10.9231i 1.11041 0.459947i
\(565\) 15.0602i 0.633585i
\(566\) −0.907939 2.19196i −0.0381635 0.0921349i
\(567\) −8.34335 3.45593i −0.350388 0.145135i
\(568\) 0.814231 1.96573i 0.0341644 0.0824801i
\(569\) 8.03530 8.03530i 0.336857 0.336857i −0.518326 0.855183i \(-0.673445\pi\)
0.855183 + 0.518326i \(0.173445\pi\)
\(570\) −2.47827 + 2.47827i −0.103803 + 0.103803i
\(571\) −3.45244 + 8.33493i −0.144480 + 0.348806i −0.979509 0.201400i \(-0.935451\pi\)
0.835029 + 0.550206i \(0.185451\pi\)
\(572\) −0.243442 0.100837i −0.0101788 0.00421621i
\(573\) 14.8738 + 35.9086i 0.621363 + 1.50010i
\(574\) 0.0488514i 0.00203902i
\(575\) −0.269668 + 0.111700i −0.0112459 + 0.00465821i
\(576\) 28.4821 + 28.4821i 1.18675 + 1.18675i
\(577\) −23.1592 −0.964131 −0.482065 0.876135i \(-0.660113\pi\)
−0.482065 + 0.876135i \(0.660113\pi\)
\(578\) −1.59973 0.154336i −0.0665402 0.00641954i
\(579\) 30.6837 1.27517
\(580\) −13.4880 13.4880i −0.560060 0.560060i
\(581\) −36.5039 + 15.1204i −1.51444 + 0.627300i
\(582\) 0.759767i 0.0314934i
\(583\) −4.26206 10.2895i −0.176517 0.426149i
\(584\) −1.43091 0.592701i −0.0592114 0.0245261i
\(585\) −0.242223 + 0.584777i −0.0100147 + 0.0241776i
\(586\) 1.55613 1.55613i 0.0642831 0.0642831i
\(587\) 25.8558 25.8558i 1.06718 1.06718i 0.0696089 0.997574i \(-0.477825\pi\)
0.997574 0.0696089i \(-0.0221751\pi\)
\(588\) 20.0926 48.5078i 0.828604 2.00043i
\(589\) −25.8123 10.6918i −1.06358 0.440549i
\(590\) 0.735522 + 1.77571i 0.0302809 + 0.0731047i
\(591\) 23.4289i 0.963735i
\(592\) 30.5841 12.6683i 1.25700 0.520666i
\(593\) 1.48459 + 1.48459i 0.0609649 + 0.0609649i 0.736932 0.675967i \(-0.236274\pi\)
−0.675967 + 0.736932i \(0.736274\pi\)
\(594\) 1.40499 0.0576474
\(595\) −34.5691 + 12.4080i −1.41719 + 0.508677i
\(596\) −19.1911 −0.786098
\(597\) 20.8788 + 20.8788i 0.854513 + 0.854513i
\(598\) 0.0129438 0.00536149i 0.000529311 0.000219248i
\(599\) 8.01874i 0.327637i −0.986491 0.163818i \(-0.947619\pi\)
0.986491 0.163818i \(-0.0523811\pi\)
\(600\) −0.0449813 0.108594i −0.00183635 0.00443335i
\(601\) 20.7931 + 8.61278i 0.848168 + 0.351323i 0.764069 0.645135i \(-0.223199\pi\)
0.0840993 + 0.996457i \(0.473199\pi\)
\(602\) 0.145723 0.351807i 0.00593923 0.0143386i
\(603\) −53.9245 + 53.9245i −2.19598 + 2.19598i
\(604\) 13.1009 13.1009i 0.533068 0.533068i
\(605\) −4.46687 + 10.7840i −0.181604 + 0.438431i
\(606\) 4.22364 + 1.74949i 0.171573 + 0.0710681i
\(607\) 6.07343 + 14.6625i 0.246513 + 0.595134i 0.997903 0.0647234i \(-0.0206165\pi\)
−0.751390 + 0.659858i \(0.770617\pi\)
\(608\) 6.61237i 0.268167i
\(609\) −46.0858 + 19.0894i −1.86749 + 0.773540i
\(610\) −0.821041 0.821041i −0.0332430 0.0332430i
\(611\) −0.277426 −0.0112235
\(612\) −38.4090 18.1192i −1.55259 0.732425i
\(613\) 48.6876 1.96647 0.983237 0.182334i \(-0.0583654\pi\)
0.983237 + 0.182334i \(0.0583654\pi\)
\(614\) 0.779181 + 0.779181i 0.0314452 + 0.0314452i
\(615\) 0.749374 0.310401i 0.0302177 0.0125166i
\(616\) 3.63541i 0.146475i
\(617\) 5.95187 + 14.3691i 0.239613 + 0.578477i 0.997243 0.0742073i \(-0.0236426\pi\)
−0.757630 + 0.652685i \(0.773643\pi\)
\(618\) −3.09869 1.28352i −0.124648 0.0516308i
\(619\) −9.58962 + 23.1514i −0.385439 + 0.930533i 0.605454 + 0.795881i \(0.292992\pi\)
−0.990893 + 0.134652i \(0.957008\pi\)
\(620\) −14.8363 + 14.8363i −0.595839 + 0.595839i
\(621\) 11.7675 11.7675i 0.472215 0.472215i
\(622\) 0.962231 2.32303i 0.0385820 0.0931451i
\(623\) 59.8864 + 24.8058i 2.39930 + 0.993822i
\(624\) −0.238870 0.576683i −0.00956244 0.0230858i
\(625\) 24.4433i 0.977731i
\(626\) −1.65928 + 0.687298i −0.0663183 + 0.0274700i
\(627\) 28.3540 + 28.3540i 1.13235 + 1.13235i
\(628\) −24.3096 −0.970058
\(629\) −25.6032 + 23.2520i −1.02087 + 0.927116i
\(630\) 4.35657 0.173570
\(631\) 28.8505 + 28.8505i 1.14852 + 1.14852i 0.986844 + 0.161676i \(0.0516901\pi\)
0.161676 + 0.986844i \(0.448310\pi\)
\(632\) −3.25864 + 1.34977i −0.129622 + 0.0536912i
\(633\) 12.4042i 0.493023i
\(634\) −0.968890 2.33911i −0.0384796 0.0928979i
\(635\) −29.8103 12.3478i −1.18299 0.490009i
\(636\) 10.1420 24.4849i 0.402156 0.970891i
\(637\) −0.360845 + 0.360845i −0.0142972 + 0.0142972i
\(638\) 0.692709 0.692709i 0.0274246 0.0274246i
\(639\) −11.1636 + 26.9513i −0.441625 + 1.06618i
\(640\) −6.11238 2.53183i −0.241613 0.100079i
\(641\) −16.0868 38.8371i −0.635392 1.53397i −0.832755 0.553641i \(-0.813238\pi\)
0.197363 0.980330i \(-0.436762\pi\)
\(642\) 4.44011i 0.175237i
\(643\) 6.01619 2.49199i 0.237255 0.0982744i −0.260888 0.965369i \(-0.584015\pi\)
0.498143 + 0.867095i \(0.334015\pi\)
\(644\) 15.1902 + 15.1902i 0.598577 + 0.598577i
\(645\) −6.32259 −0.248952
\(646\) 0.772130 + 2.15119i 0.0303791 + 0.0846373i
\(647\) 11.7937 0.463659 0.231830 0.972756i \(-0.425529\pi\)
0.231830 + 0.972756i \(0.425529\pi\)
\(648\) 0.598179 + 0.598179i 0.0234987 + 0.0234987i
\(649\) 20.3159 8.41513i 0.797470 0.330323i
\(650\) 0 0.000569939i 0 2.23549e-5i
\(651\) 20.9975 + 50.6924i 0.822956 + 1.98679i
\(652\) 17.4460 + 7.22639i 0.683240 + 0.283007i
\(653\) −15.3181 + 36.9812i −0.599444 + 1.44719i 0.274706 + 0.961528i \(0.411420\pi\)
−0.874150 + 0.485657i \(0.838580\pi\)
\(654\) −1.87831 + 1.87831i −0.0734478 + 0.0734478i
\(655\) −23.9504 + 23.9504i −0.935821 + 0.935821i
\(656\) −0.193747 + 0.467747i −0.00756455 + 0.0182624i
\(657\) 19.6186 + 8.12628i 0.765394 + 0.317036i
\(658\) 0.730730 + 1.76414i 0.0284868 + 0.0687733i
\(659\) 0.349527i 0.0136157i 0.999977 + 0.00680783i \(0.00216702\pi\)
−0.999977 + 0.00680783i \(0.997833\pi\)
\(660\) 27.8209 11.5238i 1.08293 0.448564i
\(661\) −23.6387 23.6387i −0.919439 0.919439i 0.0775499 0.996988i \(-0.475290\pi\)
−0.996988 + 0.0775499i \(0.975290\pi\)
\(662\) 0.0401454 0.00156030
\(663\) 0.438431 + 0.482764i 0.0170272 + 0.0187490i
\(664\) 3.70122 0.143635
\(665\) 36.9335 + 36.9335i 1.43222 + 1.43222i
\(666\) 3.79014 1.56993i 0.146865 0.0608334i
\(667\) 11.6036i 0.449295i
\(668\) −3.02485 7.30263i −0.117035 0.282547i
\(669\) 52.9740 + 21.9425i 2.04809 + 0.848347i
\(670\) 1.17950 2.84756i 0.0455679 0.110011i
\(671\) −9.39356 + 9.39356i −0.362634 + 0.362634i
\(672\) −9.18243 + 9.18243i −0.354220 + 0.354220i
\(673\) 10.8812 26.2694i 0.419438 1.01261i −0.563073 0.826407i \(-0.690381\pi\)
0.982511 0.186205i \(-0.0596190\pi\)
\(674\) 2.64587 + 1.09596i 0.101915 + 0.0422146i
\(675\) 0.259073 + 0.625459i 0.00997174 + 0.0240739i
\(676\) 25.8777i 0.995297i
\(677\) −14.9752 + 6.20291i −0.575542 + 0.238397i −0.651417 0.758720i \(-0.725825\pi\)
0.0758748 + 0.997117i \(0.475825\pi\)
\(678\) 1.30143 + 1.30143i 0.0499810 + 0.0499810i
\(679\) 11.3228 0.434528
\(680\) 3.43654 + 0.165388i 0.131785 + 0.00634234i
\(681\) 1.44528 0.0553831
\(682\) −0.761951 0.761951i −0.0291766 0.0291766i
\(683\) −10.9987 + 4.55580i −0.420853 + 0.174323i −0.583052 0.812435i \(-0.698141\pi\)
0.162199 + 0.986758i \(0.448141\pi\)
\(684\) 60.3946i 2.30924i
\(685\) −8.90413 21.4965i −0.340209 0.821338i
\(686\) 0.782394 + 0.324078i 0.0298720 + 0.0123734i
\(687\) −18.5636 + 44.8166i −0.708247 + 1.70986i
\(688\) 2.79056 2.79056i 0.106389 0.106389i
\(689\) −0.182141 + 0.182141i −0.00693903 + 0.00693903i
\(690\) −0.612718 + 1.47923i −0.0233258 + 0.0563134i
\(691\) 30.8530 + 12.7797i 1.17370 + 0.486163i 0.882415 0.470472i \(-0.155916\pi\)
0.291287 + 0.956636i \(0.405916\pi\)
\(692\) 2.12938 + 5.14077i 0.0809468 + 0.195423i
\(693\) 49.8437i 1.89340i
\(694\) −0.302169 + 0.125162i −0.0114702 + 0.00475110i
\(695\) −9.58554 9.58554i −0.363600 0.363600i
\(696\) 4.67275 0.177120
\(697\) 0.0254269 0.528336i 0.000963111 0.0200122i
\(698\) −0.459423 −0.0173894
\(699\) 11.2916 + 11.2916i 0.427087 + 0.427087i
\(700\) −0.807377 + 0.334426i −0.0305160 + 0.0126401i
\(701\) 25.4242i 0.960259i −0.877198 0.480129i \(-0.840590\pi\)
0.877198 0.480129i \(-0.159410\pi\)
\(702\) −0.0124353 0.0300214i −0.000469339 0.00113309i
\(703\) 45.4408 + 18.8222i 1.71383 + 0.709893i
\(704\) −7.12766 + 17.2077i −0.268634 + 0.648539i
\(705\) 22.4186 22.4186i 0.844333 0.844333i
\(706\) 1.64713 1.64713i 0.0619907 0.0619907i
\(707\) 26.0725 62.9446i 0.980558 2.36728i
\(708\) 48.3437 + 20.0246i 1.81687 + 0.752571i
\(709\) 3.17781 + 7.67192i 0.119345 + 0.288125i 0.972251 0.233940i \(-0.0751619\pi\)
−0.852906 + 0.522065i \(0.825162\pi\)
\(710\) 1.17902i 0.0442477i
\(711\) 44.6779 18.5062i 1.67555 0.694037i
\(712\) −4.29358 4.29358i −0.160909 0.160909i
\(713\) −12.7635 −0.477997
\(714\) 1.91506 4.05953i 0.0716693 0.151924i
\(715\) −0.292682 −0.0109457
\(716\) 14.1505 + 14.1505i 0.528828 + 0.528828i
\(717\) 4.09581 1.69654i 0.152961 0.0633584i
\(718\) 0.619159i 0.0231068i
\(719\) −4.65914 11.2482i −0.173757 0.419486i 0.812878 0.582434i \(-0.197900\pi\)
−0.986635 + 0.162948i \(0.947900\pi\)
\(720\) 41.7136 + 17.2784i 1.55458 + 0.643926i
\(721\) −19.1283 + 46.1797i −0.712374 + 1.71982i
\(722\) 1.02819 1.02819i 0.0382652 0.0382652i
\(723\) −31.3257 + 31.3257i −1.16501 + 1.16501i
\(724\) 7.39227 17.8465i 0.274732 0.663261i
\(725\) 0.436106 + 0.180641i 0.0161966 + 0.00670884i
\(726\) −0.545895 1.31791i −0.0202601 0.0489121i
\(727\) 8.82992i 0.327484i −0.986503 0.163742i \(-0.947644\pi\)
0.986503 0.163742i \(-0.0523564\pi\)
\(728\) 0.0776806 0.0321763i 0.00287903 0.00119253i
\(729\) 29.4765 + 29.4765i 1.09172 + 1.09172i
\(730\) −0.858238 −0.0317648
\(731\) −1.75913 + 3.72900i −0.0650639 + 0.137922i
\(732\) −31.6117 −1.16840
\(733\) 26.2091 + 26.2091i 0.968055 + 0.968055i 0.999505 0.0314499i \(-0.0100125\pi\)
−0.0314499 + 0.999505i \(0.510012\pi\)
\(734\) −0.757584 + 0.313801i −0.0279629 + 0.0115826i
\(735\) 58.3192i 2.15113i
\(736\) −1.15599 2.79081i −0.0426104 0.102871i
\(737\) −32.5790 13.4947i −1.20006 0.497082i
\(738\) −0.0240101 + 0.0579655i −0.000883824 + 0.00213374i
\(739\) −11.3299 + 11.3299i −0.416779 + 0.416779i −0.884092 0.467313i \(-0.845222\pi\)
0.467313 + 0.884092i \(0.345222\pi\)
\(740\) 26.1182 26.1182i 0.960124 0.960124i
\(741\) 0.354905 0.856816i 0.0130377 0.0314759i
\(742\) 1.63798 + 0.678473i 0.0601321 + 0.0249075i
\(743\) 12.3645 + 29.8506i 0.453610 + 1.09511i 0.970939 + 0.239326i \(0.0769264\pi\)
−0.517329 + 0.855787i \(0.673074\pi\)
\(744\) 5.13983i 0.188435i
\(745\) −19.6939 + 8.15746i −0.721527 + 0.298866i
\(746\) 0.871888 + 0.871888i 0.0319221 + 0.0319221i
\(747\) −50.7459 −1.85670
\(748\) 0.943987 19.6148i 0.0345156 0.717187i
\(749\) 66.1708 2.41783
\(750\) −2.15936 2.15936i −0.0788485 0.0788485i
\(751\) 16.3709 6.78107i 0.597384 0.247445i −0.0634396 0.997986i \(-0.520207\pi\)
0.660824 + 0.750541i \(0.270207\pi\)
\(752\) 19.7895i 0.721650i
\(753\) 29.7162 + 71.7413i 1.08292 + 2.61440i
\(754\) −0.0209327 0.00867060i −0.000762323 0.000315764i
\(755\) 7.87537 19.0128i 0.286614 0.691947i
\(756\) 35.2317 35.2317i 1.28136 1.28136i
\(757\) 32.7225 32.7225i 1.18932 1.18932i 0.212064 0.977256i \(-0.431981\pi\)
0.977256 0.212064i \(-0.0680186\pi\)
\(758\) −0.914071 + 2.20676i −0.0332006 + 0.0801532i
\(759\) 16.9240 + 7.01013i 0.614301 + 0.254452i
\(760\) −1.87239 4.52035i −0.0679188 0.163971i