Properties

Label 731.2.n.a.208.7
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.7
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.58

$q$-expansion

\(f(q)\) \(=\) \(q-2.28700i q^{2} +(1.18102 + 0.316454i) q^{3} -3.23035 q^{4} +(-0.126627 - 0.0339295i) q^{5} +(0.723730 - 2.70100i) q^{6} +(-4.66179 + 1.24912i) q^{7} +2.81381i q^{8} +(-1.30340 - 0.752519i) q^{9} +O(q^{10})\) \(q-2.28700i q^{2} +(1.18102 + 0.316454i) q^{3} -3.23035 q^{4} +(-0.126627 - 0.0339295i) q^{5} +(0.723730 - 2.70100i) q^{6} +(-4.66179 + 1.24912i) q^{7} +2.81381i q^{8} +(-1.30340 - 0.752519i) q^{9} +(-0.0775966 + 0.289595i) q^{10} +(4.02891 + 4.02891i) q^{11} +(-3.81512 - 1.02226i) q^{12} +(-3.19478 + 5.53352i) q^{13} +(2.85674 + 10.6615i) q^{14} +(-0.138812 - 0.0801431i) q^{15} -0.0255359 q^{16} +(1.31468 + 3.90789i) q^{17} +(-1.72101 + 2.98087i) q^{18} +(-2.72681 + 1.57433i) q^{19} +(0.409048 + 0.109604i) q^{20} -5.90098 q^{21} +(9.21411 - 9.21411i) q^{22} +(1.24482 - 4.64571i) q^{23} +(-0.890442 + 3.32317i) q^{24} +(-4.31524 - 2.49141i) q^{25} +(12.6551 + 7.30645i) q^{26} +(-3.89492 - 3.89492i) q^{27} +(15.0592 - 4.03511i) q^{28} +(-2.01987 - 7.53825i) q^{29} +(-0.183287 + 0.317462i) q^{30} +(2.23828 + 0.599745i) q^{31} +5.68601i q^{32} +(3.48328 + 6.03321i) q^{33} +(8.93733 - 3.00667i) q^{34} +0.632689 q^{35} +(4.21044 + 2.43090i) q^{36} +(-8.74117 - 2.34219i) q^{37} +(3.60048 + 6.23621i) q^{38} +(-5.52422 + 5.52422i) q^{39} +(0.0954711 - 0.356303i) q^{40} +(5.31793 + 5.31793i) q^{41} +13.4955i q^{42} +(-2.53194 + 6.04891i) q^{43} +(-13.0148 - 13.0148i) q^{44} +(0.139513 + 0.139513i) q^{45} +(-10.6247 - 2.84689i) q^{46} +1.76469 q^{47} +(-0.0301585 - 0.00808095i) q^{48} +(14.1098 - 8.14631i) q^{49} +(-5.69784 + 9.86895i) q^{50} +(0.316000 + 5.03135i) q^{51} +(10.3203 - 17.8752i) q^{52} +(1.36942 - 0.790636i) q^{53} +(-8.90767 + 8.90767i) q^{54} +(-0.373469 - 0.646867i) q^{55} +(-3.51479 - 13.1174i) q^{56} +(-3.71863 + 0.996405i) q^{57} +(-17.2400 + 4.61943i) q^{58} +1.73860i q^{59} +(0.448411 + 0.258890i) q^{60} +(2.45451 - 0.657683i) q^{61} +(1.37161 - 5.11894i) q^{62} +(7.01618 + 1.87998i) q^{63} +12.9528 q^{64} +(0.592294 - 0.592294i) q^{65} +(13.7979 - 7.96624i) q^{66} +(-1.59171 - 2.75692i) q^{67} +(-4.24688 - 12.6239i) q^{68} +(2.94031 - 5.09277i) q^{69} -1.44696i q^{70} +(0.911955 + 3.40346i) q^{71} +(2.11744 - 3.66752i) q^{72} +(1.65101 + 6.16164i) q^{73} +(-5.35658 + 19.9910i) q^{74} +(-4.30799 - 4.30799i) q^{75} +(8.80856 - 5.08562i) q^{76} +(-23.8146 - 13.7493i) q^{77} +(12.6339 + 12.6339i) q^{78} +(-10.3508 + 2.77350i) q^{79} +(0.00323352 + 0.000866420i) q^{80} +(-1.10987 - 1.92235i) q^{81} +(12.1621 - 12.1621i) q^{82} +(-1.91240 + 1.10412i) q^{83} +19.0622 q^{84} +(-0.0338807 - 0.539449i) q^{85} +(13.8338 + 5.79054i) q^{86} -9.54206i q^{87} +(-11.3366 + 11.3366i) q^{88} +(-2.42503 - 4.20028i) q^{89} +(0.319065 - 0.319065i) q^{90} +(7.98135 - 29.7868i) q^{91} +(-4.02119 + 15.0073i) q^{92} +(2.45367 + 1.41663i) q^{93} -4.03584i q^{94} +(0.398703 - 0.106832i) q^{95} +(-1.79936 + 6.71532i) q^{96} +(-10.3442 + 10.3442i) q^{97} +(-18.6306 - 32.2691i) q^{98} +(-2.21946 - 8.28313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.28700i 1.61715i −0.588393 0.808575i \(-0.700239\pi\)
0.588393 0.808575i \(-0.299761\pi\)
\(3\) 1.18102 + 0.316454i 0.681865 + 0.182705i 0.583093 0.812405i \(-0.301842\pi\)
0.0987712 + 0.995110i \(0.468509\pi\)
\(4\) −3.23035 −1.61518
\(5\) −0.126627 0.0339295i −0.0566291 0.0151737i 0.230393 0.973098i \(-0.425999\pi\)
−0.287022 + 0.957924i \(0.592665\pi\)
\(6\) 0.723730 2.70100i 0.295462 1.10268i
\(7\) −4.66179 + 1.24912i −1.76199 + 0.472124i −0.987118 0.159992i \(-0.948853\pi\)
−0.774873 + 0.632116i \(0.782186\pi\)
\(8\) 2.81381i 0.994831i
\(9\) −1.30340 0.752519i −0.434467 0.250840i
\(10\) −0.0775966 + 0.289595i −0.0245382 + 0.0915778i
\(11\) 4.02891 + 4.02891i 1.21476 + 1.21476i 0.969442 + 0.245321i \(0.0788935\pi\)
0.245321 + 0.969442i \(0.421107\pi\)
\(12\) −3.81512 1.02226i −1.10133 0.295101i
\(13\) −3.19478 + 5.53352i −0.886073 + 1.53472i −0.0415932 + 0.999135i \(0.513243\pi\)
−0.844479 + 0.535588i \(0.820090\pi\)
\(14\) 2.85674 + 10.6615i 0.763496 + 2.84941i
\(15\) −0.138812 0.0801431i −0.0358411 0.0206929i
\(16\) −0.0255359 −0.00638398
\(17\) 1.31468 + 3.90789i 0.318857 + 0.947803i
\(18\) −1.72101 + 2.98087i −0.405646 + 0.702599i
\(19\) −2.72681 + 1.57433i −0.625574 + 0.361175i −0.779036 0.626979i \(-0.784291\pi\)
0.153462 + 0.988155i \(0.450958\pi\)
\(20\) 0.409048 + 0.109604i 0.0914660 + 0.0245082i
\(21\) −5.90098 −1.28770
\(22\) 9.21411 9.21411i 1.96445 1.96445i
\(23\) 1.24482 4.64571i 0.259562 0.968698i −0.705934 0.708278i \(-0.749472\pi\)
0.965495 0.260420i \(-0.0838610\pi\)
\(24\) −0.890442 + 3.32317i −0.181761 + 0.678340i
\(25\) −4.31524 2.49141i −0.863049 0.498281i
\(26\) 12.6551 + 7.30645i 2.48188 + 1.43291i
\(27\) −3.89492 3.89492i −0.749578 0.749578i
\(28\) 15.0592 4.03511i 2.84593 0.762563i
\(29\) −2.01987 7.53825i −0.375080 1.39982i −0.853228 0.521539i \(-0.825358\pi\)
0.478147 0.878280i \(-0.341308\pi\)
\(30\) −0.183287 + 0.317462i −0.0334635 + 0.0579604i
\(31\) 2.23828 + 0.599745i 0.402007 + 0.107717i 0.454157 0.890922i \(-0.349941\pi\)
−0.0521498 + 0.998639i \(0.516607\pi\)
\(32\) 5.68601i 1.00515i
\(33\) 3.48328 + 6.03321i 0.606361 + 1.05025i
\(34\) 8.93733 3.00667i 1.53274 0.515639i
\(35\) 0.632689 0.106944
\(36\) 4.21044 + 2.43090i 0.701741 + 0.405150i
\(37\) −8.74117 2.34219i −1.43704 0.385053i −0.545543 0.838083i \(-0.683677\pi\)
−0.891496 + 0.453029i \(0.850343\pi\)
\(38\) 3.60048 + 6.23621i 0.584075 + 1.01165i
\(39\) −5.52422 + 5.52422i −0.884583 + 0.884583i
\(40\) 0.0954711 0.356303i 0.0150953 0.0563364i
\(41\) 5.31793 + 5.31793i 0.830521 + 0.830521i 0.987588 0.157067i \(-0.0502037\pi\)
−0.157067 + 0.987588i \(0.550204\pi\)
\(42\) 13.4955i 2.08240i
\(43\) −2.53194 + 6.04891i −0.386118 + 0.922450i
\(44\) −13.0148 13.0148i −1.96206 1.96206i
\(45\) 0.139513 + 0.139513i 0.0207973 + 0.0207973i
\(46\) −10.6247 2.84689i −1.56653 0.419751i
\(47\) 1.76469 0.257407 0.128703 0.991683i \(-0.458918\pi\)
0.128703 + 0.991683i \(0.458918\pi\)
\(48\) −0.0301585 0.00808095i −0.00435301 0.00116638i
\(49\) 14.1098 8.14631i 2.01569 1.16376i
\(50\) −5.69784 + 9.86895i −0.805796 + 1.39568i
\(51\) 0.316000 + 5.03135i 0.0442488 + 0.704530i
\(52\) 10.3203 17.8752i 1.43116 2.47885i
\(53\) 1.36942 0.790636i 0.188105 0.108602i −0.402990 0.915204i \(-0.632029\pi\)
0.591095 + 0.806602i \(0.298696\pi\)
\(54\) −8.90767 + 8.90767i −1.21218 + 1.21218i
\(55\) −0.373469 0.646867i −0.0503585 0.0872235i
\(56\) −3.51479 13.1174i −0.469684 1.75288i
\(57\) −3.71863 + 0.996405i −0.492545 + 0.131977i
\(58\) −17.2400 + 4.61943i −2.26372 + 0.606561i
\(59\) 1.73860i 0.226347i 0.993575 + 0.113173i \(0.0361015\pi\)
−0.993575 + 0.113173i \(0.963898\pi\)
\(60\) 0.448411 + 0.258890i 0.0578896 + 0.0334226i
\(61\) 2.45451 0.657683i 0.314267 0.0842077i −0.0982377 0.995163i \(-0.531321\pi\)
0.412505 + 0.910955i \(0.364654\pi\)
\(62\) 1.37161 5.11894i 0.174195 0.650105i
\(63\) 7.01618 + 1.87998i 0.883955 + 0.236855i
\(64\) 12.9528 1.61910
\(65\) 0.592294 0.592294i 0.0734650 0.0734650i
\(66\) 13.7979 7.96624i 1.69841 0.980576i
\(67\) −1.59171 2.75692i −0.194458 0.336811i 0.752265 0.658861i \(-0.228961\pi\)
−0.946723 + 0.322050i \(0.895628\pi\)
\(68\) −4.24688 12.6239i −0.515010 1.53087i
\(69\) 2.94031 5.09277i 0.353972 0.613098i
\(70\) 1.44696i 0.172944i
\(71\) 0.911955 + 3.40346i 0.108229 + 0.403917i 0.998691 0.0511403i \(-0.0162856\pi\)
−0.890462 + 0.455057i \(0.849619\pi\)
\(72\) 2.11744 3.66752i 0.249543 0.432221i
\(73\) 1.65101 + 6.16164i 0.193236 + 0.721166i 0.992716 + 0.120474i \(0.0384414\pi\)
−0.799481 + 0.600692i \(0.794892\pi\)
\(74\) −5.35658 + 19.9910i −0.622689 + 2.32391i
\(75\) −4.30799 4.30799i −0.497444 0.497444i
\(76\) 8.80856 5.08562i 1.01041 0.583361i
\(77\) −23.8146 13.7493i −2.71392 1.56688i
\(78\) 12.6339 + 12.6339i 1.43050 + 1.43050i
\(79\) −10.3508 + 2.77350i −1.16456 + 0.312043i −0.788785 0.614669i \(-0.789290\pi\)
−0.375774 + 0.926711i \(0.622623\pi\)
\(80\) 0.00323352 0.000866420i 0.000361519 9.68687e-5i
\(81\) −1.10987 1.92235i −0.123319 0.213595i
\(82\) 12.1621 12.1621i 1.34308 1.34308i
\(83\) −1.91240 + 1.10412i −0.209913 + 0.121193i −0.601271 0.799045i \(-0.705339\pi\)
0.391358 + 0.920238i \(0.372005\pi\)
\(84\) 19.0622 2.07986
\(85\) −0.0338807 0.539449i −0.00367488 0.0585115i
\(86\) 13.8338 + 5.79054i 1.49174 + 0.624410i
\(87\) 9.54206i 1.02302i
\(88\) −11.3366 + 11.3366i −1.20848 + 1.20848i
\(89\) −2.42503 4.20028i −0.257053 0.445228i 0.708398 0.705813i \(-0.249418\pi\)
−0.965451 + 0.260584i \(0.916085\pi\)
\(90\) 0.319065 0.319065i 0.0336324 0.0336324i
\(91\) 7.98135 29.7868i 0.836673 3.12250i
\(92\) −4.02119 + 15.0073i −0.419238 + 1.56462i
\(93\) 2.45367 + 1.41663i 0.254434 + 0.146897i
\(94\) 4.03584i 0.416265i
\(95\) 0.398703 0.106832i 0.0409061 0.0109607i
\(96\) −1.79936 + 6.71532i −0.183647 + 0.685380i
\(97\) −10.3442 + 10.3442i −1.05029 + 1.05029i −0.0516267 + 0.998666i \(0.516441\pi\)
−0.998666 + 0.0516267i \(0.983559\pi\)
\(98\) −18.6306 32.2691i −1.88197 3.25967i
\(99\) −2.21946 8.28313i −0.223064 0.832486i
\(100\) 13.9398 + 8.04812i 1.39398 + 0.804812i
\(101\) −3.91820 + 6.78653i −0.389876 + 0.675285i −0.992433 0.122791i \(-0.960815\pi\)
0.602557 + 0.798076i \(0.294149\pi\)
\(102\) 11.5067 0.722690i 1.13933 0.0715570i
\(103\) −1.38719 + 2.40268i −0.136684 + 0.236743i −0.926239 0.376936i \(-0.876978\pi\)
0.789556 + 0.613679i \(0.210311\pi\)
\(104\) −15.5703 8.98949i −1.52679 0.881492i
\(105\) 0.747221 + 0.200217i 0.0729213 + 0.0195392i
\(106\) −1.80818 3.13186i −0.175626 0.304193i
\(107\) 7.53524 7.53524i 0.728459 0.728459i −0.241853 0.970313i \(-0.577755\pi\)
0.970313 + 0.241853i \(0.0777553\pi\)
\(108\) 12.5820 + 12.5820i 1.21070 + 1.21070i
\(109\) −4.17085 + 15.5658i −0.399495 + 1.49094i 0.414491 + 0.910053i \(0.363960\pi\)
−0.813986 + 0.580884i \(0.802707\pi\)
\(110\) −1.47938 + 0.854121i −0.141053 + 0.0814373i
\(111\) −9.58233 5.53236i −0.909515 0.525109i
\(112\) 0.119043 0.0318975i 0.0112485 0.00301403i
\(113\) −7.29239 7.29239i −0.686010 0.686010i 0.275337 0.961348i \(-0.411210\pi\)
−0.961348 + 0.275337i \(0.911210\pi\)
\(114\) 2.27877 + 8.50450i 0.213427 + 0.796520i
\(115\) −0.315253 + 0.546035i −0.0293975 + 0.0509180i
\(116\) 6.52488 + 24.3512i 0.605820 + 2.26095i
\(117\) 8.32816 4.80827i 0.769939 0.444524i
\(118\) 3.97617 0.366036
\(119\) −11.0102 16.5756i −1.00930 1.51948i
\(120\) 0.225507 0.390590i 0.0205859 0.0356558i
\(121\) 21.4643i 1.95130i
\(122\) −1.50412 5.61345i −0.136177 0.508218i
\(123\) 4.59772 + 7.96349i 0.414563 + 0.718044i
\(124\) −7.23043 1.93739i −0.649311 0.173982i
\(125\) 0.925378 + 0.925378i 0.0827683 + 0.0827683i
\(126\) 4.29950 16.0460i 0.383030 1.42949i
\(127\) 10.5100i 0.932609i −0.884624 0.466304i \(-0.845585\pi\)
0.884624 0.466304i \(-0.154415\pi\)
\(128\) 18.2510i 1.61318i
\(129\) −4.90449 + 6.34266i −0.431816 + 0.558440i
\(130\) −1.35457 1.35457i −0.118804 0.118804i
\(131\) 2.81969 2.81969i 0.246357 0.246357i −0.573117 0.819474i \(-0.694266\pi\)
0.819474 + 0.573117i \(0.194266\pi\)
\(132\) −11.2522 19.4894i −0.979379 1.69633i
\(133\) 10.7453 10.7453i 0.931736 0.931736i
\(134\) −6.30506 + 3.64023i −0.544674 + 0.314468i
\(135\) 0.361048 + 0.625353i 0.0310740 + 0.0538218i
\(136\) −10.9961 + 3.69926i −0.942904 + 0.317209i
\(137\) 17.0478 1.45649 0.728244 0.685318i \(-0.240337\pi\)
0.728244 + 0.685318i \(0.240337\pi\)
\(138\) −11.6471 6.72448i −0.991471 0.572426i
\(139\) 11.2781 + 3.02197i 0.956600 + 0.256320i 0.703161 0.711031i \(-0.251771\pi\)
0.253439 + 0.967351i \(0.418438\pi\)
\(140\) −2.04381 −0.172733
\(141\) 2.08414 + 0.558445i 0.175517 + 0.0470295i
\(142\) 7.78370 2.08564i 0.653194 0.175023i
\(143\) −35.1656 + 9.42259i −2.94069 + 0.787956i
\(144\) 0.0332835 + 0.0192163i 0.00277363 + 0.00160135i
\(145\) 1.02308i 0.0849619i
\(146\) 14.0917 3.77585i 1.16623 0.312491i
\(147\) 19.2420 5.15587i 1.58705 0.425249i
\(148\) 28.2370 + 7.56609i 2.32107 + 0.621929i
\(149\) −0.514938 0.891898i −0.0421853 0.0730671i 0.844162 0.536088i \(-0.180099\pi\)
−0.886347 + 0.463021i \(0.846765\pi\)
\(150\) −9.85236 + 9.85236i −0.804442 + 0.804442i
\(151\) 10.3002i 0.838218i −0.907936 0.419109i \(-0.862342\pi\)
0.907936 0.419109i \(-0.137658\pi\)
\(152\) −4.42985 7.67272i −0.359308 0.622340i
\(153\) 1.22721 6.08287i 0.0992138 0.491771i
\(154\) −31.4447 + 54.4638i −2.53389 + 4.38882i
\(155\) −0.263077 0.151887i −0.0211308 0.0121999i
\(156\) 17.8452 17.8452i 1.42876 1.42876i
\(157\) −2.44259 + 4.23070i −0.194940 + 0.337646i −0.946881 0.321584i \(-0.895785\pi\)
0.751941 + 0.659231i \(0.229118\pi\)
\(158\) 6.34297 + 23.6723i 0.504620 + 1.88327i
\(159\) 1.86752 0.500401i 0.148104 0.0396844i
\(160\) 0.192924 0.720001i 0.0152520 0.0569211i
\(161\) 23.2123i 1.82938i
\(162\) −4.39642 + 2.53827i −0.345415 + 0.199426i
\(163\) −9.87176 + 2.64513i −0.773216 + 0.207183i −0.623792 0.781591i \(-0.714409\pi\)
−0.149424 + 0.988773i \(0.547742\pi\)
\(164\) −17.1788 17.1788i −1.34144 1.34144i
\(165\) −0.236372 0.882151i −0.0184015 0.0686754i
\(166\) 2.52512 + 4.37364i 0.195988 + 0.339461i
\(167\) −15.8421 4.24487i −1.22590 0.328478i −0.412915 0.910769i \(-0.635490\pi\)
−0.812980 + 0.582292i \(0.802156\pi\)
\(168\) 16.6042i 1.28104i
\(169\) −13.9132 24.0984i −1.07025 1.85373i
\(170\) −1.23372 + 0.0774851i −0.0946219 + 0.00594284i
\(171\) 4.73884 0.362388
\(172\) 8.17906 19.5401i 0.623647 1.48992i
\(173\) 1.09848 1.09848i 0.0835161 0.0835161i −0.664115 0.747631i \(-0.731191\pi\)
0.747631 + 0.664115i \(0.231191\pi\)
\(174\) −21.8226 −1.65437
\(175\) 23.2288 + 6.22415i 1.75594 + 0.470501i
\(176\) −0.102882 0.102882i −0.00775502 0.00775502i
\(177\) −0.550188 + 2.05333i −0.0413547 + 0.154338i
\(178\) −9.60602 + 5.54604i −0.720001 + 0.415693i
\(179\) −5.86888 3.38840i −0.438661 0.253261i 0.264369 0.964422i \(-0.414836\pi\)
−0.703029 + 0.711161i \(0.748170\pi\)
\(180\) −0.450675 0.450675i −0.0335913 0.0335913i
\(181\) −1.20821 + 0.323740i −0.0898058 + 0.0240634i −0.303442 0.952850i \(-0.598136\pi\)
0.213636 + 0.976913i \(0.431469\pi\)
\(182\) −68.1223 18.2533i −5.04956 1.35303i
\(183\) 3.10696 0.229673
\(184\) 13.0721 + 3.50267i 0.963691 + 0.258220i
\(185\) 1.02740 + 0.593167i 0.0755356 + 0.0436105i
\(186\) 3.23982 5.61153i 0.237555 0.411458i
\(187\) −10.4478 + 21.0413i −0.764020 + 1.53869i
\(188\) −5.70057 −0.415757
\(189\) 23.0225 + 13.2921i 1.67464 + 0.966856i
\(190\) −0.244325 0.911832i −0.0177252 0.0661513i
\(191\) −1.95836 3.39198i −0.141702 0.245435i 0.786436 0.617672i \(-0.211924\pi\)
−0.928138 + 0.372237i \(0.878591\pi\)
\(192\) 15.2976 + 4.09898i 1.10401 + 0.295818i
\(193\) 16.6725 + 16.6725i 1.20011 + 1.20011i 0.974132 + 0.225979i \(0.0725582\pi\)
0.225979 + 0.974132i \(0.427442\pi\)
\(194\) 23.6571 + 23.6571i 1.69848 + 1.69848i
\(195\) 0.886947 0.512079i 0.0635156 0.0366708i
\(196\) −45.5797 + 26.3154i −3.25569 + 1.87967i
\(197\) −0.334062 + 0.0895117i −0.0238010 + 0.00637745i −0.270700 0.962664i \(-0.587255\pi\)
0.246899 + 0.969041i \(0.420588\pi\)
\(198\) −18.9435 + 5.07589i −1.34625 + 0.360728i
\(199\) −3.21368 + 3.21368i −0.227811 + 0.227811i −0.811778 0.583966i \(-0.801500\pi\)
0.583966 + 0.811778i \(0.301500\pi\)
\(200\) 7.01034 12.1423i 0.495706 0.858588i
\(201\) −1.00741 3.75969i −0.0710569 0.265188i
\(202\) 15.5208 + 8.96092i 1.09204 + 0.630488i
\(203\) 18.8324 + 32.6187i 1.32178 + 2.28938i
\(204\) −1.02079 16.2530i −0.0714696 1.13794i
\(205\) −0.492957 0.853826i −0.0344296 0.0596338i
\(206\) 5.49492 + 3.17249i 0.382849 + 0.221038i
\(207\) −5.11848 + 5.11848i −0.355759 + 0.355759i
\(208\) 0.0815816 0.141303i 0.00565667 0.00979763i
\(209\) −17.3289 4.64327i −1.19867 0.321182i
\(210\) 0.457896 1.70889i 0.0315978 0.117925i
\(211\) −2.42524 2.42524i −0.166960 0.166960i 0.618682 0.785642i \(-0.287667\pi\)
−0.785642 + 0.618682i \(0.787667\pi\)
\(212\) −4.42371 + 2.55403i −0.303822 + 0.175412i
\(213\) 4.30816i 0.295190i
\(214\) −17.2331 17.2331i −1.17803 1.17803i
\(215\) 0.525848 0.680045i 0.0358625 0.0463787i
\(216\) 10.9596 10.9596i 0.745703 0.745703i
\(217\) −11.1835 −0.759189
\(218\) 35.5990 + 9.53873i 2.41107 + 0.646044i
\(219\) 7.79952i 0.527043i
\(220\) 1.20643 + 2.08961i 0.0813378 + 0.140881i
\(221\) −25.8245 5.21004i −1.73714 0.350465i
\(222\) −12.6525 + 21.9148i −0.849180 + 1.47082i
\(223\) 8.68643i 0.581687i −0.956771 0.290843i \(-0.906064\pi\)
0.956771 0.290843i \(-0.0939358\pi\)
\(224\) −7.10253 26.5070i −0.474558 1.77107i
\(225\) 3.74966 + 6.49461i 0.249978 + 0.432974i
\(226\) −16.6777 + 16.6777i −1.10938 + 1.10938i
\(227\) −3.95274 + 14.7518i −0.262353 + 0.979114i 0.701498 + 0.712671i \(0.252515\pi\)
−0.963851 + 0.266443i \(0.914152\pi\)
\(228\) 12.0125 3.21874i 0.795547 0.213166i
\(229\) 24.5303 + 14.1626i 1.62101 + 0.935890i 0.986651 + 0.162850i \(0.0520686\pi\)
0.634357 + 0.773040i \(0.281265\pi\)
\(230\) 1.24878 + 0.720983i 0.0823421 + 0.0475402i
\(231\) −23.7745 23.7745i −1.56425 1.56425i
\(232\) 21.2112 5.68352i 1.39258 0.373141i
\(233\) −1.47763 5.51460i −0.0968029 0.361273i 0.900484 0.434890i \(-0.143213\pi\)
−0.997287 + 0.0736163i \(0.976546\pi\)
\(234\) −10.9965 19.0465i −0.718863 1.24511i
\(235\) −0.223457 0.0598751i −0.0145767 0.00390582i
\(236\) 5.61629i 0.365589i
\(237\) −13.1023 −0.851083
\(238\) −37.9083 + 25.1803i −2.45723 + 1.63220i
\(239\) 3.50855 + 6.07699i 0.226949 + 0.393088i 0.956902 0.290409i \(-0.0937915\pi\)
−0.729953 + 0.683497i \(0.760458\pi\)
\(240\) 0.00354469 + 0.00204653i 0.000228809 + 0.000132103i
\(241\) −1.23472 4.60804i −0.0795354 0.296830i 0.914688 0.404161i \(-0.132436\pi\)
−0.994223 + 0.107331i \(0.965770\pi\)
\(242\) 49.0888 3.15554
\(243\) 3.57447 + 13.3401i 0.229302 + 0.855768i
\(244\) −7.92892 + 2.12455i −0.507597 + 0.136010i
\(245\) −2.06308 + 0.552800i −0.131805 + 0.0353171i
\(246\) 18.2125 10.5150i 1.16118 0.670410i
\(247\) 20.1185i 1.28011i
\(248\) −1.68757 + 6.29809i −0.107161 + 0.399929i
\(249\) −2.60799 + 0.698809i −0.165275 + 0.0442852i
\(250\) 2.11634 2.11634i 0.133849 0.133849i
\(251\) −1.90643 + 3.30204i −0.120333 + 0.208423i −0.919899 0.392155i \(-0.871730\pi\)
0.799566 + 0.600578i \(0.205063\pi\)
\(252\) −22.6647 6.07299i −1.42774 0.382562i
\(253\) 23.7324 13.7019i 1.49205 0.861433i
\(254\) −24.0363 −1.50817
\(255\) 0.130697 0.647825i 0.00818458 0.0405683i
\(256\) −15.8344 −0.989648
\(257\) 15.0599i 0.939413i 0.882823 + 0.469707i \(0.155640\pi\)
−0.882823 + 0.469707i \(0.844360\pi\)
\(258\) 14.5056 + 11.2165i 0.903082 + 0.698312i
\(259\) 43.6752 2.71384
\(260\) −1.91332 + 1.91332i −0.118659 + 0.118659i
\(261\) −3.03998 + 11.3454i −0.188170 + 0.702260i
\(262\) −6.44861 6.44861i −0.398396 0.398396i
\(263\) 4.58176 2.64528i 0.282523 0.163115i −0.352042 0.935984i \(-0.614513\pi\)
0.634565 + 0.772869i \(0.281179\pi\)
\(264\) −16.9763 + 9.80127i −1.04482 + 0.603226i
\(265\) −0.200231 + 0.0536518i −0.0123001 + 0.00329580i
\(266\) −24.5745 24.5745i −1.50676 1.50676i
\(267\) −1.53482 5.72804i −0.0939297 0.350550i
\(268\) 5.14177 + 8.90581i 0.314084 + 0.544009i
\(269\) 19.8867 19.8867i 1.21252 1.21252i 0.242320 0.970196i \(-0.422092\pi\)
0.970196 0.242320i \(-0.0779083\pi\)
\(270\) 1.43018 0.825715i 0.0870380 0.0502514i
\(271\) 4.81145 8.33367i 0.292274 0.506234i −0.682073 0.731284i \(-0.738921\pi\)
0.974347 + 0.225050i \(0.0722546\pi\)
\(272\) −0.0335716 0.0997915i −0.00203557 0.00605075i
\(273\) 18.8523 32.6532i 1.14099 1.97626i
\(274\) 38.9882i 2.35536i
\(275\) −7.34808 27.4234i −0.443106 1.65369i
\(276\) −9.49824 + 16.4514i −0.571727 + 0.990260i
\(277\) −6.16918 1.65303i −0.370670 0.0993207i 0.0686751 0.997639i \(-0.478123\pi\)
−0.439345 + 0.898318i \(0.644789\pi\)
\(278\) 6.91124 25.7931i 0.414508 1.54697i
\(279\) −2.46606 2.46606i −0.147639 0.147639i
\(280\) 1.78026i 0.106391i
\(281\) −1.52486 + 0.880376i −0.0909653 + 0.0525189i −0.544793 0.838571i \(-0.683392\pi\)
0.453827 + 0.891090i \(0.350058\pi\)
\(282\) 1.27716 4.76643i 0.0760538 0.283837i
\(283\) 9.18935 2.46228i 0.546250 0.146367i 0.0248682 0.999691i \(-0.492083\pi\)
0.521382 + 0.853323i \(0.325417\pi\)
\(284\) −2.94593 10.9944i −0.174809 0.652396i
\(285\) 0.504686 0.0298950
\(286\) 21.5494 + 80.4235i 1.27424 + 4.75554i
\(287\) −31.4338 18.1483i −1.85548 1.07126i
\(288\) 4.27884 7.41116i 0.252133 0.436707i
\(289\) −13.5432 + 10.2753i −0.796661 + 0.604427i
\(290\) 2.33977 0.137396
\(291\) −15.4902 + 8.94327i −0.908052 + 0.524264i
\(292\) −5.33333 19.9043i −0.312110 1.16481i
\(293\) 10.0780 0.588761 0.294380 0.955688i \(-0.404887\pi\)
0.294380 + 0.955688i \(0.404887\pi\)
\(294\) −11.7915 44.0063i −0.687692 2.56650i
\(295\) 0.0589898 0.220153i 0.00343452 0.0128178i
\(296\) 6.59047 24.5960i 0.383063 1.42961i
\(297\) 31.3846i 1.82112i
\(298\) −2.03977 + 1.17766i −0.118161 + 0.0682200i
\(299\) 21.7302 + 21.7302i 1.25669 + 1.25669i
\(300\) 13.9163 + 13.9163i 0.803459 + 0.803459i
\(301\) 4.24756 31.3614i 0.244825 1.80764i
\(302\) −23.5565 −1.35552
\(303\) −6.77512 + 6.77512i −0.389221 + 0.389221i
\(304\) 0.0696316 0.0402018i 0.00399365 0.00230573i
\(305\) −0.333121 −0.0190744
\(306\) −13.9115 2.80662i −0.795268 0.160444i
\(307\) −10.0508 17.4085i −0.573631 0.993557i −0.996189 0.0872215i \(-0.972201\pi\)
0.422558 0.906336i \(-0.361132\pi\)
\(308\) 76.9294 + 44.4152i 4.38346 + 2.53079i
\(309\) −2.39864 + 2.39864i −0.136454 + 0.136454i
\(310\) −0.347366 + 0.601655i −0.0197291 + 0.0341717i
\(311\) 5.01253 + 1.34310i 0.284234 + 0.0761604i 0.398120 0.917334i \(-0.369663\pi\)
−0.113885 + 0.993494i \(0.536330\pi\)
\(312\) −15.5441 15.5441i −0.880011 0.880011i
\(313\) −5.35131 + 19.9714i −0.302474 + 1.12885i 0.632624 + 0.774459i \(0.281978\pi\)
−0.935098 + 0.354389i \(0.884689\pi\)
\(314\) 9.67559 + 5.58620i 0.546025 + 0.315248i
\(315\) −0.824648 0.476111i −0.0464636 0.0268258i
\(316\) 33.4368 8.95936i 1.88097 0.504004i
\(317\) −6.25577 6.25577i −0.351359 0.351359i 0.509256 0.860615i \(-0.329921\pi\)
−0.860615 + 0.509256i \(0.829921\pi\)
\(318\) −1.14441 4.27101i −0.0641756 0.239507i
\(319\) 22.2331 38.5088i 1.24481 2.15608i
\(320\) −1.64017 0.439483i −0.0916884 0.0245678i
\(321\) 11.2839 6.51474i 0.629804 0.363618i
\(322\) 53.0864 2.95839
\(323\) −9.73718 8.58635i −0.541791 0.477757i
\(324\) 3.58528 + 6.20988i 0.199182 + 0.344993i
\(325\) 27.5725 15.9190i 1.52945 0.883027i
\(326\) 6.04940 + 22.5767i 0.335045 + 1.25041i
\(327\) −9.85176 + 17.0638i −0.544804 + 0.943628i
\(328\) −14.9636 + 14.9636i −0.826228 + 0.826228i
\(329\) −8.22662 + 2.20432i −0.453549 + 0.121528i
\(330\) −2.01748 + 0.540581i −0.111058 + 0.0297580i
\(331\) 13.0725 + 7.54739i 0.718527 + 0.414842i 0.814210 0.580570i \(-0.197170\pi\)
−0.0956830 + 0.995412i \(0.530504\pi\)
\(332\) 6.17771 3.56670i 0.339046 0.195748i
\(333\) 9.63071 + 9.63071i 0.527760 + 0.527760i
\(334\) −9.70799 + 36.2307i −0.531198 + 1.98246i
\(335\) 0.108012 + 0.403105i 0.00590131 + 0.0220240i
\(336\) 0.150687 0.00822064
\(337\) 6.92041 + 25.8273i 0.376978 + 1.40690i 0.850432 + 0.526084i \(0.176340\pi\)
−0.473454 + 0.880819i \(0.656993\pi\)
\(338\) −55.1130 + 31.8195i −2.99775 + 1.73075i
\(339\) −6.30478 10.9202i −0.342429 0.593104i
\(340\) 0.109447 + 1.74261i 0.00593558 + 0.0945063i
\(341\) 6.60151 + 11.4342i 0.357492 + 0.619194i
\(342\) 10.8377i 0.586036i
\(343\) −31.7126 + 31.7126i −1.71232 + 1.71232i
\(344\) −17.0205 7.12440i −0.917681 0.384122i
\(345\) −0.545117 + 0.545117i −0.0293481 + 0.0293481i
\(346\) −2.51222 2.51222i −0.135058 0.135058i
\(347\) −0.593228 + 2.21396i −0.0318462 + 0.118851i −0.980019 0.198903i \(-0.936262\pi\)
0.948173 + 0.317755i \(0.102929\pi\)
\(348\) 30.8242i 1.65235i
\(349\) 23.1497 13.3655i 1.23917 0.715437i 0.270248 0.962791i \(-0.412894\pi\)
0.968925 + 0.247354i \(0.0795610\pi\)
\(350\) 14.2346 53.1243i 0.760872 2.83961i
\(351\) 33.9960 9.10921i 1.81457 0.486214i
\(352\) −22.9085 + 22.9085i −1.22103 + 1.22103i
\(353\) 1.91236 3.31231i 0.101785 0.176296i −0.810635 0.585551i \(-0.800878\pi\)
0.912420 + 0.409255i \(0.134211\pi\)
\(354\) 4.69596 + 1.25828i 0.249587 + 0.0668767i
\(355\) 0.461911i 0.0245157i
\(356\) 7.83370 + 13.5684i 0.415185 + 0.719122i
\(357\) −7.75790 23.0604i −0.410592 1.22049i
\(358\) −7.74926 + 13.4221i −0.409561 + 0.709381i
\(359\) 14.3248 + 8.27041i 0.756032 + 0.436495i 0.827869 0.560921i \(-0.189553\pi\)
−0.0718371 + 0.997416i \(0.522886\pi\)
\(360\) −0.392562 + 0.392562i −0.0206898 + 0.0206898i
\(361\) −4.54300 + 7.86870i −0.239105 + 0.414142i
\(362\) 0.740392 + 2.76318i 0.0389141 + 0.145230i
\(363\) −6.79247 + 25.3498i −0.356512 + 1.33052i
\(364\) −25.7826 + 96.2218i −1.35137 + 5.04339i
\(365\) 0.836246i 0.0437711i
\(366\) 7.10560i 0.371416i
\(367\) −9.22991 + 34.4465i −0.481797 + 1.79809i 0.112271 + 0.993678i \(0.464188\pi\)
−0.594068 + 0.804415i \(0.702479\pi\)
\(368\) −0.0317875 + 0.118632i −0.00165704 + 0.00618415i
\(369\) −2.92955 10.9332i −0.152507 0.569162i
\(370\) 1.35657 2.34965i 0.0705247 0.122152i
\(371\) −5.39636 + 5.39636i −0.280165 + 0.280165i
\(372\) −7.92621 4.57620i −0.410955 0.237265i
\(373\) −8.41170 + 14.5695i −0.435541 + 0.754380i −0.997340 0.0728943i \(-0.976776\pi\)
0.561798 + 0.827274i \(0.310110\pi\)
\(374\) 48.1214 + 23.8941i 2.48830 + 1.23554i
\(375\) 0.800054 + 1.38573i 0.0413146 + 0.0715590i
\(376\) 4.96550i 0.256076i
\(377\) 48.1661 + 12.9061i 2.48068 + 0.664697i
\(378\) 30.3989 52.6525i 1.56355 2.70815i
\(379\) 6.03035 6.03035i 0.309758 0.309758i −0.535057 0.844816i \(-0.679710\pi\)
0.844816 + 0.535057i \(0.179710\pi\)
\(380\) −1.28795 + 0.345105i −0.0660705 + 0.0177035i
\(381\) 3.32593 12.4125i 0.170392 0.635913i
\(382\) −7.75744 + 4.47876i −0.396905 + 0.229153i
\(383\) 17.0011i 0.868718i 0.900740 + 0.434359i \(0.143025\pi\)
−0.900740 + 0.434359i \(0.856975\pi\)
\(384\) 5.77562 21.5549i 0.294736 1.09997i
\(385\) 2.54905 + 2.54905i 0.129912 + 0.129912i
\(386\) 38.1299 38.1299i 1.94076 1.94076i
\(387\) 7.85206 5.97882i 0.399142 0.303920i
\(388\) 33.4154 33.4154i 1.69641 1.69641i
\(389\) 32.2267i 1.63396i 0.576668 + 0.816979i \(0.304353\pi\)
−0.576668 + 0.816979i \(0.695647\pi\)
\(390\) −1.17112 2.02844i −0.0593021 0.102714i
\(391\) 19.7915 1.24303i 1.00090 0.0628625i
\(392\) 22.9221 + 39.7023i 1.15774 + 2.00527i
\(393\) 4.22242 2.43782i 0.212993 0.122972i
\(394\) 0.204713 + 0.763999i 0.0103133 + 0.0384897i
\(395\) 1.40479 0.0706828
\(396\) 7.16963 + 26.7574i 0.360287 + 1.34461i
\(397\) 0.520919 1.94409i 0.0261442 0.0975713i −0.951621 0.307274i \(-0.900583\pi\)
0.977765 + 0.209703i \(0.0672497\pi\)
\(398\) 7.34966 + 7.34966i 0.368405 + 0.368405i
\(399\) 16.0909 9.29007i 0.805551 0.465085i
\(400\) 0.110194 + 0.0636203i 0.00550968 + 0.00318102i
\(401\) 21.1434 5.66537i 1.05585 0.282915i 0.311184 0.950350i \(-0.399274\pi\)
0.744668 + 0.667435i \(0.232608\pi\)
\(402\) −8.59839 + 2.30393i −0.428849 + 0.114910i
\(403\) −10.4695 + 10.4695i −0.521524 + 0.521524i
\(404\) 12.6572 21.9229i 0.629718 1.09070i
\(405\) 0.0753148 + 0.281079i 0.00374242 + 0.0139669i
\(406\) 74.5988 43.0697i 3.70228 2.13751i
\(407\) −25.7809 44.6539i −1.27791 2.21341i
\(408\) −14.1573 + 0.889162i −0.700888 + 0.0440201i
\(409\) −20.8937 −1.03313 −0.516564 0.856249i \(-0.672789\pi\)
−0.516564 + 0.856249i \(0.672789\pi\)
\(410\) −1.95270 + 1.12739i −0.0964369 + 0.0556778i
\(411\) 20.1338 + 5.39484i 0.993128 + 0.266108i
\(412\) 4.48110 7.76150i 0.220768 0.382381i
\(413\) −2.17173 8.10499i −0.106864 0.398821i
\(414\) 11.7059 + 11.7059i 0.575316 + 0.575316i
\(415\) 0.279623 0.0749247i 0.0137261 0.00367791i
\(416\) −31.4637 18.1656i −1.54263 0.890640i
\(417\) 12.3635 + 7.13804i 0.605441 + 0.349551i
\(418\) −10.6191 + 39.6312i −0.519399 + 1.93842i
\(419\) −22.3007 22.3007i −1.08946 1.08946i −0.995584 0.0938751i \(-0.970075\pi\)
−0.0938751 0.995584i \(-0.529925\pi\)
\(420\) −2.41379 0.646772i −0.117781 0.0315592i
\(421\) 5.99203 10.3785i 0.292033 0.505817i −0.682257 0.731112i \(-0.739001\pi\)
0.974290 + 0.225296i \(0.0723348\pi\)
\(422\) −5.54651 + 5.54651i −0.270000 + 0.270000i
\(423\) −2.30010 1.32796i −0.111835 0.0645678i
\(424\) 2.22470 + 3.85329i 0.108041 + 0.187132i
\(425\) 4.06298 20.1389i 0.197084 0.976881i
\(426\) 9.85275 0.477367
\(427\) −10.6209 + 6.13197i −0.513980 + 0.296747i
\(428\) −24.3415 + 24.3415i −1.17659 + 1.17659i
\(429\) −44.5132 −2.14912
\(430\) −1.55526 1.20261i −0.0750013 0.0579951i
\(431\) −20.6259 20.6259i −0.993516 0.993516i 0.00646347 0.999979i \(-0.497943\pi\)
−0.999979 + 0.00646347i \(0.997943\pi\)
\(432\) 0.0994603 + 0.0994603i 0.00478529 + 0.00478529i
\(433\) −15.1355 + 8.73851i −0.727368 + 0.419946i −0.817458 0.575988i \(-0.804618\pi\)
0.0900906 + 0.995934i \(0.471284\pi\)
\(434\) 25.5767i 1.22772i
\(435\) −0.323757 + 1.20828i −0.0155230 + 0.0579325i
\(436\) 13.4733 50.2831i 0.645255 2.40813i
\(437\) 3.91949 + 14.6277i 0.187495 + 0.699739i
\(438\) 17.8375 0.852307
\(439\) −8.61841 32.1643i −0.411334 1.53512i −0.792066 0.610435i \(-0.790995\pi\)
0.380732 0.924685i \(-0.375672\pi\)
\(440\) 1.82016 1.05087i 0.0867726 0.0500982i
\(441\) −24.5210 −1.16767
\(442\) −11.9153 + 59.0606i −0.566755 + 2.80922i
\(443\) 7.97447 13.8122i 0.378878 0.656237i −0.612021 0.790842i \(-0.709643\pi\)
0.990899 + 0.134605i \(0.0429765\pi\)
\(444\) 30.9543 + 17.8715i 1.46903 + 0.848143i
\(445\) 0.164560 + 0.614147i 0.00780090 + 0.0291134i
\(446\) −19.8658 −0.940675
\(447\) −0.325909 1.21631i −0.0154150 0.0575294i
\(448\) −60.3834 + 16.1797i −2.85285 + 0.764418i
\(449\) 0.854472 3.18893i 0.0403250 0.150495i −0.942828 0.333280i \(-0.891845\pi\)
0.983153 + 0.182785i \(0.0585112\pi\)
\(450\) 14.8531 8.57547i 0.700184 0.404251i
\(451\) 42.8510i 2.01777i
\(452\) 23.5570 + 23.5570i 1.10803 + 1.10803i
\(453\) 3.25954 12.1648i 0.153147 0.571551i
\(454\) 33.7374 + 9.03991i 1.58337 + 0.424264i
\(455\) −2.02130 + 3.50100i −0.0947601 + 0.164129i
\(456\) −2.80369 10.4635i −0.131295 0.489999i
\(457\) 31.5894i 1.47769i 0.673877 + 0.738844i \(0.264628\pi\)
−0.673877 + 0.738844i \(0.735372\pi\)
\(458\) 32.3898 56.1007i 1.51347 2.62141i
\(459\) 10.1003 20.3415i 0.471444 0.949460i
\(460\) 1.01838 1.76388i 0.0474822 0.0822415i
\(461\) −16.1290 + 9.31207i −0.751202 + 0.433706i −0.826128 0.563483i \(-0.809461\pi\)
0.0749263 + 0.997189i \(0.476128\pi\)
\(462\) −54.3723 + 54.3723i −2.52963 + 2.52963i
\(463\) −10.7166 18.5616i −0.498041 0.862632i 0.501957 0.864893i \(-0.332614\pi\)
−0.999997 + 0.00226107i \(0.999280\pi\)
\(464\) 0.0515792 + 0.192496i 0.00239450 + 0.00893641i
\(465\) −0.262634 0.262634i −0.0121794 0.0121794i
\(466\) −12.6119 + 3.37934i −0.584233 + 0.156545i
\(467\) −7.71934 + 4.45676i −0.357208 + 0.206234i −0.667855 0.744291i \(-0.732788\pi\)
0.310647 + 0.950525i \(0.399454\pi\)
\(468\) −26.9029 + 15.5324i −1.24359 + 0.717985i
\(469\) 10.8639 + 10.8639i 0.501650 + 0.501650i
\(470\) −0.136934 + 0.511045i −0.00631630 + 0.0235728i
\(471\) −4.22359 + 4.22359i −0.194613 + 0.194613i
\(472\) −4.89209 −0.225177
\(473\) −34.5715 + 14.1695i −1.58960 + 0.651517i
\(474\) 29.9648i 1.37633i
\(475\) 15.6891 0.719867
\(476\) 35.5668 + 53.5449i 1.63020 + 2.45423i
\(477\) −2.37988 −0.108967
\(478\) 13.8980 8.02404i 0.635682 0.367011i
\(479\) 35.2259 + 9.43875i 1.60951 + 0.431267i 0.947897 0.318576i \(-0.103205\pi\)
0.661615 + 0.749844i \(0.269871\pi\)
\(480\) 0.455695 0.789287i 0.0207995 0.0360258i
\(481\) 40.8867 40.8867i 1.86427 1.86427i
\(482\) −10.5386 + 2.82380i −0.480019 + 0.128621i
\(483\) −7.34563 + 27.4143i −0.334238 + 1.24739i
\(484\) 69.3372i 3.15169i
\(485\) 1.66082 0.958876i 0.0754141 0.0435403i
\(486\) 30.5088 8.17480i 1.38391 0.370816i
\(487\) −29.0393 + 7.78106i −1.31590 + 0.352593i −0.847439 0.530893i \(-0.821857\pi\)
−0.468457 + 0.883486i \(0.655190\pi\)
\(488\) 1.85059 + 6.90651i 0.0837725 + 0.312643i
\(489\) −12.4958 −0.565082
\(490\) 1.26425 + 4.71825i 0.0571131 + 0.213149i
\(491\) 23.4229 + 13.5232i 1.05706 + 0.610293i 0.924617 0.380897i \(-0.124385\pi\)
0.132442 + 0.991191i \(0.457718\pi\)
\(492\) −14.8523 25.7249i −0.669591 1.15977i
\(493\) 26.8032 17.8038i 1.20716 0.801844i
\(494\) −46.0109 −2.07013
\(495\) 1.12417i 0.0505277i
\(496\) −0.0571565 0.0153150i −0.00256640 0.000687665i
\(497\) −8.50269 14.7271i −0.381398 0.660600i
\(498\) 1.59817 + 5.96447i 0.0716159 + 0.267274i
\(499\) −13.4013 + 3.59086i −0.599924 + 0.160749i −0.545985 0.837795i \(-0.683844\pi\)
−0.0539390 + 0.998544i \(0.517178\pi\)
\(500\) −2.98930 2.98930i −0.133685 0.133685i
\(501\) −17.3665 10.0266i −0.775880 0.447955i
\(502\) 7.55175 + 4.36000i 0.337051 + 0.194596i
\(503\) −38.9481 + 10.4361i −1.73661 + 0.465324i −0.981689 0.190490i \(-0.938992\pi\)
−0.754922 + 0.655814i \(0.772326\pi\)
\(504\) −5.28990 + 19.7422i −0.235631 + 0.879386i
\(505\) 0.726412 0.726412i 0.0323249 0.0323249i
\(506\) −31.3362 54.2760i −1.39307 2.41286i
\(507\) −8.80581 32.8637i −0.391080 1.45953i
\(508\) 33.9509i 1.50633i
\(509\) 5.07084 8.78295i 0.224761 0.389298i −0.731487 0.681856i \(-0.761173\pi\)
0.956248 + 0.292558i \(0.0945065\pi\)
\(510\) −1.48157 0.298904i −0.0656051 0.0132357i
\(511\) −15.3933 26.6620i −0.680960 1.17946i
\(512\) 0.288904i 0.0127679i
\(513\) 16.7526 + 4.48884i 0.739645 + 0.198187i
\(514\) 34.4420 1.51917
\(515\) 0.257177 0.257177i 0.0113326 0.0113326i
\(516\) 15.8432 20.4890i 0.697459 0.901979i
\(517\) 7.10979 + 7.10979i 0.312688 + 0.312688i
\(518\) 99.8850i 4.38869i
\(519\) 1.64495 0.949714i 0.0722054 0.0416878i
\(520\) 1.66660 + 1.66660i 0.0730853 + 0.0730853i
\(521\) −1.27170 + 4.74605i −0.0557143 + 0.207928i −0.988172 0.153351i \(-0.950993\pi\)
0.932457 + 0.361280i \(0.117660\pi\)
\(522\) 25.9468 + 6.95242i 1.13566 + 0.304299i
\(523\) 6.93713 12.0155i 0.303339 0.525399i −0.673551 0.739141i \(-0.735232\pi\)
0.976890 + 0.213742i \(0.0685651\pi\)
\(524\) −9.10857 + 9.10857i −0.397910 + 0.397910i
\(525\) 25.4642 + 14.7017i 1.11135 + 0.641637i
\(526\) −6.04974 10.4785i −0.263781 0.456882i
\(527\) 0.598883 + 9.53543i 0.0260878 + 0.415370i
\(528\) −0.0889486 0.154064i −0.00387099 0.00670475i
\(529\) −0.114499 0.0661063i −0.00497824 0.00287419i
\(530\) 0.122701 + 0.457928i 0.00532981 + 0.0198911i
\(531\) 1.30833 2.26609i 0.0567767 0.0983401i
\(532\) −34.7111 + 34.7111i −1.50492 + 1.50492i
\(533\) −46.4165 + 12.4373i −2.01052 + 0.538718i
\(534\) −13.1000 + 3.51014i −0.566893 + 0.151898i
\(535\) −1.20983 + 0.698495i −0.0523055 + 0.0301986i
\(536\) 7.75743 4.47876i 0.335070 0.193453i
\(537\) −5.85902 5.85902i −0.252835 0.252835i
\(538\) −45.4809 45.4809i −1.96082 1.96082i
\(539\) 89.6680 + 24.0265i 3.86227 + 1.03489i
\(540\) −1.16631 2.02011i −0.0501900 0.0869317i
\(541\) −7.34196 27.4006i −0.315656 1.17804i −0.923378 0.383893i \(-0.874583\pi\)
0.607722 0.794150i \(-0.292083\pi\)
\(542\) −19.0591 11.0038i −0.818657 0.472652i
\(543\) −1.52938 −0.0656319
\(544\) −22.2203 + 7.47529i −0.952689 + 0.320501i
\(545\) 1.05628 1.82953i 0.0452462 0.0783687i
\(546\) −74.6777 43.1152i −3.19591 1.84516i
\(547\) −12.0234 3.22167i −0.514085 0.137749i −0.00755569 0.999971i \(-0.502405\pi\)
−0.506529 + 0.862223i \(0.669072\pi\)
\(548\) −55.0703 −2.35248
\(549\) −3.69413 0.989839i −0.157662 0.0422453i
\(550\) −62.7172 + 16.8050i −2.67427 + 0.716569i
\(551\) 17.3755 + 17.3755i 0.740220 + 0.740220i
\(552\) 14.3301 + 8.27347i 0.609929 + 0.352142i
\(553\) 44.7890 25.8589i 1.90462 1.09963i
\(554\) −3.78046 + 14.1089i −0.160617 + 0.599429i
\(555\) 1.02567 + 1.02567i 0.0435372 + 0.0435372i
\(556\) −36.4324 9.76203i −1.54508 0.414002i
\(557\) −4.38714 −0.185889 −0.0929446 0.995671i \(-0.529628\pi\)
−0.0929446 + 0.995671i \(0.529628\pi\)
\(558\) −5.63986 + 5.63986i −0.238754 + 0.238754i
\(559\) −25.3828 33.3355i −1.07358 1.40994i
\(560\) −0.0161563 −0.000682728
\(561\) −18.9977 + 21.5440i −0.802085 + 0.909589i
\(562\) 2.01342 + 3.48734i 0.0849309 + 0.147105i
\(563\) 0.756870i 0.0318983i −0.999873 0.0159491i \(-0.994923\pi\)
0.999873 0.0159491i \(-0.00507698\pi\)
\(564\) −6.73251 1.80397i −0.283490 0.0759609i
\(565\) 0.675984 + 1.17084i 0.0284388 + 0.0492575i
\(566\) −5.63122 21.0160i −0.236698 0.883369i
\(567\) 7.57525 + 7.57525i 0.318131 + 0.318131i
\(568\) −9.57669 + 2.56607i −0.401829 + 0.107670i
\(569\) −9.91236 + 5.72290i −0.415548 + 0.239917i −0.693171 0.720774i \(-0.743787\pi\)
0.277623 + 0.960690i \(0.410453\pi\)
\(570\) 1.15421i 0.0483447i
\(571\) 4.24606 15.8465i 0.177692 0.663155i −0.818385 0.574670i \(-0.805131\pi\)
0.996077 0.0884858i \(-0.0282028\pi\)
\(572\) 113.597 30.4383i 4.74973 1.27269i
\(573\) −1.23946 4.62574i −0.0517793 0.193243i
\(574\) −41.5052 + 71.8891i −1.73239 + 3.00059i
\(575\) −16.9460 + 16.9460i −0.706699 + 0.706699i
\(576\) −16.8827 9.74725i −0.703447 0.406135i
\(577\) −7.58928 + 13.1450i −0.315946 + 0.547234i −0.979638 0.200771i \(-0.935655\pi\)
0.663692 + 0.748006i \(0.268989\pi\)
\(578\) 23.4995 + 30.9733i 0.977449 + 1.28832i
\(579\) 14.4145 + 24.9667i 0.599047 + 1.03758i
\(580\) 3.30490i 0.137228i
\(581\) 7.53601 7.53601i 0.312646 0.312646i
\(582\) 20.4532 + 35.4260i 0.847813 + 1.46846i
\(583\) 8.70269 + 2.33188i 0.360429 + 0.0965766i
\(584\) −17.3377 + 4.64562i −0.717438 + 0.192237i
\(585\) −1.21771 + 0.326284i −0.0503461 + 0.0134902i
\(586\) 23.0483i 0.952115i
\(587\) 30.9556 + 17.8722i 1.27767 + 0.737665i 0.976420 0.215880i \(-0.0692620\pi\)
0.301253 + 0.953544i \(0.402595\pi\)
\(588\) −62.1583 + 16.6553i −2.56337 + 0.686852i
\(589\) −7.04756 + 1.88839i −0.290390 + 0.0778097i
\(590\) −0.503489 0.134910i −0.0207283 0.00555414i
\(591\) −0.422862 −0.0173942
\(592\) 0.223214 + 0.0598099i 0.00917402 + 0.00245817i
\(593\) 35.9744 + 20.7698i 1.47729 + 0.852915i 0.999671 0.0256508i \(-0.00816580\pi\)
0.477621 + 0.878566i \(0.341499\pi\)
\(594\) −71.7764 −2.94502
\(595\) 0.831784 + 2.47248i 0.0340998 + 0.101362i
\(596\) 1.66343 + 2.88114i 0.0681367 + 0.118016i
\(597\) −4.81241 + 2.77845i −0.196959 + 0.113714i
\(598\) 49.6970 49.6970i 2.03226 2.03226i
\(599\) 14.8049 + 25.6428i 0.604910 + 1.04773i 0.992066 + 0.125720i \(0.0401243\pi\)
−0.387156 + 0.922014i \(0.626542\pi\)
\(600\) 12.1219 12.1219i 0.494873 0.494873i
\(601\) 12.6235 + 12.6235i 0.514922 + 0.514922i 0.916031 0.401108i \(-0.131375\pi\)
−0.401108 + 0.916031i \(0.631375\pi\)
\(602\) −71.7235 9.71414i −2.92323 0.395919i
\(603\) 4.79116i 0.195111i
\(604\) 33.2732i 1.35387i
\(605\) 0.728273 2.71795i 0.0296085 0.110500i
\(606\) 15.4947 + 15.4947i 0.629428 + 0.629428i
\(607\) −34.5105 9.24707i −1.40074 0.375327i −0.522129 0.852867i \(-0.674862\pi\)
−0.878610 + 0.477540i \(0.841529\pi\)
\(608\) −8.95164 15.5047i −0.363037 0.628798i
\(609\) 11.9192 + 44.4831i 0.482991 + 1.80255i
\(610\) 0.761846i 0.0308462i
\(611\) −5.63780 + 9.76496i −0.228081 + 0.395048i
\(612\) −3.96431 + 19.6498i −0.160248 + 0.794297i
\(613\) 4.44075 0.179360 0.0896801 0.995971i \(-0.471416\pi\)
0.0896801 + 0.995971i \(0.471416\pi\)
\(614\) −39.8132 + 22.9862i −1.60673 + 0.927647i
\(615\) −0.311997 1.16439i −0.0125809 0.0469527i
\(616\) 38.6880 67.0096i 1.55878 2.69989i
\(617\) −8.20040 30.6043i −0.330136 1.23208i −0.909047 0.416693i \(-0.863189\pi\)
0.578911 0.815390i \(-0.303478\pi\)
\(618\) 5.48568 + 5.48568i 0.220666 + 0.220666i
\(619\) −28.1643 + 7.54661i −1.13202 + 0.303324i −0.775738 0.631055i \(-0.782622\pi\)
−0.356282 + 0.934379i \(0.615956\pi\)
\(620\) 0.849830 + 0.490649i 0.0341300 + 0.0197050i
\(621\) −22.9431 + 13.2462i −0.920676 + 0.531553i
\(622\) 3.07167 11.4636i 0.123163 0.459650i
\(623\) 16.5517 + 16.5517i 0.663128 + 0.663128i
\(624\) 0.141066 0.141066i 0.00564716 0.00564716i
\(625\) 12.3713 + 21.4276i 0.494850 + 0.857106i
\(626\) 45.6744 + 12.2384i 1.82552 + 0.489146i
\(627\) −18.9965 10.9676i −0.758647 0.438005i
\(628\) 7.89043 13.6666i 0.314863 0.545358i
\(629\) −2.33882 37.2388i −0.0932550 1.48481i
\(630\) −1.08886 + 1.88597i −0.0433813 + 0.0751387i
\(631\) −19.2951 11.1400i −0.768125 0.443477i 0.0640802 0.997945i \(-0.479589\pi\)
−0.832205 + 0.554467i \(0.812922\pi\)
\(632\) −7.80408 29.1252i −0.310430 1.15854i
\(633\) −2.09679 3.63174i −0.0833399 0.144349i
\(634\) −14.3069 + 14.3069i −0.568200 + 0.568200i
\(635\) −0.356598 + 1.33084i −0.0141512 + 0.0528128i
\(636\) −6.03275 + 1.61647i −0.239214 + 0.0640972i
\(637\) 104.103i 4.12470i
\(638\) −88.0696 50.8470i −3.48671 2.01305i
\(639\) 1.37253 5.12234i 0.0542963 0.202637i
\(640\) −0.619248 + 2.31106i −0.0244779 + 0.0913529i
\(641\) −15.0694 + 15.0694i −0.595206 + 0.595206i −0.939033 0.343827i \(-0.888277\pi\)
0.343827 + 0.939033i \(0.388277\pi\)
\(642\) −14.8992 25.8062i −0.588024 1.01849i
\(643\) −14.8346 + 14.8346i −0.585019 + 0.585019i −0.936278 0.351259i \(-0.885754\pi\)
0.351259 + 0.936278i \(0.385754\pi\)
\(644\) 74.9838i 2.95477i
\(645\) 0.836242 0.636743i 0.0329270 0.0250717i
\(646\) −19.6370 + 22.2689i −0.772606 + 0.876158i
\(647\) 29.7573 1.16988 0.584940 0.811077i \(-0.301118\pi\)
0.584940 + 0.811077i \(0.301118\pi\)
\(648\) 5.40914 3.12297i 0.212491 0.122682i
\(649\) −7.00467 + 7.00467i −0.274957 + 0.274957i
\(650\) −36.4067 63.0582i −1.42799 2.47335i
\(651\) −13.2080 3.53908i −0.517664 0.138708i
\(652\) 31.8892 8.54470i 1.24888 0.334636i
\(653\) 0.315319 + 0.315319i 0.0123394 + 0.0123394i 0.713250 0.700910i \(-0.247223\pi\)
−0.700910 + 0.713250i \(0.747223\pi\)
\(654\) 39.0247 + 22.5309i 1.52599 + 0.881029i
\(655\) −0.452718 + 0.261377i −0.0176891 + 0.0102128i
\(656\) −0.135798 0.135798i −0.00530203 0.00530203i
\(657\) 2.48483 9.27351i 0.0969424 0.361794i
\(658\) 5.04127 + 18.8143i 0.196529 + 0.733456i
\(659\) −8.31858 + 14.4082i −0.324046 + 0.561264i −0.981319 0.192389i \(-0.938377\pi\)
0.657273 + 0.753653i \(0.271710\pi\)
\(660\) 0.763563 + 2.84966i 0.0297217 + 0.110923i
\(661\) 20.0498i 0.779847i 0.920847 + 0.389923i \(0.127499\pi\)
−0.920847 + 0.389923i \(0.872501\pi\)
\(662\) 17.2608 29.8967i 0.670862 1.16197i
\(663\) −28.8506 14.3255i −1.12047 0.556355i
\(664\) −3.10679 5.38112i −0.120567 0.208828i
\(665\) −1.72522 + 0.996059i −0.0669013 + 0.0386255i
\(666\) 22.0254 22.0254i 0.853467 0.853467i
\(667\) −37.5349 −1.45336
\(668\) 51.1754 + 13.7124i 1.98004 + 0.530549i
\(669\) 2.74886 10.2589i 0.106277 0.396632i
\(670\) 0.921899 0.247022i 0.0356161 0.00954330i
\(671\) 12.5387 + 7.23925i 0.484053 + 0.279468i
\(672\) 33.5531i 1.29434i
\(673\) 27.2004 7.28832i 1.04850 0.280944i 0.306867 0.951752i \(-0.400719\pi\)
0.741631 + 0.670808i \(0.234053\pi\)
\(674\) 59.0669 15.8269i 2.27517 0.609631i
\(675\) 7.10370 + 26.5114i 0.273421 + 1.02042i
\(676\) 44.9446 + 77.8464i 1.72864 + 2.99409i
\(677\) −17.2278 + 17.2278i −0.662118 + 0.662118i −0.955879 0.293761i \(-0.905093\pi\)
0.293761 + 0.955879i \(0.405093\pi\)
\(678\) −24.9745 + 14.4190i −0.959138 + 0.553759i
\(679\) 35.3013 61.1436i 1.35474 2.34648i
\(680\) 1.51791 0.0953339i 0.0582091 0.00365589i
\(681\) −9.33657 + 16.1714i −0.357778 + 0.619690i
\(682\) 26.1499 15.0976i 1.00133 0.578118i
\(683\) 15.6887 + 4.20378i 0.600312 + 0.160853i 0.546162 0.837680i \(-0.316088\pi\)
0.0541500 + 0.998533i \(0.482755\pi\)
\(684\) −15.3081 −0.585321
\(685\) −2.15870 0.578422i −0.0824797 0.0221004i
\(686\) 72.5266 + 72.5266i 2.76908 + 2.76908i
\(687\) 24.4891 + 24.4891i 0.934316 + 0.934316i
\(688\) 0.0646554 0.154464i 0.00246496 0.00588890i
\(689\) 10.1036i 0.384918i
\(690\) 1.24668 + 1.24668i 0.0474603 + 0.0474603i
\(691\) −4.46262 + 16.6547i −0.169766 + 0.633575i 0.827618 + 0.561291i \(0.189695\pi\)
−0.997384 + 0.0722835i \(0.976971\pi\)
\(692\) −3.54848 + 3.54848i −0.134893 + 0.134893i
\(693\) 20.6933 + 35.8418i 0.786073 + 1.36152i
\(694\) 5.06331 + 1.35671i 0.192201 + 0.0515000i
\(695\) −1.32558 0.765324i −0.0502821 0.0290304i
\(696\) 26.8495 1.01773
\(697\) −13.7905 + 27.7733i −0.522353 + 1.05199i
\(698\) −30.5668 52.9432i −1.15697 2.00393i
\(699\) 6.98048i 0.264026i
\(700\) −75.0373 20.1062i −2.83614 0.759942i
\(701\) 15.3135 26.5237i 0.578382 1.00179i −0.417283 0.908777i \(-0.637018\pi\)
0.995665 0.0930109i \(-0.0296491\pi\)
\(702\) −20.8327 77.7488i −0.786281 2.93444i
\(703\) 27.5229 7.37474i 1.03805 0.278143i
\(704\) 52.1858 + 52.1858i 1.96683 + 1.96683i
\(705\) −0.244960 0.141428i −0.00922574 0.00532648i
\(706\) −7.57523 4.37356i −0.285098 0.164601i
\(707\) 9.78864 36.5317i 0.368140 1.37392i
\(708\) 1.77730 6.63297i 0.0667950 0.249282i
\(709\) −0.967062 + 0.967062i −0.0363188 + 0.0363188i −0.725033 0.688714i \(-0.758175\pi\)
0.688714 + 0.725033i \(0.258175\pi\)
\(710\) −1.05639 −0.0396456
\(711\) 15.5784 + 4.17422i 0.584235 + 0.156545i
\(712\) 11.8188 6.82357i 0.442927 0.255724i
\(713\) 5.57249 9.65183i 0.208691 0.361464i
\(714\) −52.7390 + 17.7423i −1.97371 + 0.663989i
\(715\) 4.77260 0.178485
\(716\) 18.9586 + 10.9457i 0.708514 + 0.409061i
\(717\) 2.22059 + 8.28737i 0.0829296 + 0.309497i
\(718\) 18.9144 32.7607i 0.705879 1.22262i
\(719\) −14.9500 4.00585i −0.557542 0.149393i −0.0309652 0.999520i \(-0.509858\pi\)
−0.526577 + 0.850128i \(0.676525\pi\)
\(720\) −0.00356258 0.00356258i −0.000132770 0.000132770i
\(721\) 3.46554 12.9336i 0.129063 0.481671i
\(722\) 17.9957 + 10.3898i 0.669730 + 0.386669i
\(723\) 5.83295i 0.216930i
\(724\) 3.90295 1.04579i 0.145052 0.0388666i
\(725\) −10.0646 + 37.5617i −0.373791 + 1.39501i
\(726\) 57.9750 + 15.5344i 2.15165 + 0.576534i
\(727\) −39.7894 −1.47571 −0.737854 0.674961i \(-0.764161\pi\)
−0.737854 + 0.674961i \(0.764161\pi\)
\(728\) 83.8143 + 22.4580i 3.10636 + 0.832348i
\(729\) 23.5454i 0.872051i
\(730\) −1.91249 −0.0707844
\(731\) −26.9672 1.94217i −0.997417 0.0718339i
\(732\) −10.0366 −0.370962
\(733\) 25.5290i 0.942934i −0.881884 0.471467i \(-0.843725\pi\)
0.881884 0.471467i \(-0.156275\pi\)
\(734\) 78.7790 + 21.1088i 2.90779 + 0.779139i
\(735\) −2.61148 −0.0963259
\(736\) 26.4156 + 7.07804i 0.973692 + 0.260900i
\(737\) 4.69453 17.5202i 0.172925 0.645366i
\(738\) −25.0043 + 6.69988i −0.920421 + 0.246626i
\(739\) 25.6915i 0.945077i −0.881310 0.472538i \(-0.843338\pi\)
0.881310 0.472538i \(-0.156662\pi\)
\(740\) −3.31885 1.91614i −0.122003 0.0704386i
\(741\) 6.36659 23.7604i 0.233883 0.872861i
\(742\) 12.3415 + 12.3415i 0.453069 + 0.453069i
\(743\) −16.7797 4.49610i −0.615587 0.164946i −0.0624660 0.998047i \(-0.519896\pi\)
−0.553121 + 0.833101i \(0.686563\pi\)
\(744\) −3.98611 + 6.90415i −0.146138 + 0.253119i
\(745\) 0.0349432 + 0.130410i 0.00128022 + 0.00477784i
\(746\) 33.3204 + 19.2375i 1.21995 + 0.704336i
\(747\) 3.32350 0.121600
\(748\) 33.7501 67.9708i 1.23403 2.48526i
\(749\) −25.7153 + 44.5402i −0.939616 + 1.62746i
\(750\) 3.16917 1.82972i 0.115722 0.0668119i
\(751\) 34.2388 + 9.17427i 1.24939 + 0.334774i 0.822102 0.569340i \(-0.192801\pi\)
0.427291 + 0.904114i \(0.359468\pi\)
\(752\) −0.0450630 −0.00164328
\(753\) −3.29649 + 3.29649i −0.120131 + 0.120131i
\(754\) 29.5161 110.156i 1.07491 4.01163i
\(755\) −0.349481 + 1.30428i −0.0127189 + 0.0474676i
\(756\) −74.3709 42.9380i −2.70484 1.56164i
\(757\) 14.1857 + 8.19009i 0.515587