Properties

Label 570.2.s.a.221.2
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.2
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.a.521.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.22385 + 1.22564i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.67336 + 0.447064i) q^{6} +3.20940 q^{7} +1.00000 q^{8} +(-0.00438801 - 3.00000i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.22385 + 1.22564i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.67336 + 0.447064i) q^{6} +3.20940 q^{7} +1.00000 q^{8} +(-0.00438801 - 3.00000i) q^{9} +(0.866025 + 0.500000i) q^{10} +2.81844i q^{11} +(-0.449511 - 1.67270i) q^{12} +(-1.17608 - 0.679010i) q^{13} +(-1.60470 - 2.77942i) q^{14} +(0.447064 - 1.67336i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.48891 + 1.43697i) q^{17} +(-2.59588 + 1.50380i) q^{18} +(4.04290 + 1.62940i) q^{19} -1.00000i q^{20} +(-3.92782 + 3.93357i) q^{21} +(2.44084 - 1.40922i) q^{22} +(-3.23945 - 1.87030i) q^{23} +(-1.22385 + 1.22564i) q^{24} +(0.500000 - 0.866025i) q^{25} +1.35802i q^{26} +(3.68229 + 3.66616i) q^{27} +(-1.60470 + 2.77942i) q^{28} +(-1.23451 + 2.13824i) q^{29} +(-1.67270 + 0.449511i) q^{30} +6.20471i q^{31} +(-0.500000 + 0.866025i) q^{32} +(-3.45439 - 3.44934i) q^{33} +(2.48891 + 1.43697i) q^{34} +(-2.77942 + 1.60470i) q^{35} +(2.60027 + 1.49620i) q^{36} +11.8172i q^{37} +(-0.610351 - 4.31596i) q^{38} +(2.27156 - 0.610445i) q^{39} +(-0.866025 + 0.500000i) q^{40} +(5.87998 + 10.1844i) q^{41} +(5.37049 + 1.43481i) q^{42} +(2.63866 + 4.57030i) q^{43} +(-2.44084 - 1.40922i) q^{44} +(1.50380 + 2.59588i) q^{45} +3.74059i q^{46} +(-8.22978 - 4.75146i) q^{47} +(1.67336 + 0.447064i) q^{48} +3.30026 q^{49} -1.00000 q^{50} +(1.28484 - 4.80914i) q^{51} +(1.17608 - 0.679010i) q^{52} +(-1.96402 + 3.40178i) q^{53} +(1.33385 - 5.02204i) q^{54} +(-1.40922 - 2.44084i) q^{55} +3.20940 q^{56} +(-6.94496 + 2.96101i) q^{57} +2.46903 q^{58} +(1.85319 + 3.20982i) q^{59} +(1.22564 + 1.22385i) q^{60} +(0.946137 - 1.63876i) q^{61} +(5.37344 - 3.10235i) q^{62} +(-0.0140829 - 9.62820i) q^{63} +1.00000 q^{64} +1.35802 q^{65} +(-1.26002 + 4.71626i) q^{66} +(-9.15518 - 5.28574i) q^{67} -2.87394i q^{68} +(6.25690 - 1.68144i) q^{69} +(2.77942 + 1.60470i) q^{70} +(0.825761 + 1.43026i) q^{71} +(-0.00438801 - 3.00000i) q^{72} +(-4.52170 - 7.83182i) q^{73} +(10.2340 - 5.90861i) q^{74} +(0.449511 + 1.67270i) q^{75} +(-3.43255 + 2.68656i) q^{76} +9.04550i q^{77} +(-1.66444 - 1.66201i) q^{78} +(7.55110 - 4.35963i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-8.99996 + 0.0263280i) q^{81} +(5.87998 - 10.1844i) q^{82} -8.01355i q^{83} +(-1.44266 - 5.36838i) q^{84} +(1.43697 - 2.48891i) q^{85} +(2.63866 - 4.57030i) q^{86} +(-1.10986 - 4.12995i) q^{87} +2.81844i q^{88} +(-1.31900 + 2.28458i) q^{89} +(1.49620 - 2.60027i) q^{90} +(-3.77451 - 2.17921i) q^{91} +(3.23945 - 1.87030i) q^{92} +(-7.60474 - 7.59363i) q^{93} +9.50293i q^{94} +(-4.31596 + 0.610351i) q^{95} +(-0.449511 - 1.67270i) q^{96} +(8.27383 - 4.77690i) q^{97} +(-1.65013 - 2.85811i) q^{98} +(8.45531 - 0.0123673i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.22385 + 1.22564i −0.706589 + 0.707624i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.67336 + 0.447064i 0.683146 + 0.182513i
\(7\) 3.20940 1.21304 0.606520 0.795068i \(-0.292565\pi\)
0.606520 + 0.795068i \(0.292565\pi\)
\(8\) 1.00000 0.353553
\(9\) −0.00438801 3.00000i −0.00146267 0.999999i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 2.81844i 0.849791i 0.905242 + 0.424896i \(0.139689\pi\)
−0.905242 + 0.424896i \(0.860311\pi\)
\(12\) −0.449511 1.67270i −0.129763 0.482868i
\(13\) −1.17608 0.679010i −0.326186 0.188323i 0.327961 0.944691i \(-0.393639\pi\)
−0.654146 + 0.756368i \(0.726972\pi\)
\(14\) −1.60470 2.77942i −0.428874 0.742832i
\(15\) 0.447064 1.67336i 0.115431 0.432060i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.48891 + 1.43697i −0.603648 + 0.348516i −0.770475 0.637470i \(-0.779981\pi\)
0.166827 + 0.985986i \(0.446648\pi\)
\(18\) −2.59588 + 1.50380i −0.611855 + 0.354449i
\(19\) 4.04290 + 1.62940i 0.927505 + 0.373810i
\(20\) 1.00000i 0.223607i
\(21\) −3.92782 + 3.93357i −0.857121 + 0.858376i
\(22\) 2.44084 1.40922i 0.520389 0.300447i
\(23\) −3.23945 1.87030i −0.675471 0.389984i 0.122675 0.992447i \(-0.460853\pi\)
−0.798147 + 0.602463i \(0.794186\pi\)
\(24\) −1.22385 + 1.22564i −0.249817 + 0.250183i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.35802i 0.266329i
\(27\) 3.68229 + 3.66616i 0.708656 + 0.705554i
\(28\) −1.60470 + 2.77942i −0.303260 + 0.525262i
\(29\) −1.23451 + 2.13824i −0.229243 + 0.397061i −0.957584 0.288154i \(-0.906959\pi\)
0.728341 + 0.685215i \(0.240292\pi\)
\(30\) −1.67270 + 0.449511i −0.305393 + 0.0820691i
\(31\) 6.20471i 1.11440i 0.830379 + 0.557199i \(0.188124\pi\)
−0.830379 + 0.557199i \(0.811876\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −3.45439 3.44934i −0.601332 0.600454i
\(34\) 2.48891 + 1.43697i 0.426844 + 0.246438i
\(35\) −2.77942 + 1.60470i −0.469808 + 0.271244i
\(36\) 2.60027 + 1.49620i 0.433378 + 0.249366i
\(37\) 11.8172i 1.94274i 0.237572 + 0.971370i \(0.423649\pi\)
−0.237572 + 0.971370i \(0.576351\pi\)
\(38\) −0.610351 4.31596i −0.0990120 0.700140i
\(39\) 2.27156 0.610445i 0.363741 0.0977494i
\(40\) −0.866025 + 0.500000i −0.136931 + 0.0790569i
\(41\) 5.87998 + 10.1844i 0.918299 + 1.59054i 0.801998 + 0.597326i \(0.203770\pi\)
0.116301 + 0.993214i \(0.462896\pi\)
\(42\) 5.37049 + 1.43481i 0.828684 + 0.221396i
\(43\) 2.63866 + 4.57030i 0.402393 + 0.696964i 0.994014 0.109251i \(-0.0348453\pi\)
−0.591622 + 0.806216i \(0.701512\pi\)
\(44\) −2.44084 1.40922i −0.367970 0.212448i
\(45\) 1.50380 + 2.59588i 0.224173 + 0.386971i
\(46\) 3.74059i 0.551520i
\(47\) −8.22978 4.75146i −1.20044 0.693072i −0.239784 0.970826i \(-0.577077\pi\)
−0.960652 + 0.277754i \(0.910410\pi\)
\(48\) 1.67336 + 0.447064i 0.241529 + 0.0645281i
\(49\) 3.30026 0.471466
\(50\) −1.00000 −0.141421
\(51\) 1.28484 4.80914i 0.179913 0.673414i
\(52\) 1.17608 0.679010i 0.163093 0.0941617i
\(53\) −1.96402 + 3.40178i −0.269779 + 0.467271i −0.968805 0.247826i \(-0.920284\pi\)
0.699026 + 0.715097i \(0.253617\pi\)
\(54\) 1.33385 5.02204i 0.181514 0.683413i
\(55\) −1.40922 2.44084i −0.190019 0.329123i
\(56\) 3.20940 0.428874
\(57\) −6.94496 + 2.96101i −0.919882 + 0.392195i
\(58\) 2.46903 0.324199
\(59\) 1.85319 + 3.20982i 0.241265 + 0.417883i 0.961075 0.276288i \(-0.0891044\pi\)
−0.719810 + 0.694171i \(0.755771\pi\)
\(60\) 1.22564 + 1.22385i 0.158229 + 0.157998i
\(61\) 0.946137 1.63876i 0.121140 0.209821i −0.799077 0.601228i \(-0.794678\pi\)
0.920218 + 0.391407i \(0.128012\pi\)
\(62\) 5.37344 3.10235i 0.682427 0.393999i
\(63\) −0.0140829 9.62820i −0.00177428 1.21304i
\(64\) 1.00000 0.125000
\(65\) 1.35802 0.168442
\(66\) −1.26002 + 4.71626i −0.155098 + 0.580532i
\(67\) −9.15518 5.28574i −1.11848 0.645756i −0.177470 0.984126i \(-0.556791\pi\)
−0.941013 + 0.338370i \(0.890125\pi\)
\(68\) 2.87394i 0.348516i
\(69\) 6.25690 1.68144i 0.753243 0.202421i
\(70\) 2.77942 + 1.60470i 0.332205 + 0.191798i
\(71\) 0.825761 + 1.43026i 0.0979999 + 0.169741i 0.910857 0.412723i \(-0.135422\pi\)
−0.812857 + 0.582464i \(0.802089\pi\)
\(72\) −0.00438801 3.00000i −0.000517131 0.353553i
\(73\) −4.52170 7.83182i −0.529225 0.916645i −0.999419 0.0340817i \(-0.989149\pi\)
0.470194 0.882563i \(-0.344184\pi\)
\(74\) 10.2340 5.90861i 1.18968 0.686862i
\(75\) 0.449511 + 1.67270i 0.0519051 + 0.193147i
\(76\) −3.43255 + 2.68656i −0.393741 + 0.308169i
\(77\) 9.04550i 1.03083i
\(78\) −1.66444 1.66201i −0.188461 0.188186i
\(79\) 7.55110 4.35963i 0.849565 0.490497i −0.0109389 0.999940i \(-0.503482\pi\)
0.860504 + 0.509443i \(0.170149\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −8.99996 + 0.0263280i −0.999996 + 0.00292533i
\(82\) 5.87998 10.1844i 0.649335 1.12468i
\(83\) 8.01355i 0.879602i −0.898095 0.439801i \(-0.855049\pi\)
0.898095 0.439801i \(-0.144951\pi\)
\(84\) −1.44266 5.36838i −0.157407 0.585738i
\(85\) 1.43697 2.48891i 0.155861 0.269960i
\(86\) 2.63866 4.57030i 0.284535 0.492828i
\(87\) −1.10986 4.12995i −0.118989 0.442777i
\(88\) 2.81844i 0.300447i
\(89\) −1.31900 + 2.28458i −0.139814 + 0.242165i −0.927426 0.374006i \(-0.877984\pi\)
0.787612 + 0.616171i \(0.211317\pi\)
\(90\) 1.49620 2.60027i 0.157713 0.274092i
\(91\) −3.77451 2.17921i −0.395676 0.228444i
\(92\) 3.23945 1.87030i 0.337736 0.194992i
\(93\) −7.60474 7.59363i −0.788575 0.787422i
\(94\) 9.50293i 0.980152i
\(95\) −4.31596 + 0.610351i −0.442808 + 0.0626207i
\(96\) −0.449511 1.67270i −0.0458780 0.170720i
\(97\) 8.27383 4.77690i 0.840080 0.485021i −0.0172113 0.999852i \(-0.505479\pi\)
0.857291 + 0.514831i \(0.172145\pi\)
\(98\) −1.65013 2.85811i −0.166688 0.288713i
\(99\) 8.45531 0.0123673i 0.849790 0.00124296i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 16.9742 + 9.80004i 1.68899 + 0.975140i 0.955291 + 0.295667i \(0.0955420\pi\)
0.733701 + 0.679472i \(0.237791\pi\)
\(102\) −4.80725 + 1.29187i −0.475989 + 0.127914i
\(103\) 1.41243i 0.139171i 0.997576 + 0.0695853i \(0.0221676\pi\)
−0.997576 + 0.0695853i \(0.977832\pi\)
\(104\) −1.17608 0.679010i −0.115324 0.0665824i
\(105\) 1.43481 5.37049i 0.140023 0.524106i
\(106\) 3.92804 0.381525
\(107\) −0.133041 −0.0128615 −0.00643076 0.999979i \(-0.502047\pi\)
−0.00643076 + 0.999979i \(0.502047\pi\)
\(108\) −5.01614 + 1.35587i −0.482678 + 0.130469i
\(109\) −9.72530 + 5.61490i −0.931514 + 0.537810i −0.887290 0.461211i \(-0.847415\pi\)
−0.0442242 + 0.999022i \(0.514082\pi\)
\(110\) −1.40922 + 2.44084i −0.134364 + 0.232725i
\(111\) −14.4837 14.4625i −1.37473 1.37272i
\(112\) −1.60470 2.77942i −0.151630 0.262631i
\(113\) −11.8510 −1.11485 −0.557423 0.830229i \(-0.688210\pi\)
−0.557423 + 0.830229i \(0.688210\pi\)
\(114\) 6.03679 + 4.53401i 0.565397 + 0.424649i
\(115\) 3.74059 0.348812
\(116\) −1.23451 2.13824i −0.114622 0.198531i
\(117\) −2.03187 + 3.53121i −0.187846 + 0.326461i
\(118\) 1.85319 3.20982i 0.170600 0.295488i
\(119\) −7.98790 + 4.61182i −0.732249 + 0.422764i
\(120\) 0.447064 1.67336i 0.0408112 0.152756i
\(121\) 3.05640 0.277855
\(122\) −1.89227 −0.171319
\(123\) −19.6787 5.25746i −1.77436 0.474049i
\(124\) −5.37344 3.10235i −0.482549 0.278600i
\(125\) 1.00000i 0.0894427i
\(126\) −8.33122 + 4.82629i −0.742204 + 0.429960i
\(127\) −1.19910 0.692300i −0.106403 0.0614317i 0.445854 0.895106i \(-0.352900\pi\)
−0.552257 + 0.833674i \(0.686233\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −8.83087 2.35930i −0.777515 0.207725i
\(130\) −0.679010 1.17608i −0.0595531 0.103149i
\(131\) 16.9209 9.76931i 1.47839 0.853549i 0.478689 0.877985i \(-0.341112\pi\)
0.999701 + 0.0244360i \(0.00777899\pi\)
\(132\) 4.71441 1.26692i 0.410337 0.110271i
\(133\) 12.9753 + 5.22939i 1.12510 + 0.453446i
\(134\) 10.5715i 0.913238i
\(135\) −5.02204 1.33385i −0.432228 0.114799i
\(136\) −2.48891 + 1.43697i −0.213422 + 0.123219i
\(137\) 4.09190 + 2.36246i 0.349595 + 0.201839i 0.664507 0.747282i \(-0.268642\pi\)
−0.314912 + 0.949121i \(0.601975\pi\)
\(138\) −4.58462 4.57792i −0.390269 0.389698i
\(139\) 1.29172 2.23732i 0.109562 0.189767i −0.806031 0.591874i \(-0.798388\pi\)
0.915593 + 0.402106i \(0.131722\pi\)
\(140\) 3.20940i 0.271244i
\(141\) 15.8956 4.27167i 1.33865 0.359740i
\(142\) 0.825761 1.43026i 0.0692964 0.120025i
\(143\) 1.91375 3.31471i 0.160036 0.277190i
\(144\) −2.59588 + 1.50380i −0.216323 + 0.125317i
\(145\) 2.46903i 0.205042i
\(146\) −4.52170 + 7.83182i −0.374219 + 0.648166i
\(147\) −4.03902 + 4.04493i −0.333133 + 0.333621i
\(148\) −10.2340 5.90861i −0.841231 0.485685i
\(149\) 10.2414 5.91288i 0.839009 0.484402i −0.0179181 0.999839i \(-0.505704\pi\)
0.856927 + 0.515437i \(0.172370\pi\)
\(150\) 1.22385 1.22564i 0.0999268 0.100073i
\(151\) 5.46814i 0.444991i 0.974934 + 0.222495i \(0.0714202\pi\)
−0.974934 + 0.222495i \(0.928580\pi\)
\(152\) 4.04290 + 1.62940i 0.327923 + 0.132162i
\(153\) 4.32183 + 7.46040i 0.349399 + 0.603138i
\(154\) 7.83364 4.52275i 0.631252 0.364454i
\(155\) −3.10235 5.37344i −0.249187 0.431605i
\(156\) −0.607122 + 2.27245i −0.0486086 + 0.181942i
\(157\) 8.57463 + 14.8517i 0.684330 + 1.18529i 0.973647 + 0.228061i \(0.0732384\pi\)
−0.289317 + 0.957233i \(0.593428\pi\)
\(158\) −7.55110 4.35963i −0.600733 0.346834i
\(159\) −1.76570 6.57045i −0.140029 0.521071i
\(160\) 1.00000i 0.0790569i
\(161\) −10.3967 6.00253i −0.819374 0.473066i
\(162\) 4.52278 + 7.78103i 0.355343 + 0.611336i
\(163\) 3.07053 0.240502 0.120251 0.992744i \(-0.461630\pi\)
0.120251 + 0.992744i \(0.461630\pi\)
\(164\) −11.7600 −0.918299
\(165\) 4.71626 + 1.26002i 0.367161 + 0.0980926i
\(166\) −6.93994 + 4.00678i −0.538644 + 0.310986i
\(167\) 11.6737 20.2195i 0.903339 1.56463i 0.0802078 0.996778i \(-0.474442\pi\)
0.823131 0.567851i \(-0.192225\pi\)
\(168\) −3.92782 + 3.93357i −0.303038 + 0.303482i
\(169\) −5.57789 9.66119i −0.429069 0.743169i
\(170\) −2.87394 −0.220421
\(171\) 4.87045 12.1358i 0.372453 0.928051i
\(172\) −5.27733 −0.402393
\(173\) 4.79757 + 8.30963i 0.364752 + 0.631769i 0.988736 0.149668i \(-0.0478204\pi\)
−0.623984 + 0.781437i \(0.714487\pi\)
\(174\) −3.02172 + 3.02614i −0.229076 + 0.229411i
\(175\) 1.60470 2.77942i 0.121304 0.210105i
\(176\) 2.44084 1.40922i 0.183985 0.106224i
\(177\) −6.20211 1.65699i −0.466179 0.124547i
\(178\) 2.63801 0.197727
\(179\) −18.3924 −1.37471 −0.687357 0.726320i \(-0.741229\pi\)
−0.687357 + 0.726320i \(0.741229\pi\)
\(180\) −3.00000 + 0.00438801i −0.223607 + 0.000327063i
\(181\) −12.8805 7.43657i −0.957402 0.552756i −0.0620293 0.998074i \(-0.519757\pi\)
−0.895372 + 0.445318i \(0.853091\pi\)
\(182\) 4.35843i 0.323068i
\(183\) 0.850599 + 3.16522i 0.0628781 + 0.233980i
\(184\) −3.23945 1.87030i −0.238815 0.137880i
\(185\) −5.90861 10.2340i −0.434410 0.752420i
\(186\) −2.77390 + 10.3827i −0.203392 + 0.761297i
\(187\) −4.05001 7.01483i −0.296166 0.512975i
\(188\) 8.22978 4.75146i 0.600218 0.346536i
\(189\) 11.8179 + 11.7662i 0.859629 + 0.855865i
\(190\) 2.68656 + 3.43255i 0.194903 + 0.249023i
\(191\) 1.89205i 0.136904i 0.997654 + 0.0684520i \(0.0218060\pi\)
−0.997654 + 0.0684520i \(0.978194\pi\)
\(192\) −1.22385 + 1.22564i −0.0883237 + 0.0884530i
\(193\) −17.5241 + 10.1175i −1.26141 + 0.728277i −0.973348 0.229334i \(-0.926345\pi\)
−0.288065 + 0.957611i \(0.593012\pi\)
\(194\) −8.27383 4.77690i −0.594026 0.342961i
\(195\) −1.66201 + 1.66444i −0.119019 + 0.119193i
\(196\) −1.65013 + 2.85811i −0.117867 + 0.204151i
\(197\) 8.39151i 0.597871i 0.954273 + 0.298935i \(0.0966315\pi\)
−0.954273 + 0.298935i \(0.903369\pi\)
\(198\) −4.23836 7.31633i −0.301207 0.519949i
\(199\) −0.537524 + 0.931019i −0.0381041 + 0.0659982i −0.884449 0.466638i \(-0.845465\pi\)
0.846344 + 0.532636i \(0.178799\pi\)
\(200\) 0.500000 0.866025i 0.0353553 0.0612372i
\(201\) 17.6830 4.75200i 1.24726 0.335180i
\(202\) 19.6001i 1.37906i
\(203\) −3.96205 + 6.86247i −0.278081 + 0.481651i
\(204\) 3.52242 + 3.51727i 0.246619 + 0.246258i
\(205\) −10.1844 5.87998i −0.711311 0.410676i
\(206\) 1.22320 0.706213i 0.0852242 0.0492042i
\(207\) −5.59667 + 9.72654i −0.388995 + 0.676041i
\(208\) 1.35802i 0.0941617i
\(209\) −4.59236 + 11.3947i −0.317660 + 0.788186i
\(210\) −5.36838 + 1.44266i −0.370453 + 0.0995531i
\(211\) 21.4433 12.3803i 1.47622 0.852293i 0.476576 0.879133i \(-0.341878\pi\)
0.999640 + 0.0268399i \(0.00854442\pi\)
\(212\) −1.96402 3.40178i −0.134890 0.233636i
\(213\) −2.76359 0.738337i −0.189358 0.0505900i
\(214\) 0.0665203 + 0.115217i 0.00454724 + 0.00787604i
\(215\) −4.57030 2.63866i −0.311692 0.179955i
\(216\) 3.68229 + 3.66616i 0.250548 + 0.249451i
\(217\) 19.9134i 1.35181i
\(218\) 9.72530 + 5.61490i 0.658680 + 0.380289i
\(219\) 15.1329 + 4.04298i 1.02258 + 0.273199i
\(220\) 2.81844 0.190019
\(221\) 3.90287 0.262535
\(222\) −5.28306 + 19.7745i −0.354576 + 1.32718i
\(223\) 5.77968 3.33690i 0.387036 0.223455i −0.293839 0.955855i \(-0.594933\pi\)
0.680875 + 0.732400i \(0.261600\pi\)
\(224\) −1.60470 + 2.77942i −0.107219 + 0.185708i
\(225\) −2.60027 1.49620i −0.173351 0.0997466i
\(226\) 5.92548 + 10.2632i 0.394157 + 0.682701i
\(227\) 24.0873 1.59873 0.799367 0.600843i \(-0.205168\pi\)
0.799367 + 0.600843i \(0.205168\pi\)
\(228\) 0.908172 7.49501i 0.0601451 0.496369i
\(229\) −21.6662 −1.43174 −0.715872 0.698232i \(-0.753970\pi\)
−0.715872 + 0.698232i \(0.753970\pi\)
\(230\) −1.87030 3.23945i −0.123324 0.213603i
\(231\) −11.0865 11.0703i −0.729440 0.728374i
\(232\) −1.23451 + 2.13824i −0.0810498 + 0.140382i
\(233\) 15.3569 8.86633i 1.00607 0.580852i 0.0960285 0.995379i \(-0.469386\pi\)
0.910037 + 0.414526i \(0.136053\pi\)
\(234\) 4.07405 0.00595899i 0.266329 0.000389552i
\(235\) 9.50293 0.619903
\(236\) −3.70638 −0.241265
\(237\) −3.89807 + 14.5905i −0.253207 + 0.947752i
\(238\) 7.98790 + 4.61182i 0.517779 + 0.298940i
\(239\) 10.0104i 0.647519i −0.946139 0.323759i \(-0.895053\pi\)
0.946139 0.323759i \(-0.104947\pi\)
\(240\) −1.67270 + 0.449511i −0.107973 + 0.0290158i
\(241\) 4.57707 + 2.64257i 0.294835 + 0.170223i 0.640120 0.768275i \(-0.278884\pi\)
−0.345285 + 0.938498i \(0.612218\pi\)
\(242\) −1.52820 2.64692i −0.0982365 0.170151i
\(243\) 10.9823 11.0629i 0.704516 0.709688i
\(244\) 0.946137 + 1.63876i 0.0605702 + 0.104911i
\(245\) −2.85811 + 1.65013i −0.182598 + 0.105423i
\(246\) 5.28624 + 19.6709i 0.337038 + 1.25417i
\(247\) −3.64840 4.66147i −0.232142 0.296602i
\(248\) 6.20471i 0.393999i
\(249\) 9.82173 + 9.80738i 0.622427 + 0.621517i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) 20.3061 + 11.7237i 1.28171 + 0.739996i 0.977161 0.212501i \(-0.0681609\pi\)
0.304549 + 0.952497i \(0.401494\pi\)
\(252\) 8.34530 + 4.80190i 0.525705 + 0.302491i
\(253\) 5.27131 9.13018i 0.331405 0.574010i
\(254\) 1.38460i 0.0868775i
\(255\) 1.29187 + 4.80725i 0.0808999 + 0.301042i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −1.54668 + 2.67892i −0.0964790 + 0.167106i −0.910225 0.414114i \(-0.864091\pi\)
0.813746 + 0.581221i \(0.197425\pi\)
\(258\) 2.37222 + 8.82741i 0.147688 + 0.549571i
\(259\) 37.9262i 2.35662i
\(260\) −0.679010 + 1.17608i −0.0421104 + 0.0729373i
\(261\) 6.42013 + 3.69415i 0.397396 + 0.228662i
\(262\) −16.9209 9.76931i −1.04538 0.603550i
\(263\) 6.03680 3.48535i 0.372245 0.214916i −0.302194 0.953247i \(-0.597719\pi\)
0.674439 + 0.738331i \(0.264386\pi\)
\(264\) −3.45439 3.44934i −0.212603 0.212292i
\(265\) 3.92804i 0.241298i
\(266\) −1.95886 13.8516i −0.120106 0.849298i
\(267\) −1.18581 4.41260i −0.0725706 0.270047i
\(268\) 9.15518 5.28574i 0.559241 0.322878i
\(269\) −5.00015 8.66052i −0.304865 0.528041i 0.672366 0.740218i \(-0.265278\pi\)
−0.977231 + 0.212177i \(0.931945\pi\)
\(270\) 1.35587 + 5.01614i 0.0825157 + 0.305272i
\(271\) −8.30819 14.3902i −0.504687 0.874143i −0.999985 0.00542045i \(-0.998275\pi\)
0.495298 0.868723i \(-0.335059\pi\)
\(272\) 2.48891 + 1.43697i 0.150912 + 0.0871291i
\(273\) 7.29036 1.95916i 0.441233 0.118574i
\(274\) 4.72492i 0.285443i
\(275\) 2.44084 + 1.40922i 0.147188 + 0.0849791i
\(276\) −1.67228 + 6.25936i −0.100660 + 0.376769i
\(277\) 28.0673 1.68640 0.843199 0.537601i \(-0.180669\pi\)
0.843199 + 0.537601i \(0.180669\pi\)
\(278\) −2.58344 −0.154944
\(279\) 18.6141 0.0272263i 1.11440 0.00163000i
\(280\) −2.77942 + 1.60470i −0.166102 + 0.0958992i
\(281\) −2.46716 + 4.27325i −0.147179 + 0.254921i −0.930184 0.367094i \(-0.880353\pi\)
0.783005 + 0.622015i \(0.213686\pi\)
\(282\) −11.6472 11.6301i −0.693579 0.692565i
\(283\) −4.00792 6.94192i −0.238246 0.412654i 0.721965 0.691929i \(-0.243239\pi\)
−0.960211 + 0.279275i \(0.909906\pi\)
\(284\) −1.65152 −0.0979999
\(285\) 4.53401 6.03679i 0.268571 0.357588i
\(286\) −3.82749 −0.226324
\(287\) 18.8712 + 32.6859i 1.11393 + 1.92939i
\(288\) 2.60027 + 1.49620i 0.153222 + 0.0881643i
\(289\) −4.37023 + 7.56947i −0.257073 + 0.445263i
\(290\) −2.13824 + 1.23451i −0.125562 + 0.0724931i
\(291\) −4.27116 + 15.9869i −0.250380 + 0.937171i
\(292\) 9.04340 0.529225
\(293\) 18.1274 1.05902 0.529508 0.848305i \(-0.322376\pi\)
0.529508 + 0.848305i \(0.322376\pi\)
\(294\) 5.52253 + 1.47543i 0.322080 + 0.0860488i
\(295\) −3.20982 1.85319i −0.186883 0.107897i
\(296\) 11.8172i 0.686862i
\(297\) −10.3329 + 10.3783i −0.599573 + 0.602210i
\(298\) −10.2414 5.91288i −0.593269 0.342524i
\(299\) 2.53990 + 4.39923i 0.146886 + 0.254414i
\(300\) −1.67336 0.447064i −0.0966115 0.0258113i
\(301\) 8.46854 + 14.6679i 0.488118 + 0.845446i
\(302\) 4.73555 2.73407i 0.272500 0.157328i
\(303\) −32.7851 + 8.81045i −1.88346 + 0.506147i
\(304\) −0.610351 4.31596i −0.0350060 0.247537i
\(305\) 1.89227i 0.108351i
\(306\) 4.29998 7.47301i 0.245814 0.427204i
\(307\) −18.4910 + 10.6758i −1.05534 + 0.609300i −0.924139 0.382056i \(-0.875216\pi\)
−0.131200 + 0.991356i \(0.541883\pi\)
\(308\) −7.83364 4.52275i −0.446363 0.257708i
\(309\) −1.73113 1.72860i −0.0984804 0.0983364i
\(310\) −3.10235 + 5.37344i −0.176202 + 0.305191i
\(311\) 11.1447i 0.631960i −0.948766 0.315980i \(-0.897667\pi\)
0.948766 0.315980i \(-0.102333\pi\)
\(312\) 2.27156 0.610445i 0.128602 0.0345596i
\(313\) 0.759314 1.31517i 0.0429189 0.0743378i −0.843768 0.536708i \(-0.819668\pi\)
0.886687 + 0.462370i \(0.153001\pi\)
\(314\) 8.57463 14.8517i 0.483894 0.838129i
\(315\) 4.82629 + 8.33122i 0.271931 + 0.469411i
\(316\) 8.71926i 0.490497i
\(317\) −1.84677 + 3.19870i −0.103725 + 0.179657i −0.913217 0.407475i \(-0.866409\pi\)
0.809492 + 0.587131i \(0.199743\pi\)
\(318\) −4.80733 + 4.81437i −0.269582 + 0.269976i
\(319\) −6.02650 3.47940i −0.337419 0.194809i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 0.162822 0.163060i 0.00908782 0.00910112i
\(322\) 12.0051i 0.669016i
\(323\) −12.4038 + 1.75411i −0.690166 + 0.0976014i
\(324\) 4.47718 7.80736i 0.248732 0.433742i
\(325\) −1.17608 + 0.679010i −0.0652371 + 0.0376647i
\(326\) −1.53526 2.65915i −0.0850303 0.147277i
\(327\) 5.02044 18.7915i 0.277631 1.03917i
\(328\) 5.87998 + 10.1844i 0.324668 + 0.562341i
\(329\) −26.4127 15.2494i −1.45618 0.840725i
\(330\) −1.26692 4.71441i −0.0697416 0.259520i
\(331\) 30.9937i 1.70357i −0.523892 0.851784i \(-0.675521\pi\)
0.523892 0.851784i \(-0.324479\pi\)
\(332\) 6.93994 + 4.00678i 0.380879 + 0.219900i
\(333\) 35.4516 0.0518541i 1.94274 0.00284158i
\(334\) −23.3474 −1.27751
\(335\) 10.5715 0.577582
\(336\) 5.37049 + 1.43481i 0.292984 + 0.0782752i
\(337\) 11.8763 6.85679i 0.646944 0.373513i −0.140340 0.990103i \(-0.544820\pi\)
0.787284 + 0.616590i \(0.211486\pi\)
\(338\) −5.57789 + 9.66119i −0.303397 + 0.525500i
\(339\) 14.5038 14.5250i 0.787738 0.788891i
\(340\) 1.43697 + 2.48891i 0.0779307 + 0.134980i
\(341\) −17.4876 −0.947006
\(342\) −12.9452 + 1.84999i −0.699995 + 0.100036i
\(343\) −11.8739 −0.641133
\(344\) 2.63866 + 4.57030i 0.142267 + 0.246414i
\(345\) −4.57792 + 4.58462i −0.246467 + 0.246828i
\(346\) 4.79757 8.30963i 0.257919 0.446728i
\(347\) −16.3458 + 9.43723i −0.877486 + 0.506617i −0.869829 0.493354i \(-0.835771\pi\)
−0.00765736 + 0.999971i \(0.502437\pi\)
\(348\) 4.13157 + 1.10381i 0.221475 + 0.0591706i
\(349\) −8.31293 −0.444981 −0.222491 0.974935i \(-0.571419\pi\)
−0.222491 + 0.974935i \(0.571419\pi\)
\(350\) −3.20940 −0.171550
\(351\) −1.84130 6.81201i −0.0982813 0.363598i
\(352\) −2.44084 1.40922i −0.130097 0.0751116i
\(353\) 32.9930i 1.75604i −0.478623 0.878020i \(-0.658864\pi\)
0.478623 0.878020i \(-0.341136\pi\)
\(354\) 1.66606 + 6.19968i 0.0885500 + 0.329509i
\(355\) −1.43026 0.825761i −0.0759104 0.0438269i
\(356\) −1.31900 2.28458i −0.0699070 0.121083i
\(357\) 4.12355 15.4345i 0.218242 0.816878i
\(358\) 9.19621 + 15.9283i 0.486035 + 0.841837i
\(359\) −15.5156 + 8.95794i −0.818882 + 0.472782i −0.850031 0.526733i \(-0.823417\pi\)
0.0311486 + 0.999515i \(0.490083\pi\)
\(360\) 1.50380 + 2.59588i 0.0792571 + 0.136815i
\(361\) 13.6901 + 13.1750i 0.720533 + 0.693421i
\(362\) 14.8731i 0.781715i
\(363\) −3.74057 + 3.74605i −0.196329 + 0.196617i
\(364\) 3.77451 2.17921i 0.197838 0.114222i
\(365\) 7.83182 + 4.52170i 0.409936 + 0.236677i
\(366\) 2.31586 2.31925i 0.121052 0.121229i
\(367\) −7.66209 + 13.2711i −0.399958 + 0.692747i −0.993720 0.111893i \(-0.964308\pi\)
0.593763 + 0.804640i \(0.297642\pi\)
\(368\) 3.74059i 0.194992i
\(369\) 30.5274 17.6846i 1.58920 0.920624i
\(370\) −5.90861 + 10.2340i −0.307174 + 0.532041i
\(371\) −6.30333 + 10.9177i −0.327253 + 0.566818i
\(372\) 10.3786 2.78909i 0.538108 0.144607i
\(373\) 8.21379i 0.425294i −0.977129 0.212647i \(-0.931792\pi\)
0.977129 0.212647i \(-0.0682084\pi\)
\(374\) −4.05001 + 7.01483i −0.209421 + 0.362728i
\(375\) −1.22564 1.22385i −0.0632918 0.0631993i
\(376\) −8.22978 4.75146i −0.424418 0.245038i
\(377\) 2.90377 1.67649i 0.149552 0.0863438i
\(378\) 4.28085 16.1177i 0.220183 0.829007i
\(379\) 30.2639i 1.55455i 0.629161 + 0.777275i \(0.283399\pi\)
−0.629161 + 0.777275i \(0.716601\pi\)
\(380\) 1.62940 4.04290i 0.0835864 0.207397i
\(381\) 2.31603 0.622393i 0.118654 0.0318862i
\(382\) 1.63856 0.946026i 0.0838363 0.0484029i
\(383\) 10.9707 + 19.0019i 0.560578 + 0.970949i 0.997446 + 0.0714239i \(0.0227543\pi\)
−0.436868 + 0.899526i \(0.643912\pi\)
\(384\) 1.67336 + 0.447064i 0.0853933 + 0.0228141i
\(385\) −4.52275 7.83364i −0.230501 0.399239i
\(386\) 17.5241 + 10.1175i 0.891953 + 0.514970i
\(387\) 13.6993 7.93604i 0.696375 0.403412i
\(388\) 9.55380i 0.485021i
\(389\) −20.5871 11.8860i −1.04381 0.602643i −0.122899 0.992419i \(-0.539219\pi\)
−0.920910 + 0.389776i \(0.872553\pi\)
\(390\) 2.27245 + 0.607122i 0.115070 + 0.0307428i
\(391\) 10.7502 0.543663
\(392\) 3.30026 0.166688
\(393\) −8.73502 + 32.6952i −0.440623 + 1.64925i
\(394\) 7.26726 4.19576i 0.366119 0.211379i
\(395\) −4.35963 + 7.55110i −0.219357 + 0.379937i
\(396\) −4.21694 + 7.32869i −0.211909 + 0.368281i
\(397\) −15.7374 27.2581i −0.789840 1.36804i −0.926065 0.377364i \(-0.876830\pi\)
0.136225 0.990678i \(-0.456503\pi\)
\(398\) 1.07505 0.0538873
\(399\) −22.2892 + 9.50306i −1.11585 + 0.475748i
\(400\) −1.00000 −0.0500000
\(401\) −14.4572 25.0407i −0.721960 1.25047i −0.960213 0.279268i \(-0.909908\pi\)
0.238253 0.971203i \(-0.423425\pi\)
\(402\) −12.9568 12.9379i −0.646229 0.645284i
\(403\) 4.21306 7.29723i 0.209867 0.363501i
\(404\) −16.9742 + 9.80004i −0.844496 + 0.487570i
\(405\) 7.78103 4.52278i 0.386643 0.224739i
\(406\) 7.92410 0.393266
\(407\) −33.3061 −1.65092
\(408\) 1.28484 4.80914i 0.0636088 0.238088i
\(409\) 28.2766 + 16.3255i 1.39819 + 0.807244i 0.994203 0.107522i \(-0.0342916\pi\)
0.403985 + 0.914766i \(0.367625\pi\)
\(410\) 11.7600i 0.580783i
\(411\) −7.90339 + 2.12390i −0.389846 + 0.104764i
\(412\) −1.22320 0.706213i −0.0602626 0.0347926i
\(413\) 5.94763 + 10.3016i 0.292664 + 0.506909i
\(414\) 11.2218 0.0164137i 0.551519 0.000806691i
\(415\) 4.00678 + 6.93994i 0.196685 + 0.340668i
\(416\) 1.17608 0.679010i 0.0576620 0.0332912i
\(417\) 1.16128 + 4.32133i 0.0568684 + 0.211616i
\(418\) 12.1643 1.72024i 0.594973 0.0841395i
\(419\) 6.89309i 0.336750i 0.985723 + 0.168375i \(0.0538519\pi\)
−0.985723 + 0.168375i \(0.946148\pi\)
\(420\) 3.93357 + 3.92782i 0.191939 + 0.191658i
\(421\) −16.3349 + 9.43094i −0.796113 + 0.459636i −0.842110 0.539306i \(-0.818687\pi\)
0.0459975 + 0.998942i \(0.485353\pi\)
\(422\) −21.4433 12.3803i −1.04384 0.602662i
\(423\) −14.2183 + 24.7102i −0.691316 + 1.20145i
\(424\) −1.96402 + 3.40178i −0.0953813 + 0.165205i
\(425\) 2.87394i 0.139407i
\(426\) 0.742378 + 2.76251i 0.0359683 + 0.133844i
\(427\) 3.03654 5.25943i 0.146948 0.254522i
\(428\) 0.0665203 0.115217i 0.00321538 0.00556920i
\(429\) 1.72050 + 6.40227i 0.0830666 + 0.309104i
\(430\) 5.27733i 0.254495i
\(431\) 5.45320 9.44522i 0.262671 0.454960i −0.704280 0.709923i \(-0.748730\pi\)
0.966951 + 0.254963i \(0.0820632\pi\)
\(432\) 1.33385 5.02204i 0.0641748 0.241623i
\(433\) −16.5710 9.56729i −0.796353 0.459774i 0.0458415 0.998949i \(-0.485403\pi\)
−0.842194 + 0.539174i \(0.818736\pi\)
\(434\) 17.2455 9.95670i 0.827811 0.477937i
\(435\) 3.02614 + 3.02172i 0.145092 + 0.144880i
\(436\) 11.2298i 0.537810i
\(437\) −10.0493 12.8398i −0.480724 0.614210i
\(438\) −4.06511 15.1269i −0.194239 0.722793i
\(439\) 16.7584 9.67549i 0.799837 0.461786i −0.0435774 0.999050i \(-0.513876\pi\)
0.843414 + 0.537264i \(0.180542\pi\)
\(440\) −1.40922 2.44084i −0.0671819 0.116362i
\(441\) −0.0144816 9.90078i −0.000689599 0.471466i
\(442\) −1.95143 3.37998i −0.0928202 0.160769i
\(443\) 16.8746 + 9.74255i 0.801736 + 0.462882i 0.844078 0.536221i \(-0.180149\pi\)
−0.0423420 + 0.999103i \(0.513482\pi\)
\(444\) 19.7667 5.31197i 0.938087 0.252095i
\(445\) 2.63801i 0.125053i
\(446\) −5.77968 3.33690i −0.273676 0.158007i
\(447\) −5.28687 + 19.7888i −0.250061 + 0.935976i
\(448\) 3.20940 0.151630
\(449\) 10.3060 0.486372 0.243186 0.969980i \(-0.421807\pi\)
0.243186 + 0.969980i \(0.421807\pi\)
\(450\) 0.00438801 + 3.00000i 0.000206853 + 0.141421i
\(451\) −28.7042 + 16.5724i −1.35163 + 0.780362i
\(452\) 5.92548 10.2632i 0.278711 0.482742i
\(453\) −6.70197 6.69218i −0.314886 0.314426i
\(454\) −12.0437 20.8603i −0.565238 0.979020i
\(455\) 4.35843 0.204326
\(456\) −6.94496 + 2.96101i −0.325227 + 0.138662i
\(457\) −3.18775 −0.149117 −0.0745583 0.997217i \(-0.523755\pi\)
−0.0745583 + 0.997217i \(0.523755\pi\)
\(458\) 10.8331 + 18.7635i 0.506198 + 0.876760i
\(459\) −14.4330 3.83340i −0.673676 0.178928i
\(460\) −1.87030 + 3.23945i −0.0872030 + 0.151040i
\(461\) −28.6530 + 16.5428i −1.33450 + 0.770477i −0.985986 0.166825i \(-0.946648\pi\)
−0.348518 + 0.937302i \(0.613315\pi\)
\(462\) −4.04392 + 15.1364i −0.188140 + 0.704208i
\(463\) −5.36206 −0.249196 −0.124598 0.992207i \(-0.539764\pi\)
−0.124598 + 0.992207i \(0.539764\pi\)
\(464\) 2.46903 0.114622
\(465\) 10.3827 + 2.77390i 0.481487 + 0.128637i
\(466\) −15.3569 8.86633i −0.711396 0.410725i
\(467\) 41.3216i 1.91213i −0.293148 0.956067i \(-0.594703\pi\)
0.293148 0.956067i \(-0.405297\pi\)
\(468\) −2.04219 3.52525i −0.0944001 0.162955i
\(469\) −29.3826 16.9641i −1.35676 0.783328i
\(470\) −4.75146 8.22978i −0.219169 0.379611i
\(471\) −28.6969 7.66681i −1.32228 0.353268i
\(472\) 1.85319 + 3.20982i 0.0853000 + 0.147744i
\(473\) −12.8811 + 7.43692i −0.592274 + 0.341950i
\(474\) 14.5847 3.91940i 0.669899 0.180024i
\(475\) 3.43255 2.68656i 0.157496 0.123268i
\(476\) 9.22363i 0.422764i
\(477\) 10.2140 + 5.87713i 0.467665 + 0.269095i
\(478\) −8.66926 + 5.00520i −0.396523 + 0.228932i
\(479\) −6.39802 3.69390i −0.292333 0.168779i 0.346660 0.937991i \(-0.387316\pi\)
−0.638994 + 0.769212i \(0.720649\pi\)
\(480\) 1.22564 + 1.22385i 0.0559426 + 0.0558608i
\(481\) 8.02401 13.8980i 0.365863 0.633694i
\(482\) 5.28515i 0.240732i
\(483\) 20.0809 5.39641i 0.913713 0.245545i
\(484\) −1.52820 + 2.64692i −0.0694637 + 0.120315i
\(485\) −4.77690 + 8.27383i −0.216908 + 0.375695i
\(486\) −15.0719 3.97950i −0.683677 0.180514i
\(487\) 2.64014i 0.119636i −0.998209 0.0598180i \(-0.980948\pi\)
0.998209 0.0598180i \(-0.0190520\pi\)
\(488\) 0.946137 1.63876i 0.0428296 0.0741831i
\(489\) −3.75786 + 3.76336i −0.169936 + 0.170185i
\(490\) 2.85811 + 1.65013i 0.129116 + 0.0745453i
\(491\) 14.1387 8.16297i 0.638070 0.368390i −0.145801 0.989314i \(-0.546576\pi\)
0.783871 + 0.620924i \(0.213243\pi\)
\(492\) 14.3924 14.4135i 0.648860 0.649810i
\(493\) 7.09584i 0.319580i
\(494\) −2.21275 + 5.49034i −0.0995565 + 0.247022i
\(495\) −7.31633 + 4.23836i −0.328844 + 0.190500i
\(496\) 5.37344 3.10235i 0.241274 0.139300i
\(497\) 2.65020 + 4.59028i 0.118878 + 0.205902i
\(498\) 3.58257 13.4096i 0.160539 0.600897i
\(499\) −6.98906 12.1054i −0.312873 0.541912i 0.666110 0.745854i \(-0.267958\pi\)
−0.978983 + 0.203941i \(0.934625\pi\)
\(500\) −0.866025 0.500000i −0.0387298 0.0223607i
\(501\) 10.4949 + 39.0533i 0.468879 + 1.74477i
\(502\) 23.4475i 1.04651i
\(503\) 16.0900 + 9.28957i 0.717418 + 0.414201i 0.813802 0.581143i \(-0.197394\pi\)
−0.0963836 + 0.995344i \(0.530728\pi\)
\(504\) −0.0140829 9.62820i −0.000627301 0.428874i
\(505\) −19.6001 −0.872192
\(506\) −10.5426 −0.468677
\(507\) 18.6676 + 4.98735i 0.829059 + 0.221496i
\(508\) 1.19910 0.692300i 0.0532014 0.0307158i
\(509\) −7.26580 + 12.5847i −0.322051 + 0.557808i −0.980911 0.194457i \(-0.937706\pi\)
0.658860 + 0.752265i \(0.271039\pi\)
\(510\) 3.51727 3.52242i 0.155747 0.155975i
\(511\) −14.5120 25.1355i −0.641971 1.11193i
\(512\) 1.00000 0.0441942
\(513\) 8.91349 + 20.8219i 0.393540 + 0.919307i
\(514\) 3.09335 0.136442
\(515\) −0.706213 1.22320i −0.0311195 0.0539005i
\(516\) 6.45865 6.46811i 0.284326 0.284743i
\(517\) 13.3917 23.1951i 0.588967 1.02012i
\(518\) 32.8451 18.9631i 1.44313 0.833191i
\(519\) −16.0561 4.28964i −0.704785 0.188294i
\(520\) 1.35802 0.0595531
\(521\) 36.4420 1.59655 0.798276 0.602291i \(-0.205745\pi\)
0.798276 + 0.602291i \(0.205745\pi\)
\(522\) −0.0108341 7.40707i −0.000474196 0.324199i
\(523\) −17.8504 10.3060i −0.780545 0.450648i 0.0560782 0.998426i \(-0.482140\pi\)
−0.836624 + 0.547778i \(0.815474\pi\)
\(524\) 19.5386i 0.853549i
\(525\) 1.44266 + 5.36838i 0.0629629 + 0.234295i
\(526\) −6.03680 3.48535i −0.263217 0.151968i
\(527\) −8.91598 15.4429i −0.388386 0.672705i
\(528\) −1.26002 + 4.71626i −0.0548355 + 0.205249i
\(529\) −4.50399 7.80114i −0.195826 0.339180i
\(530\) −3.40178 + 1.96402i −0.147764 + 0.0853116i
\(531\) 9.62131 5.57365i 0.417529 0.241876i
\(532\) −11.0164 + 8.62224i −0.477623 + 0.373822i
\(533\) 15.9703i 0.691749i
\(534\) −3.22852 + 3.23325i −0.139712 + 0.139916i
\(535\) 0.115217 0.0665203i 0.00498125 0.00287592i
\(536\) −9.15518 5.28574i −0.395443 0.228309i
\(537\) 22.5095 22.5425i 0.971358 0.972780i
\(538\) −5.00015 + 8.66052i −0.215572 + 0.373381i
\(539\) 9.30159i 0.400648i
\(540\) 3.66616 3.68229i 0.157767 0.158460i
\(541\) −20.9329 + 36.2568i −0.899975 + 1.55880i −0.0724514 + 0.997372i \(0.523082\pi\)
−0.827524 + 0.561431i \(0.810251\pi\)
\(542\) −8.30819 + 14.3902i −0.356868 + 0.618113i
\(543\) 24.8784 6.68565i 1.06763 0.286909i
\(544\) 2.87394i 0.123219i
\(545\) 5.61490 9.72530i 0.240516 0.416586i
\(546\) −5.34187 5.33406i −0.228611 0.228277i
\(547\) −0.131381 0.0758528i −0.00561744 0.00324323i 0.497189 0.867642i \(-0.334366\pi\)
−0.502806 + 0.864399i \(0.667699\pi\)
\(548\) −4.09190 + 2.36246i −0.174797 + 0.100919i
\(549\) −4.92042 2.83122i −0.209998 0.120833i
\(550\) 2.81844i 0.120179i
\(551\) −8.47506 + 6.63318i −0.361050 + 0.282583i
\(552\) 6.25690 1.68144i 0.266311 0.0715667i
\(553\) 24.2345 13.9918i 1.03056 0.594992i
\(554\) −14.0336 24.3070i −0.596232 1.03270i
\(555\) 19.7745 + 5.28306i 0.839380 + 0.224253i
\(556\) 1.29172 + 2.23732i 0.0547811 + 0.0948837i
\(557\) −8.93906 5.16097i −0.378760 0.218677i 0.298518 0.954404i \(-0.403508\pi\)
−0.677279 + 0.735727i \(0.736841\pi\)
\(558\) −9.33063 16.1067i −0.394997 0.681850i
\(559\) 7.16671i 0.303120i
\(560\) 2.77942 + 1.60470i 0.117452 + 0.0678110i
\(561\) 13.5543 + 3.62123i 0.572261 + 0.152888i
\(562\) 4.93433 0.208142
\(563\) 42.9116 1.80851 0.904255 0.426994i \(-0.140427\pi\)
0.904255 + 0.426994i \(0.140427\pi\)
\(564\) −4.24842 + 15.9018i −0.178891 + 0.669588i
\(565\) 10.2632 5.92548i 0.431778 0.249287i
\(566\) −4.00792 + 6.94192i −0.168465 + 0.291790i
\(567\) −28.8845 + 0.0844972i −1.21303 + 0.00354855i
\(568\) 0.825761 + 1.43026i 0.0346482 + 0.0600124i
\(569\) −14.9370 −0.626192 −0.313096 0.949722i \(-0.601366\pi\)
−0.313096 + 0.949722i \(0.601366\pi\)
\(570\) −7.49501 0.908172i −0.313932 0.0380391i
\(571\) −9.17120 −0.383803 −0.191901 0.981414i \(-0.561465\pi\)
−0.191901 + 0.981414i \(0.561465\pi\)
\(572\) 1.91375 + 3.31471i 0.0800178 + 0.138595i
\(573\) −2.31897 2.31558i −0.0968765 0.0967349i
\(574\) 18.8712 32.6859i 0.787670 1.36428i
\(575\) −3.23945 + 1.87030i −0.135094 + 0.0779967i
\(576\) −0.00438801 3.00000i −0.000182834 0.125000i
\(577\) 11.1217 0.463001 0.231500 0.972835i \(-0.425637\pi\)
0.231500 + 0.972835i \(0.425637\pi\)
\(578\) 8.74047 0.363555
\(579\) 9.04638 33.8606i 0.375955 1.40720i
\(580\) 2.13824 + 1.23451i 0.0887856 + 0.0512604i
\(581\) 25.7187i 1.06699i
\(582\) 15.9807 4.29454i 0.662420 0.178014i
\(583\) −9.58772 5.53547i −0.397083 0.229256i
\(584\) −4.52170 7.83182i −0.187109 0.324083i
\(585\) −0.00595899 4.07405i −0.000246374 0.168441i
\(586\) −9.06372 15.6988i −0.374419 0.648513i
\(587\) −2.96690 + 1.71294i −0.122457 + 0.0707005i −0.559977 0.828508i \(-0.689190\pi\)
0.437520 + 0.899209i \(0.355857\pi\)
\(588\) −1.48350 5.52036i −0.0611787 0.227656i
\(589\) −10.1099 + 25.0850i −0.416573 + 1.03361i
\(590\) 3.70638i 0.152589i
\(591\) −10.2850 10.2699i −0.423067 0.422449i
\(592\) 10.2340 5.90861i 0.420616 0.242842i
\(593\) 37.6958 + 21.7637i 1.54798 + 0.893727i 0.998296 + 0.0583555i \(0.0185857\pi\)
0.549685 + 0.835372i \(0.314748\pi\)
\(594\) 14.1543 + 3.75937i 0.580758 + 0.154249i
\(595\) 4.61182 7.98790i 0.189066 0.327472i
\(596\) 11.8258i 0.484402i
\(597\) −0.483246 1.79824i −0.0197780 0.0735970i
\(598\) 2.53990 4.39923i 0.103864 0.179898i
\(599\) −8.31767 + 14.4066i −0.339851 + 0.588639i −0.984404 0.175920i \(-0.943710\pi\)
0.644554 + 0.764559i \(0.277043\pi\)
\(600\) 0.449511 + 1.67270i 0.0183512 + 0.0682879i
\(601\) 33.9509i 1.38489i −0.721472 0.692444i \(-0.756534\pi\)
0.721472 0.692444i \(-0.243466\pi\)
\(602\) 8.46854 14.6679i 0.345152 0.597820i
\(603\) −15.8170 + 27.4887i −0.644120 + 1.11943i
\(604\) −4.73555 2.73407i −0.192687 0.111248i
\(605\) −2.64692 + 1.52820i −0.107613 + 0.0621302i
\(606\) 24.0226 + 23.9875i 0.975853 + 0.974427i
\(607\) 25.0735i 1.01770i 0.860854 + 0.508852i \(0.169930\pi\)
−0.860854 + 0.508852i \(0.830070\pi\)
\(608\) −3.43255 + 2.68656i −0.139208 + 0.108954i
\(609\) −3.56197 13.2547i −0.144338 0.537107i
\(610\) 1.63876 0.946137i 0.0663514 0.0383080i
\(611\) 6.45258 + 11.1762i 0.261043 + 0.452141i
\(612\) −8.62181 + 0.0126109i −0.348516 + 0.000509764i
\(613\) −7.45511 12.9126i −0.301109 0.521536i 0.675278 0.737563i \(-0.264024\pi\)
−0.976387 + 0.216027i \(0.930690\pi\)
\(614\) 18.4910 + 10.6758i 0.746238 + 0.430840i
\(615\) 19.6709 5.28624i 0.793209 0.213162i
\(616\) 9.04550i 0.364454i
\(617\) 5.34291 + 3.08473i 0.215097 + 0.124187i 0.603678 0.797228i \(-0.293701\pi\)
−0.388581 + 0.921415i \(0.627035\pi\)
\(618\) −0.631445 + 2.36350i −0.0254004 + 0.0950738i
\(619\) 30.6509 1.23196 0.615982 0.787760i \(-0.288759\pi\)
0.615982 + 0.787760i \(0.288759\pi\)
\(620\) 6.20471 0.249187
\(621\) −5.07176 18.7633i −0.203523 0.752946i
\(622\) −9.65163 + 5.57237i −0.386995 + 0.223432i
\(623\) −4.23321 + 7.33214i −0.169600 + 0.293756i
\(624\) −1.66444 1.66201i −0.0666310 0.0665337i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −1.51863 −0.0606965
\(627\) −8.34542 19.5739i −0.333284 0.781708i
\(628\) −17.1493 −0.684330
\(629\) −16.9810 29.4120i −0.677077 1.17273i
\(630\) 4.80190 8.34530i 0.191312 0.332485i
\(631\) −4.52634 + 7.83986i −0.180191 + 0.312100i −0.941945 0.335766i \(-0.891005\pi\)
0.761755 + 0.647866i \(0.224338\pi\)
\(632\) 7.55110 4.35963i 0.300367 0.173417i
\(633\) −11.0696 + 41.4333i −0.439975 + 1.64683i
\(634\) 3.69354 0.146689
\(635\) 1.38460 0.0549462
\(636\) 6.57303 + 1.75609i 0.260638 + 0.0696334i
\(637\) −3.88137 2.24091i −0.153785 0.0887881i
\(638\) 6.95880i 0.275502i
\(639\) 4.28715 2.48356i 0.169597 0.0982480i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) −7.29491 12.6352i −0.288132 0.499059i 0.685232 0.728325i \(-0.259701\pi\)
−0.973364 + 0.229266i \(0.926367\pi\)
\(642\) −0.222625 0.0594777i −0.00878630 0.00234740i
\(643\) −13.5090 23.3983i −0.532743 0.922739i −0.999269 0.0382309i \(-0.987828\pi\)
0.466526 0.884508i \(-0.345506\pi\)
\(644\) 10.3967 6.00253i 0.409687 0.236533i
\(645\) 8.82741 2.37222i 0.347579 0.0934060i
\(646\) 7.72101 + 9.86495i 0.303779 + 0.388131i
\(647\) 10.8293i 0.425743i 0.977080 + 0.212872i \(0.0682816\pi\)
−0.977080 + 0.212872i \(0.931718\pi\)
\(648\) −8.99996 + 0.0263280i −0.353552 + 0.00103426i
\(649\) −9.04668 + 5.22310i −0.355113 + 0.205025i
\(650\) 1.17608 + 0.679010i 0.0461296 + 0.0266329i
\(651\) −24.4067 24.3710i −0.956573 0.955175i
\(652\) −1.53526 + 2.65915i −0.0601255 + 0.104140i
\(653\) 39.3283i 1.53904i 0.638625 + 0.769518i \(0.279503\pi\)
−0.638625 + 0.769518i \(0.720497\pi\)
\(654\) −18.7841 + 5.04792i −0.734518 + 0.197389i
\(655\) −9.76931 + 16.9209i −0.381719 + 0.661156i
\(656\) 5.87998 10.1844i 0.229575 0.397635i
\(657\) −23.4756 + 13.5995i −0.915870 + 0.530565i
\(658\) 30.4987i 1.18896i
\(659\) 15.2330 26.3843i 0.593392 1.02779i −0.400379 0.916350i \(-0.631122\pi\)
0.993772 0.111436i \(-0.0355451\pi\)
\(660\) −3.44934 + 3.45439i −0.134266 + 0.134462i
\(661\) 30.2120 + 17.4429i 1.17511 + 0.678450i 0.954878 0.296998i \(-0.0959854\pi\)
0.220231 + 0.975448i \(0.429319\pi\)
\(662\) −26.8413 + 15.4969i −1.04322 + 0.602303i
\(663\) −4.77652 + 4.78351i −0.185505 + 0.185776i
\(664\) 8.01355i 0.310986i
\(665\) −13.8516 + 1.95886i −0.537143 + 0.0759614i
\(666\) −17.7707 30.6761i −0.688602 1.18867i
\(667\) 7.99828 4.61781i 0.309695 0.178802i
\(668\) 11.6737 + 20.2195i 0.451670 + 0.782315i
\(669\) −2.98362 + 11.1677i −0.115353 + 0.431767i
\(670\) −5.28574 9.15518i −0.204206 0.353695i
\(671\) 4.61874 + 2.66663i 0.178304 + 0.102944i
\(672\) −1.44266 5.36838i −0.0556519 0.207090i
\(673\) 19.8592i 0.765516i 0.923849 + 0.382758i \(0.125026\pi\)
−0.923849 + 0.382758i \(0.874974\pi\)
\(674\) −11.8763 6.85679i −0.457458 0.264114i
\(675\) 5.01614 1.35587i 0.193071 0.0521875i
\(676\) 11.1558 0.429069
\(677\) −31.0348 −1.19276 −0.596382 0.802701i \(-0.703395\pi\)
−0.596382 + 0.802701i \(0.703395\pi\)
\(678\) −19.8309 5.29814i −0.761603 0.203474i
\(679\) 26.5540 15.3310i 1.01905 0.588349i
\(680\) 1.43697 2.48891i 0.0551053 0.0954452i
\(681\) −29.4793 + 29.5224i −1.12965 + 1.13130i
\(682\) 8.74380 + 15.1447i 0.334817 + 0.579920i
\(683\) −0.186788 −0.00714726 −0.00357363 0.999994i \(-0.501138\pi\)
−0.00357363 + 0.999994i \(0.501138\pi\)
\(684\) 8.07473 + 10.2859i 0.308745 + 0.393289i
\(685\) −4.72492 −0.180530
\(686\) 5.93697 + 10.2831i 0.226675 + 0.392612i
\(687\) 26.5162 26.5550i 1.01165 1.01314i
\(688\) 2.63866 4.57030i 0.100598 0.174241i
\(689\) 4.61969 2.66718i 0.175996 0.101611i
\(690\) 6.25936 + 1.67228i 0.238290 + 0.0636628i
\(691\) 45.2803 1.72254 0.861272 0.508144i \(-0.169668\pi\)
0.861272 + 0.508144i \(0.169668\pi\)
\(692\) −9.59513 −0.364752
\(693\) 27.1365 0.0396917i 1.03083 0.00150776i
\(694\) 16.3458 + 9.43723i 0.620476 + 0.358232i
\(695\) 2.58344i 0.0979954i
\(696\) −1.10986 4.12995i −0.0420689 0.156545i
\(697\) −29.2694 16.8987i −1.10866 0.640085i
\(698\) 4.15647 + 7.19921i 0.157325 + 0.272494i
\(699\) −7.92763 + 29.6731i −0.299851 + 1.12234i
\(700\) 1.60470 + 2.77942i 0.0606520 + 0.105052i
\(701\) −14.6766 + 8.47353i −0.554327 + 0.320041i −0.750865 0.660455i \(-0.770363\pi\)
0.196539 + 0.980496i \(0.437030\pi\)
\(702\) −4.97872 + 5.00062i −0.187910 + 0.188736i
\(703\) −19.2550 + 47.7759i −0.726215 + 1.80190i
\(704\) 2.81844i 0.106224i
\(705\) −11.6301 + 11.6472i −0.438017 + 0.438658i
\(706\) −28.5728 + 16.4965i −1.07535 + 0.620854i
\(707\) 54.4769 + 31.4523i 2.04881 + 1.18288i
\(708\) 4.53605 4.54269i 0.170475 0.170725i
\(709\) 12.7967 22.1645i 0.480589 0.832405i −0.519163 0.854675i \(-0.673756\pi\)
0.999752 + 0.0222707i \(0.00708956\pi\)
\(710\) 1.65152i 0.0619806i
\(711\) −13.1120 22.6341i −0.491739 0.848847i
\(712\) −1.31900 + 2.28458i −0.0494317 + 0.0856183i
\(713\) 11.6046 20.0998i 0.434597 0.752744i
\(714\) −15.4284 + 4.14613i −0.577394 + 0.155165i
\(715\) 3.82749i 0.143140i
\(716\) 9.19621 15.9283i 0.343679 0.595269i
\(717\) 12.2691 + 12.2512i 0.458199 + 0.457530i
\(718\) 15.5156 + 8.95794i 0.579037 + 0.334307i
\(719\) 38.2562 22.0872i 1.42671 0.823714i 0.429854 0.902898i \(-0.358565\pi\)
0.996860 + 0.0791847i \(0.0252317\pi\)
\(720\) 1.49620 2.60027i 0.0557600 0.0969062i
\(721\) 4.53304i 0.168819i
\(722\) 4.56482 18.4435i 0.169885 0.686396i
\(723\) −8.84049 + 2.37573i −0.328781 + 0.0883544i
\(724\) 12.8805 7.43657i 0.478701 0.276378i
\(725\) 1.23451 + 2.13824i 0.0458487 + 0.0794122i
\(726\) 5.11446 + 1.36641i 0.189815 + 0.0507121i
\(727\) −5.60464 9.70752i −0.207865 0.360032i 0.743177 0.669095i \(-0.233318\pi\)
−0.951042 + 0.309063i \(0.899985\pi\)
\(728\) −3.77451 2.17921i −0.139893 0.0807671i
\(729\) 0.118476 + 26.9997i 0.00438799 + 0.999990i
\(730\) 9.04340i 0.334711i
\(731\) −13.1348 7.58337i −0.485807 0.280481i
\(732\) −3.16646 0.845968i −0.117036 0.0312679i
\(733\) −4.73362 −0.174840 −0.0874202 0.996172i \(-0.527862\pi\)
−0.0874202 + 0.996172i \(0.527862\pi\)
\(734\) 15.3242 0.565625
\(735\) 1.47543 5.52253i 0.0544220 0.203701i
\(736\) 3.23945 1.87030i 0.119408 0.0689400i
\(737\) 14.8975 25.8033i 0.548758 0.950477i
\(738\) −30.5791 17.5952i −1.12563 0.647690i
\(739\) 3.93967 + 6.82371i 0.144923 + 0.251014i 0.929344 0.369214i \(-0.120373\pi\)
−0.784421 + 0.620229i \(0.787040\pi\)
\(740\) 11.8172 0.434410
\(741\) 10.1784 + 1.23331i 0.373912 + 0.0453069i
\(742\) 12.6067 0.462805
\(743\) −6.72320 11.6449i −0.246650 0.427211i 0.715944 0.698158i \(-0.245997\pi\)
−0.962594 + 0.270947i \(0.912663\pi\)
\(744\) −7.60474 7.59363i −0.278803 0.278396i
\(745\) −5.91288 + 10.2414i −0.216631 + 0.375216i
\(746\) −7.11335 + 4.10690i −0.260438 + 0.150364i
\(747\) −24.0406 + 0.0351635i −0.879601 + 0.00128657i
\(748\) 8.10003 0.296166
\(749\) −0.426981 −0.0156015
\(750\) −0.447064 + 1.67336i −0.0163245 + 0.0611025i
\(751\) 28.4743 + 16.4397i 1.03904 + 0.599892i 0.919562 0.392944i \(-0.128543\pi\)
0.119481 + 0.992836i \(0.461877\pi\)
\(752\) 9.50293i 0.346536i
\(753\) −39.2207 + 10.5399i −1.42928 + 0.384095i
\(754\) −2.90377 1.67649i −0.105749 0.0610543i
\(755\) −2.73407 4.73555i −0.0995030 0.172344i
\(756\) −16.0988 + 4.35154i −0.585508 + 0.158264i
\(757\) 22.4848 + 38.9449i 0.817225 + 1.41548i 0.907719 + 0.419578i \(0.137822\pi\)
−0.0904939 + 0.995897i \(0.528845\pi\)
\(758\) 26.2093 15.1319i 0.951963 0.549616i
\(759\) 4.73903 + 17.6347i 0.172016 + 0.640099i
\(760\) −4.31596 + 0.610351i −0.156556 + 0.0221398i
\(761\) 9.71303i 0.352097i 0.984381 + 0.176049i \(0.0563316\pi\)
−0.984381 + 0.176049i \(0.943668\pi\)
\(762\) −1.69702 1.69454i −0.0614766 0.0613868i
\(763\) −31.2124 + 18.0205i −1.12996 + 0.652385i
\(764\) −1.63856 0.946026i −0.0592812 0.0342260i
\(765\) −7.47301 4.29998i −0.270187 0.155466i
\(766\) 10.9707 19.0019i 0.396388 0.686565i
\(767\) 5.03333i 0.181743i
\(768\) −0.449511 1.67270i −0.0162203 0.0603585i
\(769\) 13.8272 23.9494i 0.498621 0.863638i −0.501377 0.865229i \(-0.667173\pi\)
0.999999 + 0.00159104i \(0.000506444\pi\)
\(770\) −4.52275 + 7.83364i −0.162989 + 0.282305i
\(771\) −1.39050 5.17426i −0.0500775 0.186346i
\(772\) 20.2351i 0.728277i
\(773\) 0.918990 1.59174i 0.0330538 0.0572508i −0.849025 0.528352i \(-0.822810\pi\)
0.882079 + 0.471101i \(0.156143\pi\)
\(774\) −13.7225 7.89593i −0.493244 0.283813i
\(775\) 5.37344 + 3.10235i 0.193019 +