Properties

Label 570.2.s.b.521.2
Level $570$
Weight $2$
Character 570.521
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 521.2
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.b.221.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.67336 - 0.447064i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.22385 + 1.22564i) q^{6} +3.20940 q^{7} -1.00000 q^{8} +(2.60027 + 1.49620i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.67336 - 0.447064i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.22385 + 1.22564i) q^{6} +3.20940 q^{7} -1.00000 q^{8} +(2.60027 + 1.49620i) 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} +(-1.22564 - 1.22385i) 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} +(-5.37049 - 1.43481i) q^{21} +(2.44084 + 1.40922i) q^{22} +(3.23945 - 1.87030i) q^{23} +(1.67336 + 0.447064i) 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} +(1.26002 - 4.71626i) q^{33} +(2.48891 - 1.43697i) q^{34} +(2.77942 + 1.60470i) q^{35} +(-0.00438801 - 3.00000i) 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} +(-3.92782 + 3.93357i) 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} +(1.22385 - 1.22564i) q^{48} +3.30026 q^{49} +1.00000 q^{50} +(-3.52242 - 3.51727i) q^{51} +(1.17608 + 0.679010i) q^{52} +(1.96402 + 3.40178i) q^{53} +(-5.01614 + 1.35587i) q^{54} +(-1.40922 + 2.44084i) q^{55} -3.20940 q^{56} +(-7.49368 + 0.919133i) q^{57} +2.46903 q^{58} +(-1.85319 + 3.20982i) q^{59} +(-0.447064 + 1.67336i) q^{60} +(0.946137 + 1.63876i) q^{61} +(-5.37344 - 3.10235i) q^{62} +(8.34530 + 4.80190i) q^{63} +1.00000 q^{64} -1.35802 q^{65} +(-3.45439 - 3.44934i) 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} +(-2.60027 - 1.49620i) 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} +(0.607122 - 2.27245i) q^{78} +(7.55110 + 4.35963i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(4.52278 + 7.78103i) 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} +(3.00000 - 0.00438801i) q^{90} +(-3.77451 + 2.17921i) q^{91} +(-3.23945 - 1.87030i) q^{92} +(-2.77390 + 10.3827i) 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} +(-4.21694 + 7.32869i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −1.67336 0.447064i −0.966115 0.258113i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −1.22385 + 1.22564i −0.499634 + 0.500366i
\(7\) 3.20940 1.21304 0.606520 0.795068i \(-0.292565\pi\)
0.606520 + 0.795068i \(0.292565\pi\)
\(8\) −1.00000 −0.353553
\(9\) 2.60027 + 1.49620i 0.866756 + 0.498733i
\(10\) 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 −0.654146 0.756368i \(-0.726972\pi\)
0.327961 + 0.944691i \(0.393639\pi\)
\(14\) 1.60470 2.77942i 0.428874 0.742832i
\(15\) −1.22564 1.22385i −0.316459 0.315996i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.48891 + 1.43697i 0.603648 + 0.348516i 0.770475 0.637470i \(-0.220019\pi\)
−0.166827 + 0.985986i \(0.553352\pi\)
\(18\) 2.59588 1.50380i 0.611855 0.354449i
\(19\) 4.04290 1.62940i 0.927505 0.373810i
\(20\) 1.00000i 0.223607i
\(21\) −5.37049 1.43481i −1.17194 0.313101i
\(22\) 2.44084 + 1.40922i 0.520389 + 0.300447i
\(23\) 3.23945 1.87030i 0.675471 0.389984i −0.122675 0.992447i \(-0.539147\pi\)
0.798147 + 0.602463i \(0.205814\pi\)
\(24\) 1.67336 + 0.447064i 0.341573 + 0.0912566i
\(25\) 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 \(-0.0930415\pi\)
−0.728341 + 0.685215i \(0.759708\pi\)
\(30\) −1.67270 + 0.449511i −0.305393 + 0.0820691i
\(31\) 6.20471i 1.11440i −0.830379 0.557199i \(-0.811876\pi\)
0.830379 0.557199i \(-0.188124\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 1.26002 4.71626i 0.219342 0.820996i
\(34\) 2.48891 1.43697i 0.426844 0.246438i
\(35\) 2.77942 + 1.60470i 0.469808 + 0.271244i
\(36\) −0.00438801 3.00000i −0.000731334 0.499999i
\(37\) 11.8172i 1.94274i −0.237572 0.971370i \(-0.576351\pi\)
0.237572 0.971370i \(-0.423649\pi\)
\(38\) 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 −0.116301 + 0.993214i \(0.537104\pi\)
−0.801998 + 0.597326i \(0.796230\pi\)
\(42\) −3.92782 + 3.93357i −0.606076 + 0.606963i
\(43\) 2.63866 4.57030i 0.402393 0.696964i −0.591622 0.806216i \(-0.701512\pi\)
0.994014 + 0.109251i \(0.0348453\pi\)
\(44\) 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 \(-0.422923\pi\)
0.960652 + 0.277754i \(0.0895899\pi\)
\(48\) 1.22385 1.22564i 0.176647 0.176906i
\(49\) 3.30026 0.471466
\(50\) 1.00000 0.141421
\(51\) −3.52242 3.51727i −0.493237 0.492516i
\(52\) 1.17608 + 0.679010i 0.163093 + 0.0941617i
\(53\) 1.96402 + 3.40178i 0.269779 + 0.467271i 0.968805 0.247826i \(-0.0797160\pi\)
−0.699026 + 0.715097i \(0.746383\pi\)
\(54\) −5.01614 + 1.35587i −0.682610 + 0.184511i
\(55\) −1.40922 + 2.44084i −0.190019 + 0.329123i
\(56\) −3.20940 −0.428874
\(57\) −7.49368 + 0.919133i −0.992562 + 0.121742i
\(58\) 2.46903 0.324199
\(59\) −1.85319 + 3.20982i −0.241265 + 0.417883i −0.961075 0.276288i \(-0.910896\pi\)
0.719810 + 0.694171i \(0.244229\pi\)
\(60\) −0.447064 + 1.67336i −0.0577157 + 0.216030i
\(61\) 0.946137 + 1.63876i 0.121140 + 0.209821i 0.920218 0.391407i \(-0.128012\pi\)
−0.799077 + 0.601228i \(0.794678\pi\)
\(62\) −5.37344 3.10235i −0.682427 0.393999i
\(63\) 8.34530 + 4.80190i 1.05141 + 0.604983i
\(64\) 1.00000 0.125000
\(65\) −1.35802 −0.168442
\(66\) −3.45439 3.44934i −0.425206 0.424585i
\(67\) −9.15518 + 5.28574i −1.11848 + 0.645756i −0.941013 0.338370i \(-0.890125\pi\)
−0.177470 + 0.984126i \(0.556791\pi\)
\(68\) 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 \(-0.864578\pi\)
0.812857 + 0.582464i \(0.197911\pi\)
\(72\) −2.60027 1.49620i −0.306444 0.176329i
\(73\) −4.52170 + 7.83182i −0.529225 + 0.916645i 0.470194 + 0.882563i \(0.344184\pi\)
−0.999419 + 0.0340817i \(0.989149\pi\)
\(74\) −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
\(78\) 0.607122 2.27245i 0.0687430 0.257305i
\(79\) 7.55110 + 4.35963i 0.849565 + 0.490497i 0.860504 0.509443i \(-0.170149\pi\)
−0.0109389 + 0.999940i \(0.503482\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 4.52278 + 7.78103i 0.502531 + 0.864559i
\(82\) 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 \(-0.122016\pi\)
−0.787612 + 0.616171i \(0.788683\pi\)
\(90\) 3.00000 0.00438801i 0.316227 0.000462536i
\(91\) −3.77451 + 2.17921i −0.395676 + 0.228444i
\(92\) −3.23945 1.87030i −0.337736 0.194992i
\(93\) −2.77390 + 10.3827i −0.287640 + 1.07664i
\(94\) 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 0.857291 0.514831i \(-0.172145\pi\)
−0.0172113 + 0.999852i \(0.505479\pi\)
\(98\) 1.65013 2.85811i 0.166688 0.288713i
\(99\) −4.21694 + 7.32869i −0.423819 + 0.736562i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −16.9742 + 9.80004i −1.68899 + 0.975140i −0.733701 + 0.679472i \(0.762209\pi\)
−0.955291 + 0.295667i \(0.904458\pi\)
\(102\) −4.80725 + 1.29187i −0.475989 + 0.127914i
\(103\) 1.41243i 0.139171i −0.997576 0.0695853i \(-0.977832\pi\)
0.997576 0.0695853i \(-0.0221676\pi\)
\(104\) 1.17608 0.679010i 0.115324 0.0665824i
\(105\) −3.93357 3.92782i −0.383877 0.383316i
\(106\) 3.92804 0.381525
\(107\) 0.133041 0.0128615 0.00643076 0.999979i \(-0.497953\pi\)
0.00643076 + 0.999979i \(0.497953\pi\)
\(108\) −1.33385 + 5.02204i −0.128350 + 0.483246i
\(109\) −9.72530 5.61490i −0.931514 0.537810i −0.0442242 0.999022i \(-0.514082\pi\)
−0.887290 + 0.461211i \(0.847415\pi\)
\(110\) 1.40922 + 2.44084i 0.134364 + 0.232725i
\(111\) −5.28306 + 19.7745i −0.501446 + 1.87691i
\(112\) −1.60470 + 2.77942i −0.151630 + 0.262631i
\(113\) 11.8510 1.11485 0.557423 0.830229i \(-0.311790\pi\)
0.557423 + 0.830229i \(0.311790\pi\)
\(114\) −2.95085 + 6.94928i −0.276372 + 0.650860i
\(115\) 3.74059 0.348812
\(116\) 1.23451 2.13824i 0.114622 0.198531i
\(117\) −4.07405 + 0.00595899i −0.376646 + 0.000550909i
\(118\) 1.85319 + 3.20982i 0.170600 + 0.295488i
\(119\) 7.98790 + 4.61182i 0.732249 + 0.422764i
\(120\) 1.22564 + 1.22385i 0.111885 + 0.111722i
\(121\) 3.05640 0.277855
\(122\) 1.89227 0.171319
\(123\) 14.3924 14.4135i 1.29772 1.29962i
\(124\) −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 −0.552257 0.833674i \(-0.686233\pi\)
0.445854 + 0.895106i \(0.352900\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −6.45865 + 6.46811i −0.568653 + 0.569485i
\(130\) −0.679010 + 1.17608i −0.0595531 + 0.103149i
\(131\) −16.9209 9.76931i −1.47839 0.853549i −0.478689 0.877985i \(-0.658888\pi\)
−0.999701 + 0.0244360i \(0.992221\pi\)
\(132\) −4.71441 + 1.26692i −0.410337 + 0.110271i
\(133\) 12.9753 5.22939i 1.12510 0.453446i
\(134\) 10.5715i 0.913238i
\(135\) −1.35587 5.01614i −0.116695 0.431720i
\(136\) −2.48891 1.43697i −0.213422 0.123219i
\(137\) −4.09190 + 2.36246i −0.349595 + 0.201839i −0.664507 0.747282i \(-0.731358\pi\)
0.314912 + 0.949121i \(0.398025\pi\)
\(138\) −1.67228 + 6.25936i −0.142354 + 0.532832i
\(139\) 1.29172 + 2.23732i 0.109562 + 0.189767i 0.915593 0.402106i \(-0.131722\pi\)
−0.806031 + 0.591874i \(0.798388\pi\)
\(140\) 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
\(147\) −5.52253 1.47543i −0.455490 0.121691i
\(148\) −10.2340 + 5.90861i −0.841231 + 0.485685i
\(149\) −10.2414 5.91288i −0.839009 0.484402i 0.0179181 0.999839i \(-0.494296\pi\)
−0.856927 + 0.515437i \(0.827630\pi\)
\(150\) −1.67336 0.447064i −0.136629 0.0365026i
\(151\) 5.46814i 0.444991i −0.974934 0.222495i \(-0.928580\pi\)
0.974934 0.222495i \(-0.0714202\pi\)
\(152\) −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
\(156\) −1.66444 1.66201i −0.133262 0.133067i
\(157\) 8.57463 14.8517i 0.684330 1.18529i −0.289317 0.957233i \(-0.593428\pi\)
0.973647 0.228061i \(-0.0732384\pi\)
\(158\) 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
\(162\) 8.99996 0.0263280i 0.707104 0.00206852i
\(163\) 3.07053 0.240502 0.120251 0.992744i \(-0.461630\pi\)
0.120251 + 0.992744i \(0.461630\pi\)
\(164\) 11.7600 0.918299
\(165\) 3.44934 3.45439i 0.268531 0.268924i
\(166\) −6.93994 4.00678i −0.538644 0.310986i
\(167\) −11.6737 20.2195i −0.903339 1.56463i −0.823131 0.567851i \(-0.807775\pi\)
−0.0802078 0.996778i \(-0.525558\pi\)
\(168\) 5.37049 + 1.43481i 0.414342 + 0.110698i
\(169\) −5.57789 + 9.66119i −0.429069 + 0.743169i
\(170\) 2.87394 0.220421
\(171\) 12.9505 + 1.81211i 0.990352 + 0.138576i
\(172\) −5.27733 −0.402393
\(173\) −4.79757 + 8.30963i −0.364752 + 0.631769i −0.988736 0.149668i \(-0.952180\pi\)
0.623984 + 0.781437i \(0.285513\pi\)
\(174\) −4.13157 1.10381i −0.313214 0.0836799i
\(175\) 1.60470 + 2.77942i 0.121304 + 0.210105i
\(176\) −2.44084 1.40922i −0.183985 0.106224i
\(177\) 4.53605 4.54269i 0.340950 0.341449i
\(178\) 2.63801 0.197727
\(179\) 18.3924 1.37471 0.687357 0.726320i \(-0.258771\pi\)
0.687357 + 0.726320i \(0.258771\pi\)
\(180\) 1.49620 2.60027i 0.111520 0.193812i
\(181\) −12.8805 + 7.43657i −0.957402 + 0.552756i −0.895372 0.445318i \(-0.853091\pi\)
−0.0620293 + 0.998074i \(0.519757\pi\)
\(182\) 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
\(186\) 7.60474 + 7.59363i 0.557607 + 0.556792i
\(187\) −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 \(0.978194\pi\)
\(192\) −1.67336 0.447064i −0.120764 0.0322641i
\(193\) −17.5241 10.1175i −1.26141 0.728277i −0.288065 0.957611i \(-0.593012\pi\)
−0.973348 + 0.229334i \(0.926345\pi\)
\(194\) 8.27383 4.77690i 0.594026 0.342961i
\(195\) 2.27245 + 0.607122i 0.162734 + 0.0434769i
\(196\) −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 0.846344 0.532636i \(-0.178799\pi\)
−0.884449 + 0.466638i \(0.845465\pi\)
\(200\) −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
\(204\) −1.28484 + 4.80914i −0.0899565 + 0.336707i
\(205\) −10.1844 + 5.87998i −0.711311 + 0.410676i
\(206\) −1.22320 0.706213i −0.0852242 0.0492042i
\(207\) 11.2218 0.0164137i 0.779966 0.00114083i
\(208\) 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 0.999640 0.0268399i \(-0.00854442\pi\)
0.476576 + 0.879133i \(0.341878\pi\)
\(212\) 1.96402 3.40178i 0.134890 0.233636i
\(213\) 2.02121 2.02417i 0.138491 0.138694i
\(214\) 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
\(219\) 11.0678 11.0840i 0.747890 0.748985i
\(220\) 2.81844 0.190019
\(221\) −3.90287 −0.262535
\(222\) 14.4837 + 14.4625i 0.972080 + 0.970659i
\(223\) 5.77968 + 3.33690i 0.387036 + 0.223455i 0.680875 0.732400i \(-0.261600\pi\)
−0.293839 + 0.955855i \(0.594933\pi\)
\(224\) 1.60470 + 2.77942i 0.107219 + 0.185708i
\(225\) 0.00438801 + 3.00000i 0.000292534 + 0.200000i
\(226\) 5.92548 10.2632i 0.394157 0.682701i
\(227\) −24.0873 −1.59873 −0.799367 0.600843i \(-0.794832\pi\)
−0.799367 + 0.600843i \(0.794832\pi\)
\(228\) 4.54283 + 6.03015i 0.300856 + 0.399356i
\(229\) −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
\(231\) 4.04392 15.1364i 0.266070 0.995901i
\(232\) −1.23451 2.13824i −0.0810498 0.140382i
\(233\) −15.3569 8.86633i −1.00607 0.580852i −0.0960285 0.995379i \(-0.530614\pi\)
−0.910037 + 0.414526i \(0.863947\pi\)
\(234\) −2.03187 + 3.53121i −0.132827 + 0.230843i
\(235\) 9.50293 0.619903
\(236\) 3.70638 0.241265
\(237\) −10.6867 10.6711i −0.694174 0.693160i
\(238\) 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 −0.345285 0.938498i \(-0.612218\pi\)
0.640120 + 0.768275i \(0.278884\pi\)
\(242\) 1.52820 2.64692i 0.0982365 0.170151i
\(243\) −4.08962 15.0424i −0.262349 0.964973i
\(244\) 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
\(249\) −3.58257 + 13.4096i −0.227036 + 0.849796i
\(250\) 0.866025 + 0.500000i 0.0547723 + 0.0316228i
\(251\) −20.3061 + 11.7237i −1.28171 + 0.739996i −0.977161 0.212501i \(-0.931839\pi\)
−0.304549 + 0.952497i \(0.598506\pi\)
\(252\) −0.0140829 9.62820i −0.000887138 0.606519i
\(253\) 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 \(-0.135909\pi\)
−0.813746 + 0.581221i \(0.802575\pi\)
\(258\) 2.37222 + 8.82741i 0.147688 + 0.549571i
\(259\) 37.9262i 2.35662i
\(260\) 0.679010 + 1.17608i 0.0421104 + 0.0729373i
\(261\) 0.0108341 + 7.40707i 0.000670614 + 0.458486i
\(262\) −16.9209 + 9.76931i −1.04538 + 0.603550i
\(263\) −6.03680 3.48535i −0.372245 0.214916i 0.302194 0.953247i \(-0.402281\pi\)
−0.674439 + 0.738331i \(0.735614\pi\)
\(264\) −1.26002 + 4.71626i −0.0775490 + 0.290266i
\(265\) 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 \(-0.734722\pi\)
0.977231 + 0.212177i \(0.0680554\pi\)
\(270\) −5.02204 1.33385i −0.305631 0.0811754i
\(271\) −8.30819 + 14.3902i −0.504687 + 0.874143i 0.495298 + 0.868723i \(0.335059\pi\)
−0.999985 + 0.00542045i \(0.998275\pi\)
\(272\) −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
\(276\) 4.58462 + 4.57792i 0.275962 + 0.275558i
\(277\) 28.0673 1.68640 0.843199 0.537601i \(-0.180669\pi\)
0.843199 + 0.537601i \(0.180669\pi\)
\(278\) 2.58344 0.154944
\(279\) 9.28347 16.1339i 0.555787 0.965911i
\(280\) −2.77942 1.60470i −0.166102 0.0958992i
\(281\) 2.46716 + 4.27325i 0.147179 + 0.254921i 0.930184 0.367094i \(-0.119647\pi\)
−0.783005 + 0.622015i \(0.786314\pi\)
\(282\) −4.24842 + 15.9018i −0.252990 + 0.946940i
\(283\) −4.00792 + 6.94192i −0.238246 + 0.412654i −0.960211 0.279275i \(-0.909906\pi\)
0.721965 + 0.691929i \(0.243239\pi\)
\(284\) 1.65152 0.0979999
\(285\) −6.94928 2.95085i −0.411640 0.174793i
\(286\) −3.82749 −0.226324
\(287\) −18.8712 + 32.6859i −1.11393 + 1.92939i
\(288\) 0.00438801 + 3.00000i 0.000258566 + 0.176777i
\(289\) −4.37023 7.56947i −0.257073 0.445263i
\(290\) 2.13824 + 1.23451i 0.125562 + 0.0724931i
\(291\) −11.7095 11.6924i −0.686424 0.685421i
\(292\) 9.04340 0.529225
\(293\) −18.1274 −1.05902 −0.529508 0.848305i \(-0.677624\pi\)
−0.529508 + 0.848305i \(0.677624\pi\)
\(294\) −4.03902 + 4.04493i −0.235561 + 0.235905i
\(295\) −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
\(300\) −1.22385 + 1.22564i −0.0706589 + 0.0707624i
\(301\) 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
\(306\) 8.62181 0.0126109i 0.492876 0.000720915i
\(307\) −18.4910 10.6758i −1.05534 0.609300i −0.131200 0.991356i \(-0.541883\pi\)
−0.924139 + 0.382056i \(0.875216\pi\)
\(308\) 7.83364 4.52275i 0.446363 0.257708i
\(309\) −0.631445 + 2.36350i −0.0359217 + 0.134455i
\(310\) −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 0.886687 0.462370i \(-0.153001\pi\)
−0.843768 + 0.536708i \(0.819668\pi\)
\(314\) −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 \(-0.133591\pi\)
−0.809492 + 0.587131i \(0.800257\pi\)
\(318\) −6.57303 1.75609i −0.368597 0.0984764i
\(319\) −6.02650 + 3.47940i −0.337419 + 0.194809i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) −0.222625 0.0594777i −0.0124257 0.00331972i
\(322\) 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
\(327\) 13.7637 + 13.7436i 0.761134 + 0.760022i
\(328\) 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 \(0.324479\pi\)
−0.523892 + 0.851784i \(0.675521\pi\)
\(332\) −6.93994 + 4.00678i −0.380879 + 0.219900i
\(333\) 17.6809 30.7279i 0.968908 1.68388i
\(334\) −23.3474 −1.27751
\(335\) −10.5715 −0.577582
\(336\) 3.92782 3.93357i 0.214280 0.214594i
\(337\) 11.8763 + 6.85679i 0.646944 + 0.373513i 0.787284 0.616590i \(-0.211486\pi\)
−0.140340 + 0.990103i \(0.544820\pi\)
\(338\) 5.57789 + 9.66119i 0.303397 + 0.525500i
\(339\) −19.8309 5.29814i −1.07707 0.287756i
\(340\) 1.43697 2.48891i 0.0779307 0.134980i
\(341\) 17.4876 0.947006
\(342\) 8.04460 10.3094i 0.435002 0.557470i
\(343\) −11.8739 −0.641133
\(344\) −2.63866 + 4.57030i −0.142267 + 0.246414i
\(345\) −6.25936 1.67228i −0.336992 0.0900327i
\(346\) 4.79757 + 8.30963i 0.257919 + 0.446728i
\(347\) 16.3458 + 9.43723i 0.877486 + 0.506617i 0.869829 0.493354i \(-0.164229\pi\)
0.00765736 + 0.999971i \(0.497563\pi\)
\(348\) −3.02172 + 3.02614i −0.161981 + 0.162218i
\(349\) −8.31293 −0.444981 −0.222491 0.974935i \(-0.571419\pi\)
−0.222491 + 0.974935i \(0.571419\pi\)
\(350\) 3.20940 0.171550
\(351\) 6.82002 + 1.81139i 0.364026 + 0.0966849i
\(352\) −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
\(357\) −11.3049 11.2883i −0.598316 0.597442i
\(358\) 9.19621 15.9283i 0.486035 0.841837i
\(359\) 15.5156 + 8.95794i 0.818882 + 0.472782i 0.850031 0.526733i \(-0.176583\pi\)
−0.0311486 + 0.999515i \(0.509917\pi\)
\(360\) −1.50380 2.59588i −0.0792571 0.136815i
\(361\) 13.6901 13.1750i 0.720533 0.693421i
\(362\) 14.8731i 0.781715i
\(363\) −5.11446 1.36641i −0.268440 0.0717178i
\(364\) 3.77451 + 2.17921i 0.197838 + 0.114222i
\(365\) −7.83182 + 4.52170i −0.409936 + 0.236677i
\(366\) −3.16646 0.845968i −0.165513 0.0442195i
\(367\) −7.66209 13.2711i −0.399958 0.692747i 0.593763 0.804640i \(-0.297642\pi\)
−0.993720 + 0.111893i \(0.964308\pi\)
\(368\) 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 \(0.0682084\pi\)
−0.977129 + 0.212647i \(0.931792\pi\)
\(374\) 4.05001 + 7.01483i 0.209421 + 0.362728i
\(375\) 0.447064 1.67336i 0.0230863 0.0864119i
\(376\) −8.22978 + 4.75146i −0.424418 + 0.245038i
\(377\) −2.90377 1.67649i −0.149552 0.0863438i
\(378\) −16.0988 + 4.35154i −0.828033 + 0.223819i
\(379\) 30.2639i 1.55455i −0.629161 0.777275i \(-0.716601\pi\)
0.629161 0.777275i \(-0.283399\pi\)
\(380\) −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 0.436868 + 0.899526i \(0.356088\pi\)
−0.997446 + 0.0714239i \(0.977246\pi\)
\(384\) −1.22385 + 1.22564i −0.0624543 + 0.0625457i
\(385\) −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 \(-0.460781\pi\)
0.920910 + 0.389776i \(0.127447\pi\)
\(390\) 1.66201 1.66444i 0.0841592 0.0842823i
\(391\) 10.7502 0.543663
\(392\) −3.30026 −0.166688
\(393\) 23.9473 + 23.9123i 1.20798 + 1.20622i
\(394\) 7.26726 + 4.19576i 0.366119 + 0.211379i
\(395\) 4.35963 + 7.55110i 0.219357 + 0.379937i
\(396\) 8.45531 0.0123673i 0.424895 0.000621481i
\(397\) −15.7374 + 27.2581i −0.789840 + 1.36804i 0.136225 + 0.990678i \(0.456503\pi\)
−0.926065 + 0.377364i \(0.876830\pi\)
\(398\) −1.07505 −0.0538873
\(399\) −24.0502 + 2.94987i −1.20402 + 0.147678i
\(400\) −1.00000 −0.0500000
\(401\) 14.4572 25.0407i 0.721960 1.25047i −0.238253 0.971203i \(-0.576575\pi\)
0.960213 0.279268i \(-0.0900918\pi\)
\(402\) 4.72613 17.6899i 0.235718 0.882292i
\(403\) 4.21306 + 7.29723i 0.209867 + 0.363501i
\(404\) 16.9742 + 9.80004i 0.844496 + 0.487570i
\(405\) 0.0263280 + 8.99996i 0.00130825 + 0.447212i
\(406\) 7.92410 0.393266
\(407\) 33.3061 1.65092
\(408\) 3.52242 + 3.51727i 0.174386 + 0.174131i
\(409\) 28.2766 16.3255i 1.39819 0.807244i 0.403985 0.914766i \(-0.367625\pi\)
0.994203 + 0.107522i \(0.0342916\pi\)
\(410\) 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
\(414\) 5.59667 9.72654i 0.275061 0.478033i
\(415\) 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 \(0.946148\pi\)
\(420\) −1.43481 + 5.37049i −0.0700115 + 0.262053i
\(421\) −16.3349 9.43094i −0.796113 0.459636i 0.0459975 0.998942i \(-0.485353\pi\)
−0.842110 + 0.539306i \(0.818687\pi\)
\(422\) 21.4433 12.3803i 1.04384 0.602662i
\(423\) 28.5088 0.0416989i 1.38614 0.00202747i
\(424\) −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 \(-0.251270\pi\)
−0.966951 + 0.254963i \(0.917937\pi\)
\(432\) 5.01614 1.35587i 0.241339 0.0652344i
\(433\) −16.5710 + 9.56729i −0.796353 + 0.459774i −0.842194 0.539174i \(-0.818736\pi\)
0.0458415 + 0.998949i \(0.485403\pi\)
\(434\) −17.2455 9.95670i −0.827811 0.477937i
\(435\) 1.10381 4.13157i 0.0529238 0.198094i
\(436\) 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 0.843414 0.537264i \(-0.180542\pi\)
−0.0435774 + 0.999050i \(0.513876\pi\)
\(440\) 1.40922 2.44084i 0.0671819 0.116362i
\(441\) 8.58157 + 4.93785i 0.408646 + 0.235136i
\(442\) −1.95143 + 3.37998i −0.0928202 + 0.160769i
\(443\) −16.8746 + 9.74255i −0.801736 + 0.462882i −0.844078 0.536221i \(-0.819851\pi\)
0.0423420 + 0.999103i \(0.486518\pi\)
\(444\) 19.7667 5.31197i 0.938087 0.252095i
\(445\) 2.63801i 0.125053i
\(446\) 5.77968 3.33690i 0.273676 0.158007i
\(447\) 14.4941 + 14.4729i 0.685549 + 0.684547i
\(448\) 3.20940 0.151630
\(449\) −10.3060 −0.486372 −0.243186 0.969980i \(-0.578193\pi\)
−0.243186 + 0.969980i \(0.578193\pi\)
\(450\) 2.60027 + 1.49620i 0.122578 + 0.0705315i
\(451\) −28.7042 16.5724i −1.35163 0.780362i
\(452\) −5.92548 10.2632i −0.278711 0.482742i
\(453\) −2.44461 + 9.15017i −0.114858 + 0.429912i
\(454\) −12.0437 + 20.8603i −0.565238 + 0.979020i
\(455\) −4.35843 −0.204326
\(456\) 7.49368 0.919133i 0.350924 0.0430424i
\(457\) −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
\(459\) −3.89670 14.4161i −0.181882 0.672885i
\(460\) −1.87030 3.23945i −0.0872030 0.151040i
\(461\) 28.6530 + 16.5428i 1.33450 + 0.770477i 0.985986 0.166825i \(-0.0533516\pi\)
0.348518 + 0.937302i \(0.386685\pi\)
\(462\) −11.0865 11.0703i −0.515792 0.515038i
\(463\) −5.36206 −0.249196 −0.124598 0.992207i \(-0.539764\pi\)
−0.124598 + 0.992207i \(0.539764\pi\)
\(464\) −2.46903 −0.114622
\(465\) −7.59363 + 7.60474i −0.352146 + 0.352661i
\(466\) −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
\(471\) −20.9881 + 21.0188i −0.967080 + 0.968496i
\(472\) 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
\(477\) 0.0172363 + 11.7841i 0.000789195 + 0.539558i
\(478\) −8.66926 5.00520i −0.396523 0.228932i
\(479\) 6.39802 3.69390i 0.292333 0.168779i −0.346660 0.937991i \(-0.612684\pi\)
0.638994 + 0.769212i \(0.279351\pi\)
\(480\) 0.447064 1.67336i 0.0204056 0.0763781i
\(481\) 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 \(0.0190520\pi\)
−0.998209 + 0.0598180i \(0.980948\pi\)
\(488\) −0.946137 1.63876i −0.0428296 0.0741831i
\(489\) −5.13809 1.37272i −0.232353 0.0620766i
\(490\) 2.85811 1.65013i 0.129116 0.0745453i
\(491\) −14.1387 8.16297i −0.638070 0.368390i 0.145801 0.989314i \(-0.453424\pi\)
−0.783871 + 0.620924i \(0.786757\pi\)
\(492\) −19.6787 5.25746i −0.887182 0.237024i
\(493\) 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
\(498\) 9.82173 + 9.80738i 0.440122 + 0.439479i
\(499\) −6.98906 + 12.1054i −0.312873 + 0.541912i −0.978983 0.203941i \(-0.934625\pi\)
0.666110 + 0.745854i \(0.267958\pi\)
\(500\) 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 \(-0.802606\pi\)
0.0963836 + 0.995344i \(0.469272\pi\)
\(504\) −8.34530 4.80190i −0.371729 0.213894i
\(505\) −19.6001 −0.872192
\(506\) 10.5426 0.468677
\(507\) 13.6530 13.6730i 0.606351 0.607238i
\(508\) 1.19910 + 0.692300i 0.0532014 + 0.0307158i
\(509\) 7.26580 + 12.5847i 0.322051 + 0.557808i 0.980911 0.194457i \(-0.0622945\pi\)
−0.658860 + 0.752265i \(0.728961\pi\)
\(510\) −4.80914 1.28484i −0.212952 0.0568935i
\(511\) −14.5120 + 25.1355i −0.641971 + 1.11193i
\(512\) −1.00000 −0.0441942
\(513\) −20.8608 8.82203i −0.921025 0.389502i
\(514\) 3.09335 0.136442
\(515\) 0.706213 1.22320i 0.0311195 0.0539005i
\(516\) 8.83087 + 2.35930i 0.388758 + 0.103863i
\(517\) 13.3917 + 23.1951i 0.588967 + 1.02012i
\(518\) −32.8451 18.9631i −1.44313 0.833191i
\(519\) 11.7430 11.7602i 0.515460 0.516215i
\(520\) 1.35802 0.0595531
\(521\) −36.4420 −1.59655 −0.798276 0.602291i \(-0.794255\pi\)
−0.798276 + 0.602291i \(0.794255\pi\)
\(522\) 6.42013 + 3.69415i 0.281001 + 0.161689i
\(523\) −17.8504 + 10.3060i −0.780545 + 0.450648i −0.836624 0.547778i \(-0.815474\pi\)
0.0560782 + 0.998426i \(0.482140\pi\)
\(524\) 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
\(528\) 3.45439 + 3.44934i 0.150333 + 0.150113i
\(529\) −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
\(534\) −4.41433 1.17936i −0.191027 0.0510358i
\(535\) 0.115217 + 0.0665203i 0.00498125 + 0.00287592i
\(536\) 9.15518 5.28574i 0.395443 0.228309i
\(537\) −30.7771 8.22259i −1.32813 0.354831i
\(538\) −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 −0.827524 0.561431i \(-0.810251\pi\)
−0.0724514 0.997372i \(-0.523082\pi\)
\(542\) 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
\(546\) 1.94850 7.29322i 0.0833880 0.312121i
\(547\) −0.131381 + 0.0758528i −0.00561744 + 0.00324323i −0.502806 0.864399i \(-0.667699\pi\)
0.497189 + 0.867642i \(0.334366\pi\)
\(548\) 4.09190 + 2.36246i 0.174797 + 0.100919i
\(549\) 0.00830331 + 5.67682i 0.000354377 + 0.242281i
\(550\) 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
\(555\) −14.4625 + 14.4837i −0.613899 + 0.614797i
\(556\) 1.29172 2.23732i 0.0547811 0.0948837i
\(557\) 8.93906 5.16097i 0.378760 0.218677i −0.298518 0.954404i \(-0.596492\pi\)
0.677279 + 0.735727i \(0.263159\pi\)
\(558\) −9.33063 16.1067i −0.394997 0.681850i
\(559\) 7.16671i 0.303120i
\(560\) −2.77942 + 1.60470i −0.117452 + 0.0678110i
\(561\) 9.91321 9.92772i 0.418536 0.419149i
\(562\) 4.93433 0.208142
\(563\) −42.9116 −1.80851 −0.904255 0.426994i \(-0.859573\pi\)
−0.904255 + 0.426994i \(0.859573\pi\)
\(564\) 11.6472 + 11.6301i 0.490434 + 0.489718i
\(565\) 10.2632 + 5.92548i 0.431778 + 0.249287i
\(566\) 4.00792 + 6.94192i 0.168465 + 0.291790i
\(567\) 14.5154 + 24.9725i 0.609591 + 1.04874i
\(568\) 0.825761 1.43026i 0.0346482 0.0600124i
\(569\) 14.9370 0.626192 0.313096 0.949722i \(-0.398634\pi\)
0.313096 + 0.949722i \(0.398634\pi\)
\(570\) −6.03015 + 4.54283i −0.252575 + 0.190278i
\(571\) −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
\(573\) 0.845868 3.16608i 0.0353366 0.132265i
\(574\) 18.8712 + 32.6859i 0.787670 + 1.36428i
\(575\) 3.23945 + 1.87030i 0.135094 + 0.0779967i
\(576\) 2.60027 + 1.49620i 0.108344 + 0.0623416i
\(577\) 11.1217 0.463001 0.231500 0.972835i \(-0.425637\pi\)
0.231500 + 0.972835i \(0.425637\pi\)
\(578\) −8.74047 −0.363555
\(579\) 24.8009 + 24.7647i 1.03069 + 1.02919i
\(580\) 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
\(585\) −3.53121 2.03187i −0.145998 0.0840073i
\(586\) −9.06372 + 15.6988i −0.374419 + 0.648513i
\(587\) 2.96690 + 1.71294i 0.122457 + 0.0707005i 0.559977 0.828508i \(-0.310810\pi\)
−0.437520 + 0.899209i \(0.644143\pi\)
\(588\) 1.48350 + 5.52036i 0.0611787 + 0.227656i
\(589\) −10.1099 25.0850i −0.416573 1.03361i
\(590\) 3.70638i 0.152589i
\(591\) 3.75154 14.0420i 0.154318 0.577612i
\(592\) 10.2340 + 5.90861i 0.420616 + 0.242842i
\(593\) −37.6958 + 21.7637i −1.54798 + 0.893727i −0.549685 + 0.835372i \(0.685252\pi\)
−0.998296 + 0.0583555i \(0.981414\pi\)
\(594\) −3.82144 14.1377i −0.156796 0.580076i
\(595\) 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 \(-0.0562901\pi\)
−0.644554 + 0.764559i \(0.722957\pi\)
\(600\) 0.449511 + 1.67270i 0.0183512 + 0.0682879i
\(601\) 33.9509i 1.38489i 0.721472 + 0.692444i \(0.243466\pi\)
−0.721472 + 0.692444i \(0.756534\pi\)
\(602\) −8.46854 14.6679i −0.345152 0.597820i
\(603\) −31.7144 + 0.0463877i −1.29151 + 0.00188906i
\(604\) −4.73555 + 2.73407i −0.192687 + 0.111248i
\(605\) 2.64692 + 1.52820i 0.107613 + 0.0621302i
\(606\) 8.76249 32.7980i 0.355952 1.33233i
\(607\) 25.0735i 1.01770i −0.860854 0.508852i \(-0.830070\pi\)
0.860854 0.508852i \(-0.169930\pi\)
\(608\) 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
\(612\) 4.29998 7.47301i 0.173817 0.302079i
\(613\) −7.45511 + 12.9126i −0.301109 + 0.521536i −0.976387 0.216027i \(-0.930690\pi\)
0.675278 + 0.737563i \(0.264024\pi\)
\(614\) −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 \(-0.706299\pi\)
0.388581 + 0.921415i \(0.372965\pi\)
\(618\) 1.73113 + 1.72860i 0.0696361 + 0.0695343i
\(619\) 30.6509 1.23196 0.615982 0.787760i \(-0.288759\pi\)
0.615982 + 0.787760i \(0.288759\pi\)
\(620\) −6.20471 −0.249187
\(621\) −18.7854 4.98938i −0.753832 0.200217i
\(622\) −9.65163 5.57237i −0.386995 0.223432i
\(623\) 4.23321 + 7.33214i 0.169600 + 0.293756i
\(624\) −0.607122 + 2.27245i −0.0243043 + 0.0909710i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 1.51863 0.0606965
\(627\) −2.59052 21.1205i −0.103455 0.843470i
\(628\) −17.1493 −0.684330
\(629\) 16.9810 29.4120i 0.677077 1.17273i
\(630\) 9.62820 0.0140829i 0.383597 0.000561075i
\(631\) −4.52634 7.83986i −0.180191 0.312100i 0.761755 0.647866i \(-0.224338\pi\)
−0.941945 + 0.335766i \(0.891005\pi\)
\(632\) −7.55110 4.35963i −0.300367 0.173417i
\(633\) −30.3475 30.3032i −1.20621 1.20444i
\(634\) 3.69354 0.146689
\(635\) −1.38460 −0.0549462
\(636\) −4.80733 + 4.81437i −0.190623 + 0.190902i
\(637\) −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 \(-0.740299\pi\)
0.973364 + 0.229266i \(0.0736325\pi\)
\(642\) −0.162822 + 0.163060i −0.00642606 + 0.00643546i
\(643\) −13.5090 + 23.3983i −0.532743 + 0.922739i 0.466526 + 0.884508i \(0.345506\pi\)
−0.999269 + 0.0382309i \(0.987828\pi\)
\(644\) −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 \(0.931718\pi\)
\(648\) −4.52278 7.78103i −0.177672 0.305668i
\(649\) −9.04668 5.22310i −0.355113 0.205025i
\(650\) −1.17608 + 0.679010i −0.0461296 + 0.0266329i
\(651\) −8.90257 + 33.3223i −0.348919 + 1.30600i
\(652\) −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 −0.993772 0.111436i \(-0.964455\pi\)
0.400379 0.916350i \(-0.368878\pi\)
\(660\) −4.71626 1.26002i −0.183580 0.0490463i
\(661\) 30.2120 17.4429i 1.17511 0.678450i 0.220231 0.975448i \(-0.429319\pi\)
0.954878 + 0.296998i \(0.0959854\pi\)
\(662\) 26.8413 + 15.4969i 1.04322 + 0.602303i
\(663\) 6.53090 + 1.74483i 0.253639 + 0.0677636i
\(664\) 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
\(669\) −8.17968 8.16772i −0.316245 0.315782i
\(670\) −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 \(-0.874974\pi\)
0.923849 0.382758i \(-0.125026\pi\)
\(674\) 11.8763 6.85679i 0.457458 0.264114i
\(675\) 1.33385 5.02204i 0.0513398 0.193298i
\(676\) 11.1558 0.429069
\(677\) 31.0348 1.19276 0.596382 0.802701i \(-0.296605\pi\)
0.596382 + 0.802701i \(0.296605\pi\)
\(678\) −14.5038 + 14.5250i −0.557015 + 0.557830i
\(679\) 26.5540 + 15.3310i 1.01905 + 0.588349i
\(680\) −1.43697 2.48891i −0.0551053 0.0954452i
\(681\) 40.3068 + 10.7686i 1.54456 + 0.412653i
\(682\) 8.74380 15.1447i 0.334817 0.579920i
\(683\) 0.186788 0.00714726 0.00357363 0.999994i \(-0.498862\pi\)
0.00357363 + 0.999994i \(0.498862\pi\)
\(684\) −4.90593 12.1215i −0.187583 0.463479i
\(685\) −4.72492 −0.180530
\(686\) −5.93697 + 10.2831i −0.226675 + 0.392612i
\(687\) 36.2554 + 9.68618i 1.38323 + 0.369551i
\(688\) 2.63866 + 4.57030i 0.100598 + 0.174241i
\(689\) −4.61969 2.66718i −0.175996 0.101611i
\(690\) −4.57792 + 4.58462i −0.174278 + 0.174533i
\(691\) 45.2803 1.72254 0.861272 0.508144i \(-0.169668\pi\)
0.861272 + 0.508144i \(0.169668\pi\)
\(692\) 9.59513 0.364752
\(693\) −13.5339 + 23.5207i −0.514109 + 0.893479i
\(694\) 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
\(699\) 21.7339 + 21.7021i 0.822050 + 0.820848i
\(700\) 1.60470 2.77942i 0.0606520 0.105052i
\(701\) 14.6766 + 8.47353i 0.554327 + 0.320041i 0.750865 0.660455i \(-0.229637\pi\)
−0.196539 + 0.980496i \(0.562970\pi\)
\(702\) 4.97872 5.00062i 0.187910 0.188736i
\(703\) −19.2550 47.7759i −0.726215 1.80190i
\(704\) 2.81844i 0.106224i
\(705\) −15.9018 4.24842i −0.598897 0.160005i
\(706\) −28.5728 16.4965i −1.07535 0.620854i
\(707\) −54.4769 + 31.4523i −2.04881 + 1.18288i
\(708\) −6.20211 1.65699i −0.233089 0.0622735i
\(709\) 12.7967 + 22.1645i 0.480589 + 0.832405i 0.999752 0.0222707i \(-0.00708956\pi\)
−0.519163 + 0.854675i \(0.673756\pi\)
\(710\) 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
\(717\) −4.47529 + 16.7510i −0.167133 + 0.625577i
\(718\) 15.5156 8.95794i 0.579037 0.334307i
\(719\) −38.2562 22.0872i −1.42671 0.823714i −0.429854 0.902898i \(-0.641435\pi\)
−0.996860 + 0.0791847i \(0.974768\pi\)
\(720\) −3.00000 + 0.00438801i −0.111803 + 0.000163531i
\(721\) 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
\(726\) −3.74057 + 3.74605i −0.138826 + 0.139029i
\(727\) −5.60464 + 9.70752i −0.207865 + 0.360032i −0.951042 0.309063i \(-0.899985\pi\)
0.743177 + 0.669095i \(0.233318\pi\)
\(728\) 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
\(732\) −2.31586 + 2.31925i −0.0855966 + 0.0857219i
\(733\) −4.73362 −0.174840 −0.0874202 0.996172i \(-0.527862\pi\)
−0.0874202 + 0.996172i \(0.527862\pi\)
\(734\) −15.3242 −0.565625
\(735\) −4.04493 4.03902i −0.149200 0.148982i
\(736\) 3.23945 + 1.87030i 0.119408 + 0.0689400i
\(737\) −14.8975 25.8033i −0.548758 0.950477i
\(738\) 0.0516028 + 35.2799i 0.00189952 + 1.29867i
\(739\) 3.93967 6.82371i 0.144923 0.251014i −0.784421 0.620229i \(-0.787040\pi\)
0.929344 + 0.369214i \(0.120373\pi\)
\(740\) −11.8172 −0.434410
\(741\) 8.18906 6.16925i 0.300832 0.226633i
\(742\) 12.6067 0.462805
\(743\) 6.72320 11.6449i 0.246650 0.427211i −0.715944 0.698158i \(-0.754003\pi\)
0.962594 + 0.270947i \(0.0873368\pi\)
\(744\) 2.77390 10.3827i 0.101696 0.380649i
\(745\) −5.91288 10.2414i −0.216631 0.375216i
\(746\) 7.11335 + 4.10690i 0.260438 + 0.150364i
\(747\) 11.9899 20.8374i 0.438686 0.762400i
\(748\) 8.10003 0.296166
\(749\) 0.426981 0.0156015
\(750\) −1.22564 1.22385i −0.0447541 0.0446886i
\(751\) 28.4743 16.4397i 1.03904 0.599892i 0.119481 0.992836i \(-0.461877\pi\)
0.919562 + 0.392944i \(0.128543\pi\)
\(752\) 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
\(756\) −4.28085 + 16.1177i −0.155693 + 0.586196i
\(757\) 22.4848 38.9449i 0.817225 1.41548i −0.0904939 0.995897i \(-0.528845\pi\)
0.907719 0.419578i \(-0.137822\pi\)
\(758\) −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 \(0.943668\pi\)
\(762\) 0.619005 2.31693i 0.0224242 0.0839337i
\(763\) −31.2124 18.0205i −1.12996 0.652385i
\(764\) 1.63856 0.946026i 0.0592812 0.0342260i
\(765\) 0.0126109 + 8.62181i 0.000455947 + 0.311722i
\(766\) 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 0.999999 0.00159104i \(-0.000506444\pi\)
−0.501377 + 0.865229i \(0.667173\pi\)
\(770\) 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 \(-0.177190\pi\)
−0.882079 + 0.471101i \(0.843857\pi\)
\(774\) −0.0231570 15.8320i −0.000832359 0.569069i
\(775\) 5.37344 3.10235i 0.193019 0.111440i