Properties

Label 570.2.s.b.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.b.521.2

$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.67336 + 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 \(-0.860311\pi\)
0.905242 0.424896i \(-0.139689\pi\)
\(12\) 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
\(15\) −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 −0.166827 0.985986i \(-0.553352\pi\)
0.770475 + 0.637470i \(0.220019\pi\)
\(18\) 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 0.798147 0.602463i \(-0.205814\pi\)
−0.122675 + 0.992447i \(0.539147\pi\)
\(24\) 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 −0.728341 0.685215i \(-0.759708\pi\)
0.957584 + 0.288154i \(0.0930415\pi\)
\(30\) −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
\(33\) 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 \(0.423649\pi\)
−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 \(-0.796230\pi\)
−0.116301 0.993214i \(-0.537104\pi\)
\(42\) −3.92782 3.93357i −0.606076 0.606963i
\(43\) 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 0.960652 0.277754i \(-0.0895899\pi\)
0.239784 + 0.970826i \(0.422923\pi\)
\(48\) 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 −0.699026 0.715097i \(-0.746383\pi\)
0.968805 + 0.247826i \(0.0797160\pi\)
\(54\) −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 0.719810 0.694171i \(-0.244229\pi\)
−0.961075 + 0.276288i \(0.910896\pi\)
\(60\) −0.447064 1.67336i −0.0577157 0.216030i
\(61\) 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
\(63\) 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 −0.177470 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 0.812857 0.582464i \(-0.197911\pi\)
−0.910857 + 0.412723i \(0.864578\pi\)
\(72\) −2.60027 + 1.49620i −0.306444 + 0.176329i
\(73\) −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
\(78\) 0.607122 + 2.27245i 0.0687430 + 0.257305i
\(79\) 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
\(81\) 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 \(0.144951\pi\)
−0.898095 + 0.439801i \(0.855049\pi\)
\(84\) 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 −0.787612 0.616171i \(-0.788683\pi\)
0.927426 + 0.374006i \(0.122016\pi\)
\(90\) 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 −0.0172113 0.999852i \(-0.505479\pi\)
0.857291 + 0.514831i \(0.172145\pi\)
\(98\) 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 −0.955291 0.295667i \(-0.904458\pi\)
−0.733701 0.679472i \(-0.762209\pi\)
\(102\) −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
\(105\) −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 −0.887290 0.461211i \(-0.847415\pi\)
−0.0442242 + 0.999022i \(0.514082\pi\)
\(110\) 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 0.445854 0.895106i \(-0.352900\pi\)
−0.552257 + 0.833674i \(0.686233\pi\)
\(128\) 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 −0.999701 0.0244360i \(-0.992221\pi\)
−0.478689 + 0.877985i \(0.658888\pi\)
\(132\) −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 0.314912 0.949121i \(-0.398025\pi\)
−0.664507 + 0.747282i \(0.731358\pi\)
\(138\) −1.67228 6.25936i −0.142354 0.532832i
\(139\) 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
\(147\) −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 −0.856927 0.515437i \(-0.827630\pi\)
0.0179181 + 0.999839i \(0.494296\pi\)
\(150\) −1.67336 + 0.447064i −0.136629 + 0.0365026i
\(151\) 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
\(156\) −1.66444 + 1.66201i −0.133262 + 0.133067i
\(157\) 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
\(162\) 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 −0.0802078 + 0.996778i \(0.525558\pi\)
−0.823131 + 0.567851i \(0.807775\pi\)
\(168\) 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 0.623984 0.781437i \(-0.285513\pi\)
−0.988736 + 0.149668i \(0.952180\pi\)
\(174\) −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 −0.0620293 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
\(186\) 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 \(-0.978194\pi\)
0.997654 0.0684520i \(-0.0218060\pi\)
\(192\) −1.67336 + 0.447064i −0.120764 + 0.0322641i
\(193\) −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
\(195\) 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 \(-0.903369\pi\)
0.954273 0.298935i \(-0.0966315\pi\)
\(198\) 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
\(204\) −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 0.476576 0.879133i \(-0.341878\pi\)
0.999640 + 0.0268399i \(0.00854442\pi\)
\(212\) 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 −0.293839 0.955855i \(-0.594933\pi\)
0.680875 + 0.732400i \(0.261600\pi\)
\(224\) 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 −0.910037 0.414526i \(-0.863947\pi\)
−0.0960285 + 0.995379i \(0.530614\pi\)
\(234\) −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 \(0.104947\pi\)
−0.946139 + 0.323759i \(0.895053\pi\)
\(240\) 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
\(243\) −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 −0.304549 0.952497i \(-0.598506\pi\)
−0.977161 + 0.212501i \(0.931839\pi\)
\(252\) −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 −0.813746 0.581221i \(-0.802575\pi\)
0.910225 + 0.414114i \(0.135909\pi\)
\(258\) 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 −0.674439 0.738331i \(-0.735614\pi\)
0.302194 + 0.953247i \(0.402281\pi\)
\(264\) −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 0.977231 0.212177i \(-0.0680554\pi\)
−0.672366 + 0.740218i \(0.734722\pi\)
\(270\) −5.02204 + 1.33385i −0.305631 + 0.0811754i
\(271\) −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
\(276\) 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 −0.783005 0.622015i \(-0.786314\pi\)
0.930184 + 0.367094i \(0.119647\pi\)
\(282\) −4.24842 15.9018i −0.252990 0.946940i
\(283\) −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
\(285\) −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 −0.924139 0.382056i \(-0.875216\pi\)
−0.131200 + 0.991356i \(0.541883\pi\)
\(308\) 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 \(0.102333\pi\)
−0.948766 + 0.315980i \(0.897667\pi\)
\(312\) −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 −0.809492 0.587131i \(-0.800257\pi\)
0.913217 + 0.407475i \(0.133591\pi\)
\(318\) −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 \(-0.675521\pi\)
0.523892 0.851784i \(-0.324479\pi\)
\(332\) −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 −0.140340 0.990103i \(-0.544820\pi\)
0.787284 + 0.616590i \(0.211486\pi\)
\(338\) 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 0.00765736 0.999971i \(-0.497563\pi\)
0.869829 + 0.493354i \(0.164229\pi\)
\(348\) −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 \(0.341136\pi\)
−0.478623 + 0.878020i \(0.658864\pi\)
\(354\) −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 −0.0311486 0.999515i \(-0.509917\pi\)
0.850031 + 0.526733i \(0.176583\pi\)
\(360\) −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 −0.993720 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
\(375\) 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 \(0.283399\pi\)
−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 \(-0.977246\pi\)
0.436868 0.899526i \(-0.356088\pi\)
\(384\) −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 0.920910 0.389776i \(-0.127447\pi\)
0.122899 + 0.992419i \(0.460781\pi\)
\(390\) 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 −0.926065 0.377364i \(-0.876830\pi\)
0.136225 0.990678i \(-0.456503\pi\)
\(398\) −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 0.960213 + 0.279268i \(0.0900918\pi\)
−0.238253 + 0.971203i \(0.576575\pi\)
\(402\) 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 0.994203 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
\(414\) 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 \(-0.946148\pi\)
0.985723 0.168375i \(-0.0538519\pi\)
\(420\) −1.43481 5.37049i −0.0700115 0.262053i
\(421\) −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
\(423\) 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 −0.966951 0.254963i \(-0.917937\pi\)
0.704280 + 0.709923i \(0.251270\pi\)
\(432\) 5.01614 + 1.35587i 0.241339 + 0.0652344i
\(433\) −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
\(435\) 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 −0.0435774 0.999050i \(-0.513876\pi\)
0.843414 + 0.537264i \(0.180542\pi\)
\(440\) 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 0.0423420 0.999103i \(-0.486518\pi\)
−0.844078 + 0.536221i \(0.819851\pi\)
\(444\) 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 0.348518 0.937302i \(-0.386685\pi\)
0.985986 + 0.166825i \(0.0533516\pi\)
\(462\) −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 \(0.405297\pi\)
−0.293148 + 0.956067i \(0.594703\pi\)
\(468\) 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 0.638994 0.769212i \(-0.279351\pi\)
−0.346660 + 0.937991i \(0.612684\pi\)
\(480\) 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 \(-0.980948\pi\)
0.998209 0.0598180i \(-0.0190520\pi\)
\(488\) −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 −0.783871 0.620924i \(-0.786757\pi\)
0.145801 + 0.989314i \(0.453424\pi\)
\(492\) −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 0.666110 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 0.0963836 0.995344i \(-0.469272\pi\)
−0.813802 + 0.581143i \(0.802606\pi\)
\(504\) −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 −0.658860 0.752265i \(-0.728961\pi\)
0.980911 + 0.194457i \(0.0622945\pi\)
\(510\) −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 0.0560782 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
\(528\) 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 −0.0724514 + 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
\(546\) 1.94850 + 7.29322i 0.0833880 + 0.312121i
\(547\) −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
\(549\) 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 0.677279 0.735727i \(-0.263159\pi\)
−0.298518 + 0.954404i \(0.596492\pi\)
\(558\) −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 −0.437520 0.899209i \(-0.644143\pi\)
0.559977 + 0.828508i \(0.310810\pi\)
\(588\) 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 −0.998296 0.0583555i \(-0.981414\pi\)
−0.549685 0.835372i \(-0.685252\pi\)
\(594\) −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 −0.644554 0.764559i \(-0.722957\pi\)
0.984404 + 0.175920i \(0.0562901\pi\)
\(600\) 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
\(603\) −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 \(0.169930\pi\)
−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
\(612\) 4.29998 + 7.47301i 0.173817 + 0.302079i
\(613\) −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 0.388581 0.921415i \(-0.372965\pi\)
−0.603678 + 0.797228i \(0.706299\pi\)
\(618\) 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 −0.941945 0.335766i \(-0.891005\pi\)
0.761755 + 0.647866i \(0.224338\pi\)
\(632\) −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 0.973364 0.229266i \(-0.0736325\pi\)
−0.685232 + 0.728325i \(0.740299\pi\)
\(642\) −0.162822 0.163060i −0.00642606 0.00643546i
\(643\) −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 \(-0.931718\pi\)
0.977080 0.212872i \(-0.0682816\pi\)
\(648\) −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 \(-0.720497\pi\)
0.638625 0.769518i \(-0.279503\pi\)
\(654\) 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 \(0.368878\pi\)
−0.993772 + 0.111436i \(0.964455\pi\)
\(660\) −4.71626 + 1.26002i −0.183580 + 0.0490463i
\(661\) 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
\(663\) 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 \(0.125026\pi\)
−0.923849 + 0.382758i \(0.874974\pi\)
\(674\) 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 −0.196539 0.980496i \(-0.562970\pi\)
0.750865 + 0.660455i \(0.229637\pi\)
\(702\) 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 −0.519163 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
\(717\) −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 −0.996860 0.0791847i \(-0.974768\pi\)
−0.429854 + 0.902898i \(0.641435\pi\)
\(720\) −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 0.743177 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
\(732\) −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 0.929344 0.369214i \(-0.120373\pi\)
−0.784421 + 0.620229i \(0.787040\pi\)
\(740\) −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 0.962594 0.270947i \(-0.0873368\pi\)
−0.715944 + 0.698158i \(0.754003\pi\)
\(744\) 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 0.919562 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
\(756\) −4.28085 16.1177i −0.155693 0.586196i
\(757\) 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 \(-0.943668\pi\)
0.984381 0.176049i \(-0.0563316\pi\)
\(762\) 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 −0.501377 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 −0.882079 0.471101i \(-0.843857\pi\)
0.849025 + 0.528352i \(0.177190\pi\)
\(774\) −0.0231570 + 15.8320i −0.000832359 + 0.569069i
\(775\) 5.37344 + 3.10235i 0.193019