Properties

Label 585.2.bt.b.571.19
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.19
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.883008 + 0.509805i) q^{2} +(-0.597446 - 1.62575i) q^{3} +(-0.480198 + 0.831727i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.35636 + 1.13097i) q^{6} +(-3.32453 + 1.91942i) q^{7} -3.01845i q^{8} +(-2.28612 + 1.94260i) q^{9} +O(q^{10})\) \(q+(-0.883008 + 0.509805i) q^{2} +(-0.597446 - 1.62575i) q^{3} +(-0.480198 + 0.831727i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.35636 + 1.13097i) q^{6} +(-3.32453 + 1.91942i) q^{7} -3.01845i q^{8} +(-2.28612 + 1.94260i) q^{9} +1.01961 q^{10} +(-1.97745 + 1.14168i) q^{11} +(1.63907 + 0.283769i) q^{12} +(3.56410 + 0.545131i) q^{13} +(1.95706 - 3.38972i) q^{14} +(-0.295470 + 1.70666i) q^{15} +(0.578424 + 1.00186i) q^{16} +7.50452 q^{17} +(1.02831 - 2.88080i) q^{18} -2.31692i q^{19} +(0.831727 - 0.480198i) q^{20} +(5.10672 + 4.25810i) q^{21} +(1.16407 - 2.01622i) q^{22} +(1.68012 - 2.91006i) q^{23} +(-4.90724 + 1.80336i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-3.42504 + 1.33564i) q^{26} +(4.52400 + 2.55605i) q^{27} -3.68680i q^{28} +(-4.07714 - 7.06182i) q^{29} +(-0.609162 - 1.65763i) q^{30} +(-3.49528 - 2.01800i) q^{31} +(4.20660 + 2.42868i) q^{32} +(3.03750 + 2.53274i) q^{33} +(-6.62655 + 3.82584i) q^{34} +3.83884 q^{35} +(-0.517922 - 2.83426i) q^{36} +0.546920i q^{37} +(1.18118 + 2.04586i) q^{38} +(-1.24312 - 6.12002i) q^{39} +(-1.50922 + 2.61405i) q^{40} +(6.35971 + 3.67178i) q^{41} +(-6.68007 - 1.15651i) q^{42} +(-0.826744 - 1.43196i) q^{43} -2.19293i q^{44} +(2.95113 - 0.539279i) q^{45} +3.42614i q^{46} +(7.13335 - 4.11844i) q^{47} +(1.28319 - 1.53893i) q^{48} +(3.86833 - 6.70015i) q^{49} +(-0.883008 - 0.509805i) q^{50} +(-4.48355 - 12.2005i) q^{51} +(-2.16488 + 2.70259i) q^{52} +7.10215 q^{53} +(-5.29782 + 0.0493446i) q^{54} +2.28336 q^{55} +(5.79367 + 10.0349i) q^{56} +(-3.76673 + 1.38424i) q^{57} +(7.20030 + 4.15710i) q^{58} +(6.45792 + 3.72848i) q^{59} +(-1.27759 - 1.06529i) q^{60} +(5.77492 + 10.0025i) q^{61} +4.11515 q^{62} +(3.87161 - 10.8462i) q^{63} -7.26631 q^{64} +(-2.81404 - 2.25415i) q^{65} +(-3.97334 - 0.687894i) q^{66} +(-6.43546 - 3.71551i) q^{67} +(-3.60366 + 6.24172i) q^{68} +(-5.73480 - 0.992853i) q^{69} +(-3.38972 + 1.95706i) q^{70} -7.19213i q^{71} +(5.86362 + 6.90052i) q^{72} -7.74780i q^{73} +(-0.278822 - 0.482935i) q^{74} +(1.10922 - 1.33028i) q^{75} +(1.92705 + 1.11258i) q^{76} +(4.38272 - 7.59109i) q^{77} +(4.21770 + 4.77028i) q^{78} +(6.19823 + 10.7357i) q^{79} -1.15685i q^{80} +(1.45265 - 8.88199i) q^{81} -7.48756 q^{82} +(5.81320 - 3.35625i) q^{83} +(-5.99382 + 2.20267i) q^{84} +(-6.49911 - 3.75226i) q^{85} +(1.46004 + 0.842957i) q^{86} +(-9.04487 + 10.8475i) q^{87} +(3.44610 + 5.96882i) q^{88} +6.46613i q^{89} +(-2.33095 + 1.98069i) q^{90} +(-12.8953 + 5.02870i) q^{91} +(1.61358 + 2.79481i) q^{92} +(-1.19252 + 6.88809i) q^{93} +(-4.19920 + 7.27323i) q^{94} +(-1.15846 + 2.00651i) q^{95} +(1.43521 - 8.28988i) q^{96} +(10.1032 - 5.83306i) q^{97} +7.88838i q^{98} +(2.30285 - 6.45139i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.883008 + 0.509805i −0.624381 + 0.360486i −0.778573 0.627554i \(-0.784056\pi\)
0.154192 + 0.988041i \(0.450723\pi\)
\(3\) −0.597446 1.62575i −0.344936 0.938626i
\(4\) −0.480198 + 0.831727i −0.240099 + 0.415864i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.35636 + 1.13097i 0.553733 + 0.461716i
\(7\) −3.32453 + 1.91942i −1.25655 + 0.725472i −0.972403 0.233307i \(-0.925045\pi\)
−0.284151 + 0.958779i \(0.591712\pi\)
\(8\) 3.01845i 1.06718i
\(9\) −2.28612 + 1.94260i −0.762038 + 0.647532i
\(10\) 1.01961 0.322429
\(11\) −1.97745 + 1.14168i −0.596222 + 0.344229i −0.767554 0.640984i \(-0.778526\pi\)
0.171332 + 0.985213i \(0.445193\pi\)
\(12\) 1.63907 + 0.283769i 0.473159 + 0.0819169i
\(13\) 3.56410 + 0.545131i 0.988504 + 0.151192i
\(14\) 1.95706 3.38972i 0.523046 0.905942i
\(15\) −0.295470 + 1.70666i −0.0762901 + 0.440658i
\(16\) 0.578424 + 1.00186i 0.144606 + 0.250465i
\(17\) 7.50452 1.82011 0.910057 0.414483i \(-0.136037\pi\)
0.910057 + 0.414483i \(0.136037\pi\)
\(18\) 1.02831 2.88080i 0.242376 0.679011i
\(19\) 2.31692i 0.531539i −0.964037 0.265769i \(-0.914374\pi\)
0.964037 0.265769i \(-0.0856260\pi\)
\(20\) 0.831727 0.480198i 0.185980 0.107376i
\(21\) 5.10672 + 4.25810i 1.11438 + 0.929194i
\(22\) 1.16407 2.01622i 0.248180 0.429860i
\(23\) 1.68012 2.91006i 0.350330 0.606789i −0.635977 0.771708i \(-0.719403\pi\)
0.986307 + 0.164919i \(0.0527362\pi\)
\(24\) −4.90724 + 1.80336i −1.00169 + 0.368110i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −3.42504 + 1.33564i −0.671706 + 0.261941i
\(27\) 4.52400 + 2.55605i 0.870645 + 0.491912i
\(28\) 3.68680i 0.696740i
\(29\) −4.07714 7.06182i −0.757107 1.31135i −0.944320 0.329028i \(-0.893279\pi\)
0.187213 0.982319i \(-0.440054\pi\)
\(30\) −0.609162 1.65763i −0.111217 0.302640i
\(31\) −3.49528 2.01800i −0.627771 0.362444i 0.152117 0.988362i \(-0.451391\pi\)
−0.779888 + 0.625919i \(0.784724\pi\)
\(32\) 4.20660 + 2.42868i 0.743629 + 0.429334i
\(33\) 3.03750 + 2.53274i 0.528761 + 0.440893i
\(34\) −6.62655 + 3.82584i −1.13644 + 0.656127i
\(35\) 3.83884 0.648882
\(36\) −0.517922 2.83426i −0.0863203 0.472376i
\(37\) 0.546920i 0.0899131i 0.998989 + 0.0449565i \(0.0143149\pi\)
−0.998989 + 0.0449565i \(0.985685\pi\)
\(38\) 1.18118 + 2.04586i 0.191613 + 0.331883i
\(39\) −1.24312 6.12002i −0.199058 0.979988i
\(40\) −1.50922 + 2.61405i −0.238629 + 0.413318i
\(41\) 6.35971 + 3.67178i 0.993219 + 0.573436i 0.906235 0.422774i \(-0.138944\pi\)
0.0869844 + 0.996210i \(0.472277\pi\)
\(42\) −6.68007 1.15651i −1.03076 0.178453i
\(43\) −0.826744 1.43196i −0.126077 0.218372i 0.796076 0.605196i \(-0.206905\pi\)
−0.922154 + 0.386824i \(0.873572\pi\)
\(44\) 2.19293i 0.330596i
\(45\) 2.95113 0.539279i 0.439929 0.0803910i
\(46\) 3.42614i 0.505157i
\(47\) 7.13335 4.11844i 1.04051 0.600737i 0.120530 0.992710i \(-0.461541\pi\)
0.919977 + 0.391973i \(0.128207\pi\)
\(48\) 1.28319 1.53893i 0.185213 0.222125i
\(49\) 3.86833 6.70015i 0.552619 0.957164i
\(50\) −0.883008 0.509805i −0.124876 0.0720973i
\(51\) −4.48355 12.2005i −0.627823 1.70841i
\(52\) −2.16488 + 2.70259i −0.300214 + 0.374782i
\(53\) 7.10215 0.975555 0.487778 0.872968i \(-0.337808\pi\)
0.487778 + 0.872968i \(0.337808\pi\)
\(54\) −5.29782 + 0.0493446i −0.720942 + 0.00671495i
\(55\) 2.28336 0.307888
\(56\) 5.79367 + 10.0349i 0.774211 + 1.34097i
\(57\) −3.76673 + 1.38424i −0.498916 + 0.183347i
\(58\) 7.20030 + 4.15710i 0.945446 + 0.545853i
\(59\) 6.45792 + 3.72848i 0.840750 + 0.485407i 0.857519 0.514452i \(-0.172005\pi\)
−0.0167693 + 0.999859i \(0.505338\pi\)
\(60\) −1.27759 1.06529i −0.164937 0.137528i
\(61\) 5.77492 + 10.0025i 0.739403 + 1.28068i 0.952765 + 0.303710i \(0.0982254\pi\)
−0.213362 + 0.976973i \(0.568441\pi\)
\(62\) 4.11515 0.522624
\(63\) 3.87161 10.8462i 0.487777 1.36650i
\(64\) −7.26631 −0.908289
\(65\) −2.81404 2.25415i −0.349039 0.279593i
\(66\) −3.97334 0.687894i −0.489084 0.0846739i
\(67\) −6.43546 3.71551i −0.786217 0.453922i 0.0524124 0.998626i \(-0.483309\pi\)
−0.838629 + 0.544703i \(0.816642\pi\)
\(68\) −3.60366 + 6.24172i −0.437008 + 0.756919i
\(69\) −5.73480 0.992853i −0.690389 0.119525i
\(70\) −3.38972 + 1.95706i −0.405149 + 0.233913i
\(71\) 7.19213i 0.853549i −0.904358 0.426774i \(-0.859650\pi\)
0.904358 0.426774i \(-0.140350\pi\)
\(72\) 5.86362 + 6.90052i 0.691035 + 0.813234i
\(73\) 7.74780i 0.906811i −0.891304 0.453406i \(-0.850209\pi\)
0.891304 0.453406i \(-0.149791\pi\)
\(74\) −0.278822 0.482935i −0.0324125 0.0561400i
\(75\) 1.10922 1.33028i 0.128081 0.153607i
\(76\) 1.92705 + 1.11258i 0.221048 + 0.127622i
\(77\) 4.38272 7.59109i 0.499457 0.865085i
\(78\) 4.21770 + 4.77028i 0.477560 + 0.540128i
\(79\) 6.19823 + 10.7357i 0.697356 + 1.20786i 0.969380 + 0.245565i \(0.0789735\pi\)
−0.272025 + 0.962290i \(0.587693\pi\)
\(80\) 1.15685i 0.129339i
\(81\) 1.45265 8.88199i 0.161405 0.986888i
\(82\) −7.48756 −0.826863
\(83\) 5.81320 3.35625i 0.638082 0.368397i −0.145793 0.989315i \(-0.546573\pi\)
0.783875 + 0.620918i \(0.213240\pi\)
\(84\) −5.99382 + 2.20267i −0.653979 + 0.240331i
\(85\) −6.49911 3.75226i −0.704927 0.406990i
\(86\) 1.46004 + 0.842957i 0.157441 + 0.0908984i
\(87\) −9.04487 + 10.8475i −0.969712 + 1.16297i
\(88\) 3.44610 + 5.96882i 0.367355 + 0.636278i
\(89\) 6.46613i 0.685408i 0.939443 + 0.342704i \(0.111343\pi\)
−0.939443 + 0.342704i \(0.888657\pi\)
\(90\) −2.33095 + 1.98069i −0.245703 + 0.208783i
\(91\) −12.8953 + 5.02870i −1.35180 + 0.527151i
\(92\) 1.61358 + 2.79481i 0.168228 + 0.291379i
\(93\) −1.19252 + 6.88809i −0.123658 + 0.714262i
\(94\) −4.19920 + 7.27323i −0.433115 + 0.750177i
\(95\) −1.15846 + 2.00651i −0.118856 + 0.205864i
\(96\) 1.43521 8.28988i 0.146480 0.846083i
\(97\) 10.1032 5.83306i 1.02582 0.592257i 0.110035 0.993928i \(-0.464904\pi\)
0.915784 + 0.401670i \(0.131570\pi\)
\(98\) 7.88838i 0.796847i
\(99\) 2.30285 6.45139i 0.231445 0.648389i
\(100\) −0.960396 −0.0960396
\(101\) −1.51884 2.63071i −0.151130 0.261765i 0.780513 0.625140i \(-0.214958\pi\)
−0.931643 + 0.363374i \(0.881625\pi\)
\(102\) 10.1789 + 8.48737i 1.00786 + 0.840375i
\(103\) −9.34492 + 16.1859i −0.920783 + 1.59484i −0.122575 + 0.992459i \(0.539115\pi\)
−0.798207 + 0.602383i \(0.794218\pi\)
\(104\) 1.64545 10.7581i 0.161350 1.05491i
\(105\) −2.29350 6.24098i −0.223823 0.609058i
\(106\) −6.27125 + 3.62071i −0.609118 + 0.351674i
\(107\) −6.42736 −0.621357 −0.310678 0.950515i \(-0.600556\pi\)
−0.310678 + 0.950515i \(0.600556\pi\)
\(108\) −4.29836 + 2.53533i −0.413609 + 0.243962i
\(109\) 0.188689i 0.0180731i 0.999959 + 0.00903656i \(0.00287646\pi\)
−0.999959 + 0.00903656i \(0.997124\pi\)
\(110\) −2.01622 + 1.16407i −0.192239 + 0.110989i
\(111\) 0.889154 0.326755i 0.0843948 0.0310143i
\(112\) −3.84597 2.22047i −0.363410 0.209815i
\(113\) 0.0907879 0.157249i 0.00854061 0.0147928i −0.861724 0.507378i \(-0.830615\pi\)
0.870264 + 0.492585i \(0.163948\pi\)
\(114\) 2.62037 3.14259i 0.245420 0.294331i
\(115\) −2.91006 + 1.68012i −0.271364 + 0.156672i
\(116\) 7.83135 0.727122
\(117\) −9.20692 + 5.67738i −0.851180 + 0.524874i
\(118\) −7.60319 −0.699931
\(119\) −24.9490 + 14.4043i −2.28707 + 1.32044i
\(120\) 5.15147 + 0.891862i 0.470263 + 0.0814155i
\(121\) −2.89314 + 5.01106i −0.263013 + 0.455551i
\(122\) −10.1986 5.88817i −0.923338 0.533089i
\(123\) 2.16980 12.5330i 0.195645 1.13006i
\(124\) 3.35685 1.93808i 0.301454 0.174045i
\(125\) 1.00000i 0.0894427i
\(126\) 2.11080 + 11.5511i 0.188045 + 1.02905i
\(127\) 9.18483 0.815022 0.407511 0.913200i \(-0.366397\pi\)
0.407511 + 0.913200i \(0.366397\pi\)
\(128\) −1.99699 + 1.15296i −0.176511 + 0.101909i
\(129\) −1.83408 + 2.19960i −0.161481 + 0.193664i
\(130\) 3.63399 + 0.555821i 0.318722 + 0.0487487i
\(131\) 0.668898 1.15857i 0.0584419 0.101224i −0.835324 0.549758i \(-0.814720\pi\)
0.893766 + 0.448533i \(0.148053\pi\)
\(132\) −3.56515 + 1.31016i −0.310306 + 0.114035i
\(133\) 4.44715 + 7.70268i 0.385616 + 0.667907i
\(134\) 7.57675 0.654531
\(135\) −2.63988 4.47561i −0.227204 0.385199i
\(136\) 22.6520i 1.94239i
\(137\) 0.388221 0.224140i 0.0331680 0.0191495i −0.483324 0.875441i \(-0.660571\pi\)
0.516492 + 0.856292i \(0.327237\pi\)
\(138\) 5.57004 2.04693i 0.474153 0.174247i
\(139\) 9.89704 17.1422i 0.839456 1.45398i −0.0508945 0.998704i \(-0.516207\pi\)
0.890350 0.455276i \(-0.150459\pi\)
\(140\) −1.84340 + 3.19287i −0.155796 + 0.269846i
\(141\) −10.9573 9.13649i −0.922775 0.769431i
\(142\) 3.66658 + 6.35071i 0.307693 + 0.532939i
\(143\) −7.67018 + 2.99109i −0.641413 + 0.250128i
\(144\) −3.26855 1.16672i −0.272379 0.0972269i
\(145\) 8.15429i 0.677177i
\(146\) 3.94986 + 6.84137i 0.326893 + 0.566196i
\(147\) −13.2039 2.28596i −1.08904 0.188542i
\(148\) −0.454888 0.262630i −0.0373916 0.0215880i
\(149\) −9.24192 5.33582i −0.757127 0.437128i 0.0711360 0.997467i \(-0.477338\pi\)
−0.828263 + 0.560339i \(0.810671\pi\)
\(150\) −0.301264 + 1.74013i −0.0245981 + 0.142081i
\(151\) 12.1571 7.01893i 0.989334 0.571192i 0.0842590 0.996444i \(-0.473148\pi\)
0.905075 + 0.425251i \(0.139814\pi\)
\(152\) −6.99351 −0.567249
\(153\) −17.1562 + 14.5783i −1.38700 + 1.17858i
\(154\) 8.93732i 0.720190i
\(155\) 2.01800 + 3.49528i 0.162090 + 0.280748i
\(156\) 5.68713 + 1.90489i 0.455335 + 0.152513i
\(157\) 6.23726 10.8032i 0.497787 0.862193i −0.502210 0.864746i \(-0.667479\pi\)
0.999997 + 0.00255322i \(0.000812715\pi\)
\(158\) −10.9462 6.31978i −0.870831 0.502775i
\(159\) −4.24315 11.5463i −0.336504 0.915682i
\(160\) −2.42868 4.20660i −0.192004 0.332561i
\(161\) 12.8994i 1.01662i
\(162\) 3.24538 + 8.58344i 0.254981 + 0.674379i
\(163\) 8.11257i 0.635425i 0.948187 + 0.317713i \(0.102915\pi\)
−0.948187 + 0.317713i \(0.897085\pi\)
\(164\) −6.10784 + 3.52636i −0.476942 + 0.275363i
\(165\) −1.36418 3.71216i −0.106202 0.288992i
\(166\) −3.42207 + 5.92720i −0.265604 + 0.460040i
\(167\) 7.32936 + 4.23161i 0.567163 + 0.327452i 0.756015 0.654554i \(-0.227143\pi\)
−0.188852 + 0.982005i \(0.560477\pi\)
\(168\) 12.8529 15.4144i 0.991619 1.18924i
\(169\) 12.4057 + 3.88581i 0.954282 + 0.298908i
\(170\) 7.65169 0.586857
\(171\) 4.50084 + 5.29675i 0.344188 + 0.405053i
\(172\) 1.58800 0.121084
\(173\) −13.0267 22.5630i −0.990404 1.71543i −0.614890 0.788613i \(-0.710800\pi\)
−0.375514 0.926817i \(-0.622534\pi\)
\(174\) 2.45660 14.1895i 0.186234 1.07570i
\(175\) −3.32453 1.91942i −0.251311 0.145094i
\(176\) −2.28760 1.32075i −0.172435 0.0995551i
\(177\) 2.20331 12.7265i 0.165611 0.956584i
\(178\) −3.29646 5.70964i −0.247080 0.427956i
\(179\) −19.3448 −1.44590 −0.722948 0.690902i \(-0.757213\pi\)
−0.722948 + 0.690902i \(0.757213\pi\)
\(180\) −0.968594 + 2.71350i −0.0721948 + 0.202252i
\(181\) −9.00966 −0.669683 −0.334841 0.942274i \(-0.608683\pi\)
−0.334841 + 0.942274i \(0.608683\pi\)
\(182\) 8.82300 11.0145i 0.654004 0.816447i
\(183\) 12.8113 15.3645i 0.947036 1.13578i
\(184\) −8.78386 5.07136i −0.647555 0.373866i
\(185\) 0.273460 0.473647i 0.0201052 0.0348232i
\(186\) −2.45858 6.69019i −0.180272 0.490549i
\(187\) −14.8398 + 8.56776i −1.08519 + 0.626536i
\(188\) 7.91067i 0.576945i
\(189\) −19.9463 + 0.185783i −1.45088 + 0.0135137i
\(190\) 2.36236i 0.171383i
\(191\) 0.575599 + 0.996967i 0.0416489 + 0.0721380i 0.886098 0.463497i \(-0.153406\pi\)
−0.844450 + 0.535635i \(0.820072\pi\)
\(192\) 4.34123 + 11.8132i 0.313301 + 0.852544i
\(193\) 14.7966 + 8.54284i 1.06509 + 0.614927i 0.926835 0.375470i \(-0.122519\pi\)
0.138251 + 0.990397i \(0.455852\pi\)
\(194\) −5.94744 + 10.3013i −0.427002 + 0.739588i
\(195\) −1.98344 + 5.92165i −0.142037 + 0.424058i
\(196\) 3.71513 + 6.43480i 0.265367 + 0.459628i
\(197\) 23.3323i 1.66236i −0.556006 0.831178i \(-0.687667\pi\)
0.556006 0.831178i \(-0.312333\pi\)
\(198\) 1.25551 + 6.87063i 0.0892255 + 0.488274i
\(199\) −22.4339 −1.59030 −0.795148 0.606415i \(-0.792607\pi\)
−0.795148 + 0.606415i \(0.792607\pi\)
\(200\) 2.61405 1.50922i 0.184841 0.106718i
\(201\) −2.19565 + 12.6823i −0.154869 + 0.894538i
\(202\) 2.68230 + 1.54862i 0.188726 + 0.108961i
\(203\) 27.1092 + 15.6515i 1.90269 + 1.09852i
\(204\) 12.3005 + 2.12955i 0.861204 + 0.149098i
\(205\) −3.67178 6.35971i −0.256448 0.444181i
\(206\) 19.0563i 1.32772i
\(207\) 1.81211 + 9.91653i 0.125950 + 0.689246i
\(208\) 1.51542 + 3.88605i 0.105075 + 0.269449i
\(209\) 2.64518 + 4.58159i 0.182971 + 0.316915i
\(210\) 5.20686 + 4.34160i 0.359308 + 0.299599i
\(211\) −1.42676 + 2.47121i −0.0982219 + 0.170125i −0.910949 0.412520i \(-0.864649\pi\)
0.812727 + 0.582645i \(0.197982\pi\)
\(212\) −3.41044 + 5.90705i −0.234230 + 0.405698i
\(213\) −11.6926 + 4.29691i −0.801163 + 0.294420i
\(214\) 5.67541 3.27670i 0.387963 0.223991i
\(215\) 1.65349i 0.112767i
\(216\) 7.71531 13.6555i 0.524960 0.929137i
\(217\) 15.4936 1.05177
\(218\) −0.0961945 0.166614i −0.00651511 0.0112845i
\(219\) −12.5960 + 4.62889i −0.851157 + 0.312792i
\(220\) −1.09646 + 1.89913i −0.0739236 + 0.128039i
\(221\) 26.7469 + 4.09095i 1.79919 + 0.275187i
\(222\) −0.618549 + 0.741823i −0.0415143 + 0.0497879i
\(223\) 7.75167 4.47543i 0.519090 0.299697i −0.217472 0.976067i \(-0.569781\pi\)
0.736562 + 0.676370i \(0.236448\pi\)
\(224\) −18.6466 −1.24588
\(225\) −2.82539 1.00854i −0.188360 0.0672358i
\(226\) 0.185137i 0.0123151i
\(227\) 10.4464 6.03126i 0.693355 0.400309i −0.111513 0.993763i \(-0.535570\pi\)
0.804868 + 0.593454i \(0.202236\pi\)
\(228\) 0.657470 3.79760i 0.0435420 0.251503i
\(229\) 19.0488 + 10.9978i 1.25878 + 0.726755i 0.972837 0.231492i \(-0.0743608\pi\)
0.285940 + 0.958247i \(0.407694\pi\)
\(230\) 1.71307 2.96712i 0.112956 0.195646i
\(231\) −14.9596 2.58993i −0.984272 0.170405i
\(232\) −21.3157 + 12.3067i −1.39945 + 0.807971i
\(233\) 18.6627 1.22263 0.611316 0.791387i \(-0.290641\pi\)
0.611316 + 0.791387i \(0.290641\pi\)
\(234\) 5.23543 9.70690i 0.342251 0.634560i
\(235\) −8.23689 −0.537315
\(236\) −6.20216 + 3.58082i −0.403726 + 0.233091i
\(237\) 13.7504 16.4907i 0.893182 1.07119i
\(238\) 14.6868 25.4383i 0.952003 1.64892i
\(239\) −0.139921 0.0807834i −0.00905073 0.00522544i 0.495468 0.868626i \(-0.334997\pi\)
−0.504519 + 0.863401i \(0.668330\pi\)
\(240\) −1.88074 + 0.691154i −0.121401 + 0.0446138i
\(241\) −1.45945 + 0.842613i −0.0940114 + 0.0542775i −0.546269 0.837610i \(-0.683952\pi\)
0.452257 + 0.891888i \(0.350619\pi\)
\(242\) 5.89975i 0.379250i
\(243\) −15.3078 + 2.94488i −0.981994 + 0.188914i
\(244\) −11.0924 −0.710120
\(245\) −6.70015 + 3.86833i −0.428057 + 0.247139i
\(246\) 4.47342 + 12.1729i 0.285215 + 0.776115i
\(247\) 1.26303 8.25775i 0.0803645 0.525428i
\(248\) −6.09123 + 10.5503i −0.386794 + 0.669946i
\(249\) −8.92950 7.44562i −0.565884 0.471847i
\(250\) 0.509805 + 0.883008i 0.0322429 + 0.0558463i
\(251\) 16.3409 1.03143 0.515714 0.856761i \(-0.327527\pi\)
0.515714 + 0.856761i \(0.327527\pi\)
\(252\) 7.16197 + 8.42846i 0.451162 + 0.530943i
\(253\) 7.67264i 0.482375i
\(254\) −8.11028 + 4.68247i −0.508884 + 0.293804i
\(255\) −2.21736 + 12.8077i −0.138857 + 0.802049i
\(256\) 8.44188 14.6218i 0.527618 0.913861i
\(257\) 0.0607070 0.105148i 0.00378680 0.00655893i −0.864126 0.503276i \(-0.832128\pi\)
0.867913 + 0.496717i \(0.165461\pi\)
\(258\) 0.498137 2.87729i 0.0310127 0.179132i
\(259\) −1.04977 1.81825i −0.0652294 0.112981i
\(260\) 3.22613 1.25807i 0.200076 0.0780225i
\(261\) 23.0391 + 8.22390i 1.42608 + 0.509046i
\(262\) 1.36403i 0.0842700i
\(263\) −3.71682 6.43773i −0.229189 0.396967i 0.728379 0.685175i \(-0.240274\pi\)
−0.957568 + 0.288207i \(0.906941\pi\)
\(264\) 7.64494 9.16854i 0.470513 0.564284i
\(265\) −6.15064 3.55107i −0.377831 0.218141i
\(266\) −7.85373 4.53435i −0.481543 0.278019i
\(267\) 10.5123 3.86316i 0.643342 0.236422i
\(268\) 6.18059 3.56837i 0.377540 0.217973i
\(269\) 11.1991 0.682823 0.341412 0.939914i \(-0.389095\pi\)
0.341412 + 0.939914i \(0.389095\pi\)
\(270\) 4.61272 + 2.60618i 0.280721 + 0.158607i
\(271\) 15.2574i 0.926821i −0.886144 0.463410i \(-0.846626\pi\)
0.886144 0.463410i \(-0.153374\pi\)
\(272\) 4.34079 + 7.51848i 0.263199 + 0.455875i
\(273\) 15.8797 + 17.9601i 0.961080 + 1.08700i
\(274\) −0.228535 + 0.395834i −0.0138063 + 0.0239132i
\(275\) −1.97745 1.14168i −0.119244 0.0688458i
\(276\) 3.57962 4.29303i 0.215468 0.258410i
\(277\) −2.37420 4.11224i −0.142652 0.247080i 0.785843 0.618427i \(-0.212230\pi\)
−0.928494 + 0.371346i \(0.878896\pi\)
\(278\) 20.1822i 1.21045i
\(279\) 11.9108 2.17653i 0.713079 0.130306i
\(280\) 11.5873i 0.692476i
\(281\) −11.8137 + 6.82064i −0.704746 + 0.406885i −0.809113 0.587654i \(-0.800052\pi\)
0.104367 + 0.994539i \(0.466718\pi\)
\(282\) 14.3332 + 2.48148i 0.853533 + 0.147770i
\(283\) −3.90498 + 6.76362i −0.232127 + 0.402056i −0.958434 0.285315i \(-0.907902\pi\)
0.726307 + 0.687371i \(0.241235\pi\)
\(284\) 5.98189 + 3.45365i 0.354960 + 0.204936i
\(285\) 3.95421 + 0.684582i 0.234227 + 0.0405512i
\(286\) 5.24796 6.55146i 0.310318 0.387396i
\(287\) −28.1907 −1.66405
\(288\) −14.3347 + 2.61948i −0.844682 + 0.154354i
\(289\) 39.3179 2.31282
\(290\) −4.15710 7.20030i −0.244113 0.422816i
\(291\) −15.5192 12.9402i −0.909750 0.758571i
\(292\) 6.44405 + 3.72048i 0.377110 + 0.217724i
\(293\) −5.15813 2.97805i −0.301341 0.173979i 0.341704 0.939808i \(-0.388996\pi\)
−0.643045 + 0.765828i \(0.722329\pi\)
\(294\) 12.8245 4.71289i 0.747941 0.274861i
\(295\) −3.72848 6.45792i −0.217081 0.375995i
\(296\) 1.65085 0.0959537
\(297\) −11.8642 + 0.110504i −0.688428 + 0.00641212i
\(298\) 10.8809 0.630315
\(299\) 7.57449 9.45586i 0.438044 0.546846i
\(300\) 0.573785 + 1.56136i 0.0331275 + 0.0901453i
\(301\) 5.49707 + 3.17374i 0.316846 + 0.182931i
\(302\) −7.15657 + 12.3955i −0.411814 + 0.713283i
\(303\) −3.36944 + 4.04096i −0.193569 + 0.232147i
\(304\) 2.32123 1.34016i 0.133132 0.0768636i
\(305\) 11.5498i 0.661342i
\(306\) 7.71700 21.6190i 0.441152 1.23588i
\(307\) 7.80536i 0.445475i 0.974878 + 0.222738i \(0.0714993\pi\)
−0.974878 + 0.222738i \(0.928501\pi\)
\(308\) 4.20915 + 7.29045i 0.239838 + 0.415412i
\(309\) 31.8973 + 5.52230i 1.81457 + 0.314152i
\(310\) −3.56382 2.05757i −0.202411 0.116862i
\(311\) 4.84636 8.39414i 0.274812 0.475988i −0.695276 0.718743i \(-0.744718\pi\)
0.970088 + 0.242755i \(0.0780511\pi\)
\(312\) −18.4730 + 3.75228i −1.04583 + 0.212431i
\(313\) 13.6176 + 23.5864i 0.769714 + 1.33318i 0.937718 + 0.347397i \(0.112934\pi\)
−0.168004 + 0.985786i \(0.553732\pi\)
\(314\) 12.7191i 0.717782i
\(315\) −8.77602 + 7.45731i −0.494473 + 0.420172i
\(316\) −11.9055 −0.669738
\(317\) 19.4508 11.2299i 1.09246 0.630734i 0.158232 0.987402i \(-0.449420\pi\)
0.934231 + 0.356668i \(0.116087\pi\)
\(318\) 9.63310 + 8.03230i 0.540198 + 0.450429i
\(319\) 16.1247 + 9.30958i 0.902808 + 0.521236i
\(320\) 6.29281 + 3.63316i 0.351779 + 0.203100i
\(321\) 3.84001 + 10.4493i 0.214328 + 0.583222i
\(322\) −6.57619 11.3903i −0.366477 0.634757i
\(323\) 17.3874i 0.967461i
\(324\) 6.68984 + 5.47332i 0.371658 + 0.304073i
\(325\) 1.30995 + 3.35917i 0.0726632 + 0.186333i
\(326\) −4.13583 7.16346i −0.229062 0.396748i
\(327\) 0.306761 0.112731i 0.0169639 0.00623407i
\(328\) 11.0831 19.1964i 0.611960 1.05995i
\(329\) −15.8100 + 27.3838i −0.871635 + 1.50972i
\(330\) 3.09706 + 2.58240i 0.170488 + 0.142157i
\(331\) 1.13312 0.654208i 0.0622820 0.0359585i −0.468536 0.883445i \(-0.655218\pi\)
0.530818 + 0.847486i \(0.321885\pi\)
\(332\) 6.44667i 0.353807i
\(333\) −1.06244 1.25032i −0.0582216 0.0685172i
\(334\) −8.62918 −0.472168
\(335\) 3.71551 + 6.43546i 0.203000 + 0.351607i
\(336\) −1.31217 + 7.57920i −0.0715847 + 0.413479i
\(337\) 12.9160 22.3712i 0.703580 1.21864i −0.263621 0.964626i \(-0.584917\pi\)
0.967201 0.254011i \(-0.0817499\pi\)
\(338\) −12.9353 + 2.89327i −0.703588 + 0.157373i
\(339\) −0.309889 0.0536503i −0.0168308 0.00291388i
\(340\) 6.24172 3.60366i 0.338505 0.195436i
\(341\) 9.21564 0.499055
\(342\) −6.67459 2.38252i −0.360921 0.128832i
\(343\) 2.82795i 0.152695i
\(344\) −4.32231 + 2.49549i −0.233043 + 0.134548i
\(345\) 4.47006 + 3.72724i 0.240660 + 0.200668i
\(346\) 23.0054 + 13.2822i 1.23678 + 0.714054i
\(347\) 8.22130 14.2397i 0.441342 0.764428i −0.556447 0.830883i \(-0.687836\pi\)
0.997789 + 0.0664556i \(0.0211691\pi\)
\(348\) −4.67881 12.7318i −0.250811 0.682496i
\(349\) −6.19279 + 3.57541i −0.331492 + 0.191387i −0.656504 0.754323i \(-0.727965\pi\)
0.325011 + 0.945710i \(0.394632\pi\)
\(350\) 3.91412 0.209218
\(351\) 14.7306 + 11.5762i 0.786263 + 0.617892i
\(352\) −11.0911 −0.591158
\(353\) −23.2529 + 13.4251i −1.23763 + 0.714544i −0.968608 0.248591i \(-0.920032\pi\)
−0.269018 + 0.963135i \(0.586699\pi\)
\(354\) 4.54250 + 12.3609i 0.241431 + 0.656973i
\(355\) −3.59606 + 6.22857i −0.190859 + 0.330578i
\(356\) −5.37806 3.10502i −0.285036 0.164566i
\(357\) 38.3235 + 31.9550i 2.02829 + 1.69124i
\(358\) 17.0816 9.86206i 0.902790 0.521226i
\(359\) 25.3831i 1.33967i 0.742512 + 0.669833i \(0.233634\pi\)
−0.742512 + 0.669833i \(0.766366\pi\)
\(360\) −1.62779 8.90784i −0.0857919 0.469484i
\(361\) 13.6319 0.717467
\(362\) 7.95560 4.59317i 0.418137 0.241412i
\(363\) 9.87523 + 1.70967i 0.518315 + 0.0897346i
\(364\) 2.00979 13.1401i 0.105342 0.688731i
\(365\) −3.87390 + 6.70979i −0.202769 + 0.351206i
\(366\) −3.47956 + 20.0982i −0.181879 + 1.05055i
\(367\) 2.75102 + 4.76491i 0.143602 + 0.248726i 0.928851 0.370455i \(-0.120798\pi\)
−0.785248 + 0.619181i \(0.787465\pi\)
\(368\) 3.88729 0.202639
\(369\) −21.6718 + 3.96023i −1.12819 + 0.206161i
\(370\) 0.557645i 0.0289906i
\(371\) −23.6113 + 13.6320i −1.22584 + 0.707738i
\(372\) −5.15637 4.29950i −0.267345 0.222919i
\(373\) −11.5270 + 19.9654i −0.596847 + 1.03377i 0.396436 + 0.918062i \(0.370247\pi\)
−0.993283 + 0.115708i \(0.963086\pi\)
\(374\) 8.73577 15.1308i 0.451716 0.782395i
\(375\) −1.62575 + 0.597446i −0.0839533 + 0.0308520i
\(376\) −12.4313 21.5317i −0.641096 1.11041i
\(377\) −10.6817 27.3916i −0.550138 1.41074i
\(378\) 17.5180 10.3328i 0.901031 0.531461i
\(379\) 13.1674i 0.676363i −0.941081 0.338181i \(-0.890188\pi\)
0.941081 0.338181i \(-0.109812\pi\)
\(380\) −1.11258 1.92705i −0.0570743 0.0988555i
\(381\) −5.48744 14.9322i −0.281130 0.765001i
\(382\) −1.01652 0.586886i −0.0520095 0.0300277i
\(383\) −31.5880 18.2373i −1.61407 0.931884i −0.988414 0.151785i \(-0.951498\pi\)
−0.625656 0.780099i \(-0.715169\pi\)
\(384\) 3.06752 + 2.55777i 0.156539 + 0.130526i
\(385\) −7.59109 + 4.38272i −0.386878 + 0.223364i
\(386\) −17.4207 −0.886692
\(387\) 4.67176 + 1.66760i 0.237479 + 0.0847691i
\(388\) 11.2041i 0.568802i
\(389\) −9.44003 16.3506i −0.478629 0.829009i 0.521071 0.853513i \(-0.325533\pi\)
−0.999700 + 0.0245043i \(0.992199\pi\)
\(390\) −1.26749 6.24003i −0.0641820 0.315976i
\(391\) 12.6085 21.8386i 0.637640 1.10443i
\(392\) −20.2241 11.6764i −1.02147 0.589746i
\(393\) −2.28317 0.395279i −0.115170 0.0199392i
\(394\) 11.8949 + 20.6026i 0.599257 + 1.03794i
\(395\) 12.3965i 0.623734i
\(396\) 4.25997 + 5.01329i 0.214072 + 0.251927i
\(397\) 24.1425i 1.21168i −0.795587 0.605840i \(-0.792837\pi\)
0.795587 0.605840i \(-0.207163\pi\)
\(398\) 19.8093 11.4369i 0.992951 0.573280i
\(399\) 9.86569 11.8319i 0.493902 0.592335i
\(400\) −0.578424 + 1.00186i −0.0289212 + 0.0500930i
\(401\) 16.9146 + 9.76567i 0.844676 + 0.487674i 0.858851 0.512225i \(-0.171179\pi\)
−0.0141747 + 0.999900i \(0.504512\pi\)
\(402\) −4.52670 12.3179i −0.225771 0.614360i
\(403\) −11.3575 9.09775i −0.565756 0.453191i
\(404\) 2.91738 0.145145
\(405\) −5.69903 + 6.96571i −0.283187 + 0.346129i
\(406\) −31.9168 −1.58401
\(407\) −0.624407 1.08150i −0.0309507 0.0536082i
\(408\) −36.8265 + 13.5334i −1.82318 + 0.670002i
\(409\) 20.9244 + 12.0807i 1.03465 + 0.597354i 0.918313 0.395856i \(-0.129552\pi\)
0.116335 + 0.993210i \(0.462885\pi\)
\(410\) 6.48442 + 3.74378i 0.320243 + 0.184892i
\(411\) −0.596336 0.497239i −0.0294151 0.0245270i
\(412\) −8.97483 15.5449i −0.442158 0.765840i
\(413\) −28.6261 −1.40860
\(414\) −6.65560 7.83255i −0.327105 0.384949i
\(415\) −6.71251 −0.329504
\(416\) 13.6688 + 10.9492i 0.670169 + 0.536830i
\(417\) −33.7818 5.84856i −1.65430 0.286405i
\(418\) −4.67143 2.69705i −0.228487 0.131917i
\(419\) 1.42009 2.45966i 0.0693758 0.120162i −0.829251 0.558876i \(-0.811233\pi\)
0.898627 + 0.438714i \(0.144566\pi\)
\(420\) 6.29213 + 1.08934i 0.307025 + 0.0531544i
\(421\) −27.4313 + 15.8375i −1.33692 + 0.771872i −0.986350 0.164664i \(-0.947346\pi\)
−0.350571 + 0.936536i \(0.614013\pi\)
\(422\) 2.90947i 0.141631i
\(423\) −8.30720 + 23.2725i −0.403910 + 1.13155i
\(424\) 21.4375i 1.04110i
\(425\) 3.75226 + 6.49911i 0.182011 + 0.315253i
\(426\) 8.13406 9.75515i 0.394097 0.472638i
\(427\) −38.3978 22.1690i −1.85820 1.07283i
\(428\) 3.08641 5.34581i 0.149187 0.258400i
\(429\) 9.44529 + 10.6828i 0.456023 + 0.515769i
\(430\) −0.842957 1.46004i −0.0406510 0.0704096i
\(431\) 21.7562i 1.04796i 0.851731 + 0.523979i \(0.175553\pi\)
−0.851731 + 0.523979i \(0.824447\pi\)
\(432\) 0.0559863 + 6.01089i 0.00269364 + 0.289199i
\(433\) 25.9173 1.24551 0.622753 0.782419i \(-0.286014\pi\)
0.622753 + 0.782419i \(0.286014\pi\)
\(434\) −13.6809 + 7.89869i −0.656706 + 0.379149i
\(435\) 13.2568 4.87175i 0.635616 0.233583i
\(436\) −0.156938 0.0906080i −0.00751595 0.00433934i
\(437\) −6.74238 3.89272i −0.322532 0.186214i
\(438\) 8.76251 10.5088i 0.418689 0.502132i
\(439\) −12.0337 20.8429i −0.574336 0.994778i −0.996113 0.0880792i \(-0.971927\pi\)
0.421778 0.906699i \(-0.361406\pi\)
\(440\) 6.89220i 0.328573i
\(441\) 4.17222 + 22.8319i 0.198677 + 1.08723i
\(442\) −25.7033 + 10.0234i −1.22258 + 0.476763i
\(443\) 9.26668 + 16.0504i 0.440273 + 0.762575i 0.997710 0.0676443i \(-0.0215483\pi\)
−0.557436 + 0.830220i \(0.688215\pi\)
\(444\) −0.155199 + 0.896441i −0.00736540 + 0.0425432i
\(445\) 3.23306 5.59983i 0.153262 0.265457i
\(446\) −4.56319 + 7.90368i −0.216073 + 0.374250i
\(447\) −3.15316 + 18.2129i −0.149139 + 0.861441i
\(448\) 24.1571 13.9471i 1.14131 0.658938i
\(449\) 22.1356i 1.04465i −0.852748 0.522323i \(-0.825066\pi\)
0.852748 0.522323i \(-0.174934\pi\)
\(450\) 3.00900 0.549854i 0.141846 0.0259204i
\(451\) −16.7680 −0.789573
\(452\) 0.0871924 + 0.151022i 0.00410118 + 0.00710346i
\(453\) −18.6743 15.5710i −0.877393 0.731590i
\(454\) −6.14953 + 10.6513i −0.288612 + 0.499890i
\(455\) 13.6820 + 2.09267i 0.641423 + 0.0981058i
\(456\) 4.17825 + 11.3697i 0.195665 + 0.532435i
\(457\) −17.3428 + 10.0128i −0.811260 + 0.468381i −0.847393 0.530966i \(-0.821829\pi\)
0.0361334 + 0.999347i \(0.488496\pi\)
\(458\) −22.4269 −1.04794
\(459\) 33.9505 + 19.1820i 1.58467 + 0.895337i
\(460\) 3.22717i 0.150467i
\(461\) 4.75751 2.74675i 0.221580 0.127929i −0.385102 0.922874i \(-0.625834\pi\)
0.606681 + 0.794945i \(0.292500\pi\)
\(462\) 14.5298 5.33957i 0.675989 0.248419i
\(463\) −29.8153 17.2139i −1.38563 0.799996i −0.392814 0.919618i \(-0.628498\pi\)
−0.992820 + 0.119622i \(0.961832\pi\)
\(464\) 4.71663 8.16945i 0.218964 0.379257i
\(465\) 4.47680 5.36901i 0.207607 0.248982i
\(466\) −16.4793 + 9.51431i −0.763388 + 0.440742i
\(467\) 15.2175 0.704182 0.352091 0.935966i \(-0.385471\pi\)
0.352091 + 0.935966i \(0.385471\pi\)
\(468\) −0.300885 10.3839i −0.0139084 0.479997i
\(469\) 28.5265 1.31723
\(470\) 7.27323 4.19920i 0.335489 0.193695i
\(471\) −21.2898 3.68585i −0.980981 0.169835i
\(472\) 11.2542 19.4929i 0.518018 0.897233i
\(473\) 3.26968 + 1.88775i 0.150340 + 0.0867990i
\(474\) −3.73461 + 21.5715i −0.171536 + 0.990810i
\(475\) 2.00651 1.15846i 0.0920652 0.0531539i
\(476\) 27.6677i 1.26815i
\(477\) −16.2363 + 13.7966i −0.743411 + 0.631703i
\(478\) 0.164735 0.00753480
\(479\) 34.7928 20.0877i 1.58973 0.917828i 0.596374 0.802707i \(-0.296608\pi\)
0.993351 0.115122i \(-0.0367258\pi\)
\(480\) −5.38787 + 6.46164i −0.245921 + 0.294932i
\(481\) −0.298143 + 1.94928i −0.0135942 + 0.0888795i
\(482\) 0.859137 1.48807i 0.0391326 0.0677797i
\(483\) 20.9712 7.70672i 0.954224 0.350668i
\(484\) −2.77856 4.81261i −0.126298 0.218755i
\(485\) −11.6661 −0.529731
\(486\) 12.0156 10.4043i 0.545037 0.471950i
\(487\) 31.1250i 1.41041i −0.709005 0.705203i \(-0.750856\pi\)
0.709005 0.705203i \(-0.249144\pi\)
\(488\) 30.1919 17.4313i 1.36672 0.789078i
\(489\) 13.1890 4.84683i 0.596427 0.219181i
\(490\) 3.94419 6.83154i 0.178180 0.308617i
\(491\) −9.68601 + 16.7767i −0.437124 + 0.757120i −0.997466 0.0711405i \(-0.977336\pi\)
0.560343 + 0.828261i \(0.310669\pi\)
\(492\) 9.38208 + 7.82299i 0.422977 + 0.352688i
\(493\) −30.5970 52.9956i −1.37802 2.38680i
\(494\) 3.09458 + 7.93556i 0.139232 + 0.357038i
\(495\) −5.22002 + 4.43564i −0.234622 + 0.199367i
\(496\) 4.66904i 0.209646i
\(497\) 13.8047 + 23.9105i 0.619226 + 1.07253i
\(498\) 11.6806 + 2.02224i 0.523422 + 0.0906187i
\(499\) 14.5593 + 8.40584i 0.651766 + 0.376297i 0.789132 0.614223i \(-0.210531\pi\)
−0.137367 + 0.990520i \(0.543864\pi\)
\(500\) 0.831727 + 0.480198i 0.0371960 + 0.0214751i
\(501\) 2.50063 14.4439i 0.111720 0.645304i
\(502\) −14.4291 + 8.33066i −0.644004 + 0.371816i
\(503\) 7.16252 0.319361 0.159681 0.987169i \(-0.448954\pi\)
0.159681 + 0.987169i \(0.448954\pi\)
\(504\) −32.7388 11.6862i −1.45830 0.520547i
\(505\) 3.03768i 0.135175i
\(506\) −3.91155 6.77500i −0.173890 0.301186i
\(507\) −1.09438 22.4900i −0.0486030 0.998818i
\(508\) −4.41054 + 7.63927i −0.195686 + 0.338938i
\(509\) −19.7416 11.3978i −0.875033 0.505201i −0.00601565 0.999982i \(-0.501915\pi\)
−0.869018 + 0.494781i \(0.835248\pi\)
\(510\) −4.57147 12.4397i −0.202428 0.550840i
\(511\) 14.8713 + 25.7578i 0.657866 + 1.13946i
\(512\) 12.6030i 0.556979i
\(513\) 5.92218 10.4818i 0.261470 0.462781i
\(514\) 0.123795i 0.00546036i
\(515\) 16.1859 9.34492i 0.713235 0.411786i
\(516\) −0.948747 2.58170i −0.0417663 0.113653i
\(517\) −9.40388 + 16.2880i −0.413582 + 0.716345i
\(518\) 1.85391 + 1.07035i 0.0814560 + 0.0470287i
\(519\) −28.8989 + 34.6583i −1.26852 + 1.52133i
\(520\) −6.80403 + 8.49403i −0.298377 + 0.372488i
\(521\) −38.1592 −1.67179 −0.835893 0.548892i \(-0.815050\pi\)
−0.835893 + 0.548892i \(0.815050\pi\)
\(522\) −24.5363 + 4.48367i −1.07392 + 0.196245i
\(523\) −3.45918 −0.151259 −0.0756297 0.997136i \(-0.524097\pi\)
−0.0756297 + 0.997136i \(0.524097\pi\)
\(524\) 0.642407 + 1.11268i 0.0280637 + 0.0486077i
\(525\) −1.13426 + 6.55160i −0.0495033 + 0.285935i
\(526\) 6.56397 + 3.78971i 0.286203 + 0.165239i
\(527\) −26.2304 15.1441i −1.14261 0.659689i
\(528\) −0.780484 + 4.50814i −0.0339662 + 0.196192i
\(529\) 5.85438 + 10.1401i 0.254538 + 0.440873i
\(530\) 7.24142 0.314547
\(531\) −22.0065 + 4.02139i −0.955000 + 0.174513i
\(532\) −8.54204 −0.370345
\(533\) 20.6651 + 16.5535i 0.895103 + 0.717010i
\(534\) −7.31298 + 8.77042i −0.316464 + 0.379533i
\(535\) 5.56626 + 3.21368i 0.240650 + 0.138940i
\(536\) −11.2151 + 19.4251i −0.484418 + 0.839037i
\(537\) 11.5575 + 31.4497i 0.498742 + 1.35716i
\(538\) −9.88893 + 5.70937i −0.426342 + 0.246149i
\(539\) 17.6656i 0.760910i
\(540\) 4.99015 0.0464789i 0.214742 0.00200014i
\(541\) 39.9806i 1.71890i 0.511218 + 0.859451i \(0.329194\pi\)
−0.511218 + 0.859451i \(0.670806\pi\)
\(542\) 7.77829 + 13.4724i 0.334106 + 0.578689i
\(543\) 5.38279 + 14.6474i 0.230998 + 0.628582i
\(544\) 31.5685 + 18.2261i 1.35349 + 0.781438i
\(545\) 0.0943444 0.163409i 0.00404127 0.00699969i
\(546\) −23.1780 7.76342i −0.991928 0.332244i
\(547\) 5.20013 + 9.00689i 0.222341 + 0.385107i 0.955519 0.294931i \(-0.0952967\pi\)
−0.733177 + 0.680038i \(0.761963\pi\)
\(548\) 0.430526i 0.0183911i
\(549\) −32.6329 11.6484i −1.39274 0.497143i
\(550\) 2.32813 0.0992719
\(551\) −16.3617 + 9.44643i −0.697032 + 0.402432i
\(552\) −2.99688 + 17.3102i −0.127555 + 0.736772i
\(553\) −41.2124 23.7940i −1.75253 1.01182i
\(554\) 4.19288 + 2.42076i 0.178138 + 0.102848i
\(555\) −0.933408 0.161599i −0.0396210 0.00685948i
\(556\) 9.50508 + 16.4633i 0.403105 + 0.698198i
\(557\) 27.0548i 1.14635i 0.819433 + 0.573175i \(0.194288\pi\)
−0.819433 + 0.573175i \(0.805712\pi\)
\(558\) −9.40770 + 7.99407i −0.398260 + 0.338416i
\(559\) −2.16599 5.55435i −0.0916118 0.234924i
\(560\) 2.22047 + 3.84597i 0.0938322 + 0.162522i
\(561\) 22.7950 + 19.0070i 0.962405 + 0.802476i
\(562\) 6.95439 12.0454i 0.293353 0.508103i
\(563\) 6.78259 11.7478i 0.285852 0.495110i −0.686963 0.726692i \(-0.741057\pi\)
0.972815 + 0.231582i \(0.0743901\pi\)
\(564\) 12.8608 4.72620i 0.541536 0.199009i
\(565\) −0.157249 + 0.0907879i −0.00661553 + 0.00381948i
\(566\) 7.96311i 0.334714i
\(567\) 12.2189 + 32.3167i 0.513145 + 1.35717i
\(568\) −21.7091 −0.910892
\(569\) 4.61124 + 7.98690i 0.193313 + 0.334828i 0.946346 0.323154i \(-0.104743\pi\)
−0.753033 + 0.657983i \(0.771410\pi\)
\(570\) −3.84060 + 1.41138i −0.160865 + 0.0591163i
\(571\) 5.96082 10.3244i 0.249453 0.432064i −0.713922 0.700226i \(-0.753083\pi\)
0.963374 + 0.268161i \(0.0864160\pi\)
\(572\) 1.19543 7.81582i 0.0499836 0.326796i
\(573\) 1.27693 1.53141i 0.0533444 0.0639757i
\(574\) 24.8926 14.3718i 1.03900 0.599866i
\(575\) 3.36025 0.140132
\(576\) 16.6116 14.1155i 0.692151 0.588146i
\(577\) 34.5550i 1.43854i 0.694730 + 0.719271i \(0.255524\pi\)
−0.694730 + 0.719271i \(0.744476\pi\)
\(578\) −34.7180 + 20.0444i −1.44408 + 0.833739i
\(579\) 5.04831 29.1595i 0.209801 1.21183i
\(580\) −6.78215 3.91567i −0.281613 0.162589i
\(581\) −12.8841 + 22.3159i −0.534523 + 0.925821i
\(582\) 20.3006 + 3.51459i 0.841485 + 0.145684i
\(583\) −14.0441 + 8.10837i −0.581648 + 0.335815i
\(584\) −23.3863 −0.967733
\(585\) 10.8121 0.313293i 0.447026 0.0129531i
\(586\) 6.07289 0.250869
\(587\) 22.8226 13.1766i 0.941990 0.543858i 0.0514064 0.998678i \(-0.483630\pi\)
0.890584 + 0.454820i \(0.150296\pi\)
\(588\) 8.24177 9.88432i 0.339885 0.407622i
\(589\) −4.67555 + 8.09830i −0.192653 + 0.333685i
\(590\) 6.58456 + 3.80160i 0.271082 + 0.156509i
\(591\) −37.9324 + 13.9398i −1.56033 + 0.573406i
\(592\) −0.547937 + 0.316351i −0.0225201 + 0.0130020i
\(593\) 24.2830i 0.997183i 0.866837 + 0.498592i \(0.166149\pi\)
−0.866837 + 0.498592i \(0.833851\pi\)
\(594\) 10.4198 6.14598i 0.427530 0.252173i
\(595\) 28.8086 1.18104
\(596\) 8.87590 5.12450i 0.363571 0.209908i
\(597\) 13.4031 + 36.4719i 0.548550 + 1.49269i
\(598\) −1.86769 + 12.2111i −0.0763757 + 0.499350i
\(599\) −8.31375 + 14.3998i −0.339691 + 0.588362i −0.984374 0.176088i \(-0.943656\pi\)
0.644684 + 0.764449i \(0.276989\pi\)
\(600\) −4.01538 3.34811i −0.163927 0.136686i
\(601\) 4.96659 + 8.60238i 0.202591 + 0.350898i 0.949363 0.314182i \(-0.101730\pi\)
−0.746771 + 0.665081i \(0.768397\pi\)
\(602\) −6.47195 −0.263777
\(603\) 21.9299 4.00740i 0.893056 0.163194i
\(604\) 13.4819i 0.548571i
\(605\) 5.01106 2.89314i 0.203729 0.117623i
\(606\) 0.915145 5.28596i 0.0371752 0.214727i
\(607\) −14.1047 + 24.4300i −0.572492 + 0.991585i 0.423817 + 0.905748i \(0.360690\pi\)
−0.996309 + 0.0858373i \(0.972643\pi\)
\(608\) 5.62707 9.74637i 0.228208 0.395268i
\(609\) 9.24910 53.4236i 0.374793 2.16483i
\(610\) 5.88817 + 10.1986i 0.238405 + 0.412929i
\(611\) 27.6691 10.7899i 1.11937 0.436514i
\(612\) −3.88675 21.2697i −0.157113 0.859778i
\(613\) 12.3008i 0.496826i −0.968654 0.248413i \(-0.920091\pi\)
0.968654 0.248413i \(-0.0799090\pi\)
\(614\) −3.97921 6.89219i −0.160588 0.278146i
\(615\) −8.14559 + 9.76897i −0.328462 + 0.393923i
\(616\) −22.9133 13.2290i −0.923204 0.533012i
\(617\) −0.597139 0.344759i −0.0240399 0.0138795i 0.487932 0.872882i \(-0.337751\pi\)
−0.511972 + 0.859002i \(0.671085\pi\)
\(618\) −30.9808 + 11.3851i −1.24623 + 0.457978i
\(619\) 1.92390 1.11076i 0.0773280 0.0446454i −0.460837 0.887485i \(-0.652451\pi\)
0.538165 + 0.842839i \(0.319118\pi\)
\(620\) −3.87616 −0.155670
\(621\) 15.0391 8.87063i 0.603500 0.355966i
\(622\) 9.88279i 0.396264i
\(623\) −12.4112 21.4968i −0.497244 0.861253i
\(624\) 5.41235 4.78539i 0.216668 0.191569i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −24.0489 13.8847i −0.961189 0.554943i
\(627\) 5.86816 7.03766i 0.234352 0.281057i
\(628\) 5.99024 + 10.3754i 0.239036 + 0.414023i
\(629\) 4.10437i 0.163652i
\(630\) 3.94753 11.0589i 0.157273 0.440598i
\(631\) 31.5030i 1.25412i 0.778973 + 0.627058i \(0.215741\pi\)
−0.778973 + 0.627058i \(0.784259\pi\)
\(632\) 32.4050 18.7090i 1.28900 0.744206i
\(633\) 4.86998 + 0.843128i 0.193564 + 0.0335113i
\(634\) −11.4501 + 19.8322i −0.454742 + 0.787637i
\(635\) −7.95429 4.59241i −0.315657 0.182244i
\(636\) 11.6409 + 2.01537i 0.461593 + 0.0799145i
\(637\) 17.4396 21.7713i 0.690982 0.862610i
\(638\) −18.9843 −0.751595
\(639\) 13.9714 + 16.4420i 0.552700 + 0.650437i
\(640\) 2.30593 0.0911498
\(641\) −23.6797 41.0145i −0.935294 1.61998i −0.774109 0.633052i \(-0.781802\pi\)
−0.161184 0.986924i \(-0.551531\pi\)
\(642\) −8.71785 7.26914i −0.344066 0.286890i
\(643\) 16.4867 + 9.51859i 0.650171 + 0.375377i 0.788522 0.615007i \(-0.210847\pi\)
−0.138350 + 0.990383i \(0.544180\pi\)
\(644\) −10.7288 6.19428i −0.422774 0.244089i
\(645\) 2.68816 0.987871i 0.105846 0.0388974i
\(646\) 8.86419 + 15.3532i 0.348757 + 0.604064i
\(647\) 31.9873 1.25755 0.628774 0.777588i \(-0.283557\pi\)
0.628774 + 0.777588i \(0.283557\pi\)
\(648\) −26.8098 4.38474i −1.05319 0.172249i
\(649\) −17.0269 −0.668365
\(650\) −2.86922 2.29835i −0.112540 0.0901488i
\(651\) −9.25657 25.1886i −0.362794 0.987220i
\(652\) −6.74745 3.89564i −0.264250 0.152565i
\(653\) −6.18188 + 10.7073i −0.241916 + 0.419010i −0.961260 0.275644i \(-0.911109\pi\)
0.719344 + 0.694654i \(0.244442\pi\)
\(654\) −0.213401 + 0.255931i −0.00834464 + 0.0100077i
\(655\) −1.15857 + 0.668898i −0.0452689 + 0.0261360i
\(656\) 8.49538i 0.331689i
\(657\) 15.0508 + 17.7124i 0.587189 + 0.691025i
\(658\) 32.2401i 1.25685i
\(659\) −1.24479 2.15604i −0.0484901 0.0839874i 0.840762 0.541406i \(-0.182108\pi\)
−0.889252 + 0.457418i \(0.848774\pi\)
\(660\) 3.74259 + 0.647945i 0.145680 + 0.0252212i
\(661\) −0.890000 0.513842i −0.0346170 0.0199861i 0.482592 0.875845i \(-0.339696\pi\)
−0.517209 + 0.855859i \(0.673029\pi\)
\(662\) −0.667037 + 1.15534i −0.0259251 + 0.0449036i
\(663\) −9.32899 45.9278i −0.362308 1.78369i
\(664\) −10.1307 17.5469i −0.393147 0.680950i
\(665\) 8.89429i 0.344906i
\(666\) 1.57557 + 0.562405i 0.0610520 + 0.0217928i
\(667\) −27.4004 −1.06095
\(668\) −7.03909 + 4.06402i −0.272351 + 0.157242i
\(669\) −11.9071 9.92844i −0.460356 0.383856i
\(670\) −6.56166 3.78837i −0.253499 0.146358i
\(671\) −22.8392 13.1862i −0.881697 0.509048i
\(672\) 11.1404 + 30.3147i 0.429749 + 1.16942i
\(673\) −2.59568 4.49585i −0.100056 0.173302i 0.811651 0.584142i \(-0.198569\pi\)
−0.911708 + 0.410840i \(0.865236\pi\)
\(674\) 26.3386i 1.01452i
\(675\) 0.0483956 + 5.19593i 0.00186275 + 0.199991i
\(676\) −9.18911 + 8.45217i −0.353427 + 0.325084i
\(677\) −9.95304 17.2392i −0.382526 0.662555i 0.608896 0.793250i \(-0.291613\pi\)
−0.991423 + 0.130695i \(0.958279\pi\)
\(678\) 0.300985 0.110609i 0.0115593 0.00424792i
\(679\) −22.3922 + 38.7844i −0.859332 + 1.48841i
\(680\) −11.3260 + 19.6172i −0.434333 + 0.752286i
\(681\) −16.0465 13.3799i −0.614903 0.512720i
\(682\) −8.13748 + 4.69818i −0.311600 + 0.179902i
\(683\) 9.73809i 0.372618i −0.982491 0.186309i \(-0.940348\pi\)
0.982491 0.186309i \(-0.0596525\pi\)
\(684\) −6.56675 + 1.19998i −0.251086 + 0.0458826i
\(685\) −0.448279 −0.0171279
\(686\) −1.44170 2.49710i −0.0550445 0.0953398i
\(687\) 6.49905 37.5391i 0.247954 1.43221i
\(688\) 0.956417 1.65656i 0.0364631 0.0631559i
\(689\) 25.3128 + 3.87160i 0.964341 + 0.147496i
\(690\) −5.84726 1.01232i −0.222601 0.0385385i
\(691\) 22.4051 12.9356i 0.852331 0.492093i −0.00910599 0.999959i \(-0.502899\pi\)
0.861437 + 0.507865i \(0.169565\pi\)
\(692\) 25.0216 0.951180
\(693\) 4.72702 + 25.8680i 0.179565 + 0.982642i
\(694\) 16.7650i 0.636392i
\(695\) −17.1422 + 9.89704i −0.650240 + 0.375416i
\(696\) 32.7425 + 27.3015i 1.24110 + 1.03486i
\(697\) 47.7266 + 27.5550i 1.80777 + 1.04372i
\(698\) 3.64552 6.31423i 0.137985 0.238997i
\(699\) −11.1499 30.3408i −0.421729 1.14759i
\(700\) 3.19287 1.84340i 0.120679 0.0696740i
\(701\) 11.8618 0.448016 0.224008 0.974587i \(-0.428086\pi\)
0.224008 + 0.974587i \(0.428086\pi\)
\(702\) −18.9089 2.71214i −0.713669 0.102363i
\(703\) 1.26717 0.0477923
\(704\) 14.3687 8.29579i 0.541542 0.312659i
\(705\) 4.92110 + 13.3911i 0.185339 + 0.504338i
\(706\) 13.6883 23.7089i 0.515167 0.892295i
\(707\) 10.0989 + 5.83058i 0.379807 + 0.219281i
\(708\) 9.52697 + 7.94381i 0.358045 + 0.298546i
\(709\) 28.7325 16.5887i 1.07907 0.623001i 0.148425 0.988924i \(-0.452580\pi\)
0.930645 + 0.365922i \(0.119246\pi\)
\(710\) 7.33316i 0.275209i
\(711\) −35.0249 12.5023i −1.31354 0.468872i
\(712\) 19.5177 0.731456
\(713\) −11.7450 + 6.78098i −0.439854 + 0.253950i
\(714\) −50.1308 8.67902i −1.87610 0.324804i
\(715\) 8.13812 + 1.24473i 0.304348 + 0.0465502i
\(716\) 9.28932 16.0896i 0.347158 0.601296i
\(717\) −0.0477382 + 0.275740i −0.00178281 + 0.0102977i
\(718\) −12.9404 22.4134i −0.482932 0.836462i
\(719\) −9.95480 −0.371251 −0.185626 0.982621i \(-0.559431\pi\)
−0.185626 + 0.982621i \(0.559431\pi\)
\(720\) 2.24729 + 2.64469i 0.0837514 + 0.0985617i
\(721\) 71.7473i 2.67201i
\(722\) −12.0370 + 6.94959i −0.447972 + 0.258637i
\(723\) 2.24182 + 1.86928i 0.0833742 + 0.0695193i
\(724\) 4.32642 7.49358i 0.160790 0.278497i
\(725\) 4.07714 7.06182i 0.151421 0.262269i
\(726\) −9.59150 + 3.52478i −0.355974 + 0.130817i
\(727\) 10.3803 + 17.9792i 0.384983 + 0.666811i 0.991767 0.128056i \(-0.0408738\pi\)
−0.606784 + 0.794867i \(0.707541\pi\)
\(728\) 15.1789 + 38.9238i 0.562567 + 1.44261i
\(729\) 13.9332 + 23.1272i 0.516044 + 0.856562i
\(730\) 7.89973i 0.292382i
\(731\) −6.20432 10.7462i −0.229475 0.397463i
\(732\) 6.62713 + 18.0335i 0.244946 + 0.666537i
\(733\) 16.4787 + 9.51396i 0.608653 + 0.351406i 0.772438 0.635090i \(-0.219037\pi\)
−0.163785 + 0.986496i \(0.552370\pi\)
\(734\) −4.85834 2.80497i −0.179325 0.103533i
\(735\) 10.2919 + 8.58164i 0.379623 + 0.316538i
\(736\) 14.1352 8.16097i 0.521031 0.300817i
\(737\) 16.9677 0.625013
\(738\) 17.1174 14.5453i 0.630101 0.535420i
\(739\) 16.5319i 0.608136i 0.952650 + 0.304068i \(0.0983450\pi\)
−0.952650 + 0.304068i \(0.901655\pi\)
\(740\) 0.262630 + 0.454888i 0.00965447 + 0.0167220i
\(741\) −14.1796 + 2.88020i −0.520901 + 0.105807i
\(742\) 13.8993 24.0743i 0.510260 0.883796i
\(743\) −28.4897 16.4486i −1.04519 0.603439i −0.123889 0.992296i \(-0.539537\pi\)
−0.921298 + 0.388857i \(0.872870\pi\)
\(744\) 20.7914 + 3.59956i 0.762248 + 0.131966i
\(745\) 5.33582 + 9.24192i 0.195489 + 0.338598i
\(746\) 23.5062i 0.860622i
\(747\) −6.76981 + 18.9655i −0.247694 + 0.693911i
\(748\) 16.4569i 0.601723i
\(749\) 21.3680 12.3368i 0.780768 0.450777i
\(750\) 1.13097 1.35636i 0.0412971 0.0495274i
\(751\) 1.83181 3.17279i 0.0668437 0.115777i −0.830667 0.556770i \(-0.812040\pi\)
0.897510 + 0.440993i \(0.145374\pi\)
\(752\) 8.25220 + 4.76441i 0.300927 + 0.173740i
\(753\) −9.76280 26.5662i −0.355776 0.968125i
\(754\) 23.3965 + 18.7414i 0.852049 + 0.682523i
\(755\) −14.0379 −0.510890
\(756\) 9.42366 16.6791i 0.342735 0.606613i
\(757\) 21.2758 0.773284 0.386642 0.922230i \(-0.373635\pi\)
0.386642 + 0.922230i \(0.373635\pi\)
\(758\) 6.71279 + 11.6269i 0.243820 + 0.422308i
\(759\) 12.4738 4.58399i 0.452770 0.166388i
\(760\) 6.05656 + 3.49676i 0.219695 + 0.126841i
\(761\) 11.3826 + 6.57174i 0.412619 + 0.238226i 0.691914 0.721980i \(-0.256768\pi\)
−0.279296 + 0.960205i \(0.590101\pi\)
\(762\) 12.4580 + 10.3877i 0.451305 + 0.376308i
\(763\) −0.362173 0.627302i −0.0131115 0.0227098i
\(764\) −1.10561 −0.0399994
\(765\) 22.1468 4.04703i 0.800721 0.146321i
\(766\) 37.1899 1.34373
\(767\) 20.9842 + 16.8091i 0.757695 + 0.606942i
\(768\) −28.8149 4.98865i −1.03977 0.180012i
\(769\) −43.1583 24.9175i −1.55633 0.898547i −0.997603 0.0691942i \(-0.977957\pi\)
−0.558726 0.829353i \(-0.688709\pi\)
\(770\) 4.46866 7.73995i 0.161039 0.278928i
\(771\) −0.207213 0.0358742i −0.00746258 0.00129198i
\(772\) −14.2106 + 8.20451i −0.511452 + 0.295287i
\(773\) 18.0797i 0.650281i 0.945666 + 0.325141i \(0.105412\pi\)
−0.945666 + 0.325141i \(0.894588\pi\)
\(774\) −4.97535 + 0.909178i −0.178835 + 0.0326797i
\(775\)