Properties

Label 585.2.bt.b.376.19
Level $585$
Weight $2$
Character 585.376
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 376.19
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.19

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 0.154192 0.988041i \(-0.450723\pi\)
−0.778573 + 0.627554i \(0.784056\pi\)
\(3\) −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 −0.284151 0.958779i \(-0.591712\pi\)
−0.972403 + 0.233307i \(0.925045\pi\)
\(8\) 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 0.171332 0.985213i \(-0.445193\pi\)
−0.767554 + 0.640984i \(0.778526\pi\)
\(12\) 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 \(0.0856260\pi\)
−0.964037 + 0.265769i \(0.914374\pi\)
\(20\) 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 0.986307 0.164919i \(-0.0527362\pi\)
−0.635977 + 0.771708i \(0.719403\pi\)
\(24\) −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 0.187213 + 0.982319i \(0.440054\pi\)
−0.944320 + 0.329028i \(0.893279\pi\)
\(30\) −0.609162 + 1.65763i −0.111217 + 0.302640i
\(31\) −3.49528 + 2.01800i −0.627771 + 0.362444i −0.779888 0.625919i \(-0.784724\pi\)
0.152117 + 0.988362i \(0.451391\pi\)
\(32\) 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 \(-0.985685\pi\)
0.998989 0.0449565i \(-0.0143149\pi\)
\(38\) 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 0.0869844 0.996210i \(-0.472277\pi\)
0.906235 + 0.422774i \(0.138944\pi\)
\(42\) −6.68007 + 1.15651i −1.03076 + 0.178453i
\(43\) −0.826744 + 1.43196i −0.126077 + 0.218372i −0.922154 0.386824i \(-0.873572\pi\)
0.796076 + 0.605196i \(0.206905\pi\)
\(44\) 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 0.919977 0.391973i \(-0.128207\pi\)
0.120530 + 0.992710i \(0.461541\pi\)
\(48\) 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 −0.0167693 0.999859i \(-0.505338\pi\)
0.857519 + 0.514452i \(0.172005\pi\)
\(60\) −1.27759 + 1.06529i −0.164937 + 0.137528i
\(61\) 5.77492 10.0025i 0.739403 1.28068i −0.213362 0.976973i \(-0.568441\pi\)
0.952765 0.303710i \(-0.0982254\pi\)
\(62\) 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 −0.838629 0.544703i \(-0.816642\pi\)
0.0524124 + 0.998626i \(0.483309\pi\)
\(68\) −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 \(0.140350\pi\)
−0.904358 + 0.426774i \(0.859650\pi\)
\(72\) 5.86362 6.90052i 0.691035 0.813234i
\(73\) 7.74780i 0.906811i 0.891304 + 0.453406i \(0.149791\pi\)
−0.891304 + 0.453406i \(0.850209\pi\)
\(74\) −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 −0.272025 0.962290i \(-0.587693\pi\)
0.969380 0.245565i \(-0.0789735\pi\)
\(80\) 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 0.783875 0.620918i \(-0.213240\pi\)
−0.145793 + 0.989315i \(0.546573\pi\)
\(84\) −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 \(-0.888657\pi\)
0.939443 0.342704i \(-0.111343\pi\)
\(90\) −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 0.915784 0.401670i \(-0.131570\pi\)
0.110035 + 0.993928i \(0.464904\pi\)
\(98\) 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 −0.931643 0.363374i \(-0.881625\pi\)
0.780513 + 0.625140i \(0.214958\pi\)
\(102\) 10.1789 8.48737i 1.00786 0.840375i
\(103\) −9.34492 16.1859i −0.920783 1.59484i −0.798207 0.602383i \(-0.794218\pi\)
−0.122575 0.992459i \(-0.539115\pi\)
\(104\) 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 \(-0.997124\pi\)
0.999959 0.00903656i \(-0.00287646\pi\)
\(110\) −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 0.870264 0.492585i \(-0.163948\pi\)
−0.861724 + 0.507378i \(0.830615\pi\)
\(114\) 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 0.893766 0.448533i \(-0.148053\pi\)
−0.835324 + 0.549758i \(0.814720\pi\)
\(132\) −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 0.516492 0.856292i \(-0.327237\pi\)
−0.483324 + 0.875441i \(0.660571\pi\)
\(138\) 5.57004 + 2.04693i 0.474153 + 0.174247i
\(139\) 9.89704 + 17.1422i 0.839456 + 1.45398i 0.890350 + 0.455276i \(0.150459\pi\)
−0.0508945 + 0.998704i \(0.516207\pi\)
\(140\) −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 −0.828263 0.560339i \(-0.810671\pi\)
0.0711360 + 0.997467i \(0.477338\pi\)
\(150\) −0.301264 1.74013i −0.0245981 0.142081i
\(151\) 12.1571 + 7.01893i 0.989334 + 0.571192i 0.905075 0.425251i \(-0.139814\pi\)
0.0842590 + 0.996444i \(0.473148\pi\)
\(152\) −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 0.999997 0.00255322i \(-0.000812715\pi\)
−0.502210 + 0.864746i \(0.667479\pi\)
\(158\) −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 \(-0.897085\pi\)
0.948187 0.317713i \(-0.102915\pi\)
\(164\) −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 −0.188852 0.982005i \(-0.560477\pi\)
0.756015 + 0.654554i \(0.227143\pi\)
\(168\) 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 −0.375514 + 0.926817i \(0.622534\pi\)
−0.614890 + 0.788613i \(0.710800\pi\)
\(174\) 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 −0.844450 0.535635i \(-0.820072\pi\)
0.886098 + 0.463497i \(0.153406\pi\)
\(192\) 4.34123 11.8132i 0.313301 0.852544i
\(193\) 14.7966 8.54284i 1.06509 0.614927i 0.138251 0.990397i \(-0.455852\pi\)
0.926835 + 0.375470i \(0.122519\pi\)
\(194\) −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 \(0.312333\pi\)
−0.556006 + 0.831178i \(0.687667\pi\)
\(198\) 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 0.812727 0.582645i \(-0.197982\pi\)
−0.910949 + 0.412520i \(0.864649\pi\)
\(212\) −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 0.736562 0.676370i \(-0.236448\pi\)
−0.217472 + 0.976067i \(0.569781\pi\)
\(224\) −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 0.804868 0.593454i \(-0.202236\pi\)
−0.111513 + 0.993763i \(0.535570\pi\)
\(228\) 0.657470 + 3.79760i 0.0435420 + 0.251503i
\(229\) 19.0488 10.9978i 1.25878 0.726755i 0.285940 0.958247i \(-0.407694\pi\)
0.972837 + 0.231492i \(0.0743608\pi\)
\(230\) 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 −0.504519 0.863401i \(-0.668330\pi\)
0.495468 + 0.868626i \(0.334997\pi\)
\(240\) −1.88074 0.691154i −0.121401 0.0446138i
\(241\) −1.45945 0.842613i −0.0940114 0.0542775i 0.452257 0.891888i \(-0.350619\pi\)
−0.546269 + 0.837610i \(0.683952\pi\)
\(242\) 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 0.867913 0.496717i \(-0.165461\pi\)
−0.864126 + 0.503276i \(0.832128\pi\)
\(258\) 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 −0.957568 0.288207i \(-0.906941\pi\)
0.728379 + 0.685175i \(0.240274\pi\)
\(264\) 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 \(0.153374\pi\)
−0.886144 + 0.463410i \(0.846626\pi\)
\(272\) 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 −0.928494 0.371346i \(-0.878896\pi\)
0.785843 + 0.618427i \(0.212230\pi\)
\(278\) 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 0.104367 0.994539i \(-0.466718\pi\)
−0.809113 + 0.587654i \(0.800052\pi\)
\(282\) 14.3332 2.48148i 0.853533 0.147770i
\(283\) −3.90498 6.76362i −0.232127 0.402056i 0.726307 0.687371i \(-0.241235\pi\)
−0.958434 + 0.285315i \(0.907902\pi\)
\(284\) 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 −0.643045 0.765828i \(-0.722329\pi\)
0.341704 + 0.939808i \(0.388996\pi\)
\(294\) 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 \(-0.928501\pi\)
0.974878 0.222738i \(-0.0714993\pi\)
\(308\) 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 0.970088 0.242755i \(-0.0780511\pi\)
−0.695276 + 0.718743i \(0.744718\pi\)
\(312\) −18.4730 3.75228i −1.04583 0.212431i
\(313\) 13.6176 23.5864i 0.769714 1.33318i −0.168004 0.985786i \(-0.553732\pi\)
0.937718 0.347397i \(-0.112934\pi\)
\(314\) 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 0.934231 0.356668i \(-0.116087\pi\)
0.158232 + 0.987402i \(0.449420\pi\)
\(318\) 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 0.530818 0.847486i \(-0.321885\pi\)
−0.468536 + 0.883445i \(0.655218\pi\)
\(332\) 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 0.967201 + 0.254011i \(0.0817499\pi\)
−0.263621 + 0.964626i \(0.584917\pi\)
\(338\) −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 0.997789 0.0664556i \(-0.0211691\pi\)
−0.556447 + 0.830883i \(0.687836\pi\)
\(348\) −4.67881 + 12.7318i −0.250811 + 0.682496i
\(349\) −6.19279 3.57541i −0.331492 0.191387i 0.325011 0.945710i \(-0.394632\pi\)
−0.656504 + 0.754323i \(0.727965\pi\)
\(350\) 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 −0.269018 0.963135i \(-0.586699\pi\)
−0.968608 + 0.248591i \(0.920032\pi\)
\(354\) 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 \(-0.766366\pi\)
0.742512 0.669833i \(-0.233634\pi\)
\(360\) −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 −0.785248 0.619181i \(-0.787465\pi\)
0.928851 + 0.370455i \(0.120798\pi\)
\(368\) 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 −0.993283 0.115708i \(-0.963086\pi\)
0.396436 0.918062i \(-0.370247\pi\)
\(374\) 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 \(0.109812\pi\)
−0.941081 + 0.338181i \(0.890188\pi\)
\(380\) −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 −0.625656 + 0.780099i \(0.715169\pi\)
−0.988414 + 0.151785i \(0.951498\pi\)
\(384\) 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 −0.999700 0.0245043i \(-0.992199\pi\)
0.521071 + 0.853513i \(0.325533\pi\)
\(390\) −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 \(0.207163\pi\)
−0.795587 + 0.605840i \(0.792837\pi\)
\(398\) 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 −0.0141747 0.999900i \(-0.504512\pi\)
0.858851 + 0.512225i \(0.171179\pi\)
\(402\) −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 0.116335 0.993210i \(-0.462885\pi\)
0.918313 + 0.395856i \(0.129552\pi\)
\(410\) 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 0.898627 0.438714i \(-0.144566\pi\)
−0.829251 + 0.558876i \(0.811233\pi\)
\(420\) 6.29213 1.08934i 0.307025 0.0531544i
\(421\) −27.4313 15.8375i −1.33692 0.771872i −0.350571 0.936536i \(-0.614013\pi\)
−0.986350 + 0.164664i \(0.947346\pi\)
\(422\) 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 \(-0.824447\pi\)
0.851731 0.523979i \(-0.175553\pi\)
\(432\) 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 0.421778 + 0.906699i \(0.361406\pi\)
−0.996113 + 0.0880792i \(0.971927\pi\)
\(440\) 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 −0.557436 0.830220i \(-0.688215\pi\)
0.997710 + 0.0676443i \(0.0215483\pi\)
\(444\) −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 \(0.174934\pi\)
−0.852748 + 0.522323i \(0.825066\pi\)
\(450\) 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 0.0361334 0.999347i \(-0.488496\pi\)
−0.847393 + 0.530966i \(0.821829\pi\)
\(458\) −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 0.606681 0.794945i \(-0.292500\pi\)
−0.385102 + 0.922874i \(0.625834\pi\)
\(462\) 14.5298 + 5.33957i 0.675989 + 0.248419i
\(463\) −29.8153 + 17.2139i −1.38563 + 0.799996i −0.992820 0.119622i \(-0.961832\pi\)
−0.392814 + 0.919618i \(0.628498\pi\)
\(464\) 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 0.993351 + 0.115122i \(0.0367258\pi\)
0.596374 + 0.802707i \(0.296608\pi\)
\(480\) −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 \(0.249144\pi\)
−0.709005 + 0.705203i \(0.750856\pi\)
\(488\) 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 0.560343 0.828261i \(-0.310669\pi\)
−0.997466 + 0.0711405i \(0.977336\pi\)
\(492\) 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 −0.137367 0.990520i \(-0.543864\pi\)
0.789132 + 0.614223i \(0.210531\pi\)
\(500\) 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 −0.869018 0.494781i \(-0.835248\pi\)
−0.00601565 + 0.999982i \(0.501915\pi\)
\(510\) −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 \(-0.670806\pi\)
0.511218 0.859451i \(-0.329194\pi\)
\(542\) 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 −0.733177 0.680038i \(-0.761963\pi\)
0.955519 + 0.294931i \(0.0952967\pi\)
\(548\) 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 \(-0.805712\pi\)
0.819433 0.573175i \(-0.194288\pi\)
\(558\) −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 0.972815 0.231582i \(-0.0743901\pi\)
−0.686963 + 0.726692i \(0.741057\pi\)
\(564\) 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 −0.753033 0.657983i \(-0.771410\pi\)
0.946346 + 0.323154i \(0.104743\pi\)
\(570\) −3.84060 1.41138i −0.160865 0.0591163i
\(571\) 5.96082 + 10.3244i 0.249453 + 0.432064i 0.963374 0.268161i \(-0.0864160\pi\)
−0.713922 + 0.700226i \(0.753083\pi\)
\(572\) 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 \(-0.744476\pi\)
0.694730 0.719271i \(-0.255524\pi\)
\(578\) −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 0.890584 0.454820i \(-0.150296\pi\)
0.0514064 + 0.998678i \(0.483630\pi\)
\(588\) 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 \(-0.833851\pi\)
0.866837 0.498592i \(-0.166149\pi\)
\(594\) 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 0.644684 0.764449i \(-0.276989\pi\)
−0.984374 + 0.176088i \(0.943656\pi\)
\(600\) −4.01538 + 3.34811i −0.163927 + 0.136686i
\(601\) 4.96659 8.60238i 0.202591 0.350898i −0.746771 0.665081i \(-0.768397\pi\)
0.949363 + 0.314182i \(0.101730\pi\)
\(602\) −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 −0.996309 0.0858373i \(-0.972643\pi\)
0.423817 0.905748i \(-0.360690\pi\)
\(608\) 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 \(0.0799090\pi\)
−0.968654 + 0.248413i \(0.920091\pi\)
\(614\) −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 −0.511972 0.859002i \(-0.671085\pi\)
0.487932 + 0.872882i \(0.337751\pi\)
\(618\) −30.9808 11.3851i −1.24623 0.457978i
\(619\) 1.92390 + 1.11076i 0.0773280 + 0.0446454i 0.538165 0.842839i \(-0.319118\pi\)
−0.460837 + 0.887485i \(0.652451\pi\)
\(620\) −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 \(-0.784259\pi\)
0.778973 0.627058i \(-0.215741\pi\)
\(632\) 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 −0.161184 + 0.986924i \(0.551531\pi\)
−0.774109 + 0.633052i \(0.781802\pi\)
\(642\) −8.71785 + 7.26914i −0.344066 + 0.286890i
\(643\) 16.4867 9.51859i 0.650171 0.375377i −0.138350 0.990383i \(-0.544180\pi\)
0.788522 + 0.615007i \(0.210847\pi\)
\(644\) −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 0.719344 0.694654i \(-0.244442\pi\)
−0.961260 + 0.275644i \(0.911109\pi\)
\(654\) −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 −0.889252 0.457418i \(-0.848774\pi\)
0.840762 + 0.541406i \(0.182108\pi\)
\(660\) 3.74259 0.647945i 0.145680 0.0252212i
\(661\) −0.890000 + 0.513842i −0.0346170 + 0.0199861i −0.517209 0.855859i \(-0.673029\pi\)
0.482592 + 0.875845i \(0.339696\pi\)
\(662\) −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 −0.911708 0.410840i \(-0.865236\pi\)
0.811651 + 0.584142i \(0.198569\pi\)
\(674\) 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 −0.991423 0.130695i \(-0.958279\pi\)
0.608896 + 0.793250i \(0.291613\pi\)
\(678\) 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 \(0.0596525\pi\)
−0.982491 + 0.186309i \(0.940348\pi\)
\(684\) −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 0.861437 0.507865i \(-0.169565\pi\)
−0.00910599 + 0.999959i \(0.502899\pi\)
\(692\) 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 0.930645 0.365922i \(-0.119246\pi\)
0.148425 + 0.988924i \(0.452580\pi\)
\(710\) 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 −0.606784 0.794867i \(-0.707541\pi\)
0.991767 + 0.128056i \(0.0408738\pi\)
\(728\) 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 −0.163785 0.986496i \(-0.552370\pi\)
0.772438 + 0.635090i \(0.219037\pi\)
\(734\) −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 \(-0.901655\pi\)
0.952650 0.304068i \(-0.0983450\pi\)
\(740\) 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 −0.921298 0.388857i \(-0.872870\pi\)
−0.123889 + 0.992296i \(0.539537\pi\)
\(744\) 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 0.897510 0.440993i \(-0.145374\pi\)
−0.830667 + 0.556770i \(0.812040\pi\)
\(752\) 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 −0.279296 0.960205i \(-0.590101\pi\)
0.691914 + 0.721980i \(0.256768\pi\)
\(762\) 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 −0.558726 + 0.829353i \(0.688709\pi\)
−0.997603 + 0.0691942i \(0.977957\pi\)
\(770\) 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 \(-0.894588\pi\)
0.945666 0.325141i \(-0.105412\pi\)
\(774\) −4.97535 0.909178i −0.178835 0.0326797i