Properties

Label 483.2.r.a.412.12
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.12
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.818407 - 0.525958i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.437672 - 0.958368i) q^{4} +(0.929338 + 0.272878i) q^{5} +(-0.884929 - 0.404133i) q^{6} +(-0.0253891 + 2.64563i) q^{7} +(-0.422768 + 2.94041i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.818407 - 0.525958i) q^{2} +(0.989821 - 0.142315i) q^{3} +(-0.437672 - 0.958368i) q^{4} +(0.929338 + 0.272878i) q^{5} +(-0.884929 - 0.404133i) q^{6} +(-0.0253891 + 2.64563i) q^{7} +(-0.422768 + 2.94041i) q^{8} +(0.959493 - 0.281733i) q^{9} +(-0.617054 - 0.712119i) q^{10} +(2.79512 + 4.34930i) q^{11} +(-0.569607 - 0.886326i) q^{12} +(-0.940947 + 0.815335i) q^{13} +(1.41227 - 2.15185i) q^{14} +(0.958713 + 0.137842i) q^{15} +(0.512637 - 0.591615i) q^{16} +(-0.140636 + 0.307950i) q^{17} +(-0.933435 - 0.274081i) q^{18} +(2.62188 + 5.74111i) q^{19} +(-0.145227 - 1.01008i) q^{20} +(0.351382 + 2.62231i) q^{21} -5.02962i q^{22} +(4.07455 - 2.52943i) q^{23} +2.97065i q^{24} +(-3.41706 - 2.19601i) q^{25} +(1.19891 - 0.172377i) q^{26} +(0.909632 - 0.415415i) q^{27} +(2.54660 - 1.13359i) q^{28} +(2.59704 - 5.68673i) q^{29} +(-0.712119 - 0.617054i) q^{30} +(-6.95457 - 0.999916i) q^{31} +(4.96992 - 1.45930i) q^{32} +(3.38564 + 3.90724i) q^{33} +(0.277066 - 0.178060i) q^{34} +(-0.745530 + 2.45176i) q^{35} +(-0.689947 - 0.796241i) q^{36} +(-0.359237 - 1.22345i) q^{37} +(0.873822 - 6.07757i) q^{38} +(-0.815335 + 0.940947i) q^{39} +(-1.19527 + 2.61727i) q^{40} +(1.06330 - 3.62126i) q^{41} +(1.09165 - 2.33093i) q^{42} +(2.84823 - 0.409513i) q^{43} +(2.94488 - 4.58232i) q^{44} +0.968572 q^{45} +(-4.66502 - 0.0729377i) q^{46} +8.50072i q^{47} +(0.423224 - 0.658549i) q^{48} +(-6.99871 - 0.134341i) q^{49} +(1.64154 + 3.59446i) q^{50} +(-0.0953786 + 0.324830i) q^{51} +(1.19322 + 0.544924i) q^{52} +(6.02099 + 5.21722i) q^{53} +(-0.962940 - 0.138450i) q^{54} +(1.41079 + 4.80470i) q^{55} +(-7.76851 - 1.19314i) q^{56} +(3.41224 + 5.30954i) q^{57} +(-5.11642 + 3.28812i) q^{58} +(6.94455 - 6.01748i) q^{59} +(-0.287498 - 0.979130i) q^{60} +(-0.508508 + 3.53675i) q^{61} +(5.16576 + 4.47615i) q^{62} +(0.720999 + 2.54562i) q^{63} +(-6.33717 - 1.86076i) q^{64} +(-1.09695 + 0.500958i) q^{65} +(-0.715789 - 4.97842i) q^{66} +(3.35395 - 5.21885i) q^{67} +0.356681 q^{68} +(3.67310 - 3.08356i) q^{69} +(1.89967 - 1.61442i) q^{70} +(-5.04503 - 3.24224i) q^{71} +(0.422768 + 2.94041i) q^{72} +(1.57980 - 0.721472i) q^{73} +(-0.349481 + 1.19022i) q^{74} +(-3.69481 - 1.68736i) q^{75} +(4.35458 - 5.02545i) q^{76} +(-11.5776 + 7.28444i) q^{77} +(1.16218 - 0.341245i) q^{78} +(2.46703 - 2.13770i) q^{79} +(0.637852 - 0.409923i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-2.77484 + 2.40441i) q^{82} +(5.97398 - 1.75412i) q^{83} +(2.35935 - 1.48447i) q^{84} +(-0.214731 + 0.247813i) q^{85} +(-2.54639 - 1.16290i) q^{86} +(1.76130 - 5.99844i) q^{87} +(-13.9704 + 6.38008i) q^{88} +(1.32657 + 9.22651i) q^{89} +(-0.792686 - 0.509428i) q^{90} +(-2.13319 - 2.51010i) q^{91} +(-4.20744 - 2.79786i) q^{92} -7.02609 q^{93} +(4.47103 - 6.95705i) q^{94} +(0.869986 + 6.05089i) q^{95} +(4.71166 - 2.15174i) q^{96} +(-14.8247 - 4.35294i) q^{97} +(5.65714 + 3.79098i) q^{98} +(3.90724 + 3.38564i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.818407 0.525958i −0.578701 0.371909i 0.218304 0.975881i \(-0.429947\pi\)
−0.797005 + 0.603972i \(0.793584\pi\)
\(3\) 0.989821 0.142315i 0.571474 0.0821655i
\(4\) −0.437672 0.958368i −0.218836 0.479184i
\(5\) 0.929338 + 0.272878i 0.415613 + 0.122035i 0.482852 0.875702i \(-0.339601\pi\)
−0.0672393 + 0.997737i \(0.521419\pi\)
\(6\) −0.884929 0.404133i −0.361271 0.164987i
\(7\) −0.0253891 + 2.64563i −0.00959620 + 0.999954i
\(8\) −0.422768 + 2.94041i −0.149471 + 1.03959i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) −0.617054 0.712119i −0.195130 0.225192i
\(11\) 2.79512 + 4.34930i 0.842762 + 1.31136i 0.948438 + 0.316962i \(0.102663\pi\)
−0.105676 + 0.994401i \(0.533701\pi\)
\(12\) −0.569607 0.886326i −0.164431 0.255860i
\(13\) −0.940947 + 0.815335i −0.260972 + 0.226133i −0.775512 0.631333i \(-0.782508\pi\)
0.514540 + 0.857466i \(0.327963\pi\)
\(14\) 1.41227 2.15185i 0.377445 0.575106i
\(15\) 0.958713 + 0.137842i 0.247539 + 0.0355907i
\(16\) 0.512637 0.591615i 0.128159 0.147904i
\(17\) −0.140636 + 0.307950i −0.0341092 + 0.0746888i −0.925920 0.377720i \(-0.876708\pi\)
0.891810 + 0.452409i \(0.149435\pi\)
\(18\) −0.933435 0.274081i −0.220013 0.0646016i
\(19\) 2.62188 + 5.74111i 0.601500 + 1.31710i 0.928238 + 0.371987i \(0.121323\pi\)
−0.326738 + 0.945115i \(0.605949\pi\)
\(20\) −0.145227 1.01008i −0.0324738 0.225861i
\(21\) 0.351382 + 2.62231i 0.0766778 + 0.572236i
\(22\) 5.02962i 1.07232i
\(23\) 4.07455 2.52943i 0.849603 0.527423i
\(24\) 2.97065i 0.606381i
\(25\) −3.41706 2.19601i −0.683412 0.439202i
\(26\) 1.19891 0.172377i 0.235126 0.0338060i
\(27\) 0.909632 0.415415i 0.175059 0.0799467i
\(28\) 2.54660 1.13359i 0.481262 0.214228i
\(29\) 2.59704 5.68673i 0.482259 1.05600i −0.499578 0.866269i \(-0.666511\pi\)
0.981836 0.189730i \(-0.0607612\pi\)
\(30\) −0.712119 0.617054i −0.130014 0.112658i
\(31\) −6.95457 0.999916i −1.24908 0.179590i −0.514129 0.857713i \(-0.671885\pi\)
−0.734949 + 0.678123i \(0.762794\pi\)
\(32\) 4.96992 1.45930i 0.878567 0.257970i
\(33\) 3.38564 + 3.90724i 0.589365 + 0.680163i
\(34\) 0.277066 0.178060i 0.0475164 0.0305370i
\(35\) −0.745530 + 2.45176i −0.126018 + 0.414422i
\(36\) −0.689947 0.796241i −0.114991 0.132707i
\(37\) −0.359237 1.22345i −0.0590582 0.201134i 0.924679 0.380748i \(-0.124333\pi\)
−0.983737 + 0.179614i \(0.942515\pi\)
\(38\) 0.873822 6.07757i 0.141753 0.985912i
\(39\) −0.815335 + 0.940947i −0.130558 + 0.150672i
\(40\) −1.19527 + 2.61727i −0.188989 + 0.413827i
\(41\) 1.06330 3.62126i 0.166059 0.565545i −0.833849 0.551992i \(-0.813868\pi\)
0.999908 0.0135527i \(-0.00431410\pi\)
\(42\) 1.09165 2.33093i 0.168446 0.359671i
\(43\) 2.84823 0.409513i 0.434350 0.0624501i 0.0783281 0.996928i \(-0.475042\pi\)
0.356022 + 0.934477i \(0.384133\pi\)
\(44\) 2.94488 4.58232i 0.443957 0.690811i
\(45\) 0.968572 0.144386
\(46\) −4.66502 0.0729377i −0.687819 0.0107541i
\(47\) 8.50072i 1.23996i 0.784618 + 0.619979i \(0.212859\pi\)
−0.784618 + 0.619979i \(0.787141\pi\)
\(48\) 0.423224 0.658549i 0.0610871 0.0950534i
\(49\) −6.99871 0.134341i −0.999816 0.0191915i
\(50\) 1.64154 + 3.59446i 0.232148 + 0.508334i
\(51\) −0.0953786 + 0.324830i −0.0133557 + 0.0454853i
\(52\) 1.19322 + 0.544924i 0.165470 + 0.0755674i
\(53\) 6.02099 + 5.21722i 0.827046 + 0.716640i 0.961656 0.274259i \(-0.0884325\pi\)
−0.134610 + 0.990899i \(0.542978\pi\)
\(54\) −0.962940 0.138450i −0.131040 0.0188406i
\(55\) 1.41079 + 4.80470i 0.190230 + 0.647865i
\(56\) −7.76851 1.19314i −1.03811 0.159440i
\(57\) 3.41224 + 5.30954i 0.451962 + 0.703266i
\(58\) −5.11642 + 3.28812i −0.671819 + 0.431752i
\(59\) 6.94455 6.01748i 0.904103 0.783410i −0.0727435 0.997351i \(-0.523175\pi\)
0.976847 + 0.213941i \(0.0686300\pi\)
\(60\) −0.287498 0.979130i −0.0371159 0.126405i
\(61\) −0.508508 + 3.53675i −0.0651078 + 0.452835i 0.931024 + 0.364959i \(0.118917\pi\)
−0.996131 + 0.0878758i \(0.971992\pi\)
\(62\) 5.16576 + 4.47615i 0.656052 + 0.568472i
\(63\) 0.720999 + 2.54562i 0.0908374 + 0.320717i
\(64\) −6.33717 1.86076i −0.792146 0.232595i
\(65\) −1.09695 + 0.500958i −0.136059 + 0.0621362i
\(66\) −0.715789 4.97842i −0.0881075 0.612801i
\(67\) 3.35395 5.21885i 0.409750 0.637584i −0.573636 0.819110i \(-0.694468\pi\)
0.983386 + 0.181527i \(0.0581039\pi\)
\(68\) 0.356681 0.0432540
\(69\) 3.67310 3.08356i 0.442190 0.371217i
\(70\) 1.89967 1.61442i 0.227054 0.192960i
\(71\) −5.04503 3.24224i −0.598734 0.384783i 0.205883 0.978577i \(-0.433993\pi\)
−0.804618 + 0.593793i \(0.797630\pi\)
\(72\) 0.422768 + 2.94041i 0.0498236 + 0.346531i
\(73\) 1.57980 0.721472i 0.184902 0.0844420i −0.320813 0.947143i \(-0.603956\pi\)
0.505715 + 0.862701i \(0.331229\pi\)
\(74\) −0.349481 + 1.19022i −0.0406264 + 0.138361i
\(75\) −3.69481 1.68736i −0.426639 0.194840i
\(76\) 4.35458 5.02545i 0.499504 0.576459i
\(77\) −11.5776 + 7.28444i −1.31939 + 0.830139i
\(78\) 1.16218 0.341245i 0.131590 0.0386384i
\(79\) 2.46703 2.13770i 0.277563 0.240510i −0.504943 0.863153i \(-0.668487\pi\)
0.782506 + 0.622643i \(0.213941\pi\)
\(80\) 0.637852 0.409923i 0.0713140 0.0458308i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) −2.77484 + 2.40441i −0.306430 + 0.265523i
\(83\) 5.97398 1.75412i 0.655729 0.192539i 0.0630904 0.998008i \(-0.479904\pi\)
0.592639 + 0.805468i \(0.298086\pi\)
\(84\) 2.35935 1.48447i 0.257426 0.161969i
\(85\) −0.214731 + 0.247813i −0.0232908 + 0.0268791i
\(86\) −2.54639 1.16290i −0.274585 0.125399i
\(87\) 1.76130 5.99844i 0.188831 0.643101i
\(88\) −13.9704 + 6.38008i −1.48925 + 0.680119i
\(89\) 1.32657 + 9.22651i 0.140616 + 0.978008i 0.930902 + 0.365269i \(0.119023\pi\)
−0.790285 + 0.612739i \(0.790068\pi\)
\(90\) −0.792686 0.509428i −0.0835565 0.0536985i
\(91\) −2.13319 2.51010i −0.223619 0.263130i
\(92\) −4.20744 2.79786i −0.438656 0.291697i
\(93\) −7.02609 −0.728571
\(94\) 4.47103 6.95705i 0.461151 0.717565i
\(95\) 0.869986 + 6.05089i 0.0892587 + 0.620808i
\(96\) 4.71166 2.15174i 0.480882 0.219611i
\(97\) −14.8247 4.35294i −1.50522 0.441974i −0.577861 0.816135i \(-0.696112\pi\)
−0.927363 + 0.374162i \(0.877931\pi\)
\(98\) 5.65714 + 3.79098i 0.571457 + 0.382946i
\(99\) 3.90724 + 3.38564i 0.392693 + 0.340270i
\(100\) −0.609035 + 4.23593i −0.0609035 + 0.423593i
\(101\) −3.53695 12.0457i −0.351939 1.19859i −0.925282 0.379279i \(-0.876172\pi\)
0.573343 0.819315i \(-0.305646\pi\)
\(102\) 0.248905 0.215678i 0.0246453 0.0213553i
\(103\) −12.0172 + 7.72298i −1.18409 + 0.760968i −0.976134 0.217171i \(-0.930317\pi\)
−0.207955 + 0.978138i \(0.566681\pi\)
\(104\) −1.99962 3.11147i −0.196079 0.305105i
\(105\) −0.389020 + 2.53290i −0.0379645 + 0.247186i
\(106\) −2.18358 7.43660i −0.212088 0.722306i
\(107\) −2.16990 0.311984i −0.209772 0.0301606i 0.0366276 0.999329i \(-0.488338\pi\)
−0.246400 + 0.969168i \(0.579248\pi\)
\(108\) −0.796241 0.689947i −0.0766183 0.0663901i
\(109\) −0.148697 0.0679076i −0.0142426 0.00650436i 0.408281 0.912856i \(-0.366128\pi\)
−0.422524 + 0.906352i \(0.638856\pi\)
\(110\) 1.37247 4.67421i 0.130860 0.445669i
\(111\) −0.529696 1.15987i −0.0502765 0.110090i
\(112\) 1.55218 + 1.37127i 0.146667 + 0.129573i
\(113\) −0.0172420 + 0.0268291i −0.00162199 + 0.00252387i −0.842064 0.539378i \(-0.818659\pi\)
0.840442 + 0.541902i \(0.182296\pi\)
\(114\) 6.14006i 0.575070i
\(115\) 4.47686 1.23884i 0.417470 0.115523i
\(116\) −6.58663 −0.611553
\(117\) −0.673126 + 1.04740i −0.0622305 + 0.0968325i
\(118\) −8.84841 + 1.27221i −0.814562 + 0.117116i
\(119\) −0.811150 0.379889i −0.0743580 0.0348244i
\(120\) −0.810626 + 2.76074i −0.0739997 + 0.252020i
\(121\) −6.53411 + 14.3077i −0.594010 + 1.30070i
\(122\) 2.27635 2.62705i 0.206091 0.237842i
\(123\) 0.537115 3.73572i 0.0484301 0.336839i
\(124\) 2.08553 + 7.10267i 0.187286 + 0.637839i
\(125\) −5.74776 6.63327i −0.514095 0.593298i
\(126\) 0.748817 2.46257i 0.0667099 0.219383i
\(127\) 4.05825 2.60808i 0.360111 0.231429i −0.348057 0.937474i \(-0.613158\pi\)
0.708168 + 0.706044i \(0.249522\pi\)
\(128\) −2.57631 2.97322i −0.227716 0.262798i
\(129\) 2.76095 0.810690i 0.243089 0.0713772i
\(130\) 1.16123 + 0.166960i 0.101847 + 0.0146433i
\(131\) 1.85930 + 1.61109i 0.162448 + 0.140762i 0.732292 0.680991i \(-0.238451\pi\)
−0.569844 + 0.821753i \(0.692996\pi\)
\(132\) 2.26277 4.95478i 0.196949 0.431258i
\(133\) −15.2554 + 6.79076i −1.32281 + 0.588833i
\(134\) −5.48979 + 2.50710i −0.474246 + 0.216581i
\(135\) 0.958713 0.137842i 0.0825129 0.0118636i
\(136\) −0.846043 0.543719i −0.0725476 0.0466235i
\(137\) 0.728574i 0.0622463i 0.999516 + 0.0311232i \(0.00990841\pi\)
−0.999516 + 0.0311232i \(0.990092\pi\)
\(138\) −4.62792 + 0.591706i −0.393954 + 0.0503694i
\(139\) 17.8116i 1.51076i −0.655287 0.755380i \(-0.727453\pi\)
0.655287 0.755380i \(-0.272547\pi\)
\(140\) 2.67598 0.358573i 0.226162 0.0303049i
\(141\) 1.20978 + 8.41420i 0.101882 + 0.708603i
\(142\) 2.42360 + 5.30695i 0.203384 + 0.445349i
\(143\) −6.17620 1.81350i −0.516480 0.151652i
\(144\) 0.325195 0.712077i 0.0270996 0.0593398i
\(145\) 3.96531 4.57622i 0.329301 0.380034i
\(146\) −1.67239 0.240453i −0.138408 0.0199000i
\(147\) −6.94659 + 0.863047i −0.572945 + 0.0711829i
\(148\) −1.01529 + 0.879751i −0.0834561 + 0.0723151i
\(149\) 7.37545 + 11.4764i 0.604221 + 0.940186i 0.999764 + 0.0217381i \(0.00692001\pi\)
−0.395543 + 0.918447i \(0.629444\pi\)
\(150\) 2.13637 + 3.32426i 0.174434 + 0.271425i
\(151\) −3.13572 3.61881i −0.255181 0.294495i 0.613676 0.789558i \(-0.289690\pi\)
−0.868857 + 0.495063i \(0.835145\pi\)
\(152\) −17.9897 + 5.28225i −1.45916 + 0.428447i
\(153\) −0.0481797 + 0.335097i −0.00389510 + 0.0270910i
\(154\) 13.3065 + 0.127698i 1.07227 + 0.0102902i
\(155\) −6.19029 2.82701i −0.497216 0.227071i
\(156\) 1.25862 + 0.369565i 0.100771 + 0.0295889i
\(157\) 2.41463 + 5.28731i 0.192709 + 0.421973i 0.981179 0.193099i \(-0.0618540\pi\)
−0.788470 + 0.615073i \(0.789127\pi\)
\(158\) −3.14338 + 0.451950i −0.250074 + 0.0359552i
\(159\) 6.70219 + 4.30724i 0.531518 + 0.341586i
\(160\) 5.01695 0.396625
\(161\) 6.58849 + 10.8440i 0.519246 + 0.854625i
\(162\) −0.972842 −0.0764337
\(163\) 13.6235 + 8.75531i 1.06708 + 0.685769i 0.951537 0.307534i \(-0.0995039\pi\)
0.115540 + 0.993303i \(0.463140\pi\)
\(164\) −3.93587 + 0.565893i −0.307340 + 0.0441888i
\(165\) 2.08021 + 4.55502i 0.161944 + 0.354608i
\(166\) −5.81174 1.70648i −0.451078 0.132449i
\(167\) −11.1834 5.10729i −0.865397 0.395214i −0.0672930 0.997733i \(-0.521436\pi\)
−0.798104 + 0.602520i \(0.794164\pi\)
\(168\) −7.85924 0.0754223i −0.606353 0.00581895i
\(169\) −1.62948 + 11.3333i −0.125345 + 0.871793i
\(170\) 0.306077 0.0898722i 0.0234750 0.00689288i
\(171\) 4.13313 + 4.76989i 0.316069 + 0.364763i
\(172\) −1.63905 2.55042i −0.124977 0.194467i
\(173\) 2.15005 + 3.34554i 0.163465 + 0.254357i 0.913317 0.407249i \(-0.133512\pi\)
−0.749852 + 0.661605i \(0.769875\pi\)
\(174\) −4.59639 + 3.98280i −0.348452 + 0.301935i
\(175\) 5.89659 8.98452i 0.445740 0.679166i
\(176\) 4.00600 + 0.575975i 0.301963 + 0.0434158i
\(177\) 6.01748 6.94455i 0.452302 0.521984i
\(178\) 3.76708 8.24877i 0.282355 0.618271i
\(179\) −18.4370 5.41358i −1.37804 0.404630i −0.492956 0.870055i \(-0.664083\pi\)
−0.885088 + 0.465425i \(0.845902\pi\)
\(180\) −0.423917 0.928248i −0.0315969 0.0691875i
\(181\) −3.68110 25.6026i −0.273614 1.90303i −0.409514 0.912304i \(-0.634302\pi\)
0.135900 0.990723i \(-0.456607\pi\)
\(182\) 0.425607 + 3.17625i 0.0315481 + 0.235439i
\(183\) 3.57312i 0.264133i
\(184\) 5.71499 + 13.0502i 0.421315 + 0.962075i
\(185\) 1.23503i 0.0908009i
\(186\) 5.75020 + 3.69543i 0.421625 + 0.270962i
\(187\) −1.73246 + 0.249090i −0.126690 + 0.0182153i
\(188\) 8.14682 3.72053i 0.594168 0.271347i
\(189\) 1.07594 + 2.41710i 0.0782631 + 0.175818i
\(190\) 2.47051 5.40967i 0.179230 0.392458i
\(191\) −14.6653 12.7076i −1.06115 0.919488i −0.0642276 0.997935i \(-0.520458\pi\)
−0.996918 + 0.0784472i \(0.975004\pi\)
\(192\) −6.53748 0.939948i −0.471802 0.0678349i
\(193\) 24.2271 7.11373i 1.74391 0.512058i 0.754385 0.656432i \(-0.227935\pi\)
0.989523 + 0.144375i \(0.0461170\pi\)
\(194\) 9.84321 + 11.3597i 0.706701 + 0.815577i
\(195\) −1.01449 + 0.651971i −0.0726489 + 0.0466886i
\(196\) 2.93439 + 6.76614i 0.209599 + 0.483296i
\(197\) −5.22832 6.03381i −0.372503 0.429891i 0.538287 0.842762i \(-0.319072\pi\)
−0.910790 + 0.412871i \(0.864526\pi\)
\(198\) −1.41701 4.82588i −0.100702 0.342960i
\(199\) 3.29629 22.9262i 0.233668 1.62520i −0.448348 0.893859i \(-0.647987\pi\)
0.682016 0.731338i \(-0.261104\pi\)
\(200\) 7.90180 9.11917i 0.558742 0.644823i
\(201\) 2.57709 5.64304i 0.181774 0.398030i
\(202\) −3.44089 + 11.7186i −0.242100 + 0.824518i
\(203\) 14.9790 + 7.01519i 1.05132 + 0.492370i
\(204\) 0.353051 0.0507611i 0.0247185 0.00355398i
\(205\) 1.97632 3.07522i 0.138032 0.214783i
\(206\) 13.8969 0.968244
\(207\) 3.19688 3.57491i 0.222198 0.248473i
\(208\) 0.974650i 0.0675798i
\(209\) −17.6413 + 27.4505i −1.22028 + 1.89879i
\(210\) 1.65058 1.86834i 0.113901 0.128927i
\(211\) −8.53244 18.6834i −0.587398 1.28622i −0.937002 0.349324i \(-0.886411\pi\)
0.349604 0.936897i \(-0.386316\pi\)
\(212\) 2.36479 8.05375i 0.162415 0.553134i
\(213\) −5.45509 2.49126i −0.373777 0.170698i
\(214\) 1.61177 + 1.39661i 0.110178 + 0.0954700i
\(215\) 2.75871 + 0.396643i 0.188143 + 0.0270508i
\(216\) 0.836929 + 2.85032i 0.0569458 + 0.193940i
\(217\) 2.82198 18.3738i 0.191568 1.24730i
\(218\) 0.0859780 + 0.133784i 0.00582316 + 0.00906102i
\(219\) 1.46105 0.938958i 0.0987285 0.0634489i
\(220\) 3.98721 3.45493i 0.268817 0.232932i
\(221\) −0.118751 0.404430i −0.00798808 0.0272049i
\(222\) −0.176537 + 1.22785i −0.0118484 + 0.0824076i
\(223\) 22.2076 + 19.2430i 1.48713 + 1.28861i 0.860675 + 0.509154i \(0.170042\pi\)
0.626459 + 0.779455i \(0.284504\pi\)
\(224\) 3.73459 + 13.1856i 0.249528 + 0.881002i
\(225\) −3.89733 1.14436i −0.259822 0.0762907i
\(226\) 0.0282220 0.0128886i 0.00187730 0.000857334i
\(227\) 3.56275 + 24.7794i 0.236468 + 1.64467i 0.669153 + 0.743124i \(0.266657\pi\)
−0.432686 + 0.901545i \(0.642434\pi\)
\(228\) 3.59506 5.59402i 0.238088 0.370473i
\(229\) 19.9727 1.31983 0.659917 0.751338i \(-0.270591\pi\)
0.659917 + 0.751338i \(0.270591\pi\)
\(230\) −4.31548 1.34077i −0.284554 0.0884075i
\(231\) −10.4231 + 8.85796i −0.685788 + 0.582811i
\(232\) 15.6234 + 10.0405i 1.02573 + 0.659194i
\(233\) 1.14342 + 7.95269i 0.0749082 + 0.520998i 0.992382 + 0.123201i \(0.0393161\pi\)
−0.917473 + 0.397797i \(0.869775\pi\)
\(234\) 1.10178 0.503167i 0.0720257 0.0328930i
\(235\) −2.31966 + 7.90004i −0.151318 + 0.515342i
\(236\) −8.80640 4.02175i −0.573248 0.261793i
\(237\) 2.13770 2.46703i 0.138858 0.160251i
\(238\) 0.464045 + 0.737535i 0.0300796 + 0.0478073i
\(239\) 8.09190 2.37600i 0.523421 0.153690i −0.00933926 0.999956i \(-0.502973\pi\)
0.532761 + 0.846266i \(0.321155\pi\)
\(240\) 0.573022 0.496526i 0.0369884 0.0320506i
\(241\) −7.40822 + 4.76097i −0.477205 + 0.306681i −0.757042 0.653366i \(-0.773356\pi\)
0.279837 + 0.960048i \(0.409720\pi\)
\(242\) 12.8728 8.27286i 0.827496 0.531800i
\(243\) 0.755750 0.654861i 0.0484814 0.0420093i
\(244\) 3.61207 1.06060i 0.231239 0.0678979i
\(245\) −6.46751 2.03464i −0.413194 0.129989i
\(246\) −2.40441 + 2.77484i −0.153300 + 0.176917i
\(247\) −7.14798 3.26437i −0.454815 0.207707i
\(248\) 5.88033 20.0266i 0.373402 1.27169i
\(249\) 5.66353 2.58645i 0.358912 0.163910i
\(250\) 1.21518 + 8.45180i 0.0768550 + 0.534539i
\(251\) 17.4263 + 11.1992i 1.09994 + 0.706887i 0.959078 0.283142i \(-0.0913769\pi\)
0.140860 + 0.990030i \(0.455013\pi\)
\(252\) 2.12408 1.80513i 0.133804 0.113712i
\(253\) 22.3901 + 10.6514i 1.40766 + 0.669645i
\(254\) −4.69304 −0.294467
\(255\) −0.177278 + 0.275850i −0.0111016 + 0.0172744i
\(256\) 2.42458 + 16.8633i 0.151536 + 1.05396i
\(257\) 19.9647 9.11757i 1.24536 0.568738i 0.319855 0.947467i \(-0.396366\pi\)
0.925508 + 0.378728i \(0.123639\pi\)
\(258\) −2.68597 0.788673i −0.167221 0.0491006i
\(259\) 3.24591 0.919346i 0.201691 0.0571254i
\(260\) 0.960205 + 0.832022i 0.0595494 + 0.0515998i
\(261\) 0.889707 6.18805i 0.0550715 0.383031i
\(262\) −0.674297 2.29645i −0.0416582 0.141875i
\(263\) 7.17830 6.22003i 0.442633 0.383543i −0.404836 0.914390i \(-0.632671\pi\)
0.847468 + 0.530846i \(0.178126\pi\)
\(264\) −12.9202 + 8.30334i −0.795186 + 0.511035i
\(265\) 4.17187 + 6.49155i 0.256276 + 0.398773i
\(266\) 16.0568 + 2.46611i 0.984506 + 0.151207i
\(267\) 2.62614 + 8.94381i 0.160717 + 0.547352i
\(268\) −6.46951 0.930175i −0.395188 0.0568195i
\(269\) −5.60438 4.85622i −0.341705 0.296089i 0.467055 0.884228i \(-0.345315\pi\)
−0.808759 + 0.588140i \(0.799861\pi\)
\(270\) −0.857117 0.391432i −0.0521625 0.0238218i
\(271\) 4.91085 16.7248i 0.298313 1.01596i −0.664835 0.746990i \(-0.731498\pi\)
0.963148 0.268971i \(-0.0866835\pi\)
\(272\) 0.110092 + 0.241069i 0.00667533 + 0.0146169i
\(273\) −2.46870 2.18097i −0.149412 0.131998i
\(274\) 0.383200 0.596270i 0.0231499 0.0360220i
\(275\) 20.9999i 1.26634i
\(276\) −4.56280 2.17060i −0.274648 0.130655i
\(277\) −18.7551 −1.12689 −0.563443 0.826155i \(-0.690524\pi\)
−0.563443 + 0.826155i \(0.690524\pi\)
\(278\) −9.36815 + 14.5771i −0.561864 + 0.874278i
\(279\) −6.95457 + 0.999916i −0.416359 + 0.0598634i
\(280\) −6.89399 3.22869i −0.411995 0.192951i
\(281\) −1.50842 + 5.13721i −0.0899848 + 0.306460i −0.992171 0.124887i \(-0.960143\pi\)
0.902186 + 0.431347i \(0.141961\pi\)
\(282\) 3.43543 7.52253i 0.204577 0.447960i
\(283\) −4.67591 + 5.39629i −0.277954 + 0.320776i −0.877511 0.479556i \(-0.840798\pi\)
0.599557 + 0.800332i \(0.295343\pi\)
\(284\) −0.899194 + 6.25403i −0.0533573 + 0.371108i
\(285\) 1.72226 + 5.86549i 0.102018 + 0.347441i
\(286\) 4.10082 + 4.73260i 0.242487 + 0.279845i
\(287\) 9.55351 + 2.90503i 0.563926 + 0.171478i
\(288\) 4.35747 2.80038i 0.256767 0.165014i
\(289\) 11.0576 + 12.7611i 0.650446 + 0.750654i
\(290\) −5.65214 + 1.65962i −0.331905 + 0.0974561i
\(291\) −15.2933 2.19885i −0.896511 0.128899i
\(292\) −1.38287 1.19827i −0.0809265 0.0701232i
\(293\) 8.28083 18.1325i 0.483771 1.05931i −0.497638 0.867385i \(-0.665799\pi\)
0.981409 0.191927i \(-0.0614736\pi\)
\(294\) 6.13907 + 2.94729i 0.358038 + 0.171890i
\(295\) 8.09587 3.69726i 0.471360 0.215263i
\(296\) 3.74932 0.539071i 0.217925 0.0313329i
\(297\) 4.34930 + 2.79512i 0.252372 + 0.162190i
\(298\) 13.2716i 0.768801i
\(299\) −1.77160 + 5.70219i −0.102454 + 0.329766i
\(300\) 4.27949i 0.247077i
\(301\) 1.01111 + 7.54575i 0.0582792 + 0.434930i
\(302\) 0.662950 + 4.61092i 0.0381485 + 0.265329i
\(303\) −5.21523 11.4198i −0.299607 0.656048i
\(304\) 4.74060 + 1.39197i 0.271892 + 0.0798347i
\(305\) −1.43768 + 3.14808i −0.0823212 + 0.180258i
\(306\) 0.215678 0.248905i 0.0123295 0.0142290i
\(307\) 19.6284 + 2.82214i 1.12025 + 0.161068i 0.677463 0.735557i \(-0.263079\pi\)
0.442791 + 0.896625i \(0.353988\pi\)
\(308\) 12.0484 + 7.90740i 0.686519 + 0.450566i
\(309\) −10.7958 + 9.35459i −0.614150 + 0.532164i
\(310\) 3.57929 + 5.56948i 0.203290 + 0.316325i
\(311\) −6.82734 10.6235i −0.387143 0.602406i 0.591912 0.806003i \(-0.298373\pi\)
−0.979055 + 0.203596i \(0.934737\pi\)
\(312\) −2.42208 2.79522i −0.137123 0.158248i
\(313\) 1.94313 0.570555i 0.109832 0.0322497i −0.226355 0.974045i \(-0.572681\pi\)
0.336187 + 0.941795i \(0.390863\pi\)
\(314\) 0.804751 5.59717i 0.0454147 0.315866i
\(315\) −0.0245912 + 2.56248i −0.00138556 + 0.144380i
\(316\) −3.12845 1.42872i −0.175989 0.0803716i
\(317\) −4.60149 1.35112i −0.258445 0.0758864i 0.149943 0.988695i \(-0.452091\pi\)
−0.408388 + 0.912808i \(0.633909\pi\)
\(318\) −3.21969 7.05015i −0.180551 0.395353i
\(319\) 31.9923 4.59980i 1.79123 0.257540i
\(320\) −5.38161 3.45855i −0.300841 0.193339i
\(321\) −2.19221 −0.122357
\(322\) 0.311407 12.3401i 0.0173540 0.687685i
\(323\) −2.13670 −0.118889
\(324\) −0.886326 0.569607i −0.0492403 0.0316448i
\(325\) 5.00576 0.719720i 0.277670 0.0399229i
\(326\) −6.54466 14.3308i −0.362475 0.793710i
\(327\) −0.156848 0.0460546i −0.00867369 0.00254683i
\(328\) 10.1985 + 4.65748i 0.563116 + 0.257166i
\(329\) −22.4898 0.215826i −1.23990 0.0118989i
\(330\) 0.693293 4.82196i 0.0381645 0.265440i
\(331\) −24.4015 + 7.16492i −1.34123 + 0.393820i −0.872107 0.489315i \(-0.837247\pi\)
−0.469119 + 0.883135i \(0.655429\pi\)
\(332\) −4.29573 4.95754i −0.235759 0.272080i
\(333\) −0.689371 1.07268i −0.0377773 0.0587826i
\(334\) 6.46635 + 10.0618i 0.353823 + 0.550559i
\(335\) 4.54106 3.93485i 0.248105 0.214984i
\(336\) 1.73153 + 1.13641i 0.0944628 + 0.0619964i
\(337\) −32.7798 4.71303i −1.78563 0.256735i −0.831372 0.555717i \(-0.812444\pi\)
−0.954259 + 0.298982i \(0.903353\pi\)
\(338\) 7.29443 8.41822i 0.396764 0.457891i
\(339\) −0.0132484 + 0.0290098i −0.000719552 + 0.00157560i
\(340\) 0.331478 + 0.0973306i 0.0179769 + 0.00527849i
\(341\) −15.0900 33.0424i −0.817167 1.78935i
\(342\) −0.873822 6.07757i −0.0472509 0.328637i
\(343\) 0.533107 18.5126i 0.0287851 0.999586i
\(344\) 8.54809i 0.460882i
\(345\) 4.25499 1.86336i 0.229081 0.100320i
\(346\) 3.86885i 0.207991i
\(347\) 19.4952 + 12.5288i 1.04656 + 0.672581i 0.946600 0.322411i \(-0.104493\pi\)
0.0999568 + 0.994992i \(0.468130\pi\)
\(348\) −6.51959 + 0.937375i −0.349487 + 0.0502486i
\(349\) −25.8617 + 11.8107i −1.38435 + 0.632210i −0.961705 0.274087i \(-0.911624\pi\)
−0.422642 + 0.906297i \(0.638897\pi\)
\(350\) −9.55130 + 4.25164i −0.510538 + 0.227260i
\(351\) −0.517213 + 1.13254i −0.0276068 + 0.0604505i
\(352\) 20.2385 + 17.5368i 1.07872 + 0.934712i
\(353\) −8.11497 1.16676i −0.431916 0.0621002i −0.0770718 0.997026i \(-0.524557\pi\)
−0.354844 + 0.934925i \(0.615466\pi\)
\(354\) −8.57729 + 2.51852i −0.455878 + 0.133858i
\(355\) −3.80380 4.38982i −0.201885 0.232987i
\(356\) 8.26179 5.30953i 0.437874 0.281405i
\(357\) −0.856957 0.260584i −0.0453550 0.0137915i
\(358\) 12.2416 + 14.1276i 0.646990 + 0.746666i
\(359\) −7.05855 24.0392i −0.372536 1.26874i −0.906130 0.423000i \(-0.860977\pi\)
0.533594 0.845741i \(-0.320841\pi\)
\(360\) −0.409481 + 2.84800i −0.0215815 + 0.150103i
\(361\) −13.6438 + 15.7458i −0.718094 + 0.828724i
\(362\) −10.4533 + 22.8895i −0.549411 + 1.20304i
\(363\) −4.43141 + 15.0920i −0.232588 + 0.792124i
\(364\) −1.47196 + 3.14298i −0.0771518 + 0.164737i
\(365\) 1.66505 0.239398i 0.0871525 0.0125306i
\(366\) 1.87931 2.92427i 0.0982332 0.152854i
\(367\) −11.6881 −0.610111 −0.305056 0.952335i \(-0.598675\pi\)
−0.305056 + 0.952335i \(0.598675\pi\)
\(368\) 0.592316 3.70725i 0.0308766 0.193254i
\(369\) 3.77414i 0.196474i
\(370\) −0.649572 + 1.01075i −0.0337697 + 0.0525466i
\(371\) −13.9557 + 15.7968i −0.724543 + 0.820131i
\(372\) 3.07512 + 6.73358i 0.159438 + 0.349120i
\(373\) −7.16421 + 24.3991i −0.370949 + 1.26334i 0.536760 + 0.843735i \(0.319648\pi\)
−0.907709 + 0.419600i \(0.862170\pi\)
\(374\) 1.54887 + 0.707344i 0.0800901 + 0.0365759i
\(375\) −6.63327 5.74776i −0.342540 0.296813i
\(376\) −24.9956 3.59383i −1.28905 0.185338i
\(377\) 2.19291 + 7.46837i 0.112941 + 0.384641i
\(378\) 0.390735 2.54407i 0.0200973 0.130853i
\(379\) 0.469050 + 0.729856i 0.0240935 + 0.0374902i 0.853091 0.521762i \(-0.174725\pi\)
−0.828998 + 0.559252i \(0.811089\pi\)
\(380\) 5.41821 3.48207i 0.277948 0.178626i
\(381\) 3.64577 3.15908i 0.186779 0.161845i
\(382\) 5.31855 + 18.1133i 0.272121 + 0.926758i
\(383\) 2.48829 17.3065i 0.127146 0.884319i −0.822001 0.569486i \(-0.807142\pi\)
0.949147 0.314833i \(-0.101949\pi\)
\(384\) −2.97322 2.57631i −0.151727 0.131472i
\(385\) −12.7473 + 3.61043i −0.649661 + 0.184005i
\(386\) −23.5692 6.92054i −1.19964 0.352246i
\(387\) 2.61748 1.19536i 0.133054 0.0607637i
\(388\) 2.31666 + 16.1127i 0.117611 + 0.817999i
\(389\) −14.6755 + 22.8355i −0.744077 + 1.15781i 0.238354 + 0.971178i \(0.423392\pi\)
−0.982431 + 0.186628i \(0.940244\pi\)
\(390\) 1.17317 0.0594059
\(391\) 0.205910 + 1.61049i 0.0104133 + 0.0814458i
\(392\) 3.35384 20.5223i 0.169395 1.03653i
\(393\) 2.06966 + 1.33009i 0.104400 + 0.0670941i
\(394\) 1.10537 + 7.68799i 0.0556875 + 0.387315i
\(395\) 2.87604 1.31344i 0.144709 0.0660865i
\(396\) 1.53460 5.22638i 0.0771167 0.262635i
\(397\) −19.4150 8.86654i −0.974411 0.444999i −0.136401 0.990654i \(-0.543554\pi\)
−0.838010 + 0.545655i \(0.816281\pi\)
\(398\) −14.7559 + 17.0293i −0.739649 + 0.853600i
\(399\) −14.1337 + 8.89271i −0.707571 + 0.445192i
\(400\) −3.05091 + 0.895827i −0.152545 + 0.0447913i
\(401\) −9.03438 + 7.82834i −0.451156 + 0.390928i −0.850587 0.525835i \(-0.823753\pi\)
0.399431 + 0.916763i \(0.369208\pi\)
\(402\) −5.07712 + 3.26286i −0.253224 + 0.162737i
\(403\) 7.35915 4.72944i 0.366585 0.235590i
\(404\) −9.99622 + 8.66177i −0.497330 + 0.430939i
\(405\) 0.929338 0.272878i 0.0461792 0.0135594i
\(406\) −8.56925 13.6196i −0.425285 0.675931i
\(407\) 4.31703 4.98212i 0.213987 0.246955i
\(408\) −0.914810 0.417780i −0.0452899 0.0206832i
\(409\) 10.5304 35.8631i 0.520693 1.77332i −0.106345 0.994329i \(-0.533915\pi\)
0.627038 0.778989i \(-0.284267\pi\)
\(410\) −3.23488 + 1.47732i −0.159759 + 0.0729595i
\(411\) 0.103687 + 0.721159i 0.00511450 + 0.0355721i
\(412\) 12.6610 + 8.13676i 0.623765 + 0.400869i
\(413\) 15.7437 + 18.5255i 0.774698 + 0.911579i
\(414\) −4.49660 + 1.24430i −0.220996 + 0.0611542i
\(415\) 6.03051 0.296026
\(416\) −3.48662 + 5.42528i −0.170945 + 0.265996i
\(417\) −2.53485 17.6303i −0.124132 0.863359i
\(418\) 28.8756 13.1870i 1.41235 0.644999i
\(419\) −6.94966 2.04061i −0.339513 0.0996901i 0.107531 0.994202i \(-0.465705\pi\)
−0.447045 + 0.894512i \(0.647524\pi\)
\(420\) 2.59771 0.735755i 0.126755 0.0359012i
\(421\) −27.8418 24.1251i −1.35693 1.17578i −0.966952 0.254960i \(-0.917938\pi\)
−0.389976 0.920825i \(-0.627517\pi\)
\(422\) −2.84370 + 19.7784i −0.138429 + 0.962796i
\(423\) 2.39493 + 8.15638i 0.116445 + 0.396577i
\(424\) −17.8862 + 15.4985i −0.868633 + 0.752675i
\(425\) 1.15682 0.743445i 0.0561141 0.0360624i
\(426\) 3.15419 + 4.90801i 0.152821 + 0.237794i
\(427\) −9.34402 1.43512i −0.452189 0.0694503i
\(428\) 0.650708 + 2.21611i 0.0314531 + 0.107120i
\(429\) −6.37143 0.916073i −0.307615 0.0442284i
\(430\) −2.04913 1.77558i −0.0988179 0.0856262i
\(431\) −8.65930 3.95457i −0.417104 0.190485i 0.195798 0.980644i \(-0.437270\pi\)
−0.612901 + 0.790159i \(0.709998\pi\)
\(432\) 0.220546 0.751109i 0.0106110 0.0361378i
\(433\) −4.11687 9.01469i −0.197844 0.433218i 0.784543 0.620074i \(-0.212898\pi\)
−0.982387 + 0.186856i \(0.940170\pi\)
\(434\) −11.9734 + 13.5530i −0.574741 + 0.650566i
\(435\) 3.27369 5.09396i 0.156961 0.244237i
\(436\) 0.172228i 0.00824820i
\(437\) 25.2047 + 16.7606i 1.20571 + 0.801768i
\(438\) −1.68959 −0.0807315
\(439\) 9.42744 14.6694i 0.449947 0.700131i −0.539985 0.841675i \(-0.681570\pi\)
0.989932 + 0.141543i \(0.0452065\pi\)
\(440\) −14.7242 + 2.11702i −0.701950 + 0.100925i
\(441\) −6.75306 + 1.84287i −0.321574 + 0.0877555i
\(442\) −0.115526 + 0.393446i −0.00549503 + 0.0187143i
\(443\) 3.14604 6.88886i 0.149473 0.327299i −0.820054 0.572287i \(-0.806056\pi\)
0.969526 + 0.244987i \(0.0787837\pi\)
\(444\) −0.879751 + 1.01529i −0.0417511 + 0.0481834i
\(445\) −1.28488 + 8.93654i −0.0609092 + 0.423633i
\(446\) −8.05386 27.4289i −0.381361 1.29880i
\(447\) 8.93365 + 10.3100i 0.422547 + 0.487645i
\(448\) 5.08378 16.7186i 0.240186 0.789878i
\(449\) 24.3369 15.6403i 1.14853 0.738114i 0.179182 0.983816i \(-0.442655\pi\)
0.969345 + 0.245702i \(0.0790186\pi\)
\(450\) 2.58772 + 2.98639i 0.121986 + 0.140780i
\(451\) 18.7220 5.49727i 0.881583 0.258856i
\(452\) 0.0332585 + 0.00478186i 0.00156435 + 0.000224920i
\(453\) −3.61881 3.13572i −0.170027 0.147329i
\(454\) 10.1172 22.1535i 0.474823 1.03972i
\(455\) −1.29750 2.91483i −0.0608277 0.136649i
\(456\) −17.0548 + 7.78868i −0.798666 + 0.364739i
\(457\) 14.7814 2.12524i 0.691444 0.0994146i 0.212370 0.977189i \(-0.431882\pi\)
0.479074 + 0.877775i \(0.340973\pi\)
\(458\) −16.3458 10.5048i −0.763790 0.490858i
\(459\) 0.338543i 0.0158018i
\(460\) −3.14666 3.74828i −0.146714 0.174764i
\(461\) 28.9108i 1.34651i −0.739411 0.673254i \(-0.764896\pi\)
0.739411 0.673254i \(-0.235104\pi\)
\(462\) 13.1892 1.76731i 0.613619 0.0822229i
\(463\) −0.659213 4.58493i −0.0306362 0.213080i 0.968753 0.248028i \(-0.0797824\pi\)
−0.999389 + 0.0349483i \(0.988873\pi\)
\(464\) −2.03301 4.45168i −0.0943803 0.206664i
\(465\) −6.52961 1.91727i −0.302803 0.0889111i
\(466\) 3.24700 7.10993i 0.150414 0.329361i
\(467\) 21.8511 25.2175i 1.01115 1.16693i 0.0252308 0.999682i \(-0.491968\pi\)
0.985916 0.167244i \(-0.0534866\pi\)
\(468\) 1.29841 + 0.186683i 0.0600189 + 0.00862941i
\(469\) 13.7220 + 9.00581i 0.633622 + 0.415850i
\(470\) 6.05352 5.24541i 0.279228 0.241953i
\(471\) 3.14252 + 4.88985i 0.144800 + 0.225313i
\(472\) 14.7580 + 22.9638i 0.679290 + 1.05700i
\(473\) 9.74224 + 11.2431i 0.447949 + 0.516960i
\(474\) −3.04706 + 0.894699i −0.139956 + 0.0410949i
\(475\) 3.64843 25.3754i 0.167402 1.16430i
\(476\) −0.00905584 + 0.943647i −0.000415074 + 0.0432520i
\(477\) 7.24696 + 3.30957i 0.331815 + 0.151535i
\(478\) −7.87214 2.31147i −0.360063 0.105724i
\(479\) 10.4960 + 22.9830i 0.479574 + 1.05012i 0.982580 + 0.185838i \(0.0595001\pi\)
−0.503006 + 0.864283i \(0.667773\pi\)
\(480\) 4.96589 0.713987i 0.226661 0.0325889i
\(481\) 1.33555 + 0.858303i 0.0608956 + 0.0391352i
\(482\) 8.56701 0.390217
\(483\) 8.06469 + 9.79596i 0.366956 + 0.445731i
\(484\) 16.5719 0.753266
\(485\) −12.5894 8.09070i −0.571654 0.367380i
\(486\) −0.962940 + 0.138450i −0.0436799 + 0.00628022i
\(487\) −5.22273 11.4362i −0.236665 0.518223i 0.753615 0.657316i \(-0.228308\pi\)
−0.990279 + 0.139093i \(0.955581\pi\)
\(488\) −10.1845 2.99045i −0.461032 0.135371i
\(489\) 14.7309 + 6.72736i 0.666153 + 0.304222i
\(490\) 4.22292 + 5.06681i 0.190772 + 0.228895i
\(491\) −5.47347 + 38.0688i −0.247014 + 1.71802i 0.368273 + 0.929718i \(0.379949\pi\)
−0.615287 + 0.788303i \(0.710960\pi\)
\(492\) −3.81527 + 1.12027i −0.172006 + 0.0505055i
\(493\) 1.38599 + 1.59952i 0.0624218 + 0.0720386i
\(494\) 4.13304 + 6.43113i 0.185954 + 0.289350i
\(495\) 2.70728 + 4.21261i 0.121683 + 0.189343i
\(496\) −4.15674 + 3.60183i −0.186643 + 0.161727i
\(497\) 8.70586 13.2650i 0.390511 0.595014i
\(498\) −5.99544 0.862014i −0.268662 0.0386278i
\(499\) −2.60039 + 3.00101i −0.116410 + 0.134344i −0.810963 0.585097i \(-0.801056\pi\)
0.694554 + 0.719441i \(0.255602\pi\)
\(500\) −3.84148 + 8.41166i −0.171796 + 0.376181i
\(501\) −11.7964 3.46374i −0.527025 0.154748i
\(502\) −8.37149 18.3310i −0.373638 0.818153i
\(503\) 0.603536 + 4.19768i 0.0269103 + 0.187166i 0.998843 0.0480946i \(-0.0153149\pi\)
−0.971932 + 0.235260i \(0.924406\pi\)
\(504\) −7.78998 + 1.04383i −0.346993 + 0.0464960i
\(505\) 12.1597i 0.541100i
\(506\) −12.7221 20.4934i −0.565565 0.911044i
\(507\) 11.4498i 0.508506i
\(508\) −4.27568 2.74781i −0.189703 0.121914i
\(509\) 4.58425 0.659116i 0.203193 0.0292148i −0.0399665 0.999201i \(-0.512725\pi\)
0.243160 + 0.969986i \(0.421816\pi\)
\(510\) 0.290171 0.132517i 0.0128490 0.00586794i
\(511\) 1.86864 + 4.19789i 0.0826637 + 0.185704i
\(512\) 3.61650 7.91904i 0.159828 0.349975i
\(513\) 4.76989 + 4.13313i 0.210596 + 0.182482i
\(514\) −21.1347 3.03871i −0.932212 0.134032i
\(515\) −13.2755 + 3.89803i −0.584987 + 0.171768i
\(516\) −1.98533 2.29119i −0.0873993 0.100864i
\(517\) −36.9722 + 23.7606i −1.62603 + 1.04499i
\(518\) −3.14002 0.954816i −0.137964 0.0419522i
\(519\) 2.60428 + 3.00550i 0.114315 + 0.131927i
\(520\) −1.00927 3.43726i −0.0442595 0.150734i
\(521\) −0.438031 + 3.04657i −0.0191905 + 0.133473i −0.997164 0.0752547i \(-0.976023\pi\)
0.977974 + 0.208727i \(0.0669321\pi\)
\(522\) −3.98280 + 4.59639i −0.174322 + 0.201179i
\(523\) 0.590199 1.29236i 0.0258076 0.0565108i −0.896289 0.443470i \(-0.853747\pi\)
0.922097 + 0.386959i \(0.126475\pi\)
\(524\) 0.730256 2.48703i 0.0319014 0.108646i
\(525\) 4.55794 9.73225i 0.198925 0.424750i
\(526\) −9.14624 + 1.31503i −0.398795 + 0.0573381i
\(527\) 1.28599 2.00103i 0.0560184 0.0871664i
\(528\) 4.04719 0.176131
\(529\) 10.2039 20.6126i 0.443649 0.896200i
\(530\) 7.50696i 0.326082i
\(531\) 4.96792 7.73024i 0.215590 0.335464i
\(532\) 13.1849 + 11.6482i 0.571639 + 0.505013i
\(533\) 1.95203 + 4.27435i 0.0845519 + 0.185143i
\(534\) 2.55482 8.70092i 0.110558 0.376525i
\(535\) −1.93143 0.882057i −0.0835032 0.0381346i
\(536\) 13.9276 + 12.0684i 0.601582 + 0.521274i
\(537\) −19.0197 2.73462i −0.820762 0.118008i
\(538\) 2.03249 + 6.92203i 0.0876270 + 0.298430i
\(539\) −18.9780 30.8150i −0.817440 1.32730i
\(540\) −0.551705 0.858470i −0.0237416 0.0369427i
\(541\) −22.7952 + 14.6496i −0.980040 + 0.629834i −0.929474 0.368887i \(-0.879739\pi\)
−0.0505660 + 0.998721i \(0.516103\pi\)
\(542\) −12.8156 + 11.1048i −0.550479 + 0.476993i
\(543\) −7.28726 24.8181i −0.312726 1.06505i
\(544\) −0.249558 + 1.73572i −0.0106997 + 0.0744182i
\(545\) −0.119659 0.103685i −0.00512563 0.00444139i
\(546\) 0.873302 + 3.08335i 0.0373739 + 0.131955i
\(547\) 33.2660 + 9.76778i 1.42235 + 0.417640i 0.900298 0.435273i \(-0.143348\pi\)
0.522053 + 0.852913i \(0.325166\pi\)
\(548\) 0.698242 0.318877i 0.0298274 0.0136217i
\(549\) 0.508508 + 3.53675i 0.0217026 + 0.150945i
\(550\) −11.0451 + 17.1865i −0.470964 + 0.732835i
\(551\) 39.4573 1.68094
\(552\) 7.51406 + 12.1041i 0.319820 + 0.515183i
\(553\) 5.59292 + 6.58113i 0.237835 + 0.279858i
\(554\) 15.3493 + 9.86442i 0.652131 + 0.419099i
\(555\) −0.175763 1.22246i −0.00746070 0.0518903i
\(556\) −17.0701 + 7.79563i −0.723932 + 0.330608i
\(557\) 2.97061 10.1170i 0.125869 0.428669i −0.872313 0.488948i \(-0.837381\pi\)
0.998182 + 0.0602788i \(0.0191990\pi\)
\(558\) 6.21758 + 2.83948i 0.263211 + 0.120205i
\(559\) −2.34614 + 2.70759i −0.0992311 + 0.114519i
\(560\) 1.06831 + 1.69793i 0.0451443 + 0.0717506i
\(561\) −1.67938 + 0.493109i −0.0709033 + 0.0208191i
\(562\) 3.93646 3.41096i 0.166050 0.143883i
\(563\) 6.97286 4.48119i 0.293871 0.188859i −0.385395 0.922752i \(-0.625935\pi\)
0.679266 + 0.733892i \(0.262298\pi\)
\(564\) 7.53441 4.84207i 0.317256 0.203888i
\(565\) −0.0233448 + 0.0202284i −0.000982122 + 0.000851013i
\(566\) 6.66502 1.95703i 0.280152 0.0822600i
\(567\) 1.40898 + 2.23937i 0.0591715 + 0.0940448i
\(568\) 11.6664 13.4637i 0.489511 0.564926i
\(569\) 12.8702 + 5.87761i 0.539546 + 0.246402i 0.666498 0.745507i \(-0.267792\pi\)
−0.126953 + 0.991909i \(0.540520\pi\)
\(570\) 1.67549 5.70619i 0.0701785 0.239006i
\(571\) 13.7185 6.26503i 0.574101 0.262183i −0.107138 0.994244i \(-0.534169\pi\)
0.681239 + 0.732061i \(0.261441\pi\)
\(572\) 0.965154 + 6.71279i 0.0403551 + 0.280676i
\(573\) −16.3245 10.4911i −0.681967 0.438274i
\(574\) −6.29073 7.40224i −0.262570 0.308964i
\(575\) −19.4777 0.304534i −0.812274 0.0126999i
\(576\) −6.60471 −0.275196
\(577\) −16.1699 + 25.1609i −0.673162 + 1.04746i 0.321761 + 0.946821i \(0.395725\pi\)
−0.994923 + 0.100640i \(0.967911\pi\)
\(578\) −2.33778 16.2596i −0.0972389 0.676311i
\(579\) 22.9682 10.4892i 0.954524 0.435917i
\(580\) −6.12121 1.79735i −0.254169 0.0746308i
\(581\) 4.48907 + 15.8495i 0.186238 + 0.657547i
\(582\) 11.3597 + 9.84321i 0.470873 + 0.408014i
\(583\) −5.86182 + 40.7698i −0.242772 + 1.68851i
\(584\) 1.45354 + 4.95029i 0.0601478 + 0.204845i
\(585\) −0.911375 + 0.789711i −0.0376807 + 0.0326505i
\(586\) −16.3140 + 10.4844i −0.673926 + 0.433106i
\(587\) 16.0655 + 24.9984i 0.663094 + 1.03179i 0.996045 + 0.0888498i \(0.0283191\pi\)
−0.332951 + 0.942944i \(0.608045\pi\)
\(588\) 3.86745 + 6.27966i 0.159491 + 0.258969i
\(589\) −12.4934 42.5486i −0.514782 1.75319i
\(590\) −8.57033 1.23223i −0.352835 0.0507300i
\(591\) −6.03381 5.22832i −0.248198 0.215064i
\(592\) −0.907969 0.414656i −0.0373173 0.0170422i
\(593\) −8.18674 + 27.8815i −0.336189 + 1.14495i 0.601903 + 0.798569i \(0.294409\pi\)
−0.938092 + 0.346385i \(0.887409\pi\)
\(594\) −2.08938 4.57510i −0.0857282 0.187719i
\(595\) −0.650169 0.574390i −0.0266543 0.0235477i
\(596\) 7.77061 12.0913i 0.318297 0.495279i
\(597\) 23.1620i 0.947957i
\(598\) 4.44900 3.73492i 0.181933 0.152732i
\(599\) 11.0743 0.452484 0.226242 0.974071i \(-0.427356\pi\)
0.226242 + 0.974071i \(0.427356\pi\)
\(600\) 6.52358 10.1509i 0.266324 0.414408i
\(601\) −2.96022 + 0.425615i −0.120750 + 0.0173612i −0.202425 0.979298i \(-0.564882\pi\)
0.0816749 + 0.996659i \(0.473973\pi\)
\(602\) 3.14125 6.70729i 0.128028 0.273369i
\(603\) 1.74777 5.95236i 0.0711748 0.242399i
\(604\) −2.09574 + 4.58903i −0.0852744 + 0.186725i
\(605\) −9.97666 + 11.5137i −0.405609 + 0.468098i
\(606\) −1.73814 + 12.0890i −0.0706070 + 0.491082i
\(607\) 4.30067 + 14.6467i 0.174559 + 0.594493i 0.999568 + 0.0293742i \(0.00935145\pi\)
−0.825010 + 0.565119i \(0.808830\pi\)
\(608\) 21.4086 + 24.7068i 0.868231 + 1.00199i
\(609\) 15.8249 + 4.81205i 0.641259 + 0.194994i
\(610\) 2.83236 1.82025i 0.114679 0.0736998i
\(611\) −6.93094 7.99873i −0.280396 0.323594i
\(612\) 0.342233 0.100489i 0.0138340 0.00406202i
\(613\) −17.9531 2.58127i −0.725119 0.104256i −0.230135 0.973159i \(-0.573917\pi\)
−0.494984 + 0.868902i \(0.664826\pi\)
\(614\) −14.5797 12.6334i −0.588389 0.509842i
\(615\) 1.51856 3.32518i 0.0612342 0.134084i
\(616\) −16.5246 37.1225i −0.665796 1.49571i
\(617\) −16.1002 + 7.35273i −0.648171 + 0.296010i −0.712240 0.701936i \(-0.752319\pi\)
0.0640694 + 0.997945i \(0.479592\pi\)
\(618\) 13.7555 1.97774i 0.553326 0.0795563i
\(619\) −14.6033 9.38496i −0.586956 0.377213i 0.213198 0.977009i \(-0.431612\pi\)
−0.800153 + 0.599796i \(0.795249\pi\)
\(620\) 7.16988i 0.287949i
\(621\) 2.65558 3.99348i 0.106565 0.160253i
\(622\) 12.2853i 0.492595i
\(623\) −24.4436 + 3.27537i −0.979313 + 0.131225i
\(624\) 0.138707 + 0.964729i 0.00555273 + 0.0386201i
\(625\) 4.90527 + 10.7410i 0.196211 + 0.429642i
\(626\) −1.89036 0.555060i −0.0755540 0.0221847i
\(627\) −13.5552 + 29.6817i −0.541341 + 1.18537i
\(628\) 4.01037 4.62821i 0.160031 0.184686i
\(629\) 0.427282 + 0.0614339i 0.0170369 + 0.00244953i
\(630\) 1.36788 2.08422i 0.0544978 0.0830373i
\(631\) 15.4849 13.4178i 0.616445 0.534152i −0.289702 0.957117i \(-0.593556\pi\)
0.906146 + 0.422965i \(0.139011\pi\)
\(632\) 5.24273 + 8.15785i 0.208545 + 0.324502i
\(633\) −11.1045 17.2790i −0.441365 0.686778i
\(634\) 3.05526 + 3.52595i 0.121340 + 0.140034i
\(635\) 4.48317 1.31638i 0.177909 0.0522389i
\(636\) 1.19456 8.30832i 0.0473672 0.329446i
\(637\) 6.69495 5.57989i 0.265264 0.221083i
\(638\) −28.6021 13.0621i −1.13237 0.517134i
\(639\) −5.75411 1.68956i −0.227629 0.0668379i
\(640\) −1.58294 3.46615i −0.0625711 0.137012i
\(641\) −30.4745 + 4.38157i −1.20367 + 0.173062i −0.714822 0.699307i \(-0.753492\pi\)
−0.488849 + 0.872368i \(0.662583\pi\)
\(642\) 1.79412 + 1.15301i 0.0708083 + 0.0455057i
\(643\) −21.0898 −0.831700 −0.415850 0.909433i \(-0.636516\pi\)
−0.415850 + 0.909433i \(0.636516\pi\)
\(644\) 7.50892 11.0603i 0.295893 0.435837i
\(645\) 2.78708 0.109741
\(646\) 1.74869 + 1.12382i 0.0688014 + 0.0442160i
\(647\) −13.9123 + 2.00028i −0.546948 + 0.0786393i −0.410249 0.911973i \(-0.634558\pi\)
−0.136699 + 0.990613i \(0.543649\pi\)
\(648\) 1.23405 + 2.70220i 0.0484782 + 0.106152i
\(649\) 45.5827 + 13.3843i 1.78928 + 0.525379i
\(650\) −4.47529 2.04380i −0.175535 0.0801643i
\(651\) 0.178386 18.5884i 0.00699151 0.728538i
\(652\) 2.42817 16.8883i 0.0950945 0.661397i
\(653\) 41.1077 12.0703i 1.60867 0.472348i 0.650727 0.759312i \(-0.274464\pi\)
0.957941 + 0.286964i \(0.0926460\pi\)
\(654\) 0.104142 + 0.120187i 0.00407229 + 0.00469967i
\(655\) 1.28829 + 2.00461i 0.0503375 + 0.0783267i
\(656\) −1.59730 2.48545i −0.0623642 0.0970406i
\(657\) 1.31255 1.13733i 0.0512074 0.0443715i
\(658\) 18.2923 + 12.0053i 0.713107 + 0.468016i
\(659\) −23.6940 3.40668i −0.922987 0.132706i −0.335594 0.942007i \(-0.608937\pi\)
−0.587394 + 0.809301i \(0.699846\pi\)
\(660\) 3.45493 3.98721i 0.134483 0.155202i
\(661\) −15.1356 + 33.1423i −0.588706 + 1.28909i 0.347514 + 0.937675i \(0.387026\pi\)
−0.936221 + 0.351413i \(0.885701\pi\)
\(662\) 23.7388 + 6.97034i 0.922634 + 0.270910i
\(663\) −0.175099 0.383413i −0.00680028 0.0148905i
\(664\) 2.63223 + 18.3075i 0.102150 + 0.710471i
\(665\) −16.0305 + 2.14803i −0.621636 + 0.0832972i
\(666\) 1.24047i 0.0480673i
\(667\) −3.80242 29.7399i −0.147230 1.15153i
\(668\) 12.9531i 0.501171i
\(669\) 24.7202 + 15.8867i 0.955737 + 0.614215i
\(670\) −5.78601 + 0.831902i −0.223533 + 0.0321392i
\(671\) −16.8037 + 7.67401i −0.648701 + 0.296252i
\(672\) 5.57309 + 12.5199i 0.214986 + 0.482967i
\(673\) 3.96637 8.68515i 0.152892 0.334788i −0.817651 0.575714i \(-0.804724\pi\)
0.970543 + 0.240927i \(0.0774513\pi\)
\(674\) 24.3484 + 21.0980i 0.937864 + 0.812664i
\(675\) −4.02052 0.578064i −0.154750 0.0222497i
\(676\) 11.5747 3.39862i 0.445179 0.130716i
\(677\) −9.05646 10.4517i −0.348068 0.401692i 0.554539 0.832158i \(-0.312895\pi\)
−0.902607 + 0.430466i \(0.858349\pi\)
\(678\) 0.0261005 0.0167738i 0.00100238 0.000644193i
\(679\) 11.8926 39.1103i 0.456398 1.50091i
\(680\) −0.637891 0.736165i −0.0244620 0.0282306i
\(681\) 7.05296 + 24.0202i 0.270270 + 0.920456i
\(682\) −5.02920 + 34.9788i −0.192578 + 1.33941i
\(683\) 28.3148 32.6770i 1.08344 1.25035i 0.117086 0.993122i \(-0.462645\pi\)
0.966350 0.257230i \(-0.0828097\pi\)
\(684\) 2.76235 6.04871i 0.105621 0.231278i
\(685\) −0.198812 + 0.677092i −0.00759622 + 0.0258704i
\(686\) −10.1731 + 14.8704i −0.388413 + 0.567756i
\(687\) 19.7694 2.84241i 0.754250 0.108445i
\(688\) 1.21783 1.89498i 0.0464294 0.0722456i
\(689\) −9.91921 −0.377892
\(690\) −4.46236 0.712963i −0.169879 0.0271420i
\(691\) 12.9076i 0.491028i −0.969393 0.245514i \(-0.921043\pi\)
0.969393 0.245514i \(-0.0789568\pi\)
\(692\) 2.26524 3.52478i 0.0861115 0.133992i
\(693\) −9.05636 + 10.2512i −0.344023 + 0.389409i
\(694\) −9.36538 20.5073i −0.355505 0.778447i
\(695\) 4.86040 16.5530i 0.184365 0.627891i
\(696\) 16.8933 + 7.71490i 0.640338 + 0.292433i
\(697\) 0.965627 + 0.836720i 0.0365757 + 0.0316930i
\(698\) 27.3773 + 3.93627i 1.03625 + 0.148990i
\(699\) 2.26357 + 7.70902i 0.0856162 + 0.291582i
\(700\) −11.1913 1.71883i −0.422990 0.0649656i
\(701\) 19.3006 + 30.0324i 0.728975 + 1.13431i 0.985812 + 0.167853i \(0.0536833\pi\)
−0.256837 + 0.966455i \(0.582680\pi\)
\(702\) 1.01896 0.654845i 0.0384581 0.0247155i
\(703\) 6.08209 5.27016i 0.229390 0.198768i
\(704\) −9.62018 32.7633i −0.362574 1.23481i
\(705\) −1.17176 + 8.14976i −0.0441310 + 0.306938i
\(706\) 6.02768 + 5.22302i 0.226855 + 0.196571i
\(707\) 31.9583 9.05162i 1.20192 0.340421i
\(708\) −9.28912 2.72753i −0.349106 0.102507i
\(709\) −34.7361 + 15.8635i −1.30454 + 0.595765i −0.941815 0.336131i \(-0.890882\pi\)
−0.362727 + 0.931895i \(0.618154\pi\)
\(710\) 0.804194 + 5.59329i 0.0301809 + 0.209913i
\(711\) 1.76484 2.74615i 0.0661868 0.102989i
\(712\) −27.6906 −1.03775
\(713\) −30.8660 + 13.5169i −1.15594 + 0.506212i
\(714\) 0.564284 + 0.663987i 0.0211178 + 0.0248491i
\(715\) −5.24492 3.37070i −0.196149 0.126057i
\(716\) 2.88114 + 20.0388i 0.107673 + 0.748884i
\(717\) 7.67139 3.50341i 0.286493 0.130837i
\(718\) −6.86685 + 23.3864i −0.256269 + 0.872771i
\(719\) 21.0713 + 9.62293i 0.785826 + 0.358875i 0.767575 0.640959i \(-0.221463\pi\)
0.0182509 + 0.999833i \(0.494190\pi\)
\(720\) 0.496526 0.573022i 0.0185044 0.0213553i
\(721\) −20.1270 31.9891i −0.749570 1.19134i
\(722\) 19.4478 5.71038i 0.723771 0.212518i
\(723\) −6.65526 + 5.76681i −0.247512 + 0.214470i
\(724\) −22.9256 + 14.7334i −0.852023 + 0.547562i
\(725\) −21.3624 + 13.7288i −0.793379 + 0.509873i
\(726\) 11.5644 10.0206i 0.429197 0.371901i
\(727\) 25.9741 7.62667i 0.963324 0.282858i 0.238000 0.971265i \(-0.423508\pi\)
0.725324 + 0.688408i \(0.241690\pi\)
\(728\) 8.28257 5.21126i 0.306972 0.193142i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −1.48860 0.679820i −0.0550955 0.0251613i
\(731\) −0.274453 + 0.934702i −0.0101510 + 0.0345712i
\(732\) 3.42436 1.56385i 0.126568 0.0578017i
\(733\) −3.33511 23.1962i −0.123185 0.856771i −0.953911 0.300089i \(-0.902984\pi\)
0.830726 0.556681i \(-0.187926\pi\)
\(734\) 9.56559 + 6.14743i 0.353072 + 0.226906i
\(735\) −6.69124 1.09351i −0.246810 0.0403348i
\(736\) 16.5590 18.5171i 0.610373 0.682549i
\(737\) 32.0730 1.18143
\(738\) −1.98504 + 3.08878i −0.0730702 + 0.113700i
\(739\) 6.93514 + 48.2350i 0.255113 + 1.77435i 0.566493 + 0.824066i \(0.308300\pi\)
−0.311380 + 0.950286i \(0.600791\pi\)
\(740\) −1.18361 + 0.540536i −0.0435104 + 0.0198705i
\(741\) −7.53980 2.21388i −0.276981 0.0813291i
\(742\) 19.7299 5.58814i 0.724308 0.205147i
\(743\) −11.4437 9.91599i −0.419827 0.363782i 0.419180 0.907903i \(-0.362318\pi\)
−0.839007 + 0.544121i \(0.816863\pi\)
\(744\) 2.97040 20.6596i 0.108900 0.757418i
\(745\) 3.72262 + 12.6781i 0.136386 + 0.464489i
\(746\) 18.6961 16.2003i 0.684514 0.593135i
\(747\) 5.23780 3.36613i 0.191641 0.123160i
\(748\) 0.996969 + 1.55131i 0.0364528 + 0.0567217i
\(749\) 0.880486 5.73282i 0.0321723 0.209473i
\(750\) 2.40563 + 8.19283i 0.0878413 + 0.299160i
\(751\) 9.40177 + 1.35177i 0.343075 + 0.0493268i 0.311699 0.950181i \(-0.399102\pi\)
0.0313762 + 0.999508i \(0.490011\pi\)
\(752\) 5.02915 + 4.35779i 0.183394 + 0.158912i
\(753\) 18.8427 + 8.60519i 0.686667 + 0.313590i
\(754\) 2.13336 7.26555i 0.0776923 0.264596i
\(755\) −1.92665 4.21877i −0.0701179 0.153537i
\(756\) 1.84556 2.08904i 0.0671223 0.0759777i
\(757\) −22.2383 + 34.6035i −0.808265 + 1.25768i 0.154674 + 0.987966i \(0.450567\pi\)
−0.962939 + 0.269719i \(0.913069\pi\)
\(758\) 0.844020i 0.0306562i
\(759\) 23.6781 + 7.35649i 0.859460 + 0.267024i
\(760\) −18.1599 −0.658729
\(761\) −0.495110 + 0.770407i −0.0179477 + 0.0279272i −0.850112 0.526603i \(-0.823466\pi\)
0.832164 + 0.554530i \(0.187102\pi\)
\(762\) −4.64527 + 0.667889i −0.168280 + 0.0241951i
\(763\) 0.183434 0.391673i 0.00664074 0.0141795i
\(764\) −5.75993 + 19.6165i −0.208387 + 0.709701i
\(765\) −0.136216 + 0.298271i −0.00492490 + 0.0107840i
\(766\) −11.1389 + 12.8550i −0.402465 + 0.464470i
\(767\) −1.62818 + 11.3243i −0.0587903 + 0.408896i
\(768\) 4.79980 + 16.3466i 0.173198 + 0.589857i
\(769\) 25.6610 + 29.6144i 0.925361 + 1.06792i 0.997510 + 0.0705298i \(0.0224690\pi\)
−0.0721486 + 0.997394i \(0.522986\pi\)
\(770\) 12.3314 + 3.74973i 0.444392 + 0.135131i
\(771\) 18.4639 11.8660i 0.664961 0.427345i
\(772\) −17.4211 20.1050i −0.627000 0.723596i
\(773\) 0.101924