Properties

Label 483.2.r.a.34.12
Level $483$
Weight $2$
Character 483.34
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 34.12
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.12

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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 −0.797005 0.603972i \(-0.793584\pi\)
0.218304 + 0.975881i \(0.429947\pi\)
\(3\) 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 −0.0672393 0.997737i \(-0.521419\pi\)
0.482852 + 0.875702i \(0.339601\pi\)
\(6\) −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 −0.105676 0.994401i \(-0.533701\pi\)
0.948438 0.316962i \(-0.102663\pi\)
\(12\) −0.569607 + 0.886326i −0.164431 + 0.255860i
\(13\) −0.940947 0.815335i −0.260972 0.226133i 0.514540 0.857466i \(-0.327963\pi\)
−0.775512 + 0.631333i \(0.782508\pi\)
\(14\) 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 0.891810 0.452409i \(-0.149435\pi\)
−0.925920 + 0.377720i \(0.876708\pi\)
\(18\) −0.933435 + 0.274081i −0.220013 + 0.0646016i
\(19\) 2.62188 5.74111i 0.601500 1.31710i −0.326738 0.945115i \(-0.605949\pi\)
0.928238 0.371987i \(-0.121323\pi\)
\(20\) −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 0.981836 + 0.189730i \(0.0607612\pi\)
−0.499578 + 0.866269i \(0.666511\pi\)
\(30\) −0.712119 + 0.617054i −0.130014 + 0.112658i
\(31\) −6.95457 + 0.999916i −1.24908 + 0.179590i −0.734949 0.678123i \(-0.762794\pi\)
−0.514129 + 0.857713i \(0.671885\pi\)
\(32\) 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 −0.983737 0.179614i \(-0.942515\pi\)
0.924679 + 0.380748i \(0.124333\pi\)
\(38\) 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 0.999908 + 0.0135527i \(0.00431410\pi\)
−0.833849 + 0.551992i \(0.813868\pi\)
\(42\) 1.09165 + 2.33093i 0.168446 + 0.359671i
\(43\) 2.84823 + 0.409513i 0.434350 + 0.0624501i 0.356022 0.934477i \(-0.384133\pi\)
0.0783281 + 0.996928i \(0.475042\pi\)
\(44\) 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 \(-0.787141\pi\)
0.784618 0.619979i \(-0.212859\pi\)
\(48\) 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 −0.134610 0.990899i \(-0.542978\pi\)
0.961656 + 0.274259i \(0.0884325\pi\)
\(54\) −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 0.976847 0.213941i \(-0.0686300\pi\)
−0.0727435 + 0.997351i \(0.523175\pi\)
\(60\) −0.287498 + 0.979130i −0.0371159 + 0.126405i
\(61\) −0.508508 3.53675i −0.0651078 0.452835i −0.996131 0.0878758i \(-0.971992\pi\)
0.931024 0.364959i \(-0.118917\pi\)
\(62\) 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 0.983386 0.181527i \(-0.0581039\pi\)
−0.573636 + 0.819110i \(0.694468\pi\)
\(68\) 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 −0.804618 0.593793i \(-0.797630\pi\)
0.205883 + 0.978577i \(0.433993\pi\)
\(72\) 0.422768 2.94041i 0.0498236 0.346531i
\(73\) 1.57980 + 0.721472i 0.184902 + 0.0844420i 0.505715 0.862701i \(-0.331229\pi\)
−0.320813 + 0.947143i \(0.603956\pi\)
\(74\) −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 0.782506 0.622643i \(-0.213941\pi\)
−0.504943 + 0.863153i \(0.668487\pi\)
\(80\) 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 0.592639 0.805468i \(-0.298086\pi\)
0.0630904 + 0.998008i \(0.479904\pi\)
\(84\) 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 −0.790285 0.612739i \(-0.790068\pi\)
0.930902 0.365269i \(-0.119023\pi\)
\(90\) −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 −0.927363 0.374162i \(-0.877931\pi\)
−0.577861 + 0.816135i \(0.696112\pi\)
\(98\) 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 0.573343 + 0.819315i \(0.305646\pi\)
−0.925282 + 0.379279i \(0.876172\pi\)
\(102\) 0.248905 + 0.215678i 0.0246453 + 0.0213553i
\(103\) −12.0172 7.72298i −1.18409 0.760968i −0.207955 0.978138i \(-0.566681\pi\)
−0.976134 + 0.217171i \(0.930317\pi\)
\(104\) −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 −0.246400 0.969168i \(-0.579248\pi\)
0.0366276 + 0.999329i \(0.488338\pi\)
\(108\) −0.796241 + 0.689947i −0.0766183 + 0.0663901i
\(109\) −0.148697 + 0.0679076i −0.0142426 + 0.00650436i −0.422524 0.906352i \(-0.638856\pi\)
0.408281 + 0.912856i \(0.366128\pi\)
\(110\) 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 0.840442 0.541902i \(-0.182296\pi\)
−0.842064 + 0.539378i \(0.818659\pi\)
\(114\) 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 0.708168 0.706044i \(-0.249522\pi\)
−0.348057 + 0.937474i \(0.613158\pi\)
\(128\) −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 −0.569844 0.821753i \(-0.692996\pi\)
0.732292 + 0.680991i \(0.238451\pi\)
\(132\) 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 \(-0.990092\pi\)
0.999516 0.0311232i \(-0.00990841\pi\)
\(138\) −4.62792 0.591706i −0.393954 0.0503694i
\(139\) 17.8116i 1.51076i 0.655287 + 0.755380i \(0.272547\pi\)
−0.655287 + 0.755380i \(0.727453\pi\)
\(140\) 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 −0.395543 0.918447i \(-0.629444\pi\)
0.999764 0.0217381i \(-0.00692001\pi\)
\(150\) 2.13637 3.32426i 0.174434 0.271425i
\(151\) −3.13572 + 3.61881i −0.255181 + 0.294495i −0.868857 0.495063i \(-0.835145\pi\)
0.613676 + 0.789558i \(0.289690\pi\)
\(152\) −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 −0.788470 0.615073i \(-0.789127\pi\)
0.981179 + 0.193099i \(0.0618540\pi\)
\(158\) −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 0.115540 0.993303i \(-0.463140\pi\)
0.951537 + 0.307534i \(0.0995039\pi\)
\(164\) −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 −0.798104 0.602520i \(-0.794164\pi\)
−0.0672930 + 0.997733i \(0.521436\pi\)
\(168\) −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 −0.749852 0.661605i \(-0.769875\pi\)
0.913317 + 0.407249i \(0.133512\pi\)
\(174\) −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 −0.885088 0.465425i \(-0.845902\pi\)
−0.492956 + 0.870055i \(0.664083\pi\)
\(180\) −0.423917 + 0.928248i −0.0315969 + 0.0691875i
\(181\) −3.68110 + 25.6026i −0.273614 + 1.90303i 0.135900 + 0.990723i \(0.456607\pi\)
−0.409514 + 0.912304i \(0.634302\pi\)
\(182\) 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 −0.996918 0.0784472i \(-0.975004\pi\)
−0.0642276 + 0.997935i \(0.520458\pi\)
\(192\) −6.53748 + 0.939948i −0.471802 + 0.0678349i
\(193\) 24.2271 + 7.11373i 1.74391 + 0.512058i 0.989523 0.144375i \(-0.0461170\pi\)
0.754385 + 0.656432i \(0.227935\pi\)
\(194\) 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 −0.910790 0.412871i \(-0.864526\pi\)
0.538287 + 0.842762i \(0.319072\pi\)
\(198\) −1.41701 + 4.82588i −0.100702 + 0.342960i
\(199\) 3.29629 + 22.9262i 0.233668 + 1.62520i 0.682016 + 0.731338i \(0.261104\pi\)
−0.448348 + 0.893859i \(0.647987\pi\)
\(200\) 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 0.349604 + 0.936897i \(0.386316\pi\)
−0.937002 + 0.349324i \(0.886411\pi\)
\(212\) 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 0.626459 0.779455i \(-0.284504\pi\)
0.860675 0.509154i \(-0.170042\pi\)
\(224\) 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 −0.432686 0.901545i \(-0.642434\pi\)
0.669153 0.743124i \(-0.266657\pi\)
\(228\) 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 −0.917473 0.397797i \(-0.869775\pi\)
0.992382 0.123201i \(-0.0393161\pi\)
\(234\) 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 0.532761 0.846266i \(-0.321155\pi\)
−0.00933926 + 0.999956i \(0.502973\pi\)
\(240\) 0.573022 + 0.496526i 0.0369884 + 0.0320506i
\(241\) −7.40822 4.76097i −0.477205 0.306681i 0.279837 0.960048i \(-0.409720\pi\)
−0.757042 + 0.653366i \(0.773356\pi\)
\(242\) 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 0.140860 0.990030i \(-0.455013\pi\)
0.959078 + 0.283142i \(0.0913769\pi\)
\(252\) 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 0.925508 0.378728i \(-0.123639\pi\)
0.319855 + 0.947467i \(0.396366\pi\)
\(258\) −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 0.847468 0.530846i \(-0.178126\pi\)
−0.404836 + 0.914390i \(0.632671\pi\)
\(264\) −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 −0.808759 0.588140i \(-0.799861\pi\)
0.467055 + 0.884228i \(0.345315\pi\)
\(270\) −0.857117 + 0.391432i −0.0521625 + 0.0238218i
\(271\) 4.91085 + 16.7248i 0.298313 + 1.01596i 0.963148 + 0.268971i \(0.0866835\pi\)
−0.664835 + 0.746990i \(0.731498\pi\)
\(272\) 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 0.902186 0.431347i \(-0.141961\pi\)
−0.992171 + 0.124887i \(0.960143\pi\)
\(282\) 3.43543 + 7.52253i 0.204577 + 0.447960i
\(283\) −4.67591 5.39629i −0.277954 0.320776i 0.599557 0.800332i \(-0.295343\pi\)
−0.877511 + 0.479556i \(0.840798\pi\)
\(284\) −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 0.981409 + 0.191927i \(0.0614736\pi\)
−0.497638 + 0.867385i \(0.665799\pi\)
\(294\) 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 0.442791 0.896625i \(-0.353988\pi\)
0.677463 + 0.735557i \(0.263079\pi\)
\(308\) 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 −0.979055 0.203596i \(-0.934737\pi\)
0.591912 + 0.806003i \(0.298373\pi\)
\(312\) −2.42208 + 2.79522i −0.137123 + 0.158248i
\(313\) 1.94313 + 0.570555i 0.109832 + 0.0322497i 0.336187 0.941795i \(-0.390863\pi\)
−0.226355 + 0.974045i \(0.572681\pi\)
\(314\) 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 −0.408388 0.912808i \(-0.633909\pi\)
0.149943 + 0.988695i \(0.452091\pi\)
\(318\) −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 −0.469119 0.883135i \(-0.655429\pi\)
−0.872107 + 0.489315i \(0.837247\pi\)
\(332\) −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 −0.954259 0.298982i \(-0.903353\pi\)
−0.831372 + 0.555717i \(0.812444\pi\)
\(338\) 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 0.0999568 0.994992i \(-0.468130\pi\)
0.946600 + 0.322411i \(0.104493\pi\)
\(348\) −6.51959 0.937375i −0.349487 0.0502486i
\(349\) −25.8617 11.8107i −1.38435 0.632210i −0.422642 0.906297i \(-0.638897\pi\)
−0.961705 + 0.274087i \(0.911624\pi\)
\(350\) −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 −0.354844 0.934925i \(-0.615466\pi\)
−0.0770718 + 0.997026i \(0.524557\pi\)
\(354\) −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 0.533594 + 0.845741i \(0.320841\pi\)
−0.906130 + 0.423000i \(0.860977\pi\)
\(360\) −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 −0.907709 0.419600i \(-0.862170\pi\)
0.536760 0.843735i \(-0.319648\pi\)
\(374\) 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 −0.828998 0.559252i \(-0.811089\pi\)
0.853091 + 0.521762i \(0.174725\pi\)
\(380\) 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 0.949147 + 0.314833i \(0.101949\pi\)
−0.822001 + 0.569486i \(0.807142\pi\)
\(384\) −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 −0.982431 0.186628i \(-0.940244\pi\)
0.238354 0.971178i \(-0.423392\pi\)
\(390\) 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 −0.838010 0.545655i \(-0.816281\pi\)
−0.136401 + 0.990654i \(0.543554\pi\)
\(398\) −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 0.399431 0.916763i \(-0.369208\pi\)
−0.850587 + 0.525835i \(0.823753\pi\)
\(402\) −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 0.627038 + 0.778989i \(0.284267\pi\)
−0.106345 + 0.994329i \(0.533915\pi\)
\(410\) −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 −0.447045 0.894512i \(-0.647524\pi\)
0.107531 + 0.994202i \(0.465705\pi\)
\(420\) 2.59771 + 0.735755i 0.126755 + 0.0359012i
\(421\) −27.8418 + 24.1251i −1.35693 + 1.17578i −0.389976 + 0.920825i \(0.627517\pi\)
−0.966952 + 0.254960i \(0.917938\pi\)
\(422\) −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 −0.612901 0.790159i \(-0.709998\pi\)
0.195798 + 0.980644i \(0.437270\pi\)
\(432\) 0.220546 + 0.751109i 0.0106110 + 0.0361378i
\(433\) −4.11687 + 9.01469i −0.197844 + 0.433218i −0.982387 0.186856i \(-0.940170\pi\)
0.784543 + 0.620074i \(0.212898\pi\)
\(434\) −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 0.989932 0.141543i \(-0.0452065\pi\)
−0.539985 + 0.841675i \(0.681570\pi\)
\(440\) −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 0.969526 0.244987i \(-0.0787837\pi\)
−0.820054 + 0.572287i \(0.806056\pi\)
\(444\) −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 0.969345 0.245702i \(-0.0790186\pi\)
0.179182 + 0.983816i \(0.442655\pi\)
\(450\) 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 0.479074 0.877775i \(-0.340973\pi\)
0.212370 + 0.977189i \(0.431882\pi\)
\(458\) −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 \(0.235104\pi\)
−0.739411 + 0.673254i \(0.764896\pi\)
\(462\) 13.1892 + 1.76731i 0.613619 + 0.0822229i
\(463\) −0.659213 + 4.58493i −0.0306362 + 0.213080i −0.999389 0.0349483i \(-0.988873\pi\)
0.968753 + 0.248028i \(0.0797824\pi\)
\(464\) −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 0.985916 + 0.167244i \(0.0534866\pi\)
0.0252308 + 0.999682i \(0.491968\pi\)
\(468\) 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 −0.503006 0.864283i \(-0.667773\pi\)
0.982580 0.185838i \(-0.0595001\pi\)
\(480\) 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 −0.990279 0.139093i \(-0.955581\pi\)
0.753615 + 0.657316i \(0.228308\pi\)
\(488\) −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 −0.615287 0.788303i \(-0.710960\pi\)
0.368273 0.929718i \(-0.379949\pi\)
\(492\) −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 0.694554 0.719441i \(-0.255602\pi\)
−0.810963 + 0.585097i \(0.801056\pi\)
\(500\) −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 −0.971932 0.235260i \(-0.924406\pi\)
0.998843 + 0.0480946i \(0.0153149\pi\)
\(504\) −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 0.243160 0.969986i \(-0.421816\pi\)
−0.0399665 + 0.999201i \(0.512725\pi\)
\(510\) 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 0.977974 0.208727i \(-0.0669321\pi\)
−0.997164 + 0.0752547i \(0.976023\pi\)
\(522\) −3.98280 4.59639i −0.174322 0.201179i
\(523\) 0.590199 + 1.29236i 0.0258076 + 0.0565108i 0.922097 0.386959i \(-0.126475\pi\)
−0.896289 + 0.443470i \(0.853747\pi\)
\(524\) 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 −0.0505660 0.998721i \(-0.516103\pi\)
−0.929474 + 0.368887i \(0.879739\pi\)
\(542\) −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 0.522053 0.852913i \(-0.325166\pi\)
0.900298 + 0.435273i \(0.143348\pi\)
\(548\) 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 0.998182 0.0602788i \(-0.0191990\pi\)
−0.872313 + 0.488948i \(0.837381\pi\)
\(558\) 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 0.679266 0.733892i \(-0.262298\pi\)
−0.385395 + 0.922752i \(0.625935\pi\)
\(564\) 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 −0.126953 0.991909i \(-0.540520\pi\)
0.666498 + 0.745507i \(0.267792\pi\)
\(570\) 1.67549 + 5.70619i 0.0701785 + 0.239006i
\(571\) 13.7185 + 6.26503i 0.574101 + 0.262183i 0.681239 0.732061i \(-0.261441\pi\)
−0.107138 + 0.994244i \(0.534169\pi\)
\(572\) 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 −0.994923 0.100640i \(-0.967911\pi\)
0.321761 0.946821i \(-0.395725\pi\)
\(578\) −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 −0.332951 0.942944i \(-0.608045\pi\)
0.996045 0.0888498i \(-0.0283191\pi\)
\(588\) 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 −0.938092 0.346385i \(-0.887409\pi\)
0.601903 0.798569i \(-0.294409\pi\)
\(594\) −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 0.0816749 0.996659i \(-0.473973\pi\)
−0.202425 + 0.979298i \(0.564882\pi\)
\(602\) 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 −0.825010 0.565119i \(-0.808830\pi\)
0.999568 0.0293742i \(-0.00935145\pi\)
\(608\) 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 −0.494984 0.868902i \(-0.664826\pi\)
−0.230135 + 0.973159i \(0.573917\pi\)
\(614\) −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 0.0640694 0.997945i \(-0.479592\pi\)
−0.712240 + 0.701936i \(0.752319\pi\)
\(618\) 13.7555 + 1.97774i 0.553326 + 0.0795563i
\(619\) −14.6033 + 9.38496i −0.586956 + 0.377213i −0.800153 0.599796i \(-0.795249\pi\)
0.213198 + 0.977009i \(0.431612\pi\)
\(620\) 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 0.906146 0.422965i \(-0.139011\pi\)
−0.289702 + 0.957117i \(0.593556\pi\)
\(632\) 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 −0.488849 0.872368i \(-0.662583\pi\)
−0.714822 + 0.699307i \(0.753492\pi\)
\(642\) 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 −0.136699 0.990613i \(-0.543649\pi\)
−0.410249 + 0.911973i \(0.634558\pi\)
\(648\) 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 0.957941 0.286964i \(-0.0926460\pi\)
0.650727 + 0.759312i \(0.274464\pi\)
\(654\) 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 −0.587394 0.809301i \(-0.699846\pi\)
−0.335594 + 0.942007i \(0.608937\pi\)
\(660\) 3.45493 + 3.98721i 0.134483 + 0.155202i
\(661\) −15.1356 33.1423i −0.588706 1.28909i −0.936221 0.351413i \(-0.885701\pi\)
0.347514 0.937675i \(-0.387026\pi\)
\(662\) 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 0.970543 0.240927i \(-0.0774513\pi\)
−0.817651 + 0.575714i \(0.804724\pi\)
\(674\) 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 −0.902607 0.430466i \(-0.858349\pi\)
0.554539 + 0.832158i \(0.312895\pi\)
\(678\) 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 0.966350 + 0.257230i \(0.0828097\pi\)
0.117086 + 0.993122i \(0.462645\pi\)
\(684\) 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 \(0.0789568\pi\)
−0.969393 + 0.245514i \(0.921043\pi\)
\(692\) 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 −0.256837 0.966455i \(-0.582680\pi\)
0.985812 0.167853i \(-0.0536833\pi\)
\(702\) 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 −0.362727 0.931895i \(-0.618154\pi\)
−0.941815 + 0.336131i \(0.890882\pi\)
\(710\) 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 0.0182509 0.999833i \(-0.494190\pi\)
0.767575 + 0.640959i \(0.221463\pi\)
\(720\) 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 0.725324 0.688408i \(-0.241690\pi\)
0.238000 + 0.971265i \(0.423508\pi\)
\(728\) 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 0.830726 + 0.556681i \(0.187926\pi\)
−0.953911 + 0.300089i \(0.902984\pi\)
\(734\) 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 −0.311380 0.950286i \(-0.600791\pi\)
0.566493 0.824066i \(-0.308300\pi\)
\(740\) −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 −0.839007 0.544121i \(-0.816863\pi\)
0.419180 + 0.907903i \(0.362318\pi\)
\(744\) 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 0.0313762 0.999508i \(-0.490011\pi\)
0.311699 + 0.950181i \(0.399102\pi\)
\(752\) 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 −0.962939 0.269719i \(-0.913069\pi\)
0.154674 0.987966i \(-0.450567\pi\)
\(758\) 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 0.832164 0.554530i \(-0.187102\pi\)
−0.850112 + 0.526603i \(0.823466\pi\)
\(762\) −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 −0.0721486 0.997394i \(-0.522986\pi\)
0.997510 0.0705298i \(-0.0224690\pi\)
\(770\) 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 + 0.0299277i 0.00366596 + 0.00107642i 0.2835