Properties

Label 570.2.bi.a.557.33
Level $570$
Weight $2$
Character 570.557
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 557.33
Character \(\chi\) \(=\) 570.557
Dual form 570.2.bi.a.263.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871557 - 0.996195i) q^{2} +(0.451960 + 1.67204i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.03553 - 1.98184i) q^{5} +(1.70507 - 0.304512i) q^{6} +(-4.18155 + 1.12044i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-2.59146 + 1.51139i) q^{9} +O(q^{10})\) \(q+(0.0871557 - 0.996195i) q^{2} +(0.451960 + 1.67204i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.03553 - 1.98184i) q^{5} +(1.70507 - 0.304512i) q^{6} +(-4.18155 + 1.12044i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(-2.59146 + 1.51139i) q^{9} +(-1.88404 - 1.20432i) q^{10} +(-4.96913 + 2.86893i) q^{11} +(-0.154746 - 1.72512i) q^{12} +(0.780821 - 1.67448i) q^{13} +(0.751733 + 4.26329i) q^{14} +(3.78174 + 0.835739i) q^{15} +(0.939693 + 0.342020i) q^{16} +(-0.558311 + 6.38153i) q^{17} +(1.27978 + 2.71333i) q^{18} +(1.95325 + 3.89677i) q^{19} +(-1.36394 + 1.77191i) q^{20} +(-3.76333 - 6.48534i) q^{21} +(2.42492 + 5.20026i) q^{22} +(-2.19536 + 1.53721i) q^{23} +(-1.73205 + 0.00380298i) q^{24} +(-2.85536 - 4.10450i) q^{25} +(-1.60005 - 0.923790i) q^{26} +(-3.69836 - 3.64995i) q^{27} +(4.31259 - 0.377302i) q^{28} +(2.66459 + 2.23586i) q^{29} +(1.16216 - 3.69451i) q^{30} +(2.65756 - 4.60303i) q^{31} +(0.422618 - 0.906308i) q^{32} +(-7.04282 - 7.01196i) q^{33} +(6.30858 + 1.11237i) q^{34} +(-2.10958 + 9.44741i) q^{35} +(2.81454 - 1.03843i) q^{36} +(-8.23577 - 8.23577i) q^{37} +(4.05218 - 1.60619i) q^{38} +(3.15270 + 0.548771i) q^{39} +(1.64629 + 1.51318i) q^{40} +(-0.162541 + 0.446577i) q^{41} +(-6.78866 + 3.18377i) q^{42} +(5.50653 + 3.85571i) q^{43} +(5.39182 - 1.96246i) q^{44} +(0.311802 + 6.70095i) q^{45} +(1.34002 + 2.32098i) q^{46} +(-6.16322 + 0.539212i) q^{47} +(-0.147169 + 1.72579i) q^{48} +(10.1678 - 5.87038i) q^{49} +(-4.33774 + 2.48676i) q^{50} +(-10.9225 + 1.95067i) q^{51} +(-1.05973 + 1.51345i) q^{52} +(1.20726 - 0.845332i) q^{53} +(-3.95840 + 3.36617i) q^{54} +(0.540072 + 12.8189i) q^{55} -4.32906i q^{56} +(-5.63279 + 5.02710i) q^{57} +(2.45959 - 2.45959i) q^{58} +(-3.96585 + 3.32774i) q^{59} +(-3.57916 - 1.47973i) q^{60} +(-0.779666 + 4.42171i) q^{61} +(-4.35390 - 3.04863i) q^{62} +(9.14291 - 9.22356i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-2.50998 - 3.28143i) q^{65} +(-7.59910 + 6.40489i) q^{66} +(0.345971 + 3.95447i) q^{67} +(1.65797 - 6.18763i) q^{68} +(-3.56249 - 2.97598i) q^{69} +(9.22759 + 2.92495i) q^{70} +(5.70504 - 1.00595i) q^{71} +(-0.789175 - 2.89434i) q^{72} +(-5.76690 + 2.68915i) q^{73} +(-8.92222 + 7.48663i) q^{74} +(5.57240 - 6.62936i) q^{75} +(-1.24690 - 4.17675i) q^{76} +(17.5642 - 17.5642i) q^{77} +(0.821459 - 3.09287i) q^{78} +(3.07863 - 8.45846i) q^{79} +(1.65091 - 1.50815i) q^{80} +(4.43137 - 7.83345i) q^{81} +(0.430711 + 0.200844i) q^{82} +(-13.4324 + 3.59919i) q^{83} +(2.57998 + 7.04031i) q^{84} +(12.0690 + 7.71474i) q^{85} +(4.32097 - 5.14953i) q^{86} +(-2.53417 + 5.46584i) q^{87} +(-1.48507 - 5.54234i) q^{88} +(2.01641 - 0.733912i) q^{89} +(6.70263 + 0.273411i) q^{90} +(-1.38889 + 7.87677i) q^{91} +(2.42894 - 1.13263i) q^{92} +(8.89759 + 2.36318i) q^{93} +6.18676i q^{94} +(9.74541 + 0.164205i) q^{95} +(1.70639 + 0.297022i) q^{96} +(3.57894 + 0.313117i) q^{97} +(-4.96186 - 10.6407i) q^{98} +(8.54124 - 14.9450i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871557 0.996195i 0.0616284 0.704416i
\(3\) 0.451960 + 1.67204i 0.260939 + 0.965355i
\(4\) −0.984808 0.173648i −0.492404 0.0868241i
\(5\) 1.03553 1.98184i 0.463103 0.886305i
\(6\) 1.70507 0.304512i 0.696093 0.124316i
\(7\) −4.18155 + 1.12044i −1.58048 + 0.423488i −0.939074 0.343715i \(-0.888314\pi\)
−0.641404 + 0.767203i \(0.721648\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) −2.59146 + 1.51139i −0.863821 + 0.503798i
\(10\) −1.88404 1.20432i −0.595787 0.380838i
\(11\) −4.96913 + 2.86893i −1.49825 + 0.865014i −0.999998 0.00201896i \(-0.999357\pi\)
−0.498251 + 0.867033i \(0.666024\pi\)
\(12\) −0.154746 1.72512i −0.0446714 0.498000i
\(13\) 0.780821 1.67448i 0.216561 0.464416i −0.767775 0.640719i \(-0.778636\pi\)
0.984336 + 0.176303i \(0.0564140\pi\)
\(14\) 0.751733 + 4.26329i 0.200909 + 1.13941i
\(15\) 3.78174 + 0.835739i 0.976440 + 0.215787i
\(16\) 0.939693 + 0.342020i 0.234923 + 0.0855050i
\(17\) −0.558311 + 6.38153i −0.135410 + 1.54775i 0.559609 + 0.828757i \(0.310951\pi\)
−0.695019 + 0.718991i \(0.744604\pi\)
\(18\) 1.27978 + 2.71333i 0.301648 + 0.639538i
\(19\) 1.95325 + 3.89677i 0.448105 + 0.893981i
\(20\) −1.36394 + 1.77191i −0.304986 + 0.396211i
\(21\) −3.76333 6.48534i −0.821225 1.41522i
\(22\) 2.42492 + 5.20026i 0.516995 + 1.10870i
\(23\) −2.19536 + 1.53721i −0.457764 + 0.320530i −0.779613 0.626261i \(-0.784584\pi\)
0.321850 + 0.946791i \(0.395695\pi\)
\(24\) −1.73205 + 0.00380298i −0.353553 + 0.000776279i
\(25\) −2.85536 4.10450i −0.571072 0.820900i
\(26\) −1.60005 0.923790i −0.313796 0.181170i
\(27\) −3.69836 3.64995i −0.711749 0.702434i
\(28\) 4.31259 0.377302i 0.815002 0.0713035i
\(29\) 2.66459 + 2.23586i 0.494803 + 0.415189i 0.855744 0.517400i \(-0.173100\pi\)
−0.360941 + 0.932589i \(0.617544\pi\)
\(30\) 1.16216 3.69451i 0.212180 0.674522i
\(31\) 2.65756 4.60303i 0.477312 0.826729i −0.522350 0.852731i \(-0.674944\pi\)
0.999662 + 0.0260022i \(0.00827770\pi\)
\(32\) 0.422618 0.906308i 0.0747091 0.160214i
\(33\) −7.04282 7.01196i −1.22600 1.22063i
\(34\) 6.30858 + 1.11237i 1.08191 + 0.190771i
\(35\) −2.10958 + 9.44741i −0.356584 + 1.59690i
\(36\) 2.81454 1.03843i 0.469091 0.173072i
\(37\) −8.23577 8.23577i −1.35395 1.35395i −0.881190 0.472761i \(-0.843257\pi\)
−0.472761 0.881190i \(-0.656743\pi\)
\(38\) 4.05218 1.60619i 0.657350 0.260558i
\(39\) 3.15270 + 0.548771i 0.504836 + 0.0878737i
\(40\) 1.64629 + 1.51318i 0.260302 + 0.239255i
\(41\) −0.162541 + 0.446577i −0.0253846 + 0.0697436i −0.951738 0.306913i \(-0.900704\pi\)
0.926353 + 0.376656i \(0.122926\pi\)
\(42\) −6.78866 + 3.18377i −1.04751 + 0.491266i
\(43\) 5.50653 + 3.85571i 0.839738 + 0.587991i 0.912369 0.409368i \(-0.134251\pi\)
−0.0726316 + 0.997359i \(0.523140\pi\)
\(44\) 5.39182 1.96246i 0.812847 0.295852i
\(45\) 0.311802 + 6.70095i 0.0464807 + 0.998919i
\(46\) 1.34002 + 2.32098i 0.197575 + 0.342210i
\(47\) −6.16322 + 0.539212i −0.898998 + 0.0786522i −0.527278 0.849693i \(-0.676787\pi\)
−0.371720 + 0.928345i \(0.621232\pi\)
\(48\) −0.147169 + 1.72579i −0.0212421 + 0.249096i
\(49\) 10.1678 5.87038i 1.45254 0.838626i
\(50\) −4.33774 + 2.48676i −0.613449 + 0.351681i
\(51\) −10.9225 + 1.95067i −1.52946 + 0.273149i
\(52\) −1.05973 + 1.51345i −0.146958 + 0.209878i
\(53\) 1.20726 0.845332i 0.165830 0.116115i −0.487716 0.873003i \(-0.662170\pi\)
0.653545 + 0.756887i \(0.273281\pi\)
\(54\) −3.95840 + 3.36617i −0.538670 + 0.458078i
\(55\) 0.540072 + 12.8189i 0.0728233 + 1.72849i
\(56\) 4.32906i 0.578495i
\(57\) −5.63279 + 5.02710i −0.746081 + 0.665855i
\(58\) 2.45959 2.45959i 0.322959 0.322959i
\(59\) −3.96585 + 3.32774i −0.516310 + 0.433235i −0.863343 0.504618i \(-0.831633\pi\)
0.347033 + 0.937853i \(0.387189\pi\)
\(60\) −3.57916 1.47973i −0.462068 0.191033i
\(61\) −0.779666 + 4.42171i −0.0998260 + 0.566141i 0.893335 + 0.449391i \(0.148359\pi\)
−0.993161 + 0.116751i \(0.962752\pi\)
\(62\) −4.35390 3.04863i −0.552945 0.387176i
\(63\) 9.14291 9.22356i 1.15190 1.16206i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −2.50998 3.28143i −0.311324 0.407011i
\(66\) −7.59910 + 6.40489i −0.935385 + 0.788387i
\(67\) 0.345971 + 3.95447i 0.0422671 + 0.483115i 0.987598 + 0.157003i \(0.0501832\pi\)
−0.945331 + 0.326112i \(0.894261\pi\)
\(68\) 1.65797 6.18763i 0.201058 0.750360i
\(69\) −3.56249 2.97598i −0.428873 0.358266i
\(70\) 9.22759 + 2.92495i 1.10291 + 0.349598i
\(71\) 5.70504 1.00595i 0.677064 0.119385i 0.175466 0.984486i \(-0.443857\pi\)
0.501598 + 0.865101i \(0.332746\pi\)
\(72\) −0.789175 2.89434i −0.0930051 0.341101i
\(73\) −5.76690 + 2.68915i −0.674965 + 0.314741i −0.729708 0.683759i \(-0.760344\pi\)
0.0547430 + 0.998500i \(0.482566\pi\)
\(74\) −8.92222 + 7.48663i −1.03719 + 0.870304i
\(75\) 5.57240 6.62936i 0.643445 0.765492i
\(76\) −1.24690 4.17675i −0.143030 0.479106i
\(77\) 17.5642 17.5642i 2.00163 2.00163i
\(78\) 0.821459 3.09287i 0.0930119 0.350199i
\(79\) 3.07863 8.45846i 0.346372 0.951651i −0.637130 0.770756i \(-0.719879\pi\)
0.983503 0.180894i \(-0.0578992\pi\)
\(80\) 1.65091 1.50815i 0.184577 0.168616i
\(81\) 4.43137 7.83345i 0.492375 0.870383i
\(82\) 0.430711 + 0.200844i 0.0475641 + 0.0221795i
\(83\) −13.4324 + 3.59919i −1.47439 + 0.395063i −0.904435 0.426610i \(-0.859708\pi\)
−0.569959 + 0.821673i \(0.693041\pi\)
\(84\) 2.57998 + 7.04031i 0.281499 + 0.768161i
\(85\) 12.0690 + 7.71474i 1.30907 + 0.836781i
\(86\) 4.32097 5.14953i 0.465942 0.555288i
\(87\) −2.53417 + 5.46584i −0.271691 + 0.585999i
\(88\) −1.48507 5.54234i −0.158309 0.590816i
\(89\) 2.01641 0.733912i 0.213739 0.0777945i −0.232932 0.972493i \(-0.574832\pi\)
0.446670 + 0.894699i \(0.352610\pi\)
\(90\) 6.70263 + 0.273411i 0.706519 + 0.0288200i
\(91\) −1.38889 + 7.87677i −0.145595 + 0.825710i
\(92\) 2.42894 1.13263i 0.253234 0.118085i
\(93\) 8.89759 + 2.36318i 0.922637 + 0.245050i
\(94\) 6.18676i 0.638116i
\(95\) 9.74541 + 0.164205i 0.999858 + 0.0168471i
\(96\) 1.70639 + 0.297022i 0.174158 + 0.0303146i
\(97\) 3.57894 + 0.313117i 0.363387 + 0.0317922i 0.267387 0.963589i \(-0.413840\pi\)
0.0959995 + 0.995381i \(0.469395\pi\)
\(98\) −4.96186 10.6407i −0.501224 1.07488i
\(99\) 8.54124 14.9450i 0.858427 1.50203i
\(100\) 2.09924 + 4.53797i 0.209924 + 0.453797i
\(101\) −0.420493 1.15529i −0.0418406 0.114956i 0.917013 0.398858i \(-0.130593\pi\)
−0.958853 + 0.283902i \(0.908371\pi\)
\(102\) 0.991290 + 11.0510i 0.0981524 + 1.09421i
\(103\) −0.934320 0.250350i −0.0920613 0.0246677i 0.212494 0.977162i \(-0.431841\pi\)
−0.304556 + 0.952495i \(0.598508\pi\)
\(104\) 1.41533 + 1.18760i 0.138784 + 0.116454i
\(105\) −16.7499 + 0.742538i −1.63463 + 0.0724643i
\(106\) −0.736896 1.27634i −0.0715737 0.123969i
\(107\) 2.90550 + 10.8435i 0.280885 + 1.04828i 0.951794 + 0.306737i \(0.0992373\pi\)
−0.670909 + 0.741539i \(0.734096\pi\)
\(108\) 3.00836 + 4.23671i 0.289480 + 0.407678i
\(109\) 2.90627 0.512454i 0.278370 0.0490842i −0.0327200 0.999465i \(-0.510417\pi\)
0.311090 + 0.950380i \(0.399306\pi\)
\(110\) 12.8172 + 0.579220i 1.22207 + 0.0552265i
\(111\) 10.0483 17.4928i 0.953745 1.66034i
\(112\) −4.31259 0.377302i −0.407501 0.0356517i
\(113\) 3.69652 + 3.69652i 0.347739 + 0.347739i 0.859267 0.511528i \(-0.170920\pi\)
−0.511528 + 0.859267i \(0.670920\pi\)
\(114\) 4.51704 + 6.04949i 0.423059 + 0.566587i
\(115\) 0.773136 + 5.94266i 0.0720953 + 0.554156i
\(116\) −2.23586 2.66459i −0.207594 0.247401i
\(117\) 0.507324 + 5.51947i 0.0469021 + 0.510276i
\(118\) 2.96943 + 4.24079i 0.273358 + 0.390396i
\(119\) −4.81553 27.3102i −0.441439 2.50353i
\(120\) −1.78605 + 3.43657i −0.163043 + 0.313715i
\(121\) 10.9615 18.9859i 0.996499 1.72599i
\(122\) 4.33693 + 1.16208i 0.392647 + 0.105209i
\(123\) −0.820159 0.0699404i −0.0739512 0.00630631i
\(124\) −3.41650 + 4.07162i −0.306810 + 0.365642i
\(125\) −11.0913 + 1.40853i −0.992032 + 0.125983i
\(126\) −8.39161 9.91200i −0.747584 0.883031i
\(127\) −9.12685 4.25592i −0.809877 0.377652i −0.0268499 0.999639i \(-0.508548\pi\)
−0.783027 + 0.621988i \(0.786325\pi\)
\(128\) −0.573576 + 0.819152i −0.0506975 + 0.0724035i
\(129\) −3.95819 + 10.9498i −0.348499 + 0.964075i
\(130\) −3.48770 + 2.21443i −0.305892 + 0.194218i
\(131\) 5.24210 + 6.24729i 0.458004 + 0.545828i 0.944783 0.327697i \(-0.106273\pi\)
−0.486779 + 0.873525i \(0.661828\pi\)
\(132\) 5.71821 + 8.12841i 0.497706 + 0.707487i
\(133\) −12.5337 14.1061i −1.08681 1.22315i
\(134\) 3.96957 0.342919
\(135\) −11.0634 + 3.54991i −0.952183 + 0.305528i
\(136\) −6.01958 2.19095i −0.516175 0.187872i
\(137\) 5.52683 + 7.89314i 0.472189 + 0.674356i 0.982634 0.185554i \(-0.0594081\pi\)
−0.510445 + 0.859911i \(0.670519\pi\)
\(138\) −3.27515 + 3.28956i −0.278799 + 0.280026i
\(139\) −3.97433 10.9194i −0.337098 0.926169i −0.986213 0.165479i \(-0.947083\pi\)
0.649115 0.760690i \(-0.275139\pi\)
\(140\) 3.71806 8.93755i 0.314233 0.755361i
\(141\) −3.68712 10.0615i −0.310511 0.847329i
\(142\) −0.504898 5.77101i −0.0423701 0.484292i
\(143\) 0.923951 + 10.5608i 0.0772646 + 0.883139i
\(144\) −2.95211 + 0.533913i −0.246009 + 0.0444928i
\(145\) 7.19037 2.96549i 0.597128 0.246271i
\(146\) 2.17630 + 5.97933i 0.180112 + 0.494853i
\(147\) 14.4110 + 14.3478i 1.18860 + 1.18339i
\(148\) 6.68052 + 9.54077i 0.549136 + 0.784247i
\(149\) −1.76111 0.640992i −0.144276 0.0525121i 0.268873 0.963176i \(-0.413349\pi\)
−0.413149 + 0.910664i \(0.635571\pi\)
\(150\) −6.11846 6.12898i −0.499571 0.500429i
\(151\) 9.20162 0.748817 0.374409 0.927264i \(-0.377846\pi\)
0.374409 + 0.927264i \(0.377846\pi\)
\(152\) −4.26953 + 0.878131i −0.346305 + 0.0712258i
\(153\) −8.19816 17.3813i −0.662782 1.40520i
\(154\) −15.9665 19.0282i −1.28662 1.53333i
\(155\) −6.37048 10.0334i −0.511689 0.805905i
\(156\) −3.00951 1.08789i −0.240954 0.0871013i
\(157\) −4.89486 + 6.99058i −0.390652 + 0.557909i −0.965517 0.260339i \(-0.916166\pi\)
0.574865 + 0.818248i \(0.305054\pi\)
\(158\) −8.15795 3.80411i −0.649012 0.302639i
\(159\) 1.95907 + 1.63654i 0.155364 + 0.129786i
\(160\) −1.35852 1.77607i −0.107401 0.140411i
\(161\) 7.45765 8.88768i 0.587745 0.700447i
\(162\) −7.41742 5.09724i −0.582768 0.400477i
\(163\) −7.32136 1.96175i −0.573454 0.153656i −0.0395735 0.999217i \(-0.512600\pi\)
−0.533880 + 0.845560i \(0.679267\pi\)
\(164\) 0.237619 0.411568i 0.0185549 0.0321380i
\(165\) −21.1896 + 6.69664i −1.64961 + 0.521333i
\(166\) 2.41479 + 13.6949i 0.187424 + 1.06293i
\(167\) −4.40904 6.29676i −0.341182 0.487258i 0.611493 0.791250i \(-0.290569\pi\)
−0.952675 + 0.303992i \(0.901680\pi\)
\(168\) 7.23838 1.95656i 0.558453 0.150952i
\(169\) 6.16205 + 7.34365i 0.474004 + 0.564896i
\(170\) 8.73727 11.3507i 0.670118 0.870559i
\(171\) −10.9513 7.14622i −0.837469 0.546485i
\(172\) −4.75333 4.75333i −0.362438 0.362438i
\(173\) 16.6027 + 1.45255i 1.26228 + 0.110435i 0.698573 0.715539i \(-0.253819\pi\)
0.563708 + 0.825974i \(0.309374\pi\)
\(174\) 5.22417 + 3.00090i 0.396043 + 0.227498i
\(175\) 16.5387 + 13.9639i 1.25021 + 1.05557i
\(176\) −5.65068 + 0.996368i −0.425936 + 0.0751041i
\(177\) −7.35654 5.12707i −0.552951 0.385374i
\(178\) −0.555378 2.07270i −0.0416273 0.155355i
\(179\) 8.71080 + 15.0875i 0.651076 + 1.12770i 0.982862 + 0.184342i \(0.0590153\pi\)
−0.331787 + 0.943354i \(0.607651\pi\)
\(180\) 0.856543 6.65329i 0.0638430 0.495907i
\(181\) 3.81682 + 3.20269i 0.283702 + 0.238054i 0.773522 0.633769i \(-0.218493\pi\)
−0.489820 + 0.871823i \(0.662938\pi\)
\(182\) 7.72575 + 2.07011i 0.572671 + 0.153447i
\(183\) −7.74567 + 0.694798i −0.572576 + 0.0513610i
\(184\) −0.916627 2.51841i −0.0675746 0.185660i
\(185\) −24.8503 + 7.79358i −1.82703 + 0.572995i
\(186\) 3.12966 8.65777i 0.229478 0.634818i
\(187\) −15.5338 33.3124i −1.13595 2.43604i
\(188\) 6.16322 + 0.539212i 0.449499 + 0.0393261i
\(189\) 19.5544 + 11.1187i 1.42238 + 0.808764i
\(190\) 1.01295 9.69402i 0.0734870 0.703278i
\(191\) 23.1875i 1.67779i 0.544293 + 0.838895i \(0.316798\pi\)
−0.544293 + 0.838895i \(0.683202\pi\)
\(192\) 0.444613 1.67401i 0.0320872 0.120811i
\(193\) −13.2667 + 6.18636i −0.954958 + 0.445304i −0.836690 0.547677i \(-0.815512\pi\)
−0.118268 + 0.992982i \(0.537734\pi\)
\(194\) 0.623851 3.53804i 0.0447899 0.254016i
\(195\) 4.35229 5.67987i 0.311674 0.406744i
\(196\) −11.0327 + 4.01558i −0.788051 + 0.286827i
\(197\) 2.05176 + 7.65728i 0.146182 + 0.545559i 0.999700 + 0.0244952i \(0.00779784\pi\)
−0.853518 + 0.521063i \(0.825535\pi\)
\(198\) −14.1437 9.81128i −1.00515 0.697257i
\(199\) −17.0595 + 20.3307i −1.20932 + 1.44121i −0.344746 + 0.938696i \(0.612035\pi\)
−0.864571 + 0.502512i \(0.832409\pi\)
\(200\) 4.70366 1.69574i 0.332599 0.119907i
\(201\) −6.45568 + 2.36574i −0.455349 + 0.166866i
\(202\) −1.18755 + 0.318202i −0.0835554 + 0.0223886i
\(203\) −13.6473 6.36383i −0.957852 0.446654i
\(204\) 11.0953 0.0243615i 0.776828 0.00170565i
\(205\) 0.716728 + 0.784573i 0.0500584 + 0.0547969i
\(206\) −0.330829 + 0.908945i −0.0230499 + 0.0633292i
\(207\) 3.36587 7.30167i 0.233944 0.507501i
\(208\) 1.30644 1.30644i 0.0905851 0.0905851i
\(209\) −20.8855 13.7598i −1.44468 0.951788i
\(210\) −0.720140 + 16.7509i −0.0496944 + 1.15592i
\(211\) 17.4948 14.6799i 1.20439 1.01060i 0.204897 0.978784i \(-0.434314\pi\)
0.999494 0.0318197i \(-0.0101302\pi\)
\(212\) −1.33571 + 0.622851i −0.0917369 + 0.0427776i
\(213\) 4.26045 + 9.08443i 0.291921 + 0.622455i
\(214\) 11.0554 1.94937i 0.755733 0.133256i
\(215\) 13.3436 6.92034i 0.910024 0.471963i
\(216\) 4.48279 2.62766i 0.305015 0.178790i
\(217\) −5.95530 + 22.2255i −0.404272 + 1.50876i
\(218\) −0.257206 2.93987i −0.0174202 0.199113i
\(219\) −7.10279 8.42712i −0.479962 0.569452i
\(220\) 1.69410 12.7179i 0.114217 0.857440i
\(221\) 10.2498 + 5.91771i 0.689475 + 0.398068i
\(222\) −16.5505 11.5347i −1.11079 0.774158i
\(223\) 7.22811 + 5.06118i 0.484030 + 0.338922i 0.789987 0.613124i \(-0.210087\pi\)
−0.305957 + 0.952045i \(0.598976\pi\)
\(224\) −0.751733 + 4.26329i −0.0502273 + 0.284853i
\(225\) 13.6031 + 6.32109i 0.906872 + 0.421406i
\(226\) 4.00462 3.36028i 0.266383 0.223522i
\(227\) −1.81032 + 1.81032i −0.120155 + 0.120155i −0.764627 0.644473i \(-0.777077\pi\)
0.644473 + 0.764627i \(0.277077\pi\)
\(228\) 6.42016 3.97260i 0.425185 0.263092i
\(229\) 8.96545i 0.592453i 0.955118 + 0.296227i \(0.0957284\pi\)
−0.955118 + 0.296227i \(0.904272\pi\)
\(230\) 5.98743 0.252257i 0.394800 0.0166333i
\(231\) 37.3064 + 21.4298i 2.45458 + 1.40998i
\(232\) −2.84932 + 1.99512i −0.187067 + 0.130986i
\(233\) 0.163369 0.233314i 0.0107026 0.0152849i −0.813765 0.581194i \(-0.802586\pi\)
0.824468 + 0.565909i \(0.191475\pi\)
\(234\) 5.54269 0.0243398i 0.362337 0.00159114i
\(235\) −5.31356 + 12.7729i −0.346619 + 0.833210i
\(236\) 4.48345 2.58852i 0.291848 0.168499i
\(237\) 15.5343 + 1.32472i 1.00906 + 0.0860495i
\(238\) −27.6260 + 2.41696i −1.79073 + 0.156668i
\(239\) −4.87382 8.44171i −0.315261 0.546049i 0.664232 0.747527i \(-0.268759\pi\)
−0.979493 + 0.201478i \(0.935425\pi\)
\(240\) 3.26783 + 2.07877i 0.210938 + 0.134184i
\(241\) 16.1551 5.87996i 1.04064 0.378762i 0.235517 0.971870i \(-0.424322\pi\)
0.805123 + 0.593108i \(0.202099\pi\)
\(242\) −17.9583 12.5745i −1.15440 0.808320i
\(243\) 15.1007 + 3.86905i 0.968709 + 0.248199i
\(244\) 1.53564 4.21914i 0.0983094 0.270103i
\(245\) −1.10509 26.2299i −0.0706018 1.67577i
\(246\) −0.141156 + 0.810942i −0.00899976 + 0.0517038i
\(247\) 8.05019 0.227981i 0.512221 0.0145061i
\(248\) 3.75836 + 3.75836i 0.238656 + 0.238656i
\(249\) −12.0889 20.8328i −0.766103 1.32023i
\(250\) 0.436504 + 11.1718i 0.0276069 + 0.706568i
\(251\) 25.2710 + 4.45595i 1.59509 + 0.281257i 0.899413 0.437099i \(-0.143994\pi\)
0.695675 + 0.718357i \(0.255105\pi\)
\(252\) −10.6057 + 7.49579i −0.668094 + 0.472190i
\(253\) 6.49888 13.9369i 0.408581 0.876205i
\(254\) −5.03518 + 8.72119i −0.315935 + 0.547216i
\(255\) −7.44468 + 23.6667i −0.466204 + 1.48206i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −25.3092 + 2.21427i −1.57874 + 0.138122i −0.842538 0.538636i \(-0.818940\pi\)
−0.736205 + 0.676758i \(0.763384\pi\)
\(258\) 10.5631 + 4.89747i 0.657632 + 0.304903i
\(259\) 43.6660 + 25.2106i 2.71327 + 1.56651i
\(260\) 1.90203 + 3.66743i 0.117959 + 0.227444i
\(261\) −10.2845 1.76690i −0.636592 0.109368i
\(262\) 6.68039 4.67766i 0.412716 0.288987i
\(263\) −3.37202 7.23132i −0.207928 0.445902i 0.774493 0.632582i \(-0.218005\pi\)
−0.982421 + 0.186680i \(0.940227\pi\)
\(264\) 8.59585 4.98801i 0.529038 0.306991i
\(265\) −0.425159 3.26796i −0.0261173 0.200749i
\(266\) −15.1448 + 11.2566i −0.928585 + 0.690186i
\(267\) 2.13847 + 3.03982i 0.130872 + 0.186034i
\(268\) 0.345971 3.95447i 0.0211335 0.241558i
\(269\) −11.6295 4.23281i −0.709065 0.258079i −0.0377889 0.999286i \(-0.512031\pi\)
−0.671276 + 0.741207i \(0.734254\pi\)
\(270\) 2.57217 + 11.3307i 0.156537 + 0.689562i
\(271\) 2.46480 + 13.9786i 0.149726 + 0.849138i 0.963450 + 0.267887i \(0.0863253\pi\)
−0.813725 + 0.581251i \(0.802564\pi\)
\(272\) −2.70725 + 5.80572i −0.164151 + 0.352024i
\(273\) −13.7980 + 1.23771i −0.835095 + 0.0749093i
\(274\) 8.34480 4.81787i 0.504128 0.291058i
\(275\) 25.9642 + 12.2040i 1.56570 + 0.735927i
\(276\) 2.99159 + 3.54939i 0.180073 + 0.213648i
\(277\) −1.91348 + 7.14119i −0.114970 + 0.429072i −0.999285 0.0378183i \(-0.987959\pi\)
0.884315 + 0.466891i \(0.154626\pi\)
\(278\) −11.2242 + 3.00752i −0.673183 + 0.180379i
\(279\) 0.0700207 + 15.9452i 0.00419203 + 0.954615i
\(280\) −8.57949 4.48287i −0.512723 0.267903i
\(281\) −5.84390 1.03044i −0.348618 0.0614707i −0.00340247 0.999994i \(-0.501083\pi\)
−0.345215 + 0.938523i \(0.612194\pi\)
\(282\) −10.3445 + 2.79617i −0.616009 + 0.166510i
\(283\) 0.0504147 0.576242i 0.00299684 0.0342541i −0.994549 0.104270i \(-0.966749\pi\)
0.997546 + 0.0700158i \(0.0223050\pi\)
\(284\) −5.79305 −0.343754
\(285\) 4.12998 + 16.3690i 0.244639 + 0.969614i
\(286\) 10.6011 0.626859
\(287\) 0.179308 2.04950i 0.0105842 0.120978i
\(288\) 0.274588 + 2.98741i 0.0161803 + 0.176035i
\(289\) −23.6705 4.17374i −1.39238 0.245514i
\(290\) −2.32753 7.42147i −0.136677 0.435804i
\(291\) 1.09399 + 6.12567i 0.0641311 + 0.359093i
\(292\) 6.14625 1.64688i 0.359682 0.0963766i
\(293\) −8.50988 + 31.7593i −0.497152 + 1.85540i 0.0204719 + 0.999790i \(0.493483\pi\)
−0.517624 + 0.855608i \(0.673184\pi\)
\(294\) 15.5492 13.1056i 0.906850 0.764337i
\(295\) 2.48829 + 11.3056i 0.144874 + 0.658240i
\(296\) 10.0867 5.82357i 0.586278 0.338488i
\(297\) 28.8491 + 7.52677i 1.67399 + 0.436747i
\(298\) −0.792043 + 1.69854i −0.0458818 + 0.0983939i
\(299\) 0.859833 + 4.87636i 0.0497254 + 0.282007i
\(300\) −6.63892 + 5.56101i −0.383298 + 0.321065i
\(301\) −27.3459 9.95311i −1.57619 0.573688i
\(302\) 0.801974 9.16661i 0.0461484 0.527479i
\(303\) 1.74166 1.22523i 0.100056 0.0703876i
\(304\) 0.502676 + 4.32982i 0.0288304 + 0.248332i
\(305\) 7.95574 + 6.12398i 0.455544 + 0.350658i
\(306\) −18.0297 + 6.65208i −1.03069 + 0.380274i
\(307\) 5.86172 + 12.5705i 0.334546 + 0.717436i 0.999568 0.0293875i \(-0.00935569\pi\)
−0.665022 + 0.746824i \(0.731578\pi\)
\(308\) −20.3473 + 14.2474i −1.15940 + 0.811819i
\(309\) −0.00367854 1.67537i −0.000209265 0.0953086i
\(310\) −10.5505 + 5.47177i −0.599227 + 0.310776i
\(311\) −2.41507 1.39434i −0.136946 0.0790658i 0.429962 0.902847i \(-0.358527\pi\)
−0.566908 + 0.823781i \(0.691860\pi\)
\(312\) −1.34605 + 2.90324i −0.0762051 + 0.164364i
\(313\) 17.7402 1.55206i 1.00273 0.0877278i 0.426053 0.904698i \(-0.359904\pi\)
0.576680 + 0.816970i \(0.304348\pi\)
\(314\) 6.53736 + 5.48550i 0.368925 + 0.309565i
\(315\) −8.81186 27.6710i −0.496492 1.55909i
\(316\) −4.50065 + 7.79535i −0.253181 + 0.438523i
\(317\) 2.71601 5.82449i 0.152546 0.327136i −0.815152 0.579247i \(-0.803347\pi\)
0.967698 + 0.252110i \(0.0811246\pi\)
\(318\) 1.80105 1.80898i 0.100998 0.101442i
\(319\) −19.6552 3.46575i −1.10048 0.194045i
\(320\) −1.88771 + 1.19856i −0.105526 + 0.0670014i
\(321\) −16.8176 + 9.75893i −0.938665 + 0.544690i
\(322\) −8.20388 8.20388i −0.457185 0.457185i
\(323\) −25.9579 + 10.2891i −1.44434 + 0.572500i
\(324\) −5.72432 + 6.94494i −0.318018 + 0.385830i
\(325\) −9.10241 + 1.57635i −0.504911 + 0.0874403i
\(326\) −2.59239 + 7.12253i −0.143579 + 0.394480i
\(327\) 2.17036 + 4.62780i 0.120021 + 0.255918i
\(328\) −0.389292 0.272585i −0.0214950 0.0150510i
\(329\) 25.1677 9.16028i 1.38754 0.505023i
\(330\) 4.82436 + 21.6926i 0.265572 + 1.19414i
\(331\) −8.53744 14.7873i −0.469260 0.812782i 0.530122 0.847921i \(-0.322146\pi\)
−0.999382 + 0.0351388i \(0.988813\pi\)
\(332\) 13.8533 1.21201i 0.760298 0.0665175i
\(333\) 33.7902 + 8.89520i 1.85169 + 0.487454i
\(334\) −6.65708 + 3.84346i −0.364259 + 0.210305i
\(335\) 8.19538 + 3.40931i 0.447761 + 0.186270i
\(336\) −1.31825 7.38136i −0.0719165 0.402686i
\(337\) −14.9162 + 21.3025i −0.812534 + 1.16042i 0.171977 + 0.985101i \(0.444984\pi\)
−0.984512 + 0.175319i \(0.943904\pi\)
\(338\) 7.85276 5.49856i 0.427134 0.299082i
\(339\) −4.51006 + 7.85142i −0.244953 + 0.426430i
\(340\) −10.5460 9.69330i −0.571937 0.525693i
\(341\) 30.4974i 1.65153i
\(342\) −8.07350 + 10.2868i −0.436565 + 0.556247i
\(343\) −14.5120 + 14.5120i −0.783574 + 0.783574i
\(344\) −5.14953 + 4.32097i −0.277644 + 0.232971i
\(345\) −9.58697 + 3.97856i −0.516145 + 0.214199i
\(346\) 2.89404 16.4129i 0.155585 0.882365i
\(347\) −23.0166 16.1164i −1.23560 0.865173i −0.241156 0.970486i \(-0.577527\pi\)
−0.994439 + 0.105313i \(0.966416\pi\)
\(348\) 3.44480 4.94275i 0.184661 0.264959i
\(349\) −21.1823 12.2296i −1.13386 0.654636i −0.188959 0.981985i \(-0.560511\pi\)
−0.944904 + 0.327349i \(0.893845\pi\)
\(350\) 15.3522 15.2587i 0.820610 0.815613i
\(351\) −8.99951 + 3.34285i −0.480359 + 0.178428i
\(352\) 0.500087 + 5.71602i 0.0266547 + 0.304665i
\(353\) −0.661178 + 2.46755i −0.0351910 + 0.131334i −0.981287 0.192553i \(-0.938323\pi\)
0.946096 + 0.323887i \(0.104990\pi\)
\(354\) −5.74872 + 6.88169i −0.305541 + 0.365758i
\(355\) 3.91410 12.3482i 0.207739 0.655372i
\(356\) −2.11322 + 0.372617i −0.112000 + 0.0197487i
\(357\) 43.4875 20.3949i 2.30160 1.07941i
\(358\) 15.7893 7.36269i 0.834492 0.389130i
\(359\) 4.87609 4.09153i 0.257350 0.215943i −0.504979 0.863131i \(-0.668500\pi\)
0.762330 + 0.647189i \(0.224055\pi\)
\(360\) −6.55332 1.43316i −0.345391 0.0755340i
\(361\) −11.3697 + 15.2227i −0.598403 + 0.801195i
\(362\) 3.52316 3.52316i 0.185173 0.185173i
\(363\) 36.6993 + 9.74725i 1.92622 + 0.511598i
\(364\) 2.73557 7.51593i 0.143383 0.393942i
\(365\) −0.642334 + 14.2138i −0.0336213 + 0.743982i
\(366\) 0.0170750 + 7.77675i 0.000892527 + 0.406497i
\(367\) 9.20821 + 4.29386i 0.480665 + 0.224138i 0.647821 0.761793i \(-0.275681\pi\)
−0.167156 + 0.985930i \(0.553458\pi\)
\(368\) −2.58872 + 0.693645i −0.134946 + 0.0361587i
\(369\) −0.253736 1.40295i −0.0132089 0.0730348i
\(370\) 5.59807 + 25.4350i 0.291030 + 1.32230i
\(371\) −4.10107 + 4.88747i −0.212917 + 0.253745i
\(372\) −8.35205 3.87232i −0.433034 0.200771i
\(373\) −4.89053 18.2517i −0.253222 0.945037i −0.969071 0.246782i \(-0.920627\pi\)
0.715849 0.698255i \(-0.246040\pi\)
\(374\) −34.5395 + 12.5713i −1.78599 + 0.650049i
\(375\) −7.36793 17.9085i −0.380478 0.924790i
\(376\) 1.07432 6.09277i 0.0554038 0.314211i
\(377\) 5.82446 2.71599i 0.299975 0.139881i
\(378\) 12.7806 18.5110i 0.657365 0.952101i
\(379\) 24.2699i 1.24666i −0.781959 0.623330i \(-0.785779\pi\)
0.781959 0.623330i \(-0.214221\pi\)
\(380\) −9.56884 1.85398i −0.490871 0.0951073i
\(381\) 2.99111 17.1840i 0.153239 0.880363i
\(382\) 23.0993 + 2.02093i 1.18186 + 0.103400i
\(383\) −13.9623 29.9423i −0.713441 1.52998i −0.842709 0.538370i \(-0.819040\pi\)
0.129267 0.991610i \(-0.458737\pi\)
\(384\) −1.62889 0.588821i −0.0831241 0.0300482i
\(385\) −16.6211 52.9976i −0.847092 2.70101i
\(386\) 5.00655 + 13.7554i 0.254827 + 0.700131i
\(387\) −20.0975 1.66941i −1.02161 0.0848606i
\(388\) −3.47020 0.929837i −0.176173 0.0472053i
\(389\) 0.169649 + 0.142352i 0.00860154 + 0.00721755i 0.647078 0.762424i \(-0.275991\pi\)
−0.638477 + 0.769641i \(0.720435\pi\)
\(390\) −5.27893 4.83076i −0.267309 0.244615i
\(391\) −8.58403 14.8680i −0.434113 0.751906i
\(392\) 3.03873 + 11.3407i 0.153479 + 0.572792i
\(393\) −8.07652 + 11.5885i −0.407407 + 0.584564i
\(394\) 7.80696 1.37658i 0.393309 0.0693510i
\(395\) −13.5753 14.8603i −0.683046 0.747703i
\(396\) −11.0067 + 13.2348i −0.553105 + 0.665075i
\(397\) −6.46048 0.565219i −0.324242 0.0283675i −0.0761272 0.997098i \(-0.524256\pi\)
−0.248115 + 0.968731i \(0.579811\pi\)
\(398\) 18.7665 + 18.7665i 0.940681 + 0.940681i
\(399\) 17.9212 27.3323i 0.897183 1.36833i
\(400\) −1.27934 4.83356i −0.0639669 0.241678i
\(401\) −15.0680 17.9573i −0.752460 0.896747i 0.244886 0.969552i \(-0.421249\pi\)
−0.997346 + 0.0728050i \(0.976805\pi\)
\(402\) 1.79409 + 6.63730i 0.0894810 + 0.331039i
\(403\) −5.63259 8.04417i −0.280579 0.400709i
\(404\) 0.213490 + 1.21076i 0.0106215 + 0.0602376i
\(405\) −10.9358 16.8940i −0.543405 0.839471i
\(406\) −7.52906 + 13.0407i −0.373661 + 0.647200i
\(407\) 64.5524 + 17.2968i 3.19974 + 0.857369i
\(408\) 0.942753 11.0552i 0.0466732 0.547315i
\(409\) 12.4766 14.8691i 0.616929 0.735228i −0.363610 0.931551i \(-0.618456\pi\)
0.980539 + 0.196324i \(0.0629003\pi\)
\(410\) 0.844054 0.645620i 0.0416849 0.0318849i
\(411\) −10.6998 + 12.8085i −0.527781 + 0.631796i
\(412\) 0.876653 + 0.408790i 0.0431896 + 0.0201396i
\(413\) 12.8549 18.3586i 0.632546 0.903369i
\(414\) −6.98053 3.98944i −0.343074 0.196070i
\(415\) −6.77659 + 30.3478i −0.332650 + 1.48972i
\(416\) −1.18760 1.41533i −0.0582270 0.0693922i
\(417\) 16.4614 11.5804i 0.806120 0.567093i
\(418\) −15.5278 + 19.6068i −0.759488 + 0.958998i
\(419\) −24.2383 −1.18412 −0.592060 0.805894i \(-0.701685\pi\)
−0.592060 + 0.805894i \(0.701685\pi\)
\(420\) 16.6244 + 2.17734i 0.811188 + 0.106243i
\(421\) −11.6024 4.22294i −0.565469 0.205814i 0.0434374 0.999056i \(-0.486169\pi\)
−0.608906 + 0.793242i \(0.708391\pi\)
\(422\) −13.0992 18.7076i −0.637661 0.910674i
\(423\) 15.1568 10.7124i 0.736949 0.520855i
\(424\) 0.504067 + 1.38491i 0.0244796 + 0.0672572i
\(425\) 27.7872 15.9300i 1.34788 0.772717i
\(426\) 9.42118 3.45248i 0.456458 0.167273i
\(427\) −1.69406 19.3632i −0.0819812 0.937049i
\(428\) −0.978408 11.1833i −0.0472931 0.540563i
\(429\) −17.2405 + 6.31795i −0.832381 + 0.305033i
\(430\) −5.73104 13.8959i −0.276375 0.670122i
\(431\) 9.04007 + 24.8374i 0.435445 + 1.19637i 0.942425 + 0.334417i \(0.108539\pi\)
−0.506980 + 0.861958i \(0.669238\pi\)
\(432\) −2.22696 4.69475i −0.107145 0.225876i
\(433\) −1.81266 2.58875i −0.0871111 0.124408i 0.773231 0.634124i \(-0.218639\pi\)
−0.860342 + 0.509717i \(0.829750\pi\)
\(434\) 21.6219 + 7.86971i 1.03788 + 0.377758i
\(435\) 8.20820 + 10.6823i 0.393553 + 0.512179i
\(436\) −2.95110 −0.141332
\(437\) −10.2782 5.55227i −0.491674 0.265601i
\(438\) −9.01411 + 6.34129i −0.430711 + 0.302998i
\(439\) 9.46190 + 11.2763i 0.451592 + 0.538186i 0.943022 0.332731i \(-0.107970\pi\)
−0.491430 + 0.870917i \(0.663526\pi\)
\(440\) −12.5219 2.79610i −0.596956 0.133299i
\(441\) −17.4770 + 30.5804i −0.832239 + 1.45621i
\(442\) 6.78852 9.69501i 0.322897 0.461145i
\(443\) −1.23798 0.577282i −0.0588184 0.0274275i 0.392986 0.919544i \(-0.371442\pi\)
−0.451805 + 0.892117i \(0.649220\pi\)
\(444\) −12.9333 + 15.4822i −0.613786 + 0.734752i
\(445\) 0.633553 4.75618i 0.0300333 0.225464i
\(446\) 5.67189 6.75950i 0.268572 0.320071i
\(447\) 0.275815 3.23436i 0.0130456 0.152980i
\(448\) 4.18155 + 1.12044i 0.197560 + 0.0529360i
\(449\) −14.8814 + 25.7753i −0.702295 + 1.21641i 0.265364 + 0.964148i \(0.414508\pi\)
−0.967659 + 0.252262i \(0.918826\pi\)
\(450\) 7.48262 13.0004i 0.352734 0.612845i
\(451\) −0.473511 2.68542i −0.0222968 0.126451i
\(452\) −2.99846 4.28225i −0.141036 0.201420i
\(453\) 4.15877 + 15.3855i 0.195396 + 0.722875i
\(454\) 1.64565 + 1.96121i 0.0772341 + 0.0920440i
\(455\) 14.1723 + 10.9092i 0.664405 + 0.511430i
\(456\) −3.39793 6.74196i −0.159123 0.315721i
\(457\) 23.6439 + 23.6439i 1.10602 + 1.10602i 0.993669 + 0.112348i \(0.0358371\pi\)
0.112348 + 0.993669i \(0.464163\pi\)
\(458\) 8.93133 + 0.781390i 0.417334 + 0.0365120i
\(459\) 25.3571 21.5634i 1.18357 1.00649i
\(460\) 0.270542 5.98663i 0.0126141 0.279128i
\(461\) −6.32858 + 1.11590i −0.294751 + 0.0519726i −0.319068 0.947732i \(-0.603370\pi\)
0.0243172 + 0.999704i \(0.492259\pi\)
\(462\) 24.5997 35.2967i 1.14448 1.64215i
\(463\) 3.36396 + 12.5545i 0.156336 + 0.583455i 0.998987 + 0.0449949i \(0.0143272\pi\)
−0.842651 + 0.538460i \(0.819006\pi\)
\(464\) 1.73919 + 3.01237i 0.0807399 + 0.139846i
\(465\) 13.8971 15.1864i 0.644464 0.704254i
\(466\) −0.218188 0.183082i −0.0101074 0.00848109i
\(467\) −16.6234 4.45423i −0.769240 0.206117i −0.147205 0.989106i \(-0.547028\pi\)
−0.622036 + 0.782989i \(0.713694\pi\)
\(468\) 0.458830 5.52372i 0.0212094 0.255334i
\(469\) −5.87745 16.1482i −0.271396 0.745653i
\(470\) 12.2612 + 6.40657i 0.565565 + 0.295513i
\(471\) −13.9008 5.02495i −0.640517 0.231538i
\(472\) −2.18791 4.69200i −0.100707 0.215967i
\(473\) −38.4244 3.36170i −1.76676 0.154571i
\(474\) 2.67358 15.3598i 0.122802 0.705497i
\(475\) 10.4171 19.1438i 0.477969 0.878377i
\(476\) 27.7316i 1.27107i
\(477\) −1.85094 + 4.01529i −0.0847487 + 0.183848i
\(478\) −8.83436 + 4.11953i −0.404074 + 0.188423i
\(479\) −4.12640 + 23.4020i −0.188540 + 1.06926i 0.732782 + 0.680463i \(0.238221\pi\)
−0.921322 + 0.388800i \(0.872890\pi\)
\(480\) 2.35567 3.07422i 0.107521 0.140318i
\(481\) −20.2213 + 7.35994i −0.922010 + 0.335584i
\(482\) −4.44958 16.6061i −0.202673 0.756386i
\(483\) 18.2312 + 8.45264i 0.829546 + 0.384609i
\(484\) −14.0918 + 16.7940i −0.640537 + 0.763363i
\(485\) 4.32665 6.76864i 0.196463 0.307348i
\(486\) 5.17043 14.7060i 0.234536 0.667078i
\(487\) −27.3664 + 7.33281i −1.24009 + 0.332281i −0.818501 0.574505i \(-0.805195\pi\)
−0.421590 + 0.906787i \(0.638528\pi\)
\(488\) −4.06925 1.89752i −0.184206 0.0858968i
\(489\) −0.0288252 13.1283i −0.00130352 0.593681i
\(490\) −26.2264 1.18520i −1.18479 0.0535417i
\(491\) 5.89227 16.1889i 0.265914 0.730594i −0.732826 0.680416i \(-0.761799\pi\)
0.998740 0.0501778i \(-0.0159788\pi\)
\(492\) 0.795554 + 0.211297i 0.0358663 + 0.00952600i
\(493\) −15.7559 + 15.7559i −0.709609 + 0.709609i
\(494\) 0.474507 8.03942i 0.0213491 0.361711i
\(495\) −20.7739 32.4034i −0.933719 1.45642i
\(496\) 4.07162 3.41650i 0.182821 0.153405i
\(497\) −22.7288 + 10.5986i −1.01953 + 0.475413i
\(498\) −21.8072 + 10.2272i −0.977203 + 0.458292i
\(499\) −34.6806 + 6.11512i −1.55252 + 0.273750i −0.883117 0.469153i \(-0.844559\pi\)
−0.669399 + 0.742903i \(0.733448\pi\)
\(500\) 11.1673 + 0.538845i 0.499419 + 0.0240979i
\(501\) 8.53576 10.2180i 0.381350 0.456506i
\(502\) 6.64150 24.7864i 0.296425 1.10627i
\(503\) −1.73143 19.7903i −0.0772006 0.882407i −0.931765 0.363062i \(-0.881731\pi\)
0.854565 0.519345i \(-0.173824\pi\)
\(504\) 6.54292 + 11.2186i 0.291445 + 0.499716i
\(505\) −2.72504 0.362992i −0.121263 0.0161529i
\(506\) −13.3174 7.68883i −0.592033 0.341810i
\(507\) −9.49390 + 13.6223i −0.421639 + 0.604986i
\(508\) 8.24916 + 5.77612i 0.365997 + 0.256274i
\(509\) −4.71854 + 26.7602i −0.209146 + 1.18612i 0.681635 + 0.731692i \(0.261269\pi\)
−0.890781 + 0.454432i \(0.849842\pi\)
\(510\) 22.9278 + 9.47903i 1.01526 + 0.419739i
\(511\) 21.1016 17.7063i 0.933478 0.783281i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 6.99924 21.5409i 0.309024 0.951054i
\(514\) 25.4059i 1.12060i
\(515\) −1.46367 + 1.59243i −0.0644970 + 0.0701706i
\(516\) 5.79947 10.0961i 0.255307 0.444456i
\(517\) 29.0789 20.3612i 1.27889 0.895487i
\(518\) 28.9204 41.3026i 1.27069 1.81473i
\(519\) 5.07504 + 28.4170i 0.222769 + 1.24737i
\(520\) 3.81925 1.57516i 0.167485 0.0690751i
\(521\) 14.6258 8.44419i 0.640766 0.369947i −0.144143 0.989557i \(-0.546043\pi\)
0.784910 + 0.619610i \(0.212709\pi\)
\(522\) −2.65652 + 10.0913i −0.116273 + 0.441686i
\(523\) 41.2464 3.60859i 1.80358 0.157793i 0.864755 0.502195i \(-0.167474\pi\)
0.938822 + 0.344402i \(0.111918\pi\)
\(524\) −4.07763 7.06266i −0.178132 0.308534i
\(525\) −15.8734 + 33.9646i −0.692774 + 1.48233i
\(526\) −7.49769 + 2.72894i −0.326915 + 0.118987i
\(527\) 27.8906 + 19.5292i 1.21494 + 0.850707i
\(528\) −4.21985 8.99788i −0.183646 0.391582i
\(529\) −5.40987 + 14.8635i −0.235212 + 0.646239i
\(530\) −3.29258 + 0.138720i −0.143020 + 0.00602560i
\(531\) 5.24782 14.6177i 0.227736 0.634354i
\(532\) 9.89380 + 16.0682i 0.428951 + 0.696645i
\(533\) 0.620867 + 0.620867i 0.0268928 + 0.0268928i
\(534\) 3.21463 1.86539i 0.139111 0.0807235i
\(535\) 24.4987 + 5.47049i 1.05917 + 0.236510i
\(536\) −3.90927 0.689309i −0.168855 0.0297736i
\(537\) −21.2901 + 21.3838i −0.918736 + 0.922779i
\(538\) −5.23028 + 11.2164i −0.225493 + 0.483572i
\(539\) −33.6834 + 58.3414i −1.45085 + 2.51294i
\(540\) 11.5117 1.57485i 0.495386 0.0677705i
\(541\) 3.26242 + 2.73750i 0.140262 + 0.117694i 0.710219 0.703980i \(-0.248596\pi\)
−0.569957 + 0.821674i \(0.693040\pi\)
\(542\) 14.1402 1.23711i 0.607373 0.0531383i
\(543\) −3.62999 + 7.82938i −0.155778 + 0.335991i
\(544\) 5.54768 + 3.20295i 0.237855 + 0.137325i
\(545\) 1.99393 6.29042i 0.0854104 0.269452i
\(546\) 0.0304173 + 13.8534i 0.00130174 + 0.592871i
\(547\) −2.79178 + 1.95483i −0.119368 + 0.0835824i −0.631736 0.775184i \(-0.717657\pi\)
0.512368 + 0.858766i \(0.328768\pi\)
\(548\) −4.07224 8.73295i −0.173957 0.373053i
\(549\) −4.66247 12.6371i −0.198989 0.539337i
\(550\) 14.4205 24.8017i 0.614890 1.05755i
\(551\) −3.50803 + 14.7505i −0.149447 + 0.628392i
\(552\) 3.79662 2.67086i 0.161595 0.113679i
\(553\) −3.39621 + 38.8189i −0.144422 + 1.65075i
\(554\) 6.94724 + 2.52859i 0.295160 + 0.107429i
\(555\) −24.2626 38.0285i −1.02989 1.61422i
\(556\) 2.01782 + 11.4436i 0.0855746 + 0.485318i
\(557\) 3.61931 7.76164i 0.153355 0.328871i −0.814588 0.580040i \(-0.803037\pi\)
0.967943 + 0.251169i \(0.0808148\pi\)
\(558\) 15.8906 + 1.31996i 0.672705 + 0.0558785i
\(559\) 10.7559 6.20993i 0.454927 0.262652i
\(560\) −5.21356 + 8.15614i −0.220313 + 0.344660i
\(561\) 48.6791 41.0291i 2.05523 1.73225i
\(562\) −1.53585 + 5.73185i −0.0647857 + 0.241784i
\(563\) 21.6294 5.79558i 0.911570 0.244254i 0.227592 0.973757i \(-0.426915\pi\)
0.683978 + 0.729502i \(0.260248\pi\)
\(564\) 1.88394 + 10.5489i 0.0793283 + 0.444188i
\(565\) 11.1537 3.49804i 0.469241 0.147164i
\(566\) −0.569656 0.100446i −0.0239444 0.00422205i
\(567\) −9.75308 + 37.7211i −0.409591 + 1.58414i
\(568\) −0.504898 + 5.77101i −0.0211850 + 0.242146i
\(569\) 35.1204 1.47232 0.736162 0.676805i \(-0.236636\pi\)
0.736162 + 0.676805i \(0.236636\pi\)
\(570\) 16.6666 2.68761i 0.698089 0.112572i
\(571\) −24.8920 −1.04170 −0.520849 0.853649i \(-0.674385\pi\)
−0.520849 + 0.853649i \(0.674385\pi\)
\(572\) 0.923951 10.5608i 0.0386323 0.441569i
\(573\) −38.7706 + 10.4798i −1.61966 + 0.437801i
\(574\) −2.02608 0.357252i −0.0845668 0.0149114i
\(575\) 12.5780 + 4.62157i 0.524539 + 0.192733i
\(576\) 2.99997 0.0131739i 0.124999 0.000548911i
\(577\) 31.5219 8.44628i 1.31228 0.351623i 0.466197 0.884681i \(-0.345624\pi\)
0.846079 + 0.533058i \(0.178957\pi\)
\(578\) −6.22088 + 23.2166i −0.258754 + 0.965684i
\(579\) −16.3399 19.3865i −0.679063 0.805676i
\(580\) −7.59609 + 1.67185i −0.315410 + 0.0694196i
\(581\) 52.1355 30.1004i 2.16294 1.24878i
\(582\) 6.19771 0.555944i 0.256903 0.0230446i
\(583\) −3.57383 + 7.66410i −0.148013 + 0.317415i
\(584\) −1.10494 6.26640i −0.0457226 0.259306i
\(585\) 11.4640 + 4.71014i 0.473980 + 0.194740i
\(586\) 30.8968 + 11.2455i 1.27633 + 0.464547i
\(587\) 3.08600 35.2731i 0.127373 1.45588i −0.616393 0.787439i \(-0.711407\pi\)
0.743766 0.668440i \(-0.233038\pi\)
\(588\) −11.7006 16.6323i −0.482523 0.685904i
\(589\) 23.1278 + 1.36506i 0.952966 + 0.0562464i
\(590\) 11.4795 1.49347i 0.472603 0.0614853i
\(591\) −11.8760 + 6.89142i −0.488513 + 0.283475i
\(592\) −4.92229 10.5559i −0.202305 0.433844i
\(593\) 29.3642 20.5610i 1.20584 0.844340i 0.214640 0.976693i \(-0.431142\pi\)
0.991203 + 0.132353i \(0.0422534\pi\)
\(594\) 10.0125 28.0833i 0.410817 1.15227i
\(595\) −59.1111 18.7369i −2.42332 0.768140i
\(596\) 1.62305 + 0.937067i 0.0664826 + 0.0383838i
\(597\) −41.7041 19.3356i −1.70684 0.791353i
\(598\) 4.93274 0.431559i 0.201715 0.0176478i
\(599\) −13.2049 11.0802i −0.539536 0.452724i 0.331843 0.943334i \(-0.392329\pi\)
−0.871379 + 0.490610i \(0.836774\pi\)
\(600\) 4.96123 + 7.09833i 0.202541 + 0.289788i
\(601\) −10.0576 + 17.4202i −0.410256 + 0.710585i −0.994918 0.100693i \(-0.967894\pi\)
0.584661 + 0.811277i \(0.301227\pi\)
\(602\) −12.2986 + 26.3744i −0.501253 + 1.07494i
\(603\) −6.87333 9.72496i −0.279904 0.396031i
\(604\) −9.06183 1.59784i −0.368721 0.0650154i
\(605\) −26.2759 41.3843i −1.06827 1.68251i
\(606\) −1.06877 1.84181i −0.0434159 0.0748186i
\(607\) 1.63930 + 1.63930i 0.0665373 + 0.0665373i 0.739592 0.673055i \(-0.235018\pi\)
−0.673055 + 0.739592i \(0.735018\pi\)
\(608\) 4.35715 0.123394i 0.176706 0.00500430i
\(609\) 4.47258 25.6951i 0.181238 1.04122i
\(610\) 6.79406 7.39172i 0.275083 0.299282i
\(611\) −3.90948 + 10.7412i −0.158160 + 0.434542i
\(612\) 5.05538 + 18.5409i 0.204352 + 0.749470i
\(613\) −26.0386 18.2324i −1.05169 0.736400i −0.0860506 0.996291i \(-0.527425\pi\)
−0.965638 + 0.259890i \(0.916314\pi\)
\(614\) 13.0335 4.74382i 0.525991 0.191445i
\(615\) −0.987908 + 1.55300i −0.0398363 + 0.0626228i
\(616\) 12.4198 + 21.5117i 0.500406 + 0.866729i
\(617\) −10.1892 + 0.891440i −0.410202 + 0.0358880i −0.290390 0.956909i \(-0.593785\pi\)
−0.119812 + 0.992797i \(0.538229\pi\)
\(618\) −1.66932 0.142354i −0.0671498 0.00572631i
\(619\) −1.43590 + 0.829018i −0.0577138 + 0.0333211i −0.528579 0.848884i \(-0.677275\pi\)
0.470865 + 0.882205i \(0.343942\pi\)
\(620\) 4.53141 + 10.9872i 0.181986 + 0.441258i
\(621\) 13.7299 + 2.32782i 0.550964 + 0.0934121i
\(622\) −1.59952 + 2.28435i −0.0641349 + 0.0915942i
\(623\) −7.60940 + 5.32816i −0.304864 + 0.213468i
\(624\) 2.77488 + 1.59396i 0.111084 + 0.0638096i
\(625\) −8.69384 + 23.4396i −0.347754 + 0.937586i
\(626\) 17.8079i 0.711748i
\(627\) 13.5677 41.1403i 0.541840 1.64299i
\(628\) 6.03439 6.03439i 0.240798 0.240798i
\(629\) 57.1549 47.9587i 2.27892 1.91224i
\(630\) −28.3337 + 6.36663i −1.12884 + 0.253653i
\(631\) −3.02534 + 17.1576i −0.120437 + 0.683032i 0.863477 + 0.504388i \(0.168282\pi\)
−0.983914 + 0.178644i \(0.942829\pi\)
\(632\) 7.37343 + 5.16293i 0.293299 + 0.205370i
\(633\) 32.4523 + 22.6173i 1.28986 + 0.898958i
\(634\) −5.56561 3.21331i −0.221039 0.127617i
\(635\) −17.8857 + 13.6808i −0.709771 + 0.542906i
\(636\) −1.64512 1.95186i −0.0652333 0.0773963i
\(637\) −1.89058 21.6095i −0.0749076 0.856198i
\(638\) −5.16562 + 19.2784i −0.204509 + 0.763238i
\(639\) −13.2640 + 11.2295i −0.524716 + 0.444230i
\(640\) 1.02947 + 1.98499i 0.0406934 + 0.0784637i
\(641\) 7.92507 1.39740i 0.313021 0.0551941i −0.0149305 0.999889i \(-0.504753\pi\)
0.327952 + 0.944694i \(0.393642\pi\)
\(642\) 8.25604 + 17.6041i 0.325840 + 0.694779i
\(643\) −12.9877 + 6.05627i −0.512185 + 0.238836i −0.661488 0.749956i \(-0.730075\pi\)
0.149303 + 0.988792i \(0.452297\pi\)
\(644\) −8.88768 + 7.45765i −0.350224 + 0.293873i
\(645\) 17.6019 + 19.1833i 0.693073 + 0.755342i
\(646\) 7.98755 + 26.7559i 0.314266 + 1.05270i
\(647\) 16.9280 16.9280i 0.665508 0.665508i −0.291165 0.956673i \(-0.594043\pi\)
0.956673 + 0.291165i \(0.0940428\pi\)
\(648\) 6.41961 + 6.30782i 0.252186 + 0.247795i
\(649\) 10.1598 27.9137i 0.398805 1.09571i
\(650\) 0.777026 + 9.20516i 0.0304775 + 0.361056i
\(651\) −39.8535 + 0.0875046i −1.56198 + 0.00342957i
\(652\) 6.86948 + 3.20329i 0.269030 + 0.125451i
\(653\) 18.1963 4.87569i 0.712077 0.190800i 0.115443 0.993314i \(-0.463171\pi\)
0.596634 + 0.802514i \(0.296505\pi\)
\(654\) 4.79935 1.75877i 0.187670 0.0687732i
\(655\) 17.8094 3.91974i 0.695873 0.153157i
\(656\) −0.305477 + 0.364053i −0.0119269 + 0.0142139i
\(657\) 10.8804 15.6849i 0.424483 0.611926i
\(658\) −6.93192 25.8703i −0.270234 1.00853i
\(659\) 4.73761 1.72435i 0.184551 0.0671711i −0.248092 0.968737i \(-0.579803\pi\)
0.432643 + 0.901565i \(0.357581\pi\)
\(660\) 22.0306 2.91536i 0.857538 0.113480i
\(661\) −3.47890 + 19.7298i −0.135313 + 0.767401i 0.839327 + 0.543626i \(0.182949\pi\)
−0.974641 + 0.223775i \(0.928162\pi\)
\(662\) −15.4751 + 7.21616i −0.601457 + 0.280464i
\(663\) −5.26219 + 19.8126i −0.204366 + 0.769460i
\(664\) 13.9062i 0.539666i
\(665\) −40.9349 + 10.2325i −1.58739 + 0.396801i
\(666\) 11.8064 32.8863i 0.457487 1.27432i
\(667\) −9.28671 0.812482i −0.359583 0.0314594i
\(668\) 3.24864 + 6.96672i 0.125694 + 0.269551i
\(669\) −5.19570 + 14.3732i −0.200877 + 0.555699i
\(670\) 4.11061 7.86705i 0.158807 0.303931i
\(671\) −8.81129 24.2088i −0.340156 0.934572i
\(672\) −7.46817 + 0.669906i −0.288091 + 0.0258422i
\(673\) 10.1468 + 2.71882i 0.391129 + 0.104803i 0.449023 0.893520i \(-0.351772\pi\)
−0.0578945 + 0.998323i \(0.518439\pi\)
\(674\) 19.9214 + 16.7160i 0.767343 + 0.643877i
\(675\) −4.42109 + 25.6018i −0.170168 + 0.985415i
\(676\) −4.79322 8.30211i −0.184355 0.319312i
\(677\) −2.74712 10.2524i −0.105581 0.394032i 0.892830 0.450394i \(-0.148717\pi\)
−0.998410 + 0.0563621i \(0.982050\pi\)
\(678\) 7.42846 + 5.17719i 0.285288 + 0.198829i
\(679\) −15.3164 + 2.70069i −0.587788 + 0.103643i
\(680\) −10.5756 + 9.66104i −0.405554 + 0.370484i
\(681\) −3.84512 2.20874i −0.147345 0.0846390i
\(682\) 30.3814 + 2.65803i 1.16336 + 0.101781i
\(683\) −14.4107 14.4107i −0.551409 0.551409i 0.375438 0.926847i \(-0.377492\pi\)
−0.926847 + 0.375438i \(0.877492\pi\)
\(684\) 9.54402 + 8.93933i 0.364925 + 0.341804i
\(685\) 21.3661 2.77972i 0.816357 0.106207i
\(686\) 13.1920 + 15.7216i 0.503672 + 0.600253i
\(687\) −14.9906 + 4.05202i −0.571928 + 0.154594i
\(688\) 3.85571 + 5.50653i 0.146998 + 0.209934i
\(689\) −0.472835 2.68158i −0.0180136 0.102160i
\(690\) 3.12787 + 9.89724i 0.119076 + 0.376782i
\(691\) 6.58577 11.4069i 0.250535 0.433939i −0.713139 0.701023i \(-0.752727\pi\)
0.963673 + 0.267085i \(0.0860603\pi\)
\(692\) −16.0983 4.31351i −0.611964 0.163975i
\(693\) −18.9706 + 72.0634i −0.720632 + 2.73746i
\(694\) −18.0611 + 21.5244i −0.685590 + 0.817054i
\(695\) −25.7560 3.43086i −0.976979 0.130140i
\(696\) −4.62370 3.86248i −0.175261 0.146407i
\(697\) −2.75910 1.28659i −0.104508 0.0487330i
\(698\) −14.0292 + 20.0358i −0.531014 + 0.758367i
\(699\) 0.463948 + 0.167711i 0.0175481 + 0.00634340i
\(700\) −13.8626 16.6237i −0.523958 0.628316i
\(701\) 2.41289 + 2.87557i 0.0911336 + 0.108609i 0.809684 0.586866i \(-0.199639\pi\)
−0.718550 + 0.695475i \(0.755194\pi\)
\(702\) 2.54577 + 9.25662i 0.0960839 + 0.349368i
\(703\) 16.0064 48.1794i 0.603694 1.81712i
\(704\) 5.73785 0.216254
\(705\) −23.7583 3.11169i −0.894790 0.117193i
\(706\) 2.40053 + 0.873723i 0.0903453 + 0.0328830i
\(707\) 3.05275 + 4.35978i 0.114811 + 0.163967i
\(708\) 6.35447 + 6.32663i 0.238816 + 0.237769i
\(709\) 5.10764 + 14.0331i 0.191821 + 0.527025i 0.997899 0.0647845i \(-0.0206360\pi\)
−0.806078 + 0.591810i \(0.798414\pi\)
\(710\) −11.9600 4.97542i −0.448852 0.186724i
\(711\) 4.80591 + 26.5728i 0.180236 + 0.996558i
\(712\) 0.187020 + 2.13765i 0.00700888 + 0.0801118i
\(713\) 1.24151 + 14.1905i 0.0464949 + 0.531439i
\(714\) −16.5271 45.0996i −0.618512 1.68781i
\(715\) 21.8866 + 9.10490i 0.818512 + 0.340504i
\(716\) −5.95854 16.3709i −0.222681 0.611811i
\(717\) 11.9121 11.9646i 0.444867 0.446825i
\(718\) −3.65098 5.21414i −0.136253 0.194590i
\(719\) 4.92768 + 1.79353i 0.183772 + 0.0668874i 0.432267 0.901746i \(-0.357714\pi\)
−0.248495 + 0.968633i \(0.579936\pi\)
\(720\) −1.99886 + 6.40348i −0.0744932 + 0.238644i
\(721\) 4.18741 0.155947
\(722\) 14.1738 + 12.6531i 0.527496 + 0.470901i
\(723\) 17.1330 + 24.3545i 0.637183 + 0.905753i
\(724\) −3.20269 3.81682i −0.119027 0.141851i
\(725\) 1.56871 17.3210i 0.0582605 0.643286i
\(726\) 12.9087 35.7102i 0.479087 1.32533i
\(727\) 16.2632 23.2262i 0.603168 0.861413i −0.395196 0.918597i \(-0.629323\pi\)
0.998364 + 0.0571837i \(0.0182121\pi\)
\(728\) −7.24891 3.38022i −0.268662 0.125279i
\(729\) 0.355685 + 26.9977i 0.0131735 + 0.999913i
\(730\) 14.1037 + 1.87870i 0.522001 + 0.0695338i
\(731\) −27.6797 + 32.9874i −1.02377 + 1.22008i
\(732\) 7.74864 + 0.660778i 0.286398 + 0.0244231i
\(733\) 45.0563 + 12.0728i 1.66419 + 0.445919i 0.963536 0.267578i \(-0.0862234\pi\)
0.700658 + 0.713498i \(0.252890\pi\)
\(734\) 5.08007 8.79894i 0.187509 0.324775i
\(735\) 43.3581 13.7026i 1.59929 0.505429i
\(736\) 0.465384 + 2.63932i 0.0171543 + 0.0972867i
\(737\) −13.0643 18.6577i −0.481228 0.687265i
\(738\) −1.41973 + 0.130495i −0.0522609 + 0.00480358i
\(739\) −12.0147 14.3185i −0.441967 0.526716i 0.498368 0.866966i \(-0.333933\pi\)
−0.940335 + 0.340250i \(0.889488\pi\)
\(740\) 25.8261 3.35996i 0.949388 0.123515i
\(741\) 4.01956 + 13.3572i 0.147662 + 0.490690i
\(742\) 4.51144 + 4.51144i 0.165620 + 0.165620i
\(743\) −31.1890 2.72868i −1.14421 0.100106i −0.500757 0.865588i \(-0.666945\pi\)
−0.643457 + 0.765482i \(0.722500\pi\)
\(744\) −4.58552 + 7.98278i −0.168113 + 0.292663i
\(745\) −3.09402 + 2.82647i −0.113356 + 0.103554i
\(746\) −18.6085 + 3.28118i −0.681305 + 0.120132i
\(747\) 29.3697 29.6288i 1.07458 1.08406i
\(748\) 9.51319 + 35.5037i 0.347837 + 1.29814i
\(749\) −24.2990 42.0870i −0.887865 1.53783i
\(750\) −18.4825 + 5.77907i −0.674885 + 0.211022i
\(751\) 6.19949 + 5.20199i 0.226223 + 0.189823i 0.748853 0.662736i \(-0.230605\pi\)
−0.522631 + 0.852559i \(0.675049\pi\)
\(752\) −5.97596 1.60125i −0.217921 0.0583917i
\(753\) 3.97091 + 44.2681i 0.144708 + 1.61322i
\(754\) −2.19802 6.03901i −0.0800472 0.219928i
\(755\) 9.52854 18.2361i 0.346779 0.663680i
\(756\) −17.3266 14.3453i −0.630163 0.521735i
\(757\) −6.65808 14.2783i −0.241992 0.518953i 0.747374 0.664404i \(-0.231315\pi\)
−0.989366 + 0.145451i \(0.953537\pi\)
\(758\) −24.1775 2.11526i −0.878167 0.0768296i
\(759\) 26.2403 + 4.56750i 0.952464 + 0.165790i
\(760\) −2.68091 + 9.37084i −0.0972468 + 0.339916i
\(761\) 11.5281i 0.417893i 0.977927 + 0.208946i \(0.0670034\pi\)
−0.977927 + 0.208946i \(0.932997\pi\)
\(762\) −16.8579 4.47742i −0.610698 0.162200i
\(763\) −11.5785 + 5.39916i −0.419171 + 0.195463i
\(764\) 4.02647 22.8352i 0.145673 0.826150i
\(765\) −42.9364 1.75144i −1.55237 0.0633236i
\(766\) −31.0453 + 11.2995i −1.12171 + 0.408269i
\(767\) 2.47561 + 9.23909i 0.0893890 + 0.333604i
\(768\) −0.728548 + 1.57137i −0.0262892 + 0.0567021i
\(769\) −28.0082 + 33.3789i −1.01000 + 1.20367i −0.0310628 + 0.999517i \(0.509889\pi\)
−0.978939 + 0.204155i \(0.934555\pi\)
\(770\) −54.2446 + 11.9389i −1.95484 + 0.430246i
\(771\) −15.1411 41.3173i −0.545293 1.48801i
\(772\) 14.1394 3.78864i 0.508888 0.136356i
\(773\) −3.78051 1.76288i −0.135975 0.0634064i 0.353440 0.935457i \(-0.385012\pi\)
−0.489415 + 0.872051i