Properties

Label 240.2.bl.a.109.15
Level $240$
Weight $2$
Character 240.109
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 109.15
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.456856 - 1.33839i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.58257 - 1.22290i) q^{4} +(1.65754 + 1.50085i) q^{5} +(0.623338 + 1.26943i) q^{6} +2.58977 q^{7} +(-2.35972 + 1.55940i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(0.456856 - 1.33839i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.58257 - 1.22290i) q^{4} +(1.65754 + 1.50085i) q^{5} +(0.623338 + 1.26943i) q^{6} +2.58977 q^{7} +(-2.35972 + 1.55940i) q^{8} -1.00000i q^{9} +(2.76598 - 1.53277i) q^{10} +(4.39624 - 4.39624i) q^{11} +(1.98376 - 0.254322i) q^{12} +(0.417468 - 0.417468i) q^{13} +(1.18315 - 3.46612i) q^{14} +(-2.23332 + 0.110799i) q^{15} +(1.00903 + 3.87064i) q^{16} +4.40417i q^{17} +(-1.33839 - 0.456856i) q^{18} +(-4.53682 - 4.53682i) q^{19} +(-0.787783 - 4.40220i) q^{20} +(-1.83125 + 1.83125i) q^{21} +(-3.87543 - 7.89232i) q^{22} +0.281063 q^{23} +(0.565912 - 2.77124i) q^{24} +(0.494901 + 4.97545i) q^{25} +(-0.368012 - 0.749457i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-4.09849 - 3.16704i) q^{28} +(3.73710 + 3.73710i) q^{29} +(-0.872013 + 3.03967i) q^{30} -3.05233 q^{31} +(5.64140 + 0.417848i) q^{32} +6.21722i q^{33} +(5.89449 + 2.01207i) q^{34} +(4.29266 + 3.88686i) q^{35} +(-1.22290 + 1.58257i) q^{36} +(-5.26234 - 5.26234i) q^{37} +(-8.14471 + 3.99936i) q^{38} +0.590389i q^{39} +(-6.25176 - 0.956812i) q^{40} +5.16508i q^{41} +(1.61430 + 3.28754i) q^{42} +(-2.66933 - 2.66933i) q^{43} +(-12.3335 + 1.58118i) q^{44} +(1.50085 - 1.65754i) q^{45} +(0.128405 - 0.376171i) q^{46} +7.45202i q^{47} +(-3.45045 - 2.02346i) q^{48} -0.293066 q^{49} +(6.88518 + 1.61069i) q^{50} +(-3.11422 - 3.11422i) q^{51} +(-1.17119 + 0.150149i) q^{52} +(-2.89462 - 2.89462i) q^{53} +(1.26943 - 0.623338i) q^{54} +(13.8850 - 0.688864i) q^{55} +(-6.11114 + 4.03849i) q^{56} +6.41604 q^{57} +(6.70900 - 3.29437i) q^{58} +(-4.60721 + 4.60721i) q^{59} +(3.66987 + 2.55578i) q^{60} +(-0.211318 - 0.211318i) q^{61} +(-1.39447 + 4.08520i) q^{62} -2.58977i q^{63} +(3.13655 - 7.35949i) q^{64} +(1.31853 - 0.0654147i) q^{65} +(8.32105 + 2.84037i) q^{66} +(-7.17140 + 7.17140i) q^{67} +(5.38586 - 6.96989i) q^{68} +(-0.198741 + 0.198741i) q^{69} +(7.16326 - 3.96952i) q^{70} -15.9477i q^{71} +(1.55940 + 2.35972i) q^{72} -10.5662 q^{73} +(-9.44719 + 4.63893i) q^{74} +(-3.86812 - 3.16822i) q^{75} +(1.63174 + 12.7279i) q^{76} +(11.3853 - 11.3853i) q^{77} +(0.790170 + 0.269723i) q^{78} +4.53907 q^{79} +(-4.13674 + 7.93016i) q^{80} -1.00000 q^{81} +(6.91288 + 2.35969i) q^{82} +(-4.56660 + 4.56660i) q^{83} +(5.13750 - 0.658637i) q^{84} +(-6.61000 + 7.30010i) q^{85} +(-4.79209 + 2.35310i) q^{86} -5.28505 q^{87} +(-3.51840 + 17.2294i) q^{88} +10.2745i q^{89} +(-1.53277 - 2.76598i) q^{90} +(1.08115 - 1.08115i) q^{91} +(-0.444800 - 0.343712i) q^{92} +(2.15832 - 2.15832i) q^{93} +(9.97370 + 3.40450i) q^{94} +(-0.710893 - 14.3291i) q^{95} +(-4.28454 + 3.69361i) q^{96} -6.78053i q^{97} +(-0.133889 + 0.392236i) q^{98} +(-4.39624 - 4.39624i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.456856 1.33839i 0.323046 0.946383i
\(3\) −0.707107 + 0.707107i −0.408248 + 0.408248i
\(4\) −1.58257 1.22290i −0.791283 0.611450i
\(5\) 1.65754 + 1.50085i 0.741276 + 0.671200i
\(6\) 0.623338 + 1.26943i 0.254477 + 0.518242i
\(7\) 2.58977 0.978843 0.489421 0.872047i \(-0.337208\pi\)
0.489421 + 0.872047i \(0.337208\pi\)
\(8\) −2.35972 + 1.55940i −0.834287 + 0.551331i
\(9\) 1.00000i 0.333333i
\(10\) 2.76598 1.53277i 0.874679 0.484703i
\(11\) 4.39624 4.39624i 1.32552 1.32552i 0.416278 0.909237i \(-0.363334\pi\)
0.909237 0.416278i \(-0.136666\pi\)
\(12\) 1.98376 0.254322i 0.572663 0.0734165i
\(13\) 0.417468 0.417468i 0.115785 0.115785i −0.646840 0.762625i \(-0.723910\pi\)
0.762625 + 0.646840i \(0.223910\pi\)
\(14\) 1.18315 3.46612i 0.316211 0.926361i
\(15\) −2.23332 + 0.110799i −0.576641 + 0.0286083i
\(16\) 1.00903 + 3.87064i 0.252258 + 0.967660i
\(17\) 4.40417i 1.06817i 0.845431 + 0.534084i \(0.179343\pi\)
−0.845431 + 0.534084i \(0.820657\pi\)
\(18\) −1.33839 0.456856i −0.315461 0.107682i
\(19\) −4.53682 4.53682i −1.04082 1.04082i −0.999131 0.0416882i \(-0.986726\pi\)
−0.0416882 0.999131i \(-0.513274\pi\)
\(20\) −0.787783 4.40220i −0.176154 0.984363i
\(21\) −1.83125 + 1.83125i −0.399611 + 0.399611i
\(22\) −3.87543 7.89232i −0.826244 1.68265i
\(23\) 0.281063 0.0586056 0.0293028 0.999571i \(-0.490671\pi\)
0.0293028 + 0.999571i \(0.490671\pi\)
\(24\) 0.565912 2.77124i 0.115516 0.565676i
\(25\) 0.494901 + 4.97545i 0.0989802 + 0.995089i
\(26\) −0.368012 0.749457i −0.0721731 0.146981i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) −4.09849 3.16704i −0.774542 0.598514i
\(29\) 3.73710 + 3.73710i 0.693962 + 0.693962i 0.963101 0.269140i \(-0.0867393\pi\)
−0.269140 + 0.963101i \(0.586739\pi\)
\(30\) −0.872013 + 3.03967i −0.159207 + 0.554965i
\(31\) −3.05233 −0.548214 −0.274107 0.961699i \(-0.588382\pi\)
−0.274107 + 0.961699i \(0.588382\pi\)
\(32\) 5.64140 + 0.417848i 0.997268 + 0.0738659i
\(33\) 6.21722i 1.08228i
\(34\) 5.89449 + 2.01207i 1.01090 + 0.345067i
\(35\) 4.29266 + 3.88686i 0.725593 + 0.657000i
\(36\) −1.22290 + 1.58257i −0.203817 + 0.263761i
\(37\) −5.26234 5.26234i −0.865124 0.865124i 0.126804 0.991928i \(-0.459528\pi\)
−0.991928 + 0.126804i \(0.959528\pi\)
\(38\) −8.14471 + 3.99936i −1.32125 + 0.648782i
\(39\) 0.590389i 0.0945380i
\(40\) −6.25176 0.956812i −0.988490 0.151285i
\(41\) 5.16508i 0.806649i 0.915057 + 0.403325i \(0.132145\pi\)
−0.915057 + 0.403325i \(0.867855\pi\)
\(42\) 1.61430 + 3.28754i 0.249093 + 0.507278i
\(43\) −2.66933 2.66933i −0.407069 0.407069i 0.473647 0.880715i \(-0.342937\pi\)
−0.880715 + 0.473647i \(0.842937\pi\)
\(44\) −12.3335 + 1.58118i −1.85934 + 0.238371i
\(45\) 1.50085 1.65754i 0.223733 0.247092i
\(46\) 0.128405 0.376171i 0.0189323 0.0554634i
\(47\) 7.45202i 1.08699i 0.839413 + 0.543495i \(0.182899\pi\)
−0.839413 + 0.543495i \(0.817101\pi\)
\(48\) −3.45045 2.02346i −0.498029 0.292062i
\(49\) −0.293066 −0.0418665
\(50\) 6.88518 + 1.61069i 0.973711 + 0.227786i
\(51\) −3.11422 3.11422i −0.436078 0.436078i
\(52\) −1.17119 + 0.150149i −0.162415 + 0.0208219i
\(53\) −2.89462 2.89462i −0.397606 0.397606i 0.479782 0.877388i \(-0.340716\pi\)
−0.877388 + 0.479782i \(0.840716\pi\)
\(54\) 1.26943 0.623338i 0.172747 0.0848255i
\(55\) 13.8850 0.688864i 1.87226 0.0928863i
\(56\) −6.11114 + 4.03849i −0.816636 + 0.539666i
\(57\) 6.41604 0.849825
\(58\) 6.70900 3.29437i 0.880935 0.432573i
\(59\) −4.60721 + 4.60721i −0.599808 + 0.599808i −0.940261 0.340453i \(-0.889420\pi\)
0.340453 + 0.940261i \(0.389420\pi\)
\(60\) 3.66987 + 2.55578i 0.473779 + 0.329950i
\(61\) −0.211318 0.211318i −0.0270564 0.0270564i 0.693449 0.720506i \(-0.256090\pi\)
−0.720506 + 0.693449i \(0.756090\pi\)
\(62\) −1.39447 + 4.08520i −0.177098 + 0.518821i
\(63\) 2.58977i 0.326281i
\(64\) 3.13655 7.35949i 0.392069 0.919936i
\(65\) 1.31853 0.0654147i 0.163543 0.00811370i
\(66\) 8.32105 + 2.84037i 1.02425 + 0.349625i
\(67\) −7.17140 + 7.17140i −0.876126 + 0.876126i −0.993131 0.117005i \(-0.962671\pi\)
0.117005 + 0.993131i \(0.462671\pi\)
\(68\) 5.38586 6.96989i 0.653132 0.845223i
\(69\) −0.198741 + 0.198741i −0.0239257 + 0.0239257i
\(70\) 7.16326 3.96952i 0.856173 0.474448i
\(71\) 15.9477i 1.89265i −0.323222 0.946323i \(-0.604766\pi\)
0.323222 0.946323i \(-0.395234\pi\)
\(72\) 1.55940 + 2.35972i 0.183777 + 0.278096i
\(73\) −10.5662 −1.23668 −0.618339 0.785912i \(-0.712194\pi\)
−0.618339 + 0.785912i \(0.712194\pi\)
\(74\) −9.44719 + 4.63893i −1.09821 + 0.539264i
\(75\) −3.86812 3.16822i −0.446652 0.365835i
\(76\) 1.63174 + 12.7279i 0.187174 + 1.45999i
\(77\) 11.3853 11.3853i 1.29747 1.29747i
\(78\) 0.790170 + 0.269723i 0.0894692 + 0.0305401i
\(79\) 4.53907 0.510685 0.255342 0.966851i \(-0.417812\pi\)
0.255342 + 0.966851i \(0.417812\pi\)
\(80\) −4.13674 + 7.93016i −0.462501 + 0.886619i
\(81\) −1.00000 −0.111111
\(82\) 6.91288 + 2.35969i 0.763400 + 0.260585i
\(83\) −4.56660 + 4.56660i −0.501249 + 0.501249i −0.911826 0.410577i \(-0.865327\pi\)
0.410577 + 0.911826i \(0.365327\pi\)
\(84\) 5.13750 0.658637i 0.560548 0.0718632i
\(85\) −6.61000 + 7.30010i −0.716955 + 0.791807i
\(86\) −4.79209 + 2.35310i −0.516745 + 0.253741i
\(87\) −5.28505 −0.566617
\(88\) −3.51840 + 17.2294i −0.375062 + 1.83666i
\(89\) 10.2745i 1.08910i 0.838730 + 0.544548i \(0.183299\pi\)
−0.838730 + 0.544548i \(0.816701\pi\)
\(90\) −1.53277 2.76598i −0.161568 0.291560i
\(91\) 1.08115 1.08115i 0.113335 0.113335i
\(92\) −0.444800 0.343712i −0.0463737 0.0358344i
\(93\) 2.15832 2.15832i 0.223808 0.223808i
\(94\) 9.97370 + 3.40450i 1.02871 + 0.351147i
\(95\) −0.710893 14.3291i −0.0729361 1.47013i
\(96\) −4.28454 + 3.69361i −0.437289 + 0.376977i
\(97\) 6.78053i 0.688459i −0.938886 0.344229i \(-0.888140\pi\)
0.938886 0.344229i \(-0.111860\pi\)
\(98\) −0.133889 + 0.392236i −0.0135248 + 0.0396218i
\(99\) −4.39624 4.39624i −0.441838 0.441838i
\(100\) 5.30126 8.47919i 0.530126 0.847919i
\(101\) 10.0764 10.0764i 1.00264 1.00264i 0.00264739 0.999996i \(-0.499157\pi\)
0.999996 0.00264739i \(-0.000842692\pi\)
\(102\) −5.59078 + 2.74529i −0.553570 + 0.271824i
\(103\) 4.71475 0.464558 0.232279 0.972649i \(-0.425382\pi\)
0.232279 + 0.972649i \(0.425382\pi\)
\(104\) −0.334108 + 1.63611i −0.0327620 + 0.160434i
\(105\) −5.78380 + 0.286945i −0.564441 + 0.0280030i
\(106\) −5.19654 + 2.55170i −0.504733 + 0.247843i
\(107\) −12.9687 12.9687i −1.25373 1.25373i −0.954035 0.299696i \(-0.903115\pi\)
−0.299696 0.954035i \(-0.596885\pi\)
\(108\) −0.254322 1.98376i −0.0244722 0.190888i
\(109\) −0.382902 0.382902i −0.0366754 0.0366754i 0.688531 0.725207i \(-0.258256\pi\)
−0.725207 + 0.688531i \(0.758256\pi\)
\(110\) 5.42149 18.8983i 0.516919 1.80188i
\(111\) 7.44208 0.706371
\(112\) 2.61316 + 10.0241i 0.246921 + 0.947187i
\(113\) 12.1861i 1.14637i 0.819424 + 0.573187i \(0.194293\pi\)
−0.819424 + 0.573187i \(0.805707\pi\)
\(114\) 2.93120 8.58715i 0.274532 0.804260i
\(115\) 0.465874 + 0.421833i 0.0434430 + 0.0393361i
\(116\) −1.34411 10.4843i −0.124797 0.973443i
\(117\) −0.417468 0.417468i −0.0385950 0.0385950i
\(118\) 4.06141 + 8.27107i 0.373883 + 0.761414i
\(119\) 11.4058i 1.04557i
\(120\) 5.09723 3.74409i 0.465311 0.341787i
\(121\) 27.6538i 2.51398i
\(122\) −0.379366 + 0.186283i −0.0343462 + 0.0168653i
\(123\) −3.65226 3.65226i −0.329313 0.329313i
\(124\) 4.83051 + 3.73269i 0.433793 + 0.335206i
\(125\) −6.64708 + 8.98979i −0.594533 + 0.804071i
\(126\) −3.46612 1.18315i −0.308787 0.105404i
\(127\) 6.75303i 0.599234i 0.954060 + 0.299617i \(0.0968589\pi\)
−0.954060 + 0.299617i \(0.903141\pi\)
\(128\) −8.41690 7.56014i −0.743956 0.668228i
\(129\) 3.77500 0.332370
\(130\) 0.514827 1.79459i 0.0451533 0.157396i
\(131\) 3.95303 + 3.95303i 0.345378 + 0.345378i 0.858385 0.513007i \(-0.171468\pi\)
−0.513007 + 0.858385i \(0.671468\pi\)
\(132\) 7.60304 9.83916i 0.661759 0.856389i
\(133\) −11.7494 11.7494i −1.01880 1.01880i
\(134\) 6.32183 + 12.8744i 0.546123 + 1.11218i
\(135\) 0.110799 + 2.23332i 0.00953609 + 0.192214i
\(136\) −6.86786 10.3926i −0.588914 0.891159i
\(137\) 5.19519 0.443855 0.221927 0.975063i \(-0.428765\pi\)
0.221927 + 0.975063i \(0.428765\pi\)
\(138\) 0.175197 + 0.356789i 0.0149138 + 0.0303719i
\(139\) 0.977024 0.977024i 0.0828701 0.0828701i −0.664457 0.747327i \(-0.731337\pi\)
0.747327 + 0.664457i \(0.231337\pi\)
\(140\) −2.04018 11.4007i −0.172427 0.963536i
\(141\) −5.26938 5.26938i −0.443761 0.443761i
\(142\) −21.3442 7.28580i −1.79117 0.611411i
\(143\) 3.67058i 0.306949i
\(144\) 3.87064 1.00903i 0.322553 0.0840859i
\(145\) 0.585580 + 11.8032i 0.0486298 + 0.980204i
\(146\) −4.82722 + 14.1416i −0.399503 + 1.17037i
\(147\) 0.207229 0.207229i 0.0170919 0.0170919i
\(148\) 1.89269 + 14.7633i 0.155578 + 1.21354i
\(149\) 11.3051 11.3051i 0.926150 0.926150i −0.0713047 0.997455i \(-0.522716\pi\)
0.997455 + 0.0713047i \(0.0227163\pi\)
\(150\) −6.00749 + 3.72963i −0.490509 + 0.304523i
\(151\) 2.87287i 0.233791i 0.993144 + 0.116895i \(0.0372942\pi\)
−0.993144 + 0.116895i \(0.962706\pi\)
\(152\) 17.7804 + 3.63091i 1.44218 + 0.294506i
\(153\) 4.40417 0.356056
\(154\) −10.0365 20.4393i −0.808763 1.64705i
\(155\) −5.05937 4.58109i −0.406378 0.367962i
\(156\) 0.721987 0.934330i 0.0578052 0.0748063i
\(157\) 5.73516 5.73516i 0.457716 0.457716i −0.440189 0.897905i \(-0.645089\pi\)
0.897905 + 0.440189i \(0.145089\pi\)
\(158\) 2.07370 6.07503i 0.164975 0.483304i
\(159\) 4.09361 0.324644
\(160\) 8.72374 + 9.15950i 0.689672 + 0.724122i
\(161\) 0.727889 0.0573657
\(162\) −0.456856 + 1.33839i −0.0358940 + 0.105154i
\(163\) 11.9561 11.9561i 0.936474 0.936474i −0.0616255 0.998099i \(-0.519628\pi\)
0.998099 + 0.0616255i \(0.0196285\pi\)
\(164\) 6.31637 8.17407i 0.493226 0.638288i
\(165\) −9.33111 + 10.3053i −0.726426 + 0.802267i
\(166\) 4.02560 + 8.19815i 0.312447 + 0.636300i
\(167\) 9.23665 0.714754 0.357377 0.933960i \(-0.383671\pi\)
0.357377 + 0.933960i \(0.383671\pi\)
\(168\) 1.46558 7.17688i 0.113072 0.553708i
\(169\) 12.6514i 0.973188i
\(170\) 6.75056 + 12.1818i 0.517744 + 0.934304i
\(171\) −4.53682 + 4.53682i −0.346940 + 0.346940i
\(172\) 0.960066 + 7.48871i 0.0732044 + 0.571008i
\(173\) 2.36187 2.36187i 0.179570 0.179570i −0.611598 0.791168i \(-0.709473\pi\)
0.791168 + 0.611598i \(0.209473\pi\)
\(174\) −2.41451 + 7.07345i −0.183043 + 0.536237i
\(175\) 1.28168 + 12.8853i 0.0968861 + 0.974036i
\(176\) 21.4522 + 12.5803i 1.61702 + 0.948277i
\(177\) 6.51559i 0.489741i
\(178\) 13.7513 + 4.69397i 1.03070 + 0.351828i
\(179\) 9.27202 + 9.27202i 0.693023 + 0.693023i 0.962896 0.269873i \(-0.0869816\pi\)
−0.269873 + 0.962896i \(0.586982\pi\)
\(180\) −4.40220 + 0.787783i −0.328121 + 0.0587179i
\(181\) −10.5707 + 10.5707i −0.785715 + 0.785715i −0.980789 0.195074i \(-0.937505\pi\)
0.195074 + 0.980789i \(0.437505\pi\)
\(182\) −0.953068 1.94093i −0.0706461 0.143871i
\(183\) 0.298848 0.0220915
\(184\) −0.663229 + 0.438289i −0.0488939 + 0.0323111i
\(185\) −0.824577 16.6206i −0.0606241 1.22197i
\(186\) −1.90263 3.87472i −0.139508 0.284108i
\(187\) 19.3618 + 19.3618i 1.41587 + 1.41587i
\(188\) 9.11308 11.7933i 0.664640 0.860116i
\(189\) 1.83125 + 1.83125i 0.133204 + 0.133204i
\(190\) −19.5026 5.59487i −1.41487 0.405894i
\(191\) −8.32988 −0.602729 −0.301364 0.953509i \(-0.597442\pi\)
−0.301364 + 0.953509i \(0.597442\pi\)
\(192\) 2.98607 + 7.42182i 0.215501 + 0.535624i
\(193\) 5.73404i 0.412745i 0.978473 + 0.206373i \(0.0661659\pi\)
−0.978473 + 0.206373i \(0.933834\pi\)
\(194\) −9.07499 3.09772i −0.651546 0.222404i
\(195\) −0.886086 + 0.978596i −0.0634539 + 0.0700787i
\(196\) 0.463796 + 0.358390i 0.0331283 + 0.0255993i
\(197\) −3.23239 3.23239i −0.230298 0.230298i 0.582519 0.812817i \(-0.302067\pi\)
−0.812817 + 0.582519i \(0.802067\pi\)
\(198\) −7.89232 + 3.87543i −0.560883 + 0.275415i
\(199\) 19.0599i 1.35112i 0.737303 + 0.675562i \(0.236099\pi\)
−0.737303 + 0.675562i \(0.763901\pi\)
\(200\) −8.92654 10.9689i −0.631201 0.775619i
\(201\) 10.1419i 0.715354i
\(202\) −8.88272 18.0897i −0.624986 1.27279i
\(203\) 9.67824 + 9.67824i 0.679279 + 0.679279i
\(204\) 1.12008 + 8.73684i 0.0784212 + 0.611701i
\(205\) −7.75200 + 8.56134i −0.541423 + 0.597950i
\(206\) 2.15396 6.31016i 0.150073 0.439650i
\(207\) 0.281063i 0.0195352i
\(208\) 2.03711 + 1.19463i 0.141248 + 0.0828328i
\(209\) −39.8899 −2.75924
\(210\) −2.25832 + 7.87206i −0.155839 + 0.543224i
\(211\) 4.43719 + 4.43719i 0.305469 + 0.305469i 0.843149 0.537680i \(-0.180699\pi\)
−0.537680 + 0.843149i \(0.680699\pi\)
\(212\) 1.04110 + 8.12075i 0.0715027 + 0.557735i
\(213\) 11.2767 + 11.2767i 0.772670 + 0.772670i
\(214\) −23.2820 + 11.4323i −1.59152 + 0.781498i
\(215\) −0.418267 8.43078i −0.0285256 0.574975i
\(216\) −2.77124 0.565912i −0.188559 0.0385054i
\(217\) −7.90485 −0.536616
\(218\) −0.687402 + 0.337541i −0.0465568 + 0.0228611i
\(219\) 7.47142 7.47142i 0.504871 0.504871i
\(220\) −22.8164 15.8898i −1.53828 1.07129i
\(221\) 1.83860 + 1.83860i 0.123678 + 0.123678i
\(222\) 3.39995 9.96039i 0.228190 0.668498i
\(223\) 5.10536i 0.341880i −0.985281 0.170940i \(-0.945320\pi\)
0.985281 0.170940i \(-0.0546805\pi\)
\(224\) 14.6100 + 1.08213i 0.976169 + 0.0723031i
\(225\) 4.97545 0.494901i 0.331696 0.0329934i
\(226\) 16.3098 + 5.56730i 1.08491 + 0.370331i
\(227\) −15.0563 + 15.0563i −0.999320 + 0.999320i −1.00000 0.000680242i \(-0.999783\pi\)
0.000680242 1.00000i \(0.499783\pi\)
\(228\) −10.1538 7.84617i −0.672452 0.519626i
\(229\) 17.5250 17.5250i 1.15809 1.15809i 0.173200 0.984887i \(-0.444589\pi\)
0.984887 0.173200i \(-0.0554108\pi\)
\(230\) 0.777413 0.430803i 0.0512611 0.0284063i
\(231\) 16.1012i 1.05938i
\(232\) −14.6461 2.99087i −0.961565 0.196360i
\(233\) 9.15254 0.599603 0.299802 0.954002i \(-0.403080\pi\)
0.299802 + 0.954002i \(0.403080\pi\)
\(234\) −0.749457 + 0.368012i −0.0489936 + 0.0240577i
\(235\) −11.1844 + 12.3521i −0.729588 + 0.805759i
\(236\) 12.9254 1.65706i 0.841371 0.107865i
\(237\) −3.20960 + 3.20960i −0.208486 + 0.208486i
\(238\) 15.2654 + 5.21081i 0.989509 + 0.337766i
\(239\) −12.9198 −0.835713 −0.417857 0.908513i \(-0.637219\pi\)
−0.417857 + 0.908513i \(0.637219\pi\)
\(240\) −2.68235 8.53258i −0.173145 0.550776i
\(241\) 10.7071 0.689703 0.344851 0.938657i \(-0.387929\pi\)
0.344851 + 0.938657i \(0.387929\pi\)
\(242\) −37.0115 12.6338i −2.37919 0.812131i
\(243\) 0.707107 0.707107i 0.0453609 0.0453609i
\(244\) 0.0760037 + 0.592844i 0.00486564 + 0.0379530i
\(245\) −0.485769 0.439847i −0.0310346 0.0281008i
\(246\) −6.55670 + 3.21959i −0.418040 + 0.205273i
\(247\) −3.78796 −0.241022
\(248\) 7.20264 4.75980i 0.457368 0.302248i
\(249\) 6.45814i 0.409268i
\(250\) 8.99508 + 13.0034i 0.568899 + 0.822408i
\(251\) −4.48257 + 4.48257i −0.282937 + 0.282937i −0.834279 0.551342i \(-0.814116\pi\)
0.551342 + 0.834279i \(0.314116\pi\)
\(252\) −3.16704 + 4.09849i −0.199505 + 0.258181i
\(253\) 1.23562 1.23562i 0.0776827 0.0776827i
\(254\) 9.03817 + 3.08516i 0.567105 + 0.193580i
\(255\) −0.487979 9.83593i −0.0305584 0.615950i
\(256\) −13.9637 + 7.81119i −0.872732 + 0.488199i
\(257\) 16.9307i 1.05610i −0.849212 0.528052i \(-0.822922\pi\)
0.849212 0.528052i \(-0.177078\pi\)
\(258\) 1.72463 5.05241i 0.107371 0.314550i
\(259\) −13.6283 13.6283i −0.846821 0.846821i
\(260\) −2.16666 1.50891i −0.134370 0.0935784i
\(261\) 3.73710 3.73710i 0.231321 0.231321i
\(262\) 7.09666 3.48473i 0.438433 0.215287i
\(263\) −2.07893 −0.128192 −0.0640962 0.997944i \(-0.520416\pi\)
−0.0640962 + 0.997944i \(0.520416\pi\)
\(264\) −9.69512 14.6709i −0.596694 0.902931i
\(265\) −0.453569 9.14234i −0.0278625 0.561609i
\(266\) −21.0930 + 10.3574i −1.29329 + 0.635055i
\(267\) −7.26517 7.26517i −0.444621 0.444621i
\(268\) 20.1191 2.57931i 1.22897 0.157556i
\(269\) −16.0709 16.0709i −0.979860 0.979860i 0.0199408 0.999801i \(-0.493652\pi\)
−0.999801 + 0.0199408i \(0.993652\pi\)
\(270\) 3.03967 + 0.872013i 0.184988 + 0.0530690i
\(271\) 4.18571 0.254264 0.127132 0.991886i \(-0.459423\pi\)
0.127132 + 0.991886i \(0.459423\pi\)
\(272\) −17.0470 + 4.44394i −1.03362 + 0.269454i
\(273\) 1.52898i 0.0925378i
\(274\) 2.37345 6.95318i 0.143385 0.420057i
\(275\) 24.0489 + 19.6975i 1.45021 + 1.18781i
\(276\) 0.557562 0.0714805i 0.0335613 0.00430262i
\(277\) 15.8235 + 15.8235i 0.950744 + 0.950744i 0.998843 0.0480985i \(-0.0153161\pi\)
−0.0480985 + 0.998843i \(0.515316\pi\)
\(278\) −0.861278 1.75400i −0.0516560 0.105198i
\(279\) 3.05233i 0.182738i
\(280\) −16.1907 2.47793i −0.967577 0.148084i
\(281\) 12.6546i 0.754911i 0.926028 + 0.377455i \(0.123201\pi\)
−0.926028 + 0.377455i \(0.876799\pi\)
\(282\) −9.45981 + 4.64513i −0.563324 + 0.276613i
\(283\) −1.54865 1.54865i −0.0920579 0.0920579i 0.659578 0.751636i \(-0.270735\pi\)
−0.751636 + 0.659578i \(0.770735\pi\)
\(284\) −19.5025 + 25.2383i −1.15726 + 1.49762i
\(285\) 10.6349 + 9.62951i 0.629955 + 0.570403i
\(286\) −4.91266 1.67692i −0.290492 0.0991586i
\(287\) 13.3764i 0.789583i
\(288\) 0.417848 5.64140i 0.0246220 0.332423i
\(289\) −2.39672 −0.140983
\(290\) 16.0648 + 4.60863i 0.943359 + 0.270628i
\(291\) 4.79456 + 4.79456i 0.281062 + 0.281062i
\(292\) 16.7217 + 12.9214i 0.978562 + 0.756166i
\(293\) 21.2881 + 21.2881i 1.24366 + 1.24366i 0.958470 + 0.285194i \(0.0920582\pi\)
0.285194 + 0.958470i \(0.407942\pi\)
\(294\) −0.182679 0.372026i −0.0106540 0.0216970i
\(295\) −14.5514 + 0.721922i −0.847215 + 0.0420319i
\(296\) 20.6237 + 4.21156i 1.19873 + 0.244792i
\(297\) 6.21722 0.360760
\(298\) −9.96582 20.2954i −0.577304 1.17568i
\(299\) 0.117335 0.117335i 0.00678565 0.00678565i
\(300\) 2.24713 + 9.74425i 0.129738 + 0.562584i
\(301\) −6.91296 6.91296i −0.398456 0.398456i
\(302\) 3.84501 + 1.31249i 0.221256 + 0.0755251i
\(303\) 14.2502i 0.818655i
\(304\) 12.9826 22.1382i 0.744604 1.26971i
\(305\) −0.0331122 0.667424i −0.00189600 0.0382166i
\(306\) 2.01207 5.89449i 0.115022 0.336966i
\(307\) −12.2344 + 12.2344i −0.698255 + 0.698255i −0.964034 0.265779i \(-0.914371\pi\)
0.265779 + 0.964034i \(0.414371\pi\)
\(308\) −31.9410 + 4.09489i −1.82001 + 0.233328i
\(309\) −3.33383 + 3.33383i −0.189655 + 0.189655i
\(310\) −8.44267 + 4.67850i −0.479512 + 0.265721i
\(311\) 19.4874i 1.10503i −0.833503 0.552515i \(-0.813668\pi\)
0.833503 0.552515i \(-0.186332\pi\)
\(312\) −0.920653 1.39315i −0.0521217 0.0788718i
\(313\) 9.73432 0.550217 0.275108 0.961413i \(-0.411286\pi\)
0.275108 + 0.961413i \(0.411286\pi\)
\(314\) −5.05573 10.2960i −0.285311 0.581037i
\(315\) 3.88686 4.29266i 0.219000 0.241864i
\(316\) −7.18337 5.55083i −0.404096 0.312258i
\(317\) −8.46658 + 8.46658i −0.475530 + 0.475530i −0.903699 0.428168i \(-0.859159\pi\)
0.428168 + 0.903699i \(0.359159\pi\)
\(318\) 1.87019 5.47883i 0.104875 0.307238i
\(319\) 32.8583 1.83971
\(320\) 16.2445 7.49118i 0.908092 0.418770i
\(321\) 18.3405 1.02367
\(322\) 0.332540 0.974199i 0.0185317 0.0542900i
\(323\) 19.9809 19.9809i 1.11177 1.11177i
\(324\) 1.58257 + 1.22290i 0.0879203 + 0.0679389i
\(325\) 2.28370 + 1.87049i 0.126677 + 0.103756i
\(326\) −10.5397 21.4641i −0.583739 1.18879i
\(327\) 0.541505 0.0299453
\(328\) −8.05442 12.1881i −0.444731 0.672977i
\(329\) 19.2991i 1.06399i
\(330\) 9.52954 + 17.1967i 0.524584 + 0.946646i
\(331\) 7.11555 7.11555i 0.391106 0.391106i −0.483975 0.875082i \(-0.660808\pi\)
0.875082 + 0.483975i \(0.160808\pi\)
\(332\) 12.8114 1.64245i 0.703119 0.0901411i
\(333\) −5.26234 + 5.26234i −0.288375 + 0.288375i
\(334\) 4.21982 12.3622i 0.230898 0.676431i
\(335\) −22.6501 + 1.12371i −1.23751 + 0.0613951i
\(336\) −8.93589 5.24032i −0.487493 0.285883i
\(337\) 15.8355i 0.862613i −0.902205 0.431307i \(-0.858053\pi\)
0.902205 0.431307i \(-0.141947\pi\)
\(338\) 16.9325 + 5.77988i 0.921009 + 0.314384i
\(339\) −8.61689 8.61689i −0.468005 0.468005i
\(340\) 19.3881 3.46953i 1.05146 0.188162i
\(341\) −13.4188 + 13.4188i −0.726667 + 0.726667i
\(342\) 3.99936 + 8.14471i 0.216261 + 0.440415i
\(343\) −18.8874 −1.01982
\(344\) 10.4614 + 2.13632i 0.564041 + 0.115182i
\(345\) −0.627703 + 0.0311416i −0.0337944 + 0.00167661i
\(346\) −2.08207 4.24014i −0.111933 0.227951i
\(347\) 9.38020 + 9.38020i 0.503555 + 0.503555i 0.912541 0.408986i \(-0.134117\pi\)
−0.408986 + 0.912541i \(0.634117\pi\)
\(348\) 8.36395 + 6.46309i 0.448355 + 0.346458i
\(349\) 0.479184 + 0.479184i 0.0256501 + 0.0256501i 0.719816 0.694165i \(-0.244226\pi\)
−0.694165 + 0.719816i \(0.744226\pi\)
\(350\) 17.8311 + 4.17133i 0.953110 + 0.222967i
\(351\) 0.590389 0.0315127
\(352\) 26.6379 22.9640i 1.41980 1.22398i
\(353\) 8.95345i 0.476544i −0.971198 0.238272i \(-0.923419\pi\)
0.971198 0.238272i \(-0.0765810\pi\)
\(354\) −8.72038 2.97668i −0.463483 0.158209i
\(355\) 23.9351 26.4340i 1.27034 1.40297i
\(356\) 12.5647 16.2601i 0.665928 0.861783i
\(357\) −8.06513 8.06513i −0.426852 0.426852i
\(358\) 16.6455 8.17359i 0.879744 0.431988i
\(359\) 3.47704i 0.183511i −0.995782 0.0917556i \(-0.970752\pi\)
0.995782 0.0917556i \(-0.0292478\pi\)
\(360\) −0.956812 + 6.25176i −0.0504284 + 0.329497i
\(361\) 22.1655i 1.16661i
\(362\) 9.31843 + 18.9770i 0.489766 + 0.997409i
\(363\) 19.5542 + 19.5542i 1.02633 + 1.02633i
\(364\) −3.03313 + 0.388853i −0.158979 + 0.0203814i
\(365\) −17.5139 15.8582i −0.916719 0.830058i
\(366\) 0.136530 0.399975i 0.00713656 0.0209070i
\(367\) 15.1190i 0.789206i −0.918852 0.394603i \(-0.870882\pi\)
0.918852 0.394603i \(-0.129118\pi\)
\(368\) 0.283601 + 1.08789i 0.0147837 + 0.0567103i
\(369\) 5.16508 0.268883
\(370\) −22.6215 6.48959i −1.17603 0.337377i
\(371\) −7.49640 7.49640i −0.389194 0.389194i
\(372\) −6.05510 + 0.776275i −0.313942 + 0.0402480i
\(373\) −19.0505 19.0505i −0.986398 0.986398i 0.0135107 0.999909i \(-0.495699\pi\)
−0.999909 + 0.0135107i \(0.995699\pi\)
\(374\) 34.7591 17.0680i 1.79735 0.882567i
\(375\) −1.65655 11.0569i −0.0855438 0.570978i
\(376\) −11.6207 17.5847i −0.599291 0.906861i
\(377\) 3.12024 0.160701
\(378\) 3.28754 1.61430i 0.169093 0.0830309i
\(379\) 3.52823 3.52823i 0.181233 0.181233i −0.610660 0.791893i \(-0.709096\pi\)
0.791893 + 0.610660i \(0.209096\pi\)
\(380\) −16.3980 + 23.5461i −0.841199 + 1.20789i
\(381\) −4.77511 4.77511i −0.244636 0.244636i
\(382\) −3.80555 + 11.1486i −0.194709 + 0.570413i
\(383\) 3.20268i 0.163649i −0.996647 0.0818246i \(-0.973925\pi\)
0.996647 0.0818246i \(-0.0260747\pi\)
\(384\) 11.2975 0.605821i 0.576522 0.0309157i
\(385\) 35.9591 1.78400i 1.83265 0.0909211i
\(386\) 7.67438 + 2.61963i 0.390615 + 0.133336i
\(387\) −2.66933 + 2.66933i −0.135690 + 0.135690i
\(388\) −8.29192 + 10.7306i −0.420958 + 0.544766i
\(389\) 16.9595 16.9595i 0.859882 0.859882i −0.131441 0.991324i \(-0.541961\pi\)
0.991324 + 0.131441i \(0.0419605\pi\)
\(390\) 0.904928 + 1.63300i 0.0458228 + 0.0826904i
\(391\) 1.23785i 0.0626007i
\(392\) 0.691553 0.457006i 0.0349287 0.0230823i
\(393\) −5.59043 −0.282000
\(394\) −5.80292 + 2.84945i −0.292347 + 0.143553i
\(395\) 7.52370 + 6.81246i 0.378558 + 0.342772i
\(396\) 1.58118 + 12.3335i 0.0794571 + 0.619781i
\(397\) 15.8392 15.8392i 0.794946 0.794946i −0.187348 0.982294i \(-0.559989\pi\)
0.982294 + 0.187348i \(0.0599891\pi\)
\(398\) 25.5096 + 8.70764i 1.27868 + 0.436475i
\(399\) 16.6161 0.831845
\(400\) −18.7588 + 6.93596i −0.937940 + 0.346798i
\(401\) −10.8608 −0.542364 −0.271182 0.962528i \(-0.587414\pi\)
−0.271182 + 0.962528i \(0.587414\pi\)
\(402\) −13.5738 4.63338i −0.676999 0.231092i
\(403\) −1.27425 + 1.27425i −0.0634750 + 0.0634750i
\(404\) −28.2691 + 3.62416i −1.40644 + 0.180308i
\(405\) −1.65754 1.50085i −0.0823640 0.0745778i
\(406\) 17.3748 8.53169i 0.862297 0.423421i
\(407\) −46.2690 −2.29347
\(408\) 12.2050 + 2.49237i 0.604237 + 0.123391i
\(409\) 12.5363i 0.619880i −0.950756 0.309940i \(-0.899691\pi\)
0.950756 0.309940i \(-0.100309\pi\)
\(410\) 7.91685 + 14.2865i 0.390985 + 0.705559i
\(411\) −3.67355 + 3.67355i −0.181203 + 0.181203i
\(412\) −7.46140 5.76566i −0.367597 0.284054i
\(413\) −11.9316 + 11.9316i −0.587118 + 0.587118i
\(414\) −0.376171 0.128405i −0.0184878 0.00631077i
\(415\) −14.4231 + 0.715558i −0.708002 + 0.0351253i
\(416\) 2.52954 2.18067i 0.124021 0.106916i
\(417\) 1.38172i 0.0676631i
\(418\) −18.2239 + 53.3882i −0.891361 + 2.61130i
\(419\) −21.6745 21.6745i −1.05887 1.05887i −0.998155 0.0607123i \(-0.980663\pi\)
−0.0607123 0.998155i \(-0.519337\pi\)
\(420\) 9.50415 + 6.61890i 0.463755 + 0.322969i
\(421\) −9.02933 + 9.02933i −0.440063 + 0.440063i −0.892033 0.451970i \(-0.850721\pi\)
0.451970 + 0.892033i \(0.350721\pi\)
\(422\) 7.96585 3.91153i 0.387771 0.190410i
\(423\) 7.45202 0.362330
\(424\) 11.3443 + 2.31662i 0.550930 + 0.112505i
\(425\) −21.9127 + 2.17963i −1.06292 + 0.105727i
\(426\) 20.2445 9.94082i 0.980849 0.481634i
\(427\) −0.547265 0.547265i −0.0264840 0.0264840i
\(428\) 4.66440 + 36.3832i 0.225462 + 1.75865i
\(429\) 2.59549 + 2.59549i 0.125312 + 0.125312i
\(430\) −11.4747 3.29185i −0.553362 0.158747i
\(431\) −22.1994 −1.06931 −0.534653 0.845072i \(-0.679558\pi\)
−0.534653 + 0.845072i \(0.679558\pi\)
\(432\) −2.02346 + 3.45045i −0.0973539 + 0.166010i
\(433\) 31.1117i 1.49513i −0.664187 0.747566i \(-0.731222\pi\)
0.664187 0.747566i \(-0.268778\pi\)
\(434\) −3.61137 + 10.5798i −0.173351 + 0.507844i
\(435\) −8.76021 7.93207i −0.420020 0.380314i
\(436\) 0.137717 + 1.07422i 0.00659544 + 0.0514457i
\(437\) −1.27513 1.27513i −0.0609979 0.0609979i
\(438\) −6.58630 13.4130i −0.314705 0.640898i
\(439\) 0.460911i 0.0219981i 0.999940 + 0.0109990i \(0.00350117\pi\)
−0.999940 + 0.0109990i \(0.996499\pi\)
\(440\) −31.6906 + 23.2779i −1.51079 + 1.10973i
\(441\) 0.293066i 0.0139555i
\(442\) 3.30074 1.62079i 0.157000 0.0770930i
\(443\) −2.88482 2.88482i −0.137062 0.137062i 0.635247 0.772309i \(-0.280898\pi\)
−0.772309 + 0.635247i \(0.780898\pi\)
\(444\) −11.7776 9.10092i −0.558939 0.431910i
\(445\) −15.4205 + 17.0304i −0.731001 + 0.807321i
\(446\) −6.83295 2.33241i −0.323550 0.110443i
\(447\) 15.9878i 0.756198i
\(448\) 8.12295 19.0594i 0.383774 0.900473i
\(449\) 3.02196 0.142615 0.0713075 0.997454i \(-0.477283\pi\)
0.0713075 + 0.997454i \(0.477283\pi\)
\(450\) 1.61069 6.88518i 0.0759287 0.324570i
\(451\) 22.7069 + 22.7069i 1.06923 + 1.06923i
\(452\) 14.9024 19.2854i 0.700951 0.907107i
\(453\) −2.03143 2.03143i −0.0954447 0.0954447i
\(454\) 13.2726 + 27.0297i 0.622914 + 1.26857i
\(455\) 3.41469 0.169409i 0.160083 0.00794204i
\(456\) −15.1400 + 10.0052i −0.708998 + 0.468535i
\(457\) −4.69013 −0.219395 −0.109698 0.993965i \(-0.534988\pi\)
−0.109698 + 0.993965i \(0.534988\pi\)
\(458\) −15.4489 31.4617i −0.721879 1.47011i
\(459\) −3.11422 + 3.11422i −0.145359 + 0.145359i
\(460\) −0.221416 1.23730i −0.0103236 0.0576892i
\(461\) 20.9304 + 20.9304i 0.974824 + 0.974824i 0.999691 0.0248664i \(-0.00791605\pi\)
−0.0248664 + 0.999691i \(0.507916\pi\)
\(462\) 21.5496 + 7.35592i 1.00258 + 0.342228i
\(463\) 25.5190i 1.18597i −0.805215 0.592983i \(-0.797950\pi\)
0.805215 0.592983i \(-0.202050\pi\)
\(464\) −10.6941 + 18.2358i −0.496462 + 0.846576i
\(465\) 6.81683 0.338196i 0.316123 0.0156835i
\(466\) 4.18139 12.2497i 0.193699 0.567454i
\(467\) 20.6018 20.6018i 0.953336 0.953336i −0.0456227 0.998959i \(-0.514527\pi\)
0.998959 + 0.0456227i \(0.0145272\pi\)
\(468\) 0.150149 + 1.17119i 0.00694065 + 0.0541384i
\(469\) −18.5723 + 18.5723i −0.857590 + 0.857590i
\(470\) 11.4222 + 20.6121i 0.526867 + 0.950766i
\(471\) 8.11074i 0.373723i
\(472\) 3.68725 18.0562i 0.169719 0.831105i
\(473\) −23.4700 −1.07915
\(474\) 2.82937 + 5.76202i 0.129957 + 0.264658i
\(475\) 20.3275 24.8180i 0.932687 1.13873i
\(476\) 13.9482 18.0504i 0.639313 0.827341i
\(477\) −2.89462 + 2.89462i −0.132535 + 0.132535i
\(478\) −5.90249 + 17.2917i −0.269973 + 0.790905i
\(479\) 30.6830 1.40194 0.700972 0.713189i \(-0.252750\pi\)
0.700972 + 0.713189i \(0.252750\pi\)
\(480\) −12.6454 0.308126i −0.577179 0.0140640i
\(481\) −4.39372 −0.200337
\(482\) 4.89158 14.3302i 0.222806 0.652723i
\(483\) −0.514696 + 0.514696i −0.0234195 + 0.0234195i
\(484\) −33.8178 + 43.7640i −1.53717 + 1.98927i
\(485\) 10.1766 11.2390i 0.462094 0.510338i
\(486\) −0.623338 1.26943i −0.0282752 0.0575825i
\(487\) −4.53105 −0.205322 −0.102661 0.994716i \(-0.532736\pi\)
−0.102661 + 0.994716i \(0.532736\pi\)
\(488\) 0.828178 + 0.169122i 0.0374899 + 0.00765578i
\(489\) 16.9085i 0.764628i
\(490\) −0.810613 + 0.449201i −0.0366198 + 0.0202928i
\(491\) 2.06787 2.06787i 0.0933215 0.0933215i −0.658905 0.752226i \(-0.728980\pi\)
0.752226 + 0.658905i \(0.228980\pi\)
\(492\) 1.31359 + 10.2463i 0.0592214 + 0.461939i
\(493\) −16.4588 + 16.4588i −0.741268 + 0.741268i
\(494\) −1.73055 + 5.06976i −0.0778612 + 0.228099i
\(495\) −0.688864 13.8850i −0.0309621 0.624086i
\(496\) −3.07989 11.8145i −0.138291 0.530485i
\(497\) 41.3010i 1.85260i
\(498\) −8.64350 2.95044i −0.387325 0.132212i
\(499\) −27.0618 27.0618i −1.21145 1.21145i −0.970549 0.240906i \(-0.922556\pi\)
−0.240906 0.970549i \(-0.577444\pi\)
\(500\) 21.5131 6.09823i 0.962093 0.272721i
\(501\) −6.53130 + 6.53130i −0.291797 + 0.291797i
\(502\) 3.95153 + 8.04730i 0.176365 + 0.359169i
\(503\) 8.42170 0.375505 0.187753 0.982216i \(-0.439880\pi\)
0.187753 + 0.982216i \(0.439880\pi\)
\(504\) 4.03849 + 6.11114i 0.179889 + 0.272212i
\(505\) 31.8254 1.57892i 1.41621 0.0702609i
\(506\) −1.08924 2.21824i −0.0484225 0.0986126i
\(507\) −8.94592 8.94592i −0.397302 0.397302i
\(508\) 8.25828 10.6871i 0.366402 0.474164i
\(509\) 22.5863 + 22.5863i 1.00112 + 1.00112i 0.999999 + 0.00112047i \(0.000356656\pi\)
0.00112047 + 0.999999i \(0.499643\pi\)
\(510\) −13.3872 3.84049i −0.592796 0.170060i
\(511\) −27.3640 −1.21051
\(512\) 4.07501 + 22.2575i 0.180092 + 0.983650i
\(513\) 6.41604i 0.283275i
\(514\) −22.6598 7.73486i −0.999480 0.341170i
\(515\) 7.81490 + 7.07612i 0.344365 + 0.311811i
\(516\) −5.97418 4.61645i −0.262999 0.203228i
\(517\) 32.7609 + 32.7609i 1.44082 + 1.44082i
\(518\) −24.4661 + 12.0138i −1.07498 + 0.527855i
\(519\) 3.34020i 0.146618i
\(520\) −3.00935 + 2.21047i −0.131969 + 0.0969357i
\(521\) 30.9260i 1.35489i 0.735572 + 0.677447i \(0.236914\pi\)
−0.735572 + 0.677447i \(0.763086\pi\)
\(522\) −3.29437 6.70900i −0.144191 0.293645i
\(523\) −26.4425 26.4425i −1.15625 1.15625i −0.985276 0.170974i \(-0.945309\pi\)
−0.170974 0.985276i \(-0.554691\pi\)
\(524\) −1.42177 11.0901i −0.0621104 0.484473i
\(525\) −10.0176 8.20499i −0.437202 0.358095i
\(526\) −0.949771 + 2.78242i −0.0414120 + 0.121319i
\(527\) 13.4430i 0.585585i
\(528\) −24.0646 + 6.27336i −1.04728 + 0.273013i
\(529\) −22.9210 −0.996565
\(530\) −12.4432 3.56968i −0.540498 0.155057i
\(531\) 4.60721 + 4.60721i 0.199936 + 0.199936i
\(532\) 4.22584 + 32.9624i 0.183214 + 1.42910i
\(533\) 2.15626 + 2.15626i 0.0933978 + 0.0933978i
\(534\) −13.0428 + 6.40449i −0.564415 + 0.277149i
\(535\) −2.03211 40.9602i −0.0878560 1.77086i
\(536\) 5.73942 28.1056i 0.247905 1.21398i
\(537\) −13.1126 −0.565851
\(538\) −28.8512 + 14.1670i −1.24386 + 0.610784i
\(539\) −1.28839 + 1.28839i −0.0554947 + 0.0554947i
\(540\) 2.55578 3.66987i 0.109983 0.157926i
\(541\) 21.6730 + 21.6730i 0.931794 + 0.931794i 0.997818 0.0660242i \(-0.0210315\pi\)
−0.0660242 + 0.997818i \(0.521031\pi\)
\(542\) 1.91227 5.60211i 0.0821389 0.240631i
\(543\) 14.9492i 0.641533i
\(544\) −1.84028 + 24.8457i −0.0789012 + 1.06525i
\(545\) −0.0599984 1.20935i −0.00257005 0.0518031i
\(546\) 2.04636 + 0.698521i 0.0875763 + 0.0298939i
\(547\) 2.92159 2.92159i 0.124918 0.124918i −0.641884 0.766802i \(-0.721847\pi\)
0.766802 + 0.641884i \(0.221847\pi\)
\(548\) −8.22173 6.35320i −0.351215 0.271395i
\(549\) −0.211318 + 0.211318i −0.00901881 + 0.00901881i
\(550\) 37.3499 23.1879i 1.59260 0.988735i
\(551\) 33.9091i 1.44458i
\(552\) 0.159057 0.778891i 0.00676990 0.0331518i
\(553\) 11.7552 0.499880
\(554\) 28.4071 13.9490i 1.20690 0.592635i
\(555\) 12.3356 + 11.1694i 0.523616 + 0.474116i
\(556\) −2.74101 + 0.351402i −0.116245 + 0.0149028i
\(557\) −25.5453 + 25.5453i −1.08239 + 1.08239i −0.0861022 + 0.996286i \(0.527441\pi\)
−0.996286 + 0.0861022i \(0.972559\pi\)
\(558\) 4.08520 + 1.39447i 0.172940 + 0.0590328i
\(559\) −2.22872 −0.0942648
\(560\) −10.7132 + 20.5373i −0.452716 + 0.867860i
\(561\) −27.3817 −1.15606
\(562\) 16.9368 + 5.78133i 0.714435 + 0.243871i
\(563\) −11.6203 + 11.6203i −0.489736 + 0.489736i −0.908223 0.418487i \(-0.862561\pi\)
0.418487 + 0.908223i \(0.362561\pi\)
\(564\) 1.89522 + 14.7831i 0.0798030 + 0.622479i
\(565\) −18.2895 + 20.1990i −0.769447 + 0.849780i
\(566\) −2.78021 + 1.36519i −0.116861 + 0.0573832i
\(567\) −2.58977 −0.108760
\(568\) 24.8689 + 37.6321i 1.04347 + 1.57901i
\(569\) 13.3498i 0.559654i −0.960050 0.279827i \(-0.909723\pi\)
0.960050 0.279827i \(-0.0902771\pi\)
\(570\) 17.7466 9.83428i 0.743324 0.411913i
\(571\) −23.5430 + 23.5430i −0.985244 + 0.985244i −0.999893 0.0146492i \(-0.995337\pi\)
0.0146492 + 0.999893i \(0.495337\pi\)
\(572\) −4.48875 + 5.80893i −0.187684 + 0.242884i
\(573\) 5.89011 5.89011i 0.246063 0.246063i
\(574\) 17.9028 + 6.11108i 0.747248 + 0.255071i
\(575\) 0.139098 + 1.39841i 0.00580080 + 0.0583179i
\(576\) −7.35949 3.13655i −0.306645 0.130690i
\(577\) 34.7117i 1.44507i 0.691335 + 0.722534i \(0.257023\pi\)
−0.691335 + 0.722534i \(0.742977\pi\)
\(578\) −1.09495 + 3.20774i −0.0455441 + 0.133424i
\(579\) −4.05458 4.05458i −0.168503 0.168503i
\(580\) 13.5074 19.3955i 0.560866 0.805354i
\(581\) −11.8265 + 11.8265i −0.490644 + 0.490644i
\(582\) 8.60741 4.22656i 0.356789 0.175197i
\(583\) −25.4508 −1.05407
\(584\) 24.9332 16.4769i 1.03174 0.681818i
\(585\) −0.0654147 1.31853i −0.00270457 0.0545145i
\(586\) 38.2173 18.7662i 1.57874 0.775223i
\(587\) 26.8949 + 26.8949i 1.11007 + 1.11007i 0.993140 + 0.116931i \(0.0373057\pi\)
0.116931 + 0.993140i \(0.462694\pi\)
\(588\) −0.581373 + 0.0745331i −0.0239754 + 0.00307369i
\(589\) 13.8479 + 13.8479i 0.570592 + 0.570592i
\(590\) −5.68167 + 19.8052i −0.233911 + 0.815368i
\(591\) 4.57128 0.188037
\(592\) 15.0588 25.6785i 0.618912 1.05538i
\(593\) 8.25028i 0.338798i 0.985548 + 0.169399i \(0.0541827\pi\)
−0.985548 + 0.169399i \(0.945817\pi\)
\(594\) 2.84037 8.32105i 0.116542 0.341417i
\(595\) −17.1184 + 18.9056i −0.701786 + 0.775055i
\(596\) −31.7161 + 4.06606i −1.29914 + 0.166552i
\(597\) −13.4774 13.4774i −0.551594 0.551594i
\(598\) −0.103434 0.210645i −0.00422975 0.00861390i
\(599\) 19.6734i 0.803832i 0.915677 + 0.401916i \(0.131656\pi\)
−0.915677 + 0.401916i \(0.868344\pi\)
\(600\) 14.0682 + 1.44418i 0.574332 + 0.0589583i
\(601\) 30.0313i 1.22500i −0.790470 0.612501i \(-0.790164\pi\)
0.790470 0.612501i \(-0.209836\pi\)
\(602\) −12.4104 + 6.09400i −0.505812 + 0.248373i
\(603\) 7.17140 + 7.17140i 0.292042 + 0.292042i
\(604\) 3.51323 4.54651i 0.142951 0.184995i
\(605\) 41.5042 45.8374i 1.68739 1.86355i
\(606\) 19.0724 + 6.51030i 0.774762 + 0.264463i
\(607\) 5.52944i 0.224433i −0.993684 0.112217i \(-0.964205\pi\)
0.993684 0.112217i \(-0.0357950\pi\)
\(608\) −23.6983 27.4897i −0.961095 1.11486i
\(609\) −13.6871 −0.554629
\(610\) −0.908400 0.260599i −0.0367800 0.0105514i
\(611\) 3.11098 + 3.11098i 0.125857 + 0.125857i
\(612\) −6.96989 5.38586i −0.281741 0.217711i
\(613\) 28.9851 + 28.9851i 1.17070 + 1.17070i 0.982044 + 0.188653i \(0.0604122\pi\)
0.188653 + 0.982044i \(0.439588\pi\)
\(614\) 10.7850 + 21.9638i 0.435249 + 0.886385i
\(615\) −0.572287 11.5353i −0.0230768 0.465147i
\(616\) −9.11185 + 44.6202i −0.367127 + 1.79780i
\(617\) 26.5578 1.06918 0.534588 0.845113i \(-0.320467\pi\)
0.534588 + 0.845113i \(0.320467\pi\)
\(618\) 2.93888 + 5.98504i 0.118219 + 0.240753i
\(619\) 5.91235 5.91235i 0.237638 0.237638i −0.578234 0.815871i \(-0.696258\pi\)
0.815871 + 0.578234i \(0.196258\pi\)
\(620\) 2.40457 + 13.4370i 0.0965700 + 0.539642i
\(621\) 0.198741 + 0.198741i 0.00797522 + 0.00797522i
\(622\) −26.0817 8.90293i −1.04578 0.356975i
\(623\) 26.6087i 1.06605i
\(624\) −2.28519 + 0.595721i −0.0914806 + 0.0238479i
\(625\) −24.5101 + 4.92471i −0.980406 + 0.196988i
\(626\) 4.44718 13.0283i 0.177745 0.520716i
\(627\) 28.2064 28.2064i 1.12646 1.12646i
\(628\) −16.0898 + 2.06274i −0.642053 + 0.0823124i
\(629\) 23.1763 23.1763i 0.924098 0.924098i
\(630\) −3.96952 7.16326i −0.158149 0.285391i
\(631\) 37.6881i 1.50034i 0.661246 + 0.750169i \(0.270028\pi\)
−0.661246 + 0.750169i \(0.729972\pi\)
\(632\) −10.7109 + 7.07822i −0.426058 + 0.281556i
\(633\) −6.27514 −0.249414
\(634\) 7.46357 + 15.1996i 0.296416 + 0.603652i
\(635\) −10.1353 + 11.1934i −0.402206 + 0.444198i
\(636\) −6.47840 5.00607i −0.256885 0.198504i
\(637\) −0.122346 + 0.122346i −0.00484751 + 0.00484751i
\(638\) 15.0115 43.9772i 0.594311 1.74107i
\(639\) −15.9477 −0.630882
\(640\) −2.60475 25.1638i −0.102962 0.994685i
\(641\) 36.5113 1.44211 0.721055 0.692878i \(-0.243657\pi\)
0.721055 + 0.692878i \(0.243657\pi\)
\(642\) 8.37896 24.5467i 0.330691 0.968781i
\(643\) −12.1973 + 12.1973i −0.481014 + 0.481014i −0.905455 0.424441i \(-0.860471\pi\)
0.424441 + 0.905455i \(0.360471\pi\)
\(644\) −1.15193 0.890136i −0.0453925 0.0350763i
\(645\) 6.25722 + 5.66570i 0.246378 + 0.223087i
\(646\) −17.6139 35.8707i −0.693008 1.41131i
\(647\) 16.5371 0.650142 0.325071 0.945690i \(-0.394612\pi\)
0.325071 + 0.945690i \(0.394612\pi\)
\(648\) 2.35972 1.55940i 0.0926985 0.0612590i
\(649\) 40.5088i 1.59011i
\(650\) 3.54676 2.20193i 0.139115 0.0863669i
\(651\) 5.58957 5.58957i 0.219073 0.219073i
\(652\) −33.5424 + 4.30020i −1.31362 + 0.168409i
\(653\) −2.73228 + 2.73228i −0.106923 + 0.106923i −0.758544 0.651622i \(-0.774089\pi\)
0.651622 + 0.758544i \(0.274089\pi\)
\(654\) 0.247390 0.724744i 0.00967370 0.0283397i
\(655\) 0.619416 + 12.4852i 0.0242026 + 0.487838i
\(656\) −19.9922 + 5.21172i −0.780562 + 0.203484i
\(657\) 10.5662i 0.412226i
\(658\) 25.8296 + 8.81688i 1.00694 + 0.343718i
\(659\) 14.1442 + 14.1442i 0.550982 + 0.550982i 0.926724 0.375743i \(-0.122612\pi\)
−0.375743 + 0.926724i \(0.622612\pi\)
\(660\) 27.3695 4.89782i 1.06535 0.190647i
\(661\) 14.2173 14.2173i 0.552991 0.552991i −0.374312 0.927303i \(-0.622121\pi\)
0.927303 + 0.374312i \(0.122121\pi\)
\(662\) −6.27259 12.7742i −0.243791 0.496481i
\(663\) −2.60018 −0.100982
\(664\) 3.65474 17.8970i 0.141831 0.694539i
\(665\) −1.84105 37.1091i −0.0713929 1.43903i
\(666\) 4.63893 + 9.44719i 0.179755 + 0.366071i
\(667\) 1.05036 + 1.05036i 0.0406701 + 0.0406701i
\(668\) −14.6176 11.2955i −0.565572 0.437036i
\(669\) 3.61003 + 3.61003i 0.139572 + 0.139572i
\(670\) −8.84386 + 30.8280i −0.341668 + 1.19099i
\(671\) −1.85800 −0.0717274
\(672\) −11.0960 + 9.56562i −0.428037 + 0.369002i
\(673\) 17.6236i 0.679341i −0.940545 0.339670i \(-0.889684\pi\)
0.940545 0.339670i \(-0.110316\pi\)
\(674\) −21.1940 7.23453i −0.816363 0.278663i
\(675\) −3.16822 + 3.86812i −0.121945 + 0.148884i
\(676\) 15.4714 20.0217i 0.595056 0.770067i
\(677\) −33.4900 33.4900i −1.28713 1.28713i −0.936525 0.350601i \(-0.885977\pi\)
−0.350601 0.936525i \(-0.614023\pi\)
\(678\) −15.4694 + 7.59607i −0.594100 + 0.291725i
\(679\) 17.5601i 0.673893i
\(680\) 4.21396 27.5338i 0.161598 1.05587i
\(681\) 21.2928i 0.815941i
\(682\) 11.8291 + 24.0899i 0.452959 + 0.922452i
\(683\) −0.602993 0.602993i −0.0230729 0.0230729i 0.695476 0.718549i \(-0.255193\pi\)
−0.718549 + 0.695476i \(0.755193\pi\)
\(684\) 12.7279 1.63174i 0.486664 0.0623912i
\(685\) 8.61125 + 7.79720i 0.329019 + 0.297916i
\(686\) −8.62881 + 25.2787i −0.329450 + 0.965144i
\(687\) 24.7841i 0.945574i
\(688\) 7.63857 13.0254i 0.291218 0.496590i
\(689\) −2.41682 −0.0920736
\(690\) −0.245090 + 0.854338i −0.00933043 + 0.0325241i
\(691\) −14.0957 14.0957i −0.536226 0.536226i 0.386192 0.922418i \(-0.373790\pi\)
−0.922418 + 0.386192i \(0.873790\pi\)
\(692\) −6.62616 + 0.849486i −0.251889 + 0.0322926i
\(693\) −11.3853 11.3853i −0.432490 0.432490i
\(694\) 16.8397 8.26895i 0.639228 0.313885i
\(695\) 3.08582 0.153094i 0.117052 0.00580717i
\(696\) 12.4712 8.24151i 0.472721 0.312394i
\(697\) −22.7479 −0.861637
\(698\) 0.860252 0.422416i 0.0325610 0.0159887i
\(699\) −6.47183 + 6.47183i −0.244787 + 0.244787i
\(700\) 13.7291 21.9592i 0.518910 0.829979i
\(701\) 23.9043 + 23.9043i 0.902854 + 0.902854i 0.995682 0.0928282i \(-0.0295907\pi\)
−0.0928282 + 0.995682i \(0.529591\pi\)
\(702\) 0.269723 0.790170i 0.0101800 0.0298231i
\(703\) 47.7487i 1.80087i
\(704\) −18.5650 46.1431i −0.699696 1.73908i
\(705\) −0.825679 16.6428i −0.0310969 0.626803i
\(706\) −11.9832 4.09043i −0.450993 0.153945i
\(707\) 26.0957 26.0957i 0.981431 0.981431i
\(708\) −7.96791 + 10.3113i −0.299452 + 0.387524i
\(709\) 30.0855 30.0855i 1.12989 1.12989i 0.139691 0.990195i \(-0.455389\pi\)
0.990195 0.139691i \(-0.0446110\pi\)
\(710\) −24.4441 44.1110i −0.917371 1.65546i
\(711\) 4.53907i 0.170228i
\(712\) −16.0221 24.2450i −0.600452 0.908618i
\(713\) −0.857896 −0.0321285
\(714\) −14.4789 + 7.10967i −0.541858 + 0.266073i
\(715\) 5.50899 6.08415i 0.206024 0.227534i
\(716\) −3.33483 26.0123i −0.124628 0.972127i
\(717\) 9.13569 9.13569i 0.341178 0.341178i
\(718\) −4.65363 1.58850i −0.173672 0.0592825i
\(719\) 20.9727 0.782148 0.391074 0.920359i \(-0.372104\pi\)
0.391074 + 0.920359i \(0.372104\pi\)
\(720\) 7.93016 + 4.13674i 0.295540 + 0.154167i
\(721\) 12.2101 0.454729
\(722\) 29.6661 + 10.1265i 1.10406 + 0.376868i
\(723\) −7.57104 + 7.57104i −0.281570 + 0.281570i
\(724\) 29.6558 3.80193i 1.10215 0.141297i
\(725\) −16.7442 + 20.4432i −0.621865 + 0.759242i
\(726\) 35.1045 17.2377i 1.30285 0.639749i
\(727\) 19.5823 0.726269 0.363134 0.931737i \(-0.381707\pi\)
0.363134 + 0.931737i \(0.381707\pi\)
\(728\) −0.865265 + 4.23715i −0.0320689 + 0.157039i
\(729\) 1.00000i 0.0370370i
\(730\) −29.2258 + 16.1955i −1.08170 + 0.599421i
\(731\) 11.7562 11.7562i 0.434818 0.434818i
\(732\) −0.472947 0.365461i −0.0174806 0.0135078i
\(733\) −3.95752 + 3.95752i −0.146174 + 0.146174i −0.776407 0.630232i \(-0.782960\pi\)
0.630232 + 0.776407i \(0.282960\pi\)
\(734\) −20.2351 6.90721i −0.746892 0.254950i
\(735\) 0.654510 0.0324715i 0.0241420 0.00119773i
\(736\) 1.58559 + 0.117442i 0.0584455 + 0.00432896i
\(737\) 63.0544i 2.32264i
\(738\) 2.35969 6.91288i 0.0868615 0.254467i
\(739\) −1.94684 1.94684i −0.0716155 0.0716155i 0.670392 0.742007i \(-0.266126\pi\)
−0.742007 + 0.670392i \(0.766126\pi\)
\(740\) −19.0203 + 27.3115i −0.699201 + 1.00399i
\(741\) 2.67849 2.67849i 0.0983969 0.0983969i
\(742\) −13.4579 + 6.60833i −0.494054 + 0.242599i
\(743\) 10.5553 0.387238 0.193619 0.981077i \(-0.437977\pi\)
0.193619 + 0.981077i \(0.437977\pi\)
\(744\) −1.72735 + 8.45872i −0.0633277 + 0.310112i
\(745\) 35.7060 1.77144i 1.30816 0.0649006i
\(746\) −34.2003 + 16.7936i −1.25216 + 0.614859i
\(747\) 4.56660 + 4.56660i 0.167083 + 0.167083i
\(748\) −6.96377 54.3188i −0.254621 1.98609i
\(749\) −33.5860 33.5860i −1.22721 1.22721i
\(750\) −15.5553 2.83432i −0.567998 0.103495i
\(751\) 49.4390 1.80405 0.902027 0.431680i \(-0.142079\pi\)
0.902027 + 0.431680i \(0.142079\pi\)
\(752\) −28.8441 + 7.51932i −1.05184 + 0.274201i
\(753\) 6.33931i 0.231017i
\(754\) 1.42550 4.17609i 0.0519136 0.152084i
\(755\) −4.31174 + 4.76191i −0.156920 + 0.173304i
\(756\) −0.658637 5.13750i −0.0239544 0.186849i
\(757\) 4.11693 + 4.11693i 0.149632 + 0.149632i 0.777954 0.628321i \(-0.216258\pi\)
−0.628321 + 0.777954i \(0.716258\pi\)
\(758\) −3.11025 6.33403i −0.112969 0.230063i
\(759\) 1.74743i 0.0634276i
\(760\) 24.0223 + 32.7040i 0.871379 + 1.18630i
\(761\) 14.6496i 0.531049i 0.964104 + 0.265525i \(0.0855452\pi\)
−0.964104 + 0.265525i \(0.914455\pi\)
\(762\) −8.57249 + 4.20942i −0.310548 + 0.152491i
\(763\) −0.991630 0.991630i −0.0358994 0.0358994i
\(764\) 13.1826 + 10.1866i 0.476929 + 0.368539i
\(765\) 7.30010 + 6.61000i 0.263936 + 0.238985i
\(766\) −4.28643 1.46316i −0.154875 0.0528662i
\(767\) 3.84673i 0.138897i
\(768\) 4.35049 15.3972i 0.156985 0.555598i
\(769\) 2.44453 0.0881520 0.0440760 0.999028i \(-0.485966\pi\)
0.0440760 + 0.999028i \(0.485966\pi\)
\(770\) 14.0404 48.9423i 0.505983 1.76376i
\(771\) 11.9718 + 11.9718i 0.431153 + 0.431153i
\(772\) 7.01216 9.07450i 0.252373 0.326598i
\(773\) −12.2398 12.2398i −0.440234 0.440234i 0.451857 0.892091i \(-0.350762\pi\)
−0.892091 + 0.451857i \(0.850762\pi\)
\(774\) 2.35310 + 4.79209i 0.0845804 + 0.172248i
\(775\) −1.51060 15.1867i