Properties

Label 240.2.bl.a.109.10
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 109.10
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.456856 + 1.33839i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.58257 - 1.22290i) q^{4} +(-1.50085 - 1.65754i) q^{5} +(0.623338 + 1.26943i) q^{6} -2.58977 q^{7} +(2.35972 - 1.55940i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(-0.456856 + 1.33839i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.58257 - 1.22290i) q^{4} +(-1.50085 - 1.65754i) q^{5} +(0.623338 + 1.26943i) q^{6} -2.58977 q^{7} +(2.35972 - 1.55940i) q^{8} -1.00000i q^{9} +(2.90411 - 1.25146i) 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} +(0.348184 + 4.45856i) 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} +(1.16860 - 2.93843i) q^{30} -3.05233 q^{31} +(-5.64140 - 0.417848i) q^{32} -6.21722i q^{33} +(5.89449 + 2.01207i) q^{34} +(3.88686 + 4.29266i) q^{35} +(-1.22290 + 1.58257i) q^{36} +(5.26234 + 5.26234i) q^{37} +(8.14471 - 3.99936i) q^{38} +0.590389i q^{39} +(-6.12636 - 1.57091i) q^{40} +5.16508i q^{41} +(-1.61430 - 3.28754i) q^{42} +(2.66933 + 2.66933i) q^{43} +(-12.3335 + 1.58118i) q^{44} +(-1.65754 + 1.50085i) q^{45} +(0.128405 - 0.376171i) q^{46} -7.45202i q^{47} +(3.45045 + 2.02346i) q^{48} -0.293066 q^{49} +(-6.43298 - 2.93543i) 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} +(3.39888 + 2.90648i) 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} +(-7.52099 + 3.24100i) q^{70} -15.9477i q^{71} +(-1.55940 - 2.35972i) q^{72} +10.5662 q^{73} +(-9.44719 + 4.63893i) q^{74} +(3.16822 + 3.86812i) q^{75} +(1.63174 + 12.7279i) q^{76} +(-11.3853 + 11.3853i) q^{77} +(-0.790170 - 0.269723i) q^{78} +4.53907 q^{79} +(4.90135 - 7.48176i) q^{80} -1.00000 q^{81} +(-6.91288 - 2.35969i) q^{82} +(4.56660 - 4.56660i) q^{83} +(5.13750 - 0.658637i) q^{84} +(-7.30010 + 6.61000i) q^{85} +(-4.79209 + 2.35310i) q^{86} +5.28505 q^{87} +(3.51840 - 17.2294i) q^{88} +10.2745i q^{89} +(-1.25146 - 2.90411i) 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
\(5\) −1.50085 1.65754i −0.671200 0.741276i
\(6\) 0.623338 + 1.26943i 0.254477 + 0.518242i
\(7\) −2.58977 −0.978843 −0.489421 0.872047i \(-0.662792\pi\)
−0.489421 + 0.872047i \(0.662792\pi\)
\(8\) 2.35972 1.55940i 0.834287 0.551331i
\(9\) 1.00000i 0.333333i
\(10\) 2.90411 1.25146i 0.918360 0.395747i
\(11\) 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 −0.762625 0.646840i \(-0.776090\pi\)
0.646840 + 0.762625i \(0.276090\pi\)
\(14\) 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 \(-0.820657\pi\)
0.845431 0.534084i \(-0.179343\pi\)
\(18\) 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 \(-0.513274\pi\)
\(20\) 0.348184 + 4.45856i 0.0778562 + 0.996965i
\(21\) −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 \(-0.509329\pi\)
−0.0293028 + 0.999571i \(0.509329\pi\)
\(24\) 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 \(0.586739\pi\)
\(30\) 1.16860 2.93843i 0.213356 0.536482i
\(31\) −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
\(35\) 3.88686 + 4.29266i 0.657000 + 0.725593i
\(36\) −1.22290 + 1.58257i −0.203817 + 0.263761i
\(37\) 5.26234 + 5.26234i 0.865124 + 0.865124i 0.991928 0.126804i \(-0.0404719\pi\)
−0.126804 + 0.991928i \(0.540472\pi\)
\(38\) 8.14471 3.99936i 1.32125 0.648782i
\(39\) 0.590389i 0.0945380i
\(40\) −6.12636 1.57091i −0.968662 0.248383i
\(41\) 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 0.880715 0.473647i \(-0.157063\pi\)
−0.473647 + 0.880715i \(0.657063\pi\)
\(44\) −12.3335 + 1.58118i −1.85934 + 0.238371i
\(45\) −1.65754 + 1.50085i −0.247092 + 0.223733i
\(46\) 0.128405 0.376171i 0.0189323 0.0554634i
\(47\) 7.45202i 1.08699i −0.839413 0.543495i \(-0.817101\pi\)
0.839413 0.543495i \(-0.182899\pi\)
\(48\) 3.45045 + 2.02346i 0.498029 + 0.292062i
\(49\) −0.293066 −0.0418665
\(50\) −6.43298 2.93543i −0.909761 0.415132i
\(51\) −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 0.877388 0.479782i \(-0.159284\pi\)
−0.479782 + 0.877388i \(0.659284\pi\)
\(54\) 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 \(0.389420\pi\)
\(60\) 3.39888 + 2.90648i 0.438794 + 0.375224i
\(61\) −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 −0.117005 0.993131i \(-0.537329\pi\)
0.993131 + 0.117005i \(0.0373294\pi\)
\(68\) −5.38586 + 6.96989i −0.653132 + 0.845223i
\(69\) −0.198741 + 0.198741i −0.0239257 + 0.0239257i
\(70\) −7.52099 + 3.24100i −0.898930 + 0.387374i
\(71\) 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 \(-0.287806\pi\)
0.618339 + 0.785912i \(0.287806\pi\)
\(74\) −9.44719 + 4.63893i −1.09821 + 0.539264i
\(75\) 3.16822 + 3.86812i 0.365835 + 0.446652i
\(76\) 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 \(0.417812\pi\)
\(80\) 4.90135 7.48176i 0.547988 0.836486i
\(81\) −1.00000 −0.111111
\(82\) −6.91288 2.35969i −0.763400 0.260585i
\(83\) 4.56660 4.56660i 0.501249 0.501249i −0.410577 0.911826i \(-0.634673\pi\)
0.911826 + 0.410577i \(0.134673\pi\)
\(84\) 5.13750 0.658637i 0.560548 0.0718632i
\(85\) −7.30010 + 6.61000i −0.791807 + 0.716955i
\(86\) −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 \(0.816701\pi\)
\(90\) −1.25146 2.90411i −0.131916 0.306120i
\(91\) 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 \(0.111860\pi\)
−0.938886 + 0.344229i \(0.888140\pi\)
\(98\) 0.133889 0.392236i 0.0135248 0.0396218i
\(99\) −4.39624 4.39624i −0.441838 0.441838i
\(100\) 6.86769 7.26876i 0.686769 0.726876i
\(101\) 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 \(-0.574618\pi\)
−0.232279 + 0.972649i \(0.574618\pi\)
\(104\) −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 \(0.0968852\pi\)
0.299696 + 0.954035i \(0.403115\pi\)
\(108\) 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 \(0.758256\pi\)
\(110\) 7.26543 18.2689i 0.692731 1.74187i
\(111\) 7.44208 0.706371
\(112\) −2.61316 10.0241i −0.246921 0.947187i
\(113\) 12.1861i 1.14637i −0.819424 0.573187i \(-0.805707\pi\)
0.819424 0.573187i \(-0.194293\pi\)
\(114\) 2.93120 8.58715i 0.274532 0.804260i
\(115\) 0.421833 + 0.465874i 0.0393361 + 0.0434430i
\(116\) −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
\(120\) −5.44279 + 3.22118i −0.496857 + 0.294053i
\(121\) 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
\(125\) 8.98979 6.64708i 0.804071 0.594533i
\(126\) −3.46612 1.18315i −0.308787 0.105404i
\(127\) 6.75303i 0.599234i −0.954060 0.299617i \(-0.903141\pi\)
0.954060 0.299617i \(-0.0968589\pi\)
\(128\) 8.41690 + 7.56014i 0.743956 + 0.668228i
\(129\) 3.77500 0.332370
\(130\) −0.689928 + 1.73482i −0.0605107 + 0.152154i
\(131\) 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 \(-0.571235\pi\)
−0.221927 + 0.975063i \(0.571235\pi\)
\(138\) −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 \(0.231337\pi\)
\(140\) −0.901717 11.5467i −0.0762090 0.975872i
\(141\) −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 \(0.0227163\pi\)
\(150\) −6.62447 + 2.47314i −0.540885 + 0.201931i
\(151\) 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
\(155\) 4.58109 + 5.05937i 0.367962 + 0.406378i
\(156\) 0.721987 0.934330i 0.0578052 0.0748063i
\(157\) −5.73516 + 5.73516i −0.457716 + 0.457716i −0.897905 0.440189i \(-0.854911\pi\)
0.440189 + 0.897905i \(0.354911\pi\)
\(158\) −2.07370 + 6.07503i −0.164975 + 0.483304i
\(159\) 4.09361 0.324644
\(160\) 7.77429 + 9.97799i 0.614612 + 0.788830i
\(161\) 0.727889 0.0573657
\(162\) 0.456856 1.33839i 0.0358940 0.105154i
\(163\) −11.9561 + 11.9561i −0.936474 + 0.936474i −0.998099 0.0616255i \(-0.980372\pi\)
0.0616255 + 0.998099i \(0.480372\pi\)
\(164\) 6.31637 8.17407i 0.493226 0.638288i
\(165\) −10.3053 + 9.33111i −0.802267 + 0.726426i
\(166\) 4.02560 + 8.19815i 0.312447 + 0.636300i
\(167\) −9.23665 −0.714754 −0.357377 0.933960i \(-0.616329\pi\)
−0.357377 + 0.933960i \(0.616329\pi\)
\(168\) −1.46558 + 7.17688i −0.113072 + 0.553708i
\(169\) 12.6514i 0.973188i
\(170\) −5.51165 12.7902i −0.422724 0.980963i
\(171\) −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 −0.791168 0.611598i \(-0.790527\pi\)
0.611598 + 0.791168i \(0.290527\pi\)
\(174\) −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 \(0.586982\pi\)
\(180\) 4.45856 0.348184i 0.332322 0.0259521i
\(181\) −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
\(190\) −18.8531 7.49777i −1.36775 0.543945i
\(191\) −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 \(-0.933834\pi\)
0.978473 0.206373i \(-0.0661659\pi\)
\(194\) −9.07499 3.09772i −0.651546 0.222404i
\(195\) 0.978596 0.886086i 0.0700787 0.0634539i
\(196\) 0.463796 + 0.358390i 0.0331283 + 0.0255993i
\(197\) 3.23239 + 3.23239i 0.230298 + 0.230298i 0.812817 0.582519i \(-0.197933\pi\)
−0.582519 + 0.812817i \(0.697933\pi\)
\(198\) 7.89232 3.87543i 0.560883 0.275415i
\(199\) 19.0599i 1.35112i 0.737303 + 0.675562i \(0.236099\pi\)
−0.737303 + 0.675562i \(0.763901\pi\)
\(200\) 6.59088 + 12.5124i 0.466046 + 0.884761i
\(201\) 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
\(205\) 8.56134 7.75200i 0.597950 0.541423i
\(206\) 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
\(210\) −3.02640 + 7.60988i −0.208842 + 0.525131i
\(211\) 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
\(220\) 21.1316 + 18.0702i 1.42469 + 1.21829i
\(221\) 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 \(0.0546805\pi\)
−0.985281 + 0.170940i \(0.945320\pi\)
\(224\) 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 −0.000680242 1.00000i \(-0.500217\pi\)
1.00000 0.000680242i \(0.000216528\pi\)
\(228\) 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 \(-0.0554108\pi\)
\(230\) −0.816237 + 0.351739i −0.0538211 + 0.0231930i
\(231\) 16.1012i 1.05938i
\(232\) 14.6461 + 2.99087i 0.961565 + 0.196360i
\(233\) −9.15254 −0.599603 −0.299802 0.954002i \(-0.596920\pi\)
−0.299802 + 0.954002i \(0.596920\pi\)
\(234\) −0.749457 + 0.368012i −0.0489936 + 0.0240577i
\(235\) −12.3521 + 11.1844i −0.805759 + 0.729588i
\(236\) 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 \(0.637219\pi\)
\(240\) −1.82463 8.75618i −0.117779 0.565209i
\(241\) 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
\(245\) 0.439847 + 0.485769i 0.0281008 + 0.0310346i
\(246\) −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
\(250\) 4.78933 + 15.0686i 0.302904 + 0.953021i
\(251\) −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 \(0.177078\pi\)
−0.849212 + 0.528052i \(0.822922\pi\)
\(258\) −1.72463 + 5.05241i −0.107371 + 0.314550i
\(259\) −13.6283 13.6283i −0.846821 0.846821i
\(260\) −2.00666 1.71595i −0.124448 0.106419i
\(261\) 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 \(-0.479584\pi\)
0.0640962 + 0.997944i \(0.479584\pi\)
\(264\) −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 \(0.993652\pi\)
\(270\) −2.93843 1.16860i −0.178827 0.0711186i
\(271\) 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
\(275\) 19.6975 + 24.0489i 1.18781 + 1.45021i
\(276\) 0.557562 0.0714805i 0.0335613 0.00430262i
\(277\) −15.8235 15.8235i −0.950744 0.950744i 0.0480985 0.998843i \(-0.484684\pi\)
−0.998843 + 0.0480985i \(0.984684\pi\)
\(278\) 0.861278 + 1.75400i 0.0516560 + 0.105198i
\(279\) 3.05233i 0.182738i
\(280\) 15.8659 + 4.06831i 0.948168 + 0.243128i
\(281\) 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 0.751636 0.659578i \(-0.229265\pi\)
−0.659578 + 0.751636i \(0.729265\pi\)
\(284\) −19.5025 + 25.2383i −1.15726 + 1.49762i
\(285\) 9.62951 + 10.6349i 0.570403 + 0.629955i
\(286\) −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
\(290\) 15.5298 + 6.17610i 0.911940 + 0.362673i
\(291\) 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 \(-0.907942\pi\)
−0.285194 0.958470i \(-0.592058\pi\)
\(294\) −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
\(300\) −0.283600 9.99598i −0.0163737 0.577118i
\(301\) −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 −0.265779 0.964034i \(-0.585629\pi\)
0.964034 + 0.265779i \(0.0856291\pi\)
\(308\) 31.9410 4.09489i 1.82001 0.233328i
\(309\) −3.33383 + 3.33383i −0.189655 + 0.189655i
\(310\) −8.86429 + 3.81987i −0.503458 + 0.216954i
\(311\) 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 \(-0.588714\pi\)
−0.275108 + 0.961413i \(0.588714\pi\)
\(314\) −5.05573 10.2960i −0.285311 0.581037i
\(315\) 4.29266 3.88686i 0.241864 0.219000i
\(316\) −7.18337 5.55083i −0.404096 0.312258i
\(317\) 8.46658 8.46658i 0.475530 0.475530i −0.428168 0.903699i \(-0.640841\pi\)
0.903699 + 0.428168i \(0.140841\pi\)
\(318\) −1.87019 + 5.47883i −0.104875 + 0.307238i
\(319\) 32.8583 1.83971
\(320\) −16.9062 + 5.84652i −0.945083 + 0.326830i
\(321\) 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
\(325\) −1.87049 2.28370i −0.103756 0.126677i
\(326\) −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
\(330\) −7.78061 18.0555i −0.428308 0.993921i
\(331\) 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 \(0.141947\pi\)
−0.902205 + 0.431307i \(0.858053\pi\)
\(338\) −16.9325 5.77988i −0.921009 0.314384i
\(339\) −8.61689 8.61689i −0.468005 0.468005i
\(340\) 19.6363 1.53346i 1.06493 0.0831635i
\(341\) −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 0.408986 0.912541i \(-0.365883\pi\)
−0.912541 + 0.408986i \(0.865883\pi\)
\(348\) −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 \(0.744226\pi\)
\(350\) 16.6600 + 7.60210i 0.890513 + 0.406350i
\(351\) 0.590389 0.0315127
\(352\) −26.6379 + 22.9640i −1.41980 + 1.22398i
\(353\) 8.95345i 0.476544i 0.971198 + 0.238272i \(0.0765810\pi\)
−0.971198 + 0.238272i \(0.923419\pi\)
\(354\) −8.72038 2.97668i −0.463483 0.158209i
\(355\) −26.4340 + 23.9351i −1.40297 + 1.27034i
\(356\) 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 \(-0.0292478\pi\)
\(360\) −1.57091 + 6.12636i −0.0827944 + 0.322887i
\(361\) 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
\(365\) −15.8582 17.5139i −0.830058 0.916719i
\(366\) 0.136530 0.399975i 0.00713656 0.0209070i
\(367\) 15.1190i 0.789206i 0.918852 + 0.394603i \(0.129118\pi\)
−0.918852 + 0.394603i \(0.870882\pi\)
\(368\) −0.283601 1.08789i −0.0147837 0.0567103i
\(369\) 5.16508 0.268883
\(370\) 21.8680 + 8.69679i 1.13687 + 0.452125i
\(371\) −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 0.999909 0.0135107i \(-0.00430073\pi\)
−0.0135107 + 0.999909i \(0.504301\pi\)
\(374\) 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 \(0.209096\pi\)
\(380\) 18.6481 21.8074i 0.956625 1.11869i
\(381\) −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 \(0.0260747\pi\)
−0.996647 + 0.0818246i \(0.973925\pi\)
\(384\) 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 \(0.0419605\pi\)
\(390\) 0.738850 + 1.71455i 0.0374131 + 0.0868199i
\(391\) 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
\(395\) −6.81246 7.52370i −0.342772 0.378558i
\(396\) 1.58118 + 12.3335i 0.0794571 + 0.619781i
\(397\) −15.8392 + 15.8392i −0.794946 + 0.794946i −0.982294 0.187348i \(-0.940011\pi\)
0.187348 + 0.982294i \(0.440011\pi\)
\(398\) −25.5096 8.70764i −1.27868 0.436475i
\(399\) 16.6161 0.831845
\(400\) −19.7575 + 3.10480i −0.987877 + 0.155240i
\(401\) −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
\(405\) 1.50085 + 1.65754i 0.0745778 + 0.0823640i
\(406\) 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 \(-0.100309\pi\)
\(410\) 6.46389 + 14.9999i 0.319229 + 0.740794i
\(411\) −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 \(-0.519337\pi\)
\(420\) −8.80234 7.52712i −0.429510 0.367286i
\(421\) −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
\(430\) 11.0926 + 4.41145i 0.534931 + 0.212739i
\(431\) −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 \(0.268778\pi\)
−0.664187 + 0.747566i \(0.731222\pi\)
\(434\) −3.61137 + 10.5798i −0.173351 + 0.507844i
\(435\) −7.93207 8.76021i −0.380314 0.420020i
\(436\) 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 \(0.996499\pi\)
\(440\) −33.8390 + 20.0268i −1.61321 + 0.954740i
\(441\) 0.293066i 0.0139555i
\(442\) −3.30074 + 1.62079i −0.157000 + 0.0770930i
\(443\) 2.88482 + 2.88482i 0.137062 + 0.137062i 0.772309 0.635247i \(-0.219102\pi\)
−0.635247 + 0.772309i \(0.719102\pi\)
\(444\) −11.7776 9.10092i −0.558939 0.431910i
\(445\) 17.0304 15.4205i 0.807321 0.731001i
\(446\) −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 \(0.477283\pi\)
\(450\) −2.93543 + 6.43298i −0.138377 + 0.303254i
\(451\) 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 \(-0.465012\pi\)
0.109698 + 0.993965i \(0.465012\pi\)
\(458\) 15.4489 + 31.4617i 0.721879 + 1.47011i
\(459\) −3.11422 + 3.11422i −0.145359 + 0.145359i
\(460\) −0.0978615 1.25314i −0.00456281 0.0584278i
\(461\) 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 \(0.202050\pi\)
−0.805215 + 0.592983i \(0.797950\pi\)
\(464\) −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 −0.998959 0.0456227i \(-0.985473\pi\)
0.0456227 + 0.998959i \(0.485473\pi\)
\(468\) −0.150149 1.17119i −0.00694065 0.0541384i
\(469\) −18.5723 + 18.5723i −0.857590 + 0.857590i
\(470\) −9.32592 21.6415i −0.430173 0.998247i
\(471\) 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
\(475\) 24.8180 20.3275i 1.13873 0.932687i
\(476\) 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 \(0.252750\pi\)
\(480\) 12.5528 + 1.55825i 0.572953 + 0.0711242i
\(481\) −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
\(485\) 11.2390 10.1766i 0.510338 0.462094i
\(486\) −0.623338 1.26943i −0.0282752 0.0575825i
\(487\) 4.53105 0.205322 0.102661 0.994716i \(-0.467264\pi\)
0.102661 + 0.994716i \(0.467264\pi\)
\(488\) −0.828178 0.169122i −0.0374899 0.00765578i
\(489\) 16.9085i 0.764628i
\(490\) −0.851094 + 0.366760i −0.0384485 + 0.0165685i
\(491\) 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 \(-0.577444\pi\)
\(500\) −22.3557 0.474177i −0.999775 0.0212058i
\(501\) −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 \(-0.560120\pi\)
−0.187753 + 0.982216i \(0.560120\pi\)
\(504\) 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 \(0.499643\pi\)
\(510\) −12.9414 5.14670i −0.573053 0.227900i
\(511\) −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
\(515\) 7.07612 + 7.81490i 0.311811 + 0.344365i
\(516\) −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
\(520\) 3.21337 1.90175i 0.140915 0.0833974i
\(521\) 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 \(0.0546913\pi\)
0.170974 + 0.985276i \(0.445309\pi\)
\(524\) −1.42177 11.0901i −0.0621104 0.484473i
\(525\) −8.20499 10.0176i −0.358095 0.437202i
\(526\) −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
\(530\) 12.0288 + 4.78378i 0.522497 + 0.207794i
\(531\) 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
\(540\) 2.90648 3.39888i 0.125075 0.146265i
\(541\) 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 −0.766802 0.641884i \(-0.778153\pi\)
0.641884 + 0.766802i \(0.278153\pi\)
\(548\) 8.22173 + 6.35320i 0.351215 + 0.271395i
\(549\) −0.211318 + 0.211318i −0.00901881 + 0.00901881i
\(550\) −41.1858 + 15.3761i −1.75617 + 0.655638i
\(551\) 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
\(555\) −11.1694 12.3356i −0.474116 0.523616i
\(556\) −2.74101 + 0.351402i −0.116245 + 0.0149028i
\(557\) 25.5453 25.5453i 1.08239 1.08239i 0.0861022 0.996286i \(-0.472559\pi\)
0.996286 0.0861022i \(-0.0274412\pi\)
\(558\) −4.08520 1.39447i −0.172940 0.0590328i
\(559\) −2.22872 −0.0942648
\(560\) −12.6934 + 19.3761i −0.536394 + 0.818789i
\(561\) −27.3817 −1.15606
\(562\) −16.9368 5.78133i −0.714435 0.243871i
\(563\) 11.6203 11.6203i 0.489736 0.489736i −0.418487 0.908223i \(-0.637439\pi\)
0.908223 + 0.418487i \(0.137439\pi\)
\(564\) 1.89522 + 14.7831i 0.0798030 + 0.622479i
\(565\) −20.1990 + 18.2895i −0.849780 + 0.769447i
\(566\) −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 \(-0.0902771\pi\)
\(570\) −18.6329 + 8.02943i −0.780445 + 0.336316i
\(571\) −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 \(-0.742977\pi\)
0.691335 0.722534i \(-0.257023\pi\)
\(578\) 1.09495 3.20774i 0.0455441 0.133424i
\(579\) −4.05458 4.05458i −0.168503 0.168503i
\(580\) −15.3609 + 17.9633i −0.637826 + 0.745884i
\(581\) −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 \(-0.962694\pi\)
−0.116931 0.993140i \(-0.537306\pi\)
\(588\) 0.581373 0.0745331i 0.0239754 0.00307369i
\(589\) 13.8479 + 13.8479i 0.570592 + 0.570592i
\(590\) −7.61410 + 19.1456i −0.313467 + 0.788212i
\(591\) 4.57128 0.188037
\(592\) −15.0588 + 25.6785i −0.618912 + 1.05538i
\(593\) 8.25028i 0.338798i −0.985548 0.169399i \(-0.945817\pi\)
0.985548 0.169399i \(-0.0541827\pi\)
\(594\) 2.84037 8.32105i 0.116542 0.341417i
\(595\) 18.9056 17.1184i 0.775055 0.701786i
\(596\) −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 \(0.868344\pi\)
\(600\) 13.5081 + 4.18715i 0.551464 + 0.170940i
\(601\) 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
\(605\) −45.8374 + 41.5042i −1.86355 + 1.68739i
\(606\) 19.0724 + 6.51030i 0.774762 + 0.264463i
\(607\) 5.52944i 0.224433i 0.993684 + 0.112217i \(0.0357950\pi\)
−0.993684 + 0.112217i \(0.964205\pi\)
\(608\) 23.6983 + 27.4897i 0.961095 + 1.11486i
\(609\) −13.6871 −0.554629
\(610\) −0.878145 0.349233i −0.0355550 0.0141400i
\(611\) 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 \(-0.939588\pi\)
−0.188653 0.982044i \(-0.560412\pi\)
\(614\) 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 \(-0.679533\pi\)
−0.534588 + 0.845113i \(0.679533\pi\)
\(618\) −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 \(0.196258\pi\)
\(620\) −1.06277 13.6090i −0.0426819 0.546550i
\(621\) 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
\(630\) 3.24100 + 7.52099i 0.129125 + 0.299643i
\(631\) 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
\(635\) −11.1934 + 10.1353i −0.444198 + 0.402206i
\(636\) −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
\(640\) −0.101240 25.2980i −0.00400188 0.999992i
\(641\) 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 −0.424441 0.905455i \(-0.639529\pi\)
0.905455 + 0.424441i \(0.139529\pi\)
\(644\) −1.15193 0.890136i −0.0453925 0.0350763i
\(645\) −5.66570 6.25722i −0.223087 0.246378i
\(646\) −17.6139 35.8707i −0.693008 1.41131i
\(647\) −16.5371 −0.650142 −0.325071 0.945690i \(-0.605388\pi\)
−0.325071 + 0.945690i \(0.605388\pi\)
\(648\) −2.35972 + 1.55940i −0.0926985 + 0.0612590i
\(649\) 40.5088i 1.59011i
\(650\) 3.91102 1.46012i 0.153403 0.0572705i
\(651\) 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 −0.651622 0.758544i \(-0.725911\pi\)
0.758544 + 0.651622i \(0.225911\pi\)
\(654\) 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 \(0.622612\pi\)
\(660\) 27.7198 2.16473i 1.07899 0.0842621i
\(661\) 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
\(670\) 11.8518 29.8013i 0.457875 1.15132i
\(671\) −1.85800 −0.0717274
\(672\) 11.0960 9.56562i 0.428037 0.369002i
\(673\) 17.6236i 0.679341i 0.940545 + 0.339670i \(0.110316\pi\)
−0.940545 + 0.339670i \(0.889684\pi\)
\(674\) −21.1940 7.23453i −0.816363 0.278663i
\(675\) 3.86812 3.16822i 0.148884 0.121945i
\(676\) 15.4714 20.0217i 0.595056 0.770067i
\(677\) 33.4900 + 33.4900i 1.28713 + 1.28713i 0.936525 + 0.350601i \(0.114023\pi\)
0.350601 + 0.936525i \(0.385977\pi\)
\(678\) 15.4694 7.59607i 0.594100 0.291725i
\(679\) 17.5601i 0.673893i
\(680\) −6.91857 + 26.9815i −0.265315 + 1.03469i
\(681\) 21.2928i 0.815941i
\(682\) −11.8291 24.0899i −0.452959 0.922452i
\(683\) 0.602993 + 0.602993i 0.0230729 + 0.0230729i 0.718549 0.695476i \(-0.244807\pi\)
−0.695476 + 0.718549i \(0.744807\pi\)
\(684\) 12.7279 1.63174i 0.486664 0.0623912i
\(685\) 7.79720 + 8.61125i 0.297916 + 0.329019i
\(686\) −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
\(690\) −0.328449 + 0.825884i −0.0125039 + 0.0314409i
\(691\) −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
\(700\) −17.7858 + 18.8245i −0.672239 + 0.711497i
\(701\) 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 \(-0.0446110\pi\)
\(710\) −19.9580 46.3139i −0.749009 1.73813i
\(711\) 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
\(715\) 6.08415 5.50899i 0.227534 0.206024i
\(716\) −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 \(0.372104\pi\)
\(720\) −7.48176 4.90135i −0.278829 0.182663i
\(721\) 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
\(725\) −20.4432 + 16.7442i −0.759242 + 0.621865i
\(726\) 35.1045 17.2377i 1.30285 0.639749i
\(727\) −19.5823 −0.726269 −0.363134 0.931737i \(-0.618293\pi\)
−0.363134 + 0.931737i \(0.618293\pi\)
\(728\) 0.865265 4.23715i 0.0320689 0.157039i
\(729\) 1.00000i 0.0370370i
\(730\) 30.6853 13.2232i 1.13571 0.489411i
\(731\) 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 −0.630232 0.776407i \(-0.717040\pi\)
0.776407 + 0.630232i \(0.217040\pi\)
\(734\) −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 \(0.766126\pi\)
\(740\) −21.6302 + 25.2947i −0.795143 + 0.929853i
\(741\) 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 \(-0.562023\pi\)
−0.193619 + 0.981077i \(0.562023\pi\)
\(744\) −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
\(750\) 14.0417 + 7.26853i 0.512729 + 0.265409i
\(751\) 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
\(755\) 4.76191 4.31174i 0.173304 0.156920i
\(756\) −0.658637 5.13750i −0.0239544 0.186849i
\(757\) −4.11693 4.11693i −0.149632 0.149632i 0.628321 0.777954i \(-0.283742\pi\)
−0.777954 + 0.628321i \(0.783742\pi\)
\(758\) 3.11025 + 6.33403i 0.112969 + 0.230063i
\(759\) 1.74743i 0.0634276i
\(760\) 20.6672 + 34.9212i 0.749680 + 1.26672i
\(761\) 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
\(765\) 6.61000 + 7.30010i 0.238985 + 0.263936i
\(766\) −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 \(0.485966\pi\)
\(770\) −18.8158 + 47.3123i −0.678075 + 1.70502i
\(771\) 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 0.892091 0.451857i \(-0.149238\pi\)
−0.451857 + 0.892091i \(0.649238\pi\)
\(774\) 2.35310 + 4.79209i 0.0845804 + 0.172248i
\(775\) 1.51060 15.1867i 0.0542624 0.545