Properties

Label 570.2.q.c.49.4
Level $570$
Weight $2$
Character 570.49
Analytic conductor $4.551$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 49 x^{16} - 8 x^{15} + 72 x^{13} + 2145 x^{12} - 648 x^{11} + 32 x^{10} - 7056 x^{9} - 11968 x^{8} + 10368 x^{7} + 9344 x^{6} + 18176 x^{5} + 56320 x^{4} + 28160 x^{3} + 8192 x^{2} + 4096 x + 1024\)
Coefficient ring: \(\Z[a_1, \ldots, a_{19}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 49.4
Root \(-2.56046 + 0.686074i\) of defining polynomial
Character \(\chi\) \(=\) 570.49
Dual form 570.2.q.c.349.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.99313 - 1.01362i) q^{5} +(-0.500000 - 0.866025i) q^{6} -2.79875i q^{7} -1.00000i q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.99313 - 1.01362i) q^{5} +(-0.500000 - 0.866025i) q^{6} -2.79875i q^{7} -1.00000i q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.23291 - 0.118742i) q^{10} +4.02666 q^{11} +1.00000i q^{12} +(-0.0960560 + 0.0554580i) q^{13} +(-1.39938 + 2.42379i) q^{14} +(2.23291 + 0.118742i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.68457 - 2.12729i) q^{17} -1.00000i q^{18} +(0.163933 - 4.35582i) q^{19} +(1.87439 + 1.21929i) q^{20} +(1.39938 - 2.42379i) q^{21} +(-3.48719 - 2.01333i) q^{22} +(-7.65779 + 4.42123i) q^{23} +(0.500000 - 0.866025i) q^{24} +(2.94514 - 4.04057i) q^{25} +0.110916 q^{26} +1.00000i q^{27} +(2.42379 - 1.39938i) q^{28} +(0.907996 + 1.57270i) q^{29} +(-1.87439 - 1.21929i) q^{30} +7.88104 q^{31} +(0.866025 - 0.500000i) q^{32} +(3.48719 + 2.01333i) q^{33} +(2.12729 + 3.68457i) q^{34} +(-2.83688 - 5.57828i) q^{35} +(-0.500000 + 0.866025i) q^{36} -1.68176i q^{37} +(-2.31988 + 3.69028i) q^{38} -0.110916 q^{39} +(-1.01362 - 1.99313i) q^{40} +(-3.88203 + 6.72386i) q^{41} +(-2.42379 + 1.39938i) q^{42} +(6.46509 + 3.73262i) q^{43} +(2.01333 + 3.48719i) q^{44} +(1.87439 + 1.21929i) q^{45} +8.84246 q^{46} +(4.17060 - 2.40790i) q^{47} +(-0.866025 + 0.500000i) q^{48} -0.833029 q^{49} +(-4.57085 + 2.02666i) q^{50} +(-2.12729 - 3.68457i) q^{51} +(-0.0960560 - 0.0554580i) q^{52} +(6.45034 - 3.72410i) q^{53} +(0.500000 - 0.866025i) q^{54} +(8.02567 - 4.08152i) q^{55} -2.79875 q^{56} +(2.31988 - 3.69028i) q^{57} -1.81599i q^{58} +(-0.188606 + 0.326675i) q^{59} +(1.01362 + 1.99313i) q^{60} +(-6.18078 - 10.7054i) q^{61} +(-6.82518 - 3.94052i) q^{62} +(2.42379 - 1.39938i) q^{63} -1.00000 q^{64} +(-0.135239 + 0.207900i) q^{65} +(-2.01333 - 3.48719i) q^{66} +(3.82862 - 2.21046i) q^{67} -4.25457i q^{68} -8.84246 q^{69} +(-0.332330 + 6.24938i) q^{70} +(-5.90675 + 10.2308i) q^{71} +(0.866025 - 0.500000i) q^{72} +(-8.33460 - 4.81199i) q^{73} +(-0.840881 + 1.45645i) q^{74} +(4.57085 - 2.02666i) q^{75} +(3.85421 - 2.03594i) q^{76} -11.2696i q^{77} +(0.0960560 + 0.0554580i) q^{78} +(-2.11845 + 3.66927i) q^{79} +(-0.118742 + 2.23291i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(6.72386 - 3.88203i) q^{82} +8.25792i q^{83} +2.79875 q^{84} +(-9.50009 - 0.505196i) q^{85} +(-3.73262 - 6.46509i) q^{86} +1.81599i q^{87} -4.02666i q^{88} +(5.01501 + 8.68625i) q^{89} +(-1.01362 - 1.99313i) q^{90} +(0.155213 + 0.268837i) q^{91} +(-7.65779 - 4.42123i) q^{92} +(6.82518 + 3.94052i) q^{93} -4.81579 q^{94} +(-4.08842 - 8.84787i) q^{95} +1.00000 q^{96} +(4.52207 + 2.61082i) q^{97} +(0.721424 + 0.416515i) q^{98} +(2.01333 + 3.48719i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q + 10q^{4} - 10q^{6} + 10q^{9} + O(q^{10}) \) \( 20q + 10q^{4} - 10q^{6} + 10q^{9} - 2q^{10} + 12q^{11} + 10q^{14} + 2q^{15} - 10q^{16} + 6q^{19} - 10q^{21} + 10q^{24} + 14q^{25} + 8q^{29} + 40q^{31} + 12q^{34} + 2q^{35} - 10q^{36} + 2q^{40} - 14q^{41} + 6q^{44} + 44q^{46} - 8q^{49} - 8q^{50} - 12q^{51} + 10q^{54} + 20q^{56} + 8q^{59} - 2q^{60} + 16q^{61} - 20q^{64} + 40q^{65} - 6q^{66} - 44q^{69} + 8q^{70} - 4q^{71} + 26q^{74} + 8q^{75} + 8q^{79} - 10q^{81} - 20q^{84} - 16q^{85} - 20q^{86} - 2q^{89} + 2q^{90} - 44q^{91} - 32q^{94} - 80q^{95} + 20q^{96} + 6q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.99313 1.01362i 0.891355 0.453306i
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) 2.79875i 1.05783i −0.848675 0.528915i \(-0.822599\pi\)
0.848675 0.528915i \(-0.177401\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −2.23291 0.118742i −0.706109 0.0375495i
\(11\) 4.02666 1.21408 0.607042 0.794669i \(-0.292356\pi\)
0.607042 + 0.794669i \(0.292356\pi\)
\(12\) 1.00000i 0.288675i
\(13\) −0.0960560 + 0.0554580i −0.0266411 + 0.0153813i −0.513261 0.858232i \(-0.671563\pi\)
0.486620 + 0.873614i \(0.338230\pi\)
\(14\) −1.39938 + 2.42379i −0.373999 + 0.647786i
\(15\) 2.23291 + 0.118742i 0.576536 + 0.0306590i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.68457 2.12729i −0.893639 0.515943i −0.0185079 0.999829i \(-0.505892\pi\)
−0.875131 + 0.483886i \(0.839225\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 0.163933 4.35582i 0.0376087 0.999293i
\(20\) 1.87439 + 1.21929i 0.419126 + 0.272642i
\(21\) 1.39938 2.42379i 0.305369 0.528915i
\(22\) −3.48719 2.01333i −0.743472 0.429244i
\(23\) −7.65779 + 4.42123i −1.59676 + 0.921890i −0.604654 + 0.796489i \(0.706688\pi\)
−0.992106 + 0.125401i \(0.959978\pi\)
\(24\) 0.500000 0.866025i 0.102062 0.176777i
\(25\) 2.94514 4.04057i 0.589027 0.808113i
\(26\) 0.110916 0.0217524
\(27\) 1.00000i 0.192450i
\(28\) 2.42379 1.39938i 0.458054 0.264457i
\(29\) 0.907996 + 1.57270i 0.168611 + 0.292042i 0.937932 0.346820i \(-0.112739\pi\)
−0.769321 + 0.638862i \(0.779405\pi\)
\(30\) −1.87439 1.21929i −0.342215 0.222611i
\(31\) 7.88104 1.41548 0.707739 0.706474i \(-0.249715\pi\)
0.707739 + 0.706474i \(0.249715\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.48719 + 2.01333i 0.607042 + 0.350476i
\(34\) 2.12729 + 3.68457i 0.364827 + 0.631898i
\(35\) −2.83688 5.57828i −0.479521 0.942902i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 1.68176i 0.276480i −0.990399 0.138240i \(-0.955855\pi\)
0.990399 0.138240i \(-0.0441445\pi\)
\(38\) −2.31988 + 3.69028i −0.376334 + 0.598643i
\(39\) −0.110916 −0.0177608
\(40\) −1.01362 1.99313i −0.160268 0.315142i
\(41\) −3.88203 + 6.72386i −0.606270 + 1.05009i 0.385579 + 0.922675i \(0.374002\pi\)
−0.991849 + 0.127416i \(0.959332\pi\)
\(42\) −2.42379 + 1.39938i −0.373999 + 0.215929i
\(43\) 6.46509 + 3.73262i 0.985917 + 0.569219i 0.904051 0.427424i \(-0.140579\pi\)
0.0818657 + 0.996643i \(0.473912\pi\)
\(44\) 2.01333 + 3.48719i 0.303521 + 0.525714i
\(45\) 1.87439 + 1.21929i 0.279417 + 0.181761i
\(46\) 8.84246 1.30375
\(47\) 4.17060 2.40790i 0.608344 0.351228i −0.163973 0.986465i \(-0.552431\pi\)
0.772317 + 0.635237i \(0.219098\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) −0.833029 −0.119004
\(50\) −4.57085 + 2.02666i −0.646415 + 0.286614i
\(51\) −2.12729 3.68457i −0.297880 0.515943i
\(52\) −0.0960560 0.0554580i −0.0133206 0.00769064i
\(53\) 6.45034 3.72410i 0.886022 0.511545i 0.0133827 0.999910i \(-0.495740\pi\)
0.872639 + 0.488365i \(0.162407\pi\)
\(54\) 0.500000 0.866025i 0.0680414 0.117851i
\(55\) 8.02567 4.08152i 1.08218 0.550352i
\(56\) −2.79875 −0.373999
\(57\) 2.31988 3.69028i 0.307275 0.488790i
\(58\) 1.81599i 0.238451i
\(59\) −0.188606 + 0.326675i −0.0245544 + 0.0425294i −0.878041 0.478585i \(-0.841150\pi\)
0.853487 + 0.521114i \(0.174483\pi\)
\(60\) 1.01362 + 1.99313i 0.130858 + 0.257312i
\(61\) −6.18078 10.7054i −0.791368 1.37069i −0.925120 0.379674i \(-0.876036\pi\)
0.133752 0.991015i \(-0.457297\pi\)
\(62\) −6.82518 3.94052i −0.866799 0.500447i
\(63\) 2.42379 1.39938i 0.305369 0.176305i
\(64\) −1.00000 −0.125000
\(65\) −0.135239 + 0.207900i −0.0167743 + 0.0257868i
\(66\) −2.01333 3.48719i −0.247824 0.429244i
\(67\) 3.82862 2.21046i 0.467741 0.270050i −0.247553 0.968874i \(-0.579626\pi\)
0.715293 + 0.698824i \(0.246293\pi\)
\(68\) 4.25457i 0.515943i
\(69\) −8.84246 −1.06451
\(70\) −0.332330 + 6.24938i −0.0397210 + 0.746943i
\(71\) −5.90675 + 10.2308i −0.701002 + 1.21417i 0.267113 + 0.963665i \(0.413930\pi\)
−0.968115 + 0.250506i \(0.919403\pi\)
\(72\) 0.866025 0.500000i 0.102062 0.0589256i
\(73\) −8.33460 4.81199i −0.975492 0.563200i −0.0745857 0.997215i \(-0.523763\pi\)
−0.900906 + 0.434014i \(0.857097\pi\)
\(74\) −0.840881 + 1.45645i −0.0977504 + 0.169309i
\(75\) 4.57085 2.02666i 0.527796 0.234019i
\(76\) 3.85421 2.03594i 0.442109 0.233538i
\(77\) 11.2696i 1.28430i
\(78\) 0.0960560 + 0.0554580i 0.0108762 + 0.00627938i
\(79\) −2.11845 + 3.66927i −0.238344 + 0.412825i −0.960239 0.279178i \(-0.909938\pi\)
0.721895 + 0.692003i \(0.243271\pi\)
\(80\) −0.118742 + 2.23291i −0.0132758 + 0.249647i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 6.72386 3.88203i 0.742527 0.428698i
\(83\) 8.25792i 0.906425i 0.891403 + 0.453212i \(0.149722\pi\)
−0.891403 + 0.453212i \(0.850278\pi\)
\(84\) 2.79875 0.305369
\(85\) −9.50009 0.505196i −1.03043 0.0547962i
\(86\) −3.73262 6.46509i −0.402499 0.697149i
\(87\) 1.81599i 0.194695i
\(88\) 4.02666i 0.429244i
\(89\) 5.01501 + 8.68625i 0.531590 + 0.920740i 0.999320 + 0.0368691i \(0.0117385\pi\)
−0.467730 + 0.883871i \(0.654928\pi\)
\(90\) −1.01362 1.99313i −0.106845 0.210094i
\(91\) 0.155213 + 0.268837i 0.0162708 + 0.0281818i
\(92\) −7.65779 4.42123i −0.798380 0.460945i
\(93\) 6.82518 + 3.94052i 0.707739 + 0.408613i
\(94\) −4.81579 −0.496711
\(95\) −4.08842 8.84787i −0.419463 0.907773i
\(96\) 1.00000 0.102062
\(97\) 4.52207 + 2.61082i 0.459146 + 0.265088i 0.711685 0.702499i \(-0.247932\pi\)
−0.252539 + 0.967587i \(0.581266\pi\)
\(98\) 0.721424 + 0.416515i 0.0728749 + 0.0420743i
\(99\) 2.01333 + 3.48719i 0.202347 + 0.350476i
\(100\) 4.97180 + 0.530281i 0.497180 + 0.0530281i
\(101\) −5.86577 10.1598i −0.583666 1.01094i −0.995040 0.0994725i \(-0.968284\pi\)
0.411374 0.911466i \(-0.365049\pi\)
\(102\) 4.25457i 0.421265i
\(103\) 17.9496i 1.76863i 0.466890 + 0.884315i \(0.345374\pi\)
−0.466890 + 0.884315i \(0.654626\pi\)
\(104\) 0.0554580 + 0.0960560i 0.00543810 + 0.00941907i
\(105\) 0.332330 6.24938i 0.0324320 0.609877i
\(106\) −7.44821 −0.723434
\(107\) 15.1358i 1.46324i 0.681714 + 0.731619i \(0.261235\pi\)
−0.681714 + 0.731619i \(0.738765\pi\)
\(108\) −0.866025 + 0.500000i −0.0833333 + 0.0481125i
\(109\) −4.29258 + 7.43496i −0.411154 + 0.712140i −0.995016 0.0997127i \(-0.968208\pi\)
0.583862 + 0.811853i \(0.301541\pi\)
\(110\) −8.99119 0.478134i −0.857276 0.0455883i
\(111\) 0.840881 1.45645i 0.0798129 0.138240i
\(112\) 2.42379 + 1.39938i 0.229027 + 0.132229i
\(113\) 1.24691i 0.117299i −0.998279 0.0586497i \(-0.981321\pi\)
0.998279 0.0586497i \(-0.0186795\pi\)
\(114\) −3.85421 + 2.03594i −0.360980 + 0.190683i
\(115\) −10.7815 + 16.5742i −1.00538 + 1.54555i
\(116\) −0.907996 + 1.57270i −0.0843053 + 0.146021i
\(117\) −0.0960560 0.0554580i −0.00888038 0.00512709i
\(118\) 0.326675 0.188606i 0.0300728 0.0173626i
\(119\) −5.95375 + 10.3122i −0.545780 + 0.945318i
\(120\) 0.118742 2.23291i 0.0108396 0.203836i
\(121\) 5.21402 0.474002
\(122\) 12.3616i 1.11916i
\(123\) −6.72386 + 3.88203i −0.606270 + 0.350030i
\(124\) 3.94052 + 6.82518i 0.353869 + 0.612920i
\(125\) 1.77443 11.0386i 0.158710 0.987325i
\(126\) −2.79875 −0.249333
\(127\) 11.9143 6.87872i 1.05722 0.610388i 0.132560 0.991175i \(-0.457680\pi\)
0.924663 + 0.380787i \(0.124347\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 3.73262 + 6.46509i 0.328639 + 0.569219i
\(130\) 0.221070 0.112427i 0.0193891 0.00986050i
\(131\) 6.42860 11.1347i 0.561669 0.972840i −0.435682 0.900101i \(-0.643493\pi\)
0.997351 0.0727388i \(-0.0231739\pi\)
\(132\) 4.02666i 0.350476i
\(133\) −12.1909 0.458807i −1.05708 0.0397836i
\(134\) −4.42091 −0.381909
\(135\) 1.01362 + 1.99313i 0.0872388 + 0.171541i
\(136\) −2.12729 + 3.68457i −0.182413 + 0.315949i
\(137\) −7.06060 + 4.07644i −0.603228 + 0.348274i −0.770310 0.637669i \(-0.779899\pi\)
0.167082 + 0.985943i \(0.446565\pi\)
\(138\) 7.65779 + 4.42123i 0.651874 + 0.376360i
\(139\) 1.14277 + 1.97934i 0.0969289 + 0.167886i 0.910412 0.413703i \(-0.135765\pi\)
−0.813483 + 0.581589i \(0.802431\pi\)
\(140\) 3.41249 5.24595i 0.288408 0.443364i
\(141\) 4.81579 0.405563
\(142\) 10.2308 5.90675i 0.858549 0.495683i
\(143\) −0.386785 + 0.223311i −0.0323446 + 0.0186742i
\(144\) −1.00000 −0.0833333
\(145\) 3.40388 + 2.21422i 0.282676 + 0.183881i
\(146\) 4.81199 + 8.33460i 0.398243 + 0.689777i
\(147\) −0.721424 0.416515i −0.0595021 0.0343535i
\(148\) 1.45645 0.840881i 0.119719 0.0691200i
\(149\) −9.36462 + 16.2200i −0.767180 + 1.32879i 0.171907 + 0.985113i \(0.445007\pi\)
−0.939086 + 0.343681i \(0.888326\pi\)
\(150\) −4.97180 0.530281i −0.405946 0.0432972i
\(151\) −16.1394 −1.31341 −0.656703 0.754150i \(-0.728049\pi\)
−0.656703 + 0.754150i \(0.728049\pi\)
\(152\) −4.35582 0.163933i −0.353303 0.0132967i
\(153\) 4.25457i 0.343962i
\(154\) −5.63482 + 9.75980i −0.454067 + 0.786467i
\(155\) 15.7079 7.98841i 1.26169 0.641644i
\(156\) −0.0554580 0.0960560i −0.00444019 0.00769064i
\(157\) 6.73626 + 3.88918i 0.537612 + 0.310390i 0.744110 0.668057i \(-0.232874\pi\)
−0.206499 + 0.978447i \(0.566207\pi\)
\(158\) 3.66927 2.11845i 0.291911 0.168535i
\(159\) 7.44821 0.590681
\(160\) 1.21929 1.87439i 0.0963933 0.148183i
\(161\) 12.3739 + 21.4323i 0.975202 + 1.68910i
\(162\) 0.866025 0.500000i 0.0680414 0.0392837i
\(163\) 1.99824i 0.156514i 0.996933 + 0.0782570i \(0.0249355\pi\)
−0.996933 + 0.0782570i \(0.975065\pi\)
\(164\) −7.76405 −0.606270
\(165\) 8.99119 + 0.478134i 0.699963 + 0.0372227i
\(166\) 4.12896 7.15157i 0.320470 0.555069i
\(167\) −15.5791 + 8.99462i −1.20555 + 0.696024i −0.961784 0.273810i \(-0.911716\pi\)
−0.243766 + 0.969834i \(0.578383\pi\)
\(168\) −2.42379 1.39938i −0.187000 0.107964i
\(169\) −6.49385 + 11.2477i −0.499527 + 0.865206i
\(170\) 7.97472 + 5.18756i 0.611633 + 0.397868i
\(171\) 3.85421 2.03594i 0.294739 0.155692i
\(172\) 7.46524i 0.569219i
\(173\) −13.2653 7.65871i −1.00854 0.582281i −0.0977767 0.995208i \(-0.531173\pi\)
−0.910764 + 0.412927i \(0.864506\pi\)
\(174\) 0.907996 1.57270i 0.0688350 0.119226i
\(175\) −11.3086 8.24272i −0.854846 0.623091i
\(176\) −2.01333 + 3.48719i −0.151761 + 0.262857i
\(177\) −0.326675 + 0.188606i −0.0245544 + 0.0141765i
\(178\) 10.0300i 0.751781i
\(179\) 10.8958 0.814389 0.407195 0.913341i \(-0.366507\pi\)
0.407195 + 0.913341i \(0.366507\pi\)
\(180\) −0.118742 + 2.23291i −0.00885050 + 0.166432i
\(181\) −9.12604 15.8068i −0.678333 1.17491i −0.975483 0.220076i \(-0.929369\pi\)
0.297150 0.954831i \(-0.403964\pi\)
\(182\) 0.310427i 0.0230103i
\(183\) 12.3616i 0.913793i
\(184\) 4.42123 + 7.65779i 0.325937 + 0.564540i
\(185\) −1.70467 3.35197i −0.125330 0.246442i
\(186\) −3.94052 6.82518i −0.288933 0.500447i
\(187\) −14.8365 8.56587i −1.08495 0.626398i
\(188\) 4.17060 + 2.40790i 0.304172 + 0.175614i
\(189\) 2.79875 0.203579
\(190\) −0.883265 + 9.70669i −0.0640788 + 0.704197i
\(191\) −17.2519 −1.24830 −0.624151 0.781304i \(-0.714555\pi\)
−0.624151 + 0.781304i \(0.714555\pi\)
\(192\) −0.866025 0.500000i −0.0625000 0.0360844i
\(193\) 5.47129 + 3.15885i 0.393832 + 0.227379i 0.683819 0.729651i \(-0.260318\pi\)
−0.289987 + 0.957031i \(0.593651\pi\)
\(194\) −2.61082 4.52207i −0.187446 0.324665i
\(195\) −0.221070 + 0.112427i −0.0158311 + 0.00805106i
\(196\) −0.416515 0.721424i −0.0297510 0.0515303i
\(197\) 8.79248i 0.626438i 0.949681 + 0.313219i \(0.101407\pi\)
−0.949681 + 0.313219i \(0.898593\pi\)
\(198\) 4.02666i 0.286163i
\(199\) 2.38605 + 4.13275i 0.169142 + 0.292963i 0.938119 0.346314i \(-0.112567\pi\)
−0.768976 + 0.639277i \(0.779234\pi\)
\(200\) −4.04057 2.94514i −0.285711 0.208253i
\(201\) 4.42091 0.311827
\(202\) 11.7315i 0.825428i
\(203\) 4.40159 2.54126i 0.308931 0.178361i
\(204\) 2.12729 3.68457i 0.148940 0.257971i
\(205\) −0.921918 + 17.3364i −0.0643896 + 1.21083i
\(206\) 8.97482 15.5448i 0.625305 1.08306i
\(207\) −7.65779 4.42123i −0.532253 0.307297i
\(208\) 0.110916i 0.00769064i
\(209\) 0.660101 17.5394i 0.0456601 1.21323i
\(210\) −3.41249 + 5.24595i −0.235484 + 0.362005i
\(211\) −10.6837 + 18.5047i −0.735497 + 1.27392i 0.219007 + 0.975723i \(0.429718\pi\)
−0.954505 + 0.298196i \(0.903615\pi\)
\(212\) 6.45034 + 3.72410i 0.443011 + 0.255772i
\(213\) −10.2308 + 5.90675i −0.701002 + 0.404724i
\(214\) 7.56792 13.1080i 0.517333 0.896046i
\(215\) 16.6692 + 0.886437i 1.13683 + 0.0604545i
\(216\) 1.00000 0.0680414
\(217\) 22.0571i 1.49733i
\(218\) 7.43496 4.29258i 0.503559 0.290730i
\(219\) −4.81199 8.33460i −0.325164 0.563200i
\(220\) 7.54753 + 4.90967i 0.508854 + 0.331010i
\(221\) 0.471900 0.0317434
\(222\) −1.45645 + 0.840881i −0.0977504 + 0.0564362i
\(223\) −0.769596 0.444327i −0.0515360 0.0297543i 0.474011 0.880519i \(-0.342806\pi\)
−0.525547 + 0.850765i \(0.676139\pi\)
\(224\) −1.39938 2.42379i −0.0934998 0.161946i
\(225\) 4.97180 + 0.530281i 0.331453 + 0.0353521i
\(226\) −0.623455 + 1.07986i −0.0414716 + 0.0718309i
\(227\) 0.227679i 0.0151116i 0.999971 + 0.00755579i \(0.00240511\pi\)
−0.999971 + 0.00755579i \(0.997595\pi\)
\(228\) 4.35582 + 0.163933i 0.288471 + 0.0108567i
\(229\) −16.2385 −1.07307 −0.536536 0.843878i \(-0.680267\pi\)
−0.536536 + 0.843878i \(0.680267\pi\)
\(230\) 17.6242 8.96292i 1.16210 0.590997i
\(231\) 5.63482 9.75980i 0.370744 0.642148i
\(232\) 1.57270 0.907996i 0.103253 0.0596129i
\(233\) 2.89217 + 1.66979i 0.189472 + 0.109392i 0.591735 0.806132i \(-0.298443\pi\)
−0.402263 + 0.915524i \(0.631776\pi\)
\(234\) 0.0554580 + 0.0960560i 0.00362540 + 0.00627938i
\(235\) 5.87185 9.02666i 0.383037 0.588835i
\(236\) −0.377211 −0.0245544
\(237\) −3.66927 + 2.11845i −0.238344 + 0.137608i
\(238\) 10.3122 5.95375i 0.668441 0.385924i
\(239\) 28.3414 1.83325 0.916626 0.399745i \(-0.130901\pi\)
0.916626 + 0.399745i \(0.130901\pi\)
\(240\) −1.21929 + 1.87439i −0.0787048 + 0.120991i
\(241\) −7.12956 12.3488i −0.459255 0.795453i 0.539667 0.841879i \(-0.318550\pi\)
−0.998922 + 0.0464255i \(0.985217\pi\)
\(242\) −4.51547 2.60701i −0.290266 0.167585i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 6.18078 10.7054i 0.395684 0.685345i
\(245\) −1.66034 + 0.844377i −0.106075 + 0.0539453i
\(246\) 7.76405 0.495018
\(247\) 0.225818 + 0.427494i 0.0143685 + 0.0272008i
\(248\) 7.88104i 0.500447i
\(249\) −4.12896 + 7.15157i −0.261662 + 0.453212i
\(250\) −7.05602 + 8.67252i −0.446262 + 0.548498i
\(251\) 12.1437 + 21.0334i 0.766501 + 1.32762i 0.939449 + 0.342687i \(0.111337\pi\)
−0.172949 + 0.984931i \(0.555329\pi\)
\(252\) 2.42379 + 1.39938i 0.152685 + 0.0881525i
\(253\) −30.8353 + 17.8028i −1.93860 + 1.11925i
\(254\) −13.7574 −0.863219
\(255\) −7.97472 5.18756i −0.499396 0.324857i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.06264 1.19086i 0.128664 0.0742840i −0.434287 0.900775i \(-0.643000\pi\)
0.562950 + 0.826491i \(0.309666\pi\)
\(258\) 7.46524i 0.464766i
\(259\) −4.70684 −0.292469
\(260\) −0.247666 0.0131704i −0.0153596 0.000816792i
\(261\) −0.907996 + 1.57270i −0.0562036 + 0.0973474i
\(262\) −11.1347 + 6.42860i −0.687901 + 0.397160i
\(263\) −6.92724 3.99944i −0.427152 0.246616i 0.270981 0.962585i \(-0.412652\pi\)
−0.698133 + 0.715969i \(0.745985\pi\)
\(264\) 2.01333 3.48719i 0.123912 0.214622i
\(265\) 9.08152 13.9608i 0.557874 0.857607i
\(266\) 10.3282 + 6.49277i 0.633262 + 0.398097i
\(267\) 10.0300i 0.613827i
\(268\) 3.82862 + 2.21046i 0.233870 + 0.135025i
\(269\) 5.32072 9.21576i 0.324410 0.561895i −0.656983 0.753906i \(-0.728168\pi\)
0.981393 + 0.192011i \(0.0615009\pi\)
\(270\) 0.118742 2.23291i 0.00722640 0.135891i
\(271\) 8.07644 13.9888i 0.490609 0.849759i −0.509333 0.860570i \(-0.670108\pi\)
0.999942 + 0.0108102i \(0.00344107\pi\)
\(272\) 3.68457 2.12729i 0.223410 0.128986i
\(273\) 0.310427i 0.0187879i
\(274\) 8.15288 0.492534
\(275\) 11.8591 16.2700i 0.715129 0.981118i
\(276\) −4.42123 7.65779i −0.266127 0.460945i
\(277\) 21.6950i 1.30352i −0.758423 0.651762i \(-0.774030\pi\)
0.758423 0.651762i \(-0.225970\pi\)
\(278\) 2.28555i 0.137078i
\(279\) 3.94052 + 6.82518i 0.235913 + 0.408613i
\(280\) −5.57828 + 2.83688i −0.333366 + 0.169536i
\(281\) −0.595143 1.03082i −0.0355032 0.0614934i 0.847728 0.530431i \(-0.177970\pi\)
−0.883231 + 0.468938i \(0.844637\pi\)
\(282\) −4.17060 2.40790i −0.248355 0.143388i
\(283\) −0.262002 0.151267i −0.0155744 0.00899189i 0.492193 0.870486i \(-0.336196\pi\)
−0.507767 + 0.861494i \(0.669529\pi\)
\(284\) −11.8135 −0.701002
\(285\) 0.883265 9.70669i 0.0523201 0.574975i
\(286\) 0.446621 0.0264093
\(287\) 18.8184 + 10.8648i 1.11082 + 0.641331i
\(288\) 0.866025 + 0.500000i 0.0510310 + 0.0294628i
\(289\) 0.550694 + 0.953829i 0.0323937 + 0.0561076i
\(290\) −1.84073 3.61951i −0.108091 0.212545i
\(291\) 2.61082 + 4.52207i 0.153049 + 0.265088i
\(292\) 9.62397i 0.563200i
\(293\) 25.2078i 1.47266i −0.676625 0.736328i \(-0.736558\pi\)
0.676625 0.736328i \(-0.263442\pi\)
\(294\) 0.416515 + 0.721424i 0.0242916 + 0.0420743i
\(295\) −0.0447908 + 0.842280i −0.00260782 + 0.0490395i
\(296\) −1.68176 −0.0977504
\(297\) 4.02666i 0.233651i
\(298\) 16.2200 9.36462i 0.939599 0.542478i
\(299\) 0.490385 0.849371i 0.0283597 0.0491204i
\(300\) 4.04057 + 2.94514i 0.233282 + 0.170038i
\(301\) 10.4467 18.0942i 0.602137 1.04293i
\(302\) 13.9771 + 8.06970i 0.804293 + 0.464359i
\(303\) 11.7315i 0.673959i
\(304\) 3.69028 + 2.31988i 0.211652 + 0.133054i
\(305\) −23.1704 15.0723i −1.32673 0.863039i
\(306\) −2.12729 + 3.68457i −0.121609 + 0.210633i
\(307\) 19.7299 + 11.3911i 1.12605 + 0.650123i 0.942938 0.332969i \(-0.108050\pi\)
0.183109 + 0.983093i \(0.441384\pi\)
\(308\) 9.75980 5.63482i 0.556116 0.321074i
\(309\) −8.97482 + 15.5448i −0.510560 + 0.884315i
\(310\) −17.5977 0.935810i −0.999481 0.0531505i
\(311\) −12.0752 −0.684724 −0.342362 0.939568i \(-0.611227\pi\)
−0.342362 + 0.939568i \(0.611227\pi\)
\(312\) 0.110916i 0.00627938i
\(313\) −9.22306 + 5.32494i −0.521318 + 0.300983i −0.737474 0.675376i \(-0.763981\pi\)
0.216156 + 0.976359i \(0.430648\pi\)
\(314\) −3.88918 6.73626i −0.219479 0.380149i
\(315\) 3.41249 5.24595i 0.192272 0.295576i
\(316\) −4.23690 −0.238344
\(317\) 14.3154 8.26498i 0.804031 0.464208i −0.0408477 0.999165i \(-0.513006\pi\)
0.844879 + 0.534958i \(0.179673\pi\)
\(318\) −6.45034 3.72410i −0.361717 0.208837i
\(319\) 3.65620 + 6.33272i 0.204708 + 0.354564i
\(320\) −1.99313 + 1.01362i −0.111419 + 0.0566632i
\(321\) −7.56792 + 13.1080i −0.422400 + 0.731619i
\(322\) 24.7479i 1.37914i
\(323\) −9.87009 + 15.7006i −0.549186 + 0.873603i
\(324\) −1.00000 −0.0555556
\(325\) −0.0588166 + 0.551452i −0.00326256 + 0.0305891i
\(326\) 0.999118 1.73052i 0.0553360 0.0958448i
\(327\) −7.43496 + 4.29258i −0.411154 + 0.237380i
\(328\) 6.72386 + 3.88203i 0.371263 + 0.214349i
\(329\) −6.73911 11.6725i −0.371539 0.643525i
\(330\) −7.54753 4.90967i −0.415478 0.270268i
\(331\) 33.3848 1.83499 0.917496 0.397744i \(-0.130207\pi\)
0.917496 + 0.397744i \(0.130207\pi\)
\(332\) −7.15157 + 4.12896i −0.392493 + 0.226606i
\(333\) 1.45645 0.840881i 0.0798129 0.0460800i
\(334\) 17.9892 0.984327
\(335\) 5.39037 8.28651i 0.294508 0.452740i
\(336\) 1.39938 + 2.42379i 0.0763423 + 0.132229i
\(337\) 19.2072 + 11.0893i 1.04628 + 0.604072i 0.921607 0.388125i \(-0.126877\pi\)
0.124677 + 0.992197i \(0.460211\pi\)
\(338\) 11.2477 6.49385i 0.611793 0.353219i
\(339\) 0.623455 1.07986i 0.0338614 0.0586497i
\(340\) −4.31253 8.47992i −0.233880 0.459888i
\(341\) 31.7343 1.71851
\(342\) −4.35582 0.163933i −0.235536 0.00886446i
\(343\) 17.2598i 0.931944i
\(344\) 3.73262 6.46509i 0.201249 0.348574i
\(345\) −17.6242 + 8.96292i −0.948853 + 0.482547i
\(346\) 7.65871 + 13.2653i 0.411735 + 0.713146i
\(347\) −15.7368 9.08564i −0.844795 0.487743i 0.0140963 0.999901i \(-0.495513\pi\)
−0.858891 + 0.512158i \(0.828846\pi\)
\(348\) −1.57270 + 0.907996i −0.0843053 + 0.0486737i
\(349\) −5.54988 −0.297078 −0.148539 0.988907i \(-0.547457\pi\)
−0.148539 + 0.988907i \(0.547457\pi\)
\(350\) 5.67213 + 12.7927i 0.303188 + 0.683797i
\(351\) −0.0554580 0.0960560i −0.00296013 0.00512709i
\(352\) 3.48719 2.01333i 0.185868 0.107311i
\(353\) 11.9998i 0.638686i 0.947639 + 0.319343i \(0.103462\pi\)
−0.947639 + 0.319343i \(0.896538\pi\)
\(354\) 0.377211 0.0200486
\(355\) −1.40276 + 26.3785i −0.0744506 + 1.40003i
\(356\) −5.01501 + 8.68625i −0.265795 + 0.460370i
\(357\) −10.3122 + 5.95375i −0.545780 + 0.315106i
\(358\) −9.43602 5.44789i −0.498709 0.287930i
\(359\) 15.8492 27.4515i 0.836487 1.44884i −0.0563277 0.998412i \(-0.517939\pi\)
0.892814 0.450425i \(-0.148728\pi\)
\(360\) 1.21929 1.87439i 0.0642622 0.0987889i
\(361\) −18.9463 1.42812i −0.997171 0.0751642i
\(362\) 18.2521i 0.959308i
\(363\) 4.51547 + 2.60701i 0.237001 + 0.136833i
\(364\) −0.155213 + 0.268837i −0.00813539 + 0.0140909i
\(365\) −21.4895 1.14277i −1.12481 0.0598153i
\(366\) −6.18078 + 10.7054i −0.323075 + 0.559582i
\(367\) 3.14212 1.81410i 0.164017 0.0946954i −0.415745 0.909481i \(-0.636479\pi\)
0.579762 + 0.814786i \(0.303146\pi\)
\(368\) 8.84246i 0.460945i
\(369\) −7.76405 −0.404180
\(370\) −0.199696 + 3.75523i −0.0103817 + 0.195225i
\(371\) −10.4229 18.0529i −0.541128 0.937260i
\(372\) 7.88104i 0.408613i
\(373\) 7.74901i 0.401228i −0.979670 0.200614i \(-0.935706\pi\)
0.979670 0.200614i \(-0.0642938\pi\)
\(374\) 8.56587 + 14.8365i 0.442930 + 0.767178i
\(375\) 7.05602 8.67252i 0.364371 0.447847i
\(376\) −2.40790 4.17060i −0.124178 0.215082i
\(377\) −0.174437 0.100711i −0.00898396 0.00518689i
\(378\) −2.42379 1.39938i −0.124666 0.0719762i
\(379\) 6.68218 0.343241 0.171620 0.985163i \(-0.445100\pi\)
0.171620 + 0.985163i \(0.445100\pi\)
\(380\) 5.61828 7.96461i 0.288211 0.408576i
\(381\) 13.7574 0.704815
\(382\) 14.9406 + 8.62594i 0.764426 + 0.441341i
\(383\) 17.5053 + 10.1067i 0.894479 + 0.516428i 0.875405 0.483390i \(-0.160595\pi\)
0.0190744 + 0.999818i \(0.493928\pi\)
\(384\) 0.500000 + 0.866025i 0.0255155 + 0.0441942i
\(385\) −11.4232 22.4619i −0.582179 1.14476i
\(386\) −3.15885 5.47129i −0.160781 0.278481i
\(387\) 7.46524i 0.379480i
\(388\) 5.22163i 0.265088i
\(389\) 0.559544 + 0.969159i 0.0283700 + 0.0491383i 0.879862 0.475230i \(-0.157635\pi\)
−0.851492 + 0.524368i \(0.824302\pi\)
\(390\) 0.247666 + 0.0131704i 0.0125410 + 0.000666908i
\(391\) 37.6209 1.90257
\(392\) 0.833029i 0.0420743i
\(393\) 11.1347 6.42860i 0.561669 0.324280i
\(394\) 4.39624 7.61451i 0.221479 0.383613i
\(395\) −0.503098 + 9.46064i −0.0253136 + 0.476016i
\(396\) −2.01333 + 3.48719i −0.101174 + 0.175238i
\(397\) 8.44367 + 4.87495i 0.423776 + 0.244667i 0.696691 0.717371i \(-0.254655\pi\)
−0.272916 + 0.962038i \(0.587988\pi\)
\(398\) 4.77209i 0.239203i
\(399\) −10.3282 6.49277i −0.517056 0.325045i
\(400\) 2.02666 + 4.57085i 0.101333 + 0.228542i
\(401\) −4.85007 + 8.40056i −0.242201 + 0.419504i −0.961341 0.275361i \(-0.911203\pi\)
0.719140 + 0.694865i \(0.244536\pi\)
\(402\) −3.82862 2.21046i −0.190954 0.110248i
\(403\) −0.757022 + 0.437067i −0.0377099 + 0.0217718i
\(404\) 5.86577 10.1598i 0.291833 0.505469i
\(405\) −0.118742 + 2.23291i −0.00590033 + 0.110954i
\(406\) −5.08252 −0.252241
\(407\) 6.77189i 0.335670i
\(408\) −3.68457 + 2.12729i −0.182413 + 0.105316i
\(409\) 1.03028 + 1.78451i 0.0509443 + 0.0882381i 0.890373 0.455232i \(-0.150444\pi\)
−0.839429 + 0.543470i \(0.817110\pi\)
\(410\) 9.46663 14.5528i 0.467523 0.718714i
\(411\) −8.15288 −0.402152
\(412\) −15.5448 + 8.97482i −0.765840 + 0.442158i
\(413\) 0.914282 + 0.527861i 0.0449889 + 0.0259744i
\(414\) 4.42123 + 7.65779i 0.217291 + 0.376360i
\(415\) 8.37042 + 16.4591i 0.410888 + 0.807946i
\(416\) −0.0554580 + 0.0960560i −0.00271905 + 0.00470953i
\(417\) 2.28555i 0.111924i
\(418\) −9.34137 + 14.8595i −0.456901 + 0.726803i
\(419\) 17.5492 0.857336 0.428668 0.903462i \(-0.358983\pi\)
0.428668 + 0.903462i \(0.358983\pi\)
\(420\) 5.57828 2.83688i 0.272192 0.138426i
\(421\) −5.86950 + 10.1663i −0.286062 + 0.495474i −0.972866 0.231369i \(-0.925680\pi\)
0.686804 + 0.726842i \(0.259013\pi\)
\(422\) 18.5047 10.6837i 0.900797 0.520075i
\(423\) 4.17060 + 2.40790i 0.202781 + 0.117076i
\(424\) −3.72410 6.45034i −0.180858 0.313256i
\(425\) −19.4470 + 8.62259i −0.943318 + 0.418257i
\(426\) 11.8135 0.572366
\(427\) −29.9619 + 17.2985i −1.44996 + 0.837133i
\(428\) −13.1080 + 7.56792i −0.633600 + 0.365809i
\(429\) −0.446621 −0.0215631
\(430\) −13.9928 9.10230i −0.674791 0.438952i
\(431\) −9.77272 16.9268i −0.470735 0.815337i 0.528705 0.848806i \(-0.322678\pi\)
−0.999440 + 0.0334686i \(0.989345\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) −30.9164 + 17.8496i −1.48575 + 0.857797i −0.999868 0.0162277i \(-0.994834\pi\)
−0.485881 + 0.874025i \(0.661501\pi\)
\(434\) −11.0286 + 19.1020i −0.529388 + 0.916926i
\(435\) 1.84073 + 3.61951i 0.0882563 + 0.173542i
\(436\) −8.58516 −0.411154
\(437\) 18.0027 + 34.0807i 0.861185 + 1.63030i
\(438\) 9.62397i 0.459851i
\(439\) −19.4194 + 33.6354i −0.926838 + 1.60533i −0.138259 + 0.990396i \(0.544151\pi\)
−0.788579 + 0.614934i \(0.789183\pi\)
\(440\) −4.08152 8.02567i −0.194579 0.382609i
\(441\) −0.416515 0.721424i −0.0198340 0.0343535i
\(442\) −0.408677 0.235950i −0.0194388 0.0112230i
\(443\) −25.1014 + 14.4923i −1.19260 + 0.688549i −0.958896 0.283758i \(-0.908419\pi\)
−0.233707 + 0.972307i \(0.575086\pi\)
\(444\) 1.68176 0.0798129
\(445\) 18.8001 + 12.2295i 0.891212 + 0.579734i
\(446\) 0.444327 + 0.769596i 0.0210395 + 0.0364414i
\(447\) −16.2200 + 9.36462i −0.767180 + 0.442931i
\(448\) 2.79875i 0.132229i
\(449\) −11.5314 −0.544201 −0.272100 0.962269i \(-0.587718\pi\)
−0.272100 + 0.962269i \(0.587718\pi\)
\(450\) −4.04057 2.94514i −0.190474 0.138835i
\(451\) −15.6316 + 27.0747i −0.736064 + 1.27490i
\(452\) 1.07986 0.623455i 0.0507921 0.0293248i
\(453\) −13.9771 8.06970i −0.656703 0.379147i
\(454\) 0.113839 0.197176i 0.00534275 0.00925392i
\(455\) 0.581860 + 0.378500i 0.0272780 + 0.0177444i
\(456\) −3.69028 2.31988i −0.172813 0.108638i
\(457\) 22.1107i 1.03430i −0.855896 0.517148i \(-0.826994\pi\)
0.855896 0.517148i \(-0.173006\pi\)
\(458\) 14.0630 + 8.11926i 0.657119 + 0.379388i
\(459\) 2.12729 3.68457i 0.0992932 0.171981i
\(460\) −19.7444 1.04997i −0.920589 0.0489551i
\(461\) −9.08841 + 15.7416i −0.423289 + 0.733159i −0.996259 0.0864179i \(-0.972458\pi\)
0.572970 + 0.819577i \(0.305791\pi\)
\(462\) −9.75980 + 5.63482i −0.454067 + 0.262156i
\(463\) 34.9548i 1.62449i 0.583318 + 0.812244i \(0.301754\pi\)
−0.583318 + 0.812244i \(0.698246\pi\)
\(464\) −1.81599 −0.0843053
\(465\) 17.5977 + 0.935810i 0.816073 + 0.0433972i
\(466\) −1.66979 2.89217i −0.0773517 0.133977i
\(467\) 13.0120i 0.602125i −0.953604 0.301063i \(-0.902659\pi\)
0.953604 0.301063i \(-0.0973414\pi\)
\(468\) 0.110916i 0.00512709i
\(469\) −6.18652 10.7154i −0.285667 0.494790i
\(470\) −9.59850 + 4.88140i −0.442746 + 0.225162i
\(471\) 3.88918 + 6.73626i 0.179204 + 0.310390i
\(472\) 0.326675 + 0.188606i 0.0150364 + 0.00868128i
\(473\) 26.0327 + 15.0300i 1.19699 + 0.691081i
\(474\) 4.23690 0.194607
\(475\) −17.1172 13.4909i −0.785389 0.619003i
\(476\) −11.9075 −0.545780
\(477\) 6.45034 + 3.72410i 0.295341 + 0.170515i
\(478\) −24.5444 14.1707i −1.12263 0.648153i
\(479\) −15.1415 26.2259i −0.691833 1.19829i −0.971237 0.238117i \(-0.923470\pi\)
0.279403 0.960174i \(-0.409863\pi\)
\(480\) 1.99313 1.01362i 0.0909735 0.0462653i
\(481\) 0.0932671 + 0.161543i 0.00425261 + 0.00736574i
\(482\) 14.2591i 0.649485i
\(483\) 24.7479i 1.12607i
\(484\) 2.60701 + 4.51547i 0.118500 + 0.205249i
\(485\) 11.6594 + 0.620027i 0.529428 + 0.0281540i
\(486\) 1.00000 0.0453609
\(487\) 35.5166i 1.60941i −0.593674 0.804706i \(-0.702323\pi\)
0.593674 0.804706i \(-0.297677\pi\)
\(488\) −10.7054 + 6.18078i −0.484612 + 0.279791i
\(489\) −0.999118 + 1.73052i −0.0451817 + 0.0782570i
\(490\) 1.86008 + 0.0989155i 0.0840299 + 0.00446855i
\(491\) 5.36057 9.28479i 0.241919 0.419017i −0.719342 0.694656i \(-0.755556\pi\)
0.961261 + 0.275640i \(0.0888897\pi\)
\(492\) −6.72386 3.88203i −0.303135 0.175015i
\(493\) 7.72627i 0.347974i
\(494\) 0.0181827 0.483129i 0.000818080 0.0217370i
\(495\) 7.54753 + 4.90967i 0.339236 + 0.220673i
\(496\) −3.94052 + 6.82518i −0.176935 + 0.306460i
\(497\) 28.6335 + 16.5315i 1.28439 + 0.741541i
\(498\) 7.15157 4.12896i 0.320470 0.185023i
\(499\) 12.0259 20.8295i 0.538353 0.932455i −0.460640 0.887587i \(-0.652380\pi\)
0.998993 0.0448675i \(-0.0142866\pi\)
\(500\) 10.4470 3.98261i 0.467202 0.178108i
\(501\) −17.9892 −0.803700
\(502\) 24.2873i 1.08400i
\(503\) 34.4057 19.8642i 1.53408 0.885699i 0.534909 0.844910i \(-0.320346\pi\)
0.999168 0.0407894i \(-0.0129873\pi\)
\(504\) −1.39938 2.42379i −0.0623332 0.107964i
\(505\) −21.9895 14.3041i −0.978518 0.636526i
\(506\) 35.6056 1.58286
\(507\) −11.2477 + 6.49385i −0.499527 + 0.288402i
\(508\) 11.9143 + 6.87872i 0.528611 + 0.305194i
\(509\) −2.51441 4.35509i −0.111449 0.193036i 0.804905 0.593403i \(-0.202216\pi\)
−0.916355 + 0.400367i \(0.868883\pi\)
\(510\) 4.31253 + 8.47992i 0.190962 + 0.375497i
\(511\) −13.4676 + 23.3265i −0.595770 + 1.03190i
\(512\) 1.00000i 0.0441942i
\(513\) 4.35582 + 0.163933i 0.192314 + 0.00723780i
\(514\) −2.38173 −0.105053
\(515\) 18.1942 + 35.7760i 0.801731 + 1.57648i
\(516\) −3.73262 + 6.46509i −0.164320 + 0.284610i
\(517\) 16.7936 9.69579i 0.738581 0.426420i
\(518\) 4.07624 + 2.35342i 0.179100 + 0.103403i
\(519\) −7.65871 13.2653i −0.336180 0.582281i
\(520\) 0.207900 + 0.135239i 0.00911700 + 0.00593061i
\(521\) −43.2225 −1.89361 −0.946806 0.321806i \(-0.895710\pi\)
−0.946806 + 0.321806i \(0.895710\pi\)
\(522\) 1.57270 0.907996i 0.0688350 0.0397419i
\(523\) −0.0430629 + 0.0248624i −0.00188301 + 0.00108716i −0.500941 0.865481i \(-0.667013\pi\)
0.499058 + 0.866568i \(0.333679\pi\)
\(524\) 12.8572 0.561669
\(525\) −5.67213 12.7927i −0.247552 0.558318i
\(526\) 3.99944 + 6.92724i 0.174384 + 0.302042i
\(527\) −29.0382 16.7652i −1.26493 0.730305i
\(528\) −3.48719 + 2.01333i −0.151761 + 0.0876190i
\(529\) 27.5945 47.7951i 1.19976 2.07805i
\(530\) −14.8452 + 7.54967i −0.644836 + 0.327937i
\(531\) −0.377211 −0.0163696
\(532\) −5.69809 10.7870i −0.247044 0.467676i
\(533\) 0.861157i 0.0373008i
\(534\) 5.01501 8.68625i 0.217021 0.375891i
\(535\) 15.3420 + 30.1677i 0.663294 + 1.30426i
\(536\) −2.21046 3.82862i −0.0954772 0.165371i
\(537\) 9.43602 + 5.44789i 0.407195 + 0.235094i
\(538\) −9.21576 + 5.32072i −0.397320 + 0.229393i
\(539\) −3.35433 −0.144481
\(540\) −1.21929 + 1.87439i −0.0524699 + 0.0806608i
\(541\) 3.67092 + 6.35822i 0.157825 + 0.273361i 0.934084 0.357053i \(-0.116218\pi\)
−0.776259 + 0.630414i \(0.782885\pi\)
\(542\) −13.9888 + 8.07644i −0.600871 + 0.346913i
\(543\) 18.2521i 0.783271i
\(544\) −4.25457 −0.182413
\(545\) −1.01942 + 19.1699i −0.0436671 + 0.821148i
\(546\) 0.155213 0.268837i 0.00664252 0.0115052i
\(547\) 20.7675 11.9901i 0.887954 0.512660i 0.0146810 0.999892i \(-0.495327\pi\)
0.873273 + 0.487232i \(0.161993\pi\)
\(548\) −7.06060 4.07644i −0.301614 0.174137i
\(549\) 6.18078 10.7054i 0.263789 0.456896i
\(550\) −18.4053 + 8.16069i −0.784803 + 0.347973i
\(551\) 6.99922 3.69725i 0.298177 0.157508i
\(552\) 8.84246i 0.376360i
\(553\) 10.2694 + 5.92903i 0.436698 + 0.252128i
\(554\) −10.8475 + 18.7884i −0.460865 + 0.798242i
\(555\) 0.199696 3.75523i 0.00847661 0.159401i
\(556\) −1.14277 + 1.97934i −0.0484644 + 0.0839429i
\(557\) 21.6447 12.4966i 0.917115 0.529497i 0.0344016 0.999408i \(-0.489047\pi\)
0.882714 + 0.469911i \(0.155714\pi\)
\(558\) 7.88104i 0.333631i
\(559\) −0.828015 −0.0350213
\(560\) 6.24938 + 0.332330i 0.264084 + 0.0140435i
\(561\) −8.56587 14.8365i −0.361651 0.626398i
\(562\) 1.19029i 0.0502092i
\(563\) 23.2863i 0.981403i 0.871328 + 0.490701i \(0.163259\pi\)
−0.871328 + 0.490701i \(0.836741\pi\)
\(564\) 2.40790 + 4.17060i 0.101391 + 0.175614i
\(565\) −1.26390 2.48525i −0.0531725 0.104555i
\(566\) 0.151267 + 0.262002i 0.00635822 + 0.0110128i
\(567\) 2.42379 + 1.39938i 0.101790 + 0.0587683i
\(568\) 10.2308 + 5.90675i 0.429274 + 0.247842i
\(569\) 16.8454 0.706196 0.353098 0.935586i \(-0.385128\pi\)
0.353098 + 0.935586i \(0.385128\pi\)
\(570\) −5.61828 + 7.96461i −0.235324 + 0.333601i
\(571\) −16.1395 −0.675418 −0.337709 0.941250i \(-0.609652\pi\)
−0.337709 + 0.941250i \(0.609652\pi\)
\(572\) −0.386785 0.223311i −0.0161723 0.00933709i
\(573\) −14.9406 8.62594i −0.624151 0.360354i
\(574\) −10.8648 18.8184i −0.453490 0.785467i
\(575\) −4.68898 + 43.9629i −0.195544 + 1.83338i
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) 3.05772i 0.127295i 0.997972 + 0.0636473i \(0.0202733\pi\)
−0.997972 + 0.0636473i \(0.979727\pi\)
\(578\) 1.10139i 0.0458117i
\(579\) 3.15885 + 5.47129i 0.131277 + 0.227379i
\(580\) −0.215634 + 4.05495i −0.00895373 + 0.168373i
\(581\) 23.1119 0.958843
\(582\) 5.22163i 0.216444i
\(583\) 25.9733 14.9957i 1.07571 0.621059i
\(584\) −4.81199 + 8.33460i −0.199121 + 0.344888i
\(585\) −0.247666 0.0131704i −0.0102397 0.000544528i
\(586\) −12.6039 + 21.8306i −0.520662 + 0.901813i
\(587\) −26.8130 15.4805i −1.10669 0.638949i −0.168722 0.985664i \(-0.553964\pi\)
−0.937971 + 0.346714i \(0.887297\pi\)
\(588\) 0.833029i 0.0343535i
\(589\) 1.29196 34.3284i 0.0532343 1.41448i
\(590\) 0.459930 0.707041i 0.0189350 0.0291084i
\(591\) −4.39624 + 7.61451i −0.180837 + 0.313219i
\(592\) 1.45645 + 0.840881i 0.0598597 + 0.0345600i
\(593\) 21.9486 12.6720i 0.901322 0.520379i 0.0236932 0.999719i \(-0.492458\pi\)
0.877629 + 0.479341i \(0.159124\pi\)
\(594\) 2.01333 3.48719i 0.0826080 0.143081i
\(595\) −1.41392 + 26.5884i −0.0579651 + 1.09002i
\(596\) −18.7292 −0.767180
\(597\) 4.77209i 0.195309i
\(598\) −0.849371 + 0.490385i −0.0347334 + 0.0200533i
\(599\) −11.1523 19.3163i −0.455670 0.789243i 0.543057 0.839696i \(-0.317267\pi\)
−0.998726 + 0.0504529i \(0.983934\pi\)
\(600\) −2.02666 4.57085i −0.0827382 0.186604i
\(601\) 27.6758 1.12892 0.564460 0.825460i \(-0.309084\pi\)
0.564460 + 0.825460i \(0.309084\pi\)
\(602\) −18.0942 + 10.4467i −0.737465 + 0.425775i
\(603\) 3.82862 + 2.21046i 0.155914 + 0.0900167i
\(604\) −8.06970 13.9771i −0.328351 0.568721i
\(605\) 10.3922 5.28505i 0.422504 0.214868i
\(606\) −5.86577 + 10.1598i −0.238281 + 0.412714i
\(607\) 16.7201i 0.678650i 0.940669 + 0.339325i \(0.110199\pi\)
−0.940669 + 0.339325i \(0.889801\pi\)
\(608\) −2.03594 3.85421i −0.0825682 0.156309i
\(609\) 5.08252 0.205954
\(610\) 12.5300 + 24.6382i 0.507323 + 0.997572i
\(611\) −0.267074 + 0.462586i −0.0108047 + 0.0187142i
\(612\) 3.68457 2.12729i 0.148940 0.0859904i
\(613\) 25.3849 + 14.6560i 1.02529 + 0.591950i 0.915631 0.402020i \(-0.131692\pi\)
0.109656 + 0.993970i \(0.465025\pi\)
\(614\) −11.3911 19.7299i −0.459707 0.796235i
\(615\) −9.46663 + 14.5528i −0.381731 + 0.586827i
\(616\) −11.2696 −0.454067
\(617\) −32.4820 + 18.7535i −1.30767 + 0.754986i −0.981708 0.190395i \(-0.939023\pi\)
−0.325967 + 0.945381i \(0.605690\pi\)
\(618\) 15.5448 8.97482i 0.625305 0.361020i
\(619\) −39.0394 −1.56912 −0.784562 0.620050i \(-0.787112\pi\)
−0.784562 + 0.620050i \(0.787112\pi\)
\(620\) 14.7721 + 9.60928i 0.593263 + 0.385918i
\(621\) −4.42123 7.65779i −0.177418 0.307297i
\(622\) 10.4575 + 6.03762i 0.419306 + 0.242087i
\(623\) 24.3107 14.0358i 0.973987 0.562331i
\(624\) 0.0554580 0.0960560i 0.00222010 0.00384532i
\(625\) −7.65234 23.8000i −0.306093 0.952001i
\(626\) 10.6499 0.425655
\(627\) 9.34137 14.8595i 0.373058 0.593432i
\(628\) 7.77836i 0.310390i
\(629\) −3.57759 + 6.19657i −0.142648 + 0.247073i
\(630\) −5.57828 + 2.83688i −0.222244 + 0.113024i
\(631\) 13.0406 + 22.5870i 0.519139 + 0.899174i 0.999753 + 0.0222421i \(0.00708045\pi\)
−0.480614 + 0.876932i \(0.659586\pi\)
\(632\) 3.66927 + 2.11845i 0.145956 + 0.0842675i
\(633\) −18.5047 + 10.6837i −0.735497 + 0.424640i
\(634\) −16.5300 −0.656489
\(635\) 16.7743 25.7868i 0.665668 1.02332i
\(636\) 3.72410 + 6.45034i 0.147670 + 0.255772i
\(637\) 0.0800175 0.0461981i 0.00317041 0.00183044i
\(638\) 7.31239i 0.289500i
\(639\) −11.8135 −0.467335
\(640\) 2.23291 + 0.118742i 0.0882636 + 0.00469369i
\(641\) 1.56243 2.70621i 0.0617122 0.106889i −0.833519 0.552491i \(-0.813677\pi\)
0.895231 + 0.445603i \(0.147011\pi\)
\(642\) 13.1080 7.56792i 0.517333 0.298682i
\(643\) 17.9701 + 10.3750i 0.708671 + 0.409151i 0.810569 0.585644i \(-0.199158\pi\)
−0.101898 + 0.994795i \(0.532491\pi\)
\(644\) −12.3739 + 21.4323i −0.487601 + 0.844550i
\(645\) 13.9928 + 9.10230i 0.550965 + 0.358403i
\(646\) 16.3980 8.66205i 0.645172 0.340804i
\(647\) 16.4405i 0.646344i −0.946340 0.323172i \(-0.895251\pi\)
0.946340 0.323172i \(-0.104749\pi\)
\(648\) 0.866025 + 0.500000i 0.0340207 + 0.0196419i
\(649\) −0.759452 + 1.31541i −0.0298111 + 0.0516343i
\(650\) 0.326663 0.448163i 0.0128128 0.0175784i
\(651\) 11.0286 19.1020i 0.432243 0.748667i
\(652\) −1.73052 + 0.999118i −0.0677725 + 0.0391285i
\(653\) 6.77814i 0.265249i −0.991166 0.132625i \(-0.957660\pi\)
0.991166 0.132625i \(-0.0423405\pi\)
\(654\) 8.58516 0.335706
\(655\) 1.52669 28.7090i 0.0596526 1.12175i
\(656\) −3.88203 6.72386i −0.151568 0.262523i
\(657\) 9.62397i 0.375467i
\(658\) 13.4782i 0.525436i
\(659\) 12.0863 + 20.9341i 0.470817 + 0.815478i 0.999443 0.0333765i \(-0.0106260\pi\)
−0.528626 + 0.848855i \(0.677293\pi\)
\(660\) 4.08152 + 8.02567i 0.158873 + 0.312399i
\(661\) −13.5085 23.3974i −0.525420 0.910055i −0.999562 0.0296059i \(-0.990575\pi\)
0.474141 0.880449i \(-0.342759\pi\)
\(662\) −28.9121 16.6924i −1.12370 0.648768i
\(663\) 0.408677 + 0.235950i 0.0158717 + 0.00916354i
\(664\) 8.25792 0.320470
\(665\) −24.7630 + 11.4425i −0.960269 + 0.443720i
\(666\) −1.68176 −0.0651670
\(667\) −13.9065 8.02892i −0.538461 0.310881i
\(668\) −15.5791 8.99462i −0.602775 0.348012i
\(669\) −0.444327 0.769596i −0.0171787 0.0297543i
\(670\) −8.81145 + 4.48114i −0.340416 + 0.173121i
\(671\) −24.8879 43.1071i −0.960788 1.66413i
\(672\) 2.79875i 0.107964i
\(673\) 21.9407i 0.845751i −0.906188 0.422875i \(-0.861021\pi\)
0.906188 0.422875i \(-0.138979\pi\)
\(674\) −11.0893 19.2072i −0.427144 0.739834i
\(675\) 4.04057 + 2.94514i 0.155521 + 0.113358i
\(676\) −12.9877 −0.499527
\(677\) 18.8185i 0.723254i 0.932323 + 0.361627i \(0.117779\pi\)
−0.932323 + 0.361627i \(0.882221\pi\)
\(678\) −1.07986 + 0.623455i −0.0414716 + 0.0239436i
\(679\) 7.30703 12.6562i 0.280418 0.485699i
\(680\) −0.505196 + 9.50009i −0.0193734 + 0.364312i
\(681\) −0.113839 + 0.197176i −0.00436234 + 0.00755579i
\(682\) −27.4827 15.8672i −1.05237 0.607585i
\(683\) 19.3651i 0.740986i 0.928835 + 0.370493i \(0.120811\pi\)
−0.928835 + 0.370493i \(0.879189\pi\)
\(684\) 3.69028 + 2.31988i 0.141101 + 0.0887027i
\(685\) −9.94073 + 15.2817i −0.379816 + 0.583882i
\(686\) −8.62992 + 14.9475i −0.329492 + 0.570697i
\(687\) −14.0630 8.11926i −0.536536 0.309769i
\(688\) −6.46509 + 3.73262i −0.246479 + 0.142305i
\(689\) −0.413062 + 0.715445i −0.0157364 + 0.0272563i
\(690\) 19.7444 + 1.04997i 0.751658 + 0.0399717i
\(691\) 0.642365 0.0244367 0.0122184 0.999925i \(-0.496111\pi\)
0.0122184 + 0.999925i \(0.496111\pi\)
\(692\) 15.3174i 0.582281i
\(693\) 9.75980 5.63482i 0.370744 0.214049i
\(694\) 9.08564 + 15.7368i 0.344886 + 0.597360i
\(695\) 4.28401 + 2.78675i 0.162502 + 0.105707i
\(696\) 1.81599 0.0688350
\(697\) 28.6072 16.5164i 1.08357 0.625602i
\(698\) 4.80634 + 2.77494i 0.181923 + 0.105033i
\(699\) 1.66979 + 2.89217i 0.0631574 + 0.109392i
\(700\) 1.48413 13.9149i 0.0560947 0.525932i
\(701\) −22.4846 + 38.9445i −0.849233 + 1.47091i 0.0326612 + 0.999466i \(0.489602\pi\)
−0.881894 + 0.471448i \(0.843732\pi\)
\(702\) 0.110916i 0.00418625i
\(703\) −7.32544 0.275695i −0.276284 0.0103981i
\(704\) −4.02666 −0.151761
\(705\) 9.59850 4.88140i 0.361500 0.183844i
\(706\) 5.99991 10.3922i 0.225810 0.391114i
\(707\) −28.4348 + 16.4169i −1.06940 + 0.617419i
\(708\) −0.326675 0.188606i −0.0122772 0.00708824i
\(709\) 4.09461 + 7.09207i 0.153776 + 0.266348i 0.932613 0.360879i \(-0.117523\pi\)
−0.778836 + 0.627227i \(0.784190\pi\)
\(710\) 14.4041 22.1431i 0.540575 0.831015i
\(711\) −4.23690 −0.158896
\(712\) 8.68625 5.01501i 0.325531 0.187945i
\(713\) −60.3514 + 34.8439i −2.26018 + 1.30491i
\(714\) 11.9075 0.445627
\(715\) −0.544561 + 0.837142i −0.0203654 + 0.0313073i
\(716\) 5.44789 + 9.43602i 0.203597 + 0.352641i
\(717\) 24.5444 + 14.1707i 0.916626 + 0.529214i
\(718\) −27.4515 + 15.8492i −1.02448 + 0.591485i
\(719\) 25.2772 43.7813i 0.942679 1.63277i 0.182345 0.983235i \(-0.441631\pi\)
0.760334 0.649533i \(-0.225035\pi\)
\(720\) −1.99313 + 1.01362i −0.0742796 + 0.0377755i
\(721\) 50.2367 1.87091
\(722\) 15.6939 + 10.7099i 0.584066 + 0.398582i
\(723\) 14.2591i 0.530302i
\(724\) 9.12604 15.8068i 0.339167 0.587454i
\(725\) 9.02875 + 0.962986i 0.335319 + 0.0357644i
\(726\) −2.60701 4.51547i −0.0967552 0.167585i
\(727\) −2.96717 1.71310i −0.110046 0.0635353i 0.443967 0.896043i \(-0.353571\pi\)
−0.554013 + 0.832508i \(0.686904\pi\)
\(728\) 0.268837 0.155213i 0.00996377 0.00575259i
\(729\) −1.00000 −0.0370370
\(730\) 18.0391 + 11.7344i 0.667656 + 0.434310i
\(731\) −15.8807 27.5062i −0.587369 1.01735i
\(732\) 10.7054 6.18078i 0.395684 0.228448i
\(733\) 0.420632i 0.0155364i −0.999970 0.00776819i \(-0.997527\pi\)
0.999970 0.00776819i \(-0.00247272\pi\)
\(734\) −3.62820 −0.133919
\(735\) −1.86008 0.0989155i −0.0686101 0.00364855i
\(736\) −4.42123 + 7.65779i −0.162969 + 0.282270i
\(737\) 15.4166 8.90076i 0.567877 0.327864i
\(738\) 6.72386 + 3.88203i 0.247509 + 0.142899i
\(739\) 6.70752 11.6178i 0.246740 0.427366i −0.715879 0.698224i \(-0.753974\pi\)
0.962619 + 0.270858i \(0.0873073\pi\)
\(740\) 2.05056 3.15228i 0.0753799 0.115880i
\(741\) −0.0181827 + 0.483129i −0.000667959 + 0.0177482i
\(742\) 20.8457i 0.765270i
\(743\) −29.4635 17.0108i −1.08091 0.624064i −0.149769 0.988721i \(-0.547853\pi\)
−0.931142 + 0.364657i \(0.881186\pi\)
\(744\) 3.94052 6.82518i 0.144467 0.250223i
\(745\) −2.22395 + 41.8208i −0.0814791 + 1.53219i
\(746\) −3.87450 + 6.71084i −0.141856 + 0.245701i
\(747\) −7.15157 + 4.12896i −0.261662 + 0.151071i
\(748\) 17.1317i 0.626398i
\(749\) 42.3615 1.54786
\(750\) −10.4470 + 3.98261i −0.381469 + 0.145424i
\(751\) −11.0748 19.1820i −0.404123 0.699962i 0.590096 0.807333i \(-0.299090\pi\)
−0.994219 + 0.107371i \(0.965757\pi\)
\(752\) 4.81579i 0.175614i
\(753\) 24.2873i 0.885079i
\(754\) 0.100711 + 0.174437i 0.00366769 + 0.00635262i
\(755\) −32.1679 + 16.3593i −1.17071 + 0.595374i
\(756\) 1.39938 + 2.42379i 0.0508949 + 0.0881525i
\(757\) 5.58767 + 3.22604i 0.203087 + 0.117252i 0.598095 0.801425i \(-0.295925\pi\)
−0.395008 + 0.918678i \(0.629258\pi\)
\(758\) −5.78694 3.34109i −0.210191 0.121354i
\(759\) −35.6056 −1.29240
\(760\) −8.84787 + 4.08842i −0.320946 + 0.148302i
\(761\) 25.4438 0.922338 0.461169 0.887312i \(-0.347430\pi\)
0.461169 + 0.887312i \(0.347430\pi\)
\(762\) −11.9143 6.87872i −0.431609 0.249190i
\(763\) 20.8086 + 12.0139i 0.753323 + 0.434931i
\(764\) −8.62594 14.9406i −0.312075 0.540531i
\(765\) −4.31253 8.47992i −0.155920 0.306592i
\(766\) −10.1067 17.5053i −0.365170 0.632492i
\(767\) 0.0418388i 0.00151071i
\(768\) 1.00000i 0.0360844i
\(769\) 22.8321 + 39.5464i 0.823348 + 1.42608i 0.903175 + 0.429272i \(0.141230\pi\)
−0.0798275 + 0.996809i \(0.525437\pi\)
\(770\) −1.33818 + 25.1641i −0.0482246 + 0.906853i
\(771\) 2.38173 0.0857758
\(772\) 6.31770i 0.227379i
\(773\) 23.3288 13.4689i 0.839080 0.484443i −0.0178717 0.999840i \(-0.505689\pi\)
0.856951 + 0.515397i \(0.172356\pi\)
\(774\) 3.73262 6.46509i 0.134166 0.232383i
\(775\) 23.2108 31.8439i 0.833755