Properties

Label 1110.2.ba.b.529.16
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.16
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.b.619.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.64331 - 1.51642i) q^{5} +1.00000i q^{6} +(0.916644 + 0.529225i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.64331 - 1.51642i) q^{5} +1.00000i q^{6} +(0.916644 + 0.529225i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(2.13491 + 0.664945i) q^{10} -0.825600 q^{11} +(-0.866025 + 0.500000i) q^{12} +(-1.81865 + 3.14999i) q^{13} +1.05845i q^{14} +(2.18136 - 0.491597i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.742138 + 1.28542i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(4.75785 + 2.74695i) q^{19} +(0.491597 + 2.18136i) q^{20} +(0.529225 + 0.916644i) q^{21} +(-0.412800 - 0.714991i) q^{22} +2.23982 q^{23} +(-0.866025 - 0.500000i) q^{24} +(0.400968 - 4.98390i) q^{25} -3.63729 q^{26} +1.00000i q^{27} +(-0.916644 + 0.529225i) q^{28} +2.02537i q^{29} +(1.51642 + 1.64331i) q^{30} +6.27676i q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.714991 - 0.412800i) q^{33} +(-0.742138 + 1.28542i) q^{34} +(2.30886 - 0.520331i) q^{35} -1.00000 q^{36} +(5.95462 + 1.24197i) q^{37} +5.49389i q^{38} +(-3.14999 + 1.81865i) q^{39} +(-1.64331 + 1.51642i) q^{40} +(-1.42858 + 2.47438i) q^{41} +(-0.529225 + 0.916644i) q^{42} +10.6694 q^{43} +(0.412800 - 0.714991i) q^{44} +(2.13491 + 0.664945i) q^{45} +(1.11991 + 1.93975i) q^{46} -11.7632i q^{47} -1.00000i q^{48} +(-2.93984 - 5.09196i) q^{49} +(4.51666 - 2.14470i) q^{50} +1.48428i q^{51} +(-1.81865 - 3.14999i) q^{52} +(8.00978 - 4.62445i) q^{53} +(-0.866025 + 0.500000i) q^{54} +(-1.35672 + 1.25195i) q^{55} +(-0.916644 - 0.529225i) q^{56} +(2.74695 + 4.75785i) q^{57} +(-1.75402 + 1.01268i) q^{58} +(-6.33426 + 3.65709i) q^{59} +(-0.664945 + 2.13491i) q^{60} +(-5.60990 - 3.23888i) q^{61} +(-5.43583 + 3.13838i) q^{62} +1.05845i q^{63} +1.00000 q^{64} +(1.78808 + 7.93425i) q^{65} -0.825600i q^{66} +(-11.2463 - 6.49307i) q^{67} -1.48428 q^{68} +(1.93975 + 1.11991i) q^{69} +(1.60505 + 1.73937i) q^{70} +(-0.701131 + 1.21439i) q^{71} +(-0.500000 - 0.866025i) q^{72} +8.82512i q^{73} +(1.90173 + 5.77784i) q^{74} +(2.83920 - 4.11570i) q^{75} +(-4.75785 + 2.74695i) q^{76} +(-0.756782 - 0.436928i) q^{77} +(-3.14999 - 1.81865i) q^{78} +(-3.10453 - 1.79240i) q^{79} +(-2.13491 - 0.664945i) q^{80} +(-0.500000 + 0.866025i) q^{81} -2.85716 q^{82} +(13.4101 - 7.74230i) q^{83} -1.05845 q^{84} +(3.16880 + 0.986962i) q^{85} +(5.33471 + 9.23999i) q^{86} +(-1.01268 + 1.75402i) q^{87} +0.825600 q^{88} +(-2.86558 + 1.65444i) q^{89} +(0.491597 + 2.18136i) q^{90} +(-3.33410 + 1.92495i) q^{91} +(-1.11991 + 1.93975i) q^{92} +(-3.13838 + 5.43583i) q^{93} +(10.1872 - 5.88160i) q^{94} +(11.9842 - 2.70078i) q^{95} +(0.866025 - 0.500000i) q^{96} -5.18358 q^{97} +(2.93984 - 5.09196i) q^{98} +(-0.412800 - 0.714991i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} + 4q^{5} - 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} + 14q^{13} + 2q^{15} - 18q^{16} - 18q^{18} + 6q^{19} - 2q^{20} + 2q^{22} + 20q^{23} - 2q^{25} + 28q^{26} - 2q^{30} + 18q^{32} + 6q^{33} - 20q^{35} - 36q^{36} - 20q^{37} + 6q^{39} - 4q^{40} + 10q^{41} - 2q^{44} + 2q^{45} + 10q^{46} + 10q^{49} - 4q^{50} + 14q^{52} + 12q^{53} + 40q^{55} - 8q^{57} - 30q^{58} + 18q^{59} - 4q^{60} - 6q^{61} + 12q^{62} + 36q^{64} - 32q^{65} - 36q^{67} + 12q^{69} - 40q^{70} - 24q^{71} - 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} + 24q^{77} + 6q^{78} - 2q^{80} - 18q^{81} + 20q^{82} - 36q^{83} + 26q^{85} + 10q^{87} - 4q^{88} - 2q^{90} - 36q^{91} - 10q^{92} - 12q^{93} + 12q^{94} + 18q^{95} - 52q^{97} - 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 1.64331 1.51642i 0.734913 0.678162i
\(6\) 1.00000i 0.408248i
\(7\) 0.916644 + 0.529225i 0.346459 + 0.200028i 0.663125 0.748509i \(-0.269230\pi\)
−0.316666 + 0.948537i \(0.602563\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 2.13491 + 0.664945i 0.675118 + 0.210274i
\(11\) −0.825600 −0.248928 −0.124464 0.992224i \(-0.539721\pi\)
−0.124464 + 0.992224i \(0.539721\pi\)
\(12\) −0.866025 + 0.500000i −0.250000 + 0.144338i
\(13\) −1.81865 + 3.14999i −0.504402 + 0.873649i 0.495585 + 0.868559i \(0.334954\pi\)
−0.999987 + 0.00509014i \(0.998380\pi\)
\(14\) 1.05845i 0.282883i
\(15\) 2.18136 0.491597i 0.563225 0.126930i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 0.742138 + 1.28542i 0.179995 + 0.311760i 0.941879 0.335954i \(-0.109059\pi\)
−0.761884 + 0.647714i \(0.775725\pi\)
\(18\) −0.500000 + 0.866025i −0.117851 + 0.204124i
\(19\) 4.75785 + 2.74695i 1.09153 + 0.630193i 0.933982 0.357319i \(-0.116309\pi\)
0.157543 + 0.987512i \(0.449643\pi\)
\(20\) 0.491597 + 2.18136i 0.109924 + 0.487767i
\(21\) 0.529225 + 0.916644i 0.115486 + 0.200028i
\(22\) −0.412800 0.714991i −0.0880093 0.152437i
\(23\) 2.23982 0.467036 0.233518 0.972353i \(-0.424976\pi\)
0.233518 + 0.972353i \(0.424976\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) 0.400968 4.98390i 0.0801936 0.996779i
\(26\) −3.63729 −0.713332
\(27\) 1.00000i 0.192450i
\(28\) −0.916644 + 0.529225i −0.173229 + 0.100014i
\(29\) 2.02537i 0.376101i 0.982159 + 0.188050i \(0.0602168\pi\)
−0.982159 + 0.188050i \(0.939783\pi\)
\(30\) 1.51642 + 1.64331i 0.276858 + 0.300027i
\(31\) 6.27676i 1.12734i 0.826000 + 0.563669i \(0.190611\pi\)
−0.826000 + 0.563669i \(0.809389\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −0.714991 0.412800i −0.124464 0.0718593i
\(34\) −0.742138 + 1.28542i −0.127276 + 0.220448i
\(35\) 2.30886 0.520331i 0.390269 0.0879519i
\(36\) −1.00000 −0.166667
\(37\) 5.95462 + 1.24197i 0.978934 + 0.204179i
\(38\) 5.49389i 0.891227i
\(39\) −3.14999 + 1.81865i −0.504402 + 0.291216i
\(40\) −1.64331 + 1.51642i −0.259831 + 0.239766i
\(41\) −1.42858 + 2.47438i −0.223107 + 0.386433i −0.955750 0.294181i \(-0.904953\pi\)
0.732643 + 0.680613i \(0.238287\pi\)
\(42\) −0.529225 + 0.916644i −0.0816612 + 0.141441i
\(43\) 10.6694 1.62707 0.813536 0.581515i \(-0.197540\pi\)
0.813536 + 0.581515i \(0.197540\pi\)
\(44\) 0.412800 0.714991i 0.0622319 0.107789i
\(45\) 2.13491 + 0.664945i 0.318254 + 0.0991241i
\(46\) 1.11991 + 1.93975i 0.165122 + 0.286000i
\(47\) 11.7632i 1.71584i −0.513783 0.857920i \(-0.671756\pi\)
0.513783 0.857920i \(-0.328244\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −2.93984 5.09196i −0.419977 0.727422i
\(50\) 4.51666 2.14470i 0.638753 0.303306i
\(51\) 1.48428i 0.207840i
\(52\) −1.81865 3.14999i −0.252201 0.436825i
\(53\) 8.00978 4.62445i 1.10023 0.635217i 0.163947 0.986469i \(-0.447577\pi\)
0.936281 + 0.351252i \(0.114244\pi\)
\(54\) −0.866025 + 0.500000i −0.117851 + 0.0680414i
\(55\) −1.35672 + 1.25195i −0.182940 + 0.168813i
\(56\) −0.916644 0.529225i −0.122492 0.0707206i
\(57\) 2.74695 + 4.75785i 0.363842 + 0.630193i
\(58\) −1.75402 + 1.01268i −0.230314 + 0.132972i
\(59\) −6.33426 + 3.65709i −0.824651 + 0.476112i −0.852018 0.523513i \(-0.824621\pi\)
0.0273670 + 0.999625i \(0.491288\pi\)
\(60\) −0.664945 + 2.13491i −0.0858440 + 0.275616i
\(61\) −5.60990 3.23888i −0.718274 0.414696i 0.0958432 0.995396i \(-0.469445\pi\)
−0.814117 + 0.580701i \(0.802779\pi\)
\(62\) −5.43583 + 3.13838i −0.690351 + 0.398574i
\(63\) 1.05845i 0.133352i
\(64\) 1.00000 0.125000
\(65\) 1.78808 + 7.93425i 0.221784 + 0.984122i
\(66\) 0.825600i 0.101624i
\(67\) −11.2463 6.49307i −1.37396 0.793255i −0.382535 0.923941i \(-0.624949\pi\)
−0.991424 + 0.130686i \(0.958282\pi\)
\(68\) −1.48428 −0.179995
\(69\) 1.93975 + 1.11991i 0.233518 + 0.134822i
\(70\) 1.60505 + 1.73937i 0.191840 + 0.207894i
\(71\) −0.701131 + 1.21439i −0.0832089 + 0.144122i −0.904627 0.426205i \(-0.859850\pi\)
0.821418 + 0.570327i \(0.193184\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 8.82512i 1.03290i 0.856317 + 0.516451i \(0.172747\pi\)
−0.856317 + 0.516451i \(0.827253\pi\)
\(74\) 1.90173 + 5.77784i 0.221072 + 0.671660i
\(75\) 2.83920 4.11570i 0.327842 0.475240i
\(76\) −4.75785 + 2.74695i −0.545763 + 0.315096i
\(77\) −0.756782 0.436928i −0.0862433 0.0497926i
\(78\) −3.14999 1.81865i −0.356666 0.205921i
\(79\) −3.10453 1.79240i −0.349287 0.201661i 0.315084 0.949064i \(-0.397967\pi\)
−0.664371 + 0.747403i \(0.731300\pi\)
\(80\) −2.13491 0.664945i −0.238690 0.0743431i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −2.85716 −0.315521
\(83\) 13.4101 7.74230i 1.47195 0.849828i 0.472443 0.881361i \(-0.343372\pi\)
0.999503 + 0.0315331i \(0.0100390\pi\)
\(84\) −1.05845 −0.115486
\(85\) 3.16880 + 0.986962i 0.343705 + 0.107051i
\(86\) 5.33471 + 9.23999i 0.575257 + 0.996374i
\(87\) −1.01268 + 1.75402i −0.108571 + 0.188050i
\(88\) 0.825600 0.0880093
\(89\) −2.86558 + 1.65444i −0.303751 + 0.175371i −0.644127 0.764919i \(-0.722779\pi\)
0.340376 + 0.940289i \(0.389446\pi\)
\(90\) 0.491597 + 2.18136i 0.0518189 + 0.229936i
\(91\) −3.33410 + 1.92495i −0.349509 + 0.201789i
\(92\) −1.11991 + 1.93975i −0.116759 + 0.202232i
\(93\) −3.13838 + 5.43583i −0.325435 + 0.563669i
\(94\) 10.1872 5.88160i 1.05073 0.606641i
\(95\) 11.9842 2.70078i 1.22955 0.277094i
\(96\) 0.866025 0.500000i 0.0883883 0.0510310i
\(97\) −5.18358 −0.526313 −0.263157 0.964753i \(-0.584764\pi\)
−0.263157 + 0.964753i \(0.584764\pi\)
\(98\) 2.93984 5.09196i 0.296969 0.514365i
\(99\) −0.412800 0.714991i −0.0414880 0.0718593i
\(100\) 4.11570 + 2.83920i 0.411570 + 0.283920i
\(101\) −10.5205 −1.04682 −0.523412 0.852080i \(-0.675341\pi\)
−0.523412 + 0.852080i \(0.675341\pi\)
\(102\) −1.28542 + 0.742138i −0.127276 + 0.0734826i
\(103\) −16.1758 −1.59385 −0.796923 0.604081i \(-0.793540\pi\)
−0.796923 + 0.604081i \(0.793540\pi\)
\(104\) 1.81865 3.14999i 0.178333 0.308882i
\(105\) 2.25970 + 0.703810i 0.220524 + 0.0686849i
\(106\) 8.00978 + 4.62445i 0.777979 + 0.449166i
\(107\) −12.2112 7.05015i −1.18050 0.681563i −0.224372 0.974504i \(-0.572033\pi\)
−0.956131 + 0.292940i \(0.905366\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) −4.54656 + 2.62496i −0.435481 + 0.251425i −0.701679 0.712493i \(-0.747566\pi\)
0.266198 + 0.963918i \(0.414233\pi\)
\(110\) −1.76258 0.548978i −0.168056 0.0523430i
\(111\) 4.53587 + 4.05289i 0.430525 + 0.384683i
\(112\) 1.05845i 0.100014i
\(113\) 1.67721 + 2.90502i 0.157779 + 0.273281i 0.934067 0.357097i \(-0.116233\pi\)
−0.776288 + 0.630378i \(0.782900\pi\)
\(114\) −2.74695 + 4.75785i −0.257275 + 0.445613i
\(115\) 3.68074 3.39651i 0.343231 0.316726i
\(116\) −1.75402 1.01268i −0.162856 0.0940252i
\(117\) −3.63729 −0.336268
\(118\) −6.33426 3.65709i −0.583116 0.336662i
\(119\) 1.57103i 0.144016i
\(120\) −2.18136 + 0.491597i −0.199130 + 0.0448765i
\(121\) −10.3184 −0.938035
\(122\) 6.47775i 0.586468i
\(123\) −2.47438 + 1.42858i −0.223107 + 0.128811i
\(124\) −5.43583 3.13838i −0.488152 0.281835i
\(125\) −6.89874 8.79815i −0.617042 0.786930i
\(126\) −0.916644 + 0.529225i −0.0816612 + 0.0471471i
\(127\) 5.43873 3.14005i 0.482609 0.278634i −0.238894 0.971046i \(-0.576785\pi\)
0.721503 + 0.692411i \(0.243452\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 9.23999 + 5.33471i 0.813536 + 0.469695i
\(130\) −5.97722 + 5.51565i −0.524237 + 0.483754i
\(131\) 11.2829 6.51420i 0.985794 0.569148i 0.0817796 0.996650i \(-0.473940\pi\)
0.904014 + 0.427502i \(0.140606\pi\)
\(132\) 0.714991 0.412800i 0.0622319 0.0359296i
\(133\) 2.90750 + 5.03594i 0.252113 + 0.436672i
\(134\) 12.9861i 1.12183i
\(135\) 1.51642 + 1.64331i 0.130512 + 0.141434i
\(136\) −0.742138 1.28542i −0.0636378 0.110224i
\(137\) 7.15737i 0.611496i −0.952113 0.305748i \(-0.901094\pi\)
0.952113 0.305748i \(-0.0989064\pi\)
\(138\) 2.23982i 0.190667i
\(139\) −5.76530 9.98579i −0.489006 0.846983i 0.510914 0.859632i \(-0.329307\pi\)
−0.999920 + 0.0126486i \(0.995974\pi\)
\(140\) −0.703810 + 2.25970i −0.0594828 + 0.190979i
\(141\) 5.88160 10.1872i 0.495320 0.857920i
\(142\) −1.40226 −0.117675
\(143\) 1.50147 2.60063i 0.125560 0.217476i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 3.07130 + 3.32831i 0.255057 + 0.276401i
\(146\) −7.64277 + 4.41256i −0.632520 + 0.365186i
\(147\) 5.87968i 0.484948i
\(148\) −4.05289 + 4.53587i −0.333145 + 0.372846i
\(149\) −3.03860 −0.248932 −0.124466 0.992224i \(-0.539722\pi\)
−0.124466 + 0.992224i \(0.539722\pi\)
\(150\) 4.98390 + 0.400968i 0.406933 + 0.0327389i
\(151\) −4.20011 + 7.27481i −0.341800 + 0.592015i −0.984767 0.173879i \(-0.944370\pi\)
0.642967 + 0.765894i \(0.277703\pi\)
\(152\) −4.75785 2.74695i −0.385913 0.222807i
\(153\) −0.742138 + 1.28542i −0.0599983 + 0.103920i
\(154\) 0.873856i 0.0704173i
\(155\) 9.51817 + 10.3147i 0.764518 + 0.828496i
\(156\) 3.63729i 0.291216i
\(157\) −12.7985 + 7.38920i −1.02143 + 0.589722i −0.914517 0.404546i \(-0.867429\pi\)
−0.106911 + 0.994269i \(0.534096\pi\)
\(158\) 3.58480i 0.285191i
\(159\) 9.24890 0.733485
\(160\) −0.491597 2.18136i −0.0388641 0.172452i
\(161\) 2.05312 + 1.18537i 0.161809 + 0.0934203i
\(162\) −1.00000 −0.0785674
\(163\) −1.76345 3.05439i −0.138124 0.239238i 0.788662 0.614827i \(-0.210774\pi\)
−0.926787 + 0.375588i \(0.877441\pi\)
\(164\) −1.42858 2.47438i −0.111554 0.193216i
\(165\) −1.80093 + 0.405862i −0.140202 + 0.0315963i
\(166\) 13.4101 + 7.74230i 1.04082 + 0.600919i
\(167\) 10.7385 18.5996i 0.830969 1.43928i −0.0663009 0.997800i \(-0.521120\pi\)
0.897270 0.441482i \(-0.145547\pi\)
\(168\) −0.529225 0.916644i −0.0408306 0.0707206i
\(169\) −0.114948 0.199096i −0.00884218 0.0153151i
\(170\) 0.729666 + 3.23774i 0.0559628 + 0.248323i
\(171\) 5.49389i 0.420128i
\(172\) −5.33471 + 9.23999i −0.406768 + 0.704543i
\(173\) 2.69931 1.55845i 0.205225 0.118487i −0.393865 0.919168i \(-0.628862\pi\)
0.599090 + 0.800681i \(0.295529\pi\)
\(174\) −2.02537 −0.153543
\(175\) 3.00515 4.35626i 0.227168 0.329302i
\(176\) 0.412800 + 0.714991i 0.0311160 + 0.0538944i
\(177\) −7.31417 −0.549767
\(178\) −2.86558 1.65444i −0.214784 0.124006i
\(179\) 10.0254i 0.749333i 0.927160 + 0.374666i \(0.122243\pi\)
−0.927160 + 0.374666i \(0.877757\pi\)
\(180\) −1.64331 + 1.51642i −0.122485 + 0.113027i
\(181\) 0.887705 1.53755i 0.0659826 0.114285i −0.831147 0.556053i \(-0.812315\pi\)
0.897129 + 0.441768i \(0.145648\pi\)
\(182\) −3.33410 1.92495i −0.247140 0.142686i
\(183\) −3.23888 5.60990i −0.239425 0.414696i
\(184\) −2.23982 −0.165122
\(185\) 11.6687 6.98873i 0.857897 0.513822i
\(186\) −6.27676 −0.460234
\(187\) −0.612709 1.06124i −0.0448058 0.0776058i
\(188\) 10.1872 + 5.88160i 0.742981 + 0.428960i
\(189\) −0.529225 + 0.916644i −0.0384954 + 0.0666761i
\(190\) 8.33102 + 9.02819i 0.604396 + 0.654974i
\(191\) 19.2656i 1.39401i −0.717066 0.697006i \(-0.754515\pi\)
0.717066 0.697006i \(-0.245485\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) 18.5203 1.33312 0.666561 0.745451i \(-0.267766\pi\)
0.666561 + 0.745451i \(0.267766\pi\)
\(194\) −2.59179 4.48912i −0.186080 0.322300i
\(195\) −2.41860 + 7.76530i −0.173199 + 0.556085i
\(196\) 5.87968 0.419977
\(197\) 4.21694 2.43465i 0.300444 0.173462i −0.342198 0.939628i \(-0.611171\pi\)
0.642642 + 0.766166i \(0.277838\pi\)
\(198\) 0.412800 0.714991i 0.0293364 0.0508122i
\(199\) 17.8813i 1.26757i −0.773509 0.633785i \(-0.781500\pi\)
0.773509 0.633785i \(-0.218500\pi\)
\(200\) −0.400968 + 4.98390i −0.0283527 + 0.352415i
\(201\) −6.49307 11.2463i −0.457986 0.793255i
\(202\) −5.26023 9.11098i −0.370108 0.641046i
\(203\) −1.07187 + 1.85654i −0.0752308 + 0.130304i
\(204\) −1.28542 0.742138i −0.0899975 0.0519601i
\(205\) 1.40457 + 6.23251i 0.0980997 + 0.435297i
\(206\) −8.08789 14.0086i −0.563510 0.976028i
\(207\) 1.11991 + 1.93975i 0.0778393 + 0.134822i
\(208\) 3.63729 0.252201
\(209\) −3.92808 2.26788i −0.271711 0.156872i
\(210\) 0.520331 + 2.30886i 0.0359062 + 0.159326i
\(211\) −0.395745 −0.0272442 −0.0136221 0.999907i \(-0.504336\pi\)
−0.0136221 + 0.999907i \(0.504336\pi\)
\(212\) 9.24890i 0.635217i
\(213\) −1.21439 + 0.701131i −0.0832089 + 0.0480407i
\(214\) 14.1003i 0.963876i
\(215\) 17.5332 16.1793i 1.19576 1.10342i
\(216\) 1.00000i 0.0680414i
\(217\) −3.32182 + 5.75355i −0.225500 + 0.390577i
\(218\) −4.54656 2.62496i −0.307932 0.177785i
\(219\) −4.41256 + 7.64277i −0.298173 + 0.516451i
\(220\) −0.405862 1.80093i −0.0273632 0.121419i
\(221\) −5.39875 −0.363159
\(222\) −1.24197 + 5.95462i −0.0833557 + 0.399648i
\(223\) 25.5883i 1.71352i 0.515713 + 0.856761i \(0.327527\pi\)
−0.515713 + 0.856761i \(0.672473\pi\)
\(224\) 0.916644 0.529225i 0.0612459 0.0353603i
\(225\) 4.51666 2.14470i 0.301111 0.142980i
\(226\) −1.67721 + 2.90502i −0.111567 + 0.193239i
\(227\) 11.6633 20.2013i 0.774117 1.34081i −0.161172 0.986926i \(-0.551527\pi\)
0.935289 0.353884i \(-0.115139\pi\)
\(228\) −5.49389 −0.363842
\(229\) −11.6531 + 20.1837i −0.770055 + 1.33377i 0.167477 + 0.985876i \(0.446438\pi\)
−0.937532 + 0.347899i \(0.886895\pi\)
\(230\) 4.78183 + 1.48936i 0.315304 + 0.0982055i
\(231\) −0.436928 0.756782i −0.0287478 0.0497926i
\(232\) 2.02537i 0.132972i
\(233\) 0.508726i 0.0333277i 0.999861 + 0.0166639i \(0.00530452\pi\)
−0.999861 + 0.0166639i \(0.994695\pi\)
\(234\) −1.81865 3.14999i −0.118889 0.205921i
\(235\) −17.8379 19.3307i −1.16362 1.26099i
\(236\) 7.31417i 0.476112i
\(237\) −1.79240 3.10453i −0.116429 0.201661i
\(238\) −1.36055 + 0.785516i −0.0881916 + 0.0509174i
\(239\) 5.12135 2.95681i 0.331273 0.191260i −0.325133 0.945668i \(-0.605409\pi\)
0.656406 + 0.754408i \(0.272076\pi\)
\(240\) −1.51642 1.64331i −0.0978842 0.106076i
\(241\) 1.48624 + 0.858078i 0.0957368 + 0.0552737i 0.547104 0.837065i \(-0.315730\pi\)
−0.451367 + 0.892338i \(0.649064\pi\)
\(242\) −5.15919 8.93598i −0.331645 0.574427i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 5.60990 3.23888i 0.359137 0.207348i
\(245\) −12.5526 3.90966i −0.801957 0.249779i
\(246\) −2.47438 1.42858i −0.157761 0.0910831i
\(247\) −17.3057 + 9.99145i −1.10113 + 0.635740i
\(248\) 6.27676i 0.398574i
\(249\) 15.4846 0.981297
\(250\) 4.17005 10.3736i 0.263737 0.656081i
\(251\) 16.7132i 1.05493i −0.849576 0.527465i \(-0.823142\pi\)
0.849576 0.527465i \(-0.176858\pi\)
\(252\) −0.916644 0.529225i −0.0577432 0.0333380i
\(253\) −1.84920 −0.116258
\(254\) 5.43873 + 3.14005i 0.341256 + 0.197024i
\(255\) 2.25078 + 2.43913i 0.140949 + 0.152744i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 1.47817 + 2.56026i 0.0922055 + 0.159705i 0.908439 0.418018i \(-0.137275\pi\)
−0.816233 + 0.577722i \(0.803942\pi\)
\(258\) 10.6694i 0.664249i
\(259\) 4.80099 + 4.28978i 0.298319 + 0.266554i
\(260\) −7.76530 2.41860i −0.481583 0.149995i
\(261\) −1.75402 + 1.01268i −0.108571 + 0.0626835i
\(262\) 11.2829 + 6.51420i 0.697062 + 0.402449i
\(263\) 15.9056 + 9.18313i 0.980784 + 0.566256i 0.902507 0.430676i \(-0.141725\pi\)
0.0782774 + 0.996932i \(0.475058\pi\)
\(264\) 0.714991 + 0.412800i 0.0440046 + 0.0254061i
\(265\) 6.15001 19.7456i 0.377792 1.21296i
\(266\) −2.90750 + 5.03594i −0.178271 + 0.308774i
\(267\) −3.30888 −0.202500
\(268\) 11.2463 6.49307i 0.686979 0.396628i
\(269\) 23.1442 1.41113 0.705563 0.708648i \(-0.250694\pi\)
0.705563 + 0.708648i \(0.250694\pi\)
\(270\) −0.664945 + 2.13491i −0.0404672 + 0.129927i
\(271\) 8.12733 + 14.0769i 0.493700 + 0.855113i 0.999974 0.00725939i \(-0.00231076\pi\)
−0.506274 + 0.862373i \(0.668977\pi\)
\(272\) 0.742138 1.28542i 0.0449987 0.0779401i
\(273\) −3.84989 −0.233006
\(274\) 6.19847 3.57869i 0.374463 0.216196i
\(275\) −0.331039 + 4.11471i −0.0199624 + 0.248126i
\(276\) −1.93975 + 1.11991i −0.116759 + 0.0674108i
\(277\) 2.33406 4.04271i 0.140240 0.242903i −0.787347 0.616510i \(-0.788546\pi\)
0.927587 + 0.373607i \(0.121879\pi\)
\(278\) 5.76530 9.98579i 0.345779 0.598908i
\(279\) −5.43583 + 3.13838i −0.325435 + 0.187890i
\(280\) −2.30886 + 0.520331i −0.137981 + 0.0310957i
\(281\) 12.2372 7.06515i 0.730010 0.421471i −0.0884158 0.996084i \(-0.528180\pi\)
0.818426 + 0.574612i \(0.194847\pi\)
\(282\) 11.7632 0.700489
\(283\) 5.01437 8.68515i 0.298073 0.516278i −0.677622 0.735411i \(-0.736989\pi\)
0.975695 + 0.219132i \(0.0703226\pi\)
\(284\) −0.701131 1.21439i −0.0416045 0.0720611i
\(285\) 11.7290 + 3.65313i 0.694765 + 0.216393i
\(286\) 3.00295 0.177568
\(287\) −2.61900 + 1.51208i −0.154595 + 0.0892554i
\(288\) 1.00000 0.0589256
\(289\) 7.39846 12.8145i 0.435204 0.753795i
\(290\) −1.34676 + 4.32398i −0.0790842 + 0.253913i
\(291\) −4.48912 2.59179i −0.263157 0.151934i
\(292\) −7.64277 4.41256i −0.447260 0.258225i
\(293\) 0.821707 + 0.474413i 0.0480046 + 0.0277155i 0.523810 0.851835i \(-0.324510\pi\)
−0.475806 + 0.879550i \(0.657843\pi\)
\(294\) 5.09196 2.93984i 0.296969 0.171455i
\(295\) −4.86352 + 15.6151i −0.283165 + 0.909147i
\(296\) −5.95462 1.24197i −0.346105 0.0721881i
\(297\) 0.825600i 0.0479062i
\(298\) −1.51930 2.63151i −0.0880107 0.152439i
\(299\) −4.07345 + 7.05542i −0.235574 + 0.408026i
\(300\) 2.14470 + 4.51666i 0.123824 + 0.260770i
\(301\) 9.78007 + 5.64652i 0.563714 + 0.325460i
\(302\) −8.40022 −0.483379
\(303\) −9.11098 5.26023i −0.523412 0.302192i
\(304\) 5.49389i 0.315096i
\(305\) −14.1303 + 3.18444i −0.809099 + 0.182341i
\(306\) −1.48428 −0.0848504
\(307\) 12.8973i 0.736088i −0.929808 0.368044i \(-0.880028\pi\)
0.929808 0.368044i \(-0.119972\pi\)
\(308\) 0.756782 0.436928i 0.0431216 0.0248963i
\(309\) −14.0086 8.08789i −0.796923 0.460104i
\(310\) −4.17370 + 13.4003i −0.237050 + 0.761087i
\(311\) −22.1356 + 12.7800i −1.25520 + 0.724688i −0.972137 0.234414i \(-0.924683\pi\)
−0.283060 + 0.959102i \(0.591349\pi\)
\(312\) 3.14999 1.81865i 0.178333 0.102961i
\(313\) −2.35334 4.07611i −0.133019 0.230395i 0.791820 0.610754i \(-0.209134\pi\)
−0.924839 + 0.380359i \(0.875800\pi\)
\(314\) −12.7985 7.38920i −0.722259 0.416997i
\(315\) 1.60505 + 1.73937i 0.0904343 + 0.0980022i
\(316\) 3.10453 1.79240i 0.174643 0.100830i
\(317\) −21.7227 + 12.5416i −1.22007 + 0.704407i −0.964933 0.262498i \(-0.915454\pi\)
−0.255137 + 0.966905i \(0.582120\pi\)
\(318\) 4.62445 + 8.00978i 0.259326 + 0.449166i
\(319\) 1.67214i 0.0936219i
\(320\) 1.64331 1.51642i 0.0918641 0.0847702i
\(321\) −7.05015 12.2112i −0.393501 0.681563i
\(322\) 2.37074i 0.132116i
\(323\) 8.15446i 0.453726i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) 14.9700 + 10.3270i 0.830386 + 0.572838i
\(326\) 1.76345 3.05439i 0.0976686 0.169167i
\(327\) −5.24991 −0.290321
\(328\) 1.42858 2.47438i 0.0788803 0.136625i
\(329\) 6.22538 10.7827i 0.343216 0.594468i
\(330\) −1.25195 1.35672i −0.0689177 0.0746850i
\(331\) 7.92971 4.57822i 0.435856 0.251642i −0.265982 0.963978i \(-0.585696\pi\)
0.701838 + 0.712336i \(0.252363\pi\)
\(332\) 15.4846i 0.849828i
\(333\) 1.90173 + 5.77784i 0.104214 + 0.316624i
\(334\) 21.4770 1.17517
\(335\) −28.3275 + 6.38395i −1.54770 + 0.348793i
\(336\) 0.529225 0.916644i 0.0288716 0.0500070i
\(337\) −8.94213 5.16274i −0.487109 0.281232i 0.236266 0.971689i \(-0.424076\pi\)
−0.723374 + 0.690456i \(0.757410\pi\)
\(338\) 0.114948 0.199096i 0.00625236 0.0108294i
\(339\) 3.35443i 0.182188i
\(340\) −2.43913 + 2.25078i −0.132281 + 0.122066i
\(341\) 5.18209i 0.280626i
\(342\) −4.75785 + 2.74695i −0.257275 + 0.148538i
\(343\) 13.6325i 0.736086i
\(344\) −10.6694 −0.575257
\(345\) 4.88587 1.10109i 0.263046 0.0592808i
\(346\) 2.69931 + 1.55845i 0.145116 + 0.0837827i
\(347\) −25.3284 −1.35970 −0.679850 0.733351i \(-0.737955\pi\)
−0.679850 + 0.733351i \(0.737955\pi\)
\(348\) −1.01268 1.75402i −0.0542855 0.0940252i
\(349\) 11.2916 + 19.5576i 0.604426 + 1.04690i 0.992142 + 0.125117i \(0.0399308\pi\)
−0.387716 + 0.921779i \(0.626736\pi\)
\(350\) 5.27520 + 0.424404i 0.281971 + 0.0226854i
\(351\) −3.14999 1.81865i −0.168134 0.0970722i
\(352\) −0.412800 + 0.714991i −0.0220023 + 0.0381091i
\(353\) 11.5240 + 19.9601i 0.613360 + 1.06237i 0.990670 + 0.136283i \(0.0435156\pi\)
−0.377310 + 0.926087i \(0.623151\pi\)
\(354\) −3.65709 6.33426i −0.194372 0.336662i
\(355\) 0.689348 + 3.05884i 0.0365868 + 0.162346i
\(356\) 3.30888i 0.175371i
\(357\) −0.785516 + 1.36055i −0.0415739 + 0.0720081i
\(358\) −8.68224 + 5.01269i −0.458871 + 0.264929i
\(359\) −15.2488 −0.804799 −0.402400 0.915464i \(-0.631824\pi\)
−0.402400 + 0.915464i \(0.631824\pi\)
\(360\) −2.13491 0.664945i −0.112520 0.0350457i
\(361\) 5.59142 + 9.68463i 0.294285 + 0.509717i
\(362\) 1.77541 0.0933135
\(363\) −8.93598 5.15919i −0.469017 0.270787i
\(364\) 3.84989i 0.201789i
\(365\) 13.3825 + 14.5024i 0.700474 + 0.759093i
\(366\) 3.23888 5.60990i 0.169299 0.293234i
\(367\) −5.59808 3.23205i −0.292217 0.168712i 0.346724 0.937967i \(-0.387294\pi\)
−0.638941 + 0.769255i \(0.720627\pi\)
\(368\) −1.11991 1.93975i −0.0583795 0.101116i
\(369\) −2.85716 −0.148738
\(370\) 11.8867 + 6.61099i 0.617963 + 0.343689i
\(371\) 9.78949 0.508245
\(372\) −3.13838 5.43583i −0.162717 0.281835i
\(373\) −22.1461 12.7860i −1.14668 0.662036i −0.198604 0.980080i \(-0.563641\pi\)
−0.948076 + 0.318044i \(0.896974\pi\)
\(374\) 0.612709 1.06124i 0.0316824 0.0548756i
\(375\) −1.57541 11.0688i −0.0813540 0.571590i
\(376\) 11.7632i 0.606641i
\(377\) −6.37988 3.68342i −0.328580 0.189706i
\(378\) −1.05845 −0.0544408
\(379\) 0.395361 + 0.684786i 0.0203084 + 0.0351751i 0.876001 0.482309i \(-0.160202\pi\)
−0.855693 + 0.517484i \(0.826869\pi\)
\(380\) −3.65313 + 11.7290i −0.187402 + 0.601684i
\(381\) 6.28010 0.321739
\(382\) 16.6845 9.63281i 0.853654 0.492857i
\(383\) 7.08892 12.2784i 0.362227 0.627396i −0.626100 0.779743i \(-0.715350\pi\)
0.988327 + 0.152347i \(0.0486831\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −1.90619 + 0.429585i −0.0971487 + 0.0218937i
\(386\) 9.26016 + 16.0391i 0.471330 + 0.816367i
\(387\) 5.33471 + 9.23999i 0.271179 + 0.469695i
\(388\) 2.59179 4.48912i 0.131578 0.227900i
\(389\) 14.9727 + 8.64452i 0.759149 + 0.438295i 0.828990 0.559264i \(-0.188916\pi\)
−0.0698414 + 0.997558i \(0.522249\pi\)
\(390\) −7.93425 + 1.78808i −0.401766 + 0.0905430i
\(391\) 1.66226 + 2.87912i 0.0840641 + 0.145603i
\(392\) 2.93984 + 5.09196i 0.148484 + 0.257183i
\(393\) 13.0284 0.657196
\(394\) 4.21694 + 2.43465i 0.212446 + 0.122656i
\(395\) −7.81974 + 1.76228i −0.393454 + 0.0886697i
\(396\) 0.825600 0.0414880
\(397\) 5.32580i 0.267294i −0.991029 0.133647i \(-0.957331\pi\)
0.991029 0.133647i \(-0.0426689\pi\)
\(398\) 15.4856 8.94064i 0.776225 0.448154i
\(399\) 5.81501i 0.291115i
\(400\) −4.51666 + 2.14470i −0.225833 + 0.107235i
\(401\) 29.8380i 1.49004i −0.667043 0.745019i \(-0.732440\pi\)
0.667043 0.745019i \(-0.267560\pi\)
\(402\) 6.49307 11.2463i 0.323845 0.560916i
\(403\) −19.7717 11.4152i −0.984899 0.568632i
\(404\) 5.26023 9.11098i 0.261706 0.453288i
\(405\) 0.491597 + 2.18136i 0.0244276 + 0.108393i
\(406\) −2.14375 −0.106392
\(407\) −4.91613 1.02537i −0.243684 0.0508258i
\(408\) 1.48428i 0.0734826i
\(409\) −6.17878 + 3.56732i −0.305521 + 0.176393i −0.644921 0.764250i \(-0.723110\pi\)
0.339399 + 0.940642i \(0.389776\pi\)
\(410\) −4.69522 + 4.33265i −0.231880 + 0.213974i
\(411\) 3.57869 6.19847i 0.176524 0.305748i
\(412\) 8.08789 14.0086i 0.398462 0.690156i
\(413\) −7.74169 −0.380943
\(414\) −1.11991 + 1.93975i −0.0550407 + 0.0953333i
\(415\) 10.2964 33.0583i 0.505431 1.62277i
\(416\) 1.81865 + 3.14999i 0.0891665 + 0.154441i
\(417\) 11.5306i 0.564655i
\(418\) 4.53576i 0.221851i
\(419\) 3.74432 + 6.48535i 0.182922 + 0.316830i 0.942874 0.333149i \(-0.108111\pi\)
−0.759952 + 0.649979i \(0.774778\pi\)
\(420\) −1.73937 + 1.60505i −0.0848724 + 0.0783184i
\(421\) 11.6772i 0.569114i 0.958659 + 0.284557i \(0.0918465\pi\)
−0.958659 + 0.284557i \(0.908153\pi\)
\(422\) −0.197873 0.342726i −0.00963229 0.0166836i
\(423\) 10.1872 5.88160i 0.495320 0.285973i
\(424\) −8.00978 + 4.62445i −0.388989 + 0.224583i
\(425\) 6.70398 3.18333i 0.325191 0.154414i
\(426\) −1.21439 0.701131i −0.0588376 0.0339699i
\(427\) −3.42819 5.93779i −0.165902 0.287350i
\(428\) 12.2112 7.05015i 0.590251 0.340782i
\(429\) 2.60063 1.50147i 0.125560 0.0724919i
\(430\) 22.7783 + 7.09458i 1.09847 + 0.342131i
\(431\) −12.6642 7.31168i −0.610013 0.352191i 0.162957 0.986633i \(-0.447897\pi\)
−0.772971 + 0.634442i \(0.781230\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 39.9241i 1.91863i 0.282341 + 0.959314i \(0.408889\pi\)
−0.282341 + 0.959314i \(0.591111\pi\)
\(434\) −6.64363 −0.318905
\(435\) 0.995663 + 4.41805i 0.0477384 + 0.211829i
\(436\) 5.24991i 0.251425i
\(437\) 10.6568 + 6.15268i 0.509782 + 0.294323i
\(438\) −8.82512 −0.421680
\(439\) 1.05841 + 0.611072i 0.0505151 + 0.0291649i 0.525045 0.851075i \(-0.324049\pi\)
−0.474530 + 0.880239i \(0.657382\pi\)
\(440\) 1.35672 1.25195i 0.0646791 0.0596845i
\(441\) 2.93984 5.09196i 0.139992 0.242474i
\(442\) −2.69937 4.67545i −0.128396 0.222389i
\(443\) 7.35235i 0.349321i 0.984629 + 0.174660i \(0.0558828\pi\)
−0.984629 + 0.174660i \(0.944117\pi\)
\(444\) −5.77784 + 1.90173i −0.274204 + 0.0902522i
\(445\) −2.20022 + 7.06418i −0.104301 + 0.334874i
\(446\) −22.1602 + 12.7942i −1.04931 + 0.605822i
\(447\) −2.63151 1.51930i −0.124466 0.0718605i
\(448\) 0.916644 + 0.529225i 0.0433074 + 0.0250035i
\(449\) 10.2005 + 5.88927i 0.481392 + 0.277932i 0.720997 0.692939i \(-0.243684\pi\)
−0.239604 + 0.970871i \(0.577018\pi\)
\(450\) 4.11570 + 2.83920i 0.194016 + 0.133841i
\(451\) 1.17944 2.04285i 0.0555375 0.0961939i
\(452\) −3.35443 −0.157779
\(453\) −7.27481 + 4.20011i −0.341800 + 0.197338i
\(454\) 23.3265 1.09477
\(455\) −2.55996 + 8.21918i −0.120013 + 0.385321i
\(456\) −2.74695 4.75785i −0.128638 0.222807i
\(457\) −7.85584 + 13.6067i −0.367481 + 0.636496i −0.989171 0.146768i \(-0.953113\pi\)
0.621690 + 0.783263i \(0.286446\pi\)
\(458\) −23.3061 −1.08902
\(459\) −1.28542 + 0.742138i −0.0599983 + 0.0346401i
\(460\) 1.10109 + 4.88587i 0.0513386 + 0.227805i
\(461\) −21.3746 + 12.3407i −0.995517 + 0.574762i −0.906919 0.421306i \(-0.861572\pi\)
−0.0885978 + 0.996067i \(0.528239\pi\)
\(462\) 0.436928 0.756782i 0.0203277 0.0352087i
\(463\) 18.6610 32.3218i 0.867249 1.50212i 0.00245324 0.999997i \(-0.499219\pi\)
0.864796 0.502123i \(-0.167448\pi\)
\(464\) 1.75402 1.01268i 0.0814282 0.0470126i
\(465\) 3.08563 + 13.6919i 0.143093 + 0.634945i
\(466\) −0.440570 + 0.254363i −0.0204090 + 0.0117831i
\(467\) −9.17134 −0.424399 −0.212200 0.977226i \(-0.568063\pi\)
−0.212200 + 0.977226i \(0.568063\pi\)
\(468\) 1.81865 3.14999i 0.0840670 0.145608i
\(469\) −6.87259 11.9037i −0.317347 0.549661i
\(470\) 7.82188 25.1134i 0.360797 1.15840i
\(471\) −14.7784 −0.680953
\(472\) 6.33426 3.65709i 0.291558 0.168331i
\(473\) −8.80868 −0.405023
\(474\) 1.79240 3.10453i 0.0823276 0.142596i
\(475\) 15.5982 22.6112i 0.715696 1.03747i
\(476\) −1.36055 0.785516i −0.0623609 0.0360041i
\(477\) 8.00978 + 4.62445i 0.366743 + 0.211739i
\(478\) 5.12135 + 2.95681i 0.234245 + 0.135242i
\(479\) −3.81113 + 2.20036i −0.174135 + 0.100537i −0.584534 0.811369i \(-0.698723\pi\)
0.410399 + 0.911906i \(0.365389\pi\)
\(480\) 0.664945 2.13491i 0.0303504 0.0974449i
\(481\) −14.7415 + 16.4983i −0.672157 + 0.752257i
\(482\) 1.71616i 0.0781688i
\(483\) 1.18537 + 2.05312i 0.0539362 + 0.0934203i
\(484\) 5.15919 8.93598i 0.234509 0.406181i
\(485\) −8.51826 + 7.86047i −0.386794 + 0.356926i
\(486\) −0.866025 0.500000i −0.0392837 0.0226805i
\(487\) −21.3719 −0.968451 −0.484226 0.874943i \(-0.660899\pi\)
−0.484226 + 0.874943i \(0.660899\pi\)
\(488\) 5.60990 + 3.23888i 0.253948 + 0.146617i
\(489\) 3.52691i 0.159492i
\(490\) −2.89043 12.8257i −0.130577 0.579406i
\(491\) 17.2381 0.777944 0.388972 0.921250i \(-0.372830\pi\)
0.388972 + 0.921250i \(0.372830\pi\)
\(492\) 2.85716i 0.128811i
\(493\) −2.60345 + 1.50310i −0.117253 + 0.0676963i
\(494\) −17.3057 9.99145i −0.778620 0.449536i
\(495\) −1.76258 0.548978i −0.0792222 0.0246747i
\(496\) 5.43583 3.13838i 0.244076 0.140917i
\(497\) −1.28538 + 0.742112i −0.0576570 + 0.0332883i
\(498\) 7.74230 + 13.4101i 0.346941 + 0.600919i
\(499\) 27.1360 + 15.6670i 1.21478 + 0.701351i 0.963796 0.266642i \(-0.0859140\pi\)
0.250979 + 0.967992i \(0.419247\pi\)
\(500\) 11.0688 1.57541i 0.495011 0.0704546i
\(501\) 18.5996 10.7385i 0.830969 0.479760i
\(502\) 14.4741 8.35662i 0.646011 0.372974i
\(503\) 7.38550 + 12.7921i 0.329303 + 0.570370i 0.982374 0.186927i \(-0.0598528\pi\)
−0.653070 + 0.757297i \(0.726519\pi\)
\(504\) 1.05845i 0.0471471i
\(505\) −17.2884 + 15.9534i −0.769324 + 0.709916i
\(506\) −0.924600 1.60145i −0.0411035 0.0711933i
\(507\) 0.229897i 0.0102101i
\(508\) 6.28010i 0.278634i
\(509\) 10.6815 + 18.5009i 0.473449 + 0.820039i 0.999538 0.0303912i \(-0.00967531\pi\)
−0.526089 + 0.850430i \(0.676342\pi\)
\(510\) −0.986962 + 3.16880i −0.0437034 + 0.140317i
\(511\) −4.67047 + 8.08949i −0.206609 + 0.357858i
\(512\) −1.00000 −0.0441942
\(513\) −2.74695 + 4.75785i −0.121281 + 0.210064i
\(514\) −1.47817 + 2.56026i −0.0651991 + 0.112928i
\(515\) −26.5819 + 24.5292i −1.17134 + 1.08089i
\(516\) −9.23999 + 5.33471i −0.406768 + 0.234848i
\(517\) 9.71171i 0.427120i
\(518\) −1.31456 + 6.30267i −0.0577586 + 0.276923i
\(519\) 3.11690 0.136817
\(520\) −1.78808 7.93425i −0.0784126 0.347940i
\(521\) 16.6844 28.8982i 0.730957 1.26606i −0.225517 0.974239i \(-0.572407\pi\)
0.956474 0.291816i \(-0.0942595\pi\)
\(522\) −1.75402 1.01268i −0.0767713 0.0443239i
\(523\) 6.52639 11.3040i 0.285379 0.494291i −0.687322 0.726353i \(-0.741214\pi\)
0.972701 + 0.232062i \(0.0745472\pi\)
\(524\) 13.0284i 0.569148i
\(525\) 4.78066 2.27006i 0.208645 0.0990734i
\(526\) 18.3663i 0.800807i
\(527\) −8.06828 + 4.65822i −0.351460 + 0.202915i
\(528\) 0.825600i 0.0359296i
\(529\) −17.9832 −0.781878
\(530\) 20.1752 4.54673i 0.876354 0.197497i
\(531\) −6.33426 3.65709i −0.274884 0.158704i
\(532\) −5.81501 −0.252113
\(533\) −5.19617 9.00003i −0.225071 0.389835i
\(534\) −1.65444 2.86558i −0.0715947 0.124006i
\(535\) −30.7578 + 6.93166i −1.32978 + 0.299682i
\(536\) 11.2463 + 6.49307i 0.485768 + 0.280458i
\(537\) −5.01269 + 8.68224i −0.216314 + 0.374666i
\(538\) 11.5721 + 20.0434i 0.498908 + 0.864134i
\(539\) 2.42713 + 4.20392i 0.104544 + 0.181076i
\(540\) −2.18136 + 0.491597i −0.0938708 + 0.0211550i
\(541\) 21.6228i 0.929635i 0.885406 + 0.464818i \(0.153880\pi\)
−0.885406 + 0.464818i \(0.846120\pi\)
\(542\) −8.12733 + 14.0769i −0.349099 + 0.604657i
\(543\) 1.53755 0.887705i 0.0659826 0.0380951i
\(544\) 1.48428 0.0636378
\(545\) −3.49090 + 11.2081i −0.149534 + 0.480102i
\(546\) −1.92495 3.33410i −0.0823801 0.142686i
\(547\) 19.0025 0.812488 0.406244 0.913765i \(-0.366838\pi\)
0.406244 + 0.913765i \(0.366838\pi\)
\(548\) 6.19847 + 3.57869i 0.264785 + 0.152874i
\(549\) 6.47775i 0.276464i
\(550\) −3.72896 + 1.77066i −0.159003 + 0.0755014i
\(551\) −5.56357 + 9.63638i −0.237016 + 0.410524i
\(552\) −1.93975 1.11991i −0.0825610 0.0476666i
\(553\) −1.89716 3.28599i −0.0806757 0.139734i
\(554\) 4.66812 0.198329
\(555\) 13.5997 0.218086i 0.577276 0.00925722i
\(556\) 11.5306 0.489006
\(557\) −18.9136 32.7593i −0.801395 1.38806i −0.918698 0.394960i \(-0.870758\pi\)
0.117304 0.993096i \(-0.462575\pi\)
\(558\) −5.43583 3.13838i −0.230117 0.132858i
\(559\) −19.4039 + 33.6086i −0.820698 + 1.42149i
\(560\) −1.60505 1.73937i −0.0678257 0.0735016i
\(561\) 1.22542i 0.0517372i
\(562\) 12.2372 + 7.06515i 0.516195 + 0.298025i
\(563\) −2.80373 −0.118163 −0.0590815 0.998253i \(-0.518817\pi\)
−0.0590815 + 0.998253i \(0.518817\pi\)
\(564\) 5.88160 + 10.1872i 0.247660 + 0.428960i
\(565\) 7.16141 + 2.23051i 0.301283 + 0.0938383i
\(566\) 10.0287 0.421539
\(567\) −0.916644 + 0.529225i −0.0384954 + 0.0222254i
\(568\) 0.701131 1.21439i 0.0294188 0.0509549i
\(569\) 39.6236i 1.66111i 0.556937 + 0.830555i \(0.311976\pi\)
−0.556937 + 0.830555i \(0.688024\pi\)
\(570\) 2.70078 + 11.9842i 0.113123 + 0.501961i
\(571\) −3.77916 6.54570i −0.158153 0.273929i 0.776050 0.630672i \(-0.217221\pi\)
−0.934203 + 0.356743i \(0.883887\pi\)
\(572\) 1.50147 + 2.60063i 0.0627798 + 0.108738i
\(573\) 9.63281 16.6845i 0.402416 0.697006i
\(574\) −2.61900 1.51208i −0.109315 0.0631131i
\(575\) 0.898098 11.1631i 0.0374533 0.465532i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 14.7782 + 25.5966i 0.615224 + 1.06560i 0.990345 + 0.138624i \(0.0442680\pi\)
−0.375121 + 0.926976i \(0.622399\pi\)
\(578\) 14.7969 0.615471
\(579\) 16.0391 + 9.26016i 0.666561 + 0.384839i
\(580\) −4.41805 + 0.995663i −0.183450 + 0.0413427i
\(581\) 16.3897 0.679958
\(582\) 5.18358i 0.214867i
\(583\) −6.61288 + 3.81795i −0.273877 + 0.158123i
\(584\) 8.82512i 0.365186i
\(585\) −5.97722 + 5.51565i −0.247128 + 0.228044i
\(586\) 0.948825i 0.0391956i
\(587\) −16.1870 + 28.0366i −0.668108 + 1.15720i 0.310325 + 0.950631i \(0.399562\pi\)
−0.978433 + 0.206566i \(0.933771\pi\)
\(588\) 5.09196 + 2.93984i 0.209989 + 0.121237i
\(589\) −17.2419 + 29.8639i −0.710441 + 1.23052i
\(590\) −15.9549 + 3.59563i −0.656851 + 0.148030i
\(591\) 4.86930 0.200296
\(592\) −1.90173 5.77784i −0.0781607 0.237468i
\(593\) 8.03864i 0.330107i 0.986285 + 0.165054i \(0.0527797\pi\)
−0.986285 + 0.165054i \(0.947220\pi\)
\(594\) 0.714991 0.412800i 0.0293364 0.0169374i
\(595\) 2.38234 + 2.58170i 0.0976663 + 0.105839i
\(596\) 1.51930 2.63151i 0.0622330 0.107791i
\(597\) 8.94064 15.4856i 0.365916 0.633785i
\(598\) −8.14690 −0.333151
\(599\) −1.25133 + 2.16737i −0.0511279 + 0.0885562i −0.890457 0.455068i \(-0.849615\pi\)
0.839329 + 0.543624i \(0.182948\pi\)
\(600\) −2.83920 + 4.11570i −0.115910 + 0.168023i
\(601\) 8.38293 + 14.5197i 0.341947 + 0.592269i 0.984794 0.173725i \(-0.0555804\pi\)
−0.642847 + 0.765994i \(0.722247\pi\)
\(602\) 11.2930i 0.460270i
\(603\) 12.9861i 0.528837i
\(604\) −4.20011 7.27481i −0.170900 0.296008i
\(605\) −16.9564 + 15.6470i −0.689374 + 0.636139i
\(606\) 10.5205i 0.427364i
\(607\) 5.24017 + 9.07623i 0.212692 + 0.368393i 0.952556 0.304363i \(-0.0984436\pi\)
−0.739864 + 0.672756i \(0.765110\pi\)
\(608\) 4.75785 2.74695i 0.192956 0.111403i
\(609\) −1.85654 + 1.07187i −0.0752308 + 0.0434345i
\(610\) −9.82296 10.6450i −0.397720 0.431003i
\(611\) 37.0540 + 21.3931i 1.49904 + 0.865473i
\(612\) −0.742138 1.28542i −0.0299992 0.0519601i
\(613\) −5.61834 + 3.24375i −0.226923 + 0.131014i −0.609152 0.793054i \(-0.708490\pi\)
0.382229 + 0.924068i \(0.375157\pi\)
\(614\) 11.1694 6.44866i 0.450760 0.260247i
\(615\) −1.89986 + 6.09979i −0.0766096 + 0.245967i
\(616\) 0.756782 + 0.436928i 0.0304916 + 0.0176043i
\(617\) 20.5224 11.8486i 0.826200 0.477007i −0.0263501 0.999653i \(-0.508388\pi\)
0.852550 + 0.522646i \(0.175055\pi\)
\(618\) 16.1758i 0.650685i
\(619\) −31.0146 −1.24658 −0.623291 0.781990i \(-0.714205\pi\)
−0.623291 + 0.781990i \(0.714205\pi\)
\(620\) −13.6919 + 3.08563i −0.549879 + 0.123922i
\(621\) 2.23982i 0.0898811i
\(622\) −22.1356 12.7800i −0.887558 0.512432i
\(623\) −3.50229 −0.140316
\(624\) 3.14999 + 1.81865i 0.126100 + 0.0728041i
\(625\) −24.6784 3.99676i −0.987138 0.159871i
\(626\) 2.35334 4.07611i 0.0940585 0.162914i
\(627\) −2.26788 3.92808i −0.0905703 0.156872i
\(628\) 14.7784i 0.589722i
\(629\) 2.82270 + 8.57591i 0.112548 + 0.341944i
\(630\) −0.703810 + 2.25970i −0.0280405 + 0.0900285i
\(631\) 9.21344 5.31938i 0.366781 0.211761i −0.305270 0.952266i \(-0.598747\pi\)
0.672051 + 0.740504i \(0.265413\pi\)
\(632\) 3.10453 + 1.79240i 0.123491 + 0.0712978i
\(633\) −0.342726 0.197873i −0.0136221 0.00786473i
\(634\) −21.7227 12.5416i −0.862719 0.498091i
\(635\) 4.17592 13.4075i 0.165716 0.532059i
\(636\) −4.62445 + 8.00978i −0.183371 + 0.317609i
\(637\) 21.3861 0.847349
\(638\) 1.44812 0.836071i 0.0573315 0.0331004i
\(639\) −1.40226 −0.0554726
\(640\) 2.13491 + 0.664945i 0.0843898 + 0.0262842i
\(641\) 4.38870 + 7.60145i 0.173343 + 0.300239i 0.939587 0.342311i \(-0.111210\pi\)
−0.766243 + 0.642550i \(0.777876\pi\)
\(642\) 7.05015 12.2112i 0.278247 0.481938i
\(643\) −26.7207 −1.05376 −0.526882 0.849939i \(-0.676639\pi\)
−0.526882 + 0.849939i \(0.676639\pi\)
\(644\) −2.05312 + 1.18537i −0.0809044 + 0.0467102i
\(645\) 23.2739 5.24506i 0.916407 0.206524i
\(646\) −7.06197 + 4.07723i −0.277849 + 0.160416i
\(647\) 9.72305 16.8408i 0.382252 0.662081i −0.609131 0.793069i \(-0.708482\pi\)
0.991384 + 0.130989i \(0.0418151\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 5.22957 3.01929i 0.205278 0.118518i
\(650\) −1.45844 + 18.1279i −0.0572046 + 0.711034i
\(651\) −5.75355 + 3.32182i −0.225500 + 0.130192i
\(652\) 3.52691 0.138124
\(653\) −12.7773 + 22.1309i −0.500014 + 0.866049i 0.499986 + 0.866033i \(0.333338\pi\)
−1.00000 1.60106e-5i \(0.999995\pi\)
\(654\) −2.62496 4.54656i −0.102644 0.177785i
\(655\) 8.66317 27.8145i 0.338498 1.08680i
\(656\) 2.85716 0.111554
\(657\) −7.64277 + 4.41256i −0.298173 + 0.172150i
\(658\) 12.4508 0.485381
\(659\) 1.11439 1.93019i 0.0434106 0.0751893i −0.843504 0.537123i \(-0.819511\pi\)
0.886914 + 0.461934i \(0.152844\pi\)
\(660\) 0.548978 1.76258i 0.0213690 0.0686085i
\(661\) 10.9781 + 6.33818i 0.426997 + 0.246527i 0.698066 0.716033i \(-0.254044\pi\)
−0.271070 + 0.962560i \(0.587377\pi\)
\(662\) 7.92971 + 4.57822i 0.308197 + 0.177938i
\(663\) −4.67545 2.69937i −0.181580 0.104835i
\(664\) −13.4101 + 7.74230i −0.520411 + 0.300460i
\(665\) 12.4145 + 3.86666i 0.481415 + 0.149943i
\(666\) −4.05289 + 4.53587i −0.157046 + 0.175761i
\(667\) 4.53646i 0.175653i
\(668\) 10.7385 + 18.5996i 0.415485 + 0.719641i
\(669\) −12.7942 + 22.1602i −0.494651 + 0.856761i
\(670\) −19.6924 21.3403i −0.760784 0.824449i
\(671\) 4.63153 + 2.67402i 0.178798 + 0.103229i
\(672\) 1.05845 0.0408306
\(673\) 34.8308 + 20.1096i 1.34263 + 0.775168i 0.987193 0.159532i \(-0.0509985\pi\)
0.355438 + 0.934700i \(0.384332\pi\)
\(674\) 10.3255i 0.397723i
\(675\) 4.98390 + 0.400968i 0.191830 + 0.0154333i
\(676\) 0.229897 0.00884218
\(677\) 29.7892i 1.14489i 0.819942 + 0.572446i \(0.194005\pi\)
−0.819942 + 0.572446i \(0.805995\pi\)
\(678\) −2.90502 + 1.67721i −0.111567 + 0.0644130i
\(679\) −4.75150 2.74328i −0.182346 0.105277i
\(680\) −3.16880 0.986962i −0.121518 0.0378483i
\(681\) 20.2013 11.6633i 0.774117 0.446937i
\(682\) 4.48782 2.59105i 0.171848 0.0992163i
\(683\) 10.7369 + 18.5968i 0.410835 + 0.711587i 0.994981 0.100061i \(-0.0319038\pi\)
−0.584146 + 0.811649i \(0.698571\pi\)
\(684\) −4.75785 2.74695i −0.181921 0.105032i
\(685\) −10.8536 11.7618i −0.414693 0.449396i
\(686\) 11.8061 6.81625i 0.450759 0.260246i
\(687\) −20.1837 + 11.6531i −0.770055 + 0.444592i
\(688\) −5.33471 9.23999i −0.203384 0.352271i
\(689\) 33.6410i 1.28162i
\(690\) 3.39651 + 3.68074i 0.129303 + 0.140123i
\(691\) 7.87430 + 13.6387i 0.299553 + 0.518840i 0.976034 0.217620i \(-0.0698293\pi\)
−0.676481 + 0.736460i \(0.736496\pi\)
\(692\) 3.11690i 0.118487i
\(693\) 0.873856i 0.0331950i
\(694\) −12.6642 21.9350i −0.480727 0.832643i
\(695\) −24.6168 7.66721i −0.933768 0.290834i
\(696\) 1.01268 1.75402i 0.0383856 0.0664859i
\(697\) −4.24082 −0.160633
\(698\) −11.2916 + 19.5576i −0.427394 + 0.740268i
\(699\) −0.254363 + 0.440570i −0.00962089 + 0.0166639i
\(700\) 2.27006 + 4.78066i 0.0858001 + 0.180692i
\(701\) −32.3179 + 18.6588i −1.22063 + 0.704732i −0.965053 0.262056i \(-0.915600\pi\)
−0.255579 + 0.966788i \(0.582266\pi\)
\(702\) 3.63729i 0.137281i
\(703\) 24.9196 + 22.2661i 0.939859 + 0.839783i
\(704\) −0.825600 −0.0311160
\(705\) −5.78276 25.6598i −0.217791 0.966404i
\(706\) −11.5240 + 19.9601i −0.433711 + 0.751209i
\(707\) −9.64351 5.56768i −0.362682 0.209394i
\(708\) 3.65709 6.33426i 0.137442 0.238056i
\(709\) 27.0809i 1.01705i −0.861048 0.508523i \(-0.830192\pi\)
0.861048 0.508523i \(-0.169808\pi\)
\(710\) −2.30436 + 2.12641i −0.0864810 + 0.0798028i
\(711\) 3.58480i 0.134440i
\(712\) 2.86558 1.65444i 0.107392 0.0620028i
\(713\) 14.0588i 0.526508i
\(714\) −1.57103 −0.0587944
\(715\) −1.47624 6.55051i −0.0552083 0.244975i
\(716\) −8.68224 5.01269i −0.324471 0.187333i
\(717\) 5.91363 0.220849
\(718\) −7.62438 13.2058i −0.284539 0.492837i
\(719\) −0.353769 0.612746i −0.0131934 0.0228516i 0.859353 0.511382i \(-0.170866\pi\)
−0.872547 + 0.488531i \(0.837533\pi\)
\(720\) −0.491597 2.18136i −0.0183207 0.0812945i
\(721\) −14.8274 8.56062i −0.552202 0.318814i
\(722\) −5.59142 + 9.68463i −0.208091 + 0.360425i
\(723\) 0.858078 + 1.48624i 0.0319123 + 0.0552737i
\(724\) 0.887705 + 1.53755i 0.0329913 + 0.0571426i
\(725\) 10.0942 + 0.812106i 0.374890 + 0.0301609i
\(726\) 10.3184i 0.382951i
\(727\) 25.3278 43.8690i 0.939356 1.62701i 0.172680 0.984978i \(-0.444757\pi\)
0.766676 0.642034i \(-0.221909\pi\)
\(728\) 3.33410 1.92495i 0.123570 0.0713432i
\(729\) −1.00000 −0.0370370
\(730\) −5.86821 + 18.8408i −0.217192 + 0.697331i
\(731\) 7.91819 + 13.7147i 0.292865 + 0.507257i
\(732\) 6.47775 0.239425
\(733\) −29.3112 16.9228i −1.08263 0.625058i −0.151027 0.988530i \(-0.548258\pi\)
−0.931605 + 0.363471i \(0.881592\pi\)
\(734\) 6.46411i 0.238595i
\(735\) −8.91604 9.66217i −0.328873 0.356395i
\(736\) 1.11991 1.93975i 0.0412805 0.0715000i
\(737\) 9.28497 + 5.36068i 0.342016 + 0.197463i
\(738\) −1.42858 2.47438i −0.0525868 0.0910831i
\(739\) −13.7161 −0.504555 −0.252277 0.967655i \(-0.581180\pi\)
−0.252277 + 0.967655i \(0.581180\pi\)
\(740\) 0.218086 + 13.5997i 0.00801698 + 0.499936i
\(741\) −19.9829 −0.734090
\(742\) 4.89475 + 8.47795i 0.179692 + 0.311235i
\(743\) −13.8765 8.01159i −0.509079 0.293917i 0.223376 0.974732i \(-0.428292\pi\)
−0.732455 + 0.680816i \(0.761625\pi\)
\(744\) 3.13838 5.43583i 0.115059 0.199287i
\(745\) −4.99338 + 4.60778i −0.182943 + 0.168816i
\(746\) 25.5721i 0.936260i
\(747\) 13.4101 + 7.74230i 0.490649 + 0.283276i
\(748\) 1.22542 0.0448058
\(749\) −7.46223 12.9250i −0.272664 0.472268i
\(750\) 8.79815 6.89874i 0.321263 0.251906i
\(751\) 33.4440 1.22039 0.610195 0.792251i \(-0.291091\pi\)
0.610195 + 0.792251i \(0.291091\pi\)
\(752\) −10.1872 + 5.88160i −0.371490 + 0.214480i
\(753\) 8.35662 14.4741i 0.304532 0.527465i
\(754\) 7.36685i 0.268285i
\(755\) 4.12952 + 18.3239i 0.150289 + 0.666875i
\(756\) −0.529225 0.916644i −0.0192477 0.0333380i
\(757\) −25.2767 43.7805i −0.918697 1.59123i −0.801396 0.598134i \(-0.795909\pi\)
−0.117301 0.993096i \(-0.537424\pi\)
\(758\) −0.395361 + 0.684786i −0.0143602 + 0.0248726i
\(759\) −1.60145 0.924600i −0.0581291 0.0335608i
\(760\) −11.9842 + 2.70078i −0.434711 + 0.0979676i
\(761\) −19.6784 34.0840i −0.713341 1.23554i −0.963596 0.267362i \(-0.913848\pi\)
0.250255 0.968180i \(-0.419485\pi\)
\(762\) 3.14005 + 5.43873i 0.113752 + 0.197024i
\(763\) −5.55677 −0.201169
\(764\) 16.6845 + 9.63281i 0.603625 + 0.348503i
\(765\) 0.729666 + 3.23774i 0.0263811 + 0.117061i
\(766\) 14.1778 0.512267
\(767\) 26.6038i 0.960607i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 4.77703i 0.172264i 0.996284 + 0.0861320i \(0.0274507\pi\)
−0.996284 + 0.0861320i \(0.972549\pi\)
\(770\) −1.32513 1.43602i −0.0477543 0.0517506i
\(771\) 2.95633i 0.106470i
\(772\) −9.26016 + 16.0391i −0.333280 + 0.577259i
\(773\) −11.8192 6.82383i −0.425108 0.245436i 0.272153 0.962254i \(-0.412264\pi\)
−0.697260 + 0.716818i \(0.745598\pi\)
\(774\) −5.33471 + 9.23999i −0.191752 + 0.332125i
\(775\) 31.2827 + 2.51678i 1.12371 + 0.0904053i
\(776\) 5.18358 0.186080