Properties

Label 260.2.o.a.183.6
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.6
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26622 - 0.629837i) q^{2} +(2.21225 - 2.21225i) q^{3} +(1.20661 + 1.59502i) q^{4} +(1.36305 + 1.77259i) q^{5} +(-4.19454 + 1.40783i) q^{6} +(-2.47925 - 2.47925i) q^{7} +(-0.523229 - 2.77961i) q^{8} -6.78807i q^{9} +O(q^{10})\) \(q+(-1.26622 - 0.629837i) q^{2} +(2.21225 - 2.21225i) q^{3} +(1.20661 + 1.59502i) q^{4} +(1.36305 + 1.77259i) q^{5} +(-4.19454 + 1.40783i) q^{6} +(-2.47925 - 2.47925i) q^{7} +(-0.523229 - 2.77961i) q^{8} -6.78807i q^{9} +(-0.609477 - 3.10299i) q^{10} +1.32751i q^{11} +(6.19790 + 0.859257i) q^{12} +(0.707107 + 0.707107i) q^{13} +(1.57775 + 4.70080i) q^{14} +(6.93682 + 0.906002i) q^{15} +(-1.08818 + 3.84914i) q^{16} +(4.38472 - 4.38472i) q^{17} +(-4.27537 + 8.59516i) q^{18} +0.135619 q^{19} +(-1.18265 + 4.31293i) q^{20} -10.9694 q^{21} +(0.836114 - 1.68091i) q^{22} +(0.621580 - 0.621580i) q^{23} +(-7.30669 - 4.99167i) q^{24} +(-1.28417 + 4.83228i) q^{25} +(-0.449989 - 1.34071i) q^{26} +(-8.38013 - 8.38013i) q^{27} +(0.962965 - 6.94596i) q^{28} +2.54775i q^{29} +(-8.21289 - 5.51626i) q^{30} +3.33827i q^{31} +(3.80220 - 4.18847i) q^{32} +(2.93678 + 2.93678i) q^{33} +(-8.31366 + 2.79035i) q^{34} +(1.01535 - 7.77406i) q^{35} +(10.8271 - 8.19056i) q^{36} +(-6.56388 + 6.56388i) q^{37} +(-0.171723 - 0.0854176i) q^{38} +3.12859 q^{39} +(4.21393 - 4.71623i) q^{40} +3.69287 q^{41} +(13.8897 + 6.90896i) q^{42} +(-4.48096 + 4.48096i) q^{43} +(-2.11740 + 1.60179i) q^{44} +(12.0325 - 9.25250i) q^{45} +(-1.17855 + 0.395561i) q^{46} +(0.681313 + 0.681313i) q^{47} +(6.10792 + 10.9226i) q^{48} +5.29340i q^{49} +(4.66958 - 5.30989i) q^{50} -19.4001i q^{51} +(-0.274647 + 1.98105i) q^{52} +(7.99063 + 7.99063i) q^{53} +(5.33295 + 15.8892i) q^{54} +(-2.35313 + 1.80947i) q^{55} +(-5.59414 + 8.18858i) q^{56} +(0.300022 - 0.300022i) q^{57} +(1.60467 - 3.22601i) q^{58} -3.78272 q^{59} +(6.92495 + 12.1576i) q^{60} -11.8592 q^{61} +(2.10256 - 4.22697i) q^{62} +(-16.8293 + 16.8293i) q^{63} +(-7.45246 + 2.90874i) q^{64} +(-0.289588 + 2.21724i) q^{65} +(-1.86891 - 5.56828i) q^{66} +(5.75276 + 5.75276i) q^{67} +(12.2844 + 1.70306i) q^{68} -2.75018i q^{69} +(-6.18205 + 9.20415i) q^{70} +4.51098i q^{71} +(-18.8682 + 3.55171i) q^{72} +(-3.49731 - 3.49731i) q^{73} +(12.4455 - 4.17712i) q^{74} +(7.84929 + 13.5311i) q^{75} +(0.163639 + 0.216315i) q^{76} +(3.29123 - 3.29123i) q^{77} +(-3.96147 - 1.97050i) q^{78} +12.6798 q^{79} +(-8.30620 + 3.31768i) q^{80} -16.7136 q^{81} +(-4.67598 - 2.32591i) q^{82} +(2.19005 - 2.19005i) q^{83} +(-13.2358 - 17.4965i) q^{84} +(13.7489 + 1.79571i) q^{85} +(8.49614 - 2.85159i) q^{86} +(5.63626 + 5.63626i) q^{87} +(3.68996 - 0.694591i) q^{88} -5.56362i q^{89} +(-21.0633 + 4.13717i) q^{90} -3.50619i q^{91} +(1.74144 + 0.241428i) q^{92} +(7.38507 + 7.38507i) q^{93} +(-0.433574 - 1.29181i) q^{94} +(0.184856 + 0.240397i) q^{95} +(-0.854520 - 17.6773i) q^{96} +(-0.789152 + 0.789152i) q^{97} +(3.33398 - 6.70259i) q^{98} +9.01122 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26622 0.629837i −0.895351 0.445362i
\(3\) 2.21225 2.21225i 1.27724 1.27724i 0.335035 0.942206i \(-0.391252\pi\)
0.942206 0.335035i \(-0.108748\pi\)
\(4\) 1.20661 + 1.59502i 0.603306 + 0.797510i
\(5\) 1.36305 + 1.77259i 0.609576 + 0.792728i
\(6\) −4.19454 + 1.40783i −1.71241 + 0.574744i
\(7\) −2.47925 2.47925i −0.937070 0.937070i 0.0610640 0.998134i \(-0.480551\pi\)
−0.998134 + 0.0610640i \(0.980551\pi\)
\(8\) −0.523229 2.77961i −0.184989 0.982741i
\(9\) 6.78807i 2.26269i
\(10\) −0.609477 3.10299i −0.192734 0.981251i
\(11\) 1.32751i 0.400259i 0.979769 + 0.200129i \(0.0641363\pi\)
−0.979769 + 0.200129i \(0.935864\pi\)
\(12\) 6.19790 + 0.859257i 1.78918 + 0.248046i
\(13\) 0.707107 + 0.707107i 0.196116 + 0.196116i
\(14\) 1.57775 + 4.70080i 0.421671 + 1.25634i
\(15\) 6.93682 + 0.906002i 1.79108 + 0.233929i
\(16\) −1.08818 + 3.84914i −0.272045 + 0.962285i
\(17\) 4.38472 4.38472i 1.06345 1.06345i 0.0656042 0.997846i \(-0.479103\pi\)
0.997846 0.0656042i \(-0.0208975\pi\)
\(18\) −4.27537 + 8.59516i −1.00772 + 2.02590i
\(19\) 0.135619 0.0311131 0.0155565 0.999879i \(-0.495048\pi\)
0.0155565 + 0.999879i \(0.495048\pi\)
\(20\) −1.18265 + 4.31293i −0.264448 + 0.964400i
\(21\) −10.9694 −2.39373
\(22\) 0.836114 1.68091i 0.178260 0.358372i
\(23\) 0.621580 0.621580i 0.129608 0.129608i −0.639327 0.768935i \(-0.720787\pi\)
0.768935 + 0.639327i \(0.220787\pi\)
\(24\) −7.30669 4.99167i −1.49147 1.01892i
\(25\) −1.28417 + 4.83228i −0.256834 + 0.966456i
\(26\) −0.449989 1.34071i −0.0882500 0.262935i
\(27\) −8.38013 8.38013i −1.61276 1.61276i
\(28\) 0.962965 6.94596i 0.181983 1.31266i
\(29\) 2.54775i 0.473106i 0.971619 + 0.236553i \(0.0760177\pi\)
−0.971619 + 0.236553i \(0.923982\pi\)
\(30\) −8.21289 5.51626i −1.49946 1.00713i
\(31\) 3.33827i 0.599571i 0.954007 + 0.299785i \(0.0969150\pi\)
−0.954007 + 0.299785i \(0.903085\pi\)
\(32\) 3.80220 4.18847i 0.672140 0.740424i
\(33\) 2.93678 + 2.93678i 0.511227 + 0.511227i
\(34\) −8.31366 + 2.79035i −1.42578 + 0.478540i
\(35\) 1.01535 7.77406i 0.171626 1.31406i
\(36\) 10.8271 8.19056i 1.80452 1.36509i
\(37\) −6.56388 + 6.56388i −1.07909 + 1.07909i −0.0825042 + 0.996591i \(0.526292\pi\)
−0.996591 + 0.0825042i \(0.973708\pi\)
\(38\) −0.171723 0.0854176i −0.0278571 0.0138566i
\(39\) 3.12859 0.500975
\(40\) 4.21393 4.71623i 0.666280 0.745701i
\(41\) 3.69287 0.576730 0.288365 0.957521i \(-0.406888\pi\)
0.288365 + 0.957521i \(0.406888\pi\)
\(42\) 13.8897 + 6.90896i 2.14323 + 1.06608i
\(43\) −4.48096 + 4.48096i −0.683340 + 0.683340i −0.960751 0.277411i \(-0.910523\pi\)
0.277411 + 0.960751i \(0.410523\pi\)
\(44\) −2.11740 + 1.60179i −0.319211 + 0.241478i
\(45\) 12.0325 9.25250i 1.79370 1.37928i
\(46\) −1.17855 + 0.395561i −0.173768 + 0.0583223i
\(47\) 0.681313 + 0.681313i 0.0993797 + 0.0993797i 0.755049 0.655669i \(-0.227613\pi\)
−0.655669 + 0.755049i \(0.727613\pi\)
\(48\) 6.10792 + 10.9226i 0.881602 + 1.57654i
\(49\) 5.29340i 0.756200i
\(50\) 4.66958 5.30989i 0.660379 0.750932i
\(51\) 19.4001i 2.71656i
\(52\) −0.274647 + 1.98105i −0.0380867 + 0.274723i
\(53\) 7.99063 + 7.99063i 1.09760 + 1.09760i 0.994691 + 0.102906i \(0.0328142\pi\)
0.102906 + 0.994691i \(0.467186\pi\)
\(54\) 5.33295 + 15.8892i 0.725723 + 2.16224i
\(55\) −2.35313 + 1.80947i −0.317296 + 0.243988i
\(56\) −5.59414 + 8.18858i −0.747549 + 1.09424i
\(57\) 0.300022 0.300022i 0.0397389 0.0397389i
\(58\) 1.60467 3.22601i 0.210703 0.423596i
\(59\) −3.78272 −0.492468 −0.246234 0.969210i \(-0.579193\pi\)
−0.246234 + 0.969210i \(0.579193\pi\)
\(60\) 6.92495 + 12.1576i 0.894008 + 1.56953i
\(61\) −11.8592 −1.51841 −0.759206 0.650850i \(-0.774413\pi\)
−0.759206 + 0.650850i \(0.774413\pi\)
\(62\) 2.10256 4.22697i 0.267026 0.536826i
\(63\) −16.8293 + 16.8293i −2.12030 + 2.12030i
\(64\) −7.45246 + 2.90874i −0.931558 + 0.363593i
\(65\) −0.289588 + 2.21724i −0.0359190 + 0.275014i
\(66\) −1.86891 5.56828i −0.230046 0.685408i
\(67\) 5.75276 + 5.75276i 0.702811 + 0.702811i 0.965013 0.262202i \(-0.0844486\pi\)
−0.262202 + 0.965013i \(0.584449\pi\)
\(68\) 12.2844 + 1.70306i 1.48970 + 0.206527i
\(69\) 2.75018i 0.331082i
\(70\) −6.18205 + 9.20415i −0.738896 + 1.10011i
\(71\) 4.51098i 0.535355i 0.963509 + 0.267678i \(0.0862562\pi\)
−0.963509 + 0.267678i \(0.913744\pi\)
\(72\) −18.8682 + 3.55171i −2.22364 + 0.418573i
\(73\) −3.49731 3.49731i −0.409329 0.409329i 0.472176 0.881504i \(-0.343469\pi\)
−0.881504 + 0.472176i \(0.843469\pi\)
\(74\) 12.4455 4.17712i 1.44676 0.485581i
\(75\) 7.84929 + 13.5311i 0.906358 + 1.56244i
\(76\) 0.163639 + 0.216315i 0.0187707 + 0.0248130i
\(77\) 3.29123 3.29123i 0.375071 0.375071i
\(78\) −3.96147 1.97050i −0.448548 0.223115i
\(79\) 12.6798 1.42658 0.713292 0.700867i \(-0.247203\pi\)
0.713292 + 0.700867i \(0.247203\pi\)
\(80\) −8.30620 + 3.31768i −0.928662 + 0.370928i
\(81\) −16.7136 −1.85707
\(82\) −4.67598 2.32591i −0.516375 0.256854i
\(83\) 2.19005 2.19005i 0.240390 0.240390i −0.576622 0.817011i \(-0.695629\pi\)
0.817011 + 0.576622i \(0.195629\pi\)
\(84\) −13.2358 17.4965i −1.44415 1.90902i
\(85\) 13.7489 + 1.79571i 1.49128 + 0.194772i
\(86\) 8.49614 2.85159i 0.916162 0.307495i
\(87\) 5.63626 + 5.63626i 0.604270 + 0.604270i
\(88\) 3.68996 0.694591i 0.393351 0.0740436i
\(89\) 5.56362i 0.589742i −0.955537 0.294871i \(-0.904723\pi\)
0.955537 0.294871i \(-0.0952767\pi\)
\(90\) −21.0633 + 4.13717i −2.22027 + 0.436096i
\(91\) 3.50619i 0.367549i
\(92\) 1.74144 + 0.241428i 0.181558 + 0.0251706i
\(93\) 7.38507 + 7.38507i 0.765796 + 0.765796i
\(94\) −0.433574 1.29181i −0.0447197 0.133240i
\(95\) 0.184856 + 0.240397i 0.0189658 + 0.0246642i
\(96\) −0.854520 17.6773i −0.0872141 1.80418i
\(97\) −0.789152 + 0.789152i −0.0801262 + 0.0801262i −0.746034 0.665908i \(-0.768044\pi\)
0.665908 + 0.746034i \(0.268044\pi\)
\(98\) 3.33398 6.70259i 0.336783 0.677064i
\(99\) 9.01122 0.905661
\(100\) −9.25707 + 3.78240i −0.925707 + 0.378240i
\(101\) 15.9336 1.58546 0.792728 0.609576i \(-0.208660\pi\)
0.792728 + 0.609576i \(0.208660\pi\)
\(102\) −12.2189 + 24.5648i −1.20985 + 2.43228i
\(103\) −3.40973 + 3.40973i −0.335970 + 0.335970i −0.854848 0.518878i \(-0.826350\pi\)
0.518878 + 0.854848i \(0.326350\pi\)
\(104\) 1.59550 2.33546i 0.156452 0.229011i
\(105\) −14.9519 19.4443i −1.45916 1.89757i
\(106\) −5.08508 15.1507i −0.493906 1.47156i
\(107\) −3.76190 3.76190i −0.363677 0.363677i 0.501488 0.865165i \(-0.332786\pi\)
−0.865165 + 0.501488i \(0.832786\pi\)
\(108\) 3.25492 23.4780i 0.313205 2.25918i
\(109\) 2.01777i 0.193268i −0.995320 0.0966338i \(-0.969192\pi\)
0.995320 0.0966338i \(-0.0308076\pi\)
\(110\) 4.11924 0.809086i 0.392754 0.0771434i
\(111\) 29.0418i 2.75653i
\(112\) 12.2409 6.84512i 1.15665 0.646803i
\(113\) −7.84449 7.84449i −0.737948 0.737948i 0.234233 0.972181i \(-0.424742\pi\)
−0.972181 + 0.234233i \(0.924742\pi\)
\(114\) −0.568858 + 0.190928i −0.0532784 + 0.0178820i
\(115\) 1.94906 + 0.254562i 0.181750 + 0.0237380i
\(116\) −4.06372 + 3.07415i −0.377307 + 0.285427i
\(117\) 4.79989 4.79989i 0.443750 0.443750i
\(118\) 4.78974 + 2.38250i 0.440932 + 0.219326i
\(119\) −21.7417 −1.99305
\(120\) −1.11121 19.7557i −0.101440 1.80344i
\(121\) 9.23772 0.839793
\(122\) 15.0163 + 7.46935i 1.35951 + 0.676243i
\(123\) 8.16954 8.16954i 0.736623 0.736623i
\(124\) −5.32460 + 4.02799i −0.478164 + 0.361724i
\(125\) −10.3161 + 4.31034i −0.922696 + 0.385529i
\(126\) 31.9093 10.7099i 2.84271 0.954110i
\(127\) −14.4150 14.4150i −1.27913 1.27913i −0.941156 0.337973i \(-0.890259\pi\)
−0.337973 0.941156i \(-0.609741\pi\)
\(128\) 11.2685 + 1.01073i 0.996001 + 0.0893371i
\(129\) 19.8260i 1.74558i
\(130\) 1.76318 2.62511i 0.154641 0.230237i
\(131\) 21.0027i 1.83502i 0.397714 + 0.917509i \(0.369804\pi\)
−0.397714 + 0.917509i \(0.630196\pi\)
\(132\) −1.14067 + 8.22776i −0.0992826 + 0.716135i
\(133\) −0.336233 0.336233i −0.0291551 0.0291551i
\(134\) −3.66094 10.9075i −0.316257 0.942268i
\(135\) 3.43199 26.2771i 0.295379 2.26158i
\(136\) −14.4820 9.89359i −1.24182 0.848368i
\(137\) 4.47775 4.47775i 0.382560 0.382560i −0.489464 0.872024i \(-0.662807\pi\)
0.872024 + 0.489464i \(0.162807\pi\)
\(138\) −1.73216 + 3.48232i −0.147452 + 0.296435i
\(139\) −18.6728 −1.58381 −0.791903 0.610646i \(-0.790910\pi\)
−0.791903 + 0.610646i \(0.790910\pi\)
\(140\) 13.6249 7.76076i 1.15152 0.655904i
\(141\) 3.01446 0.253864
\(142\) 2.84118 5.71189i 0.238427 0.479331i
\(143\) −0.938690 + 0.938690i −0.0784972 + 0.0784972i
\(144\) 26.1282 + 7.38663i 2.17735 + 0.615553i
\(145\) −4.51613 + 3.47272i −0.375044 + 0.288394i
\(146\) 2.22562 + 6.63108i 0.184193 + 0.548792i
\(147\) 11.7103 + 11.7103i 0.965850 + 0.965850i
\(148\) −18.3896 2.54947i −1.51161 0.209565i
\(149\) 2.16250i 0.177159i −0.996069 0.0885794i \(-0.971767\pi\)
0.996069 0.0885794i \(-0.0282327\pi\)
\(150\) −1.41652 22.0771i −0.115659 1.80258i
\(151\) 11.4939i 0.935359i −0.883898 0.467679i \(-0.845090\pi\)
0.883898 0.467679i \(-0.154910\pi\)
\(152\) −0.0709596 0.376967i −0.00575558 0.0305761i
\(153\) −29.7637 29.7637i −2.40626 2.40626i
\(154\) −6.24035 + 2.09447i −0.502862 + 0.168778i
\(155\) −5.91739 + 4.55024i −0.475296 + 0.365484i
\(156\) 3.77499 + 4.99016i 0.302241 + 0.399533i
\(157\) −3.26515 + 3.26515i −0.260587 + 0.260587i −0.825293 0.564705i \(-0.808990\pi\)
0.564705 + 0.825293i \(0.308990\pi\)
\(158\) −16.0553 7.98618i −1.27729 0.635346i
\(159\) 35.3545 2.80379
\(160\) 12.6071 + 1.03065i 0.996675 + 0.0814797i
\(161\) −3.08211 −0.242904
\(162\) 21.1631 + 10.5269i 1.66273 + 0.827069i
\(163\) 15.9970 15.9970i 1.25299 1.25299i 0.298610 0.954375i \(-0.403477\pi\)
0.954375 0.298610i \(-0.0965231\pi\)
\(164\) 4.45586 + 5.89021i 0.347944 + 0.459948i
\(165\) −1.20272 + 9.20869i −0.0936320 + 0.716895i
\(166\) −4.15246 + 1.39371i −0.322293 + 0.108173i
\(167\) −10.7952 10.7952i −0.835357 0.835357i 0.152887 0.988244i \(-0.451143\pi\)
−0.988244 + 0.152887i \(0.951143\pi\)
\(168\) 5.73953 + 30.4908i 0.442814 + 2.35241i
\(169\) 1.00000i 0.0769231i
\(170\) −16.2781 10.9333i −1.24847 0.838549i
\(171\) 0.920589i 0.0703992i
\(172\) −12.5540 1.74045i −0.957233 0.132708i
\(173\) −8.75163 8.75163i −0.665374 0.665374i 0.291268 0.956642i \(-0.405923\pi\)
−0.956642 + 0.291268i \(0.905923\pi\)
\(174\) −3.58680 10.6866i −0.271915 0.810152i
\(175\) 15.1642 8.79666i 1.14631 0.664965i
\(176\) −5.10976 1.44457i −0.385163 0.108888i
\(177\) −8.36830 + 8.36830i −0.629000 + 0.629000i
\(178\) −3.50417 + 7.04475i −0.262649 + 0.528026i
\(179\) −10.6924 −0.799191 −0.399595 0.916692i \(-0.630849\pi\)
−0.399595 + 0.916692i \(0.630849\pi\)
\(180\) 29.2764 + 8.02788i 2.18214 + 0.598363i
\(181\) −5.27363 −0.391986 −0.195993 0.980605i \(-0.562793\pi\)
−0.195993 + 0.980605i \(0.562793\pi\)
\(182\) −2.20833 + 4.43960i −0.163692 + 0.329085i
\(183\) −26.2354 + 26.2354i −1.93938 + 1.93938i
\(184\) −2.05298 1.40252i −0.151348 0.103395i
\(185\) −20.5820 2.68817i −1.51322 0.197638i
\(186\) −4.69971 14.0025i −0.344600 1.02671i
\(187\) 5.82075 + 5.82075i 0.425655 + 0.425655i
\(188\) −0.264628 + 1.90879i −0.0193000 + 0.139213i
\(189\) 41.5530i 3.02253i
\(190\) −0.0826565 0.420823i −0.00599653 0.0305297i
\(191\) 9.08353i 0.657261i 0.944459 + 0.328631i \(0.106587\pi\)
−0.944459 + 0.328631i \(0.893413\pi\)
\(192\) −10.0518 + 22.9215i −0.725428 + 1.65422i
\(193\) 7.15737 + 7.15737i 0.515199 + 0.515199i 0.916115 0.400916i \(-0.131308\pi\)
−0.400916 + 0.916115i \(0.631308\pi\)
\(194\) 1.49627 0.502201i 0.107426 0.0360559i
\(195\) 4.26443 + 5.54571i 0.305382 + 0.397137i
\(196\) −8.44308 + 6.38707i −0.603077 + 0.456220i
\(197\) −3.65263 + 3.65263i −0.260239 + 0.260239i −0.825151 0.564912i \(-0.808910\pi\)
0.564912 + 0.825151i \(0.308910\pi\)
\(198\) −11.4102 5.67560i −0.810884 0.403347i
\(199\) 6.66227 0.472276 0.236138 0.971720i \(-0.424118\pi\)
0.236138 + 0.971720i \(0.424118\pi\)
\(200\) 14.1038 + 1.04111i 0.997287 + 0.0736172i
\(201\) 25.4530 1.79532
\(202\) −20.1754 10.0356i −1.41954 0.706101i
\(203\) 6.31653 6.31653i 0.443333 0.443333i
\(204\) 30.9436 23.4084i 2.16649 1.63892i
\(205\) 5.03358 + 6.54596i 0.351561 + 0.457190i
\(206\) 6.46502 2.16988i 0.450439 0.151183i
\(207\) −4.21933 4.21933i −0.293264 0.293264i
\(208\) −3.49121 + 1.95229i −0.242072 + 0.135367i
\(209\) 0.180035i 0.0124533i
\(210\) 6.68562 + 34.0380i 0.461352 + 2.34885i
\(211\) 9.87309i 0.679692i 0.940481 + 0.339846i \(0.110375\pi\)
−0.940481 + 0.339846i \(0.889625\pi\)
\(212\) −3.10363 + 22.3868i −0.213158 + 1.53753i
\(213\) 9.97941 + 9.97941i 0.683778 + 0.683778i
\(214\) 2.39400 + 7.13277i 0.163650 + 0.487586i
\(215\) −14.0507 1.83513i −0.958250 0.125155i
\(216\) −18.9088 + 27.6782i −1.28658 + 1.88327i
\(217\) 8.27641 8.27641i 0.561839 0.561839i
\(218\) −1.27087 + 2.55494i −0.0860740 + 0.173042i
\(219\) −15.4738 −1.04562
\(220\) −5.72545 1.56997i −0.386010 0.105848i
\(221\) 6.20093 0.417119
\(222\) 18.2916 36.7733i 1.22765 2.46806i
\(223\) 3.26129 3.26129i 0.218392 0.218392i −0.589429 0.807821i \(-0.700647\pi\)
0.807821 + 0.589429i \(0.200647\pi\)
\(224\) −19.8109 + 0.957657i −1.32367 + 0.0639862i
\(225\) 32.8018 + 8.71703i 2.18679 + 0.581135i
\(226\) 4.99208 + 14.8736i 0.332068 + 0.989376i
\(227\) −6.50040 6.50040i −0.431446 0.431446i 0.457674 0.889120i \(-0.348683\pi\)
−0.889120 + 0.457674i \(0.848683\pi\)
\(228\) 0.840551 + 0.116531i 0.0556668 + 0.00771747i
\(229\) 13.3363i 0.881290i −0.897681 0.440645i \(-0.854750\pi\)
0.897681 0.440645i \(-0.145250\pi\)
\(230\) −2.30760 1.54992i −0.152158 0.102199i
\(231\) 14.5620i 0.958111i
\(232\) 7.08176 1.33306i 0.464940 0.0875195i
\(233\) −0.823071 0.823071i −0.0539212 0.0539212i 0.679632 0.733553i \(-0.262139\pi\)
−0.733553 + 0.679632i \(0.762139\pi\)
\(234\) −9.10085 + 3.05455i −0.594941 + 0.199682i
\(235\) −0.279024 + 2.13636i −0.0182015 + 0.139360i
\(236\) −4.56427 6.03351i −0.297109 0.392748i
\(237\) 28.0507 28.0507i 1.82209 1.82209i
\(238\) 27.5296 + 13.6937i 1.78448 + 0.887630i
\(239\) −8.16814 −0.528353 −0.264177 0.964474i \(-0.585100\pi\)
−0.264177 + 0.964474i \(0.585100\pi\)
\(240\) −11.0358 + 25.7149i −0.712360 + 1.65989i
\(241\) −17.3321 −1.11646 −0.558231 0.829686i \(-0.688520\pi\)
−0.558231 + 0.829686i \(0.688520\pi\)
\(242\) −11.6970 5.81826i −0.751909 0.374012i
\(243\) −11.8343 + 11.8343i −0.759170 + 0.759170i
\(244\) −14.3094 18.9156i −0.916066 1.21095i
\(245\) −9.38304 + 7.21519i −0.599461 + 0.460961i
\(246\) −15.4899 + 5.19894i −0.987600 + 0.331472i
\(247\) 0.0958969 + 0.0958969i 0.00610177 + 0.00610177i
\(248\) 9.27908 1.74668i 0.589222 0.110914i
\(249\) 9.68988i 0.614071i
\(250\) 15.7772 + 1.03960i 0.997836 + 0.0657502i
\(251\) 1.59327i 0.100566i 0.998735 + 0.0502831i \(0.0160124\pi\)
−0.998735 + 0.0502831i \(0.983988\pi\)
\(252\) −47.1496 6.53667i −2.97015 0.411772i
\(253\) 0.825153 + 0.825153i 0.0518769 + 0.0518769i
\(254\) 9.17345 + 27.3317i 0.575593 + 1.71494i
\(255\) 34.3886 26.4434i 2.15349 1.65595i
\(256\) −13.6317 8.37711i −0.851983 0.523569i
\(257\) 9.75097 9.75097i 0.608249 0.608249i −0.334239 0.942488i \(-0.608479\pi\)
0.942488 + 0.334239i \(0.108479\pi\)
\(258\) 12.4871 25.1040i 0.777414 1.56291i
\(259\) 32.5470 2.02237
\(260\) −3.88596 + 2.21344i −0.240997 + 0.137272i
\(261\) 17.2943 1.07049
\(262\) 13.2283 26.5940i 0.817247 1.64299i
\(263\) 3.41329 3.41329i 0.210472 0.210472i −0.593996 0.804468i \(-0.702450\pi\)
0.804468 + 0.593996i \(0.202450\pi\)
\(264\) 6.62648 9.69970i 0.407832 0.596975i
\(265\) −3.27248 + 25.0558i −0.201027 + 1.53916i
\(266\) 0.213972 + 0.637516i 0.0131195 + 0.0390886i
\(267\) −12.3081 12.3081i −0.753243 0.753243i
\(268\) −2.23442 + 16.1171i −0.136489 + 0.984509i
\(269\) 0.814410i 0.0496555i 0.999692 + 0.0248277i \(0.00790372\pi\)
−0.999692 + 0.0248277i \(0.992096\pi\)
\(270\) −20.8960 + 31.1110i −1.27169 + 1.89335i
\(271\) 5.38145i 0.326900i −0.986552 0.163450i \(-0.947738\pi\)
0.986552 0.163450i \(-0.0522622\pi\)
\(272\) 12.1060 + 21.6487i 0.734035 + 1.31265i
\(273\) −7.75657 7.75657i −0.469449 0.469449i
\(274\) −8.49006 + 2.84955i −0.512903 + 0.172148i
\(275\) −6.41489 1.70475i −0.386832 0.102800i
\(276\) 4.38659 3.31839i 0.264042 0.199744i
\(277\) 2.08106 2.08106i 0.125039 0.125039i −0.641818 0.766857i \(-0.721820\pi\)
0.766857 + 0.641818i \(0.221820\pi\)
\(278\) 23.6438 + 11.7608i 1.41806 + 0.705367i
\(279\) 22.6604 1.35664
\(280\) −22.1401 + 1.24533i −1.32313 + 0.0744229i
\(281\) 31.3093 1.86776 0.933878 0.357592i \(-0.116402\pi\)
0.933878 + 0.357592i \(0.116402\pi\)
\(282\) −3.81696 1.89862i −0.227297 0.113061i
\(283\) −13.3242 + 13.3242i −0.792041 + 0.792041i −0.981826 0.189785i \(-0.939221\pi\)
0.189785 + 0.981826i \(0.439221\pi\)
\(284\) −7.19511 + 5.44300i −0.426951 + 0.322983i
\(285\) 0.940763 + 0.122871i 0.0557260 + 0.00727824i
\(286\) 1.77981 0.597364i 0.105242 0.0353229i
\(287\) −9.15557 9.15557i −0.540436 0.540436i
\(288\) −28.4316 25.8096i −1.67535 1.52084i
\(289\) 21.4515i 1.26185i
\(290\) 7.90565 1.55280i 0.464236 0.0911834i
\(291\) 3.49160i 0.204681i
\(292\) 1.35839 9.79816i 0.0794935 0.573394i
\(293\) −9.96476 9.96476i −0.582148 0.582148i 0.353345 0.935493i \(-0.385044\pi\)
−0.935493 + 0.353345i \(0.885044\pi\)
\(294\) −7.45220 22.2034i −0.434621 1.29493i
\(295\) −5.15605 6.70522i −0.300197 0.390393i
\(296\) 21.6794 + 14.8106i 1.26009 + 0.860849i
\(297\) 11.1247 11.1247i 0.645521 0.645521i
\(298\) −1.36202 + 2.73819i −0.0788998 + 0.158619i
\(299\) 0.879047 0.0508366
\(300\) −12.1113 + 28.8465i −0.699248 + 1.66546i
\(301\) 22.2189 1.28067
\(302\) −7.23927 + 14.5538i −0.416573 + 0.837474i
\(303\) 35.2491 35.2491i 2.02501 2.02501i
\(304\) −0.147577 + 0.522015i −0.00846415 + 0.0299396i
\(305\) −16.1647 21.0215i −0.925588 1.20369i
\(306\) 18.9411 + 56.4337i 1.08279 + 3.22610i
\(307\) −3.75196 3.75196i −0.214136 0.214136i 0.591886 0.806022i \(-0.298384\pi\)
−0.806022 + 0.591886i \(0.798384\pi\)
\(308\) 9.22081 + 1.27834i 0.525405 + 0.0728404i
\(309\) 15.0863i 0.858230i
\(310\) 10.3586 2.03460i 0.588329 0.115557i
\(311\) 11.3949i 0.646146i 0.946374 + 0.323073i \(0.104716\pi\)
−0.946374 + 0.323073i \(0.895284\pi\)
\(312\) −1.63697 8.69626i −0.0926751 0.492329i
\(313\) −13.6506 13.6506i −0.771575 0.771575i 0.206807 0.978382i \(-0.433693\pi\)
−0.978382 + 0.206807i \(0.933693\pi\)
\(314\) 6.19090 2.07788i 0.349373 0.117261i
\(315\) −52.7709 6.89227i −2.97330 0.388336i
\(316\) 15.2995 + 20.2245i 0.860666 + 1.13772i
\(317\) −13.2138 + 13.2138i −0.742160 + 0.742160i −0.972993 0.230833i \(-0.925855\pi\)
0.230833 + 0.972993i \(0.425855\pi\)
\(318\) −44.7664 22.2676i −2.51038 1.24870i
\(319\) −3.38216 −0.189365
\(320\) −15.3141 9.24541i −0.856086 0.516834i
\(321\) −16.6445 −0.929005
\(322\) 3.90262 + 1.94123i 0.217485 + 0.108180i
\(323\) 0.594649 0.594649i 0.0330872 0.0330872i
\(324\) −20.1669 26.6586i −1.12038 1.48103i
\(325\) −4.32498 + 2.50889i −0.239907 + 0.139168i
\(326\) −30.3313 + 10.1802i −1.67989 + 0.563829i
\(327\) −4.46381 4.46381i −0.246849 0.246849i
\(328\) −1.93222 10.2647i −0.106689 0.566776i
\(329\) 3.37829i 0.186251i
\(330\) 7.32288 10.9027i 0.403111 0.600173i
\(331\) 14.3131i 0.786717i 0.919385 + 0.393358i \(0.128687\pi\)
−0.919385 + 0.393358i \(0.871313\pi\)
\(332\) 6.13572 + 0.850637i 0.336742 + 0.0466848i
\(333\) 44.5560 + 44.5560i 2.44166 + 2.44166i
\(334\) 6.86985 + 20.4683i 0.375901 + 1.11997i
\(335\) −2.35598 + 18.0386i −0.128721 + 0.985555i
\(336\) 11.9367 42.2229i 0.651201 2.30345i
\(337\) −16.1524 + 16.1524i −0.879878 + 0.879878i −0.993522 0.113644i \(-0.963748\pi\)
0.113644 + 0.993522i \(0.463748\pi\)
\(338\) 0.629837 1.26622i 0.0342586 0.0688731i
\(339\) −34.7079 −1.88507
\(340\) 13.7254 + 24.0965i 0.744364 + 1.30682i
\(341\) −4.43158 −0.239983
\(342\) −0.579821 + 1.16566i −0.0313531 + 0.0630319i
\(343\) −4.23109 + 4.23109i −0.228458 + 0.228458i
\(344\) 14.7999 + 10.1108i 0.797956 + 0.545135i
\(345\) 4.87494 3.74864i 0.262458 0.201820i
\(346\) 5.56936 + 16.5936i 0.299411 + 0.892075i
\(347\) 21.6981 + 21.6981i 1.16481 + 1.16481i 0.983409 + 0.181404i \(0.0580641\pi\)
0.181404 + 0.983409i \(0.441936\pi\)
\(348\) −2.18917 + 15.7907i −0.117352 + 0.846471i
\(349\) 16.4301i 0.879483i −0.898124 0.439742i \(-0.855070\pi\)
0.898124 0.439742i \(-0.144930\pi\)
\(350\) −24.7417 + 1.58749i −1.32250 + 0.0848549i
\(351\) 11.8513i 0.632576i
\(352\) 5.56023 + 5.04745i 0.296361 + 0.269030i
\(353\) −10.5205 10.5205i −0.559948 0.559948i 0.369345 0.929292i \(-0.379582\pi\)
−0.929292 + 0.369345i \(0.879582\pi\)
\(354\) 15.8668 5.32542i 0.843309 0.283043i
\(355\) −7.99614 + 6.14871i −0.424391 + 0.326340i
\(356\) 8.87408 6.71312i 0.470325 0.355795i
\(357\) −48.0979 + 48.0979i −2.54561 + 2.54561i
\(358\) 13.5390 + 6.73450i 0.715556 + 0.355929i
\(359\) −6.26986 −0.330910 −0.165455 0.986217i \(-0.552909\pi\)
−0.165455 + 0.986217i \(0.552909\pi\)
\(360\) −32.0141 28.6044i −1.68729 1.50759i
\(361\) −18.9816 −0.999032
\(362\) 6.67756 + 3.32153i 0.350965 + 0.174576i
\(363\) 20.4361 20.4361i 1.07262 1.07262i
\(364\) 5.59245 4.23061i 0.293124 0.221744i
\(365\) 1.43228 10.9663i 0.0749692 0.574003i
\(366\) 49.7438 16.6957i 2.60015 0.872698i
\(367\) −10.4070 10.4070i −0.543240 0.543240i 0.381238 0.924477i \(-0.375498\pi\)
−0.924477 + 0.381238i \(0.875498\pi\)
\(368\) 1.71616 + 3.06894i 0.0894609 + 0.159980i
\(369\) 25.0675i 1.30496i
\(370\) 24.3682 + 16.3671i 1.26684 + 0.850885i
\(371\) 39.6216i 2.05705i
\(372\) −2.86843 + 20.6902i −0.148721 + 1.07274i
\(373\) −4.94834 4.94834i −0.256215 0.256215i 0.567298 0.823513i \(-0.307989\pi\)
−0.823513 + 0.567298i \(0.807989\pi\)
\(374\) −3.70421 11.0365i −0.191540 0.570681i
\(375\) −13.2861 + 32.3572i −0.686092 + 1.67092i
\(376\) 1.53730 2.25027i 0.0792803 0.116049i
\(377\) −1.80153 + 1.80153i −0.0927837 + 0.0927837i
\(378\) 26.1716 52.6151i 1.34612 2.70623i
\(379\) 23.0953 1.18633 0.593164 0.805082i \(-0.297879\pi\)
0.593164 + 0.805082i \(0.297879\pi\)
\(380\) −0.160389 + 0.584914i −0.00822778 + 0.0300054i
\(381\) −63.7793 −3.26751
\(382\) 5.72114 11.5017i 0.292719 0.588479i
\(383\) 24.4550 24.4550i 1.24959 1.24959i 0.293694 0.955899i \(-0.405115\pi\)
0.955899 0.293694i \(-0.0948847\pi\)
\(384\) 27.1646 22.6926i 1.38624 1.15803i
\(385\) 10.3201 + 1.34789i 0.525963 + 0.0686947i
\(386\) −4.55481 13.5708i −0.231834 0.690734i
\(387\) 30.4170 + 30.4170i 1.54619 + 1.54619i
\(388\) −2.21091 0.306514i −0.112242 0.0155609i
\(389\) 7.99677i 0.405453i −0.979235 0.202726i \(-0.935020\pi\)
0.979235 0.202726i \(-0.0649802\pi\)
\(390\) −1.90680 9.70797i −0.0965548 0.491582i
\(391\) 5.45091i 0.275664i
\(392\) 14.7136 2.76966i 0.743148 0.139889i
\(393\) 46.4633 + 46.4633i 2.34376 + 2.34376i
\(394\) 6.92558 2.32446i 0.348906 0.117105i
\(395\) 17.2832 + 22.4760i 0.869611 + 1.13089i
\(396\) 10.8730 + 14.3731i 0.546390 + 0.722274i
\(397\) 21.6665 21.6665i 1.08741 1.08741i 0.0916143 0.995795i \(-0.470797\pi\)
0.995795 0.0916143i \(-0.0292027\pi\)
\(398\) −8.43588 4.19614i −0.422852 0.210334i
\(399\) −1.48766 −0.0744762
\(400\) −17.2027 10.2013i −0.860135 0.510067i
\(401\) −15.6161 −0.779829 −0.389915 0.920851i \(-0.627495\pi\)
−0.389915 + 0.920851i \(0.627495\pi\)
\(402\) −32.2291 16.0313i −1.60744 0.799567i
\(403\) −2.36051 + 2.36051i −0.117585 + 0.117585i
\(404\) 19.2257 + 25.4145i 0.956514 + 1.26442i
\(405\) −22.7816 29.6265i −1.13203 1.47215i
\(406\) −11.9765 + 4.01971i −0.594382 + 0.199495i
\(407\) −8.71360 8.71360i −0.431917 0.431917i
\(408\) −53.9248 + 10.1507i −2.66968 + 0.502535i
\(409\) 8.44385i 0.417521i 0.977967 + 0.208761i \(0.0669430\pi\)
−0.977967 + 0.208761i \(0.933057\pi\)
\(410\) −2.25072 11.4589i −0.111155 0.565917i
\(411\) 19.8118i 0.977243i
\(412\) −9.55279 1.32437i −0.470632 0.0652470i
\(413\) 9.37832 + 9.37832i 0.461477 + 0.461477i
\(414\) 2.68510 + 8.00007i 0.131965 + 0.393182i
\(415\) 6.86723 + 0.896913i 0.337099 + 0.0440277i
\(416\) 5.65026 0.273133i 0.277027 0.0133914i
\(417\) −41.3089 + 41.3089i −2.02290 + 2.02290i
\(418\) 0.113393 0.227963i 0.00554622 0.0111501i
\(419\) 18.9187 0.924238 0.462119 0.886818i \(-0.347089\pi\)
0.462119 + 0.886818i \(0.347089\pi\)
\(420\) 12.9730 47.3104i 0.633016 2.30851i
\(421\) 18.8621 0.919280 0.459640 0.888105i \(-0.347978\pi\)
0.459640 + 0.888105i \(0.347978\pi\)
\(422\) 6.21844 12.5015i 0.302709 0.608563i
\(423\) 4.62480 4.62480i 0.224865 0.224865i
\(424\) 18.0299 26.3918i 0.875610 1.28170i
\(425\) 15.5574 + 26.8189i 0.754647 + 1.30091i
\(426\) −6.35070 18.9215i −0.307692 0.916750i
\(427\) 29.4019 + 29.4019i 1.42286 + 1.42286i
\(428\) 1.46116 10.5395i 0.0706277 0.509444i
\(429\) 4.15323i 0.200520i
\(430\) 16.6354 + 11.1733i 0.802231 + 0.538825i
\(431\) 2.12748i 0.102477i −0.998686 0.0512386i \(-0.983683\pi\)
0.998686 0.0512386i \(-0.0163169\pi\)
\(432\) 41.3754 23.1372i 1.99067 1.11319i
\(433\) −3.83254 3.83254i −0.184180 0.184180i 0.608994 0.793175i \(-0.291573\pi\)
−0.793175 + 0.608994i \(0.791573\pi\)
\(434\) −15.6925 + 5.26694i −0.753265 + 0.252821i
\(435\) −2.30827 + 17.6733i −0.110673 + 0.847370i
\(436\) 3.21839 2.43467i 0.154133 0.116599i
\(437\) 0.0842979 0.0842979i 0.00403252 0.00403252i
\(438\) 19.5932 + 9.74597i 0.936199 + 0.465681i
\(439\) 14.4981 0.691955 0.345978 0.938243i \(-0.387547\pi\)
0.345978 + 0.938243i \(0.387547\pi\)
\(440\) 6.26083 + 5.59402i 0.298474 + 0.266685i
\(441\) 35.9319 1.71105
\(442\) −7.85172 3.90557i −0.373468 0.185769i
\(443\) 2.81674 2.81674i 0.133827 0.133827i −0.637020 0.770847i \(-0.719833\pi\)
0.770847 + 0.637020i \(0.219833\pi\)
\(444\) −46.3223 + 35.0422i −2.19836 + 1.66303i
\(445\) 9.86203 7.58351i 0.467505 0.359493i
\(446\) −6.18358 + 2.07542i −0.292801 + 0.0982739i
\(447\) −4.78398 4.78398i −0.226275 0.226275i
\(448\) 25.6881 + 11.2650i 1.21365 + 0.532223i
\(449\) 24.0157i 1.13337i −0.823934 0.566686i \(-0.808225\pi\)
0.823934 0.566686i \(-0.191775\pi\)
\(450\) −36.0439 31.6974i −1.69913 1.49423i
\(451\) 4.90232i 0.230841i
\(452\) 3.04687 21.9774i 0.143313 1.03373i
\(453\) −25.4273 25.4273i −1.19468 1.19468i
\(454\) 4.13672 + 12.3251i 0.194146 + 0.578446i
\(455\) 6.21506 4.77913i 0.291366 0.224049i
\(456\) −0.990924 0.676964i −0.0464043 0.0317017i
\(457\) −20.4343 + 20.4343i −0.955877 + 0.955877i −0.999067 0.0431895i \(-0.986248\pi\)
0.0431895 + 0.999067i \(0.486248\pi\)
\(458\) −8.39972 + 16.8867i −0.392493 + 0.789064i
\(459\) −73.4890 −3.43017
\(460\) 1.94572 + 3.41594i 0.0907197 + 0.159269i
\(461\) 1.23760 0.0576406 0.0288203 0.999585i \(-0.490825\pi\)
0.0288203 + 0.999585i \(0.490825\pi\)
\(462\) −9.17170 + 18.4387i −0.426706 + 0.857845i
\(463\) −21.8154 + 21.8154i −1.01385 + 1.01385i −0.0139434 + 0.999903i \(0.504438\pi\)
−0.999903 + 0.0139434i \(0.995562\pi\)
\(464\) −9.80665 2.77241i −0.455262 0.128706i
\(465\) −3.02448 + 23.1570i −0.140257 + 1.07388i
\(466\) 0.523786 + 1.56059i 0.0242639 + 0.0722928i
\(467\) 12.6950 + 12.6950i 0.587455 + 0.587455i 0.936941 0.349487i \(-0.113644\pi\)
−0.349487 + 0.936941i \(0.613644\pi\)
\(468\) 13.4475 + 1.86432i 0.621612 + 0.0861783i
\(469\) 28.5251i 1.31717i
\(470\) 1.69886 2.52935i 0.0783626 0.116670i
\(471\) 14.4466i 0.665665i
\(472\) 1.97923 + 10.5145i 0.0911013 + 0.483968i
\(473\) −5.94851 5.94851i −0.273513 0.273513i
\(474\) −53.1857 + 17.8509i −2.44290 + 0.819921i
\(475\) −0.174157 + 0.655347i −0.00799089 + 0.0300694i
\(476\) −26.2337 34.6784i −1.20242 1.58948i
\(477\) 54.2409 54.2409i 2.48352 2.48352i
\(478\) 10.3426 + 5.14460i 0.473061 + 0.235308i
\(479\) −36.2989 −1.65854 −0.829269 0.558850i \(-0.811243\pi\)
−0.829269 + 0.558850i \(0.811243\pi\)
\(480\) 30.1699 25.6099i 1.37706 1.16892i
\(481\) −9.28273 −0.423256
\(482\) 21.9463 + 10.9164i 0.999625 + 0.497230i
\(483\) −6.81839 + 6.81839i −0.310247 + 0.310247i
\(484\) 11.1463 + 14.7344i 0.506652 + 0.669743i
\(485\) −2.47450 0.323189i −0.112361 0.0146752i
\(486\) 22.4385 7.53111i 1.01783 0.341618i
\(487\) −16.4587 16.4587i −0.745816 0.745816i 0.227874 0.973691i \(-0.426823\pi\)
−0.973691 + 0.227874i \(0.926823\pi\)
\(488\) 6.20506 + 32.9639i 0.280890 + 1.49221i
\(489\) 70.7788i 3.20073i
\(490\) 16.4254 3.22621i 0.742022 0.145745i
\(491\) 21.7615i 0.982081i −0.871137 0.491040i \(-0.836617\pi\)
0.871137 0.491040i \(-0.163383\pi\)
\(492\) 22.8881 + 3.17313i 1.03187 + 0.143056i
\(493\) 11.1712 + 11.1712i 0.503124 + 0.503124i
\(494\) −0.0610269 0.181826i −0.00274573 0.00818072i
\(495\) 12.2828 + 15.9732i 0.552069 + 0.717943i
\(496\) −12.8495 3.63263i −0.576957 0.163110i
\(497\) 11.1839 11.1839i 0.501665 0.501665i
\(498\) −6.10304 + 12.2695i −0.273484 + 0.549809i
\(499\) 37.8103 1.69262 0.846310 0.532690i \(-0.178819\pi\)
0.846310 + 0.532690i \(0.178819\pi\)
\(500\) −19.3225 11.2534i −0.864131 0.503268i
\(501\) −47.7633 −2.13390
\(502\) 1.00350 2.01742i 0.0447884 0.0900421i
\(503\) −6.85634 + 6.85634i −0.305709 + 0.305709i −0.843242 0.537533i \(-0.819356\pi\)
0.537533 + 0.843242i \(0.319356\pi\)
\(504\) 55.5846 + 37.9734i 2.47593 + 1.69147i
\(505\) 21.7184 + 28.2438i 0.966456 + 1.25683i
\(506\) −0.525111 1.56453i −0.0233440 0.0695521i
\(507\) 2.21225 + 2.21225i 0.0982493 + 0.0982493i
\(508\) 5.59894 40.3857i 0.248413 1.79182i
\(509\) 2.43094i 0.107749i 0.998548 + 0.0538747i \(0.0171572\pi\)
−0.998548 + 0.0538747i \(0.982843\pi\)
\(510\) −60.1984 + 11.8239i −2.66563 + 0.523573i
\(511\) 17.3414i 0.767139i
\(512\) 11.9845 + 19.1930i 0.529646 + 0.848219i
\(513\) −1.13650 1.13650i −0.0501778 0.0501778i
\(514\) −18.4884 + 6.20532i −0.815487 + 0.273705i
\(515\) −10.6917 1.39642i −0.471132 0.0615335i
\(516\) −31.6228 + 23.9222i −1.39212 + 1.05312i
\(517\) −0.904448 + 0.904448i −0.0397776 + 0.0397776i
\(518\) −41.2116 20.4993i −1.81073 0.900689i
\(519\) −38.7215 −1.69969
\(520\) 6.31457 0.355181i 0.276912 0.0155757i
\(521\) 29.6911 1.30079 0.650395 0.759596i \(-0.274603\pi\)
0.650395 + 0.759596i \(0.274603\pi\)
\(522\) −21.8984 10.8926i −0.958465 0.476756i
\(523\) 0.894603 0.894603i 0.0391183 0.0391183i −0.687277 0.726395i \(-0.741194\pi\)
0.726395 + 0.687277i \(0.241194\pi\)
\(524\) −33.4998 + 25.3421i −1.46345 + 1.10708i
\(525\) 14.0866 53.0074i 0.614791 2.31343i
\(526\) −6.47178 + 2.17215i −0.282183 + 0.0947102i
\(527\) 14.6374 + 14.6374i 0.637613 + 0.637613i
\(528\) −14.4998 + 8.10832i −0.631023 + 0.352869i
\(529\) 22.2273i 0.966403i
\(530\) 19.9247 29.6649i 0.865475 1.28856i
\(531\) 25.6773i 1.11430i
\(532\) 0.130596 0.942001i 0.00566206 0.0408409i
\(533\) 2.61126 + 2.61126i 0.113106 + 0.113106i
\(534\) 7.83262 + 23.3368i 0.338951 + 1.00988i
\(535\) 1.54065 11.7960i 0.0666079 0.509985i
\(536\) 12.9804 19.0004i 0.560669 0.820694i
\(537\) −23.6543 + 23.6543i −1.02076 + 1.02076i
\(538\) 0.512945 1.03122i 0.0221146 0.0444590i
\(539\) −7.02703 −0.302676
\(540\) 46.0537 26.2322i 1.98183 1.12885i
\(541\) 11.2665 0.484383 0.242192 0.970228i \(-0.422134\pi\)
0.242192 + 0.970228i \(0.422134\pi\)
\(542\) −3.38943 + 6.81408i −0.145589 + 0.292690i
\(543\) −11.6666 + 11.6666i −0.500660 + 0.500660i
\(544\) −1.69368 35.0368i −0.0726158 1.50219i
\(545\) 3.57669 2.75033i 0.153209 0.117811i
\(546\) 4.93612 + 14.7069i 0.211247 + 0.629396i
\(547\) 14.6898 + 14.6898i 0.628091 + 0.628091i 0.947587 0.319497i \(-0.103514\pi\)
−0.319497 + 0.947587i \(0.603514\pi\)
\(548\) 12.5450 + 1.73920i 0.535896 + 0.0742950i
\(549\) 80.5009i 3.43569i
\(550\) 7.04893 + 6.19891i 0.300567 + 0.264323i
\(551\) 0.345523i 0.0147198i
\(552\) −7.64442 + 1.43897i −0.325368 + 0.0612467i
\(553\) −31.4363 31.4363i −1.33681 1.33681i
\(554\) −3.94580 + 1.32435i −0.167641 + 0.0562660i
\(555\) −51.4793 + 39.5856i −2.18518 + 1.68031i
\(556\) −22.5308 29.7835i −0.955520 1.26310i
\(557\) −22.2763 + 22.2763i −0.943878 + 0.943878i −0.998507 0.0546285i \(-0.982603\pi\)
0.0546285 + 0.998507i \(0.482603\pi\)
\(558\) −28.6930 14.2723i −1.21467 0.604196i
\(559\) −6.33703 −0.268028
\(560\) 28.8186 + 12.3678i 1.21781 + 0.522635i
\(561\) 25.7539 1.08733
\(562\) −39.6444 19.7197i −1.67230 0.831827i
\(563\) −8.60324 + 8.60324i −0.362583 + 0.362583i −0.864763 0.502180i \(-0.832532\pi\)
0.502180 + 0.864763i \(0.332532\pi\)
\(564\) 3.63728 + 4.80813i 0.153157 + 0.202459i
\(565\) 3.21263 24.5976i 0.135156 1.03483i
\(566\) 25.2634 8.47925i 1.06190 0.356409i
\(567\) 41.4374 + 41.4374i 1.74021 + 1.74021i
\(568\) 12.5388 2.36028i 0.526115 0.0990350i
\(569\) 11.6798i 0.489641i 0.969568 + 0.244820i \(0.0787290\pi\)
−0.969568 + 0.244820i \(0.921271\pi\)
\(570\) −1.11382 0.748108i −0.0466528 0.0313348i
\(571\) 28.7228i 1.20201i −0.799244 0.601006i \(-0.794767\pi\)
0.799244 0.601006i \(-0.205233\pi\)
\(572\) −2.62986 0.364596i −0.109960 0.0152445i
\(573\) 20.0950 + 20.0950i 0.839481 + 0.839481i
\(574\) 5.82642 + 17.3595i 0.243190 + 0.724570i
\(575\) 2.20543 + 3.80186i 0.0919729 + 0.158549i
\(576\) 19.7447 + 50.5878i 0.822698 + 2.10783i
\(577\) 15.5910 15.5910i 0.649061 0.649061i −0.303705 0.952766i \(-0.598224\pi\)
0.952766 + 0.303705i \(0.0982236\pi\)
\(578\) −13.5109 + 27.1622i −0.561981 + 1.12980i
\(579\) 31.6677 1.31607
\(580\) −10.9883 3.01309i −0.456263 0.125112i
\(581\) −10.8594 −0.450524
\(582\) 2.19914 4.42112i 0.0911571 0.183261i
\(583\) −10.6076 + 10.6076i −0.439323 + 0.439323i
\(584\) −7.89126 + 11.5510i −0.326542 + 0.477985i
\(585\) 15.0507 + 1.96574i 0.622272 + 0.0812734i
\(586\) 6.34138 + 18.8937i 0.261960 + 0.780493i
\(587\) −14.7415 14.7415i −0.608445 0.608445i 0.334095 0.942540i \(-0.391569\pi\)
−0.942540 + 0.334095i \(0.891569\pi\)
\(588\) −4.54839 + 32.8080i −0.187572 + 1.35298i
\(589\) 0.452731i 0.0186545i
\(590\) 2.30548 + 11.7377i 0.0949152 + 0.483235i
\(591\) 16.1610i 0.664776i
\(592\) −18.1226 32.4080i −0.744834 1.33196i
\(593\) 19.9137 + 19.9137i 0.817758 + 0.817758i 0.985783 0.168025i \(-0.0537389\pi\)
−0.168025 + 0.985783i \(0.553739\pi\)
\(594\) −21.0930 + 7.07954i −0.865458 + 0.290477i
\(595\) −29.6350 38.5391i −1.21492 1.57995i
\(596\) 3.44923 2.60930i 0.141286 0.106881i
\(597\) 14.7386 14.7386i 0.603210 0.603210i
\(598\) −1.11306 0.553656i −0.0455166 0.0226407i
\(599\) 8.74117 0.357155 0.178577 0.983926i \(-0.442851\pi\)
0.178577 + 0.983926i \(0.442851\pi\)
\(600\) 33.5042 28.8978i 1.36780 1.17975i
\(601\) 18.7621 0.765321 0.382661 0.923889i \(-0.375008\pi\)
0.382661 + 0.923889i \(0.375008\pi\)
\(602\) −28.1339 13.9943i −1.14665 0.570364i
\(603\) 39.0501 39.0501i 1.59024 1.59024i
\(604\) 18.3330 13.8686i 0.745958 0.564307i
\(605\) 12.5915 + 16.3747i 0.511918 + 0.665727i
\(606\) −66.8342 + 22.4318i −2.71495 + 0.911231i
\(607\) 5.46201 + 5.46201i 0.221696 + 0.221696i 0.809212 0.587516i \(-0.199894\pi\)
−0.587516 + 0.809212i \(0.699894\pi\)
\(608\) 0.515649 0.568035i 0.0209123 0.0230368i
\(609\) 27.9474i 1.13249i
\(610\) 7.22790 + 36.7989i 0.292649 + 1.48994i
\(611\) 0.963522i 0.0389799i
\(612\) 11.5605 83.3870i 0.467306 3.37072i
\(613\) −4.77650 4.77650i −0.192921 0.192921i 0.604036 0.796957i \(-0.293558\pi\)
−0.796957 + 0.604036i \(0.793558\pi\)
\(614\) 2.38767 + 7.11392i 0.0963586 + 0.287094i
\(615\) 25.6168 + 3.34575i 1.03297 + 0.134914i
\(616\) −10.8704 7.42627i −0.437981 0.299213i
\(617\) −21.1816 + 21.1816i −0.852740 + 0.852740i −0.990470 0.137730i \(-0.956019\pi\)
0.137730 + 0.990470i \(0.456019\pi\)
\(618\) 9.50191 19.1025i 0.382223 0.768417i
\(619\) 15.8026 0.635159 0.317579 0.948232i \(-0.397130\pi\)
0.317579 + 0.948232i \(0.397130\pi\)
\(620\) −14.3977 3.94799i −0.578226 0.158555i
\(621\) −10.4179 −0.418054
\(622\) 7.17693 14.4284i 0.287769 0.578527i
\(623\) −13.7936 + 13.7936i −0.552630 + 0.552630i
\(624\) −3.40447 + 12.0424i −0.136288 + 0.482081i
\(625\) −21.7018 12.4109i −0.868073 0.496437i
\(626\) 8.68694 + 25.8822i 0.347200 + 1.03446i
\(627\) 0.398282 + 0.398282i 0.0159058 + 0.0159058i
\(628\) −9.14774 1.26821i −0.365035 0.0506072i
\(629\) 57.5615i 2.29513i
\(630\) 62.4783 + 41.9641i 2.48920 + 1.67189i
\(631\) 33.2454i 1.32348i 0.749734 + 0.661739i \(0.230181\pi\)
−0.749734 + 0.661739i \(0.769819\pi\)
\(632\) −6.63441 35.2448i −0.263903 1.40196i
\(633\) 21.8417 + 21.8417i 0.868130 + 0.868130i
\(634\) 25.0540 8.40899i 0.995023 0.333964i
\(635\) 5.90353 45.2005i 0.234274 1.79373i
\(636\) 42.6591 + 56.3911i 1.69154 + 2.23605i
\(637\) −3.74300 + 3.74300i −0.148303 + 0.148303i
\(638\) 4.28255 + 2.13021i 0.169548 + 0.0843359i
\(639\) 30.6209 1.21134
\(640\) 13.5679 + 21.3521i 0.536319 + 0.844016i
\(641\) −3.03323 −0.119805 −0.0599026 0.998204i \(-0.519079\pi\)
−0.0599026 + 0.998204i \(0.519079\pi\)
\(642\) 21.0756 + 10.4833i 0.831786 + 0.413744i
\(643\) −26.6548 + 26.6548i −1.05116 + 1.05116i −0.0525441 + 0.998619i \(0.516733\pi\)
−0.998619 + 0.0525441i \(0.983267\pi\)
\(644\) −3.71891 4.91603i −0.146546 0.193719i
\(645\) −35.1434 + 27.0239i −1.38377 + 1.06406i
\(646\) −1.12749 + 0.378423i −0.0443604 + 0.0148889i
\(647\) 12.5256 + 12.5256i 0.492433 + 0.492433i 0.909072 0.416639i \(-0.136792\pi\)
−0.416639 + 0.909072i \(0.636792\pi\)
\(648\) 8.74506 + 46.4574i 0.343538 + 1.82502i
\(649\) 5.02159i 0.197115i
\(650\) 7.05656 0.452767i 0.276781 0.0177590i
\(651\) 36.6189i 1.43521i
\(652\) 44.8178 + 6.21340i 1.75520 + 0.243336i
\(653\) −30.1826 30.1826i −1.18114 1.18114i −0.979450 0.201685i \(-0.935358\pi\)
−0.201685 0.979450i \(-0.564642\pi\)
\(654\) 2.84068 + 8.46362i 0.111079 + 0.330954i
\(655\) −37.2293 + 28.6279i −1.45467 + 1.11858i
\(656\) −4.01851 + 14.2144i −0.156896 + 0.554978i
\(657\) −23.7399 + 23.7399i −0.926184 + 0.926184i
\(658\) −2.12777 + 4.27765i −0.0829493 + 0.166760i
\(659\) 11.6711 0.454642 0.227321 0.973820i \(-0.427003\pi\)
0.227321 + 0.973820i \(0.427003\pi\)
\(660\) −16.1393 + 9.19294i −0.628220 + 0.357835i
\(661\) 5.29802 0.206069 0.103035 0.994678i \(-0.467145\pi\)
0.103035 + 0.994678i \(0.467145\pi\)
\(662\) 9.01489 18.1234i 0.350374 0.704387i
\(663\) 13.7180 13.7180i 0.532762 0.532762i
\(664\) −7.23339 4.94160i −0.280710 0.191771i
\(665\) 0.137701 1.05431i 0.00533980 0.0408843i
\(666\) −28.3546 84.4807i −1.09872 3.27356i
\(667\) 1.58363 + 1.58363i 0.0613185 + 0.0613185i
\(668\) 4.19295 30.2442i 0.162230 1.17018i
\(669\) 14.4295i 0.557878i
\(670\) 14.3446 21.3569i 0.554179 0.825090i
\(671\) 15.7432i 0.607758i
\(672\) −41.7080 + 45.9452i −1.60892 + 1.77237i
\(673\) 2.21557 + 2.21557i 0.0854038 + 0.0854038i 0.748518 0.663114i \(-0.230766\pi\)
−0.663114 + 0.748518i \(0.730766\pi\)
\(674\) 30.6258 10.2791i 1.17966 0.395935i
\(675\) 51.2567 29.7336i 1.97287 1.14445i
\(676\) −1.59502 + 1.20661i −0.0613469 + 0.0464081i
\(677\) 13.6763 13.6763i 0.525623 0.525623i −0.393641 0.919264i \(-0.628785\pi\)
0.919264 + 0.393641i \(0.128785\pi\)
\(678\) 43.9477 + 21.8603i 1.68780 + 0.839540i
\(679\) 3.91302 0.150168
\(680\) −2.20245 39.1562i −0.0844601 1.50157i
\(681\) −28.7610 −1.10212
\(682\) 5.61134 + 2.79117i 0.214869 + 0.106879i
\(683\) 19.4605 19.4605i 0.744634 0.744634i −0.228832 0.973466i \(-0.573491\pi\)
0.973466 + 0.228832i \(0.0734905\pi\)
\(684\) 1.46836 1.11079i 0.0561441 0.0424722i
\(685\) 14.0406 + 1.83382i 0.536466 + 0.0700665i
\(686\) 8.02238 2.69258i 0.306296 0.102803i
\(687\) −29.5033 29.5033i −1.12562 1.12562i
\(688\) −12.3717 22.1239i −0.471668 0.843466i
\(689\) 11.3005i 0.430513i
\(690\) −8.53377 + 1.67617i −0.324875 + 0.0638107i
\(691\) 44.9970i 1.71177i −0.517169 0.855884i \(-0.673014\pi\)
0.517169 0.855884i \(-0.326986\pi\)
\(692\) 3.39921 24.5188i 0.129219 0.932066i
\(693\) −22.3411 22.3411i −0.848668 0.848668i
\(694\) −13.8082 41.1407i −0.524152 1.56168i
\(695\) −25.4520 33.0993i −0.965451 1.25553i
\(696\) 12.7175 18.6156i 0.482057 0.705624i
\(697\) 16.1922 16.1922i 0.613323 0.613323i
\(698\) −10.3483 + 20.8041i −0.391688 + 0.787446i
\(699\) −3.64167 −0.137741
\(700\) 32.3282 + 13.5731i 1.22189 + 0.513015i
\(701\) −30.8529 −1.16530 −0.582648 0.812725i \(-0.697983\pi\)
−0.582648 + 0.812725i \(0.697983\pi\)
\(702\) −7.46439 + 15.0063i −0.281725 + 0.566377i
\(703\) −0.890185 + 0.890185i −0.0335739 + 0.0335739i
\(704\) −3.86138 9.89321i −0.145531 0.372864i
\(705\) 4.10887 + 5.34342i 0.154749 + 0.201245i
\(706\) 6.69502 + 19.9474i 0.251970 + 0.750729i
\(707\) −39.5035 39.5035i −1.48568 1.48568i
\(708\) −23.4449 3.25033i −0.881113 0.122155i
\(709\) 29.0128i 1.08960i 0.838567 + 0.544799i \(0.183394\pi\)
−0.838567 + 0.544799i \(0.816606\pi\)
\(710\) 13.9975 2.74934i 0.525318 0.103181i
\(711\) 86.0710i 3.22792i
\(712\) −15.4647 + 2.91105i −0.579564 + 0.109096i
\(713\) 2.07500 + 2.07500i 0.0777094 + 0.0777094i
\(714\) 91.1962 30.6085i 3.41293 1.14550i
\(715\) −2.94340 0.384430i −0.110077 0.0143769i
\(716\) −12.9016 17.0547i −0.482156 0.637363i
\(717\) −18.0699 + 18.0699i −0.674834 + 0.674834i
\(718\) 7.93900 + 3.94899i 0.296281 + 0.147375i
\(719\) −11.0483 −0.412031 −0.206015 0.978549i \(-0.566050\pi\)
−0.206015 + 0.978549i \(0.566050\pi\)
\(720\) 22.5206 + 56.3830i 0.839295 + 2.10127i
\(721\) 16.9071 0.629655
\(722\) 24.0348 + 11.9553i 0.894484 + 0.444931i
\(723\) −38.3430 + 38.3430i −1.42599 + 1.42599i
\(724\) −6.36322 8.41155i −0.236487 0.312613i
\(725\) −12.3114 3.27175i −0.457236 0.121510i
\(726\) −38.7480 + 13.0051i −1.43807 + 0.482666i
\(727\) 25.4507 + 25.4507i 0.943914 + 0.943914i 0.998509 0.0545947i \(-0.0173867\pi\)
−0.0545947 + 0.998509i \(0.517387\pi\)
\(728\) −9.74585 + 1.83454i −0.361205 + 0.0679927i
\(729\) 2.21979i 0.0822146i
\(730\) −8.72057 + 12.9836i −0.322763 + 0.480546i
\(731\) 39.2955i 1.45340i
\(732\) −73.5020 10.1901i −2.71671 0.376636i
\(733\) −28.6191 28.6191i −1.05707 1.05707i −0.998270 0.0587996i \(-0.981273\pi\)
−0.0587996 0.998270i \(-0.518727\pi\)
\(734\) 6.62279 + 19.7322i 0.244452 + 0.728328i
\(735\) −4.79583 + 36.7194i −0.176897 + 1.35441i
\(736\) −0.240097 4.96684i −0.00885008 0.183080i
\(737\) −7.63684 + 7.63684i −0.281306 + 0.281306i
\(738\) −15.7884 + 31.7409i −0.581180 + 1.16840i
\(739\) −15.7301 −0.578643 −0.289321 0.957232i \(-0.593430\pi\)
−0.289321 + 0.957232i \(0.593430\pi\)
\(740\) −20.5468 36.0723i −0.755315 1.32604i
\(741\) 0.424295 0.0155869
\(742\) −24.9551 + 50.1695i −0.916132 + 1.84178i
\(743\) −10.0819 + 10.0819i −0.369868 + 0.369868i −0.867429 0.497561i \(-0.834229\pi\)
0.497561 + 0.867429i \(0.334229\pi\)
\(744\) 16.6635 24.3917i 0.610915 0.894243i
\(745\) 3.83323 2.94760i 0.140439 0.107992i
\(746\) 3.14903 + 9.38232i 0.115294 + 0.343511i
\(747\) −14.8662 14.8662i −0.543927 0.543927i
\(748\) −2.26083 + 16.3076i −0.0826642 + 0.596265i
\(749\) 18.6534i 0.681581i
\(750\) 37.2028 32.6031i 1.35846 1.19050i
\(751\) 6.72265i 0.245313i −0.992449 0.122656i \(-0.960859\pi\)
0.992449 0.122656i \(-0.0391413\pi\)
\(752\) −3.36386 + 1.88108i −0.122667 + 0.0685958i
\(753\) 3.52470 + 3.52470i 0.128447 + 0.128447i
\(754\) 3.41580 1.14646i 0.124396 0.0417516i
\(755\) 20.3740 15.6668i 0.741485 0.570172i
\(756\) −66.2778 + 50.1383i −2.41050 + 1.82351i
\(757\) −9.77504 + 9.77504i −0.355280 + 0.355280i −0.862070 0.506790i \(-0.830832\pi\)
0.506790 + 0.862070i \(0.330832\pi\)
\(758\) −29.2437 14.5463i −1.06218 0.528345i
\(759\) 3.65088 0.132519
\(760\) 0.571487 0.639609i 0.0207300 0.0232010i
\(761\) 33.6933 1.22138 0.610690 0.791870i \(-0.290892\pi\)
0.610690 + 0.791870i \(0.290892\pi\)
\(762\) 80.7584 + 40.1705i 2.92557 + 1.45522i
\(763\) −5.00257 + 5.00257i −0.181105 + 0.181105i
\(764\) −14.4884 + 10.9603i −0.524172 + 0.396529i
\(765\) 12.1894 93.3286i 0.440709 3.37430i
\(766\) −46.3681 + 15.5627i −1.67535 + 0.562303i
\(767\) −2.67479 2.67479i −0.0965809 0.0965809i
\(768\) −48.6890 + 11.6245i −1.75691 + 0.419464i
\(769\) 27.1271i 0.978229i 0.872220 + 0.489114i \(0.162680\pi\)
−0.872220 + 0.489114i \(0.837320\pi\)
\(770\) −12.2186 8.20672i −0.440327 0.295750i
\(771\) 43.1431i 1.55376i
\(772\) −2.77999 + 20.0523i −0.100054 + 0.721699i
\(773\) 34.3561 + 34.3561i 1.23570 + 1.23570i 0.961741 + 0.273961i \(0.0883340\pi\)
0.273961 + 0.961741i \(0.411666\pi\)
\(774\) −19.3568 57.6724i −0.695766 2.07299i
\(775\) −16.1314 4.28690i −0.579458 0.153990i