Properties

Label 273.2.by.c.76.5
Level $273$
Weight $2$
Character 273.76
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 76.5
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.c.97.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0473445 - 0.176692i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.70307 + 0.983269i) q^{4} +(-2.80040 + 2.80040i) q^{5} +(-0.0473445 - 0.176692i) q^{6} +(1.70697 + 2.02145i) q^{7} +(0.513062 - 0.513062i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.0473445 - 0.176692i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.70307 + 0.983269i) q^{4} +(-2.80040 + 2.80040i) q^{5} +(-0.0473445 - 0.176692i) q^{6} +(1.70697 + 2.02145i) q^{7} +(0.513062 - 0.513062i) q^{8} +(0.500000 - 0.866025i) q^{9} +(0.362225 + 0.627392i) q^{10} +(-2.53602 - 0.679524i) q^{11} +1.96654 q^{12} +(-1.37067 + 3.33485i) q^{13} +(0.437989 - 0.205904i) q^{14} +(-1.02502 + 3.82542i) q^{15} +(1.90018 + 3.29120i) q^{16} +(1.43204 - 2.48037i) q^{17} +(-0.129347 - 0.129347i) q^{18} +(-0.759707 - 2.83527i) q^{19} +(-7.52284 + 2.01574i) q^{20} +(2.48901 + 0.897136i) q^{21} +(-0.240133 + 0.415922i) q^{22} +(7.27090 - 4.19786i) q^{23} +(0.187794 - 0.700855i) q^{24} -10.6845i q^{25} +(0.524348 + 0.400074i) q^{26} -1.00000i q^{27} +(0.919475 + 5.12108i) q^{28} +(1.66138 + 2.87760i) q^{29} +(0.627392 + 0.362225i) q^{30} +(6.75045 - 6.75045i) q^{31} +(2.07320 - 0.555513i) q^{32} +(-2.53602 + 0.679524i) q^{33} +(-0.370463 - 0.370463i) q^{34} +(-10.4411 - 0.880647i) q^{35} +(1.70307 - 0.983269i) q^{36} +(-6.77592 - 1.81560i) q^{37} -0.536937 q^{38} +(0.480389 + 3.57341i) q^{39} +2.87356i q^{40} +(2.79099 + 0.747843i) q^{41} +(0.276357 - 0.397313i) q^{42} +(-2.43132 - 1.40372i) q^{43} +(-3.65087 - 3.65087i) q^{44} +(1.02502 + 3.82542i) q^{45} +(-0.397491 - 1.48346i) q^{46} +(4.85765 + 4.85765i) q^{47} +(3.29120 + 1.90018i) q^{48} +(-1.17248 + 6.90111i) q^{49} +(-1.88787 - 0.505853i) q^{50} -2.86409i q^{51} +(-5.61342 + 4.33176i) q^{52} -5.43259 q^{53} +(-0.176692 - 0.0473445i) q^{54} +(9.00481 - 5.19893i) q^{55} +(1.91291 + 0.161343i) q^{56} +(-2.07556 - 2.07556i) q^{57} +(0.587105 - 0.157314i) q^{58} +(0.00666592 - 0.00178613i) q^{59} +(-5.50710 + 5.50710i) q^{60} +(-5.65469 - 3.26474i) q^{61} +(-0.873154 - 1.51235i) q^{62} +(2.60411 - 0.467560i) q^{63} +7.20808i q^{64} +(-5.50050 - 13.1774i) q^{65} +0.480266i q^{66} +(2.10207 - 7.84504i) q^{67} +(4.87775 - 2.81617i) q^{68} +(4.19786 - 7.27090i) q^{69} +(-0.649930 + 1.80316i) q^{70} +(-14.5933 + 3.91026i) q^{71} +(-0.187794 - 0.700855i) q^{72} +(-0.321617 - 0.321617i) q^{73} +(-0.641604 + 1.11129i) q^{74} +(-5.34226 - 9.25307i) q^{75} +(1.49399 - 5.57566i) q^{76} +(-2.95530 - 6.28635i) q^{77} +(0.654136 + 0.0843000i) q^{78} +0.280448 q^{79} +(-14.5379 - 3.89543i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(0.264276 - 0.457739i) q^{82} +(2.42973 - 2.42973i) q^{83} +(3.35683 + 3.97525i) q^{84} +(2.93575 + 10.9564i) q^{85} +(-0.363136 + 0.363136i) q^{86} +(2.87760 + 1.66138i) q^{87} +(-1.64977 + 0.952496i) q^{88} +(-0.0536096 + 0.200074i) q^{89} +0.724450 q^{90} +(-9.08093 + 2.92177i) q^{91} +16.5105 q^{92} +(2.47084 - 9.22129i) q^{93} +(1.08829 - 0.628324i) q^{94} +(10.0674 + 5.81240i) q^{95} +(1.51769 - 1.51769i) q^{96} +(-0.197356 - 0.736543i) q^{97} +(1.16386 + 0.533897i) q^{98} +(-1.85649 + 1.85649i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(-1\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0473445 0.176692i 0.0334776 0.124940i −0.947165 0.320747i \(-0.896066\pi\)
0.980642 + 0.195807i \(0.0627327\pi\)
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 1.70307 + 0.983269i 0.851536 + 0.491635i
\(5\) −2.80040 + 2.80040i −1.25238 + 1.25238i −0.297728 + 0.954651i \(0.596229\pi\)
−0.954651 + 0.297728i \(0.903771\pi\)
\(6\) −0.0473445 0.176692i −0.0193283 0.0721342i
\(7\) 1.70697 + 2.02145i 0.645175 + 0.764034i
\(8\) 0.513062 0.513062i 0.181395 0.181395i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.362225 + 0.627392i 0.114546 + 0.198399i
\(11\) −2.53602 0.679524i −0.764638 0.204884i −0.144637 0.989485i \(-0.546201\pi\)
−0.620001 + 0.784601i \(0.712868\pi\)
\(12\) 1.96654 0.567691
\(13\) −1.37067 + 3.33485i −0.380156 + 0.924922i
\(14\) 0.437989 0.205904i 0.117057 0.0550302i
\(15\) −1.02502 + 3.82542i −0.264659 + 0.987720i
\(16\) 1.90018 + 3.29120i 0.475044 + 0.822800i
\(17\) 1.43204 2.48037i 0.347322 0.601579i −0.638451 0.769663i \(-0.720424\pi\)
0.985773 + 0.168083i \(0.0537578\pi\)
\(18\) −0.129347 0.129347i −0.0304875 0.0304875i
\(19\) −0.759707 2.83527i −0.174289 0.650455i −0.996672 0.0815202i \(-0.974022\pi\)
0.822383 0.568934i \(-0.192644\pi\)
\(20\) −7.52284 + 2.01574i −1.68216 + 0.450733i
\(21\) 2.48901 + 0.897136i 0.543145 + 0.195771i
\(22\) −0.240133 + 0.415922i −0.0511965 + 0.0886749i
\(23\) 7.27090 4.19786i 1.51609 0.875314i 0.516266 0.856428i \(-0.327321\pi\)
0.999822 0.0188857i \(-0.00601188\pi\)
\(24\) 0.187794 0.700855i 0.0383332 0.143062i
\(25\) 10.6845i 2.13690i
\(26\) 0.524348 + 0.400074i 0.102833 + 0.0784609i
\(27\) 1.00000i 0.192450i
\(28\) 0.919475 + 5.12108i 0.173764 + 0.967794i
\(29\) 1.66138 + 2.87760i 0.308511 + 0.534356i 0.978037 0.208432i \(-0.0668361\pi\)
−0.669526 + 0.742789i \(0.733503\pi\)
\(30\) 0.627392 + 0.362225i 0.114546 + 0.0661330i
\(31\) 6.75045 6.75045i 1.21242 1.21242i 0.242188 0.970229i \(-0.422135\pi\)
0.970229 0.242188i \(-0.0778651\pi\)
\(32\) 2.07320 0.555513i 0.366494 0.0982017i
\(33\) −2.53602 + 0.679524i −0.441464 + 0.118290i
\(34\) −0.370463 0.370463i −0.0635339 0.0635339i
\(35\) −10.4411 0.880647i −1.76486 0.148856i
\(36\) 1.70307 0.983269i 0.283845 0.163878i
\(37\) −6.77592 1.81560i −1.11395 0.298483i −0.345519 0.938412i \(-0.612297\pi\)
−0.768434 + 0.639929i \(0.778964\pi\)
\(38\) −0.536937 −0.0871026
\(39\) 0.480389 + 3.57341i 0.0769239 + 0.572203i
\(40\) 2.87356i 0.454350i
\(41\) 2.79099 + 0.747843i 0.435879 + 0.116793i 0.470085 0.882621i \(-0.344223\pi\)
−0.0342056 + 0.999415i \(0.510890\pi\)
\(42\) 0.276357 0.397313i 0.0426429 0.0613067i
\(43\) −2.43132 1.40372i −0.370773 0.214066i 0.303023 0.952983i \(-0.402004\pi\)
−0.673796 + 0.738917i \(0.735337\pi\)
\(44\) −3.65087 3.65087i −0.550389 0.550389i
\(45\) 1.02502 + 3.82542i 0.152801 + 0.570260i
\(46\) −0.397491 1.48346i −0.0586068 0.218724i
\(47\) 4.85765 + 4.85765i 0.708561 + 0.708561i 0.966232 0.257672i \(-0.0829554\pi\)
−0.257672 + 0.966232i \(0.582955\pi\)
\(48\) 3.29120 + 1.90018i 0.475044 + 0.274267i
\(49\) −1.17248 + 6.90111i −0.167497 + 0.985873i
\(50\) −1.88787 0.505853i −0.266985 0.0715384i
\(51\) 2.86409i 0.401053i
\(52\) −5.61342 + 4.33176i −0.778441 + 0.600707i
\(53\) −5.43259 −0.746224 −0.373112 0.927786i \(-0.621709\pi\)
−0.373112 + 0.927786i \(0.621709\pi\)
\(54\) −0.176692 0.0473445i −0.0240447 0.00644277i
\(55\) 9.00481 5.19893i 1.21421 0.701024i
\(56\) 1.91291 + 0.161343i 0.255623 + 0.0215604i
\(57\) −2.07556 2.07556i −0.274914 0.274914i
\(58\) 0.587105 0.157314i 0.0770907 0.0206564i
\(59\) 0.00666592 0.00178613i 0.000867829 0.000232534i −0.258385 0.966042i \(-0.583190\pi\)
0.259253 + 0.965809i \(0.416524\pi\)
\(60\) −5.50710 + 5.50710i −0.710964 + 0.710964i
\(61\) −5.65469 3.26474i −0.724009 0.418007i 0.0922177 0.995739i \(-0.470604\pi\)
−0.816226 + 0.577732i \(0.803938\pi\)
\(62\) −0.873154 1.51235i −0.110891 0.192068i
\(63\) 2.60411 0.467560i 0.328087 0.0589070i
\(64\) 7.20808i 0.901010i
\(65\) −5.50050 13.1774i −0.682253 1.63445i
\(66\) 0.480266i 0.0591166i
\(67\) 2.10207 7.84504i 0.256809 0.958424i −0.710266 0.703933i \(-0.751425\pi\)
0.967075 0.254491i \(-0.0819079\pi\)
\(68\) 4.87775 2.81617i 0.591514 0.341511i
\(69\) 4.19786 7.27090i 0.505363 0.875314i
\(70\) −0.649930 + 1.80316i −0.0776815 + 0.215519i
\(71\) −14.5933 + 3.91026i −1.73191 + 0.464063i −0.980621 0.195914i \(-0.937233\pi\)
−0.751286 + 0.659977i \(0.770566\pi\)
\(72\) −0.187794 0.700855i −0.0221317 0.0825966i
\(73\) −0.321617 0.321617i −0.0376425 0.0376425i 0.688035 0.725677i \(-0.258474\pi\)
−0.725677 + 0.688035i \(0.758474\pi\)
\(74\) −0.641604 + 1.11129i −0.0745850 + 0.129185i
\(75\) −5.34226 9.25307i −0.616871 1.06845i
\(76\) 1.49399 5.57566i 0.171373 0.639572i
\(77\) −2.95530 6.28635i −0.336787 0.716396i
\(78\) 0.654136 + 0.0843000i 0.0740663 + 0.00954510i
\(79\) 0.280448 0.0315529 0.0157764 0.999876i \(-0.494978\pi\)
0.0157764 + 0.999876i \(0.494978\pi\)
\(80\) −14.5379 3.89543i −1.62539 0.435522i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 0.264276 0.457739i 0.0291844 0.0505488i
\(83\) 2.42973 2.42973i 0.266698 0.266698i −0.561070 0.827768i \(-0.689610\pi\)
0.827768 + 0.561070i \(0.189610\pi\)
\(84\) 3.35683 + 3.97525i 0.366260 + 0.433735i
\(85\) 2.93575 + 10.9564i 0.318426 + 1.18838i
\(86\) −0.363136 + 0.363136i −0.0391580 + 0.0391580i
\(87\) 2.87760 + 1.66138i 0.308511 + 0.178119i
\(88\) −1.64977 + 0.952496i −0.175866 + 0.101536i
\(89\) −0.0536096 + 0.200074i −0.00568261 + 0.0212078i −0.968709 0.248200i \(-0.920161\pi\)
0.963026 + 0.269407i \(0.0868278\pi\)
\(90\) 0.724450 0.0763638
\(91\) −9.08093 + 2.92177i −0.951940 + 0.306285i
\(92\) 16.5105 1.72134
\(93\) 2.47084 9.22129i 0.256214 0.956203i
\(94\) 1.08829 0.628324i 0.112249 0.0648067i
\(95\) 10.0674 + 5.81240i 1.03289 + 0.596340i
\(96\) 1.51769 1.51769i 0.154899 0.154899i
\(97\) −0.197356 0.736543i −0.0200385 0.0747847i 0.955183 0.296017i \(-0.0956586\pi\)
−0.975221 + 0.221233i \(0.928992\pi\)
\(98\) 1.16386 + 0.533897i 0.117568 + 0.0539318i
\(99\) −1.85649 + 1.85649i −0.186585 + 0.186585i
\(100\) 10.5058 18.1965i 1.05058 1.81965i
\(101\) −0.682084 1.18140i −0.0678699 0.117554i 0.830094 0.557624i \(-0.188287\pi\)
−0.897963 + 0.440070i \(0.854954\pi\)
\(102\) −0.506062 0.135599i −0.0501076 0.0134263i
\(103\) 4.43543 0.437036 0.218518 0.975833i \(-0.429878\pi\)
0.218518 + 0.975833i \(0.429878\pi\)
\(104\) 1.00775 + 2.41423i 0.0988177 + 0.236734i
\(105\) −9.48256 + 4.45788i −0.925403 + 0.435044i
\(106\) −0.257203 + 0.959895i −0.0249818 + 0.0932333i
\(107\) −1.81150 3.13761i −0.175124 0.303324i 0.765080 0.643935i \(-0.222699\pi\)
−0.940204 + 0.340611i \(0.889366\pi\)
\(108\) 0.983269 1.70307i 0.0946151 0.163878i
\(109\) 11.1249 + 11.1249i 1.06557 + 1.06557i 0.997694 + 0.0678792i \(0.0216232\pi\)
0.0678792 + 0.997694i \(0.478377\pi\)
\(110\) −0.492281 1.83722i −0.0469372 0.175172i
\(111\) −6.77592 + 1.81560i −0.643142 + 0.172329i
\(112\) −3.40943 + 9.45909i −0.322161 + 0.893800i
\(113\) −2.74763 + 4.75903i −0.258475 + 0.447692i −0.965834 0.259163i \(-0.916553\pi\)
0.707358 + 0.706855i \(0.249887\pi\)
\(114\) −0.465001 + 0.268468i −0.0435513 + 0.0251444i
\(115\) −8.60577 + 32.1172i −0.802492 + 2.99494i
\(116\) 6.53434i 0.606698i
\(117\) 2.20273 + 2.85447i 0.203643 + 0.263895i
\(118\) 0.00126238i 0.000116211i
\(119\) 7.45840 1.33913i 0.683711 0.122758i
\(120\) 1.43678 + 2.48858i 0.131159 + 0.227175i
\(121\) −3.55665 2.05343i −0.323331 0.186675i
\(122\) −0.844571 + 0.844571i −0.0764638 + 0.0764638i
\(123\) 2.79099 0.747843i 0.251655 0.0674307i
\(124\) 18.1340 4.85900i 1.62848 0.436351i
\(125\) 15.9190 + 15.9190i 1.42383 + 1.42383i
\(126\) 0.0406761 0.482262i 0.00362371 0.0429633i
\(127\) 8.80555 5.08389i 0.781367 0.451122i −0.0555478 0.998456i \(-0.517691\pi\)
0.836914 + 0.547334i \(0.184357\pi\)
\(128\) 5.42001 + 1.45229i 0.479066 + 0.128365i
\(129\) −2.80745 −0.247182
\(130\) −2.58875 + 0.348018i −0.227049 + 0.0305232i
\(131\) 19.5230i 1.70573i 0.522129 + 0.852867i \(0.325138\pi\)
−0.522129 + 0.852867i \(0.674862\pi\)
\(132\) −4.98718 1.33631i −0.434078 0.116311i
\(133\) 4.43453 6.37543i 0.384523 0.552820i
\(134\) −1.28663 0.742838i −0.111148 0.0641715i
\(135\) 2.80040 + 2.80040i 0.241020 + 0.241020i
\(136\) −0.537858 2.00731i −0.0461209 0.172126i
\(137\) −3.09421 11.5477i −0.264356 0.986590i −0.962643 0.270773i \(-0.912721\pi\)
0.698287 0.715818i \(-0.253946\pi\)
\(138\) −1.08596 1.08596i −0.0924435 0.0924435i
\(139\) −14.4291 8.33062i −1.22386 0.706594i −0.258119 0.966113i \(-0.583103\pi\)
−0.965738 + 0.259519i \(0.916436\pi\)
\(140\) −16.9160 11.7662i −1.42966 0.994425i
\(141\) 6.63567 + 1.77802i 0.558824 + 0.149736i
\(142\) 2.76365i 0.231920i
\(143\) 5.74217 7.52585i 0.480184 0.629343i
\(144\) 3.80035 0.316696
\(145\) −12.7110 3.40589i −1.05559 0.282844i
\(146\) −0.0720540 + 0.0416004i −0.00596323 + 0.00344287i
\(147\) 2.43516 + 6.56278i 0.200848 + 0.541289i
\(148\) −9.75465 9.75465i −0.801827 0.801827i
\(149\) 14.7603 3.95502i 1.20921 0.324008i 0.402761 0.915305i \(-0.368051\pi\)
0.806454 + 0.591297i \(0.201384\pi\)
\(150\) −1.88787 + 0.505853i −0.154144 + 0.0413027i
\(151\) −7.50367 + 7.50367i −0.610640 + 0.610640i −0.943113 0.332473i \(-0.892117\pi\)
0.332473 + 0.943113i \(0.392117\pi\)
\(152\) −1.84444 1.06489i −0.149604 0.0863740i
\(153\) −1.43204 2.48037i −0.115774 0.200526i
\(154\) −1.25066 + 0.224553i −0.100781 + 0.0180950i
\(155\) 37.8080i 3.03681i
\(156\) −2.69548 + 6.55812i −0.215811 + 0.525070i
\(157\) 13.4871i 1.07639i −0.842820 0.538195i \(-0.819106\pi\)
0.842820 0.538195i \(-0.180894\pi\)
\(158\) 0.0132777 0.0495530i 0.00105632 0.00394222i
\(159\) −4.70476 + 2.71630i −0.373112 + 0.215416i
\(160\) −4.25014 + 7.36146i −0.336003 + 0.581975i
\(161\) 20.8970 + 7.53210i 1.64691 + 0.593612i
\(162\) −0.176692 + 0.0473445i −0.0138822 + 0.00371973i
\(163\) −1.07320 4.00525i −0.0840598 0.313716i 0.911075 0.412241i \(-0.135254\pi\)
−0.995134 + 0.0985258i \(0.968587\pi\)
\(164\) 4.01792 + 4.01792i 0.313747 + 0.313747i
\(165\) 5.19893 9.00481i 0.404736 0.701024i
\(166\) −0.314280 0.544349i −0.0243928 0.0422496i
\(167\) −3.62497 + 13.5286i −0.280508 + 1.04687i 0.671551 + 0.740958i \(0.265628\pi\)
−0.952059 + 0.305913i \(0.901038\pi\)
\(168\) 1.73730 0.816727i 0.134036 0.0630119i
\(169\) −9.24251 9.14199i −0.710962 0.703230i
\(170\) 2.07489 0.159137
\(171\) −2.83527 0.759707i −0.216818 0.0580963i
\(172\) −2.76048 4.78129i −0.210484 0.364570i
\(173\) 7.63123 13.2177i 0.580192 1.00492i −0.415265 0.909701i \(-0.636311\pi\)
0.995456 0.0952206i \(-0.0303556\pi\)
\(174\) 0.429791 0.429791i 0.0325824 0.0325824i
\(175\) 21.5982 18.2382i 1.63267 1.37868i
\(176\) −2.58243 9.63776i −0.194658 0.726473i
\(177\) 0.00487979 0.00487979i 0.000366788 0.000366788i
\(178\) 0.0328133 + 0.0189448i 0.00245946 + 0.00141997i
\(179\) 6.94881 4.01190i 0.519379 0.299863i −0.217302 0.976104i \(-0.569726\pi\)
0.736680 + 0.676241i \(0.236392\pi\)
\(180\) −2.01574 + 7.52284i −0.150244 + 0.560719i
\(181\) −9.08130 −0.675008 −0.337504 0.941324i \(-0.609583\pi\)
−0.337504 + 0.941324i \(0.609583\pi\)
\(182\) 0.0863213 + 1.74286i 0.00639856 + 0.129189i
\(183\) −6.52947 −0.482672
\(184\) 1.57666 5.88418i 0.116233 0.433788i
\(185\) 24.0597 13.8909i 1.76891 1.02128i
\(186\) −1.51235 0.873154i −0.110891 0.0640228i
\(187\) −5.31717 + 5.31717i −0.388830 + 0.388830i
\(188\) 3.49655 + 13.0493i 0.255012 + 0.951718i
\(189\) 2.02145 1.70697i 0.147038 0.124164i
\(190\) 1.50364 1.50364i 0.109085 0.109085i
\(191\) −10.2571 + 17.7658i −0.742179 + 1.28549i 0.209323 + 0.977847i \(0.432874\pi\)
−0.951501 + 0.307645i \(0.900459\pi\)
\(192\) 3.60404 + 6.24238i 0.260099 + 0.450505i
\(193\) 14.0081 + 3.75346i 1.00832 + 0.270180i 0.724929 0.688823i \(-0.241872\pi\)
0.283396 + 0.959003i \(0.408539\pi\)
\(194\) −0.139485 −0.0100144
\(195\) −11.3523 8.66169i −0.812952 0.620277i
\(196\) −8.78247 + 10.6002i −0.627319 + 0.757159i
\(197\) 4.65346 17.3669i 0.331545 1.23734i −0.576022 0.817434i \(-0.695396\pi\)
0.907567 0.419908i \(-0.137938\pi\)
\(198\) 0.240133 + 0.415922i 0.0170655 + 0.0295583i
\(199\) −1.63893 + 2.83871i −0.116181 + 0.201231i −0.918251 0.395999i \(-0.870399\pi\)
0.802070 + 0.597230i \(0.203732\pi\)
\(200\) −5.48182 5.48182i −0.387623 0.387623i
\(201\) −2.10207 7.84504i −0.148269 0.553346i
\(202\) −0.241037 + 0.0645858i −0.0169593 + 0.00454424i
\(203\) −2.98097 + 8.27037i −0.209223 + 0.580466i
\(204\) 2.81617 4.87775i 0.197171 0.341511i
\(205\) −9.91015 + 5.72163i −0.692155 + 0.399616i
\(206\) 0.209993 0.783706i 0.0146309 0.0546034i
\(207\) 8.39572i 0.583543i
\(208\) −13.5802 + 1.82565i −0.941617 + 0.126586i
\(209\) 7.70652i 0.533071i
\(210\) 0.338724 + 1.88655i 0.0233742 + 0.130184i
\(211\) 12.5254 + 21.6946i 0.862283 + 1.49352i 0.869719 + 0.493546i \(0.164300\pi\)
−0.00743594 + 0.999972i \(0.502367\pi\)
\(212\) −9.25209 5.34170i −0.635436 0.366869i
\(213\) −10.6830 + 10.6830i −0.731990 + 0.731990i
\(214\) −0.640155 + 0.171529i −0.0437601 + 0.0117255i
\(215\) 10.7397 2.87769i 0.732440 0.196257i
\(216\) −0.513062 0.513062i −0.0349094 0.0349094i
\(217\) 25.1685 + 2.12282i 1.70855 + 0.144107i
\(218\) 2.49238 1.43898i 0.168806 0.0974599i
\(219\) −0.439338 0.117720i −0.0296877 0.00795479i
\(220\) 20.4478 1.37859
\(221\) 6.30882 + 8.17544i 0.424377 + 0.549940i
\(222\) 1.28321i 0.0861233i
\(223\) −9.63125 2.58069i −0.644956 0.172816i −0.0785089 0.996913i \(-0.525016\pi\)
−0.566447 + 0.824098i \(0.691683\pi\)
\(224\) 4.66184 + 3.24262i 0.311482 + 0.216657i
\(225\) −9.25307 5.34226i −0.616871 0.356151i
\(226\) 0.710798 + 0.710798i 0.0472816 + 0.0472816i
\(227\) −4.05289 15.1256i −0.269000 1.00392i −0.959757 0.280833i \(-0.909389\pi\)
0.690757 0.723087i \(-0.257278\pi\)
\(228\) −1.49399 5.57566i −0.0989421 0.369257i
\(229\) 1.59130 + 1.59130i 0.105156 + 0.105156i 0.757727 0.652571i \(-0.226310\pi\)
−0.652571 + 0.757727i \(0.726310\pi\)
\(230\) 5.26741 + 3.04114i 0.347323 + 0.200527i
\(231\) −5.70254 3.96649i −0.375199 0.260976i
\(232\) 2.32878 + 0.623994i 0.152892 + 0.0409672i
\(233\) 8.49682i 0.556645i 0.960488 + 0.278323i \(0.0897784\pi\)
−0.960488 + 0.278323i \(0.910222\pi\)
\(234\) 0.608648 0.254062i 0.0397886 0.0166085i
\(235\) −27.2067 −1.77477
\(236\) 0.0131088 + 0.00351249i 0.000853310 + 0.000228644i
\(237\) 0.242875 0.140224i 0.0157764 0.00910854i
\(238\) 0.116500 1.38124i 0.00755157 0.0895325i
\(239\) −6.87958 6.87958i −0.445003 0.445003i 0.448686 0.893689i \(-0.351892\pi\)
−0.893689 + 0.448686i \(0.851892\pi\)
\(240\) −14.5379 + 3.89543i −0.938420 + 0.251449i
\(241\) −19.8128 + 5.30883i −1.27626 + 0.341972i −0.832424 0.554139i \(-0.813048\pi\)
−0.443831 + 0.896110i \(0.646381\pi\)
\(242\) −0.531212 + 0.531212i −0.0341476 + 0.0341476i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −6.42023 11.1202i −0.411013 0.711895i
\(245\) −16.0425 22.6093i −1.02492 1.44446i
\(246\) 0.528551i 0.0336992i
\(247\) 10.4965 + 1.35271i 0.667877 + 0.0860709i
\(248\) 6.92680i 0.439852i
\(249\) 0.889344 3.31908i 0.0563599 0.210338i
\(250\) 3.56642 2.05908i 0.225561 0.130227i
\(251\) −4.35546 + 7.54388i −0.274914 + 0.476165i −0.970113 0.242652i \(-0.921983\pi\)
0.695199 + 0.718817i \(0.255316\pi\)
\(252\) 4.89472 + 1.76425i 0.308339 + 0.111137i
\(253\) −21.2917 + 5.70509i −1.33860 + 0.358676i
\(254\) −0.481388 1.79656i −0.0302050 0.112726i
\(255\) 8.02061 + 8.02061i 0.502270 + 0.502270i
\(256\) −6.69487 + 11.5958i −0.418429 + 0.724741i
\(257\) −6.96099 12.0568i −0.434215 0.752082i 0.563016 0.826446i \(-0.309641\pi\)
−0.997231 + 0.0743637i \(0.976307\pi\)
\(258\) −0.132917 + 0.496054i −0.00827506 + 0.0308829i
\(259\) −7.89617 16.7963i −0.490644 1.04367i
\(260\) 3.58916 27.8505i 0.222590 1.72721i
\(261\) 3.32276 0.205674
\(262\) 3.44956 + 0.924307i 0.213114 + 0.0571039i
\(263\) −5.34924 9.26516i −0.329848 0.571314i 0.652633 0.757674i \(-0.273664\pi\)
−0.982482 + 0.186360i \(0.940331\pi\)
\(264\) −0.952496 + 1.64977i −0.0586221 + 0.101536i
\(265\) 15.2134 15.2134i 0.934555 0.934555i
\(266\) −0.916537 1.08539i −0.0561965 0.0665494i
\(267\) 0.0536096 + 0.200074i 0.00328086 + 0.0122443i
\(268\) 11.2938 11.2938i 0.689877 0.689877i
\(269\) −7.98188 4.60834i −0.486664 0.280976i 0.236526 0.971625i \(-0.423991\pi\)
−0.723189 + 0.690650i \(0.757325\pi\)
\(270\) 0.627392 0.362225i 0.0381819 0.0220443i
\(271\) 0.262832 0.980903i 0.0159659 0.0595856i −0.957483 0.288489i \(-0.906847\pi\)
0.973449 + 0.228903i \(0.0735139\pi\)
\(272\) 10.8845 0.659972
\(273\) −6.40343 + 7.07079i −0.387553 + 0.427944i
\(274\) −2.18689 −0.132115
\(275\) −7.26039 + 27.0961i −0.437818 + 1.63396i
\(276\) 14.2985 8.25525i 0.860669 0.496908i
\(277\) 0.795438 + 0.459247i 0.0477933 + 0.0275935i 0.523706 0.851899i \(-0.324549\pi\)
−0.475913 + 0.879492i \(0.657882\pi\)
\(278\) −2.15509 + 2.15509i −0.129254 + 0.129254i
\(279\) −2.47084 9.22129i −0.147925 0.552064i
\(280\) −5.80874 + 4.90509i −0.347139 + 0.293135i
\(281\) 3.41893 3.41893i 0.203956 0.203956i −0.597737 0.801693i \(-0.703933\pi\)
0.801693 + 0.597737i \(0.203933\pi\)
\(282\) 0.628324 1.08829i 0.0374162 0.0648067i
\(283\) −7.94500 13.7611i −0.472281 0.818015i 0.527216 0.849731i \(-0.323236\pi\)
−0.999497 + 0.0317167i \(0.989903\pi\)
\(284\) −28.6983 7.68968i −1.70293 0.456299i
\(285\) 11.6248 0.688594
\(286\) −1.05790 1.37090i −0.0625547 0.0810631i
\(287\) 3.25242 + 6.91838i 0.191984 + 0.408379i
\(288\) 0.555513 2.07320i 0.0327339 0.122165i
\(289\) 4.39849 + 7.61842i 0.258735 + 0.448142i
\(290\) −1.20359 + 2.08468i −0.0706771 + 0.122416i
\(291\) −0.539187 0.539187i −0.0316077 0.0316077i
\(292\) −0.231501 0.863974i −0.0135476 0.0505603i
\(293\) 14.2807 3.82651i 0.834288 0.223547i 0.183705 0.982981i \(-0.441191\pi\)
0.650584 + 0.759435i \(0.274524\pi\)
\(294\) 1.27488 0.119561i 0.0743526 0.00697296i
\(295\) −0.0136654 + 0.0236692i −0.000795630 + 0.00137807i
\(296\) −4.40798 + 2.54495i −0.256209 + 0.147922i
\(297\) −0.679524 + 2.53602i −0.0394300 + 0.147155i
\(298\) 2.79528i 0.161926i
\(299\) 4.03321 + 30.0013i 0.233247 + 1.73502i
\(300\) 21.0115i 1.21310i
\(301\) −1.31265 7.31090i −0.0756599 0.421393i
\(302\) 0.970581 + 1.68110i 0.0558506 + 0.0967362i
\(303\) −1.18140 0.682084i −0.0678699 0.0391847i
\(304\) 7.88785 7.88785i 0.452399 0.452399i
\(305\) 24.9780 6.69283i 1.43024 0.383230i
\(306\) −0.506062 + 0.135599i −0.0289296 + 0.00775167i
\(307\) 11.9699 + 11.9699i 0.683157 + 0.683157i 0.960710 0.277553i \(-0.0895234\pi\)
−0.277553 + 0.960710i \(0.589523\pi\)
\(308\) 1.14809 13.6120i 0.0654187 0.775613i
\(309\) 3.84120 2.21772i 0.218518 0.126162i
\(310\) 6.68037 + 1.79000i 0.379419 + 0.101665i
\(311\) −22.3022 −1.26464 −0.632322 0.774706i \(-0.717898\pi\)
−0.632322 + 0.774706i \(0.717898\pi\)
\(312\) 2.07985 + 1.58691i 0.117748 + 0.0898410i
\(313\) 21.7630i 1.23012i 0.788481 + 0.615059i \(0.210868\pi\)
−0.788481 + 0.615059i \(0.789132\pi\)
\(314\) −2.38307 0.638541i −0.134484 0.0360349i
\(315\) −5.98320 + 8.60192i −0.337115 + 0.484663i
\(316\) 0.477624 + 0.275756i 0.0268684 + 0.0155125i
\(317\) 3.88719 + 3.88719i 0.218327 + 0.218327i 0.807793 0.589466i \(-0.200662\pi\)
−0.589466 + 0.807793i \(0.700662\pi\)
\(318\) 0.257203 + 0.959895i 0.0144232 + 0.0538282i
\(319\) −2.25790 8.42659i −0.126418 0.471798i
\(320\) −20.1855 20.1855i −1.12841 1.12841i
\(321\) −3.13761 1.81150i −0.175124 0.101108i
\(322\) 2.32022 3.33573i 0.129301 0.185893i
\(323\) −8.12046 2.17587i −0.451834 0.121069i
\(324\) 1.96654i 0.109252i
\(325\) 35.6313 + 14.6450i 1.97647 + 0.812358i
\(326\) −0.758506 −0.0420098
\(327\) 15.1969 + 4.07200i 0.840391 + 0.225182i
\(328\) 1.81564 1.04826i 0.100252 0.0578804i
\(329\) −1.52759 + 18.1113i −0.0842188 + 0.998510i
\(330\) −1.34494 1.34494i −0.0740364 0.0740364i
\(331\) −17.6440 + 4.72770i −0.969802 + 0.259858i −0.708744 0.705466i \(-0.750738\pi\)
−0.261058 + 0.965323i \(0.584071\pi\)
\(332\) 6.52709 1.74893i 0.358221 0.0959849i
\(333\) −4.96032 + 4.96032i −0.271824 + 0.271824i
\(334\) 2.21877 + 1.28101i 0.121406 + 0.0700935i
\(335\) 16.0826 + 27.8559i 0.878688 + 1.52193i
\(336\) 1.77689 + 9.89653i 0.0969374 + 0.539900i
\(337\) 12.4905i 0.680402i −0.940353 0.340201i \(-0.889505\pi\)
0.940353 0.340201i \(-0.110495\pi\)
\(338\) −2.05290 + 1.20025i −0.111663 + 0.0652852i
\(339\) 5.49526i 0.298462i
\(340\) −5.77326 + 21.5461i −0.313099 + 1.16850i
\(341\) −21.7064 + 12.5322i −1.17547 + 0.678655i
\(342\) −0.268468 + 0.465001i −0.0145171 + 0.0251444i
\(343\) −15.9516 + 9.40990i −0.861306 + 0.508087i
\(344\) −1.96762 + 0.527221i −0.106087 + 0.0284258i
\(345\) 8.60577 + 32.1172i 0.463319 + 1.72913i
\(346\) −1.97416 1.97416i −0.106132 0.106132i
\(347\) −2.70509 + 4.68534i −0.145217 + 0.251522i −0.929454 0.368939i \(-0.879721\pi\)
0.784237 + 0.620461i \(0.213055\pi\)
\(348\) 3.26717 + 5.65891i 0.175139 + 0.303349i
\(349\) 1.60376 5.98531i 0.0858472 0.320386i −0.909626 0.415428i \(-0.863632\pi\)
0.995473 + 0.0950418i \(0.0302985\pi\)
\(350\) −2.19999 4.67970i −0.117594 0.250141i
\(351\) 3.33485 + 1.37067i 0.178001 + 0.0731611i
\(352\) −5.63516 −0.300355
\(353\) −34.1022 9.13766i −1.81508 0.486348i −0.818918 0.573911i \(-0.805425\pi\)
−0.996159 + 0.0875628i \(0.972092\pi\)
\(354\) −0.000631189 0.00109325i −3.35473e−5 5.81057e-5i
\(355\) 29.9168 51.8175i 1.58782 2.75019i
\(356\) −0.288028 + 0.288028i −0.0152654 + 0.0152654i
\(357\) 5.78960 4.88893i 0.306418 0.258749i
\(358\) −0.379882 1.41774i −0.0200774 0.0749299i
\(359\) 7.81387 7.81387i 0.412400 0.412400i −0.470174 0.882574i \(-0.655809\pi\)
0.882574 + 0.470174i \(0.155809\pi\)
\(360\) 2.48858 + 1.43678i 0.131159 + 0.0757250i
\(361\) 8.99290 5.19206i 0.473311 0.273266i
\(362\) −0.429949 + 1.60459i −0.0225976 + 0.0843355i
\(363\) −4.10686 −0.215554
\(364\) −18.3384 3.95301i −0.961191 0.207194i
\(365\) 1.80132 0.0942852
\(366\) −0.309134 + 1.15371i −0.0161587 + 0.0603051i
\(367\) −19.4308 + 11.2184i −1.01428 + 0.585593i −0.912441 0.409208i \(-0.865805\pi\)
−0.101836 + 0.994801i \(0.532472\pi\)
\(368\) 27.6320 + 15.9533i 1.44042 + 0.831625i
\(369\) 2.04314 2.04314i 0.106362 0.106362i
\(370\) −1.31531 4.90882i −0.0683799 0.255197i
\(371\) −9.27329 10.9817i −0.481445 0.570141i
\(372\) 13.2750 13.2750i 0.688278 0.688278i
\(373\) −3.45623 + 5.98637i −0.178957 + 0.309962i −0.941523 0.336947i \(-0.890606\pi\)
0.762567 + 0.646910i \(0.223939\pi\)
\(374\) 0.687762 + 1.19124i 0.0355633 + 0.0615975i
\(375\) 21.7457 + 5.82674i 1.12294 + 0.300892i
\(376\) 4.98455 0.257058
\(377\) −11.8736 + 1.59622i −0.611520 + 0.0822095i
\(378\) −0.205904 0.437989i −0.0105906 0.0225277i
\(379\) 2.16569 8.08246i 0.111244 0.415168i −0.887735 0.460356i \(-0.847722\pi\)
0.998979 + 0.0451875i \(0.0143885\pi\)
\(380\) 11.4303 + 19.7979i 0.586363 + 1.01561i
\(381\) 5.08389 8.80555i 0.260456 0.451122i
\(382\) 2.65346 + 2.65346i 0.135763 + 0.135763i
\(383\) 0.572661 + 2.13720i 0.0292616 + 0.109206i 0.979012 0.203802i \(-0.0653300\pi\)
−0.949750 + 0.313008i \(0.898663\pi\)
\(384\) 5.42001 1.45229i 0.276589 0.0741118i
\(385\) 25.8803 + 9.32830i 1.31898 + 0.475414i
\(386\) 1.32641 2.29741i 0.0675126 0.116935i
\(387\) −2.43132 + 1.40372i −0.123591 + 0.0713553i
\(388\) 0.388109 1.44844i 0.0197032 0.0735334i
\(389\) 24.7852i 1.25666i −0.777946 0.628331i \(-0.783738\pi\)
0.777946 0.628331i \(-0.216262\pi\)
\(390\) −2.06792 + 1.59577i −0.104713 + 0.0808050i
\(391\) 24.0461i 1.21606i
\(392\) 2.93914 + 4.14225i 0.148449 + 0.209215i
\(393\) 9.76151 + 16.9074i 0.492403 + 0.852867i
\(394\) −2.84828 1.64446i −0.143494 0.0828465i
\(395\) −0.785368 + 0.785368i −0.0395162 + 0.0395162i
\(396\) −4.98718 + 1.33631i −0.250615 + 0.0671521i
\(397\) −11.9456 + 3.20082i −0.599534 + 0.160645i −0.545807 0.837911i \(-0.683777\pi\)
−0.0537271 + 0.998556i \(0.517110\pi\)
\(398\) 0.423983 + 0.423983i 0.0212524 + 0.0212524i
\(399\) 0.652704 7.73855i 0.0326761 0.387412i
\(400\) 35.1649 20.3025i 1.75824 1.01512i
\(401\) −27.4395 7.35239i −1.37026 0.367161i −0.502688 0.864468i \(-0.667656\pi\)
−0.867575 + 0.497307i \(0.834322\pi\)
\(402\) −1.48568 −0.0740988
\(403\) 13.2591 + 31.7644i 0.660484 + 1.58230i
\(404\) 2.68269i 0.133469i
\(405\) 3.82542 + 1.02502i 0.190087 + 0.0509336i
\(406\) 1.32018 + 0.918270i 0.0655192 + 0.0455730i
\(407\) 15.9501 + 9.20880i 0.790617 + 0.456463i
\(408\) −1.46946 1.46946i −0.0727489 0.0727489i
\(409\) 8.06083 + 30.0834i 0.398583 + 1.48753i 0.815592 + 0.578628i \(0.196412\pi\)
−0.417009 + 0.908902i \(0.636922\pi\)
\(410\) 0.541775 + 2.02193i 0.0267564 + 0.0998561i
\(411\) −8.45353 8.45353i −0.416982 0.416982i
\(412\) 7.55386 + 4.36123i 0.372152 + 0.214862i
\(413\) 0.0149891 + 0.0104259i 0.000737566 + 0.000513026i
\(414\) −1.48346 0.397491i −0.0729079 0.0195356i
\(415\) 13.6085i 0.668013i
\(416\) −0.989128 + 7.67525i −0.0484960 + 0.376310i
\(417\) −16.6612 −0.815905
\(418\) 1.36168 + 0.364861i 0.0666020 + 0.0178460i
\(419\) 15.4180 8.90159i 0.753219 0.434871i −0.0736368 0.997285i \(-0.523461\pi\)
0.826856 + 0.562414i \(0.190127\pi\)
\(420\) −20.5328 1.73183i −1.00190 0.0845044i
\(421\) −7.27536 7.27536i −0.354579 0.354579i 0.507231 0.861810i \(-0.330669\pi\)
−0.861810 + 0.507231i \(0.830669\pi\)
\(422\) 4.42627 1.18602i 0.215468 0.0577344i
\(423\) 6.63567 1.77802i 0.322637 0.0864504i
\(424\) −2.78725 + 2.78725i −0.135361 + 0.135361i
\(425\) −26.5016 15.3007i −1.28552 0.742194i
\(426\) 1.38182 + 2.39339i 0.0669496 + 0.115960i
\(427\) −3.05292 17.0035i −0.147741 0.822855i
\(428\) 7.12477i 0.344389i
\(429\) 1.20994 9.38866i 0.0584164 0.453289i
\(430\) 2.03386i 0.0980813i
\(431\) −5.92484 + 22.1118i −0.285389 + 1.06509i 0.663165 + 0.748473i \(0.269213\pi\)
−0.948554 + 0.316615i \(0.897454\pi\)
\(432\) 3.29120 1.90018i 0.158348 0.0914222i
\(433\) −3.70820 + 6.42278i −0.178205 + 0.308659i −0.941266 0.337667i \(-0.890362\pi\)
0.763061 + 0.646326i \(0.223696\pi\)
\(434\) 1.56668 4.34657i 0.0752029 0.208642i
\(435\) −12.7110 + 3.40589i −0.609444 + 0.163300i
\(436\) 8.00774 + 29.8853i 0.383501 + 1.43125i
\(437\) −17.4258 17.4258i −0.833589 0.833589i
\(438\) −0.0416004 + 0.0720540i −0.00198774 + 0.00344287i
\(439\) 18.4110 + 31.8888i 0.878709 + 1.52197i 0.852758 + 0.522306i \(0.174928\pi\)
0.0259510 + 0.999663i \(0.491739\pi\)
\(440\) 1.95265 7.28740i 0.0930891 0.347413i
\(441\) 5.39029 + 4.46595i 0.256681 + 0.212664i
\(442\) 1.74322 0.727656i 0.0829167 0.0346111i
\(443\) 25.6906 1.22060 0.610298 0.792172i \(-0.291050\pi\)
0.610298 + 0.792172i \(0.291050\pi\)
\(444\) −13.3251 3.57045i −0.632381 0.169446i
\(445\) −0.410159 0.710416i −0.0194434 0.0336770i
\(446\) −0.911973 + 1.57958i −0.0431832 + 0.0747955i
\(447\) 10.8053 10.8053i 0.511074 0.511074i
\(448\) −14.5707 + 12.3040i −0.688403 + 0.581310i
\(449\) −1.26128 4.70715i −0.0595234 0.222144i 0.929757 0.368174i \(-0.120017\pi\)
−0.989280 + 0.146030i \(0.953350\pi\)
\(450\) −1.38202 + 1.38202i −0.0651489 + 0.0651489i
\(451\) −6.56982 3.79308i −0.309361 0.178609i
\(452\) −9.35882 + 5.40332i −0.440202 + 0.254151i
\(453\) −2.74653 + 10.2502i −0.129043 + 0.481596i
\(454\) −2.86445 −0.134435
\(455\) 17.2481 33.6124i 0.808605 1.57577i
\(456\) −2.12978 −0.0997361
\(457\) −1.32032 + 4.92751i −0.0617621 + 0.230499i −0.989907 0.141721i \(-0.954737\pi\)
0.928145 + 0.372220i \(0.121403\pi\)
\(458\) 0.356509 0.205830i 0.0166586 0.00961783i
\(459\) −2.48037 1.43204i −0.115774 0.0668421i
\(460\) −46.2361 + 46.2361i −2.15577 + 2.15577i
\(461\) 2.21189 + 8.25490i 0.103018 + 0.384469i 0.998113 0.0614071i \(-0.0195588\pi\)
−0.895095 + 0.445876i \(0.852892\pi\)
\(462\) −0.970831 + 0.819801i −0.0451671 + 0.0381406i
\(463\) 0.176712 0.176712i 0.00821253 0.00821253i −0.702989 0.711201i \(-0.748152\pi\)
0.711201 + 0.702989i \(0.248152\pi\)
\(464\) −6.31383 + 10.9359i −0.293112 + 0.507685i
\(465\) 18.9040 + 32.7427i 0.876652 + 1.51841i
\(466\) 1.50132 + 0.402277i 0.0695473 + 0.0186351i
\(467\) 23.3883 1.08228 0.541140 0.840932i \(-0.317993\pi\)
0.541140 + 0.840932i \(0.317993\pi\)
\(468\) 0.944704 + 7.02724i 0.0436690 + 0.324834i
\(469\) 19.4465 9.14205i 0.897956 0.422141i
\(470\) −1.28809 + 4.80721i −0.0594151 + 0.221740i
\(471\) −6.74356 11.6802i −0.310727 0.538195i
\(472\) 0.00250364 0.00433642i 0.000115239 0.000199600i
\(473\) 5.21201 + 5.21201i 0.239648 + 0.239648i
\(474\) −0.0132777 0.0495530i −0.000609864 0.00227604i
\(475\) −30.2935 + 8.11711i −1.38996 + 0.372438i
\(476\) 14.0189 + 5.05298i 0.642557 + 0.231603i
\(477\) −2.71630 + 4.70476i −0.124371 + 0.215416i
\(478\) −1.54128 + 0.889857i −0.0704964 + 0.0407011i
\(479\) 8.63573 32.2290i 0.394577 1.47258i −0.427924 0.903815i \(-0.640755\pi\)
0.822500 0.568765i \(-0.192579\pi\)
\(480\) 8.50029i 0.387983i
\(481\) 15.3423 20.1081i 0.699550 0.916851i
\(482\) 3.75211i 0.170904i
\(483\) 21.8634 3.92550i 0.994817 0.178616i
\(484\) −4.03815 6.99428i −0.183552 0.317922i
\(485\) 2.61530 + 1.50994i 0.118754 + 0.0685629i
\(486\) −0.129347 + 0.129347i −0.00586732 + 0.00586732i
\(487\) −14.6137 + 3.91573i −0.662211 + 0.177439i −0.574243 0.818685i \(-0.694704\pi\)
−0.0879671 + 0.996123i \(0.528037\pi\)
\(488\) −4.57622 + 1.22619i −0.207156 + 0.0555072i
\(489\) −2.93205 2.93205i −0.132592 0.132592i
\(490\) −4.75440 + 1.76415i −0.214782 + 0.0796961i
\(491\) −11.7579 + 6.78843i −0.530627 + 0.306357i −0.741272 0.671205i \(-0.765777\pi\)
0.210645 + 0.977563i \(0.432444\pi\)
\(492\) 5.48858 + 1.47066i 0.247444 + 0.0663025i
\(493\) 9.51669 0.428610
\(494\) 0.735965 1.79061i 0.0331126 0.0805632i
\(495\) 10.3979i 0.467349i
\(496\) 35.0441 + 9.39005i 1.57353 + 0.421626i
\(497\) −32.8148 22.8248i −1.47194 1.02383i
\(498\) −0.544349 0.314280i −0.0243928 0.0140832i
\(499\) 9.45211 + 9.45211i 0.423135 + 0.423135i 0.886282 0.463147i \(-0.153280\pi\)
−0.463147 + 0.886282i \(0.653280\pi\)
\(500\) 11.4585 + 42.7637i 0.512440 + 1.91245i
\(501\) 3.62497 + 13.5286i 0.161952 + 0.604412i
\(502\) 1.12674 + 1.12674i 0.0502887 + 0.0502887i
\(503\) −1.20476 0.695570i −0.0537177 0.0310140i 0.472901 0.881116i \(-0.343207\pi\)
−0.526618 + 0.850102i \(0.676540\pi\)
\(504\) 1.09618 1.57596i 0.0488278 0.0701987i
\(505\) 5.21852 + 1.39830i 0.232221 + 0.0622234i
\(506\) 4.03217i 0.179252i
\(507\) −12.5752 3.29594i −0.558486 0.146378i
\(508\) 19.9953 0.887149
\(509\) 22.4834 + 6.02441i 0.996559 + 0.267027i 0.720003 0.693971i \(-0.244140\pi\)
0.276556 + 0.960998i \(0.410807\pi\)
\(510\) 1.79691 1.03745i 0.0795684 0.0459389i
\(511\) 0.101139 1.19912i 0.00447415 0.0530461i
\(512\) 9.66738 + 9.66738i 0.427242 + 0.427242i
\(513\) −2.83527 + 0.759707i −0.125180 + 0.0335419i
\(514\) −2.45990 + 0.659129i −0.108502 + 0.0290729i
\(515\) −12.4210 + 12.4210i −0.547335 + 0.547335i
\(516\) −4.78129 2.76048i −0.210484 0.121523i
\(517\) −9.01819 15.6200i −0.396620 0.686965i
\(518\) −3.34162 + 0.599977i −0.146822 + 0.0263615i
\(519\) 15.2625i 0.669947i
\(520\) −9.58291 3.93871i −0.420238 0.172724i
\(521\) 6.02463i 0.263944i 0.991253 + 0.131972i \(0.0421309\pi\)
−0.991253 + 0.131972i \(0.957869\pi\)
\(522\) 0.157314 0.587105i 0.00688547 0.0256969i
\(523\) −2.29311 + 1.32393i −0.100271 + 0.0578914i −0.549297 0.835627i \(-0.685104\pi\)
0.449026 + 0.893519i \(0.351771\pi\)
\(524\) −19.1964 + 33.2491i −0.838598 + 1.45249i
\(525\) 9.58547 26.5938i 0.418344 1.16065i
\(526\) −1.89034 + 0.506514i −0.0824226 + 0.0220851i
\(527\) −7.07670 26.4106i −0.308266 1.15046i
\(528\) −7.05533 7.05533i −0.307044 0.307044i
\(529\) 23.7440 41.1258i 1.03235 1.78808i
\(530\) −1.96782 3.40837i −0.0854767 0.148050i
\(531\) 0.00178613 0.00666592i 7.75114e−5 0.000289276i
\(532\) 13.8211 6.49748i 0.599221 0.281701i
\(533\) −6.31948 + 8.28249i −0.273727 + 0.358754i
\(534\) 0.0378896 0.00163964
\(535\) 13.8595 + 3.71364i 0.599199 + 0.160555i
\(536\) −2.94650 5.10348i −0.127269 0.220437i
\(537\) 4.01190 6.94881i 0.173126 0.299863i
\(538\) −1.19215 + 1.19215i −0.0513974 + 0.0513974i
\(539\) 7.66290 16.7046i 0.330064 0.719518i
\(540\) 2.01574 + 7.52284i 0.0867436 + 0.323732i
\(541\) −22.5427 + 22.5427i −0.969185 + 0.969185i −0.999539 0.0303542i \(-0.990336\pi\)
0.0303542 + 0.999539i \(0.490336\pi\)
\(542\) −0.160874 0.0928807i −0.00691013 0.00398957i
\(543\) −7.86464 + 4.54065i −0.337504 + 0.194858i
\(544\) 1.59104 5.93784i 0.0682152 0.254583i
\(545\) −62.3085 −2.66900
\(546\) 0.946185 + 1.46620i 0.0404930 + 0.0627475i
\(547\) 24.3001 1.03900 0.519500 0.854471i \(-0.326118\pi\)
0.519500 + 0.854471i \(0.326118\pi\)
\(548\) 6.08488 22.7091i 0.259933 0.970084i
\(549\) −5.65469 + 3.26474i −0.241336 + 0.139336i
\(550\) 4.44393 + 2.56570i 0.189490 + 0.109402i
\(551\) 6.89659 6.89659i 0.293805 0.293805i
\(552\) −1.57666 5.88418i −0.0671072 0.250447i
\(553\) 0.478718 + 0.566911i 0.0203572 + 0.0241075i
\(554\) 0.118805 0.118805i 0.00504753 0.00504753i
\(555\) 13.8909 24.0597i 0.589635 1.02128i
\(556\) −16.3825 28.3753i −0.694772 1.20338i
\(557\) −4.94226 1.32427i −0.209410 0.0561113i 0.152589 0.988290i \(-0.451239\pi\)
−0.361999 + 0.932178i \(0.617906\pi\)
\(558\) −1.74631 −0.0739271
\(559\) 8.01376 6.18406i 0.338946 0.261558i
\(560\) −16.9415 36.0371i −0.715909 1.52284i
\(561\) −1.94622 + 7.26338i −0.0821694 + 0.306660i
\(562\) −0.442230 0.765964i −0.0186543 0.0323102i
\(563\) 10.0206 17.3563i 0.422320 0.731480i −0.573846 0.818963i \(-0.694549\pi\)
0.996166 + 0.0874837i \(0.0278826\pi\)
\(564\) 9.55275 + 9.55275i 0.402243 + 0.402243i
\(565\) −5.63274 21.0217i −0.236971 0.884389i
\(566\) −2.80763 + 0.752303i −0.118014 + 0.0316217i
\(567\) 0.897136 2.48901i 0.0376762 0.104528i
\(568\) −5.48106 + 9.49347i −0.229980 + 0.398337i
\(569\) −29.3938 + 16.9705i −1.23225 + 0.711441i −0.967499 0.252875i \(-0.918624\pi\)
−0.264754 + 0.964316i \(0.585291\pi\)
\(570\) 0.550370 2.05401i 0.0230525 0.0860330i
\(571\) 19.5735i 0.819124i 0.912282 + 0.409562i \(0.134319\pi\)
−0.912282 + 0.409562i \(0.865681\pi\)
\(572\) 17.1793 7.17096i 0.718301 0.299833i
\(573\) 20.5142i 0.856994i
\(574\) 1.37641 0.247129i 0.0574500 0.0103150i
\(575\) −44.8521 77.6861i −1.87046 3.23973i
\(576\) 6.24238 + 3.60404i 0.260099 + 0.150168i
\(577\) 32.3003 32.3003i 1.34468 1.34468i 0.453345 0.891335i \(-0.350231\pi\)
0.891335 0.453345i \(-0.149769\pi\)
\(578\) 1.55436 0.416489i 0.0646527 0.0173237i
\(579\) 14.0081 3.75346i 0.582157 0.155988i
\(580\) −18.2988 18.2988i −0.759816 0.759816i
\(581\) 9.05906 + 0.764081i 0.375833 + 0.0316994i
\(582\) −0.120798 + 0.0697425i −0.00500722 + 0.00289092i
\(583\) 13.7771 + 3.69158i 0.570591 + 0.152889i
\(584\) −0.330019 −0.0136563
\(585\) −14.1622 1.82512i −0.585535 0.0754592i
\(586\) 2.70445i 0.111720i
\(587\) 12.7987 + 3.42941i 0.528260 + 0.141547i 0.513084 0.858338i \(-0.328503\pi\)
0.0151751 + 0.999885i \(0.495169\pi\)
\(588\) −2.30573 + 13.5713i −0.0950867 + 0.559671i
\(589\) −24.2677 14.0110i −0.999933 0.577312i
\(590\) 0.00353517 + 0.00353517i 0.000145541 + 0.000145541i
\(591\) −4.65346 17.3669i −0.191418 0.714380i
\(592\) −6.89992 25.7509i −0.283585 1.05835i
\(593\) −28.9194 28.9194i −1.18758 1.18758i −0.977735 0.209843i \(-0.932705\pi\)
−0.209843 0.977735i \(-0.567295\pi\)
\(594\) 0.415922 + 0.240133i 0.0170655 + 0.00985277i
\(595\) −17.1364 + 24.6367i −0.702525 + 1.01000i
\(596\) 29.0268 + 7.77770i 1.18898 + 0.318587i
\(597\) 3.27786i 0.134154i
\(598\) 5.49194 + 0.707759i 0.224582 + 0.0289424i
\(599\) 10.2540 0.418967 0.209484 0.977812i \(-0.432822\pi\)
0.209484 + 0.977812i \(0.432822\pi\)
\(600\) −7.48830 2.00649i −0.305709 0.0819144i
\(601\) −27.4693 + 15.8594i −1.12050 + 0.646919i −0.941528 0.336936i \(-0.890610\pi\)
−0.178969 + 0.983855i \(0.557276\pi\)
\(602\) −1.35392 0.114196i −0.0551818 0.00465428i
\(603\) −5.74297 5.74297i −0.233872 0.233872i
\(604\) −20.1574 + 5.40116i −0.820194 + 0.219770i
\(605\) 15.7105 4.20961i 0.638722 0.171145i
\(606\) −0.176452 + 0.176452i −0.00716786 + 0.00716786i
\(607\) 23.1914 + 13.3895i 0.941309 + 0.543465i 0.890370 0.455237i \(-0.150445\pi\)
0.0509383 + 0.998702i \(0.483779\pi\)
\(608\) −3.15005 5.45605i −0.127752 0.221272i
\(609\) 1.55359 + 8.65284i 0.0629547 + 0.350631i
\(610\) 4.73028i 0.191523i
\(611\) −22.8578 + 9.54130i −0.924727 + 0.386000i
\(612\) 5.63234i 0.227674i
\(613\) 8.17678 30.5162i 0.330257 1.23254i −0.578663 0.815567i \(-0.696425\pi\)
0.908920 0.416970i \(-0.136908\pi\)
\(614\) 2.68169 1.54827i 0.108224 0.0624833i
\(615\) −5.72163 + 9.91015i −0.230718 + 0.399616i
\(616\) −4.74154 1.70904i −0.191042 0.0688591i
\(617\) 35.9374 9.62939i 1.44678 0.387665i 0.551880 0.833923i \(-0.313911\pi\)
0.894904 + 0.446259i \(0.147244\pi\)
\(618\) −0.209993 0.783706i −0.00844717 0.0315253i
\(619\) −13.9520 13.9520i −0.560777 0.560777i 0.368751 0.929528i \(-0.379785\pi\)
−0.929528 + 0.368751i \(0.879785\pi\)
\(620\) −37.1754 + 64.3897i −1.49300 + 2.58595i
\(621\) −4.19786 7.27090i −0.168454 0.291771i
\(622\) −1.05589 + 3.94062i −0.0423372 + 0.158005i
\(623\) −0.495949 + 0.233152i −0.0198698 + 0.00934104i
\(624\) −10.8480 + 8.37115i −0.434266 + 0.335114i
\(625\) −35.7364 −1.42945
\(626\) 3.84535 + 1.03036i 0.153691 + 0.0411814i
\(627\) 3.85326 + 6.67405i 0.153884 + 0.266536i
\(628\) 13.2615 22.9695i 0.529190 0.916585i
\(629\) −14.2068 + 14.2068i −0.566462 + 0.566462i
\(630\) 1.23662 + 1.46444i 0.0492680 + 0.0583446i
\(631\) −2.16532 8.08109i −0.0862001 0.321703i 0.909339 0.416057i \(-0.136588\pi\)
−0.995539 + 0.0943536i \(0.969922\pi\)
\(632\) 0.143887 0.143887i 0.00572353 0.00572353i
\(633\) 21.6946 + 12.5254i 0.862283 + 0.497840i
\(634\) 0.870873 0.502799i 0.0345868 0.0199687i
\(635\) −10.4222 + 38.8960i −0.413591 + 1.54354i
\(636\) −10.6834 −0.423624
\(637\) −21.4071 13.3692i −0.848180 0.529708i
\(638\) −1.59581 −0.0631787
\(639\) −3.91026 + 14.5933i −0.154688 + 0.577302i
\(640\) −19.2452 + 11.1112i −0.760734 + 0.439210i
\(641\) −19.7158 11.3829i −0.778726 0.449598i 0.0572524 0.998360i \(-0.481766\pi\)
−0.835979 + 0.548762i \(0.815099\pi\)
\(642\) −0.468626 + 0.468626i −0.0184952 + 0.0184952i
\(643\) 3.68359 + 13.7474i 0.145267 + 0.542143i 0.999743 + 0.0226531i \(0.00721132\pi\)
−0.854477 + 0.519490i \(0.826122\pi\)
\(644\) 28.1830 + 33.3751i 1.11057 + 1.31516i
\(645\) 7.86199 7.86199i 0.309565 0.309565i
\(646\) −0.768917 + 1.33180i −0.0302527 + 0.0523991i
\(647\) 22.6826 + 39.2874i 0.891744 + 1.54455i 0.837783 + 0.546003i \(0.183851\pi\)
0.0539612 + 0.998543i \(0.482815\pi\)
\(648\) −0.700855 0.187794i −0.0275322 0.00737723i
\(649\) −0.0181186 −0.000711218
\(650\) 4.27460 5.60241i 0.167663 0.219745i
\(651\) 22.8580 10.7458i 0.895875 0.421163i
\(652\) 2.11050 7.87648i 0.0826534 0.308467i
\(653\) 5.43437 + 9.41260i 0.212663 + 0.368344i 0.952547 0.304391i \(-0.0984529\pi\)
−0.739884 + 0.672735i \(0.765120\pi\)
\(654\) 1.43898 2.49238i 0.0562685 0.0974599i
\(655\) −54.6723 54.6723i −2.13622 2.13622i
\(656\) 2.84206 + 10.6067i 0.110964 + 0.414123i
\(657\) −0.439338 + 0.117720i −0.0171402 + 0.00459270i
\(658\) 3.12781 + 1.12738i 0.121935 + 0.0439500i
\(659\) −4.13172 + 7.15635i −0.160949 + 0.278772i −0.935209 0.354096i \(-0.884789\pi\)
0.774260 + 0.632867i \(0.218122\pi\)
\(660\) 17.7083 10.2239i 0.689295 0.397965i
\(661\) −0.844712 + 3.15251i −0.0328555 + 0.122618i −0.980406 0.196988i \(-0.936884\pi\)
0.947550 + 0.319606i \(0.103551\pi\)
\(662\) 3.34138i 0.129867i
\(663\) 9.55132 + 3.92573i 0.370943 + 0.152463i
\(664\) 2.49321i 0.0967552i
\(665\) 5.43529 + 30.2723i 0.210772 + 1.17391i
\(666\) 0.641604 + 1.11129i 0.0248617 + 0.0430617i
\(667\) 24.1595 + 13.9485i 0.935459 + 0.540088i
\(668\) −19.4758 + 19.4758i −0.753542 + 0.753542i
\(669\) −9.63125 + 2.58069i −0.372366 + 0.0997751i
\(670\) 5.68334 1.52285i 0.219567 0.0588327i
\(671\) 12.1219 + 12.1219i 0.467962 + 0.467962i
\(672\) 5.65858 + 0.477270i 0.218285 + 0.0184111i
\(673\) −29.2655 + 16.8964i −1.12810 + 0.651310i −0.943457 0.331495i \(-0.892447\pi\)
−0.184645 + 0.982805i \(0.559114\pi\)
\(674\) −2.20697 0.591357i −0.0850095 0.0227782i
\(675\) −10.6845 −0.411247
\(676\) −6.75162 24.6573i −0.259678 0.948360i
\(677\) 26.7526i 1.02819i 0.857734 + 0.514093i \(0.171871\pi\)
−0.857734 + 0.514093i \(0.828129\pi\)
\(678\) 0.970968 + 0.260170i 0.0372898 + 0.00999177i
\(679\) 1.15200 1.65621i 0.0442097 0.0635593i
\(680\) 7.12751 + 4.11507i 0.273327 + 0.157806i
\(681\) −11.0727 11.0727i −0.424307 0.424307i
\(682\) 1.18666 + 4.42867i 0.0454395 + 0.169583i
\(683\) −4.61892 17.2380i −0.176738 0.659595i −0.996249 0.0865317i \(-0.972422\pi\)
0.819511 0.573063i \(-0.194245\pi\)
\(684\) −4.08167 4.08167i −0.156066 0.156066i
\(685\) 41.0034 + 23.6733i 1.56666 + 0.904511i
\(686\) 0.907434 + 3.26403i 0.0346460 + 0.124621i
\(687\) 2.17375 + 0.582456i 0.0829339 + 0.0222221i
\(688\) 10.6693i 0.406763i
\(689\) 7.44631 18.1169i 0.283682 0.690199i
\(690\) 6.08228 0.231548
\(691\) −28.7650 7.70756i −1.09427 0.293209i −0.333842 0.942629i \(-0.608345\pi\)
−0.760430 + 0.649420i \(0.775012\pi\)
\(692\) 25.9931 15.0071i 0.988108 0.570484i
\(693\) −6.92179 0.583814i −0.262937 0.0221773i
\(694\) 0.699792 + 0.699792i 0.0265637 + 0.0265637i
\(695\) 63.7363 17.0781i 2.41766 0.647809i
\(696\) 2.32878 0.623994i 0.0882720 0.0236524i
\(697\) 5.85175 5.85175i 0.221651 0.221651i
\(698\) −0.981627 0.566743i −0.0371551 0.0214515i
\(699\) 4.24841 + 7.35846i 0.160690 + 0.278323i
\(700\) 54.7163 9.82415i 2.06808 0.371318i
\(701\) 23.3038i 0.880172i 0.897956 + 0.440086i \(0.145052\pi\)
−0.897956 + 0.440086i \(0.854948\pi\)
\(702\) 0.400074 0.524348i 0.0150998 0.0197902i
\(703\) 20.5909i 0.776599i
\(704\) 4.89806 18.2798i 0.184603 0.688947i
\(705\) −23.5617 + 13.6034i −0.887386 + 0.512333i
\(706\) −3.22910 + 5.59297i −0.121529 + 0.210494i
\(707\) 1.22384 3.39542i 0.0460274 0.127698i
\(708\) 0.0131088 0.00351249i 0.000492659 0.000132007i
\(709\) 2.40630 + 8.98045i 0.0903706 + 0.337268i 0.996277 0.0862104i \(-0.0274757\pi\)
−0.905906 + 0.423478i \(0.860809\pi\)
\(710\) −7.73933 7.73933i −0.290452 0.290452i
\(711\) 0.140224 0.242875i 0.00525882 0.00910854i
\(712\) 0.0751452 + 0.130155i 0.00281619 + 0.00487778i
\(713\) 20.7444 77.4193i 0.776886 2.89938i
\(714\) −0.589728 1.25444i −0.0220700 0.0469462i
\(715\) 4.99502 + 37.1558i 0.186803 + 1.38955i
\(716\) 15.7791 0.589693
\(717\) −9.39768 2.51810i −0.350963 0.0940402i
\(718\) −1.01070 1.75059i −0.0377191 0.0653315i
\(719\) −7.87045 + 13.6320i −0.293518 + 0.508388i −0.974639 0.223783i \(-0.928159\pi\)
0.681121 + 0.732171i \(0.261493\pi\)
\(720\) −10.6425 + 10.6425i −0.396623 + 0.396623i
\(721\) 7.57117 + 8.96599i 0.281965 + 0.333911i
\(722\) −0.491630 1.83479i −0.0182966 0.0682838i
\(723\) −14.5040 + 14.5040i −0.539409 + 0.539409i
\(724\) −15.4661 8.92936i −0.574793 0.331857i
\(725\) 30.7457 17.7511i 1.14187 0.659258i
\(726\) −0.194437 + 0.725649i −0.00721624 + 0.0269314i
\(727\) −5.72068 −0.212168 −0.106084 0.994357i \(-0.533831\pi\)
−0.106084 + 0.994357i \(0.533831\pi\)
\(728\) −3.16003 + 6.15813i −0.117118 + 0.228235i
\(729\) −1.00000 −0.0370370
\(730\) 0.0852824 0.318278i 0.00315644 0.0117800i
\(731\) −6.96352 + 4.02039i −0.257555 + 0.148700i
\(732\) −11.1202 6.42023i −0.411013 0.237298i
\(733\) −12.5077 + 12.5077i −0.461982 + 0.461982i −0.899305 0.437322i \(-0.855927\pi\)
0.437322 + 0.899305i \(0.355927\pi\)
\(734\) 1.06225 + 3.96439i 0.0392085 + 0.146328i
\(735\) −25.1978 11.5590i −0.929436 0.426360i
\(736\) 12.7421 12.7421i 0.469680 0.469680i
\(737\) −10.6618 + 18.4668i −0.392732 + 0.680232i
\(738\) −0.264276 0.457739i −0.00972812 0.0168496i
\(739\) 34.5884 + 9.26794i 1.27236 + 0.340927i 0.830933 0.556372i \(-0.187807\pi\)
0.441423 + 0.897299i \(0.354474\pi\)
\(740\) 54.6339 2.00838
\(741\) 9.76660 4.07677i 0.358785 0.149764i
\(742\) −2.37941 + 1.11859i −0.0873510 + 0.0410649i
\(743\) −1.35076 + 5.04112i −0.0495547 + 0.184941i −0.986267 0.165160i \(-0.947186\pi\)
0.936712 + 0.350101i \(0.113853\pi\)
\(744\) −3.46340 5.99879i −0.126974 0.219926i
\(745\) −30.2593 + 52.4106i −1.10861 + 1.92017i
\(746\) 0.894109 + 0.894109i 0.0327357 + 0.0327357i
\(747\) −0.889344 3.31908i −0.0325394 0.121439i
\(748\) −14.2837 + 3.82731i −0.522265 + 0.139940i
\(749\) 3.25032 9.01766i 0.118764 0.329498i
\(750\) 2.05908 3.56642i 0.0751868 0.130227i
\(751\) 24.9221 14.3888i 0.909421 0.525055i 0.0291764 0.999574i \(-0.490712\pi\)
0.880245 + 0.474520i \(0.157378\pi\)
\(752\) −6.75711 + 25.2179i −0.246406 + 0.919601i
\(753\) 8.71092i 0.317444i
\(754\) −0.280109 + 2.17354i −0.0102010 + 0.0791556i
\(755\) 42.0266i 1.52950i
\(756\) 5.12108 0.919475i 0.186252 0.0334410i
\(757\) 8.90997 + 15.4325i 0.323838 + 0.560905i 0.981277 0.192604i \(-0.0616933\pi\)
−0.657438 + 0.753508i \(0.728360\pi\)
\(758\) −1.32557 0.765320i −0.0481470 0.0277977i
\(759\) −15.5866 + 15.5866i −0.565758 + 0.565758i
\(760\) 8.14731 2.18306i 0.295534 0.0791881i
\(761\) 52.7426 14.1323i 1.91192 0.512296i 0.918872 0.394556i \(-0.129101\pi\)
0.993044 0.117741i \(-0.0375652\pi\)
\(762\) −1.31518 1.31518i −0.0476438 0.0476438i
\(763\) −3.49846 + 41.4783i −0.126653 + 1.50162i
\(764\) −34.9372 + 20.1710i −1.26398 + 0.729761i
\(765\) 10.9564 + 2.93575i 0.396128 + 0.106142i
\(766\) 0.404738 0.0146238
\(767\) −0.00318032 + 0.0246781i −0.000114835 + 0.000891074i
\(768\) 13.3897i 0.483160i
\(769\) 23.1319 + 6.19819i 0.834159 + 0.223512i 0.650527 0.759483i \(-0.274548\pi\)
0.183632 + 0.982995i \(0.441215\pi\)
\(770\) 2.87353 4.13120i 0.103555 0.148878i
\(771\) −12.0568 6.96099i −0.434215 0.250694i
\(772\) 20.1661 + 20.1661i 0.725795 + 0.725795i
\(773\) −10.0708 37.5846i −0.362221 1.35183i −0.871150 0.491017i \(-0.836625\pi\)