Properties

Label 260.2.p.d.103.4
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 103.4
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31170 + 0.528615i) q^{2} +(-0.834468 + 0.834468i) q^{3} +(1.44113 - 1.38677i) q^{4} +(-0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 + 1.21162i) q^{7} +(-1.15727 + 2.58084i) q^{8} +1.60733i q^{9} +O(q^{10})\) \(q+(-1.31170 + 0.528615i) q^{2} +(-0.834468 + 0.834468i) q^{3} +(1.44113 - 1.38677i) q^{4} +(-0.462357 - 2.18774i) q^{5} +(0.653463 - 1.53569i) q^{6} +(-1.21162 + 1.21162i) q^{7} +(-1.15727 + 2.58084i) q^{8} +1.60733i q^{9} +(1.76295 + 2.62526i) q^{10} +0.135866 q^{11} +(-0.0453632 + 2.35980i) q^{12} +(1.01757 + 3.45898i) q^{13} +(0.948804 - 2.22976i) q^{14} +(2.21142 + 1.43978i) q^{15} +(0.153730 - 3.99704i) q^{16} +(-1.10965 + 1.10965i) q^{17} +(-0.849657 - 2.10834i) q^{18} +6.12150i q^{19} +(-3.70022 - 2.51165i) q^{20} -2.02211i q^{21} +(-0.178217 + 0.0718210i) q^{22} +(-4.72792 + 4.72792i) q^{23} +(-1.18792 - 3.11933i) q^{24} +(-4.57245 + 2.02304i) q^{25} +(-3.16322 - 3.99926i) q^{26} +(-3.84467 - 3.84467i) q^{27} +(-0.0658656 + 3.42634i) q^{28} -4.39615i q^{29} +(-3.66182 - 0.719575i) q^{30} -3.12087 q^{31} +(1.91125 + 5.32420i) q^{32} +(-0.113376 + 0.113376i) q^{33} +(0.868956 - 2.04211i) q^{34} +(3.21091 + 2.09051i) q^{35} +(2.22900 + 2.31637i) q^{36} +(6.39942 + 6.39942i) q^{37} +(-3.23592 - 8.02960i) q^{38} +(-3.73554 - 2.03728i) q^{39} +(6.18129 + 1.33855i) q^{40} +2.92506i q^{41} +(1.06892 + 2.65241i) q^{42} +(-1.51561 + 1.51561i) q^{43} +(0.195802 - 0.188416i) q^{44} +(3.51642 - 0.743158i) q^{45} +(3.70239 - 8.70089i) q^{46} +(8.14297 - 8.14297i) q^{47} +(3.20712 + 3.46369i) q^{48} +4.06397i q^{49} +(4.92830 - 5.07069i) q^{50} -1.85194i q^{51} +(6.26327 + 3.57372i) q^{52} +(-5.39849 - 5.39849i) q^{53} +(7.07541 + 3.01072i) q^{54} +(-0.0628188 - 0.297241i) q^{55} +(-1.72481 - 4.52915i) q^{56} +(-5.10820 - 5.10820i) q^{57} +(2.32387 + 5.76645i) q^{58} +5.47588i q^{59} +(5.18360 - 0.991824i) q^{60} +11.7875 q^{61} +(4.09366 - 1.64974i) q^{62} +(-1.94746 - 1.94746i) q^{63} +(-5.32144 - 5.97346i) q^{64} +(7.09689 - 3.82547i) q^{65} +(0.0887836 - 0.208648i) q^{66} +(7.10562 - 7.10562i) q^{67} +(-0.0603226 + 3.13799i) q^{68} -7.89060i q^{69} +(-5.31683 - 1.04480i) q^{70} -4.49049 q^{71} +(-4.14825 - 1.86011i) q^{72} +(-6.04423 + 6.04423i) q^{73} +(-11.7770 - 5.01132i) q^{74} +(2.12741 - 5.50372i) q^{75} +(8.48913 + 8.82190i) q^{76} +(-0.164618 + 0.164618i) q^{77} +(5.97685 + 0.697647i) q^{78} -0.944179 q^{79} +(-8.81559 + 1.51174i) q^{80} +1.59452 q^{81} +(-1.54623 - 3.83681i) q^{82} +(-4.61273 - 4.61273i) q^{83} +(-2.80420 - 2.91413i) q^{84} +(2.94069 + 1.91458i) q^{85} +(1.18686 - 2.78920i) q^{86} +(3.66845 + 3.66845i) q^{87} +(-0.157234 + 0.350649i) q^{88} -3.22796 q^{89} +(-4.21966 + 2.83364i) q^{90} +(-5.42386 - 2.95805i) q^{91} +(-0.257018 + 13.3701i) q^{92} +(2.60427 - 2.60427i) q^{93} +(-6.37667 + 14.9857i) q^{94} +(13.3923 - 2.83032i) q^{95} +(-6.03775 - 2.84800i) q^{96} +(-2.31733 - 2.31733i) q^{97} +(-2.14827 - 5.33073i) q^{98} +0.218382i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31170 + 0.528615i −0.927515 + 0.373787i
\(3\) −0.834468 + 0.834468i −0.481780 + 0.481780i −0.905700 0.423920i \(-0.860654\pi\)
0.423920 + 0.905700i \(0.360654\pi\)
\(4\) 1.44113 1.38677i 0.720567 0.693386i
\(5\) −0.462357 2.18774i −0.206772 0.978389i
\(6\) 0.653463 1.53569i 0.266775 0.626941i
\(7\) −1.21162 + 1.21162i −0.457948 + 0.457948i −0.897981 0.440033i \(-0.854967\pi\)
0.440033 + 0.897981i \(0.354967\pi\)
\(8\) −1.15727 + 2.58084i −0.409158 + 0.912464i
\(9\) 1.60733i 0.535776i
\(10\) 1.76295 + 2.62526i 0.557493 + 0.830181i
\(11\) 0.135866 0.0409653 0.0204826 0.999790i \(-0.493480\pi\)
0.0204826 + 0.999790i \(0.493480\pi\)
\(12\) −0.0453632 + 2.35980i −0.0130952 + 0.681214i
\(13\) 1.01757 + 3.45898i 0.282223 + 0.959349i
\(14\) 0.948804 2.22976i 0.253578 0.595928i
\(15\) 2.21142 + 1.43978i 0.570987 + 0.371750i
\(16\) 0.153730 3.99704i 0.0384325 0.999261i
\(17\) −1.10965 + 1.10965i −0.269130 + 0.269130i −0.828750 0.559620i \(-0.810947\pi\)
0.559620 + 0.828750i \(0.310947\pi\)
\(18\) −0.849657 2.10834i −0.200266 0.496940i
\(19\) 6.12150i 1.40437i 0.711995 + 0.702185i \(0.247792\pi\)
−0.711995 + 0.702185i \(0.752208\pi\)
\(20\) −3.70022 2.51165i −0.827394 0.561622i
\(21\) 2.02211i 0.441261i
\(22\) −0.178217 + 0.0718210i −0.0379959 + 0.0153123i
\(23\) −4.72792 + 4.72792i −0.985840 + 0.985840i −0.999901 0.0140607i \(-0.995524\pi\)
0.0140607 + 0.999901i \(0.495524\pi\)
\(24\) −1.18792 3.11933i −0.242483 0.636731i
\(25\) −4.57245 + 2.02304i −0.914491 + 0.404607i
\(26\) −3.16322 3.99926i −0.620358 0.784319i
\(27\) −3.84467 3.84467i −0.739906 0.739906i
\(28\) −0.0658656 + 3.42634i −0.0124474 + 0.647517i
\(29\) 4.39615i 0.816345i −0.912905 0.408172i \(-0.866166\pi\)
0.912905 0.408172i \(-0.133834\pi\)
\(30\) −3.66182 0.719575i −0.668554 0.131376i
\(31\) −3.12087 −0.560525 −0.280263 0.959923i \(-0.590422\pi\)
−0.280263 + 0.959923i \(0.590422\pi\)
\(32\) 1.91125 + 5.32420i 0.337864 + 0.941195i
\(33\) −0.113376 + 0.113376i −0.0197363 + 0.0197363i
\(34\) 0.868956 2.04211i 0.149025 0.350219i
\(35\) 3.21091 + 2.09051i 0.542742 + 0.353360i
\(36\) 2.22900 + 2.31637i 0.371499 + 0.386062i
\(37\) 6.39942 + 6.39942i 1.05206 + 1.05206i 0.998568 + 0.0534895i \(0.0170344\pi\)
0.0534895 + 0.998568i \(0.482966\pi\)
\(38\) −3.23592 8.02960i −0.524935 1.30257i
\(39\) −3.73554 2.03728i −0.598165 0.326226i
\(40\) 6.18129 + 1.33855i 0.977347 + 0.211643i
\(41\) 2.92506i 0.456817i 0.973565 + 0.228409i \(0.0733522\pi\)
−0.973565 + 0.228409i \(0.926648\pi\)
\(42\) 1.06892 + 2.65241i 0.164937 + 0.409276i
\(43\) −1.51561 + 1.51561i −0.231128 + 0.231128i −0.813163 0.582035i \(-0.802256\pi\)
0.582035 + 0.813163i \(0.302256\pi\)
\(44\) 0.195802 0.188416i 0.0295182 0.0284047i
\(45\) 3.51642 0.743158i 0.524197 0.110784i
\(46\) 3.70239 8.70089i 0.545887 1.28288i
\(47\) 8.14297 8.14297i 1.18777 1.18777i 0.210093 0.977681i \(-0.432623\pi\)
0.977681 0.210093i \(-0.0673766\pi\)
\(48\) 3.20712 + 3.46369i 0.462908 + 0.499940i
\(49\) 4.06397i 0.580567i
\(50\) 4.92830 5.07069i 0.696966 0.717104i
\(51\) 1.85194i 0.259323i
\(52\) 6.26327 + 3.57372i 0.868559 + 0.495585i
\(53\) −5.39849 5.39849i −0.741540 0.741540i 0.231334 0.972874i \(-0.425691\pi\)
−0.972874 + 0.231334i \(0.925691\pi\)
\(54\) 7.07541 + 3.01072i 0.962841 + 0.409707i
\(55\) −0.0628188 0.297241i −0.00847048 0.0400800i
\(56\) −1.72481 4.52915i −0.230488 0.605234i
\(57\) −5.10820 5.10820i −0.676597 0.676597i
\(58\) 2.32387 + 5.76645i 0.305139 + 0.757172i
\(59\) 5.47588i 0.712899i 0.934315 + 0.356449i \(0.116013\pi\)
−0.934315 + 0.356449i \(0.883987\pi\)
\(60\) 5.18360 0.991824i 0.669200 0.128044i
\(61\) 11.7875 1.50923 0.754616 0.656167i \(-0.227823\pi\)
0.754616 + 0.656167i \(0.227823\pi\)
\(62\) 4.09366 1.64974i 0.519895 0.209517i
\(63\) −1.94746 1.94746i −0.245357 0.245357i
\(64\) −5.32144 5.97346i −0.665180 0.746683i
\(65\) 7.09689 3.82547i 0.880261 0.474491i
\(66\) 0.0887836 0.208648i 0.0109285 0.0256828i
\(67\) 7.10562 7.10562i 0.868089 0.868089i −0.124172 0.992261i \(-0.539627\pi\)
0.992261 + 0.124172i \(0.0396273\pi\)
\(68\) −0.0603226 + 3.13799i −0.00731519 + 0.380537i
\(69\) 7.89060i 0.949917i
\(70\) −5.31683 1.04480i −0.635483 0.124877i
\(71\) −4.49049 −0.532923 −0.266461 0.963846i \(-0.585854\pi\)
−0.266461 + 0.963846i \(0.585854\pi\)
\(72\) −4.14825 1.86011i −0.488876 0.219217i
\(73\) −6.04423 + 6.04423i −0.707424 + 0.707424i −0.965993 0.258569i \(-0.916749\pi\)
0.258569 + 0.965993i \(0.416749\pi\)
\(74\) −11.7770 5.01132i −1.36904 0.582554i
\(75\) 2.12741 5.50372i 0.245652 0.635515i
\(76\) 8.48913 + 8.82190i 0.973769 + 1.01194i
\(77\) −0.164618 + 0.164618i −0.0187600 + 0.0187600i
\(78\) 5.97685 + 0.697647i 0.676745 + 0.0789930i
\(79\) −0.944179 −0.106228 −0.0531142 0.998588i \(-0.516915\pi\)
−0.0531142 + 0.998588i \(0.516915\pi\)
\(80\) −8.81559 + 1.51174i −0.985613 + 0.169017i
\(81\) 1.59452 0.177169
\(82\) −1.54623 3.83681i −0.170752 0.423705i
\(83\) −4.61273 4.61273i −0.506313 0.506313i 0.407079 0.913393i \(-0.366547\pi\)
−0.913393 + 0.407079i \(0.866547\pi\)
\(84\) −2.80420 2.91413i −0.305964 0.317958i
\(85\) 2.94069 + 1.91458i 0.318962 + 0.207665i
\(86\) 1.18686 2.78920i 0.127982 0.300767i
\(87\) 3.66845 + 3.66845i 0.393299 + 0.393299i
\(88\) −0.157234 + 0.350649i −0.0167613 + 0.0373793i
\(89\) −3.22796 −0.342163 −0.171082 0.985257i \(-0.554726\pi\)
−0.171082 + 0.985257i \(0.554726\pi\)
\(90\) −4.21966 + 2.83364i −0.444791 + 0.298691i
\(91\) −5.42386 2.95805i −0.568575 0.310088i
\(92\) −0.257018 + 13.3701i −0.0267960 + 1.39393i
\(93\) 2.60427 2.60427i 0.270050 0.270050i
\(94\) −6.37667 + 14.9857i −0.657703 + 1.54565i
\(95\) 13.3923 2.83032i 1.37402 0.290384i
\(96\) −6.03775 2.84800i −0.616225 0.290673i
\(97\) −2.31733 2.31733i −0.235289 0.235289i 0.579607 0.814896i \(-0.303206\pi\)
−0.814896 + 0.579607i \(0.803206\pi\)
\(98\) −2.14827 5.33073i −0.217009 0.538485i
\(99\) 0.218382i 0.0219482i
\(100\) −3.78402 + 9.25641i −0.378402 + 0.925641i
\(101\) 2.63267 0.261960 0.130980 0.991385i \(-0.458188\pi\)
0.130980 + 0.991385i \(0.458188\pi\)
\(102\) 0.978961 + 2.42919i 0.0969316 + 0.240526i
\(103\) 7.36490 7.36490i 0.725685 0.725685i −0.244072 0.969757i \(-0.578483\pi\)
0.969757 + 0.244072i \(0.0784833\pi\)
\(104\) −10.1047 1.37680i −0.990845 0.135006i
\(105\) −4.42386 + 0.934936i −0.431724 + 0.0912404i
\(106\) 9.93494 + 4.22750i 0.964967 + 0.410611i
\(107\) 11.9158 + 11.9158i 1.15194 + 1.15194i 0.986163 + 0.165780i \(0.0530141\pi\)
0.165780 + 0.986163i \(0.446986\pi\)
\(108\) −10.8723 0.209003i −1.04619 0.0201113i
\(109\) 1.57023 0.150401 0.0752004 0.997168i \(-0.476040\pi\)
0.0752004 + 0.997168i \(0.476040\pi\)
\(110\) 0.239526 + 0.356685i 0.0228379 + 0.0340086i
\(111\) −10.6802 −1.01372
\(112\) 4.65662 + 5.02915i 0.440010 + 0.475210i
\(113\) 0.755135 + 0.755135i 0.0710371 + 0.0710371i 0.741733 0.670696i \(-0.234004\pi\)
−0.670696 + 0.741733i \(0.734004\pi\)
\(114\) 9.40071 + 4.00017i 0.880457 + 0.374651i
\(115\) 12.5295 + 8.15750i 1.16838 + 0.760691i
\(116\) −6.09646 6.33544i −0.566042 0.588231i
\(117\) −5.55971 + 1.63557i −0.513996 + 0.151208i
\(118\) −2.89463 7.18273i −0.266472 0.661224i
\(119\) 2.68894i 0.246495i
\(120\) −6.27506 + 4.04111i −0.572832 + 0.368901i
\(121\) −10.9815 −0.998322
\(122\) −15.4617 + 6.23103i −1.39983 + 0.564131i
\(123\) −2.44087 2.44087i −0.220085 0.220085i
\(124\) −4.49759 + 4.32794i −0.403896 + 0.388660i
\(125\) 6.53999 + 9.06799i 0.584955 + 0.811066i
\(126\) 3.58395 + 1.52504i 0.319284 + 0.135861i
\(127\) −15.1631 15.1631i −1.34551 1.34551i −0.890472 0.455037i \(-0.849626\pi\)
−0.455037 0.890472i \(-0.650374\pi\)
\(128\) 10.1378 + 5.02242i 0.896065 + 0.443923i
\(129\) 2.52945i 0.222706i
\(130\) −7.28682 + 8.76940i −0.639096 + 0.769127i
\(131\) 0.235056i 0.0205370i 0.999947 + 0.0102685i \(0.00326862\pi\)
−0.999947 + 0.0102685i \(0.996731\pi\)
\(132\) −0.00616333 + 0.320617i −0.000536449 + 0.0279061i
\(133\) −7.41691 7.41691i −0.643128 0.643128i
\(134\) −5.56433 + 13.0766i −0.480685 + 1.12965i
\(135\) −6.63354 + 10.1888i −0.570924 + 0.876908i
\(136\) −1.57966 4.14800i −0.135455 0.355688i
\(137\) −12.2710 12.2710i −1.04838 1.04838i −0.998768 0.0496147i \(-0.984201\pi\)
−0.0496147 0.998768i \(-0.515799\pi\)
\(138\) 4.17109 + 10.3501i 0.355067 + 0.881062i
\(139\) 19.6129 1.66354 0.831772 0.555117i \(-0.187327\pi\)
0.831772 + 0.555117i \(0.187327\pi\)
\(140\) 7.52640 1.44009i 0.636097 0.121710i
\(141\) 13.5901i 1.14449i
\(142\) 5.89019 2.37374i 0.494294 0.199200i
\(143\) 0.138254 + 0.469960i 0.0115613 + 0.0393000i
\(144\) 6.42456 + 0.247094i 0.535380 + 0.0205912i
\(145\) −9.61766 + 2.03259i −0.798703 + 0.168797i
\(146\) 4.73317 11.1233i 0.391720 0.920572i
\(147\) −3.39125 3.39125i −0.279706 0.279706i
\(148\) 18.0969 + 0.347884i 1.48756 + 0.0285959i
\(149\) −2.39818 −0.196467 −0.0982333 0.995163i \(-0.531319\pi\)
−0.0982333 + 0.995163i \(0.531319\pi\)
\(150\) 0.118822 + 8.34383i 0.00970181 + 0.681271i
\(151\) 5.63264 0.458378 0.229189 0.973382i \(-0.426393\pi\)
0.229189 + 0.973382i \(0.426393\pi\)
\(152\) −15.7986 7.08424i −1.28144 0.574608i
\(153\) −1.78357 1.78357i −0.144193 0.144193i
\(154\) 0.128911 0.302950i 0.0103879 0.0244124i
\(155\) 1.44296 + 6.82767i 0.115901 + 0.548412i
\(156\) −8.20865 + 2.24435i −0.657218 + 0.179691i
\(157\) −3.62360 + 3.62360i −0.289195 + 0.289195i −0.836762 0.547567i \(-0.815554\pi\)
0.547567 + 0.836762i \(0.315554\pi\)
\(158\) 1.23848 0.499107i 0.0985284 0.0397068i
\(159\) 9.00974 0.714519
\(160\) 10.7643 6.64300i 0.850994 0.525175i
\(161\) 11.4569i 0.902927i
\(162\) −2.09154 + 0.842886i −0.164327 + 0.0662233i
\(163\) −6.40798 6.40798i −0.501911 0.501911i 0.410120 0.912032i \(-0.365487\pi\)
−0.912032 + 0.410120i \(0.865487\pi\)
\(164\) 4.05639 + 4.21540i 0.316751 + 0.329167i
\(165\) 0.300458 + 0.195618i 0.0233906 + 0.0152288i
\(166\) 8.48890 + 3.61218i 0.658866 + 0.280360i
\(167\) 5.94641 5.94641i 0.460147 0.460147i −0.438556 0.898704i \(-0.644510\pi\)
0.898704 + 0.438556i \(0.144510\pi\)
\(168\) 5.21874 + 2.34013i 0.402634 + 0.180545i
\(169\) −10.9291 + 7.03951i −0.840700 + 0.541501i
\(170\) −4.86939 0.956870i −0.373465 0.0733886i
\(171\) −9.83926 −0.752427
\(172\) −0.0823911 + 4.28599i −0.00628226 + 0.326804i
\(173\) 8.64623 + 8.64623i 0.657361 + 0.657361i 0.954755 0.297394i \(-0.0961175\pi\)
−0.297394 + 0.954755i \(0.596117\pi\)
\(174\) −6.75111 2.87272i −0.511800 0.217780i
\(175\) 3.08891 7.99120i 0.233500 0.604078i
\(176\) 0.0208867 0.543064i 0.00157440 0.0409350i
\(177\) −4.56944 4.56944i −0.343460 0.343460i
\(178\) 4.23413 1.70635i 0.317361 0.127896i
\(179\) −12.7865 −0.955706 −0.477853 0.878440i \(-0.658585\pi\)
−0.477853 + 0.878440i \(0.658585\pi\)
\(180\) 4.03704 5.94746i 0.300903 0.443298i
\(181\) −4.48458 −0.333337 −0.166668 0.986013i \(-0.553301\pi\)
−0.166668 + 0.986013i \(0.553301\pi\)
\(182\) 8.67817 + 1.01296i 0.643269 + 0.0750854i
\(183\) −9.83627 + 9.83627i −0.727118 + 0.727118i
\(184\) −6.73051 17.6735i −0.496180 1.30291i
\(185\) 11.0415 16.9591i 0.811786 1.24686i
\(186\) −2.03937 + 4.79268i −0.149534 + 0.351416i
\(187\) −0.150764 + 0.150764i −0.0110250 + 0.0110250i
\(188\) 0.442666 23.0275i 0.0322848 1.67946i
\(189\) 9.31652 0.677677
\(190\) −16.0706 + 10.7919i −1.16588 + 0.782926i
\(191\) 23.2641i 1.68333i 0.540000 + 0.841665i \(0.318424\pi\)
−0.540000 + 0.841665i \(0.681576\pi\)
\(192\) 9.42523 + 0.544090i 0.680208 + 0.0392663i
\(193\) 0.896999 0.896999i 0.0645674 0.0645674i −0.674086 0.738653i \(-0.735462\pi\)
0.738653 + 0.674086i \(0.235462\pi\)
\(194\) 4.26463 + 1.81468i 0.306182 + 0.130286i
\(195\) −2.72990 + 9.11435i −0.195492 + 0.652692i
\(196\) 5.63580 + 5.85672i 0.402557 + 0.418337i
\(197\) 6.48712 + 6.48712i 0.462188 + 0.462188i 0.899372 0.437184i \(-0.144024\pi\)
−0.437184 + 0.899372i \(0.644024\pi\)
\(198\) −0.115440 0.286452i −0.00820395 0.0203573i
\(199\) 6.60481 0.468203 0.234101 0.972212i \(-0.424785\pi\)
0.234101 + 0.972212i \(0.424785\pi\)
\(200\) 0.0704444 14.1420i 0.00498117 0.999988i
\(201\) 11.8588i 0.836456i
\(202\) −3.45328 + 1.39167i −0.242972 + 0.0979173i
\(203\) 5.32645 + 5.32645i 0.373843 + 0.373843i
\(204\) −2.56821 2.66889i −0.179811 0.186859i
\(205\) 6.39928 1.35242i 0.446945 0.0944571i
\(206\) −5.76737 + 13.5538i −0.401832 + 0.944335i
\(207\) −7.59932 7.59932i −0.528189 0.528189i
\(208\) 13.9821 3.53552i 0.969487 0.245144i
\(209\) 0.831707i 0.0575304i
\(210\) 5.30857 3.56488i 0.366326 0.246000i
\(211\) 6.75732i 0.465193i −0.972573 0.232596i \(-0.925278\pi\)
0.972573 0.232596i \(-0.0747221\pi\)
\(212\) −15.2664 0.293472i −1.04850 0.0201557i
\(213\) 3.74717 3.74717i 0.256752 0.256752i
\(214\) −21.9288 9.33112i −1.49902 0.637862i
\(215\) 4.01651 + 2.61501i 0.273924 + 0.178342i
\(216\) 14.3718 5.47313i 0.977876 0.372399i
\(217\) 3.78130 3.78130i 0.256691 0.256691i
\(218\) −2.05968 + 0.830047i −0.139499 + 0.0562179i
\(219\) 10.0874i 0.681646i
\(220\) −0.502736 0.341249i −0.0338944 0.0230070i
\(221\) −4.96741 2.70912i −0.334144 0.182235i
\(222\) 14.0093 5.64572i 0.940241 0.378916i
\(223\) 4.45155 + 4.45155i 0.298098 + 0.298098i 0.840268 0.542171i \(-0.182397\pi\)
−0.542171 + 0.840268i \(0.682397\pi\)
\(224\) −8.76659 4.13519i −0.585742 0.276294i
\(225\) −3.25168 7.34943i −0.216779 0.489962i
\(226\) −1.38969 0.591338i −0.0924407 0.0393352i
\(227\) 8.81803 8.81803i 0.585273 0.585273i −0.351075 0.936348i \(-0.614184\pi\)
0.936348 + 0.351075i \(0.114184\pi\)
\(228\) −14.4455 0.277691i −0.956676 0.0183905i
\(229\) 29.3112 1.93694 0.968470 0.249129i \(-0.0801442\pi\)
0.968470 + 0.249129i \(0.0801442\pi\)
\(230\) −20.7471 4.07696i −1.36803 0.268827i
\(231\) 0.274737i 0.0180764i
\(232\) 11.3458 + 5.08754i 0.744885 + 0.334014i
\(233\) 17.8139 + 17.8139i 1.16703 + 1.16703i 0.982903 + 0.184122i \(0.0589443\pi\)
0.184122 + 0.982903i \(0.441056\pi\)
\(234\) 6.42811 5.08433i 0.420219 0.332373i
\(235\) −21.5797 14.0498i −1.40770 0.916507i
\(236\) 7.59379 + 7.89147i 0.494314 + 0.513691i
\(237\) 0.787887 0.787887i 0.0511787 0.0511787i
\(238\) 1.42141 + 3.52710i 0.0921366 + 0.228628i
\(239\) 15.2637i 0.987328i 0.869653 + 0.493664i \(0.164343\pi\)
−0.869653 + 0.493664i \(0.835657\pi\)
\(240\) 6.09483 8.61782i 0.393420 0.556278i
\(241\) 12.6676i 0.815990i −0.912984 0.407995i \(-0.866228\pi\)
0.912984 0.407995i \(-0.133772\pi\)
\(242\) 14.4045 5.80500i 0.925958 0.373160i
\(243\) 10.2034 10.2034i 0.654550 0.654550i
\(244\) 16.9873 16.3465i 1.08750 1.04648i
\(245\) 8.89093 1.87900i 0.568021 0.120045i
\(246\) 4.49197 + 1.91142i 0.286398 + 0.121867i
\(247\) −21.1742 + 6.22906i −1.34728 + 0.396345i
\(248\) 3.61170 8.05446i 0.229343 0.511459i
\(249\) 7.69836 0.487863
\(250\) −13.3720 8.43739i −0.845720 0.533627i
\(251\) 16.0887i 1.01551i 0.861501 + 0.507755i \(0.169525\pi\)
−0.861501 + 0.507755i \(0.830475\pi\)
\(252\) −5.50724 0.105868i −0.346924 0.00666903i
\(253\) −0.642366 + 0.642366i −0.0403852 + 0.0403852i
\(254\) 27.9050 + 11.8741i 1.75091 + 0.745046i
\(255\) −4.05156 + 0.856255i −0.253719 + 0.0536208i
\(256\) −15.9527 1.22893i −0.997046 0.0768082i
\(257\) −16.0293 + 16.0293i −0.999880 + 0.999880i −1.00000 0.000120104i \(-0.999962\pi\)
0.000120104 1.00000i \(0.499962\pi\)
\(258\) 1.33710 + 3.31789i 0.0832445 + 0.206563i
\(259\) −15.5073 −0.963576
\(260\) 4.92251 15.3548i 0.305281 0.952262i
\(261\) 7.06605 0.437378
\(262\) −0.124254 0.308324i −0.00767645 0.0190483i
\(263\) 1.00613 1.00613i 0.0620408 0.0620408i −0.675406 0.737446i \(-0.736031\pi\)
0.737446 + 0.675406i \(0.236031\pi\)
\(264\) −0.161398 0.423813i −0.00993338 0.0260839i
\(265\) −9.31449 + 14.3066i −0.572185 + 0.878844i
\(266\) 13.6495 + 5.80810i 0.836903 + 0.356118i
\(267\) 2.69363 2.69363i 0.164848 0.164848i
\(268\) 0.386274 20.0940i 0.0235954 1.22744i
\(269\) 19.2720i 1.17504i −0.809211 0.587519i \(-0.800105\pi\)
0.809211 0.587519i \(-0.199895\pi\)
\(270\) 3.31532 16.8712i 0.201764 1.02675i
\(271\) 28.0613 1.70460 0.852301 0.523052i \(-0.175207\pi\)
0.852301 + 0.523052i \(0.175207\pi\)
\(272\) 4.26474 + 4.60591i 0.258588 + 0.279274i
\(273\) 6.99444 2.05764i 0.423323 0.124534i
\(274\) 22.5826 + 9.60929i 1.36426 + 0.580519i
\(275\) −0.621243 + 0.274863i −0.0374624 + 0.0165748i
\(276\) −10.9425 11.3714i −0.658659 0.684478i
\(277\) 12.7073 12.7073i 0.763505 0.763505i −0.213449 0.976954i \(-0.568470\pi\)
0.976954 + 0.213449i \(0.0684697\pi\)
\(278\) −25.7263 + 10.3677i −1.54296 + 0.621811i
\(279\) 5.01626i 0.300316i
\(280\) −9.11115 + 5.86754i −0.544496 + 0.350653i
\(281\) 17.4196i 1.03917i 0.854420 + 0.519583i \(0.173913\pi\)
−0.854420 + 0.519583i \(0.826087\pi\)
\(282\) −7.18392 17.8262i −0.427796 1.06153i
\(283\) −10.9442 + 10.9442i −0.650568 + 0.650568i −0.953130 0.302562i \(-0.902158\pi\)
0.302562 + 0.953130i \(0.402158\pi\)
\(284\) −6.47139 + 6.22728i −0.384006 + 0.369521i
\(285\) −8.81362 + 13.5372i −0.522074 + 0.801877i
\(286\) −0.429775 0.543365i −0.0254131 0.0321298i
\(287\) −3.54405 3.54405i −0.209199 0.209199i
\(288\) −8.55773 + 3.07200i −0.504269 + 0.181019i
\(289\) 14.5373i 0.855138i
\(290\) 11.5411 7.75019i 0.677714 0.455107i
\(291\) 3.86748 0.226716
\(292\) −0.328575 + 17.0925i −0.0192284 + 1.00026i
\(293\) −1.56341 + 1.56341i −0.0913353 + 0.0913353i −0.751298 0.659963i \(-0.770572\pi\)
0.659963 + 0.751298i \(0.270572\pi\)
\(294\) 6.24099 + 2.65565i 0.363982 + 0.154881i
\(295\) 11.9798 2.53181i 0.697492 0.147408i
\(296\) −23.9217 + 9.10999i −1.39042 + 0.529507i
\(297\) −0.522361 0.522361i −0.0303105 0.0303105i
\(298\) 3.14570 1.26771i 0.182226 0.0734366i
\(299\) −21.1648 11.5428i −1.22399 0.667538i
\(300\) −4.56653 10.8818i −0.263649 0.628262i
\(301\) 3.67267i 0.211689i
\(302\) −7.38836 + 2.97750i −0.425152 + 0.171336i
\(303\) −2.19688 + 2.19688i −0.126207 + 0.126207i
\(304\) 24.4679 + 0.941058i 1.40333 + 0.0539734i
\(305\) −5.45002 25.7880i −0.312067 1.47662i
\(306\) 3.28234 + 1.39670i 0.187639 + 0.0798438i
\(307\) −12.1227 + 12.1227i −0.691877 + 0.691877i −0.962645 0.270768i \(-0.912723\pi\)
0.270768 + 0.962645i \(0.412723\pi\)
\(308\) −0.00894893 + 0.465524i −0.000509913 + 0.0265257i
\(309\) 12.2915i 0.699241i
\(310\) −5.50194 8.19312i −0.312489 0.465338i
\(311\) 18.9025i 1.07186i 0.844261 + 0.535932i \(0.180040\pi\)
−0.844261 + 0.535932i \(0.819960\pi\)
\(312\) 9.58092 7.28313i 0.542413 0.412326i
\(313\) 5.87564 + 5.87564i 0.332111 + 0.332111i 0.853388 0.521277i \(-0.174544\pi\)
−0.521277 + 0.853388i \(0.674544\pi\)
\(314\) 2.83760 6.66858i 0.160135 0.376330i
\(315\) −3.36013 + 5.16098i −0.189322 + 0.290788i
\(316\) −1.36069 + 1.30936i −0.0765446 + 0.0736572i
\(317\) 10.2637 + 10.2637i 0.576467 + 0.576467i 0.933928 0.357461i \(-0.116357\pi\)
−0.357461 + 0.933928i \(0.616357\pi\)
\(318\) −11.8181 + 4.76268i −0.662726 + 0.267078i
\(319\) 0.597290i 0.0334418i
\(320\) −10.6080 + 14.4038i −0.593006 + 0.805198i
\(321\) −19.8867 −1.10997
\(322\) 6.05626 + 15.0280i 0.337502 + 0.837478i
\(323\) −6.79273 6.79273i −0.377958 0.377958i
\(324\) 2.29791 2.21123i 0.127662 0.122846i
\(325\) −11.6504 13.7574i −0.646250 0.763126i
\(326\) 11.7927 + 5.01802i 0.653138 + 0.277922i
\(327\) −1.31031 + 1.31031i −0.0724602 + 0.0724602i
\(328\) −7.54910 3.38509i −0.416829 0.186910i
\(329\) 19.7323i 1.08788i
\(330\) −0.497519 0.0977660i −0.0273875 0.00538184i
\(331\) −16.3191 −0.896980 −0.448490 0.893788i \(-0.648038\pi\)
−0.448490 + 0.893788i \(0.648038\pi\)
\(332\) −13.0444 0.250756i −0.715903 0.0137620i
\(333\) −10.2860 + 10.2860i −0.563667 + 0.563667i
\(334\) −4.65657 + 10.9433i −0.254796 + 0.598790i
\(335\) −18.8306 12.2599i −1.02883 0.669832i
\(336\) −8.08246 0.310859i −0.440934 0.0169587i
\(337\) 14.5265 14.5265i 0.791309 0.791309i −0.190398 0.981707i \(-0.560978\pi\)
0.981707 + 0.190398i \(0.0609779\pi\)
\(338\) 10.6146 15.0110i 0.577356 0.816493i
\(339\) −1.26027 −0.0684485
\(340\) 6.89301 1.31890i 0.373826 0.0715274i
\(341\) −0.424022 −0.0229621
\(342\) 12.9062 5.20117i 0.697887 0.281247i
\(343\) −13.4053 13.4053i −0.723818 0.723818i
\(344\) −2.15757 5.66551i −0.116328 0.305464i
\(345\) −17.2626 + 3.64827i −0.929388 + 0.196416i
\(346\) −15.9118 6.77077i −0.855425 0.363999i
\(347\) 7.03773 + 7.03773i 0.377805 + 0.377805i 0.870310 0.492505i \(-0.163919\pi\)
−0.492505 + 0.870310i \(0.663919\pi\)
\(348\) 10.3740 + 0.199423i 0.556106 + 0.0106902i
\(349\) −19.3224 −1.03430 −0.517152 0.855894i \(-0.673008\pi\)
−0.517152 + 0.855894i \(0.673008\pi\)
\(350\) 0.172526 + 12.1149i 0.00922189 + 0.647571i
\(351\) 9.38641 17.2108i 0.501010 0.918647i
\(352\) 0.259674 + 0.723380i 0.0138407 + 0.0385563i
\(353\) 1.78993 1.78993i 0.0952685 0.0952685i −0.657866 0.753135i \(-0.728541\pi\)
0.753135 + 0.657866i \(0.228541\pi\)
\(354\) 8.40923 + 3.57828i 0.446946 + 0.190184i
\(355\) 2.07621 + 9.82404i 0.110194 + 0.521406i
\(356\) −4.65192 + 4.47645i −0.246551 + 0.237251i
\(357\) 2.24384 + 2.24384i 0.118756 + 0.118756i
\(358\) 16.7721 6.75912i 0.886431 0.357230i
\(359\) 7.57948i 0.400029i 0.979793 + 0.200015i \(0.0640990\pi\)
−0.979793 + 0.200015i \(0.935901\pi\)
\(360\) −2.15149 + 9.93535i −0.113393 + 0.523639i
\(361\) −18.4728 −0.972252
\(362\) 5.88245 2.37062i 0.309175 0.124597i
\(363\) 9.16374 9.16374i 0.480972 0.480972i
\(364\) −11.9187 + 3.25871i −0.624707 + 0.170803i
\(365\) 16.0178 + 10.4286i 0.838411 + 0.545860i
\(366\) 7.70268 18.1019i 0.402625 0.946200i
\(367\) 25.0286 + 25.0286i 1.30648 + 1.30648i 0.923937 + 0.382544i \(0.124952\pi\)
0.382544 + 0.923937i \(0.375048\pi\)
\(368\) 18.1709 + 19.6245i 0.947224 + 1.02300i
\(369\) −4.70152 −0.244752
\(370\) −5.51832 + 28.0820i −0.286884 + 1.45991i
\(371\) 13.0818 0.679173
\(372\) 0.141573 7.36462i 0.00734020 0.381838i
\(373\) −12.9400 12.9400i −0.670007 0.670007i 0.287711 0.957717i \(-0.407106\pi\)
−0.957717 + 0.287711i \(0.907106\pi\)
\(374\) 0.118062 0.277454i 0.00610484 0.0143468i
\(375\) −13.0244 2.10954i −0.672575 0.108936i
\(376\) 11.5920 + 30.4393i 0.597814 + 1.56979i
\(377\) 15.2062 4.47339i 0.783159 0.230391i
\(378\) −12.2205 + 4.92485i −0.628555 + 0.253307i
\(379\) 25.4640i 1.30800i 0.756495 + 0.653999i \(0.226910\pi\)
−0.756495 + 0.653999i \(0.773090\pi\)
\(380\) 15.3751 22.6509i 0.788724 1.16197i
\(381\) 25.3063 1.29648
\(382\) −12.2977 30.5156i −0.629207 1.56131i
\(383\) 23.7178 + 23.7178i 1.21192 + 1.21192i 0.970394 + 0.241528i \(0.0776485\pi\)
0.241528 + 0.970394i \(0.422351\pi\)
\(384\) −12.6507 + 4.26863i −0.645580 + 0.217833i
\(385\) 0.436254 + 0.284030i 0.0222336 + 0.0144755i
\(386\) −0.702430 + 1.65076i −0.0357528 + 0.0840217i
\(387\) −2.43608 2.43608i −0.123833 0.123833i
\(388\) −6.55319 0.125974i −0.332688 0.00639537i
\(389\) 27.0309i 1.37052i −0.728297 0.685262i \(-0.759688\pi\)
0.728297 0.685262i \(-0.240312\pi\)
\(390\) −1.23716 13.3984i −0.0626463 0.678454i
\(391\) 10.4927i 0.530638i
\(392\) −10.4884 4.70312i −0.529747 0.237543i
\(393\) −0.196147 0.196147i −0.00989431 0.00989431i
\(394\) −11.9384 5.07999i −0.601446 0.255926i
\(395\) 0.436547 + 2.06562i 0.0219651 + 0.103933i
\(396\) 0.302846 + 0.314717i 0.0152186 + 0.0158151i
\(397\) 9.49107 + 9.49107i 0.476343 + 0.476343i 0.903960 0.427617i \(-0.140647\pi\)
−0.427617 + 0.903960i \(0.640647\pi\)
\(398\) −8.66356 + 3.49140i −0.434265 + 0.175008i
\(399\) 12.3783 0.619693
\(400\) 7.38324 + 18.5873i 0.369162 + 0.929365i
\(401\) 16.6170i 0.829811i −0.909864 0.414906i \(-0.863815\pi\)
0.909864 0.414906i \(-0.136185\pi\)
\(402\) −6.26874 15.5553i −0.312656 0.775825i
\(403\) −3.17571 10.7950i −0.158193 0.537739i
\(404\) 3.79403 3.65091i 0.188760 0.181640i
\(405\) −0.737236 3.48840i −0.0366336 0.173340i
\(406\) −9.80236 4.17108i −0.486483 0.207007i
\(407\) 0.869466 + 0.869466i 0.0430978 + 0.0430978i
\(408\) 4.77955 + 2.14319i 0.236623 + 0.106104i
\(409\) −9.84810 −0.486957 −0.243479 0.969906i \(-0.578289\pi\)
−0.243479 + 0.969906i \(0.578289\pi\)
\(410\) −7.67905 + 5.15673i −0.379241 + 0.254673i
\(411\) 20.4795 1.01018
\(412\) 0.400369 20.8272i 0.0197248 1.02608i
\(413\) −6.63466 6.63466i −0.326470 0.326470i
\(414\) 13.9852 + 5.95095i 0.687334 + 0.292473i
\(415\) −7.95876 + 12.2242i −0.390680 + 0.600063i
\(416\) −16.4715 + 12.0287i −0.807581 + 0.589756i
\(417\) −16.3663 + 16.3663i −0.801463 + 0.801463i
\(418\) −0.439652 1.09095i −0.0215041 0.0533603i
\(419\) 35.8407 1.75093 0.875466 0.483279i \(-0.160554\pi\)
0.875466 + 0.483279i \(0.160554\pi\)
\(420\) −5.07883 + 7.48225i −0.247821 + 0.365096i
\(421\) 29.4970i 1.43760i −0.695218 0.718799i \(-0.744692\pi\)
0.695218 0.718799i \(-0.255308\pi\)
\(422\) 3.57202 + 8.86360i 0.173883 + 0.431473i
\(423\) 13.0884 + 13.0884i 0.636381 + 0.636381i
\(424\) 20.1802 7.68511i 0.980035 0.373222i
\(425\) 2.82896 7.31869i 0.137225 0.355009i
\(426\) −2.93437 + 6.89598i −0.142170 + 0.334111i
\(427\) −14.2819 + 14.2819i −0.691150 + 0.691150i
\(428\) 33.6967 + 0.647763i 1.62879 + 0.0313108i
\(429\) −0.507534 0.276798i −0.0245040 0.0133639i
\(430\) −6.65081 1.30693i −0.320730 0.0630259i
\(431\) −19.7901 −0.953253 −0.476627 0.879106i \(-0.658141\pi\)
−0.476627 + 0.879106i \(0.658141\pi\)
\(432\) −15.9583 + 14.7763i −0.767796 + 0.710923i
\(433\) −2.28416 2.28416i −0.109770 0.109770i 0.650089 0.759858i \(-0.274732\pi\)
−0.759858 + 0.650089i \(0.774732\pi\)
\(434\) −2.96110 + 6.95880i −0.142137 + 0.334033i
\(435\) 6.32949 9.72176i 0.303476 0.466122i
\(436\) 2.26291 2.17755i 0.108374 0.104286i
\(437\) −28.9420 28.9420i −1.38448 1.38448i
\(438\) 5.33237 + 13.2317i 0.254790 + 0.632236i
\(439\) 6.80513 0.324791 0.162396 0.986726i \(-0.448078\pi\)
0.162396 + 0.986726i \(0.448078\pi\)
\(440\) 0.839829 + 0.181864i 0.0400373 + 0.00867002i
\(441\) −6.53213 −0.311054
\(442\) 7.94785 + 0.927711i 0.378041 + 0.0441267i
\(443\) 15.2445 15.2445i 0.724286 0.724286i −0.245189 0.969475i \(-0.578850\pi\)
0.969475 + 0.245189i \(0.0788501\pi\)
\(444\) −15.3916 + 14.8110i −0.730454 + 0.702900i
\(445\) 1.49247 + 7.06196i 0.0707499 + 0.334769i
\(446\) −8.19227 3.48596i −0.387915 0.165065i
\(447\) 2.00120 2.00120i 0.0946537 0.0946537i
\(448\) 13.6851 + 0.789998i 0.646560 + 0.0373239i
\(449\) 8.62094 0.406847 0.203424 0.979091i \(-0.434793\pi\)
0.203424 + 0.979091i \(0.434793\pi\)
\(450\) 8.15026 + 7.92138i 0.384207 + 0.373418i
\(451\) 0.397417i 0.0187136i
\(452\) 2.13545 + 0.0410505i 0.100443 + 0.00193085i
\(453\) −4.70026 + 4.70026i −0.220837 + 0.220837i
\(454\) −6.90530 + 16.2280i −0.324082 + 0.761617i
\(455\) −3.96371 + 13.2337i −0.185822 + 0.620406i
\(456\) 19.0950 7.27185i 0.894205 0.340536i
\(457\) 15.8492 + 15.8492i 0.741395 + 0.741395i 0.972846 0.231452i \(-0.0743475\pi\)
−0.231452 + 0.972846i \(0.574347\pi\)
\(458\) −38.4477 + 15.4943i −1.79654 + 0.724003i
\(459\) 8.53248 0.398262
\(460\) 29.3692 5.61947i 1.36935 0.262009i
\(461\) 31.2187i 1.45400i 0.686638 + 0.726999i \(0.259086\pi\)
−0.686638 + 0.726999i \(0.740914\pi\)
\(462\) 0.145230 + 0.360373i 0.00675671 + 0.0167661i
\(463\) −17.2870 17.2870i −0.803396 0.803396i 0.180229 0.983625i \(-0.442316\pi\)
−0.983625 + 0.180229i \(0.942316\pi\)
\(464\) −17.5716 0.675820i −0.815742 0.0313742i
\(465\) −6.90157 4.49337i −0.320053 0.208375i
\(466\) −32.7832 13.9499i −1.51865 0.646214i
\(467\) 3.44862 + 3.44862i 0.159583 + 0.159583i 0.782382 0.622799i \(-0.214005\pi\)
−0.622799 + 0.782382i \(0.714005\pi\)
\(468\) −5.74413 + 10.0671i −0.265523 + 0.465353i
\(469\) 17.2186i 0.795079i
\(470\) 35.7331 + 7.02181i 1.64824 + 0.323892i
\(471\) 6.04756i 0.278657i
\(472\) −14.1324 6.33708i −0.650494 0.291688i
\(473\) −0.205920 + 0.205920i −0.00946822 + 0.00946822i
\(474\) −0.616985 + 1.44996i −0.0283391 + 0.0665990i
\(475\) −12.3840 27.9903i −0.568218 1.28428i
\(476\) −3.72895 3.87513i −0.170916 0.177616i
\(477\) 8.67714 8.67714i 0.397299 0.397299i
\(478\) −8.06863 20.0215i −0.369050 0.915761i
\(479\) 30.8029i 1.40742i −0.710488 0.703710i \(-0.751526\pi\)
0.710488 0.703710i \(-0.248474\pi\)
\(480\) −3.43910 + 14.5258i −0.156973 + 0.663011i
\(481\) −15.6236 + 28.6473i −0.712376 + 1.30621i
\(482\) 6.69626 + 16.6161i 0.305006 + 0.756843i
\(483\) 9.56038 + 9.56038i 0.435012 + 0.435012i
\(484\) −15.8259 + 15.2289i −0.719357 + 0.692222i
\(485\) −3.99830 + 6.14116i −0.181553 + 0.278856i
\(486\) −7.99019 + 18.7775i −0.362442 + 0.851767i
\(487\) −21.5008 + 21.5008i −0.974296 + 0.974296i −0.999678 0.0253815i \(-0.991920\pi\)
0.0253815 + 0.999678i \(0.491920\pi\)
\(488\) −13.6413 + 30.4216i −0.617514 + 1.37712i
\(489\) 10.6945 0.483622
\(490\) −10.6690 + 7.16457i −0.481976 + 0.323662i
\(491\) 31.4355i 1.41866i −0.704875 0.709332i \(-0.748997\pi\)
0.704875 0.709332i \(-0.251003\pi\)
\(492\) −6.90254 0.132690i −0.311190 0.00598212i
\(493\) 4.87820 + 4.87820i 0.219703 + 0.219703i
\(494\) 24.4815 19.3636i 1.10147 0.871212i
\(495\) 0.477764 0.100970i 0.0214739 0.00453828i
\(496\) −0.479772 + 12.4743i −0.0215424 + 0.560111i
\(497\) 5.44075 5.44075i 0.244051 0.244051i
\(498\) −10.0980 + 4.06946i −0.452500 + 0.182357i
\(499\) 30.8204i 1.37971i −0.723948 0.689855i \(-0.757674\pi\)
0.723948 0.689855i \(-0.242326\pi\)
\(500\) 22.0002 + 3.99872i 0.983880 + 0.178828i
\(501\) 9.92418i 0.443380i
\(502\) −8.50473 21.1036i −0.379585 0.941901i
\(503\) 15.7158 15.7158i 0.700733 0.700733i −0.263835 0.964568i \(-0.584987\pi\)
0.964568 + 0.263835i \(0.0849874\pi\)
\(504\) 7.27983 2.77234i 0.324270 0.123490i
\(505\) −1.21723 5.75961i −0.0541661 0.256299i
\(506\) 0.503030 1.18216i 0.0223624 0.0525534i
\(507\) 3.24574 14.9942i 0.144148 0.665917i
\(508\) −42.8799 0.824294i −1.90249 0.0365722i
\(509\) −38.9696 −1.72730 −0.863649 0.504093i \(-0.831827\pi\)
−0.863649 + 0.504093i \(0.831827\pi\)
\(510\) 4.86182 3.26487i 0.215285 0.144571i
\(511\) 14.6466i 0.647927i
\(512\) 21.5749 6.82085i 0.953485 0.301442i
\(513\) 23.5351 23.5351i 1.03910 1.03910i
\(514\) 12.5524 29.4990i 0.553661 1.30115i
\(515\) −19.5177 12.7073i −0.860054 0.559951i
\(516\) −3.50777 3.64528i −0.154421 0.160474i
\(517\) 1.10636 1.10636i 0.0486575 0.0486575i
\(518\) 20.3410 8.19738i 0.893730 0.360172i
\(519\) −14.4300 −0.633407
\(520\) 1.65987 + 22.7430i 0.0727903 + 0.997347i
\(521\) 6.74679 0.295582 0.147791 0.989019i \(-0.452784\pi\)
0.147791 + 0.989019i \(0.452784\pi\)
\(522\) −9.26857 + 3.73522i −0.405674 + 0.163486i
\(523\) −17.7325 + 17.7325i −0.775387 + 0.775387i −0.979043 0.203655i \(-0.934718\pi\)
0.203655 + 0.979043i \(0.434718\pi\)
\(524\) 0.325970 + 0.338748i 0.0142400 + 0.0147983i
\(525\) 4.09080 + 9.24600i 0.178537 + 0.403529i
\(526\) −0.787892 + 1.85161i −0.0343537 + 0.0807338i
\(527\) 3.46308 3.46308i 0.150854 0.150854i
\(528\) 0.435740 + 0.470599i 0.0189632 + 0.0204802i
\(529\) 21.7065i 0.943763i
\(530\) 4.65520 23.6897i 0.202209 1.02902i
\(531\) −8.80153 −0.381954
\(532\) −20.9743 0.403197i −0.909352 0.0174808i
\(533\) −10.1177 + 2.97645i −0.438247 + 0.128924i
\(534\) −2.10935 + 4.95714i −0.0912806 + 0.214516i
\(535\) 20.5594 31.5780i 0.888858 1.36524i
\(536\) 10.1153 + 26.5616i 0.436915 + 1.14729i
\(537\) 10.6699 10.6699i 0.460440 0.460440i
\(538\) 10.1875 + 25.2792i 0.439214 + 1.08986i
\(539\) 0.552157i 0.0237831i
\(540\) 4.56966 + 23.8826i 0.196647 + 1.02774i
\(541\) 31.9567i 1.37393i −0.726692 0.686963i \(-0.758943\pi\)
0.726692 0.686963i \(-0.241057\pi\)
\(542\) −36.8081 + 14.8336i −1.58104 + 0.637158i
\(543\) 3.74224 3.74224i 0.160595 0.160595i
\(544\) −8.02883 3.78719i −0.344233 0.162374i
\(545\) −0.726007 3.43527i −0.0310987 0.147151i
\(546\) −8.08693 + 6.39637i −0.346089 + 0.273740i
\(547\) 6.16147 + 6.16147i 0.263445 + 0.263445i 0.826452 0.563007i \(-0.190356\pi\)
−0.563007 + 0.826452i \(0.690356\pi\)
\(548\) −34.7012 0.667074i −1.48236 0.0284960i
\(549\) 18.9463i 0.808610i
\(550\) 0.669590 0.688937i 0.0285514 0.0293764i
\(551\) 26.9111 1.14645
\(552\) 20.3644 + 9.13157i 0.866765 + 0.388666i
\(553\) 1.14398 1.14398i 0.0486471 0.0486471i
\(554\) −9.95092 + 23.3854i −0.422774 + 0.993551i
\(555\) 4.93807 + 23.3656i 0.209609 + 0.991814i
\(556\) 28.2648 27.1986i 1.19869 1.15348i
\(557\) 22.6497 + 22.6497i 0.959697 + 0.959697i 0.999219 0.0395221i \(-0.0125835\pi\)
−0.0395221 + 0.999219i \(0.512584\pi\)
\(558\) 2.65167 + 6.57985i 0.112254 + 0.278547i
\(559\) −6.78469 3.70022i −0.286962 0.156503i
\(560\) 8.84947 12.5128i 0.373958 0.528761i
\(561\) 0.251616i 0.0106232i
\(562\) −9.20825 22.8493i −0.388426 0.963841i
\(563\) 6.24205 6.24205i 0.263071 0.263071i −0.563229 0.826301i \(-0.690441\pi\)
0.826301 + 0.563229i \(0.190441\pi\)
\(564\) 18.8464 + 19.5851i 0.793575 + 0.824683i
\(565\) 1.30290 2.00118i 0.0548134 0.0841904i
\(566\) 8.57032 20.1409i 0.360237 0.846585i
\(567\) −1.93194 + 1.93194i −0.0811340 + 0.0811340i
\(568\) 5.19672 11.5892i 0.218049 0.486273i
\(569\) 10.8680i 0.455611i 0.973707 + 0.227805i \(0.0731550\pi\)
−0.973707 + 0.227805i \(0.926845\pi\)
\(570\) 4.40488 22.4159i 0.184500 0.938897i
\(571\) 19.4497i 0.813943i −0.913441 0.406971i \(-0.866585\pi\)
0.913441 0.406971i \(-0.133415\pi\)
\(572\) 0.850968 + 0.485548i 0.0355808 + 0.0203018i
\(573\) −19.4131 19.4131i −0.810995 0.810995i
\(574\) 6.52218 + 2.77530i 0.272230 + 0.115839i
\(575\) 12.0534 31.1830i 0.502664 1.30042i
\(576\) 9.60131 8.55330i 0.400055 0.356387i
\(577\) 12.4491 + 12.4491i 0.518263 + 0.518263i 0.917046 0.398782i \(-0.130567\pi\)
−0.398782 + 0.917046i \(0.630567\pi\)
\(578\) −7.68465 19.0687i −0.319639 0.793153i
\(579\) 1.49703i 0.0622146i
\(580\) −11.0416 + 16.2667i −0.458477 + 0.675439i
\(581\) 11.1777 0.463730
\(582\) −5.07298 + 2.04440i −0.210282 + 0.0847433i
\(583\) −0.733474 0.733474i −0.0303774 0.0303774i
\(584\) −8.60436 22.5940i −0.356051 0.934947i
\(585\) 6.14877 + 11.4070i 0.254221 + 0.471622i
\(586\) 1.22429 2.87717i 0.0505749 0.118855i
\(587\) 0.126933 0.126933i 0.00523910 0.00523910i −0.704482 0.709721i \(-0.748821\pi\)
0.709721 + 0.704482i \(0.248821\pi\)
\(588\) −9.59014 0.184355i −0.395491 0.00760265i
\(589\) 19.1044i 0.787184i
\(590\) −14.3756 + 9.65369i −0.591835 + 0.397436i
\(591\) −10.8266 −0.445346
\(592\) 26.5625 24.5950i 1.09171 1.01085i
\(593\) 2.22865 2.22865i 0.0915195 0.0915195i −0.659865 0.751384i \(-0.729386\pi\)
0.751384 + 0.659865i \(0.229386\pi\)
\(594\) 0.961311 + 0.409055i 0.0394431 + 0.0167837i
\(595\) −5.88272 + 1.24325i −0.241168 + 0.0509683i
\(596\) −3.45610 + 3.32573i −0.141567 + 0.136227i
\(597\) −5.51150 + 5.51150i −0.225571 + 0.225571i
\(598\) 33.8636 + 3.95273i 1.38479 + 0.161639i
\(599\) −9.98842 −0.408116 −0.204058 0.978959i \(-0.565413\pi\)
−0.204058 + 0.978959i \(0.565413\pi\)
\(600\) 11.7422 + 11.8598i 0.479374 + 0.484174i
\(601\) 26.6091 1.08541 0.542705 0.839924i \(-0.317400\pi\)
0.542705 + 0.839924i \(0.317400\pi\)
\(602\) 1.94143 + 4.81745i 0.0791266 + 0.196345i
\(603\) 11.4210 + 11.4210i 0.465101 + 0.465101i
\(604\) 8.11739 7.81119i 0.330292 0.317833i
\(605\) 5.07739 + 24.0248i 0.206425 + 0.976747i
\(606\) 1.72035 4.04295i 0.0698845 0.164234i
\(607\) 7.48637 + 7.48637i 0.303863 + 0.303863i 0.842523 0.538660i \(-0.181069\pi\)
−0.538660 + 0.842523i \(0.681069\pi\)
\(608\) −32.5921 + 11.6997i −1.32178 + 0.474486i
\(609\) −8.88950 −0.360221
\(610\) 20.7807 + 30.9452i 0.841387 + 1.25294i
\(611\) 36.4524 + 19.8803i 1.47471 + 0.804273i
\(612\) −5.04377 0.0969582i −0.203882 0.00391930i
\(613\) 25.6786 25.6786i 1.03715 1.03715i 0.0378679 0.999283i \(-0.487943\pi\)
0.999283 0.0378679i \(-0.0120566\pi\)
\(614\) 9.49313 22.3096i 0.383112 0.900341i
\(615\) −4.21144 + 6.46854i −0.169822 + 0.260837i
\(616\) −0.234344 0.615360i −0.00944201 0.0247936i
\(617\) 3.95103 + 3.95103i 0.159062 + 0.159062i 0.782151 0.623089i \(-0.214122\pi\)
−0.623089 + 0.782151i \(0.714122\pi\)
\(618\) −6.49749 16.1229i −0.261367 0.648557i
\(619\) 8.51161i 0.342111i −0.985261 0.171055i \(-0.945282\pi\)
0.985261 0.171055i \(-0.0547177\pi\)
\(620\) 11.5479 + 7.83854i 0.463775 + 0.314803i
\(621\) 36.3546 1.45886
\(622\) −9.99215 24.7945i −0.400649 0.994169i
\(623\) 3.91105 3.91105i 0.156693 0.156693i
\(624\) −8.71736 + 14.6179i −0.348974 + 0.585185i
\(625\) 16.8146 18.5005i 0.672586 0.740019i
\(626\) −10.8130 4.60115i −0.432176 0.183899i
\(627\) −0.694033 0.694033i −0.0277170 0.0277170i
\(628\) −0.196986 + 10.2472i −0.00786058 + 0.408908i
\(629\) −14.2022 −0.566281
\(630\) 1.67933 8.54589i 0.0669060 0.340476i
\(631\) −7.04210 −0.280341 −0.140171 0.990127i \(-0.544765\pi\)
−0.140171 + 0.990127i \(0.544765\pi\)
\(632\) 1.09267 2.43677i 0.0434641 0.0969296i
\(633\) 5.63876 + 5.63876i 0.224121 + 0.224121i
\(634\) −18.8885 8.03740i −0.750158 0.319206i
\(635\) −26.1623 + 40.1838i −1.03822 + 1.59465i
\(636\) 12.9842 12.4944i 0.514858 0.495437i
\(637\) −14.0572 + 4.13537i −0.556967 + 0.163849i
\(638\) 0.315736 + 0.783467i 0.0125001 + 0.0310178i
\(639\) 7.21768i 0.285527i
\(640\) 6.30049 24.5011i 0.249049 0.968491i
\(641\) −36.7633 −1.45206 −0.726032 0.687661i \(-0.758638\pi\)
−0.726032 + 0.687661i \(0.758638\pi\)
\(642\) 26.0854 10.5124i 1.02951 0.414891i
\(643\) 20.9784 + 20.9784i 0.827306 + 0.827306i 0.987143 0.159838i \(-0.0510971\pi\)
−0.159838 + 0.987143i \(0.551097\pi\)
\(644\) −15.8880 16.5109i −0.626077 0.650619i
\(645\) −5.53379 + 1.16951i −0.217893 + 0.0460494i
\(646\) 12.5008 + 5.31932i 0.491837 + 0.209286i
\(647\) 8.79846 + 8.79846i 0.345903 + 0.345903i 0.858581 0.512678i \(-0.171346\pi\)
−0.512678 + 0.858581i \(0.671346\pi\)
\(648\) −1.84529 + 4.11519i −0.0724899 + 0.161660i
\(649\) 0.743988i 0.0292041i
\(650\) 22.5543 + 11.8871i 0.884653 + 0.466251i
\(651\) 6.31075i 0.247338i
\(652\) −18.1211 0.348349i −0.709679 0.0136424i
\(653\) −26.6946 26.6946i −1.04464 1.04464i −0.998956 0.0456859i \(-0.985453\pi\)
−0.0456859 0.998956i \(-0.514547\pi\)
\(654\) 1.02609 2.41138i 0.0401232 0.0942925i
\(655\) 0.514243 0.108680i 0.0200932 0.00424648i
\(656\) 11.6916 + 0.449669i 0.456480 + 0.0175566i
\(657\) −9.71506 9.71506i −0.379021 0.379021i
\(658\) −10.4308 25.8829i −0.406634 1.00902i
\(659\) −30.2389 −1.17794 −0.588970 0.808155i \(-0.700466\pi\)
−0.588970 + 0.808155i \(0.700466\pi\)
\(660\) 0.704278 0.134756i 0.0274140 0.00524535i
\(661\) 44.3556i 1.72523i −0.505857 0.862617i \(-0.668824\pi\)
0.505857 0.862617i \(-0.331176\pi\)
\(662\) 21.4059 8.62653i 0.831962 0.335279i
\(663\) 6.40581 1.88447i 0.248781 0.0731869i
\(664\) 17.2429 6.56653i 0.669154 0.254831i
\(665\) −12.7971 + 19.6556i −0.496248 + 0.762210i
\(666\) 8.05482 18.9294i 0.312118 0.733501i
\(667\) 20.7847 + 20.7847i 0.804786 + 0.804786i
\(668\) 0.323258 16.8159i 0.0125072 0.650626i
\(669\) −7.42935 −0.287235
\(670\) 31.1810 + 6.12728i 1.20463 + 0.236718i
\(671\) 1.60152 0.0618261
\(672\) 10.7661 3.86475i 0.415312 0.149086i
\(673\) 8.50808 + 8.50808i 0.327962 + 0.327962i 0.851811 0.523849i \(-0.175504\pi\)
−0.523849 + 0.851811i \(0.675504\pi\)
\(674\) −11.3755 + 26.7334i −0.438169 + 1.02973i
\(675\) 25.3575 + 9.80165i 0.976009 + 0.377266i
\(676\) −5.98810 + 25.3010i −0.230312 + 0.973117i
\(677\) −9.05251 + 9.05251i −0.347916 + 0.347916i −0.859333 0.511417i \(-0.829121\pi\)
0.511417 + 0.859333i \(0.329121\pi\)
\(678\) 1.65310 0.666198i 0.0634870 0.0255852i
\(679\) 5.61543 0.215501
\(680\) −8.34439 + 5.37375i −0.319993 + 0.206074i
\(681\) 14.7167i 0.563946i
\(682\) 0.556191 0.224144i 0.0212977 0.00858292i
\(683\) 19.2696 + 19.2696i 0.737331 + 0.737331i 0.972061 0.234730i \(-0.0754205\pi\)
−0.234730 + 0.972061i \(0.575420\pi\)
\(684\) −14.1797 + 13.6448i −0.542174 + 0.521722i
\(685\) −21.1723 + 32.5194i −0.808950 + 1.24250i
\(686\) 24.6700 + 10.4975i 0.941905 + 0.400798i
\(687\) −24.4593 + 24.4593i −0.933180 + 0.933180i
\(688\) 5.82496 + 6.29095i 0.222074 + 0.239840i
\(689\) 13.1799 24.1666i 0.502116 0.920675i
\(690\) 20.7149 13.9107i 0.788603 0.529572i
\(691\) −19.1766 −0.729511 −0.364756 0.931103i \(-0.618847\pi\)
−0.364756 + 0.931103i \(0.618847\pi\)
\(692\) 24.4507 + 0.470025i 0.929477 + 0.0178677i
\(693\) −0.264595 0.264595i −0.0100511 0.0100511i
\(694\) −12.9517 5.51117i −0.491638 0.209201i
\(695\) −9.06815 42.9080i −0.343975 1.62759i
\(696\) −13.7131 + 5.22227i −0.519792 + 0.197950i
\(697\) −3.24579 3.24579i −0.122943 0.122943i
\(698\) 25.3453 10.2141i 0.959332 0.386609i
\(699\) −29.7302 −1.12450
\(700\) −6.63043 15.8000i −0.250607 0.597184i
\(701\) 1.64833 0.0622567 0.0311284 0.999515i \(-0.490090\pi\)
0.0311284 + 0.999515i \(0.490090\pi\)
\(702\) −3.21429 + 27.5373i −0.121315 + 1.03933i
\(703\) −39.1741 + 39.1741i −1.47748 + 1.47748i
\(704\) −0.723005 0.811593i −0.0272493 0.0305881i
\(705\) 29.7316 6.28347i 1.11976 0.236649i
\(706\) −1.40168 + 3.29405i −0.0527528 + 0.123973i
\(707\) −3.18978 + 3.18978i −0.119964 + 0.119964i
\(708\) −12.9220 0.248403i −0.485637 0.00933556i
\(709\) 19.9349 0.748672 0.374336 0.927293i \(-0.377871\pi\)
0.374336 + 0.927293i \(0.377871\pi\)
\(710\) −7.91650 11.7887i −0.297101 0.442423i
\(711\) 1.51760i 0.0569146i
\(712\) 3.73563 8.33085i 0.139999 0.312212i
\(713\) 14.7553 14.7553i 0.552588 0.552588i
\(714\) −4.12937 1.75712i −0.154538 0.0657587i
\(715\) 0.964229 0.519752i 0.0360601 0.0194376i
\(716\) −18.4270 + 17.7319i −0.688650 + 0.662673i
\(717\) −12.7371 12.7371i −0.475675 0.475675i
\(718\) −4.00662 9.94203i −0.149526 0.371033i
\(719\) −30.5169 −1.13809 −0.569044 0.822307i \(-0.692687\pi\)
−0.569044 + 0.822307i \(0.692687\pi\)
\(720\) −2.42986 14.1695i −0.0905555 0.528068i
\(721\) 17.8469i 0.664652i
\(722\) 24.2308 9.76499i 0.901778 0.363415i
\(723\) 10.5707 + 10.5707i 0.393128 + 0.393128i
\(724\) −6.46288 + 6.21909i −0.240191 + 0.231131i
\(725\) 8.89357 + 20.1012i 0.330299 + 0.746540i
\(726\) −7.17603 + 16.8642i −0.266327 + 0.625889i
\(727\) −16.6943 16.6943i −0.619157 0.619157i 0.326159 0.945315i \(-0.394246\pi\)
−0.945315 + 0.326159i \(0.894246\pi\)
\(728\) 13.9111 10.5748i 0.515581 0.391929i
\(729\) 21.8124i 0.807867i
\(730\) −26.5234 5.21204i −0.981674 0.192906i
\(731\) 3.36359i 0.124407i
\(732\) −0.534717 + 27.8160i −0.0197637 + 1.02811i
\(733\) −24.1094 + 24.1094i −0.890499 + 0.890499i −0.994570 0.104071i \(-0.966813\pi\)
0.104071 + 0.994570i \(0.466813\pi\)
\(734\) −46.0606 19.5996i −1.70013 0.723435i
\(735\) −5.85123 + 8.98716i −0.215826 + 0.331497i
\(736\) −34.2087 16.1362i −1.26095 0.594788i
\(737\) 0.965415 0.965415i 0.0355615 0.0355615i
\(738\) 6.16701 2.48529i 0.227011 0.0914849i
\(739\) 38.8417i 1.42881i 0.699731 + 0.714407i \(0.253303\pi\)
−0.699731 + 0.714407i \(0.746697\pi\)
\(740\) −7.60616 39.7523i −0.279608 1.46133i
\(741\) 12.4712 22.8671i 0.458141 0.840044i
\(742\) −17.1595 + 6.91523i −0.629943 + 0.253866i
\(743\) 1.46488 + 1.46488i 0.0537411 + 0.0537411i 0.733467 0.679726i \(-0.237901\pi\)
−0.679726 + 0.733467i \(0.737901\pi\)
\(744\) 3.70734 + 9.73504i 0.135918 + 0.356904i
\(745\) 1.10881 + 5.24660i 0.0406238 + 0.192221i
\(746\) 23.8137 + 10.1332i 0.871881 + 0.371001i
\(747\) 7.41417 7.41417i 0.271270 0.271270i
\(748\) −0.00819582 + 0.426347i −0.000299669 + 0.0155888i
\(749\) −28.8747 −1.05506
\(750\) 18.1992 4.11778i 0.664542 0.150360i
\(751\) 3.07742i 0.112297i 0.998422 + 0.0561484i \(0.0178820\pi\)
−0.998422 + 0.0561484i \(0.982118\pi\)
\(752\) −31.2960 33.7996i −1.14125 1.23255i
\(753\) −13.4255 13.4255i −0.489253 0.489253i
\(754\) −17.5813 + 13.9060i −0.640275 + 0.506426i
\(755\) −2.60429 12.3228i −0.0947798 0.448472i
\(756\) 13.4263 12.9199i 0.488312 0.469892i
\(757\) −31.9991 + 31.9991i −1.16303 + 1.16303i −0.179219 + 0.983809i \(0.557357\pi\)
−0.983809 + 0.179219i \(0.942643\pi\)
\(758\) −13.4606 33.4012i −0.488913 1.21319i
\(759\) 1.07207i 0.0389136i
\(760\) −8.19393 + 37.8388i −0.297225 + 1.37256i
\(761\) 9.64916i 0.349782i 0.984588 + 0.174891i \(0.0559572\pi\)
−0.984588 + 0.174891i \(0.944043\pi\)
\(762\) −33.1943 + 13.3773i −1.20250 + 0.484607i
\(763\) −1.90252 + 1.90252i −0.0688758 + 0.0688758i
\(764\) 32.2620 + 33.5267i 1.16720 + 1.21295i
\(765\) −3.07735 + 4.72665i −0.111262 + 0.170892i
\(766\) −43.6483 18.5731i −1.57708 0.671075i
\(767\) −18.9410 + 5.57209i −0.683918 + 0.201196i
\(768\) 14.3375 12.2865i 0.517362 0.443352i
\(769\) 13.2266 0.476963 0.238481 0.971147i \(-0.423350\pi\)
0.238481 + 0.971147i \(0.423350\pi\)
\(770\) −0.722379 0.141953i −0.0260327 0.00511562i
\(771\) 26.7519i 0.963445i
\(772\) 0.0487625 2.53663i 0.00175500 0.0912952i
\(773\) 0.434455 0.434455i 0.0156263 0.0156263i −0.699250 0.714877i \(-0.746483\pi\)
0.714877 + 0.699250i \(0.246483\pi\)
\(774\) 4.48316 + 1.90767i 0.161144 + 0.0685696i
\(775\) 14.2700