Properties

Label 260.2.p.d.103.13
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 103.13
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.528615 + 1.31170i) q^{2} +(0.834468 - 0.834468i) q^{3} +(-1.44113 - 1.38677i) q^{4} +(0.462357 + 2.18774i) q^{5} +(0.653463 + 1.53569i) q^{6} +(-1.21162 + 1.21162i) q^{7} +(2.58084 - 1.15727i) q^{8} +1.60733i q^{9} +O(q^{10})\) \(q+(-0.528615 + 1.31170i) 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} +(2.58084 - 1.15727i) q^{8} +1.60733i q^{9} +(-3.11408 - 0.549999i) q^{10} +0.135866 q^{11} +(-2.35980 + 0.0453632i) q^{12} +(3.45898 + 1.01757i) 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} +(-2.10834 - 0.849657i) q^{18} +6.12150i q^{19} +(2.36758 - 3.79401i) q^{20} +2.02211i q^{21} +(-0.0718210 + 0.178217i) 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} +(3.42634 - 0.0658656i) q^{28} -4.39615i q^{29} +(-3.05756 + 2.13964i) q^{30} -3.12087 q^{31} +(-5.32420 - 1.91125i) 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} +(-8.02960 - 3.23592i) q^{38} +(3.73554 - 2.03728i) q^{39} +(3.72508 + 5.11114i) q^{40} -2.92506i q^{41} +(-2.65241 - 1.06892i) 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} +(3.46369 + 3.20712i) q^{48} +4.06397i q^{49} +(-0.236559 - 7.06711i) q^{50} +1.85194i q^{51} +(-3.57372 - 6.26327i) 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} +(5.76645 + 2.32387i) q^{58} +5.47588i q^{59} +(-1.19031 - 5.14166i) q^{60} +11.7875 q^{61} +(1.64974 - 4.09366i) q^{62} +(-1.94746 - 1.94746i) q^{63} +(5.32144 - 5.97346i) q^{64} +(-0.626900 + 8.03785i) q^{65} +(0.0887836 + 0.208648i) q^{66} +(7.10562 - 7.10562i) q^{67} +(3.13799 - 0.0603226i) q^{68} -7.89060i q^{69} +(4.43946 - 3.10668i) q^{70} -4.49049 q^{71} +(1.86011 + 4.14825i) 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} +(0.697647 + 5.97685i) q^{78} +0.944179 q^{79} +(-8.67344 + 2.18438i) q^{80} +1.59452 q^{81} +(3.83681 + 1.54623i) 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} +(0.350649 - 0.157234i) q^{88} +3.22796 q^{89} +(0.884028 - 5.00535i) q^{90} +(-5.42386 + 2.95805i) q^{91} +(-13.3701 + 0.257018i) 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} +(-5.33073 - 2.14827i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.528615 + 1.31170i −0.373787 + 0.927515i
\(3\) 0.834468 0.834468i 0.481780 0.481780i −0.423920 0.905700i \(-0.639346\pi\)
0.905700 + 0.423920i \(0.139346\pi\)
\(4\) −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 \(0.354967\pi\)
\(8\) 2.58084 1.15727i 0.912464 0.409158i
\(9\) 1.60733i 0.535776i
\(10\) −3.11408 0.549999i −0.984759 0.173925i
\(11\) 0.135866 0.0409653 0.0204826 0.999790i \(-0.493480\pi\)
0.0204826 + 0.999790i \(0.493480\pi\)
\(12\) −2.35980 + 0.0453632i −0.681214 + 0.0130952i
\(13\) 3.45898 + 1.01757i 0.959349 + 0.282223i
\(14\) −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 \(0.310947\pi\)
\(18\) −2.10834 0.849657i −0.496940 0.200266i
\(19\) 6.12150i 1.40437i 0.711995 + 0.702185i \(0.247792\pi\)
−0.711995 + 0.702185i \(0.752208\pi\)
\(20\) 2.36758 3.79401i 0.529408 0.848367i
\(21\) 2.02211i 0.441261i
\(22\) −0.0718210 + 0.178217i −0.0153123 + 0.0379959i
\(23\) 4.72792 4.72792i 0.985840 0.985840i −0.0140607 0.999901i \(-0.504476\pi\)
0.999901 + 0.0140607i \(0.00447582\pi\)
\(24\) 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
\(28\) 3.42634 0.0658656i 0.647517 0.0124474i
\(29\) 4.39615i 0.816345i −0.912905 0.408172i \(-0.866166\pi\)
0.912905 0.408172i \(-0.133834\pi\)
\(30\) −3.05756 + 2.13964i −0.558231 + 0.390644i
\(31\) −3.12087 −0.560525 −0.280263 0.959923i \(-0.590422\pi\)
−0.280263 + 0.959923i \(0.590422\pi\)
\(32\) −5.32420 1.91125i −0.941195 0.337864i
\(33\) 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 \(-0.982966\pi\)
−0.0534895 0.998568i \(-0.517034\pi\)
\(38\) −8.02960 3.23592i −1.30257 0.524935i
\(39\) 3.73554 2.03728i 0.598165 0.326226i
\(40\) 3.72508 + 5.11114i 0.588987 + 0.808142i
\(41\) 2.92506i 0.456817i −0.973565 0.228409i \(-0.926648\pi\)
0.973565 0.228409i \(-0.0733522\pi\)
\(42\) −2.65241 1.06892i −0.409276 0.164937i
\(43\) 1.51561 1.51561i 0.231128 0.231128i −0.582035 0.813163i \(-0.697744\pi\)
0.813163 + 0.582035i \(0.197744\pi\)
\(44\) −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 \(-0.0673766\pi\)
\(48\) 3.46369 + 3.20712i 0.499940 + 0.462908i
\(49\) 4.06397i 0.580567i
\(50\) −0.236559 7.06711i −0.0334545 0.999440i
\(51\) 1.85194i 0.259323i
\(52\) −3.57372 6.26327i −0.495585 0.868559i
\(53\) −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
\(58\) 5.76645 + 2.32387i 0.757172 + 0.305139i
\(59\) 5.47588i 0.712899i 0.934315 + 0.356449i \(0.116013\pi\)
−0.934315 + 0.356449i \(0.883987\pi\)
\(60\) −1.19031 5.14166i −0.153668 0.663785i
\(61\) 11.7875 1.50923 0.754616 0.656167i \(-0.227823\pi\)
0.754616 + 0.656167i \(0.227823\pi\)
\(62\) 1.64974 4.09366i 0.209517 0.519895i
\(63\) −1.94746 1.94746i −0.245357 0.245357i
\(64\) 5.32144 5.97346i 0.665180 0.746683i
\(65\) −0.626900 + 8.03785i −0.0777573 + 0.996972i
\(66\) 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 \(0.0396273\pi\)
\(68\) 3.13799 0.0603226i 0.380537 0.00731519i
\(69\) 7.89060i 0.949917i
\(70\) 4.43946 3.10668i 0.530617 0.371320i
\(71\) −4.49049 −0.532923 −0.266461 0.963846i \(-0.585854\pi\)
−0.266461 + 0.963846i \(0.585854\pi\)
\(72\) 1.86011 + 4.14825i 0.219217 + 0.488876i
\(73\) 6.04423 6.04423i 0.707424 0.707424i −0.258569 0.965993i \(-0.583251\pi\)
0.965993 + 0.258569i \(0.0832509\pi\)
\(74\) 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
\(78\) 0.697647 + 5.97685i 0.0789930 + 0.676745i
\(79\) 0.944179 0.106228 0.0531142 0.998588i \(-0.483085\pi\)
0.0531142 + 0.998588i \(0.483085\pi\)
\(80\) −8.67344 + 2.18438i −0.969720 + 0.244221i
\(81\) 1.59452 0.177169
\(82\) 3.83681 + 1.54623i 0.423705 + 0.170752i
\(83\) −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
\(88\) 0.350649 0.157234i 0.0373793 0.0167613i
\(89\) 3.22796 0.342163 0.171082 0.985257i \(-0.445274\pi\)
0.171082 + 0.985257i \(0.445274\pi\)
\(90\) 0.884028 5.00535i 0.0931847 0.527610i
\(91\) −5.42386 + 2.95805i −0.568575 + 0.310088i
\(92\) −13.3701 + 0.257018i −1.39393 + 0.0267960i
\(93\) −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 0.814896 0.579607i \(-0.196794\pi\)
−0.579607 + 0.814896i \(0.696794\pi\)
\(98\) −5.33073 2.14827i −0.538485 0.217009i
\(99\) 0.218382i 0.0219482i
\(100\) 9.39500 + 3.42548i 0.939500 + 0.342548i
\(101\) 2.63267 0.261960 0.130980 0.991385i \(-0.458188\pi\)
0.130980 + 0.991385i \(0.458188\pi\)
\(102\) −2.42919 0.978961i −0.240526 0.0969316i
\(103\) −7.36490 + 7.36490i −0.725685 + 0.725685i −0.969757 0.244072i \(-0.921517\pi\)
0.244072 + 0.969757i \(0.421517\pi\)
\(104\) 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 \(-0.946986\pi\)
−0.165780 0.986163i \(-0.553014\pi\)
\(108\) −0.209003 10.8723i −0.0201113 1.04619i
\(109\) −1.57023 −0.150401 −0.0752004 0.997168i \(-0.523960\pi\)
−0.0752004 + 0.997168i \(0.523960\pi\)
\(110\) −0.423099 0.0747264i −0.0403409 0.00712488i
\(111\) −10.6802 −1.01372
\(112\) −5.02915 4.65662i −0.475210 0.440010i
\(113\) 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
\(117\) −1.63557 + 5.55971i −0.151208 + 0.513996i
\(118\) −7.18273 2.89463i −0.661224 0.266472i
\(119\) 2.68894i 0.246495i
\(120\) 7.37354 + 1.15662i 0.673109 + 0.105584i
\(121\) −10.9815 −0.998322
\(122\) −6.23103 + 15.4617i −0.564131 + 1.39983i
\(123\) −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 \(0.150374\pi\)
0.455037 + 0.890472i \(0.349626\pi\)
\(128\) 5.02242 + 10.1378i 0.443923 + 0.896065i
\(129\) 2.52945i 0.222706i
\(130\) −10.2119 5.07123i −0.895642 0.444776i
\(131\) 0.235056i 0.0205370i −0.999947 0.0102685i \(-0.996731\pi\)
0.999947 0.0102685i \(-0.00326862\pi\)
\(132\) −0.320617 + 0.00616333i −0.0279061 + 0.000536449i
\(133\) −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 \(0.0157993\pi\)
0.0496147 + 0.998768i \(0.484201\pi\)
\(138\) 10.3501 + 4.17109i 0.881062 + 0.355067i
\(139\) −19.6129 −1.66354 −0.831772 0.555117i \(-0.812673\pi\)
−0.831772 + 0.555117i \(0.812673\pi\)
\(140\) 1.72829 + 7.46549i 0.146067 + 0.630949i
\(141\) 13.5901i 1.14449i
\(142\) 2.37374 5.89019i 0.199200 0.494294i
\(143\) 0.469960 + 0.138254i 0.0393000 + 0.0115613i
\(144\) −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
\(148\) 0.347884 + 18.0969i 0.0285959 + 1.48756i
\(149\) 2.39818 0.196467 0.0982333 0.995163i \(-0.468681\pi\)
0.0982333 + 0.995163i \(0.468681\pi\)
\(150\) −6.09468 5.69987i −0.497628 0.465393i
\(151\) 5.63264 0.458378 0.229189 0.973382i \(-0.426393\pi\)
0.229189 + 0.973382i \(0.426393\pi\)
\(152\) 7.08424 + 15.7986i 0.574608 + 1.28144i
\(153\) −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 \(0.315554\pi\)
\(158\) −0.499107 + 1.23848i −0.0397068 + 0.0985284i
\(159\) −9.00974 −0.714519
\(160\) 1.71964 12.5317i 0.135950 0.990716i
\(161\) 11.4569i 0.902927i
\(162\) −0.842886 + 2.09154i −0.0662233 + 0.164327i
\(163\) −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 \(0.144510\pi\)
\(168\) 2.34013 + 5.21874i 0.180545 + 0.402634i
\(169\) 10.9291 + 7.03951i 0.840700 + 0.541501i
\(170\) 4.06585 2.84524i 0.311837 0.218220i
\(171\) −9.83926 −0.752427
\(172\) −4.28599 + 0.0823911i −0.326804 + 0.00628226i
\(173\) 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
\(178\) −1.70635 + 4.23413i −0.127896 + 0.317361i
\(179\) 12.7865 0.955706 0.477853 0.878440i \(-0.341415\pi\)
0.477853 + 0.878440i \(0.341415\pi\)
\(180\) 6.09822 + 3.80548i 0.454535 + 0.283644i
\(181\) −4.48458 −0.333337 −0.166668 0.986013i \(-0.553301\pi\)
−0.166668 + 0.986013i \(0.553301\pi\)
\(182\) −1.01296 8.67817i −0.0750854 0.643269i
\(183\) 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
\(188\) −23.0275 + 0.442666i −1.67946 + 0.0322848i
\(189\) −9.31652 −0.677677
\(190\) 3.36682 19.0629i 0.244255 1.38296i
\(191\) 23.2641i 1.68333i −0.540000 0.841665i \(-0.681576\pi\)
0.540000 0.841665i \(-0.318424\pi\)
\(192\) −0.544090 9.42523i −0.0392663 0.680208i
\(193\) −0.896999 + 0.896999i −0.0645674 + 0.0645674i −0.738653 0.674086i \(-0.764538\pi\)
0.674086 + 0.738653i \(0.264538\pi\)
\(194\) −4.26463 + 1.81468i −0.306182 + 0.130286i
\(195\) 6.18420 + 7.23045i 0.442860 + 0.517783i
\(196\) 5.63580 5.85672i 0.402557 0.418337i
\(197\) −6.48712 6.48712i −0.462188 0.462188i 0.437184 0.899372i \(-0.355976\pi\)
−0.899372 + 0.437184i \(0.855976\pi\)
\(198\) −0.286452 0.115440i −0.0203573 0.00820395i
\(199\) −6.60481 −0.468203 −0.234101 0.972212i \(-0.575215\pi\)
−0.234101 + 0.972212i \(0.575215\pi\)
\(200\) −9.45955 + 10.5127i −0.668891 + 0.743360i
\(201\) 11.8588i 0.836456i
\(202\) −1.39167 + 3.45328i −0.0979173 + 0.242972i
\(203\) 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
\(208\) −3.53552 + 13.9821i −0.245144 + 0.969487i
\(209\) 0.831707i 0.0575304i
\(210\) 1.11216 6.29701i 0.0767462 0.434535i
\(211\) 6.75732i 0.465193i 0.972573 + 0.232596i \(0.0747221\pi\)
−0.972573 + 0.232596i \(0.925278\pi\)
\(212\) 0.293472 + 15.2664i 0.0201557 + 1.04850i
\(213\) −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
\(218\) 0.830047 2.05968i 0.0562179 0.139499i
\(219\) 10.0874i 0.681646i
\(220\) 0.321675 0.515479i 0.0216873 0.0347536i
\(221\) −4.96741 + 2.70912i −0.334144 + 0.182235i
\(222\) 5.64572 14.0093i 0.378916 0.940241i
\(223\) 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 \(0.114184\pi\)
\(228\) −0.277691 14.4455i −0.0183905 0.956676i
\(229\) −29.3112 −1.93694 −0.968470 0.249129i \(-0.919856\pi\)
−0.968470 + 0.249129i \(0.919856\pi\)
\(230\) −17.3235 + 12.1228i −1.14228 + 0.799353i
\(231\) 0.274737i 0.0180764i
\(232\) −5.08754 11.3458i −0.334014 0.744885i
\(233\) 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
\(238\) 3.52710 + 1.42141i 0.228628 + 0.0921366i
\(239\) 15.2637i 0.987328i 0.869653 + 0.493664i \(0.164343\pi\)
−0.869653 + 0.493664i \(0.835657\pi\)
\(240\) −5.41491 + 9.06050i −0.349531 + 0.584853i
\(241\) 12.6676i 0.815990i 0.912984 + 0.407995i \(0.133772\pi\)
−0.912984 + 0.407995i \(0.866228\pi\)
\(242\) 5.80500 14.4045i 0.373160 0.925958i
\(243\) −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
\(247\) −6.22906 + 21.1742i −0.396345 + 1.34728i
\(248\) −8.05446 + 3.61170i −0.511459 + 0.229343i
\(249\) −7.69836 −0.487863
\(250\) 15.3517 3.78506i 0.970924 0.239388i
\(251\) 16.0887i 1.01551i −0.861501 0.507755i \(-0.830475\pi\)
0.861501 0.507755i \(-0.169525\pi\)
\(252\) 0.105868 + 5.50724i 0.00666903 + 0.346924i
\(253\) 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 \(0.499962\pi\)
\(258\) 3.31789 + 1.33710i 0.206563 + 0.0832445i
\(259\) 15.5073 0.963576
\(260\) 12.0501 10.7142i 0.747316 0.664469i
\(261\) 7.06605 0.437378
\(262\) 0.308324 + 0.124254i 0.0190483 + 0.00767645i
\(263\) −1.00613 + 1.00613i −0.0620408 + 0.0620408i −0.737446 0.675406i \(-0.763969\pi\)
0.675406 + 0.737446i \(0.263969\pi\)
\(264\) 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
\(268\) −20.0940 + 0.386274i −1.22744 + 0.0235954i
\(269\) 19.2720i 1.17504i −0.809211 0.587519i \(-0.800105\pi\)
0.809211 0.587519i \(-0.199895\pi\)
\(270\) −9.85804 14.0872i −0.599941 0.857317i
\(271\) 28.0613 1.70460 0.852301 0.523052i \(-0.175207\pi\)
0.852301 + 0.523052i \(0.175207\pi\)
\(272\) −4.60591 4.26474i −0.279274 0.258588i
\(273\) −2.05764 + 6.99444i −0.124534 + 0.423323i
\(274\) −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 \(0.0684697\pi\)
\(278\) 10.3677 25.7263i 0.621811 1.54296i
\(279\) 5.01626i 0.300316i
\(280\) −10.7061 1.67937i −0.639813 0.100362i
\(281\) 17.4196i 1.03917i −0.854420 0.519583i \(-0.826087\pi\)
0.854420 0.519583i \(-0.173913\pi\)
\(282\) 17.8262 + 7.18392i 1.06153 + 0.427796i
\(283\) 10.9442 10.9442i 0.650568 0.650568i −0.302562 0.953130i \(-0.597842\pi\)
0.953130 + 0.302562i \(0.0978420\pi\)
\(284\) 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
\(288\) 3.07200 8.55773i 0.181019 0.504269i
\(289\) 14.5373i 0.855138i
\(290\) −2.41788 + 13.6900i −0.141983 + 0.803903i
\(291\) 3.86748 0.226716
\(292\) −17.0925 + 0.328575i −1.00026 + 0.0192284i
\(293\) 1.56341 1.56341i 0.0913353 0.0913353i −0.659963 0.751298i \(-0.729428\pi\)
0.751298 + 0.659963i \(0.229428\pi\)
\(294\) −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
\(298\) −1.26771 + 3.14570i −0.0734366 + 0.182226i
\(299\) 21.1648 11.5428i 1.22399 0.667538i
\(300\) 10.6983 4.98137i 0.617666 0.287600i
\(301\) 3.67267i 0.211689i
\(302\) −2.97750 + 7.38836i −0.171336 + 0.425152i
\(303\) 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 \(0.412723\pi\)
\(308\) 0.465524 0.00894893i 0.0265257 0.000509913i
\(309\) 12.2915i 0.699241i
\(310\) 9.71865 + 1.71648i 0.551982 + 0.0974893i
\(311\) 18.9025i 1.07186i −0.844261 0.535932i \(-0.819960\pi\)
0.844261 0.535932i \(-0.180040\pi\)
\(312\) 7.28313 9.58092i 0.412326 0.542413i
\(313\) 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 0.357461 0.933928i \(-0.383643\pi\)
−0.933928 + 0.357461i \(0.883643\pi\)
\(318\) 4.76268 11.8181i 0.267078 0.662726i
\(319\) 0.597290i 0.0334418i
\(320\) 15.5288 + 8.88009i 0.868087 + 0.496412i
\(321\) −19.8867 −1.10997
\(322\) −15.0280 6.05626i −0.837478 0.337502i
\(323\) −6.79273 6.79273i −0.377958 0.377958i
\(324\) −2.29791 2.21123i −0.127662 0.122846i
\(325\) −17.8746 + 2.34486i −0.991505 + 0.130069i
\(326\) 11.7927 5.01802i 0.653138 0.277922i
\(327\) −1.31031 + 1.31031i −0.0724602 + 0.0724602i
\(328\) −3.38509 7.54910i −0.186910 0.416829i
\(329\) 19.7323i 1.08788i
\(330\) −0.415419 + 0.290706i −0.0228681 + 0.0160028i
\(331\) −16.3191 −0.896980 −0.448490 0.893788i \(-0.648038\pi\)
−0.448490 + 0.893788i \(0.648038\pi\)
\(332\) 0.250756 + 13.0444i 0.0137620 + 0.715903i
\(333\) 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 \(0.0609779\pi\)
\(338\) −15.0110 + 10.6146i −0.816493 + 0.577356i
\(339\) 1.26027 0.0684485
\(340\) 1.58284 + 6.83723i 0.0858416 + 0.370801i
\(341\) −0.424022 −0.0229621
\(342\) 5.20117 12.9062i 0.281247 0.697887i
\(343\) −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 0.492505 0.870310i \(-0.336081\pi\)
−0.870310 + 0.492505i \(0.836081\pi\)
\(348\) 0.199423 + 10.3740i 0.0106902 + 0.556106i
\(349\) 19.3224 1.03430 0.517152 0.855894i \(-0.326992\pi\)
0.517152 + 0.855894i \(0.326992\pi\)
\(350\) 8.84925 + 8.27601i 0.473012 + 0.442371i
\(351\) 9.38641 + 17.2108i 0.501010 + 0.918647i
\(352\) −0.723380 0.259674i −0.0385563 0.0138407i
\(353\) −1.78993 + 1.78993i −0.0952685 + 0.0952685i −0.753135 0.657866i \(-0.771459\pi\)
0.657866 + 0.753135i \(0.271459\pi\)
\(354\) −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
\(358\) −6.75912 + 16.7721i −0.357230 + 0.886431i
\(359\) 7.57948i 0.400029i 0.979793 + 0.200015i \(0.0640990\pi\)
−0.979793 + 0.200015i \(0.935901\pi\)
\(360\) −8.21527 + 5.98743i −0.432983 + 0.315565i
\(361\) −18.4728 −0.972252
\(362\) 2.37062 5.88245i 0.124597 0.309175i
\(363\) −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 \(-0.875048\pi\)
−0.382544 0.923937i \(-0.624952\pi\)
\(368\) 19.6245 + 18.1709i 1.02300 + 0.947224i
\(369\) 4.70152 0.244752
\(370\) 16.4086 + 23.4480i 0.853044 + 1.21900i
\(371\) 13.0818 0.679173
\(372\) 7.36462 0.141573i 0.381838 0.00734020i
\(373\) −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
\(377\) 4.47339 15.2062i 0.230391 0.783159i
\(378\) 4.92485 12.2205i 0.253307 0.628555i
\(379\) 25.4640i 1.30800i 0.756495 + 0.653999i \(0.226910\pi\)
−0.756495 + 0.653999i \(0.773090\pi\)
\(380\) 23.2251 + 14.4932i 1.19142 + 0.743484i
\(381\) 25.3063 1.29648
\(382\) 30.5156 + 12.2977i 1.56131 + 0.629207i
\(383\) 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
\(388\) −0.125974 6.55319i −0.00639537 0.332688i
\(389\) 27.0309i 1.37052i −0.728297 0.685262i \(-0.759688\pi\)
0.728297 0.685262i \(-0.240312\pi\)
\(390\) −12.7533 + 4.28971i −0.645787 + 0.217218i
\(391\) 10.4927i 0.530638i
\(392\) 4.70312 + 10.4884i 0.237543 + 0.529747i
\(393\) −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 0.427617 0.903960i \(-0.359353\pi\)
−0.903960 + 0.427617i \(0.859353\pi\)
\(398\) 3.49140 8.66356i 0.175008 0.434265i
\(399\) −12.3783 −0.619693
\(400\) −8.78909 17.9653i −0.439455 0.898265i
\(401\) 16.6170i 0.829811i 0.909864 + 0.414906i \(0.136185\pi\)
−0.909864 + 0.414906i \(0.863815\pi\)
\(402\) 15.5553 + 6.26874i 0.775825 + 0.312656i
\(403\) −10.7950 3.17571i −0.537739 0.158193i
\(404\) −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
\(408\) 2.14319 + 4.77955i 0.106104 + 0.236623i
\(409\) 9.84810 0.486957 0.243479 0.969906i \(-0.421711\pi\)
0.243479 + 0.969906i \(0.421711\pi\)
\(410\) −1.60878 + 9.10887i −0.0794519 + 0.449855i
\(411\) 20.4795 1.01018
\(412\) 20.8272 0.400369i 1.02608 0.0197248i
\(413\) −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
\(418\) −1.09095 0.439652i −0.0533603 0.0215041i
\(419\) −35.8407 −1.75093 −0.875466 0.483279i \(-0.839446\pi\)
−0.875466 + 0.483279i \(0.839446\pi\)
\(420\) 7.67191 + 4.78751i 0.374351 + 0.233607i
\(421\) 29.4970i 1.43760i 0.695218 + 0.718799i \(0.255308\pi\)
−0.695218 + 0.718799i \(0.744692\pi\)
\(422\) −8.86360 3.57202i −0.431473 0.173883i
\(423\) 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
\(428\) 0.647763 + 33.6967i 0.0313108 + 1.62879i
\(429\) 0.507534 0.276798i 0.0245040 0.0133639i
\(430\) −5.55331 + 3.88614i −0.267804 + 0.187406i
\(431\) −19.7901 −0.953253 −0.476627 0.879106i \(-0.658141\pi\)
−0.476627 + 0.879106i \(0.658141\pi\)
\(432\) −14.7763 + 15.9583i −0.710923 + 0.767796i
\(433\) −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
\(438\) 13.2317 + 5.33237i 0.632236 + 0.254790i
\(439\) −6.80513 −0.324791 −0.162396 0.986726i \(-0.551922\pi\)
−0.162396 + 0.986726i \(0.551922\pi\)
\(440\) 0.506114 + 0.694432i 0.0241280 + 0.0331058i
\(441\) −6.53213 −0.311054
\(442\) −0.927711 7.94785i −0.0441267 0.378041i
\(443\) −15.2445 + 15.2445i −0.724286 + 0.724286i −0.969475 0.245189i \(-0.921150\pi\)
0.245189 + 0.969475i \(0.421150\pi\)
\(444\) 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
\(448\) 0.789998 + 13.6851i 0.0373239 + 0.646560i
\(449\) −8.62094 −0.406847 −0.203424 0.979091i \(-0.565207\pi\)
−0.203424 + 0.979091i \(0.565207\pi\)
\(450\) 11.3592 0.380228i 0.535476 0.0179241i
\(451\) 0.397417i 0.0187136i
\(452\) −0.0410505 2.13545i −0.00193085 0.100443i
\(453\) 4.70026 4.70026i 0.220837 0.220837i
\(454\) 6.90530 + 16.2280i 0.324082 + 0.761617i
\(455\) −8.97923 10.4984i −0.420953 0.492170i
\(456\) 19.0950 + 7.27185i 0.894205 + 0.340536i
\(457\) −15.8492 15.8492i −0.741395 0.741395i 0.231452 0.972846i \(-0.425653\pi\)
−0.972846 + 0.231452i \(0.925653\pi\)
\(458\) 15.4943 38.4477i 0.724003 1.79654i
\(459\) −8.53248 −0.398262
\(460\) −6.74405 29.1316i −0.314443 1.35827i
\(461\) 31.2187i 1.45400i −0.686638 0.726999i \(-0.740914\pi\)
0.686638 0.726999i \(-0.259086\pi\)
\(462\) −0.360373 0.145230i −0.0167661 0.00675671i
\(463\) −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 0.622799 0.782382i \(-0.285995\pi\)
−0.782382 + 0.622799i \(0.785995\pi\)
\(468\) 10.0671 5.74413i 0.465353 0.265523i
\(469\) 17.2186i 0.795079i
\(470\) −29.8365 + 20.8792i −1.37625 + 0.963088i
\(471\) 6.04756i 0.278657i
\(472\) 6.33708 + 14.1324i 0.291688 + 0.650494i
\(473\) 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
\(478\) −20.0215 8.06863i −0.915761 0.369050i
\(479\) 30.8029i 1.40742i −0.710488 0.703710i \(-0.751526\pi\)
0.710488 0.703710i \(-0.248474\pi\)
\(480\) −9.02229 11.8923i −0.411809 0.542805i
\(481\) −15.6236 28.6473i −0.712376 1.30621i
\(482\) −16.6161 6.69626i −0.756843 0.305006i
\(483\) 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 \(0.491920\pi\)
\(488\) 30.4216 13.6413i 1.37712 0.617514i
\(489\) −10.6945 −0.483622
\(490\) 2.23518 12.6555i 0.100975 0.571719i
\(491\) 31.4355i 1.41866i 0.704875 + 0.709332i \(0.251003\pi\)
−0.704875 + 0.709332i \(0.748997\pi\)
\(492\) 0.132690 + 6.90254i 0.00598212 + 0.311190i
\(493\) 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
\(498\) 4.06946 10.0980i 0.182357 0.452500i
\(499\) 30.8204i 1.37971i −0.723948 0.689855i \(-0.757674\pi\)
0.723948 0.689855i \(-0.242326\pi\)
\(500\) −3.15024 + 22.1377i −0.140883 + 0.990026i
\(501\) 9.92418i 0.443380i
\(502\) 21.1036 + 8.50473i 0.941901 + 0.379585i
\(503\) −15.7158 + 15.7158i −0.700733 + 0.700733i −0.964568 0.263835i \(-0.915013\pi\)
0.263835 + 0.964568i \(0.415013\pi\)
\(504\) −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
\(507\) 14.9942 3.24574i 0.665917 0.144148i
\(508\) −0.824294 42.8799i −0.0365722 1.90249i
\(509\) 38.9696 1.72730 0.863649 0.504093i \(-0.168173\pi\)
0.863649 + 0.504093i \(0.168173\pi\)
\(510\) 1.01856 5.76708i 0.0451027 0.255371i
\(511\) 14.6466i 0.647927i
\(512\) 6.82085 21.5749i 0.301442 0.953485i
\(513\) −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
\(518\) −8.19738 + 20.3410i −0.360172 + 0.893730i
\(519\) 14.4300 0.633407
\(520\) 7.68405 + 21.4699i 0.336968 + 0.941516i
\(521\) 6.74679 0.295582 0.147791 0.989019i \(-0.452784\pi\)
0.147791 + 0.989019i \(0.452784\pi\)
\(522\) −3.73522 + 9.26857i −0.163486 + 0.405674i
\(523\) 17.7325 17.7325i 0.775387 0.775387i −0.203655 0.979043i \(-0.565282\pi\)
0.979043 + 0.203655i \(0.0652822\pi\)
\(524\) −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
\(528\) 0.470599 + 0.435740i 0.0204802 + 0.0189632i
\(529\) 21.7065i 0.943763i
\(530\) 13.8422 + 19.7805i 0.601266 + 0.859210i
\(531\) −8.80153 −0.381954
\(532\) 0.403197 + 20.9743i 0.0174808 + 0.909352i
\(533\) 2.97645 10.1177i 0.128924 0.438247i
\(534\) 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
\(538\) 25.2792 + 10.1875i 1.08986 + 0.439214i
\(539\) 0.552157i 0.0237831i
\(540\) 23.6893 5.48415i 1.01942 0.236000i
\(541\) 31.9567i 1.37393i 0.726692 + 0.686963i \(0.241057\pi\)
−0.726692 + 0.686963i \(0.758943\pi\)
\(542\) −14.8336 + 36.8081i −0.637158 + 1.58104i
\(543\) −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 0.563007 0.826452i \(-0.309644\pi\)
−0.826452 + 0.563007i \(0.809644\pi\)
\(548\) −0.667074 34.7012i −0.0284960 1.48236i
\(549\) 18.9463i 0.808610i
\(550\) −0.0321405 0.960183i −0.00137047 0.0409423i
\(551\) 26.9111 1.14645
\(552\) −9.13157 20.3644i −0.388666 0.866765i
\(553\) −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 0.0395221 0.999219i \(-0.487416\pi\)
−0.999219 + 0.0395221i \(0.987416\pi\)
\(558\) 6.57985 + 2.65167i 0.278547 + 0.112254i
\(559\) 6.78469 3.70022i 0.286962 0.156503i
\(560\) 7.86224 13.1555i 0.332240 0.555922i
\(561\) 0.251616i 0.0106232i
\(562\) 22.8493 + 9.20825i 0.963841 + 0.388426i
\(563\) −6.24205 + 6.24205i −0.263071 + 0.263071i −0.826301 0.563229i \(-0.809559\pi\)
0.563229 + 0.826301i \(0.309559\pi\)
\(564\) −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
\(568\) −11.5892 + 5.19672i −0.486273 + 0.218049i
\(569\) 10.8680i 0.455611i 0.973707 + 0.227805i \(0.0731550\pi\)
−0.973707 + 0.227805i \(0.926845\pi\)
\(570\) −13.0978 18.7168i −0.548608 0.783962i
\(571\) 19.4497i 0.813943i 0.913441 + 0.406971i \(0.133415\pi\)
−0.913441 + 0.406971i \(0.866585\pi\)
\(572\) −0.485548 0.850968i −0.0203018 0.0355808i
\(573\) −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 0.398782 0.917046i \(-0.369433\pi\)
−0.917046 + 0.398782i \(0.869433\pi\)
\(578\) −19.0687 7.68465i −0.793153 0.319639i
\(579\) 1.49703i 0.0622146i
\(580\) −16.6791 10.4083i −0.692560 0.432179i
\(581\) 11.1777 0.463730
\(582\) −2.04440 + 5.07298i −0.0847433 + 0.210282i
\(583\) −0.733474 0.733474i −0.0303774 0.0303774i
\(584\) 8.60436 22.5940i 0.356051 0.934947i
\(585\) −12.9195 1.00763i −0.534154 0.0416605i
\(586\) 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 \(0.248821\pi\)
\(588\) −0.184355 9.59014i −0.00760265 0.395491i
\(589\) 19.1044i 0.787184i
\(590\) 3.01173 17.0523i 0.123991 0.702033i
\(591\) −10.8266 −0.445346
\(592\) 24.5950 26.5625i 1.01085 1.09171i
\(593\) −2.22865 + 2.22865i −0.0915195 + 0.0915195i −0.751384 0.659865i \(-0.770614\pi\)
0.659865 + 0.751384i \(0.270614\pi\)
\(594\) −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
\(598\) 3.95273 + 33.8636i 0.161639 + 1.38479i
\(599\) 9.98842 0.408116 0.204058 0.978959i \(-0.434587\pi\)
0.204058 + 0.978959i \(0.434587\pi\)
\(600\) 0.878818 + 16.6662i 0.0358776 + 0.680395i
\(601\) 26.6091 1.08541 0.542705 0.839924i \(-0.317400\pi\)
0.542705 + 0.839924i \(0.317400\pi\)
\(602\) −4.81745 1.94143i −0.196345 0.0791266i
\(603\) 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 0.538660 0.842523i \(-0.318931\pi\)
−0.842523 + 0.538660i \(0.818931\pi\)
\(608\) 11.6997 32.5921i 0.474486 1.32178i
\(609\) 8.88950 0.360221
\(610\) −36.7072 6.48310i −1.48623 0.262493i
\(611\) 36.4524 19.8803i 1.47471 0.804273i
\(612\) 0.0969582 + 5.04377i 0.00391930 + 0.203882i
\(613\) −25.6786 + 25.6786i −1.03715 + 1.03715i −0.0378679 + 0.999283i \(0.512057\pi\)
−0.999283 + 0.0378679i \(0.987943\pi\)
\(614\) −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 0.623089 0.782151i \(-0.285878\pi\)
−0.782151 + 0.623089i \(0.785878\pi\)
\(618\) −16.1229 6.49749i −0.648557 0.261367i
\(619\) 8.51161i 0.342111i −0.985261 0.171055i \(-0.945282\pi\)
0.985261 0.171055i \(-0.0547177\pi\)
\(620\) −7.38893 + 11.8406i −0.296747 + 0.475531i
\(621\) 36.3546 1.45886
\(622\) 24.7945 + 9.99215i 0.994169 + 0.400649i
\(623\) −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
\(628\) 10.2472 0.196986i 0.408908 0.00786058i
\(629\) 14.2022 0.566281
\(630\) 4.99346 + 7.13566i 0.198944 + 0.284292i
\(631\) −7.04210 −0.280341 −0.140171 0.990127i \(-0.544765\pi\)
−0.140171 + 0.990127i \(0.544765\pi\)
\(632\) 2.43677 1.09267i 0.0969296 0.0434641i
\(633\) 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
\(637\) −4.13537 + 14.0572i −0.163849 + 0.556967i
\(638\) 0.783467 + 0.315736i 0.0310178 + 0.0125001i
\(639\) 7.21768i 0.285527i
\(640\) −19.8568 + 15.6751i −0.784909 + 0.619611i
\(641\) −36.7633 −1.45206 −0.726032 0.687661i \(-0.758638\pi\)
−0.726032 + 0.687661i \(0.758638\pi\)
\(642\) 10.5124 26.0854i 0.414891 1.02951i
\(643\) 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 0.512678 0.858581i \(-0.328654\pi\)
−0.858581 + 0.512678i \(0.828654\pi\)
\(648\) 4.11519 1.84529i 0.161660 0.0724899i
\(649\) 0.743988i 0.0292041i
\(650\) 6.37302 24.6857i 0.249971 0.968253i
\(651\) 6.31075i 0.247338i
\(652\) 0.348349 + 18.1211i 0.0136424 + 0.709679i
\(653\) −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
\(658\) −25.8829 10.4308i −1.00902 0.406634i
\(659\) 30.2389 1.17794 0.588970 0.808155i \(-0.299534\pi\)
0.588970 + 0.808155i \(0.299534\pi\)
\(660\) −0.161723 0.698578i −0.00629507 0.0271921i
\(661\) 44.3556i 1.72523i 0.505857 + 0.862617i \(0.331176\pi\)
−0.505857 + 0.862617i \(0.668824\pi\)
\(662\) 8.62653 21.4059i 0.335279 0.831962i
\(663\) −1.88447 + 6.40581i −0.0731869 + 0.248781i
\(664\) −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
\(668\) −16.8159 + 0.323258i −0.650626 + 0.0125072i
\(669\) 7.42935 0.287235
\(670\) −26.0355 + 18.2194i −1.00584 + 0.703876i
\(671\) 1.60152 0.0618261
\(672\) 3.86475 10.7661i 0.149086 0.415312i
\(673\) 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 \(0.329121\pi\)
\(678\) −0.666198 + 1.65310i −0.0255852 + 0.0634870i
\(679\) −5.61543 −0.215501
\(680\) −9.80513 1.53804i −0.376009 0.0589812i
\(681\) 14.7167i 0.563946i
\(682\) 0.224144 0.556191i 0.00858292 0.0212977i
\(683\) 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
\(688\) 6.29095 + 5.82496i 0.239840 + 0.222074i
\(689\) −13.1799 24.1666i −0.502116 0.920675i
\(690\) −4.33982 + 24.5720i −0.165214 + 0.935439i
\(691\) −19.1766 −0.729511 −0.364756 0.931103i \(-0.618847\pi\)
−0.364756 + 0.931103i \(0.618847\pi\)
\(692\) −0.470025 24.4507i −0.0178677 0.929477i
\(693\) −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
\(698\) −10.2141 + 25.3453i −0.386609 + 0.959332i
\(699\) 29.7302 1.12450
\(700\) −15.5335 + 7.23277i −0.587111 + 0.273373i
\(701\) 1.64833 0.0622567 0.0311284 0.999515i \(-0.490090\pi\)
0.0311284 + 0.999515i \(0.490090\pi\)
\(702\) −27.5373 + 3.21429i −1.03933 + 0.121315i
\(703\) 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
\(708\) −0.248403 12.9220i −0.00933556 0.485637i
\(709\) −19.9349 −0.748672 −0.374336 0.927293i \(-0.622129\pi\)
−0.374336 + 0.927293i \(0.622129\pi\)
\(710\) 13.9837 + 2.46976i 0.524801 + 0.0926885i
\(711\) 1.51760i 0.0569146i
\(712\) 8.33085 3.73563i 0.312212 0.139999i
\(713\) −14.7553 + 14.7553i −0.552588 + 0.552588i
\(714\) 4.12937 1.75712i 0.154538 0.0657587i
\(715\) −0.0851746 + 1.09207i −0.00318535 + 0.0408412i
\(716\) −18.4270 17.7319i −0.688650 0.662673i
\(717\) 12.7371 + 12.7371i 0.475675 + 0.475675i
\(718\) −9.94203 4.00662i −0.371033 0.149526i
\(719\) 30.5169 1.13809 0.569044 0.822307i \(-0.307313\pi\)
0.569044 + 0.822307i \(0.307313\pi\)
\(720\) −3.51102 13.9410i −0.130848 0.519552i
\(721\) 17.8469i 0.664652i
\(722\) 9.76499 24.2308i 0.363415 0.901778i
\(723\) 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 0.945315 0.326159i \(-0.105754\pi\)
−0.326159 + 0.945315i \(0.605754\pi\)
\(728\) −10.5748 + 13.9111i −0.391929 + 0.515581i
\(729\) 21.8124i 0.807867i
\(730\) −22.1466 + 15.4979i −0.819681 + 0.573603i
\(731\) 3.36359i 0.124407i
\(732\) −27.8160 + 0.534717i −1.02811 + 0.0197637i
\(733\) 24.1094 24.1094i 0.890499 0.890499i −0.104071 0.994570i \(-0.533187\pi\)
0.994570 + 0.104071i \(0.0331868\pi\)
\(734\) 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
\(738\) −2.48529 + 6.16701i −0.0914849 + 0.227011i
\(739\) 38.8417i 1.42881i 0.699731 + 0.714407i \(0.253303\pi\)
−0.699731 + 0.714407i \(0.746697\pi\)
\(740\) −39.4306 + 9.12832i −1.44950 + 0.335564i
\(741\) 12.4712 + 22.8671i 0.458141 + 0.840044i
\(742\) −6.91523 + 17.1595i −0.253866 + 0.629943i
\(743\) 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
\(748\) 0.426347 0.00819582i 0.0155888 0.000299669i
\(749\) 28.8747 1.05506
\(750\) 9.65195 15.9690i 0.352440 0.583104i
\(751\) 3.07742i 0.112297i −0.998422 0.0561484i \(-0.982118\pi\)
0.998422 0.0561484i \(-0.0178820\pi\)
\(752\) 33.7996 + 31.2960i 1.23255 + 1.14125i
\(753\) −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 \(0.942643\pi\)
\(758\) −33.4012 13.4606i −1.21319 0.488913i
\(759\) 1.07207i 0.0389136i
\(760\) −31.2879 + 22.8031i −1.13493 + 0.827156i
\(761\) 9.64916i 0.349782i −0.984588 0.174891i \(-0.944043\pi\)
0.984588 0.174891i \(-0.0559572\pi\)
\(762\) −13.3773 + 33.1943i −0.484607 + 1.20250i
\(763\) 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
\(767\) −5.57209 + 18.9410i −0.201196 + 0.683918i
\(768\) −12.2865 + 14.3375i −0.443352 + 0.517362i
\(769\) −13.2266 −0.476963 −0.238481 0.971147i \(-0.576650\pi\)
−0.238481 + 0.971147i \(0.576650\pi\)
\(770\) 0.603174 0.422094i 0.0217369 0.0152112i
\(771\) 26.7519i 0.963445i
\(772\) 2.53663 0.0487625i 0.0912952 0.00175500i
\(773\) −0.434455 + 0.434455i −0.0156263 + 0.0156263i −0.714877 0.699250i \(-0.753517\pi\)
0.699250 + 0.714877i \(0.253517\pi\)
\(774\) −4.48316 + 1.90767i −0.161144 + 0.0685696i
\(775\) 14.2700