Properties

Label 260.2.p.d.103.20
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 103.20
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.20

$q$-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} +(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} +(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} +(5.07506 + 0.493718i) 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} +(3.33036 - 6.39599i) 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} +(7.09689 - 3.82547i) 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} +(4.64697 - 3.82298i) 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 −0.440033 0.897981i \(-0.645033\pi\)
0.897981 + 0.440033i \(0.145033\pi\)
\(8\) −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 \(-0.506520\pi\)
−0.0204826 + 0.999790i \(0.506520\pi\)
\(12\) −2.35980 + 0.0453632i −0.681214 + 0.0130952i
\(13\) 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 \(0.310947\pi\)
\(18\) 2.10834 + 0.849657i 0.496940 + 0.200266i
\(19\) 6.12150i 1.40437i −0.711995 0.702185i \(-0.752208\pi\)
0.711995 0.702185i \(-0.247792\pi\)
\(20\) −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
\(26\) 5.07506 + 0.493718i 0.995301 + 0.0968261i
\(27\) 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 \(-0.409578\pi\)
0.280263 + 0.959923i \(0.409578\pi\)
\(32\) 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 \(0.0170344\pi\)
0.0534895 + 0.998568i \(0.482966\pi\)
\(38\) −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 \(0.0733522\pi\)
−0.973565 + 0.228409i \(0.926648\pi\)
\(42\) −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 \(0.567377\pi\)
−0.977681 + 0.210093i \(0.932623\pi\)
\(48\) 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
\(52\) 3.33036 6.39599i 0.461838 0.886964i
\(53\) −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 \(-0.883987\pi\)
0.934315 0.356449i \(-0.116013\pi\)
\(60\) 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
\(65\) 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 −0.992261 0.124172i \(-0.960373\pi\)
0.124172 + 0.992261i \(0.460373\pi\)
\(68\) 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 \(-0.414146\pi\)
0.266461 + 0.963846i \(0.414146\pi\)
\(72\) −1.86011 4.14825i −0.219217 0.488876i
\(73\) −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
\(78\) 4.64697 3.82298i 0.526165 0.432868i
\(79\) 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 0.913393 0.407079i \(-0.133453\pi\)
−0.407079 + 0.913393i \(0.633453\pi\)
\(84\) −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 \(-0.554726\pi\)
−0.171082 + 0.985257i \(0.554726\pi\)
\(90\) 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 0.579607 0.814896i \(-0.303206\pi\)
−0.814896 + 0.579607i \(0.803206\pi\)
\(98\) 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 \(0.421517\pi\)
\(104\) −6.62916 7.74946i −0.650043 0.759897i
\(105\) −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 \(-0.476040\pi\)
0.0752004 + 0.997168i \(0.476040\pi\)
\(110\) 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
\(117\) −5.55971 + 1.63557i −0.513996 + 0.151208i
\(118\) −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
\(130\) −1.26636 11.3312i −0.111067 0.993813i
\(131\) 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 \(-0.984201\pi\)
−0.0496147 0.998768i \(-0.515799\pi\)
\(138\) −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
\(143\) −0.138254 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
\(148\) −0.347884 18.0969i −0.0285959 1.48756i
\(149\) −2.39818 −0.196467 −0.0982333 0.995163i \(-0.531319\pi\)
−0.0982333 + 0.995163i \(0.531319\pi\)
\(150\) 6.09468 + 5.69987i 0.497628 + 0.465393i
\(151\) −5.63264 −0.458378 −0.229189 0.973382i \(-0.573607\pi\)
−0.229189 + 0.973382i \(0.573607\pi\)
\(152\) 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
\(156\) −2.55817 8.11633i −0.204817 0.649826i
\(157\) −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 0.912032 0.410120i \(-0.134513\pi\)
−0.410120 + 0.912032i \(0.634513\pi\)
\(164\) 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 −0.898704 0.438556i \(-0.855490\pi\)
0.438556 + 0.898704i \(0.355490\pi\)
\(168\) 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 \(0.553301\pi\)
\(182\) 6.74722 5.55083i 0.500138 0.411455i
\(183\) 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 −0.674086 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 \(0.644024\pi\)
\(198\) −0.286452 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
\(208\) −13.6693 + 4.59902i −0.947794 + 0.318885i
\(209\) 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 0.542171 0.840268i \(-0.317603\pi\)
−0.840268 + 0.542171i \(0.817603\pi\)
\(224\) 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 −0.936348 0.351075i \(-0.885816\pi\)
0.351075 + 0.936348i \(0.385816\pi\)
\(228\) 0.277691 + 14.4455i 0.0183905 + 0.956676i
\(229\) 29.3112 1.93694 0.968470 0.249129i \(-0.0801442\pi\)
0.968470 + 0.249129i \(0.0801442\pi\)
\(230\) −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 \(0.441056\pi\)
\(234\) −0.793566 + 8.15728i −0.0518771 + 0.533258i
\(235\) 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 \(-0.835657\pi\)
0.869653 0.493664i \(-0.164343\pi\)
\(240\) 5.41491 9.06050i 0.349531 0.584853i
\(241\) 12.6676i 0.815990i −0.912984 0.407995i \(-0.866228\pi\)
0.912984 0.407995i \(-0.133772\pi\)
\(242\) −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
\(247\) 21.1742 6.22906i 1.34728 0.396345i
\(248\) −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
\(260\) −15.5326 4.32876i −0.963291 0.268458i
\(261\) 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 \(-0.824793\pi\)
−0.852301 + 0.523052i \(0.824793\pi\)
\(272\) −4.60591 4.26474i −0.279274 0.258588i
\(273\) 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 \(0.0684697\pi\)
\(278\) −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 \(0.173913\pi\)
−0.854420 + 0.519583i \(0.826087\pi\)
\(282\) 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
\(286\) −0.689531 0.0670797i −0.0407728 0.00396651i
\(287\) 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 −0.751298 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
\(298\) −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 −0.270768 0.962645i \(-0.587277\pi\)
0.962645 + 0.270768i \(0.0872775\pi\)
\(308\) 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 \(-0.180040\pi\)
\(312\) −11.9985 0.934853i −0.679281 0.0529256i
\(313\) 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 \(0.616357\pi\)
\(318\) −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
\(325\) −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
\(328\) −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 \(-0.351962\pi\)
0.448490 + 0.893788i \(0.351962\pi\)
\(332\) −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 \(0.0609779\pi\)
\(338\) 3.45647 + 18.0569i 0.188007 + 0.982168i
\(339\) 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 \(-0.673008\pi\)
−0.517152 + 0.855894i \(0.673008\pi\)
\(350\) 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 −0.657866 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
\(358\) 6.75912 16.7721i 0.357230 0.886431i
\(359\) 7.57948i 0.400029i −0.979793 0.200015i \(-0.935901\pi\)
0.979793 0.200015i \(-0.0640990\pi\)
\(360\) −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
\(364\) −3.71436 11.7846i −0.194686 0.617681i
\(365\) 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
\(377\) 15.2062 4.47339i 0.783159 0.230391i
\(378\) 4.92485 12.2205i 0.253307 0.628555i
\(379\) 25.4640i 1.30800i −0.756495 0.653999i \(-0.773090\pi\)
0.756495 0.653999i \(-0.226910\pi\)
\(380\) 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 \(-0.922351\pi\)
−0.241528 0.970394i \(-0.577649\pi\)
\(384\) −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 \(-0.240312\pi\)
\(390\) −10.5123 8.39879i −0.532309 0.425289i
\(391\) 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 0.903960 0.427617i \(-0.140647\pi\)
−0.427617 + 0.903960i \(0.640647\pi\)
\(398\) −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 \(-0.863815\pi\)
0.909864 0.414906i \(-0.136185\pi\)
\(402\) 15.5553 + 6.26874i 0.775825 + 0.312656i
\(403\) 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
\(408\) −2.14319 4.77955i −0.106104 0.236623i
\(409\) −9.84810 −0.486957 −0.243479 0.969906i \(-0.578289\pi\)
−0.243479 + 0.969906i \(0.578289\pi\)
\(410\) 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
\(416\) −1.19322 + 20.3611i −0.0585026 + 0.998287i
\(417\) −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 \(-0.744692\pi\)
0.695218 0.718799i \(-0.255308\pi\)
\(422\) 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 \(-0.341859\pi\)
0.476627 + 0.879106i \(0.341859\pi\)
\(432\) −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
\(442\) −6.17940 + 5.08369i −0.293924 + 0.241807i
\(443\) −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 \(-0.434793\pi\)
0.203424 + 0.979091i \(0.434793\pi\)
\(450\) −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
\(455\) 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 \(0.574347\pi\)
\(458\) 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 \(0.259086\pi\)
−0.686638 + 0.726999i \(0.740914\pi\)
\(462\) 0.360373 + 0.145230i 0.0167661 + 0.00675671i
\(463\) 17.2870 + 17.2870i 0.803396 + 0.803396i 0.983625 0.180229i \(-0.0576839\pi\)
−0.180229 + 0.983625i \(0.557684\pi\)
\(464\) 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 \(0.785995\pi\)
\(468\) 10.2804 + 5.35298i 0.475214 + 0.247442i
\(469\) 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 \(0.248474\pi\)
−0.710488 + 0.703710i \(0.751526\pi\)
\(480\) −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 −0.0253815 0.999678i \(-0.508080\pi\)
0.999678 + 0.0253815i \(0.00808004\pi\)
\(488\) −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
\(494\) 3.02230 31.0670i 0.135980 1.39777i
\(495\) −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 \(0.242326\pi\)
−0.723948 + 0.689855i \(0.757674\pi\)
\(500\) 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
\(507\) −3.24574 + 14.9942i −0.144148 + 0.665917i
\(508\) −0.824294 42.8799i −0.0365722 1.90249i
\(509\) −38.9696 −1.72730 −0.863649 0.504093i \(-0.831827\pi\)
−0.863649 + 0.504093i \(0.831827\pi\)
\(510\) 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
\(520\) −13.8888 + 18.0859i −0.609064 + 0.793121i
\(521\) 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
\(533\) −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
\(538\) −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 \(-0.758943\pi\)
0.726692 0.686963i \(-0.241057\pi\)
\(542\) −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
\(546\) 0.998352 10.2623i 0.0427255 0.439187i
\(547\) −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 0.999219 0.0395221i \(-0.0125835\pi\)
−0.0395221 + 0.999219i \(0.512584\pi\)
\(558\) 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 \(0.866585\pi\)
\(572\) −0.452485 + 0.869000i −0.0189193 + 0.0363347i
\(573\) −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 \(0.630567\pi\)
\(578\) 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
\(585\) 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 −0.709721 0.704482i \(-0.751179\pi\)
0.704482 + 0.709721i \(0.251179\pi\)
\(588\) −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 −0.659865 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
\(598\) 26.3288 21.6602i 1.07666 0.885753i
\(599\) 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 \(-0.487943\pi\)
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 \(0.714122\pi\)
\(618\) 16.1229 + 6.49749i 0.648557 + 0.261367i
\(619\) 8.51161i 0.342111i 0.985261 + 0.171055i \(0.0547177\pi\)
−0.985261 + 0.171055i \(0.945282\pi\)
\(620\) −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
\(624\) −7.56883 + 15.2443i −0.302996 + 0.610260i
\(625\) 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 \(-0.455235\pi\)
0.140171 + 0.990127i \(0.455235\pi\)
\(632\) −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
\(637\) −14.0572 + 4.13537i −0.556967 + 0.163849i
\(638\) 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 0.159838 0.987143i \(-0.448903\pi\)
−0.987143 + 0.159838i \(0.948903\pi\)
\(644\) −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
\(650\) −24.2043 + 8.00953i −0.949370 + 0.314160i
\(651\) 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 \(-0.668824\pi\)
0.505857 0.862617i \(-0.331176\pi\)
\(662\) 8.62653 21.4059i 0.335279 0.831962i
\(663\) −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
\(668\) 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
\(676\) 25.5125 + 5.01130i 0.981249 + 0.192742i
\(677\) −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 0.234730 0.972061i \(-0.424580\pi\)
−0.972061 + 0.234730i \(0.924580\pi\)
\(684\) −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 \(-0.381153\pi\)
0.364756 + 0.931103i \(0.381153\pi\)
\(692\) −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 \(0.490090\pi\)
\(702\) 17.6137 + 21.4101i 0.664788 + 0.808072i
\(703\) 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 \(-0.377871\pi\)
0.374336 + 0.927293i \(0.377871\pi\)
\(710\) −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
\(715\) −0.964229 + 0.519752i −0.0360601 + 0.0194376i
\(716\) −18.4270 17.7319i −0.688650 0.662673i
\(717\) −12.7371 12.7371i −0.475675 0.475675i
\(718\) −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 \(0.605754\pi\)
\(728\) −17.4214 1.35737i −0.645679 0.0503075i
\(729\) 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 −0.994570 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
\(738\) −2.48529 + 6.16701i −0.0914849 + 0.227011i
\(739\) 38.8417i 1.42881i −0.699731 0.714407i \(-0.746697\pi\)
0.699731 0.714407i \(-0.253303\pi\)
\(740\) −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 0.679726 0.733467i \(-0.262099\pi\)
−0.733467 + 0.679726i \(0.762099\pi\)
\(744\) −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
\(754\) 2.17046 22.3107i 0.0790435 0.812509i
\(755\) 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 \(0.0559572\pi\)
−0.984588 + 0.174891i \(0.944043\pi\)
\(762\) 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
\(767\) 18.9410 5.57209i 0.683918 0.201196i
\(768\) −12.2865 + 14.3375i −0.443352 + 0.517362i
\(769\) 13.2266 0.476963 0.238481 0.971147i \(-0.423350\pi\)
0.238481 + 0.971147i \(0.423350\pi\)
\(770\) 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 −0.699250 0.714877i \(-0.746483\pi\)
0.714877 + 0.699250i \(0.246483\pi\)
\(774\) 4.48316 1.90767i 0.161144 0.0685696i
\(775\)