Properties

Label 12.20.b.a.11.2
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 20 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(27.4580035868\)
Analytic rank: \(0\)
Dimension: \(36\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-723.867 + 17.4378i) q^{2} +(2865.95 + 33971.3i) q^{3} +(523680. - 25245.3i) q^{4} +5.49376e6i q^{5} +(-2.66695e6 - 2.45407e7i) q^{6} -1.05257e8i q^{7} +(-3.78635e8 + 2.74060e7i) q^{8} +(-1.14583e9 + 1.94720e8i) q^{9} +O(q^{10})\) \(q+(-723.867 + 17.4378i) q^{2} +(2865.95 + 33971.3i) q^{3} +(523680. - 25245.3i) q^{4} +5.49376e6i q^{5} +(-2.66695e6 - 2.45407e7i) q^{6} -1.05257e8i q^{7} +(-3.78635e8 + 2.74060e7i) q^{8} +(-1.14583e9 + 1.94720e8i) q^{9} +(-9.57989e7 - 3.97675e9i) q^{10} +7.09412e9 q^{11} +(2.35845e9 + 1.77177e10i) q^{12} -6.63179e10 q^{13} +(1.83545e9 + 7.61923e10i) q^{14} +(-1.86630e11 + 1.57448e10i) q^{15} +(2.73603e11 - 2.64409e10i) q^{16} +6.50375e11i q^{17} +(8.26036e11 - 1.60932e11i) q^{18} -8.23681e11i q^{19} +(1.38691e11 + 2.87697e12i) q^{20} +(3.57572e12 - 3.01662e11i) q^{21} +(-5.13520e12 + 1.23706e11i) q^{22} -1.08842e13 q^{23} +(-2.01617e12 - 1.27842e13i) q^{24} -1.11079e13 q^{25} +(4.80054e13 - 1.15644e12i) q^{26} +(-9.89878e12 - 3.83674e13i) q^{27} +(-2.65725e12 - 5.51211e13i) q^{28} -9.35164e13i q^{29} +(1.34821e14 - 1.46516e13i) q^{30} -1.40022e14i q^{31} +(-1.97591e14 + 2.39107e13i) q^{32} +(2.03314e13 + 2.40996e14i) q^{33} +(-1.13411e13 - 4.70785e14i) q^{34} +5.78258e14 q^{35} +(-5.95134e14 + 1.30898e14i) q^{36} +2.24836e14 q^{37} +(1.43632e13 + 5.96236e14i) q^{38} +(-1.90064e14 - 2.25290e15i) q^{39} +(-1.50562e14 - 2.08013e15i) q^{40} +3.53533e14i q^{41} +(-2.58309e15 + 2.80716e14i) q^{42} +1.91080e15i q^{43} +(3.71505e15 - 1.79093e14i) q^{44} +(-1.06974e15 - 6.29494e15i) q^{45} +(7.87870e15 - 1.89796e14i) q^{46} +1.54874e15 q^{47} +(1.68236e15 + 9.21887e15i) q^{48} +3.19812e14 q^{49} +(8.04064e15 - 1.93697e14i) q^{50} +(-2.20941e16 + 1.86394e15i) q^{51} +(-3.47294e16 + 1.67421e15i) q^{52} -2.30947e16i q^{53} +(7.83445e15 + 2.76003e16i) q^{54} +3.89734e16i q^{55} +(2.88468e15 + 3.98540e16i) q^{56} +(2.79815e16 - 2.36063e15i) q^{57} +(1.63072e15 + 6.76934e16i) q^{58} +7.28318e16 q^{59} +(-9.73369e16 + 1.29568e16i) q^{60} -3.87008e16 q^{61} +(2.44167e15 + 1.01357e17i) q^{62} +(2.04957e16 + 1.20607e17i) q^{63} +(1.42613e17 - 2.07537e16i) q^{64} -3.64335e17i q^{65} +(-1.89197e16 - 1.74095e17i) q^{66} -3.26594e17i q^{67} +(1.64189e16 + 3.40588e17i) q^{68} +(-3.11935e16 - 3.69749e17i) q^{69} +(-4.18582e17 + 1.00835e16i) q^{70} -1.37293e17 q^{71} +(4.28516e17 - 1.05130e17i) q^{72} +2.84381e17 q^{73} +(-1.62751e17 + 3.92063e15i) q^{74} +(-3.18346e16 - 3.77349e17i) q^{75} +(-2.07941e16 - 4.31345e17i) q^{76} -7.46708e17i q^{77} +(1.76867e17 + 1.62749e18i) q^{78} -3.04622e17i q^{79} +(1.45260e17 + 1.50311e18i) q^{80} +(1.27502e18 - 4.46233e17i) q^{81} +(-6.16484e15 - 2.55911e17i) q^{82} -1.54227e18 q^{83} +(1.86492e18 - 2.48244e17i) q^{84} -3.57300e18 q^{85} +(-3.33201e16 - 1.38317e18i) q^{86} +(3.17687e18 - 2.68013e17i) q^{87} +(-2.68608e18 + 1.94422e17i) q^{88} -1.94738e18i q^{89} +(8.84122e17 + 4.53804e18i) q^{90} +6.98044e18i q^{91} +(-5.69982e18 + 2.74774e17i) q^{92} +(4.75672e18 - 4.01295e17i) q^{93} +(-1.12108e18 + 2.70066e16i) q^{94} +4.52511e18 q^{95} +(-1.37856e18 - 6.64391e18i) q^{96} +3.32711e17 q^{97} +(-2.31502e17 + 5.57681e15i) q^{98} +(-8.12869e18 + 1.38137e18i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} + O(q^{10}) \) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} - 4162950000q^{10} - 2268767880q^{12} - 25913431656q^{13} + 791689296672q^{16} + 2852271258192q^{18} - 1650825908424q^{21} + 7247870602416q^{22} + 23719435803936q^{24} - 118879690462380q^{25} - 7629081673968q^{28} + 37456727138640q^{30} + 529254701828640q^{33} - 248241675948480q^{34} - 1177548745309416q^{36} + 1847838600168120q^{37} - 40433256181440q^{40} - 2709671988768336q^{42} - 4365410114088000q^{45} + 17206125364795104q^{46} + 1561106052682272q^{48} - 49399737041580084q^{49} + 16558671470242896q^{52} + 40087412948587896q^{54} + 44803667812766472q^{57} - 34645536255764880q^{58} + 50260381053157440q^{60} + 174742350239997144q^{61} - 139766490424918656q^{64} - 87772097712685968q^{66} - 957190369821780672q^{69} + 244663962371376480q^{70} + 54134736422921280q^{72} - 1445122541399481432q^{73} + 2744130151937256048q^{76} + 1125465917961999024q^{78} + 1033298241353042436q^{81} + 1064985418859680800q^{82} + 1920709484261873424q^{84} - 1802899595088057600q^{85} - 9209792381828477760q^{88} - 5194944179528261040q^{90} + 6719944190337314136q^{93} - 3835186345170303552q^{94} - 11947184361208227456q^{96} + 12765226159947004488q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −723.867 + 17.4378i −0.999710 + 0.0240828i
\(3\) 2865.95 + 33971.3i 0.0840652 + 0.996460i
\(4\) 523680. 25245.3i 0.998840 0.0481515i
\(5\) 5.49376e6i 1.25792i 0.777436 + 0.628962i \(0.216520\pi\)
−0.777436 + 0.628962i \(0.783480\pi\)
\(6\) −2.66695e6 2.45407e7i −0.108038 0.994147i
\(7\) 1.05257e8i 0.985872i −0.870066 0.492936i \(-0.835924\pi\)
0.870066 0.492936i \(-0.164076\pi\)
\(8\) −3.78635e8 + 2.74060e7i −0.997391 + 0.0721924i
\(9\) −1.14583e9 + 1.94720e8i −0.985866 + 0.167535i
\(10\) −9.57989e7 3.97675e9i −0.0302943 1.25756i
\(11\) 7.09412e9 0.907127 0.453564 0.891224i \(-0.350152\pi\)
0.453564 + 0.891224i \(0.350152\pi\)
\(12\) 2.35845e9 + 1.77177e10i 0.131949 + 0.991257i
\(13\) −6.63179e10 −1.73448 −0.867240 0.497891i \(-0.834108\pi\)
−0.867240 + 0.497891i \(0.834108\pi\)
\(14\) 1.83545e9 + 7.61923e10i 0.0237425 + 0.985586i
\(15\) −1.86630e11 + 1.57448e10i −1.25347 + 0.105748i
\(16\) 2.73603e11 2.64409e10i 0.995363 0.0961914i
\(17\) 6.50375e11i 1.33015i 0.746779 + 0.665073i \(0.231599\pi\)
−0.746779 + 0.665073i \(0.768401\pi\)
\(18\) 8.26036e11 1.60932e11i 0.981545 0.191229i
\(19\) 8.23681e11i 0.585598i −0.956174 0.292799i \(-0.905413\pi\)
0.956174 0.292799i \(-0.0945868\pi\)
\(20\) 1.38691e11 + 2.87697e12i 0.0605710 + 1.25647i
\(21\) 3.57572e12 3.01662e11i 0.982382 0.0828776i
\(22\) −5.13520e12 + 1.23706e11i −0.906864 + 0.0218461i
\(23\) −1.08842e13 −1.26003 −0.630015 0.776583i \(-0.716951\pi\)
−0.630015 + 0.776583i \(0.716951\pi\)
\(24\) −2.01617e12 1.27842e13i −0.155783 0.987791i
\(25\) −1.11079e13 −0.582373
\(26\) 4.80054e13 1.15644e12i 1.73398 0.0417710i
\(27\) −9.89878e12 3.83674e13i −0.249819 0.968292i
\(28\) −2.65725e12 5.51211e13i −0.0474713 0.984728i
\(29\) 9.35164e13i 1.19703i −0.801110 0.598517i \(-0.795757\pi\)
0.801110 0.598517i \(-0.204243\pi\)
\(30\) 1.34821e14 1.46516e13i 1.25056 0.135904i
\(31\) 1.40022e14i 0.951173i −0.879669 0.475587i \(-0.842236\pi\)
0.879669 0.475587i \(-0.157764\pi\)
\(32\) −1.97591e14 + 2.39107e13i −0.992758 + 0.120135i
\(33\) 2.03314e13 + 2.40996e14i 0.0762579 + 0.903916i
\(34\) −1.13411e13 4.70785e14i −0.0320336 1.32976i
\(35\) 5.78258e14 1.24015
\(36\) −5.95134e14 + 1.30898e14i −0.976655 + 0.214812i
\(37\) 2.24836e14 0.284413 0.142206 0.989837i \(-0.454580\pi\)
0.142206 + 0.989837i \(0.454580\pi\)
\(38\) 1.43632e13 + 5.96236e14i 0.0141028 + 0.585429i
\(39\) −1.90064e14 2.25290e15i −0.145809 1.72834i
\(40\) −1.50562e14 2.08013e15i −0.0908126 1.25464i
\(41\) 3.53533e14i 0.168649i 0.996438 + 0.0843245i \(0.0268732\pi\)
−0.996438 + 0.0843245i \(0.973127\pi\)
\(42\) −2.58309e15 + 2.80716e14i −0.980101 + 0.106512i
\(43\) 1.91080e15i 0.579783i 0.957060 + 0.289891i \(0.0936192\pi\)
−0.957060 + 0.289891i \(0.906381\pi\)
\(44\) 3.71505e15 1.79093e14i 0.906075 0.0436796i
\(45\) −1.06974e15 6.29494e15i −0.210747 1.24014i
\(46\) 7.87870e15 1.89796e14i 1.25966 0.0303450i
\(47\) 1.54874e15 0.201860 0.100930 0.994894i \(-0.467818\pi\)
0.100930 + 0.994894i \(0.467818\pi\)
\(48\) 1.68236e15 + 9.21887e15i 0.179526 + 0.983753i
\(49\) 3.19812e14 0.0280564
\(50\) 8.04064e15 1.93697e14i 0.582205 0.0140252i
\(51\) −2.20941e16 + 1.86394e15i −1.32544 + 0.111819i
\(52\) −3.47294e16 + 1.67421e15i −1.73247 + 0.0835179i
\(53\) 2.30947e16i 0.961374i −0.876892 0.480687i \(-0.840387\pi\)
0.876892 0.480687i \(-0.159613\pi\)
\(54\) 7.83445e15 + 2.76003e16i 0.273066 + 0.961995i
\(55\) 3.89734e16i 1.14110i
\(56\) 2.88468e15 + 3.98540e16i 0.0711725 + 0.983300i
\(57\) 2.79815e16 2.36063e15i 0.583526 0.0492285i
\(58\) 1.63072e15 + 6.76934e16i 0.0288279 + 1.19669i
\(59\) 7.28318e16 1.09453 0.547264 0.836960i \(-0.315669\pi\)
0.547264 + 0.836960i \(0.315669\pi\)
\(60\) −9.73369e16 + 1.29568e16i −1.24693 + 0.165982i
\(61\) −3.87008e16 −0.423727 −0.211864 0.977299i \(-0.567953\pi\)
−0.211864 + 0.977299i \(0.567953\pi\)
\(62\) 2.44167e15 + 1.01357e17i 0.0229069 + 0.950898i
\(63\) 2.04957e16 + 1.20607e17i 0.165168 + 0.971938i
\(64\) 1.42613e17 2.07537e16i 0.989577 0.144008i
\(65\) 3.64335e17i 2.18184i
\(66\) −1.89197e16 1.74095e17i −0.0980046 0.901818i
\(67\) 3.26594e17i 1.46655i −0.679931 0.733276i \(-0.737990\pi\)
0.679931 0.733276i \(-0.262010\pi\)
\(68\) 1.64189e16 + 3.40588e17i 0.0640486 + 1.32860i
\(69\) −3.11935e16 3.69749e17i −0.105925 1.25557i
\(70\) −4.18582e17 + 1.00835e16i −1.23979 + 0.0298663i
\(71\) −1.37293e17 −0.355381 −0.177691 0.984086i \(-0.556863\pi\)
−0.177691 + 0.984086i \(0.556863\pi\)
\(72\) 4.28516e17 1.05130e17i 0.971199 0.238270i
\(73\) 2.84381e17 0.565371 0.282685 0.959213i \(-0.408775\pi\)
0.282685 + 0.959213i \(0.408775\pi\)
\(74\) −1.62751e17 + 3.92063e15i −0.284330 + 0.00684944i
\(75\) −3.18346e16 3.77349e17i −0.0489574 0.580312i
\(76\) −2.07941e16 4.31345e17i −0.0281975 0.584919i
\(77\) 7.46708e17i 0.894311i
\(78\) 1.76867e17 + 1.62749e18i 0.187390 + 1.72433i
\(79\) 3.04622e17i 0.285959i −0.989726 0.142980i \(-0.954332\pi\)
0.989726 0.142980i \(-0.0456683\pi\)
\(80\) 1.45260e17 + 1.50311e18i 0.121001 + 1.25209i
\(81\) 1.27502e18 4.46233e17i 0.943864 0.330335i
\(82\) −6.16484e15 2.55911e17i −0.00406153 0.168600i
\(83\) −1.54227e18 −0.905561 −0.452781 0.891622i \(-0.649568\pi\)
−0.452781 + 0.891622i \(0.649568\pi\)
\(84\) 1.86492e18 2.48244e17i 0.977252 0.130085i
\(85\) −3.57300e18 −1.67322
\(86\) −3.33201e16 1.38317e18i −0.0139628 0.579615i
\(87\) 3.17687e18 2.68013e17i 1.19280 0.100629i
\(88\) −2.68608e18 + 1.94422e17i −0.904760 + 0.0654877i
\(89\) 1.94738e18i 0.589175i −0.955624 0.294588i \(-0.904818\pi\)
0.955624 0.294588i \(-0.0951823\pi\)
\(90\) 8.84122e17 + 4.53804e18i 0.240552 + 1.23471i
\(91\) 6.98044e18i 1.70997i
\(92\) −5.69982e18 + 2.74774e17i −1.25857 + 0.0606724i
\(93\) 4.75672e18 4.01295e17i 0.947807 0.0799606i
\(94\) −1.12108e18 + 2.70066e16i −0.201801 + 0.00486133i
\(95\) 4.52511e18 0.736638
\(96\) −1.37856e18 6.64391e18i −0.203166 0.979144i
\(97\) 3.32711e17 0.0444360 0.0222180 0.999753i \(-0.492927\pi\)
0.0222180 + 0.999753i \(0.492927\pi\)
\(98\) −2.31502e17 + 5.57681e15i −0.0280483 + 0.000675676i
\(99\) −8.12869e18 + 1.38137e18i −0.894306 + 0.151976i
\(100\) −5.81698e18 + 2.80422e17i −0.581698 + 0.0280422i
\(101\) 1.42998e19i 1.30100i 0.759506 + 0.650500i \(0.225441\pi\)
−0.759506 + 0.650500i \(0.774559\pi\)
\(102\) 1.59607e19 1.73452e18i 1.32236 0.143707i
\(103\) 8.86762e18i 0.669659i −0.942279 0.334829i \(-0.891321\pi\)
0.942279 0.334829i \(-0.108679\pi\)
\(104\) 2.51103e19 1.81751e18i 1.72995 0.125216i
\(105\) 1.65726e18 + 1.96442e19i 0.104254 + 1.23576i
\(106\) 4.02721e17 + 1.67175e19i 0.0231525 + 0.961095i
\(107\) −1.45474e19 −0.764964 −0.382482 0.923963i \(-0.624931\pi\)
−0.382482 + 0.923963i \(0.624931\pi\)
\(108\) −6.15239e18 1.98423e19i −0.296154 0.955140i
\(109\) −3.71134e19 −1.63674 −0.818370 0.574692i \(-0.805122\pi\)
−0.818370 + 0.574692i \(0.805122\pi\)
\(110\) −6.79609e17 2.82116e19i −0.0274808 1.14077i
\(111\) 6.44367e17 + 7.63795e18i 0.0239092 + 0.283406i
\(112\) −2.78309e18 2.87987e19i −0.0948324 0.981300i
\(113\) 3.44993e19i 1.08035i 0.841552 + 0.540176i \(0.181642\pi\)
−0.841552 + 0.540176i \(0.818358\pi\)
\(114\) −2.02137e19 + 2.19672e18i −0.582171 + 0.0632671i
\(115\) 5.97950e19i 1.58502i
\(116\) −2.36085e18 4.89726e19i −0.0576391 1.19565i
\(117\) 7.59893e19 1.29134e19i 1.70996 0.290587i
\(118\) −5.27205e19 + 1.27002e18i −1.09421 + 0.0263592i
\(119\) 6.84567e19 1.31135
\(120\) 7.02331e19 1.10763e19i 1.24257 0.195963i
\(121\) −1.08325e19 −0.177120
\(122\) 2.80142e19 6.74856e17i 0.423604 0.0102045i
\(123\) −1.20100e19 + 1.01321e18i −0.168052 + 0.0141775i
\(124\) −3.53489e18 7.33266e19i −0.0458005 0.950070i
\(125\) 4.37611e19i 0.525343i
\(126\) −1.69393e19 8.69463e19i −0.188527 0.967678i
\(127\) 1.13482e20i 1.17163i 0.810445 + 0.585815i \(0.199226\pi\)
−0.810445 + 0.585815i \(0.800774\pi\)
\(128\) −1.02871e20 + 1.75098e19i −0.985821 + 0.167798i
\(129\) −6.49124e19 + 5.47626e18i −0.577730 + 0.0487396i
\(130\) 6.35319e18 + 2.63730e20i 0.0525448 + 2.18121i
\(131\) −1.43356e20 −1.10240 −0.551199 0.834374i \(-0.685830\pi\)
−0.551199 + 0.834374i \(0.685830\pi\)
\(132\) 1.67312e19 + 1.25692e20i 0.119694 + 0.899196i
\(133\) −8.66984e19 −0.577325
\(134\) 5.69507e18 + 2.36411e20i 0.0353186 + 1.46613i
\(135\) 2.10781e20 5.43815e19i 1.21804 0.314254i
\(136\) −1.78242e19 2.46254e20i −0.0960264 1.32667i
\(137\) 2.56625e20i 1.28960i −0.764353 0.644799i \(-0.776941\pi\)
0.764353 0.644799i \(-0.223059\pi\)
\(138\) 2.90275e19 + 2.67106e20i 0.136132 + 1.25266i
\(139\) 2.13819e20i 0.936278i 0.883655 + 0.468139i \(0.155075\pi\)
−0.883655 + 0.468139i \(0.844925\pi\)
\(140\) 3.02822e20 1.45983e19i 1.23871 0.0597152i
\(141\) 4.43861e18 + 5.26127e19i 0.0169694 + 0.201145i
\(142\) 9.93820e19 2.39409e18i 0.355278 0.00855856i
\(143\) −4.70468e20 −1.57339
\(144\) −3.08355e20 + 8.35729e19i −0.965179 + 0.261590i
\(145\) 5.13756e20 1.50578
\(146\) −2.05854e20 + 4.95897e18i −0.565207 + 0.0136157i
\(147\) 9.16565e17 + 1.08644e19i 0.00235857 + 0.0279571i
\(148\) 1.17742e20 5.67604e18i 0.284083 0.0136949i
\(149\) 7.51323e20i 1.70042i −0.526440 0.850212i \(-0.676474\pi\)
0.526440 0.850212i \(-0.323526\pi\)
\(150\) 2.96242e19 + 2.72596e20i 0.0629187 + 0.578965i
\(151\) 3.32254e20i 0.662504i −0.943542 0.331252i \(-0.892529\pi\)
0.943542 0.331252i \(-0.107471\pi\)
\(152\) 2.25738e19 + 3.11874e20i 0.0422758 + 0.584070i
\(153\) −1.26641e20 7.45222e20i −0.222846 1.31135i
\(154\) 1.30209e19 + 5.40517e20i 0.0215375 + 0.894052i
\(155\) 7.69246e20 1.19650
\(156\) −1.56408e20 1.17500e21i −0.228863 1.71931i
\(157\) −5.79313e20 −0.797749 −0.398875 0.917005i \(-0.630599\pi\)
−0.398875 + 0.917005i \(0.630599\pi\)
\(158\) 5.31193e18 + 2.20506e20i 0.00688668 + 0.285876i
\(159\) 7.84558e20 6.61884e19i 0.957971 0.0808181i
\(160\) −1.31360e20 1.08552e21i −0.151120 1.24881i
\(161\) 1.14564e21i 1.24223i
\(162\) −9.15164e20 + 3.45247e20i −0.935635 + 0.352970i
\(163\) 1.23113e21i 1.18719i −0.804762 0.593597i \(-0.797707\pi\)
0.804762 0.593597i \(-0.202293\pi\)
\(164\) 8.92505e18 + 1.85138e20i 0.00812071 + 0.168453i
\(165\) −1.32398e21 + 1.11696e20i −1.13706 + 0.0959266i
\(166\) 1.11640e21 2.68937e19i 0.905299 0.0218084i
\(167\) −1.70826e21 −1.30842 −0.654212 0.756312i \(-0.726999\pi\)
−0.654212 + 0.756312i \(0.726999\pi\)
\(168\) −1.34562e21 + 2.12216e20i −0.973836 + 0.153582i
\(169\) 2.93615e21 2.00842
\(170\) 2.58638e21 6.23052e19i 1.67274 0.0402958i
\(171\) 1.60387e20 + 9.43802e20i 0.0981084 + 0.577322i
\(172\) 4.82387e19 + 1.00065e21i 0.0279174 + 0.579110i
\(173\) 3.79874e20i 0.208066i −0.994574 0.104033i \(-0.966825\pi\)
0.994574 0.104033i \(-0.0331748\pi\)
\(174\) −2.29496e21 + 2.49403e20i −1.19003 + 0.129326i
\(175\) 1.16919e21i 0.574146i
\(176\) 1.94098e21 1.87575e20i 0.902921 0.0872578i
\(177\) 2.08732e20 + 2.47419e21i 0.0920117 + 1.09065i
\(178\) 3.39579e19 + 1.40964e21i 0.0141890 + 0.589005i
\(179\) −5.62431e20 −0.222826 −0.111413 0.993774i \(-0.535538\pi\)
−0.111413 + 0.993774i \(0.535538\pi\)
\(180\) −7.19121e20 3.26952e21i −0.270217 1.22856i
\(181\) −1.64249e21 −0.585539 −0.292769 0.956183i \(-0.594577\pi\)
−0.292769 + 0.956183i \(0.594577\pi\)
\(182\) −1.21723e20 5.05291e21i −0.0411809 1.70948i
\(183\) −1.10915e20 1.31472e21i −0.0356207 0.422228i
\(184\) 4.12112e21 2.98292e20i 1.25674 0.0909646i
\(185\) 1.23519e21i 0.357769i
\(186\) −3.43624e21 + 3.73431e20i −0.945606 + 0.102763i
\(187\) 4.61384e21i 1.20661i
\(188\) 8.11045e20 3.90984e19i 0.201625 0.00971985i
\(189\) −4.03845e21 + 1.04192e21i −0.954612 + 0.246290i
\(190\) −3.27558e21 + 7.89078e19i −0.736425 + 0.0177403i
\(191\) −5.73042e21 −1.22566 −0.612829 0.790216i \(-0.709969\pi\)
−0.612829 + 0.790216i \(0.709969\pi\)
\(192\) 1.11375e21 + 4.78527e21i 0.226687 + 0.973968i
\(193\) −4.68313e20 −0.0907282 −0.0453641 0.998971i \(-0.514445\pi\)
−0.0453641 + 0.998971i \(0.514445\pi\)
\(194\) −2.40838e20 + 5.80173e18i −0.0444231 + 0.00107014i
\(195\) 1.23769e22 1.04416e21i 2.17412 0.183417i
\(196\) 1.67479e20 8.07374e18i 0.0280239 0.00135096i
\(197\) 1.11167e22i 1.77234i 0.463359 + 0.886171i \(0.346644\pi\)
−0.463359 + 0.886171i \(0.653356\pi\)
\(198\) 5.86000e21 1.14167e21i 0.890387 0.173469i
\(199\) 7.45260e20i 0.107945i 0.998542 + 0.0539726i \(0.0171884\pi\)
−0.998542 + 0.0539726i \(0.982812\pi\)
\(200\) 4.20583e21 3.04423e20i 0.580854 0.0420429i
\(201\) 1.10948e22 9.36001e20i 1.46136 0.123286i
\(202\) −2.49357e20 1.03512e22i −0.0313317 1.30062i
\(203\) −9.84327e21 −1.18012
\(204\) −1.15232e22 + 1.53388e21i −1.31852 + 0.175511i
\(205\) −1.94223e21 −0.212148
\(206\) 1.54632e20 + 6.41898e21i 0.0161272 + 0.669464i
\(207\) 1.24715e22 2.11936e21i 1.24222 0.211100i
\(208\) −1.81448e22 + 1.75350e21i −1.72644 + 0.166842i
\(209\) 5.84330e21i 0.531212i
\(210\) −1.54218e21 1.41909e22i −0.133984 1.23289i
\(211\) 2.20994e22i 1.83525i −0.397442 0.917627i \(-0.630102\pi\)
0.397442 0.917627i \(-0.369898\pi\)
\(212\) −5.83033e20 1.20943e22i −0.0462916 0.960259i
\(213\) −3.93475e20 4.66402e21i −0.0298752 0.354123i
\(214\) 1.05304e22 2.53675e20i 0.764742 0.0184224i
\(215\) −1.04975e22 −0.729323
\(216\) 4.79952e21 + 1.42559e22i 0.319071 + 0.947731i
\(217\) −1.47383e22 −0.937735
\(218\) 2.68652e22 6.47176e20i 1.63626 0.0394172i
\(219\) 8.15021e20 + 9.66079e21i 0.0475280 + 0.563370i
\(220\) 9.83894e20 + 2.04096e22i 0.0549456 + 1.13977i
\(221\) 4.31315e22i 2.30711i
\(222\) −5.99625e20 5.51763e21i −0.0307275 0.282748i
\(223\) 8.60037e21i 0.422300i 0.977454 + 0.211150i \(0.0677208\pi\)
−0.977454 + 0.211150i \(0.932279\pi\)
\(224\) 2.51678e21 + 2.07979e22i 0.118437 + 0.978732i
\(225\) 1.27278e22 2.16293e21i 0.574142 0.0975681i
\(226\) −6.01592e20 2.49729e22i −0.0260179 1.08004i
\(227\) −3.63110e22 −1.50589 −0.752944 0.658084i \(-0.771367\pi\)
−0.752944 + 0.658084i \(0.771367\pi\)
\(228\) 1.45938e22 1.94261e21i 0.580478 0.0772690i
\(229\) 9.72721e20 0.0371151 0.0185576 0.999828i \(-0.494093\pi\)
0.0185576 + 0.999828i \(0.494093\pi\)
\(230\) 1.04269e21 + 4.32837e22i 0.0381717 + 1.58456i
\(231\) 2.53666e22 2.14003e21i 0.891146 0.0751805i
\(232\) 2.56291e21 + 3.54085e22i 0.0864168 + 1.19391i
\(233\) 8.01140e21i 0.259315i 0.991559 + 0.129657i \(0.0413877\pi\)
−0.991559 + 0.129657i \(0.958612\pi\)
\(234\) −5.47810e22 + 1.06727e22i −1.70247 + 0.331683i
\(235\) 8.50841e21i 0.253924i
\(236\) 3.81405e22 1.83866e21i 1.09326 0.0527032i
\(237\) 1.03484e22 8.73031e20i 0.284947 0.0240392i
\(238\) −4.95536e22 + 1.19373e21i −1.31097 + 0.0315810i
\(239\) 3.97416e22 1.01033 0.505167 0.863021i \(-0.331431\pi\)
0.505167 + 0.863021i \(0.331431\pi\)
\(240\) −5.06463e22 + 9.24250e21i −1.23749 + 0.225830i
\(241\) 1.06153e22 0.249327 0.124664 0.992199i \(-0.460215\pi\)
0.124664 + 0.992199i \(0.460215\pi\)
\(242\) 7.84129e21 1.88895e20i 0.177069 0.00426554i
\(243\) 1.88133e22 + 4.20352e22i 0.408512 + 0.912753i
\(244\) −2.02668e22 + 9.77012e20i −0.423236 + 0.0204031i
\(245\) 1.75697e21i 0.0352928i
\(246\) 8.67596e21 9.42856e20i 0.167662 0.0182206i
\(247\) 5.46248e22i 1.01571i
\(248\) 3.83744e21 + 5.30171e22i 0.0686675 + 0.948692i
\(249\) −4.42006e21 5.23928e22i −0.0761262 0.902356i
\(250\) −7.63095e20 3.16772e22i −0.0126517 0.525190i
\(251\) −3.89337e22 −0.621478 −0.310739 0.950495i \(-0.600576\pi\)
−0.310739 + 0.950495i \(0.600576\pi\)
\(252\) 1.37779e22 + 6.26422e22i 0.211777 + 0.962857i
\(253\) −7.72137e22 −1.14301
\(254\) −1.97887e21 8.21457e22i −0.0282161 1.17129i
\(255\) −1.02400e22 1.21379e23i −0.140660 1.66730i
\(256\) 7.41596e22 1.44686e22i 0.981494 0.191491i
\(257\) 2.70174e22i 0.344571i 0.985047 + 0.172286i \(0.0551152\pi\)
−0.985047 + 0.172286i \(0.944885\pi\)
\(258\) 4.68925e22 5.09601e21i 0.576389 0.0626388i
\(259\) 2.36656e22i 0.280394i
\(260\) −9.19773e21 1.90795e23i −0.105059 2.17931i
\(261\) 1.82095e22 + 1.07154e23i 0.200546 + 1.18012i
\(262\) 1.03771e23 2.49981e21i 1.10208 0.0265488i
\(263\) −6.60917e22 −0.676966 −0.338483 0.940972i \(-0.609914\pi\)
−0.338483 + 0.940972i \(0.609914\pi\)
\(264\) −1.43029e22 9.06924e22i −0.141315 0.896053i
\(265\) 1.26877e23 1.20934
\(266\) 6.27581e22 1.51183e21i 0.577158 0.0139036i
\(267\) 6.61548e22 5.58108e21i 0.587090 0.0495292i
\(268\) −8.24495e21 1.71031e23i −0.0706167 1.46485i
\(269\) 7.86477e22i 0.650188i 0.945682 + 0.325094i \(0.105396\pi\)
−0.945682 + 0.325094i \(0.894604\pi\)
\(270\) −1.51629e23 + 4.30406e22i −1.21012 + 0.343496i
\(271\) 1.20519e23i 0.928640i −0.885667 0.464320i \(-0.846299\pi\)
0.885667 0.464320i \(-0.153701\pi\)
\(272\) 1.71965e22 + 1.77945e23i 0.127949 + 1.32398i
\(273\) −2.37135e23 + 2.00056e22i −1.70392 + 0.143749i
\(274\) 4.47497e21 + 1.85763e23i 0.0310571 + 1.28922i
\(275\) −7.88008e22 −0.528287
\(276\) −2.56698e22 1.92843e23i −0.166260 1.24901i
\(277\) 1.96276e23 1.22832 0.614158 0.789183i \(-0.289496\pi\)
0.614158 + 0.789183i \(0.289496\pi\)
\(278\) −3.72852e21 1.54776e23i −0.0225481 0.936006i
\(279\) 2.72650e22 + 1.60442e23i 0.159355 + 0.937730i
\(280\) −2.18948e23 + 1.58478e22i −1.23692 + 0.0895296i
\(281\) 2.87625e23i 1.57079i 0.618997 + 0.785393i \(0.287539\pi\)
−0.618997 + 0.785393i \(0.712461\pi\)
\(282\) −4.13042e21 3.80072e22i −0.0218086 0.200678i
\(283\) 1.05764e23i 0.539966i −0.962865 0.269983i \(-0.912982\pi\)
0.962865 0.269983i \(-0.0870181\pi\)
\(284\) −7.18976e22 + 3.46600e21i −0.354969 + 0.0171121i
\(285\) 1.29687e22 + 1.53724e23i 0.0619257 + 0.734031i
\(286\) 3.40556e23 8.20391e21i 1.57294 0.0378917i
\(287\) 3.72119e22 0.166266
\(288\) 2.21751e23 6.58727e22i 0.958599 0.284759i
\(289\) −1.83915e23 −0.769287
\(290\) −3.71891e23 + 8.95877e21i −1.50534 + 0.0362633i
\(291\) 9.53532e20 + 1.13026e22i 0.00373553 + 0.0442787i
\(292\) 1.48925e23 7.17928e21i 0.564715 0.0272235i
\(293\) 3.59809e23i 1.32078i −0.750924 0.660388i \(-0.770392\pi\)
0.750924 0.660388i \(-0.229608\pi\)
\(294\) −8.52923e20 7.84842e21i −0.00303117 0.0278922i
\(295\) 4.00120e23i 1.37683i
\(296\) −8.51305e22 + 6.16186e21i −0.283670 + 0.0205324i
\(297\) −7.02232e22 2.72183e23i −0.226618 0.878365i
\(298\) 1.31014e22 + 5.43858e23i 0.0409509 + 1.69993i
\(299\) 7.21816e23 2.18550
\(300\) −2.61974e22 1.96807e23i −0.0768435 0.577281i
\(301\) 2.01126e23 0.571592
\(302\) 5.79376e21 + 2.40508e23i 0.0159549 + 0.662312i
\(303\) −4.85783e23 + 4.09825e22i −1.29639 + 0.109369i
\(304\) −2.17789e22 2.25362e23i −0.0563295 0.582883i
\(305\) 2.12613e23i 0.533017i
\(306\) 1.04666e23 + 5.37234e23i 0.254363 + 1.30560i
\(307\) 1.03483e23i 0.243812i 0.992542 + 0.121906i \(0.0389007\pi\)
−0.992542 + 0.121906i \(0.961099\pi\)
\(308\) −1.88508e22 3.91036e23i −0.0430625 0.893274i
\(309\) 3.01244e23 2.54141e22i 0.667288 0.0562950i
\(310\) −5.56832e23 + 1.34139e22i −1.19616 + 0.0288151i
\(311\) −3.37742e23 −0.703657 −0.351829 0.936064i \(-0.614440\pi\)
−0.351829 + 0.936064i \(0.614440\pi\)
\(312\) 1.33708e23 + 8.47819e23i 0.270202 + 1.71330i
\(313\) −3.96626e23 −0.777517 −0.388759 0.921340i \(-0.627096\pi\)
−0.388759 + 0.921340i \(0.627096\pi\)
\(314\) 4.19346e23 1.01019e22i 0.797518 0.0192120i
\(315\) −6.62587e23 + 1.12598e23i −1.22262 + 0.207769i
\(316\) −7.69027e21 1.59524e23i −0.0137694 0.285627i
\(317\) 1.29287e23i 0.224642i −0.993672 0.112321i \(-0.964172\pi\)
0.993672 0.112321i \(-0.0358285\pi\)
\(318\) −5.66762e23 + 6.15925e22i −0.955747 + 0.103865i
\(319\) 6.63417e23i 1.08586i
\(320\) 1.14016e23 + 7.83481e23i 0.181151 + 1.24481i
\(321\) −4.16922e22 4.94195e23i −0.0643069 0.762256i
\(322\) −1.99774e22 8.29290e23i −0.0299163 1.24187i
\(323\) 5.35702e23 0.778931
\(324\) 6.56437e23 2.65872e23i 0.926863 0.375400i
\(325\) 7.36652e23 1.01011
\(326\) 2.14682e22 + 8.91175e23i 0.0285909 + 1.18685i
\(327\) −1.06365e23 1.26079e24i −0.137593 1.63095i
\(328\) −9.68895e21 1.33860e23i −0.0121752 0.168209i
\(329\) 1.63016e23i 0.199008i
\(330\) 9.56435e23 1.03940e23i 1.13442 0.123282i
\(331\) 9.53400e23i 1.09878i 0.835567 + 0.549388i \(0.185139\pi\)
−0.835567 + 0.549388i \(0.814861\pi\)
\(332\) −8.07654e23 + 3.89350e22i −0.904511 + 0.0436042i
\(333\) −2.57624e23 + 4.37800e22i −0.280393 + 0.0476492i
\(334\) 1.23656e24 2.97883e22i 1.30804 0.0315104i
\(335\) 1.79423e24 1.84481
\(336\) 9.70353e23 1.77081e23i 0.969855 0.176990i
\(337\) −1.21491e24 −1.18048 −0.590242 0.807227i \(-0.700967\pi\)
−0.590242 + 0.807227i \(0.700967\pi\)
\(338\) −2.12538e24 + 5.11999e22i −2.00784 + 0.0483682i
\(339\) −1.17199e24 + 9.88733e22i −1.07653 + 0.0908201i
\(340\) −1.87111e24 + 9.02015e22i −1.67128 + 0.0805682i
\(341\) 9.93332e23i 0.862835i
\(342\) −1.32557e23 6.80391e23i −0.111983 0.574791i
\(343\) 1.23348e24i 1.01353i
\(344\) −5.23675e22 7.23495e23i −0.0418559 0.578270i
\(345\) 2.03131e24 1.71369e23i 1.57941 0.133245i
\(346\) 6.62416e21 + 2.74978e23i 0.00501081 + 0.208006i
\(347\) 1.67024e23 0.122927 0.0614637 0.998109i \(-0.480423\pi\)
0.0614637 + 0.998109i \(0.480423\pi\)
\(348\) 1.65690e24 2.20554e23i 1.18657 0.157947i
\(349\) −1.48635e24 −1.03581 −0.517903 0.855439i \(-0.673287\pi\)
−0.517903 + 0.855439i \(0.673287\pi\)
\(350\) −2.03880e22 8.46335e23i −0.0138270 0.573979i
\(351\) 6.56467e23 + 2.54445e24i 0.433307 + 1.67948i
\(352\) −1.40174e24 + 1.69626e23i −0.900558 + 0.108977i
\(353\) 1.33257e24i 0.833356i 0.909054 + 0.416678i \(0.136806\pi\)
−0.909054 + 0.416678i \(0.863194\pi\)
\(354\) −1.94239e23 1.78734e24i −0.118251 1.08812i
\(355\) 7.54255e23i 0.447043i
\(356\) −4.91620e22 1.01980e24i −0.0283697 0.588492i
\(357\) 1.96193e23 + 2.32556e24i 0.110239 + 1.30671i
\(358\) 4.07125e23 9.80754e21i 0.222761 0.00536626i
\(359\) −8.93250e23 −0.475966 −0.237983 0.971269i \(-0.576486\pi\)
−0.237983 + 0.971269i \(0.576486\pi\)
\(360\) 5.77561e23 + 2.35416e24i 0.299726 + 1.22169i
\(361\) 1.29997e24 0.657074
\(362\) 1.18894e24 2.86413e22i 0.585369 0.0141014i
\(363\) −3.10454e22 3.67994e23i −0.0148896 0.176493i
\(364\) 1.76223e23 + 3.65552e24i 0.0823379 + 1.70799i
\(365\) 1.56232e24i 0.711194i
\(366\) 1.03213e23 + 9.49746e23i 0.0457788 + 0.421247i
\(367\) 2.44161e24i 1.05523i 0.849482 + 0.527617i \(0.176914\pi\)
−0.849482 + 0.527617i \(0.823086\pi\)
\(368\) −2.97795e24 + 2.87787e23i −1.25419 + 0.121204i
\(369\) −6.88400e22 4.05091e23i −0.0282547 0.166265i
\(370\) −2.15390e22 8.94116e23i −0.00861607 0.357666i
\(371\) −2.43089e24 −0.947792
\(372\) 2.48087e24 3.30235e23i 0.942857 0.125506i
\(373\) −2.28948e24 −0.848208 −0.424104 0.905614i \(-0.639411\pi\)
−0.424104 + 0.905614i \(0.639411\pi\)
\(374\) −8.04551e22 3.33981e24i −0.0290585 1.20626i
\(375\) −1.48662e24 + 1.25417e23i −0.523483 + 0.0441631i
\(376\) −5.86407e23 + 4.24449e22i −0.201333 + 0.0145727i
\(377\) 6.20181e24i 2.07623i
\(378\) 2.90513e24 8.24632e23i 0.948404 0.269208i
\(379\) 1.54554e24i 0.492049i 0.969264 + 0.246024i \(0.0791243\pi\)
−0.969264 + 0.246024i \(0.920876\pi\)
\(380\) 2.36971e24 1.14238e23i 0.735784 0.0354703i
\(381\) −3.85512e24 + 3.25233e23i −1.16748 + 0.0984934i
\(382\) 4.14806e24 9.99258e22i 1.22530 0.0295172i
\(383\) 3.84431e24 1.10772 0.553860 0.832610i \(-0.313154\pi\)
0.553860 + 0.832610i \(0.313154\pi\)
\(384\) −8.89654e23 3.44448e24i −0.250077 0.968226i
\(385\) 4.10223e24 1.12498
\(386\) 3.38997e23 8.16634e21i 0.0907018 0.00218498i
\(387\) −3.72071e23 2.18946e24i −0.0971341 0.571588i
\(388\) 1.74234e23 8.39937e21i 0.0443845 0.00213966i
\(389\) 5.52482e24i 1.37340i −0.726941 0.686700i \(-0.759059\pi\)
0.726941 0.686700i \(-0.240941\pi\)
\(390\) −8.94104e24 + 9.71662e23i −2.16907 + 0.235723i
\(391\) 7.07880e24i 1.67602i
\(392\) −1.21092e23 + 8.76478e21i −0.0279832 + 0.00202546i
\(393\) −4.10851e23 4.86999e24i −0.0926734 1.09850i
\(394\) −1.93851e23 8.04703e24i −0.0426829 1.77183i
\(395\) 1.67352e24 0.359715
\(396\) −4.22196e24 + 9.28605e23i −0.885951 + 0.194862i
\(397\) 2.18751e24 0.448168 0.224084 0.974570i \(-0.428061\pi\)
0.224084 + 0.974570i \(0.428061\pi\)
\(398\) −1.29957e22 5.39469e23i −0.00259962 0.107914i
\(399\) −2.48473e23 2.94526e24i −0.0485330 0.575282i
\(400\) −3.03916e24 + 2.93702e23i −0.579673 + 0.0560193i
\(401\) 1.51889e24i 0.282914i −0.989944 0.141457i \(-0.954821\pi\)
0.989944 0.141457i \(-0.0451786\pi\)
\(402\) −8.01485e24 + 8.71010e23i −1.45797 + 0.158444i
\(403\) 9.28596e24i 1.64979i
\(404\) 3.61003e23 + 7.48852e24i 0.0626451 + 1.29949i
\(405\) 2.45150e24 + 7.00465e24i 0.415536 + 1.18731i
\(406\) 7.12522e24 1.71645e23i 1.17978 0.0284206i
\(407\) 1.59501e24 0.257998
\(408\) 8.31450e24 1.31126e24i 1.31391 0.207214i
\(409\) 3.51164e24 0.542174 0.271087 0.962555i \(-0.412617\pi\)
0.271087 + 0.962555i \(0.412617\pi\)
\(410\) 1.40591e24 3.38681e22i 0.212086 0.00510910i
\(411\) 8.71789e24 7.35475e23i 1.28503 0.108410i
\(412\) −2.23865e23 4.64379e24i −0.0322451 0.668882i
\(413\) 7.66607e24i 1.07906i
\(414\) −8.99072e24 + 1.75161e24i −1.23678 + 0.240955i
\(415\) 8.47284e24i 1.13913i
\(416\) 1.31039e25 1.58571e24i 1.72192 0.208371i
\(417\) −7.26369e24 + 6.12793e23i −0.932964 + 0.0787084i
\(418\) 1.01894e23 + 4.22977e24i 0.0127931 + 0.531058i
\(419\) −1.23815e25 −1.51964 −0.759818 0.650136i \(-0.774712\pi\)
−0.759818 + 0.650136i \(0.774712\pi\)
\(420\) 1.36379e24 + 1.02454e25i 0.163637 + 1.22931i
\(421\) −5.94793e24 −0.697728 −0.348864 0.937173i \(-0.613433\pi\)
−0.348864 + 0.937173i \(0.613433\pi\)
\(422\) 3.85364e23 + 1.59970e25i 0.0441980 + 1.83472i
\(423\) −1.77460e24 + 3.01571e23i −0.199007 + 0.0338186i
\(424\) 6.32936e23 + 8.74447e24i 0.0694039 + 0.958866i
\(425\) 7.22430e24i 0.774641i
\(426\) 3.66154e23 + 3.36927e24i 0.0383948 + 0.353301i
\(427\) 4.07354e24i 0.417741i
\(428\) −7.61820e24 + 3.67254e23i −0.764076 + 0.0368342i
\(429\) −1.34834e24 1.59824e25i −0.132268 1.56782i
\(430\) 7.59878e24 1.83053e23i 0.729111 0.0175641i
\(431\) −1.64433e25 −1.54331 −0.771657 0.636039i \(-0.780572\pi\)
−0.771657 + 0.636039i \(0.780572\pi\)
\(432\) −3.72281e24 1.02357e25i −0.341802 0.939772i
\(433\) 7.44009e24 0.668257 0.334128 0.942528i \(-0.391558\pi\)
0.334128 + 0.942528i \(0.391558\pi\)
\(434\) 1.06686e25 2.57003e23i 0.937463 0.0225832i
\(435\) 1.47240e24 + 1.74530e25i 0.126584 + 1.50045i
\(436\) −1.94356e25 + 9.36939e23i −1.63484 + 0.0788115i
\(437\) 8.96509e24i 0.737872i
\(438\) −7.58430e23 6.97892e24i −0.0610817 0.562062i
\(439\) 2.38017e24i 0.187583i 0.995592 + 0.0937917i \(0.0298988\pi\)
−0.995592 + 0.0937917i \(0.970101\pi\)
\(440\) −1.06811e24 1.47567e25i −0.0823786 1.13812i
\(441\) −3.66452e23 + 6.22738e22i −0.0276599 + 0.00470044i
\(442\) 7.52118e23 + 3.12215e25i 0.0555616 + 2.30644i
\(443\) 1.57422e25 1.13823 0.569116 0.822257i \(-0.307285\pi\)
0.569116 + 0.822257i \(0.307285\pi\)
\(444\) 5.30264e23 + 3.98358e24i 0.0375279 + 0.281926i
\(445\) 1.06984e25 0.741138
\(446\) −1.49971e23 6.22553e24i −0.0101701 0.422177i
\(447\) 2.55234e25 2.15325e24i 1.69441 0.142947i
\(448\) −2.18448e24 1.50110e25i −0.141974 0.975596i
\(449\) 9.43470e24i 0.600327i −0.953888 0.300164i \(-0.902959\pi\)
0.953888 0.300164i \(-0.0970413\pi\)
\(450\) −9.17552e24 + 1.78762e24i −0.571626 + 0.111367i
\(451\) 2.50801e24i 0.152986i
\(452\) 8.70945e23 + 1.80666e25i 0.0520207 + 1.07910i
\(453\) 1.12871e25 9.52222e23i 0.660159 0.0556936i
\(454\) 2.62844e25 6.33184e23i 1.50545 0.0362659i
\(455\) −3.83489e25 −2.15102
\(456\) −1.05301e25 + 1.66068e24i −0.578449 + 0.0912261i
\(457\) −1.53829e25 −0.827627 −0.413814 0.910362i \(-0.635803\pi\)
−0.413814 + 0.910362i \(0.635803\pi\)
\(458\) −7.04121e23 + 1.69621e22i −0.0371044 + 0.000893835i
\(459\) 2.49532e25 6.43792e24i 1.28797 0.332296i
\(460\) −1.50954e24 3.13134e25i −0.0763213 1.58318i
\(461\) 2.28093e25i 1.12967i 0.825203 + 0.564836i \(0.191061\pi\)
−0.825203 + 0.564836i \(0.808939\pi\)
\(462\) −1.83247e25 + 1.99143e24i −0.889077 + 0.0966199i
\(463\) 1.55149e25i 0.737445i −0.929540 0.368722i \(-0.879795\pi\)
0.929540 0.368722i \(-0.120205\pi\)
\(464\) −2.47266e24 2.55864e25i −0.115144 1.19148i
\(465\) 2.20462e24 + 2.61323e25i 0.100584 + 1.19227i
\(466\) −1.39701e23 5.79919e24i −0.00624501 0.259239i
\(467\) −1.30353e25 −0.570967 −0.285483 0.958384i \(-0.592154\pi\)
−0.285483 + 0.958384i \(0.592154\pi\)
\(468\) 3.94681e25 8.68087e24i 1.69399 0.372587i
\(469\) −3.43764e25 −1.44583
\(470\) −1.48368e23 6.15896e24i −0.00611519 0.253850i
\(471\) −1.66028e24 1.96800e25i −0.0670630 0.794926i
\(472\) −2.75766e25 + 1.99603e24i −1.09167 + 0.0790166i
\(473\) 1.35555e25i 0.525937i
\(474\) −7.47564e24 + 8.12412e23i −0.284285 + 0.0308946i
\(475\) 9.14936e24i 0.341037i
\(476\) 3.58494e25 1.72821e24i 1.30983 0.0631437i
\(477\) 4.49701e24 + 2.64627e25i 0.161064 + 0.947786i
\(478\) −2.87676e25 + 6.93005e23i −1.01004 + 0.0243316i
\(479\) 5.61374e25 1.93226 0.966128 0.258064i \(-0.0830846\pi\)
0.966128 + 0.258064i \(0.0830846\pi\)
\(480\) 3.65000e25 7.57350e24i 1.23169 0.255567i
\(481\) −1.49106e25 −0.493308
\(482\) −7.68405e24 + 1.85107e23i −0.249255 + 0.00600448i
\(483\) −3.89188e25 + 3.28334e24i −1.23783 + 0.104428i
\(484\) −5.67276e24 + 2.73469e23i −0.176915 + 0.00852860i
\(485\) 1.82783e24i 0.0558972i
\(486\) −1.43513e25 3.00998e25i −0.430375 0.902650i
\(487\) 1.26544e25i 0.372149i −0.982536 0.186074i \(-0.940423\pi\)
0.982536 0.186074i \(-0.0595766\pi\)
\(488\) 1.46535e25 1.06064e24i 0.422622 0.0305899i
\(489\) 4.18231e25 3.52836e24i 1.18299 0.0998017i
\(490\) −3.06377e22 1.27181e24i −0.000849949 0.0352826i
\(491\) −4.38161e25 −1.19223 −0.596114 0.802900i \(-0.703289\pi\)
−0.596114 + 0.802900i \(0.703289\pi\)
\(492\) −6.26381e24 + 8.33792e23i −0.167174 + 0.0222530i
\(493\) 6.08207e25 1.59223
\(494\) −9.52536e23 3.95411e25i −0.0244611 1.01541i
\(495\) −7.58890e24 4.46571e25i −0.191174 1.12497i
\(496\) −3.70230e24 3.83104e25i −0.0914947 0.946763i
\(497\) 1.44511e25i 0.350360i
\(498\) 4.11315e24 + 3.78484e25i 0.0978354 + 0.900261i
\(499\) 3.41028e25i 0.795857i 0.917416 + 0.397929i \(0.130271\pi\)
−0.917416 + 0.397929i \(0.869729\pi\)
\(500\) 1.10476e24 + 2.29168e25i 0.0252961 + 0.524733i
\(501\) −4.89579e24 5.80319e25i −0.109993 1.30379i
\(502\) 2.81828e25 6.78918e23i 0.621297 0.0149669i
\(503\) −4.83016e24 −0.104488 −0.0522439 0.998634i \(-0.516637\pi\)
−0.0522439 + 0.998634i \(0.516637\pi\)
\(504\) −1.10657e25 4.51044e25i −0.234904 0.957478i
\(505\) −7.85597e25 −1.63656
\(506\) 5.58925e25 1.34643e24i 1.14268 0.0275268i
\(507\) 8.41485e24 + 9.97447e25i 0.168838 + 2.00131i
\(508\) 2.86488e24 + 5.94281e25i 0.0564158 + 1.17027i
\(509\) 1.34104e25i 0.259192i 0.991567 + 0.129596i \(0.0413681\pi\)
−0.991567 + 0.129596i \(0.958632\pi\)
\(510\) 9.52902e24 + 8.76841e25i 0.180772 + 1.66343i
\(511\) 2.99332e25i 0.557383i
\(512\) −5.34294e25 + 1.17665e25i −0.976598 + 0.215072i
\(513\) −3.16025e25 + 8.15344e24i −0.567031 + 0.146294i
\(514\) −4.71123e23 1.95570e25i −0.00829822 0.344471i
\(515\) 4.87166e25 0.842380
\(516\) −3.38551e25 + 4.50654e24i −0.574713 + 0.0765016i
\(517\) 1.09870e25 0.183112
\(518\) 4.12675e23 + 1.71307e25i 0.00675267 + 0.280313i
\(519\) 1.29048e25 1.08870e24i 0.207330 0.0174911i
\(520\) 9.98497e24 + 1.37950e26i 0.157513 + 2.17615i
\(521\) 5.58594e25i 0.865242i −0.901576 0.432621i \(-0.857589\pi\)
0.901576 0.432621i \(-0.142411\pi\)
\(522\) −1.50498e25 7.72479e25i −0.228908 1.17494i
\(523\) 7.02715e25i 1.04957i 0.851233 + 0.524787i \(0.175855\pi\)
−0.851233 + 0.524787i \(0.824145\pi\)
\(524\) −7.50726e25 + 3.61906e24i −1.10112 + 0.0530822i
\(525\) −3.97187e25 + 3.35083e24i −0.572113 + 0.0482657i
\(526\) 4.78416e25 1.15249e24i 0.676770 0.0163032i
\(527\) 9.10667e25 1.26520
\(528\) 1.19349e25 + 6.53998e25i 0.162853 + 0.892389i
\(529\) 4.38498e25 0.587677
\(530\) −9.18421e25 + 2.21245e24i −1.20899 + 0.0291241i
\(531\) −8.34531e25 + 1.41818e25i −1.07906 + 0.183372i
\(532\) −4.54022e25 + 2.18872e24i −0.576655 + 0.0277991i
\(533\) 2.34456e25i 0.292518i
\(534\) −4.77900e25 + 5.19355e24i −0.585727 + 0.0636536i
\(535\) 7.99201e25i 0.962266i
\(536\) 8.95065e24 + 1.23660e26i 0.105874 + 1.46273i
\(537\) −1.61190e24 1.91065e25i −0.0187319 0.222037i
\(538\) −1.37144e24 5.69305e25i −0.0156583 0.650000i
\(539\) 2.26879e24 0.0254507
\(540\) 1.09009e26 3.37997e25i 1.20149 0.372540i
\(541\) 1.58666e26 1.71835 0.859174 0.511684i \(-0.170978\pi\)
0.859174 + 0.511684i \(0.170978\pi\)
\(542\) 2.10158e24 + 8.72398e25i 0.0223642 + 0.928371i
\(543\) −4.70729e24 5.57974e25i −0.0492235 0.583466i
\(544\) −1.55509e25 1.28509e26i −0.159796 1.32051i
\(545\) 2.03892e26i 2.05889i
\(546\) 1.71305e26 1.86165e25i 1.69997 0.184743i
\(547\) 2.32297e25i 0.226550i −0.993564 0.113275i \(-0.963866\pi\)
0.993564 0.113275i \(-0.0361341\pi\)
\(548\) −6.47858e24 1.34389e26i −0.0620961 1.28810i
\(549\) 4.43447e25 7.53582e24i 0.417738 0.0709893i
\(550\) 5.70413e25 1.37411e24i 0.528134 0.0127226i
\(551\) −7.70277e25 −0.700981
\(552\) 2.19443e25 + 1.39145e26i 0.196291 + 1.24465i
\(553\) −3.20637e25 −0.281919
\(554\) −1.42078e26 + 3.42262e24i −1.22796 + 0.0295812i
\(555\) −4.19611e25 + 3.54000e24i −0.356503 + 0.0300760i
\(556\) 5.39791e24 + 1.11972e26i 0.0450832 + 0.935192i
\(557\) 6.00718e25i 0.493226i 0.969114 + 0.246613i \(0.0793177\pi\)
−0.969114 + 0.246613i \(0.920682\pi\)
\(558\) −2.25340e25 1.15663e26i −0.181892 0.933620i
\(559\) 1.26720e26i 1.00562i
\(560\) 1.58213e26 1.52896e25i 1.23440 0.119292i
\(561\) −1.56738e26 + 1.32230e25i −1.20234 + 0.101434i
\(562\) −5.01555e24 2.08203e26i −0.0378289 1.57033i
\(563\) 3.07397e25 0.227966 0.113983 0.993483i \(-0.463639\pi\)
0.113983 + 0.993483i \(0.463639\pi\)
\(564\) 3.65264e24 + 2.74402e25i 0.0266351 + 0.200095i
\(565\) −1.89531e26 −1.35900
\(566\) 1.84429e24 + 7.65590e25i 0.0130039 + 0.539809i
\(567\) −4.69693e25 1.34205e26i −0.325668 0.930529i
\(568\) 5.19839e25 3.76266e24i 0.354454 0.0256558i
\(569\) 9.86106e25i 0.661237i 0.943765 + 0.330618i \(0.107257\pi\)
−0.943765 + 0.330618i \(0.892743\pi\)
\(570\) −1.20682e25 1.11049e26i −0.0795852 0.732327i
\(571\) 2.92044e26i 1.89411i 0.321075 + 0.947054i \(0.395956\pi\)
−0.321075 + 0.947054i \(0.604044\pi\)
\(572\) −2.46374e26 + 1.18771e25i −1.57157 + 0.0757613i
\(573\) −1.64231e25 1.94670e26i −0.103035 1.22132i
\(574\) −2.69365e25 + 6.48894e23i −0.166218 + 0.00400415i
\(575\) 1.20900e26 0.733808
\(576\) −1.59370e26 + 5.15499e25i −0.951463 + 0.307762i
\(577\) 2.73567e26 1.60655 0.803275 0.595609i \(-0.203089\pi\)
0.803275 + 0.595609i \(0.203089\pi\)
\(578\) 1.33130e26 3.20707e24i 0.769064 0.0185265i
\(579\) −1.34216e24 1.59092e25i −0.00762708 0.0904070i
\(580\) 2.69044e26 1.29699e25i 1.50403 0.0725056i
\(581\) 1.62335e26i 0.892768i
\(582\) −8.87323e23 8.16496e24i −0.00480080 0.0441759i
\(583\) 1.63837e26i 0.872089i
\(584\) −1.07676e26 + 7.79376e24i −0.563896 + 0.0408155i
\(585\) 7.09432e25 + 4.17467e26i 0.365536 + 2.15101i
\(586\) 6.27426e24 + 2.60454e26i 0.0318079 + 1.32039i
\(587\) 3.14699e26 1.56976 0.784880 0.619647i \(-0.212724\pi\)
0.784880 + 0.619647i \(0.212724\pi\)
\(588\) 7.54262e23 + 5.66634e24i 0.00370201 + 0.0278111i
\(589\) −1.15333e26 −0.557006
\(590\) −6.97721e24 2.89634e26i −0.0331579 1.37643i
\(591\) −3.77649e26 + 3.18599e25i −1.76607 + 0.148992i
\(592\) 6.15158e25 5.94485e24i 0.283094 0.0273580i
\(593\) 3.21121e26i 1.45429i 0.686487 + 0.727143i \(0.259152\pi\)
−0.686487 + 0.727143i \(0.740848\pi\)
\(594\) 5.55786e25 + 1.95800e26i 0.247706 + 0.872652i
\(595\) 3.76084e26i 1.64958i
\(596\) −1.89674e25 3.93453e26i −0.0818781 1.69845i
\(597\) −2.53174e25 + 2.13588e24i −0.107563 + 0.00907445i
\(598\) −5.22499e26 + 1.25869e25i −2.18486 + 0.0526328i
\(599\) 1.23579e26 0.508616 0.254308 0.967123i \(-0.418152\pi\)
0.254308 + 0.967123i \(0.418152\pi\)
\(600\) 2.23953e25 + 1.42005e26i 0.0907237 + 0.575263i
\(601\) 2.80304e26 1.11769 0.558846 0.829272i \(-0.311244\pi\)
0.558846 + 0.829272i \(0.311244\pi\)
\(602\) −1.45588e26 + 3.50718e24i −0.571426 + 0.0137655i
\(603\) 6.35943e25 + 3.74223e26i 0.245699 + 1.44582i
\(604\) −8.38783e24 1.73994e26i −0.0319006 0.661736i
\(605\) 5.95111e25i 0.222804i
\(606\) 3.50928e26 3.81369e25i 1.29338 0.140558i
\(607\) 1.20549e26i 0.437392i −0.975793 0.218696i \(-0.929820\pi\)
0.975793 0.218696i \(-0.0701802\pi\)
\(608\) 1.96948e25 + 1.62752e26i 0.0703506 + 0.581357i
\(609\) −2.82103e25 3.34389e26i −0.0992073 1.17595i
\(610\) 3.70750e24 + 1.53903e26i 0.0128365 + 0.532862i
\(611\) −1.02709e26 −0.350121
\(612\) −8.51326e25 3.87061e26i −0.285731 1.29909i
\(613\) −5.12821e26 −1.69469 −0.847347 0.531040i \(-0.821802\pi\)
−0.847347 + 0.531040i \(0.821802\pi\)
\(614\) −1.80452e24 7.49082e25i −0.00587167 0.243742i
\(615\) −5.56632e24 6.59799e25i −0.0178342 0.211397i
\(616\) 2.04643e25 + 2.82729e26i 0.0645625 + 0.891978i
\(617\) 2.33232e26i 0.724568i −0.932068 0.362284i \(-0.881997\pi\)
0.932068 0.362284i \(-0.118003\pi\)
\(618\) −2.17618e26 + 2.36495e25i −0.665739 + 0.0723488i
\(619\) 3.81573e26i 1.14952i −0.818322 0.574761i \(-0.805095\pi\)
0.818322 0.574761i \(-0.194905\pi\)
\(620\) 4.02839e26 1.94198e25i 1.19512 0.0576135i
\(621\) 1.07740e26 + 4.17597e26i 0.314780 + 1.22008i
\(622\) 2.44480e26 5.88947e24i 0.703453 0.0169460i
\(623\) −2.04975e26 −0.580852
\(624\) −1.11571e26 6.11377e26i −0.311385 1.70630i
\(625\) −4.52279e26 −1.24321
\(626\) 2.87105e26 6.91628e24i 0.777292 0.0187248i
\(627\) 1.98504e26 1.67466e25i 0.529332 0.0446565i
\(628\) −3.03374e26 + 1.46249e25i −0.796824 + 0.0384129i
\(629\) 1.46227e26i 0.378310i
\(630\) 4.77662e26 9.30603e25i 1.21727 0.237153i
\(631\) 4.50370e26i 1.13055i −0.824901 0.565277i \(-0.808769\pi\)
0.824901 0.565277i \(-0.191231\pi\)
\(632\) 8.34848e24 + 1.15340e26i 0.0206441 + 0.285213i
\(633\) 7.50743e26 6.33356e25i 1.82876 0.154281i
\(634\) 2.25447e24 + 9.35864e25i 0.00541000 + 0.224577i
\(635\) −6.23441e26 −1.47382
\(636\) 4.09186e26 5.44679e25i 0.952968 0.126852i
\(637\) −2.12093e25 −0.0486633
\(638\) 1.15685e25 + 4.80226e26i 0.0261506 + 1.08555i
\(639\) 1.57315e26 2.67337e25i 0.350358 0.0595389i
\(640\) −9.61947e25 5.65148e26i −0.211077 1.24009i
\(641\) 5.85256e25i 0.126530i −0.997997 0.0632652i \(-0.979849\pi\)
0.997997 0.0632652i \(-0.0201514\pi\)
\(642\) 3.87973e25 + 3.57005e26i 0.0826454 + 0.760486i
\(643\) 7.20960e26i 1.51324i 0.653856 + 0.756619i \(0.273150\pi\)
−0.653856 + 0.756619i \(0.726850\pi\)
\(644\) 2.89219e25 + 5.99947e26i 0.0598152 + 1.24079i
\(645\) −3.00852e25 3.56613e26i −0.0613107 0.726741i
\(646\) −3.87777e26 + 9.34145e24i −0.778705 + 0.0187588i
\(647\) 2.34600e26 0.464235 0.232118 0.972688i \(-0.425435\pi\)
0.232118 + 0.972688i \(0.425435\pi\)
\(648\) −4.70537e26 + 2.03903e26i −0.917553 + 0.397613i
\(649\) 5.16678e26 0.992876
\(650\) −5.33239e26 + 1.28456e25i −1.00982 + 0.0243263i
\(651\) −4.22392e25 5.00679e26i −0.0788309 0.934416i
\(652\) −3.10802e25 6.44718e26i −0.0571652 1.18582i
\(653\) 5.12979e26i 0.929874i −0.885344 0.464937i \(-0.846077\pi\)
0.885344 0.464937i \(-0.153923\pi\)
\(654\) 9.89797e25 + 9.10791e26i 0.176831 + 1.62716i
\(655\) 7.87563e26i 1.38673i
\(656\) 9.34773e24 + 9.67279e25i 0.0162226 + 0.167867i
\(657\) −3.25853e26 + 5.53746e25i −0.557380 + 0.0947196i
\(658\) 2.84264e24 + 1.18002e26i 0.00479265 + 0.198950i
\(659\) −1.75891e25 −0.0292303 −0.0146151 0.999893i \(-0.504652\pi\)
−0.0146151 + 0.999893i \(0.504652\pi\)
\(660\) −6.90520e26 + 9.19170e25i −1.13112 + 0.150566i
\(661\) 2.15333e26 0.347694 0.173847 0.984773i \(-0.444380\pi\)
0.173847 + 0.984773i \(0.444380\pi\)
\(662\) −1.66252e25 6.90135e26i −0.0264615 1.09846i
\(663\) 1.46523e27 1.23613e26i 2.29894 0.193948i
\(664\) 5.83956e26 4.22675e25i 0.903198 0.0653746i
\(665\) 4.76300e26i 0.726231i
\(666\) 1.85722e26 3.61833e25i 0.279164 0.0543880i
\(667\) 1.01785e27i 1.50830i
\(668\) −8.94583e26 + 4.31256e25i −1.30691 + 0.0630026i
\(669\) −2.92166e26 + 2.46482e25i −0.420805 + 0.0355007i
\(670\) −1.29878e27 + 3.12874e25i −1.84428 + 0.0444281i
\(671\) −2.74548e26 −0.384375
\(672\) −6.99319e26 + 1.45104e26i −0.965311 + 0.200295i
\(673\) −1.14126e27 −1.55325 −0.776626 0.629961i \(-0.783071\pi\)
−0.776626 + 0.629961i \(0.783071\pi\)
\(674\) 8.79433e26 2.11853e25i 1.18014 0.0284293i
\(675\) 1.09955e26 + 4.26181e26i 0.145488 + 0.563908i
\(676\) 1.53760e27 7.41239e25i 2.00609 0.0967084i
\(677\) 1.06722e27i 1.37298i −0.727141 0.686488i \(-0.759151\pi\)
0.727141 0.686488i \(-0.240849\pi\)
\(678\) 8.46639e26 9.20080e25i 1.07403 0.116720i
\(679\) 3.50202e25i 0.0438082i
\(680\) 1.35286e27 9.79219e25i 1.66886 0.120794i
\(681\) −1.04066e26 1.23353e27i −0.126593 1.50056i
\(682\) 1.73215e25 + 7.19041e26i 0.0207795 + 0.862585i
\(683\) −1.20569e27 −1.42640 −0.713198 0.700963i \(-0.752754\pi\)
−0.713198 + 0.700963i \(0.752754\pi\)
\(684\) 1.07818e26 + 4.90201e26i 0.125794 + 0.571928i
\(685\) 1.40984e27 1.62222
\(686\) 2.15091e25 + 8.92875e26i 0.0244086 + 1.01324i
\(687\) 2.78777e24 + 3.30446e25i 0.00312009 + 0.0369838i
\(688\) 5.05233e25 + 5.22802e26i 0.0557701 + 0.577094i
\(689\) 1.53160e27i 1.66748i
\(690\) −1.46741e27 + 1.59470e26i −1.57575 + 0.171243i
\(691\) 1.07225e27i 1.13567i 0.823141 + 0.567836i \(0.192219\pi\)
−0.823141 + 0.567836i \(0.807781\pi\)
\(692\) −9.59002e24 1.98932e26i −0.0100187 0.207825i
\(693\) 1.45399e26 + 8.55603e26i 0.149829 + 0.881671i
\(694\) −1.20903e26 + 2.91253e24i −0.122892 + 0.00296043i
\(695\) −1.17467e27 −1.17777
\(696\) −1.19553e27 + 1.88544e26i −1.18242 + 0.186477i
\(697\) −2.29929e26 −0.224328
\(698\) 1.07592e27 2.59186e25i 1.03551 0.0249451i
\(699\) −2.72157e26 + 2.29603e25i −0.258397 + 0.0217993i
\(700\) 2.95164e25 + 6.12279e26i 0.0276460 + 0.573480i
\(701\) 2.03381e26i 0.187927i −0.995576 0.0939633i \(-0.970046\pi\)
0.995576 0.0939633i \(-0.0299536\pi\)
\(702\) −5.19564e26 1.83039e27i −0.473627 1.66856i
\(703\) 1.85193e26i 0.166552i
\(704\) 1.01171e27 1.47230e26i 0.897672 0.130634i
\(705\) −2.89042e26 + 2.43847e25i −0.253025 + 0.0213462i
\(706\) −2.32371e25 9.64605e26i −0.0200695 0.833114i
\(707\) 1.50516e27 1.28262
\(708\) 1.71770e26 + 1.29041e27i 0.144422 + 1.08496i
\(709\) 8.47362e26 0.702959 0.351479 0.936196i \(-0.385679\pi\)
0.351479 + 0.936196i \(0.385679\pi\)
\(710\) 1.31525e25 + 5.45981e26i 0.0107660 + 0.446913i
\(711\) 5.93160e25 + 3.49046e26i 0.0479083 + 0.281917i
\(712\) 5.33699e25 + 7.37344e26i 0.0425340 + 0.587638i
\(713\) 1.52402e27i 1.19851i
\(714\) −1.82571e26 1.67998e27i −0.141676 1.30368i
\(715\) 2.58464e27i 1.97921i
\(716\) −2.94534e26 + 1.41987e25i −0.222567 + 0.0107294i
\(717\) 1.13897e26 + 1.35007e27i 0.0849340 + 1.00676i
\(718\) 6.46594e26 1.55763e25i 0.475828 0.0114626i
\(719\) 2.90458e26 0.210940 0.105470 0.994422i \(-0.466365\pi\)
0.105470 + 0.994422i \(0.466365\pi\)
\(720\) −4.59129e26 1.69403e27i −0.329061 1.21412i
\(721\) −9.33381e26 −0.660198
\(722\) −9.41005e26 + 2.26686e25i −0.656884 + 0.0158242i
\(723\) 3.04228e25 + 3.60614e26i 0.0209597 + 0.248444i
\(724\) −8.60138e26 + 4.14651e25i −0.584860 + 0.0281946i
\(725\) 1.03877e27i 0.697121i
\(726\) 2.88897e25 + 2.65837e26i 0.0191358 + 0.176083i
\(727\) 1.02847e27i 0.672378i 0.941795 + 0.336189i \(0.109138\pi\)
−0.941795 + 0.336189i \(0.890862\pi\)
\(728\) −1.91306e26 2.64304e27i −0.123447 1.70551i
\(729\) −1.37407e27 + 7.59581e26i −0.875181 + 0.483796i
\(730\) −2.72434e25 1.13091e27i −0.0171275 0.710987i
\(731\) −1.24274e27 −0.771195
\(732\) −9.12741e25 6.85690e26i −0.0559103 0.420023i
\(733\) −4.55528e25 −0.0275440 −0.0137720 0.999905i \(-0.504384\pi\)
−0.0137720 + 0.999905i \(0.504384\pi\)
\(734\) −4.25763e25 1.76740e27i −0.0254129 1.05493i
\(735\) −5.96865e25 + 5.03539e24i −0.0351679 + 0.00296690i
\(736\) 2.15062e27 2.60248e26i 1.25090 0.151373i
\(737\) 2.31690e27i 1.33035i
\(738\) 5.68949e25 + 2.92031e26i 0.0322506 + 0.165537i
\(739\) 2.43457e27i 1.36238i −0.732105 0.681192i \(-0.761462\pi\)
0.732105 0.681192i \(-0.238538\pi\)
\(740\) 3.11828e25 + 6.46845e26i 0.0172272 + 0.357354i
\(741\) −1.85568e27 + 1.56552e26i −1.01211 + 0.0853858i
\(742\) 1.75964e27 4.23893e25i 0.947517 0.0228254i
\(743\) 1.32233e27 0.702987 0.351494 0.936190i \(-0.385674\pi\)
0.351494 + 0.936190i \(0.385674\pi\)
\(744\) −1.79006e27 + 2.82307e26i −0.939561 + 0.148176i
\(745\) 4.12759e27 2.13901
\(746\) 1.65728e27 3.99234e25i 0.847962 0.0204272i
\(747\) 1.76718e27 3.00310e26i 0.892762 0.151714i
\(748\) 1.16478e26 + 2.41618e27i 0.0581002 + 1.20521i
\(749\) 1.53122e27i 0.754156i
\(750\) 1.07393e27 1.16709e26i 0.522268 0.0567572i
\(751\) 7.24509e26i 0.347908i 0.984754 + 0.173954i \(0.0556544\pi\)
−0.984754 + 0.173954i \(0.944346\pi\)
\(752\) 4.23741e26 4.09501e25i 0.200924 0.0194171i
\(753\) −1.11582e26 1.32263e27i −0.0522447 0.619278i
\(754\) −1.08146e26 4.48929e27i −0.0500014 2.07563i
\(755\) 1.82532e27 0.833380
\(756\) −2.08855e27 + 6.47583e26i −0.941646 + 0.291970i
\(757\) −1.00860e27 −0.449065 −0.224532 0.974467i \(-0.572085\pi\)
−0.224532 + 0.974467i \(0.572085\pi\)
\(758\) −2.69508e25 1.11877e27i −0.0118499 0.491906i
\(759\) −2.21290e26 2.62305e27i −0.0960872 1.13896i
\(760\) −1.71336e27 + 1.24015e26i −0.734716 + 0.0531797i
\(761\) 2.55491e27i 1.08199i 0.841027 + 0.540994i \(0.181952\pi\)
−0.841027 + 0.540994i \(0.818048\pi\)
\(762\) 2.78492e27 3.02650e26i 1.16477 0.126581i
\(763\)