Properties

Label 21.33.h.b.2.2
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(136.219975799\)
Analytic rank: \(0\)
Dimension: \(164\)
Relative dimension: \(82\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-110635. - 63875.0i) q^{2} +(2.07987e7 + 3.76886e7i) q^{3} +(6.01253e9 + 1.04140e10i) q^{4} +(-2.09739e11 - 1.21093e11i) q^{5} +(1.06302e11 - 5.49819e12i) q^{6} +(-3.25771e13 - 6.56963e12i) q^{7} -9.87520e14i q^{8} +(-9.87847e14 + 1.56775e15i) q^{9} +O(q^{10})\) \(q+(-110635. - 63875.0i) q^{2} +(2.07987e7 + 3.76886e7i) q^{3} +(6.01253e9 + 1.04140e10i) q^{4} +(-2.09739e11 - 1.21093e11i) q^{5} +(1.06302e11 - 5.49819e12i) q^{6} +(-3.25771e13 - 6.56963e12i) q^{7} -9.87520e14i q^{8} +(-9.87847e14 + 1.56775e15i) q^{9} +(1.54696e16 + 2.67941e16i) q^{10} +(-4.95473e16 + 2.86062e16i) q^{11} +(-2.67437e17 + 4.43202e17i) q^{12} +1.97333e16 q^{13} +(3.18452e18 + 2.80769e18i) q^{14} +(2.01525e17 - 1.04233e19i) q^{15} +(-3.72541e19 + 6.45261e19i) q^{16} +(6.05938e18 - 3.49839e18i) q^{17} +(2.09430e20 - 1.10349e20i) q^{18} +(4.44226e19 - 7.69422e19i) q^{19} -2.91230e21i q^{20} +(-4.29961e20 - 1.36443e21i) q^{21} +7.30887e21 q^{22} +(-2.14473e21 - 1.23826e21i) q^{23} +(3.72183e22 - 2.05391e22i) q^{24} +(1.76854e22 + 3.06320e22i) q^{25} +(-2.18319e21 - 1.26046e21i) q^{26} +(-7.96323e22 - 4.62344e21i) q^{27} +(-1.27455e23 - 3.78759e23i) q^{28} +2.90726e23i q^{29} +(-6.88086e23 + 1.14031e24i) q^{30} +(4.48474e23 + 7.76779e23i) q^{31} +(4.57007e24 - 2.63853e24i) q^{32} +(-2.10865e24 - 1.27240e24i) q^{33} -8.93837e23 q^{34} +(6.03715e24 + 5.32276e24i) q^{35} +(-2.22660e25 - 8.61305e23i) q^{36} +(2.07814e24 - 3.59944e24i) q^{37} +(-9.82936e24 + 5.67498e24i) q^{38} +(4.10427e23 + 7.43721e23i) q^{39} +(-1.19581e26 + 2.07121e26i) q^{40} +7.84777e25i q^{41} +(-3.95841e25 + 1.78417e26i) q^{42} -1.50652e26 q^{43} +(-5.95810e26 - 3.43991e26i) q^{44} +(3.97033e26 - 2.09197e26i) q^{45} +(1.58188e26 + 2.73989e26i) q^{46} +(5.99396e26 + 3.46061e26i) q^{47} +(-3.20674e27 - 6.19990e25i) q^{48} +(1.01811e27 + 4.28039e26i) q^{49} -4.51861e27i q^{50} +(2.57877e26 + 1.55608e26i) q^{51} +(1.18647e26 + 2.05503e26i) q^{52} +(-2.23143e27 + 1.28832e27i) q^{53} +(8.51477e27 + 5.59802e27i) q^{54} +1.38560e28 q^{55} +(-6.48764e27 + 3.21705e28i) q^{56} +(3.82378e27 + 7.39289e25i) q^{57} +(1.85701e28 - 3.21644e28i) q^{58} +(-2.90883e28 + 1.67942e28i) q^{59} +(1.09761e29 - 6.05720e28i) q^{60} +(-1.61940e28 + 2.80488e28i) q^{61} -1.14585e29i q^{62} +(4.24807e28 - 4.45830e28i) q^{63} -3.54133e29 q^{64} +(-4.13884e27 - 2.38956e27i) q^{65} +(1.52015e29 + 2.75461e29i) q^{66} +(1.27741e29 + 2.21255e29i) q^{67} +(7.28645e28 + 4.20683e28i) q^{68} +(2.06074e27 - 1.06586e29i) q^{69} +(-3.27927e29 - 9.74504e29i) q^{70} +1.09135e29i q^{71} +(1.54818e30 + 9.75519e29i) q^{72} +(3.56323e29 + 6.17169e29i) q^{73} +(-4.59828e29 + 2.65482e29i) q^{74} +(-7.86644e29 + 1.30364e30i) q^{75} +1.06837e30 q^{76} +(1.80204e30 - 6.06399e29i) q^{77} +(2.09769e27 - 1.08497e29i) q^{78} +(5.57190e29 - 9.65081e29i) q^{79} +(1.56273e31 - 9.02241e30i) q^{80} +(-1.48200e30 - 3.09740e30i) q^{81} +(5.01276e30 - 8.68235e30i) q^{82} +6.90786e29i q^{83} +(1.16240e31 - 1.26813e31i) q^{84} -1.69452e30 q^{85} +(1.66673e31 + 9.62288e30i) q^{86} +(-1.09571e31 + 6.04673e30i) q^{87} +(2.82492e31 + 4.89290e31i) q^{88} +(-2.30046e30 - 1.32817e30i) q^{89} +(-5.72881e31 - 2.21604e30i) q^{90} +(-6.42854e29 - 1.29640e29i) q^{91} -2.97804e31i q^{92} +(-1.99481e31 + 3.30584e31i) q^{93} +(-4.42093e31 - 7.65727e31i) q^{94} +(-1.86343e31 + 1.07585e31i) q^{95} +(1.94494e32 + 1.17362e32i) q^{96} +5.83905e30 q^{97} +(-8.52970e31 - 1.12388e32i) q^{98} +(4.09788e30 - 1.05936e32i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −110635. 63875.0i −1.68815 0.974654i −0.955933 0.293584i \(-0.905152\pi\)
−0.732217 0.681071i \(-0.761515\pi\)
\(3\) 2.07987e7 + 3.76886e7i 0.483166 + 0.875529i
\(4\) 6.01253e9 + 1.04140e10i 1.39990 + 2.42470i
\(5\) −2.09739e11 1.21093e11i −1.37454 0.793593i −0.383048 0.923729i \(-0.625126\pi\)
−0.991496 + 0.130135i \(0.958459\pi\)
\(6\) 1.06302e11 5.49819e12i 0.0376809 1.94894i
\(7\) −3.25771e13 6.56963e12i −0.980266 0.197684i
\(8\) 9.87520e14i 3.50838i
\(9\) −9.87847e14 + 1.56775e15i −0.533101 + 0.846051i
\(10\) 1.54696e16 + 2.67941e16i 1.54696 + 2.67941i
\(11\) −4.95473e16 + 2.86062e16i −1.07829 + 0.622554i −0.930436 0.366455i \(-0.880571\pi\)
−0.147859 + 0.989008i \(0.547238\pi\)
\(12\) −2.67437e17 + 4.43202e17i −1.44651 + 2.39719i
\(13\) 1.97333e16 0.0296556 0.0148278 0.999890i \(-0.495280\pi\)
0.0148278 + 0.999890i \(0.495280\pi\)
\(14\) 3.18452e18 + 2.80769e18i 1.46216 + 1.28914i
\(15\) 2.01525e17 1.04233e19i 0.0306809 1.58689i
\(16\) −3.72541e19 + 6.45261e19i −2.01955 + 3.49796i
\(17\) 6.05938e18 3.49839e18i 0.124522 0.0718927i −0.436445 0.899731i \(-0.643763\pi\)
0.560967 + 0.827838i \(0.310429\pi\)
\(18\) 2.09430e20 1.10349e20i 1.72456 0.908673i
\(19\) 4.44226e19 7.69422e19i 0.154009 0.266752i −0.778689 0.627410i \(-0.784115\pi\)
0.932698 + 0.360659i \(0.117448\pi\)
\(20\) 2.91230e21i 4.44381i
\(21\) −4.29961e20 1.36443e21i −0.300553 0.953765i
\(22\) 7.30887e21 2.42710
\(23\) −2.14473e21 1.23826e21i −0.349726 0.201914i 0.314839 0.949145i \(-0.398050\pi\)
−0.664565 + 0.747231i \(0.731383\pi\)
\(24\) 3.72183e22 2.05391e22i 3.07168 1.69513i
\(25\) 1.76854e22 + 3.06320e22i 0.759581 + 1.31563i
\(26\) −2.18319e21 1.26046e21i −0.0500631 0.0289039i
\(27\) −7.96323e22 4.62344e21i −0.998319 0.0579622i
\(28\) −1.27455e23 3.78759e23i −0.892951 2.65359i
\(29\) 2.90726e23i 1.16176i 0.813990 + 0.580880i \(0.197291\pi\)
−0.813990 + 0.580880i \(0.802709\pi\)
\(30\) −6.88086e23 + 1.14031e24i −1.59846 + 2.64901i
\(31\) 4.48474e23 + 7.76779e23i 0.616524 + 1.06785i 0.990115 + 0.140257i \(0.0447930\pi\)
−0.373591 + 0.927593i \(0.621874\pi\)
\(32\) 4.57007e24 2.63853e24i 3.78027 2.18254i
\(33\) −2.10865e24 1.27240e24i −1.06606 0.643281i
\(34\) −8.93837e23 −0.280282
\(35\) 6.03715e24 + 5.32276e24i 1.19054 + 1.04966i
\(36\) −2.22660e25 8.61305e23i −2.79771 0.108222i
\(37\) 2.07814e24 3.59944e24i 0.168441 0.291748i −0.769431 0.638730i \(-0.779460\pi\)
0.937872 + 0.346982i \(0.112793\pi\)
\(38\) −9.82936e24 + 5.67498e24i −0.519981 + 0.300211i
\(39\) 4.10427e23 + 7.43721e23i 0.0143286 + 0.0259643i
\(40\) −1.19581e26 + 2.07121e26i −2.78422 + 4.82242i
\(41\) 7.84777e25i 1.23085i 0.788196 + 0.615424i \(0.211015\pi\)
−0.788196 + 0.615424i \(0.788985\pi\)
\(42\) −3.95841e25 + 1.78417e26i −0.422213 + 1.90303i
\(43\) −1.50652e26 −1.10276 −0.551378 0.834256i \(-0.685898\pi\)
−0.551378 + 0.834256i \(0.685898\pi\)
\(44\) −5.95810e26 3.43991e26i −3.01901 1.74303i
\(45\) 3.97033e26 2.09197e26i 1.40419 0.739869i
\(46\) 1.58188e26 + 2.73989e26i 0.393593 + 0.681724i
\(47\) 5.99396e26 + 3.46061e26i 1.05718 + 0.610362i 0.924650 0.380818i \(-0.124357\pi\)
0.132527 + 0.991179i \(0.457691\pi\)
\(48\) −3.20674e27 6.19990e25i −4.03835 0.0780774i
\(49\) 1.01811e27 + 4.28039e26i 0.921842 + 0.387566i
\(50\) 4.51861e27i 2.96131i
\(51\) 2.57877e26 + 1.55608e26i 0.123109 + 0.0742863i
\(52\) 1.18647e26 + 2.05503e26i 0.0415149 + 0.0719059i
\(53\) −2.23143e27 + 1.28832e27i −0.575665 + 0.332360i −0.759409 0.650614i \(-0.774512\pi\)
0.183744 + 0.982974i \(0.441178\pi\)
\(54\) 8.51477e27 + 5.59802e27i 1.62882 + 1.07086i
\(55\) 1.38560e28 1.97622
\(56\) −6.48764e27 + 3.21705e28i −0.693551 + 3.43914i
\(57\) 3.82378e27 + 7.39289e25i 0.307961 + 0.00595411i
\(58\) 1.85701e28 3.21644e28i 1.13231 1.96122i
\(59\) −2.90883e28 + 1.67942e28i −1.34923 + 0.778980i −0.988141 0.153550i \(-0.950929\pi\)
−0.361092 + 0.932530i \(0.617596\pi\)
\(60\) 1.09761e29 6.05720e28i 3.89069 2.14710i
\(61\) −1.61940e28 + 2.80488e28i −0.440633 + 0.763198i −0.997737 0.0672445i \(-0.978579\pi\)
0.557104 + 0.830443i \(0.311913\pi\)
\(62\) 1.14585e29i 2.40359i
\(63\) 4.24807e28 4.45830e28i 0.689832 0.723969i
\(64\) −3.54133e29 −4.46979
\(65\) −4.13884e27 2.38956e27i −0.0407629 0.0235345i
\(66\) 1.52015e29 + 2.75461e29i 1.17269 + 2.12499i
\(67\) 1.27741e29 + 2.21255e29i 0.774703 + 1.34182i 0.934961 + 0.354749i \(0.115434\pi\)
−0.160259 + 0.987075i \(0.551233\pi\)
\(68\) 7.28645e28 + 4.20683e28i 0.348637 + 0.201286i
\(69\) 2.06074e27 1.06586e29i 0.00780616 0.403753i
\(70\) −3.27927e29 9.74504e29i −0.986753 2.93234i
\(71\) 1.09135e29i 0.261715i 0.991401 + 0.130857i \(0.0417730\pi\)
−0.991401 + 0.130857i \(0.958227\pi\)
\(72\) 1.54818e30 + 9.75519e29i 2.96827 + 1.87032i
\(73\) 3.56323e29 + 6.17169e29i 0.547871 + 0.948940i 0.998420 + 0.0561883i \(0.0178947\pi\)
−0.450550 + 0.892751i \(0.648772\pi\)
\(74\) −4.59828e29 + 2.65482e29i −0.568707 + 0.328343i
\(75\) −7.86644e29 + 1.30364e30i −0.784870 + 1.30070i
\(76\) 1.06837e30 0.862391
\(77\) 1.80204e30 6.06399e29i 1.18008 0.397106i
\(78\) 2.09769e27 1.08497e29i 0.00111745 0.0577970i
\(79\) 5.57190e29 9.65081e29i 0.242086 0.419305i −0.719222 0.694780i \(-0.755502\pi\)
0.961308 + 0.275475i \(0.0888351\pi\)
\(80\) 1.56273e31 9.02241e30i 5.55192 3.20540i
\(81\) −1.48200e30 3.09740e30i −0.431606 0.902062i
\(82\) 5.01276e30 8.68235e30i 1.19965 2.07786i
\(83\) 6.90786e29i 0.136174i 0.997679 + 0.0680869i \(0.0216895\pi\)
−0.997679 + 0.0680869i \(0.978310\pi\)
\(84\) 1.16240e31 1.26813e31i 1.89185 2.06393i
\(85\) −1.69452e30 −0.228214
\(86\) 1.66673e31 + 9.62288e30i 1.86162 + 1.07481i
\(87\) −1.09571e31 + 6.04673e30i −1.01715 + 0.561322i
\(88\) 2.82492e31 + 4.89290e31i 2.18415 + 3.78306i
\(89\) −2.30046e30 1.32817e30i −0.148448 0.0857064i 0.423936 0.905692i \(-0.360648\pi\)
−0.572384 + 0.819986i \(0.693981\pi\)
\(90\) −5.72881e31 2.21604e30i −3.09160 0.119591i
\(91\) −6.42854e29 1.29640e29i −0.0290703 0.00586244i
\(92\) 2.97804e31i 1.13064i
\(93\) −1.99481e31 + 3.30584e31i −0.637051 + 1.05573i
\(94\) −4.42093e31 7.65727e31i −1.18978 2.06077i
\(95\) −1.86343e31 + 1.07585e31i −0.423384 + 0.244441i
\(96\) 1.94494e32 + 1.17362e32i 3.73738 + 2.25521i
\(97\) 5.83905e30 0.0950593 0.0475297 0.998870i \(-0.484865\pi\)
0.0475297 + 0.998870i \(0.484865\pi\)
\(98\) −8.52970e31 1.12388e32i −1.17846 1.55275i
\(99\) 4.09788e30 1.05936e32i 0.0481278 1.24418i
\(100\) −2.12668e32 + 3.68351e32i −2.12668 + 3.68351i
\(101\) −1.23395e32 + 7.12421e31i −1.05234 + 0.607568i −0.923303 0.384072i \(-0.874521\pi\)
−0.129035 + 0.991640i \(0.541188\pi\)
\(102\) −1.85907e31 3.36875e31i −0.135423 0.245395i
\(103\) 1.00778e32 1.74552e32i 0.628012 1.08775i −0.359938 0.932976i \(-0.617202\pi\)
0.987950 0.154773i \(-0.0494646\pi\)
\(104\) 1.94870e31i 0.104043i
\(105\) −7.50426e31 + 3.38238e32i −0.343779 + 1.54951i
\(106\) 3.29165e32 1.29575
\(107\) 9.69268e29 + 5.59607e29i 0.00328325 + 0.00189558i 0.501641 0.865076i \(-0.332730\pi\)
−0.498357 + 0.866972i \(0.666063\pi\)
\(108\) −4.30644e32 8.57091e32i −1.25701 2.50177i
\(109\) 3.13025e32 + 5.42175e32i 0.788416 + 1.36558i 0.926937 + 0.375217i \(0.122432\pi\)
−0.138522 + 0.990359i \(0.544235\pi\)
\(110\) −1.53295e33 8.85051e32i −3.33615 1.92613i
\(111\) 1.78881e32 + 3.45848e30i 0.336818 + 0.00651205i
\(112\) 1.63754e33 1.85733e33i 2.67119 3.02970i
\(113\) 6.68245e32i 0.945541i 0.881186 + 0.472771i \(0.156746\pi\)
−0.881186 + 0.472771i \(0.843254\pi\)
\(114\) −4.18320e32 2.52423e32i −0.514081 0.310207i
\(115\) 2.99889e32 + 5.19423e32i 0.320476 + 0.555080i
\(116\) −3.02763e33 + 1.74800e33i −2.81692 + 1.62635i
\(117\) −1.94935e31 + 3.09369e31i −0.0158094 + 0.0250901i
\(118\) 4.29091e33 3.03694
\(119\) −2.20380e32 + 7.41594e31i −0.136277 + 0.0458580i
\(120\) −1.02933e34 1.99010e32i −5.56741 0.107640i
\(121\) 5.80937e32 1.00621e33i 0.275146 0.476567i
\(122\) 3.58324e33 2.06878e33i 1.48771 0.858929i
\(123\) −2.95772e33 + 1.63223e33i −1.07764 + 0.594704i
\(124\) −5.39293e33 + 9.34083e33i −1.72615 + 2.98977i
\(125\) 2.92746e33i 0.824006i
\(126\) −7.54758e33 + 2.21897e33i −1.87016 + 0.549822i
\(127\) −5.03517e33 −1.09940 −0.549698 0.835363i \(-0.685257\pi\)
−0.549698 + 0.835363i \(0.685257\pi\)
\(128\) 1.95511e34 + 1.12878e34i 3.76541 + 2.17396i
\(129\) −3.13337e33 5.67787e33i −0.532814 0.965494i
\(130\) 3.05266e32 + 5.28736e32i 0.0458759 + 0.0794594i
\(131\) 5.51015e33 + 3.18128e33i 0.732525 + 0.422923i 0.819345 0.573301i \(-0.194337\pi\)
−0.0868202 + 0.996224i \(0.527671\pi\)
\(132\) 5.72477e32 2.96099e34i 0.0673868 3.48541i
\(133\) −1.95264e33 + 2.21471e33i −0.203702 + 0.231042i
\(134\) 3.26379e34i 3.02027i
\(135\) 1.61421e34 + 1.06126e34i 1.32623 + 0.871931i
\(136\) −3.45472e33 5.98376e33i −0.252227 0.436869i
\(137\) 6.87325e33 3.96827e33i 0.446306 0.257675i −0.259963 0.965619i \(-0.583710\pi\)
0.706269 + 0.707944i \(0.250377\pi\)
\(138\) −7.03618e33 + 1.16605e34i −0.406698 + 0.673988i
\(139\) 4.59929e33 0.236839 0.118420 0.992964i \(-0.462217\pi\)
0.118420 + 0.992964i \(0.462217\pi\)
\(140\) −1.91327e34 + 9.48742e34i −0.878472 + 4.35612i
\(141\) −5.75922e32 + 2.97880e34i −0.0235970 + 1.22050i
\(142\) 6.97096e33 1.20741e34i 0.255082 0.441814i
\(143\) −9.77733e32 + 5.64494e32i −0.0319774 + 0.0184622i
\(144\) −6.43593e34 1.22147e35i −1.88283 3.57341i
\(145\) 3.52048e34 6.09765e34i 0.921964 1.59689i
\(146\) 9.10404e34i 2.13594i
\(147\) 5.04312e33 + 4.72738e34i 0.106077 + 0.994358i
\(148\) 4.99795e34 0.943202
\(149\) 9.98673e34 + 5.76584e34i 1.69217 + 0.976973i 0.952766 + 0.303707i \(0.0982243\pi\)
0.739401 + 0.673266i \(0.235109\pi\)
\(150\) 1.70300e35 9.39812e34i 2.59272 1.43081i
\(151\) 3.37207e34 + 5.84060e34i 0.461600 + 0.799515i 0.999041 0.0437868i \(-0.0139422\pi\)
−0.537441 + 0.843301i \(0.680609\pi\)
\(152\) −7.59819e34 4.38682e34i −0.935864 0.540322i
\(153\) −5.01149e32 + 1.29555e34i −0.00555781 + 0.143678i
\(154\) −2.38102e35 4.80166e34i −2.37920 0.479799i
\(155\) 2.17228e35i 1.95708i
\(156\) −5.27742e33 + 8.74585e33i −0.0428971 + 0.0710900i
\(157\) 5.03560e34 + 8.72191e34i 0.369536 + 0.640055i 0.989493 0.144581i \(-0.0461834\pi\)
−0.619957 + 0.784636i \(0.712850\pi\)
\(158\) −1.23289e35 + 7.11809e34i −0.817355 + 0.471900i
\(159\) −9.49658e34 5.73043e34i −0.569133 0.343426i
\(160\) −1.27803e36 −6.92820
\(161\) 6.17343e34 + 5.44291e34i 0.302909 + 0.267065i
\(162\) −3.38856e34 + 4.37342e35i −0.150583 + 1.94348i
\(163\) 1.36099e35 2.35731e35i 0.548093 0.949325i −0.450312 0.892871i \(-0.648687\pi\)
0.998405 0.0564537i \(-0.0179793\pi\)
\(164\) −8.17268e35 + 4.71850e35i −2.98444 + 1.72307i
\(165\) 2.88187e35 + 5.22214e35i 0.954841 + 1.73024i
\(166\) 4.41239e34 7.64248e34i 0.132722 0.229882i
\(167\) 1.10290e35i 0.301351i −0.988583 0.150675i \(-0.951855\pi\)
0.988583 0.150675i \(-0.0481448\pi\)
\(168\) −1.34740e36 + 4.24595e35i −3.34617 + 1.05445i
\(169\) −4.42390e35 −0.999121
\(170\) 1.87472e35 + 1.08237e35i 0.385260 + 0.222430i
\(171\) 7.67434e34 + 1.45651e35i 0.143583 + 0.272505i
\(172\) −9.05800e35 1.56889e36i −1.54375 2.67385i
\(173\) 1.88035e35 + 1.08562e35i 0.292079 + 0.168632i 0.638879 0.769307i \(-0.279398\pi\)
−0.346800 + 0.937939i \(0.612732\pi\)
\(174\) 1.59847e36 + 3.09047e34i 2.26420 + 0.0437761i
\(175\) −3.74897e35 1.11409e36i −0.484511 1.43983i
\(176\) 4.26279e36i 5.02911i
\(177\) −1.23795e36 7.47003e35i −1.33392 0.804915i
\(178\) 1.69674e35 + 2.93883e35i 0.167068 + 0.289371i
\(179\) −5.51436e35 + 3.18371e35i −0.496417 + 0.286606i −0.727233 0.686391i \(-0.759194\pi\)
0.230816 + 0.972997i \(0.425860\pi\)
\(180\) 4.56575e36 + 2.87691e36i 3.75969 + 2.36900i
\(181\) −1.11387e36 −0.839418 −0.419709 0.907659i \(-0.637868\pi\)
−0.419709 + 0.907659i \(0.637868\pi\)
\(182\) 6.28411e34 + 5.54050e34i 0.0433612 + 0.0382302i
\(183\) −1.39394e36 2.69504e34i −0.881101 0.0170352i
\(184\) −1.22281e36 + 2.11797e36i −0.708391 + 1.22697i
\(185\) −8.71733e35 + 5.03295e35i −0.463058 + 0.267347i
\(186\) 4.31855e36 2.38322e36i 2.10441 1.16133i
\(187\) −2.00151e35 + 3.46671e35i −0.0895141 + 0.155043i
\(188\) 8.32282e36i 3.41779i
\(189\) 2.56382e36 + 6.73773e35i 0.967159 + 0.254170i
\(190\) 2.74880e36 0.952982
\(191\) −3.81577e36 2.20303e36i −1.21632 0.702243i −0.252191 0.967677i \(-0.581151\pi\)
−0.964129 + 0.265435i \(0.914485\pi\)
\(192\) −7.36551e36 1.33468e37i −2.15965 3.91343i
\(193\) −2.11547e36 3.66410e36i −0.570807 0.988667i −0.996483 0.0837914i \(-0.973297\pi\)
0.425676 0.904876i \(-0.360036\pi\)
\(194\) −6.46002e35 3.72969e35i −0.160475 0.0926500i
\(195\) 3.97675e33 2.05687e35i 0.000909860 0.0470601i
\(196\) 1.66380e36 + 1.31762e37i 0.350756 + 2.77775i
\(197\) 2.32395e36i 0.451614i 0.974172 + 0.225807i \(0.0725018\pi\)
−0.974172 + 0.225807i \(0.927498\pi\)
\(198\) −7.22005e36 + 1.14585e37i −1.29389 + 2.05345i
\(199\) 3.43964e35 + 5.95764e35i 0.0568675 + 0.0984974i 0.893058 0.449942i \(-0.148555\pi\)
−0.836190 + 0.548440i \(0.815222\pi\)
\(200\) 3.02497e37 1.74647e37i 4.61573 2.66489i
\(201\) −5.68193e36 + 9.41622e36i −0.800496 + 1.32660i
\(202\) 1.82023e37 2.36867
\(203\) 1.90996e36 9.47101e36i 0.229662 1.13883i
\(204\) −7.00109e34 + 3.62113e36i −0.00778185 + 0.402496i
\(205\) 9.50307e36 1.64598e37i 0.976793 1.69185i
\(206\) −2.22990e37 + 1.28743e37i −2.12036 + 1.22419i
\(207\) 4.05995e36 2.13919e36i 0.357269 0.188245i
\(208\) −7.35147e35 + 1.27331e36i −0.0598909 + 0.103734i
\(209\) 5.08304e36i 0.383516i
\(210\) 2.99073e37 3.26275e37i 2.09059 2.28074i
\(211\) 4.84322e36 0.313773 0.156886 0.987617i \(-0.449854\pi\)
0.156886 + 0.987617i \(0.449854\pi\)
\(212\) −2.68331e37 1.54921e37i −1.61175 0.930544i
\(213\) −4.11313e36 + 2.26986e36i −0.229139 + 0.126452i
\(214\) −7.14897e34 1.23824e35i −0.00369508 0.00640006i
\(215\) 3.15975e37 + 1.82429e37i 1.51579 + 0.875140i
\(216\) −4.56574e36 + 7.86385e37i −0.203353 + 3.50248i
\(217\) −9.50682e36 2.82515e37i −0.393260 1.16865i
\(218\) 7.99779e37i 3.07373i
\(219\) −1.58492e37 + 2.62657e37i −0.566112 + 0.938172i
\(220\) 8.33097e37 + 1.44297e38i 2.76651 + 4.79174i
\(221\) 1.19572e35 6.90347e34i 0.00369276 0.00213202i
\(222\) −1.95695e37 1.18086e37i −0.562253 0.339275i
\(223\) −5.30354e37 −1.41804 −0.709020 0.705189i \(-0.750862\pi\)
−0.709020 + 0.705189i \(0.750862\pi\)
\(224\) −1.66214e38 + 5.59320e37i −4.13712 + 1.39217i
\(225\) −6.54937e37 2.53346e36i −1.51803 0.0587210i
\(226\) 4.26841e37 7.39310e37i 0.921576 1.59622i
\(227\) 1.72449e37 9.95634e36i 0.346934 0.200302i −0.316400 0.948626i \(-0.602474\pi\)
0.663334 + 0.748323i \(0.269141\pi\)
\(228\) 2.22207e37 + 4.02654e37i 0.416678 + 0.755048i
\(229\) −3.62047e37 + 6.27083e37i −0.632990 + 1.09637i 0.353947 + 0.935265i \(0.384839\pi\)
−0.986937 + 0.161105i \(0.948494\pi\)
\(230\) 7.66216e37i 1.24941i
\(231\) 6.03345e37 + 5.53042e37i 0.917854 + 0.841330i
\(232\) 2.87098e38 4.07589
\(233\) −5.88215e37 3.39606e37i −0.779545 0.450070i 0.0567241 0.998390i \(-0.481934\pi\)
−0.836269 + 0.548319i \(0.815268\pi\)
\(234\) 4.13275e36 2.17755e36i 0.0511429 0.0269472i
\(235\) −8.38110e37 1.45165e38i −0.968758 1.67794i
\(236\) −3.49789e38 2.01951e38i −3.77759 2.18099i
\(237\) 4.79614e37 + 9.27286e35i 0.484081 + 0.00935923i
\(238\) 2.91186e37 + 5.87218e36i 0.274751 + 0.0554074i
\(239\) 1.05971e38i 0.935021i 0.883987 + 0.467511i \(0.154849\pi\)
−0.883987 + 0.467511i \(0.845151\pi\)
\(240\) 6.65070e38 + 4.01316e38i 5.48892 + 3.31213i
\(241\) 5.17303e37 + 8.95995e37i 0.399459 + 0.691884i 0.993659 0.112434i \(-0.0358646\pi\)
−0.594200 + 0.804317i \(0.702531\pi\)
\(242\) −1.28544e38 + 7.42147e37i −0.928976 + 0.536345i
\(243\) 8.59130e37 1.20276e38i 0.581244 0.813729i
\(244\) −3.89468e38 −2.46737
\(245\) −1.61704e38 2.13062e38i −0.959542 1.26429i
\(246\) 4.31485e38 + 8.34232e36i 2.39885 + 0.0463794i
\(247\) 8.76604e35 1.51832e36i 0.00456722 0.00791067i
\(248\) 7.67085e38 4.42877e38i 3.74642 2.16300i
\(249\) −2.60348e37 + 1.43675e37i −0.119224 + 0.0657946i
\(250\) −1.86991e38 + 3.23878e38i −0.803121 + 1.39105i
\(251\) 2.97914e38i 1.20036i −0.799865 0.600180i \(-0.795096\pi\)
0.799865 0.600180i \(-0.204904\pi\)
\(252\) 7.19705e38 + 1.74338e38i 2.72111 + 0.659150i
\(253\) 1.41688e38 0.502810
\(254\) 5.57064e38 + 3.21621e38i 1.85595 + 1.07153i
\(255\) −3.52437e37 6.38640e37i −0.110265 0.199808i
\(256\) −6.81525e38 1.18044e39i −2.00282 3.46899i
\(257\) −2.24165e38 1.29422e38i −0.618924 0.357336i 0.157526 0.987515i \(-0.449648\pi\)
−0.776450 + 0.630179i \(0.782982\pi\)
\(258\) −1.60146e37 + 8.28312e38i −0.0415528 + 2.14921i
\(259\) −9.13468e37 + 1.03607e38i −0.222791 + 0.252692i
\(260\) 5.74692e37i 0.131784i
\(261\) −4.55786e38 2.87193e38i −0.982908 0.619335i
\(262\) −4.06409e38 7.03921e38i −0.824408 1.42792i
\(263\) 1.34398e38 7.75948e37i 0.256508 0.148095i −0.366232 0.930523i \(-0.619353\pi\)
0.622741 + 0.782428i \(0.286019\pi\)
\(264\) −1.25652e39 + 2.08233e39i −2.25687 + 3.74013i
\(265\) 6.24024e38 1.05504
\(266\) 3.57494e38 1.20299e38i 0.569067 0.191495i
\(267\) 2.21037e36 1.14325e38i 0.00331348 0.171381i
\(268\) −1.53610e39 + 2.66060e39i −2.16902 + 3.75685i
\(269\) −6.85958e38 + 3.96038e38i −0.912560 + 0.526867i −0.881254 0.472643i \(-0.843300\pi\)
−0.0313058 + 0.999510i \(0.509967\pi\)
\(270\) −1.10800e39 2.20520e39i −1.38905 2.76457i
\(271\) −9.80088e37 + 1.69756e38i −0.115813 + 0.200594i −0.918104 0.396339i \(-0.870281\pi\)
0.802292 + 0.596932i \(0.203614\pi\)
\(272\) 5.21317e38i 0.580764i
\(273\) −8.48456e36 2.69246e37i −0.00891306 0.0282844i
\(274\) −1.01389e39 −1.00458
\(275\) −1.75253e39 1.01182e39i −1.63810 0.945759i
\(276\) 1.12238e39 6.19393e38i 0.989909 0.546287i
\(277\) 1.12054e38 + 1.94083e38i 0.0932718 + 0.161551i 0.908886 0.417045i \(-0.136934\pi\)
−0.815614 + 0.578596i \(0.803601\pi\)
\(278\) −5.08840e38 2.93779e38i −0.399820 0.230836i
\(279\) −1.66082e39 6.42446e37i −1.23213 0.0476617i
\(280\) 5.25633e39 5.96180e39i 3.68259 4.17685i
\(281\) 7.32129e38i 0.484492i −0.970215 0.242246i \(-0.922116\pi\)
0.970215 0.242246i \(-0.0778841\pi\)
\(282\) 1.96643e39 3.25880e39i 1.22940 2.03738i
\(283\) 9.22303e37 + 1.59748e38i 0.0544867 + 0.0943738i 0.891982 0.452070i \(-0.149314\pi\)
−0.837496 + 0.546444i \(0.815981\pi\)
\(284\) −1.13653e39 + 6.56175e38i −0.634581 + 0.366375i
\(285\) −7.93042e38 4.78538e38i −0.418580 0.252580i
\(286\) 1.44228e38 0.0719770
\(287\) 5.15569e38 2.55657e39i 0.243319 1.20656i
\(288\) −3.77973e38 + 9.77119e39i −0.168726 + 4.36182i
\(289\) −1.15948e39 + 2.00828e39i −0.489663 + 0.848121i
\(290\) −7.78975e39 + 4.49741e39i −3.11283 + 1.79719i
\(291\) 1.21445e38 + 2.20066e38i 0.0459294 + 0.0832272i
\(292\) −4.28481e39 + 7.42150e39i −1.53393 + 2.65685i
\(293\) 1.13971e39i 0.386289i 0.981170 + 0.193144i \(0.0618686\pi\)
−0.981170 + 0.193144i \(0.938131\pi\)
\(294\) 2.46166e39 5.55224e39i 0.790081 1.78201i
\(295\) 8.13461e39 2.47277
\(296\) −3.55452e39 2.05220e39i −1.02356 0.590953i
\(297\) 4.07783e39 2.04890e39i 1.11257 0.559007i
\(298\) −7.36586e39 1.27580e40i −1.90442 3.29855i
\(299\) −4.23227e37 2.44350e37i −0.0103713 0.00598788i
\(300\) −1.83059e40 3.53926e38i −4.25256 0.0822190i
\(301\) 4.90780e39 + 9.89727e38i 1.08099 + 0.217998i
\(302\) 8.61564e39i 1.79960i
\(303\) −5.25147e39 3.16884e39i −1.04040 0.627796i
\(304\) 3.30985e39 + 5.73283e39i 0.622058 + 1.07744i
\(305\) 6.79302e39 3.92195e39i 1.21134 0.699367i
\(306\) 8.82974e38 1.40131e39i 0.149419 0.237133i
\(307\) −3.13037e39 −0.502785 −0.251392 0.967885i \(-0.580888\pi\)
−0.251392 + 0.967885i \(0.580888\pi\)
\(308\) 1.71499e40 + 1.51205e40i 2.61487 + 2.30544i
\(309\) 8.67466e39 + 1.67716e38i 1.25579 + 0.0242794i
\(310\) −1.38754e40 + 2.40329e40i −1.90747 + 3.30384i
\(311\) 1.88169e39 1.08639e39i 0.245687 0.141847i −0.372101 0.928192i \(-0.621362\pi\)
0.617788 + 0.786345i \(0.288029\pi\)
\(312\) 7.34440e38 4.05305e38i 0.0910925 0.0502700i
\(313\) −2.20501e39 + 3.81919e39i −0.259837 + 0.450051i −0.966198 0.257801i \(-0.917002\pi\)
0.706361 + 0.707852i \(0.250336\pi\)
\(314\) 1.28659e40i 1.44068i
\(315\) −1.43085e40 + 4.20667e39i −1.52274 + 0.447682i
\(316\) 1.34005e40 1.35559
\(317\) −4.83956e39 2.79412e39i −0.465434 0.268718i 0.248892 0.968531i \(-0.419933\pi\)
−0.714326 + 0.699813i \(0.753267\pi\)
\(318\) 6.84621e39 + 1.24058e40i 0.626060 + 1.13446i
\(319\) −8.31656e39 1.44047e40i −0.723257 1.25272i
\(320\) 7.42755e40 + 4.28830e40i 6.14392 + 3.54720i
\(321\) −9.31308e35 + 4.81695e37i −7.32847e−5 + 0.00379046i
\(322\) −3.35329e39 9.96502e39i −0.251060 0.746078i
\(323\) 6.21629e38i 0.0442885i
\(324\) 2.33458e40 3.40568e40i 1.58303 2.30932i
\(325\) 3.48991e38 + 6.04470e38i 0.0225258 + 0.0390158i
\(326\) −3.01146e40 + 1.73867e40i −1.85053 + 1.06840i
\(327\) −1.39233e40 + 2.30740e40i −0.814665 + 1.35008i
\(328\) 7.74982e40 4.31828
\(329\) −1.72531e40 1.52115e40i −0.915656 0.807304i
\(330\) 1.47292e39 7.61829e40i 0.0744656 3.85154i
\(331\) 2.01103e40 3.48321e40i 0.968660 1.67777i 0.269216 0.963080i \(-0.413235\pi\)
0.699444 0.714688i \(-0.253431\pi\)
\(332\) −7.19385e39 + 4.15337e39i −0.330181 + 0.190630i
\(333\) 3.59014e39 + 6.81370e39i 0.157038 + 0.298041i
\(334\) −7.04476e39 + 1.22019e40i −0.293713 + 0.508726i
\(335\) 6.18743e40i 2.45920i
\(336\) 1.04059e41 + 2.30868e40i 3.94322 + 0.874854i
\(337\) −4.88422e40 −1.76488 −0.882442 0.470420i \(-0.844102\pi\)
−0.882442 + 0.470420i \(0.844102\pi\)
\(338\) 4.89437e40 + 2.82576e40i 1.68667 + 0.973797i
\(339\) −2.51852e40 + 1.38986e40i −0.827849 + 0.456853i
\(340\) −1.01883e40 1.76467e40i −0.319478 0.553352i
\(341\) −4.44414e40 2.56582e40i −1.32959 0.767638i
\(342\) 8.12950e38 2.10160e40i 0.0232084 0.599974i
\(343\) −3.03549e40 2.06329e40i −0.827034 0.562152i
\(344\) 1.48772e41i 3.86888i
\(345\) −1.33390e40 + 2.21057e40i −0.331146 + 0.548782i
\(346\) −1.38688e40 2.40214e40i −0.328715 0.569352i
\(347\) −6.49960e40 + 3.75255e40i −1.47101 + 0.849287i −0.999470 0.0325589i \(-0.989634\pi\)
−0.471538 + 0.881846i \(0.656301\pi\)
\(348\) −1.28851e41 7.77510e40i −2.78496 1.68050i
\(349\) −5.35032e39 −0.110452 −0.0552260 0.998474i \(-0.517588\pi\)
−0.0552260 + 0.998474i \(0.517588\pi\)
\(350\) −2.96856e40 + 1.47203e41i −0.585405 + 2.90288i
\(351\) −1.57141e39 9.12358e37i −0.0296057 0.00171890i
\(352\) −1.50956e41 + 2.61464e41i −2.71750 + 4.70684i
\(353\) 4.96146e40 2.86450e40i 0.853520 0.492780i −0.00831674 0.999965i \(-0.502647\pi\)
0.861837 + 0.507185i \(0.169314\pi\)
\(354\) 8.92453e40 + 1.61718e41i 1.46735 + 2.65893i
\(355\) 1.32154e40 2.28897e40i 0.207695 0.359739i
\(356\) 3.19427e40i 0.479923i
\(357\) −7.37859e39 6.76341e39i −0.105994 0.0971570i
\(358\) 8.13439e40 1.11737
\(359\) −7.89917e40 4.56059e40i −1.03770 0.599114i −0.118516 0.992952i \(-0.537814\pi\)
−0.919180 + 0.393838i \(0.871147\pi\)
\(360\) −2.06586e41 3.92078e41i −2.59574 4.92643i
\(361\) 3.76525e40 + 6.52160e40i 0.452562 + 0.783861i
\(362\) 1.23233e41 + 7.11485e40i 1.41706 + 0.818142i
\(363\) 5.00055e40 + 9.66807e38i 0.550189 + 0.0106374i
\(364\) −2.51510e39 7.47416e39i −0.0264810 0.0786937i
\(365\) 1.72592e41i 1.73915i
\(366\) 1.52496e41 + 9.20193e40i 1.47083 + 0.887527i
\(367\) 3.90945e40 + 6.77137e40i 0.360960 + 0.625201i 0.988119 0.153690i \(-0.0491158\pi\)
−0.627159 + 0.778891i \(0.715782\pi\)
\(368\) 1.59800e41 9.22608e40i 1.41258 0.815553i
\(369\) −1.23033e41 7.75240e40i −1.04136 0.656167i
\(370\) 1.28592e41 1.04228
\(371\) 8.11574e40 2.73100e40i 0.630007 0.212001i
\(372\) −4.64209e41 8.97501e39i −3.45165 0.0667341i
\(373\) 3.95086e37 6.84309e37i 0.000281417 0.000487429i −0.865885 0.500244i \(-0.833244\pi\)
0.866166 + 0.499756i \(0.166577\pi\)
\(374\) 4.42872e40 2.55692e40i 0.302227 0.174491i
\(375\) 1.10332e41 6.08874e40i 0.721441 0.398132i
\(376\) 3.41742e41 5.91915e41i 2.14138 3.70897i
\(377\) 5.73699e39i 0.0344526i
\(378\) −2.40610e41 2.38306e41i −1.38498 1.37172i
\(379\) 1.95293e41 1.07761 0.538803 0.842432i \(-0.318877\pi\)
0.538803 + 0.842432i \(0.318877\pi\)
\(380\) −2.24079e41 1.29372e41i −1.18539 0.684387i
\(381\) −1.04725e41 1.89769e41i −0.531191 0.962553i
\(382\) 2.81437e41 + 4.87464e41i 1.36889 + 2.37098i
\(383\) 2.66904e41 + 1.54097e41i 1.24502 + 0.718811i 0.970111 0.242660i \(-0.0780200\pi\)
0.274906 + 0.961471i \(0.411353\pi\)
\(384\) −1.87854e40 + 9.71628e41i −0.0840469 + 4.34711i
\(385\) −4.51388e41 9.10288e40i −1.93722 0.390667i
\(386\) 5.40502e41i 2.22536i
\(387\) 1.48821e41 2.36185e41i 0.587880 0.932988i
\(388\) 3.51075e40 + 6.08080e40i 0.133074 + 0.230491i
\(389\) 8.55072e40 4.93676e40i 0.311035 0.179576i −0.336355 0.941735i \(-0.609194\pi\)
0.647389 + 0.762159i \(0.275861\pi\)
\(390\) −1.35782e40 + 2.25021e40i −0.0474033 + 0.0785578i
\(391\) −1.73277e40 −0.0580647
\(392\) 4.22697e41 1.00540e42i 1.35973 3.23417i
\(393\) −5.29435e39 + 2.73837e41i −0.0163505 + 0.845689i
\(394\) 1.48442e41 2.57109e41i 0.440167 0.762392i
\(395\) −2.33729e41 + 1.34943e41i −0.665516 + 0.384236i
\(396\) 1.12786e42 5.94271e41i 3.08413 1.62503i
\(397\) −2.88426e41 + 4.99569e41i −0.757506 + 1.31204i 0.186612 + 0.982434i \(0.440249\pi\)
−0.944119 + 0.329606i \(0.893084\pi\)
\(398\) 8.78828e40i 0.221705i
\(399\) −1.24082e41 2.75292e40i −0.300706 0.0667156i
\(400\) −2.63541e42 −6.13605
\(401\) −2.61766e41 1.51131e41i −0.585603 0.338098i 0.177754 0.984075i \(-0.443117\pi\)
−0.763357 + 0.645977i \(0.776450\pi\)
\(402\) 1.23008e42 6.78827e41i 2.64433 1.45929i
\(403\) 8.84987e39 + 1.53284e40i 0.0182834 + 0.0316677i
\(404\) −1.48383e42 8.56691e41i −2.94634 1.70107i
\(405\) −6.42396e40 + 8.29103e41i −0.122609 + 1.58244i
\(406\) −8.16269e41 + 9.25824e41i −1.49767 + 1.69868i
\(407\) 2.37790e41i 0.419453i
\(408\) 1.53666e41 2.54658e41i 0.260624 0.431912i
\(409\) −1.47658e41 2.55751e41i −0.240815 0.417105i 0.720131 0.693838i \(-0.244082\pi\)
−0.960947 + 0.276733i \(0.910748\pi\)
\(410\) −2.10274e42 + 1.21402e42i −3.29795 + 1.90407i
\(411\) 2.92514e41 + 1.76509e41i 0.441242 + 0.266254i
\(412\) 2.42371e42 3.51662
\(413\) 1.05795e42 3.56006e41i 1.47660 0.496885i
\(414\) −5.85812e41 2.26607e40i −0.786598 0.0304276i
\(415\) 8.36491e40 1.44885e41i 0.108067 0.187177i
\(416\) 9.01825e40 5.20669e40i 0.112106 0.0647245i
\(417\) 9.56592e40 + 1.73341e41i 0.114433 + 0.207360i
\(418\) 3.24679e41 5.62361e41i 0.373795 0.647432i
\(419\) 2.22727e41i 0.246802i −0.992357 0.123401i \(-0.960620\pi\)
0.992357 0.123401i \(-0.0393801\pi\)
\(420\) −3.97362e42 + 1.25218e42i −4.23835 + 1.33560i
\(421\) 1.81558e42 1.86424 0.932118 0.362155i \(-0.117959\pi\)
0.932118 + 0.362155i \(0.117959\pi\)
\(422\) −5.35828e41 3.09360e41i −0.529695 0.305820i
\(423\) −1.13465e42 + 5.97847e41i −1.07998 + 0.569042i
\(424\) 1.27224e42 + 2.20358e42i 1.16604 + 2.01965i
\(425\) 2.14325e41 + 1.23740e41i 0.189169 + 0.109217i
\(426\) 6.00042e41 + 1.16012e40i 0.510068 + 0.00986165i
\(427\) 7.11824e41 8.07361e41i 0.582810 0.661031i
\(428\) 1.34586e40i 0.0106145i
\(429\) −4.16106e40 2.51087e40i −0.0316146 0.0190769i
\(430\) −2.33052e42 4.03658e42i −1.70592 2.95474i
\(431\) 4.36485e41 2.52005e41i 0.307846 0.177735i −0.338116 0.941104i \(-0.609790\pi\)
0.645962 + 0.763369i \(0.276456\pi\)
\(432\) 3.26497e42 4.96612e42i 2.21891 3.37503i
\(433\) −6.65985e41 −0.436172 −0.218086 0.975930i \(-0.569981\pi\)
−0.218086 + 0.975930i \(0.569981\pi\)
\(434\) −7.52781e41 + 3.73285e42i −0.475152 + 2.35616i
\(435\) 3.03034e42 + 5.85885e40i 1.84358 + 0.0356438i
\(436\) −3.76415e42 + 6.51970e42i −2.20741 + 3.82335i
\(437\) −1.90549e41 + 1.10014e41i −0.107722 + 0.0621933i
\(438\) 3.43119e42 1.89352e42i 1.87008 1.03201i
\(439\) −1.55543e42 + 2.69409e42i −0.817371 + 1.41573i 0.0902419 + 0.995920i \(0.471236\pi\)
−0.907613 + 0.419808i \(0.862097\pi\)
\(440\) 1.36831e43i 6.93331i
\(441\) −1.67679e42 + 1.17330e42i −0.819336 + 0.573314i
\(442\) −1.76383e40 −0.00831192
\(443\) 1.13426e42 + 6.54863e41i 0.515527 + 0.297640i 0.735103 0.677956i \(-0.237134\pi\)
−0.219576 + 0.975595i \(0.570467\pi\)
\(444\) 1.03951e42 + 1.88366e42i 0.455723 + 0.825801i
\(445\) 3.21663e41 + 5.57137e41i 0.136032 + 0.235615i
\(446\) 5.86756e42 + 3.38764e42i 2.39387 + 1.38210i
\(447\) −9.59562e40 + 4.96308e42i −0.0377705 + 1.95358i
\(448\) 1.15366e43 + 2.32652e42i 4.38158 + 0.883607i
\(449\) 1.10064e42i 0.403371i 0.979450 + 0.201685i \(0.0646419\pi\)
−0.979450 + 0.201685i \(0.935358\pi\)
\(450\) 7.08405e42 + 4.46370e42i 2.50542 + 1.57868i
\(451\) −2.24495e42 3.88836e42i −0.766269 1.32722i
\(452\) −6.95911e42 + 4.01785e42i −2.29266 + 1.32367i
\(453\) −1.49990e42 + 2.48566e42i −0.476969 + 0.790442i
\(454\) −2.54384e42 −0.780903
\(455\) 1.19133e41 + 1.05036e41i 0.0353061 + 0.0311282i
\(456\) 7.30063e40 3.77606e42i 0.0208892 1.08044i
\(457\) 2.75372e42 4.76958e42i 0.760783 1.31771i −0.181665 0.983361i \(-0.558149\pi\)
0.942448 0.334354i \(-0.108518\pi\)
\(458\) 8.01098e42 4.62514e42i 2.13716 1.23389i
\(459\) −4.98697e41 + 2.50569e41i −0.128480 + 0.0645543i
\(460\) −3.60619e42 + 6.24610e42i −0.897269 + 1.55412i
\(461\) 7.71670e41i 0.185446i −0.995692 0.0927229i \(-0.970443\pi\)
0.995692 0.0927229i \(-0.0295571\pi\)
\(462\) −3.14253e42 9.97242e42i −0.729471 2.31488i
\(463\) −9.39064e40 −0.0210571 −0.0105286 0.999945i \(-0.503351\pi\)
−0.0105286 + 0.999945i \(0.503351\pi\)
\(464\) −1.87594e43 1.08308e43i −4.06379 2.34623i
\(465\) 8.18701e42 4.51805e42i 1.71348 0.945593i
\(466\) 4.33846e42 + 7.51444e42i 0.877326 + 1.51957i
\(467\) 8.06844e42 + 4.65832e42i 1.57659 + 0.910246i 0.995330 + 0.0965300i \(0.0307744\pi\)
0.581262 + 0.813716i \(0.302559\pi\)
\(468\) −4.39383e41 1.69964e40i −0.0829677 0.00320939i
\(469\) −2.70789e42 8.04705e42i −0.494157 1.46849i
\(470\) 2.14137e43i 3.77682i
\(471\) −2.23983e42 + 3.71189e42i −0.381839 + 0.632792i
\(472\) 1.65846e43 + 2.87253e43i 2.73295 + 4.73361i
\(473\) 7.46440e42 4.30957e42i 1.18910 0.686525i
\(474\) −5.24696e42 3.16612e42i −0.808081 0.487612i
\(475\) 3.14252e42 0.467929
\(476\) −2.09734e42 1.84916e42i −0.301966 0.266233i
\(477\) 1.84554e41 4.77099e42i 0.0256938 0.664224i
\(478\) 6.76891e42 1.17241e43i 0.911323 1.57846i
\(479\) −1.12443e43 + 6.49192e42i −1.46408 + 0.845288i −0.999196 0.0400829i \(-0.987238\pi\)
−0.464885 + 0.885371i \(0.653904\pi\)
\(480\) −2.65813e43 4.81671e43i −3.34747 6.06584i
\(481\) 4.10085e40 7.10289e40i 0.00499520 0.00865195i
\(482\) 1.32171e43i 1.55734i
\(483\) −7.67365e41 + 3.45874e42i −0.0874678 + 0.394242i
\(484\) 1.39716e43 1.54071
\(485\) −1.22468e42 7.07067e41i −0.130663 0.0754385i
\(486\) −1.71876e43 + 7.81905e42i −1.77433 + 0.807186i
\(487\) −2.58816e42 4.48282e42i −0.258540 0.447804i 0.707311 0.706902i \(-0.249908\pi\)
−0.965851 + 0.259099i \(0.916575\pi\)
\(488\) 2.76988e43 + 1.59919e43i 2.67759 + 1.54591i
\(489\) 1.17151e43 + 2.26499e41i 1.09598 + 0.0211897i
\(490\) 4.28078e42 + 3.39009e43i 0.387602 + 3.06954i
\(491\) 1.49861e43i 1.31337i 0.754167 + 0.656683i \(0.228041\pi\)
−0.754167 + 0.656683i \(0.771959\pi\)
\(492\) −3.47815e43 2.09878e43i −2.95057 1.78044i
\(493\) 1.01707e42 + 1.76162e42i 0.0835220 + 0.144664i
\(494\) −1.93966e41 + 1.11986e41i −0.0154203 + 0.00890293i
\(495\) −1.36876e43 + 2.17227e43i −1.05352 + 1.67198i
\(496\) −6.68300e43 −4.98041
\(497\) 7.16973e41 3.55529e42i 0.0517369 0.256550i
\(498\) 3.79807e42 + 7.34318e40i 0.265395 + 0.00513115i
\(499\) 6.10927e42 1.05816e43i 0.413409 0.716046i −0.581851 0.813296i \(-0.697671\pi\)
0.995260 + 0.0972496i \(0.0310045\pi\)
\(500\) 3.04866e43 1.76014e43i 1.99797 1.15353i
\(501\) 4.15668e42 2.29389e42i 0.263841 0.145602i
\(502\) −1.90292e43 + 3.29596e43i −1.16994 + 2.02639i
\(503\) 1.21697e43i 0.724757i 0.932031 + 0.362378i \(0.118035\pi\)
−0.932031 + 0.362378i \(0.881965\pi\)
\(504\) −4.40266e43 4.19506e43i −2.53996 2.42019i
\(505\) 3.45076e43 1.92865
\(506\) −1.56756e43 9.05030e42i −0.848819 0.490066i
\(507\) −9.20114e42 1.66731e43i −0.482741 0.874759i
\(508\) −3.02741e43 5.24363e43i −1.53905 2.66571i
\(509\) −6.19746e42 3.57811e42i −0.305302 0.176266i 0.339520 0.940599i \(-0.389735\pi\)
−0.644822 + 0.764333i \(0.723069\pi\)
\(510\) −1.80130e41 + 9.31677e42i −0.00859932 + 0.444777i
\(511\) −7.55339e42 2.24465e43i −0.349468 1.03852i
\(512\) 7.71678e43i 3.46032i
\(513\) −3.89321e42 + 5.92170e42i −0.169212 + 0.257376i
\(514\) 1.65336e43 + 2.86370e43i 0.696558 + 1.20647i
\(515\) −4.22739e43 + 2.44069e43i −1.72646 + 0.996773i
\(516\) 4.02899e43 6.67693e43i 1.59515 2.64351i
\(517\) −3.95979e43 −1.51993
\(518\) 1.67240e43 5.62773e42i 0.622392 0.209439i
\(519\) −1.80671e41 + 9.34471e42i −0.00651943 + 0.337200i
\(520\) −2.35974e42 + 4.08718e42i −0.0825677 + 0.143011i
\(521\) 3.21314e43 1.85511e43i 1.09025 0.629456i 0.156607 0.987661i \(-0.449944\pi\)
0.933643 + 0.358205i \(0.116611\pi\)
\(522\) 3.20813e43 + 6.08868e43i 1.05566 + 2.00353i
\(523\) −2.08397e43 + 3.60954e43i −0.665065 + 1.15193i 0.314202 + 0.949356i \(0.398263\pi\)
−0.979268 + 0.202571i \(0.935070\pi\)
\(524\) 7.65103e43i 2.36821i
\(525\) 3.41910e43 3.73009e43i 1.02651 1.11988i
\(526\) −1.98255e43 −0.577366
\(527\) 5.43495e42 + 3.13787e42i 0.153541 + 0.0886472i
\(528\) 1.60659e44 8.86606e43i 4.40313 2.42990i
\(529\) −1.57379e43 2.72588e43i −0.418461 0.724796i
\(530\) −6.90386e43 3.98595e43i −1.78106 1.02829i
\(531\) 2.40579e42 6.21933e43i 0.0602206 1.55680i
\(532\) −3.48044e43 7.01879e42i −0.845372 0.170481i
\(533\) 1.54862e42i 0.0365015i
\(534\) −7.54707e42 + 1.25072e43i −0.172631 + 0.286087i
\(535\) −1.35529e41 2.34743e41i −0.00300864 0.00521112i
\(536\) 2.18493e44 1.26147e44i 4.70762 2.71795i
\(537\) −2.34681e43 1.41611e43i −0.490784 0.296149i
\(538\) 1.01188e44 2.05405
\(539\) −6.26891e43 + 7.91597e42i −1.23530 + 0.155985i
\(540\) −1.34648e43 + 2.31913e44i −0.257573 + 4.43634i
\(541\) −6.52218e42 + 1.12968e43i −0.121126 + 0.209796i −0.920212 0.391421i \(-0.871984\pi\)
0.799086 + 0.601217i \(0.205317\pi\)
\(542\) 2.16863e43 1.25206e43i 0.391019 0.225755i
\(543\) −2.31671e43 4.19803e43i −0.405578 0.734934i
\(544\) 1.84612e43 3.19757e43i 0.313818 0.543548i
\(545\) 1.51620e44i 2.50273i
\(546\) −7.81124e41 + 3.52075e42i −0.0125210 + 0.0564356i
\(547\) −2.14315e43 −0.333622 −0.166811 0.985989i \(-0.553347\pi\)
−0.166811 + 0.985989i \(0.553347\pi\)
\(548\) 8.26513e43 + 4.77188e43i 1.24957 + 0.721440i
\(549\) −2.79764e43 5.30961e43i −0.410803 0.779660i
\(550\) 1.29260e44 + 2.23885e44i 1.84358 + 3.19317i
\(551\) 2.23691e43 + 1.29148e43i 0.309901 + 0.178921i
\(552\) −1.05256e44 2.03502e42i −1.41652 0.0273869i
\(553\) −2.44919e43 + 2.77790e43i −0.320199 + 0.363174i
\(554\) 2.86297e43i 0.363631i
\(555\) −3.70994e43 2.23865e43i −0.457804 0.276248i
\(556\) 2.76534e43 + 4.78970e43i 0.331552 + 0.574264i
\(557\) −2.54253e43 + 1.46793e43i −0.296199 + 0.171010i −0.640734 0.767763i \(-0.721370\pi\)
0.344535 + 0.938773i \(0.388037\pi\)
\(558\) 1.79641e44 + 1.13192e44i 2.03356 + 1.28136i
\(559\) −2.97286e42 −0.0327028
\(560\) −5.68365e44 + 1.91259e44i −6.07602 + 2.04462i
\(561\) −1.72285e43 3.33095e41i −0.178995 0.00346068i
\(562\) −4.67647e43 + 8.09988e43i −0.472212 + 0.817895i
\(563\) 4.05580e43 2.34162e43i 0.398054 0.229817i −0.287590 0.957754i \(-0.592854\pi\)
0.685644 + 0.727937i \(0.259521\pi\)
\(564\) −3.13676e44 + 1.73104e44i −2.99237 + 1.65136i
\(565\) 8.09196e43 1.40157e44i 0.750375 1.29969i
\(566\) 2.35648e43i 0.212423i
\(567\) 2.79305e43 + 1.10640e44i 0.244765 + 0.969582i
\(568\) 1.07773e44 0.918194
\(569\) −8.40066e43 4.85012e43i −0.695852 0.401750i 0.109948 0.993937i \(-0.464931\pi\)
−0.805801 + 0.592187i \(0.798265\pi\)
\(570\) 5.71714e43 + 1.03598e44i 0.460449 + 0.834364i
\(571\) 7.31591e42 + 1.26715e43i 0.0572916 + 0.0992319i 0.893249 0.449563i \(-0.148420\pi\)
−0.835957 + 0.548795i \(0.815087\pi\)
\(572\) −1.17573e43 6.78808e42i −0.0895305 0.0516905i
\(573\) 3.66633e42 1.89631e44i 0.0271492 1.40422i
\(574\) −2.20341e44 + 2.49914e44i −1.58674 + 1.79970i
\(575\) 8.75965e43i 0.613481i
\(576\) 3.49830e44 5.55192e44i 2.38285 3.78167i
\(577\) −5.43717e43 9.41745e43i −0.360213 0.623908i 0.627782 0.778389i \(-0.283963\pi\)
−0.987996 + 0.154481i \(0.950629\pi\)
\(578\) 2.56557e44 1.48123e44i 1.65325 0.954504i
\(579\) 9.40959e43 1.55938e44i 0.589812 0.977448i
\(580\) 8.46681e44 5.16264
\(581\) 4.53820e42 2.25038e43i 0.0269194 0.133487i
\(582\) 6.20703e41 3.21042e43i 0.00358192 0.185265i
\(583\) 7.37077e43 1.27665e44i 0.413824 0.716764i
\(584\) 6.09467e44 3.51876e44i 3.32924 1.92214i
\(585\) 7.83477e42 4.12814e42i 0.0416421 0.0219412i
\(586\) 7.27989e43 1.26091e44i 0.376498 0.652114i
\(587\) 2.83219e44i 1.42532i 0.701510 + 0.712660i \(0.252510\pi\)
−0.701510 + 0.712660i \(0.747490\pi\)
\(588\) −4.61988e44 + 3.36754e44i −2.26252 + 1.64921i
\(589\) 7.96895e43 0.379801
\(590\) −8.99969e44 5.19598e44i −4.17441 2.41010i
\(591\) −8.75865e43 + 4.83352e43i −0.395401 + 0.218204i
\(592\) 1.54839e44 + 2.68188e44i 0.680349 + 1.17840i
\(593\) −2.17169e44 1.25383e44i −0.928802 0.536244i −0.0423693 0.999102i \(-0.513491\pi\)
−0.886432 + 0.462858i \(0.846824\pi\)
\(594\) −5.82022e44 3.37921e43i −2.42302 0.140680i
\(595\) 5.52024e43 + 1.11323e43i 0.223711 + 0.0451144i
\(596\) 1.38669e45i 5.47066i
\(597\) −1.52995e43 + 2.53547e43i −0.0587609 + 0.0973797i
\(598\) 3.12157e42 + 5.40671e42i 0.0116722 + 0.0202169i
\(599\) −1.08740e44 + 6.27813e43i −0.395878 + 0.228560i −0.684704 0.728821i \(-0.740068\pi\)
0.288826 + 0.957382i \(0.406735\pi\)
\(600\) 1.28737e45 + 7.76826e44i 4.56336 + 2.75362i
\(601\) −3.85575e44 −1.33081 −0.665407 0.746481i \(-0.731742\pi\)
−0.665407 + 0.746481i \(0.731742\pi\)
\(602\) −4.79754e44 4.22984e44i −1.61241 1.42161i
\(603\) −4.73061e44 1.82992e43i −1.54825 0.0598900i
\(604\) −4.05494e44 + 7.02336e44i −1.29239 + 2.23848i
\(605\) −2.43690e44 + 1.40695e44i −0.756401 + 0.436708i
\(606\) 3.78585e44 + 6.86021e44i 1.14446 + 2.07384i
\(607\) 2.52477e44 4.37302e44i 0.743365 1.28755i −0.207590 0.978216i \(-0.566562\pi\)
0.950955 0.309330i \(-0.100105\pi\)
\(608\) 4.68841e44i 1.34452i
\(609\) 3.96674e44 1.25001e44i 1.10805 0.349170i
\(610\) −1.00206e45 −2.72656
\(611\) 1.18281e43 + 6.82893e42i 0.0313512 + 0.0181006i
\(612\) −1.37932e44 + 7.26762e43i −0.356157 + 0.187659i
\(613\) −1.76714e44 3.06077e44i −0.444531 0.769950i 0.553488 0.832857i \(-0.313296\pi\)
−0.998019 + 0.0629065i \(0.979963\pi\)
\(614\) 3.46328e44 + 1.99952e44i 0.848776 + 0.490041i
\(615\) 8.18000e44 + 1.58152e43i 1.95322 + 0.0377635i
\(616\) −5.98831e44 1.77955e45i −1.39320 4.14018i
\(617\) 1.05480e44i 0.239116i −0.992827 0.119558i \(-0.961852\pi\)
0.992827 0.119558i \(-0.0381478\pi\)
\(618\) −9.49006e44 5.72649e44i −2.09630 1.26495i
\(619\) 2.60405e44 + 4.51035e44i 0.560530 + 0.970866i 0.997450 + 0.0713662i \(0.0227359\pi\)
−0.436920 + 0.899500i \(0.643931\pi\)
\(620\) 2.26221e45 1.30609e45i 4.74533 2.73972i
\(621\) 1.65065e44 + 1.08522e44i 0.337435 + 0.221846i
\(622\) −2.77573e44 −0.553008
\(623\) 6.62167e43 + 5.83811e43i 0.128576 + 0.113361i
\(624\) −6.32795e43 1.22345e42i −0.119759 0.00231543i
\(625\) 5.72757e43 9.92043e43i 0.105655 0.183000i
\(626\) 4.87901e44 2.81690e44i 0.877288 0.506503i
\(627\) −1.91573e44 + 1.05721e44i −0.335779 + 0.185302i
\(628\) −6.05534e44 + 1.04882e45i −1.03463 + 1.79203i
\(629\) 2.90805e43i 0.0484386i
\(630\) 1.85172e45 + 4.48554e44i 3.00695 + 0.728393i
\(631\) −4.01091e44 −0.634999 −0.317499 0.948258i \(-0.602843\pi\)
−0.317499 + 0.948258i \(0.602843\pi\)
\(632\) −9.53037e44 5.50236e44i −1.47108 0.849328i
\(633\) 1.00733e44 + 1.82534e44i 0.151604 + 0.274717i
\(634\) 3.56949e44 + 6.18254e44i 0.523815 + 0.907274i
\(635\) 1.05607e45 + 6.09722e44i 1.51117 + 0.872474i
\(636\) 2.57823e43 1.33352e45i 0.0359755 1.86074i
\(637\) 2.00906e43 + 8.44662e42i 0.0273377 + 0.0114935i
\(638\) 2.12488e45i 2.81970i
\(639\) −1.71096e44 1.07808e44i −0.221424 0.139521i
\(640\) −2.73375e45 4.73500e45i −3.45048 5.97641i
\(641\) 1.34330e44 7.75552e43i 0.165365 0.0954734i −0.415034 0.909806i \(-0.636230\pi\)
0.580398 + 0.814333i \(0.302897\pi\)
\(642\) 3.17986e42 5.26973e42i 0.00381810 0.00632744i
\(643\) −1.43316e44 −0.167849 −0.0839245 0.996472i \(-0.526745\pi\)
−0.0839245 + 0.996472i \(0.526745\pi\)
\(644\) −1.95646e44 + 9.70158e44i −0.223510 + 1.10833i
\(645\) −3.03601e43 + 1.57030e45i −0.0338336 + 1.74995i
\(646\) −3.97065e43 + 6.87738e43i −0.0431660 + 0.0747657i
\(647\) −1.22156e44 + 7.05269e43i −0.129553 + 0.0747973i −0.563376 0.826201i \(-0.690498\pi\)
0.433823 + 0.900998i \(0.357164\pi\)
\(648\) −3.05874e45 + 1.46350e45i −3.16477 + 1.51424i
\(649\) 9.60834e44 1.66421e45i 0.969913 1.67994i
\(650\) 8.91670e43i 0.0878194i
\(651\) 8.67032e44 9.45895e44i 0.833181 0.908964i
\(652\) 3.27321e45 3.06911
\(653\) 1.19313e45 + 6.88852e44i 1.09163 + 0.630253i 0.934010 0.357247i \(-0.116284\pi\)
0.157620 + 0.987500i \(0.449618\pi\)
\(654\) 3.01426e45 1.66344e45i 2.69114 1.48512i
\(655\) −7.70461e44 1.33448e45i −0.671259 1.16265i
\(656\) −5.06385e45 2.92362e45i −4.30546 2.48576i
\(657\) −1.31956e45 5.10438e43i −1.09492 0.0423543i
\(658\) 9.37156e44 + 2.78496e45i 0.758923 + 2.25530i
\(659\) 3.78395e44i 0.299074i −0.988756 0.149537i \(-0.952222\pi\)
0.988756 0.149537i \(-0.0477783\pi\)
\(660\) −3.70561e45 + 6.14101e45i −2.85862 + 4.73737i
\(661\) 5.56312e44 + 9.63561e44i 0.418885 + 0.725531i 0.995828 0.0912543i \(-0.0290876\pi\)
−0.576942 + 0.816785i \(0.695754\pi\)
\(662\) −4.44980e45 + 2.56909e45i −3.27049 + 1.88822i
\(663\) 5.08876e42 + 3.07066e42i 0.00365086 + 0.00220300i
\(664\) 6.82164e44 0.477749
\(665\) 6.77730e44 2.28061e44i 0.463351 0.155921i
\(666\) 3.80307e43 9.83152e44i 0.0253832 0.656195i
\(667\) 3.59995e44 6.23530e44i 0.234576 0.406297i
\(668\) 1.14856e45 6.63122e44i 0.730686 0.421862i
\(669\) −1.10307e45 1.99883e45i −0.685149 1.24153i
\(670\) −3.95221e45 + 6.84544e45i −2.39687 + 4.15149i
\(671\) 1.85299e45i 1.09727i
\(672\) −5.56503e45 5.10106e45i −3.21780 2.94952i
\(673\) −4.90236e44 −0.276799 −0.138399 0.990377i \(-0.544196\pi\)
−0.138399 + 0.990377i \(0.544196\pi\)
\(674\) 5.40363e45 + 3.11979e45i 2.97939 + 1.72015i
\(675\) −1.26670e45 2.52106e45i −0.682047 1.35745i
\(676\) −2.65988e45 4.60705e45i −1.39867 2.42257i
\(677\) 8.45217e44 + 4.87986e44i 0.434060 + 0.250605i 0.701075 0.713088i \(-0.252704\pi\)
−0.267015 + 0.963692i \(0.586037\pi\)
\(678\) 3.67413e45 + 7.10357e43i 1.84281 + 0.0356288i
\(679\) −1.90219e44 3.83604e43i −0.0931834 0.0187917i
\(680\) 1.67337e45i 0.800661i
\(681\) 7.33913e44 + 4.42858e44i 0.342997 + 0.206971i
\(682\) 3.27784e45 + 5.67738e45i 1.49636 + 2.59178i
\(683\) −1.40390e45 + 8.10542e44i −0.626044 + 0.361447i −0.779218 0.626753i \(-0.784384\pi\)
0.153174 + 0.988199i \(0.451050\pi\)
\(684\) −1.05539e45 + 1.67494e45i −0.459742 + 0.729627i
\(685\) −1.92212e45 −0.817957
\(686\) 2.04039e45 + 4.22163e45i 0.848255 + 1.75507i
\(687\) −3.11640e45 6.02525e43i −1.26574 0.0244719i
\(688\) 5.61241e45 9.72097e45i 2.22707 3.85740i
\(689\) −4.40335e43 + 2.54228e43i −0.0170717 + 0.00985633i
\(690\) 2.88776e45 1.59363e45i 1.09390 0.603674i
\(691\) −7.84061e44 + 1.35803e45i −0.290202 + 0.502645i −0.973857 0.227160i \(-0.927056\pi\)
0.683655 + 0.729805i \(0.260389\pi\)
\(692\) 2.61093e45i 0.944272i
\(693\) −8.29460e44 + 3.42418e45i −0.293132 + 1.21011i
\(694\) 9.58775e45 3.31104
\(695\) −9.64648e44 5.56940e44i −0.325546 0.187954i
\(696\) 5.97126e45 + 1.08203e46i 1.96933 + 3.56856i
\(697\) 2.74545e44 + 4.75526e44i 0.0884890 + 0.153267i
\(698\) 5.91931e44 + 3.41752e44i 0.186459 + 0.107652i
\(699\) 5.65179e43 2.92324e45i 0.0174001 0.899973i
\(700\) 9.34803e45 1.06027e46i 2.81288 3.19041i
\(701\) 5.31120e45i 1.56208i 0.624479 + 0.781042i \(0.285311\pi\)
−0.624479 + 0.781042i \(0.714689\pi\)
\(702\) 1.68025e44 + 1.10467e44i 0.0483036 + 0.0317571i
\(703\) −1.84633e44 3.19793e44i −0.0518828 0.0898636i
\(704\) 1.75464e46 1.01304e46i 4.81975 2.78268i
\(705\) 3.72791e45 6.17797e45i 1.00101 1.65890i
\(706\) −7.31879e45 −1.92116
\(707\) 4.48788e45 1.51020e45i 1.15168 0.387547i
\(708\) 3.36091e44 1.73834e46i 0.0843188 4.36117i
\(709\) 2.68460e45 4.64987e45i 0.658477 1.14052i −0.322533 0.946558i \(-0.604534\pi\)
0.981010 0.193957i \(-0.0621322\pi\)
\(710\) −2.92416e45 + 1.68827e45i −0.701242 + 0.404862i
\(711\) 9.62588e44 + 1.82689e45i 0.225697 + 0.428349i
\(712\) −1.31159e45 + 2.27175e45i −0.300690 + 0.520811i
\(713\) 2.22131e45i 0.497940i
\(714\) 3.84315e44 + 1.21957e45i 0.0842396 + 0.267323i
\(715\) 2.73425e44 0.0586058
\(716\) −6.63105e45 3.82844e45i −1.38987 0.802442i
\(717\) −3.99391e45 + 2.20406e45i −0.818638 + 0.451770i
\(718\) 5.82615e45 + 1.00912e46i 1.16786 + 2.02279i
\(719\) 8.20649e45 + 4.73802e45i 1.60877 + 0.928826i 0.989645 + 0.143536i \(0.0458474\pi\)
0.619129 + 0.785290i \(0.287486\pi\)
\(720\) −1.29247e45 + 3.34124e46i −0.247800 + 6.40602i
\(721\) −4.42978e45 + 5.02432e45i −0.830650 + 0.942135i
\(722\) 9.62020e45i 1.76437i
\(723\) −2.30096e45 + 3.81320e45i −0.412759 + 0.684033i
\(724\) −6.69720e45 1.15999e46i −1.17510 2.03534i
\(725\) −8.90551e45 + 5.14160e45i −1.52845 + 0.882450i
\(726\) −5.47059e45 3.30106e45i −0.918435 0.554202i
\(727\) 3.84757e45 0.631881 0.315941 0.948779i \(-0.397680\pi\)
0.315941 + 0.948779i \(0.397680\pi\)
\(728\) −1.28023e44 + 6.34831e44i −0.0205676 + 0.101990i
\(729\) 6.31993e45 + 7.36351e44i 0.993281 + 0.115730i
\(730\) −1.10243e46 + 1.90947e46i −1.69507 + 2.93594i
\(731\) −9.12857e44 + 5.27038e44i −0.137317 + 0.0792801i
\(732\) −8.10043e45 1.46785e46i −1.19215 2.16026i
\(733\) −3.28741e44 + 5.69397e44i −0.0473359 + 0.0819882i −0.888723 0.458445i \(-0.848406\pi\)
0.841387 + 0.540434i \(0.181740\pi\)
\(734\) 9.98865e45i 1.40724i
\(735\) 4.66677e45 1.05258e46i 0.643308 1.45097i
\(736\) −1.30688e46 −1.76274
\(737\) −1.26585e46 7.30839e45i −1.67072 0.964588i
\(738\) 8.65992e45 + 1.64356e46i 1.11844 + 2.12267i
\(739\) 2.80427e45 + 4.85714e45i 0.354413 + 0.613861i 0.987017 0.160614i \(-0.0513475\pi\)
−0.632605 + 0.774475i \(0.718014\pi\)