Properties

Label 12.16.b.a.11.20
Level 12
Weight 16
Character 12.11
Analytic conductor 17.123
Analytic rank 0
Dimension 28
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 16 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(17.123220612\)
Analytic rank: \(0\)
Dimension: \(28\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.20
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.19

$q$-expansion

\(f(q)\) \(=\) \(q+(83.3106 + 160.709i) q^{2} +(-3555.47 - 1306.74i) q^{3} +(-18886.7 + 26777.5i) q^{4} -93360.9i q^{5} +(-86203.8 - 680260. i) q^{6} -1.14542e6i q^{7} +(-5.87684e6 - 804409. i) q^{8} +(1.09338e7 + 9.29212e6i) q^{9} +O(q^{10})\) \(q+(83.3106 + 160.709i) q^{2} +(-3555.47 - 1306.74i) q^{3} +(-18886.7 + 26777.5i) q^{4} -93360.9i q^{5} +(-86203.8 - 680260. i) q^{6} -1.14542e6i q^{7} +(-5.87684e6 - 804409. i) q^{8} +(1.09338e7 + 9.29212e6i) q^{9} +(1.50039e7 - 7.77795e6i) q^{10} +1.80841e6 q^{11} +(1.02142e8 - 7.05266e7i) q^{12} +3.17574e8 q^{13} +(1.84079e8 - 9.54254e7i) q^{14} +(-1.21998e8 + 3.31942e8i) q^{15} +(-3.60328e8 - 1.01148e9i) q^{16} +2.67956e9i q^{17} +(-5.82427e8 + 2.53129e9i) q^{18} -2.07292e9i q^{19} +(2.49997e9 + 1.76328e9i) q^{20} +(-1.49676e9 + 4.07249e9i) q^{21} +(1.50660e8 + 2.90628e8i) q^{22} +2.43757e10 q^{23} +(1.98438e10 + 1.05395e10i) q^{24} +2.18013e10 q^{25} +(2.64573e10 + 5.10370e10i) q^{26} +(-2.67323e10 - 4.73254e10i) q^{27} +(3.06714e10 + 2.16331e10i) q^{28} -4.77985e9i q^{29} +(-6.35097e10 + 8.04806e9i) q^{30} -5.30495e10i q^{31} +(1.32534e11 - 1.42175e11i) q^{32} +(-6.42975e9 - 2.36312e9i) q^{33} +(-4.30629e11 + 2.23235e11i) q^{34} -1.06937e11 q^{35} +(-4.55323e11 + 1.17282e11i) q^{36} +4.06413e11 q^{37} +(3.33137e11 - 1.72696e11i) q^{38} +(-1.12912e12 - 4.14986e11i) q^{39} +(-7.51003e10 + 5.48667e11i) q^{40} -1.36874e12i q^{41} +(-7.79182e11 + 9.87393e10i) q^{42} -2.85013e12i q^{43} +(-3.41549e10 + 4.84247e10i) q^{44} +(8.67521e11 - 1.02079e12i) q^{45} +(2.03075e12 + 3.91739e12i) q^{46} -7.27503e11 q^{47} +(-4.06014e10 + 4.06713e12i) q^{48} +3.43558e12 q^{49} +(1.81628e12 + 3.50367e12i) q^{50} +(3.50148e12 - 9.52708e12i) q^{51} +(-5.99793e12 + 8.50385e12i) q^{52} +7.05903e12i q^{53} +(5.37853e12 - 8.23883e12i) q^{54} -1.68835e11i q^{55} +(-9.21384e11 + 6.73144e12i) q^{56} +(-2.70876e12 + 7.37020e12i) q^{57} +(7.68164e11 - 3.98212e11i) q^{58} -1.63957e13 q^{59} +(-6.58442e12 - 9.53608e12i) q^{60} +3.06206e13 q^{61} +(8.52552e12 - 4.41958e12i) q^{62} +(1.06434e13 - 1.25237e13i) q^{63} +(3.38902e13 + 9.45477e12i) q^{64} -2.96490e13i q^{65} +(-1.55892e11 - 1.23019e12i) q^{66} +7.17216e13i q^{67} +(-7.17519e13 - 5.06080e13i) q^{68} +(-8.66669e13 - 3.18526e13i) q^{69} +(-8.90900e12 - 1.71857e13i) q^{70} +4.82624e13 q^{71} +(-5.67815e13 - 6.34036e13i) q^{72} -9.56538e13 q^{73} +(3.38585e13 + 6.53141e13i) q^{74} +(-7.75139e13 - 2.84886e13i) q^{75} +(5.55077e13 + 3.91506e13i) q^{76} -2.07139e12i q^{77} +(-2.73761e13 - 2.16033e14i) q^{78} +3.27912e14i q^{79} +(-9.44324e13 + 3.36405e13i) q^{80} +(3.32041e13 + 2.03196e14i) q^{81} +(2.19969e14 - 1.14031e14i) q^{82} +2.88031e14 q^{83} +(-8.07824e13 - 1.16995e14i) q^{84} +2.50166e14 q^{85} +(4.58041e14 - 2.37446e14i) q^{86} +(-6.24600e12 + 1.69946e13i) q^{87} +(-1.06278e13 - 1.45470e12i) q^{88} +2.05245e14i q^{89} +(2.36323e14 + 5.43759e13i) q^{90} -3.63755e14i q^{91} +(-4.60376e14 + 6.52720e14i) q^{92} +(-6.93217e13 + 1.88616e14i) q^{93} +(-6.06087e13 - 1.16916e14i) q^{94} -1.93530e14 q^{95} +(-6.57006e14 + 3.32310e14i) q^{96} -5.41919e14 q^{97} +(2.86220e14 + 5.52128e14i) q^{98} +(1.97728e13 + 1.68040e13i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} + O(q^{10}) \) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} - 43831600q^{10} - 226414248q^{12} + 124527272q^{13} - 1459325408q^{16} - 4234777584q^{18} - 7261350648q^{21} - 2533670160q^{22} - 18487781856q^{24} - 146804950740q^{25} + 5481093840q^{28} + 8237058960q^{30} + 204574669728q^{33} + 450165745472q^{34} + 232631927160q^{36} + 386069193224q^{37} + 1945471012160q^{40} + 1938106219632q^{42} - 5007113912640q^{45} + 2270790222432q^{46} + 5846474725152q^{48} - 18480860963084q^{49} - 6113229405424q^{52} + 1626598700568q^{54} + 8085872464056q^{57} - 19395437098192q^{58} - 10924219377600q^{60} - 16392792556696q^{61} + 21633892829056q^{64} + 4928819126448q^{66} + 137029869973056q^{69} + 91772543171040q^{70} + 66924493142592q^{72} + 158451626683736q^{73} - 205265768291280q^{76} + 58364283489648q^{78} + 116126816635836q^{81} - 750029796726880q^{82} - 92605433207856q^{84} - 30099357052160q^{85} - 619691835246912q^{88} - 471443548913520q^{90} - 777661615138584q^{93} + 1301107064491200q^{94} + 525428335287168q^{96} - 824166397720648q^{97} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 83.3106 + 160.709i 0.460230 + 0.887800i
\(3\) −3555.47 1306.74i −0.938614 0.344968i
\(4\) −18886.7 + 26777.5i −0.576376 + 0.817185i
\(5\) 93360.9i 0.534429i −0.963637 0.267214i \(-0.913897\pi\)
0.963637 0.267214i \(-0.0861032\pi\)
\(6\) −86203.8 680260.i −0.125716 0.992066i
\(7\) 1.14542e6i 0.525688i −0.964838 0.262844i \(-0.915339\pi\)
0.964838 0.262844i \(-0.0846605\pi\)
\(8\) −5.87684e6 804409.i −0.990762 0.135613i
\(9\) 1.09338e7 + 9.29212e6i 0.761994 + 0.647584i
\(10\) 1.50039e7 7.77795e6i 0.474466 0.245960i
\(11\) 1.80841e6 0.0279803 0.0139901 0.999902i \(-0.495547\pi\)
0.0139901 + 0.999902i \(0.495547\pi\)
\(12\) 1.02142e8 7.05266e7i 0.822897 0.568190i
\(13\) 3.17574e8 1.40369 0.701843 0.712331i \(-0.252361\pi\)
0.701843 + 0.712331i \(0.252361\pi\)
\(14\) 1.84079e8 9.54254e7i 0.466706 0.241938i
\(15\) −1.21998e8 + 3.31942e8i −0.184361 + 0.501623i
\(16\) −3.60328e8 1.01148e9i −0.335581 0.942011i
\(17\) 2.67956e9i 1.58378i 0.610661 + 0.791892i \(0.290904\pi\)
−0.610661 + 0.791892i \(0.709096\pi\)
\(18\) −5.82427e8 + 2.53129e9i −0.224232 + 0.974536i
\(19\) 2.07292e9i 0.532024i −0.963970 0.266012i \(-0.914294\pi\)
0.963970 0.266012i \(-0.0857060\pi\)
\(20\) 2.49997e9 + 1.76328e9i 0.436727 + 0.308032i
\(21\) −1.49676e9 + 4.07249e9i −0.181346 + 0.493419i
\(22\) 1.50660e8 + 2.90628e8i 0.0128774 + 0.0248409i
\(23\) 2.43757e10 1.49279 0.746393 0.665505i \(-0.231784\pi\)
0.746393 + 0.665505i \(0.231784\pi\)
\(24\) 1.98438e10 + 1.05395e10i 0.883161 + 0.469070i
\(25\) 2.18013e10 0.714386
\(26\) 2.64573e10 + 5.10370e10i 0.646019 + 1.24619i
\(27\) −2.67323e10 4.73254e10i −0.491823 0.870695i
\(28\) 3.06714e10 + 2.16331e10i 0.429584 + 0.302994i
\(29\) 4.77985e9i 0.0514552i −0.999669 0.0257276i \(-0.991810\pi\)
0.999669 0.0257276i \(-0.00819025\pi\)
\(30\) −6.35097e10 + 8.04806e9i −0.530189 + 0.0671865i
\(31\) 5.30495e10i 0.346313i −0.984894 0.173156i \(-0.944603\pi\)
0.984894 0.173156i \(-0.0553966\pi\)
\(32\) 1.32534e11 1.42175e11i 0.681872 0.731471i
\(33\) −6.42975e9 2.36312e9i −0.0262627 0.00965230i
\(34\) −4.30629e11 + 2.23235e11i −1.40608 + 0.728906i
\(35\) −1.06937e11 −0.280943
\(36\) −4.55323e11 + 1.17282e11i −0.968391 + 0.249438i
\(37\) 4.06413e11 0.703808 0.351904 0.936036i \(-0.385534\pi\)
0.351904 + 0.936036i \(0.385534\pi\)
\(38\) 3.33137e11 1.72696e11i 0.472330 0.244853i
\(39\) −1.12912e12 4.14986e11i −1.31752 0.484227i
\(40\) −7.51003e10 + 5.48667e11i −0.0724756 + 0.529492i
\(41\) 1.36874e12i 1.09760i −0.835954 0.548799i \(-0.815085\pi\)
0.835954 0.548799i \(-0.184915\pi\)
\(42\) −7.79182e11 + 9.87393e10i −0.521518 + 0.0660876i
\(43\) 2.85013e12i 1.59901i −0.600661 0.799504i \(-0.705096\pi\)
0.600661 0.799504i \(-0.294904\pi\)
\(44\) −3.41549e10 + 4.84247e10i −0.0161272 + 0.0228651i
\(45\) 8.67521e11 1.02079e12i 0.346088 0.407232i
\(46\) 2.03075e12 + 3.91739e12i 0.687026 + 1.32530i
\(47\) −7.27503e11 −0.209460 −0.104730 0.994501i \(-0.533398\pi\)
−0.104730 + 0.994501i \(0.533398\pi\)
\(48\) −4.06014e10 + 4.06713e12i −0.00998233 + 0.999950i
\(49\) 3.43558e12 0.723652
\(50\) 1.81628e12 + 3.50367e12i 0.328782 + 0.634231i
\(51\) 3.50148e12 9.52708e12i 0.546355 1.48656i
\(52\) −5.99793e12 + 8.50385e12i −0.809051 + 1.14707i
\(53\) 7.05903e12i 0.825422i 0.910862 + 0.412711i \(0.135418\pi\)
−0.910862 + 0.412711i \(0.864582\pi\)
\(54\) 5.37853e12 8.23883e12i 0.546651 0.837361i
\(55\) 1.68835e11i 0.0149535i
\(56\) −9.21384e11 + 6.73144e12i −0.0712903 + 0.520832i
\(57\) −2.70876e12 + 7.37020e12i −0.183531 + 0.499365i
\(58\) 7.68164e11 3.98212e11i 0.0456819 0.0236812i
\(59\) −1.63957e13 −0.857707 −0.428853 0.903374i \(-0.641082\pi\)
−0.428853 + 0.903374i \(0.641082\pi\)
\(60\) −6.58442e12 9.53608e12i −0.303657 0.439780i
\(61\) 3.06206e13 1.24750 0.623749 0.781624i \(-0.285609\pi\)
0.623749 + 0.781624i \(0.285609\pi\)
\(62\) 8.52552e12 4.41958e12i 0.307456 0.159384i
\(63\) 1.06434e13 1.25237e13i 0.340427 0.400571i
\(64\) 3.38902e13 + 9.45477e12i 0.963218 + 0.268721i
\(65\) 2.96490e13i 0.750171i
\(66\) −1.55892e11 1.23019e12i −0.00351758 0.0277583i
\(67\) 7.17216e13i 1.44574i 0.690986 + 0.722868i \(0.257177\pi\)
−0.690986 + 0.722868i \(0.742823\pi\)
\(68\) −7.17519e13 5.06080e13i −1.29424 0.912855i
\(69\) −8.66669e13 3.18526e13i −1.40115 0.514964i
\(70\) −8.90900e12 1.71857e13i −0.129299 0.249421i
\(71\) 4.82624e13 0.629755 0.314877 0.949132i \(-0.398037\pi\)
0.314877 + 0.949132i \(0.398037\pi\)
\(72\) −5.67815e13 6.34036e13i −0.667134 0.744938i
\(73\) −9.56538e13 −1.01340 −0.506700 0.862122i \(-0.669135\pi\)
−0.506700 + 0.862122i \(0.669135\pi\)
\(74\) 3.38585e13 + 6.53141e13i 0.323914 + 0.624841i
\(75\) −7.75139e13 2.84886e13i −0.670533 0.246440i
\(76\) 5.55077e13 + 3.91506e13i 0.434761 + 0.306646i
\(77\) 2.07139e12i 0.0147089i
\(78\) −2.73761e13 2.16033e14i −0.176466 1.39255i
\(79\) 3.27912e14i 1.92112i 0.278079 + 0.960558i \(0.410302\pi\)
−0.278079 + 0.960558i \(0.589698\pi\)
\(80\) −9.44324e13 + 3.36405e13i −0.503438 + 0.179344i
\(81\) 3.32041e13 + 2.03196e14i 0.161270 + 0.986910i
\(82\) 2.19969e14 1.14031e14i 0.974447 0.505148i
\(83\) 2.88031e14 1.16507 0.582537 0.812804i \(-0.302060\pi\)
0.582537 + 0.812804i \(0.302060\pi\)
\(84\) −8.07824e13 1.16995e14i −0.298691 0.432588i
\(85\) 2.50166e14 0.846420
\(86\) 4.58041e14 2.37446e14i 1.41960 0.735912i
\(87\) −6.24600e12 + 1.69946e13i −0.0177504 + 0.0482966i
\(88\) −1.06278e13 1.45470e12i −0.0277218 0.00379450i
\(89\) 2.05245e14i 0.491866i 0.969287 + 0.245933i \(0.0790944\pi\)
−0.969287 + 0.245933i \(0.920906\pi\)
\(90\) 2.36323e14 + 5.43759e13i 0.520820 + 0.119836i
\(91\) 3.63755e14i 0.737902i
\(92\) −4.60376e14 + 6.52720e14i −0.860406 + 1.21988i
\(93\) −6.93217e13 + 1.88616e14i −0.119467 + 0.325054i
\(94\) −6.06087e13 1.16916e14i −0.0963998 0.185958i
\(95\) −1.93530e14 −0.284329
\(96\) −6.57006e14 + 3.32310e14i −0.892349 + 0.451345i
\(97\) −5.41919e14 −0.680999 −0.340500 0.940245i \(-0.610596\pi\)
−0.340500 + 0.940245i \(0.610596\pi\)
\(98\) 2.86220e14 + 5.52128e14i 0.333047 + 0.642458i
\(99\) 1.97728e13 + 1.68040e13i 0.0213208 + 0.0181196i
\(100\) −4.11755e14 + 5.83785e14i −0.411755 + 0.583785i
\(101\) 2.07469e15i 1.92550i −0.270392 0.962750i \(-0.587153\pi\)
0.270392 0.962750i \(-0.412847\pi\)
\(102\) 1.82280e15 2.30988e14i 1.57122 0.199108i
\(103\) 1.33536e15i 1.06984i −0.844902 0.534922i \(-0.820341\pi\)
0.844902 0.534922i \(-0.179659\pi\)
\(104\) −1.86633e15 2.55460e14i −1.39072 0.190358i
\(105\) 3.80211e14 + 1.39739e14i 0.263697 + 0.0969164i
\(106\) −1.13445e15 + 5.88092e14i −0.732809 + 0.379884i
\(107\) −1.41960e15 −0.854647 −0.427324 0.904099i \(-0.640543\pi\)
−0.427324 + 0.904099i \(0.640543\pi\)
\(108\) 1.77214e15 + 1.77995e14i 0.994994 + 0.0999378i
\(109\) 1.76730e15 0.926000 0.463000 0.886358i \(-0.346773\pi\)
0.463000 + 0.886358i \(0.346773\pi\)
\(110\) 2.71333e13 1.40657e13i 0.0132757 0.00688204i
\(111\) −1.44499e15 5.31075e14i −0.660605 0.242791i
\(112\) −1.15856e15 + 4.12725e14i −0.495204 + 0.176411i
\(113\) 1.47671e14i 0.0590481i −0.999564 0.0295241i \(-0.990601\pi\)
0.999564 0.0295241i \(-0.00939917\pi\)
\(114\) −1.41013e15 + 1.78694e14i −0.527803 + 0.0668841i
\(115\) 2.27573e15i 0.797788i
\(116\) 1.27992e14 + 9.02755e13i 0.0420484 + 0.0296575i
\(117\) 3.47229e15 + 2.95094e15i 1.06960 + 0.909005i
\(118\) −1.36593e15 2.63493e15i −0.394743 0.761472i
\(119\) 3.06921e15 0.832577
\(120\) 9.83981e14 1.85263e15i 0.250684 0.471987i
\(121\) −4.17398e15 −0.999217
\(122\) 2.55102e15 + 4.92100e15i 0.574137 + 1.10753i
\(123\) −1.78859e15 + 4.86652e15i −0.378636 + 1.03022i
\(124\) 1.42053e15 + 1.00193e15i 0.283001 + 0.199606i
\(125\) 4.88454e15i 0.916217i
\(126\) 2.89938e15 + 6.67121e14i 0.512302 + 0.117876i
\(127\) 2.39188e15i 0.398301i −0.979969 0.199151i \(-0.936182\pi\)
0.979969 0.199151i \(-0.0638183\pi\)
\(128\) 1.30395e15 + 6.23414e15i 0.204732 + 0.978818i
\(129\) −3.72437e15 + 1.01335e16i −0.551607 + 1.50085i
\(130\) 4.76486e15 2.47008e15i 0.666001 0.345251i
\(131\) 1.23826e16 1.63410 0.817049 0.576568i \(-0.195608\pi\)
0.817049 + 0.576568i \(0.195608\pi\)
\(132\) 1.84715e14 1.27541e14i 0.0230249 0.0158981i
\(133\) −2.37436e15 −0.279679
\(134\) −1.15263e16 + 5.97517e15i −1.28352 + 0.665372i
\(135\) −4.41834e15 + 2.49575e15i −0.465325 + 0.262844i
\(136\) 2.15546e15 1.57473e16i 0.214782 1.56915i
\(137\) 7.11951e15i 0.671500i −0.941951 0.335750i \(-0.891010\pi\)
0.941951 0.335750i \(-0.108990\pi\)
\(138\) −2.10127e15 1.65818e16i −0.187668 1.48094i
\(139\) 1.47105e16i 1.24456i 0.782794 + 0.622281i \(0.213794\pi\)
−0.782794 + 0.622281i \(0.786206\pi\)
\(140\) 2.01969e15 2.86351e15i 0.161929 0.229582i
\(141\) 2.58661e15 + 9.50656e14i 0.196602 + 0.0722570i
\(142\) 4.02077e15 + 7.75620e15i 0.289832 + 0.559096i
\(143\) 5.74305e14 0.0392756
\(144\) 5.45902e15 1.44075e16i 0.354320 0.935124i
\(145\) −4.46251e14 −0.0274991
\(146\) −7.96898e15 1.53724e16i −0.466397 0.899696i
\(147\) −1.22151e16 4.48940e15i −0.679230 0.249637i
\(148\) −7.67579e15 + 1.08827e16i −0.405658 + 0.575141i
\(149\) 1.71102e16i 0.859720i −0.902896 0.429860i \(-0.858563\pi\)
0.902896 0.429860i \(-0.141437\pi\)
\(150\) −1.87936e15 1.48306e16i −0.0898100 0.708718i
\(151\) 3.58511e16i 1.62996i 0.579492 + 0.814978i \(0.303251\pi\)
−0.579492 + 0.814978i \(0.696749\pi\)
\(152\) −1.66748e15 + 1.21822e16i −0.0721494 + 0.527109i
\(153\) −2.48988e16 + 2.92977e16i −1.02563 + 1.20683i
\(154\) 3.32890e14 1.72568e14i 0.0130586 0.00676949i
\(155\) −4.95275e15 −0.185080
\(156\) 3.24377e16 2.23974e16i 1.15509 0.797561i
\(157\) 1.10073e16 0.373623 0.186811 0.982396i \(-0.440185\pi\)
0.186811 + 0.982396i \(0.440185\pi\)
\(158\) −5.26983e16 + 2.73185e16i −1.70557 + 0.884156i
\(159\) 9.22430e15 2.50981e16i 0.284744 0.774753i
\(160\) −1.32735e16 1.23735e16i −0.390919 0.364412i
\(161\) 2.79203e16i 0.784741i
\(162\) −2.98892e16 + 2.22646e16i −0.801957 + 0.597382i
\(163\) 5.64997e16i 1.44757i −0.690026 0.723785i \(-0.742401\pi\)
0.690026 0.723785i \(-0.257599\pi\)
\(164\) 3.66515e16 + 2.58510e16i 0.896940 + 0.632629i
\(165\) −2.20623e14 + 6.00287e14i −0.00515847 + 0.0140355i
\(166\) 2.39960e16 + 4.62891e16i 0.536203 + 1.03435i
\(167\) 5.17280e15 0.110497 0.0552487 0.998473i \(-0.482405\pi\)
0.0552487 + 0.998473i \(0.482405\pi\)
\(168\) 1.20722e16 2.27294e16i 0.246584 0.464268i
\(169\) 4.96675e16 0.970336
\(170\) 2.08415e16 + 4.02039e16i 0.389548 + 0.751451i
\(171\) 1.92618e16 2.26649e16i 0.344530 0.405399i
\(172\) 7.63193e16 + 5.38295e16i 1.30668 + 0.921630i
\(173\) 2.04847e16i 0.335802i 0.985804 + 0.167901i \(0.0536990\pi\)
−0.985804 + 0.167901i \(0.946301\pi\)
\(174\) −3.25154e15 + 4.12041e14i −0.0510469 + 0.00646876i
\(175\) 2.49716e16i 0.375544i
\(176\) −6.51621e14 1.82917e15i −0.00938966 0.0263577i
\(177\) 5.82942e16 + 2.14248e16i 0.805056 + 0.295881i
\(178\) −3.29847e16 + 1.70991e16i −0.436679 + 0.226372i
\(179\) 4.73126e15 0.0600591 0.0300296 0.999549i \(-0.490440\pi\)
0.0300296 + 0.999549i \(0.490440\pi\)
\(180\) 1.09495e16 + 4.25093e16i 0.133307 + 0.517536i
\(181\) 3.30439e15 0.0385925 0.0192962 0.999814i \(-0.493857\pi\)
0.0192962 + 0.999814i \(0.493857\pi\)
\(182\) 5.84587e16 3.03046e16i 0.655109 0.339605i
\(183\) −1.08871e17 4.00131e16i −1.17092 0.430347i
\(184\) −1.43252e17 1.96080e16i −1.47900 0.202442i
\(185\) 3.79431e16i 0.376136i
\(186\) −3.60875e16 + 4.57307e15i −0.343565 + 0.0435372i
\(187\) 4.84574e15i 0.0443147i
\(188\) 1.37401e16 1.94807e16i 0.120728 0.171167i
\(189\) −5.42073e16 + 3.06197e16i −0.457714 + 0.258546i
\(190\) −1.61231e16 3.11020e16i −0.130857 0.252427i
\(191\) 2.61282e16 0.203873 0.101936 0.994791i \(-0.467496\pi\)
0.101936 + 0.994791i \(0.467496\pi\)
\(192\) −1.08141e17 7.79018e16i −0.811390 0.584505i
\(193\) −7.78195e16 −0.561576 −0.280788 0.959770i \(-0.590596\pi\)
−0.280788 + 0.959770i \(0.590596\pi\)
\(194\) −4.51476e16 8.70912e16i −0.313416 0.604591i
\(195\) −3.87435e16 + 1.05416e17i −0.258785 + 0.704121i
\(196\) −6.48868e16 + 9.19963e16i −0.417096 + 0.591357i
\(197\) 4.41071e16i 0.272905i 0.990647 + 0.136453i \(0.0435702\pi\)
−0.990647 + 0.136453i \(0.956430\pi\)
\(198\) −1.05327e15 + 4.57761e15i −0.00627407 + 0.0272678i
\(199\) 2.17749e16i 0.124899i 0.998048 + 0.0624494i \(0.0198912\pi\)
−0.998048 + 0.0624494i \(0.980109\pi\)
\(200\) −1.28123e17 1.75372e16i −0.707786 0.0968802i
\(201\) 9.37213e16 2.55004e17i 0.498733 1.35699i
\(202\) 3.33422e17 1.72844e17i 1.70946 0.886174i
\(203\) −5.47492e15 −0.0270494
\(204\) 1.88980e17 + 2.73696e17i 0.899890 + 1.30329i
\(205\) −1.27787e17 −0.586588
\(206\) 2.14605e17 1.11250e17i 0.949807 0.492375i
\(207\) 2.66518e17 + 2.26502e17i 1.13749 + 0.966705i
\(208\) −1.14431e17 3.21219e17i −0.471051 1.32229i
\(209\) 3.74870e15i 0.0148862i
\(210\) 9.21838e15 + 7.27451e16i 0.0353191 + 0.278714i
\(211\) 2.03587e16i 0.0752717i 0.999292 + 0.0376358i \(0.0119827\pi\)
−0.999292 + 0.0376358i \(0.988017\pi\)
\(212\) −1.89023e17 1.33322e17i −0.674522 0.475753i
\(213\) −1.71595e17 6.30663e16i −0.591097 0.217245i
\(214\) −1.18268e17 2.28142e17i −0.393335 0.758755i
\(215\) −2.66090e17 −0.854556
\(216\) 1.19033e17 + 2.99628e17i 0.369202 + 0.929349i
\(217\) −6.07638e16 −0.182053
\(218\) 1.47235e17 + 2.84021e17i 0.426174 + 0.822103i
\(219\) 3.40094e17 + 1.24994e17i 0.951192 + 0.349591i
\(220\) 4.52098e15 + 3.18873e15i 0.0122197 + 0.00861882i
\(221\) 8.50958e17i 2.22314i
\(222\) −3.50343e16 2.76466e17i −0.0884802 0.698225i
\(223\) 5.07606e16i 0.123948i 0.998078 + 0.0619741i \(0.0197396\pi\)
−0.998078 + 0.0619741i \(0.980260\pi\)
\(224\) −1.62849e17 1.51807e17i −0.384526 0.358452i
\(225\) 2.38371e17 + 2.02581e17i 0.544358 + 0.462625i
\(226\) 2.37320e16 1.23025e16i 0.0524229 0.0271757i
\(227\) 2.92651e17 0.625396 0.312698 0.949853i \(-0.398767\pi\)
0.312698 + 0.949853i \(0.398767\pi\)
\(228\) −1.46196e17 2.11733e17i −0.302290 0.437801i
\(229\) −2.19585e17 −0.439375 −0.219688 0.975570i \(-0.570504\pi\)
−0.219688 + 0.975570i \(0.570504\pi\)
\(230\) 3.65731e17 1.89593e17i 0.708276 0.367166i
\(231\) −2.70676e15 + 7.36474e15i −0.00507410 + 0.0138060i
\(232\) −3.84495e15 + 2.80904e16i −0.00697800 + 0.0509798i
\(233\) 1.89993e17i 0.333863i 0.985968 + 0.166932i \(0.0533859\pi\)
−0.985968 + 0.166932i \(0.946614\pi\)
\(234\) −1.84964e17 + 8.03872e17i −0.314751 + 1.36794i
\(235\) 6.79204e16i 0.111941i
\(236\) 3.09660e17 4.39035e17i 0.494362 0.700905i
\(237\) 4.28494e17 1.16588e18i 0.662724 1.80319i
\(238\) 2.55698e17 + 4.93249e17i 0.383177 + 0.739162i
\(239\) −9.61316e17 −1.39599 −0.697994 0.716103i \(-0.745924\pi\)
−0.697994 + 0.716103i \(0.745924\pi\)
\(240\) 3.79710e17 + 3.79058e15i 0.534402 + 0.00533485i
\(241\) 6.77710e17 0.924519 0.462260 0.886745i \(-0.347039\pi\)
0.462260 + 0.886745i \(0.347039\pi\)
\(242\) −3.47737e17 6.70795e17i −0.459870 0.887104i
\(243\) 1.47468e17 7.65846e17i 0.189082 0.981961i
\(244\) −5.78322e17 + 8.19943e17i −0.719028 + 1.01944i
\(245\) 3.20749e17i 0.386740i
\(246\) −9.31102e17 + 1.17991e17i −1.08889 + 0.137986i
\(247\) 6.58307e17i 0.746794i
\(248\) −4.26735e16 + 3.11764e17i −0.0469646 + 0.343113i
\(249\) −1.02408e18 3.76381e17i −1.09356 0.401913i
\(250\) 7.84989e17 4.06934e17i 0.813417 0.421671i
\(251\) −1.20926e17 −0.121609 −0.0608045 0.998150i \(-0.519367\pi\)
−0.0608045 + 0.998150i \(0.519367\pi\)
\(252\) 1.34337e17 + 5.21535e17i 0.131127 + 0.509072i
\(253\) 4.40812e16 0.0417686
\(254\) 3.84397e17 1.99269e17i 0.353612 0.183310i
\(255\) −8.89456e17 3.26901e17i −0.794462 0.291988i
\(256\) −8.93249e17 + 7.28926e17i −0.774770 + 0.632243i
\(257\) 5.02418e17i 0.423220i −0.977354 0.211610i \(-0.932129\pi\)
0.977354 0.211610i \(-0.0678707\pi\)
\(258\) −1.93883e18 + 2.45692e17i −1.58632 + 0.201021i
\(259\) 4.65512e17i 0.369984i
\(260\) 7.93927e17 + 5.59972e17i 0.613028 + 0.432380i
\(261\) 4.44149e16 5.22618e16i 0.0333215 0.0392085i
\(262\) 1.03160e18 + 1.99000e18i 0.752062 + 1.45075i
\(263\) 7.04783e17 0.499329 0.249665 0.968332i \(-0.419680\pi\)
0.249665 + 0.968332i \(0.419680\pi\)
\(264\) 3.58857e16 + 1.90598e16i 0.0247111 + 0.0131247i
\(265\) 6.59037e17 0.441129
\(266\) −1.97809e17 3.81581e17i −0.128717 0.248299i
\(267\) 2.68201e17 7.29741e17i 0.169678 0.461673i
\(268\) −1.92053e18 1.35458e18i −1.18143 0.833288i
\(269\) 9.89646e17i 0.592022i 0.955185 + 0.296011i \(0.0956565\pi\)
−0.955185 + 0.296011i \(0.904344\pi\)
\(270\) −7.69185e17 5.02144e17i −0.447510 0.292146i
\(271\) 1.84926e18i 1.04647i 0.852187 + 0.523237i \(0.175276\pi\)
−0.852187 + 0.523237i \(0.824724\pi\)
\(272\) 2.71031e18 9.65519e17i 1.49194 0.531488i
\(273\) −4.75332e17 + 1.29332e18i −0.254553 + 0.692605i
\(274\) 1.14417e18 5.93131e17i 0.596157 0.309045i
\(275\) 3.94258e16 0.0199887
\(276\) 2.48978e18 1.71913e18i 1.22841 0.848186i
\(277\) 2.54416e18 1.22165 0.610825 0.791766i \(-0.290838\pi\)
0.610825 + 0.791766i \(0.290838\pi\)
\(278\) −2.36411e18 + 1.22554e18i −1.10492 + 0.572785i
\(279\) 4.92942e17 5.80032e17i 0.224267 0.263888i
\(280\) 6.28453e17 + 8.60212e16i 0.278348 + 0.0380996i
\(281\) 2.23570e18i 0.964089i 0.876147 + 0.482044i \(0.160106\pi\)
−0.876147 + 0.482044i \(0.839894\pi\)
\(282\) 6.27135e16 + 4.94892e17i 0.0263325 + 0.207798i
\(283\) 9.55778e17i 0.390804i 0.980723 + 0.195402i \(0.0626011\pi\)
−0.980723 + 0.195402i \(0.937399\pi\)
\(284\) −9.11517e17 + 1.29235e18i −0.362975 + 0.514626i
\(285\) 6.88089e17 + 2.52893e17i 0.266875 + 0.0980843i
\(286\) 4.78457e16 + 9.22959e16i 0.0180758 + 0.0348688i
\(287\) −1.56778e18 −0.576994
\(288\) 2.77020e18 3.22982e17i 0.993272 0.115807i
\(289\) −4.31760e18 −1.50837
\(290\) −3.71774e16 7.17165e16i −0.0126559 0.0244137i
\(291\) 1.92678e18 + 7.08146e17i 0.639196 + 0.234923i
\(292\) 1.80658e18 2.56137e18i 0.584100 0.828135i
\(293\) 3.91767e18i 1.23458i −0.786734 0.617292i \(-0.788230\pi\)
0.786734 0.617292i \(-0.211770\pi\)
\(294\) −2.96160e17 2.33709e18i −0.0909749 0.717910i
\(295\) 1.53071e18i 0.458383i
\(296\) −2.38842e18 3.26922e17i −0.697307 0.0954457i
\(297\) −4.83431e16 8.55838e16i −0.0137613 0.0243623i
\(298\) 2.74975e18 1.42546e18i 0.763259 0.395669i
\(299\) 7.74108e18 2.09540
\(300\) 2.22683e18 1.53757e18i 0.587866 0.405907i
\(301\) −3.26458e18 −0.840580
\(302\) −5.76159e18 + 2.98678e18i −1.44707 + 0.750155i
\(303\) −2.71108e18 + 7.37650e18i −0.664236 + 1.80730i
\(304\) −2.09671e18 + 7.46931e17i −0.501172 + 0.178537i
\(305\) 2.85877e18i 0.666699i
\(306\) −6.78273e18 1.56065e18i −1.54345 0.355135i
\(307\) 2.91302e18i 0.646853i −0.946253 0.323426i \(-0.895165\pi\)
0.946253 0.323426i \(-0.104835\pi\)
\(308\) 5.54665e16 + 3.91216e16i 0.0120199 + 0.00847786i
\(309\) −1.74497e18 + 4.74784e18i −0.369062 + 1.00417i
\(310\) −4.12616e17 7.95950e17i −0.0851792 0.164314i
\(311\) −8.95070e18 −1.80366 −0.901829 0.432094i \(-0.857775\pi\)
−0.901829 + 0.432094i \(0.857775\pi\)
\(312\) 6.30187e18 + 3.34709e18i 1.23968 + 0.658427i
\(313\) −2.79248e18 −0.536300 −0.268150 0.963377i \(-0.586412\pi\)
−0.268150 + 0.963377i \(0.586412\pi\)
\(314\) 9.17024e17 + 1.76897e18i 0.171952 + 0.331702i
\(315\) −1.16923e18 9.93673e17i −0.214077 0.181934i
\(316\) −8.78066e18 6.19317e18i −1.56991 1.10729i
\(317\) 5.57732e18i 0.973826i −0.873450 0.486913i \(-0.838123\pi\)
0.873450 0.486913i \(-0.161877\pi\)
\(318\) 4.80198e18 6.08515e17i 0.818873 0.103769i
\(319\) 8.64393e15i 0.00143973i
\(320\) 8.82706e17 3.16402e18i 0.143612 0.514772i
\(321\) 5.04733e18 + 1.85504e18i 0.802184 + 0.294826i
\(322\) 4.48704e18 2.32606e18i 0.696692 0.361161i
\(323\) 5.55451e18 0.842611
\(324\) −6.06820e18 2.94858e18i −0.899440 0.437044i
\(325\) 6.92354e18 1.00277
\(326\) 9.08001e18 4.70703e18i 1.28515 0.666215i
\(327\) −6.28357e18 2.30940e18i −0.869157 0.319441i
\(328\) −1.10103e18 + 8.04389e18i −0.148849 + 1.08746i
\(329\) 8.33295e17i 0.110111i
\(330\) −1.14852e17 + 1.45542e16i −0.0148348 + 0.00187990i
\(331\) 5.40300e18i 0.682221i −0.940023 0.341110i \(-0.889197\pi\)
0.940023 0.341110i \(-0.110803\pi\)
\(332\) −5.43995e18 + 7.71275e18i −0.671521 + 0.952081i
\(333\) 4.44363e18 + 3.77644e18i 0.536298 + 0.455775i
\(334\) 4.30949e17 + 8.31315e17i 0.0508543 + 0.0980995i
\(335\) 6.69599e18 0.772643
\(336\) 4.65856e18 + 4.65056e16i 0.525662 + 0.00524760i
\(337\) 5.89353e18 0.650357 0.325178 0.945653i \(-0.394576\pi\)
0.325178 + 0.945653i \(0.394576\pi\)
\(338\) 4.13783e18 + 7.98201e18i 0.446578 + 0.861464i
\(339\) −1.92967e17 + 5.25038e17i −0.0203697 + 0.0554234i
\(340\) −4.72480e18 + 6.69882e18i −0.487856 + 0.691682i
\(341\) 9.59353e16i 0.00968993i
\(342\) 5.24716e18 + 1.20732e18i 0.518476 + 0.119297i
\(343\) 9.37311e18i 0.906104i
\(344\) −2.29267e18 + 1.67497e19i −0.216847 + 1.58424i
\(345\) −2.97379e18 + 8.09130e18i −0.275211 + 0.748816i
\(346\) −3.29207e18 + 1.70659e18i −0.298125 + 0.154546i
\(347\) 9.15634e18 0.811429 0.405715 0.914000i \(-0.367023\pi\)
0.405715 + 0.914000i \(0.367023\pi\)
\(348\) −3.37106e17 4.88224e17i −0.0292363 0.0423423i
\(349\) −9.99695e18 −0.848548 −0.424274 0.905534i \(-0.639471\pi\)
−0.424274 + 0.905534i \(0.639471\pi\)
\(350\) 4.01316e18 2.08040e18i 0.333408 0.172837i
\(351\) −8.48950e18 1.50293e19i −0.690365 1.22218i
\(352\) 2.39676e17 2.57110e17i 0.0190790 0.0204668i
\(353\) 1.19492e19i 0.931171i −0.885003 0.465585i \(-0.845844\pi\)
0.885003 0.465585i \(-0.154156\pi\)
\(354\) 1.41337e18 + 1.11533e19i 0.107828 + 0.850902i
\(355\) 4.50582e18i 0.336559i
\(356\) −5.49594e18 3.87639e18i −0.401946 0.283500i
\(357\) −1.09125e19 4.01065e18i −0.781469 0.287212i
\(358\) 3.94164e17 + 7.60355e17i 0.0276410 + 0.0533205i
\(359\) −2.10011e19 −1.44223 −0.721115 0.692816i \(-0.756370\pi\)
−0.721115 + 0.692816i \(0.756370\pi\)
\(360\) −5.91941e18 + 5.30117e18i −0.398116 + 0.356536i
\(361\) 1.08841e19 0.716951
\(362\) 2.75291e17 + 5.31045e17i 0.0177614 + 0.0342624i
\(363\) 1.48404e19 + 5.45429e18i 0.937880 + 0.344698i
\(364\) 9.74045e18 + 6.87013e18i 0.603002 + 0.425309i
\(365\) 8.93033e18i 0.541590i
\(366\) −2.63961e18 2.08300e19i −0.156831 1.23760i
\(367\) 1.93513e19i 1.12646i 0.826301 + 0.563229i \(0.190441\pi\)
−0.826301 + 0.563229i \(0.809559\pi\)
\(368\) −8.78323e18 2.46554e19i −0.500951 1.40622i
\(369\) 1.27185e19 1.49655e19i 0.710787 0.836363i
\(370\) 6.09779e18 3.16106e18i 0.333933 0.173109i
\(371\) 8.08553e18 0.433915
\(372\) −3.74140e18 5.41859e18i −0.196771 0.284980i
\(373\) 3.61770e18 0.186473 0.0932366 0.995644i \(-0.470279\pi\)
0.0932366 + 0.995644i \(0.470279\pi\)
\(374\) −7.78754e17 + 4.03702e17i −0.0393426 + 0.0203950i
\(375\) −6.38281e18 + 1.73668e19i −0.316066 + 0.859975i
\(376\) 4.27542e18 + 5.85210e17i 0.207525 + 0.0284055i
\(377\) 1.51796e18i 0.0722269i
\(378\) −9.43690e18 6.16066e18i −0.440191 0.287368i
\(379\) 2.86795e18i 0.131153i 0.997848 + 0.0655764i \(0.0208886\pi\)
−0.997848 + 0.0655764i \(0.979111\pi\)
\(380\) 3.65514e18 5.18224e18i 0.163880 0.232349i
\(381\) −3.12556e18 + 8.50426e18i −0.137401 + 0.373851i
\(382\) 2.17676e18 + 4.19904e18i 0.0938285 + 0.180998i
\(383\) −3.73893e19 −1.58036 −0.790181 0.612873i \(-0.790014\pi\)
−0.790181 + 0.612873i \(0.790014\pi\)
\(384\) 3.51024e18 2.38692e19i 0.145497 0.989359i
\(385\) −1.93386e17 −0.00786087
\(386\) −6.48319e18 1.25063e19i −0.258454 0.498567i
\(387\) 2.64837e19 3.11627e19i 1.03549 1.21843i
\(388\) 1.02351e19 1.45112e19i 0.392512 0.556502i
\(389\) 1.22034e19i 0.459050i 0.973303 + 0.229525i \(0.0737172\pi\)
−0.973303 + 0.229525i \(0.926283\pi\)
\(390\) −2.01690e19 + 2.55586e18i −0.744219 + 0.0943087i
\(391\) 6.53160e19i 2.36425i
\(392\) −2.01904e19 2.76361e18i −0.716967 0.0981368i
\(393\) −4.40260e19 1.61808e19i −1.53379 0.563712i
\(394\) −7.08841e18 + 3.67459e18i −0.242285 + 0.125599i
\(395\) 3.06141e19 1.02670
\(396\) −8.23411e17 + 2.12094e17i −0.0270959 + 0.00697934i
\(397\) −3.91968e19 −1.26567 −0.632837 0.774285i \(-0.718110\pi\)
−0.632837 + 0.774285i \(0.718110\pi\)
\(398\) −3.49942e18 + 1.81408e18i −0.110885 + 0.0574823i
\(399\) 8.44196e18 + 3.10266e18i 0.262510 + 0.0964802i
\(400\) −7.85562e18 2.20515e19i −0.239735 0.672959i
\(401\) 3.09431e19i 0.926789i 0.886152 + 0.463394i \(0.153369\pi\)
−0.886152 + 0.463394i \(0.846631\pi\)
\(402\) 4.87894e19 6.18267e18i 1.43427 0.181753i
\(403\) 1.68472e19i 0.486115i
\(404\) 5.55551e19 + 3.91841e19i 1.57349 + 1.10981i
\(405\) 1.89706e19 3.09996e18i 0.527433 0.0861873i
\(406\) −4.56119e17 8.79868e17i −0.0124489 0.0240144i
\(407\) 7.34962e17 0.0196928
\(408\) −2.82413e19 + 5.31725e19i −0.742905 + 1.39874i
\(409\) 2.59858e19 0.671138 0.335569 0.942016i \(-0.391071\pi\)
0.335569 + 0.942016i \(0.391071\pi\)
\(410\) −1.06460e19 2.05365e19i −0.269966 0.520772i
\(411\) −9.30333e18 + 2.53132e19i −0.231646 + 0.630279i
\(412\) 3.57577e19 + 2.52206e19i 0.874260 + 0.616632i
\(413\) 1.87799e19i 0.450887i
\(414\) −1.41970e19 + 6.17018e19i −0.334730 + 1.45477i
\(415\) 2.68908e19i 0.622649i
\(416\) 4.20895e19 4.51510e19i 0.957135 1.02676i
\(417\) 1.92227e19 5.23027e19i 0.429334 1.16816i
\(418\) 6.02449e17 3.12306e17i 0.0132159 0.00685107i
\(419\) 5.98738e19 1.29012 0.645062 0.764130i \(-0.276832\pi\)
0.645062 + 0.764130i \(0.276832\pi\)
\(420\) −1.09228e19 + 7.54191e18i −0.231187 + 0.159629i
\(421\) 2.82618e19 0.587604 0.293802 0.955866i \(-0.405079\pi\)
0.293802 + 0.955866i \(0.405079\pi\)
\(422\) −3.27182e18 + 1.69610e18i −0.0668262 + 0.0346423i
\(423\) −7.95436e18 6.76005e18i −0.159607 0.135643i
\(424\) 5.67835e18 4.14848e19i 0.111938 0.817796i
\(425\) 5.84179e19i 1.13143i
\(426\) −4.16040e18 3.28310e19i −0.0791705 0.624758i
\(427\) 3.50734e19i 0.655795i
\(428\) 2.68115e19 3.80133e19i 0.492598 0.698405i
\(429\) −2.04192e18 7.50466e17i −0.0368646 0.0135488i
\(430\) −2.21681e19 4.27631e19i −0.393293 0.758675i
\(431\) −7.47783e19 −1.30376 −0.651878 0.758324i \(-0.726018\pi\)
−0.651878 + 0.758324i \(0.726018\pi\)
\(432\) −3.82362e19 + 4.40918e19i −0.655158 + 0.755492i
\(433\) −1.04109e19 −0.175318 −0.0876592 0.996151i \(-0.527939\pi\)
−0.0876592 + 0.996151i \(0.527939\pi\)
\(434\) −5.06227e18 9.76528e18i −0.0837861 0.161626i
\(435\) 1.58663e18 + 5.83132e17i 0.0258111 + 0.00948632i
\(436\) −3.33784e19 + 4.73238e19i −0.533725 + 0.756713i
\(437\) 5.05288e19i 0.794198i
\(438\) 8.24572e18 + 6.50695e19i 0.127401 + 1.00536i
\(439\) 8.51076e19i 1.29266i −0.763058 0.646330i \(-0.776303\pi\)
0.763058 0.646330i \(-0.223697\pi\)
\(440\) −1.35812e17 + 9.92216e17i −0.00202789 + 0.0148153i
\(441\) 3.75639e19 + 3.19238e19i 0.551418 + 0.468625i
\(442\) −1.36757e20 + 7.08938e19i −1.97370 + 1.02316i
\(443\) −9.85130e19 −1.39787 −0.698933 0.715187i \(-0.746342\pi\)
−0.698933 + 0.715187i \(0.746342\pi\)
\(444\) 4.15119e19 2.86629e19i 0.579162 0.399897i
\(445\) 1.91618e19 0.262868
\(446\) −8.15768e18 + 4.22890e18i −0.110041 + 0.0570447i
\(447\) −2.23585e19 + 6.08346e19i −0.296576 + 0.806946i
\(448\) 1.08297e19 3.88184e19i 0.141263 0.506353i
\(449\) 1.19126e19i 0.152812i −0.997077 0.0764061i \(-0.975655\pi\)
0.997077 0.0764061i \(-0.0243445\pi\)
\(450\) −1.26977e19 + 5.51854e19i −0.160188 + 0.696195i
\(451\) 2.47525e18i 0.0307111i
\(452\) 3.95425e18 + 2.78901e18i 0.0482532 + 0.0340339i
\(453\) 4.68480e19 1.27467e20i 0.562282 1.52990i
\(454\) 2.43809e19 + 4.70315e19i 0.287826 + 0.555227i
\(455\) −3.39605e19 −0.394356
\(456\) 2.18476e19 4.11346e19i 0.249556 0.469863i
\(457\) −1.67073e20 −1.87731 −0.938655 0.344858i \(-0.887927\pi\)
−0.938655 + 0.344858i \(0.887927\pi\)
\(458\) −1.82937e19 3.52892e19i −0.202214 0.390077i
\(459\) 1.26811e20 7.16308e19i 1.37899 0.778941i
\(460\) 6.09385e19 + 4.29811e19i 0.651940 + 0.459826i
\(461\) 1.42111e18i 0.0149579i −0.999972 0.00747896i \(-0.997619\pi\)
0.999972 0.00747896i \(-0.00238065\pi\)
\(462\) −1.40908e18 + 1.78561e17i −0.0145922 + 0.00184915i
\(463\) 1.48475e19i 0.151285i −0.997135 0.0756427i \(-0.975899\pi\)
0.997135 0.0756427i \(-0.0241008\pi\)
\(464\) −4.83470e18 + 1.72231e18i −0.0484713 + 0.0172674i
\(465\) 1.76093e19 + 6.47194e18i 0.173718 + 0.0638465i
\(466\) −3.05336e19 + 1.58285e19i −0.296404 + 0.153654i
\(467\) 5.88375e19 0.562053 0.281027 0.959700i \(-0.409325\pi\)
0.281027 + 0.959700i \(0.409325\pi\)
\(468\) −1.44599e20 + 3.72457e19i −1.35932 + 0.350133i
\(469\) 8.21511e19 0.760007
\(470\) −1.09154e19 + 5.65848e18i −0.0993816 + 0.0515189i
\(471\) −3.91361e19 1.43836e19i −0.350688 0.128888i
\(472\) 9.63548e19 + 1.31888e19i 0.849783 + 0.116316i
\(473\) 5.15420e18i 0.0447407i
\(474\) 2.23065e20 2.82672e19i 1.90587 0.241516i
\(475\) 4.51924e19i 0.380070i
\(476\) −5.79672e19 + 8.21858e19i −0.479877 + 0.680369i
\(477\) −6.55934e19 + 7.71819e19i −0.534530 + 0.628966i
\(478\) −8.00878e19 1.54492e20i −0.642476 1.23936i
\(479\) 6.44754e18 0.0509188 0.0254594 0.999676i \(-0.491895\pi\)
0.0254594 + 0.999676i \(0.491895\pi\)
\(480\) 3.10247e19 + 6.13386e19i 0.241212 + 0.476897i
\(481\) 1.29066e20 0.987926
\(482\) 5.64604e19 + 1.08914e20i 0.425492 + 0.820788i
\(483\) −3.64845e19 + 9.92697e19i −0.270710 + 0.736569i
\(484\) 7.88326e19 1.11769e20i 0.575925 0.816545i
\(485\) 5.05941e19i 0.363946i
\(486\) 1.35364e20 4.01037e19i 0.958806 0.284061i
\(487\) 9.60597e19i 0.669999i 0.942218 + 0.334999i \(0.108736\pi\)
−0.942218 + 0.334999i \(0.891264\pi\)
\(488\) −1.79953e20 2.46315e19i −1.23597 0.169177i
\(489\) −7.38303e19 + 2.00883e20i −0.499365 + 1.35871i
\(490\) 5.15472e19 2.67218e19i 0.343348 0.177990i
\(491\) 1.80118e20 1.18153 0.590766 0.806843i \(-0.298826\pi\)
0.590766 + 0.806843i \(0.298826\pi\)
\(492\) −9.65328e19 1.39806e20i −0.623644 0.903210i
\(493\) 1.28079e19 0.0814939
\(494\) 1.05796e20 5.48439e19i 0.663004 0.343697i
\(495\) 1.56883e18 1.84600e18i 0.00968363 0.0113945i
\(496\) −5.36583e19 + 1.91152e19i −0.326231 + 0.116216i
\(497\) 5.52806e19i 0.331055i
\(498\) −2.48294e19 1.95936e20i −0.146469 1.15583i
\(499\) 3.33716e20i 1.93920i 0.244698 + 0.969599i \(0.421311\pi\)
−0.244698 + 0.969599i \(0.578689\pi\)
\(500\) 1.30796e20 + 9.22528e19i 0.748719 + 0.528086i
\(501\) −1.83917e19 6.75949e18i −0.103714 0.0381181i
\(502\) −1.00744e19 1.94338e19i −0.0559682 0.107964i
\(503\) 1.39726e20 0.764748 0.382374 0.924008i \(-0.375107\pi\)
0.382374 + 0.924008i \(0.375107\pi\)
\(504\) −7.26236e19 + 6.50385e19i −0.391605 + 0.350704i
\(505\) −1.93695e20 −1.02904
\(506\) 3.67243e18 + 7.08425e18i 0.0192232 + 0.0370821i
\(507\) −1.76591e20 6.49024e19i −0.910771 0.334735i
\(508\) 6.40486e19 + 4.51747e19i 0.325486 + 0.229571i
\(509\) 4.77462e19i 0.239087i 0.992829 + 0.119543i \(0.0381431\pi\)
−0.992829 + 0.119543i \(0.961857\pi\)
\(510\) −2.15652e19 1.70178e20i −0.106409 0.839705i
\(511\) 1.09564e20i 0.532733i
\(512\) −1.91562e20 8.28258e19i −0.917878 0.396864i
\(513\) −9.81019e19 + 5.54140e19i −0.463230 + 0.261661i
\(514\) 8.07430e19 4.18567e19i 0.375735 0.194779i
\(515\) −1.24671e20 −0.571755
\(516\) −2.01010e20 2.91118e20i −0.908540 1.31582i
\(517\) −1.31563e18 −0.00586075
\(518\) 7.48119e19 3.87821e19i 0.328472 0.170278i
\(519\) 2.67681e19 7.28327e19i 0.115841 0.315189i
\(520\) −2.38499e19 + 1.74243e20i −0.101733 + 0.743240i
\(521\) 3.52630e20i 1.48264i −0.671151 0.741321i \(-0.734200\pi\)
0.671151 0.741321i \(-0.265800\pi\)
\(522\) 1.20992e19 + 2.78391e18i 0.0501449 + 0.0115379i
\(523\) 1.26595e20i 0.517194i −0.965985 0.258597i \(-0.916740\pi\)
0.965985 0.258597i \(-0.0832602\pi\)
\(524\) −2.33867e20 + 3.31576e20i −0.941855 + 1.33536i
\(525\) −3.26313e19 + 8.87857e19i −0.129551 + 0.352491i
\(526\) 5.87159e19 + 1.13265e20i 0.229807 + 0.443304i
\(527\) 1.42149e20 0.548485
\(528\) −7.34241e16 + 7.35504e18i −0.000279308 + 0.0279789i
\(529\) 3.27538e20 1.22841
\(530\) 5.49048e19 + 1.05913e20i 0.203021 + 0.391634i
\(531\) −1.79267e20 1.52351e20i −0.653568 0.555437i
\(532\) 4.48438e19 6.35794e19i 0.161200 0.228549i
\(533\) 4.34678e20i 1.54068i
\(534\) 1.39620e20 1.76929e19i 0.487964 0.0618357i
\(535\) 1.32535e20i 0.456748i
\(536\) 5.76935e19 4.21497e20i 0.196061 1.43238i
\(537\) −1.68218e19 6.18251e18i −0.0563724 0.0207185i
\(538\) −1.59045e20 + 8.24480e19i −0.525597 + 0.272466i
\(539\) 6.21294e18 0.0202480
\(540\) 1.66178e19 1.65449e20i 0.0534097 0.531753i
\(541\) −4.04642e20 −1.28260 −0.641300 0.767290i \(-0.721605\pi\)
−0.641300 + 0.767290i \(0.721605\pi\)
\(542\) −2.97193e20 + 1.54063e20i −0.929060 + 0.481619i
\(543\) −1.17487e19 4.31797e18i −0.0362234 0.0133132i
\(544\) 3.80965e20 + 3.55133e20i 1.15849 + 1.07994i
\(545\) 1.64997e20i 0.494881i
\(546\) −2.47448e20 + 3.13570e19i −0.732047 + 0.0927663i
\(547\) 1.99918e20i 0.583374i −0.956514 0.291687i \(-0.905783\pi\)
0.956514 0.291687i \(-0.0942166\pi\)
\(548\) 1.90643e20 + 1.34464e20i 0.548739 + 0.387036i
\(549\) 3.34799e20 + 2.84530e20i 0.950587 + 0.807860i
\(550\) 3.28458e18 + 6.33607e18i 0.00919941 + 0.0177460i
\(551\) −9.90825e18 −0.0273754
\(552\) 4.83705e20 + 2.56908e20i 1.31837 + 0.700221i
\(553\) 3.75596e20 1.00991
\(554\) 2.11956e20 + 4.08870e20i 0.562240 + 1.08458i
\(555\) −4.95816e19 + 1.34905e20i −0.129755 + 0.353046i
\(556\) −3.93910e20 2.77833e20i −1.01704 0.717335i
\(557\) 5.14003e20i 1.30934i 0.755916 + 0.654669i \(0.227192\pi\)
−0.755916 + 0.654669i \(0.772808\pi\)
\(558\) 1.34284e20 + 3.08974e19i 0.337494 + 0.0776544i
\(559\) 9.05127e20i 2.24451i
\(560\) 3.85324e19 + 1.08164e20i 0.0942792 + 0.264651i
\(561\) 6.33211e18 1.72289e19i 0.0152872 0.0415945i
\(562\) −3.59298e20 + 1.86258e20i −0.855917 + 0.443703i
\(563\) −5.09594e20 −1.19787 −0.598937 0.800796i \(-0.704410\pi\)
−0.598937 + 0.800796i \(0.704410\pi\)
\(564\) −7.43088e19 + 5.13083e19i −0.172364 + 0.119013i
\(565\) −1.37867e19 −0.0315570
\(566\) −1.53602e20 + 7.96264e19i −0.346955 + 0.179860i
\(567\) 2.32744e20 3.80325e19i 0.518807 0.0847778i
\(568\) −2.83631e20 3.88227e19i −0.623937 0.0854031i
\(569\) 7.13752e20i 1.54955i 0.632237 + 0.774775i \(0.282137\pi\)
−0.632237 + 0.774775i \(0.717863\pi\)
\(570\) 1.66830e19 + 1.31651e20i 0.0357448 + 0.282073i
\(571\) 1.62706e20i 0.344060i 0.985092 + 0.172030i \(0.0550326\pi\)
−0.985092 + 0.172030i \(0.944967\pi\)
\(572\) −1.08467e19 + 1.53785e19i −0.0226375 + 0.0320954i
\(573\) −9.28980e19 3.41427e19i −0.191358 0.0703297i
\(574\) −1.30613e20 2.51957e20i −0.265550 0.512255i
\(575\) 5.31422e20 1.06643
\(576\) 2.82693e20 + 4.18289e20i 0.559947 + 0.828528i
\(577\) 3.74576e20 0.732354 0.366177 0.930545i \(-0.380666\pi\)
0.366177 + 0.930545i \(0.380666\pi\)
\(578\) −3.59702e20 6.93877e20i −0.694199 1.33913i
\(579\) 2.76685e20 + 1.01690e20i 0.527104 + 0.193726i
\(580\) 8.42820e18 1.19495e19i 0.0158498 0.0224719i
\(581\) 3.29916e20i 0.612466i
\(582\) 4.67155e19 + 3.68646e20i 0.0856127 + 0.675596i
\(583\) 1.27656e19i 0.0230955i
\(584\) 5.62143e20 + 7.69448e19i 1.00404 + 0.137430i
\(585\) 2.75502e20 3.24176e20i 0.485798 0.571626i
\(586\) 6.29605e20 3.26384e20i 1.09606 0.568193i
\(587\) −6.77352e20 −1.16420 −0.582101 0.813116i \(-0.697769\pi\)
−0.582101 + 0.813116i \(0.697769\pi\)
\(588\) 3.50918e20 2.42300e20i 0.595491 0.411172i
\(589\) −1.09967e20 −0.184247
\(590\) −2.45999e20 + 1.27525e20i −0.406953 + 0.210962i
\(591\) 5.76364e19 1.56821e20i 0.0941436 0.256153i
\(592\) −1.46442e20 4.11077e20i −0.236185 0.662995i
\(593\) 9.95393e20i 1.58520i −0.609741 0.792601i \(-0.708727\pi\)
0.609741 0.792601i \(-0.291273\pi\)
\(594\) 9.72659e18 1.48992e19i 0.0152955 0.0234296i
\(595\) 2.86544e20i 0.444953i
\(596\) 4.58167e20 + 3.23154e20i 0.702550 + 0.495522i
\(597\) 2.84541e19 7.74200e19i 0.0430861 0.117232i
\(598\) 6.44914e20 + 1.24406e21i 0.964369 + 1.86030i
\(599\) 5.98207e20 0.883385 0.441693 0.897166i \(-0.354378\pi\)
0.441693 + 0.897166i \(0.354378\pi\)
\(600\) 4.32621e20 + 2.29776e20i 0.630918 + 0.335097i
\(601\) −1.11087e21 −1.59995 −0.799974 0.600034i \(-0.795154\pi\)
−0.799974 + 0.600034i \(0.795154\pi\)
\(602\) −2.71974e20 5.24648e20i −0.386860 0.746266i
\(603\) −6.66446e20 + 7.84188e20i −0.936235 + 1.10164i
\(604\) −9.60004e20 6.77109e20i −1.33197 0.939467i
\(605\) 3.89686e20i 0.534010i
\(606\) −1.41133e21 + 1.78846e20i −1.91022 + 0.242067i
\(607\) 9.75911e20i 1.30465i 0.757938 + 0.652326i \(0.226207\pi\)
−0.757938 + 0.652326i \(0.773793\pi\)
\(608\) −2.94717e20 2.74733e20i −0.389160 0.362772i
\(609\) 1.94659e19 + 7.15428e18i 0.0253889 + 0.00933117i
\(610\) 4.59429e20 2.38166e20i 0.591895 0.306835i
\(611\) −2.31036e20 −0.294016
\(612\) −3.14264e20 1.22006e21i −0.395056 1.53372i
\(613\) −7.27082e20 −0.902880 −0.451440 0.892301i \(-0.649090\pi\)
−0.451440 + 0.892301i \(0.649090\pi\)
\(614\) 4.68148e20 2.42685e20i 0.574276 0.297701i
\(615\) 4.54343e20 + 1.66984e20i 0.550580 + 0.202354i
\(616\) −1.66624e18 + 1.21732e19i −0.00199472 + 0.0145730i
\(617\) 7.45427e20i 0.881590i 0.897608 + 0.440795i \(0.145303\pi\)
−0.897608 + 0.440795i \(0.854697\pi\)
\(618\) −9.08395e20 + 1.15113e20i −1.06136 + 0.134497i
\(619\) 4.21764e20i 0.486844i 0.969921 + 0.243422i \(0.0782699\pi\)
−0.969921 + 0.243422i \(0.921730\pi\)
\(620\) 9.35410e19 1.32622e20i 0.106675 0.151244i
\(621\) −6.51619e20 1.15359e21i −0.734187 1.29976i
\(622\) −7.45688e20 1.43846e21i −0.830098 1.60129i
\(623\) 2.35091e20 0.258568
\(624\) −1.28940e19 + 1.29161e21i −0.0140121 + 1.40362i
\(625\) 2.09299e20 0.224733
\(626\) −2.32643e20 4.48776e20i −0.246821 0.476126i
\(627\) −4.89856e18 + 1.33284e19i −0.00513525 + 0.0139724i
\(628\) −2.07891e20 + 2.94748e20i −0.215347 + 0.305319i
\(629\) 1.08901e21i 1.11468i
\(630\) 6.22830e19 2.70689e20i 0.0629964 0.273789i
\(631\) 4.96826e20i 0.496574i −0.968687 0.248287i \(-0.920132\pi\)
0.968687 0.248287i \(-0.0798676\pi\)
\(632\) 2.63775e20 1.92709e21i 0.260529 1.90337i
\(633\) 2.66035e19 7.23847e19i 0.0259663 0.0706511i
\(634\) 8.96325e20 4.64650e20i 0.864562 0.448184i
\(635\) −2.23308e20 −0.212864
\(636\) 4.97849e20 + 7.21024e20i 0.468996 + 0.679237i
\(637\) 1.09105e21 1.01578
\(638\) 1.38916e18 7.20131e17i 0.00127819 0.000662608i
\(639\) 5.27691e20 + 4.48460e20i 0.479869 + 0.407819i
\(640\) 5.82025e20 1.21738e20i 0.523109 0.109415i
\(641\) 9.69439e20i 0.861163i 0.902552 + 0.430582i \(0.141692\pi\)
−0.902552 + 0.430582i \(0.858308\pi\)
\(642\) 1.22375e20 + 9.65696e20i 0.107443 + 0.847867i
\(643\) 1.39592e21i 1.21138i 0.795702 + 0.605688i \(0.207102\pi\)
−0.795702 + 0.605688i \(0.792898\pi\)
\(644\) 7.47636e20 + 5.27322e20i 0.641278 + 0.452306i
\(645\) 9.46075e20 + 3.47710e20i 0.802099 + 0.294795i
\(646\) 4.62750e20 + 8.92659e20i 0.387795 + 0.748069i
\(647\) −1.63196e20 −0.135184 −0.0675922 0.997713i \(-0.521532\pi\)
−0.0675922 + 0.997713i \(0.521532\pi\)
\(648\) −3.16823e19 1.22086e21i −0.0259420 0.999663i
\(649\) −2.96501e19 −0.0239989
\(650\) 5.76804e20 + 1.11267e21i 0.461507 + 0.890262i
\(651\) 2.16044e20 + 7.94023e19i 0.170877 + 0.0628023i
\(652\) 1.51292e21 + 1.06709e21i 1.18293 + 0.834344i
\(653\) 8.17163e19i 0.0631626i 0.999501 + 0.0315813i \(0.0100543\pi\)
−0.999501 + 0.0315813i \(0.989946\pi\)
\(654\) −1.52348e20 1.20222e21i −0.116413 0.918654i
\(655\) 1.15605e21i 0.873309i
\(656\) −1.38445e21 + 4.93196e20i −1.03395 + 0.368333i
\(657\) −1.04586e21 8.88827e20i −0.772205 0.656262i
\(658\) −1.33918e20 + 6.94223e19i −0.0977562 + 0.0506763i
\(659\) −2.12020e20 −0.153016 −0.0765079 0.997069i \(-0.524377\pi\)
−0.0765079 + 0.997069i \(0.524377\pi\)
\(660\) −1.19073e19 1.72452e19i −0.00849641 0.0123052i
\(661\) 1.33600e21 0.942528 0.471264 0.881992i \(-0.343798\pi\)
0.471264 + 0.881992i \(0.343798\pi\)
\(662\) 8.68310e20 4.50127e20i 0.605675 0.313979i
\(663\) 1.11198e21 3.02555e21i 0.766911 2.08667i
\(664\) −1.69271e21 2.31695e20i −1.15431 0.157999i
\(665\) 2.21672e20i 0.149468i
\(666\) −2.36706e20 + 1.02875e21i −0.157816 + 0.685887i
\(667\) 1.16512e20i 0.0768116i
\(668\) −9.76970e19 + 1.38515e20i −0.0636881 + 0.0902968i
\(669\) 6.63308e19 1.80478e20i 0.0427582 0.116340i
\(670\) 5.57847e20 + 1.07611e21i 0.355594 + 0.685952i
\(671\) 5.53747e19 0.0349054
\(672\) 3.80633e20 + 7.52546e20i 0.237267 + 0.469098i
\(673\) −6.15680e20 −0.379526 −0.189763 0.981830i \(-0.560772\pi\)
−0.189763 + 0.981830i \(0.560772\pi\)
\(674\) 4.90994e20 + 9.47143e20i 0.299314 + 0.577386i
\(675\) −5.82800e20 1.03176e21i −0.351351 0.622012i
\(676\) −9.38055e20 + 1.32997e21i −0.559278 + 0.792944i
\(677\) 1.84323e21i 1.08684i −0.839462 0.543418i \(-0.817130\pi\)
0.839462 0.543418i \(-0.182870\pi\)
\(678\) −1.00455e20 + 1.27298e19i −0.0585797 + 0.00742332i
\(679\) 6.20724e20i 0.357993i
\(680\) −1.47019e21 2.01236e20i −0.838601 0.114786i
\(681\) −1.04051e21 3.82417e20i −0.587006 0.215742i
\(682\) 1.54177e19 7.99243e18i 0.00860272 0.00445960i
\(683\) −3.10090e21 −1.71133 −0.855663 0.517534i \(-0.826850\pi\)
−0.855663 + 0.517534i \(0.826850\pi\)
\(684\) 2.43116e20 + 9.43848e20i 0.132707 + 0.515207i
\(685\) −6.64684e20 −0.358869
\(686\) 1.50634e21 7.80879e20i 0.804438 0.417016i
\(687\) 7.80726e20 + 2.86939e20i 0.412404 + 0.151570i
\(688\) −2.88284e21 + 1.02698e21i −1.50628 + 0.536597i
\(689\) 2.24177e21i 1.15863i
\(690\) −1.54809e21 + 1.96177e20i −0.791459 + 0.100295i
\(691\) 8.03769e20i 0.406486i −0.979128 0.203243i \(-0.934852\pi\)
0.979128 0.203243i \(-0.0651482\pi\)
\(692\) −5.48529e20 3.86888e20i −0.274413 0.193548i
\(693\) 1.92476e19 2.26481e19i 0.00952525 0.0112081i
\(694\) 7.62820e20 + 1.47150e21i 0.373444 + 0.720386i
\(695\) 1.37338e21 0.665129
\(696\) 5.03774e19 9.48502e19i 0.0241361 0.0454432i
\(697\) 3.66763e21 1.73836
\(698\) −8.32851e20 1.60660e21i −0.390528 0.753341i
\(699\) 2.48271e20 6.75515e20i 0.115172 0.313369i
\(700\) 6.68677e20 + 4.71631e20i 0.306889 + 0.216455i
\(701\) 2.69397e21i 1.22323i −0.791156 0.611614i \(-0.790521\pi\)
0.791156 0.611614i \(-0.209479\pi\)
\(702\) 1.70808e21 2.61644e21i 0.767327 1.17539i
\(703\) 8.42462e20i 0.374443i
\(704\) 6.12875e19 + 1.70981e19i 0.0269511 + 0.00751889i
\(705\) 8.87541e19 2.41489e20i 0.0386162 0.105070i
\(706\) 1.92035e21 9.95497e20i 0.826693 0.428553i
\(707\) −2.37639e21 −1.01221
\(708\) −1.67469e21 + 1.15633e21i −0.705805 + 0.487340i
\(709\) −8.29783e20 −0.346033 −0.173017 0.984919i \(-0.555351\pi\)
−0.173017 + 0.984919i \(0.555351\pi\)
\(710\) 7.24125e20 3.75383e20i 0.298797 0.154895i
\(711\) −3.04700e21 + 3.58531e21i −1.24408 + 1.46388i
\(712\) 1.65101e20 1.20619e21i 0.0667036 0.487322i
\(713\) 1.29312e21i 0.516971i
\(714\) −2.64577e20 2.08786e21i −0.104669 0.825972i
\(715\) 5.36176e19i 0.0209900i
\(716\) −8.93578e19 + 1.26691e20i −0.0346166 + 0.0490794i
\(717\) 3.41793e21 + 1.25619e21i 1.31030 + 0.481572i
\(718\) −1.74962e21 3.37507e21i −0.663758 1.28041i
\(719\) 1.67240e21 0.627875 0.313937 0.949444i \(-0.398352\pi\)
0.313937 + 0.949444i \(0.398352\pi\)
\(720\) −1.34509e21 5.09659e20i −0.499757 0.189359i
\(721\) −1.52955e21 −0.562404
\(722\) 9.06763e20 + 1.74918e21i 0.329963 + 0.636509i
\(723\) −2.40957e21 8.85589e20i −0.867767 0.318930i
\(724\) −6.24091e19 + 8.84834e19i −0.0222438 + 0.0315372i
\(725\) 1.04207e20i 0.0367588i
\(726\) 3.59813e20 + 2.83939e21i 0.125618 + 0.991290i
\(727\) 1.30312e21i 0.450273i −0.974327 0.225136i \(-0.927717\pi\)
0.974327 0.225136i \(-0.0722828\pi\)
\(728\) −2.92608e20 + 2.13773e21i −0.100069 + 0.731085i
\(729\) −1.52508e21 + 2.53024e21i −0.516221 + 0.856456i
\(730\) −1.43518e21 + 7.43991e20i −0.480824 + 0.249256i
\(731\) 7.63708e21 2.53248
\(732\) 3.12766e21 2.15957e21i 1.02656 0.708816i
\(733\) −2.27379e21 −0.738703 −0.369351 0.929290i \(-0.620420\pi\)
−0.369351 + 0.929290i \(0.620420\pi\)
\(734\) −3.10993e21 + 1.61217e21i −1.00007 + 0.518430i
\(735\) −4.19135e20 + 1.14041e21i −0.133413 + 0.363000i
\(736\) 3.23061e21 3.46560e21i 1.01789 1.09193i
\(737\) 1.29702e20i 0.0404521i
\(738\) 3.46468e21 + 7.97193e20i 1.06965 + 0.246116i
\(739\) 9.31882e20i 0.284792i 0.989810 + 0.142396i \(0.0454806\pi\)
−0.989810 + 0.142396i \(0.954519\pi\)
\(740\) 1.01602e21 + 7.16619e20i 0.307372 + 0.216796i
\(741\) −8.60234e20 + 2.34059e21i −0.257620 + 0.700952i
\(742\) 6.73610e20 + 1.29942e21i 0.199701 + 0.385229i
\(743\) 5.95158e20 0.174669 0.0873345 0.996179i \(-0.472165\pi\)
0.0873345 + 0.996179i \(0.472165\pi\)
\(744\) 5.59117e20 1.05270e21i 0.162445 0.305850i
\(745\) −1.59742e21 −0.459459
\(746\) 3.01393e20 + 5.81397e20i 0.0858206 + 0.165551i
\(747\) 3.14927e21 + 2.67642e21i 0.887780 + 0.754483i
\(748\) −1.29757e20 9.15200e19i −0.0362133 0.0255420i
\(749\) 1.62603e21i 0.449278i
\(750\) −3.32276e21 + 4.21066e20i −0.908948 + 0.115184i
\(751\) 4.22819e21i 1.14513i 0.819859 + 0.572566i \(0.194052\pi\)
−0.819859 + 0.572566i \(0.805948\pi\)
\(752\) 2.62140e20 + 7.35853e20i 0.0702909 + 0.197314i
\(753\) 4.29947e20 + 1.58018e20i 0.114144 + 0.0419512i
\(754\) 2.43949e20 1.26462e20i 0.0641230 0.0332410i
\(755\) 3.34709e21 0.871095
\(756\) 2.03879e20 2.02984e21i 0.0525362 0.523057i
\(757\) −5.12629e21 −1.30793 −0.653964 0.756525i \(-0.726895\pi\)
−0.653964 + 0.756525i \(0.726895\pi\)
\(758\) −4.60905e20 + 2.38930e20i −0.116437 + 0.0603605i
\(759\) −1.56729e20 5.76026e19i −0.0392046 0.0144088i
\(760\) 1.13734e21 + 1.55677e20i 0.281702 + 0.0385587i
\(761\) 5.73318e21i 1.40608i −0.711150 0.703041i \(-0.751825\pi\)
0.711150 0.703041i \(-0.248175\pi\)
\(762\) −1.62710e21 + 2.06189e20i −0.395141 + 0.0500730i
\(763\) 2.02429e21i 0.486788i
\(764\) −4.93476e20 + 6.99649e20i −0.117508 + 0.166602