Properties

Label 12.16.b.a.11.10
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 11.10
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-83.3106 + 160.709i) q^{2} +(3555.47 + 1306.74i) q^{3} +(-18886.7 - 26777.5i) q^{4} -93360.9i q^{5} +(-506212. + 462530. i) q^{6} +1.14542e6i q^{7} +(5.87684e6 - 804409. i) q^{8} +(1.09338e7 + 9.29212e6i) q^{9} +O(q^{10})\) \(q+(-83.3106 + 160.709i) q^{2} +(3555.47 + 1306.74i) q^{3} +(-18886.7 - 26777.5i) q^{4} -93360.9i q^{5} +(-506212. + 462530. 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} +(-3.21598e7 - 1.19886e8i) 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} +(-2.40423e9 + 9.83024e8i) 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} +(2.19461e10 + 4.81944e9i) 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} +(4.31822e10 + 4.72604e10i) 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} +(4.23169e10 - 4.68277e11i) 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} +(-5.29790e11 - 5.79824e11i) 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} +(-2.60287e12 + 3.12542e12i) 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} +(-9.83270e12 + 3.53416e11i) 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} +(-1.11927e13 + 3.00247e12i) 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} +(9.15440e11 - 8.36445e11i) 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} +(7.17308e13 + 4.58131e13i) 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} +(-1.60760e14 + 1.46888e14i) 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} +(1.37320e14 - 3.68364e13i) 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} +(9.17760e13 + 2.24461e14i) 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} +(-2.85436e14 - 6.78684e14i) 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 \(-0.0861032\pi\)
\(6\) −506212. + 462530.i −0.738241 + 0.674537i
\(7\) 1.14542e6i 0.525688i 0.964838 + 0.262844i \(0.0846605\pi\)
−0.964838 + 0.262844i \(0.915339\pi\)
\(8\) 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 \(-0.504453\pi\)
−0.0139901 + 0.999902i \(0.504453\pi\)
\(12\) −3.21598e7 1.19886e8i −0.259092 0.965853i
\(13\) 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 \(0.709096\pi\)
\(18\) −2.40423e9 + 9.83024e8i −0.925618 + 0.378460i
\(19\) 2.07292e9i 0.532024i 0.963970 + 0.266012i \(0.0857060\pi\)
−0.963970 + 0.266012i \(0.914294\pi\)
\(20\) −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 \(-0.768216\pi\)
−0.746393 + 0.665505i \(0.768216\pi\)
\(24\) 2.19461e10 + 4.81944e9i 0.976726 + 0.214493i
\(25\) 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 \(-0.00819025\pi\)
\(30\) 4.31822e10 + 4.72604e10i 0.360492 + 0.394537i
\(31\) 5.30495e10i 0.346313i 0.984894 + 0.173156i \(0.0553966\pi\)
−0.984894 + 0.173156i \(0.944603\pi\)
\(32\) −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
\(36\) 4.23169e10 4.68277e11i 0.0900005 0.995942i
\(37\) 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 \(-0.184915\pi\)
\(42\) −5.29790e11 5.79824e11i −0.354596 0.388085i
\(43\) 2.85013e12i 1.59901i 0.600661 + 0.799504i \(0.294904\pi\)
−0.600661 + 0.799504i \(0.705096\pi\)
\(44\) 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 \(-0.466602\pi\)
0.104730 + 0.994501i \(0.466602\pi\)
\(48\) −2.60287e12 + 3.12542e12i −0.639945 + 0.768421i
\(49\) 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 \(0.864582\pi\)
\(54\) −9.83270e12 + 3.53416e11i −0.999355 + 0.0359197i
\(55\) 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 \(-0.358918\pi\)
0.428853 + 0.903374i \(0.358918\pi\)
\(60\) −1.11927e13 + 3.00247e12i −0.516179 + 0.138466i
\(61\) 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
\(66\) 9.15440e11 8.36445e11i 0.0206562 0.0188737i
\(67\) 7.17216e13i 1.44574i −0.690986 0.722868i \(-0.742823\pi\)
0.690986 0.722868i \(-0.257177\pi\)
\(68\) 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 \(-0.601963\pi\)
−0.314877 + 0.949132i \(0.601963\pi\)
\(72\) 7.17308e13 + 4.58131e13i 0.842776 + 0.538265i
\(73\) −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
\(78\) −1.60760e14 + 1.46888e14i −1.03626 + 0.946838i
\(79\) 3.27912e14i 1.92112i −0.278079 0.960558i \(-0.589698\pi\)
0.278079 0.960558i \(-0.410302\pi\)
\(80\) 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 \(-0.697940\pi\)
−0.582537 + 0.812804i \(0.697940\pi\)
\(84\) 1.37320e14 3.68364e13i 0.507737 0.136202i
\(85\) 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 \(0.920906\pi\)
\(90\) 9.17760e13 + 2.24461e14i 0.202260 + 0.494677i
\(91\) 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
\(96\) −2.85436e14 6.78684e14i −0.387681 0.921794i
\(97\) −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 \(-0.412847\pi\)
\(102\) −1.23938e15 1.35642e15i −1.06832 1.16922i
\(103\) 1.33536e15i 1.06984i 0.844902 + 0.534922i \(0.179659\pi\)
−0.844902 + 0.534922i \(0.820341\pi\)
\(104\) 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 \(-0.359457\pi\)
0.427324 + 0.904099i \(0.359457\pi\)
\(108\) 7.62371e14 1.60965e15i 0.428044 0.903758i
\(109\) 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 \(-0.00939917\pi\)
\(114\) −9.58789e14 1.04934e15i −0.358869 0.392762i
\(115\) 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
\(120\) 4.49947e14 2.04891e15i 0.114631 0.521990i
\(121\) −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
\(126\) −1.12597e15 2.75384e15i −0.198952 0.486586i
\(127\) 2.39188e15i 0.398301i 0.979969 + 0.199151i \(0.0638183\pi\)
−0.979969 + 0.199151i \(0.936182\pi\)
\(128\) −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 \(-0.804392\pi\)
−0.817049 + 0.576568i \(0.804392\pi\)
\(132\) 5.81582e13 + 2.16804e14i 0.00724948 + 0.0270248i
\(133\) −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 \(-0.108990\pi\)
\(138\) 1.23393e16 1.12745e16i 1.10204 1.00694i
\(139\) 1.47105e16i 1.24456i −0.782794 0.622281i \(-0.786206\pi\)
0.782794 0.622281i \(-0.213794\pi\)
\(140\) −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
\(144\) −1.33385e16 + 7.71106e15i −0.865742 + 0.500490i
\(145\) −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 \(-0.141437\pi\)
\(150\) −1.10361e16 + 1.00838e16i −0.527389 + 0.481879i
\(151\) 3.58511e16i 1.62996i −0.579492 0.814978i \(-0.696749\pi\)
0.579492 0.814978i \(-0.303251\pi\)
\(152\) 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
\(156\) −1.02131e16 3.80729e16i −0.363684 1.35575i
\(157\) 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
\(162\) −3.54217e16 1.15922e16i −0.950400 0.311031i
\(163\) 5.64997e16i 1.44757i 0.690026 + 0.723785i \(0.257599\pi\)
−0.690026 + 0.723785i \(0.742401\pi\)
\(164\) −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 \(-0.517595\pi\)
−0.0552487 + 0.998473i \(0.517595\pi\)
\(168\) −5.52027e15 + 2.51374e16i −0.112756 + 0.513453i
\(169\) 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 \(0.946301\pi\)
\(174\) 2.21082e15 + 2.41962e15i 0.0347084 + 0.0379863i
\(175\) 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 \(-0.509560\pi\)
−0.0300296 + 0.999549i \(0.509560\pi\)
\(180\) −4.37187e16 3.95074e15i −0.532260 0.0480989i
\(181\) 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
\(186\) −2.45370e16 2.68543e16i −0.233601 0.255662i
\(187\) 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 \(-0.532504\pi\)
−0.101936 + 0.994791i \(0.532504\pi\)
\(192\) 1.32850e17 + 1.06695e16i 0.996791 + 0.0800542i
\(193\) −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 \(0.956430\pi\)
\(198\) 4.34783e15 1.77771e15i 0.0258990 0.0105894i
\(199\) 2.17749e16i 0.124899i −0.998048 0.0624494i \(-0.980109\pi\)
0.998048 0.0624494i \(-0.0198912\pi\)
\(200\) 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
\(204\) 3.21243e17 8.61741e16i 1.52970 0.410346i
\(205\) −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
\(210\) −5.41329e16 + 4.94616e16i −0.207404 + 0.189506i
\(211\) 2.03587e16i 0.0752717i −0.999292 0.0376358i \(-0.988017\pi\)
0.999292 0.0376358i \(-0.0119827\pi\)
\(212\) 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
\(216\) 1.95171e17 + 2.56620e17i 0.605357 + 0.795954i
\(217\) −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
\(222\) −2.05731e17 + 1.87978e17i −0.519580 + 0.474745i
\(223\) 5.07606e16i 0.123948i −0.998078 0.0619741i \(-0.980260\pi\)
0.998078 0.0619741i \(-0.0197396\pi\)
\(224\) 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 \(-0.601233\pi\)
−0.312698 + 0.949853i \(0.601233\pi\)
\(228\) 2.48515e17 6.66648e16i 0.513856 0.137843i
\(229\) −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 \(0.946614\pi\)
\(234\) −7.63520e17 + 3.12183e17i −1.29928 + 0.531240i
\(235\) 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 \(-0.254076\pi\)
0.697994 + 0.716103i \(0.254076\pi\)
\(240\) 2.91792e17 + 2.43006e17i 0.410666 + 0.342005i
\(241\) 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
\(246\) 6.33085e17 + 6.92875e17i 0.740370 + 0.810292i
\(247\) 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 \(-0.480633\pi\)
0.0608045 + 0.998150i \(0.480633\pi\)
\(252\) 5.36372e17 + 4.84705e16i 0.523555 + 0.0473122i
\(253\) 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 \(-0.0678707\pi\)
\(258\) −1.31827e18 1.44277e18i −1.07859 1.18045i
\(259\) 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 \(-0.580320\pi\)
−0.249665 + 0.968332i \(0.580320\pi\)
\(264\) −3.96875e16 8.71553e15i −0.0273291 0.00600157i
\(265\) 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 \(0.904344\pi\)
\(270\) 3.29952e16 + 9.17990e17i 0.0191965 + 0.534084i
\(271\) 1.84926e18i 1.04647i −0.852187 0.523237i \(-0.824724\pi\)
0.852187 0.523237i \(-0.175276\pi\)
\(272\) −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
\(276\) 7.83918e17 + 2.92231e18i 0.386770 + 1.44181i
\(277\) 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 \(0.839894\pi\)
\(282\) −3.68271e17 + 3.36492e17i −0.154632 + 0.141288i
\(283\) 9.55778e17i 0.390804i −0.980723 0.195402i \(-0.937399\pi\)
0.980723 0.195402i \(-0.0626011\pi\)
\(284\) 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
\(288\) −1.27996e17 2.78603e18i −0.0458938 0.998946i
\(289\) −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 \(-0.211770\pi\)
\(294\) −1.73913e18 + 1.58906e18i −0.534230 + 0.488130i
\(295\) 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
\(300\) −7.01127e17 2.61368e18i −0.185092 0.689991i
\(301\) −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
\(306\) −2.63407e18 6.44226e18i −0.599399 1.46598i
\(307\) 2.91302e18i 0.646853i 0.946253 + 0.323426i \(0.104835\pi\)
−0.946253 + 0.323426i \(0.895165\pi\)
\(308\) −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 \(-0.142225\pi\)
0.901829 + 0.432094i \(0.142225\pi\)
\(312\) 6.96951e18 + 1.53053e18i 1.37102 + 0.301080i
\(313\) −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 \(-0.161877\pi\)
\(318\) −3.26501e18 3.57337e18i −0.556777 0.609360i
\(319\) 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
\(324\) 4.81397e18 4.72682e18i 0.713536 0.700619i
\(325\) 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
\(330\) −7.80912e16 8.54663e16i −0.0100867 0.0110393i
\(331\) 5.40300e18i 0.682221i 0.940023 + 0.341110i \(0.110803\pi\)
−0.940023 + 0.341110i \(0.889197\pi\)
\(332\) 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
\(336\) −3.57991e18 2.98137e18i −0.403950 0.336412i
\(337\) 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
\(342\) −2.03773e18 4.98377e18i −0.201350 0.492450i
\(343\) 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 \(-0.632977\pi\)
−0.405715 + 0.914000i \(0.632977\pi\)
\(348\) −5.73039e17 + 1.53719e17i −0.0496981 + 0.0133316i
\(349\) −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 \(-0.154156\pi\)
\(354\) −8.29969e18 + 7.58349e18i −0.633195 + 0.578555i
\(355\) 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 \(-0.243630\pi\)
0.721115 + 0.692816i \(0.243630\pi\)
\(360\) 4.27715e18 6.69685e18i 0.287664 0.450404i
\(361\) 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
\(366\) −1.55005e19 + 1.41630e19i −0.920955 + 0.841484i
\(367\) 1.93513e19i 1.12646i −0.826301 0.563229i \(-0.809559\pi\)
0.826301 0.563229i \(-0.190441\pi\)
\(368\) 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
\(372\) 6.35992e18 1.70606e18i 0.334487 0.0897270i
\(373\) 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
\(378\) −4.04809e17 1.12625e19i −0.0188826 0.525349i
\(379\) 2.86795e18i 0.131153i −0.997848 0.0655764i \(-0.979111\pi\)
0.997848 0.0655764i \(-0.0208886\pi\)
\(380\) −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 \(-0.209986\pi\)
0.790181 + 0.612873i \(0.209986\pi\)
\(384\) −1.27825e19 + 2.04614e19i −0.529825 + 0.848107i
\(385\) −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 \(0.926283\pi\)
\(390\) 1.37136e19 + 1.50087e19i 0.506018 + 0.553807i
\(391\) 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
\(396\) −7.65263e16 + 8.46837e17i −0.00251824 + 0.0278667i
\(397\) −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 \(0.846631\pi\)
\(402\) 3.31734e19 + 3.63064e19i 0.975202 + 1.06730i
\(403\) 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
\(408\) −1.29140e19 + 5.88058e19i −0.339710 + 1.54692i
\(409\) 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
\(414\) 5.86046e19 2.39619e19i 1.38175 0.564960i
\(415\) 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 \(-0.723168\pi\)
−0.645062 + 0.764130i \(0.723168\pi\)
\(420\) −3.43908e18 1.28203e19i −0.0727902 0.271350i
\(421\) 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
\(426\) 2.44310e19 2.23228e19i 0.464911 0.424793i
\(427\) 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 \(-0.273982\pi\)
0.651878 + 0.758324i \(0.273982\pi\)
\(432\) −5.75010e19 + 9.98649e18i −0.985251 + 0.171114i
\(433\) −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
\(438\) 4.84211e19 4.42428e19i 0.748134 0.683576i
\(439\) 8.51076e19i 1.29266i 0.763058 + 0.646330i \(0.223697\pi\)
−0.763058 + 0.646330i \(0.776303\pi\)
\(440\) 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 \(-0.253658\pi\)
0.698933 + 0.715187i \(0.253658\pi\)
\(444\) −1.30702e19 4.87234e19i −0.182351 0.679775i
\(445\) 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 \(-0.0243445\pi\)
\(450\) −5.24153e19 + 2.14312e19i −0.661248 + 0.270367i
\(451\) 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
\(456\) −9.99032e18 + 4.54925e19i −0.114115 + 0.519641i
\(457\) −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 \(-0.00238065\pi\)
\(462\) 9.58078e17 + 1.04856e18i 0.00992170 + 0.0108587i
\(463\) 1.48475e19i 0.151285i 0.997135 + 0.0756427i \(0.0241008\pi\)
−0.997135 + 0.0756427i \(0.975899\pi\)
\(464\) 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 \(-0.590675\pi\)
−0.281027 + 0.959700i \(0.590675\pi\)
\(468\) 1.34388e19 1.48713e20i 0.126332 1.39799i
\(469\) 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
\(474\) 1.51669e20 + 1.65993e20i 1.29586 + 1.41825i
\(475\) 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 \(-0.508105\pi\)
−0.0254594 + 0.999676i \(0.508105\pi\)
\(480\) −6.33626e19 + 2.66486e19i −0.492633 + 0.207188i
\(481\) 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
\(486\) −1.10793e20 8.75025e19i −0.784763 0.619795i
\(487\) 9.60597e19i 0.669999i −0.942218 0.334999i \(-0.891264\pi\)
0.942218 0.334999i \(-0.108736\pi\)
\(488\) 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 \(-0.701174\pi\)
−0.590766 + 0.806843i \(0.701174\pi\)
\(492\) −1.64094e20 + 4.40186e19i −1.06012 + 0.284379i
\(493\) 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
\(498\) 1.45805e20 1.33223e20i 0.860106 0.785885i
\(499\) 3.33716e20i 1.93920i −0.244698 0.969599i \(-0.578689\pi\)
0.244698 0.969599i \(-0.421311\pi\)
\(500\) −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 \(-0.624893\pi\)
−0.382374 + 0.924008i \(0.624893\pi\)
\(504\) −5.24751e19 + 8.21617e19i −0.282960 + 0.443037i
\(505\) −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 \(0.961857\pi\)
\(510\) −1.26637e20 + 1.15709e20i −0.624862 + 0.570941i
\(511\) 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
\(516\) 3.41692e20 9.16596e19i 1.54441 0.414291i
\(517\) −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 \(-0.265800\pi\)
\(522\) 4.69870e18 + 1.14918e19i 0.0194737 + 0.0476278i
\(523\) 1.26595e20i 0.517194i 0.965985 + 0.258597i \(0.0832602\pi\)
−0.965985 + 0.258597i \(0.916740\pi\)
\(524\) 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
\(528\) 4.70706e18 5.65204e18i 0.0179059 0.0215006i
\(529\) 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
\(534\) −9.49319e19 1.03897e20i −0.331782 0.363116i
\(535\) 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
\(540\) −1.50278e20 7.11756e19i −0.482994 0.228759i
\(541\) −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
\(546\) −1.68248e20 1.84137e20i −0.497742 0.544750i
\(547\) 1.99918e20i 0.583374i 0.956514 + 0.291687i \(0.0942166\pi\)
−0.956514 + 0.291687i \(0.905783\pi\)
\(548\) −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
\(552\) −5.34950e20 1.17477e20i −1.45804 0.320192i
\(553\) 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 \(0.772808\pi\)
\(558\) −5.21489e19 1.27543e20i −0.131066 0.320553i
\(559\) 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 \(-0.295590\pi\)
0.598937 + 0.800796i \(0.295590\pi\)
\(564\) −2.33964e19 8.72178e19i −0.0542695 0.202307i
\(565\) −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 \(0.717863\pi\)
\(570\) −9.79672e19 + 8.95133e19i −0.209903 + 0.191790i
\(571\) 1.62706e20i 0.344060i −0.985092 0.172030i \(-0.944967\pi\)
0.985092 0.172030i \(-0.0550326\pi\)
\(572\) 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
\(576\) 4.58403e20 + 2.11536e20i 0.907986 + 0.419001i
\(577\) 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
\(582\) 2.74326e20 2.50654e20i 0.502742 0.459359i
\(583\) 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 \(-0.302231\pi\)
0.582101 + 0.813116i \(0.302231\pi\)
\(588\) −1.10488e20 4.11880e20i −0.187493 0.698941i
\(589\) −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 \(-0.291273\pi\)
\(594\) 1.77816e19 6.39122e17i 0.0279622 0.00100504i
\(595\) 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 \(-0.645622\pi\)
−0.441693 + 0.897166i \(0.645622\pi\)
\(600\) 4.78454e20 + 1.05070e20i 0.697759 + 0.153230i
\(601\) −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
\(606\) 9.59608e20 + 1.05024e21i 1.29882 + 1.42148i
\(607\) 9.75911e20i 1.30465i −0.757938 0.652326i \(-0.773793\pi\)
0.757938 0.652326i \(-0.226207\pi\)
\(608\) 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
\(612\) 1.25477e21 + 1.13391e20i 1.57736 + 0.142541i
\(613\) −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 \(0.854697\pi\)
\(618\) −6.17646e20 6.75978e20i −0.721649 0.789803i
\(619\) 4.21764e20i 0.486844i −0.969921 0.243422i \(-0.921730\pi\)
0.969921 0.243422i \(-0.0782699\pi\)
\(620\) −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
\(624\) −8.26604e20 + 9.92553e20i −0.898283 + 1.07862i
\(625\) 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
\(630\) −2.57101e20 + 1.05122e20i −0.260046 + 0.106326i
\(631\) 4.96826e20i 0.496574i 0.968687 + 0.248287i \(0.0798676\pi\)
−0.968687 + 0.248287i \(0.920132\pi\)
\(632\) −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
\(636\) 8.46282e20 2.27017e20i 0.797236 0.213860i
\(637\) 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 \(0.858308\pi\)
\(642\) −7.18618e20 + 6.56607e20i −0.630936 + 0.576491i
\(643\) 1.39592e21i 1.21138i −0.795702 0.605688i \(-0.792898\pi\)
0.795702 0.605688i \(-0.207102\pi\)
\(644\) −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 \(-0.478468\pi\)
0.0675922 + 0.997713i \(0.478468\pi\)
\(648\) 3.58588e20 + 1.16744e21i 0.293618 + 0.955923i
\(649\) −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 \(0.989946\pi\)
\(654\) −8.94628e20 + 8.17429e20i −0.683612 + 0.624621i
\(655\) 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 \(-0.475623\pi\)
0.0765079 + 0.997069i \(0.475623\pi\)
\(660\) 2.02410e19 5.42970e18i 0.0144428 0.00387433i
\(661\) 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
\(666\) −9.77108e20 + 3.99513e20i −0.651457 + 0.266363i
\(667\) 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
\(672\) 7.77377e20 3.26943e20i 0.484576 0.203799i
\(673\) −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 \(-0.182870\pi\)
\(678\) 6.83022e19 + 7.47528e19i 0.0398301 + 0.0435918i
\(679\) 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 \(-0.173150\pi\)
0.855663 + 0.517534i \(0.173150\pi\)
\(684\) 9.70701e20 + 8.77196e19i 0.529864 + 0.0478824i
\(685\) −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
\(690\) −1.05260e21 1.15200e21i −0.538137 0.588960i
\(691\) 8.03769e20i 0.406486i 0.979128 + 0.203243i \(0.0651482\pi\)
−0.979128 + 0.203243i \(0.934852\pi\)
\(692\) 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
\(696\) 2.30362e19 1.04899e20i 0.0110368 0.0502576i
\(697\) 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 \(-0.209479\pi\)
\(702\) −3.12261e21 + 1.12236e20i −1.40278 + 0.0504200i
\(703\) 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
\(708\) −5.27282e20 1.96562e21i −0.222225 0.828418i
\(709\) −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
\(714\) 1.55367e21 1.41960e21i 0.614643 0.561604i
\(715\) 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 \(-0.601648\pi\)
−0.313937 + 0.949444i \(0.601648\pi\)
\(720\) 7.19911e20 + 1.24530e21i 0.267476 + 0.462678i
\(721\) −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
\(726\) 2.11292e21 1.93059e21i 0.737663 0.674009i
\(727\) 1.30312e21i 0.450273i 0.974327 + 0.225136i \(0.0722828\pi\)
−0.974327 + 0.225136i \(0.927717\pi\)
\(728\) 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
\(732\) −9.84754e20 3.67100e21i −0.323217 1.20490i
\(733\) −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
\(738\) 1.34551e21 + 3.29077e21i 0.415397 + 1.01596i
\(739\) 9.31882e20i 0.284792i −0.989810 0.142396i \(-0.954519\pi\)
0.989810 0.142396i \(-0.0454806\pi\)
\(740\) −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 \(-0.527835\pi\)
−0.0873345 + 0.996179i \(0.527835\pi\)
\(744\) −2.55669e20 + 1.16423e21i −0.0742815 + 0.338253i
\(745\) −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
\(750\) 2.25925e21 + 2.47261e21i 0.618022 + 0.676389i
\(751\) 4.22819e21i 1.14513i −0.819859 0.572566i \(-0.805948\pi\)
0.819859 0.572566i \(-0.194052\pi\)
\(752\) −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
\(756\) 1.84372e21 + 8.73233e20i 0.475095 + 0.225018i
\(757\) −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 \(-0.248175\pi\)
\(762\) −1.10632e21 1.21080e21i −0.268669 0.294043i
\(763\) 2.02429e21i 0.486788i
\(764\) 4.93476e20 + 6.99649e20i 0.117508