Properties

Label 12.20.b.a.11.31
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.31
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.32

$q$-expansion

\(f(q)\) \(=\) \(q+(641.248 - 336.287i) q^{2} +(-33097.3 + 8174.89i) q^{3} +(298110. - 431287. i) q^{4} +2.18420e6i q^{5} +(-1.84745e7 + 1.63723e7i) q^{6} +4.59862e7i q^{7} +(4.61264e7 - 3.76812e8i) q^{8} +(1.02860e9 - 5.41134e8i) q^{9} +O(q^{10})\) \(q+(641.248 - 336.287i) q^{2} +(-33097.3 + 8174.89i) q^{3} +(298110. - 431287. i) q^{4} +2.18420e6i q^{5} +(-1.84745e7 + 1.63723e7i) q^{6} +4.59862e7i q^{7} +(4.61264e7 - 3.76812e8i) q^{8} +(1.02860e9 - 5.41134e8i) q^{9} +(7.34518e8 + 1.40061e9i) q^{10} +1.63317e8 q^{11} +(-6.34092e9 + 1.67115e10i) q^{12} +2.15485e9 q^{13} +(1.54645e10 + 2.94885e10i) q^{14} +(-1.78556e10 - 7.22912e10i) q^{15} +(-9.71387e10 - 2.57142e11i) q^{16} -3.11478e11i q^{17} +(4.77614e11 - 6.92907e11i) q^{18} -2.29703e12i q^{19} +(9.42017e11 + 6.51132e11i) q^{20} +(-3.75932e11 - 1.52202e12i) q^{21} +(1.04727e11 - 5.49213e10i) q^{22} -1.23364e13 q^{23} +(1.55374e12 + 1.28486e13i) q^{24} +1.43028e13 q^{25} +(1.38179e12 - 7.24648e11i) q^{26} +(-2.96203e13 + 2.63188e13i) q^{27} +(1.98332e13 + 1.37089e13i) q^{28} -1.30839e14i q^{29} +(-3.57605e13 - 4.03520e13i) q^{30} -8.17993e13i q^{31} +(-1.48763e14 - 1.32225e14i) q^{32} +(-5.40535e12 + 1.33510e12i) q^{33} +(-1.04746e14 - 1.99734e14i) q^{34} -1.00443e14 q^{35} +(7.32531e13 - 6.04941e14i) q^{36} +2.92779e14 q^{37} +(-7.72461e14 - 1.47297e15i) q^{38} +(-7.13198e13 + 1.76157e13i) q^{39} +(8.23034e14 + 1.00749e14i) q^{40} -2.15250e15i q^{41} +(-7.52901e14 - 8.49570e14i) q^{42} +6.38710e14i q^{43} +(4.86864e13 - 7.04363e13i) q^{44} +(1.18195e15 + 2.24668e15i) q^{45} +(-7.91070e15 + 4.14858e15i) q^{46} -5.11318e15 q^{47} +(5.31714e15 + 7.71661e15i) q^{48} +9.28417e15 q^{49} +(9.17161e15 - 4.80983e15i) q^{50} +(2.54630e15 + 1.03091e16i) q^{51} +(6.42383e14 - 9.29359e14i) q^{52} +5.34552e15i q^{53} +(-1.01433e16 + 2.68378e16i) q^{54} +3.56716e14i q^{55} +(1.73282e16 + 2.12117e15i) q^{56} +(1.87780e16 + 7.60255e16i) q^{57} +(-4.39993e16 - 8.39000e16i) q^{58} +5.99385e16 q^{59} +(-3.65012e16 - 1.38498e16i) q^{60} +8.58272e16 q^{61} +(-2.75080e16 - 5.24536e16i) q^{62} +(2.48847e16 + 4.73015e16i) q^{63} +(-1.39860e17 - 3.47620e16i) q^{64} +4.70663e15i q^{65} +(-3.01719e15 + 2.67388e15i) q^{66} +3.62115e17i q^{67} +(-1.34336e17 - 9.28546e16i) q^{68} +(4.08302e17 - 1.00849e17i) q^{69} +(-6.44089e16 + 3.37777e16i) q^{70} -4.95732e17 q^{71} +(-1.56460e17 - 4.12551e17i) q^{72} +7.06604e17 q^{73} +(1.87744e17 - 9.84577e16i) q^{74} +(-4.73383e17 + 1.16924e17i) q^{75} +(-9.90678e17 - 6.84768e17i) q^{76} +7.51031e15i q^{77} +(-3.98098e16 + 3.52799e16i) q^{78} -1.01984e18i q^{79} +(5.61649e17 - 2.12170e17i) q^{80} +(7.65199e17 - 1.11323e18i) q^{81} +(-7.23857e17 - 1.38029e18i) q^{82} +4.60593e17 q^{83} +(-7.68496e17 - 2.91595e17i) q^{84} +6.80330e17 q^{85} +(2.14790e17 + 4.09572e17i) q^{86} +(1.06959e18 + 4.33041e18i) q^{87} +(7.53321e15 - 6.15398e16i) q^{88} +5.30538e18i q^{89} +(1.51345e18 + 1.04320e18i) q^{90} +9.90933e16i q^{91} +(-3.67761e18 + 5.32053e18i) q^{92} +(6.68701e17 + 2.70734e18i) q^{93} +(-3.27882e18 + 1.71950e18i) q^{94} +5.01717e18 q^{95} +(6.00460e18 + 3.16018e18i) q^{96} -1.13803e19 q^{97} +(5.95345e18 - 3.12215e18i) q^{98} +(1.67988e17 - 8.83763e16i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} + O(q^{10}) \) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} - 4162950000q^{10} - 2268767880q^{12} - 25913431656q^{13} + 791689296672q^{16} + 2852271258192q^{18} - 1650825908424q^{21} + 7247870602416q^{22} + 23719435803936q^{24} - 118879690462380q^{25} - 7629081673968q^{28} + 37456727138640q^{30} + 529254701828640q^{33} - 248241675948480q^{34} - 1177548745309416q^{36} + 1847838600168120q^{37} - 40433256181440q^{40} - 2709671988768336q^{42} - 4365410114088000q^{45} + 17206125364795104q^{46} + 1561106052682272q^{48} - 49399737041580084q^{49} + 16558671470242896q^{52} + 40087412948587896q^{54} + 44803667812766472q^{57} - 34645536255764880q^{58} + 50260381053157440q^{60} + 174742350239997144q^{61} - 139766490424918656q^{64} - 87772097712685968q^{66} - 957190369821780672q^{69} + 244663962371376480q^{70} + 54134736422921280q^{72} - 1445122541399481432q^{73} + 2744130151937256048q^{76} + 1125465917961999024q^{78} + 1033298241353042436q^{81} + 1064985418859680800q^{82} + 1920709484261873424q^{84} - 1802899595088057600q^{85} - 9209792381828477760q^{88} - 5194944179528261040q^{90} + 6719944190337314136q^{93} - 3835186345170303552q^{94} - 11947184361208227456q^{96} + 12765226159947004488q^{97} + O(q^{100}) \)

Character Values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 641.248 336.287i 0.885607 0.464435i
\(3\) −33097.3 + 8174.89i −0.970825 + 0.239790i
\(4\) 298110. 431287.i 0.568600 0.822614i
\(5\) 2.18420e6i 0.500124i 0.968230 + 0.250062i \(0.0804510\pi\)
−0.968230 + 0.250062i \(0.919549\pi\)
\(6\) −1.84745e7 + 1.63723e7i −0.748403 + 0.663245i
\(7\) 4.59862e7i 0.430721i 0.976535 + 0.215360i \(0.0690926\pi\)
−0.976535 + 0.215360i \(0.930907\pi\)
\(8\) 4.61264e7 3.76812e8i 0.121505 0.992591i
\(9\) 1.02860e9 5.41134e8i 0.885002 0.465587i
\(10\) 7.34518e8 + 1.40061e9i 0.232275 + 0.442913i
\(11\) 1.63317e8 0.0208833 0.0104417 0.999945i \(-0.496676\pi\)
0.0104417 + 0.999945i \(0.496676\pi\)
\(12\) −6.34092e9 + 1.67115e10i −0.354757 + 0.934959i
\(13\) 2.15485e9 0.0563580 0.0281790 0.999603i \(-0.491029\pi\)
0.0281790 + 0.999603i \(0.491029\pi\)
\(14\) 1.54645e10 + 2.94885e10i 0.200042 + 0.381449i
\(15\) −1.78556e10 7.22912e10i −0.119924 0.485533i
\(16\) −9.71387e10 2.57142e11i −0.353388 0.935477i
\(17\) 3.11478e11i 0.637033i −0.947917 0.318517i \(-0.896815\pi\)
0.947917 0.318517i \(-0.103185\pi\)
\(18\) 4.77614e11 6.92907e11i 0.567529 0.823354i
\(19\) 2.29703e12i 1.63308i −0.577289 0.816540i \(-0.695889\pi\)
0.577289 0.816540i \(-0.304111\pi\)
\(20\) 9.42017e11 + 6.51132e11i 0.411409 + 0.284370i
\(21\) −3.75932e11 1.52202e12i −0.103282 0.418154i
\(22\) 1.04727e11 5.49213e10i 0.0184944 0.00969896i
\(23\) −1.23364e13 −1.42815 −0.714076 0.700068i \(-0.753153\pi\)
−0.714076 + 0.700068i \(0.753153\pi\)
\(24\) 1.55374e12 + 1.28486e13i 0.120053 + 0.992768i
\(25\) 1.43028e13 0.749876
\(26\) 1.38179e12 7.24648e11i 0.0499110 0.0261746i
\(27\) −2.96203e13 + 2.63188e13i −0.747539 + 0.664218i
\(28\) 1.98332e13 + 1.37089e13i 0.354317 + 0.244908i
\(29\) 1.30839e14i 1.67477i −0.546614 0.837384i \(-0.684084\pi\)
0.546614 0.837384i \(-0.315916\pi\)
\(30\) −3.57605e13 4.03520e13i −0.331704 0.374294i
\(31\) 8.17993e13i 0.555666i −0.960629 0.277833i \(-0.910384\pi\)
0.960629 0.277833i \(-0.0896161\pi\)
\(32\) −1.48763e14 1.32225e14i −0.747432 0.664339i
\(33\) −5.40535e12 + 1.33510e12i −0.0202741 + 0.00500761i
\(34\) −1.04746e14 1.99734e14i −0.295861 0.564161i
\(35\) −1.00443e14 −0.215414
\(36\) 7.32531e13 6.04941e14i 0.120213 0.992748i
\(37\) 2.92779e14 0.370359 0.185180 0.982705i \(-0.440713\pi\)
0.185180 + 0.982705i \(0.440713\pi\)
\(38\) −7.72461e14 1.47297e15i −0.758460 1.44627i
\(39\) −7.13198e13 + 1.76157e13i −0.0547137 + 0.0135141i
\(40\) 8.23034e14 + 1.00749e14i 0.496418 + 0.0607676i
\(41\) 2.15250e15i 1.02682i −0.858142 0.513412i \(-0.828381\pi\)
0.858142 0.513412i \(-0.171619\pi\)
\(42\) −7.52901e14 8.49570e14i −0.285673 0.322353i
\(43\) 6.38710e14i 0.193800i 0.995294 + 0.0968999i \(0.0308927\pi\)
−0.995294 + 0.0968999i \(0.969107\pi\)
\(44\) 4.86864e13 7.04363e13i 0.0118743 0.0171789i
\(45\) 1.18195e15 + 2.24668e15i 0.232851 + 0.442611i
\(46\) −7.91070e15 + 4.14858e15i −1.26478 + 0.663284i
\(47\) −5.11318e15 −0.666440 −0.333220 0.942849i \(-0.608135\pi\)
−0.333220 + 0.942849i \(0.608135\pi\)
\(48\) 5.31714e15 + 7.71661e15i 0.567396 + 0.823445i
\(49\) 9.28417e15 0.814480
\(50\) 9.17161e15 4.80983e15i 0.664096 0.348269i
\(51\) 2.54630e15 + 1.03091e16i 0.152754 + 0.618448i
\(52\) 6.42383e14 9.29359e14i 0.0320451 0.0463609i
\(53\) 5.34552e15i 0.222520i 0.993791 + 0.111260i \(0.0354886\pi\)
−0.993791 + 0.111260i \(0.964511\pi\)
\(54\) −1.01433e16 + 2.68378e16i −0.353540 + 0.935420i
\(55\) 3.56716e14i 0.0104443i
\(56\) 1.73282e16 + 2.12117e15i 0.427529 + 0.0523347i
\(57\) 1.87780e16 + 7.60255e16i 0.391595 + 1.58543i
\(58\) −4.39993e16 8.39000e16i −0.777822 1.48319i
\(59\) 5.99385e16 0.900765 0.450383 0.892836i \(-0.351288\pi\)
0.450383 + 0.892836i \(0.351288\pi\)
\(60\) −3.65012e16 1.38498e16i −0.467595 0.177422i
\(61\) 8.58272e16 0.939705 0.469853 0.882745i \(-0.344307\pi\)
0.469853 + 0.882745i \(0.344307\pi\)
\(62\) −2.75080e16 5.24536e16i −0.258071 0.492101i
\(63\) 2.48847e16 + 4.73015e16i 0.200538 + 0.381189i
\(64\) −1.39860e17 3.47620e16i −0.970473 0.241210i
\(65\) 4.70663e15i 0.0281860i
\(66\) −3.01719e15 + 2.67388e15i −0.0156292 + 0.0138508i
\(67\) 3.62115e17i 1.62606i 0.582223 + 0.813029i \(0.302183\pi\)
−0.582223 + 0.813029i \(0.697817\pi\)
\(68\) −1.34336e17 9.28546e16i −0.524033 0.362217i
\(69\) 4.08302e17 1.00849e17i 1.38649 0.342456i
\(70\) −6.44089e16 + 3.37777e16i −0.190772 + 0.100046i
\(71\) −4.95732e17 −1.28319 −0.641597 0.767042i \(-0.721728\pi\)
−0.641597 + 0.767042i \(0.721728\pi\)
\(72\) −1.56460e17 4.12551e17i −0.354605 0.935016i
\(73\) 7.06604e17 1.40478 0.702391 0.711791i \(-0.252116\pi\)
0.702391 + 0.711791i \(0.252116\pi\)
\(74\) 1.87744e17 9.84577e16i 0.327993 0.172008i
\(75\) −4.73383e17 + 1.16924e17i −0.727998 + 0.179812i
\(76\) −9.90678e17 6.84768e17i −1.34339 0.928569i
\(77\) 7.51031e15i 0.00899489i
\(78\) −3.98098e16 + 3.52799e16i −0.0421785 + 0.0373791i
\(79\) 1.01984e18i 0.957356i −0.877991 0.478678i \(-0.841116\pi\)
0.877991 0.478678i \(-0.158884\pi\)
\(80\) 5.61649e17 2.12170e17i 0.467854 0.176738i
\(81\) 7.65199e17 1.11323e18i 0.566457 0.824091i
\(82\) −7.23857e17 1.38029e18i −0.476893 0.909363i
\(83\) 4.60593e17 0.270443 0.135221 0.990815i \(-0.456825\pi\)
0.135221 + 0.990815i \(0.456825\pi\)
\(84\) −7.68496e17 2.91595e17i −0.402706 0.152801i
\(85\) 6.80330e17 0.318596
\(86\) 2.14790e17 + 4.09572e17i 0.0900075 + 0.171631i
\(87\) 1.06959e18 + 4.33041e18i 0.401592 + 1.62591i
\(88\) 7.53321e15 6.15398e16i 0.00253743 0.0207286i
\(89\) 5.30538e18i 1.60513i 0.596562 + 0.802567i \(0.296533\pi\)
−0.596562 + 0.802567i \(0.703467\pi\)
\(90\) 1.51345e18 + 1.04320e18i 0.411779 + 0.283835i
\(91\) 9.90933e16i 0.0242745i
\(92\) −3.67761e18 + 5.32053e18i −0.812047 + 1.17482i
\(93\) 6.68701e17 + 2.70734e18i 0.133243 + 0.539454i
\(94\) −3.27882e18 + 1.71950e18i −0.590204 + 0.309518i
\(95\) 5.01717e18 0.816742
\(96\) 6.00460e18 + 3.16018e18i 0.884927 + 0.465730i
\(97\) −1.13803e19 −1.51993 −0.759964 0.649966i \(-0.774783\pi\)
−0.759964 + 0.649966i \(0.774783\pi\)
\(98\) 5.95345e18 3.12215e18i 0.721309 0.378273i
\(99\) 1.67988e17 8.83763e16i 0.0184818 0.00972302i
\(100\) 4.26379e18 6.16859e18i 0.426379 0.616859i
\(101\) 1.00394e19i 0.913390i −0.889623 0.456695i \(-0.849033\pi\)
0.889623 0.456695i \(-0.150967\pi\)
\(102\) 5.09962e18 + 5.75439e18i 0.422509 + 0.476757i
\(103\) 2.29488e19i 1.73303i −0.499150 0.866515i \(-0.666354\pi\)
0.499150 0.866515i \(-0.333646\pi\)
\(104\) 9.93954e16 8.11974e17i 0.00684778 0.0559404i
\(105\) 3.32439e18 8.21111e17i 0.209129 0.0516539i
\(106\) 1.79763e18 + 3.42780e18i 0.103346 + 0.197065i
\(107\) −1.35945e19 −0.714854 −0.357427 0.933941i \(-0.616346\pi\)
−0.357427 + 0.933941i \(0.616346\pi\)
\(108\) 2.52085e18 + 2.06208e19i 0.121345 + 0.992610i
\(109\) −2.99913e19 −1.32265 −0.661324 0.750100i \(-0.730005\pi\)
−0.661324 + 0.750100i \(0.730005\pi\)
\(110\) 1.19959e17 + 2.28744e17i 0.00485068 + 0.00924951i
\(111\) −9.69019e18 + 2.39344e18i −0.359554 + 0.0888083i
\(112\) 1.18250e19 4.46703e18i 0.402929 0.152212i
\(113\) 4.50800e19i 1.41169i −0.708368 0.705843i \(-0.750568\pi\)
0.708368 0.705843i \(-0.249432\pi\)
\(114\) 3.76077e19 + 4.24364e19i 1.08313 + 1.22220i
\(115\) 2.69452e19i 0.714253i
\(116\) −5.64290e19 3.90043e19i −1.37769 0.952273i
\(117\) 2.21649e18 1.16606e18i 0.0498769 0.0262396i
\(118\) 3.84354e19 2.01565e19i 0.797724 0.418347i
\(119\) 1.43237e19 0.274383
\(120\) −2.80638e19 + 3.39369e18i −0.496507 + 0.0600413i
\(121\) −6.11324e19 −0.999564
\(122\) 5.50365e19 2.88626e19i 0.832209 0.436432i
\(123\) 1.75964e19 + 7.12419e19i 0.246222 + 0.996867i
\(124\) −3.52790e19 2.43852e19i −0.457099 0.315951i
\(125\) 7.29004e19i 0.875155i
\(126\) 3.18641e19 + 2.19636e19i 0.354635 + 0.244446i
\(127\) 4.41892e19i 0.456226i −0.973635 0.228113i \(-0.926744\pi\)
0.973635 0.228113i \(-0.0732556\pi\)
\(128\) −1.01375e20 + 2.47420e19i −0.971484 + 0.237105i
\(129\) −5.22139e18 2.11396e19i −0.0464712 0.188146i
\(130\) 1.58278e18 + 3.01812e18i 0.0130906 + 0.0249617i
\(131\) 9.06188e19 0.696853 0.348426 0.937336i \(-0.386716\pi\)
0.348426 + 0.937336i \(0.386716\pi\)
\(132\) −1.03558e18 + 2.72926e18i −0.00740851 + 0.0195251i
\(133\) 1.05632e20 0.703401
\(134\) 1.21775e20 + 2.32206e20i 0.755198 + 1.44005i
\(135\) −5.74856e19 6.46967e19i −0.332191 0.373862i
\(136\) −1.17369e20 1.43673e19i −0.632313 0.0774028i
\(137\) 1.61018e20i 0.809151i 0.914505 + 0.404575i \(0.132581\pi\)
−0.914505 + 0.404575i \(0.867419\pi\)
\(138\) 2.27909e20 2.01976e20i 1.06883 0.947214i
\(139\) 1.11823e20i 0.489655i 0.969567 + 0.244827i \(0.0787313\pi\)
−0.969567 + 0.244827i \(0.921269\pi\)
\(140\) −2.99431e19 + 4.33197e19i −0.122484 + 0.177202i
\(141\) 1.69233e20 4.17997e19i 0.646997 0.159805i
\(142\) −3.17887e20 + 1.66708e20i −1.13641 + 0.595961i
\(143\) 3.51923e17 0.00117694
\(144\) −2.39065e20 2.11932e20i −0.748296 0.663366i
\(145\) 2.85778e20 0.837592
\(146\) 4.53109e20 2.37622e20i 1.24409 0.652431i
\(147\) −3.07281e20 + 7.58971e19i −0.790717 + 0.195304i
\(148\) 8.72803e19 1.26272e20i 0.210586 0.304663i
\(149\) 3.08924e20i 0.699168i 0.936905 + 0.349584i \(0.113677\pi\)
−0.936905 + 0.349584i \(0.886323\pi\)
\(150\) −2.64236e20 + 2.34169e20i −0.561209 + 0.497351i
\(151\) 6.16509e20i 1.22930i 0.788800 + 0.614651i \(0.210703\pi\)
−0.788800 + 0.614651i \(0.789297\pi\)
\(152\) −8.65549e20 1.05954e20i −1.62098 0.198427i
\(153\) −1.68551e20 3.20387e20i −0.296595 0.563776i
\(154\) 2.52562e18 + 4.81597e18i 0.00417754 + 0.00796594i
\(155\) 1.78666e20 0.277902
\(156\) −1.36637e19 + 3.60107e19i −0.0199934 + 0.0526924i
\(157\) 1.17728e21 1.62119 0.810595 0.585608i \(-0.199144\pi\)
0.810595 + 0.585608i \(0.199144\pi\)
\(158\) −3.42958e20 6.53969e20i −0.444630 0.847841i
\(159\) −4.36990e19 1.76922e20i −0.0533580 0.216028i
\(160\) 2.88807e20 3.24929e20i 0.332252 0.373808i
\(161\) 5.67304e20i 0.615135i
\(162\) 1.16319e20 9.71180e20i 0.118921 0.992904i
\(163\) 1.66607e20i 0.160661i 0.996768 + 0.0803306i \(0.0255976\pi\)
−0.996768 + 0.0803306i \(0.974402\pi\)
\(164\) −9.28344e20 6.41681e20i −0.844680 0.583852i
\(165\) −2.91612e18 1.18064e19i −0.00250442 0.0101395i
\(166\) 2.95354e20 1.54891e20i 0.239506 0.125603i
\(167\) 5.07388e20 0.388627 0.194314 0.980939i \(-0.437752\pi\)
0.194314 + 0.980939i \(0.437752\pi\)
\(168\) −5.90856e20 + 7.14506e19i −0.427605 + 0.0517092i
\(169\) −1.45728e21 −0.996824
\(170\) 4.36260e20 2.28786e20i 0.282150 0.147967i
\(171\) −1.24300e21 2.36273e21i −0.760341 1.44528i
\(172\) 2.75467e20 + 1.90406e20i 0.159423 + 0.110195i
\(173\) 8.03156e19i 0.0439908i 0.999758 + 0.0219954i \(0.00700192\pi\)
−0.999758 + 0.0219954i \(0.992998\pi\)
\(174\) 2.14213e21 + 2.41717e21i 1.11078 + 1.25340i
\(175\) 6.57729e20i 0.322987i
\(176\) −1.58644e19 4.19956e19i −0.00737993 0.0195359i
\(177\) −1.98380e21 + 4.89991e20i −0.874485 + 0.215994i
\(178\) 1.78413e21 + 3.40206e21i 0.745481 + 1.42152i
\(179\) 2.01454e21 0.798128 0.399064 0.916923i \(-0.369335\pi\)
0.399064 + 0.916923i \(0.369335\pi\)
\(180\) 1.32131e21 + 1.59999e20i 0.496497 + 0.0601215i
\(181\) 3.55933e20 0.126888 0.0634441 0.997985i \(-0.479792\pi\)
0.0634441 + 0.997985i \(0.479792\pi\)
\(182\) 3.33238e19 + 6.35434e19i 0.0112740 + 0.0214977i
\(183\) −2.84065e21 + 7.01628e20i −0.912289 + 0.225331i
\(184\) −5.69034e20 + 4.64851e21i −0.173528 + 1.41757i
\(185\) 6.39488e20i 0.185226i
\(186\) 1.33925e21 + 1.51120e21i 0.368542 + 0.415862i
\(187\) 5.08695e19i 0.0133034i
\(188\) −1.52429e21 + 2.20525e21i −0.378938 + 0.548223i
\(189\) −1.21030e21 1.36212e21i −0.286092 0.321980i
\(190\) 3.21725e21 1.68721e21i 0.723313 0.379324i
\(191\) 6.52917e21 1.39650 0.698250 0.715854i \(-0.253963\pi\)
0.698250 + 0.715854i \(0.253963\pi\)
\(192\) 4.91316e21 + 7.18787e18i 0.999999 + 0.00146298i
\(193\) −7.77338e21 −1.50597 −0.752983 0.658040i \(-0.771386\pi\)
−0.752983 + 0.658040i \(0.771386\pi\)
\(194\) −7.29760e21 + 3.82705e21i −1.34606 + 0.705908i
\(195\) −3.84762e19 1.55777e20i −0.00675870 0.0273636i
\(196\) 2.76770e21 4.00414e21i 0.463113 0.670003i
\(197\) 9.04179e21i 1.44154i 0.693176 + 0.720768i \(0.256211\pi\)
−0.693176 + 0.720768i \(0.743789\pi\)
\(198\) 7.80023e19 1.13163e20i 0.0118519 0.0171944i
\(199\) 1.03235e22i 1.49528i −0.664107 0.747638i \(-0.731188\pi\)
0.664107 0.747638i \(-0.268812\pi\)
\(200\) 6.59734e20 5.38945e21i 0.0911137 0.744320i
\(201\) −2.96025e21 1.19850e22i −0.389912 1.57862i
\(202\) −3.37613e21 6.43777e21i −0.424210 0.808904i
\(203\) 6.01676e21 0.721358
\(204\) 5.20524e21 + 1.97506e21i 0.595600 + 0.225992i
\(205\) 4.70149e21 0.513539
\(206\) −7.71738e21 1.47159e22i −0.804881 1.53478i
\(207\) −1.26893e22 + 6.67566e21i −1.26392 + 0.664930i
\(208\) −2.09319e20 5.54102e20i −0.0199163 0.0527216i
\(209\) 3.75143e20i 0.0341042i
\(210\) 1.85563e21 1.64449e21i 0.161216 0.142872i
\(211\) 4.72896e21i 0.392720i 0.980532 + 0.196360i \(0.0629121\pi\)
−0.980532 + 0.196360i \(0.937088\pi\)
\(212\) 2.30545e21 + 1.59355e21i 0.183048 + 0.126525i
\(213\) 1.64074e22 4.05256e21i 1.24576 0.307697i
\(214\) −8.71745e21 + 4.57165e21i −0.633080 + 0.332003i
\(215\) −1.39507e21 −0.0969239
\(216\) 8.55098e21 + 1.23753e22i 0.568467 + 0.822706i
\(217\) 3.76164e21 0.239337
\(218\) −1.92319e22 + 1.00857e22i −1.17135 + 0.614284i
\(219\) −2.33867e22 + 5.77642e21i −1.36380 + 0.336852i
\(220\) 1.53847e20 + 1.06341e20i 0.00859160 + 0.00593860i
\(221\) 6.71188e20i 0.0359019i
\(222\) −5.40894e21 + 4.79347e21i −0.277178 + 0.245639i
\(223\) 8.20124e21i 0.402701i 0.979519 + 0.201351i \(0.0645331\pi\)
−0.979519 + 0.201351i \(0.935467\pi\)
\(224\) 6.08053e21 6.84106e21i 0.286144 0.321934i
\(225\) 1.47119e22 7.73971e21i 0.663642 0.349133i
\(226\) −1.51598e22 2.89074e22i −0.655637 1.25020i
\(227\) 1.82946e22 0.758713 0.379357 0.925251i \(-0.376145\pi\)
0.379357 + 0.925251i \(0.376145\pi\)
\(228\) 3.83867e22 + 1.45653e22i 1.52686 + 0.579346i
\(229\) 9.76485e21 0.372588 0.186294 0.982494i \(-0.440352\pi\)
0.186294 + 0.982494i \(0.440352\pi\)
\(230\) −9.06132e21 1.72786e22i −0.331724 0.632548i
\(231\) −6.13960e19 2.48571e20i −0.00215688 0.00873246i
\(232\) −4.93016e22 6.03511e21i −1.66236 0.203493i
\(233\) 3.04179e22i 0.984573i 0.870433 + 0.492287i \(0.163839\pi\)
−0.870433 + 0.492287i \(0.836161\pi\)
\(234\) 1.02919e21 1.49311e21i 0.0319848 0.0464025i
\(235\) 1.11682e22i 0.333303i
\(236\) 1.78683e22 2.58507e22i 0.512175 0.740982i
\(237\) 8.33706e21 + 3.37539e22i 0.229564 + 0.929425i
\(238\) 9.18502e21 4.81686e21i 0.242996 0.127433i
\(239\) 5.36873e22 1.36487 0.682435 0.730946i \(-0.260921\pi\)
0.682435 + 0.730946i \(0.260921\pi\)
\(240\) −1.68546e22 + 1.16137e22i −0.411825 + 0.283768i
\(241\) 6.69429e20 0.0157233 0.00786163 0.999969i \(-0.497498\pi\)
0.00786163 + 0.999969i \(0.497498\pi\)
\(242\) −3.92010e22 + 2.05580e22i −0.885221 + 0.464233i
\(243\) −1.62255e22 + 4.31002e22i −0.352322 + 0.935879i
\(244\) 2.55860e22 3.70161e22i 0.534316 0.773015i
\(245\) 2.02785e22i 0.407341i
\(246\) 3.52414e22 + 3.97663e22i 0.681036 + 0.768478i
\(247\) 4.94976e21i 0.0920371i
\(248\) −3.08230e22 3.77310e21i −0.551549 0.0675162i
\(249\) −1.52444e22 + 3.76530e21i −0.262553 + 0.0648494i
\(250\) 2.45155e22 + 4.67472e22i 0.406453 + 0.775043i
\(251\) 1.58371e22 0.252798 0.126399 0.991979i \(-0.459658\pi\)
0.126399 + 0.991979i \(0.459658\pi\)
\(252\) 2.78189e22 + 3.36863e21i 0.427597 + 0.0517783i
\(253\) −2.01474e21 −0.0298246
\(254\) −1.48602e22 2.83362e22i −0.211888 0.404037i
\(255\) −2.25171e22 + 5.56162e21i −0.309300 + 0.0763959i
\(256\) −5.66860e22 + 4.99568e22i −0.750233 + 0.661173i
\(257\) 2.84469e22i 0.362802i −0.983409 0.181401i \(-0.941937\pi\)
0.983409 0.181401i \(-0.0580633\pi\)
\(258\) −1.04572e22 1.17998e22i −0.128537 0.145040i
\(259\) 1.34638e22i 0.159521i
\(260\) 2.02991e21 + 1.40309e21i 0.0231862 + 0.0160265i
\(261\) −7.08012e22 1.34581e23i −0.779751 1.48217i
\(262\) 5.81092e22 3.04739e22i 0.617138 0.323643i
\(263\) −6.76401e22 −0.692827 −0.346413 0.938082i \(-0.612601\pi\)
−0.346413 + 0.938082i \(0.612601\pi\)
\(264\) 2.53752e20 + 2.09838e21i 0.00250710 + 0.0207323i
\(265\) −1.16757e22 −0.111288
\(266\) 6.77360e22 3.55225e22i 0.622937 0.326684i
\(267\) −4.33709e22 1.75594e23i −0.384894 1.55830i
\(268\) 1.56175e23 + 1.07950e23i 1.33762 + 0.924576i
\(269\) 8.86687e22i 0.733034i −0.930411 0.366517i \(-0.880550\pi\)
0.930411 0.366517i \(-0.119450\pi\)
\(270\) −5.86192e22 2.21550e22i −0.467826 0.176814i
\(271\) 8.36258e22i 0.644365i −0.946678 0.322182i \(-0.895584\pi\)
0.946678 0.322182i \(-0.104416\pi\)
\(272\) −8.00939e22 + 3.02565e22i −0.595930 + 0.225120i
\(273\) −8.10077e20 3.27972e21i −0.00582078 0.0235663i
\(274\) 5.41483e22 + 1.03253e23i 0.375798 + 0.716590i
\(275\) 2.33588e21 0.0156599
\(276\) 7.82242e22 2.06159e23i 0.506647 1.33526i
\(277\) −1.68159e23 −1.05236 −0.526178 0.850374i \(-0.676376\pi\)
−0.526178 + 0.850374i \(0.676376\pi\)
\(278\) 3.76046e22 + 7.17062e22i 0.227413 + 0.433642i
\(279\) −4.42644e22 8.41391e22i −0.258711 0.491765i
\(280\) −4.63307e21 + 3.78482e22i −0.0261738 + 0.213818i
\(281\) 1.17721e23i 0.642898i 0.946927 + 0.321449i \(0.104170\pi\)
−0.946927 + 0.321449i \(0.895830\pi\)
\(282\) 9.44633e22 8.37147e22i 0.498766 0.442013i
\(283\) 1.93382e23i 0.987290i 0.869664 + 0.493645i \(0.164336\pi\)
−0.869664 + 0.493645i \(0.835664\pi\)
\(284\) −1.47783e23 + 2.13803e23i −0.729624 + 1.05557i
\(285\) −1.66055e23 + 4.10149e22i −0.792913 + 0.195846i
\(286\) 2.25670e20 1.18347e20i 0.00104231 0.000546614i
\(287\) 9.89851e22 0.442274
\(288\) −2.24570e23 5.55064e22i −0.970786 0.239946i
\(289\) 1.42054e23 0.594189
\(290\) 1.83254e23 9.61033e22i 0.741777 0.389007i
\(291\) 3.76658e23 9.30329e22i 1.47558 0.364463i
\(292\) 2.10646e23 3.04749e23i 0.798759 1.15559i
\(293\) 1.04801e22i 0.0384699i 0.999815 + 0.0192350i \(0.00612305\pi\)
−0.999815 + 0.0192350i \(0.993877\pi\)
\(294\) −1.71520e23 + 1.52004e23i −0.609559 + 0.540199i
\(295\) 1.30918e23i 0.450494i
\(296\) 1.35048e22 1.10323e23i 0.0450005 0.367615i
\(297\) −4.83749e21 + 4.29830e21i −0.0156111 + 0.0138711i
\(298\) 1.03887e23 + 1.98097e23i 0.324718 + 0.619188i
\(299\) −2.65831e22 −0.0804878
\(300\) −9.06926e22 + 2.39020e23i −0.266024 + 0.701103i
\(301\) −2.93718e22 −0.0834736
\(302\) 2.07324e23 + 3.95335e23i 0.570931 + 1.08868i
\(303\) 8.20713e22 + 3.32278e23i 0.219021 + 0.886742i
\(304\) −5.90662e23 + 2.23130e23i −1.52771 + 0.577111i
\(305\) 1.87464e23i 0.469969i
\(306\) −2.15825e23 1.48766e23i −0.524504 0.361535i
\(307\) 1.26257e22i 0.0297468i −0.999889 0.0148734i \(-0.995265\pi\)
0.999889 0.0148734i \(-0.00473452\pi\)
\(308\) 3.23910e21 + 2.23890e21i 0.00739932 + 0.00511449i
\(309\) 1.87604e23 + 7.59544e23i 0.415563 + 1.68247i
\(310\) 1.14569e23 6.00831e22i 0.246112 0.129067i
\(311\) −6.08260e23 −1.26726 −0.633629 0.773637i \(-0.718436\pi\)
−0.633629 + 0.773637i \(0.718436\pi\)
\(312\) 3.34808e21 + 2.76867e22i 0.00676593 + 0.0559504i
\(313\) 7.35615e23 1.44205 0.721024 0.692910i \(-0.243672\pi\)
0.721024 + 0.692910i \(0.243672\pi\)
\(314\) 7.54930e23 3.95905e23i 1.43574 0.752937i
\(315\) −1.03316e23 + 5.43531e22i −0.190642 + 0.100294i
\(316\) −4.39842e23 3.04024e23i −0.787535 0.544353i
\(317\) 1.00655e24i 1.74893i −0.485088 0.874465i \(-0.661212\pi\)
0.485088 0.874465i \(-0.338788\pi\)
\(318\) −8.75186e22 9.87556e22i −0.147585 0.166535i
\(319\) 2.13681e22i 0.0349748i
\(320\) 7.59271e22 3.05482e23i 0.120635 0.485357i
\(321\) 4.49941e23 1.11134e23i 0.693998 0.171415i
\(322\) −1.90777e23 3.63783e23i −0.285690 0.544768i
\(323\) −7.15473e23 −1.04033
\(324\) −2.52006e23 6.61884e23i −0.355822 0.934554i
\(325\) 3.08203e22 0.0422615
\(326\) 5.60277e22 + 1.06836e23i 0.0746167 + 0.142283i
\(327\) 9.92633e23 2.45176e23i 1.28406 0.317157i
\(328\) −8.11088e23 9.92869e22i −1.01922 0.124764i
\(329\) 2.35135e23i 0.287050i
\(330\) −5.84028e21 6.59015e21i −0.00692710 0.00781651i
\(331\) 6.87132e23i 0.791907i −0.918271 0.395953i \(-0.870414\pi\)
0.918271 0.395953i \(-0.129586\pi\)
\(332\) 1.37307e23 1.98648e23i 0.153774 0.222470i
\(333\) 3.01153e23 1.58433e23i 0.327769 0.172435i
\(334\) 3.25361e23 1.70628e23i 0.344171 0.180492i
\(335\) −7.90932e23 −0.813230
\(336\) −3.54857e23 + 2.44515e23i −0.354675 + 0.244389i
\(337\) −3.34020e23 −0.324555 −0.162278 0.986745i \(-0.551884\pi\)
−0.162278 + 0.986745i \(0.551884\pi\)
\(338\) −9.34476e23 + 4.90063e23i −0.882794 + 0.462960i
\(339\) 3.68524e23 + 1.49203e24i 0.338508 + 1.37050i
\(340\) 2.02813e23 2.93417e23i 0.181153 0.262081i
\(341\) 1.33592e22i 0.0116042i
\(342\) −1.59163e24 1.09709e24i −1.34460 0.926820i
\(343\) 9.51135e23i 0.781534i
\(344\) 2.40674e23 + 2.94614e22i 0.192364 + 0.0235477i
\(345\) 2.20274e23 + 8.91814e23i 0.171270 + 0.693415i
\(346\) 2.70091e22 + 5.15022e22i 0.0204309 + 0.0389586i
\(347\) 6.12663e23 0.450912 0.225456 0.974253i \(-0.427613\pi\)
0.225456 + 0.974253i \(0.427613\pi\)
\(348\) 2.18650e24 + 8.29637e23i 1.56584 + 0.594135i
\(349\) −3.04085e23 −0.211911 −0.105956 0.994371i \(-0.533790\pi\)
−0.105956 + 0.994371i \(0.533790\pi\)
\(350\) 2.21186e23 + 4.21767e23i 0.150007 + 0.286040i
\(351\) −6.38274e22 + 5.67131e22i −0.0421298 + 0.0374340i
\(352\) −2.42956e22 2.15946e22i −0.0156089 0.0138736i
\(353\) 8.06696e21i 0.00504488i 0.999997 + 0.00252244i \(0.000802918\pi\)
−0.999997 + 0.00252244i \(0.999197\pi\)
\(354\) −1.10733e24 + 9.81333e23i −0.674135 + 0.597428i
\(355\) 1.08278e24i 0.641756i
\(356\) 2.28814e24 + 1.58159e24i 1.32041 + 0.912679i
\(357\) −4.74075e23 + 1.17094e23i −0.266378 + 0.0657943i
\(358\) 1.29182e24 6.77464e23i 0.706828 0.370679i
\(359\) −4.18286e23 −0.222882 −0.111441 0.993771i \(-0.535547\pi\)
−0.111441 + 0.993771i \(0.535547\pi\)
\(360\) 9.01094e23 3.41741e23i 0.467624 0.177347i
\(361\) −3.29792e24 −1.66695
\(362\) 2.28241e23 1.19696e23i 0.112373 0.0589314i
\(363\) 2.02332e24 4.99751e23i 0.970402 0.239685i
\(364\) 4.27376e22 + 2.95407e22i 0.0199686 + 0.0138025i
\(365\) 1.54337e24i 0.702565i
\(366\) −1.58561e24 + 1.40519e24i −0.703278 + 0.623254i
\(367\) 4.37679e24i 1.89160i −0.324755 0.945798i \(-0.605282\pi\)
0.324755 0.945798i \(-0.394718\pi\)
\(368\) 1.19834e24 + 3.17221e24i 0.504692 + 1.33600i
\(369\) −1.16479e24 2.21407e24i −0.478076 0.908742i
\(370\) 2.15051e23 + 4.10070e23i 0.0860253 + 0.164037i
\(371\) −2.45820e23 −0.0958439
\(372\) 1.36699e24 + 5.18683e23i 0.519524 + 0.197126i
\(373\) −3.67881e23 −0.136293 −0.0681465 0.997675i \(-0.521709\pi\)
−0.0681465 + 0.997675i \(0.521709\pi\)
\(374\) −1.71068e22 3.26200e22i −0.00617856 0.0117816i
\(375\) −5.95953e23 2.41281e24i −0.209853 0.849622i
\(376\) −2.35852e23 + 1.92671e24i −0.0809759 + 0.661503i
\(377\) 2.81938e23i 0.0943866i
\(378\) −1.23417e24 4.66451e23i −0.402905 0.152277i
\(379\) 3.49425e24i 1.11245i 0.831031 + 0.556227i \(0.187751\pi\)
−0.831031 + 0.556227i \(0.812249\pi\)
\(380\) 1.49567e24 2.16384e24i 0.464399 0.671864i
\(381\) 3.61242e23 + 1.46254e24i 0.109398 + 0.442916i
\(382\) 4.18681e24 2.19567e24i 1.23675 0.648583i
\(383\) −1.23234e24 −0.355094 −0.177547 0.984112i \(-0.556816\pi\)
−0.177547 + 0.984112i \(0.556816\pi\)
\(384\) 3.15297e24 1.64762e24i 0.886286 0.463139i
\(385\) −1.64040e22 −0.00449856
\(386\) −4.98466e24 + 2.61409e24i −1.33369 + 0.699424i
\(387\) 3.45628e23 + 6.56980e23i 0.0902308 + 0.171513i
\(388\) −3.39259e24 + 4.90818e24i −0.864230 + 1.25031i
\(389\) 4.53825e24i 1.12815i −0.825723 0.564076i \(-0.809232\pi\)
0.825723 0.564076i \(-0.190768\pi\)
\(390\) −7.70585e22 8.69525e22i −0.0186942 0.0210945i
\(391\) 3.84252e24i 0.909781i
\(392\) 4.28245e23 3.49839e24i 0.0989634 0.808445i
\(393\) −2.99924e24 + 7.40799e23i −0.676522 + 0.167098i
\(394\) 3.04064e24 + 5.79803e24i 0.669500 + 1.27663i
\(395\) 2.22753e24 0.478797
\(396\) 1.19635e22 9.87969e22i 0.00251045 0.0207319i
\(397\) 4.21065e24 0.862660 0.431330 0.902194i \(-0.358045\pi\)
0.431330 + 0.902194i \(0.358045\pi\)
\(398\) −3.47165e24 6.61990e24i −0.694459 1.32423i
\(399\) −3.49612e24 + 8.63527e23i −0.682879 + 0.168668i
\(400\) −1.38935e24 3.67784e24i −0.264998 0.701492i
\(401\) 2.73660e23i 0.0509730i 0.999675 + 0.0254865i \(0.00811348\pi\)
−0.999675 + 0.0254865i \(0.991887\pi\)
\(402\) −5.92867e24 6.68989e24i −1.07847 1.21695i
\(403\) 1.76265e23i 0.0313162i
\(404\) −4.32987e24 2.99286e24i −0.751367 0.519353i
\(405\) 2.43151e24 + 1.67135e24i 0.412148 + 0.283299i
\(406\) 3.85824e24 2.02336e24i 0.638839 0.335024i
\(407\) 4.78157e22 0.00773434
\(408\) 4.00204e24 4.83956e23i 0.632426 0.0764776i
\(409\) 3.26715e24 0.504426 0.252213 0.967672i \(-0.418842\pi\)
0.252213 + 0.967672i \(0.418842\pi\)
\(410\) 3.01482e24 1.58105e24i 0.454794 0.238506i
\(411\) −1.31631e24 5.32927e24i −0.194026 0.785544i
\(412\) −9.89751e24 6.84127e24i −1.42562 0.985401i
\(413\) 2.75634e24i 0.387978i
\(414\) −5.89204e24 + 8.54799e24i −0.810518 + 1.17587i
\(415\) 1.00603e24i 0.135255i
\(416\) −3.20563e23 2.84926e23i −0.0421237 0.0374408i
\(417\) −9.14140e23 3.70104e24i −0.117414 0.475369i
\(418\) −1.26156e23 2.40560e23i −0.0158392 0.0302029i
\(419\) 6.97708e24 0.856328 0.428164 0.903701i \(-0.359161\pi\)
0.428164 + 0.903701i \(0.359161\pi\)
\(420\) 6.36901e23 1.67855e24i 0.0764194 0.201403i
\(421\) 1.17558e25 1.37902 0.689512 0.724274i \(-0.257825\pi\)
0.689512 + 0.724274i \(0.257825\pi\)
\(422\) 1.59029e24 + 3.03244e24i 0.182393 + 0.347795i
\(423\) −5.25943e24 + 2.76692e24i −0.589801 + 0.310286i
\(424\) 2.01426e24 + 2.46569e23i 0.220871 + 0.0270373i
\(425\) 4.45499e24i 0.477696i
\(426\) 9.15839e24 8.11629e24i 0.960346 0.851072i
\(427\) 3.94686e24i 0.404750i
\(428\) −4.05266e24 + 5.86313e24i −0.406466 + 0.588049i
\(429\) −1.16477e22 + 2.87693e21i −0.00114261 + 0.000282219i
\(430\) −8.94587e23 + 4.69144e23i −0.0858365 + 0.0450149i
\(431\) −2.95422e24 −0.277274 −0.138637 0.990343i \(-0.544272\pi\)
−0.138637 + 0.990343i \(0.544272\pi\)
\(432\) 9.64495e24 + 5.06005e24i 0.885532 + 0.464578i
\(433\) 2.96147e24 0.265995 0.132997 0.991116i \(-0.457540\pi\)
0.132997 + 0.991116i \(0.457540\pi\)
\(434\) 2.41214e24 1.26499e24i 0.211958 0.111156i
\(435\) −9.45848e24 + 2.33620e24i −0.813155 + 0.200846i
\(436\) −8.94072e24 + 1.29349e25i −0.752057 + 1.08803i
\(437\) 2.83371e25i 2.33229i
\(438\) −1.30542e25 + 1.15688e25i −1.05134 + 0.931715i
\(439\) 1.23072e25i 0.969944i 0.874530 + 0.484972i \(0.161170\pi\)
−0.874530 + 0.484972i \(0.838830\pi\)
\(440\) 1.34415e23 + 1.64540e22i 0.0103669 + 0.00126903i
\(441\) 9.54973e24 5.02398e24i 0.720816 0.379211i
\(442\) −2.25712e23 4.30398e23i −0.0166741 0.0317950i
\(443\) 1.94166e25 1.40391 0.701954 0.712222i \(-0.252311\pi\)
0.701954 + 0.712222i \(0.252311\pi\)
\(444\) −1.85649e24 + 4.89276e24i −0.131387 + 0.346271i
\(445\) −1.15880e25 −0.802766
\(446\) 2.75797e24 + 5.25903e24i 0.187029 + 0.356635i
\(447\) −2.52542e24 1.02245e25i −0.167653 0.678770i
\(448\) 1.59857e24 6.43162e24i 0.103894 0.418003i
\(449\) 2.06078e25i 1.31127i 0.755079 + 0.655634i \(0.227599\pi\)
−0.755079 + 0.655634i \(0.772401\pi\)
\(450\) 6.83119e24 9.91048e24i 0.425576 0.617413i
\(451\) 3.51539e23i 0.0214435i
\(452\) −1.94424e25 1.34388e25i −1.16127 0.802685i
\(453\) −5.03989e24 2.04048e25i −0.294774 1.19344i
\(454\) 1.17314e25 6.15224e24i 0.671922 0.352373i
\(455\) −2.16440e23 −0.0121403
\(456\) 2.95135e25 3.56899e24i 1.62127 0.196056i
\(457\) −1.30246e25 −0.700747 −0.350374 0.936610i \(-0.613945\pi\)
−0.350374 + 0.936610i \(0.613945\pi\)
\(458\) 6.26169e24 3.28379e24i 0.329966 0.173043i
\(459\) 8.19772e24 + 9.22606e24i 0.423129 + 0.476207i
\(460\) −1.16211e25 8.03264e24i −0.587555 0.406124i
\(461\) 3.34568e25i 1.65701i −0.559980 0.828506i \(-0.689191\pi\)
0.559980 0.828506i \(-0.310809\pi\)
\(462\) −1.22961e23 1.38749e23i −0.00596581 0.00673180i
\(463\) 2.32903e25i 1.10702i −0.832842 0.553511i \(-0.813288\pi\)
0.832842 0.553511i \(-0.186712\pi\)
\(464\) −3.36441e25 + 1.27095e25i −1.56671 + 0.591844i
\(465\) −5.91337e24 + 1.46058e24i −0.269794 + 0.0666379i
\(466\) 1.02291e25 + 1.95054e25i 0.457271 + 0.871945i
\(467\) 3.33366e25 1.46020 0.730098 0.683343i \(-0.239475\pi\)
0.730098 + 0.683343i \(0.239475\pi\)
\(468\) 1.57850e23 1.30356e24i 0.00677497 0.0559493i
\(469\) −1.66523e25 −0.700377
\(470\) −3.75572e24 7.16159e24i −0.154798 0.295175i
\(471\) −3.89649e25 + 9.62416e24i −1.57389 + 0.388744i
\(472\) 2.76474e24 2.25856e25i 0.109448 0.894091i
\(473\) 1.04312e23i 0.00404719i
\(474\) 1.66971e25 + 1.88410e25i 0.634961 + 0.716488i
\(475\) 3.28538e25i 1.22461i
\(476\) 4.27003e24 6.17761e24i 0.156014 0.225712i
\(477\) 2.89264e24 + 5.49842e24i 0.103602 + 0.196931i
\(478\) 3.44269e25 1.80543e25i 1.20874 0.633894i
\(479\) −3.34473e25 −1.15126 −0.575630 0.817710i \(-0.695243\pi\)
−0.575630 + 0.817710i \(0.695243\pi\)
\(480\) −6.90246e24 + 1.31152e25i −0.232923 + 0.442573i
\(481\) 6.30895e23 0.0208727
\(482\) 4.29270e23 2.25120e23i 0.0139246 0.00730243i
\(483\) 4.63765e24 + 1.87763e25i 0.147503 + 0.597188i
\(484\) −1.82242e25 + 2.63656e25i −0.568352 + 0.822255i
\(485\) 2.48569e25i 0.760152i
\(486\) 4.08944e24 + 3.30944e25i 0.122636 + 0.992452i
\(487\) 5.17030e25i 1.52052i −0.649622 0.760258i \(-0.725073\pi\)
0.649622 0.760258i \(-0.274927\pi\)
\(488\) 3.95890e24 3.23408e25i 0.114179 0.932743i
\(489\) −1.36199e24 5.51424e24i −0.0385249 0.155974i
\(490\) 6.81939e24 + 1.30035e25i 0.189183 + 0.360744i
\(491\) 1.40058e24 0.0381096 0.0190548 0.999818i \(-0.493934\pi\)
0.0190548 + 0.999818i \(0.493934\pi\)
\(492\) 3.59714e25 + 1.36488e25i 0.960038 + 0.364273i
\(493\) −4.07533e25 −1.06688
\(494\) −1.66454e24 3.17402e24i −0.0427453 0.0815087i
\(495\) 1.93031e23 + 3.66920e23i 0.00486271 + 0.00924319i
\(496\) −2.10340e25 + 7.94588e24i −0.519812 + 0.196366i
\(497\) 2.27968e25i 0.552698i
\(498\) −8.50922e24 + 7.54098e24i −0.202400 + 0.179370i
\(499\) 4.98463e25i 1.16326i 0.813452 + 0.581632i \(0.197586\pi\)
−0.813452 + 0.581632i \(0.802414\pi\)
\(500\) 3.14410e25 + 2.17323e25i 0.719915 + 0.497613i
\(501\) −1.67932e25 + 4.14784e24i −0.377289 + 0.0931888i
\(502\) 1.01555e25 5.32580e24i 0.223880 0.117408i
\(503\) −2.32816e25 −0.503637 −0.251818 0.967775i \(-0.581029\pi\)
−0.251818 + 0.967775i \(0.581029\pi\)
\(504\) 1.89716e25 7.19501e24i 0.402731 0.152736i
\(505\) 2.19281e25 0.456808
\(506\) −1.29195e24 + 6.77532e23i −0.0264129 + 0.0138516i
\(507\) 4.82320e25 1.19131e25i 0.967741 0.239028i
\(508\) −1.90582e25 1.31732e25i −0.375298 0.259410i
\(509\) 5.50733e25i 1.06444i 0.846605 + 0.532221i \(0.178643\pi\)
−0.846605 + 0.532221i \(0.821357\pi\)
\(510\) −1.25687e25 + 1.11386e25i −0.238438 + 0.211307i
\(511\) 3.24940e25i 0.605069i
\(512\) −1.95500e25 + 5.10975e25i −0.357340 + 0.933974i
\(513\) 6.04551e25 + 6.80387e25i 1.08472 + 1.22079i
\(514\) −9.56632e24 1.82415e25i −0.168498 0.321300i
\(515\) 5.01248e25 0.866730
\(516\) −1.06738e25 4.05001e24i −0.181195 0.0687518i
\(517\) −8.35068e23 −0.0139175
\(518\) 4.52769e24 + 8.63362e24i 0.0740874 + 0.141273i
\(519\) −6.56572e23 2.65823e24i −0.0105485 0.0427074i
\(520\) 1.77352e24 + 2.17100e23i 0.0279771 + 0.00342474i
\(521\) 2.98947e25i 0.463059i 0.972828 + 0.231529i \(0.0743729\pi\)
−0.972828 + 0.231529i \(0.925627\pi\)
\(522\) −9.06590e25 6.24903e25i −1.37893 0.950480i
\(523\) 5.08283e25i 0.759171i 0.925157 + 0.379585i \(0.123933\pi\)
−0.925157 + 0.379585i \(0.876067\pi\)
\(524\) 2.70144e25 3.90827e25i 0.396231 0.573241i
\(525\) −5.37686e24 2.17691e25i −0.0774489 0.313564i
\(526\) −4.33741e25 + 2.27465e25i −0.613572 + 0.321773i
\(527\) −2.54787e25 −0.353978
\(528\) 8.68377e23 + 1.26025e24i 0.0118491 + 0.0171963i
\(529\) 7.75717e25 1.03962
\(530\) −7.48701e24 + 3.92638e24i −0.0985570 + 0.0516858i
\(531\) 6.16529e25 3.24348e25i 0.797179 0.419385i
\(532\) 3.14898e25 4.55575e25i 0.399954 0.578628i
\(533\) 4.63831e24i 0.0578697i
\(534\) −8.68614e25 9.80141e25i −1.06460 1.20129i
\(535\) 2.96931e25i 0.357515i
\(536\) 1.36449e26 + 1.67030e25i 1.61401 + 0.197574i
\(537\) −6.66759e25 + 1.64687e25i −0.774843 + 0.191383i
\(538\) −2.98181e25 5.68586e25i −0.340447 0.649180i
\(539\) 1.51626e24 0.0170091
\(540\) −4.50399e25 + 5.50603e24i −0.496428 + 0.0606873i
\(541\) 7.99502e25 0.865856 0.432928 0.901429i \(-0.357480\pi\)
0.432928 + 0.901429i \(0.357480\pi\)
\(542\) −2.81223e25 5.36249e25i −0.299266 0.570654i
\(543\) −1.17804e25 + 2.90971e24i −0.123186 + 0.0304265i
\(544\) −4.11852e25 + 4.63365e25i −0.423206 + 0.476139i
\(545\) 6.55071e25i 0.661488i
\(546\) −1.62239e24 1.83070e24i −0.0161000 0.0181671i
\(547\) 1.32405e26i 1.29129i 0.763637 + 0.645646i \(0.223412\pi\)
−0.763637 + 0.645646i \(0.776588\pi\)
\(548\) 6.94450e25 + 4.80011e25i 0.665619 + 0.460083i
\(549\) 8.82822e25 4.64440e25i 0.831641 0.437515i
\(550\) 1.49788e24 7.85526e23i 0.0138685 0.00727302i
\(551\) −3.00540e26 −2.73503
\(552\) −1.91676e25 1.58505e26i −0.171454 1.41782i
\(553\) 4.68984e25 0.412353
\(554\) −1.07832e26 + 5.65498e25i −0.931974 + 0.488751i
\(555\) −5.22774e24 2.11653e25i −0.0444151 0.179822i
\(556\) 4.82277e25 + 3.33355e25i 0.402797 + 0.278418i
\(557\) 2.47116e24i 0.0202897i −0.999949 0.0101449i \(-0.996771\pi\)
0.999949 0.0101449i \(-0.00322927\pi\)
\(558\) −5.66793e25 3.90685e25i −0.457509 0.315356i
\(559\) 1.37633e24i 0.0109222i
\(560\) 9.75690e24 + 2.58281e25i 0.0761247 + 0.201514i
\(561\) 4.15853e23 + 1.68364e24i 0.00319001 + 0.0129153i
\(562\) 3.95879e25 + 7.54881e25i 0.298585 + 0.569355i
\(563\) 5.43011e25 0.402698 0.201349 0.979520i \(-0.435468\pi\)
0.201349 + 0.979520i \(0.435468\pi\)
\(564\) 3.24223e25 8.54487e25i 0.236424 0.623094i
\(565\) 9.84637e25 0.706018
\(566\) 6.50318e25 + 1.24006e26i 0.458532 + 0.874351i
\(567\) 5.11929e25 + 3.51886e25i 0.354953 + 0.243985i
\(568\) −2.28663e25 + 1.86798e26i −0.155915 + 1.27369i
\(569\) 1.70737e26i 1.14488i −0.819946 0.572440i \(-0.805997\pi\)
0.819946 0.572440i \(-0.194003\pi\)
\(570\) −9.26897e25 + 8.21428e25i −0.611252 + 0.541700i
\(571\) 1.27254e26i 0.825330i −0.910883 0.412665i \(-0.864598\pi\)
0.910883 0.412665i \(-0.135402\pi\)
\(572\) 1.04912e23 1.51780e23i 0.000669210 0.000968170i
\(573\) −2.16098e26 + 5.33752e25i −1.35576 + 0.334866i
\(574\) 6.34740e25 3.32874e25i 0.391681 0.205408i
\(575\) −1.76445e26 −1.07094
\(576\) −1.62671e26 + 3.99267e25i −0.971175 + 0.238369i
\(577\) −1.36184e26 −0.799751 −0.399875 0.916570i \(-0.630947\pi\)
−0.399875 + 0.916570i \(0.630947\pi\)
\(578\) 9.10919e25 4.77710e25i 0.526218 0.275962i
\(579\) 2.57278e26 6.35465e25i 1.46203 0.361115i
\(580\) 8.51932e25 1.23252e26i 0.476255 0.689015i
\(581\) 2.11809e25i 0.116485i
\(582\) 2.10245e26 1.86322e26i 1.13752 1.00808i
\(583\) 8.73012e23i 0.00464696i
\(584\) 3.25931e25 2.66257e26i 0.170688 1.39437i
\(585\) 2.54692e24 + 4.84125e24i 0.0131230 + 0.0249446i
\(586\) 3.52431e24 + 6.72031e24i 0.0178668 + 0.0340692i
\(587\) 3.62218e26 1.80679 0.903396 0.428806i \(-0.141066\pi\)
0.903396 + 0.428806i \(0.141066\pi\)
\(588\) −5.88702e25 + 1.55152e26i −0.288942 + 0.761505i
\(589\) −1.87895e26 −0.907446
\(590\) 4.40259e25 + 8.39507e25i 0.209225 + 0.398961i
\(591\) −7.39157e25 2.99259e26i −0.345665 1.39948i
\(592\) −2.84401e25 7.52857e25i −0.130881 0.346463i
\(593\) 1.53554e26i 0.695410i 0.937604 + 0.347705i \(0.113039\pi\)
−0.937604 + 0.347705i \(0.886961\pi\)
\(594\) −1.65657e24 + 4.38306e24i −0.00738309 + 0.0195347i
\(595\) 3.12857e25i 0.137226i
\(596\) 1.33235e26 + 9.20932e25i 0.575145 + 0.397547i
\(597\) 8.43932e25 + 3.41679e26i 0.358551 + 1.45165i
\(598\) −1.70464e25 + 8.93956e24i −0.0712805 + 0.0373814i
\(599\) −1.14623e26 −0.471754 −0.235877 0.971783i \(-0.575796\pi\)
−0.235877 + 0.971783i \(0.575796\pi\)
\(600\) 2.22228e25 + 1.83770e26i 0.0900247 + 0.744453i
\(601\) −4.40187e26 −1.75521 −0.877607 0.479380i \(-0.840861\pi\)
−0.877607 + 0.479380i \(0.840861\pi\)
\(602\) −1.88346e25 + 9.87736e24i −0.0739248 + 0.0387681i
\(603\) 1.95953e26 + 3.72473e26i 0.757072 + 1.43906i
\(604\) 2.65892e26 + 1.83787e26i 1.01124 + 0.698980i
\(605\) 1.33525e26i 0.499906i
\(606\) 1.64369e26 + 1.85473e26i 0.605801 + 0.683583i
\(607\) 3.90853e25i 0.141815i −0.997483 0.0709073i \(-0.977411\pi\)
0.997483 0.0709073i \(-0.0225894\pi\)
\(608\) −3.03725e26 + 3.41714e26i −1.08492 + 1.22062i
\(609\) −1.99139e26 + 4.91864e25i −0.700312 + 0.172974i
\(610\) 6.30417e25 + 1.20211e26i 0.218270 + 0.416208i
\(611\) −1.10181e25 −0.0375592
\(612\) −1.88426e26 2.28167e25i −0.632414 0.0765798i
\(613\) 1.55280e26 0.513145 0.256573 0.966525i \(-0.417407\pi\)
0.256573 + 0.966525i \(0.417407\pi\)
\(614\) −4.24585e24 8.09619e24i −0.0138154 0.0263440i
\(615\) −1.55607e26 + 3.84342e25i −0.498557 + 0.123141i
\(616\) 2.82998e24 + 3.46423e23i 0.00892824 + 0.00109292i
\(617\) 1.90605e26i 0.592142i −0.955166 0.296071i \(-0.904324\pi\)
0.955166 0.296071i \(-0.0956764\pi\)
\(618\) 3.75725e26 + 4.23967e26i 1.14942 + 1.29700i
\(619\) 1.95485e26i 0.588914i −0.955665 0.294457i \(-0.904861\pi\)
0.955665 0.294457i \(-0.0951387\pi\)
\(620\) 5.32622e25 7.70563e25i 0.158015 0.228606i
\(621\) 3.65408e26 3.24680e26i 1.06760 0.948605i
\(622\) −3.90045e26 + 2.04550e26i −1.12229 + 0.588560i
\(623\) −2.43974e26 −0.691365
\(624\) 1.14576e25 + 1.66281e25i 0.0319773 + 0.0464077i
\(625\) 1.13574e26 0.312190
\(626\) 4.71712e26 2.47378e26i 1.27709 0.669738i
\(627\) 3.06676e24 + 1.24162e25i 0.00817782 + 0.0331092i
\(628\) 3.50960e26 5.07746e26i 0.921808 1.33361i
\(629\) 9.11941e25i 0.235931i
\(630\) −4.79729e25 + 6.95977e25i −0.122253 + 0.177362i
\(631\) 1.41529e26i 0.355278i −0.984096 0.177639i \(-0.943154\pi\)
0.984096 0.177639i \(-0.0568459\pi\)
\(632\) −3.84287e26 4.70414e25i −0.950263 0.116324i
\(633\) −3.86588e25 1.56516e26i −0.0941701 0.381262i
\(634\) −3.38490e26 6.45449e26i −0.812265 1.54887i
\(635\) 9.65180e25 0.228170
\(636\) −8.93314e25 3.38955e25i −0.208047 0.0789404i
\(637\) 2.00060e25 0.0459024
\(638\) −7.18582e24 1.37023e25i −0.0162435 0.0309739i
\(639\) −5.09912e26 + 2.68257e26i −1.13563 + 0.597439i
\(640\) −5.40416e25 2.21423e26i −0.118582 0.485862i
\(641\) 1.89800e26i 0.410341i 0.978726 + 0.205171i \(0.0657749\pi\)
−0.978726 + 0.205171i \(0.934225\pi\)
\(642\) 2.51151e26 2.22574e26i 0.534999 0.474123i
\(643\) 5.08915e26i 1.06817i −0.845430 0.534085i \(-0.820656\pi\)
0.845430 0.534085i \(-0.179344\pi\)
\(644\) −2.44671e26 1.69119e26i −0.506019 0.349766i
\(645\) 4.61731e25 1.14046e25i 0.0940962 0.0232413i
\(646\) −4.58796e26 + 2.40604e26i −0.921320 + 0.483164i
\(647\) 9.80984e25 0.194120 0.0970602 0.995279i \(-0.469056\pi\)
0.0970602 + 0.995279i \(0.469056\pi\)
\(648\) −3.84181e26 3.39686e26i −0.749158 0.662391i
\(649\) 9.78896e24 0.0188110
\(650\) 1.97635e25 1.03645e25i 0.0374271 0.0196277i
\(651\) −1.24500e26 + 3.07510e25i −0.232354 + 0.0573904i
\(652\) 7.18554e25 + 4.96672e25i 0.132162 + 0.0913519i
\(653\) 4.05951e26i 0.735865i 0.929852 + 0.367933i \(0.119934\pi\)
−0.929852 + 0.367933i \(0.880066\pi\)
\(654\) 5.54075e26 4.91028e26i 0.989873 0.877239i
\(655\) 1.97930e26i 0.348513i
\(656\) −5.53497e26 + 2.09091e26i −0.960570 + 0.362868i
\(657\) 7.26816e26 3.82368e26i 1.24324 0.654049i
\(658\) −7.90730e25 1.50780e26i −0.133316 0.254213i
\(659\) 6.46283e26 1.07402 0.537009 0.843577i \(-0.319554\pi\)
0.537009 + 0.843577i \(0.319554\pi\)
\(660\) −5.96125e24 2.26191e24i −0.00976495 0.00370517i
\(661\) 3.56894e26 0.576269 0.288135 0.957590i \(-0.406965\pi\)
0.288135 + 0.957590i \(0.406965\pi\)
\(662\) −2.31074e26 4.40622e26i −0.367789 0.701318i
\(663\) 5.48689e24 + 2.22145e25i 0.00860890 + 0.0348545i
\(664\) 2.12455e25 1.73557e26i 0.0328602 0.268439i
\(665\) 2.30721e26i 0.351788i
\(666\) 1.39835e26 2.02869e26i 0.210190 0.304937i
\(667\) 1.61408e27i 2.39183i
\(668\) 1.51257e26 2.18830e26i 0.220974 0.319690i
\(669\) −6.70442e25 2.71439e26i −0.0965636 0.390953i
\(670\) −5.07184e26 + 2.65980e26i −0.720202 + 0.377693i
\(671\) 1.40170e25 0.0196242
\(672\) −1.45324e26 + 2.76128e26i −0.200600 + 0.381156i
\(673\) 9.43031e26 1.28346 0.641731 0.766930i \(-0.278217\pi\)
0.641731 + 0.766930i \(0.278217\pi\)
\(674\) −2.14190e26 + 1.12327e26i −0.287429 + 0.150735i
\(675\) −4.23652e26 + 3.76432e26i −0.560562 + 0.498081i
\(676\) −4.34429e26 + 6.28504e26i −0.566794 + 0.820001i
\(677\) 1.28852e27i 1.65767i 0.559491 + 0.828836i \(0.310997\pi\)
−0.559491 + 0.828836i \(0.689003\pi\)
\(678\) 7.38064e26 + 8.32829e26i 0.936294 + 1.05651i
\(679\) 5.23337e26i 0.654664i
\(680\) 3.13811e25 2.56357e26i 0.0387110 0.316235i
\(681\) −6.05503e26 + 1.49557e26i −0.736578 + 0.181931i
\(682\) −4.49252e24 8.56656e24i −0.00538938 0.0102767i
\(683\) 1.01186e27 1.19709 0.598543 0.801091i \(-0.295747\pi\)
0.598543 + 0.801091i \(0.295747\pi\)
\(684\) −1.38957e27 1.68265e26i −1.62124 0.196318i
\(685\) −3.51696e26 −0.404676
\(686\) 3.19854e26 + 6.09913e26i 0.362972 + 0.692132i
\(687\) −3.23191e26 + 7.98267e25i −0.361718 + 0.0893427i
\(688\) 1.64239e26 6.20435e25i 0.181295 0.0684866i
\(689\) 1.15188e25i 0.0125408i
\(690\) 4.41156e26 + 4.97799e26i 0.473724 + 0.534549i
\(691\) 7.56562e25i 0.0801315i −0.999197 0.0400658i \(-0.987243\pi\)
0.999197 0.0400658i \(-0.0127567\pi\)
\(692\) 3.46391e25 + 2.39429e25i 0.0361875 + 0.0250132i
\(693\) 4.06408e24 + 7.72513e24i 0.00418791 + 0.00796049i
\(694\) 3.92869e26 2.06031e26i 0.399331 0.209419i
\(695\) −2.44244e26 −0.244888
\(696\) 1.68109e27 2.03289e26i 1.66266 0.201061i
\(697\) −6.70455e26 −0.654121
\(698\) −1.94994e26 + 1.02260e26i −0.187670 + 0.0984190i
\(699\) −2.48663e26 1.00675e27i −0.236090 0.955848i
\(700\) 2.83670e26 + 1.96076e26i 0.265694 + 0.183650i
\(701\) 1.54289e27i 1.42565i −0.701340 0.712827i \(-0.747415\pi\)
0.701340 0.712827i \(-0.252585\pi\)
\(702\) −2.18573e25 + 5.78315e25i −0.0199248 + 0.0527184i
\(703\) 6.72522e26i 0.604826i
\(704\) −2.28415e25 5.67721e24i −0.0202667 0.00503726i
\(705\) 9.12989e25 + 3.69638e26i 0.0799225 + 0.323579i
\(706\) 2.71282e24 + 5.17292e24i 0.00234302 + 0.00446778i
\(707\) 4.61675e26 0.393416
\(708\) −3.80065e26 + 1.00166e27i −0.319552 + 0.842178i
\(709\) 1.74705e26 0.144933 0.0724665 0.997371i \(-0.476913\pi\)
0.0724665 + 0.997371i \(0.476913\pi\)
\(710\) −3.64124e26 6.94329e26i −0.298054 0.568344i
\(711\) −5.51869e26 1.04901e27i −0.445733 0.847262i
\(712\) 1.99913e27 + 2.44718e26i 1.59324 + 0.195032i
\(713\) 1.00911e27i 0.793575i
\(714\) −2.64622e26 + 2.34512e26i −0.205349 + 0.181983i
\(715\) 7.68671e23i 0.000588617i
\(716\) 6.00555e26 8.68845e26i 0.453815 0.656551i
\(717\) −1.77691e27 + 4.38888e26i −1.32505 + 0.327282i
\(718\) −2.68225e26 + 1.40664e26i −0.197386 + 0.103514i
\(719\) −1.38061e26 −0.100264 −0.0501322 0.998743i \(-0.515964\pi\)
−0.0501322 + 0.998743i \(0.515964\pi\)
\(720\) 4.62902e26 5.22167e26i 0.331765 0.374240i
\(721\) 1.05533e27 0.746452
\(722\) −2.11479e27 + 1.10905e27i −1.47626 + 0.774190i
\(723\) −2.21563e25 + 5.47251e24i −0.0152645 + 0.00377027i
\(724\) 1.06107e26 1.53509e26i 0.0721487 0.104380i
\(725\) 1.87135e27i 1.25587i
\(726\) 1.12939e27 1.00088e27i 0.748076 0.662955i
\(727\) 1.53336e27i 1.00246i 0.865314 + 0.501230i \(0.167119\pi\)
−0.865314 + 0.501230i \(0.832881\pi\)
\(728\) 3.73396e25 + 4.57081e24i 0.0240947 + 0.00294948i
\(729\) 1.84683e26 1.55914e27i 0.117629 0.993058i
\(730\) 5.19014e26 + 9.89680e26i 0.326296 + 0.622197i
\(731\) 1.98944e26 0.123457
\(732\) −5.44224e26 + 1.43430e27i −0.333367 + 0.878585i
\(733\) −3.15907e27 −1.91017 −0.955084 0.296335i \(-0.904236\pi\)
−0.955084 + 0.296335i \(0.904236\pi\)
\(734\) −1.47186e27 2.80661e27i −0.878524 1.67521i
\(735\) −1.65775e26 6.71164e26i −0.0976760 0.395456i
\(736\) 1.83521e27 + 1.63119e27i 1.06745 + 0.948777i
\(737\) 5.91394e25i 0.0339575i
\(738\) −1.49148e27 1.02806e27i −0.845439 0.582752i
\(739\) 4.80014e26i 0.268616i −0.990940 0.134308i \(-0.957119\pi\)
0.990940 0.134308i \(-0.0428812\pi\)
\(740\) 2.75803e26 + 1.90638e26i 0.152369 + 0.105319i
\(741\) 4.04637e25 + 1.63824e26i 0.0220695 + 0.0893519i
\(742\) −1.57631e26 + 8.26660e25i −0.0848801 + 0.0445133i
\(743\) 1.11721e27 0.593940 0.296970 0.954887i \(-0.404024\pi\)
0.296970 + 0.954887i \(0.404024\pi\)
\(744\) 1.05100e27 1.27095e26i 0.551647 0.0667092i
\(745\) −6.74751e26 −0.349670
\(746\) −2.35903e26 + 1.23714e26i −0.120702 + 0.0632993i
\(747\) 4.73768e26 2.49243e26i 0.239342 0.125915i
\(748\) −2.19393e25 1.51647e25i −0.0109436 0.00756430i
\(749\) 6.25159e26i 0.307902i
\(750\) −1.19355e27 1.34680e27i −0.580442 0.654968i
\(751\) 9.35237e26i 0.449099i 0.974463 + 0.224550i \(0.0720910\pi\)
−0.974463 + 0.224550i \(0.927909\pi\)
\(752\) 4.96687e26 + 1.31481e27i 0.235512 + 0.623440i
\(753\) −5.24164e26 + 1.29466e26i −0.245423 + 0.0606184i
\(754\) −9.48120e25 1.80792e26i −0.0438365 0.0835894i
\(755\) −1.34658e27 −0.614803
\(756\) −9.48269e26 + 1.15924e26i −0.427538 + 0.0522656i
\(757\) 1.70298e27 0.758225 0.379112 0.925351i \(-0.376229\pi\)
0.379112 + 0.925351i \(0.376229\pi\)
\(758\) 1.17507e27 + 2.24068e27i 0.516662 + 0.985197i
\(759\) 6.66826e25 1.64703e25i 0.0289545 0.00715163i
\(760\) 2.31424e26 1.89053e27i 0.0992383 0.810691i
\(761\) 8.30549e26i 0.351731i 0.984414 + 0.175866i \(0.0562725\pi\)
−0.984414 + 0.175866i \(0.943728\pi\)
\(762\) 7.23480e26 + 8.16372e26i 0.302590 + 0.341441i
\(763\) 1.37919e27i