Properties

Label 12.20.b.a.11.5
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.5
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-641.248 - 336.287i) q^{2} +(33097.3 - 8174.89i) q^{3} +(298110. + 431287. i) q^{4} +2.18420e6i q^{5} +(-2.39727e7 - 5.88806e6i) q^{6} -4.59862e7i q^{7} +(-4.61264e7 - 3.76812e8i) q^{8} +(1.02860e9 - 5.41134e8i) q^{9} +O(q^{10})\) \(q+(-641.248 - 336.287i) q^{2} +(33097.3 - 8174.89i) q^{3} +(298110. + 431287. i) q^{4} +2.18420e6i q^{5} +(-2.39727e7 - 5.88806e6i) 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} +(1.33924e10 + 1.18374e10i) 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} +(-8.41566e11 + 1.09519e9i) 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} +(-4.60706e12 - 1.20944e13i) 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} +(1.28607e13 - 5.23612e13i) 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} +(5.40021e14 + 2.82306e14i) 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} +(-2.70769e14 + 1.10241e15i) 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} +(-1.11292e15 + 9.30481e15i) 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} +(-2.78446e16 + 6.91597e15i) 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} +(-2.58553e16 + 2.92516e16i) 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} +(3.91514e15 + 9.61619e14i) 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} +(-2.51352e17 - 3.62630e17i) 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} +(-5.16576e16 - 1.26879e16i) 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} +(5.44357e17 - 6.15864e17i) 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} +(-2.39211e15 - 1.83815e18i) 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} +(3.84274e18 - 5.59243e18i) 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 \(0.919549\pi\)
\(6\) −2.39727e7 5.88806e6i −0.971136 0.238526i
\(7\) 4.59862e7i 0.430721i −0.976535 0.215360i \(-0.930907\pi\)
0.976535 0.215360i \(-0.0690926\pi\)
\(8\) −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 \(-0.503324\pi\)
−0.0104417 + 0.999945i \(0.503324\pi\)
\(12\) 1.33924e10 + 1.18374e10i 0.749265 + 0.662270i
\(13\) 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 \(-0.103185\pi\)
\(18\) −8.41566e11 + 1.09519e9i −0.999999 + 0.00130137i
\(19\) 2.29703e12i 1.63308i 0.577289 + 0.816540i \(0.304111\pi\)
−0.577289 + 0.816540i \(0.695889\pi\)
\(20\) −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 \(-0.246847\pi\)
0.714076 + 0.700068i \(0.246847\pi\)
\(24\) −4.60706e12 1.20944e13i −0.355973 0.934496i
\(25\) 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 \(-0.315916\pi\)
\(30\) 1.28607e13 5.23612e13i 0.119293 0.485688i
\(31\) 8.17993e13i 0.555666i 0.960629 + 0.277833i \(0.0896161\pi\)
−0.960629 + 0.277833i \(0.910384\pi\)
\(32\) 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
\(36\) 5.40021e14 + 2.82306e14i 0.886211 + 0.463282i
\(37\) 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 \(-0.171619\pi\)
\(42\) −2.70769e14 + 1.10241e15i −0.102738 + 0.418288i
\(43\) 6.38710e14i 0.193800i −0.995294 0.0968999i \(-0.969107\pi\)
0.995294 0.0968999i \(-0.0308927\pi\)
\(44\) −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 \(-0.391865\pi\)
0.333220 + 0.942849i \(0.391865\pi\)
\(48\) −1.11292e15 + 9.30481e15i −0.118761 + 0.992923i
\(49\) 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 \(0.964511\pi\)
\(54\) −2.78446e16 + 6.91597e15i −0.970512 + 0.241053i
\(55\) 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 \(-0.648712\pi\)
−0.450383 + 0.892836i \(0.648712\pi\)
\(60\) −2.58553e16 + 2.92516e16i −0.331217 + 0.374725i
\(61\) 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
\(66\) 3.91514e15 + 9.61619e14i 0.0202806 + 0.00498122i
\(67\) 3.62115e17i 1.62606i −0.582223 0.813029i \(-0.697817\pi\)
0.582223 0.813029i \(-0.302183\pi\)
\(68\) 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 \(-0.278272\pi\)
0.641597 + 0.767042i \(0.278272\pi\)
\(72\) −2.51352e17 3.62630e17i −0.569670 0.821874i
\(73\) 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
\(78\) −5.16576e16 1.26879e16i −0.0547313 0.0134428i
\(79\) 1.01984e18i 0.957356i 0.877991 + 0.478678i \(0.158884\pi\)
−0.877991 + 0.478678i \(0.841116\pi\)
\(80\) −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 \(-0.543175\pi\)
−0.135221 + 0.990815i \(0.543175\pi\)
\(84\) 5.44357e17 6.15864e17i 0.285253 0.322724i
\(85\) 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 \(0.703467\pi\)
\(90\) −2.39211e15 1.83815e18i −0.000650844 0.500123i
\(91\) 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
\(96\) 3.84274e18 5.59243e18i 0.566324 0.824183i
\(97\) −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 \(-0.150967\pi\)
\(102\) −1.83400e18 + 7.46696e18i −0.151949 + 0.618646i
\(103\) 2.29488e19i 1.73303i 0.499150 + 0.866515i \(0.333646\pi\)
−0.499150 + 0.866515i \(0.666354\pi\)
\(104\) −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 \(-0.383654\pi\)
0.357427 + 0.933941i \(0.383654\pi\)
\(108\) 2.01811e19 + 4.92894e18i 0.971446 + 0.237262i
\(109\) −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 \(-0.249432\pi\)
\(114\) 1.35251e19 5.50660e19i 0.389532 1.58594i
\(115\) 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
\(120\) 2.64166e19 1.00627e19i 0.467364 0.178031i
\(121\) −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
\(126\) 5.03634e16 + 3.87004e19i 0.000560525 + 0.430720i
\(127\) 4.41892e19i 0.456226i 0.973635 + 0.228113i \(0.0732556\pi\)
−0.973635 + 0.228113i \(0.926744\pi\)
\(128\) 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 \(-0.613284\pi\)
−0.348426 + 0.937336i \(0.613284\pi\)
\(132\) −2.18720e18 1.93325e18i −0.0156472 0.0138304i
\(133\) 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 \(0.867419\pi\)
\(138\) −2.95737e20 7.26376e19i −1.38693 0.340651i
\(139\) 1.11823e20i 0.489655i −0.969567 0.244827i \(-0.921269\pi\)
0.969567 0.244827i \(-0.0787313\pi\)
\(140\) 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
\(144\) 3.92311e19 + 3.17062e20i 0.122797 + 0.992432i
\(145\) 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 \(0.886323\pi\)
\(150\) −3.42876e20 8.42155e19i −0.728232 0.178865i
\(151\) 6.16509e20i 1.22930i −0.788800 0.614651i \(-0.789297\pi\)
0.788800 0.614651i \(-0.210703\pi\)
\(152\) 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
\(156\) 2.88586e19 + 2.55079e19i 0.0422271 + 0.0373242i
\(157\) 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
\(162\) −8.65046e20 + 4.56527e20i −0.884395 + 0.466739i
\(163\) 1.66607e20i 0.160661i −0.996768 0.0803306i \(-0.974402\pi\)
0.996768 0.0803306i \(-0.0255976\pi\)
\(164\) 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 \(-0.562248\pi\)
−0.194314 + 0.980939i \(0.562248\pi\)
\(168\) −5.56175e20 + 2.11861e20i −0.402507 + 0.153325i
\(169\) −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 \(0.992998\pi\)
\(174\) −7.70386e20 + 3.13655e21i −0.399476 + 1.62643i
\(175\) 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 \(-0.630665\pi\)
−0.399064 + 0.916923i \(0.630665\pi\)
\(180\) −6.16612e20 + 1.17951e21i −0.231699 + 0.443215i
\(181\) 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
\(186\) 4.81640e20 1.96095e21i 0.132541 0.539627i
\(187\) 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 \(-0.746037\pi\)
−0.698250 + 0.715854i \(0.746037\pi\)
\(192\) −4.34481e21 + 2.29387e21i −0.884320 + 0.466882i
\(193\) −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 \(0.743789\pi\)
\(198\) 1.37442e20 1.78862e17i 0.0208833 2.71769e-5i
\(199\) 1.03235e22i 1.49528i 0.664107 + 0.747638i \(0.268812\pi\)
−0.664107 + 0.747638i \(0.731188\pi\)
\(200\) −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
\(204\) 3.68709e21 4.17142e21i 0.421888 0.477307i
\(205\) 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
\(210\) −2.40789e21 5.91415e20i −0.209196 0.0513817i
\(211\) 4.72896e21i 0.392720i −0.980532 0.196360i \(-0.937088\pi\)
0.980532 0.196360i \(-0.0629121\pi\)
\(212\) −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
\(216\) −1.12835e22 9.94731e21i −0.750126 0.661294i
\(217\) 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
\(222\) −7.01870e21 1.72390e21i −0.359669 0.0883403i
\(223\) 8.20124e21i 0.402701i −0.979519 0.201351i \(-0.935467\pi\)
0.979519 0.201351i \(-0.0645331\pi\)
\(224\) −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 \(-0.623855\pi\)
−0.379357 + 0.925251i \(0.623855\pi\)
\(228\) −2.71909e22 + 3.07627e22i −1.08154 + 1.22361i
\(229\) 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 \(0.836161\pi\)
\(234\) −1.81345e21 + 2.35996e18i −0.0563579 + 7.33423e-5i
\(235\) 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 \(-0.739079\pi\)
−0.682435 + 0.730946i \(0.739079\pi\)
\(240\) −2.03236e22 2.43084e21i −0.496584 0.0593951i
\(241\) 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
\(246\) −1.26740e22 + 5.16012e22i −0.244924 + 0.997186i
\(247\) 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 \(-0.540342\pi\)
−0.126399 + 0.991979i \(0.540342\pi\)
\(252\) 1.29821e22 2.48335e22i 0.199545 0.381709i
\(253\) −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 \(-0.0580633\pi\)
\(258\) −3.76077e21 + 1.53116e22i −0.0462263 + 0.188206i
\(259\) 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 \(-0.387399\pi\)
0.346413 + 0.938082i \(0.387399\pi\)
\(264\) 7.52410e20 + 1.97522e21i 0.00743391 + 0.0195154i
\(265\) −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 \(-0.119450\pi\)
\(270\) −1.51059e22 6.08183e22i −0.120556 0.485376i
\(271\) 8.36258e22i 0.644365i 0.946678 + 0.322182i \(0.104416\pi\)
−0.946678 + 0.322182i \(0.895584\pi\)
\(272\) 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
\(276\) 1.65214e23 + 1.46031e23i 1.07006 + 0.945823i
\(277\) −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 \(0.895830\pi\)
\(282\) −1.22577e23 3.01067e22i −0.647204 0.158963i
\(283\) 1.93382e23i 0.987290i −0.869664 0.493645i \(-0.835664\pi\)
0.869664 0.493645i \(-0.164336\pi\)
\(284\) 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
\(288\) 8.14670e22 2.16508e23i 0.352171 0.935936i
\(289\) 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 \(0.993877\pi\)
\(294\) −2.22567e23 5.46658e22i −0.790971 0.194275i
\(295\) 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
\(300\) 1.91548e23 + 1.69308e23i 0.561856 + 0.496621i
\(301\) −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
\(306\) 3.41126e20 + 2.62129e23i 0.000829013 + 0.637033i
\(307\) 1.26257e22i 0.0297468i 0.999889 + 0.0148734i \(0.00473452\pi\)
−0.999889 + 0.0148734i \(0.995265\pi\)
\(308\) −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 \(-0.281564\pi\)
0.633629 + 0.773637i \(0.281564\pi\)
\(312\) −9.92753e21 2.60616e22i −0.0200619 0.0526663i
\(313\) 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 \(-0.338788\pi\)
\(318\) 3.14747e22 1.28146e23i 0.0530768 0.216097i
\(319\) 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
\(324\) 7.08233e23 1.84335e21i 0.999997 0.00260273i
\(325\) 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
\(330\) −2.10037e21 + 8.55146e21i −0.00249123 + 0.0101428i
\(331\) 6.87132e23i 0.791907i 0.918271 + 0.395953i \(0.129586\pi\)
−0.918271 + 0.395953i \(0.870414\pi\)
\(332\) −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
\(336\) 4.27892e23 + 5.11790e22i 0.427672 + 0.0511527i
\(337\) −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
\(342\) −2.51568e21 1.93310e24i −0.00212523 1.63308i
\(343\) 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 \(-0.572387\pi\)
−0.225456 + 0.974253i \(0.572387\pi\)
\(348\) 1.54879e24 1.75224e24i 1.10915 1.25485i
\(349\) −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 \(0.999197\pi\)
\(354\) 1.43689e24 + 3.52922e23i 0.874766 + 0.214856i
\(355\) 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 \(-0.464453\pi\)
0.111441 + 0.993771i \(0.464453\pi\)
\(360\) 7.92057e23 5.49003e23i 0.411039 0.284905i
\(361\) −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
\(366\) −2.05751e24 5.05356e23i −0.912582 0.224144i
\(367\) 4.37679e24i 1.89160i 0.324755 + 0.945798i \(0.394718\pi\)
−0.324755 + 0.945798i \(0.605282\pi\)
\(368\) −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
\(372\) −9.68293e23 + 1.09549e24i −0.368001 + 0.416341i
\(373\) −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
\(378\) 3.18039e23 + 1.28047e24i 0.103826 + 0.418020i
\(379\) 3.49425e24i 1.11245i −0.831031 0.556227i \(-0.812249\pi\)
0.831031 0.556227i \(-0.187751\pi\)
\(380\) −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 \(-0.443184\pi\)
0.177547 + 0.984112i \(0.443184\pi\)
\(384\) 3.55750e24 9.83419e21i 0.999996 0.00276434i
\(385\) −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 \(-0.190768\pi\)
\(390\) 2.77129e22 1.12831e23i 0.00672308 0.0273724i
\(391\) 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
\(396\) −8.81945e22 4.61052e22i −0.0185070 0.00967489i
\(397\) 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 \(0.991887\pi\)
\(402\) −2.13216e24 + 8.68088e24i −0.387857 + 1.57912i
\(403\) 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
\(408\) −3.76714e24 + 1.43500e24i −0.595305 + 0.226767i
\(409\) 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
\(414\) −1.03819e25 + 1.35107e22i −1.42815 + 0.00185855i
\(415\) 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 \(-0.640839\pi\)
−0.428164 + 0.903701i \(0.640839\pi\)
\(420\) 1.34517e24 + 1.18899e24i 0.161402 + 0.142662i
\(421\) 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
\(426\) −1.18840e25 2.91890e24i −1.24616 0.306075i
\(427\) 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 \(-0.455728\pi\)
0.138637 + 0.990343i \(0.455728\pi\)
\(432\) 3.89039e24 + 1.01732e25i 0.357189 + 0.934032i
\(433\) 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
\(438\) −1.69392e25 4.16053e24i −1.36424 0.335077i
\(439\) 1.23072e25i 0.969944i −0.874530 0.484972i \(-0.838830\pi\)
0.874530 0.484972i \(-0.161170\pi\)
\(440\) −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 \(-0.747689\pi\)
−0.701954 + 0.712222i \(0.747689\pi\)
\(444\) 3.92100e24 + 3.46575e24i 0.277497 + 0.245278i
\(445\) −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 \(0.772401\pi\)
\(450\) −1.20367e25 + 1.56642e22i −0.749876 + 0.000975863i
\(451\) 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
\(456\) 2.77812e25 1.05826e25i 1.52611 0.581332i
\(457\) −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 \(-0.310809\pi\)
\(462\) 4.42212e22 1.80042e23i 0.00214551 0.00873526i
\(463\) 2.32903e25i 1.10702i 0.832842 + 0.553511i \(0.186712\pi\)
−0.832842 + 0.553511i \(0.813288\pi\)
\(464\) 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 \(-0.760525\pi\)
−0.730098 + 0.683343i \(0.760525\pi\)
\(468\) 1.16367e24 + 6.08326e23i 0.0499450 + 0.0261097i
\(469\) −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
\(474\) 6.00487e24 2.44483e25i 0.228354 0.929723i
\(475\) 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 \(-0.304757\pi\)
0.575630 + 0.817710i \(0.304757\pi\)
\(480\) 1.22150e25 + 8.39332e24i 0.412193 + 0.283232i
\(481\) 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
\(486\) −2.48986e25 + 2.21815e25i −0.746674 + 0.665190i
\(487\) 5.17030e25i 1.52052i 0.649622 + 0.760258i \(0.274927\pi\)
−0.649622 + 0.760258i \(0.725073\pi\)
\(488\) −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 \(-0.506066\pi\)
−0.0190548 + 0.999818i \(0.506066\pi\)
\(492\) 2.54800e25 2.88270e25i 0.680035 0.769364i
\(493\) −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
\(498\) 1.10417e25 + 2.71200e24i 0.262637 + 0.0645076i
\(499\) 4.98463e25i 1.16326i −0.813452 0.581632i \(-0.802414\pi\)
0.813452 0.581632i \(-0.197586\pi\)
\(500\) −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 \(-0.418971\pi\)
0.251818 + 0.967775i \(0.418971\pi\)
\(504\) −1.66760e25 + 1.15587e25i −0.353998 + 0.245369i
\(505\) 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 \(0.821357\pi\)
\(510\) −1.63093e25 4.00582e24i −0.309400 0.0759933i
\(511\) 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
\(516\) 7.56068e24 8.55384e24i 0.128348 0.145208i
\(517\) −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 \(0.925627\pi\)
\(522\) 1.43293e23 + 1.10109e26i 0.00217949 + 1.67477i
\(523\) 5.08283e25i 0.759171i −0.925157 0.379585i \(-0.876067\pi\)
0.925157 0.379585i \(-0.123933\pi\)
\(524\) −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
\(528\) 1.81759e23 1.51963e24i 0.00248012 0.0207356i
\(529\) 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
\(534\) 3.12384e25 1.27184e26i 0.382866 1.55880i
\(535\) 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
\(540\) −1.07658e25 + 4.40795e25i −0.118660 + 0.485843i
\(541\) 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
\(546\) −5.83468e23 + 2.37553e24i −0.00579011 + 0.0235739i
\(547\) 1.32405e26i 1.29129i −0.763637 0.645646i \(-0.776588\pi\)
0.763637 0.645646i \(-0.223412\pi\)
\(548\) −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
\(552\) −5.68346e25 1.49202e26i −0.508384 1.33460i
\(553\) 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 \(-0.00322927\pi\)
\(558\) −8.95855e22 6.88396e25i −0.000723124 0.555665i
\(559\) 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 \(-0.564532\pi\)
−0.201349 + 0.979520i \(0.564532\pi\)
\(564\) 6.84776e25 + 6.05268e25i 0.499341 + 0.441364i
\(565\) 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 \(-0.194003\pi\)
\(570\) 1.20275e26 + 2.95414e25i 0.793168 + 0.194814i
\(571\) 1.27254e26i 0.825330i 0.910883 + 0.412665i \(0.135402\pi\)
−0.910883 + 0.412665i \(0.864598\pi\)
\(572\) −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
\(576\) −1.25050e26 + 1.11439e26i −0.746566 + 0.665311i
\(577\) −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
\(582\) 2.72817e26 + 6.70080e25i 1.47606 + 0.362542i
\(583\) 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 \(-0.858934\pi\)
−0.903396 + 0.428806i \(0.858934\pi\)
\(588\) 1.24337e26 + 1.09901e26i 0.610261 + 0.539406i
\(589\) −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 \(0.886961\pi\)
\(594\) 4.54750e24 1.12949e24i 0.0202675 0.00503399i
\(595\) 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 \(-0.424204\pi\)
0.235877 + 0.971783i \(0.424204\pi\)
\(600\) −6.58936e25 1.72983e26i −0.266936 0.700756i
\(601\) −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
\(606\) −5.91128e25 + 2.40672e26i −0.217867 + 0.887026i
\(607\) 3.90853e25i 0.141815i 0.997483 + 0.0709073i \(0.0225894\pi\)
−0.997483 + 0.0709073i \(0.977411\pi\)
\(608\) 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
\(612\) 8.79319e25 1.68205e26i 0.295126 0.564546i
\(613\) 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 \(-0.0956764\pi\)
\(618\) 1.35124e26 5.50145e26i 0.413373 1.68301i
\(619\) 1.95485e26i 0.588914i 0.955665 + 0.294457i \(0.0951387\pi\)
−0.955665 + 0.294457i \(0.904861\pi\)
\(620\) −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
\(624\) −2.39818e24 + 2.00505e25i −0.00669311 + 0.0559591i
\(625\) 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
\(630\) −8.45295e25 + 1.10004e23i −0.215413 + 0.000280332i
\(631\) 1.41529e26i 0.355278i 0.984096 + 0.177639i \(0.0568459\pi\)
−0.984096 + 0.177639i \(0.943154\pi\)
\(632\) 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
\(636\) −6.32771e25 + 7.15891e25i −0.147368 + 0.166726i
\(637\) 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 \(0.934225\pi\)
\(642\) −3.25897e26 8.00453e25i −0.694221 0.170511i
\(643\) 5.08915e26i 1.06817i 0.845430 + 0.534085i \(0.179344\pi\)
−0.845430 + 0.534085i \(0.820656\pi\)
\(644\) 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 \(-0.530944\pi\)
−0.0970602 + 0.995279i \(0.530944\pi\)
\(648\) −4.54773e26 2.36988e26i −0.886813 0.462129i
\(649\) 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 \(0.880066\pi\)
\(654\) 7.18974e26 + 1.76591e26i 1.28447 + 0.315486i
\(655\) 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 \(-0.680446\pi\)
−0.537009 + 0.843577i \(0.680446\pi\)
\(660\) 4.22260e24 4.77728e24i 0.00691692 0.00782552i
\(661\) 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
\(666\) −2.46393e26 + 3.20648e23i −0.370359 + 0.000481973i
\(667\) 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
\(672\) −2.57174e26 1.76713e26i −0.354993 0.243927i
\(673\) 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 \(0.689003\pi\)
\(678\) −2.65434e26 + 1.08069e27i −0.336724 + 1.37094i
\(679\) 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 \(-0.704253\pi\)
−0.598543 + 0.801091i \(0.704253\pi\)
\(684\) −6.48464e26 + 1.24044e27i −0.756577 + 1.44725i
\(685\) −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
\(690\) 1.58655e26 6.45949e26i 0.170368 0.693637i
\(691\) 7.56562e25i 0.0801315i 0.999197 + 0.0400658i \(0.0127567\pi\)
−0.999197 + 0.0400658i \(0.987243\pi\)
\(692\) −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
\(696\) −1.58241e27 + 6.02781e26i −1.56507 + 0.596173i
\(697\) −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 \(-0.252585\pi\)
\(702\) −6.00011e25 + 1.49029e25i −0.0546961 + 0.0135852i
\(703\) 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
\(708\) −8.02718e26 7.09517e26i −0.674912 0.596550i
\(709\) 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
\(714\) 3.43377e26 + 8.43386e25i 0.266464 + 0.0654476i
\(715\) 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 \(-0.484036\pi\)
0.0501322 + 0.998743i \(0.484036\pi\)
\(720\) −6.92527e26 + 8.56886e25i −0.496339 + 0.0614135i
\(721\) 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
\(726\) 1.46551e27 + 3.59952e26i 0.970713 + 0.238422i
\(727\) 1.53336e27i 1.00246i −0.865314 0.501230i \(-0.832881\pi\)
0.865314 0.501230i \(-0.167119\pi\)
\(728\) −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
\(732\) 1.14943e27 + 1.01597e27i 0.704088 + 0.622339i
\(733\) −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
\(738\) 2.35739e24 + 1.81147e27i 0.00133627 + 1.02682i
\(739\) 4.80014e26i 0.268616i 0.990940 + 0.134308i \(0.0428812\pi\)
−0.990940 + 0.134308i \(0.957119\pi\)
\(740\) −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 \(-0.595976\pi\)
−0.296970 + 0.954887i \(0.595976\pi\)
\(744\) 9.89314e26 3.76854e26i 0.519267 0.197802i
\(745\) −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
\(750\) 4.29242e26 1.74762e27i 0.208747 0.849894i
\(751\) 9.35237e26i 0.449099i −0.974463 0.224550i \(-0.927909\pi\)
0.974463 0.224550i \(-0.0720910\pi\)
\(752\) −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
\(756\) 2.26663e26 9.28050e26i 0.102194 0.418422i
\(757\) 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 \(0.943728\pi\)
\(762\) 2.60189e26 1.05933e27i 0.108822 0.443058i
\(763\) </