Properties

Label 12.16.b.a.11.1
Level 12
Weight 16
Character 12.11
Analytic conductor 17.123
Analytic rank 0
Dimension 28
CM No

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.1
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-172.746 - 54.1000i) q^{2} +(3105.31 + 2169.32i) q^{3} +(26914.4 + 18691.1i) q^{4} -192307. i q^{5} +(-419070. - 542739. i) q^{6} -366926. i q^{7} +(-3.63816e6 - 4.68489e6i) q^{8} +(4.93700e6 + 1.34728e7i) q^{9} +O(q^{10})\) \(q+(-172.746 - 54.1000i) q^{2} +(3105.31 + 2169.32i) q^{3} +(26914.4 + 18691.1i) q^{4} -192307. i q^{5} +(-419070. - 542739. i) q^{6} -366926. i q^{7} +(-3.63816e6 - 4.68489e6i) q^{8} +(4.93700e6 + 1.34728e7i) q^{9} +(-1.04038e7 + 3.32203e7i) q^{10} +5.82623e7 q^{11} +(4.30304e7 + 1.16428e8i) q^{12} -2.65726e8 q^{13} +(-1.98507e7 + 6.33850e7i) q^{14} +(4.17176e8 - 5.97173e8i) q^{15} +(3.75025e8 + 1.00612e9i) q^{16} -1.79306e9i q^{17} +(-1.23967e8 - 2.59447e9i) q^{18} -4.75795e9i q^{19} +(3.59444e9 - 5.17582e9i) q^{20} +(7.95981e8 - 1.13942e9i) q^{21} +(-1.00646e10 - 3.15199e9i) q^{22} +1.92879e10 q^{23} +(-1.13459e9 - 2.24404e10i) q^{24} -6.46444e9 q^{25} +(4.59032e10 + 1.43758e10i) q^{26} +(-1.38960e10 + 5.25473e10i) q^{27} +(6.85827e9 - 9.87559e9i) q^{28} -1.16647e11i q^{29} +(-1.04373e11 + 8.05901e10i) q^{30} -1.69225e11i q^{31} +(-1.03529e10 - 1.94092e11i) q^{32} +(1.80923e11 + 1.26390e11i) q^{33} +(-9.70044e10 + 3.09743e11i) q^{34} -7.05625e10 q^{35} +(-1.18946e11 + 4.54891e11i) q^{36} +7.59020e11 q^{37} +(-2.57405e11 + 8.21916e11i) q^{38} +(-8.25163e11 - 5.76446e11i) q^{39} +(-9.00937e11 + 6.99644e11i) q^{40} -1.15439e12i q^{41} +(-1.99145e11 + 1.53768e11i) q^{42} +1.91686e12i q^{43} +(1.56809e12 + 1.08899e12i) q^{44} +(2.59092e12 - 9.49421e11i) q^{45} +(-3.33191e12 - 1.04348e12i) q^{46} -1.35211e12 q^{47} +(-1.01803e12 + 3.93787e12i) q^{48} +4.61293e12 q^{49} +(1.11671e12 + 3.49727e11i) q^{50} +(3.88971e12 - 5.56800e12i) q^{51} +(-7.15186e12 - 4.96673e12i) q^{52} -7.61817e12i q^{53} +(5.24328e12 - 8.32556e12i) q^{54} -1.12043e13i q^{55} +(-1.71901e12 + 1.33494e12i) q^{56} +(1.03215e13 - 1.47749e13i) q^{57} +(-6.31060e12 + 2.01503e13i) q^{58} +1.15688e12 q^{59} +(2.23899e13 - 8.27506e12i) q^{60} -2.88756e13 q^{61} +(-9.15509e12 + 2.92330e13i) q^{62} +(4.94353e12 - 1.81152e12i) q^{63} +(-8.71197e12 + 3.40887e13i) q^{64} +5.11011e13i q^{65} +(-2.44160e13 - 3.16212e13i) q^{66} +7.60288e13i q^{67} +(3.35143e13 - 4.82590e13i) q^{68} +(5.98950e13 + 4.18417e13i) q^{69} +(1.21894e13 + 3.81744e12i) q^{70} -6.50083e13 q^{71} +(4.51571e13 - 7.21456e13i) q^{72} -1.24297e14 q^{73} +(-1.31118e14 - 4.10630e13i) q^{74} +(-2.00741e13 - 1.40234e13i) q^{75} +(8.89314e13 - 1.28057e14i) q^{76} -2.13780e13i q^{77} +(1.11358e14 + 1.44220e14i) q^{78} +5.22032e13i q^{79} +(1.93484e14 - 7.21199e13i) q^{80} +(-1.57143e14 + 1.33031e14i) q^{81} +(-6.24524e13 + 1.99416e14i) q^{82} +3.24461e14 q^{83} +(4.27204e13 - 1.57890e13i) q^{84} -3.44817e14 q^{85} +(1.03702e14 - 3.31130e14i) q^{86} +(2.53044e14 - 3.62225e14i) q^{87} +(-2.11968e14 - 2.72952e14i) q^{88} +1.32252e14i q^{89} +(-4.98935e14 + 2.38397e13i) q^{90} +9.75020e13i q^{91} +(5.19122e14 + 3.60513e14i) q^{92} +(3.67104e14 - 5.25497e14i) q^{93} +(2.33571e14 + 7.31490e13i) q^{94} -9.14987e14 q^{95} +(3.88899e14 - 6.25175e14i) q^{96} +8.29770e14 q^{97} +(-7.96865e14 - 2.49560e14i) q^{98} +(2.87641e14 + 7.84958e14i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} + O(q^{10}) \) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} - 43831600q^{10} - 226414248q^{12} + 124527272q^{13} - 1459325408q^{16} - 4234777584q^{18} - 7261350648q^{21} - 2533670160q^{22} - 18487781856q^{24} - 146804950740q^{25} + 5481093840q^{28} + 8237058960q^{30} + 204574669728q^{33} + 450165745472q^{34} + 232631927160q^{36} + 386069193224q^{37} + 1945471012160q^{40} + 1938106219632q^{42} - 5007113912640q^{45} + 2270790222432q^{46} + 5846474725152q^{48} - 18480860963084q^{49} - 6113229405424q^{52} + 1626598700568q^{54} + 8085872464056q^{57} - 19395437098192q^{58} - 10924219377600q^{60} - 16392792556696q^{61} + 21633892829056q^{64} + 4928819126448q^{66} + 137029869973056q^{69} + 91772543171040q^{70} + 66924493142592q^{72} + 158451626683736q^{73} - 205265768291280q^{76} + 58364283489648q^{78} + 116126816635836q^{81} - 750029796726880q^{82} - 92605433207856q^{84} - 30099357052160q^{85} - 619691835246912q^{88} - 471443548913520q^{90} - 777661615138584q^{93} + 1301107064491200q^{94} + 525428335287168q^{96} - 824166397720648q^{97} + O(q^{100}) \)

Character Values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −172.746 54.1000i −0.954296 0.298863i
\(3\) 3105.31 + 2169.32i 0.819777 + 0.572683i
\(4\) 26914.4 + 18691.1i 0.821361 + 0.570408i
\(5\) 192307.i 1.10083i −0.834891 0.550415i \(-0.814470\pi\)
0.834891 0.550415i \(-0.185530\pi\)
\(6\) −419070. 542739.i −0.611156 0.791510i
\(7\) 366926.i 0.168401i −0.996449 0.0842003i \(-0.973166\pi\)
0.996449 0.0842003i \(-0.0268335\pi\)
\(8\) −3.63816e6 4.68489e6i −0.613348 0.789813i
\(9\) 4.93700e6 + 1.34728e7i 0.344068 + 0.938945i
\(10\) −1.04038e7 + 3.32203e7i −0.328998 + 1.05052i
\(11\) 5.82623e7 0.901452 0.450726 0.892662i \(-0.351165\pi\)
0.450726 + 0.892662i \(0.351165\pi\)
\(12\) 4.30304e7 + 1.16428e8i 0.346670 + 0.937987i
\(13\) −2.65726e8 −1.17452 −0.587259 0.809399i \(-0.699793\pi\)
−0.587259 + 0.809399i \(0.699793\pi\)
\(14\) −1.98507e7 + 6.33850e7i −0.0503287 + 0.160704i
\(15\) 4.17176e8 5.97173e8i 0.630427 0.902435i
\(16\) 3.75025e8 + 1.00612e9i 0.349269 + 0.937022i
\(17\) 1.79306e9i 1.05981i −0.848058 0.529904i \(-0.822228\pi\)
0.848058 0.529904i \(-0.177772\pi\)
\(18\) −1.23967e8 2.59447e9i −0.0477268 0.998860i
\(19\) 4.75795e9i 1.22115i −0.791960 0.610573i \(-0.790939\pi\)
0.791960 0.610573i \(-0.209061\pi\)
\(20\) 3.59444e9 5.17582e9i 0.627922 0.904179i
\(21\) 7.95981e8 1.13942e9i 0.0964401 0.138051i
\(22\) −1.00646e10 3.15199e9i −0.860252 0.269411i
\(23\) 1.92879e10 1.18121 0.590604 0.806961i \(-0.298889\pi\)
0.590604 + 0.806961i \(0.298889\pi\)
\(24\) −1.13459e9 2.24404e10i −0.0504958 0.998724i
\(25\) −6.46444e9 −0.211827
\(26\) 4.59032e10 + 1.43758e10i 1.12084 + 0.351020i
\(27\) −1.38960e10 + 5.25473e10i −0.255658 + 0.966767i
\(28\) 6.85827e9 9.87559e9i 0.0960570 0.138318i
\(29\) 1.16647e11i 1.25571i −0.778332 0.627853i \(-0.783934\pi\)
0.778332 0.627853i \(-0.216066\pi\)
\(30\) −1.04373e11 + 8.05901e10i −0.871318 + 0.672779i
\(31\) 1.69225e11i 1.10472i −0.833606 0.552360i \(-0.813727\pi\)
0.833606 0.552360i \(-0.186273\pi\)
\(32\) −1.03529e10 1.94092e11i −0.0532644 0.998580i
\(33\) 1.80923e11 + 1.26390e11i 0.738989 + 0.516246i
\(34\) −9.70044e10 + 3.09743e11i −0.316738 + 1.01137i
\(35\) −7.05625e10 −0.185380
\(36\) −1.18946e11 + 4.54891e11i −0.252977 + 0.967472i
\(37\) 7.59020e11 1.31444 0.657219 0.753699i \(-0.271733\pi\)
0.657219 + 0.753699i \(0.271733\pi\)
\(38\) −2.57405e11 + 8.21916e11i −0.364956 + 1.16533i
\(39\) −8.25163e11 5.76446e11i −0.962842 0.672626i
\(40\) −9.00937e11 + 6.99644e11i −0.869450 + 0.675192i
\(41\) 1.15439e12i 0.925705i −0.886435 0.462852i \(-0.846826\pi\)
0.886435 0.462852i \(-0.153174\pi\)
\(42\) −1.99145e11 + 1.53768e11i −0.133291 + 0.102919i
\(43\) 1.91686e12i 1.07542i 0.843130 + 0.537709i \(0.180710\pi\)
−0.843130 + 0.537709i \(0.819290\pi\)
\(44\) 1.56809e12 + 1.08899e12i 0.740418 + 0.514196i
\(45\) 2.59092e12 9.49421e11i 1.03362 0.378761i
\(46\) −3.33191e12 1.04348e12i −1.12722 0.353020i
\(47\) −1.35211e12 −0.389293 −0.194647 0.980873i \(-0.562356\pi\)
−0.194647 + 0.980873i \(0.562356\pi\)
\(48\) −1.01803e12 + 3.93787e12i −0.250294 + 0.968170i
\(49\) 4.61293e12 0.971641
\(50\) 1.11671e12 + 3.49727e11i 0.202145 + 0.0633073i
\(51\) 3.88971e12 5.56800e12i 0.606934 0.868806i
\(52\) −7.15186e12 4.96673e12i −0.964703 0.669954i
\(53\) 7.61817e12i 0.890803i −0.895331 0.445402i \(-0.853061\pi\)
0.895331 0.445402i \(-0.146939\pi\)
\(54\) 5.24328e12 8.32556e12i 0.532905 0.846175i
\(55\) 1.12043e13i 0.992345i
\(56\) −1.71901e12 + 1.33494e12i −0.133005 + 0.103288i
\(57\) 1.03215e13 1.47749e13i 0.699329 1.00107i
\(58\) −6.31060e12 + 2.01503e13i −0.375285 + 1.19832i
\(59\) 1.15688e12 0.0605200 0.0302600 0.999542i \(-0.490366\pi\)
0.0302600 + 0.999542i \(0.490366\pi\)
\(60\) 2.23899e13 8.27506e12i 1.03256 0.381625i
\(61\) −2.88756e13 −1.17641 −0.588204 0.808713i \(-0.700165\pi\)
−0.588204 + 0.808713i \(0.700165\pi\)
\(62\) −9.15509e12 + 2.92330e13i −0.330160 + 1.05423i
\(63\) 4.94353e12 1.81152e12i 0.158119 0.0579413i
\(64\) −8.71197e12 + 3.40887e13i −0.247609 + 0.968860i
\(65\) 5.11011e13i 1.29294i
\(66\) −2.44160e13 3.16212e13i −0.550928 0.713509i
\(67\) 7.60288e13i 1.53256i 0.642508 + 0.766279i \(0.277894\pi\)
−0.642508 + 0.766279i \(0.722106\pi\)
\(68\) 3.35143e13 4.82590e13i 0.604523 0.870485i
\(69\) 5.98950e13 + 4.18417e13i 0.968328 + 0.676458i
\(70\) 1.21894e13 + 3.81744e12i 0.176908 + 0.0554034i
\(71\) −6.50083e13 −0.848264 −0.424132 0.905600i \(-0.639421\pi\)
−0.424132 + 0.905600i \(0.639421\pi\)
\(72\) 4.51571e13 7.21456e13i 0.530557 0.847649i
\(73\) −1.24297e14 −1.31686 −0.658428 0.752644i \(-0.728778\pi\)
−0.658428 + 0.752644i \(0.728778\pi\)
\(74\) −1.31118e14 4.10630e13i −1.25436 0.392838i
\(75\) −2.00741e13 1.40234e13i −0.173651 0.121310i
\(76\) 8.89314e13 1.28057e14i 0.696551 1.00300i
\(77\) 2.13780e13i 0.151805i
\(78\) 1.11358e14 + 1.44220e14i 0.717813 + 0.929643i
\(79\) 5.22032e13i 0.305840i 0.988239 + 0.152920i \(0.0488677\pi\)
−0.988239 + 0.152920i \(0.951132\pi\)
\(80\) 1.93484e14 7.21199e13i 1.03150 0.384486i
\(81\) −1.57143e14 + 1.33031e14i −0.763234 + 0.646122i
\(82\) −6.24524e13 + 1.99416e14i −0.276659 + 0.883396i
\(83\) 3.24461e14 1.31243 0.656217 0.754572i \(-0.272156\pi\)
0.656217 + 0.754572i \(0.272156\pi\)
\(84\) 4.27204e13 1.57890e13i 0.157958 0.0583794i
\(85\) −3.44817e14 −1.16667
\(86\) 1.03702e14 3.31130e14i 0.321403 1.02627i
\(87\) 2.53044e14 3.62225e14i 0.719122 1.02940i
\(88\) −2.11968e14 2.72952e14i −0.552904 0.711978i
\(89\) 1.32252e14i 0.316939i 0.987364 + 0.158470i \(0.0506560\pi\)
−0.987364 + 0.158470i \(0.949344\pi\)
\(90\) −4.98935e14 + 2.38397e13i −1.09958 + 0.0525391i
\(91\) 9.75020e13i 0.197789i
\(92\) 5.19122e14 + 3.60513e14i 0.970199 + 0.673771i
\(93\) 3.67104e14 5.25497e14i 0.632654 0.905624i
\(94\) 2.33571e14 + 7.31490e13i 0.371501 + 0.116345i
\(95\) −9.14987e14 −1.34427
\(96\) 3.88899e14 6.25175e14i 0.528205 0.849117i
\(97\) 8.29770e14 1.04272 0.521362 0.853335i \(-0.325424\pi\)
0.521362 + 0.853335i \(0.325424\pi\)
\(98\) −7.96865e14 2.49560e14i −0.927233 0.290388i
\(99\) 2.87641e14 + 7.84958e14i 0.310161 + 0.846413i
\(100\) −1.73986e14 1.20828e14i −0.173986 0.120828i
\(101\) 3.17804e14i 0.294951i −0.989066 0.147475i \(-0.952885\pi\)
0.989066 0.147475i \(-0.0471147\pi\)
\(102\) −9.73162e14 + 7.51416e14i −0.838849 + 0.647708i
\(103\) 7.00724e14i 0.561394i −0.959796 0.280697i \(-0.909434\pi\)
0.959796 0.280697i \(-0.0905656\pi\)
\(104\) 9.66755e14 + 1.24490e15i 0.720388 + 0.927649i
\(105\) −2.19119e14 1.53073e14i −0.151971 0.106164i
\(106\) −4.12144e14 + 1.31601e15i −0.266228 + 0.850090i
\(107\) −2.55131e15 −1.53598 −0.767989 0.640463i \(-0.778743\pi\)
−0.767989 + 0.640463i \(0.778743\pi\)
\(108\) −1.35617e15 + 1.15455e15i −0.761440 + 0.648236i
\(109\) 3.30599e15 1.73222 0.866110 0.499854i \(-0.166613\pi\)
0.866110 + 0.499854i \(0.166613\pi\)
\(110\) −6.06151e14 + 1.93549e15i −0.296576 + 0.946991i
\(111\) 2.35699e15 + 1.64656e15i 1.07755 + 0.752757i
\(112\) 3.69172e14 1.37606e14i 0.157795 0.0588171i
\(113\) 1.65938e15i 0.663524i 0.943363 + 0.331762i \(0.107643\pi\)
−0.943363 + 0.331762i \(0.892357\pi\)
\(114\) −2.58232e15 + 1.99391e15i −0.966549 + 0.746310i
\(115\) 3.70920e15i 1.30031i
\(116\) 2.18026e15 3.13948e15i 0.716265 1.03139i
\(117\) −1.31189e15 3.58009e15i −0.404114 1.10281i
\(118\) −1.99847e14 6.25874e13i −0.0577540 0.0180872i
\(119\) −6.57919e14 −0.178472
\(120\) −4.31544e15 + 2.18190e14i −1.09943 + 0.0555873i
\(121\) −7.82751e14 −0.187384
\(122\) 4.98815e15 + 1.56217e15i 1.12264 + 0.351585i
\(123\) 2.50424e15 3.58473e15i 0.530135 0.758871i
\(124\) 3.16301e15 4.55459e15i 0.630141 0.907374i
\(125\) 4.62559e15i 0.867645i
\(126\) −9.51979e14 + 4.54868e13i −0.168209 + 0.00803722i
\(127\) 6.17912e15i 1.02896i 0.857502 + 0.514480i \(0.172015\pi\)
−0.857502 + 0.514480i \(0.827985\pi\)
\(128\) 3.34916e15 5.41737e15i 0.525849 0.850578i
\(129\) −4.15829e15 + 5.95245e15i −0.615874 + 0.881603i
\(130\) 2.76457e15 8.82750e15i 0.386414 1.23385i
\(131\) −3.27392e15 −0.432049 −0.216024 0.976388i \(-0.569309\pi\)
−0.216024 + 0.976388i \(0.569309\pi\)
\(132\) 2.50705e15 + 6.78335e15i 0.312506 + 0.845550i
\(133\) −1.74581e15 −0.205642
\(134\) 4.11316e15 1.31337e16i 0.458026 1.46251i
\(135\) 1.01052e16 + 2.67229e15i 1.06425 + 0.281437i
\(136\) −8.40027e15 + 6.52342e15i −0.837050 + 0.650031i
\(137\) 1.42408e16i 1.34316i 0.740931 + 0.671581i \(0.234385\pi\)
−0.740931 + 0.671581i \(0.765615\pi\)
\(138\) −8.08298e15 1.04683e16i −0.721902 0.934939i
\(139\) 3.07112e15i 0.259828i 0.991525 + 0.129914i \(0.0414700\pi\)
−0.991525 + 0.129914i \(0.958530\pi\)
\(140\) −1.89915e15 1.31889e15i −0.152264 0.105742i
\(141\) −4.19871e15 2.93315e15i −0.319134 0.222942i
\(142\) 1.12299e16 + 3.51695e15i 0.809495 + 0.253515i
\(143\) −1.54818e16 −1.05877
\(144\) −1.17038e16 + 1.00199e16i −0.759640 + 0.650344i
\(145\) −2.24320e16 −1.38232
\(146\) 2.14718e16 + 6.72446e15i 1.25667 + 0.393560i
\(147\) 1.43246e16 + 1.00069e16i 0.796529 + 0.556442i
\(148\) 2.04285e16 + 1.41869e16i 1.07963 + 0.749767i
\(149\) 1.69736e16i 0.852857i 0.904521 + 0.426428i \(0.140228\pi\)
−0.904521 + 0.426428i \(0.859772\pi\)
\(150\) 2.70905e15 + 3.50850e15i 0.129459 + 0.167663i
\(151\) 1.41671e16i 0.644099i −0.946723 0.322049i \(-0.895628\pi\)
0.946723 0.322049i \(-0.104372\pi\)
\(152\) −2.22904e16 + 1.73102e16i −0.964477 + 0.748987i
\(153\) 2.41575e16 8.85233e15i 0.995101 0.364646i
\(154\) −1.15655e15 + 3.69296e15i −0.0453689 + 0.144867i
\(155\) −3.25432e16 −1.21611
\(156\) −1.14343e16 3.09379e16i −0.407170 1.10168i
\(157\) 1.51155e15 0.0513070 0.0256535 0.999671i \(-0.491833\pi\)
0.0256535 + 0.999671i \(0.491833\pi\)
\(158\) 2.82420e15 9.01790e15i 0.0914043 0.291862i
\(159\) 1.65263e16 2.36568e16i 0.510148 0.730260i
\(160\) −3.73253e16 + 1.99094e15i −1.09927 + 0.0586351i
\(161\) 7.07724e15i 0.198916i
\(162\) 3.43428e16 1.44791e16i 0.921453 0.388489i
\(163\) 3.95773e16i 1.01400i 0.861945 + 0.507001i \(0.169246\pi\)
−0.861945 + 0.507001i \(0.830754\pi\)
\(164\) 2.15768e16 3.10696e16i 0.528029 0.760338i
\(165\) 2.43056e16 3.47927e16i 0.568299 0.813502i
\(166\) −5.60494e16 1.75534e16i −1.25245 0.392238i
\(167\) −1.27693e16 −0.272767 −0.136384 0.990656i \(-0.543548\pi\)
−0.136384 + 0.990656i \(0.543548\pi\)
\(168\) −8.23396e15 + 4.16312e14i −0.168186 + 0.00850352i
\(169\) 1.94246e16 0.379491
\(170\) 5.95658e16 + 1.86546e16i 1.11335 + 0.348674i
\(171\) 6.41030e16 2.34900e16i 1.14659 0.420157i
\(172\) −3.58283e16 + 5.15911e16i −0.613427 + 0.883307i
\(173\) 1.88835e16i 0.309555i −0.987949 0.154777i \(-0.950534\pi\)
0.987949 0.154777i \(-0.0494660\pi\)
\(174\) −6.33088e16 + 4.88832e16i −0.993905 + 0.767432i
\(175\) 2.37197e15i 0.0356717i
\(176\) 2.18498e16 + 5.86189e16i 0.314849 + 0.844681i
\(177\) 3.59248e15 + 2.50965e15i 0.0496129 + 0.0346588i
\(178\) 7.15482e15 2.28460e16i 0.0947216 0.302454i
\(179\) 5.46837e15 0.0694160 0.0347080 0.999397i \(-0.488950\pi\)
0.0347080 + 0.999397i \(0.488950\pi\)
\(180\) 8.74787e16 + 2.28742e16i 1.06502 + 0.278485i
\(181\) 1.53462e16 0.179230 0.0896149 0.995976i \(-0.471436\pi\)
0.0896149 + 0.995976i \(0.471436\pi\)
\(182\) 5.27486e15 1.68431e16i 0.0591120 0.188750i
\(183\) −8.96678e16 6.26405e16i −0.964392 0.673709i
\(184\) −7.01725e16 9.03617e16i −0.724492 0.932934i
\(185\) 1.45965e17i 1.44697i
\(186\) −9.18451e16 + 7.09171e16i −0.874397 + 0.675156i
\(187\) 1.04468e17i 0.955366i
\(188\) −3.63911e16 2.52724e16i −0.319750 0.222056i
\(189\) 1.92810e16 + 5.09879e15i 0.162804 + 0.0430530i
\(190\) 1.58060e17 + 4.95008e16i 1.28283 + 0.401754i
\(191\) 5.89196e16 0.459737 0.229868 0.973222i \(-0.426170\pi\)
0.229868 + 0.973222i \(0.426170\pi\)
\(192\) −1.01003e17 + 8.69571e16i −0.757834 + 0.652448i
\(193\) 1.35662e17 0.978988 0.489494 0.872007i \(-0.337181\pi\)
0.489494 + 0.872007i \(0.337181\pi\)
\(194\) −1.43339e17 4.48906e16i −0.995068 0.311632i
\(195\) −1.10855e17 + 1.58685e17i −0.740447 + 1.05993i
\(196\) 1.24154e17 + 8.62208e16i 0.798069 + 0.554232i
\(197\) 2.97594e17i 1.84131i 0.390377 + 0.920655i \(0.372345\pi\)
−0.390377 + 0.920655i \(0.627655\pi\)
\(198\) −7.22261e15 1.51160e17i −0.0430234 0.900425i
\(199\) 7.47663e16i 0.428852i 0.976740 + 0.214426i \(0.0687882\pi\)
−0.976740 + 0.214426i \(0.931212\pi\)
\(200\) 2.35187e16 + 3.02852e16i 0.129923 + 0.167304i
\(201\) −1.64931e17 + 2.36093e17i −0.877670 + 1.25636i
\(202\) −1.71932e16 + 5.48994e16i −0.0881499 + 0.281470i
\(203\) −4.28008e16 −0.211462
\(204\) 2.08761e17 7.71560e16i 0.994086 0.367404i
\(205\) −2.21997e17 −1.01904
\(206\) −3.79092e16 + 1.21047e17i −0.167780 + 0.535736i
\(207\) 9.52245e16 + 2.59863e17i 0.406416 + 1.10909i
\(208\) −9.96540e16 2.67353e17i −0.410223 1.10055i
\(209\) 2.77209e17i 1.10080i
\(210\) 2.95706e16 + 3.82970e16i 0.113296 + 0.146730i
\(211\) 9.84802e16i 0.364108i 0.983288 + 0.182054i \(0.0582746\pi\)
−0.983288 + 0.182054i \(0.941725\pi\)
\(212\) 1.42392e17 2.05038e17i 0.508122 0.731672i
\(213\) −2.01871e17 1.41024e17i −0.695388 0.485787i
\(214\) 4.40729e17 + 1.38026e17i 1.46578 + 0.459048i
\(215\) 3.68626e17 1.18385
\(216\) 2.96734e17 1.26074e17i 0.920373 0.391042i
\(217\) −6.20931e16 −0.186035
\(218\) −5.71097e17 1.78854e17i −1.65305 0.517697i
\(219\) −3.85980e17 2.69639e17i −1.07953 0.754141i
\(220\) 2.09420e17 3.01555e17i 0.566042 0.815074i
\(221\) 4.76462e17i 1.24476i
\(222\) −3.18082e17 4.11950e17i −0.803327 1.04039i
\(223\) 5.94036e17i 1.45053i −0.688470 0.725265i \(-0.741717\pi\)
0.688470 0.725265i \(-0.258283\pi\)
\(224\) −7.12175e16 + 3.79875e15i −0.168161 + 0.00896976i
\(225\) −3.19150e16 8.70943e16i −0.0728829 0.198894i
\(226\) 8.97724e16 2.86651e17i 0.198303 0.633199i
\(227\) 5.63635e17 1.20449 0.602246 0.798310i \(-0.294273\pi\)
0.602246 + 0.798310i \(0.294273\pi\)
\(228\) 5.53957e17 2.04736e17i 1.14542 0.423335i
\(229\) 8.89600e16 0.178004 0.0890018 0.996031i \(-0.471632\pi\)
0.0890018 + 0.996031i \(0.471632\pi\)
\(230\) −2.00668e17 + 6.40750e17i −0.388615 + 1.24088i
\(231\) 4.63757e16 6.63852e16i 0.0869361 0.124446i
\(232\) −5.46477e17 + 4.24380e17i −0.991773 + 0.770185i
\(233\) 4.00191e17i 0.703231i −0.936145 0.351615i \(-0.885633\pi\)
0.936145 0.351615i \(-0.114367\pi\)
\(234\) 3.29413e16 + 6.89419e17i 0.0560560 + 1.17318i
\(235\) 2.60020e17i 0.428546i
\(236\) 3.11368e16 + 2.16234e16i 0.0497088 + 0.0345211i
\(237\) −1.13246e17 + 1.62107e17i −0.175149 + 0.250720i
\(238\) 1.13653e17 + 3.55935e16i 0.170315 + 0.0533388i
\(239\) 1.20504e16 0.0174991 0.00874955 0.999962i \(-0.497215\pi\)
0.00874955 + 0.999962i \(0.497215\pi\)
\(240\) 7.57279e17 + 1.95774e17i 1.06579 + 0.275531i
\(241\) 1.82776e17 0.249339 0.124670 0.992198i \(-0.460213\pi\)
0.124670 + 0.992198i \(0.460213\pi\)
\(242\) 1.35217e17 + 4.23469e16i 0.178820 + 0.0560023i
\(243\) −7.76565e17 + 7.22082e16i −0.995705 + 0.0925848i
\(244\) −7.77170e17 5.39718e17i −0.966256 0.671032i
\(245\) 8.87099e17i 1.06961i
\(246\) −6.26531e17 + 4.83769e17i −0.732705 + 0.565750i
\(247\) 1.26431e18i 1.43426i
\(248\) −7.92801e17 + 6.15668e17i −0.872522 + 0.677577i
\(249\) 1.00755e18 + 7.03861e17i 1.07590 + 0.751608i
\(250\) −2.50245e17 + 7.99052e17i −0.259307 + 0.827990i
\(251\) −6.57440e17 −0.661155 −0.330577 0.943779i \(-0.607243\pi\)
−0.330577 + 0.943779i \(0.607243\pi\)
\(252\) 1.66911e17 + 4.36444e16i 0.162923 + 0.0426015i
\(253\) 1.12376e18 1.06480
\(254\) 3.34291e17 1.06742e18i 0.307519 0.981933i
\(255\) −1.07077e18 7.48020e17i −0.956408 0.668131i
\(256\) −8.71634e17 + 7.54640e17i −0.756022 + 0.654546i
\(257\) 2.60184e16i 0.0219171i −0.999940 0.0109585i \(-0.996512\pi\)
0.999940 0.0109585i \(-0.00348828\pi\)
\(258\) 1.04036e18 8.03299e17i 0.851205 0.657248i
\(259\) 2.78504e17i 0.221352i
\(260\) −9.55137e17 + 1.37535e18i −0.737506 + 1.06197i
\(261\) 1.57156e18 5.75886e17i 1.17904 0.432049i
\(262\) 5.65556e17 + 1.77119e17i 0.412302 + 0.129124i
\(263\) 1.97106e18 1.39647 0.698235 0.715869i \(-0.253969\pi\)
0.698235 + 0.715869i \(0.253969\pi\)
\(264\) −6.61040e16 1.30743e18i −0.0455196 0.900302i
\(265\) −1.46503e18 −0.980623
\(266\) 3.01583e17 + 9.44487e16i 0.196243 + 0.0614587i
\(267\) −2.86896e17 + 4.10683e17i −0.181506 + 0.259820i
\(268\) −1.42106e18 + 2.04627e18i −0.874184 + 1.25878i
\(269\) 6.36304e17i 0.380647i −0.981721 0.190324i \(-0.939046\pi\)
0.981721 0.190324i \(-0.0609537\pi\)
\(270\) −1.60106e18 1.00832e18i −0.931495 0.586638i
\(271\) 2.86005e18i 1.61847i −0.587486 0.809234i \(-0.699882\pi\)
0.587486 0.809234i \(-0.300118\pi\)
\(272\) 1.80403e18 6.72441e17i 0.993064 0.370158i
\(273\) −2.11513e17 + 3.02774e17i −0.113271 + 0.162143i
\(274\) 7.70425e17 2.46003e18i 0.401422 1.28177i
\(275\) −3.76633e17 −0.190952
\(276\) 8.29967e17 + 2.24565e18i 0.409490 + 1.10796i
\(277\) −1.76482e18 −0.847425 −0.423713 0.905797i \(-0.639273\pi\)
−0.423713 + 0.905797i \(0.639273\pi\)
\(278\) 1.66147e17 5.30523e17i 0.0776529 0.247952i
\(279\) 2.27994e18 8.35465e17i 1.03727 0.380099i
\(280\) 2.56718e17 + 3.30577e17i 0.113703 + 0.146416i
\(281\) 2.48281e17i 0.107065i 0.998566 + 0.0535323i \(0.0170480\pi\)
−0.998566 + 0.0535323i \(0.982952\pi\)
\(282\) 5.66627e17 + 7.33840e17i 0.237919 + 0.308130i
\(283\) 2.81935e18i 1.15279i 0.817171 + 0.576395i \(0.195541\pi\)
−0.817171 + 0.576395i \(0.804459\pi\)
\(284\) −1.74966e18 1.21508e18i −0.696732 0.483857i
\(285\) −2.84132e18 1.98490e18i −1.10200 0.769843i
\(286\) 2.67442e18 + 8.37568e17i 1.01038 + 0.316428i
\(287\) −4.23575e17 −0.155889
\(288\) 2.56386e18 1.09772e18i 0.919285 0.393592i
\(289\) −3.52629e17 −0.123192
\(290\) 3.87504e18 + 1.21357e18i 1.31914 + 0.413125i
\(291\) 2.57669e18 + 1.80004e18i 0.854801 + 0.597151i
\(292\) −3.34537e18 2.32325e18i −1.08161 0.751145i
\(293\) 3.51723e18i 1.10839i 0.832386 + 0.554196i \(0.186974\pi\)
−0.832386 + 0.554196i \(0.813026\pi\)
\(294\) −1.93314e18 2.50361e18i −0.593824 0.769064i
\(295\) 2.22477e17i 0.0666223i
\(296\) −2.76144e18 3.55592e18i −0.806208 1.03816i
\(297\) −8.09610e17 + 3.06153e18i −0.230464 + 0.871494i
\(298\) 9.18271e17 2.93212e18i 0.254888 0.813878i
\(299\) −5.12531e18 −1.38735
\(300\) −2.78168e17 7.52640e17i −0.0734340 0.198691i
\(301\) 7.03347e17 0.181101
\(302\) −7.66438e17 + 2.44730e18i −0.192497 + 0.614661i
\(303\) 6.89419e17 9.86881e17i 0.168913 0.241794i
\(304\) 4.78706e18 1.78435e18i 1.14424 0.426508i
\(305\) 5.55299e18i 1.29502i
\(306\) −4.65203e18 + 2.22280e17i −1.05860 + 0.0505812i
\(307\) 6.33924e18i 1.40766i 0.710366 + 0.703832i \(0.248529\pi\)
−0.710366 + 0.703832i \(0.751471\pi\)
\(308\) 3.99578e17 5.75375e17i 0.0865908 0.124687i
\(309\) 1.52009e18 2.17597e18i 0.321501 0.460218i
\(310\) 5.62171e18 + 1.76059e18i 1.16053 + 0.363450i
\(311\) −1.17266e18 −0.236302 −0.118151 0.992996i \(-0.537697\pi\)
−0.118151 + 0.992996i \(0.537697\pi\)
\(312\) 3.01491e17 + 5.96300e18i 0.0593082 + 1.17302i
\(313\) 1.54937e18 0.297559 0.148779 0.988870i \(-0.452466\pi\)
0.148779 + 0.988870i \(0.452466\pi\)
\(314\) −2.61115e17 8.17752e16i −0.0489620 0.0153338i
\(315\) −3.48367e17 9.50677e17i −0.0637835 0.174062i
\(316\) −9.75737e17 + 1.40502e18i −0.174454 + 0.251205i
\(317\) 4.47609e18i 0.781545i −0.920487 0.390772i \(-0.872208\pi\)
0.920487 0.390772i \(-0.127792\pi\)
\(318\) −4.13468e18 + 3.19255e18i −0.705080 + 0.544420i
\(319\) 6.79612e18i 1.13196i
\(320\) 6.55550e18 + 1.67537e18i 1.06655 + 0.272575i
\(321\) −7.92262e18 5.53461e18i −1.25916 0.879629i
\(322\) −3.82879e17 + 1.22257e18i −0.0594487 + 0.189825i
\(323\) −8.53126e18 −1.29418
\(324\) −6.71590e18 + 6.43257e17i −0.995444 + 0.0953448i
\(325\) 1.71777e18 0.248794
\(326\) 2.14113e18 6.83682e18i 0.303048 0.967658i
\(327\) 1.02661e19 + 7.17175e18i 1.42003 + 0.992013i
\(328\) −5.40817e18 + 4.19984e18i −0.731134 + 0.567779i
\(329\) 4.96123e17i 0.0655572i
\(330\) −6.08099e18 + 4.69536e18i −0.785452 + 0.606478i
\(331\) 1.18893e19i 1.50122i −0.660743 0.750612i \(-0.729759\pi\)
0.660743 0.750612i \(-0.270241\pi\)
\(332\) 8.73267e18 + 6.06455e18i 1.07798 + 0.748623i
\(333\) 3.74728e18 + 1.02261e19i 0.452257 + 1.23419i
\(334\) 2.20584e18 + 6.90818e17i 0.260301 + 0.0815202i
\(335\) 1.46209e19 1.68709
\(336\) 1.44491e18 + 3.73541e17i 0.163040 + 0.0421497i
\(337\) 9.60248e18 1.05964 0.529821 0.848109i \(-0.322259\pi\)
0.529821 + 0.848109i \(0.322259\pi\)
\(338\) −3.35552e18 1.05087e18i −0.362147 0.113416i
\(339\) −3.59972e18 + 5.15288e18i −0.379989 + 0.543942i
\(340\) −9.28055e18 6.44503e18i −0.958256 0.665477i
\(341\) 9.85945e18i 0.995852i
\(342\) −1.23443e19 + 5.89828e17i −1.21975 + 0.0582814i
\(343\) 3.43461e18i 0.332025i
\(344\) 8.98028e18 6.97385e18i 0.849379 0.659606i
\(345\) 8.04645e18 1.15182e19i 0.744665 1.06596i
\(346\) −1.02160e18 + 3.26206e18i −0.0925146 + 0.295407i
\(347\) −2.02287e19 −1.79266 −0.896328 0.443393i \(-0.853775\pi\)
−0.896328 + 0.443393i \(0.853775\pi\)
\(348\) 1.35809e19 5.01936e18i 1.17784 0.435316i
\(349\) 3.79849e18 0.322418 0.161209 0.986920i \(-0.448461\pi\)
0.161209 + 0.986920i \(0.448461\pi\)
\(350\) 1.28324e17 4.09749e17i 0.0106610 0.0340414i
\(351\) 3.69252e18 1.39632e19i 0.300275 1.13548i
\(352\) −6.03184e17 1.13083e19i −0.0480153 0.900172i
\(353\) 1.33957e19i 1.04389i −0.852978 0.521946i \(-0.825206\pi\)
0.852978 0.521946i \(-0.174794\pi\)
\(354\) −4.84814e17 6.27885e17i −0.0369872 0.0479022i
\(355\) 1.25016e19i 0.933795i
\(356\) −2.47193e18 + 3.55947e18i −0.180785 + 0.260322i
\(357\) −2.04304e18 1.42724e18i −0.146307 0.102208i
\(358\) −9.44638e17 2.95839e17i −0.0662434 0.0207459i
\(359\) 3.32549e18 0.228374 0.114187 0.993459i \(-0.463574\pi\)
0.114187 + 0.993459i \(0.463574\pi\)
\(360\) −1.38741e19 8.68403e18i −0.933118 0.584053i
\(361\) −7.45692e18 −0.491196
\(362\) −2.65099e18 8.30228e17i −0.171038 0.0535652i
\(363\) −2.43069e18 1.69804e18i −0.153613 0.107312i
\(364\) −1.82242e18 + 2.62420e18i −0.112821 + 0.162457i
\(365\) 2.39031e19i 1.44963i
\(366\) 1.21009e19 + 1.56719e19i 0.718968 + 0.931139i
\(367\) 1.51431e19i 0.881496i 0.897631 + 0.440748i \(0.145287\pi\)
−0.897631 + 0.440748i \(0.854713\pi\)
\(368\) 7.23345e18 + 1.94060e19i 0.412560 + 1.10682i
\(369\) 1.55529e19 5.69921e18i 0.869185 0.318506i
\(370\) −7.89671e18 + 2.52149e19i −0.432447 + 1.38084i
\(371\) −2.79531e18 −0.150012
\(372\) 1.97025e19 7.28183e18i 1.03621 0.382973i
\(373\) −1.95522e19 −1.00781 −0.503906 0.863758i \(-0.668104\pi\)
−0.503906 + 0.863758i \(0.668104\pi\)
\(374\) −5.65170e18 + 1.80464e19i −0.285524 + 0.911702i
\(375\) 1.00344e19 1.43639e19i 0.496885 0.711275i
\(376\) 4.91918e18 + 6.33446e18i 0.238772 + 0.307469i
\(377\) 3.09961e19i 1.47485i
\(378\) −3.05487e18 1.92390e18i −0.142496 0.0897415i
\(379\) 1.79901e19i 0.822694i 0.911479 + 0.411347i \(0.134942\pi\)
−0.911479 + 0.411347i \(0.865058\pi\)
\(380\) −2.46263e19 1.71021e19i −1.10413 0.766785i
\(381\) −1.34045e19 + 1.91881e19i −0.589268 + 0.843518i
\(382\) −1.01781e19 3.18755e18i −0.438725 0.137398i
\(383\) 9.69154e18 0.409640 0.204820 0.978800i \(-0.434339\pi\)
0.204820 + 0.978800i \(0.434339\pi\)
\(384\) 2.21522e19 9.55723e18i 0.918190 0.396139i
\(385\) −4.11114e18 −0.167111
\(386\) −2.34350e19 7.33930e18i −0.934244 0.292584i
\(387\) −2.58256e19 + 9.46356e18i −1.00976 + 0.370017i
\(388\) 2.23327e19 + 1.55093e19i 0.856454 + 0.594778i
\(389\) 1.62174e19i 0.610040i −0.952346 0.305020i \(-0.901337\pi\)
0.952346 0.305020i \(-0.0986631\pi\)
\(390\) 2.77345e19 2.14149e19i 1.02338 0.790190i
\(391\) 3.45843e19i 1.25185i
\(392\) −1.67826e19 2.16110e19i −0.595954 0.767415i
\(393\) −1.01665e19 7.10217e18i −0.354184 0.247427i
\(394\) 1.60998e19 5.14081e19i 0.550300 1.75716i
\(395\) 1.00391e19 0.336678
\(396\) −6.93008e18 + 2.65030e19i −0.228047 + 0.872130i
\(397\) −1.26630e19 −0.408892 −0.204446 0.978878i \(-0.565539\pi\)
−0.204446 + 0.978878i \(0.565539\pi\)
\(398\) 4.04486e18 1.29156e19i 0.128168 0.409252i
\(399\) −5.42130e18 3.78723e18i −0.168580 0.117767i
\(400\) −2.42433e18 6.50400e18i −0.0739846 0.198486i
\(401\) 2.88280e19i 0.863440i −0.902008 0.431720i \(-0.857907\pi\)
0.902008 0.431720i \(-0.142093\pi\)
\(402\) 4.12638e19 3.18614e19i 1.21304 0.936632i
\(403\) 4.49676e19i 1.29751i
\(404\) 5.94012e18 8.55350e18i 0.168242 0.242261i
\(405\) 2.55828e19 + 3.02197e19i 0.711271 + 0.840191i
\(406\) 7.39367e18 + 2.31553e18i 0.201797 + 0.0631981i
\(407\) 4.42223e19 1.18490
\(408\) −4.02368e19 + 2.03439e18i −1.05846 + 0.0535159i
\(409\) −5.66206e19 −1.46234 −0.731172 0.682193i \(-0.761026\pi\)
−0.731172 + 0.682193i \(0.761026\pi\)
\(410\) 3.83491e19 + 1.20100e19i 0.972469 + 0.304555i
\(411\) −3.08928e19 + 4.42220e19i −0.769207 + 1.10109i
\(412\) 1.30973e19 1.88595e19i 0.320224 0.461107i
\(413\) 4.24491e17i 0.0101916i
\(414\) −2.39107e18 5.00419e19i −0.0563753 1.17986i
\(415\) 6.23962e19i 1.44477i
\(416\) 2.75104e18 + 5.15754e19i 0.0625600 + 1.17285i
\(417\) −6.66223e18 + 9.53677e18i −0.148799 + 0.213001i
\(418\) −1.49970e19 + 4.78867e19i −0.328990 + 1.05049i
\(419\) 4.18823e19 0.902454 0.451227 0.892409i \(-0.350987\pi\)
0.451227 + 0.892409i \(0.350987\pi\)
\(420\) −3.03634e18 8.21543e18i −0.0642658 0.173884i
\(421\) 4.58733e19 0.953771 0.476886 0.878965i \(-0.341766\pi\)
0.476886 + 0.878965i \(0.341766\pi\)
\(422\) 5.32779e18 1.70121e19i 0.108819 0.347467i
\(423\) −6.67535e18 1.82167e19i −0.133943 0.365525i
\(424\) −3.56903e19 + 2.77161e19i −0.703568 + 0.546372i
\(425\) 1.15911e19i 0.224496i
\(426\) 2.72430e19 + 3.52825e19i 0.518422 + 0.671410i
\(427\) 1.05952e19i 0.198108i
\(428\) −6.86670e19 4.76869e19i −1.26159 0.876135i
\(429\) −4.80759e19 3.35851e19i −0.867956 0.606340i
\(430\) −6.36787e19 1.99427e19i −1.12975 0.353810i
\(431\) 6.45252e19 1.12499 0.562497 0.826800i \(-0.309841\pi\)
0.562497 + 0.826800i \(0.309841\pi\)
\(432\) −5.80802e19 + 5.72553e18i −0.995176 + 0.0981042i
\(433\) 1.06501e20 1.79348 0.896739 0.442561i \(-0.145930\pi\)
0.896739 + 0.442561i \(0.145930\pi\)
\(434\) 1.07263e19 + 3.35924e18i 0.177533 + 0.0555992i
\(435\) −6.96584e19 4.86622e19i −1.13319 0.791631i
\(436\) 8.89787e19 + 6.17927e19i 1.42278 + 0.988072i
\(437\) 9.17709e19i 1.44243i
\(438\) 5.20890e19 + 6.74607e19i 0.804804 + 1.04230i
\(439\) 6.60898e18i 0.100381i −0.998740 0.0501904i \(-0.984017\pi\)
0.998740 0.0501904i \(-0.0159828\pi\)
\(440\) −5.24907e19 + 4.07629e19i −0.783767 + 0.608653i
\(441\) 2.27740e19 + 6.21492e19i 0.334311 + 0.912317i
\(442\) 2.57766e19 8.23070e19i 0.372014 1.18787i
\(443\) −1.21405e20 −1.72270 −0.861350 0.508012i \(-0.830381\pi\)
−0.861350 + 0.508012i \(0.830381\pi\)
\(444\) 3.26610e19 + 8.83709e19i 0.455677 + 1.23293i
\(445\) 2.54329e19 0.348896
\(446\) −3.21374e19 + 1.02617e20i −0.433510 + 1.38423i
\(447\) −3.68211e19 + 5.27082e19i −0.488417 + 0.699152i
\(448\) 1.25080e19 + 3.19665e18i 0.163157 + 0.0416975i
\(449\) 4.05552e19i 0.520235i −0.965577 0.260117i \(-0.916239\pi\)
0.965577 0.260117i \(-0.0837613\pi\)
\(450\) 8.01377e17 + 1.67718e19i 0.0101098 + 0.211585i
\(451\) 6.72572e19i 0.834478i
\(452\) −3.10156e19 + 4.46611e19i −0.378480 + 0.544993i
\(453\) 3.07329e19 4.39931e19i 0.368864 0.528017i
\(454\) −9.73657e19 3.04927e19i −1.14944 0.359979i
\(455\) 1.87503e19 0.217732
\(456\) −1.06770e20 + 5.39833e18i −1.21959 + 0.0616627i
\(457\) 8.35573e19 0.938887 0.469443 0.882963i \(-0.344455\pi\)
0.469443 + 0.882963i \(0.344455\pi\)
\(458\) −1.53675e19 4.81274e18i −0.169868 0.0531988i
\(459\) 9.42202e19 + 2.49162e19i 1.02459 + 0.270949i
\(460\) 6.93292e19 9.98309e19i 0.741707 1.06802i
\(461\) 1.21790e20i 1.28190i 0.767583 + 0.640949i \(0.221459\pi\)
−0.767583 + 0.640949i \(0.778541\pi\)
\(462\) −1.16027e19 + 8.95886e18i −0.120155 + 0.0927765i
\(463\) 9.75950e19i 0.994421i 0.867630 + 0.497210i \(0.165642\pi\)
−0.867630 + 0.497210i \(0.834358\pi\)
\(464\) 1.17361e20 4.37455e19i 1.17663 0.438580i
\(465\) −1.01057e20 7.05966e19i −0.996938 0.696445i
\(466\) −2.16503e19 + 6.91314e19i −0.210170 + 0.671090i
\(467\) −8.49606e19 −0.811598 −0.405799 0.913962i \(-0.633007\pi\)
−0.405799 + 0.913962i \(0.633007\pi\)
\(468\) 3.16071e19 1.20877e20i 0.297126 1.13631i
\(469\) 2.78970e19 0.258084
\(470\) 1.40671e19 4.49173e19i 0.128077 0.408959i
\(471\) 4.69385e18 + 3.27905e18i 0.0420603 + 0.0293826i
\(472\) −4.20892e18 5.41986e18i −0.0371198 0.0477995i
\(473\) 1.11681e20i 0.969438i
\(474\) 2.83327e19 2.18768e19i 0.242075 0.186916i
\(475\) 3.07575e19i 0.258671i
\(476\) −1.77075e19 1.22973e19i −0.146590 0.101802i
\(477\) 1.02638e20 3.76110e19i 0.836415 0.306497i
\(478\) −2.08165e18 6.51925e17i −0.0166993 0.00522984i
\(479\) 1.14293e20 0.902614 0.451307 0.892369i \(-0.350958\pi\)
0.451307 + 0.892369i \(0.350958\pi\)
\(480\) −1.20226e20 7.47880e19i −0.934733 0.581464i
\(481\) −2.01692e20 −1.54383
\(482\) −3.15738e19 9.88818e18i −0.237944 0.0745184i
\(483\) 1.53528e19 2.19770e19i 0.113916 0.163067i
\(484\) −2.10673e19 1.46305e19i −0.153910 0.106886i
\(485\) 1.59571e20i 1.14786i
\(486\) 1.38055e20 + 2.95385e19i 0.977867 + 0.209226i
\(487\) 1.23060e20i 0.858319i −0.903229 0.429159i \(-0.858810\pi\)
0.903229 0.429159i \(-0.141190\pi\)
\(488\) 1.05054e20 + 1.35279e20i 0.721547 + 0.929142i
\(489\) −8.58558e19 + 1.22900e20i −0.580702 + 0.831256i
\(490\) −4.79921e19 + 1.53243e20i −0.319668 + 1.02073i
\(491\) 7.15084e19 0.469079 0.234539 0.972107i \(-0.424642\pi\)
0.234539 + 0.972107i \(0.424642\pi\)
\(492\) 1.34403e20 4.96738e19i 0.868299 0.320914i
\(493\) −2.09154e20 −1.33081
\(494\) 6.83993e19 2.18405e20i 0.428647 1.36871i
\(495\) 1.50953e20 5.53155e19i 0.931757 0.341435i
\(496\) 1.70261e20 6.34636e19i 1.03515 0.385845i
\(497\) 2.38533e19i 0.142848i
\(498\) −1.35972e20 1.76098e20i −0.802101 1.03880i
\(499\) 2.71090e19i 0.157529i −0.996893 0.0787643i \(-0.974903\pi\)
0.996893 0.0787643i \(-0.0250974\pi\)
\(500\) 8.64575e19 1.24495e20i 0.494912 0.712650i
\(501\) −3.96525e19 2.77006e19i −0.223608 0.156209i
\(502\) 1.13570e20 + 3.55675e19i 0.630937 + 0.197595i
\(503\) −1.85993e20 −1.01797 −0.508987 0.860774i \(-0.669980\pi\)
−0.508987 + 0.860774i \(0.669980\pi\)
\(504\) −2.64721e19 1.65693e19i −0.142745 0.0893461i
\(505\) −6.11160e19 −0.324690
\(506\) −1.94125e20 6.07954e19i −1.01614 0.318231i
\(507\) 6.03194e19 + 4.21382e19i 0.311098 + 0.217328i
\(508\) −1.15495e20 + 1.66307e20i −0.586927 + 0.845148i
\(509\) 1.57965e20i 0.791004i 0.918465 + 0.395502i \(0.129429\pi\)
−0.918465 + 0.395502i \(0.870571\pi\)
\(510\) 1.44503e20 + 1.87146e20i 0.713016 + 0.923430i
\(511\) 4.56077e19i 0.221759i
\(512\) 1.91397e20 8.32056e19i 0.917089 0.398683i
\(513\) 2.50017e20 + 6.61162e19i 1.18056 + 0.312196i
\(514\) −1.40760e18 + 4.49458e18i −0.00655021 + 0.0209154i
\(515\) −1.34754e20 −0.617999
\(516\) −2.23176e20 + 8.24834e19i −1.00873 + 0.372815i
\(517\) −7.87768e19 −0.350929
\(518\) −1.50671e19 + 4.81105e19i −0.0661541 + 0.211235i
\(519\) 4.09644e19 5.86392e19i 0.177277 0.253766i
\(520\) 2.39403e20 1.85914e20i 1.02118 0.793024i
\(521\) 3.72856e19i 0.156768i 0.996923 + 0.0783842i \(0.0249761\pi\)
−0.996923 + 0.0783842i \(0.975024\pi\)
\(522\) −3.02637e20 + 1.44604e19i −1.25428 + 0.0599309i
\(523\) 2.95684e20i 1.20800i 0.796985 + 0.603998i \(0.206427\pi\)
−0.796985 + 0.603998i \(0.793573\pi\)
\(524\) −8.81154e19 6.11932e19i −0.354868 0.246444i
\(525\) −5.14557e18 + 7.36571e18i −0.0204286 + 0.0292429i
\(526\) −3.40493e20 1.06634e20i −1.33265 0.417354i
\(527\) −3.03430e20 −1.17079
\(528\) −5.93127e19 + 2.29429e20i −0.225628 + 0.872759i
\(529\) 1.05389e20 0.395254
\(530\) 2.53078e20 + 7.92581e19i 0.935805 + 0.293072i
\(531\) 5.71153e18 + 1.55865e19i 0.0208230 + 0.0568250i
\(532\) −4.69875e19 3.26313e19i −0.168906 0.117300i
\(533\) 3.06751e20i 1.08726i
\(534\) 7.17782e19 5.54227e19i 0.250861 0.193699i
\(535\) 4.90635e20i 1.69085i
\(536\) 3.56186e20 2.76605e20i 1.21043 0.939991i
\(537\) 1.69810e19 + 1.18626e19i 0.0569057 + 0.0397534i
\(538\) −3.44241e19 + 1.09919e20i −0.113762 + 0.363250i
\(539\) 2.68760e20 0.875888
\(540\) 2.22027e20 + 2.60801e20i 0.713597 + 0.838216i
\(541\) 2.62259e20 0.831287 0.415644 0.909528i \(-0.363556\pi\)
0.415644 + 0.909528i \(0.363556\pi\)
\(542\) −1.54729e20 + 4.94063e20i −0.483701 + 1.54450i
\(543\) 4.76546e19 + 3.32907e19i 0.146928 + 0.102642i
\(544\) −3.48018e20 + 1.85633e19i −1.05830 + 0.0564501i
\(545\) 6.35765e20i 1.90688i
\(546\) 5.29181e19 4.08601e19i 0.156552 0.120880i
\(547\) 5.35824e20i 1.56357i −0.623548 0.781785i \(-0.714309\pi\)
0.623548 0.781785i \(-0.285691\pi\)
\(548\) −2.66176e20 + 3.83281e20i −0.766151 + 1.10322i
\(549\) −1.42559e20 3.89037e20i −0.404765 1.10458i
\(550\) 6.50619e19 + 2.03759e19i 0.182224 + 0.0570685i
\(551\) −5.54999e20 −1.53340
\(552\) −2.18839e19 4.32828e20i −0.0596461 1.17970i
\(553\) 1.91547e19 0.0515036
\(554\) 3.04865e20 + 9.54767e19i 0.808694 + 0.253264i
\(555\) 3.16645e20 4.53267e20i 0.828657 1.18620i
\(556\) −5.74026e19 + 8.26571e19i −0.148208 + 0.213412i
\(557\) 3.25986e20i 0.830395i 0.909731 + 0.415197i \(0.136288\pi\)
−0.909731 + 0.415197i \(0.863712\pi\)
\(558\) −4.39049e20 + 2.09783e19i −1.10346 + 0.0527248i
\(559\) 5.09361e20i 1.26310i
\(560\) −2.64627e19 7.09944e19i −0.0647476 0.173706i
\(561\) 2.26624e20 3.24404e20i 0.547122 0.783187i
\(562\) 1.34320e19 4.28896e19i 0.0319977 0.102171i
\(563\) 2.38947e20 0.561680 0.280840 0.959755i \(-0.409387\pi\)
0.280840 + 0.959755i \(0.409387\pi\)
\(564\) −5.81817e19 1.57423e20i −0.134956 0.365152i
\(565\) 3.19110e20 0.730428
\(566\) 1.52527e20 4.87031e20i 0.344527 1.10010i
\(567\) 4.88125e19 + 5.76599e19i 0.108807 + 0.128529i
\(568\) 2.36511e20 + 3.04557e20i 0.520281 + 0.669970i
\(569\) 3.74243e20i 0.812478i −0.913767 0.406239i \(-0.866840\pi\)
0.913767 0.406239i \(-0.133160\pi\)
\(570\) 3.83443e20 + 4.96599e20i 0.821561 + 1.06401i
\(571\) 5.52406e18i 0.0116812i −0.999983 0.00584060i \(-0.998141\pi\)
0.999983 0.00584060i \(-0.00185913\pi\)
\(572\) −4.16684e20 2.89373e20i −0.869634 0.603932i
\(573\) 1.82964e20 + 1.27815e20i 0.376882 + 0.263283i
\(574\) 7.31709e19 + 2.29154e19i 0.148764 + 0.0465896i
\(575\) −1.24686e20 −0.250212
\(576\) −5.02283e20 + 5.09213e19i −0.994900 + 0.100863i
\(577\) 3.96346e20 0.774918 0.387459 0.921887i \(-0.373353\pi\)
0.387459 + 0.921887i \(0.373353\pi\)
\(578\) 6.09152e19 + 1.90772e19i 0.117562 + 0.0368177i
\(579\) 4.21272e20 + 2.94294e20i 0.802552 + 0.560650i
\(580\) −6.03744e20 4.19280e20i −1.13538 0.788486i
\(581\) 1.19053e20i 0.221014i
\(582\) −3.47731e20 4.50348e20i −0.637267 0.825327i
\(583\) 4.43852e20i 0.803016i
\(584\) 4.52211e20 + 5.82316e20i 0.807690 + 1.04007i
\(585\) −6.88476e20 + 2.52286e20i −1.21400 + 0.444861i
\(586\) 1.90282e20 6.07587e20i 0.331258 1.05773i
\(587\) 3.17027e20 0.544892 0.272446 0.962171i \(-0.412167\pi\)
0.272446 + 0.962171i \(0.412167\pi\)
\(588\) 1.98496e20 + 5.37072e20i 0.336839 + 0.911387i
\(589\) −8.05164e20 −1.34902
\(590\) −1.20360e19 + 3.84320e19i −0.0199110 + 0.0635774i
\(591\) −6.45576e20 + 9.24121e20i −1.05449 + 1.50946i
\(592\) 2.84651e20 + 7.63665e20i 0.459093 + 1.23166i
\(593\) 4.19163e20i 0.667533i 0.942656 + 0.333766i \(0.108320\pi\)
−0.942656 + 0.333766i \(0.891680\pi\)
\(594\) 3.05486e20 4.85066e20i 0.480388 0.762786i
\(595\) 1.26523e20i 0.196468i
\(596\) −3.17255e20 + 4.56833e20i −0.486477 + 0.700504i
\(597\) −1.62192e20 + 2.32173e20i −0.245597 + 0.351563i
\(598\) 8.85377e20 + 2.77279e20i 1.32394 + 0.414628i
\(599\) 3.07394e20 0.453935 0.226968 0.973902i \(-0.427119\pi\)
0.226968 + 0.973902i \(0.427119\pi\)
\(600\) 7.33450e18 + 1.45064e20i 0.0106964 + 0.211557i
\(601\) 5.16084e20 0.743295 0.371648 0.928374i \(-0.378793\pi\)
0.371648 + 0.928374i \(0.378793\pi\)
\(602\) −1.21500e20 3.80511e19i −0.172824 0.0541245i
\(603\) −1.02432e21 + 3.75354e20i −1.43899 + 0.527305i
\(604\) 2.64798e20 3.81297e20i 0.367399 0.529038i
\(605\) 1.50529e20i 0.206278i
\(606\) −1.72485e20 + 1.33182e20i −0.233456 + 0.180261i
\(607\) 1.37109e21i 1.83295i 0.400087 + 0.916477i \(0.368980\pi\)
−0.400087 + 0.916477i \(0.631020\pi\)
\(608\) −9.23480e20 + 4.92586e19i −1.21941 + 0.0650436i
\(609\) −1.32910e20 9.28487e19i −0.173351 0.121100i
\(610\) 3.00417e20 9.59257e20i 0.387035 1.23584i
\(611\) 3.59290e20 0.457232
\(612\) 8.15645e20 + 2.13277e20i 1.02533 + 0.268107i
\(613\) 5.55383e20 0.689667 0.344833 0.938664i \(-0.387935\pi\)
0.344833 + 0.938664i \(0.387935\pi\)
\(614\) 3.42953e20 1.09508e21i 0.420699 1.34333i
\(615\) −6.89369e20 4.81582e20i −0.835388 0.583589i
\(616\) −1.00153e20 + 7.77765e19i −0.119898 + 0.0931092i
\(617\) 6.14682e20i 0.726962i 0.931602 + 0.363481i \(0.118412\pi\)
−0.931602 + 0.363481i \(0.881588\pi\)
\(618\) −3.80310e20 + 2.93652e20i −0.444349 + 0.343099i
\(619\) 1.57029e21i 1.81259i −0.422644 0.906296i \(-0.638898\pi\)
0.422644 0.906296i \(-0.361102\pi\)
\(620\) −8.75880e20 6.08269e20i −0.998865 0.693678i
\(621\) −2.68024e20 + 1.01353e21i −0.301986 + 1.14195i
\(622\) 2.02572e20 + 6.34407e19i 0.225502 + 0.0706220i
\(623\) 4.85266e19 0.0533728
\(624\) 2.70517e20 1.04639e21i 0.293975 1.13713i
\(625\) −1.08681e21 −1.16696
\(626\) −2.67647e20 8.38209e19i −0.283959 0.0889293i
\(627\) 6.01355e20 8.60820e20i 0.630412 0.902414i
\(628\) 4.06825e19 + 2.82527e19i 0.0421416 + 0.0292659i
\(629\) 1.36097e21i 1.39305i
\(630\) 8.74743e18 + 1.83072e20i 0.00884761 + 0.185169i
\(631\) 1.30996e21i 1.30930i 0.755933 + 0.654649i \(0.227184\pi\)
−0.755933 + 0.654649i \(0.772816\pi\)
\(632\) 2.44566e20 1.89924e20i 0.241556 0.187586i
\(633\) −2.13635e20 + 3.05812e20i −0.208519 + 0.298488i
\(634\) −2.42156e20 + 7.73226e20i −0.233575 + 0.745825i
\(635\) 1.18829e21 1.13271
\(636\) 8.86966e20 3.27813e20i 0.835562 0.308815i
\(637\) −1.22578e21 −1.14121
\(638\) −3.67670e20 + 1.17400e21i −0.338301 + 1.08022i
\(639\) −3.20946e20 8.75846e20i −0.291861 0.796473i
\(640\) −1.04180e21 6.44067e20i −0.936342 0.578870i
\(641\) 4.21198e20i 0.374155i 0.982345 + 0.187077i \(0.0599015\pi\)
−0.982345 + 0.187077i \(0.940099\pi\)
\(642\) 1.06918e21 + 1.38470e21i 0.938722 + 1.21574i
\(643\) 4.03246e20i 0.349936i 0.984574 + 0.174968i \(0.0559821\pi\)
−0.984574 + 0.174968i \(0.944018\pi\)
\(644\) 1.32282e20 1.90480e20i 0.113463 0.163382i
\(645\) 1.14470e21 + 7.99668e20i 0.970495 + 0.677973i
\(646\) 1.47374e21 + 4.61542e20i 1.23503 + 0.386783i
\(647\) 4.33098e20 0.358760 0.179380 0.983780i \(-0.442591\pi\)
0.179380 + 0.983780i \(0.442591\pi\)
\(648\) 1.19495e21 + 2.52211e20i 0.978444 + 0.206515i
\(649\) 6.74027e19 0.0545559
\(650\) −2.96738e20 9.29315e19i −0.237423 0.0743555i
\(651\) −1.92818e20 1.34700e20i −0.152508 0.106539i
\(652\) −7.39744e20 + 1.06520e21i −0.578395 + 0.832862i
\(653\) 6.53749e20i 0.505315i −0.967556 0.252657i \(-0.918695\pi\)
0.967556 0.252657i \(-0.0813046\pi\)
\(654\) −1.38544e21 1.79429e21i −1.05866 1.37107i
\(655\) 6.29597e20i 0.475612i
\(656\) 1.16145e21 4.32924e20i 0.867406 0.323320i
\(657\) −6.13653e20 1.67463e21i −0.453088 1.23645i
\(658\) 2.68403e19 8.57033e19i 0.0195926 0.0625609i
\(659\) 1.91228e21 1.38010 0.690049 0.723763i \(-0.257589\pi\)
0.690049 + 0.723763i \(0.257589\pi\)
\(660\) 1.30449e21 4.82124e20i 0.930807 0.344016i
\(661\) −1.12374e21 −0.792787 −0.396394 0.918081i \(-0.629738\pi\)
−0.396394 + 0.918081i \(0.629738\pi\)
\(662\) −6.43211e20 + 2.05383e21i −0.448661 + 1.43261i
\(663\) −1.03360e21 + 1.47956e21i −0.712854 + 1.02043i
\(664\) −1.18044e21 1.52007e21i −0.804978 1.03658i
\(665\) 3.35733e20i 0.226376i
\(666\) −9.40935e19 1.96925e21i −0.0627340 1.31294i
\(667\) 2.24988e21i 1.48325i
\(668\) −3.43677e20 2.38672e20i −0.224041 0.155589i
\(669\) 1.28866e21 1.84467e21i 0.830694 1.18911i
\(670\) −2.52570e21 7.90990e20i −1.60998 0.504208i
\(671\) −1.68236e21 −1.06047
\(672\) −2.29393e20 1.42697e20i −0.142992 0.0889500i
\(673\) 2.21640e21 1.36627 0.683133 0.730294i \(-0.260617\pi\)
0.683133 + 0.730294i \(0.260617\pi\)
\(674\) −1.65879e21 5.19495e20i −1.01121 0.316688i
\(675\) 8.98296e19 3.39689e20i 0.0541553 0.204787i
\(676\) 5.22801e20 + 3.63068e20i 0.311700 + 0.216465i
\(677\) 1.25306e21i 0.738853i −0.929260 0.369426i \(-0.879554\pi\)
0.929260 0.369426i \(-0.120446\pi\)
\(678\) 9.00609e20 6.95395e20i 0.525186 0.405517i
\(679\) 3.04464e20i 0.175595i
\(680\) 1.25450e21 + 1.61543e21i 0.715573 + 0.921450i
\(681\) 1.75026e21 + 1.22270e21i 0.987415 + 0.689792i
\(682\) −5.33397e20 + 1.70318e21i −0.297624 + 0.950337i
\(683\) −2.33201e21 −1.28699 −0.643494 0.765451i \(-0.722516\pi\)
−0.643494 + 0.765451i \(0.722516\pi\)
\(684\) 2.16435e21 + 5.65939e20i 1.18142 + 0.308922i
\(685\) 2.73860e21 1.47859
\(686\) −1.85812e20 + 5.93315e20i −0.0992302 + 0.316851i
\(687\) 2.76249e20 + 1.92983e20i 0.145923 + 0.101940i
\(688\) −1.92859e21 + 7.18871e20i −1.00769 + 0.375610i
\(689\) 2.02435e21i 1.04626i
\(690\) −2.01313e21 + 1.55442e21i −1.02921 + 0.794692i
\(691\) 2.54645e21i 1.28781i 0.765107 + 0.643903i \(0.222686\pi\)
−0.765107 + 0.643903i \(0.777314\pi\)
\(692\) 3.52955e20 5.08238e20i 0.176573 0.254256i
\(693\) 2.88022e20 1.05543e20i 0.142536 0.0522313i
\(694\) 3.49443e21 + 1.09437e21i 1.71072 + 0.535759i
\(695\) 5.90597e20 0.286026
\(696\) −2.61760e21 + 1.32347e20i −1.25410 + 0.0634079i
\(697\) −2.06988e21 −0.981069
\(698\) −6.56173e20 2.05498e20i −0.307683 0.0963591i
\(699\) 8.68142e20 1.24272e21i 0.402728 0.576492i
\(700\) −4.43349e19 + 6.38402e19i −0.0203475 + 0.0292994i
\(701\) 4.23946e20i 0.192497i −0.995357 0.0962487i \(-0.969316\pi\)
0.995357 0.0962487i \(-0.0306844\pi\)
\(702\) −1.39328e21 + 2.21232e21i −0.625906 + 0.993847i
\(703\) 3.61138e21i 1.60512i
\(704\) −5.07579e20 + 1.98609e21i −0.223208 + 0.873381i
\(705\) −5.64066e20 + 8.07442e20i −0.245421 + 0.351312i
\(706\) −7.24709e20 + 2.31406e21i −0.311981 + 0.996182i
\(707\) −1.16611e20 −0.0496698
\(708\) 4.97811e19 + 1.34693e20i 0.0209805 + 0.0567670i
\(709\) −7.76846e20 −0.323958 −0.161979 0.986794i \(-0.551788\pi\)
−0.161979 + 0.986794i \(0.551788\pi\)
\(710\) 6.76335e20 2.15959e21i 0.279077 0.891117i
\(711\) −7.03325e20 + 2.57727e20i −0.287167 + 0.105230i
\(712\) 6.19585e20 4.81153e20i 0.250323 0.194394i
\(713\) 3.26400e21i 1.30490i
\(714\) 2.75714e20 + 3.57079e20i 0.109074 + 0.141263i
\(715\) 2.97727e21i 1.16553i
\(716\) 1.47178e20 + 1.02210e20i 0.0570156 + 0.0395955i
\(717\) 3.74201e19 + 2.61411e19i 0.0143454 + 0.0100214i
\(718\) −5.74465e20 1.79909e20i −0.217937 0.0682527i
\(719\) −2.11639e21 −0.794563 −0.397281 0.917697i \(-0.630046\pi\)
−0.397281 + 0.917697i \(0.630046\pi\)
\(720\) 1.92689e21 + 2.25072e21i 0.715918 + 0.836234i
\(721\) −2.57114e20 −0.0945390
\(722\) 1.28815e21 + 4.03419e20i 0.468747 + 0.146801i
\(723\) 5.67576e20 + 3.96499e20i 0.204403 + 0.142792i
\(724\) 4.13032e20 + 2.86837e20i 0.147212 + 0.102234i
\(725\) 7.54057e20i 0.265992i
\(726\) 3.28027e20 + 4.24830e20i 0.114521 + 0.148317i
\(727\) 2.04743e21i 0.707457i 0.935348 + 0.353728i \(0.115086\pi\)
−0.935348 + 0.353728i \(0.884914\pi\)
\(728\) 4.56786e20 3.54728e20i 0.156217 0.121314i
\(729\) −2.56812e21 1.46039e21i −0.869277 0.494324i
\(730\) 1.29316e21 4.12917e21i 0.433242 1.38338i
\(731\) 3.43704e21 1.13974
\(732\) −1.24253e21 3.36192e21i −0.407825 1.10346i
\(733\) 6.60453e20 0.214567 0.107283 0.994228i \(-0.465785\pi\)
0.107283 + 0.994228i \(0.465785\pi\)
\(734\) 8.19244e20 2.61592e21i 0.263447 0.841208i
\(735\) 1.92440e21 2.75472e21i 0.612549 0.876843i
\(736\) −1.99686e20 3.74363e21i −0.0629164 1.17953i
\(737\) 4.42961e21i 1.38153i
\(738\) −2.99502e21 + 1.43106e20i −0.924650 + 0.0441809i
\(739\) 2.11800e21i 0.647281i −0.946180 0.323641i \(-0.895093\pi\)
0.946180 0.323641i \(-0.104907\pi\)
\(740\) 2.72825e21 3.92855e21i 0.825366 1.18849i
\(741\) −2.74270e21 + 3.92608e21i −0.821375 + 1.17577i
\(742\) 4.82878e20 + 1.51226e20i 0.143156 + 0.0448330i
\(743\) −1.48465e21 −0.435721 −0.217861 0.975980i \(-0.569908\pi\)
−0.217861 + 0.975980i \(0.569908\pi\)
\(744\) −3.79747e21 + 1.92001e20i −1.10331 + 0.0557837i
\(745\) 3.26414e21 0.938850
\(746\) 3.37757e21 + 1.05778e21i 0.961751 + 0.301198i
\(747\) 1.60187e21 + 4.37141e21i 0.451567 + 1.23230i
\(748\) 1.95262e21 2.81168e21i 0.544948 0.784701i
\(749\) 9.36143e20i 0.258660i
\(750\) −2.51049e21 + 1.93844e21i −0.686750 + 0.530266i
\(751\) 2.10147e21i 0.569147i −0.958654 0.284573i \(-0.908148\pi\)
0.958654 0.284573i \(-0.0918520\pi\)
\(752\) −5.07073e20 1.36038e21i −0.135968 0.364776i
\(753\) −2.04155e21 1.42620e21i −0.541999 0.378632i
\(754\) 1.67689e21 5.35446e21i 0.440778 1.40744i
\(755\) −2.72442e21 −0.709043
\(756\) 4.23633e20 + 4.97614e20i 0.109163 + 0.128227i
\(757\) −3.55979e21 −0.908250 −0.454125 0.890938i \(-0.650048\pi\)
−0.454125 + 0.890938i \(0.650048\pi\)
\(758\) 9.73263e20 3.10771e21i 0.245873 0.785094i
\(759\) 3.48962e21 + 2.43779e21i 0.872901 + 0.609795i
\(760\) 3.32887e21 + 4.28661e21i 0.824507 + 1.06172i
\(761\) 2.44120e21i 0.598712i −0.954142 0.299356i \(-0.903228\pi\)
0.954142 0.299356i \(-0.0967718\pi\)
\(762\) 3.35365e21 2.58948e21i 0.814433 0.628855i
\(763\) 1.21305e21i 0.291707i
\(764\) 1.58578e21 + 1.10127e21i 0.377610 + 0.262238i