Properties

Label 16.12.e.a.5.9
Level 16
Weight 12
Character 16.5
Analytic conductor 12.293
Analytic rank 0
Dimension 42
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 16 = 2^{4} \)
Weight: \( k \) = \( 12 \)
Character orbit: \([\chi]\) = 16.e (of order \(4\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(12.293490889\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(i)\)
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 5.9
Character \(\chi\) = 16.5
Dual form 16.12.e.a.13.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.87277 - 44.7299i) q^{2} +(-291.167 + 291.167i) q^{3} +(-1953.53 + 614.837i) q^{4} +(-9753.88 - 9753.88i) q^{5} +(15025.0 + 11022.8i) q^{6} -16447.0i q^{7} +(40927.8 + 83155.6i) q^{8} +7590.38i q^{9} +O(q^{10})\) \(q+(-6.87277 - 44.7299i) q^{2} +(-291.167 + 291.167i) q^{3} +(-1953.53 + 614.837i) q^{4} +(-9753.88 - 9753.88i) q^{5} +(15025.0 + 11022.8i) q^{6} -16447.0i q^{7} +(40927.8 + 83155.6i) q^{8} +7590.38i q^{9} +(-369254. + 503326. i) q^{10} +(477540. + 477540. i) q^{11} +(389783. - 747824. i) q^{12} +(665864. - 665864. i) q^{13} +(-735671. + 113036. i) q^{14} +5.68002e6 q^{15} +(3.43825e6 - 2.40221e6i) q^{16} -5.80462e6 q^{17} +(339517. - 52166.9i) q^{18} +(1.91371e6 - 1.91371e6i) q^{19} +(2.50515e7 + 1.30574e7i) q^{20} +(4.78882e6 + 4.78882e6i) q^{21} +(1.80783e7 - 2.46424e7i) q^{22} +1.46860e7i q^{23} +(-3.61290e7 - 1.22954e7i) q^{24} +1.41448e8i q^{25} +(-3.43603e7 - 2.52077e7i) q^{26} +(-5.37895e7 - 5.37895e7i) q^{27} +(1.01122e7 + 3.21296e7i) q^{28} +(5.83665e7 - 5.83665e7i) q^{29} +(-3.90375e7 - 2.54067e8i) q^{30} +8.50845e7 q^{31} +(-1.31081e8 - 1.37283e8i) q^{32} -2.78088e8 q^{33} +(3.98938e7 + 2.59640e8i) q^{34} +(-1.60422e8 + 1.60422e8i) q^{35} +(-4.66684e6 - 1.48280e7i) q^{36} +(2.52847e7 + 2.52847e7i) q^{37} +(-9.87525e7 - 7.24475e7i) q^{38} +3.87755e8i q^{39} +(4.11885e8 - 1.21029e9i) q^{40} +9.24887e8i q^{41} +(1.81291e8 - 2.47116e8i) q^{42} +(1.00305e9 + 1.00305e9i) q^{43} +(-1.22650e9 - 6.39280e8i) q^{44} +(7.40356e7 - 7.40356e7i) q^{45} +(6.56906e8 - 1.00934e8i) q^{46} -2.86182e9 q^{47} +(-3.01664e8 + 1.70055e9i) q^{48} +1.70682e9 q^{49} +(6.32696e9 - 9.72141e8i) q^{50} +(1.69011e9 - 1.69011e9i) q^{51} +(-8.91387e8 + 1.71018e9i) q^{52} +(2.34993e9 + 2.34993e9i) q^{53} +(-2.03631e9 + 2.77568e9i) q^{54} -9.31574e9i q^{55} +(1.36766e9 - 6.73138e8i) q^{56} +1.11442e9i q^{57} +(-3.01187e9 - 2.20959e9i) q^{58} +(-5.55716e8 - 5.55716e8i) q^{59} +(-1.10961e10 + 3.49228e9i) q^{60} +(-2.31483e9 + 2.31483e9i) q^{61} +(-5.84766e8 - 3.80582e9i) q^{62} +1.24839e8 q^{63} +(-5.23977e9 + 6.80675e9i) q^{64} -1.29895e10 q^{65} +(1.91124e9 + 1.24389e10i) q^{66} +(1.02227e10 - 1.02227e10i) q^{67} +(1.13395e10 - 3.56889e9i) q^{68} +(-4.27609e9 - 4.27609e9i) q^{69} +(8.27819e9 + 6.07311e9i) q^{70} -1.39591e9i q^{71} +(-6.31182e8 + 3.10657e8i) q^{72} +2.22133e10i q^{73} +(9.57205e8 - 1.30476e9i) q^{74} +(-4.11850e10 - 4.11850e10i) q^{75} +(-2.56187e9 + 4.91511e9i) q^{76} +(7.85409e9 - 7.85409e9i) q^{77} +(1.73443e10 - 2.66495e9i) q^{78} +3.84124e10 q^{79} +(-5.69671e10 - 1.01055e10i) q^{80} +2.99788e10 q^{81} +(4.13701e10 - 6.35654e9i) q^{82} +(-4.10961e9 + 4.10961e9i) q^{83} +(-1.22994e10 - 6.41075e9i) q^{84} +(5.66175e10 + 5.66175e10i) q^{85} +(3.79727e10 - 5.17602e10i) q^{86} +3.39888e10i q^{87} +(-2.01655e10 + 5.92548e10i) q^{88} +1.47623e10i q^{89} +(-3.82044e9 - 2.80278e9i) q^{90} +(-1.09514e10 - 1.09514e10i) q^{91} +(-9.02952e9 - 2.86896e10i) q^{92} +(-2.47738e10 + 2.47738e10i) q^{93} +(1.96686e10 + 1.28009e11i) q^{94} -3.73322e10 q^{95} +(7.81387e10 + 1.80590e9i) q^{96} -9.56623e10 q^{97} +(-1.17306e10 - 7.63461e10i) q^{98} +(-3.62471e9 + 3.62471e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 2q^{2} - 2q^{3} + 3080q^{4} - 2q^{5} + 30352q^{6} + 74836q^{8} + O(q^{10}) \) \( 42q - 2q^{2} - 2q^{3} + 3080q^{4} - 2q^{5} + 30352q^{6} + 74836q^{8} - 988948q^{10} - 540846q^{11} + 2300260q^{12} - 2q^{13} - 1829956q^{14} - 6075004q^{15} - 3721448q^{16} - 4q^{17} - 32219106q^{18} - 11291290q^{19} + 68655164q^{20} + 354292q^{21} - 85011388q^{22} - 66180944q^{24} + 305685384q^{26} - 66463304q^{27} - 322075880q^{28} + 77673206q^{29} + 290643636q^{30} + 343549808q^{31} + 404698568q^{32} - 4q^{33} - 882461836q^{34} - 434731684q^{35} + 1854387628q^{36} - 522762058q^{37} - 1276252832q^{38} - 483241016q^{40} + 2372079160q^{42} + 3824193658q^{43} - 2657283740q^{44} + 97301954q^{45} - 1032658964q^{46} - 4586900144q^{47} - 1058870552q^{48} - 8474257474q^{49} + 6515930886q^{50} + 7074245796q^{51} - 13915491564q^{52} - 2100608058q^{53} + 4385621536q^{54} + 12910845976q^{56} - 21491153128q^{58} + 955824746q^{59} + 25615752768q^{60} + 2150827022q^{61} - 15814519760q^{62} + 27758037828q^{63} + 9674332160q^{64} - 1884965292q^{65} + 10932459412q^{66} - 3186519018q^{67} + 13817664656q^{68} - 16193060732q^{69} - 27206453120q^{70} - 20773133628q^{72} + 14141420908q^{74} + 28890034486q^{75} - 11786004940q^{76} - 22711870540q^{77} + 37031200508q^{78} + 48011833792q^{79} - 8952586328q^{80} - 90656394430q^{81} - 81555388352q^{82} + 55713221118q^{83} + 61178517160q^{84} - 84575506252q^{85} + 10047297860q^{86} - 162855622152q^{88} + 160133627736q^{90} - 147369662716q^{91} - 169766721928q^{92} - 69689773328q^{93} + 160320530128q^{94} + 375702304500q^{95} + 230764310192q^{96} - 4q^{97} - 108887063494q^{98} - 286271331106q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(15\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.87277 44.7299i −0.151868 0.988401i
\(3\) −291.167 + 291.167i −0.691792 + 0.691792i −0.962626 0.270834i \(-0.912701\pi\)
0.270834 + 0.962626i \(0.412701\pi\)
\(4\) −1953.53 + 614.837i −0.953872 + 0.300213i
\(5\) −9753.88 9753.88i −1.39586 1.39586i −0.811477 0.584384i \(-0.801336\pi\)
−0.584384 0.811477i \(-0.698664\pi\)
\(6\) 15025.0 + 11022.8i 0.788829 + 0.578706i
\(7\) 16447.0i 0.369868i −0.982751 0.184934i \(-0.940793\pi\)
0.982751 0.184934i \(-0.0592071\pi\)
\(8\) 40927.8 + 83155.6i 0.441594 + 0.897215i
\(9\) 7590.38i 0.0428479i
\(10\) −369254. + 503326.i −1.16768 + 1.59166i
\(11\) 477540. + 477540.i 0.894026 + 0.894026i 0.994899 0.100873i \(-0.0321637\pi\)
−0.100873 + 0.994899i \(0.532164\pi\)
\(12\) 389783. 747824.i 0.452196 0.867566i
\(13\) 665864. 665864.i 0.497390 0.497390i −0.413235 0.910625i \(-0.635601\pi\)
0.910625 + 0.413235i \(0.135601\pi\)
\(14\) −735671. + 113036.i −0.365578 + 0.0561712i
\(15\) 5.68002e6 1.93129
\(16\) 3.43825e6 2.40221e6i 0.819744 0.572730i
\(17\) −5.80462e6 −0.991527 −0.495764 0.868457i \(-0.665112\pi\)
−0.495764 + 0.868457i \(0.665112\pi\)
\(18\) 339517. 52166.9i 0.0423509 0.00650723i
\(19\) 1.91371e6 1.91371e6i 0.177309 0.177309i −0.612873 0.790182i \(-0.709986\pi\)
0.790182 + 0.612873i \(0.209986\pi\)
\(20\) 2.50515e7 + 1.30574e7i 1.75053 + 0.912417i
\(21\) 4.78882e6 + 4.78882e6i 0.255872 + 0.255872i
\(22\) 1.80783e7 2.46424e7i 0.747882 1.01943i
\(23\) 1.46860e7i 0.475775i 0.971293 + 0.237888i \(0.0764550\pi\)
−0.971293 + 0.237888i \(0.923545\pi\)
\(24\) −3.61290e7 1.22954e7i −0.926177 0.315195i
\(25\) 1.41448e8i 2.89686i
\(26\) −3.43603e7 2.52077e7i −0.567158 0.416083i
\(27\) −5.37895e7 5.37895e7i −0.721434 0.721434i
\(28\) 1.01122e7 + 3.21296e7i 0.111039 + 0.352807i
\(29\) 5.83665e7 5.83665e7i 0.528414 0.528414i −0.391685 0.920099i \(-0.628108\pi\)
0.920099 + 0.391685i \(0.128108\pi\)
\(30\) −3.90375e7 2.54067e8i −0.293302 1.90889i
\(31\) 8.50845e7 0.533778 0.266889 0.963727i \(-0.414004\pi\)
0.266889 + 0.963727i \(0.414004\pi\)
\(32\) −1.31081e8 1.37283e8i −0.690580 0.723256i
\(33\) −2.78088e8 −1.23696
\(34\) 3.98938e7 + 2.59640e8i 0.150582 + 0.980026i
\(35\) −1.60422e8 + 1.60422e8i −0.516284 + 0.516284i
\(36\) −4.66684e6 1.48280e7i −0.0128635 0.0408714i
\(37\) 2.52847e7 + 2.52847e7i 0.0599443 + 0.0599443i 0.736443 0.676499i \(-0.236504\pi\)
−0.676499 + 0.736443i \(0.736504\pi\)
\(38\) −9.87525e7 7.24475e7i −0.202180 0.148325i
\(39\) 3.87755e8i 0.688180i
\(40\) 4.11885e8 1.21029e9i 0.635984 1.86879i
\(41\) 9.24887e8i 1.24674i 0.781925 + 0.623372i \(0.214238\pi\)
−0.781925 + 0.623372i \(0.785762\pi\)
\(42\) 1.81291e8 2.47116e8i 0.214045 0.291762i
\(43\) 1.00305e9 + 1.00305e9i 1.04051 + 1.04051i 0.999144 + 0.0413672i \(0.0131714\pi\)
0.0413672 + 0.999144i \(0.486829\pi\)
\(44\) −1.22650e9 6.39280e8i −1.12119 0.584388i
\(45\) 7.40356e7 7.40356e7i 0.0598097 0.0598097i
\(46\) 6.56906e8 1.00934e8i 0.470257 0.0722551i
\(47\) −2.86182e9 −1.82014 −0.910068 0.414459i \(-0.863971\pi\)
−0.910068 + 0.414459i \(0.863971\pi\)
\(48\) −3.01664e8 + 1.70055e9i −0.170882 + 0.963302i
\(49\) 1.70682e9 0.863198
\(50\) 6.32696e9 9.72141e8i 2.86326 0.439941i
\(51\) 1.69011e9 1.69011e9i 0.685931 0.685931i
\(52\) −8.91387e8 + 1.71018e9i −0.325123 + 0.623769i
\(53\) 2.34993e9 + 2.34993e9i 0.771858 + 0.771858i 0.978431 0.206574i \(-0.0662313\pi\)
−0.206574 + 0.978431i \(0.566231\pi\)
\(54\) −2.03631e9 + 2.77568e9i −0.603503 + 0.822629i
\(55\) 9.31574e9i 2.49587i
\(56\) 1.36766e9 6.73138e8i 0.331851 0.163331i
\(57\) 1.11442e9i 0.245322i
\(58\) −3.01187e9 2.20959e9i −0.602535 0.442036i
\(59\) −5.55716e8 5.55716e8i −0.101197 0.101197i 0.654696 0.755893i \(-0.272797\pi\)
−0.755893 + 0.654696i \(0.772797\pi\)
\(60\) −1.10961e10 + 3.49228e9i −1.84220 + 0.579799i
\(61\) −2.31483e9 + 2.31483e9i −0.350918 + 0.350918i −0.860451 0.509533i \(-0.829818\pi\)
0.509533 + 0.860451i \(0.329818\pi\)
\(62\) −5.84766e8 3.80582e9i −0.0810640 0.527587i
\(63\) 1.24839e8 0.0158481
\(64\) −5.23977e9 + 6.80675e9i −0.609989 + 0.792410i
\(65\) −1.29895e10 −1.38857
\(66\) 1.91124e9 + 1.24389e10i 0.187855 + 1.22261i
\(67\) 1.02227e10 1.02227e10i 0.925025 0.925025i −0.0723539 0.997379i \(-0.523051\pi\)
0.997379 + 0.0723539i \(0.0230511\pi\)
\(68\) 1.13395e10 3.56889e9i 0.945790 0.297670i
\(69\) −4.27609e9 4.27609e9i −0.329137 0.329137i
\(70\) 8.27819e9 + 6.07311e9i 0.588703 + 0.431888i
\(71\) 1.39591e9i 0.0918200i −0.998946 0.0459100i \(-0.985381\pi\)
0.998946 0.0459100i \(-0.0146187\pi\)
\(72\) −6.31182e8 + 3.10657e8i −0.0384438 + 0.0189214i
\(73\) 2.22133e10i 1.25411i 0.778974 + 0.627057i \(0.215741\pi\)
−0.778974 + 0.627057i \(0.784259\pi\)
\(74\) 9.57205e8 1.30476e9i 0.0501453 0.0683526i
\(75\) −4.11850e10 4.11850e10i −2.00402 2.00402i
\(76\) −2.56187e9 + 4.91511e9i −0.115900 + 0.222361i
\(77\) 7.85409e9 7.85409e9i 0.330671 0.330671i
\(78\) 1.73443e10 2.66495e9i 0.680198 0.104513i
\(79\) 3.84124e10 1.40450 0.702251 0.711929i \(-0.252178\pi\)
0.702251 + 0.711929i \(0.252178\pi\)
\(80\) −5.69671e10 1.01055e10i −1.94370 0.344797i
\(81\) 2.99788e10 0.955316
\(82\) 4.13701e10 6.35654e9i 1.23228 0.189341i
\(83\) −4.10961e9 + 4.10961e9i −0.114517 + 0.114517i −0.762043 0.647526i \(-0.775804\pi\)
0.647526 + 0.762043i \(0.275804\pi\)
\(84\) −1.22994e10 6.41075e9i −0.320885 0.167253i
\(85\) 5.66175e10 + 5.66175e10i 1.38403 + 1.38403i
\(86\) 3.79727e10 5.17602e10i 0.870421 1.18646i
\(87\) 3.39888e10i 0.731106i
\(88\) −2.01655e10 + 5.92548e10i −0.407337 + 1.19693i
\(89\) 1.47623e10i 0.280227i 0.990135 + 0.140114i \(0.0447468\pi\)
−0.990135 + 0.140114i \(0.955253\pi\)
\(90\) −3.82044e9 2.80278e9i −0.0681992 0.0500328i
\(91\) −1.09514e10 1.09514e10i −0.183968 0.183968i
\(92\) −9.02952e9 2.86896e10i −0.142834 0.453829i
\(93\) −2.47738e10 + 2.47738e10i −0.369263 + 0.369263i
\(94\) 1.96686e10 + 1.28009e11i 0.276421 + 1.79902i
\(95\) −3.73322e10 −0.494998
\(96\) 7.81387e10 + 1.80590e9i 0.978080 + 0.0226048i
\(97\) −9.56623e10 −1.13109 −0.565544 0.824718i \(-0.691334\pi\)
−0.565544 + 0.824718i \(0.691334\pi\)
\(98\) −1.17306e10 7.63461e10i −0.131092 0.853185i
\(99\) −3.62471e9 + 3.62471e9i −0.0383071 + 0.0383071i
\(100\) −8.69675e10 2.76323e11i −0.869675 2.76323i
\(101\) −6.71598e9 6.71598e9i −0.0635831 0.0635831i 0.674600 0.738183i \(-0.264316\pi\)
−0.738183 + 0.674600i \(0.764316\pi\)
\(102\) −8.72144e10 6.39829e10i −0.782145 0.573803i
\(103\) 1.06230e11i 0.902908i 0.892294 + 0.451454i \(0.149095\pi\)
−0.892294 + 0.451454i \(0.850905\pi\)
\(104\) 8.26226e10 + 2.81180e10i 0.665910 + 0.226621i
\(105\) 9.34190e10i 0.714322i
\(106\) 8.89615e10 1.21263e11i 0.645684 0.880125i
\(107\) 7.29036e10 + 7.29036e10i 0.502502 + 0.502502i 0.912215 0.409712i \(-0.134371\pi\)
−0.409712 + 0.912215i \(0.634371\pi\)
\(108\) 1.38151e11 + 7.20076e10i 0.904740 + 0.471571i
\(109\) −8.14448e10 + 8.14448e10i −0.507011 + 0.507011i −0.913608 0.406596i \(-0.866716\pi\)
0.406596 + 0.913608i \(0.366716\pi\)
\(110\) −4.16692e11 + 6.40249e10i −2.46692 + 0.379044i
\(111\) −1.47241e10 −0.0829379
\(112\) −3.95090e10 5.65489e10i −0.211835 0.303197i
\(113\) −7.80734e10 −0.398631 −0.199316 0.979935i \(-0.563872\pi\)
−0.199316 + 0.979935i \(0.563872\pi\)
\(114\) 4.98478e10 7.65914e9i 0.242476 0.0372566i
\(115\) 1.43246e11 1.43246e11i 0.664116 0.664116i
\(116\) −7.81348e10 + 1.49907e11i −0.345403 + 0.662677i
\(117\) 5.05415e9 + 5.05415e9i 0.0213121 + 0.0213121i
\(118\) −2.10378e10 + 2.86764e10i −0.0846545 + 0.115392i
\(119\) 9.54684e10i 0.366734i
\(120\) 2.32470e11 + 4.72325e11i 0.852847 + 1.73278i
\(121\) 1.70778e11i 0.598565i
\(122\) 1.19451e11 + 8.76329e10i 0.400140 + 0.293554i
\(123\) −2.69297e11 2.69297e11i −0.862488 0.862488i
\(124\) −1.66215e11 + 5.23131e10i −0.509156 + 0.160247i
\(125\) 9.03404e11 9.03404e11i 2.64775 2.64775i
\(126\) −8.57988e8 5.58402e9i −0.00240682 0.0156642i
\(127\) 9.32872e10 0.250554 0.125277 0.992122i \(-0.460018\pi\)
0.125277 + 0.992122i \(0.460018\pi\)
\(128\) 3.40477e11 + 1.87593e11i 0.875856 + 0.482572i
\(129\) −5.84111e11 −1.43963
\(130\) 8.92739e10 + 5.81019e11i 0.210880 + 1.37247i
\(131\) 7.57223e10 7.57223e10i 0.171487 0.171487i −0.616145 0.787632i \(-0.711307\pi\)
0.787632 + 0.616145i \(0.211307\pi\)
\(132\) 5.43253e11 1.70979e11i 1.17990 0.371352i
\(133\) −3.14747e10 3.14747e10i −0.0655809 0.0655809i
\(134\) −5.27518e11 3.87002e11i −1.05478 0.773814i
\(135\) 1.04931e12i 2.01404i
\(136\) −2.37570e11 4.82687e11i −0.437853 0.889613i
\(137\) 2.64100e11i 0.467525i −0.972294 0.233762i \(-0.924896\pi\)
0.972294 0.233762i \(-0.0751038\pi\)
\(138\) −1.61881e11 + 2.20658e11i −0.275334 + 0.375305i
\(139\) 2.24899e10 + 2.24899e10i 0.0367625 + 0.0367625i 0.725249 0.688487i \(-0.241725\pi\)
−0.688487 + 0.725249i \(0.741725\pi\)
\(140\) 2.14755e11 4.12022e11i 0.337474 0.647464i
\(141\) 8.33267e11 8.33267e11i 1.25916 1.25916i
\(142\) −6.24390e10 + 9.59379e9i −0.0907549 + 0.0139445i
\(143\) 6.35953e11 0.889359
\(144\) 1.82336e10 + 2.60976e10i 0.0245403 + 0.0351243i
\(145\) −1.13860e12 −1.47519
\(146\) 9.93598e11 1.52667e11i 1.23957 0.190460i
\(147\) −4.96971e11 + 4.96971e11i −0.597153 + 0.597153i
\(148\) −6.49403e10 3.38484e10i −0.0751752 0.0391831i
\(149\) −5.86301e11 5.86301e11i −0.654028 0.654028i 0.299933 0.953960i \(-0.403036\pi\)
−0.953960 + 0.299933i \(0.903036\pi\)
\(150\) −1.55915e12 + 2.12526e12i −1.67643 + 2.28512i
\(151\) 9.25928e11i 0.959852i 0.877309 + 0.479926i \(0.159336\pi\)
−0.877309 + 0.479926i \(0.840664\pi\)
\(152\) 2.37459e11 + 8.08117e10i 0.237383 + 0.0807857i
\(153\) 4.40592e10i 0.0424849i
\(154\) −4.05292e11 2.97333e11i −0.377054 0.276617i
\(155\) −8.29903e11 8.29903e11i −0.745080 0.745080i
\(156\) −2.38406e11 7.57491e11i −0.206601 0.656436i
\(157\) −6.13818e11 + 6.13818e11i −0.513560 + 0.513560i −0.915615 0.402055i \(-0.868296\pi\)
0.402055 + 0.915615i \(0.368296\pi\)
\(158\) −2.64000e11 1.71818e12i −0.213299 1.38821i
\(159\) −1.36844e12 −1.06793
\(160\) −6.04961e10 + 2.61759e12i −0.0456108 + 1.97352i
\(161\) 2.41541e11 0.175974
\(162\) −2.06038e11 1.34095e12i −0.145082 0.944235i
\(163\) 1.92844e12 1.92844e12i 1.31272 1.31272i 0.393325 0.919399i \(-0.371325\pi\)
0.919399 0.393325i \(-0.128675\pi\)
\(164\) −5.68655e11 1.80679e12i −0.374289 1.18923i
\(165\) 2.71244e12 + 2.71244e12i 1.72662 + 1.72662i
\(166\) 2.12067e11 + 1.55578e11i 0.130580 + 0.0957974i
\(167\) 5.92600e11i 0.353038i 0.984297 + 0.176519i \(0.0564837\pi\)
−0.984297 + 0.176519i \(0.943516\pi\)
\(168\) −2.02221e11 + 5.94212e11i −0.116580 + 0.342563i
\(169\) 9.05412e11i 0.505207i
\(170\) 2.14338e12 2.92162e12i 1.15779 1.57817i
\(171\) 1.45258e10 + 1.45258e10i 0.00759732 + 0.00759732i
\(172\) −2.57620e12 1.34278e12i −1.30489 0.680139i
\(173\) −1.88219e12 + 1.88219e12i −0.923441 + 0.923441i −0.997271 0.0738298i \(-0.976478\pi\)
0.0738298 + 0.997271i \(0.476478\pi\)
\(174\) 1.52032e12 2.33597e11i 0.722625 0.111032i
\(175\) 2.32639e12 1.07145
\(176\) 2.78905e12 + 4.94755e11i 1.24491 + 0.220837i
\(177\) 3.23613e11 0.140014
\(178\) 6.60318e11 1.01458e11i 0.276977 0.0425576i
\(179\) −1.56075e12 + 1.56075e12i −0.634806 + 0.634806i −0.949270 0.314463i \(-0.898175\pi\)
0.314463 + 0.949270i \(0.398175\pi\)
\(180\) −9.91109e10 + 1.90151e11i −0.0390951 + 0.0750065i
\(181\) 1.26985e12 + 1.26985e12i 0.485869 + 0.485869i 0.907000 0.421131i \(-0.138367\pi\)
−0.421131 + 0.907000i \(0.638367\pi\)
\(182\) −4.14590e11 + 5.65123e11i −0.153896 + 0.209774i
\(183\) 1.34801e12i 0.485524i
\(184\) −1.22123e12 + 6.01067e11i −0.426873 + 0.210099i
\(185\) 4.93247e11i 0.167348i
\(186\) 1.27839e12 + 9.37865e11i 0.421060 + 0.308901i
\(187\) −2.77194e12 2.77194e12i −0.886451 0.886451i
\(188\) 5.59065e12 1.75955e12i 1.73618 0.546429i
\(189\) −8.84673e11 + 8.84673e11i −0.266835 + 0.266835i
\(190\) 2.56575e11 + 1.66986e12i 0.0751744 + 0.489256i
\(191\) 9.87202e11 0.281011 0.140505 0.990080i \(-0.455127\pi\)
0.140505 + 0.990080i \(0.455127\pi\)
\(192\) −4.56252e11 3.50755e12i −0.126197 0.970168i
\(193\) −2.65642e12 −0.714056 −0.357028 0.934094i \(-0.616210\pi\)
−0.357028 + 0.934094i \(0.616210\pi\)
\(194\) 6.57465e11 + 4.27897e12i 0.171776 + 1.11797i
\(195\) 3.78212e12 3.78212e12i 0.960604 0.960604i
\(196\) −3.33433e12 + 1.04942e12i −0.823380 + 0.259144i
\(197\) −2.91004e12 2.91004e12i −0.698771 0.698771i 0.265375 0.964145i \(-0.414504\pi\)
−0.964145 + 0.265375i \(0.914504\pi\)
\(198\) 1.87045e11 + 1.37221e11i 0.0436804 + 0.0320452i
\(199\) 4.90265e12i 1.11363i 0.830638 + 0.556813i \(0.187976\pi\)
−0.830638 + 0.556813i \(0.812024\pi\)
\(200\) −1.17622e13 + 5.78916e12i −2.59910 + 1.27923i
\(201\) 5.95302e12i 1.27985i
\(202\) −2.54248e11 + 3.46562e11i −0.0531893 + 0.0725018i
\(203\) −9.59952e11 9.59952e11i −0.195443 0.195443i
\(204\) −2.26254e12 + 4.34083e12i −0.448365 + 0.860216i
\(205\) 9.02123e12 9.02123e12i 1.74028 1.74028i
\(206\) 4.75167e12 7.30097e11i 0.892435 0.137123i
\(207\) −1.11473e11 −0.0203860
\(208\) 6.89868e11 3.88895e12i 0.122862 0.692602i
\(209\) 1.82775e12 0.317038
\(210\) −4.17863e12 + 6.42048e11i −0.706037 + 0.108483i
\(211\) −2.11785e12 + 2.11785e12i −0.348611 + 0.348611i −0.859592 0.510981i \(-0.829282\pi\)
0.510981 + 0.859592i \(0.329282\pi\)
\(212\) −6.03548e12 3.14583e12i −0.967975 0.504531i
\(213\) 4.06444e11 + 4.06444e11i 0.0635203 + 0.0635203i
\(214\) 2.75992e12 3.76202e12i 0.420359 0.572988i
\(215\) 1.95673e13i 2.90482i
\(216\) 2.27141e12 6.67438e12i 0.328700 0.965862i
\(217\) 1.39938e12i 0.197427i
\(218\) 4.20277e12 + 3.08327e12i 0.578129 + 0.424132i
\(219\) −6.46777e12 6.46777e12i −0.867585 0.867585i
\(220\) 5.72766e12 + 1.81986e13i 0.749294 + 2.38074i
\(221\) −3.86508e12 + 3.86508e12i −0.493175 + 0.493175i
\(222\) 1.01196e11 + 6.58609e11i 0.0125956 + 0.0819759i
\(223\) −1.24041e13 −1.50622 −0.753110 0.657894i \(-0.771447\pi\)
−0.753110 + 0.657894i \(0.771447\pi\)
\(224\) −2.25789e12 + 2.15588e12i −0.267509 + 0.255423i
\(225\) −1.07364e12 −0.124124
\(226\) 5.36580e11 + 3.49221e12i 0.0605394 + 0.394008i
\(227\) −2.26312e12 + 2.26312e12i −0.249210 + 0.249210i −0.820646 0.571436i \(-0.806386\pi\)
0.571436 + 0.820646i \(0.306386\pi\)
\(228\) −6.85185e11 2.17705e12i −0.0736489 0.234006i
\(229\) 2.38743e12 + 2.38743e12i 0.250516 + 0.250516i 0.821182 0.570666i \(-0.193315\pi\)
−0.570666 + 0.821182i \(0.693315\pi\)
\(230\) −7.39187e12 5.42288e12i −0.757271 0.555555i
\(231\) 4.57370e12i 0.457512i
\(232\) 7.24231e12 + 2.46469e12i 0.707446 + 0.240757i
\(233\) 3.00078e12i 0.286271i −0.989703 0.143135i \(-0.954282\pi\)
0.989703 0.143135i \(-0.0457184\pi\)
\(234\) 1.91336e11 2.60808e11i 0.0178283 0.0243015i
\(235\) 2.79138e13 + 2.79138e13i 2.54066 + 2.54066i
\(236\) 1.42728e12 + 7.43933e11i 0.126909 + 0.0661482i
\(237\) −1.11844e13 + 1.11844e13i −0.971624 + 0.971624i
\(238\) 4.27029e12 6.56132e11i 0.362480 0.0556953i
\(239\) 1.56710e13 1.29989 0.649947 0.759980i \(-0.274791\pi\)
0.649947 + 0.759980i \(0.274791\pi\)
\(240\) 1.95293e13 1.36446e13i 1.58316 1.10611i
\(241\) 1.45177e13 1.15029 0.575143 0.818053i \(-0.304947\pi\)
0.575143 + 0.818053i \(0.304947\pi\)
\(242\) 7.63887e12 1.17372e12i 0.591622 0.0909030i
\(243\) 7.99789e11 7.99789e11i 0.0605537 0.0605537i
\(244\) 3.09885e12 5.94533e12i 0.229380 0.440081i
\(245\) −1.66482e13 1.66482e13i −1.20490 1.20490i
\(246\) −1.01948e13 + 1.38964e13i −0.721499 + 0.983468i
\(247\) 2.54854e12i 0.176383i
\(248\) 3.48232e12 + 7.07525e12i 0.235713 + 0.478914i
\(249\) 2.39317e12i 0.158444i
\(250\) −4.66181e13 3.42003e13i −3.01915 2.21493i
\(251\) 1.54759e13 + 1.54759e13i 0.980507 + 0.980507i 0.999814 0.0193070i \(-0.00614600\pi\)
−0.0193070 + 0.999814i \(0.506146\pi\)
\(252\) −2.43876e11 + 7.67554e10i −0.0151170 + 0.00475780i
\(253\) −7.01318e12 + 7.01318e12i −0.425355 + 0.425355i
\(254\) −6.41141e11 4.17273e12i −0.0380512 0.247648i
\(255\) −3.29703e13 −1.91493
\(256\) 6.05101e12 1.65188e13i 0.343960 0.938984i
\(257\) 1.62238e13 0.902654 0.451327 0.892359i \(-0.350951\pi\)
0.451327 + 0.892359i \(0.350951\pi\)
\(258\) 4.01446e12 + 2.61273e13i 0.218635 + 1.42294i
\(259\) 4.15856e11 4.15856e11i 0.0221715 0.0221715i
\(260\) 2.53754e13 7.98643e12i 1.32452 0.416869i
\(261\) 4.43024e11 + 4.43024e11i 0.0226414 + 0.0226414i
\(262\) −3.90747e12 2.86663e12i −0.195542 0.143455i
\(263\) 3.73684e12i 0.183125i 0.995799 + 0.0915626i \(0.0291862\pi\)
−0.995799 + 0.0915626i \(0.970814\pi\)
\(264\) −1.13815e13 2.31246e13i −0.546234 1.10982i
\(265\) 4.58418e13i 2.15481i
\(266\) −1.19154e12 + 1.62418e12i −0.0548606 + 0.0747799i
\(267\) −4.29831e12 4.29831e12i −0.193859 0.193859i
\(268\) −1.36850e13 + 2.62556e13i −0.604651 + 1.16006i
\(269\) −9.41768e12 + 9.41768e12i −0.407668 + 0.407668i −0.880925 0.473257i \(-0.843078\pi\)
0.473257 + 0.880925i \(0.343078\pi\)
\(270\) 4.69356e13 7.21168e12i 1.99068 0.305869i
\(271\) 2.56747e13 1.06703 0.533513 0.845792i \(-0.320872\pi\)
0.533513 + 0.845792i \(0.320872\pi\)
\(272\) −1.99578e13 + 1.39439e13i −0.812798 + 0.567878i
\(273\) 6.37740e12 0.254536
\(274\) −1.18132e13 + 1.81510e12i −0.462102 + 0.0710022i
\(275\) −6.75472e13 + 6.75472e13i −2.58987 + 2.58987i
\(276\) 1.09826e13 + 5.72438e12i 0.412766 + 0.215144i
\(277\) 5.89614e12 + 5.89614e12i 0.217235 + 0.217235i 0.807332 0.590097i \(-0.200911\pi\)
−0.590097 + 0.807332i \(0.700911\pi\)
\(278\) 8.51402e11 1.16054e12i 0.0307530 0.0419192i
\(279\) 6.45823e11i 0.0228713i
\(280\) −1.99057e13 6.77426e12i −0.691206 0.235230i
\(281\) 4.45719e13i 1.51767i 0.651285 + 0.758833i \(0.274230\pi\)
−0.651285 + 0.758833i \(0.725770\pi\)
\(282\) −4.29988e13 3.15451e13i −1.43578 1.05332i
\(283\) −2.16962e13 2.16962e13i −0.710490 0.710490i 0.256147 0.966638i \(-0.417547\pi\)
−0.966638 + 0.256147i \(0.917547\pi\)
\(284\) 8.58258e11 + 2.72696e12i 0.0275656 + 0.0875845i
\(285\) 1.08699e13 1.08699e13i 0.342435 0.342435i
\(286\) −4.37076e12 2.84461e13i −0.135065 0.879043i
\(287\) 1.52116e13 0.461131
\(288\) 1.04203e12 9.94952e11i 0.0309900 0.0295899i
\(289\) −5.78287e11 −0.0168735
\(290\) 7.82533e12 + 5.09294e13i 0.224034 + 1.45808i
\(291\) 2.78537e13 2.78537e13i 0.782477 0.782477i
\(292\) −1.36575e13 4.33943e13i −0.376502 1.19626i
\(293\) −2.92892e13 2.92892e13i −0.792383 0.792383i 0.189498 0.981881i \(-0.439314\pi\)
−0.981881 + 0.189498i \(0.939314\pi\)
\(294\) 2.56450e13 + 1.88139e13i 0.680915 + 0.499538i
\(295\) 1.08408e13i 0.282514i
\(296\) −1.06772e12 + 3.13741e12i −0.0273119 + 0.0802539i
\(297\) 5.13733e13i 1.28996i
\(298\) −2.21957e13 + 3.02547e13i −0.547116 + 0.745768i
\(299\) 9.77890e12 + 9.77890e12i 0.236646 + 0.236646i
\(300\) 1.05778e14 + 5.51341e13i 2.51322 + 1.30995i
\(301\) 1.64972e13 1.64972e13i 0.384852 0.384852i
\(302\) 4.14167e13 6.36369e12i 0.948718 0.145771i
\(303\) 3.91094e12 0.0879725
\(304\) 1.98270e12 1.11769e13i 0.0437977 0.246898i
\(305\) 4.51571e13 0.979664
\(306\) −1.97077e12 + 3.02809e11i −0.0419921 + 0.00645210i
\(307\) 6.21960e13 6.21960e13i 1.30167 1.30167i 0.374406 0.927265i \(-0.377847\pi\)
0.927265 0.374406i \(-0.122153\pi\)
\(308\) −1.05142e13 + 2.01722e13i −0.216146 + 0.414690i
\(309\) −3.09308e13 3.09308e13i −0.624625 0.624625i
\(310\) −3.14178e13 + 4.28252e13i −0.623284 + 0.849592i
\(311\) 6.41499e13i 1.25030i −0.780505 0.625150i \(-0.785038\pi\)
0.780505 0.625150i \(-0.214962\pi\)
\(312\) −3.22440e13 + 1.58700e13i −0.617446 + 0.303896i
\(313\) 1.54374e13i 0.290456i 0.989398 + 0.145228i \(0.0463916\pi\)
−0.989398 + 0.145228i \(0.953608\pi\)
\(314\) 3.16746e13 + 2.32374e13i 0.585597 + 0.429610i
\(315\) −1.21766e12 1.21766e12i −0.0221217 0.0221217i
\(316\) −7.50398e13 + 2.36174e13i −1.33972 + 0.421651i
\(317\) −5.18012e13 + 5.18012e13i −0.908895 + 0.908895i −0.996183 0.0872885i \(-0.972180\pi\)
0.0872885 + 0.996183i \(0.472180\pi\)
\(318\) 9.40500e12 + 6.12103e13i 0.162185 + 1.05554i
\(319\) 5.57447e13 0.944832
\(320\) 1.17500e14 1.52841e13i 1.95755 0.254633i
\(321\) −4.24542e13 −0.695254
\(322\) −1.66006e12 1.08041e13i −0.0267249 0.173933i
\(323\) −1.11083e13 + 1.11083e13i −0.175807 + 0.175807i
\(324\) −5.85646e13 + 1.84321e13i −0.911249 + 0.286799i
\(325\) 9.41851e13 + 9.41851e13i 1.44087 + 1.44087i
\(326\) −9.95125e13 7.30051e13i −1.49686 1.09814i
\(327\) 4.74281e13i 0.701493i
\(328\) −7.69095e13 + 3.78536e13i −1.11860 + 0.550555i
\(329\) 4.70682e13i 0.673210i
\(330\) 1.02685e14 1.39969e14i 1.44438 1.96882i
\(331\) 3.29569e12 + 3.29569e12i 0.0455924 + 0.0455924i 0.729535 0.683943i \(-0.239736\pi\)
−0.683943 + 0.729535i \(0.739736\pi\)
\(332\) 5.50150e12 1.05550e13i 0.0748552 0.143614i
\(333\) −1.91920e11 + 1.91920e11i −0.00256849 + 0.00256849i
\(334\) 2.65070e13 4.07281e12i 0.348943 0.0536152i
\(335\) −1.99422e14 −2.58241
\(336\) 2.79689e13 + 4.96145e12i 0.356295 + 0.0632037i
\(337\) −3.67883e12 −0.0461048 −0.0230524 0.999734i \(-0.507338\pi\)
−0.0230524 + 0.999734i \(0.507338\pi\)
\(338\) 4.04990e13 6.22269e12i 0.499347 0.0767249i
\(339\) 2.27324e13 2.27324e13i 0.275770 0.275770i
\(340\) −1.45415e14 7.57935e13i −1.73570 0.904686i
\(341\) 4.06312e13 + 4.06312e13i 0.477212 + 0.477212i
\(342\) 5.49904e11 7.49568e11i 0.00635540 0.00866299i
\(343\) 6.05931e13i 0.689137i
\(344\) −4.23567e13 + 1.24462e14i −0.474079 + 1.39305i
\(345\) 8.34170e13i 0.918860i
\(346\) 9.71259e13 + 7.12542e13i 1.05297 + 0.772488i
\(347\) −6.36528e11 6.36528e11i −0.00679212 0.00679212i 0.703703 0.710495i \(-0.251529\pi\)
−0.710495 + 0.703703i \(0.751529\pi\)
\(348\) −2.08976e13 6.63982e13i −0.219488 0.697381i
\(349\) −3.62572e13 + 3.62572e13i −0.374847 + 0.374847i −0.869239 0.494392i \(-0.835391\pi\)
0.494392 + 0.869239i \(0.335391\pi\)
\(350\) −1.59888e13 1.04059e14i −0.162720 1.05903i
\(351\) −7.16329e13 −0.717667
\(352\) 2.96183e12 1.28155e14i 0.0292130 1.26401i
\(353\) −1.11210e14 −1.07990 −0.539949 0.841698i \(-0.681557\pi\)
−0.539949 + 0.841698i \(0.681557\pi\)
\(354\) −2.22412e12 1.44752e13i −0.0212637 0.138390i
\(355\) −1.36156e13 + 1.36156e13i −0.128168 + 0.128168i
\(356\) −9.07643e12 2.88387e13i −0.0841279 0.267301i
\(357\) −2.77973e13 2.77973e13i −0.253704 0.253704i
\(358\) 8.05388e13 + 5.90855e13i 0.723850 + 0.531036i
\(359\) 4.35968e13i 0.385865i 0.981212 + 0.192933i \(0.0617999\pi\)
−0.981212 + 0.192933i \(0.938200\pi\)
\(360\) 9.18659e12 + 3.12636e12i 0.0800738 + 0.0272506i
\(361\) 1.09166e14i 0.937123i
\(362\) 4.80728e13 6.55275e13i 0.406445 0.554021i
\(363\) −4.97248e13 4.97248e13i −0.414083 0.414083i
\(364\) 2.81273e13 + 1.46606e13i 0.230712 + 0.120253i
\(365\) 2.16665e14 2.16665e14i 1.75057 1.75057i
\(366\) −6.02962e13 + 9.26453e12i −0.479892 + 0.0737357i
\(367\) 2.04459e14 1.60304 0.801519 0.597970i \(-0.204026\pi\)
0.801519 + 0.597970i \(0.204026\pi\)
\(368\) 3.52789e13 + 5.04944e13i 0.272491 + 0.390014i
\(369\) −7.02024e12 −0.0534204
\(370\) −2.20629e13 + 3.38997e12i −0.165407 + 0.0254148i
\(371\) 3.86492e13 3.86492e13i 0.285485 0.285485i
\(372\) 3.31645e13 6.36282e13i 0.241372 0.463088i
\(373\) 8.29755e12 + 8.29755e12i 0.0595047 + 0.0595047i 0.736233 0.676728i \(-0.236603\pi\)
−0.676728 + 0.736233i \(0.736603\pi\)
\(374\) −1.04938e14 + 1.43040e14i −0.741545 + 1.01079i
\(375\) 5.26083e14i 3.66338i
\(376\) −1.17128e14 2.37976e14i −0.803761 1.63305i
\(377\) 7.77282e13i 0.525656i
\(378\) 4.56515e13 + 3.34912e13i 0.304264 + 0.223216i
\(379\) 1.44461e13 + 1.44461e13i 0.0948932 + 0.0948932i 0.752960 0.658067i \(-0.228625\pi\)
−0.658067 + 0.752960i \(0.728625\pi\)
\(380\) 7.29295e13 2.29532e13i 0.472164 0.148605i
\(381\) −2.71622e13 + 2.71622e13i −0.173331 + 0.173331i
\(382\) −6.78482e12 4.41575e13i −0.0426766 0.277751i
\(383\) 2.01776e14 1.25105 0.625526 0.780203i \(-0.284884\pi\)
0.625526 + 0.780203i \(0.284884\pi\)
\(384\) −1.53757e14 + 4.45147e13i −0.939750 + 0.272071i
\(385\) −1.53216e14 −0.923143
\(386\) 1.82570e13 + 1.18822e14i 0.108442 + 0.705773i
\(387\) −7.61354e12 + 7.61354e12i −0.0445837 + 0.0445837i
\(388\) 1.86879e14 5.88167e13i 1.07891 0.339568i
\(389\) 1.86952e14 + 1.86952e14i 1.06416 + 1.06416i 0.997796 + 0.0663626i \(0.0211394\pi\)
0.0663626 + 0.997796i \(0.478861\pi\)
\(390\) −1.95167e14 1.43180e14i −1.09535 0.803577i
\(391\) 8.52469e13i 0.471744i
\(392\) 6.98565e13 + 1.41932e14i 0.381183 + 0.774474i
\(393\) 4.40957e13i 0.237267i
\(394\) −1.10166e14 + 1.50166e14i −0.584545 + 0.796787i
\(395\) −3.74670e14 3.74670e14i −1.96049 1.96049i
\(396\) 4.85237e12 9.30958e12i 0.0250398 0.0480404i
\(397\) 1.42061e14 1.42061e14i 0.722980 0.722980i −0.246231 0.969211i \(-0.579192\pi\)
0.969211 + 0.246231i \(0.0791923\pi\)
\(398\) 2.19295e14 3.36948e13i 1.10071 0.169124i
\(399\) 1.83288e13 0.0907367
\(400\) 3.39787e14 + 4.86335e14i 1.65912 + 2.37468i
\(401\) −8.14768e13 −0.392410 −0.196205 0.980563i \(-0.562862\pi\)
−0.196205 + 0.980563i \(0.562862\pi\)
\(402\) 2.66278e14 4.09137e13i 1.26500 0.194369i
\(403\) 5.66546e13 5.66546e13i 0.265496 0.265496i
\(404\) 1.72491e13 + 8.99063e12i 0.0797386 + 0.0415616i
\(405\) −2.92410e14 2.92410e14i −1.33349 1.33349i
\(406\) −3.63410e13 + 4.95361e13i −0.163495 + 0.222858i
\(407\) 2.41489e13i 0.107183i
\(408\) 2.09715e14 + 7.13699e13i 0.918330 + 0.312524i
\(409\) 1.78053e13i 0.0769254i 0.999260 + 0.0384627i \(0.0122461\pi\)
−0.999260 + 0.0384627i \(0.987754\pi\)
\(410\) −4.65520e14 3.41518e14i −1.98439 1.45580i
\(411\) 7.68971e13 + 7.68971e13i 0.323430 + 0.323430i
\(412\) −6.53143e13 2.07524e14i −0.271065 0.861259i
\(413\) −9.13984e12 + 9.13984e12i −0.0374295 + 0.0374295i
\(414\) 7.66126e11 + 4.98616e12i 0.00309598 + 0.0201495i
\(415\) 8.01692e13 0.319700
\(416\) −1.78694e14 4.12986e12i −0.703227 0.0162526i
\(417\) −1.30966e13 −0.0508640
\(418\) −1.25617e13 8.17549e13i −0.0481480 0.313360i
\(419\) −1.09139e14 + 1.09139e14i −0.412860 + 0.412860i −0.882734 0.469874i \(-0.844299\pi\)
0.469874 + 0.882734i \(0.344299\pi\)
\(420\) 5.74375e13 + 1.82497e14i 0.214449 + 0.681372i
\(421\) 1.20556e14 + 1.20556e14i 0.444259 + 0.444259i 0.893440 0.449182i \(-0.148284\pi\)
−0.449182 + 0.893440i \(0.648284\pi\)
\(422\) 1.09287e14 + 8.01756e13i 0.397510 + 0.291624i
\(423\) 2.17223e13i 0.0779890i
\(424\) −9.92323e13 + 2.91587e14i −0.351674 + 1.03337i
\(425\) 8.21053e14i 2.87231i
\(426\) 1.53868e13 2.09736e13i 0.0531368 0.0724302i
\(427\) 3.80719e13 + 3.80719e13i 0.129793 + 0.129793i
\(428\) −1.87243e14 9.75955e13i −0.630181 0.328465i
\(429\) −1.85169e14 + 1.85169e14i −0.615251 + 0.615251i
\(430\) −8.75243e14 + 1.34481e14i −2.87113 + 0.441150i
\(431\) −4.25147e14 −1.37694 −0.688469 0.725265i \(-0.741717\pi\)
−0.688469 + 0.725265i \(0.741717\pi\)
\(432\) −3.14155e14 5.57286e13i −1.00458 0.178204i
\(433\) 1.11943e14 0.353439 0.176719 0.984261i \(-0.443452\pi\)
0.176719 + 0.984261i \(0.443452\pi\)
\(434\) −6.25942e13 + 9.61763e12i −0.195137 + 0.0299830i
\(435\) 3.31523e14 3.31523e14i 1.02052 1.02052i
\(436\) 1.09030e14 2.09180e14i 0.331412 0.635836i
\(437\) 2.81048e13 + 2.81048e13i 0.0843593 + 0.0843593i
\(438\) −2.44851e14 + 3.33755e14i −0.725763 + 0.989281i
\(439\) 1.95428e14i 0.572048i 0.958222 + 0.286024i \(0.0923337\pi\)
−0.958222 + 0.286024i \(0.907666\pi\)
\(440\) 7.74656e14 3.81272e14i 2.23933 1.10216i
\(441\) 1.29554e13i 0.0369862i
\(442\) 1.99449e14 + 1.46321e14i 0.562353 + 0.412557i
\(443\) 2.58061e14 + 2.58061e14i 0.718624 + 0.718624i 0.968323 0.249699i \(-0.0803318\pi\)
−0.249699 + 0.968323i \(0.580332\pi\)
\(444\) 2.87640e13 9.05294e12i 0.0791122 0.0248991i
\(445\) 1.43990e14 1.43990e14i 0.391158 0.391158i
\(446\) 8.52506e13 + 5.54834e14i 0.228747 + 1.48875i
\(447\) 3.41423e14 0.904902
\(448\) 1.11950e14 + 8.61783e13i 0.293087 + 0.225615i
\(449\) −2.05485e14 −0.531404 −0.265702 0.964055i \(-0.585604\pi\)
−0.265702 + 0.964055i \(0.585604\pi\)
\(450\) 7.37891e12 + 4.80240e13i 0.0188505 + 0.122684i
\(451\) −4.41671e14 + 4.41671e14i −1.11462 + 1.11462i
\(452\) 1.52519e14 4.80024e13i 0.380243 0.119674i
\(453\) −2.69600e14 2.69600e14i −0.664018 0.664018i
\(454\) 1.16783e14 + 8.56752e13i 0.284166 + 0.208472i
\(455\) 2.13638e14i 0.513589i
\(456\) −9.26701e13 + 4.56106e13i −0.220107 + 0.108333i
\(457\) 1.38601e14i 0.325259i −0.986687 0.162629i \(-0.948003\pi\)
0.986687 0.162629i \(-0.0519975\pi\)
\(458\) 9.03812e13 1.23198e14i 0.209565 0.285655i
\(459\) 3.12227e14 + 3.12227e14i 0.715321 + 0.715321i
\(460\) −1.91762e14 + 3.67908e14i −0.434105 + 0.832858i
\(461\) 1.43453e14 1.43453e14i 0.320888 0.320888i −0.528219 0.849108i \(-0.677140\pi\)
0.849108 + 0.528219i \(0.177140\pi\)
\(462\) 2.04581e14 3.14340e13i 0.452205 0.0694815i
\(463\) −4.65737e14 −1.01729 −0.508646 0.860976i \(-0.669854\pi\)
−0.508646 + 0.860976i \(0.669854\pi\)
\(464\) 6.04706e13 3.40887e14i 0.130526 0.735803i
\(465\) 4.83281e14 1.03088
\(466\) −1.34225e14 + 2.06237e13i −0.282950 + 0.0434754i
\(467\) 5.02083e13 5.02083e13i 0.104600 0.104600i −0.652870 0.757470i \(-0.726435\pi\)
0.757470 + 0.652870i \(0.226435\pi\)
\(468\) −1.29809e13 6.76596e12i −0.0267272 0.0139308i
\(469\) −1.68132e14 1.68132e14i −0.342137 0.342137i
\(470\) 1.05674e15 1.44043e15i 2.12534 2.89703i
\(471\) 3.57447e14i 0.710553i
\(472\) 2.34667e13 6.89551e13i 0.0461074 0.135483i
\(473\) 9.57995e14i 1.86049i
\(474\) 5.77147e14 + 4.23411e14i 1.10791 + 0.812795i
\(475\) 2.70690e14 + 2.70690e14i 0.513639 + 0.513639i
\(476\) −5.86975e13 1.86500e14i −0.110098 0.349817i
\(477\) −1.78368e13 + 1.78368e13i −0.0330725 + 0.0330725i
\(478\) −1.07703e14 7.00961e14i −0.197412 1.28482i
\(479\) 2.16318e13 0.0391966 0.0195983 0.999808i \(-0.493761\pi\)
0.0195983 + 0.999808i \(0.493761\pi\)
\(480\) −7.44541e14 7.79770e14i −1.33371 1.39682i
\(481\) 3.36723e13 0.0596313
\(482\) −9.97772e13 6.49378e14i −0.174692 1.13694i
\(483\) −7.03288e13 + 7.03288e13i −0.121737 + 0.121737i
\(484\) −1.05000e14 3.33619e14i −0.179697 0.570955i
\(485\) 9.33078e14 + 9.33078e14i 1.57884 + 1.57884i
\(486\) −4.12713e13 3.02777e13i −0.0690476 0.0506552i
\(487\) 5.85834e14i 0.969092i −0.874766 0.484546i \(-0.838985\pi\)
0.874766 0.484546i \(-0.161015\pi\)
\(488\) −2.87232e14 9.77502e13i −0.469812 0.159885i
\(489\) 1.12299e15i 1.81626i
\(490\) −6.30251e14 + 8.59089e14i −1.00794 + 1.37392i
\(491\) −6.67345e14 6.67345e14i −1.05536 1.05536i −0.998375 0.0569895i \(-0.981850\pi\)
−0.0569895 0.998375i \(-0.518150\pi\)
\(492\) 6.91653e14 + 3.60506e14i 1.08163 + 0.563773i
\(493\) −3.38795e14 + 3.38795e14i −0.523937 + 0.523937i
\(494\) −1.13996e14 + 1.75155e13i −0.174337 + 0.0267870i
\(495\) 7.07099e13 0.106943
\(496\) 2.92542e14 2.04390e14i 0.437561 0.305711i
\(497\) −2.29585e13 −0.0339612
\(498\) −1.07046e14 + 1.64477e13i −0.156606 + 0.0240626i
\(499\) −5.33147e14 + 5.33147e14i −0.771426 + 0.771426i −0.978356 0.206930i \(-0.933653\pi\)
0.206930 + 0.978356i \(0.433653\pi\)
\(500\) −1.20938e15 + 2.32027e15i −1.73072 + 3.32050i
\(501\) −1.72546e14 1.72546e14i −0.244229 0.244229i
\(502\) 5.85873e14 7.98598e14i 0.820226 1.11804i
\(503\) 1.51395e14i 0.209646i −0.994491 0.104823i \(-0.966572\pi\)
0.994491 0.104823i \(-0.0334277\pi\)
\(504\) 5.10937e12 + 1.03810e13i 0.00699841 + 0.0142191i
\(505\) 1.31014e14i 0.177506i
\(506\) 3.61899e14 + 2.65499e14i 0.485020 + 0.355824i
\(507\) −2.63626e14 2.63626e14i −0.349498 0.349498i
\(508\) −1.82239e14 + 5.73564e13i −0.238996 + 0.0752197i
\(509\) −1.31667e14 + 1.31667e14i −0.170816 + 0.170816i −0.787338 0.616522i \(-0.788541\pi\)
0.616522 + 0.787338i \(0.288541\pi\)
\(510\) 2.26598e14 + 1.47476e15i 0.290817 + 1.89272i
\(511\) 3.65341e14 0.463856
\(512\) −7.80471e14 1.57131e14i −0.980329 0.197368i
\(513\) −2.05875e14 −0.255833
\(514\) −1.11503e14 7.25691e14i −0.137084 0.892184i
\(515\) 1.03616e15 1.03616e15i 1.26033 1.26033i
\(516\) 1.14108e15 3.59133e14i 1.37323 0.432198i
\(517\) −1.36663e15 1.36663e15i −1.62725 1.62725i
\(518\) −2.14593e13 1.57431e13i −0.0252814 0.0185471i
\(519\) 1.09606e15i 1.27766i
\(520\) −5.31631e14 1.08015e15i −0.613186 1.24585i
\(521\) 6.24091e14i 0.712263i −0.934436 0.356131i \(-0.884096\pi\)
0.934436 0.356131i \(-0.115904\pi\)
\(522\) 1.67716e13 2.28612e13i 0.0189403 0.0258173i
\(523\) 6.36730e14 + 6.36730e14i 0.711535 + 0.711535i 0.966856 0.255321i \(-0.0821812\pi\)
−0.255321 + 0.966856i \(0.582181\pi\)
\(524\) −1.01369e14 + 1.94483e14i −0.112094 + 0.215060i
\(525\) −6.77369e14 + 6.77369e14i −0.741223 + 0.741223i
\(526\) 1.67149e14 2.56825e13i 0.181001 0.0278109i
\(527\) −4.93883e14 −0.529256
\(528\) −9.56138e14 + 6.68025e14i −1.01399 + 0.708444i
\(529\) 7.37130e14 0.773638
\(530\) −2.05050e15 + 3.15060e14i −2.12982 + 0.327248i
\(531\) 4.21809e12 4.21809e12i 0.00433607 0.00433607i
\(532\) 8.08386e13 + 4.21349e13i 0.0822441 + 0.0428675i
\(533\) 6.15848e14 + 6.15848e14i 0.620118 + 0.620118i
\(534\) −1.62722e14 + 2.21804e14i −0.162169 + 0.221051i
\(535\) 1.42218e15i 1.40285i
\(536\) 1.26847e15 + 4.31682e14i 1.23843 + 0.421461i
\(537\) 9.08877e14i 0.878308i
\(538\) 4.85978e14 + 3.56527e14i 0.464851 + 0.341028i
\(539\) 8.15077e14 + 8.15077e14i 0.771721 + 0.771721i
\(540\) −6.45156e14 2.04986e15i −0.604643 1.92114i
\(541\) −1.39317e15 + 1.39317e15i −1.29247 + 1.29247i −0.359209 + 0.933257i \(0.616954\pi\)
−0.933257 + 0.359209i \(0.883046\pi\)
\(542\) −1.76457e14 1.14843e15i −0.162047 1.05465i
\(543\) −7.39475e14 −0.672240
\(544\) 7.60874e14 + 7.96876e14i 0.684729 + 0.717128i
\(545\) 1.58881e15 1.41544
\(546\) −4.38304e13 2.85260e14i −0.0386559 0.251583i
\(547\) 1.56662e12 1.56662e12i 0.00136783 0.00136783i −0.706423 0.707790i \(-0.749692\pi\)
0.707790 + 0.706423i \(0.249692\pi\)
\(548\) 1.62378e14 + 5.15927e14i 0.140357 + 0.445959i
\(549\) −1.75704e13 1.75704e13i −0.0150361 0.0150361i
\(550\) 3.48562e15 + 2.55714e15i 2.95314 + 2.16651i
\(551\) 2.23393e14i 0.187385i
\(552\) 1.80570e14 5.30592e14i 0.149962 0.440652i
\(553\) 6.31768e14i 0.519480i
\(554\) 2.23211e14 3.04257e14i 0.181724 0.247706i
\(555\) 1.43617e14 + 1.43617e14i 0.115770 + 0.115770i
\(556\) −5.77622e13 3.01070e13i −0.0461033 0.0240301i
\(557\) 6.08001e14 6.08001e14i 0.480508 0.480508i −0.424786 0.905294i \(-0.639651\pi\)
0.905294 + 0.424786i \(0.139651\pi\)
\(558\) 2.88876e13 4.43859e12i 0.0226060 0.00347342i
\(559\) 1.33579e15 1.03508
\(560\) −1.66205e14 + 9.36936e14i −0.127529 + 0.718912i
\(561\) 1.61420e15 1.22648
\(562\) 1.99370e15 3.06333e14i 1.50006 0.230485i
\(563\) −1.87402e15 + 1.87402e15i −1.39630 + 1.39630i −0.585960 + 0.810340i \(0.699283\pi\)
−0.810340 + 0.585960i \(0.800717\pi\)
\(564\) −1.11549e15 + 2.14014e15i −0.823058 + 1.57909i
\(565\) 7.61518e14 + 7.61518e14i 0.556434 + 0.556434i
\(566\) −8.21356e14 + 1.11958e15i −0.594348 + 0.810150i
\(567\) 4.93061e14i 0.353341i
\(568\) 1.16078e14 5.71316e13i 0.0823822 0.0405471i
\(569\) 2.24491e15i 1.57791i −0.614453 0.788953i \(-0.710623\pi\)
0.614453 0.788953i \(-0.289377\pi\)
\(570\) −5.60916e14 4.11503e14i −0.390468 0.286458i
\(571\) −1.65127e15 1.65127e15i −1.13846 1.13846i −0.988726 0.149739i \(-0.952157\pi\)
−0.149739 0.988726i \(-0.547843\pi\)
\(572\) −1.24235e15 + 3.91008e14i −0.848334 + 0.266997i
\(573\) −2.87441e14 + 2.87441e14i −0.194401 + 0.194401i
\(574\) −1.04546e14 6.80413e14i −0.0700311 0.455782i
\(575\) −2.07731e15 −1.37825
\(576\) −5.16658e13 3.97718e13i −0.0339531 0.0261368i
\(577\) −1.13891e15 −0.741349 −0.370674 0.928763i \(-0.620873\pi\)
−0.370674 + 0.928763i \(0.620873\pi\)
\(578\) 3.97443e12 + 2.58667e13i 0.00256255 + 0.0166778i
\(579\) 7.73463e14 7.73463e14i 0.493978 0.493978i
\(580\) 2.22429e15 7.00053e14i 1.40714 0.442871i
\(581\) 6.75906e13 + 6.75906e13i 0.0423562 + 0.0423562i
\(582\) −1.43733e15 1.05446e15i −0.892235 0.654568i
\(583\) 2.24437e15i 1.38012i
\(584\) −1.84716e15 + 9.09140e14i −1.12521 + 0.553809i
\(585\) 9.85952e13i 0.0594975i
\(586\) −1.10880e15 + 1.51140e15i −0.662854 + 0.903529i
\(587\) 1.23197e15 + 1.23197e15i 0.729609 + 0.729609i 0.970542 0.240933i \(-0.0774533\pi\)
−0.240933 + 0.970542i \(0.577453\pi\)
\(588\) 6.65292e14 1.27640e15i 0.390334 0.748881i
\(589\) 1.62827e14 1.62827e14i 0.0946437 0.0946437i
\(590\) 4.84907e14 7.45062e13i 0.279237 0.0429048i
\(591\) 1.69462e15 0.966808
\(592\) 1.47674e14 + 2.61962e13i 0.0834708 + 0.0148070i
\(593\) 2.95839e14 0.165674 0.0828371 0.996563i \(-0.473602\pi\)
0.0828371 + 0.996563i \(0.473602\pi\)
\(594\) −2.29792e15 + 3.53077e14i −1.27500 + 0.195904i
\(595\) 9.31187e14 9.31187e14i 0.511910 0.511910i
\(596\) 1.50584e15 + 7.84877e14i 0.820207 + 0.427511i
\(597\) −1.42749e15 1.42749e15i −0.770398 0.770398i
\(598\) 3.70201e14 5.04618e14i 0.197962 0.269840i
\(599\) 8.24594e14i 0.436911i 0.975847 + 0.218455i \(0.0701018\pi\)
−0.975847 + 0.218455i \(0.929898\pi\)
\(600\) 1.73915e15 5.11038e15i 0.913075 2.68300i
\(601\) 2.17617e15i 1.13210i 0.824372 + 0.566048i \(0.191528\pi\)
−0.824372 + 0.566048i \(0.808472\pi\)
\(602\) −8.51297e14 6.24535e14i −0.438834 0.321941i
\(603\) 7.75940e13 + 7.75940e13i 0.0396354 + 0.0396354i
\(604\) −5.69295e14 1.80883e15i −0.288160 0.915576i
\(605\) 1.66574e15 1.66574e15i 0.835514 0.835514i
\(606\) −2.68790e13 1.74936e14i −0.0133602 0.0869521i
\(607\) 1.27606e15 0.628540 0.314270 0.949334i \(-0.398240\pi\)
0.314270 + 0.949334i \(0.398240\pi\)
\(608\) −5.13570e14 1.18693e13i −0.250686 0.00579371i
\(609\) 5.59013e14 0.270412
\(610\) −3.10355e14 2.01988e15i −0.148780 0.968301i
\(611\) −1.90558e15 + 1.90558e15i −0.905317 + 0.905317i
\(612\) 2.70893e13 + 8.60711e13i 0.0127545 + 0.0405251i
\(613\) −2.29249e15 2.29249e15i −1.06973 1.06973i −0.997379 0.0723525i \(-0.976949\pi\)
−0.0723525 0.997379i \(-0.523051\pi\)
\(614\) −3.20948e15 2.35456e15i −1.48425 1.08889i
\(615\) 5.25337e15i 2.40783i
\(616\) 9.74562e14 + 3.31661e14i 0.442706 + 0.150661i
\(617\) 3.32955e15i 1.49905i 0.661974 + 0.749527i \(0.269719\pi\)
−0.661974 + 0.749527i \(0.730281\pi\)
\(618\) −1.17095e15 + 1.59611e15i −0.522519 + 0.712240i
\(619\) 5.88044e14 + 5.88044e14i 0.260083 + 0.260083i 0.825088 0.565005i \(-0.191126\pi\)
−0.565005 + 0.825088i \(0.691126\pi\)
\(620\) 2.13150e15 + 1.11099e15i 0.934395 + 0.487028i
\(621\) 7.89954e14 7.89954e14i 0.343240 0.343240i
\(622\) −2.86942e15 + 4.40888e14i −1.23580 + 0.189881i
\(623\) 2.42796e14 0.103647
\(624\) 9.31467e14 + 1.33320e15i 0.394142 + 0.564132i
\(625\) −1.07167e16 −4.49493
\(626\) 6.90515e14 1.06098e14i 0.287087 0.0441111i
\(627\) −5.32179e14 + 5.32179e14i −0.219324 + 0.219324i
\(628\) 8.21713e14 1.57651e15i 0.335693 0.644048i
\(629\) −1.46768e14 1.46768e14i −0.0594364 0.0594364i
\(630\) −4.60972e13 + 6.28346e13i −0.0185055 + 0.0252247i
\(631\) 2.51383e15i 1.00040i −0.865909 0.500201i \(-0.833259\pi\)
0.865909 0.500201i \(-0.166741\pi\)
\(632\) 1.57213e15 + 3.19421e15i 0.620220 + 1.26014i
\(633\) 1.23329e15i 0.482332i
\(634\) 2.67308e15 + 1.96104e15i 1.03638 + 0.760320i
\(635\) −9.09912e14 9.09912e14i −0.349739 0.349739i
\(636\) 2.67330e15 8.41370e14i 1.01867 0.320607i
\(637\) 1.13651e15 1.13651e15i 0.429346 0.429346i
\(638\) −3.83121e14 2.49346e15i −0.143490 0.933873i
\(639\) 1.05955e13 0.00393429
\(640\) −1.49121e15 5.15073e15i −0.548970 1.89618i
\(641\) 3.20773e15 1.17079 0.585394 0.810749i \(-0.300940\pi\)
0.585394 + 0.810749i \(0.300940\pi\)
\(642\) 2.91778e14 + 1.89897e15i 0.105587 + 0.687190i
\(643\) 1.86386e15 1.86386e15i 0.668733 0.668733i −0.288689 0.957423i \(-0.593219\pi\)
0.957423 + 0.288689i \(0.0932195\pi\)
\(644\) −4.71857e14 + 1.48508e14i −0.167857 + 0.0528297i
\(645\) 5.69735e15 + 5.69735e15i 2.00953 + 2.00953i
\(646\) 5.73221e14 + 4.20530e14i 0.200467 + 0.147068i
\(647\) 1.87463e15i 0.650044i 0.945707 + 0.325022i \(0.105372\pi\)
−0.945707 + 0.325022i \(0.894628\pi\)
\(648\) 1.22697e15 + 2.49291e15i 0.421862 + 0.857124i
\(649\) 5.30754e14i 0.180945i
\(650\) 3.56558e15 4.86021e15i 1.20533 1.64298i
\(651\) 4.07454e14 + 4.07454e14i 0.136579 + 0.136579i
\(652\) −2.58158e15 + 4.95293e15i −0.858074 + 1.64627i
\(653\) 8.43485e14 8.43485e14i 0.278006 0.278006i −0.554306 0.832313i \(-0.687016\pi\)
0.832313 + 0.554306i \(0.187016\pi\)
\(654\) −2.12146e15 + 3.25963e14i −0.693356 + 0.106534i
\(655\) −1.47717e15 −0.478745
\(656\) 2.22177e15 + 3.18000e15i 0.714048 + 1.02201i
\(657\) −1.68607e14 −0.0537361
\(658\) 2.10536e15 3.23489e14i 0.665401 0.102239i
\(659\) −2.31013e15 + 2.31013e15i −0.724046 + 0.724046i −0.969427 0.245381i \(-0.921087\pi\)
0.245381 + 0.969427i \(0.421087\pi\)
\(660\) −6.96653e15 3.63112e15i −2.16533 1.12862i
\(661\) 1.26148e15 + 1.26148e15i 0.388843 + 0.388843i 0.874274 0.485432i \(-0.161338\pi\)
−0.485432 + 0.874274i \(0.661338\pi\)
\(662\) 1.24766e14 1.70067e14i 0.0381396 0.0519876i
\(663\) 2.25077e15i 0.682350i
\(664\) −5.09934e14 1.73540e14i −0.153317 0.0521765i
\(665\) 6.14001e14i 0.183084i
\(666\) 9.90359e12 + 7.26554e12i 0.00292876 + 0.00214862i
\(667\) 8.57173e14 + 8.57173e14i 0.251406 + 0.251406i
\(668\) −3.64353e14 1.15766e15i −0.105987 0.336753i
\(669\) 3.61167e15 3.61167e15i 1.04199 1.04199i
\(670\) 1.37058e15 + 8.92011e15i 0.392187 + 2.55246i
\(671\) −2.21085e15 −0.627459
\(672\) 2.97015e13 1.28514e15i 0.00836080 0.361760i
\(673\) 4.56547e15 1.27468 0.637342 0.770581i \(-0.280034\pi\)
0.637342 + 0.770581i \(0.280034\pi\)
\(674\) 2.52838e13 + 1.64554e14i 0.00700185 + 0.0455700i
\(675\) 7.60842e15 7.60842e15i 2.08989 2.08989i
\(676\) −5.56681e14 1.76875e15i −0.151670 0.481903i
\(677\) −3.62225e15 3.62225e15i −0.978905 0.978905i 0.0208774 0.999782i \(-0.493354\pi\)
−0.999782 + 0.0208774i \(0.993354\pi\)
\(678\) −1.17305e15 8.60584e14i −0.314452 0.230691i
\(679\) 1.57335e15i 0.418353i
\(680\) −2.39084e15 + 7.02530e15i −0.630595 + 1.85296i
\(681\) 1.31789e15i 0.344803i
\(682\) 1.53818e15 2.09668e15i 0.399203 0.544150i
\(683\) −3.69656e15 3.69656e15i −0.951664 0.951664i 0.0472205 0.998884i \(-0.484964\pi\)
−0.998884 + 0.0472205i \(0.984964\pi\)
\(684\) −3.73075e13 1.94455e13i −0.00952769 0.00496605i
\(685\) −2.57600e15 + 2.57600e15i −0.652600 + 0.652600i
\(686\) −2.71032e15 + 4.16443e14i −0.681143 + 0.104658i
\(687\) −1.39028e15 −0.346609
\(688\) 5.85828e15 + 1.03921e15i 1.44889 + 0.257020i
\(689\) 3.12946e15 0.767828
\(690\) 3.73124e15 5.73306e14i 0.908202 0.139546i
\(691\) 8.90107e13 8.90107e13i 0.0214938 0.0214938i −0.696278 0.717772i \(-0.745162\pi\)
0.717772 + 0.696278i \(0.245162\pi\)
\(692\) 2.51967e15 4.83415e15i 0.603615 1.15807i
\(693\) 5.96155e13 + 5.96155e13i 0.0141686 + 0.0141686i
\(694\) −2.40971e13 + 3.28465e13i −0.00568183 + 0.00774484i
\(695\) 4.38727e14i 0.102631i
\(696\) −2.82636e15 + 1.39109e15i −0.655959 + 0.322852i
\(697\) 5.36862e15i 1.23618i
\(698\) 1.87097e15 + 1.37259e15i 0.427426 + 0.313572i
\(699\) 8.73729e14 + 8.73729e14i 0.198040 + 0.198040i
\(700\) −4.54468e15 + 1.43035e15i −1.02203 + 0.321665i
\(701\) −3.34215e14 + 3.34215e14i −0.0745721 + 0.0745721i −0.743409 0.668837i \(-0.766792\pi\)
0.668837 + 0.743409i \(0.266792\pi\)
\(702\) 4.92316e14 + 3.20413e15i 0.108991 + 0.709343i
\(703\) 9.67749e13 0.0212573
\(704\) −5.75270e15 + 7.48294e14i −1.25378 + 0.163088i
\(705\) −1.62552e16 −3.51521
\(706\) 7.64321e14 + 4.97441e15i 0.164002 + 1.06737i
\(707\) −1.10457e14 + 1.10457e14i −0.0235173 + 0.0235173i
\(708\) −6.32187e14 + 1.98969e14i −0.133556 + 0.0420342i
\(709\) −1.45448e15 1.45448e15i −0.304897 0.304897i 0.538029 0.842926i \(-0.319169\pi\)
−0.842926 + 0.538029i \(0.819169\pi\)
\(710\) 7.02599e14 + 5.15446e14i 0.146146 + 0.107217i
\(711\) 2.91565e14i 0.0601800i
\(712\) −1.22757e15 + 6.04190e14i −0.251424 + 0.123747i
\(713\) 1.24955e15i 0.253958i
\(714\) −1.05232e15 + 1.43441e15i −0.212231 + 0.289290i
\(715\) −6.20301e15 6.20301e15i −1.24142 1.24142i
\(716\) 2.08936e15 4.00857e15i 0.414947 0.796101i
\(717\) −4.56287e15 + 4.56287e15i −0.899256 + 0.899256i
\(718\) 1.95008e15 2.99631e14i 0.381389 0.0586007i
\(719\) 5.51626e15 1.07062 0.535311 0.844655i \(-0.320195\pi\)
0.535311 + 0.844655i \(0.320195\pi\)
\(720\) 7.67046e13 4.32402e14i 0.0147738 0.0832835i
\(721\) 1.74717e15 0.333957
\(722\) 4.88297e15 7.50271e14i 0.926253 0.142319i
\(723\) −4.22709e15 + 4.22709e15i −0.795758 + 0.795758i
\(724\) −3.26143e15 1.69993e15i −0.609321 0.317592i
\(725\) 8.25583e15 + 8.25583e15i 1.53074 + 1.53074i
\(726\) −1.88244e15 + 2.56594e15i −0.346394 + 0.472165i
\(727\) 5.66188e15i 1.03400i 0.855985 + 0.517001i \(0.172952\pi\)
−0.855985 + 0.517001i \(0.827048\pi\)
\(728\) 4.62455e14 1.35889e15i 0.0838199 0.246299i
\(729\) 5.77641e15i 1.03910i
\(730\) −1.11805e16 8.20234e15i −1.99612 1.46441i
\(731\) −5.82233e15 5.82233e15i −1.03170 1.03170i
\(732\) 8.28803e14 + 2.63337e15i 0.145761 + 0.463128i
\(733\) 2.12425e15 2.12425e15i 0.370794 0.370794i −0.496972 0.867766i \(-0.665555\pi\)
0.867766 + 0.496972i \(0.165555\pi\)
\(734\) −1.40520e15 9.14545e15i −0.243450 1.58444i
\(735\) 9.69479e15 1.66709
\(736\) 2.01614e15 1.92506e15i 0.344107 0.328561i
\(737\) 9.76349e15 1.65399
\(738\) 4.82485e13 + 3.14015e14i 0.00811286 + 0.0528007i
\(739\) 5.43075e14 5.43075e14i 0.0906391 0.0906391i −0.660333 0.750973i \(-0.729585\pi\)
0.750973 + 0.660333i \(0.229585\pi\)
\(740\) 3.03266e14 + 9.63573e14i 0.0502400 + 0.159628i
\(741\) 7.42050e14 + 7.42050e14i 0.122021 + 0.122021i
\(742\) −1.99440e15 1.46315e15i −0.325530 0.238818i
\(743\) 8.27772e15i 1.34113i −0.741849 0.670567i \(-0.766051\pi\)
0.741849 0.670567i \(-0.233949\pi\)
\(744\) −3.07402e15 1.04614e15i −0.494373 0.168244i
\(745\) 1.14374e16i 1.82586i
\(746\) 3.14121e14 4.28176e14i 0.0497776 0.0678513i
\(747\) −3.11935e13 3.11935e13i −0.00490682 0.00490682i
\(748\) 7.11936e15 + 3.71078e15i 1.11169 + 0.579437i
\(749\) 1.19904e15 1.19904e15i 0.185859 0.185859i
\(750\) 2.35317e16 3.61565e15i 3.62089 0.556352i
\(751\) −4.14454e15 −0.633077 −0.316538 0.948580i \(-0.602521\pi\)
−0.316538 + 0.948580i \(0.602521\pi\)
\(752\) −9.83966e15 + 6.87467e15i −1.49205 + 1.04245i
\(753\) −9.01215e15 −1.35661
\(754\) −3.47678e15 + 5.34208e14i −0.519559 + 0.0798304i
\(755\) 9.03139e15 9.03139e15i 1.33982 1.33982i
\(756\) 1.18431e15 2.27217e15i 0.174419 0.334634i
\(757\) 2.94822e15 + 2.94822e15i 0.431055 + 0.431055i 0.888987 0.457932i \(-0.151410\pi\)
−0.457932 + 0.888987i \(0.651410\pi\)
\(758\) 5.46888e14 7.45458e14i 0.0793812 0.108204i
\(759\) 4.08401e15i 0.588515i
\(760\) −1.52792e15 3.10438e15i −0.218588 0.444119i
\(761\) 9.46505e14i 0.134433i −0.997738 0.0672167i \(-0.978588\pi\)