Properties

Label 14.13.d.a.3.2
Level $14$
Weight $13$
Character 14.3
Analytic conductor $12.796$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 13 \)
Character orbit: \([\chi]\) \(=\) 14.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.7959134419\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + 36740634631350658 x^{10} - 2684653740993140180 x^{9} + 5051027688394458110177 x^{8} - 329042050982173184619740 x^{7} + 328571000441888143595366884 x^{6} - 20799163177686535050419379920 x^{5} + 15169931128056380497155715556632 x^{4} - 685746033739471361446313307383040 x^{3} + 159607415711477686151635843287775328 x^{2} + 6015487435743293961505549572273215360 x + 735121207672317095821497912841120438336\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{48}\cdot 3^{8}\cdot 7^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 3.2
Root \(-134.707 - 233.319i\) of defining polynomial
Character \(\chi\) \(=\) 14.3
Dual form 14.13.d.a.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-22.6274 - 39.1918i) q^{2} +(-409.670 - 236.523i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(18219.6 - 10519.1i) q^{5} +21407.6i q^{6} +(61842.4 - 100084. i) q^{7} +92681.9 q^{8} +(-153834. - 266449. i) q^{9} +O(q^{10})\) \(q+(-22.6274 - 39.1918i) q^{2} +(-409.670 - 236.523i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(18219.6 - 10519.1i) q^{5} +21407.6i q^{6} +(61842.4 - 100084. i) q^{7} +92681.9 q^{8} +(-153834. - 266449. i) q^{9} +(-824525. - 476040. i) q^{10} +(-246520. + 426985. i) q^{11} +(839004. - 484399. i) q^{12} +3.20567e6i q^{13} +(-5.32181e6 - 159074. i) q^{14} -9.95203e6 q^{15} +(-2.09715e6 - 3.63237e6i) q^{16} +(-2.98777e7 - 1.72499e7i) q^{17} +(-6.96174e6 + 1.20581e7i) q^{18} +(-1.84755e7 + 1.06668e7i) q^{19} +4.30862e7i q^{20} +(-4.90071e7 + 2.63743e7i) q^{21} +2.23124e7 q^{22} +(-1.22901e8 - 2.12871e8i) q^{23} +(-3.79690e7 - 2.19214e7i) q^{24} +(9.92324e7 - 1.71875e8i) q^{25} +(1.25636e8 - 7.25360e7i) q^{26} +3.96937e8i q^{27} +(1.14184e8 + 2.12171e8i) q^{28} +8.71852e8 q^{29} +(2.25189e8 + 3.90038e8i) q^{30} +(-6.16355e8 - 3.55853e8i) q^{31} +(-9.49063e7 + 1.64382e8i) q^{32} +(2.01983e8 - 1.16615e8i) q^{33} +1.56128e9i q^{34} +(7.39508e7 - 2.47402e9i) q^{35} +6.30105e8 q^{36} +(1.22641e9 + 2.12420e9i) q^{37} +(8.36106e8 + 4.82726e8i) q^{38} +(7.58214e8 - 1.31327e9i) q^{39} +(1.68863e9 - 9.74930e8i) q^{40} -4.29341e9i q^{41} +(2.14256e9 + 1.32390e9i) q^{42} -8.71250e9 q^{43} +(-5.04873e8 - 8.74465e8i) q^{44} +(-5.60560e9 - 3.23639e9i) q^{45} +(-5.56186e9 + 9.63343e9i) q^{46} +(-4.94270e9 + 2.85367e9i) q^{47} +1.98410e9i q^{48} +(-6.19233e9 - 1.23789e10i) q^{49} -8.98149e9 q^{50} +(8.15999e9 + 1.41335e10i) q^{51} +(-5.68564e9 - 3.28260e9i) q^{52} +(-4.77915e9 + 8.27773e9i) q^{53} +(1.55567e10 - 8.98167e9i) q^{54} +1.03727e10i q^{55} +(5.73167e9 - 9.27598e9i) q^{56} +1.00918e10 q^{57} +(-1.97278e10 - 3.41695e10i) q^{58} +(4.83789e10 + 2.79316e10i) q^{59} +(1.01909e10 - 1.76511e10i) q^{60} +(5.97865e10 - 3.45177e10i) q^{61} +3.22081e10i q^{62} +(-3.61807e10 - 1.08148e9i) q^{63} +8.58993e9 q^{64} +(3.37207e10 + 5.84060e10i) q^{65} +(-9.14073e9 - 5.27740e9i) q^{66} +(3.87174e10 - 6.70604e10i) q^{67} +(6.11895e10 - 3.53278e10i) q^{68} +1.16276e11i q^{69} +(-9.86346e10 + 5.30823e10i) q^{70} -1.07183e11 q^{71} +(-1.42577e10 - 2.46950e10i) q^{72} +(2.07256e10 + 1.19659e10i) q^{73} +(5.55008e10 - 9.61301e10i) q^{74} +(-8.13050e10 + 4.69415e10i) q^{75} -4.36914e10i q^{76} +(2.74890e10 + 5.10785e10i) q^{77} -6.86257e10 q^{78} +(1.59667e10 + 2.76551e10i) q^{79} +(-7.64186e10 - 4.41203e10i) q^{80} +(1.21310e10 - 2.10115e10i) q^{81} +(-1.68267e11 + 9.71488e10i) q^{82} -3.39427e11i q^{83} +(3.40540e9 - 1.13927e11i) q^{84} -7.25813e11 q^{85} +(1.97141e11 + 3.41459e11i) q^{86} +(-3.57172e11 - 2.06213e11i) q^{87} +(-2.28479e10 + 3.95738e10i) q^{88} +(7.24885e11 - 4.18513e11i) q^{89} +2.92925e11i q^{90} +(3.20836e11 + 1.98246e11i) q^{91} +5.03402e11 q^{92} +(1.68335e11 + 2.91564e11i) q^{93} +(2.23681e11 + 1.29142e11i) q^{94} +(-2.24411e11 + 3.88691e11i) q^{95} +(7.77605e10 - 4.48950e10i) q^{96} -9.93604e11i q^{97} +(-3.45034e11 + 5.22790e11i) q^{98} +1.51693e11 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} + O(q^{10}) \) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} - 2290176q^{10} + 2072088q^{11} - 11501568q^{14} - 27163728q^{15} - 33554432q^{16} - 101561040q^{17} - 4592640q^{18} + 174931848q^{19} - 323731368q^{21} + 62776320q^{22} + 25630560q^{23} + 242221056q^{24} + 521205808q^{25} - 1434682368q^{26} + 350863360q^{28} + 532360944q^{29} - 2151917568q^{30} + 4583818344q^{31} + 6054957720q^{33} - 1612540440q^{35} - 9675767808q^{36} + 5764524040q^{37} - 149506560q^{38} + 10526083272q^{39} + 4690280448q^{40} - 12685086720q^{42} - 66929432000q^{43} + 4243636224q^{44} + 57253352184q^{45} + 7203213312q^{46} + 18116171640q^{47} - 9977452064q^{49} - 99248080896q^{50} - 23299256376q^{51} + 8269578240q^{52} + 39134161800q^{53} + 105152205312q^{54} + 3623878656q^{56} - 328243960080q^{57} + 29637396480q^{58} + 201845459088q^{59} + 27815657472q^{60} + 336780254328q^{61} - 389095094520q^{63} + 137438953472q^{64} + 158322703896q^{65} + 268884080640q^{66} + 107767119920q^{67} + 207997009920q^{68} - 6077815296q^{70} - 1150259029344q^{71} - 9405726720q^{72} - 738414283320q^{73} + 4902778368q^{74} + 1537028640000q^{75} - 321203352960q^{77} - 786088888320q^{78} + 227632064768q^{79} - 76101451776q^{80} - 391984178400q^{81} - 302578053120q^{82} - 32685686784q^{84} + 710209696080q^{85} - 38105192448q^{86} + 1957017683880q^{87} - 64282951680q^{88} - 2485007442792q^{89} + 1803248333904q^{91} - 104982773760q^{92} - 458668768680q^{93} - 2021298693120q^{94} - 186503862960q^{95} - 496068722688q^{96} - 356371660800q^{98} + 3921180354576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −22.6274 39.1918i −0.353553 0.612372i
\(3\) −409.670 236.523i −0.561961 0.324449i 0.191971 0.981401i \(-0.438512\pi\)
−0.753932 + 0.656952i \(0.771845\pi\)
\(4\) −1024.00 + 1773.62i −0.250000 + 0.433013i
\(5\) 18219.6 10519.1i 1.16605 0.673222i 0.213307 0.976985i \(-0.431576\pi\)
0.952748 + 0.303763i \(0.0982432\pi\)
\(6\) 21407.6i 0.458840i
\(7\) 61842.4 100084.i 0.525652 0.850700i
\(8\) 92681.9 0.353553
\(9\) −153834. 266449.i −0.289466 0.501370i
\(10\) −824525. 476040.i −0.824525 0.476040i
\(11\) −246520. + 426985.i −0.139154 + 0.241022i −0.927177 0.374624i \(-0.877772\pi\)
0.788023 + 0.615646i \(0.211105\pi\)
\(12\) 839004. 484399.i 0.280981 0.162224i
\(13\) 3.20567e6i 0.664138i 0.943255 + 0.332069i \(0.107747\pi\)
−0.943255 + 0.332069i \(0.892253\pi\)
\(14\) −5.32181e6 159074.i −0.706791 0.0211267i
\(15\) −9.95203e6 −0.873704
\(16\) −2.09715e6 3.63237e6i −0.125000 0.216506i
\(17\) −2.98777e7 1.72499e7i −1.23781 0.714649i −0.269163 0.963095i \(-0.586747\pi\)
−0.968646 + 0.248445i \(0.920080\pi\)
\(18\) −6.96174e6 + 1.20581e7i −0.204684 + 0.354522i
\(19\) −1.84755e7 + 1.06668e7i −0.392712 + 0.226733i −0.683335 0.730105i \(-0.739471\pi\)
0.290622 + 0.956838i \(0.406138\pi\)
\(20\) 4.30862e7i 0.673222i
\(21\) −4.90071e7 + 2.63743e7i −0.571404 + 0.307514i
\(22\) 2.23124e7 0.196793
\(23\) −1.22901e8 2.12871e8i −0.830211 1.43797i −0.897871 0.440259i \(-0.854887\pi\)
0.0676600 0.997708i \(-0.478447\pi\)
\(24\) −3.79690e7 2.19214e7i −0.198683 0.114710i
\(25\) 9.92324e7 1.71875e8i 0.406456 0.704002i
\(26\) 1.25636e8 7.25360e7i 0.406700 0.234808i
\(27\) 3.96937e8i 1.02456i
\(28\) 1.14184e8 + 2.12171e8i 0.236951 + 0.440289i
\(29\) 8.71852e8 1.46573 0.732867 0.680372i \(-0.238182\pi\)
0.732867 + 0.680372i \(0.238182\pi\)
\(30\) 2.25189e8 + 3.90038e8i 0.308901 + 0.535032i
\(31\) −6.16355e8 3.55853e8i −0.694482 0.400959i 0.110807 0.993842i \(-0.464656\pi\)
−0.805289 + 0.592883i \(0.797990\pi\)
\(32\) −9.49063e7 + 1.64382e8i −0.0883883 + 0.153093i
\(33\) 2.01983e8 1.16615e8i 0.156398 0.0902966i
\(34\) 1.56128e9i 1.01067i
\(35\) 7.39508e7 2.47402e9i 0.0402286 1.34584i
\(36\) 6.30105e8 0.289466
\(37\) 1.22641e9 + 2.12420e9i 0.477995 + 0.827912i 0.999682 0.0252251i \(-0.00803026\pi\)
−0.521687 + 0.853137i \(0.674697\pi\)
\(38\) 8.36106e8 + 4.82726e8i 0.277690 + 0.160324i
\(39\) 7.58214e8 1.31327e9i 0.215479 0.373220i
\(40\) 1.68863e9 9.74930e8i 0.412263 0.238020i
\(41\) 4.29341e9i 0.903856i −0.892054 0.451928i \(-0.850736\pi\)
0.892054 0.451928i \(-0.149264\pi\)
\(42\) 2.14256e9 + 1.32390e9i 0.390335 + 0.241190i
\(43\) −8.71250e9 −1.37826 −0.689131 0.724637i \(-0.742008\pi\)
−0.689131 + 0.724637i \(0.742008\pi\)
\(44\) −5.04873e8 8.74465e8i −0.0695770 0.120511i
\(45\) −5.60560e9 3.23639e9i −0.675067 0.389750i
\(46\) −5.56186e9 + 9.63343e9i −0.587048 + 1.01680i
\(47\) −4.94270e9 + 2.85367e9i −0.458540 + 0.264738i −0.711430 0.702757i \(-0.751952\pi\)
0.252890 + 0.967495i \(0.418619\pi\)
\(48\) 1.98410e9i 0.162224i
\(49\) −6.19233e9 1.23789e10i −0.447381 0.894344i
\(50\) −8.98149e9 −0.574815
\(51\) 8.15999e9 + 1.41335e10i 0.463734 + 0.803211i
\(52\) −5.68564e9 3.28260e9i −0.287580 0.166035i
\(53\) −4.77915e9 + 8.27773e9i −0.215623 + 0.373470i −0.953465 0.301503i \(-0.902512\pi\)
0.737842 + 0.674973i \(0.235845\pi\)
\(54\) 1.55567e10 8.98167e9i 0.627415 0.362238i
\(55\) 1.03727e10i 0.374726i
\(56\) 5.73167e9 9.27598e9i 0.185846 0.300768i
\(57\) 1.00918e10 0.294252
\(58\) −1.97278e10 3.41695e10i −0.518215 0.897575i
\(59\) 4.83789e10 + 2.79316e10i 1.14695 + 0.662191i 0.948142 0.317847i \(-0.102960\pi\)
0.198807 + 0.980039i \(0.436293\pi\)
\(60\) 1.01909e10 1.76511e10i 0.218426 0.378325i
\(61\) 5.97865e10 3.45177e10i 1.16044 0.669982i 0.209033 0.977909i \(-0.432968\pi\)
0.951410 + 0.307926i \(0.0996351\pi\)
\(62\) 3.22081e10i 0.567042i
\(63\) −3.61807e10 1.08148e9i −0.578674 0.0172971i
\(64\) 8.58993e9 0.125000
\(65\) 3.37207e10 + 5.84060e10i 0.447112 + 0.774421i
\(66\) −9.14073e9 5.27740e9i −0.110590 0.0638494i
\(67\) 3.87174e10 6.70604e10i 0.428013 0.741340i −0.568684 0.822556i \(-0.692547\pi\)
0.996697 + 0.0812163i \(0.0258805\pi\)
\(68\) 6.11895e10 3.53278e10i 0.618904 0.357325i
\(69\) 1.16276e11i 1.07744i
\(70\) −9.86346e10 + 5.30823e10i −0.838380 + 0.451192i
\(71\) −1.07183e11 −0.836715 −0.418358 0.908282i \(-0.637394\pi\)
−0.418358 + 0.908282i \(0.637394\pi\)
\(72\) −1.42577e10 2.46950e10i −0.102342 0.177261i
\(73\) 2.07256e10 + 1.19659e10i 0.136953 + 0.0790696i 0.566911 0.823779i \(-0.308138\pi\)
−0.429958 + 0.902849i \(0.641472\pi\)
\(74\) 5.55008e10 9.61301e10i 0.337994 0.585422i
\(75\) −8.13050e10 + 4.69415e10i −0.456825 + 0.263748i
\(76\) 4.36914e10i 0.226733i
\(77\) 2.74890e10 + 5.10785e10i 0.131891 + 0.245072i
\(78\) −6.86257e10 −0.304733
\(79\) 1.59667e10 + 2.76551e10i 0.0656829 + 0.113766i 0.896997 0.442037i \(-0.145744\pi\)
−0.831314 + 0.555803i \(0.812411\pi\)
\(80\) −7.64186e10 4.41203e10i −0.291514 0.168306i
\(81\) 1.21310e10 2.10115e10i 0.0429523 0.0743955i
\(82\) −1.68267e11 + 9.71488e10i −0.553497 + 0.319561i
\(83\) 3.39427e11i 1.03819i −0.854716 0.519097i \(-0.826269\pi\)
0.854716 0.519097i \(-0.173731\pi\)
\(84\) 3.40540e9 1.13927e11i 0.00969376 0.324304i
\(85\) −7.25813e11 −1.92447
\(86\) 1.97141e11 + 3.41459e11i 0.487289 + 0.844010i
\(87\) −3.57172e11 2.06213e11i −0.823685 0.475555i
\(88\) −2.28479e10 + 3.95738e10i −0.0491984 + 0.0852141i
\(89\) 7.24885e11 4.18513e11i 1.45858 0.842110i 0.459635 0.888108i \(-0.347980\pi\)
0.998942 + 0.0459978i \(0.0146467\pi\)
\(90\) 2.92925e11i 0.551190i
\(91\) 3.20836e11 + 1.98246e11i 0.564982 + 0.349105i
\(92\) 5.03402e11 0.830211
\(93\) 1.68335e11 + 2.91564e11i 0.260181 + 0.450647i
\(94\) 2.23681e11 + 1.29142e11i 0.324236 + 0.187198i
\(95\) −2.24411e11 + 3.88691e11i −0.305283 + 0.528765i
\(96\) 7.77605e10 4.48950e10i 0.0993417 0.0573549i
\(97\) 9.93604e11i 1.19284i −0.802672 0.596421i \(-0.796589\pi\)
0.802672 0.596421i \(-0.203411\pi\)
\(98\) −3.45034e11 + 5.22790e11i −0.389498 + 0.590162i
\(99\) 1.51693e11 0.161122
\(100\) 2.03228e11 + 3.52001e11i 0.203228 + 0.352001i
\(101\) −2.43625e11 1.40657e11i −0.229506 0.132505i 0.380838 0.924642i \(-0.375635\pi\)
−0.610344 + 0.792136i \(0.708969\pi\)
\(102\) 3.69279e11 6.39610e11i 0.327909 0.567956i
\(103\) 7.84748e11 4.53075e11i 0.657214 0.379443i −0.134001 0.990981i \(-0.542782\pi\)
0.791215 + 0.611538i \(0.209449\pi\)
\(104\) 2.97107e11i 0.234808i
\(105\) −6.15457e11 + 9.96039e11i −0.459264 + 0.743260i
\(106\) 4.32559e11 0.304937
\(107\) 6.82690e11 + 1.18245e12i 0.454905 + 0.787919i 0.998683 0.0513106i \(-0.0163398\pi\)
−0.543778 + 0.839229i \(0.683006\pi\)
\(108\) −7.04016e11 4.06464e11i −0.443650 0.256141i
\(109\) 1.63912e9 2.83903e9i 0.000977352 0.00169282i −0.865536 0.500846i \(-0.833022\pi\)
0.866514 + 0.499153i \(0.166356\pi\)
\(110\) 4.06524e11 2.34707e11i 0.229472 0.132486i
\(111\) 1.16029e12i 0.620340i
\(112\) −4.93235e11 1.47433e10i −0.249888 0.00746941i
\(113\) 3.90063e12 1.87354 0.936772 0.349941i \(-0.113798\pi\)
0.936772 + 0.349941i \(0.113798\pi\)
\(114\) −2.28352e11 3.95516e11i −0.104034 0.180192i
\(115\) −4.47842e12 2.58561e12i −1.93614 1.11783i
\(116\) −8.92777e11 + 1.54633e12i −0.366433 + 0.634681i
\(117\) 8.54146e11 4.93141e11i 0.332979 0.192246i
\(118\) 2.52808e12i 0.936480i
\(119\) −3.57415e12 + 1.92350e12i −1.25861 + 0.677347i
\(120\) −9.22373e11 −0.308901
\(121\) 1.44767e12 + 2.50744e12i 0.461272 + 0.798947i
\(122\) −2.70563e12 1.56209e12i −0.820557 0.473749i
\(123\) −1.01549e12 + 1.75888e12i −0.293255 + 0.507932i
\(124\) 1.26230e12 7.28786e11i 0.347241 0.200480i
\(125\) 9.60938e11i 0.251904i
\(126\) 7.76291e11 + 1.44246e12i 0.194000 + 0.360480i
\(127\) −5.55734e12 −1.32448 −0.662239 0.749293i \(-0.730393\pi\)
−0.662239 + 0.749293i \(0.730393\pi\)
\(128\) −1.94368e11 3.36655e11i −0.0441942 0.0765466i
\(129\) 3.56925e12 + 2.06071e12i 0.774530 + 0.447175i
\(130\) 1.52603e12 2.64315e12i 0.316156 0.547599i
\(131\) −1.32531e12 + 7.65171e11i −0.262235 + 0.151402i −0.625354 0.780341i \(-0.715045\pi\)
0.363119 + 0.931743i \(0.381712\pi\)
\(132\) 4.77656e11i 0.0902966i
\(133\) −7.49894e10 + 2.50876e12i −0.0135485 + 0.453263i
\(134\) −3.50429e12 −0.605302
\(135\) 4.17542e12 + 7.23204e12i 0.689760 + 1.19470i
\(136\) −2.76912e12 1.59875e12i −0.437632 0.252667i
\(137\) 4.48361e12 7.76583e12i 0.678116 1.17453i −0.297432 0.954743i \(-0.596130\pi\)
0.975548 0.219788i \(-0.0705367\pi\)
\(138\) 4.55706e12 2.63102e12i 0.659796 0.380934i
\(139\) 1.16471e13i 1.61484i −0.589978 0.807419i \(-0.700864\pi\)
0.589978 0.807419i \(-0.299136\pi\)
\(140\) 4.31224e12 + 2.66455e12i 0.572710 + 0.353880i
\(141\) 2.69983e12 0.343575
\(142\) 2.42529e12 + 4.20072e12i 0.295824 + 0.512381i
\(143\) −1.36877e12 7.90261e11i −0.160072 0.0924175i
\(144\) −6.45228e11 + 1.11757e12i −0.0723666 + 0.125343i
\(145\) 1.58848e13 9.17110e12i 1.70913 0.986764i
\(146\) 1.08303e12i 0.111821i
\(147\) −3.91077e11 + 6.53588e12i −0.0387577 + 0.647739i
\(148\) −5.02336e12 −0.477995
\(149\) 5.91457e12 + 1.02443e13i 0.540512 + 0.936195i 0.998875 + 0.0474295i \(0.0151030\pi\)
−0.458362 + 0.888766i \(0.651564\pi\)
\(150\) 3.67944e12 + 2.12433e12i 0.323024 + 0.186498i
\(151\) −3.48253e11 + 6.03192e11i −0.0293788 + 0.0508855i −0.880341 0.474341i \(-0.842686\pi\)
0.850962 + 0.525227i \(0.176020\pi\)
\(152\) −1.71234e12 + 9.88623e11i −0.138845 + 0.0801621i
\(153\) 1.06145e13i 0.827468i
\(154\) 1.37985e12 2.23312e12i 0.103445 0.167412i
\(155\) −1.49730e13 −1.07974
\(156\) 1.55282e12 + 2.68957e12i 0.107739 + 0.186610i
\(157\) −1.31986e13 7.62023e12i −0.881314 0.508827i −0.0102224 0.999948i \(-0.503254\pi\)
−0.871091 + 0.491121i \(0.836587\pi\)
\(158\) 7.22570e11 1.25153e12i 0.0464448 0.0804448i
\(159\) 3.91575e12 2.26076e12i 0.242344 0.139917i
\(160\) 3.99331e12i 0.238020i
\(161\) −2.89054e13 8.64012e11i −1.65968 0.0496095i
\(162\) −1.09797e12 −0.0607437
\(163\) −1.51249e13 2.61971e13i −0.806430 1.39678i −0.915321 0.402724i \(-0.868063\pi\)
0.108891 0.994054i \(-0.465270\pi\)
\(164\) 7.61488e12 + 4.39645e12i 0.391381 + 0.225964i
\(165\) 2.45337e12 4.24937e12i 0.121579 0.210582i
\(166\) −1.33028e13 + 7.68036e12i −0.635761 + 0.367057i
\(167\) 2.30730e12i 0.106367i 0.998585 + 0.0531834i \(0.0169368\pi\)
−0.998585 + 0.0531834i \(0.983063\pi\)
\(168\) −4.54207e12 + 2.44442e12i −0.202022 + 0.108722i
\(169\) 1.30218e13 0.558921
\(170\) 1.64233e13 + 2.84459e13i 0.680403 + 1.17849i
\(171\) 5.68433e12 + 3.28185e12i 0.227354 + 0.131263i
\(172\) 8.92160e12 1.54527e13i 0.344566 0.596805i
\(173\) 1.76692e13 1.02013e13i 0.659082 0.380521i −0.132845 0.991137i \(-0.542411\pi\)
0.791927 + 0.610615i \(0.209078\pi\)
\(174\) 1.86643e13i 0.672536i
\(175\) −1.10652e13 2.05608e13i −0.385240 0.715832i
\(176\) 2.06796e12 0.0695770
\(177\) −1.32129e13 2.28855e13i −0.429694 0.744252i
\(178\) −3.28046e13 1.89397e13i −1.03137 0.595462i
\(179\) −1.72380e13 + 2.98571e13i −0.524046 + 0.907674i 0.475563 + 0.879682i \(0.342245\pi\)
−0.999608 + 0.0279917i \(0.991089\pi\)
\(180\) 1.14803e13 6.62813e12i 0.337534 0.194875i
\(181\) 6.96878e12i 0.198192i 0.995078 + 0.0990958i \(0.0315950\pi\)
−0.995078 + 0.0990958i \(0.968405\pi\)
\(182\) 5.09939e11 1.70599e13i 0.0140310 0.469407i
\(183\) −3.26569e13 −0.869499
\(184\) −1.13907e13 1.97293e13i −0.293524 0.508398i
\(185\) 4.46892e13 + 2.58013e13i 1.11474 + 0.643594i
\(186\) 7.61796e12 1.31947e13i 0.183976 0.318656i
\(187\) 1.47309e13 8.50488e12i 0.344492 0.198893i
\(188\) 1.16886e13i 0.264738i
\(189\) 3.97271e13 + 2.45476e13i 0.871597 + 0.538564i
\(190\) 2.03114e13 0.431735
\(191\) 3.54982e13 + 6.14847e13i 0.731149 + 1.26639i 0.956392 + 0.292085i \(0.0943491\pi\)
−0.225243 + 0.974303i \(0.572318\pi\)
\(192\) −3.51904e12 2.03172e12i −0.0702452 0.0405561i
\(193\) −2.96152e13 + 5.12951e13i −0.573022 + 0.992503i 0.423231 + 0.906022i \(0.360896\pi\)
−0.996253 + 0.0864816i \(0.972438\pi\)
\(194\) −3.89411e13 + 2.24827e13i −0.730463 + 0.421733i
\(195\) 3.19029e13i 0.580260i
\(196\) 2.82963e13 + 1.69312e12i 0.499107 + 0.0298643i
\(197\) 9.54694e13 1.63330 0.816651 0.577132i \(-0.195828\pi\)
0.816651 + 0.577132i \(0.195828\pi\)
\(198\) −3.43242e12 5.94512e12i −0.0569651 0.0986664i
\(199\) 2.20483e13 + 1.27296e13i 0.355023 + 0.204973i 0.666895 0.745151i \(-0.267623\pi\)
−0.311872 + 0.950124i \(0.600956\pi\)
\(200\) 9.19704e12 1.59297e13i 0.143704 0.248902i
\(201\) −3.17227e13 + 1.83151e13i −0.481053 + 0.277736i
\(202\) 1.27308e13i 0.187391i
\(203\) 5.39174e13 8.72585e13i 0.770465 1.24690i
\(204\) −3.34233e13 −0.463734
\(205\) −4.51628e13 7.82243e13i −0.608496 1.05395i
\(206\) −3.55136e13 2.05038e13i −0.464721 0.268307i
\(207\) −3.78128e13 + 6.54936e13i −0.480636 + 0.832486i
\(208\) 1.16442e13 6.72277e12i 0.143790 0.0830173i
\(209\) 1.05183e13i 0.126203i
\(210\) 5.29628e13 + 1.58311e12i 0.617526 + 0.0184585i
\(211\) −6.19581e12 −0.0702107 −0.0351054 0.999384i \(-0.511177\pi\)
−0.0351054 + 0.999384i \(0.511177\pi\)
\(212\) −9.78770e12 1.69528e13i −0.107812 0.186735i
\(213\) 4.39098e13 + 2.53514e13i 0.470202 + 0.271471i
\(214\) 3.08950e13 5.35117e13i 0.321666 0.557143i
\(215\) −1.58738e14 + 9.16476e13i −1.60713 + 0.927877i
\(216\) 3.67889e13i 0.362238i
\(217\) −7.37320e13 + 3.96805e13i −0.706151 + 0.380031i
\(218\) −1.48356e11 −0.00138218
\(219\) −5.66044e12 9.80417e12i −0.0513081 0.0888681i
\(220\) −1.83972e13 1.06216e13i −0.162261 0.0936815i
\(221\) 5.52974e13 9.57780e13i 0.474626 0.822076i
\(222\) −4.54740e13 + 2.62544e13i −0.379879 + 0.219323i
\(223\) 1.24687e14i 1.01389i −0.861977 0.506947i \(-0.830774\pi\)
0.861977 0.506947i \(-0.169226\pi\)
\(224\) 1.05828e13 + 1.96644e13i 0.0837748 + 0.155666i
\(225\) −6.10613e13 −0.470621
\(226\) −8.82611e13 1.52873e14i −0.662398 1.14731i
\(227\) 1.47962e14 + 8.54259e13i 1.08142 + 0.624359i 0.931279 0.364306i \(-0.118694\pi\)
0.150142 + 0.988664i \(0.452027\pi\)
\(228\) −1.03340e13 + 1.78990e13i −0.0735631 + 0.127415i
\(229\) −1.77873e14 + 1.02695e14i −1.23338 + 0.712094i −0.967734 0.251975i \(-0.918920\pi\)
−0.265650 + 0.964070i \(0.585587\pi\)
\(230\) 2.34023e14i 1.58085i
\(231\) 8.19822e11 2.74271e13i 0.00539570 0.180513i
\(232\) 8.08049e13 0.518215
\(233\) −1.31093e14 2.27060e14i −0.819302 1.41907i −0.906197 0.422855i \(-0.861028\pi\)
0.0868957 0.996217i \(-0.472305\pi\)
\(234\) −3.86542e13 2.23170e13i −0.235452 0.135938i
\(235\) −6.00360e13 + 1.03985e14i −0.356455 + 0.617398i
\(236\) −9.90800e13 + 5.72039e13i −0.573475 + 0.331096i
\(237\) 1.51060e13i 0.0852429i
\(238\) 1.56259e14 + 9.65534e13i 0.859774 + 0.531259i
\(239\) 2.57036e14 1.37914 0.689568 0.724221i \(-0.257800\pi\)
0.689568 + 0.724221i \(0.257800\pi\)
\(240\) 2.08709e13 + 3.61495e13i 0.109213 + 0.189162i
\(241\) 1.19687e14 + 6.91013e13i 0.610864 + 0.352683i 0.773304 0.634036i \(-0.218603\pi\)
−0.162439 + 0.986719i \(0.551936\pi\)
\(242\) 6.55141e13 1.13474e14i 0.326169 0.564941i
\(243\) 1.72748e14 9.97359e13i 0.839024 0.484411i
\(244\) 1.41385e14i 0.669982i
\(245\) −2.43036e14 1.60400e14i −1.12376 0.741667i
\(246\) 9.19117e13 0.414725
\(247\) −3.41943e13 5.92263e13i −0.150582 0.260815i
\(248\) −5.71250e13 3.29811e13i −0.245536 0.141760i
\(249\) −8.02823e13 + 1.39053e14i −0.336840 + 0.583424i
\(250\) 3.76609e13 2.17436e13i 0.154259 0.0890616i
\(251\) 1.98023e14i 0.791904i −0.918271 0.395952i \(-0.870415\pi\)
0.918271 0.395952i \(-0.129585\pi\)
\(252\) 3.89672e13 6.30634e13i 0.152158 0.246249i
\(253\) 1.21190e14 0.462109
\(254\) 1.25748e14 + 2.17802e14i 0.468273 + 0.811073i
\(255\) 2.97344e14 + 1.71671e14i 1.08148 + 0.624392i
\(256\) −8.79609e12 + 1.52353e13i −0.0312500 + 0.0541266i
\(257\) −8.73651e11 + 5.04403e11i −0.00303207 + 0.00175057i −0.501515 0.865149i \(-0.667224\pi\)
0.498483 + 0.866899i \(0.333891\pi\)
\(258\) 1.86514e14i 0.632401i
\(259\) 2.88442e14 + 8.62181e12i 0.955564 + 0.0285627i
\(260\) −1.38120e14 −0.447112
\(261\) −1.34121e14 2.32304e14i −0.424280 0.734875i
\(262\) 5.99769e13 + 3.46277e13i 0.185428 + 0.107057i
\(263\) −1.48779e13 + 2.57693e13i −0.0449580 + 0.0778695i −0.887629 0.460560i \(-0.847649\pi\)
0.842671 + 0.538429i \(0.180982\pi\)
\(264\) 1.87202e13 1.08081e13i 0.0552952 0.0319247i
\(265\) 2.01089e14i 0.580649i
\(266\) 1.00020e14 5.38279e13i 0.282356 0.151956i
\(267\) −3.95952e14 −1.09289
\(268\) 7.92931e13 + 1.37340e14i 0.214006 + 0.370670i
\(269\) 6.78960e13 + 3.91998e13i 0.179197 + 0.103459i 0.586915 0.809648i \(-0.300342\pi\)
−0.407718 + 0.913108i \(0.633675\pi\)
\(270\) 1.88958e14 3.27285e14i 0.487734 0.844779i
\(271\) 2.35729e14 1.36098e14i 0.595109 0.343586i −0.172006 0.985096i \(-0.555025\pi\)
0.767115 + 0.641509i \(0.221691\pi\)
\(272\) 1.44703e14i 0.357325i
\(273\) −8.45471e13 1.57101e14i −0.204231 0.379491i
\(274\) −4.05810e14 −0.959001
\(275\) 4.89255e13 + 8.47414e13i 0.113120 + 0.195929i
\(276\) −2.06229e14 1.19066e14i −0.466546 0.269361i
\(277\) −3.85418e14 + 6.67564e14i −0.853205 + 1.47779i 0.0250951 + 0.999685i \(0.492011\pi\)
−0.878300 + 0.478110i \(0.841322\pi\)
\(278\) −4.56471e14 + 2.63544e14i −0.988882 + 0.570931i
\(279\) 2.18969e14i 0.464257i
\(280\) 6.85390e12 2.29297e14i 0.0142229 0.475827i
\(281\) −5.71699e14 −1.16126 −0.580630 0.814168i \(-0.697194\pi\)
−0.580630 + 0.814168i \(0.697194\pi\)
\(282\) −6.10902e13 1.05811e14i −0.121472 0.210396i
\(283\) −1.36757e14 7.89569e13i −0.266215 0.153699i 0.360951 0.932585i \(-0.382452\pi\)
−0.627166 + 0.778885i \(0.715785\pi\)
\(284\) 1.09756e14 1.90103e14i 0.209179 0.362308i
\(285\) 1.83869e14 1.06157e14i 0.343114 0.198097i
\(286\) 7.15262e13i 0.130698i
\(287\) −4.29702e14 2.65515e14i −0.768911 0.475114i
\(288\) 5.83993e13 0.102342
\(289\) 3.03807e14 + 5.26209e14i 0.521447 + 0.903173i
\(290\) −7.18864e14 4.15036e14i −1.20853 0.697747i
\(291\) −2.35010e14 + 4.07049e14i −0.387016 + 0.670331i
\(292\) −4.24461e13 + 2.45062e13i −0.0684763 + 0.0395348i
\(293\) 3.53680e14i 0.558991i −0.960147 0.279496i \(-0.909833\pi\)
0.960147 0.279496i \(-0.0901673\pi\)
\(294\) 2.65002e14 1.32563e14i 0.410360 0.205276i
\(295\) 1.17526e15 1.78321
\(296\) 1.13666e14 + 1.96875e14i 0.168997 + 0.292711i
\(297\) −1.69486e14 9.78529e13i −0.246942 0.142572i
\(298\) 2.67663e14 4.63606e14i 0.382200 0.661990i
\(299\) 6.82393e14 3.93980e14i 0.955009 0.551375i
\(300\) 1.92272e14i 0.263748i
\(301\) −5.38802e14 + 8.71982e14i −0.724486 + 1.17249i
\(302\) 3.15203e13 0.0415478
\(303\) 6.65372e13 + 1.15246e14i 0.0859823 + 0.148926i
\(304\) 7.74919e13 + 4.47400e13i 0.0981781 + 0.0566832i
\(305\) 7.26190e14 1.25780e15i 0.902093 1.56247i
\(306\) 4.16002e14 2.40179e14i 0.506718 0.292554i
\(307\) 6.29037e14i 0.751356i 0.926750 + 0.375678i \(0.122590\pi\)
−0.926750 + 0.375678i \(0.877410\pi\)
\(308\) −1.18742e14 3.54933e12i −0.139092 0.00415759i
\(309\) −4.28650e14 −0.492439
\(310\) 3.38800e14 + 5.86819e14i 0.381745 + 0.661202i
\(311\) −1.73042e14 9.99060e13i −0.191245 0.110415i 0.401320 0.915938i \(-0.368551\pi\)
−0.592565 + 0.805522i \(0.701885\pi\)
\(312\) 7.02727e13 1.21716e14i 0.0761832 0.131953i
\(313\) 7.58277e14 4.37791e14i 0.806421 0.465587i −0.0392907 0.999228i \(-0.512510\pi\)
0.845711 + 0.533641i \(0.179177\pi\)
\(314\) 6.89704e14i 0.719590i
\(315\) −6.70575e14 + 3.60884e14i −0.686410 + 0.369407i
\(316\) −6.53995e13 −0.0656829
\(317\) −1.60157e14 2.77400e14i −0.157830 0.273370i 0.776256 0.630418i \(-0.217116\pi\)
−0.934086 + 0.357048i \(0.883783\pi\)
\(318\) −1.77206e14 1.02310e14i −0.171363 0.0989364i
\(319\) −2.14929e14 + 3.72268e14i −0.203963 + 0.353274i
\(320\) 1.56505e14 9.03583e13i 0.145757 0.0841528i
\(321\) 6.45887e14i 0.590373i
\(322\) 6.20193e14 + 1.15241e15i 0.556406 + 1.03388i
\(323\) 7.36007e14 0.648137
\(324\) 2.48443e13 + 4.30315e13i 0.0214761 + 0.0371978i
\(325\) 5.50976e14 + 3.18106e14i 0.467554 + 0.269943i
\(326\) −6.84475e14 + 1.18554e15i −0.570232 + 0.987671i
\(327\) −1.34299e12 + 7.75377e11i −0.00109847 + 0.000634201i
\(328\) 3.97922e14i 0.319561i
\(329\) −2.00617e13 + 6.71162e14i −0.0158195 + 0.529240i
\(330\) −2.22054e14 −0.171939
\(331\) 2.45663e14 + 4.25501e14i 0.186798 + 0.323543i 0.944181 0.329428i \(-0.106856\pi\)
−0.757383 + 0.652971i \(0.773522\pi\)
\(332\) 6.02015e14 + 3.47573e14i 0.449551 + 0.259548i
\(333\) 3.77326e14 6.53548e14i 0.276727 0.479305i
\(334\) 9.04275e13 5.22083e13i 0.0651361 0.0376063i
\(335\) 1.62909e15i 1.15259i
\(336\) 1.98577e14 + 1.22701e14i 0.138004 + 0.0852734i
\(337\) −1.16473e15 −0.795147 −0.397573 0.917570i \(-0.630148\pi\)
−0.397573 + 0.917570i \(0.630148\pi\)
\(338\) −2.94649e14 5.10348e14i −0.197608 0.342268i
\(339\) −1.59797e15 9.22588e14i −1.05286 0.607868i
\(340\) 7.43233e14 1.28732e15i 0.481118 0.833320i
\(341\) 3.03888e14 1.75450e14i 0.193280 0.111590i
\(342\) 2.97039e14i 0.185634i
\(343\) −1.62187e15 1.45786e14i −0.995984 0.0895262i
\(344\) −8.07491e14 −0.487289
\(345\) 1.22311e15 + 2.11850e15i 0.725358 + 1.25636i
\(346\) −7.99616e14 4.61658e14i −0.466042 0.269069i
\(347\) −1.70099e14 + 2.94619e14i −0.0974370 + 0.168766i −0.910623 0.413238i \(-0.864398\pi\)
0.813186 + 0.582004i \(0.197731\pi\)
\(348\) 7.31487e14 4.22324e14i 0.411843 0.237778i
\(349\) 3.45573e15i 1.91244i −0.292656 0.956218i \(-0.594539\pi\)
0.292656 0.956218i \(-0.405461\pi\)
\(350\) −5.55437e14 + 8.98903e14i −0.302153 + 0.488995i
\(351\) −1.27245e15 −0.680452
\(352\) −4.67926e13 8.10471e13i −0.0245992 0.0426070i
\(353\) 1.19841e15 + 6.91900e14i 0.619378 + 0.357598i 0.776627 0.629961i \(-0.216929\pi\)
−0.157249 + 0.987559i \(0.550262\pi\)
\(354\) −5.97949e14 + 1.03568e15i −0.303840 + 0.526266i
\(355\) −1.95284e15 + 1.12747e15i −0.975656 + 0.563295i
\(356\) 1.71423e15i 0.842110i
\(357\) 1.91917e15 + 5.73660e13i 0.927054 + 0.0277105i
\(358\) 1.56021e15 0.741112
\(359\) −4.99594e14 8.65322e14i −0.233373 0.404214i 0.725426 0.688300i \(-0.241643\pi\)
−0.958799 + 0.284087i \(0.908310\pi\)
\(360\) −5.19538e14 2.99955e14i −0.238672 0.137797i
\(361\) −8.79095e14 + 1.52264e15i −0.397185 + 0.687944i
\(362\) 2.73119e14 1.57685e14i 0.121367 0.0700713i
\(363\) 1.36963e15i 0.598637i
\(364\) −6.80149e14 + 3.66037e14i −0.292413 + 0.157368i
\(365\) 5.03483e14 0.212926
\(366\) 7.38942e14 + 1.27989e15i 0.307414 + 0.532457i
\(367\) −3.32044e15 1.91706e15i −1.35894 0.784583i −0.369457 0.929248i \(-0.620456\pi\)
−0.989481 + 0.144665i \(0.953790\pi\)
\(368\) −5.15484e14 + 8.92845e14i −0.207553 + 0.359492i
\(369\) −1.14397e15 + 6.60474e14i −0.453167 + 0.261636i
\(370\) 2.33527e15i 0.910179i
\(371\) 5.32914e14 + 9.90231e14i 0.204368 + 0.379746i
\(372\) −6.89499e14 −0.260181
\(373\) 7.48211e14 + 1.29594e15i 0.277825 + 0.481207i 0.970844 0.239712i \(-0.0770531\pi\)
−0.693019 + 0.720919i \(0.743720\pi\)
\(374\) −6.66644e14 3.84887e14i −0.243593 0.140638i
\(375\) 2.27284e14 3.93667e14i 0.0817300 0.141560i
\(376\) −4.58099e14 + 2.64483e14i −0.162118 + 0.0935990i
\(377\) 2.79487e15i 0.973449i
\(378\) 6.31425e13 2.11242e15i 0.0216457 0.724153i
\(379\) 2.15636e15 0.727587 0.363794 0.931480i \(-0.381481\pi\)
0.363794 + 0.931480i \(0.381481\pi\)
\(380\) −4.59594e14 7.96039e14i −0.152641 0.264383i
\(381\) 2.27667e15 + 1.31444e15i 0.744305 + 0.429725i
\(382\) 1.60647e15 2.78248e15i 0.517001 0.895472i
\(383\) 4.03701e15 2.33077e15i 1.27899 0.738425i 0.302328 0.953204i \(-0.402236\pi\)
0.976663 + 0.214779i \(0.0689030\pi\)
\(384\) 1.83890e14i 0.0573549i
\(385\) 1.03814e15 + 6.41470e14i 0.318780 + 0.196975i
\(386\) 2.68046e15 0.810375
\(387\) 1.34028e15 + 2.32143e15i 0.398960 + 0.691020i
\(388\) 1.76228e15 + 1.01745e15i 0.516516 + 0.298210i
\(389\) 1.18748e15 2.05677e15i 0.342710 0.593592i −0.642225 0.766516i \(-0.721988\pi\)
0.984935 + 0.172925i \(0.0553217\pi\)
\(390\) −1.25033e15 + 7.21880e14i −0.355335 + 0.205153i
\(391\) 8.48012e15i 2.37324i
\(392\) −5.73917e14 1.14730e15i −0.158173 0.316198i
\(393\) 7.23922e14 0.196488
\(394\) −2.16022e15 3.74162e15i −0.577460 1.00019i
\(395\) 5.81813e14 + 3.35910e14i 0.153180 + 0.0884383i
\(396\) −1.55333e14 + 2.69045e14i −0.0402804 + 0.0697677i
\(397\) 1.85783e15 1.07262e15i 0.474529 0.273969i −0.243605 0.969875i \(-0.578330\pi\)
0.718134 + 0.695905i \(0.244997\pi\)
\(398\) 1.15215e15i 0.289875i
\(399\) 6.24101e14 1.01003e15i 0.154674 0.250320i
\(400\) −8.32421e14 −0.203228
\(401\) −1.77790e15 3.07941e15i −0.427602 0.740629i 0.569057 0.822298i \(-0.307308\pi\)
−0.996660 + 0.0816691i \(0.973975\pi\)
\(402\) 1.43560e15 + 8.28846e14i 0.340156 + 0.196389i
\(403\) 1.14075e15 1.97583e15i 0.266292 0.461232i
\(404\) 4.98944e14 2.88066e14i 0.114753 0.0662526i
\(405\) 5.10428e14i 0.115666i
\(406\) −4.63983e15 1.38689e14i −1.03597 0.0309661i
\(407\) −1.20933e15 −0.266060
\(408\) 7.56284e14 + 1.30992e15i 0.163955 + 0.283978i
\(409\) −4.16545e15 2.40492e15i −0.889861 0.513761i −0.0159638 0.999873i \(-0.505082\pi\)
−0.873897 + 0.486111i \(0.838415\pi\)
\(410\) −2.04384e15 + 3.54003e15i −0.430272 + 0.745252i
\(411\) −3.67360e15 + 2.12095e15i −0.762150 + 0.440028i
\(412\) 1.85579e15i 0.379443i
\(413\) 5.78737e15 3.11460e15i 1.16622 0.627628i
\(414\) 3.42242e15 0.679722
\(415\) −3.57047e15 6.18423e15i −0.698934 1.21059i
\(416\) −5.26956e14 3.04238e14i −0.101675 0.0587021i
\(417\) −2.75481e15 + 4.77147e15i −0.523932 + 0.907477i
\(418\) −4.12233e14 + 2.38003e14i −0.0772833 + 0.0446195i
\(419\) 6.30850e15i 1.16585i 0.812527 + 0.582924i \(0.198092\pi\)
−0.812527 + 0.582924i \(0.801908\pi\)
\(420\) −1.13637e15 2.11153e15i −0.207025 0.384682i
\(421\) −1.94961e15 −0.350150 −0.175075 0.984555i \(-0.556017\pi\)
−0.175075 + 0.984555i \(0.556017\pi\)
\(422\) 1.40195e14 + 2.42825e14i 0.0248232 + 0.0429951i
\(423\) 1.52071e15 + 8.77984e14i 0.265463 + 0.153265i
\(424\) −4.42941e14 + 7.67196e14i −0.0762343 + 0.132042i
\(425\) −5.92967e15 + 3.42350e15i −1.00623 + 0.580947i
\(426\) 2.29454e15i 0.383918i
\(427\) 2.42665e14 8.11833e15i 0.0400350 1.33937i
\(428\) −2.79630e15 −0.454905
\(429\) 3.73830e14 + 6.47492e14i 0.0599694 + 0.103870i
\(430\) 7.18367e15 + 4.14750e15i 1.13641 + 0.656108i
\(431\) −2.83913e15 + 4.91751e15i −0.442916 + 0.767153i −0.997904 0.0647051i \(-0.979389\pi\)
0.554988 + 0.831858i \(0.312723\pi\)
\(432\) 1.44182e15 8.32438e14i 0.221825 0.128071i
\(433\) 3.15969e15i 0.479421i −0.970844 0.239711i \(-0.922947\pi\)
0.970844 0.239711i \(-0.0770526\pi\)
\(434\) 3.22352e15 + 1.99183e15i 0.482383 + 0.298066i
\(435\) −8.67670e15 −1.28062
\(436\) 3.35691e12 + 5.81434e12i 0.000488676 + 0.000846411i
\(437\) 4.54132e15 + 2.62193e15i 0.652068 + 0.376472i
\(438\) −2.56162e14 + 4.43686e14i −0.0362803 + 0.0628393i
\(439\) −3.54688e15 + 2.04779e15i −0.495517 + 0.286087i −0.726860 0.686785i \(-0.759021\pi\)
0.231343 + 0.972872i \(0.425688\pi\)
\(440\) 9.61358e14i 0.132486i
\(441\) −2.34574e15 + 3.55423e15i −0.318896 + 0.483186i
\(442\) −5.00495e15 −0.671222
\(443\) −5.22014e15 9.04155e15i −0.690653 1.19625i −0.971624 0.236530i \(-0.923990\pi\)
0.280971 0.959716i \(-0.409343\pi\)
\(444\) 2.05792e15 + 1.18814e15i 0.268615 + 0.155085i
\(445\) 8.80475e15 1.52503e16i 1.13385 1.96389i
\(446\) −4.88672e15 + 2.82135e15i −0.620881 + 0.358466i
\(447\) 5.59573e15i 0.701474i
\(448\) 5.31222e14 8.59715e14i 0.0657064 0.106337i
\(449\) −2.06032e15 −0.251452 −0.125726 0.992065i \(-0.540126\pi\)
−0.125726 + 0.992065i \(0.540126\pi\)
\(450\) 1.38166e15 + 2.39311e15i 0.166390 + 0.288195i
\(451\) 1.83322e15 + 1.05841e15i 0.217849 + 0.125775i
\(452\) −3.99424e15 + 6.91823e15i −0.468386 + 0.811268i
\(453\) 2.85338e14 1.64740e14i 0.0330195 0.0190638i
\(454\) 7.73187e15i 0.882977i
\(455\) 7.93087e15 + 2.37062e14i 0.893825 + 0.0267173i
\(456\) 9.35328e14 0.104034
\(457\) 2.67562e15 + 4.63431e15i 0.293716 + 0.508731i 0.974685 0.223581i \(-0.0717748\pi\)
−0.680970 + 0.732312i \(0.738441\pi\)
\(458\) 8.04963e15 + 4.64746e15i 0.872134 + 0.503527i
\(459\) 6.84713e15 1.18596e16i 0.732204 1.26822i
\(460\) 9.17179e15 5.29534e15i 0.968071 0.558916i
\(461\) 1.28741e16i 1.34126i 0.741794 + 0.670628i \(0.233975\pi\)
−0.741794 + 0.670628i \(0.766025\pi\)
\(462\) −1.09347e15 + 5.88474e14i −0.112449 + 0.0605167i
\(463\) 1.65577e16 1.68079 0.840397 0.541972i \(-0.182322\pi\)
0.840397 + 0.541972i \(0.182322\pi\)
\(464\) −1.82841e15 3.16689e15i −0.183217 0.317341i
\(465\) 6.13398e15 + 3.54146e15i 0.606771 + 0.350320i
\(466\) −5.93259e15 + 1.02755e16i −0.579334 + 1.00344i
\(467\) −1.10442e16 + 6.37638e15i −1.06471 + 0.614713i −0.926733 0.375721i \(-0.877395\pi\)
−0.137982 + 0.990435i \(0.544062\pi\)
\(468\) 2.01991e15i 0.192246i
\(469\) −4.31730e15 8.02216e15i −0.405672 0.753797i
\(470\) 5.43384e15 0.504103
\(471\) 3.60472e15 + 6.24355e15i 0.330176 + 0.571882i
\(472\) 4.48385e15 + 2.58875e15i 0.405508 + 0.234120i
\(473\) 2.14780e15 3.72010e15i 0.191791 0.332191i
\(474\) −5.92030e14 + 3.41809e14i −0.0522004 + 0.0301379i
\(475\) 4.23398e15i 0.368627i
\(476\) 2.48360e14 8.30885e15i 0.0213520 0.714330i
\(477\) 2.94079e15 0.249663
\(478\) −5.81607e15 1.00737e16i −0.487598 0.844545i
\(479\) −1.62969e15 9.40903e14i −0.134925 0.0778990i 0.431018 0.902343i \(-0.358154\pi\)
−0.565943 + 0.824444i \(0.691488\pi\)
\(480\) 9.44510e14 1.63594e15i 0.0772252 0.133758i
\(481\) −6.80947e15 + 3.93145e15i −0.549848 + 0.317455i
\(482\) 6.25434e15i 0.498769i
\(483\) 1.16373e16 + 7.19076e15i 0.916581 + 0.566360i
\(484\) −5.92966e15 −0.461272
\(485\) −1.04518e16 1.81031e16i −0.803047 1.39092i
\(486\) −7.81766e15 4.51353e15i −0.593280 0.342530i
\(487\) −7.89345e15 + 1.36719e16i −0.591689 + 1.02483i 0.402316 + 0.915501i \(0.368205\pi\)
−0.994005 + 0.109334i \(0.965128\pi\)
\(488\) 5.54112e15 3.19917e15i 0.410279 0.236874i
\(489\) 1.43095e16i 1.04658i
\(490\) −7.87104e14 + 1.31545e16i −0.0568664 + 0.950380i
\(491\) 1.42083e16 1.01404 0.507018 0.861935i \(-0.330748\pi\)
0.507018 + 0.861935i \(0.330748\pi\)
\(492\) −2.07972e15 3.60219e15i −0.146627 0.253966i
\(493\) −2.60489e16 1.50394e16i −1.81430 1.04749i
\(494\) −1.54746e15 + 2.68028e15i −0.106477 + 0.184424i
\(495\) 2.76378e15 1.59567e15i 0.187877 0.108471i
\(496\) 2.98511e15i 0.200480i
\(497\) −6.62848e15 + 1.07274e16i −0.439821 + 0.711794i
\(498\) 7.26633e15 0.476364
\(499\) 1.08211e16 + 1.87427e16i 0.700919 + 1.21403i 0.968144 + 0.250394i \(0.0805601\pi\)
−0.267225 + 0.963634i \(0.586107\pi\)
\(500\) −1.70434e15 9.84001e14i −0.109078 0.0629761i
\(501\) 5.45731e14 9.45233e14i 0.0345106 0.0597740i
\(502\) −7.76087e15 + 4.48074e15i −0.484940 + 0.279980i
\(503\) 8.39579e15i 0.518387i −0.965825 0.259193i \(-0.916543\pi\)
0.965825 0.259193i \(-0.0834567\pi\)
\(504\) −3.35330e15 1.00233e14i −0.204592 0.00611546i
\(505\) −5.91834e15 −0.356822
\(506\) −2.74222e15 4.74966e15i −0.163380 0.282983i
\(507\) −5.33463e15 3.07995e15i −0.314092 0.181341i
\(508\) 5.69071e15 9.85661e15i 0.331119 0.573515i
\(509\) −6.22140e15 + 3.59193e15i −0.357752 + 0.206548i −0.668094 0.744077i \(-0.732890\pi\)
0.310342 + 0.950625i \(0.399556\pi\)
\(510\) 1.55379e16i 0.883023i
\(511\) 2.47932e15 1.33430e15i 0.139254 0.0749425i
\(512\) 7.96131e14 0.0441942
\(513\) −4.23407e15 7.33362e15i −0.232302 0.402359i
\(514\) 3.95370e13 + 2.28267e13i 0.00214400 + 0.00123784i
\(515\) 9.53187e15 1.65097e16i 0.510898 0.884902i
\(516\) −7.30982e15 + 4.22033e15i −0.387265 + 0.223588i
\(517\) 2.81394e15i 0.147357i
\(518\) −6.18879e15 1.14997e16i −0.320352 0.595259i
\(519\) −9.65137e15 −0.493838
\(520\) 3.12530e15 + 5.41318e15i 0.158078 + 0.273799i
\(521\) −1.71082e16 9.87744e15i −0.855418 0.493876i 0.00705697 0.999975i \(-0.497754\pi\)
−0.862475 + 0.506099i \(0.831087\pi\)
\(522\) −6.06961e15 + 1.05129e16i −0.300012 + 0.519635i
\(523\) 2.08364e16 1.20299e16i 1.01815 0.587831i 0.104585 0.994516i \(-0.466649\pi\)
0.913568 + 0.406685i \(0.133315\pi\)
\(524\) 3.13414e15i 0.151402i
\(525\) −3.30005e14 + 1.10403e16i −0.0157603 + 0.527260i
\(526\) 1.34659e15 0.0635802
\(527\) 1.22768e16 + 2.12641e16i 0.573090 + 0.992622i
\(528\) −8.47180e14 4.89120e14i −0.0390996 0.0225742i
\(529\) −1.92520e16 + 3.33454e16i −0.878500 + 1.52161i
\(530\) 7.88106e15 4.55013e15i 0.355573 0.205290i
\(531\) 1.71873e16i 0.766728i
\(532\) −4.37281e15 2.70198e15i −0.192881 0.119182i
\(533\) 1.37632e16 0.600285
\(534\) 8.95936e15 + 1.55181e16i 0.386393 + 0.669253i
\(535\) 2.48767e16 + 1.43626e16i 1.06089 + 0.612504i
\(536\) 3.58840e15 6.21529e15i 0.151325 0.262103i
\(537\) 1.41238e16 8.15437e15i 0.588987 0.340052i
\(538\) 3.54796e15i 0.146314i
\(539\) 6.81212e15 + 4.07606e14i 0.277811 + 0.0166229i
\(540\) −1.71025e16 −0.689760
\(541\) 1.19235e16 + 2.06521e16i 0.475575 + 0.823721i 0.999609 0.0279771i \(-0.00890654\pi\)
−0.524033 + 0.851698i \(0.675573\pi\)
\(542\) −1.06679e16 6.15909e15i −0.420806 0.242952i
\(543\) 1.64828e15 2.85490e15i 0.0643030 0.111376i
\(544\) 5.67116e15 3.27425e15i 0.218816 0.126333i
\(545\) 6.89681e13i 0.00263190i
\(546\) −4.24398e15 + 6.86833e15i −0.160183 + 0.259236i
\(547\) −3.24286e16 −1.21061 −0.605305 0.795993i \(-0.706949\pi\)
−0.605305 + 0.795993i \(0.706949\pi\)
\(548\) 9.18243e15 + 1.59044e16i 0.339058 + 0.587266i
\(549\) −1.83944e16 1.06200e16i −0.671818 0.387874i
\(550\) 2.21411e15 3.83496e15i 0.0799878 0.138543i
\(551\) −1.61079e16 + 9.29991e15i −0.575612 + 0.332330i
\(552\) 1.07766e16i 0.380934i
\(553\) 3.75525e15 + 1.12248e14i 0.131307 + 0.00392490i
\(554\) 3.48841e16 1.20661
\(555\) −1.22052e16 2.11401e16i −0.417626 0.723350i
\(556\) 2.06575e16 + 1.19266e16i 0.699245 + 0.403709i
\(557\) 5.91971e15 1.02532e16i 0.198230 0.343344i −0.749725 0.661750i \(-0.769814\pi\)
0.947955 + 0.318406i \(0.103147\pi\)
\(558\) 8.58181e15 4.95471e15i 0.284298 0.164140i
\(559\) 2.79294e16i 0.915356i
\(560\) −9.14164e15 + 4.91977e15i −0.296412 + 0.159521i
\(561\) −8.04640e15 −0.258122
\(562\) 1.29361e16 + 2.24059e16i 0.410567 + 0.711124i
\(563\) 2.21804e16 + 1.28059e16i 0.696498 + 0.402123i 0.806042 0.591859i \(-0.201606\pi\)
−0.109544 + 0.993982i \(0.534939\pi\)
\(564\) −2.76463e15 + 4.78848e15i −0.0858938 + 0.148772i
\(565\) 7.10679e16 4.10311e16i 2.18465 1.26131i
\(566\) 7.14637e15i 0.217364i
\(567\) −1.35270e15 2.51352e15i −0.0407103 0.0756456i
\(568\) −9.93397e15 −0.295824
\(569\) 1.94844e16 + 3.37479e16i 0.574133 + 0.994427i 0.996135 + 0.0878326i \(0.0279940\pi\)
−0.422002 + 0.906595i \(0.638673\pi\)
\(570\) −8.32095e15 4.80410e15i −0.242618 0.140076i
\(571\) 2.35800e15 4.08417e15i 0.0680341 0.117839i −0.830002 0.557761i \(-0.811661\pi\)
0.898036 + 0.439922i \(0.144994\pi\)
\(572\) 2.80324e15 1.61845e15i 0.0800359 0.0462087i
\(573\) 3.35846e16i 0.948882i
\(574\) −6.82971e14 + 2.28487e16i −0.0190955 + 0.638838i
\(575\) −4.87830e16 −1.34978
\(576\) −1.32143e15 2.28878e15i −0.0361833 0.0626713i
\(577\) −2.14410e16 1.23789e16i −0.581017 0.335451i 0.180520 0.983571i \(-0.442222\pi\)
−0.761538 + 0.648121i \(0.775555\pi\)
\(578\) 1.37487e16 2.38135e16i 0.368719 0.638640i
\(579\) 2.42649e16 1.40094e16i 0.644032 0.371832i
\(580\) 3.75648e16i 0.986764i
\(581\) −3.39712e16 2.09910e16i −0.883191 0.545728i
\(582\) 2.12707e16 0.547323
\(583\) −2.35631e15 4.08125e15i −0.0600097 0.103940i
\(584\) 1.92089e15 + 1.10903e15i 0.0484201 + 0.0279553i
\(585\) 1.03748e16 1.79697e16i 0.258848 0.448338i
\(586\) −1.38614e16 + 8.00287e15i −0.342311 + 0.197633i
\(587\) 1.29127e16i 0.315636i 0.987468 + 0.157818i \(0.0504460\pi\)
−0.987468 + 0.157818i \(0.949554\pi\)
\(588\) −1.11917e16 7.38636e15i −0.270790 0.178717i
\(589\) 1.51833e16 0.363642
\(590\) −2.65931e16 4.60606e16i −0.630459 1.09199i
\(591\) −3.91109e16 2.25807e16i −0.917853 0.529923i
\(592\) 5.14392e15 8.90952e15i 0.119499 0.206978i
\(593\) −5.03855e16 + 2.90901e16i −1.15872 + 0.668985i −0.950996 0.309203i \(-0.899938\pi\)
−0.207720 + 0.978188i \(0.566604\pi\)
\(594\) 8.85664e15i 0.201628i
\(595\) −4.48860e16 + 7.26423e16i −1.01160 + 1.63715i
\(596\) −2.42261e16 −0.540512
\(597\) −6.02168e15 1.04299e16i −0.133006 0.230374i
\(598\) −3.08816e16 1.78295e16i −0.675293 0.389881i
\(599\) −7.72257e15 + 1.33759e16i −0.167186 + 0.289575i −0.937430 0.348175i \(-0.886802\pi\)
0.770243 + 0.637750i \(0.220135\pi\)
\(600\) −7.53550e15 + 4.35062e15i −0.161512 + 0.0932490i
\(601\) 5.16840e16i 1.09675i 0.836231 + 0.548377i \(0.184754\pi\)
−0.836231 + 0.548377i \(0.815246\pi\)
\(602\) 4.63662e16 + 1.38593e15i 0.974144 + 0.0291181i
\(603\) −2.38242e16 −0.495581
\(604\) −7.13222e14 1.23534e15i −0.0146894 0.0254427i
\(605\) 5.27520e16 + 3.04564e16i 1.07574 + 0.621077i
\(606\) 3.01113e15 5.21543e15i 0.0607986 0.105306i
\(607\) 1.25871e16 7.26718e15i 0.251648 0.145289i −0.368870 0.929481i \(-0.620255\pi\)
0.620519 + 0.784192i \(0.286922\pi\)
\(608\) 4.04940e15i 0.0801621i
\(609\) −4.27270e16 + 2.29945e16i −0.837526 + 0.450733i
\(610\) −6.57273e16 −1.27575
\(611\) −9.14791e15 1.58446e16i −0.175823 0.304534i
\(612\) −1.88261e16 1.08692e16i −0.358304 0.206867i
\(613\) 9.48835e15 1.64343e16i 0.178825 0.309734i −0.762654 0.646807i \(-0.776104\pi\)
0.941478 + 0.337074i \(0.109437\pi\)
\(614\) 2.46531e16 1.42335e16i 0.460110 0.265645i
\(615\) 4.27282e16i 0.789703i
\(616\) 2.54773e15 + 4.73405e15i 0.0466304 + 0.0866460i
\(617\) −5.51530e15 −0.0999674 −0.0499837 0.998750i \(-0.515917\pi\)
−0.0499837 + 0.998750i \(0.515917\pi\)
\(618\) 9.69925e15 + 1.67996e16i 0.174103 + 0.301556i
\(619\) 3.22376e16 + 1.86124e16i 0.573084 + 0.330870i 0.758380 0.651812i \(-0.225991\pi\)
−0.185296 + 0.982683i \(0.559324\pi\)
\(620\) 1.53323e16 2.65564e16i 0.269935 0.467540i
\(621\) 8.44964e16 4.87840e16i 1.47329 0.850605i
\(622\) 9.04246e15i 0.156151i
\(623\) 2.94221e15 9.84313e16i 0.0503205 1.68347i
\(624\) −6.36036e15 −0.107739
\(625\) 3.43349e16 + 5.94697e16i 0.576043 + 0.997736i
\(626\) −3.43157e16 1.98122e16i −0.570225 0.329220i
\(627\) −2.48783e15 + 4.30905e15i −0.0409464 + 0.0709212i
\(628\) 2.70308e16 1.56062e16i 0.440657 0.254413i
\(629\) 8.46214e16i 1.36640i
\(630\) 2.93171e16 + 1.81152e16i 0.468897 + 0.289734i
\(631\) 7.95855e16 1.26083 0.630417 0.776257i \(-0.282884\pi\)
0.630417 + 0.776257i \(0.282884\pi\)
\(632\) 1.47982e15 + 2.56313e15i 0.0232224 + 0.0402224i
\(633\) 2.53824e15 + 1.46545e15i 0.0394557 + 0.0227798i
\(634\) −7.24787e15 + 1.25537e16i −0.111603 + 0.193302i
\(635\) −1.01252e17 + 5.84582e16i −1.54441 + 0.891667i
\(636\) 9.26006e15i 0.139917i
\(637\) 3.96825e16 1.98505e16i 0.593968 0.297123i
\(638\) 1.94531e16 0.288447
\(639\) 1.64885e16 + 2.85589e16i 0.242201 + 0.419504i
\(640\) −7.08262e15 4.08915e15i −0.103066 0.0595050i
\(641\) −3.48282e16 + 6.03242e16i −0.502091 + 0.869648i 0.497906 + 0.867231i \(0.334103\pi\)
−0.999997 + 0.00241656i \(0.999231\pi\)
\(642\) −2.53135e16 + 1.46148e16i −0.361528 + 0.208728i
\(643\) 3.39087e16i 0.479784i −0.970800 0.239892i \(-0.922888\pi\)
0.970800 0.239892i \(-0.0771120\pi\)
\(644\) 3.11316e16 5.03825e16i 0.436402 0.706260i
\(645\) 8.67070e16 1.20419
\(646\) −1.66539e16 2.88455e16i −0.229151 0.396901i
\(647\) 2.81289e16 + 1.62402e16i 0.383466 + 0.221394i 0.679325 0.733837i \(-0.262273\pi\)
−0.295859 + 0.955232i \(0.595606\pi\)
\(648\) 1.12432e15 1.94738e15i 0.0151859 0.0263028i
\(649\) −2.38527e16 + 1.37714e16i −0.319205 + 0.184293i
\(650\) 2.87917e16i 0.381757i
\(651\) 3.95911e16 + 1.18342e15i 0.520130 + 0.0155472i
\(652\) 6.19516e16 0.806430
\(653\) 2.76124e16 + 4.78261e16i 0.356144 + 0.616859i 0.987313 0.158786i \(-0.0507580\pi\)
−0.631169 + 0.775645i \(0.717425\pi\)
\(654\) 6.07769e13 + 3.50896e13i 0.000776734 + 0.000448448i
\(655\) −1.60978e16 + 2.78822e16i −0.203854 + 0.353085i
\(656\) −1.55953e16 + 9.00394e15i −0.195691 + 0.112982i
\(657\) 7.36309e15i 0.0915520i
\(658\) 2.67580e16 1.44004e16i 0.329685 0.177427i
\(659\) −1.23419e16 −0.150685 −0.0753426 0.997158i \(-0.524005\pi\)
−0.0753426 + 0.997158i \(0.524005\pi\)
\(660\) 5.02451e15 + 8.70270e15i 0.0607897 + 0.105291i
\(661\) 5.94936e16 + 3.43486e16i 0.713282 + 0.411814i 0.812275 0.583275i \(-0.198229\pi\)
−0.0989930 + 0.995088i \(0.531562\pi\)
\(662\) 1.11174e16 1.92560e16i 0.132086 0.228780i
\(663\) −4.53074e16 + 2.61582e16i −0.533443 + 0.307983i
\(664\) 3.14588e16i 0.367057i
\(665\) 2.50237e16 + 4.64975e16i 0.289348 + 0.537650i
\(666\) −3.41517e16 −0.391351
\(667\) −1.07152e17 1.85592e17i −1.21687 2.10768i
\(668\) −4.09228e15 2.36268e15i −0.0460582 0.0265917i
\(669\) −2.94914e16 + 5.10806e16i −0.328957 + 0.569770i
\(670\) −6.38469e16 + 3.68620e16i −0.705815 + 0.407502i
\(671\) 3.40372e16i 0.372923i
\(672\) 3.15619e14 1.05590e16i 0.00342726 0.114659i
\(673\) −2.37216e16 −0.255301 −0.127651 0.991819i \(-0.540744\pi\)
−0.127651 + 0.991819i \(0.540744\pi\)
\(674\) 2.63549e16 + 4.56481e16i 0.281127 + 0.486926i
\(675\) 6.82238e16 + 3.93890e16i 0.721296 + 0.416440i
\(676\) −1.33343e16 + 2.30957e16i −0.139730 + 0.242020i
\(677\) −4.24573e15 + 2.45127e15i −0.0440981 + 0.0254601i −0.521887 0.853015i \(-0.674772\pi\)
0.477789 + 0.878475i \(0.341438\pi\)
\(678\) 8.35031e16i 0.859656i
\(679\) −9.94438e16 6.14468e16i −1.01475 0.627019i
\(680\) −6.72697e16 −0.680403
\(681\) −4.04104e16 6.99928e16i −0.405145 0.701731i
\(682\) −1.37524e16 7.93994e15i −0.136669 0.0789062i
\(683\) −3.56599e16 + 6.17648e16i −0.351282 + 0.608438i −0.986474 0.163916i \(-0.947588\pi\)
0.635192 + 0.772354i \(0.280921\pi\)
\(684\) −1.16415e16 + 6.72123e15i −0.113677 + 0.0656314i
\(685\) 1.88654e17i 1.82609i
\(686\) 3.09852e16 + 6.68630e16i 0.297310 + 0.641566i
\(687\) 9.71592e16 0.924152
\(688\) 1.82714e16 + 3.16470e16i 0.172283 + 0.298403i
\(689\) −2.65356e16 1.53204e16i −0.248036 0.143204i
\(690\) 5.53518e16 9.58722e16i 0.512906 0.888379i
\(691\) −2.36455e16 + 1.36517e16i −0.217210 + 0.125406i −0.604658 0.796485i \(-0.706690\pi\)
0.387448 + 0.921892i \(0.373357\pi\)
\(692\) 4.17845e16i 0.380521i
\(693\) 9.38104e15 1.51820e16i 0.0846938 0.137066i
\(694\) 1.53956e16 0.137797
\(695\) −1.22517e17 2.12206e17i −1.08714 1.88299i
\(696\) −3.31033e16 1.91122e16i −0.291217 0.168134i
\(697\) −7.40609e16 + 1.28277e17i −0.645940 + 1.11880i
\(698\) −1.35436e17 + 7.81942e16i −1.17112 + 0.676148i
\(699\) 1.24026e17i 1.06329i
\(700\) 4.77978e16 + 1.42872e15i 0.406274 + 0.0121439i
\(701\) 7.58708e16 0.639391 0.319695 0.947520i \(-0.396419\pi\)
0.319695 + 0.947520i \(0.396419\pi\)
\(702\) 2.87922e16 + 4.98696e16i 0.240576 + 0.416690i
\(703\) −4.53169e16 2.61637e16i −0.375429 0.216754i
\(704\) −2.11759e15 + 3.66777e15i −0.0173943 + 0.0301277i
\(705\) 4.91899e16 2.83998e16i 0.400628 0.231302i
\(706\) 6.26237e16i 0.505720i
\(707\) −2.91439e16 + 1.56844e16i −0.233362 + 0.125589i
\(708\) 5.41201e16 0.429694
\(709\) −3.17487e16 5.49903e16i −0.249947 0.432921i 0.713564 0.700590i \(-0.247080\pi\)
−0.963511 + 0.267669i \(0.913747\pi\)
\(710\) 8.83755e16 + 5.10236e16i 0.689893 + 0.398310i
\(711\) 4.91245e15 8.50861e15i 0.0380260 0.0658629i
\(712\) 6.71838e16 3.87886e16i 0.515685 0.297731i
\(713\) 1.74939e17i 1.33152i
\(714\) −4.11777e16 7.65140e16i −0.310794 0.577499i
\(715\) −3.32513e16 −0.248870
\(716\) −3.53035e16 6.11474e16i −0.262023 0.453837i
\(717\) −1.05300e17 6.07950e16i −0.775021 0.447459i
\(718\) −2.26090e16 + 3.91600e16i −0.165020 + 0.285822i
\(719\) 2.29564e16 1.32539e16i 0.166162 0.0959334i −0.414613 0.909998i \(-0.636083\pi\)
0.580775 + 0.814064i \(0.302750\pi\)
\(720\) 2.71488e16i 0.194875i
\(721\) 3.18518e15 1.06560e17i 0.0226737 0.758547i
\(722\) 7.95666e16 0.561704
\(723\) −3.26881e16 5.66175e16i −0.228855 0.396388i
\(724\) −1.23600e16 7.13603e15i −0.0858195 0.0495479i
\(725\) 8.65160e16 1.49850e17i 0.595756 1.03188i
\(726\) −5.36783e16 + 3.09912e16i −0.366589 + 0.211650i
\(727\) 9.07684e16i 0.614792i −0.951582 0.307396i \(-0.900542\pi\)
0.951582 0.307396i \(-0.0994576\pi\)
\(728\) 2.97357e16 + 1.83738e16i 0.199751 + 0.123427i
\(729\) −1.07253e17 −0.714570
\(730\) −1.13925e16 1.97324e16i −0.0752806 0.130390i
\(731\) 2.60309e17 + 1.50290e17i 1.70603 + 0.984974i
\(732\) 3.34407e16 5.79210e16i 0.217375 0.376504i
\(733\) −1.30636e17 + 7.54227e16i −0.842246 + 0.486271i −0.858027 0.513605i \(-0.828310\pi\)
0.0157811 + 0.999875i \(0.494977\pi\)
\(734\) 1.73512e17i 1.10957i
\(735\) 6.16262e16 + 1.23195e17i 0.390878 + 0.781391i
\(736\) 4.66563e16 0.293524
\(737\) 1.90892e16 + 3.30634e16i 0.119119 + 0.206321i
\(738\) 5.17704e16 + 2.98896e16i 0.320437 + 0.185005i
\(739\) 1.07535e17 1.86257e17i 0.660213 1.14352i −0.320346 0.947301i \(-0.603799\pi\)
0.980559 0.196222i \(-0.0628674\pi\)
\(740\) −9.15236e16 + 5.28411e16i −0.557369 + 0.321797i
\(741\) 3.23510e16i 0.195424i
\(742\) 2.67505e16 4.32923e16i 0.160291 0.259410i
\(743\) 1.73261e17 1.02984 0.514919 0.857239i \(-0.327822\pi\)
0.514919 + 0.857239i \(0.327822\pi\)
\(744\) 1.56016e16 + 2.70227e16i 0.0919880 + 0.159328i
\(745\) 2.15522e17 + 1.24432e17i 1.26053 + 0.727770i
\(746\) 3.38602e16 5.86476e16i 0.196452 0.340265i
\(747\) −9.04400e16 + 5.22155e16i −0.520519 + 0.300522i
\(748\) 3.48360e16i 0.198893i
\(749\) 1.60564e17 + 4.79941e15i 0.909404 + 0.0271830i
\(750\) −2.05714e16 −0.115584
\(751\) 8.30820e16 + 1.43902e17i 0.463092 + 0.802099i 0.999113 0.0421056i \(-0.0134066\pi\)
−0.536021 + 0.844205i \(0.680073\pi\)
\(752\) 2.07312e16 + 1.19691e16i 0.114635 + 0.0661845i
\(753\) −4.68369e16 + 8.11239e16i −0.256932 + 0.445020i
\(754\) 1.09536e17 6.32407e16i 0.596113 0.344166i
\(755\) 1.46532e16i 0.0791137i
\(756\) −8.42186e16 + 4.53241e16i −0.451104 +