Properties

Label 43.11.d.a.7.8
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.8
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.29

$q$-expansion

\(f(q)\) \(=\) \(q-41.6701i q^{2} +(347.294 - 200.510i) q^{3} -712.398 q^{4} +(-2813.29 + 1624.26i) q^{5} +(-8355.28 - 14471.8i) q^{6} +(-3430.02 - 1980.32i) q^{7} -12984.5i q^{8} +(50884.2 - 88134.0i) q^{9} +O(q^{10})\) \(q-41.6701i q^{2} +(347.294 - 200.510i) q^{3} -712.398 q^{4} +(-2813.29 + 1624.26i) q^{5} +(-8355.28 - 14471.8i) q^{6} +(-3430.02 - 1980.32i) q^{7} -12984.5i q^{8} +(50884.2 - 88134.0i) q^{9} +(67682.9 + 117230. i) q^{10} -194386. q^{11} +(-247411. + 142843. i) q^{12} +(-162297. + 281107. i) q^{13} +(-82520.2 + 142929. i) q^{14} +(-651359. + 1.12819e6i) q^{15} -1.27056e6 q^{16} +(506714. - 877654. i) q^{17} +(-3.67255e6 - 2.12035e6i) q^{18} +(-944110. + 545082. i) q^{19} +(2.00418e6 - 1.15712e6i) q^{20} -1.58830e6 q^{21} +8.10008e6i q^{22} +(-3.26678e6 - 5.65823e6i) q^{23} +(-2.60352e6 - 4.50943e6i) q^{24} +(393599. - 681733. i) q^{25} +(1.17138e7 + 6.76294e6i) q^{26} -1.71313e7i q^{27} +(2.44354e6 + 1.41078e6i) q^{28} +(-5.32700e6 - 3.07555e6i) q^{29} +(4.70117e7 + 2.71422e7i) q^{30} +(-8.01681e6 - 1.38855e7i) q^{31} +3.96483e7i q^{32} +(-6.75090e7 + 3.89763e7i) q^{33} +(-3.65719e7 - 2.11148e7i) q^{34} +1.28662e7 q^{35} +(-3.62498e7 + 6.27864e7i) q^{36} +(-1.45120e7 + 8.37854e6i) q^{37} +(2.27136e7 + 3.93411e7i) q^{38} +1.30169e8i q^{39} +(2.10901e7 + 3.65292e7i) q^{40} +4.23364e7 q^{41} +6.61846e7i q^{42} +(1.42570e8 - 3.58496e7i) q^{43} +1.38480e8 q^{44} +3.30596e8i q^{45} +(-2.35779e8 + 1.36127e8i) q^{46} +4.42952e8 q^{47} +(-4.41258e8 + 2.54760e8i) q^{48} +(-1.33394e8 - 2.31046e8i) q^{49} +(-2.84079e7 - 1.64013e7i) q^{50} -4.06405e8i q^{51} +(1.15620e8 - 2.00260e8i) q^{52} +(-2.99037e8 - 5.17947e8i) q^{53} -7.13864e8 q^{54} +(5.46864e8 - 3.15732e8i) q^{55} +(-2.57135e7 + 4.45370e7i) q^{56} +(-2.18589e8 + 3.78607e8i) q^{57} +(-1.28158e8 + 2.21977e8i) q^{58} -5.57635e8 q^{59} +(4.64027e8 - 8.03719e8i) q^{60} +(1.14384e9 + 6.60398e8i) q^{61} +(-5.78611e8 + 3.34061e8i) q^{62} +(-3.49067e8 + 2.01534e8i) q^{63} +3.51094e8 q^{64} -1.05445e9i q^{65} +(1.62415e9 + 2.81311e9i) q^{66} +(-7.23510e8 - 1.25316e9i) q^{67} +(-3.60982e8 + 6.25239e8i) q^{68} +(-2.26907e9 - 1.31005e9i) q^{69} -5.36136e8i q^{70} +(-1.02446e9 - 5.91472e8i) q^{71} +(-1.14437e9 - 6.60705e8i) q^{72} +(3.09763e8 + 1.78842e8i) q^{73} +(3.49134e8 + 6.04719e8i) q^{74} -3.15682e8i q^{75} +(6.72582e8 - 3.88315e8i) q^{76} +(6.66747e8 + 3.84946e8i) q^{77} +5.42415e9 q^{78} +(2.08930e9 - 3.61877e9i) q^{79} +(3.57446e9 - 2.06372e9i) q^{80} +(-4.30345e8 - 7.45379e8i) q^{81} -1.76416e9i q^{82} +(6.55606e8 + 1.13554e9i) q^{83} +1.13150e9 q^{84} +3.29213e9i q^{85} +(-1.49386e9 - 5.94092e9i) q^{86} -2.46671e9 q^{87} +2.52400e9i q^{88} +(3.01491e9 - 1.74066e9i) q^{89} +1.37760e10 q^{90} +(1.11336e9 - 6.42801e8i) q^{91} +(2.32725e9 + 4.03091e9i) q^{92} +(-5.56838e9 - 3.21491e9i) q^{93} -1.84579e10i q^{94} +(1.77070e9 - 3.06695e9i) q^{95} +(7.94988e9 + 1.37696e10i) q^{96} -1.56575e10 q^{97} +(-9.62770e9 + 5.55855e9i) q^{98} +(-9.89116e9 + 1.71320e10i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 41.6701i 1.30219i −0.758996 0.651095i \(-0.774310\pi\)
0.758996 0.651095i \(-0.225690\pi\)
\(3\) 347.294 200.510i 1.42919 0.825145i 0.432136 0.901809i \(-0.357760\pi\)
0.997057 + 0.0766639i \(0.0244268\pi\)
\(4\) −712.398 −0.695701
\(5\) −2813.29 + 1624.26i −0.900254 + 0.519762i −0.877282 0.479974i \(-0.840646\pi\)
−0.0229712 + 0.999736i \(0.507313\pi\)
\(6\) −8355.28 14471.8i −1.07450 1.86108i
\(7\) −3430.02 1980.32i −0.204083 0.117827i 0.394476 0.918906i \(-0.370926\pi\)
−0.598558 + 0.801079i \(0.704260\pi\)
\(8\) 12984.5i 0.396255i
\(9\) 50884.2 88134.0i 0.861728 1.49256i
\(10\) 67682.9 + 117230.i 0.676829 + 1.17230i
\(11\) −194386. −1.20698 −0.603491 0.797370i \(-0.706224\pi\)
−0.603491 + 0.797370i \(0.706224\pi\)
\(12\) −247411. + 142843.i −0.994291 + 0.574054i
\(13\) −162297. + 281107.i −0.437113 + 0.757103i −0.997465 0.0711518i \(-0.977333\pi\)
0.560352 + 0.828255i \(0.310666\pi\)
\(14\) −82520.2 + 142929.i −0.153433 + 0.265755i
\(15\) −651359. + 1.12819e6i −0.857757 + 1.48568i
\(16\) −1.27056e6 −1.21170
\(17\) 506714. 877654.i 0.356877 0.618129i −0.630561 0.776140i \(-0.717175\pi\)
0.987437 + 0.158011i \(0.0505083\pi\)
\(18\) −3.67255e6 2.12035e6i −1.94359 1.12213i
\(19\) −944110. + 545082.i −0.381289 + 0.220137i −0.678379 0.734712i \(-0.737317\pi\)
0.297090 + 0.954850i \(0.403984\pi\)
\(20\) 2.00418e6 1.15712e6i 0.626307 0.361599i
\(21\) −1.58830e6 −0.388898
\(22\) 8.10008e6i 1.57172i
\(23\) −3.26678e6 5.65823e6i −0.507552 0.879106i −0.999962 0.00874261i \(-0.997217\pi\)
0.492410 0.870364i \(-0.336116\pi\)
\(24\) −2.60352e6 4.50943e6i −0.326968 0.566325i
\(25\) 393599. 681733.i 0.0403045 0.0698095i
\(26\) 1.17138e7 + 6.76294e6i 0.985892 + 0.569205i
\(27\) 1.71313e7i 1.19391i
\(28\) 2.44354e6 + 1.41078e6i 0.141981 + 0.0819725i
\(29\) −5.32700e6 3.07555e6i −0.259713 0.149945i 0.364491 0.931207i \(-0.381243\pi\)
−0.624203 + 0.781262i \(0.714576\pi\)
\(30\) 4.70117e7 + 2.71422e7i 1.93464 + 1.11696i
\(31\) −8.01681e6 1.38855e7i −0.280023 0.485014i 0.691367 0.722503i \(-0.257009\pi\)
−0.971390 + 0.237490i \(0.923675\pi\)
\(32\) 3.96483e7i 1.18161i
\(33\) −6.75090e7 + 3.89763e7i −1.72501 + 0.995935i
\(34\) −3.65719e7 2.11148e7i −0.804921 0.464722i
\(35\) 1.28662e7 0.244968
\(36\) −3.62498e7 + 6.27864e7i −0.599505 + 1.03837i
\(37\) −1.45120e7 + 8.37854e6i −0.209276 + 0.120826i −0.600975 0.799268i \(-0.705221\pi\)
0.391699 + 0.920094i \(0.371888\pi\)
\(38\) 2.27136e7 + 3.93411e7i 0.286661 + 0.496511i
\(39\) 1.30169e8i 1.44273i
\(40\) 2.10901e7 + 3.65292e7i 0.205958 + 0.356730i
\(41\) 4.23364e7 0.365422 0.182711 0.983167i \(-0.441513\pi\)
0.182711 + 0.983167i \(0.441513\pi\)
\(42\) 6.61846e7i 0.506419i
\(43\) 1.42570e8 3.58496e7i 0.969810 0.243861i
\(44\) 1.38480e8 0.839699
\(45\) 3.30596e8i 1.79157i
\(46\) −2.35779e8 + 1.36127e8i −1.14476 + 0.660930i
\(47\) 4.42952e8 1.93138 0.965690 0.259698i \(-0.0836231\pi\)
0.965690 + 0.259698i \(0.0836231\pi\)
\(48\) −4.41258e8 + 2.54760e8i −1.73175 + 0.999829i
\(49\) −1.33394e8 2.31046e8i −0.472234 0.817932i
\(50\) −2.84079e7 1.64013e7i −0.0909053 0.0524842i
\(51\) 4.06405e8i 1.17790i
\(52\) 1.15620e8 2.00260e8i 0.304100 0.526717i
\(53\) −2.99037e8 5.17947e8i −0.715065 1.23853i −0.962934 0.269736i \(-0.913064\pi\)
0.247869 0.968794i \(-0.420270\pi\)
\(54\) −7.13864e8 −1.55470
\(55\) 5.46864e8 3.15732e8i 1.08659 0.627343i
\(56\) −2.57135e7 + 4.45370e7i −0.0466896 + 0.0808688i
\(57\) −2.18589e8 + 3.78607e8i −0.363290 + 0.629237i
\(58\) −1.28158e8 + 2.21977e8i −0.195257 + 0.338195i
\(59\) −5.57635e8 −0.779992 −0.389996 0.920817i \(-0.627524\pi\)
−0.389996 + 0.920817i \(0.627524\pi\)
\(60\) 4.64027e8 8.03719e8i 0.596743 1.03359i
\(61\) 1.14384e9 + 6.60398e8i 1.35431 + 0.781910i 0.988850 0.148918i \(-0.0475790\pi\)
0.365458 + 0.930828i \(0.380912\pi\)
\(62\) −5.78611e8 + 3.34061e8i −0.631580 + 0.364643i
\(63\) −3.49067e8 + 2.01534e8i −0.351727 + 0.203070i
\(64\) 3.51094e8 0.326982
\(65\) 1.05445e9i 0.908779i
\(66\) 1.62415e9 + 2.81311e9i 1.29690 + 2.24629i
\(67\) −7.23510e8 1.25316e9i −0.535884 0.928178i −0.999120 0.0419430i \(-0.986645\pi\)
0.463236 0.886235i \(-0.346688\pi\)
\(68\) −3.60982e8 + 6.25239e8i −0.248280 + 0.430033i
\(69\) −2.26907e9 1.31005e9i −1.45078 0.837608i
\(70\) 5.36136e8i 0.318995i
\(71\) −1.02446e9 5.91472e8i −0.567810 0.327825i 0.188464 0.982080i \(-0.439649\pi\)
−0.756274 + 0.654255i \(0.772982\pi\)
\(72\) −1.14437e9 6.60705e8i −0.591433 0.341464i
\(73\) 3.09763e8 + 1.78842e8i 0.149422 + 0.0862690i 0.572847 0.819662i \(-0.305839\pi\)
−0.423425 + 0.905931i \(0.639172\pi\)
\(74\) 3.49134e8 + 6.04719e8i 0.157338 + 0.272518i
\(75\) 3.15682e8i 0.133028i
\(76\) 6.72582e8 3.88315e8i 0.265263 0.153150i
\(77\) 6.66747e8 + 3.84946e8i 0.246324 + 0.142215i
\(78\) 5.42415e9 1.87871
\(79\) 2.08930e9 3.61877e9i 0.678992 1.17605i −0.296293 0.955097i \(-0.595750\pi\)
0.975285 0.220951i \(-0.0709162\pi\)
\(80\) 3.57446e9 2.06372e9i 1.09084 0.629796i
\(81\) −4.30345e8 7.45379e8i −0.123422 0.213773i
\(82\) 1.76416e9i 0.475850i
\(83\) 6.55606e8 + 1.13554e9i 0.166438 + 0.288279i 0.937165 0.348886i \(-0.113440\pi\)
−0.770727 + 0.637166i \(0.780107\pi\)
\(84\) 1.13150e9 0.270557
\(85\) 3.29213e9i 0.741963i
\(86\) −1.49386e9 5.94092e9i −0.317553 1.26288i
\(87\) −2.46671e9 −0.494906
\(88\) 2.52400e9i 0.478273i
\(89\) 3.01491e9 1.74066e9i 0.539915 0.311720i −0.205130 0.978735i \(-0.565762\pi\)
0.745044 + 0.667015i \(0.232428\pi\)
\(90\) 1.37760e10 2.33297
\(91\) 1.11336e9 6.42801e8i 0.178415 0.103008i
\(92\) 2.32725e9 + 4.03091e9i 0.353105 + 0.611595i
\(93\) −5.56838e9 3.21491e9i −0.800413 0.462119i
\(94\) 1.84579e10i 2.51502i
\(95\) 1.77070e9 3.06695e9i 0.228838 0.396359i
\(96\) 7.94988e9 + 1.37696e10i 0.975000 + 1.68875i
\(97\) −1.56575e10 −1.82333 −0.911663 0.410938i \(-0.865201\pi\)
−0.911663 + 0.410938i \(0.865201\pi\)
\(98\) −9.62770e9 + 5.55855e9i −1.06510 + 0.614938i
\(99\) −9.89116e9 + 1.71320e10i −1.04009 + 1.80149i
\(100\) −2.80399e8 + 4.85665e8i −0.0280399 + 0.0485665i
\(101\) 5.92032e9 1.02543e10i 0.563298 0.975661i −0.433907 0.900957i \(-0.642866\pi\)
0.997206 0.0747039i \(-0.0238011\pi\)
\(102\) −1.69349e10 −1.53385
\(103\) −3.27718e9 + 5.67625e9i −0.282693 + 0.489638i −0.972047 0.234786i \(-0.924561\pi\)
0.689354 + 0.724424i \(0.257894\pi\)
\(104\) 3.65003e9 + 2.10735e9i 0.300006 + 0.173209i
\(105\) 4.46835e9 2.57980e9i 0.350107 0.202134i
\(106\) −2.15829e10 + 1.24609e10i −1.61280 + 0.931152i
\(107\) −2.44314e10 −1.74193 −0.870964 0.491347i \(-0.836505\pi\)
−0.870964 + 0.491347i \(0.836505\pi\)
\(108\) 1.22043e10i 0.830605i
\(109\) −8.12731e9 1.40769e10i −0.528220 0.914903i −0.999459 0.0328977i \(-0.989526\pi\)
0.471239 0.882006i \(-0.343807\pi\)
\(110\) −1.31566e10 2.27879e10i −0.816921 1.41495i
\(111\) −3.35996e9 + 5.81963e9i −0.199397 + 0.345367i
\(112\) 4.35805e9 + 2.51612e9i 0.247287 + 0.142771i
\(113\) 1.71370e10i 0.930125i 0.885278 + 0.465063i \(0.153968\pi\)
−0.885278 + 0.465063i \(0.846032\pi\)
\(114\) 1.57766e10 + 9.10863e9i 0.819387 + 0.473073i
\(115\) 1.83808e10 + 1.06122e10i 0.913852 + 0.527612i
\(116\) 3.79495e9 + 2.19101e9i 0.180682 + 0.104317i
\(117\) 1.65167e10 + 2.86078e10i 0.753346 + 1.30483i
\(118\) 2.32367e10i 1.01570i
\(119\) −3.47608e9 + 2.00691e9i −0.145665 + 0.0840996i
\(120\) 1.46489e10 + 8.45757e9i 0.588708 + 0.339891i
\(121\) 1.18484e10 0.456807
\(122\) 2.75189e10 4.76641e10i 1.01820 1.76357i
\(123\) 1.47032e10 8.48889e9i 0.522259 0.301526i
\(124\) 5.71116e9 + 9.89202e9i 0.194812 + 0.337425i
\(125\) 2.91665e10i 0.955728i
\(126\) 8.39794e9 + 1.45457e10i 0.264436 + 0.458016i
\(127\) −3.92449e10 −1.18786 −0.593930 0.804517i \(-0.702424\pi\)
−0.593930 + 0.804517i \(0.702424\pi\)
\(128\) 2.59697e10i 0.755818i
\(129\) 4.23256e10 4.10371e10i 1.18483 1.14876i
\(130\) −4.39390e10 −1.18340
\(131\) 1.72831e10i 0.447987i −0.974591 0.223993i \(-0.928091\pi\)
0.974591 0.223993i \(-0.0719094\pi\)
\(132\) 4.80932e10 2.77666e10i 1.20009 0.692873i
\(133\) 4.31775e9 0.103753
\(134\) −5.22191e10 + 3.01487e10i −1.20866 + 0.697823i
\(135\) 2.78256e10 + 4.81954e10i 0.620549 + 1.07482i
\(136\) −1.13959e10 6.57942e9i −0.244937 0.141414i
\(137\) 2.27484e10i 0.471354i −0.971831 0.235677i \(-0.924269\pi\)
0.971831 0.235677i \(-0.0757308\pi\)
\(138\) −5.45897e10 + 9.45522e10i −1.09073 + 1.88919i
\(139\) −4.12099e9 7.13777e9i −0.0794196 0.137559i 0.823580 0.567200i \(-0.191973\pi\)
−0.903000 + 0.429641i \(0.858640\pi\)
\(140\) −9.16585e9 −0.170425
\(141\) 1.53835e11 8.88164e10i 2.76031 1.59367i
\(142\) −2.46467e10 + 4.26894e10i −0.426891 + 0.739397i
\(143\) 3.15483e10 5.46432e10i 0.527588 0.913810i
\(144\) −6.46514e10 + 1.11980e11i −1.04416 + 1.80853i
\(145\) 1.99819e10 0.311743
\(146\) 7.45236e9 1.29079e10i 0.112339 0.194576i
\(147\) −9.26540e10 5.34938e10i −1.34983 0.779322i
\(148\) 1.03384e10 5.96885e9i 0.145594 0.0840586i
\(149\) 7.43539e10 4.29283e10i 1.01245 0.584537i 0.100540 0.994933i \(-0.467943\pi\)
0.911907 + 0.410396i \(0.134610\pi\)
\(150\) −1.31545e10 −0.173228
\(151\) 1.22872e11i 1.56520i 0.622526 + 0.782599i \(0.286106\pi\)
−0.622526 + 0.782599i \(0.713894\pi\)
\(152\) 7.07761e9 + 1.22588e10i 0.0872306 + 0.151088i
\(153\) −5.15674e10 8.93174e10i −0.615061 1.06532i
\(154\) 1.60408e10 2.77834e10i 0.185192 0.320761i
\(155\) 4.51073e10 + 2.60427e10i 0.504183 + 0.291090i
\(156\) 9.27321e10i 1.00371i
\(157\) 9.13629e10 + 5.27484e10i 0.957793 + 0.552982i 0.895493 0.445076i \(-0.146823\pi\)
0.0622997 + 0.998057i \(0.480157\pi\)
\(158\) −1.50794e11 8.70612e10i −1.53144 0.884177i
\(159\) −2.07707e11 1.19920e11i −2.04393 1.18006i
\(160\) −6.43989e10 1.11542e11i −0.614156 1.06375i
\(161\) 2.58771e10i 0.239214i
\(162\) −3.10600e10 + 1.79325e10i −0.278373 + 0.160719i
\(163\) −1.58289e11 9.13883e10i −1.37567 0.794242i −0.384033 0.923320i \(-0.625465\pi\)
−0.991634 + 0.129078i \(0.958798\pi\)
\(164\) −3.01604e10 −0.254225
\(165\) 1.26615e11 2.19304e11i 1.03530 1.79319i
\(166\) 4.73182e10 2.73192e10i 0.375395 0.216734i
\(167\) 2.79398e10 + 4.83932e10i 0.215100 + 0.372565i 0.953304 0.302013i \(-0.0976588\pi\)
−0.738203 + 0.674578i \(0.764325\pi\)
\(168\) 2.06233e10i 0.154103i
\(169\) 1.62485e10 + 2.81432e10i 0.117864 + 0.204146i
\(170\) 1.37183e11 0.966178
\(171\) 1.10944e11i 0.758794i
\(172\) −1.01567e11 + 2.55392e10i −0.674698 + 0.169654i
\(173\) 2.69687e11 1.74032 0.870159 0.492770i \(-0.164016\pi\)
0.870159 + 0.492770i \(0.164016\pi\)
\(174\) 1.02788e11i 0.644462i
\(175\) −2.70010e9 + 1.55890e9i −0.0164509 + 0.00949794i
\(176\) 2.46979e11 1.46250
\(177\) −1.93663e11 + 1.11812e11i −1.11476 + 0.643606i
\(178\) −7.25336e10 1.25632e11i −0.405919 0.703072i
\(179\) 1.53427e11 + 8.85808e10i 0.834902 + 0.482031i 0.855528 0.517757i \(-0.173233\pi\)
−0.0206264 + 0.999787i \(0.506566\pi\)
\(180\) 2.35516e11i 1.24640i
\(181\) −8.97886e9 + 1.55518e10i −0.0462198 + 0.0800551i −0.888210 0.459438i \(-0.848051\pi\)
0.841990 + 0.539493i \(0.181384\pi\)
\(182\) −2.67856e10 4.63940e10i −0.134136 0.232330i
\(183\) 5.29666e11 2.58076
\(184\) −7.34692e10 + 4.24175e10i −0.348350 + 0.201120i
\(185\) 2.72178e10 4.71425e10i 0.125601 0.217548i
\(186\) −1.33965e11 + 2.32035e11i −0.601767 + 1.04229i
\(187\) −9.84980e10 + 1.70603e11i −0.430744 + 0.746070i
\(188\) −3.15558e11 −1.34366
\(189\) −3.39255e10 + 5.87607e10i −0.140675 + 0.243657i
\(190\) −1.27800e11 7.37855e10i −0.516135 0.297991i
\(191\) 3.28972e11 1.89932e11i 1.29417 0.747191i 0.314781 0.949164i \(-0.398069\pi\)
0.979391 + 0.201973i \(0.0647354\pi\)
\(192\) 1.21933e11 7.03979e10i 0.467320 0.269807i
\(193\) −5.49071e9 −0.0205042 −0.0102521 0.999947i \(-0.503263\pi\)
−0.0102521 + 0.999947i \(0.503263\pi\)
\(194\) 6.52451e11i 2.37432i
\(195\) −2.11428e11 3.66203e11i −0.749875 1.29882i
\(196\) 9.50298e10 + 1.64596e11i 0.328533 + 0.569036i
\(197\) 1.21908e11 2.11151e11i 0.410867 0.711642i −0.584118 0.811669i \(-0.698560\pi\)
0.994985 + 0.100027i \(0.0318929\pi\)
\(198\) 7.13892e11 + 4.12166e11i 2.34588 + 1.35440i
\(199\) 5.07424e11i 1.62594i 0.582302 + 0.812972i \(0.302152\pi\)
−0.582302 + 0.812972i \(0.697848\pi\)
\(200\) −8.85196e9 5.11068e9i −0.0276624 0.0159709i
\(201\) −5.02541e11 2.90142e11i −1.53176 0.884363i
\(202\) −4.27298e11 2.46700e11i −1.27050 0.733522i
\(203\) 1.21811e10 + 2.10984e10i 0.0353352 + 0.0612024i
\(204\) 2.89522e11i 0.819466i
\(205\) −1.19105e11 + 6.87652e10i −0.328973 + 0.189933i
\(206\) 2.36530e11 + 1.36561e11i 0.637602 + 0.368120i
\(207\) −6.64909e11 −1.74949
\(208\) 2.06208e11 3.57163e11i 0.529651 0.917382i
\(209\) 1.83521e11 1.05956e11i 0.460209 0.265702i
\(210\) −1.07501e11 1.86197e11i −0.263217 0.455906i
\(211\) 4.00556e11i 0.957746i −0.877884 0.478873i \(-0.841045\pi\)
0.877884 0.478873i \(-0.158955\pi\)
\(212\) 2.13033e11 + 3.68985e11i 0.497472 + 0.861646i
\(213\) −4.74385e11 −1.08201
\(214\) 1.01806e12i 2.26832i
\(215\) −3.42863e11 + 3.32426e11i −0.746326 + 0.723607i
\(216\) −2.22441e11 −0.473094
\(217\) 6.35035e10i 0.131977i
\(218\) −5.86587e11 + 3.38666e11i −1.19138 + 0.687843i
\(219\) 1.43438e11 0.284738
\(220\) −3.89585e11 + 2.24927e11i −0.755942 + 0.436443i
\(221\) 1.64476e11 + 2.84882e11i 0.311991 + 0.540385i
\(222\) 2.42504e11 + 1.40010e11i 0.449733 + 0.259654i
\(223\) 1.65409e11i 0.299940i −0.988691 0.149970i \(-0.952082\pi\)
0.988691 0.149970i \(-0.0479178\pi\)
\(224\) 7.85163e10 1.35994e11i 0.139226 0.241146i
\(225\) −4.00559e10 6.93788e10i −0.0694630 0.120314i
\(226\) 7.14099e11 1.21120
\(227\) −6.23668e11 + 3.60075e11i −1.03472 + 0.597398i −0.918334 0.395806i \(-0.870465\pi\)
−0.116389 + 0.993204i \(0.537132\pi\)
\(228\) 1.55722e11 2.69719e11i 0.252742 0.437761i
\(229\) −6.70539e9 + 1.16141e10i −0.0106475 + 0.0184420i −0.871300 0.490751i \(-0.836723\pi\)
0.860653 + 0.509193i \(0.170056\pi\)
\(230\) 4.42210e11 7.65931e11i 0.687052 1.19001i
\(231\) 3.08743e11 0.469393
\(232\) −3.99344e10 + 6.91684e10i −0.0594165 + 0.102912i
\(233\) −3.69136e11 2.13121e11i −0.537536 0.310346i 0.206544 0.978437i \(-0.433778\pi\)
−0.744080 + 0.668091i \(0.767112\pi\)
\(234\) 1.19209e12 6.88253e11i 1.69914 0.981000i
\(235\) −1.24615e12 + 7.19468e11i −1.73873 + 1.00386i
\(236\) 3.97258e11 0.542641
\(237\) 1.67570e12i 2.24107i
\(238\) 8.36283e10 + 1.44848e11i 0.109514 + 0.189683i
\(239\) −1.72008e11 2.97927e11i −0.220577 0.382050i 0.734407 0.678710i \(-0.237461\pi\)
−0.954983 + 0.296660i \(0.904127\pi\)
\(240\) 8.27592e11 1.43343e12i 1.03935 1.80020i
\(241\) −8.78750e11 5.07347e11i −1.08089 0.624050i −0.149751 0.988724i \(-0.547847\pi\)
−0.931135 + 0.364674i \(0.881181\pi\)
\(242\) 4.93724e11i 0.594850i
\(243\) 5.77148e11 + 3.33217e11i 0.681171 + 0.393274i
\(244\) −8.14872e11 4.70466e11i −0.942193 0.543976i
\(245\) 7.50554e11 + 4.33333e11i 0.850260 + 0.490898i
\(246\) −3.53733e11 6.12683e11i −0.392645 0.680081i
\(247\) 3.53861e11i 0.384900i
\(248\) −1.80297e11 + 1.04094e11i −0.192189 + 0.110960i
\(249\) 4.55376e11 + 2.62912e11i 0.475744 + 0.274671i
\(250\) −1.21537e12 −1.24454
\(251\) 5.87943e11 1.01835e12i 0.590156 1.02218i −0.404055 0.914735i \(-0.632400\pi\)
0.994211 0.107445i \(-0.0342671\pi\)
\(252\) 2.48675e11 1.43572e11i 0.244697 0.141276i
\(253\) 6.35016e11 + 1.09988e12i 0.612607 + 1.06107i
\(254\) 1.63534e12i 1.54682i
\(255\) 6.60106e11 + 1.14334e12i 0.612227 + 1.06041i
\(256\) 1.44168e12 1.31120
\(257\) 4.91417e11i 0.438313i 0.975690 + 0.219157i \(0.0703306\pi\)
−0.975690 + 0.219157i \(0.929669\pi\)
\(258\) −1.71002e12 1.76371e12i −1.49590 1.54287i
\(259\) 6.63688e10 0.0569462
\(260\) 7.51187e11i 0.632239i
\(261\) −5.42120e11 + 3.12993e11i −0.447603 + 0.258424i
\(262\) −7.20189e11 −0.583365
\(263\) −1.50413e12 + 8.68409e11i −1.19538 + 0.690153i −0.959522 0.281634i \(-0.909124\pi\)
−0.235859 + 0.971787i \(0.575790\pi\)
\(264\) 5.06088e11 + 8.76570e11i 0.394645 + 0.683545i
\(265\) 1.68256e12 + 9.71425e11i 1.28748 + 0.743327i
\(266\) 1.79921e11i 0.135106i
\(267\) 6.98041e11 1.20904e12i 0.514428 0.891015i
\(268\) 5.15427e11 + 8.92746e11i 0.372815 + 0.645734i
\(269\) 1.32480e12 0.940567 0.470283 0.882515i \(-0.344152\pi\)
0.470283 + 0.882515i \(0.344152\pi\)
\(270\) 2.00831e12 1.15950e12i 1.39962 0.808074i
\(271\) −1.04621e12 + 1.81210e12i −0.715771 + 1.23975i 0.246890 + 0.969043i \(0.420591\pi\)
−0.962661 + 0.270708i \(0.912742\pi\)
\(272\) −6.43811e11 + 1.11511e12i −0.432428 + 0.748987i
\(273\) 2.57776e11 4.46482e11i 0.169993 0.294436i
\(274\) −9.47927e11 −0.613793
\(275\) −7.65100e10 + 1.32519e11i −0.0486469 + 0.0842588i
\(276\) 1.61648e12 + 9.33274e11i 1.00931 + 0.582725i
\(277\) 2.73024e12 1.57631e12i 1.67418 0.966588i 0.708923 0.705286i \(-0.249181\pi\)
0.965257 0.261302i \(-0.0841519\pi\)
\(278\) −2.97432e11 + 1.71722e11i −0.179128 + 0.103420i
\(279\) −1.63172e12 −0.965214
\(280\) 1.67061e11i 0.0970700i
\(281\) −9.72501e11 1.68442e12i −0.555083 0.961433i −0.997897 0.0648190i \(-0.979353\pi\)
0.442814 0.896614i \(-0.353980\pi\)
\(282\) −3.70099e12 6.41030e12i −2.07526 3.59445i
\(283\) 1.64781e12 2.85409e12i 0.907767 1.57230i 0.0906067 0.995887i \(-0.471119\pi\)
0.817160 0.576411i \(-0.195547\pi\)
\(284\) 7.29823e11 + 4.21364e11i 0.395026 + 0.228068i
\(285\) 1.42018e12i 0.755298i
\(286\) −2.27699e12 1.31462e12i −1.18995 0.687021i
\(287\) −1.45215e11 8.38398e10i −0.0745764 0.0430567i
\(288\) 3.49436e12 + 2.01747e12i 1.76362 + 1.01823i
\(289\) 4.94479e11 + 8.56463e11i 0.245278 + 0.424834i
\(290\) 8.32648e11i 0.405949i
\(291\) −5.43776e12 + 3.13949e12i −2.60589 + 1.50451i
\(292\) −2.20675e11 1.27407e11i −0.103953 0.0600174i
\(293\) 3.12968e12 1.44931 0.724656 0.689111i \(-0.241999\pi\)
0.724656 + 0.689111i \(0.241999\pi\)
\(294\) −2.22909e12 + 3.86090e12i −1.01483 + 1.75773i
\(295\) 1.56879e12 9.05742e11i 0.702191 0.405410i
\(296\) 1.08791e11 + 1.88432e11i 0.0478778 + 0.0829269i
\(297\) 3.33008e12i 1.44103i
\(298\) −1.78883e12 3.09834e12i −0.761179 1.31840i
\(299\) 2.12076e12 0.887432
\(300\) 2.24891e11i 0.0925479i
\(301\) −5.60012e11 1.59370e11i −0.226655 0.0645023i
\(302\) 5.12010e12 2.03819
\(303\) 4.74834e12i 1.85921i
\(304\) 1.19955e12 6.92560e11i 0.462008 0.266741i
\(305\) −4.29062e12 −1.62563
\(306\) −3.72187e12 + 2.14882e12i −1.38725 + 0.800927i
\(307\) 2.67388e11 + 4.63130e11i 0.0980505 + 0.169829i 0.910878 0.412676i \(-0.135406\pi\)
−0.812827 + 0.582505i \(0.802073\pi\)
\(308\) −4.74989e11 2.74235e11i −0.171368 0.0989394i
\(309\) 2.62843e12i 0.933050i
\(310\) 1.08520e12 1.87963e12i 0.379055 0.656543i
\(311\) 1.60198e12 + 2.77471e12i 0.550624 + 0.953709i 0.998230 + 0.0594775i \(0.0189435\pi\)
−0.447606 + 0.894231i \(0.647723\pi\)
\(312\) 1.69018e12 0.571688
\(313\) −1.39249e12 + 8.03954e11i −0.463522 + 0.267614i −0.713524 0.700631i \(-0.752902\pi\)
0.250002 + 0.968245i \(0.419569\pi\)
\(314\) 2.19803e12 3.80710e12i 0.720088 1.24723i
\(315\) 6.54685e11 1.13395e12i 0.211096 0.365629i
\(316\) −1.48841e12 + 2.57800e12i −0.472375 + 0.818178i
\(317\) 1.03334e12 0.322810 0.161405 0.986888i \(-0.448397\pi\)
0.161405 + 0.986888i \(0.448397\pi\)
\(318\) −4.99708e12 + 8.65519e12i −1.53667 + 2.66159i
\(319\) 1.03549e12 + 5.97842e11i 0.313469 + 0.180981i
\(320\) −9.87730e11 + 5.70266e11i −0.294367 + 0.169953i
\(321\) −8.48489e12 + 4.89875e12i −2.48955 + 1.43734i
\(322\) 1.07830e12 0.311502
\(323\) 1.10480e12i 0.314248i
\(324\) 3.06577e11 + 5.31006e11i 0.0858646 + 0.148722i
\(325\) 1.27760e11 + 2.21287e11i 0.0352353 + 0.0610293i
\(326\) −3.80816e12 + 6.59593e12i −1.03425 + 1.79138i
\(327\) −5.64513e12 3.25922e12i −1.50986 0.871715i
\(328\) 5.49717e11i 0.144801i
\(329\) −1.51933e12 8.77188e11i −0.394161 0.227569i
\(330\) −9.13841e12 5.27606e12i −2.33507 1.34816i
\(331\) 2.78981e12 + 1.61070e12i 0.702159 + 0.405391i 0.808151 0.588976i \(-0.200469\pi\)
−0.105992 + 0.994367i \(0.533802\pi\)
\(332\) −4.67053e11 8.08959e11i −0.115791 0.200556i
\(333\) 1.70534e12i 0.416476i
\(334\) 2.01655e12 1.16426e12i 0.485151 0.280102i
\(335\) 4.07089e12 + 2.35033e12i 0.964863 + 0.557064i
\(336\) 2.01803e12 0.471228
\(337\) 8.47932e11 1.46866e12i 0.195079 0.337887i −0.751847 0.659337i \(-0.770837\pi\)
0.946927 + 0.321450i \(0.104170\pi\)
\(338\) 1.17273e12 6.77077e11i 0.265837 0.153481i
\(339\) 3.43613e12 + 5.95156e12i 0.767488 + 1.32933i
\(340\) 2.34531e12i 0.516185i
\(341\) 1.55835e12 + 2.69915e12i 0.337983 + 0.585403i
\(342\) 4.62305e12 0.988095
\(343\) 2.17544e12i 0.458222i
\(344\) −4.65489e11 1.85120e12i −0.0966311 0.384292i
\(345\) 8.51139e12 1.74143
\(346\) 1.12379e13i 2.26623i
\(347\) 9.82894e11 5.67474e11i 0.195371 0.112797i −0.399124 0.916897i \(-0.630686\pi\)
0.594494 + 0.804100i \(0.297352\pi\)
\(348\) 1.75728e12 0.344306
\(349\) 2.48413e12 1.43421e12i 0.479785 0.277004i −0.240542 0.970639i \(-0.577325\pi\)
0.720327 + 0.693635i \(0.243992\pi\)
\(350\) 6.49597e10 + 1.12514e11i 0.0123681 + 0.0214222i
\(351\) 4.81573e12 + 2.78036e12i 0.903913 + 0.521875i
\(352\) 7.70706e12i 1.42618i
\(353\) −3.41543e12 + 5.91569e12i −0.623119 + 1.07927i 0.365782 + 0.930701i \(0.380802\pi\)
−0.988901 + 0.148574i \(0.952532\pi\)
\(354\) 4.65920e12 + 8.06997e12i 0.838098 + 1.45163i
\(355\) 3.84281e12 0.681564
\(356\) −2.14782e12 + 1.24004e12i −0.375619 + 0.216864i
\(357\) −8.04813e11 + 1.39398e12i −0.138789 + 0.240389i
\(358\) 3.69117e12 6.39330e12i 0.627696 1.08720i
\(359\) −3.43868e12 + 5.95597e12i −0.576659 + 0.998804i 0.419200 + 0.907894i \(0.362311\pi\)
−0.995859 + 0.0909095i \(0.971023\pi\)
\(360\) 4.29262e12 0.709920
\(361\) −2.47130e12 + 4.28042e12i −0.403079 + 0.698153i
\(362\) 6.48047e11 + 3.74150e11i 0.104247 + 0.0601870i
\(363\) 4.11487e12 2.37572e12i 0.652865 0.376932i
\(364\) −7.93158e11 + 4.57930e11i −0.124123 + 0.0716626i
\(365\) −1.16194e12 −0.179357
\(366\) 2.20713e13i 3.36064i
\(367\) −3.40345e12 5.89495e12i −0.511198 0.885420i −0.999916 0.0129787i \(-0.995869\pi\)
0.488718 0.872442i \(-0.337465\pi\)
\(368\) 4.15064e12 + 7.18912e12i 0.615002 + 1.06521i
\(369\) 2.15425e12 3.73128e12i 0.314895 0.545413i
\(370\) −1.96443e12 1.13417e12i −0.283289 0.163557i
\(371\) 2.36876e12i 0.337017i
\(372\) 3.96690e12 + 2.29029e12i 0.556848 + 0.321496i
\(373\) −8.54776e12 4.93505e12i −1.18388 0.683514i −0.226972 0.973901i \(-0.572883\pi\)
−0.956909 + 0.290387i \(0.906216\pi\)
\(374\) 7.10907e12 + 4.10442e12i 0.971526 + 0.560911i
\(375\) −5.84818e12 1.01294e13i −0.788614 1.36592i
\(376\) 5.75151e12i 0.765319i
\(377\) 1.72912e12 9.98305e11i 0.227048 0.131086i
\(378\) 2.44857e12 + 1.41368e12i 0.317287 + 0.183186i
\(379\) −7.07984e12 −0.905373 −0.452687 0.891670i \(-0.649534\pi\)
−0.452687 + 0.891670i \(0.649534\pi\)
\(380\) −1.26145e12 + 2.18489e12i −0.159203 + 0.275747i
\(381\) −1.36295e13 + 7.86901e12i −1.69768 + 0.980156i
\(382\) −7.91449e12 1.37083e13i −0.972985 1.68526i
\(383\) 1.84003e12i 0.223270i −0.993749 0.111635i \(-0.964391\pi\)
0.993749 0.111635i \(-0.0356087\pi\)
\(384\) 5.20719e12 + 9.01912e12i 0.623659 + 1.08021i
\(385\) −2.50100e12 −0.295672
\(386\) 2.28799e11i 0.0267003i
\(387\) 4.09500e12 1.43895e13i 0.471737 1.65764i
\(388\) 1.11544e13 1.26849
\(389\) 1.38652e13i 1.55660i −0.627893 0.778300i \(-0.716082\pi\)
0.627893 0.778300i \(-0.283918\pi\)
\(390\) −1.52597e13 + 8.81021e12i −1.69131 + 0.976480i
\(391\) −6.62129e12 −0.724534
\(392\) −3.00001e12 + 1.73206e12i −0.324110 + 0.187125i
\(393\) −3.46544e12 6.00232e12i −0.369654 0.640260i
\(394\) −8.79867e12 5.07992e12i −0.926694 0.535027i
\(395\) 1.35742e13i 1.41166i
\(396\) 7.04644e12 1.22048e13i 0.723592 1.25330i
\(397\) −7.87978e11 1.36482e12i −0.0799027 0.138396i 0.823305 0.567599i \(-0.192128\pi\)
−0.903208 + 0.429204i \(0.858794\pi\)
\(398\) 2.11444e13 2.11729
\(399\) 1.49953e12 8.65753e11i 0.148283 0.0856110i
\(400\) −5.00091e11 + 8.66183e11i −0.0488370 + 0.0845882i
\(401\) −2.55724e12 + 4.42926e12i −0.246632 + 0.427179i −0.962589 0.270965i \(-0.912657\pi\)
0.715957 + 0.698144i \(0.245990\pi\)
\(402\) −1.20903e13 + 2.09409e13i −1.15161 + 1.99465i
\(403\) 5.20442e12 0.489607
\(404\) −4.21762e12 + 7.30514e12i −0.391887 + 0.678769i
\(405\) 2.42137e12 + 1.39798e12i 0.222222 + 0.128300i
\(406\) 8.79171e11 5.07590e11i 0.0796972 0.0460132i
\(407\) 2.82094e12 1.62867e12i 0.252593 0.145835i
\(408\) −5.27697e12 −0.466749
\(409\) 1.02541e13i 0.895941i 0.894048 + 0.447970i \(0.147853\pi\)
−0.894048 + 0.447970i \(0.852147\pi\)
\(410\) 2.86545e12 + 4.96311e12i 0.247328 + 0.428385i
\(411\) −4.56128e12 7.90037e12i −0.388935 0.673656i
\(412\) 2.33466e12 4.04375e12i 0.196670 0.340642i
\(413\) 1.91270e12 + 1.10430e12i 0.159183 + 0.0919042i
\(414\) 2.77068e13i 2.27817i
\(415\) −3.68883e12 2.12974e12i −0.299673 0.173016i
\(416\) −1.11454e13 6.43480e12i −0.894601 0.516498i
\(417\) −2.86239e12 1.65260e12i −0.227012 0.131065i
\(418\) −4.41520e12 7.64736e12i −0.345995 0.599280i
\(419\) 8.10498e12i 0.627598i −0.949489 0.313799i \(-0.898398\pi\)
0.949489 0.313799i \(-0.101602\pi\)
\(420\) −3.18324e12 + 1.83785e12i −0.243570 + 0.140625i
\(421\) 1.17712e13 + 6.79608e12i 0.890038 + 0.513864i 0.873955 0.486007i \(-0.161547\pi\)
0.0160832 + 0.999871i \(0.494880\pi\)
\(422\) −1.66912e13 −1.24717
\(423\) 2.25393e13 3.90391e13i 1.66432 2.88269i
\(424\) −6.72529e12 + 3.88285e12i −0.490774 + 0.283348i
\(425\) −3.98884e11 6.90887e11i −0.0287675 0.0498268i
\(426\) 1.97677e13i 1.40899i
\(427\) −2.61560e12 4.53036e12i −0.184261 0.319149i
\(428\) 1.74049e13 1.21186
\(429\) 2.53030e13i 1.74135i
\(430\) 1.38522e13 + 1.42871e13i 0.942274 + 0.971859i
\(431\) 1.05219e13 0.707469 0.353734 0.935346i \(-0.384912\pi\)
0.353734 + 0.935346i \(0.384912\pi\)
\(432\) 2.17664e13i 1.44666i
\(433\) 8.13968e12 4.69945e12i 0.534771 0.308750i −0.208186 0.978089i \(-0.566756\pi\)
0.742957 + 0.669339i \(0.233423\pi\)
\(434\) 2.64620e12 0.171859
\(435\) 6.93959e12 4.00657e12i 0.445541 0.257233i
\(436\) 5.78988e12 + 1.00284e13i 0.367483 + 0.636499i
\(437\) 6.16840e12 + 3.56133e12i 0.387048 + 0.223462i
\(438\) 5.97709e12i 0.370783i
\(439\) −5.65287e12 + 9.79106e12i −0.346694 + 0.600492i −0.985660 0.168743i \(-0.946029\pi\)
0.638966 + 0.769235i \(0.279362\pi\)
\(440\) −4.09962e12 7.10075e12i −0.248588 0.430567i
\(441\) −2.71506e13 −1.62775
\(442\) 1.18710e13 6.85375e12i 0.703684 0.406272i
\(443\) −4.08627e12 + 7.07763e12i −0.239502 + 0.414829i −0.960571 0.278033i \(-0.910317\pi\)
0.721070 + 0.692863i \(0.243651\pi\)
\(444\) 2.39363e12 4.14589e12i 0.138721 0.240272i
\(445\) −5.65456e12 + 9.79398e12i −0.324040 + 0.561254i
\(446\) −6.89261e12 −0.390580
\(447\) 1.72151e13 2.98174e13i 0.964655 1.67083i
\(448\) −1.20426e12 6.95279e11i −0.0667313 0.0385273i
\(449\) 4.50453e12 2.60069e12i 0.246841 0.142514i −0.371476 0.928443i \(-0.621148\pi\)
0.618317 + 0.785929i \(0.287815\pi\)
\(450\) −2.89102e12 + 1.66913e12i −0.156671 + 0.0904541i
\(451\) −8.22960e12 −0.441058
\(452\) 1.22083e13i 0.647089i
\(453\) 2.46372e13 + 4.26728e13i 1.29152 + 2.23697i
\(454\) 1.50044e13 + 2.59883e13i 0.777926 + 1.34741i
\(455\) −2.08815e12 + 3.61678e12i −0.107079 + 0.185466i
\(456\) 4.91602e12 + 2.83827e12i 0.249339 + 0.143956i
\(457\) 3.53461e13i 1.77321i 0.462526 + 0.886606i \(0.346943\pi\)
−0.462526 + 0.886606i \(0.653057\pi\)
\(458\) 4.83960e11 + 2.79414e11i 0.0240150 + 0.0138650i
\(459\) −1.50354e13 8.68068e12i −0.737991 0.426079i
\(460\) −1.30945e13 7.56009e12i −0.635767 0.367061i
\(461\) 3.22386e12 + 5.58388e12i 0.154836 + 0.268183i 0.932999 0.359879i \(-0.117182\pi\)
−0.778164 + 0.628062i \(0.783849\pi\)
\(462\) 1.28653e13i 0.611239i
\(463\) 1.44011e13 8.31448e12i 0.676847 0.390778i −0.121819 0.992552i \(-0.538873\pi\)
0.798666 + 0.601774i \(0.205539\pi\)
\(464\) 6.76828e12 + 3.90767e12i 0.314694 + 0.181689i
\(465\) 2.08873e13 0.960766
\(466\) −8.88077e12 + 1.53820e13i −0.404130 + 0.699974i
\(467\) −4.26790e12 + 2.46407e12i −0.192145 + 0.110935i −0.592986 0.805212i \(-0.702051\pi\)
0.400841 + 0.916148i \(0.368718\pi\)
\(468\) −1.17665e13 2.03801e13i −0.524103 0.907774i
\(469\) 5.73113e12i 0.252567i
\(470\) 2.99803e13 + 5.19274e13i 1.30721 + 2.26416i
\(471\) 4.23064e13 1.82516
\(472\) 7.24061e12i 0.309076i
\(473\) −2.77136e13 + 6.96865e12i −1.17054 + 0.294336i
\(474\) −6.98266e13 −2.91830
\(475\) 8.58174e11i 0.0354901i
\(476\) 2.47635e12 1.42972e12i 0.101339 0.0585082i
\(477\) −6.08650e13 −2.46477
\(478\) −1.24146e13 + 7.16760e12i −0.497502 + 0.287233i
\(479\) 9.43567e12 + 1.63431e13i 0.374193 + 0.648120i 0.990206 0.139615i \(-0.0445866\pi\)
−0.616013 + 0.787736i \(0.711253\pi\)
\(480\) −4.47307e13 2.58253e13i −1.75549 1.01354i
\(481\) 5.43925e12i 0.211258i
\(482\) −2.11412e13 + 3.66176e13i −0.812632 + 1.40752i
\(483\) 5.18862e12 + 8.98696e12i 0.197386 + 0.341883i
\(484\) −8.44077e12 −0.317801
\(485\) 4.40492e13 2.54318e13i 1.64146 0.947695i
\(486\) 1.38852e13 2.40498e13i 0.512118 0.887014i
\(487\) −6.47787e12 + 1.12200e13i −0.236476 + 0.409589i −0.959701 0.281024i \(-0.909326\pi\)
0.723224 + 0.690613i \(0.242659\pi\)
\(488\) 8.57494e12 1.48522e13i 0.309836 0.536652i
\(489\) −7.32972e13 −2.62146
\(490\) 1.80570e13 3.12757e13i 0.639243 1.10720i
\(491\) −4.68320e12 2.70385e12i −0.164110 0.0947491i 0.415695 0.909504i \(-0.363538\pi\)
−0.579806 + 0.814755i \(0.696872\pi\)
\(492\) −1.04745e13 + 6.04747e12i −0.363336 + 0.209772i
\(493\) −5.39853e12 + 3.11684e12i −0.185371 + 0.107024i
\(494\) −1.47454e13 −0.501213
\(495\) 6.42631e13i 2.16240i
\(496\) 1.01858e13 + 1.76424e13i 0.339304 + 0.587692i
\(497\) 2.34261e12 + 4.05752e12i 0.0772535 + 0.133807i
\(498\) 1.09556e13 1.89756e13i 0.357674 0.619510i
\(499\) −2.31211e13 1.33490e13i −0.747319 0.431465i 0.0774051 0.997000i \(-0.475337\pi\)
−0.824725 + 0.565535i \(0.808670\pi\)
\(500\) 2.07782e13i 0.664901i
\(501\) 1.94067e13 + 1.12044e13i 0.614840 + 0.354978i
\(502\) −4.24347e13 2.44997e13i −1.33107 0.768496i
\(503\) −2.57784e13 1.48832e13i −0.800600 0.462227i 0.0430809 0.999072i \(-0.486283\pi\)
−0.843681 + 0.536845i \(0.819616\pi\)
\(504\) 2.61682e12 + 4.53246e12i 0.0804675 + 0.139374i
\(505\) 3.84645e13i 1.17112i
\(506\) 4.58321e13 2.64612e13i 1.38171 0.797731i
\(507\) 1.12860e13 + 6.51598e12i 0.336900 + 0.194509i
\(508\) 2.79580e13 0.826395
\(509\) 1.02447e13 1.77443e13i 0.299854 0.519363i −0.676248 0.736674i \(-0.736395\pi\)
0.976102 + 0.217311i \(0.0697286\pi\)
\(510\) 4.76430e13 2.75067e13i 1.38085 0.797237i
\(511\) −7.08329e11 1.22686e12i −0.0203297 0.0352120i
\(512\) 3.34820e13i 0.951616i
\(513\) 9.33797e12 + 1.61738e13i 0.262824 + 0.455225i
\(514\) 2.04774e13 0.570768
\(515\) 2.12919e13i 0.587731i
\(516\) −3.01527e13 + 2.92348e13i −0.824284 + 0.799192i
\(517\) −8.61036e13 −2.33114
\(518\) 2.76559e12i 0.0741549i
\(519\) 9.36605e13 5.40749e13i 2.48725 1.43601i
\(520\) −1.36915e13 −0.360109
\(521\) 2.54506e13 1.46939e13i 0.662994 0.382780i −0.130423 0.991458i \(-0.541634\pi\)
0.793417 + 0.608679i \(0.208300\pi\)
\(522\) 1.30425e13 + 2.25902e13i 0.336517 + 0.582865i
\(523\) −1.32898e13 7.67289e12i −0.339634 0.196088i 0.320476 0.947257i \(-0.396157\pi\)
−0.660110 + 0.751169i \(0.729490\pi\)
\(524\) 1.23125e13i 0.311665i
\(525\) −6.25152e11 + 1.08280e12i −0.0156743 + 0.0271488i
\(526\) 3.61867e13 + 6.26772e13i 0.898711 + 1.55661i
\(527\) −1.62489e13 −0.399734
\(528\) 8.57742e13 4.95218e13i 2.09020 1.20678i
\(529\) −6.30450e11 + 1.09197e12i −0.0152185 + 0.0263592i
\(530\) 4.04794e13 7.01124e13i 0.967954 1.67655i
\(531\) −2.83748e13 + 4.91466e13i −0.672141 + 1.16418i
\(532\) −3.07596e12 −0.0721808
\(533\) −6.87109e12 + 1.19011e13i −0.159731 + 0.276662i
\(534\) −5.03809e13 2.90874e13i −1.16027 0.669883i
\(535\) 6.87328e13 3.96829e13i 1.56818 0.905388i
\(536\) −1.62716e13 + 9.39441e12i −0.367795 + 0.212347i
\(537\) 7.10454e13 1.59098
\(538\) 5.52047e13i 1.22480i
\(539\) 2.59299e13 + 4.49120e13i 0.569978 + 0.987230i
\(540\) −1.98229e13 3.43343e13i −0.431717 0.747755i
\(541\) −3.39850e13 + 5.88637e13i −0.733332 + 1.27017i 0.222119 + 0.975020i \(0.428703\pi\)
−0.955451 + 0.295149i \(0.904631\pi\)
\(542\) 7.55102e13 + 4.35959e13i 1.61439 + 0.932071i
\(543\) 7.20141e12i 0.152552i
\(544\) 3.47975e13 + 2.00903e13i 0.730387 + 0.421689i
\(545\) 4.57290e13 + 2.64017e13i 0.951063 + 0.549097i
\(546\) −1.86049e13 1.07416e13i −0.383412 0.221363i
\(547\) −3.79790e13 6.57816e13i −0.775546 1.34328i −0.934487 0.355997i \(-0.884141\pi\)
0.158941 0.987288i \(-0.449192\pi\)
\(548\) 1.62059e13i 0.327922i
\(549\) 1.16407e14 6.72076e13i 2.33409 1.34759i
\(550\) 5.52209e12 + 3.18818e12i 0.109721 + 0.0633475i
\(551\) 6.70570e12 0.132034
\(552\) −1.70103e13 + 2.94627e13i −0.331907 + 0.574879i
\(553\) −1.43326e13 + 8.27496e12i −0.277141 + 0.160007i
\(554\) −6.56848e13 1.13769e14i −1.25868 2.18010i
\(555\) 2.18298e13i 0.414557i
\(556\) 2.93579e12 + 5.08493e12i 0.0552523 + 0.0956998i
\(557\) −7.29179e13 −1.36006 −0.680030 0.733184i \(-0.738033\pi\)
−0.680030 + 0.733184i \(0.738033\pi\)
\(558\) 6.79938e13i 1.25689i
\(559\) −1.30612e13 + 4.58958e13i −0.239290 + 0.840841i
\(560\) −1.63473e13 −0.296828
\(561\) 7.89994e13i 1.42170i
\(562\) −7.01900e13 + 4.05242e13i −1.25197 + 0.722825i
\(563\) 3.42898e13 0.606210 0.303105 0.952957i \(-0.401977\pi\)
0.303105 + 0.952957i \(0.401977\pi\)
\(564\) −1.09591e14 + 6.32726e13i −1.92035 + 1.10872i
\(565\) −2.78348e13 4.82113e13i −0.483444 0.837349i
\(566\) −1.18930e14 6.86643e13i −2.04743 1.18209i
\(567\) 3.40888e12i 0.0581697i
\(568\) −7.67997e12 + 1.33021e13i −0.129903 + 0.224998i
\(569\) 2.01291e13 + 3.48647e13i 0.337492 + 0.584553i 0.983960 0.178387i \(-0.0570881\pi\)
−0.646468 + 0.762941i \(0.723755\pi\)
\(570\) −5.91789e13 −0.983542
\(571\) −9.91214e13 + 5.72278e13i −1.63300 + 0.942815i −0.649843 + 0.760069i \(0.725165\pi\)
−0.983160 + 0.182746i \(0.941501\pi\)
\(572\) −2.24749e13 + 3.89277e13i −0.367044 + 0.635738i
\(573\) 7.61666e13 1.31924e14i 1.23308 2.13576i
\(574\) −3.49361e12 + 6.05111e12i −0.0560680 + 0.0971127i
\(575\) −5.14320e12 −0.0818266
\(576\) 1.78651e13 3.09433e13i 0.281769 0.488039i
\(577\) 3.67018e13 + 2.11898e13i 0.573863 + 0.331320i 0.758691 0.651451i \(-0.225839\pi\)
−0.184828 + 0.982771i \(0.559173\pi\)
\(578\) 3.56889e13 2.06050e13i 0.553215 0.319399i
\(579\) −1.90689e12 + 1.10094e12i −0.0293044 + 0.0169189i
\(580\) −1.42351e13 −0.216880
\(581\) 5.19325e12i 0.0784437i
\(582\) 1.30823e14 + 2.26592e14i 1.95916 + 3.39336i
\(583\) 5.81286e13 + 1.00682e14i 0.863071 + 1.49488i
\(584\) 2.32217e12 4.02212e12i 0.0341846 0.0592094i
\(585\) −9.29327e13 5.36547e13i −1.35640 0.783120i
\(586\) 1.30414e14i 1.88728i
\(587\) 9.84072e13 + 5.68154e13i 1.41201 + 0.815222i 0.995577 0.0939467i \(-0.0299483\pi\)
0.416428 + 0.909169i \(0.363282\pi\)
\(588\) 6.60065e13 + 3.81089e13i 0.939075 + 0.542175i
\(589\) 1.51375e13 + 8.73964e12i 0.213539 + 0.123287i
\(590\) −3.77424e13 6.53717e13i −0.527921 0.914386i
\(591\) 9.77751e13i 1.35610i
\(592\) 1.84384e13 1.06454e13i 0.253580 0.146405i
\(593\) −2.93621e13 1.69522e13i −0.400418 0.231182i 0.286246 0.958156i \(-0.407592\pi\)
−0.686664 + 0.726975i \(0.740926\pi\)
\(594\) 1.38765e14 1.87650
\(595\) 6.51948e12 1.12921e13i 0.0874235 0.151422i
\(596\) −5.29696e13 + 3.05820e13i −0.704361 + 0.406663i
\(597\) 1.01744e14 + 1.76225e14i 1.34164 + 2.32379i
\(598\) 8.83722e13i 1.15561i
\(599\) −3.40972e13 5.90581e13i −0.442165 0.765853i 0.555684 0.831393i \(-0.312456\pi\)
−0.997850 + 0.0655402i \(0.979123\pi\)
\(600\) −4.09897e12 −0.0527131
\(601\) 9.87267e13i 1.25911i −0.776957 0.629553i \(-0.783238\pi\)
0.776957 0.629553i \(-0.216762\pi\)
\(602\) −6.64098e12 + 2.33358e13i −0.0839943 + 0.295148i
\(603\) −1.47261e14 −1.84714
\(604\) 8.75340e13i 1.08891i
\(605\) −3.33330e13 + 1.92448e13i −0.411242 + 0.237431i
\(606\) −1.97864e14 −2.42105
\(607\) −5.78334e13 + 3.33901e13i −0.701835 + 0.405205i −0.808031 0.589141i \(-0.799466\pi\)
0.106195 + 0.994345i \(0.466133\pi\)
\(608\) −2.16116e13 3.74323e13i −0.260117 0.450535i
\(609\) 8.46087e12 + 4.88489e12i 0.101002 + 0.0583134i
\(610\) 1.78791e14i 2.11688i
\(611\) −7.18899e13 + 1.24517e14i −0.844232 + 1.46225i
\(612\) 3.67365e13 + 6.36295e13i 0.427899 + 0.741142i
\(613\) −5.35981e13 −0.619223 −0.309612 0.950863i \(-0.600199\pi\)
−0.309612 + 0.950863i \(0.600199\pi\)
\(614\) 1.92987e13 1.11421e13i 0.221149 0.127681i
\(615\) −2.75762e13 + 4.77635e13i −0.313444 + 0.542900i
\(616\) 4.99833e12 8.65737e12i 0.0563536 0.0976073i
\(617\) −7.03365e13 + 1.21826e14i −0.786602 + 1.36243i 0.141435 + 0.989948i \(0.454828\pi\)
−0.928037 + 0.372487i \(0.878505\pi\)
\(618\) 1.09527e14 1.21501
\(619\) 3.86526e13 6.69482e13i 0.425329 0.736691i −0.571122 0.820865i \(-0.693492\pi\)
0.996451 + 0.0841737i \(0.0268251\pi\)
\(620\) −3.21343e13 1.85528e13i −0.350761 0.202512i
\(621\) −9.69329e13 + 5.59643e13i −1.04957 + 0.605972i
\(622\) 1.15622e14 6.67547e13i 1.24191 0.717017i
\(623\) −1.37883e13 −0.146916
\(624\) 1.65388e14i 1.74815i
\(625\) 5.12176e13 + 8.87115e13i 0.537056 + 0.930208i
\(626\) 3.35008e13 + 5.80252e13i 0.348485 + 0.603594i
\(627\) 4.24906e13 7.35958e13i 0.438485 0.759479i
\(628\) −6.50867e13 3.75778e13i −0.666337 0.384710i
\(629\) 1.69821e13i 0.172480i
\(630\) −4.72518e13 2.72808e13i −0.476119 0.274887i
\(631\) −1.49584e14 8.63624e13i −1.49533 0.863332i −0.495349 0.868694i \(-0.664960\pi\)
−0.999986 + 0.00536226i \(0.998293\pi\)
\(632\) −4.69879e13 2.71285e13i −0.466016 0.269054i
\(633\) −8.03155e13 1.39110e14i −0.790279 1.36880i
\(634\) 4.30595e13i 0.420361i
\(635\) 1.10408e14 6.37438e13i 1.06938 0.617404i
\(636\) 1.47970e14 + 8.54307e13i 1.42197 + 0.820972i
\(637\) 8.65981e13 0.825679
\(638\) 2.49122e13 4.31491e13i 0.235672 0.408196i
\(639\) −1.04258e14 + 6.01931e13i −0.978596 + 0.564992i
\(640\) −4.21815e13 7.30604e13i −0.392845 0.680428i
\(641\) 1.91805e14i 1.77243i −0.463276 0.886214i \(-0.653326\pi\)
0.463276 0.886214i \(-0.346674\pi\)
\(642\) 2.04132e14 + 3.53566e14i 1.87169 + 3.24187i
\(643\) 1.52151e14 1.38426 0.692132 0.721771i \(-0.256671\pi\)
0.692132 + 0.721771i \(0.256671\pi\)
\(644\) 1.84348e13i 0.166421i
\(645\) −5.24195e13 + 1.84197e14i −0.469563 + 1.65000i
\(646\) 4.60372e13 0.409210
\(647\) 7.27266e13i 0.641463i −0.947170 0.320731i \(-0.896071\pi\)
0.947170 0.320731i \(-0.103929\pi\)
\(648\) −9.67837e12 + 5.58781e12i −0.0847085 + 0.0489065i
\(649\) 1.08396e14 0.941437
\(650\) 9.22104e12 5.32377e12i 0.0794718 0.0458831i
\(651\) 1.27331e13 + 2.20544e13i 0.108900 + 0.188621i
\(652\) 1.12765e14 + 6.51049e13i 0.957053 + 0.552555i
\(653\) 7.37381e13i 0.621049i 0.950565 + 0.310525i \(0.100505\pi\)
−0.950565 + 0.310525i \(0.899495\pi\)
\(654\) −1.35812e14 + 2.35233e14i −1.13514 + 1.96612i
\(655\) 2.80722e13 + 4.86224e13i 0.232846 + 0.403302i
\(656\) −5.37910e13 −0.442783
\(657\) 3.15241e13 1.82004e13i 0.257523 0.148681i
\(658\) −3.65525e13 + 6.33108e13i −0.296338 + 0.513273i
\(659\) 1.06374e13 1.84244e13i 0.0855867 0.148241i −0.820054 0.572286i \(-0.806057\pi\)
0.905641 + 0.424045i \(0.139390\pi\)
\(660\) −9.02003e13 + 1.56231e14i −0.720258 + 1.24752i
\(661\) −5.86508e13 −0.464800 −0.232400 0.972620i \(-0.574658\pi\)
−0.232400 + 0.972620i \(0.574658\pi\)
\(662\) 6.71180e13 1.16252e14i 0.527897 0.914344i
\(663\) 1.14243e14 + 6.59584e13i 0.891791 + 0.514876i
\(664\) 1.47445e13 8.51272e12i 0.114232 0.0659520i
\(665\) −1.21471e13 + 7.01313e12i −0.0934037 + 0.0539267i
\(666\) 7.10617e13 0.542331
\(667\) 4.01885e13i 0.304420i
\(668\) −1.99043e13 3.44752e13i −0.149646 0.259194i
\(669\) −3.31662e13 5.74456e13i −0.247494 0.428673i
\(670\) 9.79385e13 1.69634e14i 0.725403 1.25644i
\(671\) −2.22347e14 1.28372e14i −1.63463 0.943752i
\(672\) 6.29733e13i 0.459526i
\(673\) 4.17449e13 + 2.41014e13i 0.302363 + 0.174569i 0.643504 0.765443i \(-0.277480\pi\)
−0.341141 + 0.940012i \(0.610813\pi\)
\(674\) −6.11993e13 3.53334e13i −0.439994 0.254031i
\(675\) −1.16790e13 6.74287e12i −0.0833463 0.0481200i
\(676\) −1.15754e13 2.00492e13i −0.0819978 0.142024i
\(677\) 1.87394e14i 1.31769i −0.752279 0.658845i \(-0.771045\pi\)
0.752279 0.658845i \(-0.228955\pi\)
\(678\) 2.48002e14 1.43184e14i 1.73104 0.999416i
\(679\) 5.37056e13 + 3.10069e13i 0.372109 + 0.214837i
\(680\) 4.27467e13 0.294007
\(681\) −1.44397e14 + 2.50104e14i −0.985879 + 1.70759i
\(682\) 1.12474e14 6.49368e13i 0.762306 0.440118i
\(683\) −7.10691e13 1.23095e14i −0.478164 0.828205i 0.521522 0.853238i \(-0.325364\pi\)
−0.999687 + 0.0250327i \(0.992031\pi\)
\(684\) 7.90364e13i 0.527894i
\(685\) 3.69492e13 + 6.39978e13i 0.244992 + 0.424338i
\(686\) 9.06507e13 0.596693
\(687\) 5.37800e12i 0.0351428i
\(688\) −1.81144e14 + 4.55491e13i −1.17512 + 0.295486i
\(689\) 1.94132e14 1.25026
\(690\) 3.54671e14i 2.26767i
\(691\) −1.70612e14 + 9.85027e13i −1.08298 + 0.625256i −0.931698 0.363235i \(-0.881672\pi\)
−0.151278 + 0.988491i \(0.548339\pi\)
\(692\) −1.92124e14 −1.21074
\(693\) 6.78537e13 3.91753e13i 0.424529 0.245102i
\(694\) −2.36467e13 4.09573e13i −0.146884 0.254410i
\(695\) 2.31871e13 + 1.33871e13i 0.142996 + 0.0825586i
\(696\) 3.20290e13i 0.196109i
\(697\) 2.14525e13 3.71568e13i 0.130411 0.225878i
\(698\) −5.97637e13 1.03514e14i −0.360712 0.624771i
\(699\) −1.70932e14 −1.02432
\(700\) 1.92355e12 1.11056e12i 0.0114449 0.00660772i
\(701\) 7.05293e13 1.22160e14i 0.416658 0.721673i −0.578943 0.815368i \(-0.696535\pi\)
0.995601 + 0.0936953i \(0.0298679\pi\)
\(702\) 1.15858e14 2.00672e14i 0.679580 1.17707i
\(703\) 9.13398e12 1.58205e13i 0.0531965 0.0921391i
\(704\) −6.82477e13 −0.394661
\(705\) −2.88521e14 + 4.99733e14i −1.65665 + 2.86941i
\(706\) 2.46507e14 + 1.42321e14i 1.40542 + 0.811420i
\(707\) −4.06136e13 + 2.34483e13i −0.229919 + 0.132744i
\(708\) 1.37965e14 7.96543e13i 0.775539 0.447757i
\(709\) 3.10208e14 1.73150 0.865749 0.500479i \(-0.166843\pi\)
0.865749 + 0.500479i \(0.166843\pi\)
\(710\) 1.60130e14i 0.887527i
\(711\) −2.12624e14 3.68276e14i −1.17021 2.02687i
\(712\) −2.26016e13 3.91471e13i −0.123521 0.213944i
\(713\) −5.23783e13 + 9.07219e13i −0.284252 + 0.492339i
\(714\) 5.80872e13 + 3.35366e13i 0.313032 + 0.180729i
\(715\) 2.04970e14i 1.09688i
\(716\) −1.09301e14 6.31048e13i −0.580842 0.335349i
\(717\) −1.19475e14 6.89788e13i −0.630493 0.364015i
\(718\) 2.48186e14 + 1.43290e14i 1.30063 + 0.750921i
\(719\) 7.74577e13 + 1.34161e14i 0.403107 + 0.698202i 0.994099 0.108475i \(-0.0345969\pi\)
−0.590992 + 0.806677i \(0.701264\pi\)
\(720\) 4.20042e14i 2.17085i
\(721\) 2.24816e13 1.29798e13i 0.115385 0.0666178i
\(722\) 1.78366e14 + 1.02980e14i 0.909129 + 0.524886i
\(723\) −4.06913e14 −2.05973
\(724\) 6.39652e12 1.10791e13i 0.0321552 0.0556944i
\(725\) −4.19340e12 + 2.42106e12i −0.0209352 + 0.0120869i
\(726\) −9.89967e13 1.71467e14i −0.490837 0.850155i
\(727\) 2.35936e14i 1.16178i 0.813983 + 0.580889i \(0.197295\pi\)
−0.813983 + 0.580889i \(0.802705\pi\)
\(728\) −8.34645e12 1.44565e13i −0.0408174 0.0706977i
\(729\) 3.18076e14 1.54488
\(730\) 4.84181e13i 0.233557i
\(731\) 4.07788e13 1.43293e14i 0.195365 0.686496i
\(732\) −3.77333e14 −1.79543
\(733\) 1.23495e14i 0.583619i −0.956476 0.291809i \(-0.905743\pi\)
0.956476 0.291809i \(-0.0942573\pi\)
\(734\) −2.45643e14 + 1.41822e14i −1.15299 + 0.665677i
\(735\) 3.47551e14 1.62025
\(736\) 2.24339e14 1.29522e14i 1.03876 0.599729i
\(737\) 1.40640e14 + 2.43596e14i 0.646802 + 1.12029i
\(738\) −1.55483e14 8.97680e13i −0.710232 0.410053i
\(739\) 2.75655e14i 1.25067i −0.780356 0.625336i \(-0.784962\pi\)
0.780356 0.625336i \(-0.215038\pi\)
\(740\) −1.93899e13 + 3.35843e13i −0.0873809 + 0.151348i
\(741\) −7.09527e13 1.22894e14i −0.317598 0.550096i
\(742\) 9.87064e13 0.438860
\(743\) 3.04245e14 1.75656e14i 1.34363 0.775745i 0.356291 0.934375i \(-0.384041\pi\)
0.987338 + 0.158630i \(0.0507078\pi\)
\(744\) −4.17439e13 + 7.23026e13i −0.183117 + 0.317168i
\(745\) −1.39453e14 + 2.41540e14i −0.607640 + 1.05246i
\(746\) −2.05644e14 + 3.56186e14i −0.890066 + 1.54164i
\(747\) 1.33440e14 0.573697
\(748\) 7.01697e13 1.21538e14i 0.299669 0.519042i
\(749\) 8.38003e13 + 4.83821e13i 0.355497 + 0.205247i
\(750\) −4.22091e14 + 2.43694e14i −1.77869 + 1.02693i
\(751\) 4.43161e13 2.55859e13i 0.185507 0.107103i −0.404370 0.914595i \(-0.632509\pi\)
0.589878 + 0.807493i \(0.299176\pi\)
\(752\) −5.62798e14 −2.34025
\(753\) 4.71554e14i 1.94786i
\(754\) −4.15995e13 7.20524e13i −0.170699 0.295659i
\(755\) −1.99576e14 3.45676e14i −0.813530 1.40908i
\(756\) 2.41685e13 4.18610e13i 0.0978679 0.169512i
\(757\) −1.31501e14 7.59219e13i −0.528991 0.305413i 0.211614 0.977353i \(-0.432128\pi\)
−0.740606 + 0.671940i \(0.765461\pi\)
\(758\) 2.95018e14i 1.17897i
\(759\) 4.41074e14 + 2.54654e14i 1.75107 + 1.01098i
\(760\) −3.98228e13 2.29917e13i −0.157059 0.0906783i
\(761\) −2.20737e14 1.27443e14i −0.864873