Properties

Label 43.11.d.a.7.19
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 7.19
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.18

$q$-expansion

\(f(q)\) \(=\) \(q+5.41302i q^{2} +(42.4427 - 24.5043i) q^{3} +994.699 q^{4} +(1000.11 - 577.412i) q^{5} +(132.642 + 229.743i) q^{6} +(-21227.5 - 12255.7i) q^{7} +10927.3i q^{8} +(-28323.6 + 49057.9i) q^{9} +O(q^{10})\) \(q+5.41302i q^{2} +(42.4427 - 24.5043i) q^{3} +994.699 q^{4} +(1000.11 - 577.412i) q^{5} +(132.642 + 229.743i) q^{6} +(-21227.5 - 12255.7i) q^{7} +10927.3i q^{8} +(-28323.6 + 49057.9i) q^{9} +(3125.54 + 5413.60i) q^{10} -122185. q^{11} +(42217.7 - 24374.4i) q^{12} +(-265812. + 460400. i) q^{13} +(66340.4 - 114905. i) q^{14} +(28298.2 - 49013.9i) q^{15} +959423. q^{16} +(983096. - 1.70277e6i) q^{17} +(-265551. - 153316. i) q^{18} +(-2.64211e6 + 1.52542e6i) q^{19} +(994806. - 574352. i) q^{20} -1.20127e6 q^{21} -661392. i q^{22} +(4.11108e6 + 7.12060e6i) q^{23} +(267765. + 463782. i) q^{24} +(-4.21600e6 + 7.30233e6i) q^{25} +(-2.49215e6 - 1.43885e6i) q^{26} +5.67011e6i q^{27} +(-2.11150e7 - 1.21908e7i) q^{28} +(-7.84645e6 - 4.53015e6i) q^{29} +(265313. + 153178. i) q^{30} +(2.94580e6 + 5.10227e6i) q^{31} +1.63829e7i q^{32} +(-5.18588e6 + 2.99407e6i) q^{33} +(9.21713e6 + 5.32151e6i) q^{34} -2.83064e7 q^{35} +(-2.81734e7 + 4.87978e7i) q^{36} +(-5.42299e7 + 3.13096e7i) q^{37} +(-8.25714e6 - 1.43018e7i) q^{38} +2.60542e7i q^{39} +(6.30953e6 + 1.09284e7i) q^{40} -1.05884e8 q^{41} -6.50250e6i q^{42} +(9.19026e7 - 1.14741e8i) q^{43} -1.21538e8 q^{44} +6.54175e7i q^{45} +(-3.85439e7 + 2.22533e7i) q^{46} -2.76335e8 q^{47} +(4.07205e7 - 2.35100e7i) q^{48} +(1.59168e8 + 2.75687e8i) q^{49} +(-3.95276e7 - 2.28213e7i) q^{50} -9.63603e7i q^{51} +(-2.64403e8 + 4.57960e8i) q^{52} +(5.92347e7 + 1.02598e8i) q^{53} -3.06924e7 q^{54} +(-1.22199e8 + 7.05514e7i) q^{55} +(1.33921e8 - 2.31959e8i) q^{56} +(-7.47589e7 + 1.29486e8i) q^{57} +(2.45218e7 - 4.24730e7i) q^{58} -4.28718e8 q^{59} +(2.81482e7 - 4.87541e7i) q^{60} +(1.37229e8 + 7.92292e7i) q^{61} +(-2.76187e7 + 1.59456e7i) q^{62} +(1.20248e9 - 6.94252e8i) q^{63} +8.93768e8 q^{64} +6.13933e8i q^{65} +(-1.62069e7 - 2.80713e7i) q^{66} +(-9.81598e8 - 1.70018e9i) q^{67} +(9.77885e8 - 1.69375e9i) q^{68} +(3.48971e8 + 2.01478e8i) q^{69} -1.53223e8i q^{70} +(1.90625e8 + 1.10057e8i) q^{71} +(-5.36068e8 - 3.09499e8i) q^{72} +(2.41472e9 + 1.39414e9i) q^{73} +(-1.69480e8 - 2.93547e8i) q^{74} +4.13241e8i q^{75} +(-2.62811e9 + 1.51734e9i) q^{76} +(2.59369e9 + 1.49747e9i) q^{77} -1.41032e8 q^{78} +(1.30084e9 - 2.25311e9i) q^{79} +(9.59526e8 - 5.53982e8i) q^{80} +(-1.53354e9 - 2.65616e9i) q^{81} -5.73154e8i q^{82} +(1.77799e8 + 3.07956e8i) q^{83} -1.19490e9 q^{84} -2.27061e9i q^{85} +(6.21092e8 + 4.97470e8i) q^{86} -4.44033e8 q^{87} -1.33515e9i q^{88} +(2.93454e9 - 1.69426e9i) q^{89} -3.54106e8 q^{90} +(1.12851e10 - 6.51544e9i) q^{91} +(4.08929e9 + 7.08285e9i) q^{92} +(2.50055e8 + 1.44369e8i) q^{93} -1.49581e9i q^{94} +(-1.76160e9 + 3.05117e9i) q^{95} +(4.01451e8 + 6.95333e8i) q^{96} -1.60853e10 q^{97} +(-1.49230e9 + 8.61577e8i) q^{98} +(3.46073e9 - 5.99416e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.41302i 0.169157i 0.996417 + 0.0845784i \(0.0269543\pi\)
−0.996417 + 0.0845784i \(0.973046\pi\)
\(3\) 42.4427 24.5043i 0.174661 0.100841i −0.410121 0.912031i \(-0.634513\pi\)
0.584782 + 0.811191i \(0.301180\pi\)
\(4\) 994.699 0.971386
\(5\) 1000.11 577.412i 0.320034 0.184772i −0.331374 0.943500i \(-0.607512\pi\)
0.651408 + 0.758728i \(0.274179\pi\)
\(6\) 132.642 + 229.743i 0.0170579 + 0.0295451i
\(7\) −21227.5 12255.7i −1.26302 0.729203i −0.289360 0.957220i \(-0.593442\pi\)
−0.973657 + 0.228017i \(0.926776\pi\)
\(8\) 10927.3i 0.333473i
\(9\) −28323.6 + 49057.9i −0.479662 + 0.830799i
\(10\) 3125.54 + 5413.60i 0.0312554 + 0.0541360i
\(11\) −122185. −0.758675 −0.379338 0.925258i \(-0.623848\pi\)
−0.379338 + 0.925258i \(0.623848\pi\)
\(12\) 42217.7 24374.4i 0.169664 0.0979553i
\(13\) −265812. + 460400.i −0.715909 + 1.23999i 0.246698 + 0.969092i \(0.420654\pi\)
−0.962608 + 0.270899i \(0.912679\pi\)
\(14\) 66340.4 114905.i 0.123350 0.213648i
\(15\) 28298.2 49013.9i 0.0372651 0.0645450i
\(16\) 959423. 0.914977
\(17\) 983096. 1.70277e6i 0.692391 1.19926i −0.278662 0.960389i \(-0.589891\pi\)
0.971052 0.238867i \(-0.0767759\pi\)
\(18\) −265551. 153316.i −0.140535 0.0811381i
\(19\) −2.64211e6 + 1.52542e6i −1.06705 + 0.616059i −0.927373 0.374139i \(-0.877938\pi\)
−0.139673 + 0.990198i \(0.544605\pi\)
\(20\) 994806. 574352.i 0.310877 0.179485i
\(21\) −1.20127e6 −0.294134
\(22\) 661392.i 0.128335i
\(23\) 4.11108e6 + 7.12060e6i 0.638729 + 1.10631i 0.985712 + 0.168440i \(0.0538729\pi\)
−0.346983 + 0.937871i \(0.612794\pi\)
\(24\) 267765. + 463782.i 0.0336277 + 0.0582449i
\(25\) −4.21600e6 + 7.30233e6i −0.431719 + 0.747759i
\(26\) −2.49215e6 1.43885e6i −0.209753 0.121101i
\(27\) 5.67011e6i 0.395160i
\(28\) −2.11150e7 1.21908e7i −1.22688 0.708338i
\(29\) −7.84645e6 4.53015e6i −0.382546 0.220863i 0.296380 0.955070i \(-0.404221\pi\)
−0.678925 + 0.734207i \(0.737554\pi\)
\(30\) 265313. + 153178.i 0.0109182 + 0.00630364i
\(31\) 2.94580e6 + 5.10227e6i 0.102895 + 0.178219i 0.912876 0.408236i \(-0.133856\pi\)
−0.809981 + 0.586456i \(0.800523\pi\)
\(32\) 1.63829e7i 0.488248i
\(33\) −5.18588e6 + 2.99407e6i −0.132511 + 0.0765054i
\(34\) 9.21713e6 + 5.32151e6i 0.202862 + 0.117123i
\(35\) −2.83064e7 −0.538945
\(36\) −2.81734e7 + 4.87978e7i −0.465937 + 0.807027i
\(37\) −5.42299e7 + 3.13096e7i −0.782042 + 0.451512i −0.837153 0.546968i \(-0.815782\pi\)
0.0551116 + 0.998480i \(0.482449\pi\)
\(38\) −8.25714e6 1.43018e7i −0.104211 0.180498i
\(39\) 2.60542e7i 0.288771i
\(40\) 6.30953e6 + 1.09284e7i 0.0616165 + 0.106723i
\(41\) −1.05884e8 −0.913929 −0.456965 0.889485i \(-0.651063\pi\)
−0.456965 + 0.889485i \(0.651063\pi\)
\(42\) 6.50250e6i 0.0497547i
\(43\) 9.19026e7 1.14741e8i 0.625152 0.780503i
\(44\) −1.21538e8 −0.736967
\(45\) 6.54175e7i 0.354513i
\(46\) −3.85439e7 + 2.22533e7i −0.187140 + 0.108045i
\(47\) −2.76335e8 −1.20489 −0.602444 0.798161i \(-0.705806\pi\)
−0.602444 + 0.798161i \(0.705806\pi\)
\(48\) 4.07205e7 2.35100e7i 0.159811 0.0922670i
\(49\) 1.59168e8 + 2.75687e8i 0.563475 + 0.975967i
\(50\) −3.95276e7 2.28213e7i −0.126488 0.0730281i
\(51\) 9.63603e7i 0.279285i
\(52\) −2.64403e8 + 4.57960e8i −0.695424 + 1.20451i
\(53\) 5.92347e7 + 1.02598e8i 0.141644 + 0.245334i 0.928116 0.372292i \(-0.121428\pi\)
−0.786472 + 0.617626i \(0.788095\pi\)
\(54\) −3.06924e7 −0.0668439
\(55\) −1.22199e8 + 7.05514e7i −0.242802 + 0.140182i
\(56\) 1.33921e8 2.31959e8i 0.243170 0.421182i
\(57\) −7.47589e7 + 1.29486e8i −0.124248 + 0.215203i
\(58\) 2.45218e7 4.24730e7i 0.0373605 0.0647102i
\(59\) −4.28718e8 −0.599670 −0.299835 0.953991i \(-0.596932\pi\)
−0.299835 + 0.953991i \(0.596932\pi\)
\(60\) 2.81482e7 4.87541e7i 0.0361988 0.0626981i
\(61\) 1.37229e8 + 7.92292e7i 0.162479 + 0.0938071i 0.579035 0.815303i \(-0.303430\pi\)
−0.416556 + 0.909110i \(0.636763\pi\)
\(62\) −2.76187e7 + 1.59456e7i −0.0301470 + 0.0174054i
\(63\) 1.20248e9 6.94252e8i 1.21164 0.699543i
\(64\) 8.93768e8 0.832386
\(65\) 6.13933e8i 0.529120i
\(66\) −1.62069e7 2.80713e7i −0.0129414 0.0224152i
\(67\) −9.81598e8 1.70018e9i −0.727042 1.25927i −0.958128 0.286341i \(-0.907561\pi\)
0.231085 0.972934i \(-0.425772\pi\)
\(68\) 9.77885e8 1.69375e9i 0.672579 1.16494i
\(69\) 3.48971e8 + 2.01478e8i 0.223123 + 0.128820i
\(70\) 1.53223e8i 0.0911662i
\(71\) 1.90625e8 + 1.10057e8i 0.105655 + 0.0609997i 0.551896 0.833913i \(-0.313904\pi\)
−0.446242 + 0.894913i \(0.647238\pi\)
\(72\) −5.36068e8 3.09499e8i −0.277049 0.159955i
\(73\) 2.41472e9 + 1.39414e9i 1.16480 + 0.672500i 0.952451 0.304693i \(-0.0985539\pi\)
0.212353 + 0.977193i \(0.431887\pi\)
\(74\) −1.69480e8 2.93547e8i −0.0763763 0.132288i
\(75\) 4.13241e8i 0.174139i
\(76\) −2.62811e9 + 1.51734e9i −1.03651 + 0.598431i
\(77\) 2.59369e9 + 1.49747e9i 0.958220 + 0.553229i
\(78\) −1.41032e8 −0.0488476
\(79\) 1.30084e9 2.25311e9i 0.422753 0.732230i −0.573454 0.819237i \(-0.694397\pi\)
0.996208 + 0.0870073i \(0.0277304\pi\)
\(80\) 9.59526e8 5.53982e8i 0.292824 0.169062i
\(81\) −1.53354e9 2.65616e9i −0.439814 0.761780i
\(82\) 5.73154e8i 0.154597i
\(83\) 1.77799e8 + 3.07956e8i 0.0451376 + 0.0781806i 0.887712 0.460400i \(-0.152294\pi\)
−0.842574 + 0.538581i \(0.818961\pi\)
\(84\) −1.19490e9 −0.285717
\(85\) 2.27061e9i 0.511737i
\(86\) 6.21092e8 + 4.97470e8i 0.132027 + 0.105749i
\(87\) −4.44033e8 −0.0890879
\(88\) 1.33515e9i 0.252998i
\(89\) 2.93454e9 1.69426e9i 0.525520 0.303409i −0.213670 0.976906i \(-0.568542\pi\)
0.739190 + 0.673497i \(0.235208\pi\)
\(90\) −3.54106e8 −0.0599682
\(91\) 1.12851e10 6.51544e9i 1.80841 1.04409i
\(92\) 4.08929e9 + 7.08285e9i 0.620453 + 1.07466i
\(93\) 2.50055e8 + 1.44369e8i 0.0359436 + 0.0207520i
\(94\) 1.49581e9i 0.203815i
\(95\) −1.76160e9 + 3.05117e9i −0.227661 + 0.394320i
\(96\) 4.01451e8 + 6.95333e8i 0.0492353 + 0.0852780i
\(97\) −1.60853e10 −1.87315 −0.936573 0.350472i \(-0.886021\pi\)
−0.936573 + 0.350472i \(0.886021\pi\)
\(98\) −1.49230e9 + 8.61577e8i −0.165091 + 0.0953156i
\(99\) 3.46073e9 5.99416e9i 0.363908 0.630307i
\(100\) −4.19365e9 + 7.26362e9i −0.419365 + 0.726362i
\(101\) −5.55491e9 + 9.62138e9i −0.528530 + 0.915441i 0.470916 + 0.882178i \(0.343923\pi\)
−0.999447 + 0.0332636i \(0.989410\pi\)
\(102\) 5.21600e8 0.0472429
\(103\) 6.41776e8 1.11159e9i 0.0553602 0.0958867i −0.837017 0.547177i \(-0.815703\pi\)
0.892377 + 0.451290i \(0.149036\pi\)
\(104\) −5.03091e9 2.90460e9i −0.413504 0.238737i
\(105\) −1.20140e9 + 6.93629e8i −0.0941329 + 0.0543476i
\(106\) −5.55362e8 + 3.20639e8i −0.0414999 + 0.0239600i
\(107\) 1.61111e10 1.14870 0.574351 0.818609i \(-0.305254\pi\)
0.574351 + 0.818609i \(0.305254\pi\)
\(108\) 5.64005e9i 0.383852i
\(109\) −5.30190e7 9.18317e7i −0.00344587 0.00596843i 0.864297 0.502981i \(-0.167764\pi\)
−0.867743 + 0.497013i \(0.834430\pi\)
\(110\) −3.81896e8 6.61463e8i −0.0237127 0.0410716i
\(111\) −1.53444e9 + 2.65773e9i −0.0910616 + 0.157723i
\(112\) −2.03662e10 1.17584e10i −1.15563 0.667204i
\(113\) 3.04877e10i 1.65475i 0.561651 + 0.827375i \(0.310167\pi\)
−0.561651 + 0.827375i \(0.689833\pi\)
\(114\) −7.00911e8 4.04671e8i −0.0364031 0.0210173i
\(115\) 8.22304e9 + 4.74758e9i 0.408831 + 0.236038i
\(116\) −7.80486e9 4.50614e9i −0.371600 0.214543i
\(117\) −1.50575e10 2.60804e10i −0.686790 1.18955i
\(118\) 2.32066e9i 0.101438i
\(119\) −4.17374e10 + 2.40971e10i −1.74900 + 1.00979i
\(120\) 5.35587e8 + 3.09221e8i 0.0215240 + 0.0124269i
\(121\) −1.10081e10 −0.424412
\(122\) −4.28869e8 + 7.42822e8i −0.0158681 + 0.0274844i
\(123\) −4.49402e9 + 2.59462e9i −0.159628 + 0.0921613i
\(124\) 2.93018e9 + 5.07522e9i 0.0999508 + 0.173120i
\(125\) 2.10151e10i 0.688622i
\(126\) 3.75800e9 + 6.50904e9i 0.118332 + 0.204958i
\(127\) 9.26831e9 0.280532 0.140266 0.990114i \(-0.455204\pi\)
0.140266 + 0.990114i \(0.455204\pi\)
\(128\) 2.16140e10i 0.629051i
\(129\) 1.08896e9 7.12191e9i 0.0304833 0.199365i
\(130\) −3.32323e9 −0.0895042
\(131\) 3.59493e10i 0.931825i −0.884831 0.465912i \(-0.845726\pi\)
0.884831 0.465912i \(-0.154274\pi\)
\(132\) −5.15839e9 + 2.97820e9i −0.128720 + 0.0743163i
\(133\) 7.47806e10 1.79693
\(134\) 9.20309e9 5.31341e9i 0.213015 0.122984i
\(135\) 3.27399e9 + 5.67072e9i 0.0730144 + 0.126465i
\(136\) 1.86066e10 + 1.07425e10i 0.399920 + 0.230894i
\(137\) 8.57751e10i 1.77729i −0.458595 0.888646i \(-0.651647\pi\)
0.458595 0.888646i \(-0.348353\pi\)
\(138\) −1.09061e9 + 1.88898e9i −0.0217907 + 0.0377427i
\(139\) −1.82866e9 3.16732e9i −0.0352418 0.0610406i 0.847867 0.530210i \(-0.177887\pi\)
−0.883108 + 0.469169i \(0.844553\pi\)
\(140\) −2.81564e10 −0.523524
\(141\) −1.17284e10 + 6.77140e9i −0.210447 + 0.121502i
\(142\) −5.95742e8 + 1.03186e9i −0.0103185 + 0.0178722i
\(143\) 3.24784e10 5.62542e10i 0.543143 0.940751i
\(144\) −2.71743e10 + 4.70672e10i −0.438880 + 0.760162i
\(145\) −1.04631e10 −0.163237
\(146\) −7.54650e9 + 1.30709e10i −0.113758 + 0.197034i
\(147\) 1.35110e10 + 7.80059e9i 0.196835 + 0.113642i
\(148\) −5.39424e10 + 3.11437e10i −0.759664 + 0.438592i
\(149\) 6.23631e10 3.60054e10i 0.849174 0.490271i −0.0111983 0.999937i \(-0.503565\pi\)
0.860372 + 0.509667i \(0.170231\pi\)
\(150\) −2.23688e9 −0.0294568
\(151\) 6.03532e10i 0.768804i −0.923166 0.384402i \(-0.874408\pi\)
0.923166 0.384402i \(-0.125592\pi\)
\(152\) −1.66687e10 2.88710e10i −0.205439 0.355831i
\(153\) 5.56896e10 + 9.64572e10i 0.664227 + 1.15048i
\(154\) −8.10583e9 + 1.40397e10i −0.0935824 + 0.162089i
\(155\) 5.89223e9 + 3.40188e9i 0.0658599 + 0.0380242i
\(156\) 2.59161e10i 0.280509i
\(157\) 5.51263e10 + 3.18272e10i 0.577911 + 0.333657i 0.760303 0.649569i \(-0.225051\pi\)
−0.182392 + 0.983226i \(0.558384\pi\)
\(158\) 1.21961e10 + 7.04144e9i 0.123862 + 0.0715116i
\(159\) 5.02817e9 + 2.90301e9i 0.0494793 + 0.0285669i
\(160\) 9.45967e9 + 1.63846e10i 0.0902145 + 0.156256i
\(161\) 2.01537e11i 1.86305i
\(162\) 1.43779e10 8.30106e9i 0.128860 0.0743975i
\(163\) 9.58471e10 + 5.53373e10i 0.832992 + 0.480928i 0.854876 0.518832i \(-0.173633\pi\)
−0.0218839 + 0.999761i \(0.506966\pi\)
\(164\) −1.05323e11 −0.887778
\(165\) −3.45762e9 + 5.98878e9i −0.0282721 + 0.0489687i
\(166\) −1.66697e9 + 9.62427e8i −0.0132248 + 0.00763532i
\(167\) 7.23243e10 + 1.25269e11i 0.556803 + 0.964411i 0.997761 + 0.0668834i \(0.0213055\pi\)
−0.440958 + 0.897528i \(0.645361\pi\)
\(168\) 1.31266e10i 0.0980857i
\(169\) −7.23830e10 1.25371e11i −0.525053 0.909418i
\(170\) 1.22908e10 0.0865638
\(171\) 1.72822e11i 1.18200i
\(172\) 9.14155e10 1.14132e11i 0.607264 0.758170i
\(173\) 2.05728e11 1.32758 0.663792 0.747917i \(-0.268946\pi\)
0.663792 + 0.747917i \(0.268946\pi\)
\(174\) 2.40356e9i 0.0150698i
\(175\) 1.78991e11 1.03340e11i 1.09054 0.629621i
\(176\) −1.17227e11 −0.694170
\(177\) −1.81960e10 + 1.05054e10i −0.104739 + 0.0604711i
\(178\) 9.17103e9 + 1.58847e10i 0.0513237 + 0.0888953i
\(179\) 1.22573e11 + 7.07677e10i 0.667007 + 0.385097i 0.794942 0.606686i \(-0.207501\pi\)
−0.127935 + 0.991783i \(0.540835\pi\)
\(180\) 6.50708e10i 0.344368i
\(181\) 2.15852e10 3.73867e10i 0.111113 0.192453i −0.805107 0.593130i \(-0.797892\pi\)
0.916219 + 0.400678i \(0.131225\pi\)
\(182\) 3.52682e10 + 6.10863e10i 0.176614 + 0.305905i
\(183\) 7.76582e9 0.0378383
\(184\) −7.78086e10 + 4.49228e10i −0.368925 + 0.212999i
\(185\) −3.61571e10 + 6.26260e10i −0.166854 + 0.288999i
\(186\) −7.81474e8 + 1.35355e9i −0.00351034 + 0.00608010i
\(187\) −1.20120e11 + 2.08054e11i −0.525300 + 0.909846i
\(188\) −2.74870e11 −1.17041
\(189\) 6.94913e10 1.20362e11i 0.288152 0.499093i
\(190\) −1.65161e10 9.53555e9i −0.0667019 0.0385104i
\(191\) −3.42858e11 + 1.97949e11i −1.34880 + 0.778729i −0.988079 0.153945i \(-0.950802\pi\)
−0.360719 + 0.932674i \(0.617469\pi\)
\(192\) 3.79339e10 2.19012e10i 0.145386 0.0839385i
\(193\) −3.60615e11 −1.34666 −0.673329 0.739343i \(-0.735136\pi\)
−0.673329 + 0.739343i \(0.735136\pi\)
\(194\) 8.70702e10i 0.316855i
\(195\) 1.50440e10 + 2.60570e10i 0.0533569 + 0.0924168i
\(196\) 1.58324e11 + 2.74225e11i 0.547352 + 0.948041i
\(197\) −9.01186e10 + 1.56090e11i −0.303727 + 0.526070i −0.976977 0.213344i \(-0.931564\pi\)
0.673250 + 0.739415i \(0.264898\pi\)
\(198\) 3.24465e10 + 1.87330e10i 0.106621 + 0.0615575i
\(199\) 2.38161e11i 0.763141i −0.924340 0.381570i \(-0.875383\pi\)
0.924340 0.381570i \(-0.124617\pi\)
\(200\) −7.97944e10 4.60693e10i −0.249358 0.143967i
\(201\) −8.33234e10 4.81068e10i −0.253972 0.146631i
\(202\) −5.20807e10 3.00688e10i −0.154853 0.0894045i
\(203\) 1.11041e11 + 1.92328e11i 0.322108 + 0.557907i
\(204\) 9.58495e10i 0.271293i
\(205\) −1.05896e11 + 6.11389e10i −0.292489 + 0.168868i
\(206\) 6.01705e9 + 3.47395e9i 0.0162199 + 0.00936455i
\(207\) −4.65762e11 −1.22550
\(208\) −2.55026e11 + 4.41718e11i −0.655041 + 1.13456i
\(209\) 3.22827e11 1.86384e11i 0.809541 0.467389i
\(210\) −3.75462e9 6.50320e9i −0.00919327 0.0159232i
\(211\) 5.09908e11i 1.21921i −0.792704 0.609607i \(-0.791327\pi\)
0.792704 0.609607i \(-0.208673\pi\)
\(212\) 5.89208e10 + 1.02054e11i 0.137591 + 0.238314i
\(213\) 1.07875e10 0.0246050
\(214\) 8.72099e10i 0.194311i
\(215\) 2.56599e10 1.67819e11i 0.0558550 0.365298i
\(216\) −6.19587e10 −0.131775
\(217\) 1.44411e11i 0.300126i
\(218\) 4.97086e8 2.86993e8i 0.00100960 0.000582893i
\(219\) 1.36650e11 0.271262
\(220\) −1.21551e11 + 7.01774e10i −0.235855 + 0.136171i
\(221\) 5.22638e11 + 9.05235e11i 0.991378 + 1.71712i
\(222\) −1.43863e10 8.30596e9i −0.0266800 0.0154037i
\(223\) 9.77505e11i 1.77253i 0.463175 + 0.886267i \(0.346710\pi\)
−0.463175 + 0.886267i \(0.653290\pi\)
\(224\) 2.00784e11 3.47768e11i 0.356032 0.616665i
\(225\) −2.38825e11 4.13656e11i −0.414158 0.717343i
\(226\) −1.65030e11 −0.279912
\(227\) −3.19561e11 + 1.84499e11i −0.530181 + 0.306100i −0.741090 0.671405i \(-0.765691\pi\)
0.210909 + 0.977506i \(0.432358\pi\)
\(228\) −7.43626e10 + 1.28800e11i −0.120693 + 0.209046i
\(229\) 3.48261e11 6.03205e11i 0.553002 0.957828i −0.445054 0.895504i \(-0.646815\pi\)
0.998056 0.0623243i \(-0.0198513\pi\)
\(230\) −2.56987e10 + 4.45115e10i −0.0399275 + 0.0691564i
\(231\) 1.46778e11 0.223152
\(232\) 4.95021e10 8.57402e10i 0.0736519 0.127569i
\(233\) 3.95792e11 + 2.28510e11i 0.576351 + 0.332756i 0.759682 0.650295i \(-0.225355\pi\)
−0.183331 + 0.983051i \(0.558688\pi\)
\(234\) 1.41173e11 8.15065e10i 0.201221 0.116175i
\(235\) −2.76365e11 + 1.59559e11i −0.385606 + 0.222629i
\(236\) −4.26446e11 −0.582511
\(237\) 1.27504e11i 0.170523i
\(238\) −1.30438e11 2.25925e11i −0.170812 0.295856i
\(239\) −3.81992e11 6.61630e11i −0.489852 0.848449i 0.510080 0.860127i \(-0.329616\pi\)
−0.999932 + 0.0116785i \(0.996283\pi\)
\(240\) 2.71499e10 4.70250e10i 0.0340967 0.0590572i
\(241\) 8.47211e11 + 4.89138e11i 1.04209 + 0.601653i 0.920425 0.390918i \(-0.127842\pi\)
0.121668 + 0.992571i \(0.461176\pi\)
\(242\) 5.95873e10i 0.0717921i
\(243\) −4.20133e11 2.42564e11i −0.495855 0.286282i
\(244\) 1.36502e11 + 7.88092e10i 0.157830 + 0.0911230i
\(245\) 3.18370e11 + 1.83811e11i 0.360663 + 0.208229i
\(246\) −1.40447e10 2.43262e10i −0.0155897 0.0270022i
\(247\) 1.62190e12i 1.76417i
\(248\) −5.57538e10 + 3.21895e10i −0.0594314 + 0.0343127i
\(249\) 1.50925e10 + 8.71367e9i 0.0157676 + 0.00910341i
\(250\) −1.13755e11 −0.116485
\(251\) −7.72038e11 + 1.33721e12i −0.774944 + 1.34224i 0.159883 + 0.987136i \(0.448888\pi\)
−0.934826 + 0.355106i \(0.884445\pi\)
\(252\) 1.19611e12 6.90572e11i 1.17697 0.679526i
\(253\) −5.02314e11 8.70034e11i −0.484588 0.839331i
\(254\) 5.01695e10i 0.0474538i
\(255\) −5.56396e10 9.63707e10i −0.0516040 0.0893807i
\(256\) 7.98221e11 0.725978
\(257\) 1.98701e12i 1.77229i 0.463410 + 0.886144i \(0.346626\pi\)
−0.463410 + 0.886144i \(0.653374\pi\)
\(258\) 3.85510e10 + 5.89454e9i 0.0337239 + 0.00515646i
\(259\) 1.53489e12 1.31698
\(260\) 6.10679e11i 0.513980i
\(261\) 4.44479e11 2.56620e11i 0.366986 0.211879i
\(262\) 1.94594e11 0.157624
\(263\) 9.45478e11 5.45872e11i 0.751403 0.433822i −0.0747979 0.997199i \(-0.523831\pi\)
0.826200 + 0.563376i \(0.190498\pi\)
\(264\) −3.27169e10 5.66674e10i −0.0255125 0.0441890i
\(265\) 1.18482e11 + 6.84057e10i 0.0906617 + 0.0523436i
\(266\) 4.04789e11i 0.303963i
\(267\) 8.30331e10 1.43818e11i 0.0611920 0.105988i
\(268\) −9.76395e11 1.69117e12i −0.706239 1.22324i
\(269\) −2.45725e12 −1.74457 −0.872283 0.489001i \(-0.837362\pi\)
−0.872283 + 0.489001i \(0.837362\pi\)
\(270\) −3.06957e10 + 1.77222e10i −0.0213923 + 0.0123509i
\(271\) 8.72099e11 1.51052e12i 0.596650 1.03343i −0.396662 0.917965i \(-0.629832\pi\)
0.993312 0.115463i \(-0.0368351\pi\)
\(272\) 9.43204e11 1.63368e12i 0.633521 1.09729i
\(273\) 3.19313e11 5.53066e11i 0.210573 0.364723i
\(274\) 4.64302e11 0.300641
\(275\) 5.15134e11 8.92238e11i 0.327534 0.567306i
\(276\) 3.47121e11 + 2.00410e11i 0.216738 + 0.125134i
\(277\) −9.40483e11 + 5.42988e11i −0.576703 + 0.332959i −0.759822 0.650131i \(-0.774714\pi\)
0.183119 + 0.983091i \(0.441381\pi\)
\(278\) 1.71448e10 9.89854e9i 0.0103254 0.00596139i
\(279\) −3.33742e11 −0.197419
\(280\) 3.09311e11i 0.179724i
\(281\) 1.40891e12 + 2.44030e12i 0.804176 + 1.39287i 0.916846 + 0.399241i \(0.130726\pi\)
−0.112670 + 0.993633i \(0.535940\pi\)
\(282\) −3.66537e10 6.34860e10i −0.0205529 0.0355986i
\(283\) 1.18559e11 2.05351e11i 0.0653136 0.113126i −0.831519 0.555496i \(-0.812529\pi\)
0.896833 + 0.442369i \(0.145862\pi\)
\(284\) 1.89615e11 + 1.09474e11i 0.102631 + 0.0592542i
\(285\) 1.72667e11i 0.0918300i
\(286\) 3.04505e11 + 1.75806e11i 0.159134 + 0.0918763i
\(287\) 2.24766e12 + 1.29769e12i 1.15431 + 0.666440i
\(288\) −8.03709e11 4.64022e11i −0.405636 0.234194i
\(289\) −9.24958e11 1.60207e12i −0.458810 0.794682i
\(290\) 5.66367e10i 0.0276127i
\(291\) −6.82705e11 + 3.94160e11i −0.327166 + 0.188889i
\(292\) 2.40192e12 + 1.38675e12i 1.13147 + 0.653257i
\(293\) −8.48561e11 −0.392957 −0.196478 0.980508i \(-0.562951\pi\)
−0.196478 + 0.980508i \(0.562951\pi\)
\(294\) −4.22247e10 + 7.31353e10i −0.0192234 + 0.0332959i
\(295\) −4.28764e11 + 2.47547e11i −0.191915 + 0.110802i
\(296\) −3.42128e11 5.92583e11i −0.150567 0.260790i
\(297\) 6.92805e11i 0.299798i
\(298\) 1.94898e11 + 3.37573e11i 0.0829326 + 0.143643i
\(299\) −4.37110e12 −1.82909
\(300\) 4.11050e11i 0.169157i
\(301\) −3.35709e12 + 1.30933e12i −1.35872 + 0.529926i
\(302\) 3.26693e11 0.130048
\(303\) 5.44477e11i 0.213190i
\(304\) −2.53490e12 + 1.46353e12i −0.976322 + 0.563680i
\(305\) 1.82992e11 0.0693317
\(306\) −5.22124e11 + 3.01449e11i −0.194611 + 0.112359i
\(307\) 1.93868e11 + 3.35789e11i 0.0710908 + 0.123133i 0.899380 0.437168i \(-0.144019\pi\)
−0.828289 + 0.560301i \(0.810685\pi\)
\(308\) 2.57995e12 + 1.48953e12i 0.930802 + 0.537399i
\(309\) 6.29052e10i 0.0223303i
\(310\) −1.84144e10 + 3.18947e10i −0.00643205 + 0.0111406i
\(311\) 1.11110e12 + 1.92448e12i 0.381900 + 0.661471i 0.991334 0.131366i \(-0.0419364\pi\)
−0.609433 + 0.792837i \(0.708603\pi\)
\(312\) −2.84700e11 −0.0962975
\(313\) −2.63060e12 + 1.51878e12i −0.875656 + 0.505560i −0.869224 0.494419i \(-0.835381\pi\)
−0.00643254 + 0.999979i \(0.502048\pi\)
\(314\) −1.72281e11 + 2.98400e11i −0.0564403 + 0.0977575i
\(315\) 8.01739e11 1.38865e12i 0.258512 0.447755i
\(316\) 1.29394e12 2.24117e12i 0.410657 0.711278i
\(317\) −5.03131e12 −1.57176 −0.785878 0.618382i \(-0.787788\pi\)
−0.785878 + 0.618382i \(0.787788\pi\)
\(318\) −1.57141e10 + 2.72175e10i −0.00483229 + 0.00836977i
\(319\) 9.58722e11 + 5.53519e11i 0.290228 + 0.167563i
\(320\) 8.93864e11 5.16073e11i 0.266392 0.153802i
\(321\) 6.83800e11 3.94792e11i 0.200634 0.115836i
\(322\) 1.09092e12 0.315148
\(323\) 5.99855e12i 1.70621i
\(324\) −1.52541e12 2.64208e12i −0.427229 0.739983i
\(325\) −2.24133e12 3.88210e12i −0.618143 1.07066i
\(326\) −2.99542e11 + 5.18822e11i −0.0813522 + 0.140906i
\(327\) −4.50054e9 2.59839e9i −0.00120372 0.000694969i
\(328\) 1.15703e12i 0.304771i
\(329\) 5.86591e12 + 3.38668e12i 1.52179 + 0.878608i
\(330\) −3.24174e10 1.87162e10i −0.00828339 0.00478242i
\(331\) −7.65396e11 4.41902e11i −0.192640 0.111221i 0.400578 0.916263i \(-0.368809\pi\)
−0.593218 + 0.805042i \(0.702143\pi\)
\(332\) 1.76856e11 + 3.06324e11i 0.0438460 + 0.0759435i
\(333\) 3.54720e12i 0.866293i
\(334\) −6.78085e11 + 3.91492e11i −0.163137 + 0.0941870i
\(335\) −1.96341e12 1.13357e12i −0.465357 0.268674i
\(336\) −1.15253e12 −0.269125
\(337\) −9.91252e11 + 1.71690e12i −0.228052 + 0.394998i −0.957231 0.289325i \(-0.906569\pi\)
0.729178 + 0.684324i \(0.239902\pi\)
\(338\) 6.78635e11 3.91810e11i 0.153834 0.0888162i
\(339\) 7.47079e11 + 1.29398e12i 0.166866 + 0.289021i
\(340\) 2.25857e12i 0.497095i
\(341\) −3.59933e11 6.23423e11i −0.0780639 0.135211i
\(342\) 9.35487e11 0.199943
\(343\) 8.78984e11i 0.185144i
\(344\) 1.25380e12 + 1.00424e12i 0.260277 + 0.208471i
\(345\) 4.65344e11 0.0952092
\(346\) 1.11361e12i 0.224570i
\(347\) −2.02012e12 + 1.16631e12i −0.401540 + 0.231829i −0.687148 0.726517i \(-0.741138\pi\)
0.285608 + 0.958346i \(0.407804\pi\)
\(348\) −4.41679e11 −0.0865388
\(349\) −6.19937e12 + 3.57921e12i −1.19735 + 0.691289i −0.959963 0.280126i \(-0.909624\pi\)
−0.237385 + 0.971416i \(0.576290\pi\)
\(350\) 5.59383e11 + 9.68879e11i 0.106505 + 0.184472i
\(351\) −2.61052e12 1.50718e12i −0.489995 0.282898i
\(352\) 2.00175e12i 0.370422i
\(353\) −1.40048e12 + 2.42571e12i −0.255508 + 0.442553i −0.965033 0.262127i \(-0.915576\pi\)
0.709525 + 0.704680i \(0.248909\pi\)
\(354\) −5.68661e10 9.84950e10i −0.0102291 0.0177173i
\(355\) 2.54194e11 0.0450841
\(356\) 2.91898e12 1.68527e12i 0.510483 0.294727i
\(357\) −1.18097e12 + 2.04549e12i −0.203655 + 0.352742i
\(358\) −3.83067e11 + 6.63491e11i −0.0651417 + 0.112829i
\(359\) −3.49976e12 + 6.06177e12i −0.586903 + 1.01655i 0.407732 + 0.913102i \(0.366320\pi\)
−0.994635 + 0.103445i \(0.967014\pi\)
\(360\) −7.14834e11 −0.118220
\(361\) 1.58830e12 2.75101e12i 0.259057 0.448701i
\(362\) 2.02375e11 + 1.16841e11i 0.0325547 + 0.0187954i
\(363\) −4.67215e11 + 2.69747e11i −0.0741283 + 0.0427980i
\(364\) 1.12253e13 6.48090e12i 1.75667 1.01421i
\(365\) 3.21997e12 0.497036
\(366\) 4.20365e10i 0.00640061i
\(367\) −5.68368e12 9.84442e12i −0.853688 1.47863i −0.877857 0.478924i \(-0.841027\pi\)
0.0241683 0.999708i \(-0.492306\pi\)
\(368\) 3.94426e12 + 6.83166e12i 0.584422 + 1.01225i
\(369\) 2.99902e12 5.19446e12i 0.438377 0.759292i
\(370\) −3.38995e11 1.95719e11i −0.0488861 0.0282244i
\(371\) 2.90386e12i 0.413148i
\(372\) 2.48730e11 + 1.43604e11i 0.0349151 + 0.0201582i
\(373\) 1.04329e13 + 6.02343e12i 1.44497 + 0.834256i 0.998176 0.0603785i \(-0.0192308\pi\)
0.446798 + 0.894635i \(0.352564\pi\)
\(374\) −1.12620e12 6.50211e11i −0.153907 0.0888580i
\(375\) 5.14960e11 + 8.91936e11i 0.0694412 + 0.120276i
\(376\) 3.01958e12i 0.401798i
\(377\) 4.17137e12 2.40834e12i 0.547736 0.316236i
\(378\) 6.51523e11 + 3.76157e11i 0.0844250 + 0.0487428i
\(379\) 7.42405e12 0.949390 0.474695 0.880150i \(-0.342558\pi\)
0.474695 + 0.880150i \(0.342558\pi\)
\(380\) −1.75226e12 + 3.03500e12i −0.221147 + 0.383037i
\(381\) 3.93372e11 2.27113e11i 0.0489980 0.0282890i
\(382\) −1.07150e12 1.85589e12i −0.131727 0.228158i
\(383\) 9.03964e12i 1.09688i −0.836191 0.548438i \(-0.815223\pi\)
0.836191 0.548438i \(-0.184777\pi\)
\(384\) 5.29637e11 + 9.17358e11i 0.0634340 + 0.109871i
\(385\) 3.45863e12 0.408884
\(386\) 1.95201e12i 0.227796i
\(387\) 3.02592e12 + 7.75841e12i 0.348580 + 0.893754i
\(388\) −1.60001e13 −1.81955
\(389\) 1.17439e13i 1.31845i −0.751944 0.659227i \(-0.770884\pi\)
0.751944 0.659227i \(-0.229116\pi\)
\(390\) −1.41047e11 + 8.14334e10i −0.0156329 + 0.00902567i
\(391\) 1.61663e13 1.76900
\(392\) −3.01250e12 + 1.73927e12i −0.325459 + 0.187904i
\(393\) −8.80913e11 1.52579e12i −0.0939659 0.162754i
\(394\) −8.44918e11 4.87813e11i −0.0889884 0.0513775i
\(395\) 3.00447e12i 0.312452i
\(396\) 3.44238e12 5.96238e12i 0.353495 0.612272i
\(397\) 3.40150e12 + 5.89157e12i 0.344920 + 0.597418i 0.985339 0.170607i \(-0.0545728\pi\)
−0.640419 + 0.768025i \(0.721239\pi\)
\(398\) 1.28917e12 0.129090
\(399\) 3.17389e12 1.83245e12i 0.313854 0.181204i
\(400\) −4.04493e12 + 7.00602e12i −0.395013 + 0.684182i
\(401\) −3.19388e12 + 5.53196e12i −0.308032 + 0.533528i −0.977932 0.208924i \(-0.933004\pi\)
0.669899 + 0.742452i \(0.266337\pi\)
\(402\) 2.60403e11 4.51031e11i 0.0248036 0.0429611i
\(403\) −3.13211e12 −0.294654
\(404\) −5.52546e12 + 9.57038e12i −0.513407 + 0.889247i
\(405\) −3.06740e12 1.77097e12i −0.281511 0.162531i
\(406\) −1.04107e12 + 6.01064e11i −0.0943738 + 0.0544867i
\(407\) 6.62610e12 3.82558e12i 0.593316 0.342551i
\(408\) 1.05295e12 0.0931340
\(409\) 2.99841e12i 0.261984i −0.991383 0.130992i \(-0.958184\pi\)
0.991383 0.130992i \(-0.0418162\pi\)
\(410\) −3.30946e11 5.73215e11i −0.0285652 0.0494765i
\(411\) −2.10186e12 3.64053e12i −0.179223 0.310424i
\(412\) 6.38375e11 1.10570e12i 0.0537761 0.0931430i
\(413\) 9.10063e12 + 5.25425e12i 0.757393 + 0.437281i
\(414\) 2.52118e12i 0.207301i
\(415\) 3.55636e11 + 2.05326e11i 0.0288911 + 0.0166803i
\(416\) −7.54268e12 4.35477e12i −0.605423 0.349541i
\(417\) −1.55226e11 8.96199e10i −0.0123108 0.00710762i
\(418\) 1.00890e12 + 1.74747e12i 0.0790620 + 0.136939i
\(419\) 1.52112e13i 1.17786i 0.808185 + 0.588929i \(0.200450\pi\)
−0.808185 + 0.588929i \(0.799550\pi\)
\(420\) −1.19503e12 + 6.89952e11i −0.0914394 + 0.0527925i
\(421\) −1.71660e13 9.91079e12i −1.29795 0.749373i −0.317902 0.948124i \(-0.602978\pi\)
−0.980050 + 0.198751i \(0.936311\pi\)
\(422\) 2.76014e12 0.206238
\(423\) 7.82680e12 1.35564e13i 0.577939 1.00102i
\(424\) −1.12111e12 + 6.47273e11i −0.0818123 + 0.0472344i
\(425\) 8.28947e12 + 1.43578e13i 0.597836 + 1.03548i
\(426\) 5.83930e10i 0.00416210i
\(427\) −1.94202e12 3.36368e12i −0.136809 0.236960i
\(428\) 1.60257e13 1.11583
\(429\) 3.18344e12i 0.219084i
\(430\) 9.08405e11 + 1.38897e11i 0.0617927 + 0.00944825i
\(431\) 1.53254e12 0.103045 0.0515224 0.998672i \(-0.483593\pi\)
0.0515224 + 0.998672i \(0.483593\pi\)
\(432\) 5.44003e12i 0.361562i
\(433\) −1.46560e13 + 8.46162e12i −0.962886 + 0.555922i −0.897060 0.441909i \(-0.854301\pi\)
−0.0658256 + 0.997831i \(0.520968\pi\)
\(434\) 7.81701e11 0.0507683
\(435\) −4.44081e11 + 2.56390e11i −0.0285112 + 0.0164610i
\(436\) −5.27380e10 9.13449e10i −0.00334727 0.00579765i
\(437\) −2.17239e13 1.25423e13i −1.36311 0.786990i
\(438\) 7.39687e11i 0.0458857i
\(439\) −1.37398e12 + 2.37981e12i −0.0842671 + 0.145955i −0.905079 0.425244i \(-0.860188\pi\)
0.820812 + 0.571199i \(0.193522\pi\)
\(440\) −7.70933e11 1.33529e12i −0.0467469 0.0809680i
\(441\) −1.80328e13 −1.08111
\(442\) −4.90005e12 + 2.82905e12i −0.290462 + 0.167698i
\(443\) −1.58024e13 + 2.73705e13i −0.926197 + 1.60422i −0.136571 + 0.990630i \(0.543608\pi\)
−0.789625 + 0.613589i \(0.789725\pi\)
\(444\) −1.52631e12 + 2.64364e12i −0.0884560 + 0.153210i
\(445\) 1.95657e12 3.38887e12i 0.112123 0.194203i
\(446\) −5.29125e12 −0.299836
\(447\) 1.76457e12 3.05633e12i 0.0988785 0.171263i
\(448\) −1.89725e13 1.09538e13i −1.05132 0.606979i
\(449\) −9.42763e12 + 5.44304e12i −0.516619 + 0.298270i −0.735550 0.677470i \(-0.763076\pi\)
0.218931 + 0.975740i \(0.429743\pi\)
\(450\) 2.23913e12 1.29276e12i 0.121343 0.0700577i
\(451\) 1.29375e13 0.693376
\(452\) 3.03261e13i 1.60740i
\(453\) −1.47891e12 2.56155e12i −0.0775268 0.134280i
\(454\) −9.98693e11 1.72979e12i −0.0517789 0.0896837i
\(455\) 7.52419e12 1.30323e13i 0.385836 0.668288i
\(456\) −1.41493e12 8.16909e11i −0.0717646 0.0414333i
\(457\) 1.37791e13i 0.691259i −0.938371 0.345630i \(-0.887665\pi\)
0.938371 0.345630i \(-0.112335\pi\)
\(458\) 3.26516e12 + 1.88514e12i 0.162023 + 0.0935441i
\(459\) 9.65490e12 + 5.57426e12i 0.473897 + 0.273605i
\(460\) 8.17945e12 + 4.72241e12i 0.397132 + 0.229284i
\(461\) 1.36367e13 + 2.36195e13i 0.654946 + 1.13440i 0.981907 + 0.189362i \(0.0606421\pi\)
−0.326961 + 0.945038i \(0.606025\pi\)
\(462\) 7.94511e11i 0.0377477i
\(463\) 2.82374e13 1.63029e13i 1.32715 0.766231i 0.342293 0.939593i \(-0.388796\pi\)
0.984858 + 0.173362i \(0.0554631\pi\)
\(464\) −7.52807e12 4.34633e12i −0.350020 0.202084i
\(465\) 3.33443e11 0.0153376
\(466\) −1.23693e12 + 2.14243e12i −0.0562880 + 0.0974937i
\(467\) 9.07944e12 5.24201e12i 0.408766 0.236001i −0.281494 0.959563i \(-0.590830\pi\)
0.690259 + 0.723562i \(0.257496\pi\)
\(468\) −1.49777e13 2.59421e13i −0.667138 1.15552i
\(469\) 4.81208e13i 2.12065i
\(470\) −8.63697e11 1.49597e12i −0.0376593 0.0652278i
\(471\) 3.11961e12 0.134585
\(472\) 4.68471e12i 0.199974i
\(473\) −1.12292e13 + 1.40196e13i −0.474287 + 0.592149i
\(474\) 6.90183e11 0.0288451
\(475\) 2.57248e13i 1.06386i
\(476\) −4.15162e13 + 2.39694e13i −1.69896 + 0.980893i
\(477\) −6.71096e12 −0.271765
\(478\) 3.58141e12 2.06773e12i 0.143521 0.0828618i
\(479\) −5.70127e12 9.87489e12i −0.226097 0.391611i 0.730551 0.682858i \(-0.239263\pi\)
−0.956648 + 0.291247i \(0.905930\pi\)
\(480\) 8.02988e11 + 4.63605e11i 0.0315140 + 0.0181946i
\(481\) 3.32899e13i 1.29297i
\(482\) −2.64771e12 + 4.58597e12i −0.101774 + 0.176277i
\(483\) −4.93852e12 8.55377e12i −0.187872 0.325403i
\(484\) −1.09498e13 −0.412267
\(485\) −1.60871e13 + 9.28788e12i −0.599471 + 0.346105i
\(486\) 1.31300e12 2.27418e12i 0.0484266 0.0838773i
\(487\) 1.43291e13 2.48187e13i 0.523087 0.906013i −0.476552 0.879146i \(-0.658114\pi\)
0.999639 0.0268671i \(-0.00855309\pi\)
\(488\) −8.65757e11 + 1.49954e12i −0.0312822 + 0.0541823i
\(489\) 5.42401e12 0.193989
\(490\) −9.94971e11 + 1.72334e12i −0.0352233 + 0.0610085i
\(491\) 2.45190e13 + 1.41561e13i 0.859203 + 0.496061i 0.863745 0.503929i \(-0.168113\pi\)
−0.00454237 + 0.999990i \(0.501446\pi\)
\(492\) −4.47020e12 + 2.58087e12i −0.155061 + 0.0895242i
\(493\) −1.54276e13 + 8.90715e12i −0.529742 + 0.305847i
\(494\) 8.77939e12 0.298421
\(495\) 7.99307e12i 0.268960i
\(496\) 2.82626e12 + 4.89523e12i 0.0941465 + 0.163067i
\(497\) −2.69767e12 4.67249e12i −0.0889623 0.154087i
\(498\) −4.71672e10 + 8.16960e10i −0.00153990 + 0.00266719i
\(499\) 2.26384e13 + 1.30703e13i 0.731718 + 0.422457i 0.819050 0.573722i \(-0.194501\pi\)
−0.0873325 + 0.996179i \(0.527834\pi\)
\(500\) 2.09037e13i 0.668918i
\(501\) 6.13927e12 + 3.54451e12i 0.194504 + 0.112297i
\(502\) −7.23833e12 4.17905e12i −0.227049 0.131087i
\(503\) 5.05383e13 + 2.91783e13i 1.56957 + 0.906191i 0.996219 + 0.0868802i \(0.0276897\pi\)
0.573350 + 0.819311i \(0.305644\pi\)
\(504\) 7.58626e12 + 1.31398e13i 0.233279 + 0.404051i
\(505\) 1.28299e13i 0.390630i
\(506\) 4.70951e12 2.71903e12i 0.141979 0.0819713i
\(507\) −6.14426e12 3.54739e12i −0.183413 0.105893i
\(508\) 9.21918e12 0.272504
\(509\) −5.47658e12 + 9.48571e12i −0.160295 + 0.277639i −0.934975 0.354715i \(-0.884578\pi\)
0.774679 + 0.632354i \(0.217911\pi\)
\(510\) 5.21656e11 3.01178e11i 0.0151194 0.00872916i
\(511\) −3.41724e13 5.91883e13i −0.980778 1.69876i
\(512\) 2.64536e13i 0.751856i
\(513\) −8.64931e12 1.49811e13i −0.243442 0.421653i
\(514\) −1.07557e13 −0.299794
\(515\) 1.48228e12i 0.0409160i
\(516\) 1.08319e12 7.08416e12i 0.0296111 0.193660i
\(517\) 3.37641e13 0.914119
\(518\) 8.30837e12i 0.222775i
\(519\) 8.73164e12 5.04121e12i 0.231878 0.133875i
\(520\) −6.70860e12 −0.176447
\(521\) 4.18942e13 2.41876e13i 1.09135 0.630092i 0.157416 0.987532i \(-0.449684\pi\)
0.933936 + 0.357440i \(0.116350\pi\)
\(522\) 1.38909e12 + 2.40597e12i 0.0358408 + 0.0620781i
\(523\) −4.52009e13 2.60968e13i −1.15515 0.666927i −0.205014 0.978759i \(-0.565724\pi\)
−0.950137 + 0.311832i \(0.899057\pi\)
\(524\) 3.57588e13i 0.905162i
\(525\) 5.06456e12 8.77208e12i 0.126983 0.219941i
\(526\) 2.95481e12 + 5.11789e12i 0.0733840 + 0.127105i
\(527\) 1.15840e13 0.284974
\(528\) −4.97545e12 + 2.87258e12i −0.121245 + 0.0700007i
\(529\) −1.30887e13 + 2.26703e13i −0.315950 + 0.547241i
\(530\) −3.70281e11 + 6.41346e11i −0.00885427 + 0.0153360i
\(531\) 1.21428e13 2.10320e13i 0.287639 0.498205i
\(532\) 7.43842e13 1.74551
\(533\) 2.81454e13 4.87492e13i 0.654291 1.13326i
\(534\) 7.78487e11 + 4.49459e11i 0.0179285 + 0.0103510i
\(535\) 1.61129e13 9.30277e12i 0.367624 0.212248i
\(536\) 1.85783e13 1.07262e13i 0.419934 0.242449i
\(537\) 6.93645e12 0.155334
\(538\) 1.33011e13i 0.295105i
\(539\) −1.94480e13 3.36849e13i −0.427495 0.740442i
\(540\) 3.25664e12 + 5.64066e12i 0.0709252 + 0.122846i
\(541\) −4.44134e12 + 7.69263e12i −0.0958359 + 0.165993i −0.909957 0.414702i \(-0.863886\pi\)
0.814121 + 0.580695i \(0.197219\pi\)
\(542\) 8.17647e12 + 4.72069e12i 0.174811 + 0.100927i
\(543\) 2.11572e12i 0.0448187i
\(544\) 2.78963e13 + 1.61059e13i 0.585534 + 0.338058i
\(545\) −1.06049e11 6.12277e10i −0.00220560 0.00127340i
\(546\) 2.99375e12 + 1.72844e12i 0.0616954 + 0.0356199i
\(547\) 9.94615e12 + 1.72272e13i 0.203104 + 0.351786i 0.949527 0.313685i \(-0.101564\pi\)
−0.746423 + 0.665472i \(0.768230\pi\)
\(548\) 8.53205e13i 1.72644i
\(549\) −7.77363e12 + 4.48811e12i −0.155870 + 0.0899915i
\(550\) 4.82970e12 + 2.78843e12i 0.0959637 + 0.0554046i
\(551\) 2.76416e13 0.544258
\(552\) −2.20160e12 + 3.81329e12i −0.0429580 + 0.0744054i
\(553\) −5.52271e13 + 3.18854e13i −1.06789 + 0.616546i
\(554\) −2.93920e12 5.09085e12i −0.0563223 0.0975531i
\(555\) 3.54402e12i 0.0673025i
\(556\) −1.81896e12 3.15054e12i −0.0342334 0.0592940i
\(557\) −5.12839e12 −0.0956545 −0.0478273 0.998856i \(-0.515230\pi\)
−0.0478273 + 0.998856i \(0.515230\pi\)
\(558\) 1.80655e12i 0.0333948i
\(559\) 2.83977e13 + 7.28114e13i 0.520265 + 1.33395i
\(560\) −2.71578e13 −0.493122
\(561\) 1.17738e13i 0.211887i
\(562\) −1.32094e13 + 7.62644e12i −0.235614 + 0.136032i
\(563\) −7.84151e13 −1.38630 −0.693151 0.720792i \(-0.743778\pi\)
−0.693151 + 0.720792i \(0.743778\pi\)
\(564\) −1.16662e13 + 6.73550e12i −0.204426 + 0.118025i
\(565\) 1.76040e13 + 3.04910e13i 0.305751 + 0.529577i
\(566\) 1.11157e12 + 6.41763e11i 0.0191361 + 0.0110482i
\(567\) 7.51784e13i 1.28286i
\(568\) −1.20262e12 + 2.08301e12i −0.0203418 + 0.0352330i
\(569\) −1.69450e13 2.93497e13i −0.284107 0.492087i 0.688285 0.725440i \(-0.258364\pi\)
−0.972392 + 0.233353i \(0.925030\pi\)
\(570\) −9.34648e11 −0.0155337
\(571\) 4.91124e13 2.83551e13i 0.809116 0.467143i −0.0375329 0.999295i \(-0.511950\pi\)
0.846649 + 0.532152i \(0.178617\pi\)
\(572\) 3.23062e13 5.59560e13i 0.527601 0.913833i
\(573\) −9.70121e12 + 1.68030e13i −0.157055 + 0.272028i
\(574\) −7.02441e12 + 1.21666e13i −0.112733 + 0.195259i
\(575\) −6.93293e13 −1.10301
\(576\) −2.53147e13 + 4.38464e13i −0.399264 + 0.691546i
\(577\) 3.42140e13 + 1.97535e13i 0.534965 + 0.308862i 0.743036 0.669252i \(-0.233385\pi\)
−0.208071 + 0.978114i \(0.566718\pi\)
\(578\) 8.67205e12 5.00681e12i 0.134426 0.0776108i
\(579\) −1.53055e13 + 8.83662e12i −0.235209 + 0.135798i
\(580\) −1.04076e13 −0.158566
\(581\) 8.71620e12i 0.131658i
\(582\) −2.13360e12 3.69550e12i −0.0319519 0.0553424i
\(583\) −7.23762e12 1.25359e13i −0.107462 0.186129i
\(584\) −1.52341e13 + 2.63863e13i −0.224261 + 0.388431i
\(585\) −3.01182e13 1.73888e13i −0.439593 0.253799i
\(586\) 4.59327e12i 0.0664713i
\(587\) −4.00402e13 2.31172e13i −0.574520 0.331700i 0.184432 0.982845i \(-0.440955\pi\)
−0.758953 + 0.651146i \(0.774289\pi\)
\(588\) 1.34394e13 + 7.75924e12i 0.191202 + 0.110391i
\(589\) −1.55662e13 8.98717e12i −0.219587 0.126779i
\(590\) −1.33998e12 2.32091e12i −0.0187429 0.0324637i
\(591\) 8.83317e12i 0.122512i
\(592\) −5.20294e13 + 3.00392e13i −0.715550 + 0.413123i
\(593\) −5.30450e13 3.06255e13i −0.723387 0.417648i 0.0926110 0.995702i \(-0.470479\pi\)
−0.815998 + 0.578055i \(0.803812\pi\)
\(594\) 3.75016e12 0.0507128
\(595\) −2.78279e13 + 4.81994e13i −0.373161 + 0.646333i
\(596\) 6.20325e13 3.58145e13i 0.824875 0.476242i
\(597\) −5.83596e12 1.01082e13i −0.0769557 0.133291i
\(598\) 2.36608e13i 0.309403i
\(599\) 8.81691e12 + 1.52713e13i 0.114336 + 0.198035i 0.917514 0.397703i \(-0.130193\pi\)
−0.803178 + 0.595739i \(0.796859\pi\)
\(600\) −4.51559e12 −0.0580708
\(601\) 8.01006e13i 1.02156i 0.859712 + 0.510779i \(0.170643\pi\)
−0.859712 + 0.510779i \(0.829357\pi\)
\(602\) −7.08740e12 1.81720e13i −0.0896406 0.229837i
\(603\) 1.11210e14 1.39494
\(604\) 6.00333e13i 0.746805i
\(605\) −1.10093e13 + 6.35624e12i −0.135826 + 0.0784193i
\(606\) −2.94726e12 −0.0360625
\(607\) −8.18150e13 + 4.72359e13i −0.992863 + 0.573230i −0.906129 0.423002i \(-0.860976\pi\)
−0.0867340 + 0.996232i \(0.527643\pi\)
\(608\) −2.49908e13 4.32854e13i −0.300789 0.520983i
\(609\) 9.42572e12 + 5.44194e12i 0.112520 + 0.0649632i
\(610\) 9.90536e11i 0.0117279i
\(611\) 7.34532e13 1.27225e14i 0.862591 1.49405i
\(612\) 5.53944e13 + 9.59459e13i 0.645221 + 1.11756i
\(613\) 6.25955e13 0.723170 0.361585 0.932339i \(-0.382236\pi\)
0.361585 + 0.932339i \(0.382236\pi\)
\(614\) −1.81763e12 + 1.04941e12i −0.0208288 + 0.0120255i
\(615\) −2.99633e12 + 5.18980e12i −0.0340577 + 0.0589896i
\(616\) −1.63632e13 + 2.83420e13i −0.184487 + 0.319541i
\(617\) −6.74559e13 + 1.16837e14i −0.754387 + 1.30664i 0.191292 + 0.981533i \(0.438732\pi\)
−0.945679 + 0.325103i \(0.894601\pi\)
\(618\) 3.40507e11 0.00377731
\(619\) −2.66055e13 + 4.60821e13i −0.292764 + 0.507083i −0.974462 0.224551i \(-0.927908\pi\)
0.681698 + 0.731634i \(0.261242\pi\)
\(620\) 5.86099e12 + 3.38385e12i 0.0639754 + 0.0369362i
\(621\) −4.03746e13 + 2.33103e13i −0.437169 + 0.252400i
\(622\) −1.04172e13 + 6.01439e12i −0.111892 + 0.0646010i
\(623\) −8.30573e13 −0.884988
\(624\) 2.49970e13i 0.264219i
\(625\) −2.90375e13 5.02945e13i −0.304481 0.527376i
\(626\) −8.22118e12 1.42395e13i −0.0855190 0.148123i
\(627\) 9.13445e12 1.58213e13i 0.0942637 0.163270i
\(628\) 5.48341e13 + 3.16585e13i 0.561374 + 0.324110i
\(629\) 1.23121e14i 1.25049i
\(630\) 7.51680e12 + 4.33983e12i 0.0757408 + 0.0437290i
\(631\) 4.02151e13 + 2.32182e13i 0.402015 + 0.232103i 0.687353 0.726323i \(-0.258773\pi\)
−0.285338 + 0.958427i \(0.592106\pi\)
\(632\) 2.46203e13 + 1.42146e13i 0.244179 + 0.140977i
\(633\) −1.24949e13 2.16419e13i −0.122946 0.212949i
\(634\) 2.72346e13i 0.265873i
\(635\) 9.26930e12 5.35163e12i 0.0897797 0.0518344i
\(636\) 5.00151e12 + 2.88762e12i 0.0480635 + 0.0277495i
\(637\) −1.69235e14 −1.61359
\(638\) −2.99620e12 + 5.18958e12i −0.0283445 + 0.0490940i
\(639\) −1.07984e13 + 6.23444e12i −0.101357 + 0.0585185i
\(640\) 1.24802e13 + 2.16164e13i 0.116231 + 0.201318i
\(641\) 8.19028e13i 0.756848i −0.925632 0.378424i \(-0.876466\pi\)
0.925632 0.378424i \(-0.123534\pi\)
\(642\) 2.13702e12 + 3.70142e12i 0.0195944 + 0.0339386i
\(643\) 7.10457e13 0.646373 0.323186 0.946335i \(-0.395246\pi\)
0.323186 + 0.946335i \(0.395246\pi\)
\(644\) 2.00469e14i 1.80974i
\(645\) −3.02320e12 7.75145e12i −0.0270813 0.0694360i
\(646\) −3.24702e13 −0.288618
\(647\) 3.67794e13i 0.324401i −0.986758 0.162201i \(-0.948141\pi\)
0.986758 0.162201i \(-0.0518592\pi\)
\(648\) 2.90246e13 1.67573e13i 0.254033 0.146666i
\(649\) 5.23831e13 0.454955
\(650\) 2.10139e13 1.21324e13i 0.181109 0.104563i
\(651\) −3.53870e12 6.12921e12i −0.0302649 0.0524203i
\(652\) 9.53390e13 + 5.50440e13i 0.809157 + 0.467167i
\(653\) 5.80141e13i 0.488616i 0.969698 + 0.244308i \(0.0785608\pi\)
−0.969698 + 0.244308i \(0.921439\pi\)
\(654\) 1.40651e10 2.43615e10i 0.000117559 0.000203618i
\(655\) −2.07576e13 3.59532e13i −0.172175 0.298216i
\(656\) −1.01588e14 −0.836224
\(657\) −1.36787e14 + 7.89741e13i −1.11742 + 0.645146i
\(658\) −1.83322e13 + 3.17523e13i −0.148622 + 0.257422i
\(659\) 8.68215e13 1.50379e14i 0.698554 1.20993i −0.270414 0.962744i \(-0.587160\pi\)
0.968968 0.247187i \(-0.0795062\pi\)
\(660\) −3.43930e12 + 5.95704e12i −0.0274631 + 0.0475675i
\(661\) −1.64113e14 −1.30058 −0.650289 0.759687i \(-0.725352\pi\)
−0.650289 + 0.759687i \(0.725352\pi\)
\(662\) 2.39202e12 4.14310e12i 0.0188137 0.0325864i
\(663\) 4.43643e13 + 2.56137e13i 0.346311 + 0.199943i
\(664\) −3.36512e12 + 1.94285e12i −0.0260711 + 0.0150522i
\(665\) 7.47887e13 4.31793e13i 0.575079 0.332022i
\(666\) 1.92011e13 0.146539
\(667\) 7.44953e13i 0.564286i
\(668\) 7.19409e13 + 1.24605e14i 0.540871 + 0.936816i
\(669\) 2.39531e13 + 4.14879e13i 0.178744 + 0.309593i
\(670\) 6.13605e12 1.06280e13i 0.0454480 0.0787183i
\(671\) −1.67674e13 9.68065e12i −0.123269 0.0711692i
\(672\) 1.96803e13i 0.143610i
\(673\) −1.00151e14 5.78220e13i −0.725402 0.418811i 0.0913359 0.995820i \(-0.470886\pi\)
−0.816738 + 0.577009i \(0.804220\pi\)
\(674\) −9.29360e12 5.36566e12i −0.0668166 0.0385766i
\(675\) −4.14050e13 2.39052e13i −0.295484 0.170598i
\(676\) −7.19993e13 1.24706e14i −0.510029 0.883396i
\(677\) 3.20311e13i 0.225231i 0.993639 + 0.112615i \(0.0359228\pi\)
−0.993639 + 0.112615i \(0.964077\pi\)
\(678\) −7.00433e12 + 4.04395e12i −0.0488898 + 0.0282265i
\(679\) 3.41452e14 + 1.97137e14i 2.36582 + 1.36590i
\(680\) 2.48115e13 0.170651
\(681\) −9.04202e12 + 1.56612e13i −0.0617348 + 0.106928i
\(682\) 3.37460e12 1.94833e12i 0.0228718 0.0132050i
\(683\) 1.33166e14 + 2.30650e14i 0.895961 + 1.55185i 0.832611 + 0.553858i \(0.186845\pi\)
0.0633494 + 0.997991i \(0.479822\pi\)
\(684\) 1.71906e14i 1.14818i
\(685\) −4.95276e13 8.57843e13i −0.328394 0.568794i
\(686\) 4.75795e12 0.0313184
\(687\) 3.41355e13i 0.223061i
\(688\) 8.81734e13 1.10085e14i 0.571999 0.714142i
\(689\) −6.29813e13 −0.405616
\(690\) 2.51892e12i 0.0161053i
\(691\) 1.17244e14 6.76911e13i 0.744221 0.429676i −0.0793813 0.996844i \(-0.525294\pi\)
0.823602 + 0.567168i \(0.191961\pi\)
\(692\) 2.04637e14 1.28960
\(693\) −1.46925e14 + 8.48274e13i −0.919244 + 0.530726i
\(694\) −6.31328e12 1.09349e13i −0.0392155 0.0679232i
\(695\) −3.65770e12 2.11178e12i −0.0225572 0.0130234i
\(696\) 4.85206e12i 0.0297084i
\(697\) −1.04094e14 + 1.80297e14i −0.632796 + 1.09604i
\(698\) −1.93743e13 3.35573e13i −0.116936 0.202540i
\(699\) 2.23980e13 0.134222
\(700\) 1.78042e14 1.02793e14i 1.05933 0.611605i
\(701\) 9.81283e13 1.69963e14i 0.579701 1.00407i −0.415812 0.909451i \(-0.636503\pi\)
0.995513 0.0946216i \(-0.0301641\pi\)
\(702\) 8.15841e12 1.41308e13i 0.0478542 0.0828859i
\(703\) 9.55209e13 1.65447e14i 0.556316 0.963568i
\(704\) −1.09205e14 −0.631511
\(705\) −7.81978e12 + 1.35442e13i −0.0449002 + 0.0777695i
\(706\) −1.31304e13 7.58084e12i −0.0748608 0.0432209i
\(707\) 2.35834e14 1.36159e14i 1.33509 0.770812i
\(708\) −1.80995e13 + 1.04498e13i −0.101742 + 0.0587408i
\(709\) −2.03110e13 −0.113371 −0.0566853 0.998392i \(-0.518053\pi\)
−0.0566853 + 0.998392i \(0.518053\pi\)
\(710\) 1.37596e12i 0.00762628i
\(711\) 7.36886e13 + 1.27632e14i 0.405558 + 0.702446i
\(712\) 1.85136e13 + 3.20664e13i 0.101179 + 0.175247i
\(713\) −2.42208e13 + 4.19517e13i −0.131444 + 0.227668i
\(714\) −1.10723e13 6.39258e12i −0.0596686 0.0344497i
\(715\) 7.50137e13i 0.401430i
\(716\) 1.21924e14 + 7.03926e13i 0.647921 + 0.374078i
\(717\) −3.24256e13 1.87209e13i −0.171116 0.0987941i
\(718\) −3.28124e13 1.89443e13i −0.171956 0.0992786i
\(719\) −1.72683e14 2.99097e14i −0.898683 1.55656i −0.829180 0.558982i \(-0.811192\pi\)
−0.0695031 0.997582i \(-0.522141\pi\)
\(720\) 6.27631e13i 0.324371i
\(721\) −2.72467e13 + 1.57309e13i −0.139842 + 0.0807377i
\(722\) 1.48913e13 + 8.59748e12i 0.0759007 + 0.0438213i
\(723\) 4.79439e13 0.242684
\(724\) 2.14708e13 3.71885e13i 0.107933 0.186946i
\(725\) 6.61613e13 3.81983e13i 0.330304 0.190701i
\(726\) −1.46014e12 2.52904e12i −0.00723957 0.0125393i
\(727\) 7.92403e13i 0.390188i 0.980785 + 0.195094i \(0.0625012\pi\)
−0.980785 + 0.195094i \(0.937499\pi\)
\(728\) 7.11958e13 + 1.23315e14i 0.348175 + 0.603057i
\(729\) 1.57332e14 0.764153
\(730\) 1.74298e13i 0.0840771i
\(731\) −1.05028e14 2.69290e14i −0.503174 1.29013i
\(732\) 7.72466e12 0.0367556
\(733\) 3.22963e14i 1.52627i 0.646236 + 0.763137i \(0.276342\pi\)
−0.646236 + 0.763137i \(0.723658\pi\)
\(734\) 5.32880e13 3.07659e13i 0.250120 0.144407i
\(735\) 1.80166e13 0.0839918
\(736\) −1.16656e14 + 6.73513e13i −0.540154 + 0.311858i
\(737\) 1.19937e14 + 2.07737e14i 0.551589 + 0.955381i
\(738\) 2.81177e13 + 1.62338e13i 0.128439 + 0.0741545i
\(739\) 4.43717e13i 0.201319i −0.994921 0.100659i \(-0.967905\pi\)
0.994921 0.100659i \(-0.0320952\pi\)
\(740\) −3.59655e13 + 6.22940e13i −0.162079 + 0.280729i
\(741\) −3.97436e13 6.88380e13i −0.177900 0.308132i
\(742\) 1.57186e13 0.0698868
\(743\) −2.27636e14 + 1.31426e14i −1.00530 + 0.580412i −0.909813 0.415018i \(-0.863775\pi\)
−0.0954900 + 0.995430i \(0.530442\pi\)
\(744\) −1.57756e12 + 2.73242e12i −0.00692024 + 0.0119862i
\(745\) 4.15799e13 7.20185e13i 0.181176 0.313807i
\(746\) −3.26049e13 + 5.64733e13i −0.141120 + 0.244427i
\(747\) −2.01436e13 −0.0866032
\(748\) −1.19483e14 + 2.06951e14i −0.510269 + 0.883812i
\(749\) −3.42000e14 1.97454e14i −1.45083 0.837637i
\(750\) −4.82807e12 + 2.78749e12i −0.0203454 + 0.0117464i
\(751\) −2.63033e14 + 1.51862e14i −1.10106 + 0.635697i −0.936499 0.350670i \(-0.885954\pi\)
−0.164560 + 0.986367i \(0.552621\pi\)
\(752\) −2.65122e14 −1.10244
\(753\) 7.56730e13i 0.312584i
\(754\) 1.30364e13 + 2.25797e13i 0.0534934 + 0.0926533i
\(755\) −3.48487e13 6.03597e13i −0.142053 0.246044i
\(756\) 6.91229e13 1.19724e14i 0.279906 0.484812i
\(757\) 1.71427e14 + 9.89734e13i 0.689604 + 0.398143i 0.803464 0.595354i \(-0.202988\pi\)
−0.113860 + 0.993497i \(0.536321\pi\)
\(758\) 4.01865e13i 0.160596i
\(759\) −4.26391e13 2.46177e13i −0.169278 0.0977325i
\(760\) −3.33409e13 1.92494e13i −0.131495 0.0759188i
\(761\) −1.50473e14