Properties

Label 43.11.d.a.37.32
Level 43
Weight 11
Character 43.37
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 37.32
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.5

$q$-expansion

\(f(q)\) \(=\) \(q+50.9732i q^{2} +(10.9453 + 6.31925i) q^{3} -1574.27 q^{4} +(3081.80 + 1779.28i) q^{5} +(-322.113 + 557.915i) q^{6} +(5344.72 - 3085.78i) q^{7} -28049.1i q^{8} +(-29444.6 - 50999.6i) q^{9} +O(q^{10})\) \(q+50.9732i q^{2} +(10.9453 + 6.31925i) q^{3} -1574.27 q^{4} +(3081.80 + 1779.28i) q^{5} +(-322.113 + 557.915i) q^{6} +(5344.72 - 3085.78i) q^{7} -28049.1i q^{8} +(-29444.6 - 50999.6i) q^{9} +(-90695.7 + 157089. i) q^{10} -187226. q^{11} +(-17230.8 - 9948.21i) q^{12} +(-115284. - 199678. i) q^{13} +(157292. + 272438. i) q^{14} +(22487.4 + 38949.4i) q^{15} -182300. q^{16} +(-668518. - 1.15791e6i) q^{17} +(2.59961e6 - 1.50089e6i) q^{18} +(-2.62263e6 - 1.51418e6i) q^{19} +(-4.85159e6 - 2.80107e6i) q^{20} +77999.2 q^{21} -9.54354e6i q^{22} +(-70880.8 + 122769. i) q^{23} +(177249. - 307005. i) q^{24} +(1.44886e6 + 2.50950e6i) q^{25} +(1.01783e7 - 5.87642e6i) q^{26} -1.49056e6i q^{27} +(-8.41404e6 + 4.85785e6i) q^{28} +(-5.31301e6 + 3.06747e6i) q^{29} +(-1.98537e6 + 1.14626e6i) q^{30} +(-1.91289e7 + 3.31322e7i) q^{31} -3.80147e7i q^{32} +(-2.04924e6 - 1.18313e6i) q^{33} +(5.90223e7 - 3.40765e7i) q^{34} +2.19618e7 q^{35} +(4.63538e7 + 8.02872e7i) q^{36} +(1.03746e8 + 5.98981e7i) q^{37} +(7.71826e7 - 1.33684e8i) q^{38} -2.91404e6i q^{39} +(4.99072e7 - 8.64418e7i) q^{40} -2.68172e7 q^{41} +3.97587e6i q^{42} +(1.01261e8 - 1.06572e8i) q^{43} +2.94745e8 q^{44} -2.09561e8i q^{45} +(-6.25794e6 - 3.61302e6i) q^{46} -2.46853e8 q^{47} +(-1.99532e6 - 1.15200e6i) q^{48} +(-1.22194e8 + 2.11646e8i) q^{49} +(-1.27917e8 + 7.38531e7i) q^{50} -1.68981e7i q^{51} +(1.81489e8 + 3.14348e8i) q^{52} +(5.63408e7 - 9.75852e7i) q^{53} +7.59788e7 q^{54} +(-5.76995e8 - 3.33128e8i) q^{55} +(-8.65533e7 - 1.49915e8i) q^{56} +(-1.91369e7 - 3.31462e7i) q^{57} +(-1.56359e8 - 2.70821e8i) q^{58} -2.95762e8 q^{59} +(-3.54013e7 - 6.13168e7i) q^{60} +(1.33103e8 - 7.68468e7i) q^{61} +(-1.68885e9 - 9.75060e8i) q^{62} +(-3.14747e8 - 1.81719e8i) q^{63} +1.75106e9 q^{64} -8.20493e8i q^{65} +(6.03080e7 - 1.04456e8i) q^{66} +(9.63241e8 - 1.66838e9i) q^{67} +(1.05243e9 + 1.82286e9i) q^{68} +(-1.55162e6 + 895826. i) q^{69} +1.11947e9i q^{70} +(-9.64051e8 + 5.56595e8i) q^{71} +(-1.43049e9 + 8.25896e8i) q^{72} +(-3.47518e8 + 2.00639e8i) q^{73} +(-3.05320e9 + 5.28829e9i) q^{74} +3.66228e7i q^{75} +(4.12874e9 + 2.38373e9i) q^{76} +(-1.00067e9 + 5.77739e8i) q^{77} +1.48538e8 q^{78} +(2.98143e8 + 5.16399e8i) q^{79} +(-5.61813e8 - 3.24363e8i) q^{80} +(-1.72926e9 + 2.99516e9i) q^{81} -1.36696e9i q^{82} +(-2.97233e9 + 5.14823e9i) q^{83} -1.22792e8 q^{84} -4.75792e9i q^{85} +(5.43234e9 + 5.16161e9i) q^{86} -7.75364e7 q^{87} +5.25153e9i q^{88} +(-5.88764e9 - 3.39923e9i) q^{89} +1.06820e10 q^{90} +(-1.23233e9 - 7.11484e8i) q^{91} +(1.11586e8 - 1.93272e8i) q^{92} +(-4.18741e8 + 2.41760e8i) q^{93} -1.25829e10i q^{94} +(-5.38830e9 - 9.33280e9i) q^{95} +(2.40224e8 - 4.16081e8i) q^{96} +8.08638e9 q^{97} +(-1.07883e10 - 6.22860e9i) q^{98} +(5.51281e9 + 9.54847e9i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 50.9732i 1.59291i 0.604695 + 0.796457i \(0.293295\pi\)
−0.604695 + 0.796457i \(0.706705\pi\)
\(3\) 10.9453 + 6.31925i 0.0450422 + 0.0260051i 0.522352 0.852730i \(-0.325055\pi\)
−0.477310 + 0.878735i \(0.658388\pi\)
\(4\) −1574.27 −1.53737
\(5\) 3081.80 + 1779.28i 0.986177 + 0.569370i 0.904129 0.427259i \(-0.140521\pi\)
0.0820476 + 0.996628i \(0.473854\pi\)
\(6\) −322.113 + 557.915i −0.0414239 + 0.0717484i
\(7\) 5344.72 3085.78i 0.318006 0.183601i −0.332498 0.943104i \(-0.607891\pi\)
0.650503 + 0.759503i \(0.274558\pi\)
\(8\) 28049.1i 0.855991i
\(9\) −29444.6 50999.6i −0.498647 0.863683i
\(10\) −90695.7 + 157089.i −0.906957 + 1.57089i
\(11\) −187226. −1.16253 −0.581264 0.813715i \(-0.697442\pi\)
−0.581264 + 0.813715i \(0.697442\pi\)
\(12\) −17230.8 9948.21i −0.0692467 0.0399796i
\(13\) −115284. 199678.i −0.310494 0.537792i 0.667975 0.744184i \(-0.267161\pi\)
−0.978469 + 0.206392i \(0.933828\pi\)
\(14\) 157292. + 272438.i 0.292460 + 0.506556i
\(15\) 22487.4 + 38949.4i 0.0296131 + 0.0512913i
\(16\) −182300. −0.173855
\(17\) −668518. 1.15791e6i −0.470835 0.815509i 0.528609 0.848865i \(-0.322714\pi\)
−0.999444 + 0.0333560i \(0.989380\pi\)
\(18\) 2.59961e6 1.50089e6i 1.37577 0.794302i
\(19\) −2.62263e6 1.51418e6i −1.05918 0.611518i −0.133975 0.990985i \(-0.542774\pi\)
−0.925205 + 0.379467i \(0.876107\pi\)
\(20\) −4.85159e6 2.80107e6i −1.51612 0.875334i
\(21\) 77999.2 0.0190982
\(22\) 9.54354e6i 1.85181i
\(23\) −70880.8 + 122769.i −0.0110126 + 0.0190744i −0.871479 0.490433i \(-0.836839\pi\)
0.860467 + 0.509507i \(0.170172\pi\)
\(24\) 177249. 307005.i 0.0222602 0.0385557i
\(25\) 1.44886e6 + 2.50950e6i 0.148363 + 0.256973i
\(26\) 1.01783e7 5.87642e6i 0.856657 0.494591i
\(27\) 1.49056e6i 0.103880i
\(28\) −8.41404e6 + 4.85785e6i −0.488894 + 0.282263i
\(29\) −5.31301e6 + 3.06747e6i −0.259030 + 0.149551i −0.623892 0.781510i \(-0.714450\pi\)
0.364862 + 0.931062i \(0.381116\pi\)
\(30\) −1.98537e6 + 1.14626e6i −0.0817027 + 0.0471711i
\(31\) −1.91289e7 + 3.31322e7i −0.668161 + 1.15729i 0.310257 + 0.950653i \(0.399585\pi\)
−0.978418 + 0.206635i \(0.933749\pi\)
\(32\) 3.80147e7i 1.13293i
\(33\) −2.04924e6 1.18313e6i −0.0523629 0.0302317i
\(34\) 5.90223e7 3.40765e7i 1.29904 0.749999i
\(35\) 2.19618e7 0.418147
\(36\) 4.63538e7 + 8.02872e7i 0.766608 + 1.32780i
\(37\) 1.03746e8 + 5.98981e7i 1.49611 + 0.863782i 0.999990 0.00446952i \(-0.00142270\pi\)
0.496124 + 0.868252i \(0.334756\pi\)
\(38\) 7.71826e7 1.33684e8i 0.974095 1.68718i
\(39\) 2.91404e6i 0.0322978i
\(40\) 4.99072e7 8.64418e7i 0.487375 0.844158i
\(41\) −2.68172e7 −0.231470 −0.115735 0.993280i \(-0.536922\pi\)
−0.115735 + 0.993280i \(0.536922\pi\)
\(42\) 3.97587e6i 0.0304219i
\(43\) 1.01261e8 1.06572e8i 0.688812 0.724940i
\(44\) 2.94745e8 1.78724
\(45\) 2.09561e8i 1.13566i
\(46\) −6.25794e6 3.61302e6i −0.0303838 0.0175421i
\(47\) −2.46853e8 −1.07634 −0.538169 0.842837i \(-0.680884\pi\)
−0.538169 + 0.842837i \(0.680884\pi\)
\(48\) −1.99532e6 1.15200e6i −0.00783081 0.00452112i
\(49\) −1.22194e8 + 2.11646e8i −0.432582 + 0.749253i
\(50\) −1.27917e8 + 7.38531e7i −0.409336 + 0.236330i
\(51\) 1.68981e7i 0.0489765i
\(52\) 1.81489e8 + 3.14348e8i 0.477346 + 0.826788i
\(53\) 5.63408e7 9.75852e7i 0.134724 0.233348i −0.790768 0.612116i \(-0.790319\pi\)
0.925492 + 0.378767i \(0.123652\pi\)
\(54\) 7.59788e7 0.165472
\(55\) −5.76995e8 3.33128e8i −1.14646 0.661908i
\(56\) −8.65533e7 1.49915e8i −0.157160 0.272210i
\(57\) −1.91369e7 3.31462e7i −0.0318052 0.0550882i
\(58\) −1.56359e8 2.70821e8i −0.238222 0.412613i
\(59\) −2.95762e8 −0.413697 −0.206849 0.978373i \(-0.566321\pi\)
−0.206849 + 0.978373i \(0.566321\pi\)
\(60\) −3.54013e7 6.13168e7i −0.0455264 0.0788540i
\(61\) 1.33103e8 7.68468e7i 0.157593 0.0909864i −0.419130 0.907926i \(-0.637665\pi\)
0.576723 + 0.816940i \(0.304331\pi\)
\(62\) −1.68885e9 9.75060e8i −1.84346 1.06432i
\(63\) −3.14747e8 1.81719e8i −0.317145 0.183104i
\(64\) 1.75106e9 1.63080
\(65\) 8.20493e8i 0.707144i
\(66\) 6.03080e7 1.04456e8i 0.0481565 0.0834095i
\(67\) 9.63241e8 1.66838e9i 0.713446 1.23572i −0.250110 0.968217i \(-0.580467\pi\)
0.963556 0.267507i \(-0.0861999\pi\)
\(68\) 1.05243e9 + 1.82286e9i 0.723849 + 1.25374i
\(69\) −1.55162e6 + 895826.i −0.000992062 + 0.000572768i
\(70\) 1.11947e9i 0.666071i
\(71\) −9.64051e8 + 5.56595e8i −0.534328 + 0.308495i −0.742777 0.669539i \(-0.766492\pi\)
0.208449 + 0.978033i \(0.433158\pi\)
\(72\) −1.43049e9 + 8.25896e8i −0.739304 + 0.426838i
\(73\) −3.47518e8 + 2.00639e8i −0.167634 + 0.0967837i −0.581470 0.813568i \(-0.697522\pi\)
0.413836 + 0.910352i \(0.364189\pi\)
\(74\) −3.05320e9 + 5.28829e9i −1.37593 + 2.38318i
\(75\) 3.66228e7i 0.0154328i
\(76\) 4.12874e9 + 2.38373e9i 1.62836 + 0.940132i
\(77\) −1.00067e9 + 5.77739e8i −0.369691 + 0.213441i
\(78\) 1.48538e8 0.0514476
\(79\) 2.98143e8 + 5.16399e8i 0.0968923 + 0.167822i 0.910397 0.413736i \(-0.135776\pi\)
−0.813504 + 0.581559i \(0.802443\pi\)
\(80\) −5.61813e8 3.24363e8i −0.171452 0.0989877i
\(81\) −1.72926e9 + 2.99516e9i −0.495946 + 0.859004i
\(82\) 1.36696e9i 0.368712i
\(83\) −2.97233e9 + 5.14823e9i −0.754582 + 1.30697i 0.191000 + 0.981590i \(0.438827\pi\)
−0.945582 + 0.325384i \(0.894506\pi\)
\(84\) −1.22792e8 −0.0293611
\(85\) 4.75792e9i 1.07232i
\(86\) 5.43234e9 + 5.16161e9i 1.15477 + 1.09722i
\(87\) −7.75364e7 −0.0155564
\(88\) 5.25153e9i 0.995114i
\(89\) −5.88764e9 3.39923e9i −1.05437 0.608738i −0.130497 0.991449i \(-0.541657\pi\)
−0.923868 + 0.382711i \(0.874991\pi\)
\(90\) 1.06820e10 1.80901
\(91\) −1.23233e9 7.11484e8i −0.197478 0.114014i
\(92\) 1.11586e8 1.93272e8i 0.0169305 0.0293244i
\(93\) −4.18741e8 + 2.41760e8i −0.0601909 + 0.0347512i
\(94\) 1.25829e10i 1.71451i
\(95\) −5.38830e9 9.33280e9i −0.696359 1.20613i
\(96\) 2.40224e8 4.16081e8i 0.0294619 0.0510295i
\(97\) 8.08638e9 0.941663 0.470832 0.882223i \(-0.343954\pi\)
0.470832 + 0.882223i \(0.343954\pi\)
\(98\) −1.07883e10 6.22860e9i −1.19350 0.689065i
\(99\) 5.51281e9 + 9.54847e9i 0.579692 + 1.00406i
\(100\) −2.28090e9 3.95063e9i −0.228090 0.395063i
\(101\) −7.50683e9 1.30022e10i −0.714249 1.23712i −0.963248 0.268612i \(-0.913435\pi\)
0.249000 0.968504i \(-0.419898\pi\)
\(102\) 8.61352e8 0.0780153
\(103\) −6.99734e8 1.21197e9i −0.0603597 0.104546i 0.834267 0.551361i \(-0.185891\pi\)
−0.894626 + 0.446815i \(0.852558\pi\)
\(104\) −5.60080e9 + 3.23362e9i −0.460345 + 0.265780i
\(105\) 2.40378e8 + 1.38782e8i 0.0188342 + 0.0108740i
\(106\) 4.97423e9 + 2.87187e9i 0.371704 + 0.214603i
\(107\) −5.80410e9 −0.413825 −0.206912 0.978359i \(-0.566341\pi\)
−0.206912 + 0.978359i \(0.566341\pi\)
\(108\) 2.34655e9i 0.159702i
\(109\) −8.85090e9 + 1.53302e10i −0.575248 + 0.996358i 0.420767 + 0.907169i \(0.361761\pi\)
−0.996015 + 0.0891893i \(0.971572\pi\)
\(110\) 1.69806e10 2.94113e10i 1.05436 1.82621i
\(111\) 7.57021e8 + 1.31120e9i 0.0449255 + 0.0778133i
\(112\) −9.74343e8 + 5.62537e8i −0.0552868 + 0.0319199i
\(113\) 4.57982e9i 0.248574i 0.992246 + 0.124287i \(0.0396644\pi\)
−0.992246 + 0.124287i \(0.960336\pi\)
\(114\) 1.68957e9 9.75472e8i 0.0877508 0.0506630i
\(115\) −4.36881e8 + 2.52233e8i −0.0217207 + 0.0125405i
\(116\) 8.36412e9 4.82903e9i 0.398227 0.229916i
\(117\) −6.78902e9 + 1.17589e10i −0.309655 + 0.536337i
\(118\) 1.50760e10i 0.658984i
\(119\) −7.14608e9 4.12579e9i −0.299456 0.172891i
\(120\) 1.09249e9 6.30752e8i 0.0439049 0.0253485i
\(121\) 9.11631e9 0.351473
\(122\) 3.91713e9 + 6.78467e9i 0.144933 + 0.251032i
\(123\) −2.93522e8 1.69465e8i −0.0104259 0.00601941i
\(124\) 3.01140e10 5.21590e10i 1.02721 1.77918i
\(125\) 2.44398e10i 0.800845i
\(126\) 9.26281e9 1.60437e10i 0.291669 0.505185i
\(127\) 3.45071e10 1.04446 0.522228 0.852806i \(-0.325101\pi\)
0.522228 + 0.852806i \(0.325101\pi\)
\(128\) 5.03300e10i 1.46480i
\(129\) 1.78179e9 5.26568e8i 0.0498778 0.0147403i
\(130\) 4.18232e10 1.12642
\(131\) 6.16172e10i 1.59715i 0.601896 + 0.798575i \(0.294412\pi\)
−0.601896 + 0.798575i \(0.705588\pi\)
\(132\) 3.22606e9 + 1.86257e9i 0.0805013 + 0.0464775i
\(133\) −1.86897e10 −0.449100
\(134\) 8.50429e10 + 4.90995e10i 1.96840 + 1.13646i
\(135\) 2.65213e9 4.59362e9i 0.0591460 0.102444i
\(136\) −3.24782e10 + 1.87513e10i −0.698068 + 0.403030i
\(137\) 4.38250e10i 0.908069i −0.890984 0.454035i \(-0.849984\pi\)
0.890984 0.454035i \(-0.150016\pi\)
\(138\) −4.56632e7 7.90909e7i −0.000912369 0.00158027i
\(139\) −9.44713e9 + 1.63629e10i −0.182065 + 0.315345i −0.942583 0.333971i \(-0.891611\pi\)
0.760519 + 0.649316i \(0.224945\pi\)
\(140\) −3.45739e10 −0.642848
\(141\) −2.70187e9 1.55992e9i −0.0484807 0.0279903i
\(142\) −2.83714e10 4.91408e10i −0.491405 0.851139i
\(143\) 2.15843e10 + 3.73851e10i 0.360959 + 0.625199i
\(144\) 5.36776e9 + 9.29723e9i 0.0866923 + 0.150155i
\(145\) −2.18315e10 −0.340600
\(146\) −1.02272e10 1.77141e10i −0.154168 0.267027i
\(147\) −2.67488e9 + 1.54434e9i −0.0389689 + 0.0224987i
\(148\) −1.63325e11 9.42958e10i −2.30009 1.32796i
\(149\) 8.10778e10 + 4.68103e10i 1.10400 + 0.637397i 0.937270 0.348605i \(-0.113344\pi\)
0.166734 + 0.986002i \(0.446678\pi\)
\(150\) −1.86679e9 −0.0245832
\(151\) 1.03103e11i 1.31337i 0.754166 + 0.656684i \(0.228041\pi\)
−0.754166 + 0.656684i \(0.771959\pi\)
\(152\) −4.24714e10 + 7.35625e10i −0.523454 + 0.906648i
\(153\) −3.93685e10 + 6.81883e10i −0.469561 + 0.813303i
\(154\) −2.94492e10 5.10075e10i −0.339993 0.588885i
\(155\) −1.17903e11 + 6.80712e10i −1.31785 + 0.760861i
\(156\) 4.58749e9i 0.0496538i
\(157\) 4.65083e10 2.68516e10i 0.487565 0.281496i −0.235999 0.971753i \(-0.575836\pi\)
0.723564 + 0.690258i \(0.242503\pi\)
\(158\) −2.63225e10 + 1.51973e10i −0.267327 + 0.154341i
\(159\) 1.23333e9 7.12063e8i 0.0121365 0.00700701i
\(160\) 6.76388e10 1.17154e11i 0.645054 1.11727i
\(161\) 8.74889e8i 0.00808767i
\(162\) −1.52673e11 8.81458e10i −1.36832 0.789999i
\(163\) −4.80839e10 + 2.77613e10i −0.417890 + 0.241269i −0.694174 0.719807i \(-0.744230\pi\)
0.276284 + 0.961076i \(0.410897\pi\)
\(164\) 4.22176e10 0.355856
\(165\) −4.21024e9 7.29235e9i −0.0344260 0.0596276i
\(166\) −2.62422e11 1.51509e11i −2.08190 1.20198i
\(167\) 2.81131e10 4.86934e10i 0.216435 0.374876i −0.737281 0.675587i \(-0.763890\pi\)
0.953715 + 0.300711i \(0.0972238\pi\)
\(168\) 2.18781e9i 0.0163479i
\(169\) 4.23483e10 7.33493e10i 0.307186 0.532062i
\(170\) 2.42527e11 1.70811
\(171\) 1.78338e11i 1.21973i
\(172\) −1.59412e11 + 1.67774e11i −1.05896 + 1.11450i
\(173\) 1.20939e9 0.00780434 0.00390217 0.999992i \(-0.498758\pi\)
0.00390217 + 0.999992i \(0.498758\pi\)
\(174\) 3.95228e9i 0.0247800i
\(175\) 1.54875e10 + 8.94172e9i 0.0943608 + 0.0544792i
\(176\) 3.41314e10 0.202111
\(177\) −3.23719e9 1.86899e9i −0.0186338 0.0107583i
\(178\) 1.73270e11 3.00112e11i 0.969667 1.67951i
\(179\) −8.91375e10 + 5.14636e10i −0.485060 + 0.280049i −0.722523 0.691347i \(-0.757018\pi\)
0.237463 + 0.971397i \(0.423684\pi\)
\(180\) 3.29906e11i 1.74593i
\(181\) −1.61066e10 2.78975e10i −0.0829109 0.143606i 0.821588 0.570081i \(-0.193088\pi\)
−0.904499 + 0.426476i \(0.859755\pi\)
\(182\) 3.62666e10 6.28157e10i 0.181614 0.314565i
\(183\) 1.94246e9 0.00946445
\(184\) 3.44356e9 + 1.98814e9i 0.0163275 + 0.00942667i
\(185\) 2.13151e11 + 3.69188e11i 0.983622 + 1.70368i
\(186\) −1.23233e10 2.13446e10i −0.0553557 0.0958789i
\(187\) 1.25164e11 + 2.16791e11i 0.547359 + 0.948053i
\(188\) 3.88613e11 1.65473
\(189\) −4.59954e9 7.96664e9i −0.0190724 0.0330344i
\(190\) 4.75723e11 2.74659e11i 1.92126 1.10924i
\(191\) −3.19540e11 1.84486e11i −1.25707 0.725767i −0.284563 0.958657i \(-0.591848\pi\)
−0.972503 + 0.232890i \(0.925182\pi\)
\(192\) 1.91658e10 + 1.10654e10i 0.0734548 + 0.0424092i
\(193\) −4.05653e11 −1.51484 −0.757422 0.652926i \(-0.773541\pi\)
−0.757422 + 0.652926i \(0.773541\pi\)
\(194\) 4.12189e11i 1.49999i
\(195\) 5.18490e9 8.98051e9i 0.0183894 0.0318513i
\(196\) 1.92366e11 3.33187e11i 0.665040 1.15188i
\(197\) −1.45672e11 2.52311e11i −0.490957 0.850363i 0.508989 0.860773i \(-0.330020\pi\)
−0.999946 + 0.0104104i \(0.996686\pi\)
\(198\) −4.86717e11 + 2.81006e11i −1.59937 + 0.923399i
\(199\) 7.59291e10i 0.243300i 0.992573 + 0.121650i \(0.0388186\pi\)
−0.992573 + 0.121650i \(0.961181\pi\)
\(200\) 7.03892e10 4.06392e10i 0.219966 0.126998i
\(201\) 2.10859e10 1.21739e10i 0.0642704 0.0371065i
\(202\) 6.62765e11 3.82647e11i 1.97062 1.13774i
\(203\) −1.89310e10 + 3.27895e10i −0.0549154 + 0.0951163i
\(204\) 2.66022e10i 0.0752952i
\(205\) −8.26455e10 4.77154e10i −0.228270 0.131792i
\(206\) 6.17783e10 3.56677e10i 0.166533 0.0961477i
\(207\) 8.34823e9 0.0219656
\(208\) 2.10164e10 + 3.64014e10i 0.0539810 + 0.0934978i
\(209\) 4.91026e11 + 2.83494e11i 1.23133 + 0.710907i
\(210\) −7.07418e9 + 1.22528e10i −0.0173213 + 0.0300013i
\(211\) 7.42015e11i 1.77419i −0.461585 0.887096i \(-0.652719\pi\)
0.461585 0.887096i \(-0.347281\pi\)
\(212\) −8.86957e10 + 1.53626e11i −0.207121 + 0.358744i
\(213\) −1.40690e10 −0.0320898
\(214\) 2.95854e11i 0.659187i
\(215\) 5.01689e11 1.48263e11i 1.09205 0.322731i
\(216\) −4.18089e10 −0.0889202
\(217\) 2.36110e11i 0.490699i
\(218\) −7.81430e11 4.51159e11i −1.58711 0.916320i
\(219\) −5.07156e9 −0.0100675
\(220\) 9.08346e11 + 5.24434e11i 1.76254 + 1.01760i
\(221\) −1.54139e11 + 2.66977e11i −0.292383 + 0.506422i
\(222\) −6.68361e10 + 3.85878e10i −0.123950 + 0.0715625i
\(223\) 9.08370e11i 1.64717i −0.567193 0.823585i \(-0.691971\pi\)
0.567193 0.823585i \(-0.308029\pi\)
\(224\) −1.17305e11 2.03178e11i −0.208006 0.360277i
\(225\) 8.53224e10 1.47783e11i 0.147962 0.256278i
\(226\) −2.33448e11 −0.395957
\(227\) −5.73172e11 3.30921e11i −0.950946 0.549029i −0.0575715 0.998341i \(-0.518336\pi\)
−0.893375 + 0.449312i \(0.851669\pi\)
\(228\) 3.01267e10 + 5.21810e10i 0.0488965 + 0.0846912i
\(229\) −1.76466e11 3.05648e11i −0.280210 0.485339i 0.691226 0.722639i \(-0.257071\pi\)
−0.971436 + 0.237300i \(0.923738\pi\)
\(230\) −1.28572e10 2.22692e10i −0.0199759 0.0345992i
\(231\) −1.46035e10 −0.0222023
\(232\) 8.60398e10 + 1.49025e11i 0.128015 + 0.221728i
\(233\) −4.49304e11 + 2.59406e11i −0.654276 + 0.377746i −0.790092 0.612988i \(-0.789967\pi\)
0.135817 + 0.990734i \(0.456634\pi\)
\(234\) −5.99390e11 3.46058e11i −0.854339 0.493253i
\(235\) −7.60752e11 4.39220e11i −1.06146 0.612834i
\(236\) 4.65610e11 0.636007
\(237\) 7.53616e9i 0.0100788i
\(238\) 2.10305e11 3.64259e11i 0.275401 0.477008i
\(239\) 2.43008e11 4.20902e11i 0.311624 0.539748i −0.667090 0.744977i \(-0.732460\pi\)
0.978714 + 0.205229i \(0.0657938\pi\)
\(240\) −4.09946e9 7.10047e9i −0.00514838 0.00891725i
\(241\) −9.07268e11 + 5.23812e11i −1.11596 + 0.644303i −0.940368 0.340160i \(-0.889519\pi\)
−0.175597 + 0.984462i \(0.556186\pi\)
\(242\) 4.64688e11i 0.559866i
\(243\) −1.14079e11 + 6.58633e10i −0.134640 + 0.0777342i
\(244\) −2.09539e11 + 1.20978e11i −0.242280 + 0.139880i
\(245\) −7.53153e11 + 4.34833e11i −0.853204 + 0.492598i
\(246\) 8.63817e9 1.49617e10i 0.00958840 0.0166076i
\(247\) 6.98245e11i 0.759492i
\(248\) 9.29328e11 + 5.36548e11i 0.990628 + 0.571939i
\(249\) −6.50658e10 + 3.75658e10i −0.0679761 + 0.0392460i
\(250\) 1.24578e12 1.27568
\(251\) 6.48211e11 + 1.12273e12i 0.650651 + 1.12696i 0.982965 + 0.183792i \(0.0588372\pi\)
−0.332314 + 0.943169i \(0.607829\pi\)
\(252\) 4.95497e11 + 2.86075e11i 0.487571 + 0.281499i
\(253\) 1.32708e10 2.29856e10i 0.0128024 0.0221745i
\(254\) 1.75894e12i 1.66373i
\(255\) 3.00665e10 5.20767e10i 0.0278857 0.0482995i
\(256\) −7.72401e11 −0.702495
\(257\) 5.04406e11i 0.449899i −0.974370 0.224949i \(-0.927778\pi\)
0.974370 0.224949i \(-0.0722217\pi\)
\(258\) 2.68409e10 + 9.08234e10i 0.0234800 + 0.0794510i
\(259\) 7.39328e11 0.634364
\(260\) 1.29168e12i 1.08715i
\(261\) 3.12879e11 + 1.80641e11i 0.258330 + 0.149147i
\(262\) −3.14083e12 −2.54412
\(263\) −7.31711e11 4.22453e11i −0.581515 0.335738i 0.180220 0.983626i \(-0.442319\pi\)
−0.761735 + 0.647889i \(0.775652\pi\)
\(264\) −3.31857e10 + 5.74794e10i −0.0258781 + 0.0448221i
\(265\) 3.47263e11 2.00492e11i 0.265723 0.153415i
\(266\) 9.52673e11i 0.715378i
\(267\) −4.29612e10 7.44109e10i −0.0316606 0.0548378i
\(268\) −1.51640e12 + 2.62649e12i −1.09683 + 1.89977i
\(269\) 1.98915e12 1.41223 0.706116 0.708096i \(-0.250446\pi\)
0.706116 + 0.708096i \(0.250446\pi\)
\(270\) 2.34152e11 + 1.35188e11i 0.163184 + 0.0942145i
\(271\) 3.58700e11 + 6.21287e11i 0.245406 + 0.425056i 0.962246 0.272182i \(-0.0877454\pi\)
−0.716840 + 0.697238i \(0.754412\pi\)
\(272\) 1.21871e11 + 2.11086e11i 0.0818569 + 0.141780i
\(273\) −8.99209e9 1.55748e10i −0.00592990 0.0102709i
\(274\) 2.23390e12 1.44648
\(275\) −2.71265e11 4.69845e11i −0.172477 0.298738i
\(276\) 2.44267e9 1.41027e9i 0.00152517 0.000880558i
\(277\) −2.05351e11 1.18559e11i −0.125921 0.0727005i 0.435716 0.900084i \(-0.356495\pi\)
−0.561637 + 0.827384i \(0.689828\pi\)
\(278\) −8.34070e11 4.81551e11i −0.502318 0.290013i
\(279\) 2.25297e12 1.33271
\(280\) 6.16010e11i 0.357930i
\(281\) 1.19483e12 2.06951e12i 0.681984 1.18123i −0.292390 0.956299i \(-0.594451\pi\)
0.974374 0.224932i \(-0.0722160\pi\)
\(282\) 7.95144e10 1.37723e11i 0.0445862 0.0772255i
\(283\) 2.23702e11 + 3.87464e11i 0.123236 + 0.213451i 0.921042 0.389463i \(-0.127339\pi\)
−0.797806 + 0.602914i \(0.794006\pi\)
\(284\) 1.51768e12 8.76231e11i 0.821462 0.474271i
\(285\) 1.36200e11i 0.0724357i
\(286\) −1.90564e12 + 1.10022e12i −0.995888 + 0.574976i
\(287\) −1.43331e11 + 8.27520e10i −0.0736088 + 0.0424981i
\(288\) −1.93873e12 + 1.11933e12i −0.978489 + 0.564931i
\(289\) 1.14165e11 1.97739e11i 0.0566296 0.0980853i
\(290\) 1.11282e12i 0.542546i
\(291\) 8.85076e10 + 5.10999e10i 0.0424146 + 0.0244881i
\(292\) 5.47087e11 3.15861e11i 0.257717 0.148793i
\(293\) −2.42925e12 −1.12495 −0.562476 0.826813i \(-0.690151\pi\)
−0.562476 + 0.826813i \(0.690151\pi\)
\(294\) −7.87202e10 1.36347e11i −0.0358385 0.0620740i
\(295\) −9.11481e11 5.26244e11i −0.407979 0.235547i
\(296\) 1.68009e12 2.91000e12i 0.739389 1.28066i
\(297\) 2.79073e11i 0.120763i
\(298\) −2.38607e12 + 4.13280e12i −1.01532 + 1.75858i
\(299\) 3.26858e10 0.0136774
\(300\) 5.76543e10i 0.0237260i
\(301\) 2.12354e11 8.82069e11i 0.0859465 0.357001i
\(302\) −5.25549e12 −2.09208
\(303\) 1.89750e11i 0.0742966i
\(304\) 4.78106e11 + 2.76035e11i 0.184144 + 0.106315i
\(305\) 5.46928e11 0.207220
\(306\) −3.47578e12 2.00674e12i −1.29552 0.747970i
\(307\) 1.28066e12 2.21816e12i 0.469613 0.813394i −0.529783 0.848133i \(-0.677727\pi\)
0.999396 + 0.0347392i \(0.0110600\pi\)
\(308\) 1.57533e12 9.09518e11i 0.568353 0.328139i
\(309\) 1.76872e10i 0.00627864i
\(310\) −3.46981e12 6.00989e12i −1.21199 2.09922i
\(311\) −6.30689e11 + 1.09239e12i −0.216777 + 0.375469i −0.953821 0.300376i \(-0.902888\pi\)
0.737044 + 0.675845i \(0.236221\pi\)
\(312\) −8.17363e10 −0.0276466
\(313\) 1.93653e12 + 1.11805e12i 0.644617 + 0.372170i 0.786391 0.617729i \(-0.211947\pi\)
−0.141774 + 0.989899i \(0.545281\pi\)
\(314\) 1.36871e12 + 2.37068e12i 0.448398 + 0.776649i
\(315\) −6.46658e11 1.12005e12i −0.208508 0.361146i
\(316\) −4.69358e11 8.12952e11i −0.148960 0.258006i
\(317\) 5.88126e12 1.83727 0.918637 0.395103i \(-0.129291\pi\)
0.918637 + 0.395103i \(0.129291\pi\)
\(318\) 3.62962e10 + 6.28668e10i 0.0111616 + 0.0193324i
\(319\) 9.94736e11 5.74311e11i 0.301130 0.173858i
\(320\) 5.39641e12 + 3.11562e12i 1.60826 + 0.928527i
\(321\) −6.35274e10 3.66776e10i −0.0186396 0.0107616i
\(322\) −4.45959e10 −0.0128830
\(323\) 4.04902e12i 1.15169i
\(324\) 2.72232e12 4.71520e12i 0.762455 1.32061i
\(325\) 3.34062e11 5.78613e11i 0.0921320 0.159577i
\(326\) −1.41508e12 2.45099e12i −0.384320 0.665662i
\(327\) −1.93751e11 + 1.11862e11i −0.0518208 + 0.0299188i
\(328\) 7.52199e11i 0.198136i
\(329\) −1.31936e12 + 7.61732e11i −0.342282 + 0.197616i
\(330\) 3.71715e11 2.14610e11i 0.0949817 0.0548377i
\(331\) −5.06953e12 + 2.92689e12i −1.27593 + 0.736660i −0.976098 0.217331i \(-0.930265\pi\)
−0.299835 + 0.953991i \(0.596932\pi\)
\(332\) 4.67925e12 8.10470e12i 1.16007 2.00931i
\(333\) 7.05471e12i 1.72289i
\(334\) 2.48206e12 + 1.43302e12i 0.597145 + 0.344762i
\(335\) 5.93704e12 3.42775e12i 1.40717 0.812429i
\(336\) −1.42192e10 −0.00332032
\(337\) 2.10002e12 + 3.63735e12i 0.483142 + 0.836826i 0.999813 0.0193583i \(-0.00616232\pi\)
−0.516671 + 0.856184i \(0.672829\pi\)
\(338\) 3.73885e12 + 2.15863e12i 0.847530 + 0.489321i
\(339\) −2.89410e10 + 5.01273e10i −0.00646420 + 0.0111963i
\(340\) 7.49026e12i 1.64855i
\(341\) 3.58143e12 6.20322e12i 0.776756 1.34538i
\(342\) −9.09045e12 −1.94292
\(343\) 3.25156e12i 0.684890i
\(344\) −2.98926e12 2.84028e12i −0.620542 0.589616i
\(345\) −6.37570e9 −0.00130447
\(346\) 6.16466e10i 0.0124316i
\(347\) 5.53789e12 + 3.19730e12i 1.10077 + 0.635531i 0.936423 0.350872i \(-0.114115\pi\)
0.164348 + 0.986402i \(0.447448\pi\)
\(348\) 1.22063e11 0.0239160
\(349\) −2.67001e12 1.54153e12i −0.515687 0.297732i 0.219481 0.975617i \(-0.429564\pi\)
−0.735168 + 0.677885i \(0.762897\pi\)
\(350\) −4.55789e11 + 7.89449e11i −0.0867807 + 0.150309i
\(351\) −2.97633e11 + 1.71839e11i −0.0558658 + 0.0322541i
\(352\) 7.11736e12i 1.31706i
\(353\) 2.54249e12 + 4.40373e12i 0.463859 + 0.803428i 0.999149 0.0412403i \(-0.0131309\pi\)
−0.535290 + 0.844668i \(0.679798\pi\)
\(354\) 9.52687e10 1.65010e11i 0.0171370 0.0296821i
\(355\) −3.96135e12 −0.702589
\(356\) 9.26874e12 + 5.35131e12i 1.62095 + 0.935858i
\(357\) −5.21438e10 9.03157e10i −0.00899211 0.0155748i
\(358\) −2.62326e12 4.54363e12i −0.446095 0.772658i
\(359\) 1.50036e12 + 2.59871e12i 0.251608 + 0.435798i 0.963969 0.266016i \(-0.0857073\pi\)
−0.712361 + 0.701814i \(0.752374\pi\)
\(360\) −5.87800e12 −0.972113
\(361\) 1.51994e12 + 2.63262e12i 0.247908 + 0.429389i
\(362\) 1.42203e12 8.21007e11i 0.228752 0.132070i
\(363\) 9.97803e10 + 5.76082e10i 0.0158311 + 0.00914011i
\(364\) 1.94002e12 + 1.12007e12i 0.303598 + 0.175282i
\(365\) −1.42798e12 −0.220423
\(366\) 9.90132e10i 0.0150761i
\(367\) 1.51815e12 2.62951e12i 0.228026 0.394952i −0.729197 0.684304i \(-0.760106\pi\)
0.957223 + 0.289352i \(0.0934397\pi\)
\(368\) 1.29216e10 2.23808e10i 0.00191459 0.00331617i
\(369\) 7.89624e11 + 1.36767e12i 0.115422 + 0.199917i
\(370\) −1.88187e13 + 1.08650e13i −2.71382 + 1.56683i
\(371\) 6.95421e11i 0.0989414i
\(372\) 6.59212e11 3.80596e11i 0.0925359 0.0534256i
\(373\) −4.06682e12 + 2.34798e12i −0.563262 + 0.325200i −0.754454 0.656353i \(-0.772098\pi\)
0.191192 + 0.981553i \(0.438765\pi\)
\(374\) −1.10505e13 + 6.38002e12i −1.51017 + 0.871895i
\(375\) 1.54441e11 2.67500e11i 0.0208261 0.0360718i
\(376\) 6.92400e12i 0.921335i
\(377\) 1.22502e12 + 7.07263e11i 0.160855 + 0.0928697i
\(378\) 4.06086e11 2.34454e11i 0.0526209 0.0303807i
\(379\) −9.48688e12 −1.21319 −0.606593 0.795013i \(-0.707464\pi\)
−0.606593 + 0.795013i \(0.707464\pi\)
\(380\) 8.48264e12 + 1.46924e13i 1.07056 + 1.85427i
\(381\) 3.77689e11 + 2.18059e11i 0.0470446 + 0.0271612i
\(382\) 9.40387e12 1.62880e13i 1.15608 2.00240i
\(383\) 5.25246e12i 0.637337i 0.947866 + 0.318668i \(0.103236\pi\)
−0.947866 + 0.318668i \(0.896764\pi\)
\(384\) −3.18048e11 + 5.50875e11i −0.0380922 + 0.0659777i
\(385\) −4.11184e12 −0.486107
\(386\) 2.06774e13i 2.41302i
\(387\) −8.41674e12 2.02629e12i −0.969593 0.233425i
\(388\) −1.27302e13 −1.44769
\(389\) 1.49855e13i 1.68238i −0.540740 0.841190i \(-0.681856\pi\)
0.540740 0.841190i \(-0.318144\pi\)
\(390\) 4.57766e11 + 2.64291e11i 0.0507365 + 0.0292927i
\(391\) 1.89540e11 0.0207404
\(392\) 5.93647e12 + 3.42742e12i 0.641354 + 0.370286i
\(393\) −3.89374e11 + 6.74416e11i −0.0415341 + 0.0719391i
\(394\) 1.28611e13 7.42535e12i 1.35455 0.782053i
\(395\) 2.12192e12i 0.220670i
\(396\) −8.67866e12 1.50319e13i −0.891204 1.54361i
\(397\) 7.07942e12 1.22619e13i 0.717869 1.24338i −0.243974 0.969782i \(-0.578451\pi\)
0.961843 0.273603i \(-0.0882155\pi\)
\(398\) −3.87035e12 −0.387557
\(399\) −2.04563e11 1.18105e11i −0.0202285 0.0116789i
\(400\) −2.64127e11 4.57482e11i −0.0257937 0.0446760i
\(401\) −6.21203e12 1.07596e13i −0.599117 1.03770i −0.992952 0.118520i \(-0.962185\pi\)
0.393834 0.919181i \(-0.371148\pi\)
\(402\) 6.20544e11 + 1.07481e12i 0.0591075 + 0.102377i
\(403\) 8.82104e12 0.829841
\(404\) 1.18178e13 + 2.04690e13i 1.09807 + 1.90191i
\(405\) −1.06585e13 + 6.15366e12i −0.978181 + 0.564753i
\(406\) −1.67139e12 9.64977e11i −0.151512 0.0874756i
\(407\) −1.94241e13 1.12145e13i −1.73928 1.00417i
\(408\) −4.73977e11 −0.0419234
\(409\) 1.70614e13i 1.49072i 0.666661 + 0.745361i \(0.267723\pi\)
−0.666661 + 0.745361i \(0.732277\pi\)
\(410\) 2.43221e12 4.21271e12i 0.209933 0.363615i
\(411\) 2.76941e11 4.79676e11i 0.0236145 0.0409015i
\(412\) 1.10157e12 + 1.90798e12i 0.0927954 + 0.160726i
\(413\) −1.58077e12 + 9.12656e11i −0.131558 + 0.0759551i
\(414\) 4.25537e11i 0.0349893i
\(415\) −1.83203e13 + 1.05772e13i −1.48830 + 0.859272i
\(416\) −7.59072e12 + 4.38250e12i −0.609279 + 0.351767i
\(417\) −2.06802e11 + 1.19397e11i −0.0164012 + 0.00946923i
\(418\) −1.44506e13 + 2.50292e13i −1.13241 + 1.96140i
\(419\) 7.52205e12i 0.582460i −0.956653 0.291230i \(-0.905935\pi\)
0.956653 0.291230i \(-0.0940645\pi\)
\(420\) −3.78420e11 2.18481e11i −0.0289553 0.0167173i
\(421\) 1.50841e13 8.70883e12i 1.14054 0.658490i 0.193974 0.981007i \(-0.437862\pi\)
0.946564 + 0.322517i \(0.104529\pi\)
\(422\) 3.78229e13 2.82613
\(423\) 7.26849e12 + 1.25894e13i 0.536713 + 0.929615i
\(424\) −2.73718e12 1.58031e12i −0.199744 0.115322i
\(425\) 1.93718e12 3.35529e12i 0.139709 0.241983i
\(426\) 7.17145e11i 0.0511162i
\(427\) 4.74264e11 8.21449e11i 0.0334103 0.0578684i
\(428\) 9.13723e12 0.636203
\(429\) 5.45586e11i 0.0375471i
\(430\) 7.55745e12 + 2.55727e13i 0.514083 + 1.73954i
\(431\) −5.99901e12 −0.403360 −0.201680 0.979451i \(-0.564640\pi\)
−0.201680 + 0.979451i \(0.564640\pi\)
\(432\) 2.71730e11i 0.0180600i
\(433\) 9.89382e12 + 5.71220e12i 0.650016 + 0.375287i 0.788462 0.615083i \(-0.210877\pi\)
−0.138446 + 0.990370i \(0.544211\pi\)
\(434\) −1.20353e13 −0.781641
\(435\) −2.38952e11 1.37959e11i −0.0153414 0.00885735i
\(436\) 1.39337e13 2.41339e13i 0.884371 1.53177i
\(437\) 3.71789e11 2.14652e11i 0.0233286 0.0134688i
\(438\) 2.58514e11i 0.0160366i
\(439\) −9.63955e12 1.66962e13i −0.591199 1.02399i −0.994071 0.108731i \(-0.965321\pi\)
0.402872 0.915256i \(-0.368012\pi\)
\(440\) −9.34395e12 + 1.61842e13i −0.566587 + 0.981358i
\(441\) 1.43918e13 0.862823
\(442\) −1.36087e13 7.85698e12i −0.806687 0.465741i
\(443\) 1.59568e13 + 2.76380e13i 0.935249 + 1.61990i 0.774189 + 0.632954i \(0.218158\pi\)
0.161059 + 0.986945i \(0.448509\pi\)
\(444\) −1.19176e12 2.06418e12i −0.0690674 0.119628i
\(445\) −1.20964e13 2.09515e13i −0.693194 1.20065i
\(446\) 4.63025e13 2.62380
\(447\) 5.91612e11 + 1.02470e12i 0.0331512 + 0.0574196i
\(448\) 9.35891e12 5.40337e12i 0.518603 0.299416i
\(449\) −1.78201e13 1.02885e13i −0.976516 0.563792i −0.0752992 0.997161i \(-0.523991\pi\)
−0.901216 + 0.433369i \(0.857325\pi\)
\(450\) 7.53296e12 + 4.34916e12i 0.408228 + 0.235691i
\(451\) 5.02090e12 0.269091
\(452\) 7.20987e12i 0.382151i
\(453\) −6.51533e11 + 1.12849e12i −0.0341543 + 0.0591570i
\(454\) 1.68681e13 2.92165e13i 0.874556 1.51478i
\(455\) −2.53186e12 4.38531e12i −0.129832 0.224876i
\(456\) −9.29720e11 + 5.36774e11i −0.0471550 + 0.0272250i
\(457\) 1.53490e13i 0.770014i 0.922914 + 0.385007i \(0.125801\pi\)
−0.922914 + 0.385007i \(0.874199\pi\)
\(458\) 1.55799e13 8.99506e12i 0.773103 0.446351i
\(459\) −1.72593e12 + 9.96467e11i −0.0847150 + 0.0489102i
\(460\) 6.87769e11 3.97084e11i 0.0333929 0.0192794i
\(461\) −6.81502e12 + 1.18040e13i −0.327312 + 0.566921i −0.981978 0.188997i \(-0.939476\pi\)
0.654665 + 0.755919i \(0.272810\pi\)
\(462\) 7.44388e11i 0.0353663i
\(463\) 1.92133e13 + 1.10928e13i 0.903020 + 0.521359i 0.878179 0.478333i \(-0.158759\pi\)
0.0248413 + 0.999691i \(0.492092\pi\)
\(464\) 9.68562e11 5.59200e11i 0.0450337 0.0260002i
\(465\) −1.72064e12 −0.0791451
\(466\) −1.32228e13 2.29025e13i −0.601717 1.04220i
\(467\) −5.96471e12 3.44373e12i −0.268538 0.155040i 0.359685 0.933074i \(-0.382884\pi\)
−0.628223 + 0.778033i \(0.716217\pi\)
\(468\) 1.06878e13 1.85117e13i 0.476055 0.824551i
\(469\) 1.18894e13i 0.523957i
\(470\) 2.23885e13 3.87780e13i 0.976192 1.69081i
\(471\) 6.78728e11 0.0292813
\(472\) 8.29586e12i 0.354121i
\(473\) −1.89588e13 + 1.99532e13i −0.800763 + 0.842764i
\(474\) −3.84143e11 −0.0160546
\(475\) 8.77534e12i 0.362907i
\(476\) 1.12499e13 + 6.49512e12i 0.460376 + 0.265798i
\(477\) −6.63574e12 −0.268718
\(478\) 2.14547e13 + 1.23869e13i 0.859772 + 0.496390i
\(479\) −1.67033e13 + 2.89310e13i −0.662407 + 1.14732i 0.317575 + 0.948233i \(0.397132\pi\)
−0.979981 + 0.199089i \(0.936202\pi\)
\(480\) 1.48065e12 8.54853e11i 0.0581093 0.0335494i
\(481\) 2.76213e13i 1.07280i
\(482\) −2.67004e13 4.62464e13i −1.02632 1.77764i
\(483\) −5.52864e9 + 9.57589e9i −0.000210321 + 0.000364287i
\(484\) −1.43515e13 −0.540346
\(485\) 2.49206e13 + 1.43879e13i 0.928647 + 0.536155i
\(486\) −3.35727e12 5.81496e12i −0.123824 0.214469i
\(487\) 4.10347e12 + 7.10741e12i 0.149798 + 0.259458i 0.931153 0.364629i \(-0.118804\pi\)
−0.781355 + 0.624087i \(0.785471\pi\)
\(488\) −2.15548e12 3.73341e12i −0.0778835 0.134898i
\(489\) −7.01721e11 −0.0250969
\(490\) −2.21649e13 3.83907e13i −0.784665 1.35908i
\(491\) −3.03152e13 + 1.75025e13i −1.06231 + 0.613327i −0.926071 0.377349i \(-0.876836\pi\)
−0.136242 + 0.990676i \(0.543502\pi\)
\(492\) 4.62083e11 + 2.66784e11i 0.0160285 + 0.00925409i
\(493\) 7.10369e12 + 4.10132e12i 0.243921 + 0.140828i
\(494\) −3.55918e13 −1.20980
\(495\) 3.92354e13i 1.32024i
\(496\) 3.48719e12 6.04000e12i 0.116163 0.201200i
\(497\) −3.43505e12 + 5.94969e12i −0.113280 + 0.196206i
\(498\) −1.91485e12 3.31662e12i −0.0625155 0.108280i
\(499\) −4.01446e13 + 2.31775e13i −1.29755 + 0.749142i −0.979981 0.199092i \(-0.936201\pi\)
−0.317572 + 0.948234i \(0.602867\pi\)
\(500\) 3.84749e13i 1.23120i
\(501\) 6.15411e11 3.55308e11i 0.0194974 0.0112568i
\(502\) −5.72294e13 + 3.30414e13i −1.79515 + 1.03643i
\(503\) −2.12429e13 + 1.22646e13i −0.659740 + 0.380901i −0.792178 0.610290i \(-0.791053\pi\)
0.132438 + 0.991191i \(0.457720\pi\)
\(504\) −5.09706e12 + 8.82836e12i −0.156735 + 0.271474i
\(505\) 5.34270e13i 1.62669i
\(506\) 1.17165e12 + 6.76453e11i 0.0353220 + 0.0203932i
\(507\) 9.27025e11 5.35218e11i 0.0276727 0.0159768i
\(508\) −5.43236e13 −1.60572
\(509\) −1.21773e12 2.10917e12i −0.0356420 0.0617338i 0.847654 0.530549i \(-0.178014\pi\)
−0.883296 + 0.468815i \(0.844681\pi\)
\(510\) 2.65452e12 + 1.53259e12i 0.0769369 + 0.0444195i
\(511\) −1.23826e12 + 2.14472e12i −0.0355391 + 0.0615555i
\(512\) 1.21662e13i 0.345783i
\(513\) −2.25698e12 + 3.90920e12i −0.0635244 + 0.110027i
\(514\) 2.57112e13 0.716650
\(515\) 4.98009e12i 0.137468i
\(516\) −2.80501e12 + 8.28960e11i −0.0766808 + 0.0226613i
\(517\) 4.62174e13 1.25127
\(518\) 3.76859e13i 1.01049i
\(519\) 1.32371e10 + 7.64244e9i 0.000351525 + 0.000202953i
\(520\) −2.30141e13 −0.605309
\(521\) 6.01436e13 + 3.47239e13i 1.56675 + 0.904565i 0.996544 + 0.0830655i \(0.0264711\pi\)
0.570209 + 0.821500i \(0.306862\pi\)
\(522\) −9.20786e12 + 1.59485e13i −0.237578 + 0.411497i
\(523\) 4.20373e13 2.42702e13i 1.07430 0.620248i 0.144948 0.989439i \(-0.453698\pi\)
0.929354 + 0.369191i \(0.120365\pi\)
\(524\) 9.70022e13i 2.45542i
\(525\) 1.13010e11 + 1.95739e11i 0.00283348 + 0.00490773i
\(526\) 2.15338e13 3.72977e13i 0.534801 0.926303i
\(527\) 5.11520e13 1.25837
\(528\) 3.73577e11 + 2.15685e11i 0.00910354 + 0.00525593i
\(529\) 2.07032e13 + 3.58590e13i 0.499757 + 0.865605i
\(530\) 1.02197e13 + 1.77011e13i 0.244377 + 0.423273i
\(531\) 8.70861e12 + 1.50838e13i 0.206289 + 0.357303i
\(532\) 2.94226e13 0.690435
\(533\) 3.09161e12 + 5.35483e12i 0.0718702 + 0.124483i
\(534\) 3.79296e12 2.18987e12i 0.0873519 0.0504327i
\(535\) −1.78871e13 1.03271e13i −0.408104 0.235619i
\(536\) −4.67966e13 2.70181e13i −1.05777 0.610703i
\(537\) −1.30084e12 −0.0291309
\(538\) 1.01393e14i 2.24956i
\(539\) 2.28779e13 3.96256e13i 0.502889 0.871028i
\(540\) −4.17517e12 + 7.23160e12i −0.0909296 + 0.157495i
\(541\) −1.72475e13 2.98735e13i −0.372168 0.644615i 0.617730 0.786390i \(-0.288052\pi\)
−0.989899 + 0.141775i \(0.954719\pi\)
\(542\) −3.16690e13 + 1.82841e13i −0.677077 + 0.390911i
\(543\) 4.07127e11i 0.00862444i
\(544\) −4.40175e13 + 2.54135e13i −0.923912 + 0.533421i
\(545\) −5.45534e13 + 3.14964e13i −1.13459 + 0.655057i
\(546\) 7.93896e11 4.58356e11i 0.0163606 0.00944582i
\(547\) 1.11162e13 1.92538e13i 0.226996 0.393169i −0.729920 0.683532i \(-0.760443\pi\)
0.956916 + 0.290364i \(0.0937762\pi\)
\(548\) 6.89924e13i 1.39604i
\(549\) −7.83831e12 4.52545e12i −0.157167 0.0907403i
\(550\) 2.39495e13 1.38273e13i 0.475864 0.274740i
\(551\) 1.85788e13 0.365813
\(552\) 2.51271e10 + 4.35215e10i 0.000490284 + 0.000849196i
\(553\) 3.18698e12 + 1.84001e12i 0.0616246 + 0.0355790i
\(554\) 6.04336e12 1.04674e13i 0.115806 0.200581i
\(555\) 5.38781e12i 0.102317i
\(556\) 1.48723e13 2.57596e13i 0.279902 0.484804i
\(557\) 3.83792e13 0.715846 0.357923 0.933751i \(-0.383485\pi\)
0.357923 + 0.933751i \(0.383485\pi\)
\(558\) 1.14841e14i 2.12289i
\(559\) −3.29540e13 7.93354e12i −0.603739 0.145348i
\(560\) −4.00364e12 −0.0726968
\(561\) 3.16377e12i 0.0569366i
\(562\) 1.05489e14 + 6.09043e13i 1.88160 + 1.08634i
\(563\) −3.02873e12 −0.0535450 −0.0267725 0.999642i \(-0.508523\pi\)
−0.0267725 + 0.999642i \(0.508523\pi\)
\(564\) 4.25347e12 + 2.45574e12i 0.0745329 + 0.0430316i
\(565\) −8.14877e12 + 1.41141e13i −0.141530 + 0.245138i
\(566\) −1.97503e13 + 1.14028e13i −0.340010 + 0.196305i
\(567\) 2.13444e13i 0.364224i
\(568\) 1.56120e13 + 2.70408e13i 0.264068 + 0.457380i
\(569\) −4.18542e13 + 7.24936e13i −0.701743 + 1.21545i 0.266112 + 0.963942i \(0.414261\pi\)
−0.967854 + 0.251512i \(0.919072\pi\)
\(570\) 6.94255e12 0.115384
\(571\) −7.15231e13 4.12939e13i −1.17833 0.680307i −0.222700 0.974887i \(-0.571487\pi\)
−0.955627 + 0.294580i \(0.904820\pi\)
\(572\) −3.39795e13 5.88543e13i −0.554929 0.961165i
\(573\) −2.33163e12 4.03850e12i −0.0377474 0.0653803i
\(574\) −4.21814e12 7.30603e12i −0.0676957 0.117252i
\(575\) −4.10786e11 −0.00653546
\(576\) −5.15592e13 8.93032e13i −0.813194 1.40849i
\(577\) 1.00258e14 5.78840e13i 1.56762 0.905064i 0.571171 0.820831i \(-0.306489\pi\)
0.996446 0.0842325i \(-0.0268438\pi\)
\(578\) 1.00794e13 + 5.81936e12i 0.156241 + 0.0902061i
\(579\) −4.43998e12 2.56342e12i −0.0682319 0.0393937i
\(580\) 3.43688e13 0.523629
\(581\) 3.66878e13i 0.554167i
\(582\) −2.60473e12 + 4.51152e12i −0.0390074 + 0.0675628i
\(583\) −1.05485e13 + 1.82705e13i −0.156620 + 0.271274i
\(584\) 5.62776e12 + 9.74756e12i 0.0828459 + 0.143493i
\(585\) −4.18448e13 + 2.41591e13i −0.610748 + 0.352616i
\(586\) 1.23827e14i 1.79195i
\(587\) −9.08506e12 + 5.24526e12i −0.130358 + 0.0752622i −0.563761 0.825938i \(-0.690646\pi\)
0.433403 + 0.901200i \(0.357313\pi\)
\(588\) 4.21099e12 2.43121e12i 0.0599097 0.0345889i
\(589\) 1.00336e14 5.79291e13i 1.41540 0.817184i
\(590\) 2.68243e13 4.64611e13i 0.375205 0.649875i
\(591\) 3.68214e12i 0.0510696i
\(592\) −1.89130e13 1.09194e13i −0.260107 0.150173i
\(593\) −1.38122e13 + 7.97449e12i −0.188360 + 0.108750i −0.591215 0.806514i \(-0.701351\pi\)
0.402854 + 0.915264i \(0.368018\pi\)
\(594\) −1.42252e13 −0.192366
\(595\) −1.46819e13 2.54298e13i −0.196878 0.341002i
\(596\) −1.27638e14 7.36921e13i −1.69727 0.979918i
\(597\) −4.79815e11 + 8.31064e11i −0.00632706 + 0.0109588i
\(598\) 1.66610e12i 0.0217869i
\(599\) 2.84734e13 4.93173e13i 0.369237 0.639537i −0.620210 0.784436i \(-0.712952\pi\)
0.989446 + 0.144899i \(0.0462858\pi\)
\(600\) 1.02724e12 0.0132104
\(601\) 1.31290e14i 1.67440i −0.546899 0.837199i \(-0.684192\pi\)
0.546899 0.837199i \(-0.315808\pi\)
\(602\) 4.49619e13 + 1.08244e13i 0.568673 + 0.136905i
\(603\) −1.13449e14 −1.42303
\(604\) 1.62312e14i 2.01914i
\(605\) 2.80947e13 + 1.62205e13i 0.346615 + 0.200118i
\(606\) 9.67217e12 0.118348
\(607\) −1.16203e14 6.70896e13i −1.41017 0.814164i −0.414769 0.909927i \(-0.636138\pi\)
−0.995404 + 0.0957629i \(0.969471\pi\)
\(608\) −5.75611e13 + 9.96987e13i −0.692805 + 1.19997i
\(609\) −4.14410e11 + 2.39260e11i −0.00494703 + 0.00285617i
\(610\) 2.78787e13i 0.330083i
\(611\) 2.84583e13 + 4.92912e13i 0.334197 + 0.578846i
\(612\) 6.19767e13 1.07347e14i 0.721891 1.25035i
\(613\) 1.10731e14 1.27928 0.639642 0.768673i \(-0.279083\pi\)
0.639642 + 0.768673i \(0.279083\pi\)
\(614\) 1.13067e14 + 6.52791e13i 1.29567 + 0.748053i
\(615\) −6.03051e11 1.04451e12i −0.00685454 0.0118724i
\(616\) 1.62051e13 + 2.80680e13i 0.182704 + 0.316452i
\(617\) −6.70941e13 1.16210e14i −0.750341 1.29963i −0.947657 0.319289i \(-0.896556\pi\)
0.197317 0.980340i \(-0.436777\pi\)
\(618\) 9.01572e11 0.0100013
\(619\) 6.62682e13 + 1.14780e14i 0.729209 + 1.26303i 0.957218 + 0.289368i \(0.0934450\pi\)
−0.228009 + 0.973659i \(0.573222\pi\)
\(620\) 1.85611e14 1.07163e14i 2.02603 1.16973i
\(621\) 1.82995e11 + 1.05652e11i 0.00198144 + 0.00114399i
\(622\) −5.56824e13 3.21483e13i −0.598090 0.345307i
\(623\) −4.19571e13 −0.447059
\(624\) 5.31230e11i 0.00561513i
\(625\) 5.76344e13 9.98256e13i 0.604340 1.04675i
\(626\) −5.69909e13 + 9.87111e13i −0.592835 + 1.02682i
\(627\) 3.58294e12 + 6.20584e12i 0.0369745 + 0.0640417i
\(628\) −7.32167e13 + 4.22717e13i −0.749570 + 0.432764i
\(629\) 1.60172e14i 1.62679i
\(630\) 5.70923e13 3.29623e13i 0.575274 0.332135i
\(631\) 3.13007e13 1.80715e13i 0.312901 0.180653i −0.335323 0.942103i \(-0.608845\pi\)
0.648224 + 0.761450i \(0.275512\pi\)
\(632\) 1.44845e13 8.36265e12i 0.143654 0.0829389i
\(633\) 4.68898e12 8.12155e12i 0.0461381 0.0799135i
\(634\) 2.99787e14i 2.92662i
\(635\) 1.06344e14 + 6.13978e13i 1.03002 + 0.594681i
\(636\) −1.94160e12 + 1.12098e12i −0.0186583 + 0.0107724i
\(637\) 5.63481e13 0.537257
\(638\) 2.92745e13 + 5.07049e13i 0.276940 + 0.479675i
\(639\) 5.67722e13 + 3.27775e13i 0.532883 + 0.307660i
\(640\) −8.95512e13 + 1.55107e14i −0.834010 + 1.44455i
\(641\) 1.21299e14i 1.12090i −0.828187 0.560451i \(-0.810628\pi\)
0.828187 0.560451i \(-0.189372\pi\)
\(642\) 1.86957e12 3.23820e12i 0.0171422 0.0296912i
\(643\) −1.86374e14 −1.69563 −0.847816 0.530290i \(-0.822083\pi\)
−0.847816 + 0.530290i \(0.822083\pi\)
\(644\) 1.37731e12i 0.0124338i
\(645\) 6.42803e12 + 1.54752e12i 0.0575810 + 0.0138624i
\(646\) −2.06392e14 −1.83455
\(647\) 1.28349e14i 1.13207i 0.824382 + 0.566033i \(0.191523\pi\)
−0.824382 + 0.566033i \(0.808477\pi\)
\(648\) 8.40116e13 + 4.85041e13i 0.735299 + 0.424525i
\(649\) 5.53745e13 0.480935
\(650\) 2.94938e13 + 1.70282e13i 0.254193 + 0.146758i
\(651\) −1.49204e12 + 2.58428e12i −0.0127607 + 0.0221022i
\(652\) 7.56971e13 4.37037e13i 0.642453 0.370920i
\(653\) 7.76453e13i 0.653957i −0.945032 0.326978i \(-0.893970\pi\)
0.945032 0.326978i \(-0.106030\pi\)
\(654\) −5.70197e12 9.87610e12i −0.0476580 0.0825461i
\(655\) −1.09634e14 + 1.89892e14i −0.909368 + 1.57507i
\(656\) 4.88878e12 0.0402422
\(657\) 2.04651e13 + 1.18155e13i 0.167181 + 0.0965219i
\(658\) −3.88280e13 6.72520e13i −0.314786 0.545225i
\(659\) 2.74255e13 + 4.75024e13i 0.220662 + 0.382198i 0.955009 0.296576i \(-0.0958448\pi\)
−0.734347 + 0.678774i \(0.762511\pi\)
\(660\) 6.62806e12 + 1.14801e13i 0.0529257 + 0.0916700i
\(661\) −2.10249e14 −1.66619 −0.833097 0.553127i \(-0.813435\pi\)
−0.833097 + 0.553127i \(0.813435\pi\)
\(662\) −1.49193e14 2.58410e14i −1.17344 2.03245i
\(663\) −3.37419e12 + 1.94809e12i −0.0263392 + 0.0152069i
\(664\) 1.44403e14 + 8.33712e13i 1.11876 + 0.645915i
\(665\) −5.75979e13 3.32542e13i −0.442892 0.255704i
\(666\) 3.59601e14 2.74442
\(667\) 8.69698e11i 0.00658779i
\(668\) −4.42577e13 + 7.66566e13i −0.332741 + 0.576325i
\(669\) 5.74021e12 9.94234e12i 0.0428349 0.0741922i
\(670\) 1.74724e14 + 3.02630e14i 1.29413 + 2.24150i
\(671\) −2.49203e13 + 1.43877e13i −0.183206 + 0.105774i
\(672\) 2.96511e12i 0.0216369i
\(673\) 2.09498e14 1.20954e14i 1.51742 0.876081i 0.517626 0.855607i \(-0.326816\pi\)
0.999790 0.0204733i \(-0.00651730\pi\)
\(674\) −1.85407e14 + 1.07045e14i −1.33299 + 0.769603i
\(675\) 3.74057e12 2.15962e12i 0.0266943 0.0154120i
\(676\) −6.66676e13 + 1.15472e14i −0.472260 + 0.817979i
\(677\) 9.76750e13i 0.686815i −0.939186 0.343408i \(-0.888419\pi\)
0.939186 0.343408i \(-0.111581\pi\)
\(678\) −2.55515e12 1.47522e12i −0.0178348 0.0102969i
\(679\) 4.32195e13 2.49528e13i 0.299454 0.172890i
\(680\) −1.33455e14 −0.917892
\(681\) −4.18235e12 7.24404e12i −0.0285552 0.0494590i
\(682\) 3.16198e14 + 1.82557e14i 2.14308 + 1.23731i
\(683\) −1.46747e14 + 2.54173e14i −0.987335 + 1.71011i −0.356274 + 0.934381i \(0.615953\pi\)
−0.631061 + 0.775733i \(0.717380\pi\)
\(684\) 2.80752e14i 1.87518i
\(685\) 7.79769e13 1.35060e14i 0.517027 0.895517i
\(686\) −1.65743e14 −1.09097
\(687\) 4.46054e12i 0.0291476i
\(688\) −1.84599e13 + 1.94281e13i −0.119753 + 0.126034i
\(689\) −2.59809e13 −0.167324
\(690\) 3.24990e11i 0.00207790i
\(691\) 1.63631e14 + 9.44725e13i 1.03867 + 0.599674i 0.919455 0.393195i \(-0.128630\pi\)
0.119211 + 0.992869i \(0.461964\pi\)
\(692\) −1.90391e12 −0.0119982
\(693\) 5.89289e13 + 3.40226e13i 0.368691 + 0.212864i
\(694\) −1.62977e14 + 2.82284e14i −1.01235 + 1.75343i
\(695\) −5.82284e13 + 3.36182e13i −0.359096 + 0.207324i
\(696\) 2.17483e12i 0.0133161i
\(697\) 1.79278e13 + 3.10519e13i 0.108984 + 0.188766i
\(698\) 7.85769e13 1.36099e14i 0.474262 0.821445i
\(699\) −6.55700e12 −0.0392934
\(700\) −2.43815e13 1.40767e13i −0.145068 0.0837549i
\(701\) −1.25587e14 2.17523e14i −0.741916 1.28504i −0.951622 0.307272i \(-0.900584\pi\)
0.209706 0.977765i \(-0.432749\pi\)
\(702\) −8.75917e12 1.51713e13i −0.0513780 0.0889894i
\(703\) −1.81393e14 3.14181e14i −1.05644 1.82980i
\(704\) −3.27844e14 −1.89585
\(705\) −5.55108e12 9.61476e12i −0.0318737 0.0552068i
\(706\) −2.24472e14 + 1.29599e14i −1.27979 + 0.738888i
\(707\) −8.02438e13 4.63288e13i −0.454270 0.262273i
\(708\) 5.09622e12 + 2.94230e12i 0.0286472 + 0.0165395i
\(709\) 1.62910e14 0.909321 0.454660 0.890665i \(-0.349761\pi\)
0.454660 + 0.890665i \(0.349761\pi\)
\(710\) 2.01923e14i 1.11916i
\(711\) 1.75574e13 3.04104e13i 0.0966302 0.167368i
\(712\) −9.53453e13 + 1.65143e14i −0.521074 + 0.902527i
\(713\) −2.71174e12 4.69687e12i −0.0147163 0.0254895i
\(714\) 4.60369e12 2.65794e12i 0.0248093 0.0143237i
\(715\) 1.53618e14i 0.822076i
\(716\) 1.40327e14 8.10176e13i 0.745718 0.430541i
\(717\) 5.31956e12 3.07125e12i 0.0280724 0.0162076i
\(718\) −1.32465e14 + 7.64785e13i −0.694189 + 0.400790i
\(719\) 1.59220e14 2.75778e14i 0.828617 1.43521i −0.0705062 0.997511i \(-0.522461\pi\)
0.899123 0.437696i \(-0.144205\pi\)
\(720\) 3.82030e13i 0.197440i
\(721\) −7.47977e12 4.31844e12i −0.0383894 0.0221641i
\(722\) −1.34193e14 + 7.74763e13i −0.683980 + 0.394896i
\(723\) −1.32404e13 −0.0670207
\(724\) 2.53562e13 + 4.39182e13i 0.127465 + 0.220776i
\(725\) −1.53956e13 8.88867e12i −0.0768613 0.0443759i
\(726\) −2.93648e12 + 5.08613e12i −0.0145594 + 0.0252176i
\(727\) 3.04881e14i 1.50127i 0.660718 + 0.750635i \(0.270252\pi\)
−0.660718 + 0.750635i \(0.729748\pi\)
\(728\) −1.99565e13 + 3.45656e13i −0.0975949 + 0.169039i
\(729\) 2.02557e14 0.983806
\(730\) 7.27885e13i 0.351114i
\(731\) −1.91096e14 4.60054e13i −0.915512 0.220405i
\(732\) −3.05795e12 −0.0145504
\(733\) 5.21358e13i 0.246386i −0.992383 0.123193i \(-0.960687\pi\)
0.992383 0.123193i \(-0.0393135\pi\)
\(734\) 1.34035e14 + 7.73849e13i 0.629124 + 0.363225i
\(735\) −1.09913e13 −0.0512403
\(736\) 4.66703e12 + 2.69451e12i 0.0216098 + 0.0124764i
\(737\) −1.80344e14 + 3.12365e14i −0.829402 + 1.43657i
\(738\) −6.97145e13 + 4.02497e13i −0.318450 + 0.183857i
\(739\) 1.95758e14i 0.888172i −0.895984 0.444086i \(-0.853528\pi\)
0.895984 0.444086i \(-0.146472\pi\)
\(740\) −3.35557e14 5.81202e14i −1.51220 2.61920i
\(741\) −4.41238e12 + 7.64247e12i −0.0197507 + 0.0342092i
\(742\) 3.54479e13 0.157605
\(743\) −3.04983e13 1.76082e13i −0.134689 0.0777627i 0.431141 0.902284i \(-0.358111\pi\)
−0.565830 + 0.824522i \(0.691444\pi\)
\(744\) 6.78116e12 + 1.17453e13i 0.0297467 + 0.0515228i
\(745\) 1.66577e14 + 2.88520e14i 0.725829 + 1.25717i
\(746\) −1.19684e14 2.07299e14i −0.518015 0.897228i
\(747\) 3.50077e14 1.50508
\(748\) −1.97042e14 3.41287e14i −0.841495 1.45751i
\(749\) −3.10213e13 + 1.79102e13i −0.131599 + 0.0759785i
\(750\) 1.36354e13 + 7.87238e12i 0.0574593 + 0.0331741i
\(751\) 1.89666e14 + 1.09504e14i 0.793942 + 0.458383i 0.841349 0.540493i \(-0.181762\pi\)
−0.0474062 + 0.998876i \(0.515096\pi\)
\(752\) 4.50013e13 0.187127
\(753\) 1.63848e13i 0.0676811i
\(754\) −3.60515e13 + 6.24430e13i −0.147933 + 0.256228i
\(755\) −1.83449e14 + 3.17743e14i −0.747791 + 1.29521i
\(756\) 7.24093e12 + 1.25417e13i 0.0293214 + 0.0507862i
\(757\) 2.69739e14 1.55734e14i 1.08509 0.626476i 0.152824 0.988253i \(-0.451163\pi\)
0.932265 + 0.361777i \(0.117830\pi\)
\(758\) 4.83577e14i 1.93250i
\(759\) 2.90504e11 1.67722e11i 0.00115330 0.000665859i
\(760\) −2.61777e14 + 1.51137e14i −1.03244 + 0.596077i
\(761\)