Properties

Label 43.11.d.a.7.16
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 7.16
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.21

$q$-expansion

\(f(q)\) \(=\) \(q-13.0858i q^{2} +(106.382 - 61.4196i) q^{3} +852.763 q^{4} +(-2217.26 + 1280.13i) q^{5} +(-803.723 - 1392.09i) q^{6} +(8609.98 + 4970.97i) q^{7} -24558.9i q^{8} +(-21979.8 + 38070.1i) q^{9} +O(q^{10})\) \(q-13.0858i q^{2} +(106.382 - 61.4196i) q^{3} +852.763 q^{4} +(-2217.26 + 1280.13i) q^{5} +(-803.723 - 1392.09i) q^{6} +(8609.98 + 4970.97i) q^{7} -24558.9i q^{8} +(-21979.8 + 38070.1i) q^{9} +(16751.5 + 29014.5i) q^{10} +158615. q^{11} +(90718.5 - 52376.3i) q^{12} +(-296217. + 513064. i) q^{13} +(65049.0 - 112668. i) q^{14} +(-157251. + 272366. i) q^{15} +551857. q^{16} +(-461009. + 798492. i) q^{17} +(498176. + 287622. i) q^{18} +(-250215. + 144462. i) q^{19} +(-1.89079e6 + 1.09165e6i) q^{20} +1.22126e6 q^{21} -2.07560e6i q^{22} +(-3.67844e6 - 6.37124e6i) q^{23} +(-1.50840e6 - 2.61262e6i) q^{24} +(-1.60532e6 + 2.78050e6i) q^{25} +(6.71383e6 + 3.87623e6i) q^{26} +1.26535e7i q^{27} +(7.34227e6 + 4.23906e6i) q^{28} +(1.56502e7 + 9.03563e6i) q^{29} +(3.56412e6 + 2.05775e6i) q^{30} +(2.67550e7 + 4.63411e7i) q^{31} -3.23698e7i q^{32} +(1.68737e7 - 9.74206e6i) q^{33} +(1.04489e7 + 6.03266e6i) q^{34} -2.54541e7 q^{35} +(-1.87435e7 + 3.24647e7i) q^{36} +(8.85787e7 - 5.11409e7i) q^{37} +(1.89039e6 + 3.27425e6i) q^{38} +7.27742e7i q^{39} +(3.14387e7 + 5.44534e7i) q^{40} -6.58197e7 q^{41} -1.59811e7i q^{42} +(8.50972e7 + 1.19875e8i) q^{43} +1.35261e8 q^{44} -1.12548e8i q^{45} +(-8.33726e7 + 4.81352e7i) q^{46} +4.04928e8 q^{47} +(5.87076e7 - 3.38948e7i) q^{48} +(-9.18165e7 - 1.59031e8i) q^{49} +(3.63850e7 + 2.10069e7i) q^{50} +1.13260e8i q^{51} +(-2.52603e8 + 4.37521e8i) q^{52} +(2.45372e8 + 4.24996e8i) q^{53} +1.65581e8 q^{54} +(-3.51690e8 + 2.03048e8i) q^{55} +(1.22082e8 - 2.11451e8i) q^{56} +(-1.77455e7 + 3.07362e7i) q^{57} +(1.18238e8 - 2.04795e8i) q^{58} -1.23153e8 q^{59} +(-1.34098e8 + 2.32264e8i) q^{60} +(-1.04601e9 - 6.03916e8i) q^{61} +(6.06409e8 - 3.50110e8i) q^{62} +(-3.78491e8 + 2.18522e8i) q^{63} +1.41518e8 q^{64} -1.51679e9i q^{65} +(-1.27482e8 - 2.20806e8i) q^{66} +(1.32468e8 + 2.29442e8i) q^{67} +(-3.93132e8 + 6.80924e8i) q^{68} +(-7.82638e8 - 4.51856e8i) q^{69} +3.33086e8i q^{70} +(8.12063e8 + 4.68845e8i) q^{71} +(9.34958e8 + 5.39799e8i) q^{72} +(-3.43765e9 - 1.98473e9i) q^{73} +(-6.69218e8 - 1.15912e9i) q^{74} +3.94393e8i q^{75} +(-2.13374e8 + 1.23191e8i) q^{76} +(1.36567e9 + 7.88470e8i) q^{77} +9.52307e8 q^{78} +(-3.21487e8 + 5.56832e8i) q^{79} +(-1.22361e9 + 7.06451e8i) q^{80} +(-5.20711e8 - 9.01898e8i) q^{81} +8.61301e8i q^{82} +(-2.64411e9 - 4.57973e9i) q^{83} +1.04145e9 q^{84} -2.36062e9i q^{85} +(1.56865e9 - 1.11356e9i) q^{86} +2.21986e9 q^{87} -3.89540e9i q^{88} +(-1.78059e8 + 1.02802e8i) q^{89} -1.47278e9 q^{90} +(-5.10085e9 + 2.94498e9i) q^{91} +(-3.13683e9 - 5.43316e9i) q^{92} +(5.69250e9 + 3.28657e9i) q^{93} -5.29879e9i q^{94} +(3.69861e8 - 6.40617e8i) q^{95} +(-1.98814e9 - 3.44356e9i) q^{96} -1.89193e9 q^{97} +(-2.08104e9 + 1.20149e9i) q^{98} +(-3.48632e9 + 6.03848e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 13.0858i 0.408930i −0.978874 0.204465i \(-0.934454\pi\)
0.978874 0.204465i \(-0.0655455\pi\)
\(3\) 106.382 61.4196i 0.437785 0.252756i −0.264872 0.964283i \(-0.585330\pi\)
0.702658 + 0.711528i \(0.251996\pi\)
\(4\) 852.763 0.832776
\(5\) −2217.26 + 1280.13i −0.709523 + 0.409643i −0.810884 0.585207i \(-0.801013\pi\)
0.101362 + 0.994850i \(0.467680\pi\)
\(6\) −803.723 1392.09i −0.103359 0.179024i
\(7\) 8609.98 + 4970.97i 0.512285 + 0.295768i 0.733773 0.679395i \(-0.237758\pi\)
−0.221487 + 0.975163i \(0.571091\pi\)
\(8\) 24558.9i 0.749478i
\(9\) −21979.8 + 38070.1i −0.372229 + 0.644720i
\(10\) 16751.5 + 29014.5i 0.167515 + 0.290145i
\(11\) 158615. 0.984873 0.492437 0.870348i \(-0.336106\pi\)
0.492437 + 0.870348i \(0.336106\pi\)
\(12\) 90718.5 52376.3i 0.364577 0.210489i
\(13\) −296217. + 513064.i −0.797800 + 1.38183i 0.123247 + 0.992376i \(0.460669\pi\)
−0.921046 + 0.389453i \(0.872664\pi\)
\(14\) 65049.0 112668.i 0.120949 0.209489i
\(15\) −157251. + 272366.i −0.207079 + 0.358672i
\(16\) 551857. 0.526292
\(17\) −461009. + 798492.i −0.324687 + 0.562375i −0.981449 0.191723i \(-0.938592\pi\)
0.656762 + 0.754098i \(0.271926\pi\)
\(18\) 498176. + 287622.i 0.263646 + 0.152216i
\(19\) −250215. + 144462.i −0.101052 + 0.0583424i −0.549674 0.835379i \(-0.685248\pi\)
0.448622 + 0.893721i \(0.351915\pi\)
\(20\) −1.89079e6 + 1.09165e6i −0.590873 + 0.341141i
\(21\) 1.22126e6 0.299028
\(22\) 2.07560e6i 0.402744i
\(23\) −3.67844e6 6.37124e6i −0.571511 0.989885i −0.996411 0.0846453i \(-0.973024\pi\)
0.424901 0.905240i \(-0.360309\pi\)
\(24\) −1.50840e6 2.61262e6i −0.189435 0.328110i
\(25\) −1.60532e6 + 2.78050e6i −0.164385 + 0.284723i
\(26\) 6.71383e6 + 3.87623e6i 0.565072 + 0.326244i
\(27\) 1.26535e7i 0.881843i
\(28\) 7.34227e6 + 4.23906e6i 0.426619 + 0.246309i
\(29\) 1.56502e7 + 9.03563e6i 0.763008 + 0.440523i 0.830375 0.557205i \(-0.188126\pi\)
−0.0673665 + 0.997728i \(0.521460\pi\)
\(30\) 3.56412e6 + 2.05775e6i 0.146672 + 0.0846809i
\(31\) 2.67550e7 + 4.63411e7i 0.934538 + 1.61867i 0.775456 + 0.631402i \(0.217520\pi\)
0.159082 + 0.987265i \(0.449147\pi\)
\(32\) 3.23698e7i 0.964694i
\(33\) 1.68737e7 9.74206e6i 0.431163 0.248932i
\(34\) 1.04489e7 + 6.03266e6i 0.229972 + 0.132774i
\(35\) −2.54541e7 −0.484637
\(36\) −1.87435e7 + 3.24647e7i −0.309984 + 0.536907i
\(37\) 8.85787e7 5.11409e7i 1.27738 0.737497i 0.301015 0.953619i \(-0.402674\pi\)
0.976366 + 0.216123i \(0.0693411\pi\)
\(38\) 1.89039e6 + 3.27425e6i 0.0238580 + 0.0413232i
\(39\) 7.27742e7i 0.806593i
\(40\) 3.14387e7 + 5.44534e7i 0.307018 + 0.531771i
\(41\) −6.58197e7 −0.568115 −0.284058 0.958807i \(-0.591681\pi\)
−0.284058 + 0.958807i \(0.591681\pi\)
\(42\) 1.59811e7i 0.122282i
\(43\) 8.50972e7 + 1.19875e8i 0.578859 + 0.815428i
\(44\) 1.35261e8 0.820179
\(45\) 1.12548e8i 0.609925i
\(46\) −8.33726e7 + 4.81352e7i −0.404794 + 0.233708i
\(47\) 4.04928e8 1.76558 0.882792 0.469764i \(-0.155661\pi\)
0.882792 + 0.469764i \(0.155661\pi\)
\(48\) 5.87076e7 3.38948e7i 0.230403 0.133023i
\(49\) −9.18165e7 1.59031e8i −0.325042 0.562990i
\(50\) 3.63850e7 + 2.10069e7i 0.116432 + 0.0672221i
\(51\) 1.13260e8i 0.328266i
\(52\) −2.52603e8 + 4.37521e8i −0.664388 + 1.15075i
\(53\) 2.45372e8 + 4.24996e8i 0.586739 + 1.01626i 0.994656 + 0.103243i \(0.0329220\pi\)
−0.407917 + 0.913019i \(0.633745\pi\)
\(54\) 1.65581e8 0.360612
\(55\) −3.51690e8 + 2.03048e8i −0.698790 + 0.403446i
\(56\) 1.22082e8 2.11451e8i 0.221672 0.383946i
\(57\) −1.77455e7 + 3.07362e7i −0.0294927 + 0.0510829i
\(58\) 1.18238e8 2.04795e8i 0.180143 0.312017i
\(59\) −1.23153e8 −0.172260 −0.0861298 0.996284i \(-0.527450\pi\)
−0.0861298 + 0.996284i \(0.527450\pi\)
\(60\) −1.34098e8 + 2.32264e8i −0.172451 + 0.298693i
\(61\) −1.04601e9 6.03916e8i −1.23848 0.715035i −0.269694 0.962946i \(-0.586923\pi\)
−0.968783 + 0.247911i \(0.920256\pi\)
\(62\) 6.06409e8 3.50110e8i 0.661922 0.382161i
\(63\) −3.78491e8 + 2.18522e8i −0.381375 + 0.220187i
\(64\) 1.41518e8 0.131799
\(65\) 1.51679e9i 1.30725i
\(66\) −1.27482e8 2.20806e8i −0.101796 0.176316i
\(67\) 1.32468e8 + 2.29442e8i 0.0981155 + 0.169941i 0.910905 0.412617i \(-0.135385\pi\)
−0.812789 + 0.582558i \(0.802052\pi\)
\(68\) −3.93132e8 + 6.80924e8i −0.270392 + 0.468332i
\(69\) −7.82638e8 4.51856e8i −0.500398 0.288905i
\(70\) 3.33086e8i 0.198183i
\(71\) 8.12063e8 + 4.68845e8i 0.450088 + 0.259859i 0.707868 0.706345i \(-0.249657\pi\)
−0.257779 + 0.966204i \(0.582991\pi\)
\(72\) 9.34958e8 + 5.39799e8i 0.483203 + 0.278978i
\(73\) −3.43765e9 1.98473e9i −1.65824 0.957385i −0.973527 0.228571i \(-0.926595\pi\)
−0.684712 0.728814i \(-0.740072\pi\)
\(74\) −6.69218e8 1.15912e9i −0.301585 0.522360i
\(75\) 3.94393e8i 0.166197i
\(76\) −2.13374e8 + 1.23191e8i −0.0841537 + 0.0485862i
\(77\) 1.36567e9 + 7.88470e8i 0.504536 + 0.291294i
\(78\) 9.52307e8 0.329840
\(79\) −3.21487e8 + 5.56832e8i −0.104479 + 0.180963i −0.913525 0.406782i \(-0.866651\pi\)
0.809046 + 0.587745i \(0.199984\pi\)
\(80\) −1.22361e9 + 7.06451e8i −0.373416 + 0.215592i
\(81\) −5.20711e8 9.01898e8i −0.149338 0.258662i
\(82\) 8.61301e8i 0.232320i
\(83\) −2.64411e9 4.57973e9i −0.671257 1.16265i −0.977548 0.210714i \(-0.932421\pi\)
0.306290 0.951938i \(-0.400912\pi\)
\(84\) 1.04145e9 0.249023
\(85\) 2.36062e9i 0.532023i
\(86\) 1.56865e9 1.11356e9i 0.333453 0.236713i
\(87\) 2.21986e9 0.445379
\(88\) 3.89540e9i 0.738140i
\(89\) −1.78059e8 + 1.02802e8i −0.0318870 + 0.0184100i −0.515859 0.856674i \(-0.672527\pi\)
0.483972 + 0.875084i \(0.339194\pi\)
\(90\) −1.47278e9 −0.249417
\(91\) −5.10085e9 + 2.94498e9i −0.817402 + 0.471927i
\(92\) −3.13683e9 5.43316e9i −0.475940 0.824353i
\(93\) 5.69250e9 + 3.28657e9i 0.818254 + 0.472419i
\(94\) 5.29879e9i 0.722001i
\(95\) 3.69861e8 6.40617e8i 0.0477991 0.0827905i
\(96\) −1.98814e9 3.44356e9i −0.243832 0.422329i
\(97\) −1.89193e9 −0.220316 −0.110158 0.993914i \(-0.535136\pi\)
−0.110158 + 0.993914i \(0.535136\pi\)
\(98\) −2.08104e9 + 1.20149e9i −0.230224 + 0.132920i
\(99\) −3.48632e9 + 6.03848e9i −0.366599 + 0.634967i
\(100\) −1.36896e9 + 2.37111e9i −0.136896 + 0.237111i
\(101\) −7.92080e9 + 1.37192e10i −0.753637 + 1.30534i 0.192412 + 0.981314i \(0.438369\pi\)
−0.946049 + 0.324023i \(0.894964\pi\)
\(102\) 1.48210e9 0.134238
\(103\) −4.42109e9 + 7.65755e9i −0.381367 + 0.660547i −0.991258 0.131938i \(-0.957880\pi\)
0.609891 + 0.792485i \(0.291213\pi\)
\(104\) 1.26003e10 + 7.27477e9i 1.03565 + 0.597933i
\(105\) −2.70785e9 + 1.56338e9i −0.212167 + 0.122495i
\(106\) 5.56141e9 3.21088e9i 0.415581 0.239936i
\(107\) 2.72214e10 1.94085 0.970424 0.241408i \(-0.0776093\pi\)
0.970424 + 0.241408i \(0.0776093\pi\)
\(108\) 1.07904e10i 0.734378i
\(109\) −5.90835e8 1.02336e9i −0.0384002 0.0665111i 0.846187 0.532887i \(-0.178893\pi\)
−0.884587 + 0.466376i \(0.845560\pi\)
\(110\) 2.65704e9 + 4.60213e9i 0.164981 + 0.285756i
\(111\) 6.28211e9 1.08809e10i 0.372813 0.645731i
\(112\) 4.75148e9 + 2.74327e9i 0.269612 + 0.155660i
\(113\) 6.97068e9i 0.378340i 0.981944 + 0.189170i \(0.0605798\pi\)
−0.981944 + 0.189170i \(0.939420\pi\)
\(114\) 4.02207e8 + 2.32214e8i 0.0208894 + 0.0120605i
\(115\) 1.63121e10 + 9.41779e9i 0.810999 + 0.468231i
\(116\) 1.33459e10 + 7.70525e9i 0.635415 + 0.366857i
\(117\) −1.30216e10 2.25540e10i −0.593929 1.02871i
\(118\) 1.61155e9i 0.0704422i
\(119\) −7.93856e9 + 4.58333e9i −0.332665 + 0.192064i
\(120\) 6.68901e9 + 3.86190e9i 0.268816 + 0.155201i
\(121\) −7.78769e8 −0.0300249
\(122\) −7.90271e9 + 1.36879e10i −0.292400 + 0.506451i
\(123\) −7.00202e9 + 4.04262e9i −0.248713 + 0.143594i
\(124\) 2.28157e10 + 3.95179e10i 0.778261 + 1.34799i
\(125\) 3.32227e10i 1.08864i
\(126\) 2.85952e9 + 4.95284e9i 0.0900412 + 0.155956i
\(127\) −2.48685e10 −0.752715 −0.376358 0.926474i \(-0.622824\pi\)
−0.376358 + 0.926474i \(0.622824\pi\)
\(128\) 3.49985e10i 1.01859i
\(129\) 1.64155e10 + 7.52586e9i 0.459520 + 0.210672i
\(130\) −1.98484e10 −0.534575
\(131\) 5.73191e10i 1.48574i −0.669436 0.742870i \(-0.733464\pi\)
0.669436 0.742870i \(-0.266536\pi\)
\(132\) 1.43893e10 8.30766e9i 0.359062 0.207305i
\(133\) −2.87246e9 −0.0690233
\(134\) 3.00242e9 1.73345e9i 0.0694940 0.0401224i
\(135\) −1.61982e10 2.80560e10i −0.361241 0.625688i
\(136\) 1.96101e10 + 1.13219e10i 0.421487 + 0.243346i
\(137\) 2.67719e10i 0.554723i −0.960766 0.277362i \(-0.910540\pi\)
0.960766 0.277362i \(-0.0894600\pi\)
\(138\) −5.91289e9 + 1.02414e10i −0.118142 + 0.204628i
\(139\) 3.84198e10 + 6.65450e10i 0.740425 + 1.28245i 0.952302 + 0.305157i \(0.0987089\pi\)
−0.211877 + 0.977296i \(0.567958\pi\)
\(140\) −2.17063e10 −0.403594
\(141\) 4.30770e10 2.48705e10i 0.772947 0.446261i
\(142\) 6.13519e9 1.06265e10i 0.106264 0.184055i
\(143\) −4.69845e10 + 8.13795e10i −0.785731 + 1.36093i
\(144\) −1.21297e10 + 2.10092e10i −0.195901 + 0.339311i
\(145\) −4.62673e10 −0.721829
\(146\) −2.59717e10 + 4.49843e10i −0.391504 + 0.678104i
\(147\) −1.95352e10 1.12787e10i −0.284598 0.164313i
\(148\) 7.55366e10 4.36111e10i 1.06377 0.614169i
\(149\) 1.01669e10 5.86989e9i 0.138439 0.0799279i −0.429181 0.903219i \(-0.641198\pi\)
0.567620 + 0.823291i \(0.307864\pi\)
\(150\) 5.16094e9 0.0679630
\(151\) 3.40516e10i 0.433763i −0.976198 0.216882i \(-0.930411\pi\)
0.976198 0.216882i \(-0.0695885\pi\)
\(152\) 3.54782e9 + 6.14500e9i 0.0437263 + 0.0757362i
\(153\) −2.02658e10 3.51013e10i −0.241716 0.418665i
\(154\) 1.03177e10 1.78708e10i 0.119119 0.206320i
\(155\) −1.18646e11 6.85001e10i −1.32615 0.765654i
\(156\) 6.20591e10i 0.671711i
\(157\) −1.57978e11 9.12088e10i −1.65615 0.956177i −0.974468 0.224527i \(-0.927916\pi\)
−0.681680 0.731651i \(-0.738750\pi\)
\(158\) 7.28658e9 + 4.20691e9i 0.0740011 + 0.0427245i
\(159\) 5.22062e10 + 3.01413e10i 0.513732 + 0.296603i
\(160\) 4.14377e10 + 7.17721e10i 0.395180 + 0.684472i
\(161\) 7.31417e10i 0.676138i
\(162\) −1.18020e10 + 6.81391e9i −0.105775 + 0.0610690i
\(163\) 9.37862e10 + 5.41475e10i 0.815082 + 0.470588i 0.848717 0.528847i \(-0.177375\pi\)
−0.0336358 + 0.999434i \(0.510709\pi\)
\(164\) −5.61286e10 −0.473113
\(165\) −2.49423e10 + 4.32013e10i −0.203947 + 0.353246i
\(166\) −5.99293e10 + 3.46002e10i −0.475444 + 0.274498i
\(167\) −7.95923e10 1.37858e11i −0.612758 1.06133i −0.990773 0.135528i \(-0.956727\pi\)
0.378016 0.925799i \(-0.376607\pi\)
\(168\) 2.99928e10i 0.224115i
\(169\) −1.06560e11 1.84568e11i −0.772969 1.33882i
\(170\) −3.08905e10 −0.217561
\(171\) 1.27009e10i 0.0868670i
\(172\) 7.25677e10 + 1.02225e11i 0.482060 + 0.679068i
\(173\) −1.80024e10 −0.116172 −0.0580858 0.998312i \(-0.518500\pi\)
−0.0580858 + 0.998312i \(0.518500\pi\)
\(174\) 2.90486e10i 0.182129i
\(175\) −2.76436e10 + 1.59600e10i −0.168424 + 0.0972397i
\(176\) 8.75327e10 0.518331
\(177\) −1.31012e10 + 7.56398e9i −0.0754127 + 0.0435396i
\(178\) 1.34525e9 + 2.33004e9i 0.00752839 + 0.0130396i
\(179\) 7.30277e10 + 4.21626e10i 0.397395 + 0.229436i 0.685359 0.728205i \(-0.259645\pi\)
−0.287964 + 0.957641i \(0.592978\pi\)
\(180\) 9.59769e10i 0.507931i
\(181\) 1.12228e11 1.94384e11i 0.577708 1.00062i −0.418034 0.908431i \(-0.637281\pi\)
0.995742 0.0921876i \(-0.0293859\pi\)
\(182\) 3.85373e10 + 6.67486e10i 0.192985 + 0.334261i
\(183\) −1.48369e11 −0.722916
\(184\) −1.56471e11 + 9.03383e10i −0.741897 + 0.428334i
\(185\) −1.30935e11 + 2.26785e11i −0.604221 + 1.04654i
\(186\) 4.30073e10 7.44907e10i 0.193187 0.334609i
\(187\) −7.31229e10 + 1.26653e11i −0.319776 + 0.553868i
\(188\) 3.45307e11 1.47034
\(189\) −6.29001e10 + 1.08946e11i −0.260821 + 0.451755i
\(190\) −8.38297e9 4.83991e9i −0.0338556 0.0195465i
\(191\) 1.95795e11 1.13042e11i 0.770256 0.444708i −0.0627097 0.998032i \(-0.519974\pi\)
0.832966 + 0.553324i \(0.186641\pi\)
\(192\) 1.50550e10 8.69199e9i 0.0576997 0.0333129i
\(193\) 3.58661e11 1.33936 0.669680 0.742649i \(-0.266431\pi\)
0.669680 + 0.742649i \(0.266431\pi\)
\(194\) 2.47573e10i 0.0900938i
\(195\) −9.31608e10 1.61359e11i −0.330415 0.572296i
\(196\) −7.82976e10 1.35615e11i −0.270688 0.468845i
\(197\) −1.31327e10 + 2.27466e10i −0.0442613 + 0.0766628i −0.887307 0.461179i \(-0.847427\pi\)
0.843046 + 0.537841i \(0.180760\pi\)
\(198\) 7.90181e10 + 4.56211e10i 0.259657 + 0.149913i
\(199\) 6.09477e10i 0.195295i −0.995221 0.0976477i \(-0.968868\pi\)
0.995221 0.0976477i \(-0.0311318\pi\)
\(200\) 6.82860e10 + 3.94250e10i 0.213394 + 0.123203i
\(201\) 2.81844e10 + 1.62723e10i 0.0859070 + 0.0495985i
\(202\) 1.79527e11 + 1.03650e11i 0.533792 + 0.308185i
\(203\) 8.98318e10 + 1.55593e11i 0.260585 + 0.451347i
\(204\) 9.65839e10i 0.273372i
\(205\) 1.45939e11 8.42581e10i 0.403091 0.232725i
\(206\) 1.00205e11 + 5.78534e10i 0.270118 + 0.155953i
\(207\) 3.23405e11 0.850932
\(208\) −1.63470e11 + 2.83138e11i −0.419875 + 0.727246i
\(209\) −3.96878e10 + 2.29138e10i −0.0995234 + 0.0574599i
\(210\) 2.04580e10 + 3.54343e10i 0.0500918 + 0.0867616i
\(211\) 8.10416e11i 1.93774i 0.247570 + 0.968870i \(0.420368\pi\)
−0.247570 + 0.968870i \(0.579632\pi\)
\(212\) 2.09244e11 + 3.62421e11i 0.488622 + 0.846319i
\(213\) 1.15185e11 0.262723
\(214\) 3.56213e11i 0.793671i
\(215\) −3.42138e11 1.56857e11i −0.744748 0.341439i
\(216\) 3.10755e11 0.660922
\(217\) 5.31994e11i 1.10563i
\(218\) −1.33914e10 + 7.73153e9i −0.0271984 + 0.0157030i
\(219\) −4.87605e11 −0.967937
\(220\) −2.99908e11 + 1.73152e11i −0.581935 + 0.335981i
\(221\) −2.73118e11 4.73054e11i −0.518071 0.897325i
\(222\) −1.42385e11 8.22063e10i −0.264059 0.152454i
\(223\) 3.14234e11i 0.569809i −0.958556 0.284904i \(-0.908038\pi\)
0.958556 0.284904i \(-0.0919619\pi\)
\(224\) 1.60909e11 2.78703e11i 0.285326 0.494199i
\(225\) −7.05693e10 1.22230e11i −0.122378 0.211965i
\(226\) 9.12167e10 0.154715
\(227\) 6.30307e11 3.63908e11i 1.04574 0.603757i 0.124285 0.992247i \(-0.460336\pi\)
0.921453 + 0.388489i \(0.127003\pi\)
\(228\) −1.51327e10 + 2.62107e10i −0.0245608 + 0.0425406i
\(229\) −7.42012e10 + 1.28520e11i −0.117824 + 0.204077i −0.918905 0.394479i \(-0.870925\pi\)
0.801081 + 0.598556i \(0.204259\pi\)
\(230\) 1.23239e11 2.13456e11i 0.191474 0.331642i
\(231\) 1.93710e11 0.294505
\(232\) 2.21905e11 3.84351e11i 0.330162 0.571858i
\(233\) −2.48436e11 1.43434e11i −0.361772 0.208869i 0.308086 0.951359i \(-0.400312\pi\)
−0.669858 + 0.742490i \(0.733645\pi\)
\(234\) −2.95137e11 + 1.70397e11i −0.420673 + 0.242875i
\(235\) −8.97829e11 + 5.18362e11i −1.25272 + 0.723259i
\(236\) −1.05020e11 −0.143454
\(237\) 7.89824e10i 0.105630i
\(238\) 5.99764e10 + 1.03882e11i 0.0785409 + 0.136037i
\(239\) 1.33505e11 + 2.31238e11i 0.171202 + 0.296531i 0.938840 0.344352i \(-0.111902\pi\)
−0.767638 + 0.640883i \(0.778568\pi\)
\(240\) −8.67799e10 + 1.50307e11i −0.108984 + 0.188766i
\(241\) 1.19409e12 + 6.89407e11i 1.46876 + 0.847990i 0.999387 0.0350092i \(-0.0111461\pi\)
0.469375 + 0.882999i \(0.344479\pi\)
\(242\) 1.01908e10i 0.0122781i
\(243\) −7.57862e11 4.37552e11i −0.894455 0.516414i
\(244\) −8.92001e11 5.14997e11i −1.03137 0.595464i
\(245\) 4.07162e11 + 2.35075e11i 0.461250 + 0.266303i
\(246\) 5.29008e10 + 9.16268e10i 0.0587201 + 0.101706i
\(247\) 1.71168e11i 0.186182i
\(248\) 1.13808e12 6.57074e11i 1.21315 0.700415i
\(249\) −5.62571e11 3.24800e11i −0.587734 0.339328i
\(250\) −4.34745e11 −0.445179
\(251\) −2.71066e10 + 4.69500e10i −0.0272086 + 0.0471267i −0.879309 0.476252i \(-0.841995\pi\)
0.852100 + 0.523378i \(0.175328\pi\)
\(252\) −3.22763e11 + 1.86347e11i −0.317600 + 0.183366i
\(253\) −5.83455e11 1.01057e12i −0.562865 0.974911i
\(254\) 3.25423e11i 0.307808i
\(255\) −1.44988e11 2.51127e11i −0.134472 0.232912i
\(256\) −3.13068e11 −0.284734
\(257\) 1.05944e12i 0.944953i 0.881343 + 0.472477i \(0.156640\pi\)
−0.881343 + 0.472477i \(0.843360\pi\)
\(258\) 9.84817e10 2.14809e11i 0.0861504 0.187912i
\(259\) 1.01688e12 0.872512
\(260\) 1.29346e12i 1.08865i
\(261\) −6.87974e11 + 3.97202e11i −0.568028 + 0.327951i
\(262\) −7.50064e11 −0.607564
\(263\) 1.61701e12 9.33582e11i 1.28509 0.741949i 0.307318 0.951607i \(-0.400568\pi\)
0.977775 + 0.209658i \(0.0672352\pi\)
\(264\) −2.39254e11 4.14400e11i −0.186569 0.323147i
\(265\) −1.08811e12 6.28218e11i −0.832610 0.480707i
\(266\) 3.75883e10i 0.0282257i
\(267\) −1.26282e10 + 2.18726e10i −0.00930644 + 0.0161192i
\(268\) 1.12964e11 + 1.95659e11i 0.0817082 + 0.141523i
\(269\) 9.77943e11 0.694308 0.347154 0.937808i \(-0.387148\pi\)
0.347154 + 0.937808i \(0.387148\pi\)
\(270\) −3.67135e11 + 2.11965e11i −0.255863 + 0.147722i
\(271\) −6.77287e11 + 1.17310e12i −0.463368 + 0.802577i −0.999126 0.0417944i \(-0.986693\pi\)
0.535758 + 0.844371i \(0.320026\pi\)
\(272\) −2.54411e11 + 4.40653e11i −0.170880 + 0.295973i
\(273\) −3.61759e11 + 6.26585e11i −0.238565 + 0.413206i
\(274\) −3.50331e11 −0.226843
\(275\) −2.54628e11 + 4.41029e11i −0.161898 + 0.280416i
\(276\) −6.67405e11 3.85326e11i −0.416719 0.240593i
\(277\) 1.29588e12 7.48179e11i 0.794635 0.458782i −0.0469570 0.998897i \(-0.514952\pi\)
0.841592 + 0.540114i \(0.181619\pi\)
\(278\) 8.70793e11 5.02752e11i 0.524434 0.302782i
\(279\) −2.35228e12 −1.39145
\(280\) 6.25123e11i 0.363225i
\(281\) −1.51272e12 2.62010e12i −0.863427 1.49550i −0.868600 0.495514i \(-0.834980\pi\)
0.00517265 0.999987i \(-0.498353\pi\)
\(282\) −3.25450e11 5.63695e11i −0.182490 0.316081i
\(283\) 9.14062e11 1.58320e12i 0.503551 0.872176i −0.496441 0.868071i \(-0.665360\pi\)
0.999992 0.00410494i \(-0.00130665\pi\)
\(284\) 6.92497e11 + 3.99813e11i 0.374823 + 0.216404i
\(285\) 9.08668e10i 0.0483260i
\(286\) 1.06491e12 + 6.14828e11i 0.556524 + 0.321309i
\(287\) −5.66706e11 3.27188e11i −0.291037 0.168030i
\(288\) 1.23232e12 + 7.11480e11i 0.621958 + 0.359087i
\(289\) 5.82938e11 + 1.00968e12i 0.289156 + 0.500834i
\(290\) 6.05443e11i 0.295178i
\(291\) −2.01267e11 + 1.16201e11i −0.0964510 + 0.0556860i
\(292\) −2.93150e12 1.69250e12i −1.38094 0.797287i
\(293\) 3.77202e11 0.174677 0.0873386 0.996179i \(-0.472164\pi\)
0.0873386 + 0.996179i \(0.472164\pi\)
\(294\) −1.47590e11 + 2.55633e11i −0.0671924 + 0.116381i
\(295\) 2.73061e11 1.57652e11i 0.122222 0.0705649i
\(296\) −1.25596e12 2.17539e12i −0.552737 0.957369i
\(297\) 2.00703e12i 0.868504i
\(298\) −7.68120e10 1.33042e11i −0.0326849 0.0566120i
\(299\) 4.35847e12 1.82380
\(300\) 3.36324e11i 0.138405i
\(301\) 1.36791e11 + 1.45513e12i 0.0553636 + 0.588940i
\(302\) −4.45591e11 −0.177379
\(303\) 1.94597e12i 0.761944i
\(304\) −1.38083e11 + 7.97222e10i −0.0531829 + 0.0307051i
\(305\) 3.09238e12 1.17164
\(306\) −4.59328e11 + 2.65193e11i −0.171205 + 0.0988451i
\(307\) 1.90022e11 + 3.29128e11i 0.0696806 + 0.120690i 0.898761 0.438439i \(-0.144469\pi\)
−0.829080 + 0.559130i \(0.811135\pi\)
\(308\) 1.16459e12 + 6.72378e11i 0.420166 + 0.242583i
\(309\) 1.08617e12i 0.385571i
\(310\) −8.96376e11 + 1.55257e12i −0.313099 + 0.542304i
\(311\) 1.63826e12 + 2.83755e12i 0.563094 + 0.975307i 0.997224 + 0.0744572i \(0.0237224\pi\)
−0.434130 + 0.900850i \(0.642944\pi\)
\(312\) 1.78725e12 0.604524
\(313\) −8.43212e11 + 4.86829e11i −0.280682 + 0.162052i −0.633732 0.773552i \(-0.718478\pi\)
0.353050 + 0.935604i \(0.385145\pi\)
\(314\) −1.19354e12 + 2.06727e12i −0.391010 + 0.677249i
\(315\) 5.59474e11 9.69038e11i 0.180396 0.312455i
\(316\) −2.74152e11 + 4.74845e11i −0.0870074 + 0.150701i
\(317\) −2.70289e12 −0.844367 −0.422184 0.906510i \(-0.638736\pi\)
−0.422184 + 0.906510i \(0.638736\pi\)
\(318\) 3.94422e11 6.83159e11i 0.121290 0.210081i
\(319\) 2.48235e12 + 1.43319e12i 0.751466 + 0.433859i
\(320\) −3.13782e11 + 1.81162e11i −0.0935144 + 0.0539906i
\(321\) 2.89586e12 1.67193e12i 0.849675 0.490560i
\(322\) −9.57115e11 −0.276493
\(323\) 2.66393e11i 0.0757722i
\(324\) −4.44043e11 7.69105e11i −0.124366 0.215407i
\(325\) −9.51049e11 1.64727e12i −0.262293 0.454304i
\(326\) 7.08562e11 1.22727e12i 0.192438 0.333312i
\(327\) −1.25708e11 7.25777e10i −0.0336221 0.0194117i
\(328\) 1.61646e12i 0.425790i
\(329\) 3.48642e12 + 2.01289e12i 0.904483 + 0.522203i
\(330\) 5.65322e11 + 3.26389e11i 0.144453 + 0.0834000i
\(331\) 1.12612e11 + 6.50168e10i 0.0283430 + 0.0163639i 0.514105 0.857728i \(-0.328124\pi\)
−0.485762 + 0.874091i \(0.661458\pi\)
\(332\) −2.25480e12 3.90543e12i −0.559007 0.968229i
\(333\) 4.49626e12i 1.09807i
\(334\) −1.80398e12 + 1.04153e12i −0.434009 + 0.250575i
\(335\) −5.87432e11 3.39154e11i −0.139230 0.0803846i
\(336\) 6.73961e11 0.157376
\(337\) 1.43438e12 2.48443e12i 0.330002 0.571579i −0.652510 0.757780i \(-0.726284\pi\)
0.982512 + 0.186200i \(0.0596174\pi\)
\(338\) −2.41521e12 + 1.39442e12i −0.547484 + 0.316090i
\(339\) 4.28136e11 + 7.41553e11i 0.0956276 + 0.165632i
\(340\) 2.01305e12i 0.443056i
\(341\) 4.24374e12 + 7.35038e12i 0.920401 + 1.59418i
\(342\) −1.66201e11 −0.0355226
\(343\) 4.63402e12i 0.976085i
\(344\) 2.94399e12 2.08989e12i 0.611145 0.433842i
\(345\) 2.31375e12 0.473392
\(346\) 2.35575e11i 0.0475061i
\(347\) 1.60577e11 9.27094e10i 0.0319181 0.0184279i −0.483956 0.875092i \(-0.660801\pi\)
0.515874 + 0.856664i \(0.327467\pi\)
\(348\) 1.89301e12 0.370901
\(349\) −3.98983e12 + 2.30353e12i −0.770598 + 0.444905i −0.833088 0.553141i \(-0.813429\pi\)
0.0624901 + 0.998046i \(0.480096\pi\)
\(350\) 2.08849e11 + 3.61738e11i 0.0397643 + 0.0688737i
\(351\) −6.49204e12 3.74818e12i −1.21856 0.703534i
\(352\) 5.13432e12i 0.950102i
\(353\) 4.88713e12 8.46477e12i 0.891622 1.54433i 0.0536916 0.998558i \(-0.482901\pi\)
0.837930 0.545777i \(-0.183765\pi\)
\(354\) 9.89805e10 + 1.71439e11i 0.0178046 + 0.0308386i
\(355\) −2.40074e12 −0.425797
\(356\) −1.51842e11 + 8.76660e10i −0.0265547 + 0.0153314i
\(357\) −5.63013e11 + 9.75167e11i −0.0970906 + 0.168166i
\(358\) 5.51730e11 9.55624e11i 0.0938234 0.162507i
\(359\) −4.83061e11 + 8.36686e11i −0.0810083 + 0.140311i −0.903683 0.428201i \(-0.859147\pi\)
0.822675 + 0.568512i \(0.192481\pi\)
\(360\) −2.76406e12 −0.457125
\(361\) −3.02379e12 + 5.23737e12i −0.493192 + 0.854234i
\(362\) −2.54367e12 1.46859e12i −0.409183 0.236242i
\(363\) −8.28469e10 + 4.78317e10i −0.0131445 + 0.00758897i
\(364\) −4.34982e12 + 2.51137e12i −0.680713 + 0.393010i
\(365\) 1.01629e13 1.56874
\(366\) 1.94152e12i 0.295622i
\(367\) 7.52445e11 + 1.30327e12i 0.113017 + 0.195751i 0.916985 0.398921i \(-0.130615\pi\)
−0.803968 + 0.594672i \(0.797282\pi\)
\(368\) −2.02997e12 3.51601e12i −0.300781 0.520969i
\(369\) 1.44670e12 2.50576e12i 0.211469 0.366275i
\(370\) 2.96766e12 + 1.71338e12i 0.427962 + 0.247084i
\(371\) 4.87895e12i 0.694155i
\(372\) 4.85435e12 + 2.80266e12i 0.681423 + 0.393419i
\(373\) −3.49361e12 2.01704e12i −0.483872 0.279364i 0.238157 0.971227i \(-0.423457\pi\)
−0.722029 + 0.691863i \(0.756790\pi\)
\(374\) 1.65735e12 + 9.56870e11i 0.226493 + 0.130766i
\(375\) −2.04053e12 3.53430e12i −0.275161 0.476592i
\(376\) 9.94457e12i 1.32327i
\(377\) −9.27171e12 + 5.35302e12i −1.21746 + 0.702898i
\(378\) 1.42565e12 + 8.23097e11i 0.184736 + 0.106658i
\(379\) −2.40555e12 −0.307622 −0.153811 0.988100i \(-0.549155\pi\)
−0.153811 + 0.988100i \(0.549155\pi\)
\(380\) 3.15403e11 5.46295e11i 0.0398060 0.0689460i
\(381\) −2.64556e12 + 1.52741e12i −0.329528 + 0.190253i
\(382\) −1.47925e12 2.56213e12i −0.181854 0.314981i
\(383\) 5.61584e12i 0.681430i 0.940167 + 0.340715i \(0.110669\pi\)
−0.940167 + 0.340715i \(0.889331\pi\)
\(384\) −2.14960e12 3.72321e12i −0.257455 0.445924i
\(385\) −4.03739e12 −0.477306
\(386\) 4.69336e12i 0.547705i
\(387\) −6.43406e12 + 6.04837e11i −0.741191 + 0.0696761i
\(388\) −1.61336e12 −0.183474
\(389\) 1.37001e13i 1.53807i −0.639208 0.769034i \(-0.720738\pi\)
0.639208 0.769034i \(-0.279262\pi\)
\(390\) −2.11151e12 + 1.21908e12i −0.234029 + 0.135117i
\(391\) 6.78318e12 0.742249
\(392\) −3.90562e12 + 2.25491e12i −0.421949 + 0.243612i
\(393\) −3.52051e12 6.09771e12i −0.375529 0.650435i
\(394\) 2.97656e11 + 1.71852e11i 0.0313497 + 0.0180998i
\(395\) 1.64619e12i 0.171196i
\(396\) −2.97300e12 + 5.14939e12i −0.305295 + 0.528786i
\(397\) 2.97810e11 + 5.15822e11i 0.0301986 + 0.0523055i 0.880730 0.473619i \(-0.157053\pi\)
−0.850531 + 0.525925i \(0.823719\pi\)
\(398\) −7.97547e11 −0.0798622
\(399\) −3.05578e11 + 1.76425e11i −0.0302174 + 0.0174460i
\(400\) −8.85909e11 + 1.53444e12i −0.0865145 + 0.149848i
\(401\) 6.98200e12 1.20932e13i 0.673377 1.16632i −0.303564 0.952811i \(-0.598177\pi\)
0.976941 0.213512i \(-0.0684901\pi\)
\(402\) 2.12935e11 3.68815e11i 0.0202823 0.0351300i
\(403\) −3.17012e13 −2.98230
\(404\) −6.75456e12 + 1.16992e13i −0.627611 + 1.08705i
\(405\) 2.30910e12 + 1.33316e12i 0.211918 + 0.122351i
\(406\) 2.03606e12 1.17552e12i 0.184569 0.106561i
\(407\) 1.40499e13 8.11171e12i 1.25806 0.726341i
\(408\) 2.78154e12 0.246028
\(409\) 8.93432e12i 0.780630i 0.920681 + 0.390315i \(0.127634\pi\)
−0.920681 + 0.390315i \(0.872366\pi\)
\(410\) −1.10258e12 1.90973e12i −0.0951681 0.164836i
\(411\) −1.64432e12 2.84805e12i −0.140209 0.242850i
\(412\) −3.77014e12 + 6.53007e12i −0.317593 + 0.550088i
\(413\) −1.06034e12 6.12188e11i −0.0882461 0.0509489i
\(414\) 4.23200e12i 0.347972i
\(415\) 1.17254e13 + 6.76963e12i 0.952545 + 0.549952i
\(416\) 1.66078e13 + 9.58849e12i 1.33304 + 0.769633i
\(417\) 8.17434e12 + 4.71946e12i 0.648294 + 0.374293i
\(418\) 2.99844e11 + 5.19345e11i 0.0234971 + 0.0406982i
\(419\) 1.25742e13i 0.973669i −0.873494 0.486834i \(-0.838152\pi\)
0.873494 0.486834i \(-0.161848\pi\)
\(420\) −2.30915e12 + 1.33319e12i −0.176688 + 0.102011i
\(421\) 2.87813e11 + 1.66169e11i 0.0217621 + 0.0125643i 0.510842 0.859675i \(-0.329334\pi\)
−0.489079 + 0.872239i \(0.662667\pi\)
\(422\) 1.06049e13 0.792401
\(423\) −8.90022e12 + 1.54156e13i −0.657202 + 1.13831i
\(424\) 1.04374e13 6.02606e12i 0.761666 0.439748i
\(425\) −1.48014e12 2.56367e12i −0.106747 0.184892i
\(426\) 1.50728e12i 0.107435i
\(427\) −6.00410e12 1.03994e13i −0.422969 0.732604i
\(428\) 2.32134e13 1.61629
\(429\) 1.15431e13i 0.794392i
\(430\) −2.05260e12 + 4.47714e12i −0.139625 + 0.304550i
\(431\) −1.51191e13 −1.01657 −0.508287 0.861188i \(-0.669721\pi\)
−0.508287 + 0.861188i \(0.669721\pi\)
\(432\) 6.98291e12i 0.464107i
\(433\) −3.27770e12 + 1.89238e12i −0.215343 + 0.124328i −0.603792 0.797142i \(-0.706344\pi\)
0.388449 + 0.921470i \(0.373011\pi\)
\(434\) 6.96155e12 0.452124
\(435\) −4.92200e12 + 2.84172e12i −0.316006 + 0.182446i
\(436\) −5.03842e11 8.72680e11i −0.0319788 0.0553889i
\(437\) 1.84080e12 + 1.06279e12i 0.115505 + 0.0666866i
\(438\) 6.38068e12i 0.395819i
\(439\) 6.98893e12 1.21052e13i 0.428635 0.742418i −0.568117 0.822948i \(-0.692328\pi\)
0.996752 + 0.0805297i \(0.0256612\pi\)
\(440\) 4.98664e12 + 8.63711e12i 0.302374 + 0.523727i
\(441\) 8.07242e12 0.483961
\(442\) −6.19028e12 + 3.57396e12i −0.366943 + 0.211855i
\(443\) 1.96192e12 3.39814e12i 0.114991 0.199169i −0.802785 0.596268i \(-0.796650\pi\)
0.917776 + 0.397099i \(0.129983\pi\)
\(444\) 5.35715e12 9.27886e12i 0.310469 0.537749i
\(445\) 2.63202e11 4.55879e11i 0.0150830 0.0261246i
\(446\) −4.11200e12 −0.233012
\(447\) 7.21052e11 1.24890e12i 0.0404044 0.0699825i
\(448\) 1.21847e12 + 7.03483e11i 0.0675187 + 0.0389820i
\(449\) 1.61150e13 9.30398e12i 0.883075 0.509844i 0.0114039 0.999935i \(-0.496370\pi\)
0.871671 + 0.490091i \(0.163037\pi\)
\(450\) −1.59947e12 + 9.23453e11i −0.0866788 + 0.0500440i
\(451\) −1.04400e13 −0.559522
\(452\) 5.94433e12i 0.315073i
\(453\) −2.09143e12 3.62247e12i −0.109636 0.189895i
\(454\) −4.76202e12 8.24805e12i −0.246895 0.427634i
\(455\) 7.53994e12 1.30596e13i 0.386644 0.669686i
\(456\) 7.54847e11 + 4.35811e11i 0.0382855 + 0.0221042i
\(457\) 3.24496e13i 1.62790i 0.580935 + 0.813950i \(0.302687\pi\)
−0.580935 + 0.813950i \(0.697313\pi\)
\(458\) 1.68179e12 + 9.70980e11i 0.0834533 + 0.0481818i
\(459\) −1.01037e13 5.83338e12i −0.495926 0.286323i
\(460\) 1.39103e13 + 8.03114e12i 0.675381 + 0.389931i
\(461\) −4.12666e12 7.14759e12i −0.198196 0.343285i 0.749748 0.661724i \(-0.230175\pi\)
−0.947943 + 0.318439i \(0.896842\pi\)
\(462\) 2.53485e12i 0.120432i
\(463\) 2.46889e13 1.42541e13i 1.16037 0.669940i 0.208977 0.977921i \(-0.432987\pi\)
0.951393 + 0.307981i \(0.0996533\pi\)
\(464\) 8.63666e12 + 4.98638e12i 0.401565 + 0.231844i
\(465\) −1.68290e13 −0.774093
\(466\) −1.87695e12 + 3.25097e12i −0.0854128 + 0.147939i
\(467\) 1.33632e13 7.71526e12i 0.601626 0.347349i −0.168055 0.985778i \(-0.553749\pi\)
0.769681 + 0.638429i \(0.220415\pi\)
\(468\) −1.11043e13 1.92332e13i −0.494610 0.856689i
\(469\) 2.63398e12i 0.116078i
\(470\) 6.78317e12 + 1.17488e13i 0.295763 + 0.512276i
\(471\) −2.24080e13 −0.966717
\(472\) 3.02449e12i 0.129105i
\(473\) 1.34977e13 + 1.90139e13i 0.570103 + 0.803093i
\(474\) 1.03355e12 0.0431955
\(475\) 9.27630e11i 0.0383625i
\(476\) −6.76971e12 + 3.90849e12i −0.277035 + 0.159946i
\(477\) −2.15729e13 −0.873606
\(478\) 3.02593e12 1.74702e12i 0.121261 0.0700098i
\(479\) 8.21482e12 + 1.42285e13i 0.325777 + 0.564263i 0.981669 0.190592i \(-0.0610407\pi\)
−0.655892 + 0.754855i \(0.727707\pi\)
\(480\) 8.81643e12 + 5.09017e12i 0.346008 + 0.199768i
\(481\) 6.05953e13i 2.35350i
\(482\) 9.02143e12 1.56256e13i 0.346769 0.600621i
\(483\) −4.49233e12 7.78095e12i −0.170898 0.296004i
\(484\) −6.64105e11 −0.0250040
\(485\) 4.19489e12 2.42192e12i 0.156319 0.0902508i
\(486\) −5.72570e12 + 9.91720e12i −0.211177 + 0.365770i
\(487\) 1.42517e13 2.46847e13i 0.520263 0.901122i −0.479459 0.877564i \(-0.659167\pi\)
0.999722 0.0235581i \(-0.00749948\pi\)
\(488\) −1.48315e13 + 2.56889e13i −0.535903 + 0.928211i
\(489\) 1.33029e13 0.475775
\(490\) 3.07614e12 5.32802e12i 0.108899 0.188619i
\(491\) 8.44602e12 + 4.87631e12i 0.295968 + 0.170877i 0.640630 0.767850i \(-0.278673\pi\)
−0.344662 + 0.938727i \(0.612007\pi\)
\(492\) −5.97106e12 + 3.44739e12i −0.207122 + 0.119582i
\(493\) −1.44298e13 + 8.33102e12i −0.495478 + 0.286064i
\(494\) −2.23987e12 −0.0761356
\(495\) 1.78518e13i 0.600698i
\(496\) 1.47649e13 + 2.55736e13i 0.491840 + 0.851891i
\(497\) 4.66123e12 + 8.07348e12i 0.153716 + 0.266244i
\(498\) −4.25026e12 + 7.36167e12i −0.138762 + 0.240342i
\(499\) 3.11884e13 + 1.80066e13i 1.00807 + 0.582008i 0.910625 0.413233i \(-0.135600\pi\)
0.0974427 + 0.995241i \(0.468934\pi\)
\(500\) 2.83311e13i 0.906596i
\(501\) −1.69344e13 9.77706e12i −0.536513 0.309756i
\(502\) 6.14377e11 + 3.54710e11i 0.0192715 + 0.0111264i
\(503\) −1.53757e13 8.87718e12i −0.477524 0.275699i 0.241860 0.970311i \(-0.422243\pi\)
−0.719384 + 0.694612i \(0.755576\pi\)
\(504\) 5.36665e12 + 9.29531e12i 0.165025 + 0.285832i
\(505\) 4.05588e13i 1.23489i
\(506\) −1.32241e13 + 7.63495e12i −0.398671 + 0.230173i
\(507\) −2.26722e13 1.30898e13i −0.676789 0.390744i
\(508\) −2.12069e13 −0.626843
\(509\) −1.66350e13 + 2.88126e13i −0.486893 + 0.843323i −0.999886 0.0150692i \(-0.995203\pi\)
0.512993 + 0.858392i \(0.328536\pi\)
\(510\) −3.28619e12 + 1.89728e12i −0.0952448 + 0.0549896i
\(511\) −1.97321e13 3.41769e13i −0.566328 0.980908i
\(512\) 3.17417e13i 0.902155i
\(513\) −1.82794e12 3.16609e12i −0.0514489 0.0891121i
\(514\) 1.38636e13 0.386420
\(515\) 2.26384e13i 0.624897i
\(516\) 1.39985e13 + 6.41777e12i 0.382677 + 0.175443i
\(517\) 6.42275e13 1.73888
\(518\) 1.33067e13i 0.356797i
\(519\) −1.91513e12 + 1.10570e12i −0.0508582 + 0.0293630i
\(520\) −3.72507e13 −0.979756
\(521\) −3.89569e13 + 2.24918e13i −1.01484 + 0.585916i −0.912604 0.408845i \(-0.865932\pi\)
−0.102232 + 0.994761i \(0.532598\pi\)
\(522\) 5.19770e12 + 9.00268e12i 0.134109 + 0.232284i
\(523\) −3.96111e13 2.28695e13i −1.01230 0.584451i −0.100435 0.994944i \(-0.532023\pi\)
−0.911864 + 0.410493i \(0.865357\pi\)
\(524\) 4.88796e13i 1.23729i
\(525\) −1.96052e12 + 3.39572e12i −0.0491558 + 0.0851403i
\(526\) −1.22166e13 2.11598e13i −0.303405 0.525513i
\(527\) −4.93373e13 −1.21373
\(528\) 9.31189e12 5.37622e12i 0.226918 0.131011i
\(529\) −6.34856e12 + 1.09960e13i −0.153249 + 0.265434i
\(530\) −8.22071e12 + 1.42387e13i −0.196576 + 0.340479i
\(531\) 2.70686e12 4.68843e12i 0.0641201 0.111059i
\(532\) −2.44953e12 −0.0574809
\(533\) 1.94969e13 3.37697e13i 0.453242 0.785039i
\(534\) 2.86220e11 + 1.65249e11i 0.00659164 + 0.00380569i
\(535\) −6.03568e13 + 3.48470e13i −1.37708 + 0.795055i
\(536\) 5.63483e12 3.25327e12i 0.127367 0.0735353i
\(537\) 1.03584e13 0.231965
\(538\) 1.27971e13i 0.283923i
\(539\) −1.45634e13 2.52246e13i −0.320126 0.554474i
\(540\) −1.38132e13 2.39251e13i −0.300833 0.521058i
\(541\) 3.84086e13 6.65257e13i 0.828787 1.43550i −0.0702041 0.997533i \(-0.522365\pi\)
0.898991 0.437968i \(-0.144302\pi\)
\(542\) 1.53509e13 + 8.86282e12i 0.328198 + 0.189485i
\(543\) 2.75720e13i 0.584075i
\(544\) 2.58470e13 + 1.49228e13i 0.542520 + 0.313224i
\(545\) 2.62007e12 + 1.51270e12i 0.0544917 + 0.0314608i
\(546\) 8.19934e12 + 4.73389e12i 0.168972 + 0.0975563i
\(547\) 1.33606e13 + 2.31413e13i 0.272829 + 0.472553i 0.969585 0.244755i \(-0.0787074\pi\)
−0.696756 + 0.717308i \(0.745374\pi\)
\(548\) 2.28301e13i 0.461960i
\(549\) 4.59823e13 2.65479e13i 0.921995 0.532314i
\(550\) 5.77120e12 + 3.33200e12i 0.114671 + 0.0662052i
\(551\) −5.22121e12 −0.102805
\(552\) −1.10971e13 + 1.92207e13i −0.216528 + 0.375037i
\(553\) −5.53599e12 + 3.19621e12i −0.107046 + 0.0618030i
\(554\) −9.79050e12 1.69576e13i −0.187610 0.324950i
\(555\) 3.21678e13i 0.610881i
\(556\) 3.27630e13 + 5.67471e13i 0.616608 + 1.06800i
\(557\) 2.18355e13 0.407274 0.203637 0.979046i \(-0.434724\pi\)
0.203637 + 0.979046i \(0.434724\pi\)
\(558\) 3.07814e13i 0.569006i
\(559\) −8.67106e13 + 8.15129e12i −1.58860 + 0.149337i
\(560\) −1.40470e13 −0.255061
\(561\) 1.79647e13i 0.323300i
\(562\) −3.42860e13 + 1.97951e13i −0.611555 + 0.353082i
\(563\) 2.99722e13 0.529879 0.264940 0.964265i \(-0.414648\pi\)
0.264940 + 0.964265i \(0.414648\pi\)
\(564\) 3.67344e13 2.12086e13i 0.643692 0.371635i
\(565\) −8.92340e12 1.54558e13i −0.154984 0.268441i
\(566\) −2.07174e13 1.19612e13i −0.356659 0.205917i
\(567\) 1.03538e13i 0.176678i
\(568\) 1.15143e13 1.99434e13i 0.194758 0.337331i
\(569\) 1.55090e13 + 2.68623e13i 0.260029 + 0.450383i 0.966249 0.257609i \(-0.0829346\pi\)
−0.706220 + 0.707992i \(0.749601\pi\)
\(570\) −1.18906e12 −0.0197620
\(571\) −4.08649e13 + 2.35934e13i −0.673241 + 0.388696i −0.797303 0.603579i \(-0.793741\pi\)
0.124063 + 0.992274i \(0.460408\pi\)
\(572\) −4.00666e13 + 6.93974e13i −0.654338 + 1.13335i
\(573\) 1.38860e13 2.40513e13i 0.224805 0.389373i
\(574\) −4.28151e12 + 7.41579e12i −0.0687127 + 0.119014i
\(575\) 2.36203e13 0.375791
\(576\) −3.11054e12 + 5.38761e12i −0.0490595 + 0.0849735i
\(577\) 9.02527e13 + 5.21074e13i 1.41118 + 0.814743i 0.995499 0.0947690i \(-0.0302113\pi\)
0.415677 + 0.909512i \(0.363545\pi\)
\(578\) 1.32124e13 7.62819e12i 0.204806 0.118245i
\(579\) 3.81550e13 2.20288e13i 0.586353 0.338531i
\(580\) −3.94550e13 −0.601122
\(581\) 5.25752e13i 0.794146i
\(582\) 1.52058e12 + 2.63373e12i 0.0227717 + 0.0394417i
\(583\) 3.89196e13 + 6.74107e13i 0.577864 + 1.00089i
\(584\) −4.87427e13 + 8.44248e13i −0.717539 + 1.24281i
\(585\) 5.77444e13 + 3.33387e13i 0.842812 + 0.486598i
\(586\) 4.93598e12i 0.0714308i
\(587\) 7.84533e12 + 4.52950e12i 0.112569 + 0.0649920i 0.555228 0.831698i \(-0.312631\pi\)
−0.442658 + 0.896690i \(0.645964\pi\)
\(588\) −1.66589e13 9.61802e12i −0.237006 0.136836i
\(589\) −1.33890e13 7.73015e12i −0.188874 0.109046i
\(590\) −2.06300e12 3.57321e12i −0.0288561 0.0499803i
\(591\) 3.22643e12i 0.0447491i
\(592\) 4.88828e13 2.82225e13i 0.672276 0.388138i
\(593\) 3.70475e13 + 2.13894e13i 0.505226 + 0.291692i 0.730869 0.682518i \(-0.239115\pi\)
−0.225643 + 0.974210i \(0.572448\pi\)
\(594\) 2.62635e13 0.355157
\(595\) 1.17346e13 2.03249e13i 0.157356 0.272548i
\(596\) 8.66999e12 5.00562e12i 0.115289 0.0665620i
\(597\) −3.74338e12 6.48373e12i −0.0493620 0.0854975i
\(598\) 5.70339e13i 0.745809i
\(599\) −1.30774e13 2.26508e13i −0.169585 0.293730i 0.768689 0.639623i \(-0.220909\pi\)
−0.938274 + 0.345893i \(0.887576\pi\)
\(600\) 9.68586e12 0.124561
\(601\) 3.94758e13i 0.503452i 0.967798 + 0.251726i \(0.0809983\pi\)
−0.967798 + 0.251726i \(0.919002\pi\)
\(602\) 1.90416e13 1.79001e12i 0.240835 0.0226399i
\(603\) −1.16465e13 −0.146086
\(604\) 2.90379e13i 0.361227i
\(605\) 1.72673e12 9.96930e11i 0.0213034 0.0122995i
\(606\) 2.54645e13 0.311582
\(607\) 6.76735e13 3.90713e13i 0.821249 0.474149i −0.0295978 0.999562i \(-0.509423\pi\)
0.850847 + 0.525413i \(0.176089\pi\)
\(608\) 4.67619e12 + 8.09940e12i 0.0562826 + 0.0974843i
\(609\) 1.91130e13 + 1.10349e13i 0.228161 + 0.131729i
\(610\) 4.04661e13i 0.479118i
\(611\) −1.19947e14 + 2.07754e14i −1.40858 + 2.43974i
\(612\) −1.72819e13 2.99331e13i −0.201295 0.348654i
\(613\) −1.13677e14 −1.31332 −0.656660 0.754186i \(-0.728032\pi\)
−0.656660 + 0.754186i \(0.728032\pi\)
\(614\) 4.30689e12 2.48659e12i 0.0493540 0.0284945i
\(615\) 1.03502e13 1.79271e13i 0.117645 0.203767i
\(616\) 1.93639e13 3.35393e13i 0.218318 0.378139i
\(617\) −7.32972e13 + 1.26955e14i −0.819713 + 1.41978i 0.0861807 + 0.996280i \(0.472534\pi\)
−0.905894 + 0.423505i \(0.860800\pi\)
\(618\) 1.42133e13 0.157671
\(619\) 5.30707e13 9.19212e13i 0.583985 1.01149i −0.411016 0.911628i \(-0.634826\pi\)
0.995001 0.0998637i \(-0.0318407\pi\)
\(620\) −1.01177e14 5.84143e13i −1.10439 0.637618i
\(621\) 8.06184e13 4.65451e13i 0.872924 0.503983i
\(622\) 3.71315e13 2.14379e13i 0.398833 0.230266i
\(623\) −2.04411e12 −0.0217803
\(624\) 4.01610e13i 0.424503i
\(625\) 2.68526e13 + 4.65101e13i 0.281570 + 0.487693i
\(626\) 6.37053e12 + 1.10341e13i 0.0662680 + 0.114779i
\(627\) −2.81471e12 + 4.87522e12i −0.0290466 + 0.0503102i
\(628\) −1.34718e14 7.77794e13i −1.37920 0.796282i
\(629\) 9.43058e13i 0.957823i
\(630\) −1.26806e13 7.32115e12i −0.127772 0.0737695i
\(631\) −9.94061e12 5.73921e12i −0.0993725 0.0573727i 0.449490 0.893285i \(-0.351606\pi\)
−0.548863 + 0.835913i \(0.684939\pi\)
\(632\) 1.36752e13 + 7.89536e12i 0.135627 + 0.0783045i
\(633\) 4.97754e13 + 8.62135e13i 0.489775 + 0.848314i
\(634\) 3.53693e13i 0.345287i
\(635\) 5.51398e13 3.18350e13i 0.534068 0.308345i
\(636\) 4.45195e13 + 2.57034e13i 0.427824 + 0.247004i
\(637\) 1.08791e14 1.03728
\(638\) 1.87543e13 3.24835e13i 0.177418 0.307297i
\(639\) −3.56979e13 + 2.06102e13i −0.335072 + 0.193454i
\(640\) 4.48028e13 + 7.76008e13i 0.417259 + 0.722713i
\(641\) 1.07560e14i 0.993937i 0.867769 + 0.496968i \(0.165553\pi\)
−0.867769 + 0.496968i \(0.834447\pi\)
\(642\) −2.18784e13 3.78946e13i −0.200605 0.347458i
\(643\) 6.49670e13 0.591069 0.295534 0.955332i \(-0.404502\pi\)
0.295534 + 0.955332i \(0.404502\pi\)
\(644\) 6.23725e13i 0.563072i
\(645\) −4.60314e13 + 4.32721e12i −0.412340 + 0.0387623i
\(646\) −3.48595e12 −0.0309855
\(647\) 1.19379e14i 1.05295i −0.850190 0.526475i \(-0.823513\pi\)
0.850190 0.526475i \(-0.176487\pi\)
\(648\) −2.21496e13 + 1.27881e13i −0.193861 + 0.111926i
\(649\) −1.95338e13 −0.169654
\(650\) −2.15557e13 + 1.24452e13i −0.185779 + 0.107259i
\(651\) 3.26749e13 + 5.65945e13i 0.279453 + 0.484027i
\(652\) 7.99774e13 + 4.61750e13i 0.678780 + 0.391894i
\(653\) 7.34748e13i 0.618832i −0.950927 0.309416i \(-0.899866\pi\)
0.950927 0.309416i \(-0.100134\pi\)
\(654\) −9.49735e11 + 1.64499e12i −0.00793805 + 0.0137491i
\(655\) 7.33761e13 + 1.27091e14i 0.608623 + 1.05417i
\(656\) −3.63231e13 −0.298994
\(657\) 1.51117e14 8.72477e13i 1.23449 0.712733i
\(658\) 2.63402e13 4.56225e13i 0.213545 0.369870i
\(659\) −8.92018e12 + 1.54502e13i −0.0717706 + 0.124310i −0.899677 0.436555i \(-0.856198\pi\)
0.827907 + 0.560866i \(0.189532\pi\)
\(660\) −2.12699e13 + 3.68405e13i −0.169842 + 0.294175i
\(661\) 4.45542e13 0.353087 0.176543 0.984293i \(-0.443508\pi\)
0.176543 + 0.984293i \(0.443508\pi\)
\(662\) 8.50795e11 1.47362e12i 0.00669168 0.0115903i
\(663\) −5.81096e13 3.35496e13i −0.453608 0.261890i
\(664\) −1.12473e14 + 6.49364e13i −0.871382 + 0.503092i
\(665\) 6.36898e12 3.67713e12i 0.0489736 0.0282749i
\(666\) 5.88371e13 0.449035
\(667\) 1.32948e14i 1.00705i
\(668\) −6.78734e13 1.17560e14i −0.510290 0.883848i
\(669\) −1.93001e13 3.34288e13i −0.144022 0.249454i
\(670\) −4.43809e12 + 7.68700e12i −0.0328717 + 0.0569355i
\(671\) −1.65913e14 9.57900e13i −1.21974 0.704219i
\(672\) 3.95319e13i 0.288471i
\(673\) 1.83805e13 + 1.06120e13i 0.133132 + 0.0768639i 0.565087 0.825031i \(-0.308843\pi\)
−0.431955 + 0.901895i \(0.642176\pi\)
\(674\) −3.25106e13 1.87700e13i −0.233736 0.134948i
\(675\) −3.51830e13 2.03129e13i −0.251081 0.144962i
\(676\) −9.08706e13 1.57393e14i −0.643710 1.11494i
\(677\) 1.85063e13i 0.130130i −0.997881 0.0650650i \(-0.979275\pi\)
0.997881 0.0650650i \(-0.0207255\pi\)
\(678\) 9.70380e12 5.60249e12i 0.0677319 0.0391050i
\(679\) −1.62894e13 9.40471e12i −0.112865 0.0651624i
\(680\) −5.79741e13 −0.398740
\(681\) 4.47022e13 7.74264e13i 0.305206 0.528632i
\(682\) 9.61854e13 5.55327e13i 0.651909 0.376380i
\(683\) 9.02108e13 + 1.56250e14i 0.606953 + 1.05127i 0.991740 + 0.128268i \(0.0409416\pi\)
−0.384787 + 0.923005i \(0.625725\pi\)
\(684\) 1.08309e13i 0.0723408i
\(685\) 3.42716e13 + 5.93602e13i 0.227239 + 0.393589i
\(686\) −6.06398e13 −0.399151
\(687\) 1.82296e13i 0.119123i
\(688\) 4.69615e13 + 6.61537e13i 0.304649 + 0.429153i
\(689\) −2.90734e14 −1.87240
\(690\) 3.02772e13i 0.193584i
\(691\) −5.61037e13 + 3.23915e13i −0.356124 + 0.205608i −0.667379 0.744718i \(-0.732584\pi\)
0.311255 + 0.950326i \(0.399251\pi\)
\(692\) −1.53518e13 −0.0967449
\(693\) −6.00342e13 + 3.46608e13i −0.375606 + 0.216856i
\(694\) −1.21317e12 2.10128e12i −0.00753574 0.0130523i
\(695\) −1.70373e14 9.83650e13i −1.05070 0.606620i
\(696\) 5.45173e13i 0.333801i
\(697\) 3.03435e13 5.25565e13i 0.184460 0.319494i
\(698\) 3.01435e13 + 5.22100e13i 0.181935 + 0.315121i
\(699\) −3.52387e13 −0.211171
\(700\) −2.35734e13 + 1.36101e13i −0.140260 + 0.0809789i
\(701\) −6.57645e13 + 1.13907e14i −0.388509 + 0.672918i −0.992249 0.124264i \(-0.960343\pi\)
0.603740 + 0.797181i \(0.293676\pi\)
\(702\) −4.90479e13 + 8.49534e13i −0.287696 + 0.498305i
\(703\) −1.47758e13 + 2.55924e13i −0.0860547 + 0.149051i
\(704\) 2.24469e13 0.129805
\(705\) −6.36752e13 + 1.10289e14i −0.365616 + 0.633265i
\(706\) −1.10768e14 6.39519e13i −0.631525 0.364611i
\(707\) −1.36396e14 + 7.87482e13i −0.772154 + 0.445804i
\(708\) −1.11722e13 + 6.45028e12i −0.0628019 + 0.0362587i
\(709\) 1.51040e14 0.843066 0.421533 0.906813i \(-0.361492\pi\)
0.421533 + 0.906813i \(0.361492\pi\)
\(710\) 3.14155e13i 0.174121i
\(711\) −1.41324e13 2.44781e13i −0.0777801 0.134719i
\(712\) 2.52471e12 + 4.37293e12i 0.0137979 + 0.0238986i
\(713\) 1.96833e14 3.40926e14i 1.06820 1.85017i
\(714\) 1.27608e13 + 7.36746e12i 0.0687681 + 0.0397033i
\(715\) 2.40586e14i 1.28748i
\(716\) 6.22753e13 + 3.59547e13i 0.330941 + 0.191069i
\(717\) 2.84051e13 + 1.63997e13i 0.149900 + 0.0865447i
\(718\) 1.09487e13 + 6.32122e12i 0.0573772 + 0.0331268i
\(719\) −5.81211e13 1.00669e14i −0.302475 0.523902i 0.674221 0.738530i \(-0.264479\pi\)
−0.976696 + 0.214628i \(0.931146\pi\)
\(720\) 6.21105e13i 0.320998i
\(721\) −7.61310e13 + 4.39542e13i −0.390737 + 0.225592i
\(722\) 6.85350e13 + 3.95687e13i 0.349322 + 0.201681i
\(723\) 1.69372e14 0.857337
\(724\) 9.57038e13 1.65764e14i 0.481101 0.833291i
\(725\) −5.02472e13 + 2.90102e13i −0.250854 + 0.144831i
\(726\) 6.25915e11 + 1.08412e12i 0.00310336 + 0.00537518i
\(727\) 2.88265e14i 1.41945i −0.704480 0.709724i \(-0.748820\pi\)
0.704480 0.709724i \(-0.251180\pi\)
\(728\) 7.23254e13 + 1.25271e14i 0.353699 + 0.612625i
\(729\) −4.60020e13 −0.223429
\(730\) 1.32989e14i 0.641507i
\(731\) −1.34950e14 + 1.26860e13i −0.646524 + 0.0607769i
\(732\) −1.26524e14 −0.602027
\(733\) 1.96298e14i 0.927674i 0.885921 + 0.463837i \(0.153528\pi\)
−0.885921 + 0.463837i \(0.846472\pi\)
\(734\) 1.70543e13 9.84632e12i 0.0800487 0.0462161i
\(735\) 5.77528e13 0.269238
\(736\) −2.06236e14 + 1.19070e14i −0.954937 + 0.551333i
\(737\) 2.10114e13 + 3.63928e13i 0.0966313 + 0.167370i
\(738\) −3.27898e13 1.89312e13i −0.149781 0.0864762i
\(739\) 3.49176e14i 1.58424i 0.610363 + 0.792122i \(0.291024\pi\)
−0.610363 + 0.792122i \(0.708976\pi\)
\(740\) −1.11656e14 + 1.93394e14i −0.503181 + 0.871534i
\(741\) −1.05131e13 1.82092e13i −0.0470586 0.0815079i
\(742\) 6.38448e13 0.283861
\(743\) 2.22987e13 1.28742e13i 0.0984772 0.0568558i −0.449953 0.893052i \(-0.648559\pi\)
0.548430 + 0.836197i \(0.315226\pi\)
\(744\) 8.07144e13 1.39801e14i 0.354068 0.613263i
\(745\) −1.50285e13 + 2.60301e13i −0.0654838 + 0.113421i
\(746\) −2.63945e13 + 4.57166e13i −0.114240 + 0.197870i
\(747\) 2.32468e14 0.999447
\(748\) −6.23565e13 + 1.08005e14i −0.266302 + 0.461248i
\(749\) 2.34376e14 + 1.35317e14i 0.994268 + 0.574041i
\(750\) −4.62490e13 + 2.67019e13i −0.194893 + 0.112522i
\(751\) 2.59459e13 1.49799e13i 0.108610 0.0627059i −0.444711 0.895674i \(-0.646694\pi\)
0.553321 + 0.832968i \(0.313360\pi\)
\(752\) 2.23462e14 0.929212
\(753\) 6.65950e12i 0.0275085i
\(754\) 7.00484e13 + 1.21327e14i 0.287436 + 0.497854i
\(755\) 4.35906e13 + 7.55011e13i 0.177688 + 0.307765i
\(756\) −5.36389e13 + 9.29053e13i −0.217206 + 0.376211i
\(757\) −1.28133e14 7.39779e13i −0.515446 0.297593i 0.219624 0.975585i \(-0.429517\pi\)
−0.735069 + 0.677992i \(0.762850\pi\)
\(758\) 3.14784e13i 0.125796i
\(759\) −1.24138e14 7.16711e13i −0.492829 0.284535i
\(760\) −1.57328e13 9.08336e12i −0.0620497 0.0358244i
\(761\) −1.10452e14 6.37697e13i −0.432765