Properties

Label 43.11.d.a.7.14
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 7.14
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.23

$q$-expansion

\(f(q)\) \(=\) \(q-20.4162i q^{2} +(-201.640 + 116.417i) q^{3} +607.178 q^{4} +(4872.92 - 2813.38i) q^{5} +(2376.79 + 4116.72i) q^{6} +(-6546.27 - 3779.49i) q^{7} -33302.5i q^{8} +(-2418.78 + 4189.45i) q^{9} +O(q^{10})\) \(q-20.4162i q^{2} +(-201.640 + 116.417i) q^{3} +607.178 q^{4} +(4872.92 - 2813.38i) q^{5} +(2376.79 + 4116.72i) q^{6} +(-6546.27 - 3779.49i) q^{7} -33302.5i q^{8} +(-2418.78 + 4189.45i) q^{9} +(-57438.7 - 99486.7i) q^{10} +309963. q^{11} +(-122431. + 70685.7i) q^{12} +(-168451. + 291765. i) q^{13} +(-77162.9 + 133650. i) q^{14} +(-655050. + 1.13458e6i) q^{15} -58159.9 q^{16} +(117678. - 203824. i) q^{17} +(85532.8 + 49382.4i) q^{18} +(-737457. + 425771. i) q^{19} +(2.95873e6 - 1.70823e6i) q^{20} +1.75998e6 q^{21} -6.32827e6i q^{22} +(2.63431e6 + 4.56276e6i) q^{23} +(3.87697e6 + 6.71510e6i) q^{24} +(1.09475e7 - 1.89615e7i) q^{25} +(5.95674e6 + 3.43913e6i) q^{26} -1.48749e7i q^{27} +(-3.97475e6 - 2.29482e6i) q^{28} +(5.47605e6 + 3.16160e6i) q^{29} +(2.31638e7 + 1.33736e7i) q^{30} +(-1.79685e7 - 3.11224e7i) q^{31} -3.29143e7i q^{32} +(-6.25009e7 + 3.60849e7i) q^{33} +(-4.16132e6 - 2.40254e6i) q^{34} -4.25326e7 q^{35} +(-1.46863e6 + 2.54375e6i) q^{36} +(5.89077e7 - 3.40104e7i) q^{37} +(8.69263e6 + 1.50561e7i) q^{38} -7.84420e7i q^{39} +(-9.36927e7 - 1.62280e8i) q^{40} +1.60791e8 q^{41} -3.59322e7i q^{42} +(-1.41723e8 + 3.90667e7i) q^{43} +1.88203e8 q^{44} +2.72199e7i q^{45} +(9.31542e7 - 5.37826e7i) q^{46} +1.69879e8 q^{47} +(1.17273e7 - 6.77078e6i) q^{48} +(-1.12669e8 - 1.95148e8i) q^{49} +(-3.87123e8 - 2.23505e8i) q^{50} +5.47988e7i q^{51} +(-1.02280e8 + 1.77154e8i) q^{52} +(-6.07591e7 - 1.05238e8i) q^{53} -3.03690e8 q^{54} +(1.51043e9 - 8.72045e8i) q^{55} +(-1.25866e8 + 2.18007e8i) q^{56} +(9.91338e7 - 1.71705e8i) q^{57} +(6.45479e7 - 1.11800e8i) q^{58} +7.67422e8 q^{59} +(-3.97732e8 + 6.88892e8i) q^{60} +(6.41857e8 + 3.70576e8i) q^{61} +(-6.35401e8 + 3.66849e8i) q^{62} +(3.16680e7 - 1.82835e7i) q^{63} -7.31542e8 q^{64} +1.89567e9i q^{65} +(7.36717e8 + 1.27603e9i) q^{66} +(-8.44456e8 - 1.46264e9i) q^{67} +(7.14516e7 - 1.23758e8i) q^{68} +(-1.06236e9 - 6.13355e8i) q^{69} +8.68355e8i q^{70} +(-1.33181e9 - 7.68923e8i) q^{71} +(1.39519e8 + 8.05515e7i) q^{72} +(5.28559e8 + 3.05163e8i) q^{73} +(-6.94363e8 - 1.20267e9i) q^{74} +5.09787e9i q^{75} +(-4.47768e8 + 2.58519e8i) q^{76} +(-2.02910e9 - 1.17150e9i) q^{77} -1.60149e9 q^{78} +(-2.40203e9 + 4.16043e9i) q^{79} +(-2.83409e8 + 1.63626e8i) q^{80} +(1.58886e9 + 2.75199e9i) q^{81} -3.28274e9i q^{82} +(2.27518e8 + 3.94072e8i) q^{83} +1.06862e9 q^{84} -1.32429e9i q^{85} +(7.97594e8 + 2.89344e9i) q^{86} -1.47225e9 q^{87} -1.03225e10i q^{88} +(4.12432e9 - 2.38118e9i) q^{89} +5.55726e8 q^{90} +(2.20545e9 - 1.27332e9i) q^{91} +(1.59950e9 + 2.77041e9i) q^{92} +(7.24633e9 + 4.18367e9i) q^{93} -3.46829e9i q^{94} +(-2.39572e9 + 4.14950e9i) q^{95} +(3.83178e9 + 6.63684e9i) q^{96} -1.08534e10 q^{97} +(-3.98418e9 + 2.30026e9i) q^{98} +(-7.49733e8 + 1.29858e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 20.4162i 0.638007i −0.947754 0.319003i \(-0.896652\pi\)
0.947754 0.319003i \(-0.103348\pi\)
\(3\) −201.640 + 116.417i −0.829793 + 0.479081i −0.853782 0.520631i \(-0.825697\pi\)
0.0239887 + 0.999712i \(0.492363\pi\)
\(4\) 607.178 0.592948
\(5\) 4872.92 2813.38i 1.55934 0.900283i 0.562015 0.827127i \(-0.310026\pi\)
0.997320 0.0731563i \(-0.0233072\pi\)
\(6\) 2376.79 + 4116.72i 0.305657 + 0.529413i
\(7\) −6546.27 3779.49i −0.389497 0.224876i 0.292445 0.956282i \(-0.405531\pi\)
−0.681942 + 0.731406i \(0.738864\pi\)
\(8\) 33302.5i 1.01631i
\(9\) −2418.78 + 4189.45i −0.0409623 + 0.0709488i
\(10\) −57438.7 99486.7i −0.574387 0.994867i
\(11\) 309963. 1.92463 0.962313 0.271943i \(-0.0876661\pi\)
0.962313 + 0.271943i \(0.0876661\pi\)
\(12\) −122431. + 70685.7i −0.492024 + 0.284070i
\(13\) −168451. + 291765.i −0.453687 + 0.785809i −0.998612 0.0526760i \(-0.983225\pi\)
0.544925 + 0.838485i \(0.316558\pi\)
\(14\) −77162.9 + 133650.i −0.143472 + 0.248501i
\(15\) −655050. + 1.13458e6i −0.862617 + 1.49410i
\(16\) −58159.9 −0.0554656
\(17\) 117678. 203824.i 0.0828802 0.143553i −0.821606 0.570056i \(-0.806921\pi\)
0.904486 + 0.426503i \(0.140255\pi\)
\(18\) 85532.8 + 49382.4i 0.0452658 + 0.0261342i
\(19\) −737457. + 425771.i −0.297830 + 0.171952i −0.641468 0.767150i \(-0.721674\pi\)
0.343637 + 0.939102i \(0.388341\pi\)
\(20\) 2.95873e6 1.70823e6i 0.924604 0.533821i
\(21\) 1.75998e6 0.430935
\(22\) 6.32827e6i 1.22792i
\(23\) 2.63431e6 + 4.56276e6i 0.409287 + 0.708905i 0.994810 0.101750i \(-0.0324443\pi\)
−0.585523 + 0.810655i \(0.699111\pi\)
\(24\) 3.87697e6 + 6.71510e6i 0.486896 + 0.843328i
\(25\) 1.09475e7 1.89615e7i 1.12102 1.94166i
\(26\) 5.95674e6 + 3.43913e6i 0.501351 + 0.289455i
\(27\) 1.48749e7i 1.03666i
\(28\) −3.97475e6 2.29482e6i −0.230951 0.133340i
\(29\) 5.47605e6 + 3.16160e6i 0.266979 + 0.154141i 0.627514 0.778605i \(-0.284072\pi\)
−0.360535 + 0.932746i \(0.617406\pi\)
\(30\) 2.31638e7 + 1.33736e7i 0.953244 + 0.550356i
\(31\) −1.79685e7 3.11224e7i −0.627630 1.08709i −0.988026 0.154288i \(-0.950692\pi\)
0.360396 0.932799i \(-0.382642\pi\)
\(32\) 3.29143e7i 0.980924i
\(33\) −6.25009e7 + 3.60849e7i −1.59704 + 0.922053i
\(34\) −4.16132e6 2.40254e6i −0.0915876 0.0528781i
\(35\) −4.25326e7 −0.809808
\(36\) −1.46863e6 + 2.54375e6i −0.0242885 + 0.0420689i
\(37\) 5.89077e7 3.40104e7i 0.849499 0.490459i −0.0109825 0.999940i \(-0.503496\pi\)
0.860482 + 0.509481i \(0.170163\pi\)
\(38\) 8.69263e6 + 1.50561e7i 0.109707 + 0.190018i
\(39\) 7.84420e7i 0.869412i
\(40\) −9.36927e7 1.62280e8i −0.914968 1.58477i
\(41\) 1.60791e8 1.38785 0.693924 0.720048i \(-0.255880\pi\)
0.693924 + 0.720048i \(0.255880\pi\)
\(42\) 3.59322e7i 0.274940i
\(43\) −1.41723e8 + 3.90667e7i −0.964043 + 0.265745i
\(44\) 1.88203e8 1.14120
\(45\) 2.72199e7i 0.147511i
\(46\) 9.31542e7 5.37826e7i 0.452286 0.261128i
\(47\) 1.69879e8 0.740714 0.370357 0.928889i \(-0.379235\pi\)
0.370357 + 0.928889i \(0.379235\pi\)
\(48\) 1.17273e7 6.77078e6i 0.0460250 0.0265725i
\(49\) −1.12669e8 1.95148e8i −0.398862 0.690849i
\(50\) −3.87123e8 2.23505e8i −1.23879 0.715218i
\(51\) 5.47988e7i 0.158825i
\(52\) −1.02280e8 + 1.77154e8i −0.269013 + 0.465944i
\(53\) −6.07591e7 1.05238e8i −0.145289 0.251647i 0.784192 0.620518i \(-0.213078\pi\)
−0.929481 + 0.368871i \(0.879744\pi\)
\(54\) −3.03690e8 −0.661396
\(55\) 1.51043e9 8.72045e8i 3.00114 1.73271i
\(56\) −1.25866e8 + 2.18007e8i −0.228544 + 0.395850i
\(57\) 9.91338e7 1.71705e8i 0.164758 0.285370i
\(58\) 6.45479e7 1.11800e8i 0.0983427 0.170334i
\(59\) 7.67422e8 1.07343 0.536716 0.843763i \(-0.319665\pi\)
0.536716 + 0.843763i \(0.319665\pi\)
\(60\) −3.97732e8 + 6.88892e8i −0.511487 + 0.885921i
\(61\) 6.41857e8 + 3.70576e8i 0.759957 + 0.438761i 0.829280 0.558833i \(-0.188751\pi\)
−0.0693235 + 0.997594i \(0.522084\pi\)
\(62\) −6.35401e8 + 3.66849e8i −0.693569 + 0.400432i
\(63\) 3.16680e7 1.82835e7i 0.0319093 0.0184229i
\(64\) −7.31542e8 −0.681301
\(65\) 1.89567e9i 1.63379i
\(66\) 7.36717e8 + 1.27603e9i 0.588276 + 1.01892i
\(67\) −8.44456e8 1.46264e9i −0.625465 1.08334i −0.988451 0.151542i \(-0.951576\pi\)
0.362986 0.931795i \(-0.381757\pi\)
\(68\) 7.14516e7 1.23758e8i 0.0491436 0.0851193i
\(69\) −1.06236e9 6.13355e8i −0.679246 0.392163i
\(70\) 8.68355e8i 0.516663i
\(71\) −1.33181e9 7.68923e8i −0.738162 0.426178i 0.0832387 0.996530i \(-0.473474\pi\)
−0.821401 + 0.570352i \(0.806807\pi\)
\(72\) 1.39519e8 + 8.05515e7i 0.0721060 + 0.0416304i
\(73\) 5.28559e8 + 3.05163e8i 0.254964 + 0.147204i 0.622035 0.782989i \(-0.286306\pi\)
−0.367071 + 0.930193i \(0.619639\pi\)
\(74\) −6.94363e8 1.20267e9i −0.312916 0.541986i
\(75\) 5.09787e9i 2.14824i
\(76\) −4.47768e8 + 2.58519e8i −0.176598 + 0.101959i
\(77\) −2.02910e9 1.17150e9i −0.749635 0.432802i
\(78\) −1.60149e9 −0.554691
\(79\) −2.40203e9 + 4.16043e9i −0.780625 + 1.35208i 0.150954 + 0.988541i \(0.451766\pi\)
−0.931578 + 0.363541i \(0.881568\pi\)
\(80\) −2.83409e8 + 1.63626e8i −0.0864895 + 0.0499347i
\(81\) 1.58886e9 + 2.75199e9i 0.455682 + 0.789264i
\(82\) 3.28274e9i 0.885456i
\(83\) 2.27518e8 + 3.94072e8i 0.0577596 + 0.100043i 0.893459 0.449144i \(-0.148271\pi\)
−0.835700 + 0.549187i \(0.814938\pi\)
\(84\) 1.06862e9 0.255522
\(85\) 1.32429e9i 0.298463i
\(86\) 7.97594e8 + 2.89344e9i 0.169547 + 0.615066i
\(87\) −1.47225e9 −0.295383
\(88\) 1.03225e10i 1.95602i
\(89\) 4.12432e9 2.38118e9i 0.738589 0.426424i −0.0829672 0.996552i \(-0.526440\pi\)
0.821556 + 0.570128i \(0.193106\pi\)
\(90\) 5.55726e8 0.0941128
\(91\) 2.20545e9 1.27332e9i 0.353419 0.204047i
\(92\) 1.59950e9 + 2.77041e9i 0.242685 + 0.420344i
\(93\) 7.24633e9 + 4.18367e9i 1.04161 + 0.601371i
\(94\) 3.46829e9i 0.472581i
\(95\) −2.39572e9 + 4.14950e9i −0.309612 + 0.536263i
\(96\) 3.83178e9 + 6.63684e9i 0.469942 + 0.813964i
\(97\) −1.08534e10 −1.26389 −0.631944 0.775014i \(-0.717743\pi\)
−0.631944 + 0.775014i \(0.717743\pi\)
\(98\) −3.98418e9 + 2.30026e9i −0.440766 + 0.254476i
\(99\) −7.49733e8 + 1.29858e9i −0.0788371 + 0.136550i
\(100\) 6.64706e9 1.15130e10i 0.664706 1.15130i
\(101\) 5.78487e8 1.00197e9i 0.0550410 0.0953338i −0.837192 0.546909i \(-0.815804\pi\)
0.892233 + 0.451575i \(0.149138\pi\)
\(102\) 1.11878e9 0.101332
\(103\) −1.01105e10 + 1.75120e10i −0.872145 + 1.51060i −0.0123712 + 0.999923i \(0.503938\pi\)
−0.859774 + 0.510675i \(0.829395\pi\)
\(104\) 9.71651e9 + 5.60983e9i 0.798626 + 0.461087i
\(105\) 8.57627e9 4.95151e9i 0.671973 0.387964i
\(106\) −2.14856e9 + 1.24047e9i −0.160553 + 0.0926952i
\(107\) −4.83969e9 −0.345063 −0.172532 0.985004i \(-0.555195\pi\)
−0.172532 + 0.985004i \(0.555195\pi\)
\(108\) 9.03174e9i 0.614685i
\(109\) −3.09935e9 5.36823e9i −0.201436 0.348898i 0.747555 0.664200i \(-0.231228\pi\)
−0.948991 + 0.315302i \(0.897894\pi\)
\(110\) −1.78039e10 3.08372e10i −1.10548 1.91475i
\(111\) −7.91875e9 + 1.37157e10i −0.469939 + 0.813959i
\(112\) 3.80730e8 + 2.19815e8i 0.0216036 + 0.0124729i
\(113\) 2.50479e10i 1.35950i −0.733445 0.679749i \(-0.762089\pi\)
0.733445 0.679749i \(-0.237911\pi\)
\(114\) −3.50556e9 2.02394e9i −0.182068 0.105117i
\(115\) 2.56736e10 + 1.48226e10i 1.27643 + 0.736947i
\(116\) 3.32494e9 + 1.91965e9i 0.158305 + 0.0913972i
\(117\) −8.14892e8 1.41143e9i −0.0371681 0.0643771i
\(118\) 1.56679e10i 0.684856i
\(119\) −1.54070e9 + 8.89526e8i −0.0645631 + 0.0372755i
\(120\) 3.77843e10 + 2.18148e10i 1.51847 + 0.876688i
\(121\) 7.01397e10 2.70419
\(122\) 7.56576e9 1.31043e10i 0.279933 0.484857i
\(123\) −3.24218e10 + 1.87187e10i −1.15163 + 0.664892i
\(124\) −1.09101e10 1.88968e10i −0.372152 0.644586i
\(125\) 6.82486e10i 2.23637i
\(126\) −3.73280e8 6.46541e8i −0.0117539 0.0203584i
\(127\) −5.89572e10 −1.78451 −0.892254 0.451534i \(-0.850877\pi\)
−0.892254 + 0.451534i \(0.850877\pi\)
\(128\) 1.87690e10i 0.546249i
\(129\) 2.40289e10 2.43763e10i 0.672643 0.682368i
\(130\) 3.87024e10 1.04237
\(131\) 4.87930e9i 0.126474i −0.997999 0.0632370i \(-0.979858\pi\)
0.997999 0.0632370i \(-0.0201424\pi\)
\(132\) −3.79492e10 + 2.19100e10i −0.946962 + 0.546729i
\(133\) 6.43679e9 0.154672
\(134\) −2.98616e10 + 1.72406e10i −0.691176 + 0.399051i
\(135\) −4.18489e10 7.24844e10i −0.933287 1.61650i
\(136\) −6.78786e9 3.91897e9i −0.145894 0.0842321i
\(137\) 6.53754e10i 1.35460i 0.735706 + 0.677301i \(0.236851\pi\)
−0.735706 + 0.677301i \(0.763149\pi\)
\(138\) −1.25224e10 + 2.16894e10i −0.250203 + 0.433364i
\(139\) 2.81957e10 + 4.88364e10i 0.543387 + 0.941174i 0.998707 + 0.0508458i \(0.0161917\pi\)
−0.455319 + 0.890328i \(0.650475\pi\)
\(140\) −2.58249e10 −0.480174
\(141\) −3.42544e10 + 1.97768e10i −0.614640 + 0.354862i
\(142\) −1.56985e10 + 2.71906e10i −0.271904 + 0.470952i
\(143\) −5.22135e10 + 9.04365e10i −0.873178 + 1.51239i
\(144\) 1.40676e8 2.43658e8i 0.00227200 0.00393522i
\(145\) 3.55792e10 0.555080
\(146\) 6.23028e9 1.07912e10i 0.0939168 0.162669i
\(147\) 4.54369e10 + 2.62330e10i 0.661945 + 0.382174i
\(148\) 3.57675e10 2.06503e10i 0.503709 0.290816i
\(149\) −8.30959e9 + 4.79755e9i −0.113148 + 0.0653263i −0.555506 0.831512i \(-0.687475\pi\)
0.442358 + 0.896839i \(0.354142\pi\)
\(150\) 1.04079e11 1.37059
\(151\) 3.72126e10i 0.474029i 0.971506 + 0.237015i \(0.0761689\pi\)
−0.971506 + 0.237015i \(0.923831\pi\)
\(152\) 1.41792e10 + 2.45592e10i 0.174757 + 0.302688i
\(153\) 5.69276e8 + 9.86014e8i 0.00678993 + 0.0117605i
\(154\) −2.39176e10 + 4.14266e10i −0.276131 + 0.478272i
\(155\) −1.75118e11 1.01105e11i −1.95737 1.13009i
\(156\) 4.76283e10i 0.515516i
\(157\) 1.46982e10 + 8.48600e9i 0.154087 + 0.0889621i 0.575061 0.818111i \(-0.304978\pi\)
−0.420974 + 0.907073i \(0.638312\pi\)
\(158\) 8.49402e10 + 4.90403e10i 0.862637 + 0.498044i
\(159\) 2.45029e10 + 1.41468e10i 0.241119 + 0.139210i
\(160\) −9.26007e10 1.60389e11i −0.883109 1.52959i
\(161\) 3.98254e10i 0.368155i
\(162\) 5.61853e10 3.24386e10i 0.503556 0.290728i
\(163\) 8.93459e10 + 5.15839e10i 0.776491 + 0.448307i 0.835185 0.549969i \(-0.185360\pi\)
−0.0586942 + 0.998276i \(0.518694\pi\)
\(164\) 9.76287e10 0.822921
\(165\) −2.03041e11 + 3.51678e11i −1.66022 + 2.87558i
\(166\) 8.04545e9 4.64505e9i 0.0638278 0.0368510i
\(167\) 8.23346e10 + 1.42608e11i 0.633870 + 1.09789i 0.986753 + 0.162228i \(0.0518679\pi\)
−0.352883 + 0.935667i \(0.614799\pi\)
\(168\) 5.86118e10i 0.437964i
\(169\) 1.21779e10 + 2.10927e10i 0.0883361 + 0.153003i
\(170\) −2.70371e10 −0.190421
\(171\) 4.11939e9i 0.0281743i
\(172\) −8.60508e10 + 2.37205e10i −0.571627 + 0.157573i
\(173\) 6.13089e10 0.395633 0.197817 0.980239i \(-0.436615\pi\)
0.197817 + 0.980239i \(0.436615\pi\)
\(174\) 3.00578e10i 0.188456i
\(175\) −1.43330e11 + 8.27516e10i −0.873266 + 0.504180i
\(176\) −1.80274e10 −0.106751
\(177\) −1.54743e11 + 8.93408e10i −0.890726 + 0.514261i
\(178\) −4.86147e10 8.42031e10i −0.272062 0.471224i
\(179\) 2.02221e11 + 1.16753e11i 1.10043 + 0.635333i 0.936334 0.351112i \(-0.114196\pi\)
0.164095 + 0.986445i \(0.447530\pi\)
\(180\) 1.65273e10i 0.0874661i
\(181\) 8.26646e10 1.43179e11i 0.425527 0.737034i −0.570943 0.820990i \(-0.693422\pi\)
0.996469 + 0.0839560i \(0.0267555\pi\)
\(182\) −2.59963e10 4.50269e10i −0.130183 0.225484i
\(183\) −1.72565e11 −0.840809
\(184\) 1.51951e11 8.77290e10i 0.720468 0.415962i
\(185\) 1.91368e11 3.31460e11i 0.883103 1.52958i
\(186\) 8.54147e10 1.47943e11i 0.383679 0.664551i
\(187\) 3.64759e10 6.31781e10i 0.159514 0.276286i
\(188\) 1.03147e11 0.439205
\(189\) −5.62196e10 + 9.73753e10i −0.233120 + 0.403775i
\(190\) 8.47171e10 + 4.89114e10i 0.342139 + 0.197534i
\(191\) −2.18596e11 + 1.26207e11i −0.859955 + 0.496495i −0.863997 0.503497i \(-0.832047\pi\)
0.00404226 + 0.999992i \(0.498713\pi\)
\(192\) 1.47508e11 8.51637e10i 0.565339 0.326399i
\(193\) −3.16793e11 −1.18301 −0.591507 0.806300i \(-0.701467\pi\)
−0.591507 + 0.806300i \(0.701467\pi\)
\(194\) 2.21586e11i 0.806369i
\(195\) −2.20687e11 3.82242e11i −0.782717 1.35571i
\(196\) −6.84099e10 1.18489e11i −0.236504 0.409637i
\(197\) 8.09685e10 1.40241e11i 0.272888 0.472656i −0.696712 0.717351i \(-0.745354\pi\)
0.969600 + 0.244695i \(0.0786878\pi\)
\(198\) 2.65120e10 + 1.53067e10i 0.0871198 + 0.0502986i
\(199\) 9.52483e9i 0.0305205i 0.999884 + 0.0152603i \(0.00485768\pi\)
−0.999884 + 0.0152603i \(0.995142\pi\)
\(200\) −6.31466e11 3.64577e11i −1.97333 1.13930i
\(201\) 3.40552e11 + 1.96618e11i 1.03801 + 0.599297i
\(202\) −2.04564e10 1.18105e10i −0.0608236 0.0351165i
\(203\) −2.38985e10 4.13933e10i −0.0693250 0.120074i
\(204\) 3.32726e10i 0.0941752i
\(205\) 7.83521e11 4.52366e11i 2.16412 1.24946i
\(206\) 3.57528e11 + 2.06419e11i 0.963772 + 0.556434i
\(207\) −2.54873e10 −0.0670613
\(208\) 9.79708e9 1.69690e10i 0.0251640 0.0435854i
\(209\) −2.28585e11 + 1.31973e11i −0.573212 + 0.330944i
\(210\) −1.01091e11 1.75095e11i −0.247523 0.428723i
\(211\) 4.69015e11i 1.12144i −0.828007 0.560718i \(-0.810525\pi\)
0.828007 0.560718i \(-0.189475\pi\)
\(212\) −3.68916e10 6.38981e10i −0.0861486 0.149214i
\(213\) 3.58062e11 0.816696
\(214\) 9.88082e10i 0.220153i
\(215\) −5.80694e11 + 5.89089e11i −1.26402 + 1.28230i
\(216\) −4.95372e11 −1.05357
\(217\) 2.71647e11i 0.564555i
\(218\) −1.09599e11 + 6.32769e10i −0.222599 + 0.128518i
\(219\) −1.42105e11 −0.282090
\(220\) 9.17098e11 5.29487e11i 1.77952 1.02741i
\(221\) 3.96459e10 + 6.86688e10i 0.0752034 + 0.130256i
\(222\) 2.80022e11 + 1.61671e11i 0.519311 + 0.299824i
\(223\) 6.51582e11i 1.18153i 0.806844 + 0.590765i \(0.201174\pi\)
−0.806844 + 0.590765i \(0.798826\pi\)
\(224\) −1.24399e11 + 2.15466e11i −0.220586 + 0.382066i
\(225\) 5.29590e10 + 9.17277e10i 0.0918390 + 0.159070i
\(226\) −5.11383e11 −0.867369
\(227\) 2.13003e11 1.22977e11i 0.353392 0.204031i −0.312786 0.949824i \(-0.601262\pi\)
0.666178 + 0.745793i \(0.267929\pi\)
\(228\) 6.01919e10 1.04255e11i 0.0976931 0.169209i
\(229\) −1.72791e11 + 2.99282e11i −0.274374 + 0.475229i −0.969977 0.243197i \(-0.921804\pi\)
0.695603 + 0.718426i \(0.255137\pi\)
\(230\) 3.02622e11 5.24157e11i 0.470177 0.814371i
\(231\) 5.45530e11 0.829390
\(232\) 1.05289e11 1.82366e11i 0.156655 0.271334i
\(233\) −7.25021e11 4.18591e11i −1.05577 0.609552i −0.131514 0.991314i \(-0.541984\pi\)
−0.924260 + 0.381763i \(0.875317\pi\)
\(234\) −2.88161e10 + 1.66370e10i −0.0410730 + 0.0237135i
\(235\) 8.27808e11 4.77935e11i 1.15502 0.666852i
\(236\) 4.65962e11 0.636489
\(237\) 1.11854e12i 1.49593i
\(238\) 1.81608e10 + 3.14554e10i 0.0237820 + 0.0411917i
\(239\) 4.80355e11 + 8.31999e11i 0.615988 + 1.06692i 0.990210 + 0.139584i \(0.0445765\pi\)
−0.374222 + 0.927339i \(0.622090\pi\)
\(240\) 3.80976e10 6.59870e10i 0.0478456 0.0828710i
\(241\) 9.35190e11 + 5.39932e11i 1.15031 + 0.664131i 0.948962 0.315389i \(-0.102135\pi\)
0.201346 + 0.979520i \(0.435468\pi\)
\(242\) 1.43199e12i 1.72529i
\(243\) 1.19917e11 + 6.92341e10i 0.141530 + 0.0817125i
\(244\) 3.89721e11 + 2.25006e11i 0.450615 + 0.260162i
\(245\) −1.09805e12 6.33960e11i −1.24392 0.718177i
\(246\) 3.82166e11 + 6.61930e11i 0.424205 + 0.734745i
\(247\) 2.86886e11i 0.312050i
\(248\) −1.03645e12 + 5.98396e11i −1.10482 + 0.637867i
\(249\) −9.17531e10 5.29737e10i −0.0958571 0.0553431i
\(250\) −1.39338e12 −1.42682
\(251\) −6.83880e11 + 1.18451e12i −0.686454 + 1.18897i 0.286524 + 0.958073i \(0.407500\pi\)
−0.972978 + 0.230900i \(0.925833\pi\)
\(252\) 1.92281e10 1.11014e10i 0.0189206 0.0109238i
\(253\) 8.16538e11 + 1.41429e12i 0.787724 + 1.36438i
\(254\) 1.20368e12i 1.13853i
\(255\) 1.54170e11 + 2.67030e11i 0.142988 + 0.247662i
\(256\) −1.13229e12 −1.02981
\(257\) 5.43433e11i 0.484708i −0.970188 0.242354i \(-0.922080\pi\)
0.970188 0.242354i \(-0.0779196\pi\)
\(258\) −4.97671e11 4.90579e11i −0.435355 0.429151i
\(259\) −5.14167e11 −0.441169
\(260\) 1.15101e12i 0.968750i
\(261\) −2.64908e10 + 1.52944e10i −0.0218722 + 0.0126279i
\(262\) −9.96169e10 −0.0806913
\(263\) −9.84382e10 + 5.68333e10i −0.0782321 + 0.0451673i −0.538606 0.842558i \(-0.681049\pi\)
0.460374 + 0.887725i \(0.347715\pi\)
\(264\) 1.20172e12 + 2.08143e12i 0.937092 + 1.62309i
\(265\) −5.92149e11 3.41877e11i −0.453108 0.261602i
\(266\) 1.31415e11i 0.0986816i
\(267\) −5.54418e11 + 9.60281e11i −0.408584 + 0.707688i
\(268\) −5.12735e11 8.88084e11i −0.370868 0.642362i
\(269\) −2.42148e12 −1.71918 −0.859588 0.510988i \(-0.829280\pi\)
−0.859588 + 0.510988i \(0.829280\pi\)
\(270\) −1.47986e12 + 8.54396e11i −1.03134 + 0.595443i
\(271\) −1.31493e12 + 2.27752e12i −0.899612 + 1.55817i −0.0716210 + 0.997432i \(0.522817\pi\)
−0.827991 + 0.560742i \(0.810516\pi\)
\(272\) −6.84414e9 + 1.18544e10i −0.00459700 + 0.00796224i
\(273\) −2.96471e11 + 5.13502e11i −0.195510 + 0.338633i
\(274\) 1.33472e12 0.864245
\(275\) 3.39331e12 5.87738e12i 2.15754 3.73697i
\(276\) −6.45043e11 3.72416e11i −0.402757 0.232532i
\(277\) −1.53079e12 + 8.83800e11i −0.938676 + 0.541945i −0.889545 0.456847i \(-0.848979\pi\)
−0.0491311 + 0.998792i \(0.515645\pi\)
\(278\) 9.97055e11 5.75650e11i 0.600475 0.346685i
\(279\) 1.73848e11 0.102837
\(280\) 1.41644e12i 0.823017i
\(281\) 2.58249e11 + 4.47301e11i 0.147403 + 0.255310i 0.930267 0.366883i \(-0.119575\pi\)
−0.782864 + 0.622193i \(0.786242\pi\)
\(282\) 4.03767e11 + 6.99345e11i 0.226405 + 0.392144i
\(283\) −6.03889e11 + 1.04597e12i −0.332679 + 0.576216i −0.983036 0.183412i \(-0.941286\pi\)
0.650358 + 0.759628i \(0.274619\pi\)
\(284\) −8.08648e11 4.66873e11i −0.437691 0.252701i
\(285\) 1.11561e12i 0.593317i
\(286\) 1.84637e12 + 1.06600e12i 0.964914 + 0.557094i
\(287\) −1.05258e12 6.07707e11i −0.540562 0.312094i
\(288\) 1.37893e11 + 7.96126e10i 0.0695953 + 0.0401809i
\(289\) 9.80301e11 + 1.69793e12i 0.486262 + 0.842230i
\(290\) 7.26392e11i 0.354145i
\(291\) 2.18848e12 1.26352e12i 1.04877 0.605505i
\(292\) 3.20929e11 + 1.85289e11i 0.151180 + 0.0872840i
\(293\) 2.59734e12 1.20279 0.601395 0.798952i \(-0.294612\pi\)
0.601395 + 0.798952i \(0.294612\pi\)
\(294\) 5.35579e11 9.27649e11i 0.243830 0.422325i
\(295\) 3.73959e12 2.15905e12i 1.67384 0.966392i
\(296\) −1.13263e12 1.96177e12i −0.498459 0.863356i
\(297\) 4.61068e12i 1.99518i
\(298\) 9.79477e10 + 1.69650e11i 0.0416786 + 0.0721894i
\(299\) −1.77501e12 −0.742752
\(300\) 3.09531e12i 1.27379i
\(301\) 1.07541e12 + 2.79898e11i 0.435251 + 0.113284i
\(302\) 7.59740e11 0.302434
\(303\) 2.69382e11i 0.105476i
\(304\) 4.28904e10 2.47628e10i 0.0165193 0.00953744i
\(305\) 4.17029e12 1.58004
\(306\) 2.01307e10 1.16224e10i 0.00750328 0.00433202i
\(307\) 1.18310e11 + 2.04919e11i 0.0433840 + 0.0751433i 0.886902 0.461958i \(-0.152853\pi\)
−0.843518 + 0.537101i \(0.819519\pi\)
\(308\) −1.23203e12 7.11311e11i −0.444495 0.256629i
\(309\) 4.70815e12i 1.67131i
\(310\) −2.06417e12 + 3.57525e12i −0.721004 + 1.24882i
\(311\) −2.30458e12 3.99165e12i −0.792117 1.37199i −0.924654 0.380809i \(-0.875645\pi\)
0.132536 0.991178i \(-0.457688\pi\)
\(312\) −2.61231e12 −0.883593
\(313\) −1.63573e12 + 9.44387e11i −0.544489 + 0.314361i −0.746896 0.664941i \(-0.768457\pi\)
0.202407 + 0.979301i \(0.435124\pi\)
\(314\) 1.73252e11 3.00081e11i 0.0567584 0.0983084i
\(315\) 1.02877e11 1.78189e11i 0.0331716 0.0574549i
\(316\) −1.45846e12 + 2.52612e12i −0.462869 + 0.801713i
\(317\) −4.24180e11 −0.132512 −0.0662558 0.997803i \(-0.521105\pi\)
−0.0662558 + 0.997803i \(0.521105\pi\)
\(318\) 2.88823e11 5.00256e11i 0.0888170 0.153836i
\(319\) 1.69737e12 + 9.79979e11i 0.513835 + 0.296663i
\(320\) −3.56475e12 + 2.05811e12i −1.06238 + 0.613364i
\(321\) 9.75874e11 5.63421e11i 0.286331 0.165313i
\(322\) −8.13083e11 −0.234885
\(323\) 2.00416e11i 0.0570058i
\(324\) 9.64724e11 + 1.67095e12i 0.270195 + 0.467992i
\(325\) 3.68821e12 + 6.38818e12i 1.01718 + 1.76181i
\(326\) 1.05315e12 1.82410e12i 0.286023 0.495406i
\(327\) 1.24990e12 + 7.21632e11i 0.334301 + 0.193009i
\(328\) 5.35473e12i 1.41049i
\(329\) −1.11207e12 6.42056e11i −0.288506 0.166569i
\(330\) 7.17993e12 + 4.14534e12i 1.83464 + 1.05923i
\(331\) −5.99802e12 3.46296e12i −1.50962 0.871580i −0.999937 0.0112174i \(-0.996429\pi\)
−0.509683 0.860362i \(-0.670237\pi\)
\(332\) 1.38144e11 + 2.39272e11i 0.0342484 + 0.0593200i
\(333\) 3.29055e11i 0.0803613i
\(334\) 2.91151e12 1.68096e12i 0.700464 0.404413i
\(335\) −8.22994e12 4.75156e12i −1.95062 1.12619i
\(336\) −1.02360e11 −0.0239021
\(337\) 2.99747e12 5.19178e12i 0.689614 1.19445i −0.282349 0.959312i \(-0.591114\pi\)
0.971963 0.235135i \(-0.0755531\pi\)
\(338\) 4.30633e11 2.48626e11i 0.0976167 0.0563590i
\(339\) 2.91599e12 + 5.05065e12i 0.651310 + 1.12810i
\(340\) 8.04083e11i 0.176973i
\(341\) −5.56958e12 9.64679e12i −1.20795 2.09224i
\(342\) −8.41024e10 −0.0179754
\(343\) 3.83854e12i 0.808529i
\(344\) 1.30102e12 + 4.71971e12i 0.270079 + 0.979768i
\(345\) −6.90242e12 −1.41223
\(346\) 1.25170e12i 0.252417i
\(347\) 3.98487e12 2.30067e12i 0.792076 0.457305i −0.0486171 0.998817i \(-0.515481\pi\)
0.840693 + 0.541512i \(0.182148\pi\)
\(348\) −8.93920e11 −0.175147
\(349\) 5.49473e12 3.17239e12i 1.06125 0.612716i 0.135476 0.990781i \(-0.456744\pi\)
0.925779 + 0.378065i \(0.123410\pi\)
\(350\) 1.68947e12 + 2.92625e12i 0.321670 + 0.557149i
\(351\) 4.33999e12 + 2.50569e12i 0.814617 + 0.470319i
\(352\) 1.02022e13i 1.88791i
\(353\) −2.19168e12 + 3.79609e12i −0.399855 + 0.692570i −0.993708 0.112004i \(-0.964273\pi\)
0.593853 + 0.804574i \(0.297606\pi\)
\(354\) 1.82400e12 + 3.15926e12i 0.328102 + 0.568289i
\(355\) −8.65310e12 −1.53472
\(356\) 2.50420e12 1.44580e12i 0.437944 0.252847i
\(357\) 2.07112e11 3.58728e11i 0.0357160 0.0618620i
\(358\) 2.38365e12 4.12859e12i 0.405347 0.702081i
\(359\) 3.36078e11 5.82104e11i 0.0563596 0.0976177i −0.836469 0.548014i \(-0.815384\pi\)
0.892829 + 0.450396i \(0.148717\pi\)
\(360\) 9.06489e11 0.149917
\(361\) −2.70297e12 + 4.68168e12i −0.440865 + 0.763600i
\(362\) −2.92318e12 1.68770e12i −0.470232 0.271489i
\(363\) −1.41429e13 + 8.16543e12i −2.24392 + 1.29553i
\(364\) 1.33910e12 7.73130e11i 0.209559 0.120989i
\(365\) 3.43417e12 0.530099
\(366\) 3.52312e12i 0.536442i
\(367\) 2.76464e12 + 4.78850e12i 0.415249 + 0.719232i 0.995455 0.0952382i \(-0.0303613\pi\)
−0.580206 + 0.814470i \(0.697028\pi\)
\(368\) −1.53211e11 2.65369e11i −0.0227013 0.0393198i
\(369\) −3.88918e11 + 6.73626e11i −0.0568494 + 0.0984661i
\(370\) −6.76715e12 3.90702e12i −0.975882 0.563426i
\(371\) 9.18553e11i 0.130688i
\(372\) 4.39982e12 + 2.54023e12i 0.617618 + 0.356582i
\(373\) 9.89376e12 + 5.71217e12i 1.37031 + 0.791146i 0.990966 0.134112i \(-0.0428181\pi\)
0.379339 + 0.925258i \(0.376151\pi\)
\(374\) −1.28986e12 7.44699e11i −0.176272 0.101771i
\(375\) 7.94529e12 + 1.37616e13i 1.07140 + 1.85573i
\(376\) 5.65740e12i 0.752796i
\(377\) −1.84489e12 + 1.06515e12i −0.242250 + 0.139863i
\(378\) 1.98803e12 + 1.14779e12i 0.257611 + 0.148732i
\(379\) −5.88199e12 −0.752192 −0.376096 0.926581i \(-0.622734\pi\)
−0.376096 + 0.926581i \(0.622734\pi\)
\(380\) −1.45463e12 + 2.51949e12i −0.183583 + 0.317976i
\(381\) 1.18881e13 6.86361e12i 1.48077 0.854924i
\(382\) 2.57666e12 + 4.46291e12i 0.316767 + 0.548657i
\(383\) 9.57534e12i 1.16188i −0.813947 0.580938i \(-0.802686\pi\)
0.813947 0.580938i \(-0.197314\pi\)
\(384\) 2.18502e12 + 3.78457e12i 0.261698 + 0.453274i
\(385\) −1.31835e13 −1.55858
\(386\) 6.46772e12i 0.754770i
\(387\) 1.79128e11 6.88234e11i 0.0206352 0.0792832i
\(388\) −6.58997e12 −0.749419
\(389\) 1.09945e13i 1.23432i −0.786837 0.617161i \(-0.788283\pi\)
0.786837 0.617161i \(-0.211717\pi\)
\(390\) −7.80393e12 + 4.50560e12i −0.864949 + 0.499378i
\(391\) 1.24000e12 0.135687
\(392\) −6.49890e12 + 3.75214e12i −0.702117 + 0.405368i
\(393\) 5.68033e11 + 9.83861e11i 0.0605913 + 0.104947i
\(394\) −2.86320e12 1.65307e12i −0.301558 0.174104i
\(395\) 2.70313e13i 2.81113i
\(396\) −4.55222e11 + 7.88467e11i −0.0467463 + 0.0809670i
\(397\) −4.01951e12 6.96199e12i −0.407587 0.705961i 0.587032 0.809564i \(-0.300296\pi\)
−0.994619 + 0.103603i \(0.966963\pi\)
\(398\) 1.94461e11 0.0194723
\(399\) −1.29791e12 + 7.49350e11i −0.128346 + 0.0741004i
\(400\) −6.36702e11 + 1.10280e12i −0.0621780 + 0.107695i
\(401\) −2.35903e12 + 4.08595e12i −0.227515 + 0.394068i −0.957071 0.289853i \(-0.906394\pi\)
0.729556 + 0.683921i \(0.239727\pi\)
\(402\) 4.01419e12 6.95278e12i 0.382355 0.662259i
\(403\) 1.21072e13 1.13899
\(404\) 3.51245e11 6.08373e11i 0.0326364 0.0565280i
\(405\) 1.54848e13 + 8.94017e12i 1.42112 + 0.820485i
\(406\) −8.45095e11 + 4.87916e11i −0.0766082 + 0.0442298i
\(407\) 1.82592e13 1.05420e13i 1.63497 0.943950i
\(408\) 1.82494e12 0.161416
\(409\) 2.08648e13i 1.82305i 0.411245 + 0.911525i \(0.365094\pi\)
−0.411245 + 0.911525i \(0.634906\pi\)
\(410\) −9.23561e12 1.59965e13i −0.797161 1.38072i
\(411\) −7.61080e12 1.31823e13i −0.648965 1.12404i
\(412\) −6.13891e12 + 1.06329e13i −0.517136 + 0.895706i
\(413\) −5.02375e12 2.90046e12i −0.418098 0.241389i
\(414\) 5.20354e11i 0.0427855i
\(415\) 2.21735e12 + 1.28019e12i 0.180133 + 0.104000i
\(416\) 9.60326e12 + 5.54445e12i 0.770819 + 0.445032i
\(417\) −1.13708e13 6.56491e12i −0.901798 0.520653i
\(418\) 2.69440e12 + 4.66683e12i 0.211145 + 0.365713i
\(419\) 1.69603e12i 0.131330i −0.997842 0.0656651i \(-0.979083\pi\)
0.997842 0.0656651i \(-0.0209169\pi\)
\(420\) 5.20732e12 3.00645e12i 0.398445 0.230042i
\(421\) 1.38719e13 + 8.00892e12i 1.04888 + 0.605569i 0.922335 0.386392i \(-0.126279\pi\)
0.126542 + 0.991961i \(0.459612\pi\)
\(422\) −9.57550e12 −0.715483
\(423\) −4.10901e11 + 7.11701e11i −0.0303414 + 0.0525528i
\(424\) −3.50468e12 + 2.02343e12i −0.255752 + 0.147659i
\(425\) −2.57655e12 4.46272e12i −0.185821 0.321851i
\(426\) 7.31027e12i 0.521057i
\(427\) −2.80118e12 4.85178e12i −0.197334 0.341792i
\(428\) −2.93856e12 −0.204605
\(429\) 2.43141e13i 1.67329i
\(430\) 1.20270e13 + 1.18556e13i 0.818114 + 0.806455i
\(431\) −5.63058e12 −0.378588 −0.189294 0.981920i \(-0.560620\pi\)
−0.189294 + 0.981920i \(0.560620\pi\)
\(432\) 8.65124e11i 0.0574989i
\(433\) −2.18593e13 + 1.26205e13i −1.43614 + 0.829157i −0.997579 0.0695425i \(-0.977846\pi\)
−0.438564 + 0.898700i \(0.644513\pi\)
\(434\) 5.54601e12 0.360190
\(435\) −7.17417e12 + 4.14201e12i −0.460602 + 0.265929i
\(436\) −1.88186e12 3.25947e12i −0.119441 0.206878i
\(437\) −3.88538e12 2.24323e12i −0.243796 0.140756i
\(438\) 2.90124e12i 0.179975i
\(439\) −1.24804e12 + 2.16167e12i −0.0765430 + 0.132576i −0.901756 0.432245i \(-0.857722\pi\)
0.825213 + 0.564821i \(0.191055\pi\)
\(440\) −2.90413e13 5.03010e13i −1.76097 3.05009i
\(441\) 1.09008e12 0.0653532
\(442\) 1.40196e12 8.09420e11i 0.0831043 0.0479803i
\(443\) 4.78878e12 8.29441e12i 0.280677 0.486146i −0.690875 0.722974i \(-0.742775\pi\)
0.971552 + 0.236828i \(0.0761079\pi\)
\(444\) −4.80809e12 + 8.32786e12i −0.278649 + 0.482635i
\(445\) 1.33983e13 2.32066e13i 0.767805 1.32988i
\(446\) 1.33028e13 0.753824
\(447\) 1.11703e12 1.93475e12i 0.0625932 0.108415i
\(448\) 4.78887e12 + 2.76485e12i 0.265364 + 0.153208i
\(449\) −1.72326e12 + 9.94923e11i −0.0944318 + 0.0545202i −0.546472 0.837477i \(-0.684030\pi\)
0.452040 + 0.891997i \(0.350696\pi\)
\(450\) 1.87273e12 1.08122e12i 0.101488 0.0585939i
\(451\) 4.98392e13 2.67109
\(452\) 1.52085e13i 0.806111i
\(453\) −4.33217e12 7.50353e12i −0.227098 0.393346i
\(454\) −2.51073e12 4.34872e12i −0.130173 0.225466i
\(455\) 7.16466e12 1.24095e13i 0.367399 0.636354i
\(456\) −5.71819e12 3.30140e12i −0.290025 0.167446i
\(457\) 1.80401e13i 0.905020i −0.891759 0.452510i \(-0.850529\pi\)
0.891759 0.452510i \(-0.149471\pi\)
\(458\) 6.11021e12 + 3.52773e12i 0.303200 + 0.175052i
\(459\) −3.03187e12 1.75045e12i −0.148815 0.0859186i
\(460\) 1.55884e13 + 8.99999e12i 0.756856 + 0.436971i
\(461\) 1.55121e13 + 2.68678e13i 0.745018 + 1.29041i 0.950186 + 0.311683i \(0.100893\pi\)
−0.205168 + 0.978727i \(0.565774\pi\)
\(462\) 1.11377e13i 0.529156i
\(463\) −2.18863e13 + 1.26360e13i −1.02865 + 0.593890i −0.916597 0.399812i \(-0.869075\pi\)
−0.112051 + 0.993702i \(0.535742\pi\)
\(464\) −3.18486e11 1.83878e11i −0.0148082 0.00854949i
\(465\) 4.70811e13 2.16562
\(466\) −8.54605e12 + 1.48022e13i −0.388898 + 0.673591i
\(467\) −1.18011e13 + 6.81335e12i −0.531296 + 0.306744i −0.741544 0.670904i \(-0.765906\pi\)
0.210248 + 0.977648i \(0.432573\pi\)
\(468\) −4.94785e11 8.56992e11i −0.0220388 0.0381722i
\(469\) 1.27664e13i 0.562608i
\(470\) −9.75763e12 1.69007e13i −0.425456 0.736912i
\(471\) −3.95165e12 −0.170480
\(472\) 2.55571e13i 1.09094i
\(473\) −4.39288e13 + 1.21092e13i −1.85542 + 0.511459i
\(474\) −2.28364e13 −0.954413
\(475\) 1.86444e13i 0.771048i
\(476\) −9.35483e11 + 5.40101e11i −0.0382826 + 0.0221024i
\(477\) 5.87852e11 0.0238054
\(478\) 1.69863e13 9.80702e12i 0.680704 0.393005i
\(479\) −1.33428e13 2.31104e13i −0.529139 0.916496i −0.999422 0.0339807i \(-0.989182\pi\)
0.470283 0.882516i \(-0.344152\pi\)
\(480\) 3.73440e13 + 2.15605e13i 1.46560 + 0.846162i
\(481\) 2.29163e13i 0.890059i
\(482\) 1.10234e13 1.90930e13i 0.423720 0.733905i
\(483\) 4.63634e12 + 8.03038e12i 0.176376 + 0.305492i
\(484\) 4.25873e13 1.60344
\(485\) −5.28880e13 + 3.05349e13i −1.97083 + 1.13786i
\(486\) 1.41350e12 2.44825e12i 0.0521331 0.0902972i
\(487\) −4.59246e12 + 7.95437e12i −0.167649 + 0.290376i −0.937593 0.347735i \(-0.886951\pi\)
0.769944 + 0.638111i \(0.220284\pi\)
\(488\) 1.23411e13 2.13754e13i 0.445918 0.772352i
\(489\) −2.40209e13 −0.859103
\(490\) −1.29431e13 + 2.24180e13i −0.458201 + 0.793628i
\(491\) 1.27770e13 + 7.37678e12i 0.447734 + 0.258499i 0.706873 0.707341i \(-0.250105\pi\)
−0.259139 + 0.965840i \(0.583439\pi\)
\(492\) −1.96858e13 + 1.13656e13i −0.682854 + 0.394246i
\(493\) 1.28882e12 7.44102e11i 0.0442546 0.0255504i
\(494\) −5.85713e12 −0.199090
\(495\) 8.43715e12i 0.283903i
\(496\) 1.04505e12 + 1.81007e12i 0.0348119 + 0.0602959i
\(497\) 5.81227e12 + 1.00671e13i 0.191674 + 0.331990i
\(498\) −1.08152e12 + 1.87325e12i −0.0353093 + 0.0611574i
\(499\) −3.10036e13 1.78999e13i −1.00210 0.578560i −0.0932281 0.995645i \(-0.529719\pi\)
−0.908868 + 0.417084i \(0.863052\pi\)
\(500\) 4.14391e13i 1.32605i
\(501\) −3.32039e13 1.91703e13i −1.05196 0.607350i
\(502\) 2.41833e13 + 1.39622e13i 0.758572 + 0.437962i
\(503\) 2.01221e13 + 1.16175e13i 0.624933 + 0.360805i 0.778787 0.627288i \(-0.215835\pi\)
−0.153854 + 0.988094i \(0.549169\pi\)
\(504\) −6.08887e11 1.05462e12i −0.0187234 0.0324298i
\(505\) 6.51002e12i 0.198210i
\(506\) 2.88744e13 1.66706e13i 0.870482 0.502573i
\(507\) −4.91109e12 2.83542e12i −0.146601 0.0846403i
\(508\) −3.57976e13 −1.05812
\(509\) −2.44958e12 + 4.24280e12i −0.0716974 + 0.124183i −0.899645 0.436621i \(-0.856175\pi\)
0.827948 + 0.560805i \(0.189508\pi\)
\(510\) 5.45175e12 3.14757e12i 0.158010 0.0912272i
\(511\) −2.30672e12 3.99536e12i −0.0662051 0.114671i
\(512\) 3.89765e12i 0.110778i
\(513\) 6.33332e12 + 1.09696e13i 0.178256 + 0.308749i
\(514\) −1.10948e13 −0.309247
\(515\) 1.13779e14i 3.14071i
\(516\) 1.45898e13 1.48007e13i 0.398842 0.404609i
\(517\) 5.26563e13 1.42560
\(518\) 1.04973e13i 0.281469i
\(519\) −1.23623e13 + 7.13738e12i −0.328294 + 0.189541i
\(520\) 6.31304e13 1.66044
\(521\) 4.53273e13 2.61697e13i 1.18079 0.681727i 0.224590 0.974453i \(-0.427896\pi\)
0.956196 + 0.292726i \(0.0945625\pi\)
\(522\) 3.12255e11 + 5.40841e11i 0.00805668 + 0.0139546i
\(523\) −1.47439e13 8.51237e12i −0.376793 0.217541i 0.299629 0.954056i \(-0.403137\pi\)
−0.676422 + 0.736514i \(0.736470\pi\)
\(524\) 2.96261e12i 0.0749925i
\(525\) 1.92673e13 3.33720e13i 0.483087 0.836731i
\(526\) 1.16032e12 + 2.00974e12i 0.0288171 + 0.0499126i
\(527\) −8.45800e12 −0.208072
\(528\) 3.63504e12 2.09869e12i 0.0885809 0.0511422i
\(529\) 6.83409e12 1.18370e13i 0.164969 0.285735i
\(530\) −6.97984e12 + 1.20894e13i −0.166904 + 0.289086i
\(531\) −1.85623e12 + 3.21508e12i −0.0439702 + 0.0761587i
\(532\) 3.90828e12 0.0917123
\(533\) −2.70853e13 + 4.69132e13i −0.629649 + 1.09058i
\(534\) 1.96053e13 + 1.13191e13i 0.451510 + 0.260679i
\(535\) −2.35835e13 + 1.36159e13i −0.538070 + 0.310655i
\(536\) −4.87096e13 + 2.81225e13i −1.10101 + 0.635667i
\(537\) −5.43678e13 −1.21750
\(538\) 4.94375e13i 1.09685i
\(539\) −3.49231e13 6.04886e13i −0.767660 1.32963i
\(540\) −2.54097e13 4.40110e13i −0.553390 0.958500i
\(541\) 2.60620e13 4.51408e13i 0.562370 0.974053i −0.434919 0.900469i \(-0.643223\pi\)
0.997289 0.0735834i \(-0.0234435\pi\)
\(542\) 4.64983e13 + 2.68458e13i 0.994125 + 0.573958i
\(543\) 3.84942e13i 0.815447i
\(544\) −6.70875e12 3.87330e12i −0.140814 0.0812992i
\(545\) −3.02058e13 1.74393e13i −0.628214 0.362699i
\(546\) 1.04838e13 + 6.05281e12i 0.216050 + 0.124737i
\(547\) 4.42892e12 + 7.67112e12i 0.0904402 + 0.156647i 0.907696 0.419627i \(-0.137839\pi\)
−0.817256 + 0.576274i \(0.804506\pi\)
\(548\) 3.96946e13i 0.803208i
\(549\) −3.10502e12 + 1.79269e12i −0.0622592 + 0.0359453i
\(550\) −1.19994e14 6.92784e13i −2.38421 1.37653i
\(551\) −5.38447e12 −0.106019
\(552\) −2.04263e13 + 3.53793e13i −0.398560 + 0.690326i
\(553\) 3.14486e13 1.81569e13i 0.608101 0.351087i
\(554\) 1.80438e13 + 3.12529e13i 0.345764 + 0.598882i
\(555\) 8.91139e13i 1.69231i
\(556\) 1.71198e13 + 2.96524e13i 0.322200 + 0.558067i
\(557\) −6.19587e13 −1.15565 −0.577825 0.816161i \(-0.696098\pi\)
−0.577825 + 0.816161i \(0.696098\pi\)
\(558\) 3.54931e12i 0.0656105i
\(559\) 1.24750e13 4.79305e13i 0.228549 0.878119i
\(560\) 2.47369e12 0.0449165
\(561\) 1.69856e13i 0.305680i
\(562\) 9.13219e12 5.27247e12i 0.162890 0.0940443i
\(563\) −1.51715e13 −0.268218 −0.134109 0.990967i \(-0.542817\pi\)
−0.134109 + 0.990967i \(0.542817\pi\)
\(564\) −2.07985e13 + 1.20080e13i −0.364449 + 0.210415i
\(565\) −7.04693e13 1.22056e14i −1.22393 2.11991i
\(566\) 2.13547e13 + 1.23291e13i 0.367630 + 0.212251i
\(567\) 2.40204e13i 0.409888i
\(568\) −2.56070e13 + 4.43527e13i −0.433129 + 0.750202i
\(569\) 3.95492e13 + 6.85013e13i 0.663097 + 1.14852i 0.979798 + 0.199992i \(0.0640915\pi\)
−0.316701 + 0.948525i \(0.602575\pi\)
\(570\) −2.27764e13 −0.378540
\(571\) −1.69343e12 + 9.77704e11i −0.0278989 + 0.0161074i −0.513885 0.857859i \(-0.671794\pi\)
0.485986 + 0.873967i \(0.338461\pi\)
\(572\) −3.17029e13 + 5.49111e13i −0.517749 + 0.896768i
\(573\) 2.93851e13 5.08965e13i 0.475723 0.823977i
\(574\) −1.24071e13 + 2.14897e13i −0.199118 + 0.344882i
\(575\) 1.15356e14 1.83527
\(576\) 1.76944e12 3.06476e12i 0.0279077 0.0483375i
\(577\) −8.27116e12 4.77536e12i −0.129326 0.0746667i 0.433941 0.900941i \(-0.357123\pi\)
−0.563268 + 0.826275i \(0.690456\pi\)
\(578\) 3.46653e13 2.00140e13i 0.537348 0.310238i
\(579\) 6.38781e13 3.68801e13i 0.981656 0.566759i
\(580\) 2.16029e13 0.329134
\(581\) 3.43960e12i 0.0519550i
\(582\) −2.57963e13 4.46805e13i −0.386316 0.669119i
\(583\) −1.88331e13 3.26198e13i −0.279627 0.484327i
\(584\) 1.01627e13 1.76023e13i 0.149605 0.259123i
\(585\) −7.94181e12 4.58521e12i −0.115915 0.0669237i
\(586\) 5.30278e13i 0.767388i
\(587\) 9.83652e13 + 5.67912e13i 1.41140 + 0.814874i 0.995521 0.0945445i \(-0.0301395\pi\)
0.415882 + 0.909418i \(0.363473\pi\)
\(588\) 2.75883e13 + 1.59281e13i 0.392499 + 0.226609i
\(589\) 2.65020e13 + 1.53009e13i 0.373854 + 0.215845i
\(590\) −4.40797e13 7.63483e13i −0.616565 1.06792i
\(591\) 3.77043e13i 0.522942i
\(592\) −3.42606e12 + 1.97804e12i −0.0471180 + 0.0272036i
\(593\) −7.07041e13 4.08210e13i −0.964209 0.556686i −0.0667431 0.997770i \(-0.521261\pi\)
−0.897466 + 0.441084i \(0.854594\pi\)
\(594\) −9.41326e13 −1.27294
\(595\) −5.00516e12 + 8.66919e12i −0.0671171 + 0.116250i
\(596\) −5.04541e12 + 2.91297e12i −0.0670911 + 0.0387351i
\(597\) −1.10885e12 1.92058e12i −0.0146218 0.0253257i
\(598\) 3.62389e13i 0.473881i
\(599\) −2.58457e13 4.47661e13i −0.335161 0.580517i 0.648354 0.761339i \(-0.275458\pi\)
−0.983516 + 0.180822i \(0.942124\pi\)
\(600\) 1.69772e14 2.18328
\(601\) 5.62780e13i 0.717739i −0.933388 0.358870i \(-0.883162\pi\)
0.933388 0.358870i \(-0.116838\pi\)
\(602\) 5.71445e12 2.19557e13i 0.0722756 0.277693i
\(603\) 8.17022e12 0.102482
\(604\) 2.25947e13i 0.281074i
\(605\) 3.41785e14 1.97330e14i 4.21674 2.43454i
\(606\) 5.49976e12 0.0672947
\(607\) 2.60087e13 1.50161e13i 0.315628 0.182228i −0.333814 0.942639i \(-0.608336\pi\)
0.649442 + 0.760411i \(0.275002\pi\)
\(608\) 1.40140e13 + 2.42729e13i 0.168672 + 0.292149i
\(609\) 9.63776e12 + 5.56436e12i 0.115051 + 0.0664246i
\(610\) 8.51416e13i 1.00807i
\(611\) −2.86163e13 + 4.95649e13i −0.336052 + 0.582060i
\(612\) 3.45652e11 + 5.98686e11i 0.00402607 + 0.00697336i
\(613\) 1.27347e14 1.47125 0.735626 0.677388i \(-0.236888\pi\)
0.735626 + 0.677388i \(0.236888\pi\)
\(614\) 4.18367e12 2.41544e12i 0.0479419 0.0276793i
\(615\) −1.05326e14 + 1.82430e14i −1.19718 + 2.07358i
\(616\) −3.90139e13 + 6.75741e13i −0.439862 + 0.761863i
\(617\) 6.47647e11 1.12176e12i 0.00724290 0.0125451i −0.862381 0.506259i \(-0.831028\pi\)
0.869624 + 0.493714i \(0.164361\pi\)
\(618\) −9.61225e13 −1.06631
\(619\) 4.15477e13 7.19627e13i 0.457186 0.791870i −0.541625 0.840621i \(-0.682191\pi\)
0.998811 + 0.0487503i \(0.0155239\pi\)
\(620\) −1.06328e14 6.13886e13i −1.16062 0.670084i
\(621\) 6.78707e13 3.91852e13i 0.734893 0.424291i
\(622\) −8.14943e13 + 4.70508e13i −0.875337 + 0.505376i
\(623\) −3.59986e13 −0.383570
\(624\) 4.56218e12i 0.0482224i
\(625\) −8.51010e13 1.47399e14i −0.892348 1.54559i
\(626\) 1.92808e13 + 3.33953e13i 0.200564 + 0.347388i
\(627\) 3.07278e13 5.32221e13i 0.317098 0.549230i
\(628\) 8.92442e12 + 5.15252e12i 0.0913654 + 0.0527499i
\(629\) 1.60091e13i 0.162597i
\(630\) −3.63793e12 2.10036e12i −0.0366566 0.0211637i
\(631\) −1.31143e14 7.57153e13i −1.31098 0.756897i −0.328724 0.944426i \(-0.606619\pi\)
−0.982259 + 0.187529i \(0.939952\pi\)
\(632\) 1.38553e14 + 7.99934e13i 1.37414 + 0.793357i
\(633\) 5.46012e13 + 9.45720e13i 0.537259 + 0.930559i
\(634\) 8.66015e12i 0.0845432i
\(635\) −2.87294e14 + 1.65869e14i −2.78265 + 1.60656i
\(636\) 1.48776e13 + 8.58960e12i 0.142971 + 0.0825444i
\(637\) 7.59164e13 0.723833
\(638\) 2.00075e13 3.46539e13i 0.189273 0.327830i
\(639\) 6.44273e12 3.71971e12i 0.0604736 0.0349145i
\(640\) −5.28043e13 9.14598e13i −0.491779 0.851786i
\(641\) 4.52084e13i 0.417762i 0.977941 + 0.208881i \(0.0669821\pi\)
−0.977941 + 0.208881i \(0.933018\pi\)
\(642\) −1.15029e13 1.99237e13i −0.105471 0.182681i
\(643\) −1.89322e14 −1.72245 −0.861223 0.508227i \(-0.830301\pi\)
−0.861223 + 0.508227i \(0.830301\pi\)
\(644\) 2.41811e13i 0.218296i
\(645\) 4.85111e13 1.86386e14i 0.434552 1.66961i
\(646\) 4.09173e12 0.0363701
\(647\) 1.96565e14i 1.73374i 0.498534 + 0.866870i \(0.333872\pi\)
−0.498534 + 0.866870i \(0.666128\pi\)
\(648\) 9.16482e13 5.29131e13i 0.802138 0.463115i
\(649\) 2.37873e14 2.06596
\(650\) 1.30422e14 7.52994e13i 1.12405 0.648970i
\(651\) −3.16243e13 5.47749e13i −0.270468 0.468464i
\(652\) 5.42489e13 + 3.13206e13i 0.460418 + 0.265823i
\(653\) 6.87492e13i 0.579031i −0.957173 0.289515i \(-0.906506\pi\)
0.957173 0.289515i \(-0.0934942\pi\)
\(654\) 1.47330e13 2.55183e13i 0.123141 0.213286i
\(655\) −1.37274e13 2.37765e13i −0.113862 0.197215i
\(656\) −9.35157e12 −0.0769778
\(657\) −2.55694e12 + 1.47625e12i −0.0208878 + 0.0120596i
\(658\) −1.31084e13 + 2.27043e13i −0.106272 + 0.184068i
\(659\) −6.08809e13 + 1.05449e14i −0.489840 + 0.848427i −0.999932 0.0116926i \(-0.996278\pi\)
0.510092 + 0.860120i \(0.329611\pi\)
\(660\) −1.23282e14 + 2.13531e14i −0.984421 + 1.70507i
\(661\) −6.68969e13 −0.530150 −0.265075 0.964228i \(-0.585397\pi\)
−0.265075 + 0.964228i \(0.585397\pi\)
\(662\) −7.07005e13 + 1.22457e14i −0.556074 + 0.963148i
\(663\) −1.59884e13 9.23090e12i −0.124807 0.0720571i
\(664\) 1.31236e13 7.57690e12i 0.101674 0.0587017i
\(665\) 3.13660e13 1.81092e13i 0.241185 0.139248i
\(666\) 6.71805e12 0.0512710
\(667\) 3.33145e13i 0.252351i
\(668\) 4.99918e13 + 8.65883e13i 0.375852 + 0.650994i
\(669\) −7.58550e13 1.31385e14i −0.566049 0.980425i
\(670\) −9.70088e13 + 1.68024e14i −0.718517 + 1.24451i
\(671\) 1.98952e14 + 1.14865e14i 1.46263 + 0.844452i
\(672\) 5.79287e13i 0.422715i
\(673\) −1.26888e14 7.32589e13i −0.919063 0.530621i −0.0357272 0.999362i \(-0.511375\pi\)
−0.883336 + 0.468740i \(0.844708\pi\)
\(674\) −1.05996e14 6.11971e13i −0.762065 0.439978i
\(675\) −2.82052e14 1.62843e14i −2.01284 1.16212i
\(676\) 7.39414e12 + 1.28070e13i 0.0523787 + 0.0907225i
\(677\) 8.83561e13i 0.621289i −0.950526 0.310644i \(-0.899455\pi\)
0.950526 0.310644i \(-0.100545\pi\)
\(678\) 1.03115e14 5.95335e13i 0.719737 0.415540i
\(679\) 7.10495e13 + 4.10204e13i 0.492280 + 0.284218i
\(680\) −4.41023e13 −0.303331
\(681\) −2.86333e13 + 4.95943e13i −0.195495 + 0.338607i
\(682\) −1.96951e14 + 1.13710e14i −1.33486 + 0.770682i
\(683\) −8.68203e13 1.50377e14i −0.584141 1.01176i −0.994982 0.100055i \(-0.968098\pi\)
0.410841 0.911707i \(-0.365235\pi\)
\(684\) 2.50121e12i 0.0167059i
\(685\) 1.83926e14 + 3.18570e14i 1.21953 + 2.11228i
\(686\) 7.83685e13 0.515847
\(687\) 8.04629e13i 0.525789i
\(688\) 8.24256e12 2.27211e12i 0.0534712 0.0147397i
\(689\) 4.09397e13 0.263662
\(690\) 1.40921e14i 0.901013i
\(691\) 3.35052e13 1.93442e13i 0.212678 0.122790i −0.389878 0.920867i \(-0.627483\pi\)
0.602555 + 0.798077i \(0.294149\pi\)
\(692\) 3.72254e13 0.234590
\(693\) 9.81591e12 5.66722e12i 0.0614136 0.0354571i
\(694\) −4.69709e13 8.13559e13i −0.291764 0.505350i
\(695\) 2.74791e14 + 1.58651e14i 1.69465 + 0.978404i
\(696\) 4.90296e13i 0.300201i
\(697\) 1.89216e13 3.27731e13i 0.115025 0.199229i
\(698\) −6.47681e13 1.12182e14i −0.390917 0.677087i
\(699\) 1.94924e14 1.16810
\(700\) −8.70268e13 + 5.02450e13i −0.517801 + 0.298953i
\(701\) −3.15498e13 + 5.46459e13i −0.186383 + 0.322825i −0.944042 0.329826i \(-0.893010\pi\)
0.757658 + 0.652651i \(0.226343\pi\)
\(702\) 5.11568e13 8.86062e13i 0.300067 0.519731i
\(703\) −2.89613e13 + 5.01624e13i −0.168671 + 0.292147i
\(704\) −2.26751e14 −1.31125
\(705\) −1.11279e14 + 1.92741e14i −0.638953 + 1.10670i
\(706\) 7.75018e13 + 4.47457e13i 0.441864 + 0.255110i
\(707\) −7.57386e12 + 4.37277e12i −0.0428766 + 0.0247548i
\(708\) −9.39565e13 + 5.42458e13i −0.528154 + 0.304930i
\(709\) 8.08089e13 0.451054 0.225527 0.974237i \(-0.427590\pi\)
0.225527 + 0.974237i \(0.427590\pi\)
\(710\) 1.76664e14i 0.979163i
\(711\) −1.16200e13 2.01264e13i −0.0639524 0.110769i
\(712\) −7.92992e13 1.37350e14i −0.433380 0.750636i
\(713\) 9.46692e13 1.63972e14i 0.513761 0.889860i
\(714\) −7.32386e12 4.22843e12i −0.0394683 0.0227871i
\(715\) 5.87587e14i 3.14443i
\(716\) 1.22784e14 + 7.08896e13i 0.652497 + 0.376719i
\(717\) −1.93717e14 1.11843e14i −1.02229 0.590217i
\(718\) −1.18844e13 6.86144e12i −0.0622807 0.0359578i
\(719\) 4.78085e11 + 8.28067e11i 0.00248806 + 0.00430944i 0.867267 0.497844i \(-0.165875\pi\)
−0.864779 + 0.502153i \(0.832541\pi\)
\(720\) 1.58310e12i 0.00818176i
\(721\) 1.32373e14 7.64254e13i 0.679395 0.392249i
\(722\) 9.55822e13 + 5.51844e13i 0.487182 + 0.281275i
\(723\) −2.51428e14 −1.27269
\(724\) 5.01922e13 8.69354e13i 0.252315 0.437022i
\(725\) 1.19898e14 6.92229e13i 0.598577 0.345589i
\(726\) 1.66707e14 + 2.88745e14i 0.826554 + 1.43163i
\(727\) 8.46647e13i 0.416899i 0.978033 + 0.208449i \(0.0668416\pi\)
−0.978033 + 0.208449i \(0.933158\pi\)
\(728\) −4.24046e13 7.34469e13i −0.207375 0.359184i
\(729\) −2.19882e14 −1.06795
\(730\) 7.01127e13i 0.338207i
\(731\) −8.71489e12 + 3.34838e13i −0.0417518 + 0.160416i
\(732\) −1.04778e14 −0.498556
\(733\) 2.72995e13i 0.129013i 0.997917 + 0.0645066i \(0.0205474\pi\)
−0.997917 + 0.0645066i \(0.979453\pi\)
\(734\) 9.77629e13 5.64435e13i 0.458874 0.264931i
\(735\) 2.95214e14 1.37626
\(736\) 1.50180e14 8.67065e13i 0.695382 0.401479i
\(737\) −2.61750e14 4.53365e14i −1.20379 2.08502i
\(738\) 1.37529e13 + 7.94023e12i 0.0628220 + 0.0362703i
\(739\) 1.19670e14i 0.542954i 0.962445 + 0.271477i \(0.0875121\pi\)
−0.962445 + 0.271477i \(0.912488\pi\)
\(740\) 1.16195e14 2.01255e14i 0.523634 0.906961i
\(741\) 3.33983e13 + 5.78476e13i 0.149497 + 0.258937i
\(742\) 1.87534e13 0.0833796
\(743\) 4.11804e13 2.37755e13i 0.181864 0.104999i −0.406304 0.913738i \(-0.633183\pi\)
0.588168 + 0.808739i \(0.299849\pi\)
\(744\) 1.39327e14 2.41321e14i 0.611180 1.05860i
\(745\) −2.69947e13 + 4.67562e13i −0.117624 + 0.203731i
\(746\) 1.16621e14 2.01993e14i 0.504756 0.874264i
\(747\) −2.20126e12 −0.00946387
\(748\) 2.21474e13 3.83603e13i 0.0945832 0.163823i
\(749\) 3.16819e13 + 1.82916e13i 0.134401 + 0.0775965i
\(750\) 2.80960e14 1.62213e14i 1.18397 0.683563i
\(751\) 1.52262e14 8.79088e13i 0.637372 0.367987i −0.146229 0.989251i \(-0.546714\pi\)
0.783602 + 0.621264i \(0.213380\pi\)
\(752\) −9.88015e12 −0.0410841
\(753\) 3.18460e14i 1.31547i
\(754\) 2.17463e13 + 3.76657e13i 0.0892336 + 0.154557i
\(755\) 1.04693e14 + 1.81334e14i 0.426760 + 0.739171i
\(756\) −3.41354e13 + 5.91242e13i −0.138228 + 0.239418i
\(757\) −1.08799e14 6.28151e13i −0.437668 0.252688i 0.264940 0.964265i \(-0.414648\pi\)
−0.702608 + 0.711577i \(0.747981\pi\)
\(758\) 1.20088e14i 0.479903i
\(759\) −3.29293e14 1.90117e14i −1.30730 0.754767i
\(760\) 1.38189e14 + 7.97833e13i 0.545010 + 0.314662i
\(761\) 3.15456e14 + 1.82129e14i 1.23599 +