Properties

Label 43.11.d.a.7.12
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 7.12
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.25

$q$-expansion

\(f(q)\) \(=\) \(q-25.0169i q^{2} +(171.910 - 99.2521i) q^{3} +398.154 q^{4} +(3482.07 - 2010.37i) q^{5} +(-2482.98 - 4300.65i) q^{6} +(-9759.68 - 5634.76i) q^{7} -35577.9i q^{8} +(-9822.54 + 17013.1i) q^{9} +O(q^{10})\) \(q-25.0169i q^{2} +(171.910 - 99.2521i) q^{3} +398.154 q^{4} +(3482.07 - 2010.37i) q^{5} +(-2482.98 - 4300.65i) q^{6} +(-9759.68 - 5634.76i) q^{7} -35577.9i q^{8} +(-9822.54 + 17013.1i) q^{9} +(-50293.3 - 87110.6i) q^{10} -142767. q^{11} +(68446.5 - 39517.6i) q^{12} +(126077. - 218372. i) q^{13} +(-140964. + 244157. i) q^{14} +(399068. - 691205. i) q^{15} -482341. q^{16} +(86105.3 - 149139. i) q^{17} +(425616. + 245730. i) q^{18} +(2.68849e6 - 1.55220e6i) q^{19} +(1.38640e6 - 800437. i) q^{20} -2.23705e6 q^{21} +3.57158e6i q^{22} +(-3.89319e6 - 6.74320e6i) q^{23} +(-3.53118e6 - 6.11619e6i) q^{24} +(3.20039e6 - 5.54323e6i) q^{25} +(-5.46299e6 - 3.15406e6i) q^{26} +1.56211e7i q^{27} +(-3.88585e6 - 2.24350e6i) q^{28} +(1.54996e7 + 8.94872e6i) q^{29} +(-1.72918e7 - 9.98344e6i) q^{30} +(6.98509e6 + 1.20985e7i) q^{31} -2.43651e7i q^{32} +(-2.45430e7 + 1.41699e7i) q^{33} +(-3.73099e6 - 2.15409e6i) q^{34} -4.53118e7 q^{35} +(-3.91088e6 + 6.77384e6i) q^{36} +(-5.98155e7 + 3.45345e7i) q^{37} +(-3.88313e7 - 6.72579e7i) q^{38} -5.00536e7i q^{39} +(-7.15249e7 - 1.23885e8i) q^{40} -3.51986e7 q^{41} +5.59640e7i q^{42} +(-6.89182e7 - 1.29853e8i) q^{43} -5.68430e7 q^{44} +7.89878e7i q^{45} +(-1.68694e8 + 9.73955e7i) q^{46} +2.13330e8 q^{47} +(-8.29190e7 + 4.78733e7i) q^{48} +(-7.77367e7 - 1.34644e8i) q^{49} +(-1.38675e8 - 8.00638e7i) q^{50} -3.41845e7i q^{51} +(5.01980e7 - 8.69454e7i) q^{52} +(1.26765e8 + 2.19563e8i) q^{53} +3.90792e8 q^{54} +(-4.97123e8 + 2.87014e8i) q^{55} +(-2.00473e8 + 3.47229e8i) q^{56} +(3.08119e8 - 5.33677e8i) q^{57} +(2.23870e8 - 3.87753e8i) q^{58} +9.65755e8 q^{59} +(1.58890e8 - 2.75206e8i) q^{60} +(-8.29005e8 - 4.78626e8i) q^{61} +(3.02668e8 - 1.74745e8i) q^{62} +(1.91730e8 - 1.10695e8i) q^{63} -1.10346e9 q^{64} -1.01385e9i q^{65} +(3.54487e8 + 6.13989e8i) q^{66} +(9.47058e8 + 1.64035e9i) q^{67} +(3.42831e7 - 5.93801e7i) q^{68} +(-1.33855e9 - 7.72814e8i) q^{69} +1.13356e9i q^{70} +(8.93528e8 + 5.15879e8i) q^{71} +(6.05292e8 + 3.49465e8i) q^{72} +(1.07096e9 + 6.18320e8i) q^{73} +(8.63947e8 + 1.49640e9i) q^{74} -1.27058e9i q^{75} +(1.07043e9 - 6.18015e8i) q^{76} +(1.39336e9 + 8.04455e8i) q^{77} -1.25219e9 q^{78} +(7.32800e8 - 1.26925e9i) q^{79} +(-1.67954e9 + 9.69684e8i) q^{80} +(9.70417e8 + 1.68081e9i) q^{81} +8.80561e8i q^{82} +(3.37652e9 + 5.84830e9i) q^{83} -8.90688e8 q^{84} -6.92415e8i q^{85} +(-3.24852e9 + 1.72412e9i) q^{86} +3.55272e9 q^{87} +5.07934e9i q^{88} +(-2.21219e9 + 1.27721e9i) q^{89} +1.97603e9 q^{90} +(-2.46094e9 + 1.42082e9i) q^{91} +(-1.55009e9 - 2.68483e9i) q^{92} +(2.40161e9 + 1.38657e9i) q^{93} -5.33686e9i q^{94} +(6.24101e9 - 1.08098e10i) q^{95} +(-2.41829e9 - 4.18860e9i) q^{96} +3.85226e9 q^{97} +(-3.36838e9 + 1.94473e9i) q^{98} +(1.40233e9 - 2.42891e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 25.0169i 0.781779i −0.920438 0.390889i \(-0.872167\pi\)
0.920438 0.390889i \(-0.127833\pi\)
\(3\) 171.910 99.2521i 0.707447 0.408445i −0.102668 0.994716i \(-0.532738\pi\)
0.810115 + 0.586271i \(0.199405\pi\)
\(4\) 398.154 0.388822
\(5\) 3482.07 2010.37i 1.11426 0.643319i 0.174332 0.984687i \(-0.444223\pi\)
0.939930 + 0.341368i \(0.110890\pi\)
\(6\) −2482.98 4300.65i −0.319314 0.553067i
\(7\) −9759.68 5634.76i −0.580692 0.335262i 0.180717 0.983535i \(-0.442158\pi\)
−0.761408 + 0.648273i \(0.775492\pi\)
\(8\) 35577.9i 1.08575i
\(9\) −9822.54 + 17013.1i −0.166346 + 0.288119i
\(10\) −50293.3 87110.6i −0.502933 0.871106i
\(11\) −142767. −0.886468 −0.443234 0.896406i \(-0.646169\pi\)
−0.443234 + 0.896406i \(0.646169\pi\)
\(12\) 68446.5 39517.6i 0.275071 0.158812i
\(13\) 126077. 218372.i 0.339562 0.588138i −0.644789 0.764361i \(-0.723055\pi\)
0.984350 + 0.176223i \(0.0563879\pi\)
\(14\) −140964. + 244157.i −0.262101 + 0.453972i
\(15\) 399068. 691205.i 0.525521 0.910229i
\(16\) −482341. −0.459996
\(17\) 86105.3 149139.i 0.0606436 0.105038i −0.834110 0.551599i \(-0.814018\pi\)
0.894753 + 0.446561i \(0.147351\pi\)
\(18\) 425616. + 245730.i 0.225245 + 0.130045i
\(19\) 2.68849e6 1.55220e6i 1.08578 0.626874i 0.153329 0.988175i \(-0.451001\pi\)
0.932449 + 0.361301i \(0.117667\pi\)
\(20\) 1.38640e6 800437.i 0.433249 0.250137i
\(21\) −2.23705e6 −0.547745
\(22\) 3.57158e6i 0.693022i
\(23\) −3.89319e6 6.74320e6i −0.604875 1.04767i −0.992071 0.125677i \(-0.959890\pi\)
0.387196 0.921998i \(-0.373444\pi\)
\(24\) −3.53118e6 6.11619e6i −0.443470 0.768112i
\(25\) 3.20039e6 5.54323e6i 0.327720 0.567627i
\(26\) −5.46299e6 3.15406e6i −0.459794 0.265462i
\(27\) 1.56211e7i 1.08866i
\(28\) −3.88585e6 2.24350e6i −0.225786 0.130357i
\(29\) 1.54996e7 + 8.94872e6i 0.755669 + 0.436286i 0.827739 0.561114i \(-0.189627\pi\)
−0.0720695 + 0.997400i \(0.522960\pi\)
\(30\) −1.72918e7 9.98344e6i −0.711598 0.410841i
\(31\) 6.98509e6 + 1.20985e7i 0.243985 + 0.422595i 0.961846 0.273592i \(-0.0882118\pi\)
−0.717861 + 0.696187i \(0.754878\pi\)
\(32\) 2.43651e7i 0.726137i
\(33\) −2.45430e7 + 1.41699e7i −0.627129 + 0.362073i
\(34\) −3.73099e6 2.15409e6i −0.0821164 0.0474099i
\(35\) −4.53118e7 −0.862723
\(36\) −3.91088e6 + 6.77384e6i −0.0646788 + 0.112027i
\(37\) −5.98155e7 + 3.45345e7i −0.862591 + 0.498017i −0.864879 0.501980i \(-0.832605\pi\)
0.00228780 + 0.999997i \(0.499272\pi\)
\(38\) −3.88313e7 6.72579e7i −0.490077 0.848838i
\(39\) 5.00536e7i 0.554769i
\(40\) −7.15249e7 1.23885e8i −0.698485 1.20981i
\(41\) −3.51986e7 −0.303813 −0.151907 0.988395i \(-0.548541\pi\)
−0.151907 + 0.988395i \(0.548541\pi\)
\(42\) 5.59640e7i 0.428215i
\(43\) −6.89182e7 1.29853e8i −0.468805 0.883302i
\(44\) −5.68430e7 −0.344678
\(45\) 7.89878e7i 0.428053i
\(46\) −1.68694e8 + 9.73955e7i −0.819050 + 0.472879i
\(47\) 2.13330e8 0.930171 0.465086 0.885266i \(-0.346024\pi\)
0.465086 + 0.885266i \(0.346024\pi\)
\(48\) −8.29190e7 + 4.78733e7i −0.325423 + 0.187883i
\(49\) −7.77367e7 1.34644e8i −0.275198 0.476657i
\(50\) −1.38675e8 8.00638e7i −0.443759 0.256204i
\(51\) 3.41845e7i 0.0990783i
\(52\) 5.01980e7 8.69454e7i 0.132029 0.228681i
\(53\) 1.26765e8 + 2.19563e8i 0.303124 + 0.525026i 0.976842 0.213963i \(-0.0686371\pi\)
−0.673718 + 0.738989i \(0.735304\pi\)
\(54\) 3.90792e8 0.851093
\(55\) −4.97123e8 + 2.87014e8i −0.987757 + 0.570282i
\(56\) −2.00473e8 + 3.47229e8i −0.364012 + 0.630487i
\(57\) 3.08119e8 5.33677e8i 0.512087 0.886961i
\(58\) 2.23870e8 3.87753e8i 0.341079 0.590766i
\(59\) 9.65755e8 1.35085 0.675424 0.737429i \(-0.263960\pi\)
0.675424 + 0.737429i \(0.263960\pi\)
\(60\) 1.58890e8 2.75206e8i 0.204334 0.353917i
\(61\) −8.29005e8 4.78626e8i −0.981540 0.566692i −0.0788051 0.996890i \(-0.525110\pi\)
−0.902735 + 0.430198i \(0.858444\pi\)
\(62\) 3.02668e8 1.74745e8i 0.330376 0.190743i
\(63\) 1.91730e8 1.10695e8i 0.193191 0.111539i
\(64\) −1.10346e9 −1.02767
\(65\) 1.01385e9i 0.873787i
\(66\) 3.54487e8 + 6.13989e8i 0.283061 + 0.490277i
\(67\) 9.47058e8 + 1.64035e9i 0.701460 + 1.21496i 0.967954 + 0.251127i \(0.0808012\pi\)
−0.266495 + 0.963836i \(0.585865\pi\)
\(68\) 3.42831e7 5.93801e7i 0.0235796 0.0408410i
\(69\) −1.33855e9 7.72814e8i −0.855835 0.494117i
\(70\) 1.13356e9i 0.674459i
\(71\) 8.93528e8 + 5.15879e8i 0.495241 + 0.285927i 0.726746 0.686906i \(-0.241032\pi\)
−0.231505 + 0.972834i \(0.574365\pi\)
\(72\) 6.05292e8 + 3.49465e8i 0.312826 + 0.180610i
\(73\) 1.07096e9 + 6.18320e8i 0.516606 + 0.298263i 0.735545 0.677476i \(-0.236926\pi\)
−0.218939 + 0.975739i \(0.570259\pi\)
\(74\) 8.63947e8 + 1.49640e9i 0.389339 + 0.674356i
\(75\) 1.27058e9i 0.535422i
\(76\) 1.07043e9 6.18015e8i 0.422174 0.243742i
\(77\) 1.39336e9 + 8.04455e8i 0.514764 + 0.297199i
\(78\) −1.25219e9 −0.433707
\(79\) 7.32800e8 1.26925e9i 0.238150 0.412488i −0.722034 0.691858i \(-0.756792\pi\)
0.960183 + 0.279370i \(0.0901257\pi\)
\(80\) −1.67954e9 + 9.69684e8i −0.512556 + 0.295924i
\(81\) 9.70417e8 + 1.68081e9i 0.278313 + 0.482052i
\(82\) 8.80561e8i 0.237515i
\(83\) 3.37652e9 + 5.84830e9i 0.857192 + 1.48470i 0.874596 + 0.484852i \(0.161127\pi\)
−0.0174038 + 0.999849i \(0.505540\pi\)
\(84\) −8.90688e8 −0.212975
\(85\) 6.92415e8i 0.156053i
\(86\) −3.24852e9 + 1.72412e9i −0.690547 + 0.366502i
\(87\) 3.55272e9 0.712795
\(88\) 5.07934e9i 0.962484i
\(89\) −2.21219e9 + 1.27721e9i −0.396161 + 0.228724i −0.684826 0.728706i \(-0.740122\pi\)
0.288665 + 0.957430i \(0.406789\pi\)
\(90\) 1.97603e9 0.334643
\(91\) −2.46094e9 + 1.42082e9i −0.394361 + 0.227685i
\(92\) −1.55009e9 2.68483e9i −0.235189 0.407359i
\(93\) 2.40161e9 + 1.38657e9i 0.345213 + 0.199309i
\(94\) 5.33686e9i 0.727188i
\(95\) 6.24101e9 1.08098e10i 0.806561 1.39700i
\(96\) −2.41829e9 4.18860e9i −0.296587 0.513703i
\(97\) 3.85226e9 0.448598 0.224299 0.974520i \(-0.427991\pi\)
0.224299 + 0.974520i \(0.427991\pi\)
\(98\) −3.36838e9 + 1.94473e9i −0.372641 + 0.215144i
\(99\) 1.40233e9 2.42891e9i 0.147460 0.255408i
\(100\) 1.27425e9 2.20706e9i 0.127425 0.220706i
\(101\) 1.34924e9 2.33694e9i 0.128375 0.222352i −0.794672 0.607039i \(-0.792357\pi\)
0.923047 + 0.384687i \(0.125691\pi\)
\(102\) −8.55191e8 −0.0774573
\(103\) 2.13552e9 3.69882e9i 0.184212 0.319064i −0.759099 0.650975i \(-0.774360\pi\)
0.943311 + 0.331911i \(0.107694\pi\)
\(104\) −7.76920e9 4.48555e9i −0.638572 0.368680i
\(105\) −7.78955e9 + 4.49730e9i −0.610331 + 0.352375i
\(106\) 5.49280e9 3.17127e9i 0.410454 0.236976i
\(107\) −6.25523e9 −0.445990 −0.222995 0.974820i \(-0.571583\pi\)
−0.222995 + 0.974820i \(0.571583\pi\)
\(108\) 6.21960e9i 0.423295i
\(109\) −4.20411e9 7.28174e9i −0.273239 0.473263i 0.696451 0.717605i \(-0.254761\pi\)
−0.969689 + 0.244342i \(0.921428\pi\)
\(110\) 7.18021e9 + 1.24365e10i 0.445834 + 0.772208i
\(111\) −6.85524e9 + 1.18736e10i −0.406825 + 0.704642i
\(112\) 4.70749e9 + 2.71787e9i 0.267116 + 0.154219i
\(113\) 3.16772e10i 1.71931i −0.510874 0.859656i \(-0.670678\pi\)
0.510874 0.859656i \(-0.329322\pi\)
\(114\) −1.33510e10 7.70818e9i −0.693407 0.400339i
\(115\) −2.71127e10 1.56535e10i −1.34798 0.778256i
\(116\) 6.17124e9 + 3.56297e9i 0.293821 + 0.169637i
\(117\) 2.47679e9 + 4.28993e9i 0.112969 + 0.195668i
\(118\) 2.41602e10i 1.05607i
\(119\) −1.68072e9 + 9.70364e8i −0.0704305 + 0.0406631i
\(120\) −2.45916e10 1.41980e10i −0.988283 0.570585i
\(121\) −5.55514e9 −0.214175
\(122\) −1.19738e10 + 2.07392e10i −0.443028 + 0.767347i
\(123\) −6.05099e9 + 3.49354e9i −0.214932 + 0.124091i
\(124\) 2.78114e9 + 4.81707e9i 0.0948668 + 0.164314i
\(125\) 1.35292e10i 0.443325i
\(126\) −2.76925e9 4.79649e9i −0.0871987 0.151033i
\(127\) 6.43736e10 1.94845 0.974225 0.225579i \(-0.0724272\pi\)
0.974225 + 0.225579i \(0.0724272\pi\)
\(128\) 2.65523e9i 0.0772773i
\(129\) −2.47359e10 1.54827e10i −0.692435 0.433409i
\(130\) −2.53633e10 −0.683108
\(131\) 4.00483e10i 1.03807i 0.854752 + 0.519036i \(0.173709\pi\)
−0.854752 + 0.519036i \(0.826291\pi\)
\(132\) −9.77186e9 + 5.64179e9i −0.243842 + 0.140782i
\(133\) −3.49851e10 −0.840670
\(134\) 4.10366e10 2.36925e10i 0.949833 0.548386i
\(135\) 3.14043e10 + 5.43938e10i 0.700357 + 1.21305i
\(136\) −5.30604e9 3.06344e9i −0.114045 0.0658439i
\(137\) 3.50832e10i 0.726937i 0.931607 + 0.363468i \(0.118407\pi\)
−0.931607 + 0.363468i \(0.881593\pi\)
\(138\) −1.93334e10 + 3.34865e10i −0.386290 + 0.669074i
\(139\) 1.78783e10 + 3.09661e10i 0.344550 + 0.596778i 0.985272 0.170995i \(-0.0546981\pi\)
−0.640722 + 0.767773i \(0.721365\pi\)
\(140\) −1.80411e10 −0.335446
\(141\) 3.66735e10 2.11735e10i 0.658047 0.379924i
\(142\) 1.29057e10 2.23533e10i 0.223532 0.387169i
\(143\) −1.79996e10 + 3.11762e10i −0.301011 + 0.521366i
\(144\) 4.73781e9 8.20612e9i 0.0765182 0.132533i
\(145\) 7.19611e10 1.12268
\(146\) 1.54685e10 2.67922e10i 0.233176 0.403872i
\(147\) −2.67274e10 1.54311e10i −0.389376 0.224807i
\(148\) −2.38158e10 + 1.37500e10i −0.335394 + 0.193640i
\(149\) 4.50823e10 2.60283e10i 0.613867 0.354416i −0.160610 0.987018i \(-0.551346\pi\)
0.774478 + 0.632601i \(0.218013\pi\)
\(150\) −3.17860e10 −0.418581
\(151\) 5.73516e10i 0.730569i −0.930896 0.365284i \(-0.880972\pi\)
0.930896 0.365284i \(-0.119028\pi\)
\(152\) −5.52241e10 9.56510e10i −0.680630 1.17889i
\(153\) 1.69154e9 + 2.92984e9i 0.0201756 + 0.0349451i
\(154\) 2.01250e10 3.48575e10i 0.232344 0.402432i
\(155\) 4.86451e10 + 2.80853e10i 0.543727 + 0.313921i
\(156\) 1.99290e10i 0.215706i
\(157\) 3.53306e10 + 2.03981e10i 0.370384 + 0.213841i 0.673626 0.739072i \(-0.264736\pi\)
−0.303242 + 0.952914i \(0.598069\pi\)
\(158\) −3.17527e10 1.83324e10i −0.322474 0.186181i
\(159\) 4.35843e10 + 2.51634e10i 0.428888 + 0.247619i
\(160\) −4.89829e10 8.48409e10i −0.467138 0.809106i
\(161\) 8.77486e10i 0.811168i
\(162\) 4.20487e10 2.42768e10i 0.376858 0.217579i
\(163\) 1.14713e11 + 6.62297e10i 0.996955 + 0.575592i 0.907346 0.420385i \(-0.138105\pi\)
0.0896089 + 0.995977i \(0.471438\pi\)
\(164\) −1.40145e10 −0.118129
\(165\) −5.69735e10 + 9.86810e10i −0.465858 + 0.806889i
\(166\) 1.46306e11 8.44700e10i 1.16071 0.670135i
\(167\) 2.90581e10 + 5.03301e10i 0.223710 + 0.387477i 0.955932 0.293590i \(-0.0948499\pi\)
−0.732222 + 0.681066i \(0.761517\pi\)
\(168\) 7.95894e10i 0.594715i
\(169\) 3.71385e10 + 6.43257e10i 0.269396 + 0.466607i
\(170\) −1.73221e10 −0.121999
\(171\) 6.09863e10i 0.417111i
\(172\) −2.74400e10 5.17014e10i −0.182281 0.343447i
\(173\) 1.62528e11 1.04881 0.524406 0.851469i \(-0.324288\pi\)
0.524406 + 0.851469i \(0.324288\pi\)
\(174\) 8.88781e10i 0.557248i
\(175\) −6.24695e10 + 3.60668e10i −0.380608 + 0.219744i
\(176\) 6.88621e10 0.407772
\(177\) 1.66023e11 9.58532e10i 0.955654 0.551747i
\(178\) 3.19518e10 + 5.53422e10i 0.178812 + 0.309711i
\(179\) 1.26809e11 + 7.32134e10i 0.690059 + 0.398406i 0.803634 0.595124i \(-0.202897\pi\)
−0.113575 + 0.993529i \(0.536230\pi\)
\(180\) 3.14493e10i 0.166436i
\(181\) −6.23387e10 + 1.07974e11i −0.320897 + 0.555809i −0.980673 0.195653i \(-0.937318\pi\)
0.659777 + 0.751462i \(0.270651\pi\)
\(182\) 3.55447e10 + 6.15652e10i 0.177999 + 0.308303i
\(183\) −1.90019e11 −0.925850
\(184\) −2.39909e11 + 1.38511e11i −1.13751 + 0.656744i
\(185\) −1.38854e11 + 2.40503e11i −0.640768 + 1.10984i
\(186\) 3.46877e10 6.00809e10i 0.155816 0.269881i
\(187\) −1.22930e10 + 2.12920e10i −0.0537586 + 0.0931127i
\(188\) 8.49381e10 0.361671
\(189\) 8.80211e10 1.52457e11i 0.364987 0.632177i
\(190\) −2.70427e11 1.56131e11i −1.09215 0.630552i
\(191\) −2.00528e11 + 1.15775e11i −0.788875 + 0.455457i −0.839567 0.543257i \(-0.817191\pi\)
0.0506910 + 0.998714i \(0.483858\pi\)
\(192\) −1.89695e11 + 1.09520e11i −0.727025 + 0.419748i
\(193\) −2.43304e11 −0.908580 −0.454290 0.890854i \(-0.650107\pi\)
−0.454290 + 0.890854i \(0.650107\pi\)
\(194\) 9.63717e10i 0.350704i
\(195\) −1.00626e11 1.74290e11i −0.356894 0.618158i
\(196\) −3.09511e10 5.36089e10i −0.107003 0.185335i
\(197\) 1.71039e11 2.96248e11i 0.576452 0.998444i −0.419430 0.907788i \(-0.637770\pi\)
0.995882 0.0906564i \(-0.0288965\pi\)
\(198\) −6.07638e10 3.50820e10i −0.199673 0.115281i
\(199\) 5.68969e11i 1.82315i −0.411128 0.911577i \(-0.634865\pi\)
0.411128 0.911577i \(-0.365135\pi\)
\(200\) −1.97217e11 1.13863e11i −0.616302 0.355822i
\(201\) 3.25617e11 + 1.87995e11i 0.992491 + 0.573015i
\(202\) −5.84632e10 3.37537e10i −0.173830 0.100361i
\(203\) −1.00848e11 1.74673e11i −0.292540 0.506695i
\(204\) 1.36107e10i 0.0385238i
\(205\) −1.22564e11 + 7.07624e10i −0.338527 + 0.195449i
\(206\) −9.25332e10 5.34241e10i −0.249437 0.144013i
\(207\) 1.52964e11 0.402473
\(208\) −6.08120e10 + 1.05329e11i −0.156197 + 0.270541i
\(209\) −3.83827e11 + 2.21603e11i −0.962508 + 0.555704i
\(210\) 1.12509e11 + 1.94870e11i 0.275479 + 0.477144i
\(211\) 1.87935e11i 0.449362i −0.974432 0.224681i \(-0.927866\pi\)
0.974432 0.224681i \(-0.0721339\pi\)
\(212\) 5.04719e10 + 8.74200e10i 0.117861 + 0.204142i
\(213\) 2.04808e11 0.467142
\(214\) 1.56487e11i 0.348665i
\(215\) −5.01031e11 3.13605e11i −1.09062 0.682638i
\(216\) 5.55766e11 1.18202
\(217\) 1.57437e11i 0.327196i
\(218\) −1.82167e11 + 1.05174e11i −0.369987 + 0.213612i
\(219\) 2.45478e11 0.487296
\(220\) −1.97931e11 + 1.14276e11i −0.384062 + 0.221738i
\(221\) −2.17118e10 3.76059e10i −0.0411845 0.0713336i
\(222\) 2.97042e11 + 1.71497e11i 0.550874 + 0.318047i
\(223\) 9.59786e11i 1.74040i −0.492695 0.870202i \(-0.663988\pi\)
0.492695 0.870202i \(-0.336012\pi\)
\(224\) −1.37291e11 + 2.37796e11i −0.243446 + 0.421661i
\(225\) 6.28718e10 + 1.08897e11i 0.109029 + 0.188844i
\(226\) −7.92466e11 −1.34412
\(227\) −2.16992e11 + 1.25281e11i −0.360010 + 0.207852i −0.669085 0.743186i \(-0.733314\pi\)
0.309075 + 0.951038i \(0.399981\pi\)
\(228\) 1.22679e11 2.12486e11i 0.199111 0.344870i
\(229\) −1.54346e11 + 2.67335e11i −0.245085 + 0.424500i −0.962156 0.272500i \(-0.912149\pi\)
0.717070 + 0.697001i \(0.245483\pi\)
\(230\) −3.91603e11 + 6.78276e11i −0.608424 + 1.05382i
\(231\) 3.19375e11 0.485558
\(232\) 3.18377e11 5.51445e11i 0.473698 0.820469i
\(233\) 1.15109e12 + 6.64581e11i 1.67621 + 0.967762i 0.964040 + 0.265759i \(0.0856225\pi\)
0.712174 + 0.702003i \(0.247711\pi\)
\(234\) 1.07321e11 6.19617e10i 0.152969 0.0883169i
\(235\) 7.42830e11 4.28873e11i 1.03645 0.598397i
\(236\) 3.84519e11 0.525240
\(237\) 2.90928e11i 0.389084i
\(238\) 2.42755e10 + 4.20464e10i 0.0317895 + 0.0550611i
\(239\) 1.25760e11 + 2.17822e11i 0.161269 + 0.279326i 0.935324 0.353792i \(-0.115108\pi\)
−0.774055 + 0.633118i \(0.781775\pi\)
\(240\) −1.92486e11 + 3.33396e11i −0.241737 + 0.418702i
\(241\) −4.68369e11 2.70413e11i −0.576107 0.332615i 0.183478 0.983024i \(-0.441264\pi\)
−0.759585 + 0.650408i \(0.774598\pi\)
\(242\) 1.38972e11i 0.167437i
\(243\) −4.65183e11 2.68573e11i −0.549025 0.316980i
\(244\) −3.30071e11 1.90567e11i −0.381644 0.220342i
\(245\) −5.41369e11 3.12559e11i −0.613286 0.354081i
\(246\) 8.73976e10 + 1.51377e11i 0.0970116 + 0.168029i
\(247\) 7.82788e11i 0.851450i
\(248\) 4.30440e11 2.48515e11i 0.458833 0.264907i
\(249\) 1.16091e12 + 6.70253e11i 1.21284 + 0.700232i
\(250\) 3.38459e11 0.346582
\(251\) −2.58237e11 + 4.47279e11i −0.259209 + 0.448963i −0.966030 0.258429i \(-0.916795\pi\)
0.706821 + 0.707392i \(0.250128\pi\)
\(252\) 7.63378e10 4.40737e10i 0.0751168 0.0433687i
\(253\) 5.55817e11 + 9.62703e11i 0.536203 + 0.928730i
\(254\) 1.61043e12i 1.52326i
\(255\) −6.87236e10 1.19033e11i −0.0637390 0.110399i
\(256\) −1.06351e12 −0.967260
\(257\) 1.53682e12i 1.37074i 0.728194 + 0.685372i \(0.240360\pi\)
−0.728194 + 0.685372i \(0.759640\pi\)
\(258\) −3.87329e11 + 6.18816e11i −0.338830 + 0.541331i
\(259\) 7.78374e11 0.667866
\(260\) 4.03666e11i 0.339747i
\(261\) −3.04492e11 + 1.75798e11i −0.251404 + 0.145148i
\(262\) 1.00189e12 0.811543
\(263\) −1.54435e12 + 8.91633e11i −1.22735 + 0.708610i −0.966475 0.256762i \(-0.917344\pi\)
−0.260875 + 0.965373i \(0.584011\pi\)
\(264\) 5.04135e11 + 8.73187e11i 0.393122 + 0.680907i
\(265\) 8.82809e11 + 5.09690e11i 0.675519 + 0.390011i
\(266\) 8.75220e11i 0.657218i
\(267\) −2.53531e11 + 4.39129e11i −0.186842 + 0.323620i
\(268\) 3.77075e11 + 6.53112e11i 0.272743 + 0.472404i
\(269\) −7.02700e11 −0.498894 −0.249447 0.968388i \(-0.580249\pi\)
−0.249447 + 0.968388i \(0.580249\pi\)
\(270\) 1.36076e12 7.85638e11i 0.948340 0.547524i
\(271\) −2.92972e11 + 5.07442e11i −0.200438 + 0.347168i −0.948670 0.316269i \(-0.897570\pi\)
0.748232 + 0.663437i \(0.230903\pi\)
\(272\) −4.15321e10 + 7.19356e10i −0.0278958 + 0.0483170i
\(273\) −2.82040e11 + 4.88507e11i −0.185993 + 0.322150i
\(274\) 8.77674e11 0.568304
\(275\) −4.56908e11 + 7.91388e11i −0.290513 + 0.503183i
\(276\) −5.32950e11 3.07699e11i −0.332767 0.192123i
\(277\) 1.26587e12 7.30848e11i 0.776227 0.448155i −0.0588645 0.998266i \(-0.518748\pi\)
0.835091 + 0.550111i \(0.185415\pi\)
\(278\) 7.74677e11 4.47260e11i 0.466549 0.269362i
\(279\) −2.74445e11 −0.162343
\(280\) 1.61210e12i 0.936703i
\(281\) −1.25297e12 2.17020e12i −0.715168 1.23871i −0.962895 0.269877i \(-0.913017\pi\)
0.247727 0.968830i \(-0.420316\pi\)
\(282\) −5.29695e11 9.17459e11i −0.297016 0.514447i
\(283\) 1.18597e11 2.05415e11i 0.0653341 0.113162i −0.831508 0.555513i \(-0.812522\pi\)
0.896842 + 0.442351i \(0.145855\pi\)
\(284\) 3.55761e11 + 2.05399e11i 0.192560 + 0.111175i
\(285\) 2.47774e12i 1.31774i
\(286\) 7.79932e11 + 4.50294e11i 0.407593 + 0.235324i
\(287\) 3.43527e11 + 1.98336e11i 0.176422 + 0.101857i
\(288\) 4.14527e11 + 2.39327e11i 0.209214 + 0.120790i
\(289\) 9.93169e11 + 1.72022e12i 0.492645 + 0.853286i
\(290\) 1.80024e12i 0.877691i
\(291\) 6.62241e11 3.82345e11i 0.317359 0.183227i
\(292\) 4.26407e11 + 2.46186e11i 0.200868 + 0.115971i
\(293\) −3.53595e12 −1.63745 −0.818725 0.574185i \(-0.805319\pi\)
−0.818725 + 0.574185i \(0.805319\pi\)
\(294\) −3.86038e11 + 6.68637e11i −0.175749 + 0.304406i
\(295\) 3.36282e12 1.94153e12i 1.50520 0.869027i
\(296\) 1.22867e12 + 2.12811e12i 0.540723 + 0.936560i
\(297\) 2.23017e12i 0.965064i
\(298\) −6.51147e11 1.12782e12i −0.277075 0.479908i
\(299\) −1.96336e12 −0.821570
\(300\) 5.05886e11i 0.208184i
\(301\) −5.90687e10 + 1.65566e12i −0.0239070 + 0.670099i
\(302\) −1.43476e12 −0.571143
\(303\) 5.35658e11i 0.209737i
\(304\) −1.29677e12 + 7.48690e11i −0.499453 + 0.288360i
\(305\) −3.84887e12 −1.45826
\(306\) 7.32956e10 4.23172e10i 0.0273194 0.0157728i
\(307\) 1.90128e12 + 3.29312e12i 0.697197 + 1.20758i 0.969435 + 0.245350i \(0.0789029\pi\)
−0.272238 + 0.962230i \(0.587764\pi\)
\(308\) 5.54770e11 + 3.20296e11i 0.200152 + 0.115558i
\(309\) 8.47818e11i 0.300961i
\(310\) 7.02607e11 1.21695e12i 0.245417 0.425074i
\(311\) −1.35761e12 2.35146e12i −0.466632 0.808230i 0.532642 0.846341i \(-0.321199\pi\)
−0.999274 + 0.0381110i \(0.987866\pi\)
\(312\) −1.78080e12 −0.602341
\(313\) 1.72600e11 9.96505e10i 0.0574537 0.0331709i −0.470998 0.882134i \(-0.656106\pi\)
0.528452 + 0.848963i \(0.322773\pi\)
\(314\) 5.10298e11 8.83862e11i 0.167177 0.289558i
\(315\) 4.45077e11 7.70896e11i 0.143510 0.248567i
\(316\) 2.91767e11 5.05355e11i 0.0925979 0.160384i
\(317\) 4.53151e11 0.141562 0.0707809 0.997492i \(-0.477451\pi\)
0.0707809 + 0.997492i \(0.477451\pi\)
\(318\) 6.29511e11 1.09034e12i 0.193583 0.335296i
\(319\) −2.21283e12 1.27758e12i −0.669876 0.386753i
\(320\) −3.84231e12 + 2.21836e12i −1.14510 + 0.661123i
\(321\) −1.07534e12 + 6.20845e11i −0.315514 + 0.182162i
\(322\) 2.19520e12 0.634154
\(323\) 5.34611e11i 0.152064i
\(324\) 3.86375e11 + 6.69221e11i 0.108214 + 0.187432i
\(325\) −8.06990e11 1.39775e12i −0.222562 0.385489i
\(326\) 1.65686e12 2.86977e12i 0.449986 0.779398i
\(327\) −1.44546e12 8.34534e11i −0.386604 0.223206i
\(328\) 1.25229e12i 0.329866i
\(329\) −2.08203e12 1.20206e12i −0.540143 0.311851i
\(330\) 2.46869e12 + 1.42530e12i 0.630809 + 0.364198i
\(331\) −5.96516e12 3.44399e12i −1.50135 0.866806i −0.999999 0.00156260i \(-0.999503\pi\)
−0.501353 0.865243i \(-0.667164\pi\)
\(332\) 1.34437e12 + 2.32852e12i 0.333295 + 0.577284i
\(333\) 1.35687e12i 0.331372i
\(334\) 1.25910e12 7.26944e11i 0.302921 0.174892i
\(335\) 6.59544e12 + 3.80788e12i 1.56322 + 0.902525i
\(336\) 1.07902e12 0.251960
\(337\) 2.27833e12 3.94618e12i 0.524163 0.907877i −0.475441 0.879748i \(-0.657711\pi\)
0.999604 0.0281298i \(-0.00895517\pi\)
\(338\) 1.60923e12 9.29091e11i 0.364784 0.210608i
\(339\) −3.14403e12 5.44562e12i −0.702244 1.21632i
\(340\) 2.75687e11i 0.0606768i
\(341\) −9.97237e11 1.72727e12i −0.216285 0.374617i
\(342\) 1.52569e12 0.326088
\(343\) 4.93547e12i 1.03958i
\(344\) −4.61989e12 + 2.45197e12i −0.959046 + 0.509005i
\(345\) −6.21458e12 −1.27150
\(346\) 4.06595e12i 0.819939i
\(347\) −7.88760e12 + 4.55391e12i −1.56783 + 0.905184i −0.571403 + 0.820670i \(0.693601\pi\)
−0.996422 + 0.0845147i \(0.973066\pi\)
\(348\) 1.41453e12 0.277150
\(349\) −5.91408e12 + 3.41450e12i −1.14225 + 0.659477i −0.946986 0.321274i \(-0.895889\pi\)
−0.195261 + 0.980751i \(0.562556\pi\)
\(350\) 9.02280e11 + 1.56280e12i 0.171791 + 0.297551i
\(351\) 3.41121e12 + 1.96946e12i 0.640283 + 0.369668i
\(352\) 3.47852e12i 0.643697i
\(353\) −3.55829e12 + 6.16313e12i −0.649183 + 1.12442i 0.334135 + 0.942525i \(0.391556\pi\)
−0.983318 + 0.181893i \(0.941777\pi\)
\(354\) −2.39795e12 4.15337e12i −0.431344 0.747110i
\(355\) 4.14843e12 0.735770
\(356\) −8.80791e11 + 5.08525e11i −0.154036 + 0.0889328i
\(357\) −1.92621e11 + 3.33630e11i −0.0332172 + 0.0575339i
\(358\) 1.83157e12 3.17238e12i 0.311465 0.539473i
\(359\) −9.24935e11 + 1.60203e12i −0.155110 + 0.268658i −0.933099 0.359620i \(-0.882906\pi\)
0.777989 + 0.628278i \(0.216240\pi\)
\(360\) 2.81022e12 0.464759
\(361\) 1.75313e12 3.03652e12i 0.285943 0.495267i
\(362\) 2.70117e12 + 1.55952e12i 0.434520 + 0.250870i
\(363\) −9.54982e11 + 5.51359e11i −0.151517 + 0.0874785i
\(364\) −9.79832e11 + 5.65706e11i −0.153336 + 0.0885287i
\(365\) 4.97222e12 0.767513
\(366\) 4.75368e12i 0.723810i
\(367\) 6.42333e12 + 1.11255e13i 0.964783 + 1.67105i 0.710196 + 0.704004i \(0.248606\pi\)
0.254588 + 0.967050i \(0.418060\pi\)
\(368\) 1.87784e12 + 3.25252e12i 0.278240 + 0.481926i
\(369\) 3.45740e11 5.98839e11i 0.0505379 0.0875343i
\(370\) 6.01664e12 + 3.47371e12i 0.867652 + 0.500939i
\(371\) 2.85716e12i 0.406504i
\(372\) 9.56209e11 + 5.52068e11i 0.134227 + 0.0774957i
\(373\) 8.57319e11 + 4.94973e11i 0.118740 + 0.0685548i 0.558194 0.829711i \(-0.311495\pi\)
−0.439453 + 0.898265i \(0.644828\pi\)
\(374\) 5.32661e11 + 3.07532e11i 0.0727935 + 0.0420274i
\(375\) 1.34280e12 + 2.32580e12i 0.181074 + 0.313629i
\(376\) 7.58984e12i 1.00993i
\(377\) 3.90829e12 2.25645e12i 0.513193 0.296292i
\(378\) −3.81401e12 2.20202e12i −0.494222 0.285339i
\(379\) 3.78512e12 0.484043 0.242022 0.970271i \(-0.422190\pi\)
0.242022 + 0.970271i \(0.422190\pi\)
\(380\) 2.48488e12 4.30394e12i 0.313608 0.543186i
\(381\) 1.10664e13 6.38922e12i 1.37843 0.795834i
\(382\) 2.89633e12 + 5.01660e12i 0.356067 + 0.616726i
\(383\) 1.17928e12i 0.143094i 0.997437 + 0.0715471i \(0.0227936\pi\)
−0.997437 + 0.0715471i \(0.977206\pi\)
\(384\) 2.63537e11 + 4.56459e11i 0.0315635 + 0.0546696i
\(385\) 6.46902e12 0.764777
\(386\) 6.08673e12i 0.710309i
\(387\) 2.88616e12 + 1.02969e11i 0.332479 + 0.0118618i
\(388\) 1.53379e12 0.174425
\(389\) 6.47848e12i 0.727320i −0.931532 0.363660i \(-0.881527\pi\)
0.931532 0.363660i \(-0.118473\pi\)
\(390\) −4.36020e12 + 2.51736e12i −0.483263 + 0.279012i
\(391\) −1.34090e12 −0.146727
\(392\) −4.79035e12 + 2.76571e12i −0.517531 + 0.298797i
\(393\) 3.97488e12 + 6.88469e12i 0.423995 + 0.734381i
\(394\) −7.41120e12 4.27886e12i −0.780562 0.450658i
\(395\) 5.89281e12i 0.612826i
\(396\) 5.58342e11 9.67078e11i 0.0573357 0.0993083i
\(397\) −7.49705e12 1.29853e13i −0.760217 1.31674i −0.942738 0.333533i \(-0.891759\pi\)
0.182521 0.983202i \(-0.441574\pi\)
\(398\) −1.42339e13 −1.42530
\(399\) −6.01428e12 + 3.47235e12i −0.594729 + 0.343367i
\(400\) −1.54368e12 + 2.67373e12i −0.150750 + 0.261106i
\(401\) 1.17834e12 2.04094e12i 0.113644 0.196838i −0.803593 0.595180i \(-0.797081\pi\)
0.917237 + 0.398342i \(0.130414\pi\)
\(402\) 4.70306e12 8.14593e12i 0.447971 0.775909i
\(403\) 3.52263e12 0.331392
\(404\) 5.37203e11 9.30463e11i 0.0499150 0.0864554i
\(405\) 6.75812e12 + 3.90180e12i 0.620227 + 0.358088i
\(406\) −4.36979e12 + 2.52290e12i −0.396123 + 0.228702i
\(407\) 8.53965e12 4.93037e12i 0.764660 0.441476i
\(408\) −1.21621e12 −0.107574
\(409\) 1.38422e13i 1.20945i −0.796435 0.604725i \(-0.793283\pi\)
0.796435 0.604725i \(-0.206717\pi\)
\(410\) 1.77026e12 + 3.06617e12i 0.152798 + 0.264653i
\(411\) 3.48208e12 + 6.03114e12i 0.296914 + 0.514269i
\(412\) 8.50264e11 1.47270e12i 0.0716255 0.124059i
\(413\) −9.42546e12 5.44179e12i −0.784427 0.452889i
\(414\) 3.82668e12i 0.314645i
\(415\) 2.35145e13 + 1.35761e13i 1.91027 + 1.10290i
\(416\) −5.32065e12 3.07188e12i −0.427069 0.246568i
\(417\) 6.14691e12 + 3.54892e12i 0.487502 + 0.281459i
\(418\) 5.54382e12 + 9.60217e12i 0.434438 + 0.752468i
\(419\) 6.34310e12i 0.491170i 0.969375 + 0.245585i \(0.0789800\pi\)
−0.969375 + 0.245585i \(0.921020\pi\)
\(420\) −3.10144e12 + 1.79061e12i −0.237310 + 0.137011i
\(421\) −1.69115e13 9.76388e12i −1.27871 0.738264i −0.302100 0.953276i \(-0.597688\pi\)
−0.976611 + 0.215012i \(0.931021\pi\)
\(422\) −4.70156e12 −0.351301
\(423\) −2.09544e12 + 3.62941e12i −0.154730 + 0.268000i
\(424\) 7.81161e12 4.51003e12i 0.570048 0.329117i
\(425\) −5.51140e11 9.54603e11i −0.0397482 0.0688459i
\(426\) 5.12367e12i 0.365202i
\(427\) 5.39388e12 + 9.34248e12i 0.379981 + 0.658147i
\(428\) −2.49054e12 −0.173410
\(429\) 7.14598e12i 0.491785i
\(430\) −7.84543e12 + 1.25342e13i −0.533672 + 0.852621i
\(431\) 8.73202e11 0.0587122 0.0293561 0.999569i \(-0.490654\pi\)
0.0293561 + 0.999569i \(0.490654\pi\)
\(432\) 7.53469e12i 0.500780i
\(433\) −1.55877e13 + 8.99954e12i −1.02410 + 0.591263i −0.915288 0.402800i \(-0.868037\pi\)
−0.108809 + 0.994063i \(0.534704\pi\)
\(434\) −3.93859e12 −0.255795
\(435\) 1.23708e13 7.14229e12i 0.794240 0.458555i
\(436\) −1.67388e12 2.89925e12i −0.106241 0.184015i
\(437\) −2.09336e13 1.20860e13i −1.31352 0.758362i
\(438\) 6.14111e12i 0.380958i
\(439\) −7.14203e12 + 1.23704e13i −0.438025 + 0.758682i −0.997537 0.0701405i \(-0.977655\pi\)
0.559512 + 0.828822i \(0.310989\pi\)
\(440\) 1.02114e13 + 1.76866e13i 0.619185 + 1.07246i
\(441\) 3.05429e12 0.183112
\(442\) −9.40784e11 + 5.43162e11i −0.0557671 + 0.0321972i
\(443\) 1.97586e12 3.42230e12i 0.115808 0.200585i −0.802294 0.596928i \(-0.796388\pi\)
0.918102 + 0.396343i \(0.129721\pi\)
\(444\) −2.72944e12 + 4.72753e12i −0.158183 + 0.273980i
\(445\) −5.13533e12 + 8.89465e12i −0.294285 + 0.509717i
\(446\) −2.40109e13 −1.36061
\(447\) 5.16672e12 8.94902e12i 0.289519 0.501462i
\(448\) 1.07694e13 + 6.21771e12i 0.596762 + 0.344540i
\(449\) −1.63028e13 + 9.41243e12i −0.893369 + 0.515787i −0.875043 0.484045i \(-0.839167\pi\)
−0.0183259 + 0.999832i \(0.505834\pi\)
\(450\) 2.72427e12 1.57286e12i 0.147635 0.0852369i
\(451\) 5.02519e12 0.269321
\(452\) 1.26124e13i 0.668506i
\(453\) −5.69227e12 9.85930e12i −0.298397 0.516839i
\(454\) 3.13413e12 + 5.42848e12i 0.162494 + 0.281448i
\(455\) −5.71278e12 + 9.89482e12i −0.292948 + 0.507400i
\(456\) −1.89871e13 1.09622e13i −0.963019 0.555999i
\(457\) 8.53486e12i 0.428169i −0.976815 0.214085i \(-0.931323\pi\)
0.976815 0.214085i \(-0.0686768\pi\)
\(458\) 6.68790e12 + 3.86126e12i 0.331866 + 0.191603i
\(459\) 2.32971e12 + 1.34506e12i 0.114351 + 0.0660204i
\(460\) −1.07950e13 6.23250e12i −0.524124 0.302603i
\(461\) −6.90460e11 1.19591e12i −0.0331615 0.0574374i 0.848968 0.528444i \(-0.177224\pi\)
−0.882130 + 0.471006i \(0.843891\pi\)
\(462\) 7.98979e12i 0.379599i
\(463\) 9.25586e12 5.34387e12i 0.435022 0.251160i −0.266462 0.963846i \(-0.585855\pi\)
0.701484 + 0.712685i \(0.252521\pi\)
\(464\) −7.47611e12 4.31633e12i −0.347605 0.200690i
\(465\) 1.11501e13 0.512878
\(466\) 1.66258e13 2.87967e13i 0.756576 1.31043i
\(467\) −3.69095e13 + 2.13097e13i −1.66170 + 0.959385i −0.689801 + 0.723999i \(0.742302\pi\)
−0.971902 + 0.235386i \(0.924365\pi\)
\(468\) 9.86143e11 + 1.70805e12i 0.0439249 + 0.0760801i
\(469\) 2.13458e13i 0.940692i
\(470\) −1.07291e13 1.85833e13i −0.467814 0.810278i
\(471\) 8.09822e12 0.349370
\(472\) 3.43595e13i 1.46669i
\(473\) 9.83922e12 + 1.85386e13i 0.415580 + 0.783019i
\(474\) −7.27812e12 −0.304178
\(475\) 1.98706e13i 0.821756i
\(476\) −6.69185e11 + 3.86354e11i −0.0273849 + 0.0158107i
\(477\) −4.98062e12 −0.201693
\(478\) 5.44923e12 3.14612e12i 0.218372 0.126077i
\(479\) 1.64313e13 + 2.84599e13i 0.651620 + 1.12864i 0.982730 + 0.185047i \(0.0592438\pi\)
−0.331109 + 0.943592i \(0.607423\pi\)
\(480\) −1.68413e13 9.72332e12i −0.660951 0.381600i
\(481\) 1.74160e13i 0.676431i
\(482\) −6.76490e12 + 1.17172e13i −0.260032 + 0.450388i
\(483\) 8.70923e12 + 1.50848e13i 0.331317 + 0.573859i
\(484\) −2.21180e12 −0.0832757
\(485\) 1.34138e13 7.74448e12i 0.499855 0.288592i
\(486\) −6.71888e12 + 1.16374e13i −0.247808 + 0.429216i
\(487\) 2.31296e13 4.00617e13i 0.844352 1.46246i −0.0418305 0.999125i \(-0.513319\pi\)
0.886183 0.463336i \(-0.153348\pi\)
\(488\) −1.70285e13 + 2.94943e13i −0.615287 + 1.06571i
\(489\) 2.62938e13 0.940391
\(490\) −7.81928e12 + 1.35434e13i −0.276813 + 0.479454i
\(491\) −2.18759e12 1.26301e12i −0.0766582 0.0442586i 0.461181 0.887306i \(-0.347426\pi\)
−0.537839 + 0.843047i \(0.680759\pi\)
\(492\) −2.40922e12 + 1.39096e12i −0.0835702 + 0.0482492i
\(493\) 2.66920e12 1.54106e12i 0.0916530 0.0529159i
\(494\) −1.95829e13 −0.665646
\(495\) 1.12768e13i 0.379455i
\(496\) −3.36919e12 5.83561e12i −0.112232 0.194392i
\(497\) −5.81370e12 1.00696e13i −0.191721 0.332071i
\(498\) 1.67677e13 2.90424e13i 0.547426 0.948170i
\(499\) −3.36734e12 1.94414e12i −0.108839 0.0628382i 0.444592 0.895733i \(-0.353349\pi\)
−0.553431 + 0.832895i \(0.686682\pi\)
\(500\) 5.38670e12i 0.172375i
\(501\) 9.99074e12 + 5.76816e12i 0.316526 + 0.182746i
\(502\) 1.11896e13 + 6.46029e12i 0.350990 + 0.202644i
\(503\) 2.67026e13 + 1.54168e13i 0.829305 + 0.478799i 0.853614 0.520905i \(-0.174406\pi\)
−0.0243100 + 0.999704i \(0.507739\pi\)
\(504\) −3.93830e12 6.82134e12i −0.121103 0.209757i
\(505\) 1.08499e13i 0.330345i
\(506\) 2.40839e13 1.39048e13i 0.726062 0.419192i
\(507\) 1.27689e13 + 7.37215e12i 0.381167 + 0.220067i
\(508\) 2.56306e13 0.757600
\(509\) −1.21569e13 + 2.10564e13i −0.355824 + 0.616305i −0.987259 0.159124i \(-0.949133\pi\)
0.631435 + 0.775429i \(0.282466\pi\)
\(510\) −2.97783e12 + 1.71925e12i −0.0863077 + 0.0498298i
\(511\) −6.96817e12 1.20692e13i −0.199993 0.346397i
\(512\) 2.93248e13i 0.833461i
\(513\) 2.42471e13 + 4.19973e13i 0.682454 + 1.18205i
\(514\) 3.84464e13 1.07162
\(515\) 1.71727e13i 0.474028i
\(516\) −9.84868e12 6.16448e12i −0.269234 0.168519i
\(517\) −3.04564e13 −0.824567
\(518\) 1.94725e13i 0.522124i
\(519\) 2.79401e13 1.61312e13i 0.741979 0.428382i
\(520\) −3.60705e13 −0.948715
\(521\) −3.00421e13 + 1.73448e13i −0.782603 + 0.451836i −0.837352 0.546664i \(-0.815897\pi\)
0.0547491 + 0.998500i \(0.482564\pi\)
\(522\) 4.39793e12 + 7.61744e12i 0.113474 + 0.196543i
\(523\) −2.59700e12 1.49938e12i −0.0663688 0.0383181i 0.466448 0.884548i \(-0.345533\pi\)
−0.532817 + 0.846230i \(0.678867\pi\)
\(524\) 1.59454e13i 0.403625i
\(525\) −7.15941e12 + 1.24005e13i −0.179507 + 0.310915i
\(526\) 2.23059e13 + 3.86350e13i 0.553977 + 0.959516i
\(527\) 2.40581e12 0.0591846
\(528\) 1.18381e13 6.83471e12i 0.288477 0.166552i
\(529\) −9.60053e12 + 1.66286e13i −0.231749 + 0.401400i
\(530\) 1.27509e13 2.20852e13i 0.304902 0.528106i
\(531\) −9.48616e12 + 1.64305e13i −0.224708 + 0.389205i
\(532\) −1.39295e13 −0.326871
\(533\) −4.43773e12 + 7.68638e12i −0.103163 + 0.178684i
\(534\) 1.09857e13 + 6.34257e12i 0.252999 + 0.146069i
\(535\) −2.17812e13 + 1.25754e13i −0.496949 + 0.286914i
\(536\) 5.83603e13 3.36943e13i 1.31915 0.761611i
\(537\) 2.90663e13 0.650907
\(538\) 1.75794e13i 0.390025i
\(539\) 1.10982e13 + 1.92226e13i 0.243954 + 0.422541i
\(540\) 1.25037e13 + 2.16571e13i 0.272314 + 0.471662i
\(541\) −1.14187e13 + 1.97777e13i −0.246394 + 0.426766i −0.962523 0.271202i \(-0.912579\pi\)
0.716129 + 0.697968i \(0.245912\pi\)
\(542\) 1.26946e13 + 7.32926e12i 0.271409 + 0.156698i
\(543\) 2.47490e13i 0.524274i
\(544\) −3.63378e12 2.09796e12i −0.0762718 0.0440355i
\(545\) −2.92780e13 1.69037e13i −0.608918 0.351559i
\(546\) 1.22209e13 + 7.05577e12i 0.251850 + 0.145406i
\(547\) −1.52205e13 2.63627e13i −0.310808 0.538336i 0.667729 0.744404i \(-0.267266\pi\)
−0.978538 + 0.206068i \(0.933933\pi\)
\(548\) 1.39685e13i 0.282649i
\(549\) 1.62859e13 9.40265e12i 0.326549 0.188533i
\(550\) 1.97981e13 + 1.14304e13i 0.393378 + 0.227117i
\(551\) 5.55609e13 1.09399
\(552\) −2.74951e13 + 4.76229e13i −0.536488 + 0.929224i
\(553\) −1.43038e13 + 8.25830e12i −0.276583 + 0.159685i
\(554\) −1.82836e13 3.16681e13i −0.350358 0.606838i
\(555\) 5.51264e13i 1.04687i
\(556\) 7.11831e12 + 1.23293e13i 0.133969 + 0.232040i
\(557\) 4.31783e13 0.805359 0.402679 0.915341i \(-0.368079\pi\)
0.402679 + 0.915341i \(0.368079\pi\)
\(558\) 6.86577e12i 0.126917i
\(559\) −3.70452e13 1.32165e12i −0.678692 0.0242136i
\(560\) 2.18557e13 0.396849
\(561\) 4.88041e12i 0.0878297i
\(562\) −5.42918e13 + 3.13454e13i −0.968395 + 0.559103i
\(563\) 6.38973e13 1.12964 0.564821 0.825214i \(-0.308945\pi\)
0.564821 + 0.825214i \(0.308945\pi\)
\(564\) 1.46017e13 8.43029e12i 0.255863 0.147723i
\(565\) −6.36830e13 1.10302e14i −1.10607 1.91576i
\(566\) −5.13886e12 2.96692e12i −0.0884676 0.0510768i
\(567\) 2.18722e13i 0.373231i
\(568\) 1.83539e13 3.17899e13i 0.310446 0.537708i
\(569\) −8.70973e12 1.50857e13i −0.146030 0.252932i 0.783726 0.621106i \(-0.213316\pi\)
−0.929757 + 0.368174i \(0.879983\pi\)
\(570\) −6.19853e13 −1.03018
\(571\) −3.64593e12 + 2.10498e12i −0.0600659 + 0.0346791i −0.529732 0.848165i \(-0.677708\pi\)
0.469666 + 0.882844i \(0.344374\pi\)
\(572\) −7.16659e12 + 1.24129e13i −0.117039 + 0.202718i
\(573\) −2.29818e13 + 3.98057e13i −0.372059 + 0.644424i
\(574\) 4.96175e12 8.59400e12i 0.0796297 0.137923i
\(575\) −4.98388e13 −0.792918
\(576\) 1.08387e13 1.87733e13i 0.170949 0.296092i
\(577\) −6.80572e13 3.92929e13i −1.06413 0.614377i −0.137559 0.990494i \(-0.543926\pi\)
−0.926572 + 0.376117i \(0.877259\pi\)
\(578\) 4.30346e13 2.48460e13i 0.667081 0.385139i
\(579\) −4.18264e13 + 2.41485e13i −0.642773 + 0.371105i
\(580\) 2.86516e13 0.436524
\(581\) 7.61034e13i 1.14954i
\(582\) −9.56510e12 1.65672e13i −0.143243 0.248105i
\(583\) −1.80978e13 3.13463e13i −0.268710 0.465419i
\(584\) 2.19985e13 3.81026e13i 0.323839 0.560906i
\(585\) 1.72487e13 + 9.95854e12i 0.251754 + 0.145350i
\(586\) 8.84586e13i 1.28012i
\(587\) −3.48542e13 2.01231e13i −0.500110 0.288738i 0.228649 0.973509i \(-0.426569\pi\)
−0.728759 + 0.684770i \(0.759902\pi\)
\(588\) −1.06416e13 6.14393e12i −0.151398 0.0874097i
\(589\) 3.75587e13 + 2.16846e13i 0.529828 + 0.305896i
\(590\) −4.85710e13 8.41275e13i −0.679387 1.17673i
\(591\) 6.79038e13i 0.941795i
\(592\) 2.88514e13 1.66574e13i 0.396788 0.229086i
\(593\) 1.05610e14 + 6.09742e13i 1.44023 + 0.831520i 0.997865 0.0653133i \(-0.0208047\pi\)
0.442369 + 0.896833i \(0.354138\pi\)
\(594\) −5.57920e13 −0.754466
\(595\) −3.90159e12 + 6.75775e12i −0.0523187 + 0.0906186i
\(596\) 1.79497e13 1.03632e13i 0.238685 0.137805i
\(597\) −5.64714e13 9.78114e13i −0.744658 1.28979i
\(598\) 4.91173e13i 0.642286i
\(599\) 3.96835e13 + 6.87339e13i 0.514607 + 0.891326i 0.999856 + 0.0169500i \(0.00539562\pi\)
−0.485249 + 0.874376i \(0.661271\pi\)
\(600\) −4.52046e13 −0.581335
\(601\) 5.51159e13i 0.702918i −0.936203 0.351459i \(-0.885686\pi\)
0.936203 0.351459i \(-0.114314\pi\)
\(602\) 4.14195e13 + 1.47772e12i 0.523869 + 0.0186900i
\(603\) −3.72101e13 −0.466739
\(604\) 2.28348e13i 0.284061i
\(605\) −1.93434e13 + 1.11679e13i −0.238647 + 0.137783i
\(606\) −1.34005e13 −0.163968
\(607\) 8.19623e12 4.73210e12i 0.0994651 0.0574262i −0.449442 0.893309i \(-0.648377\pi\)
0.548907 + 0.835883i \(0.315044\pi\)
\(608\) −3.78196e13 6.55054e13i −0.455196 0.788423i
\(609\) −3.46734e13 2.00187e13i −0.413914 0.238973i
\(610\) 9.62869e13i 1.14003i
\(611\) 2.68960e13 4.65852e13i 0.315851 0.547069i
\(612\) 6.73494e11 + 1.16653e12i 0.00784471 + 0.0135874i
\(613\) −3.36706e13 −0.388999 −0.194499 0.980903i \(-0.562308\pi\)
−0.194499 + 0.980903i \(0.562308\pi\)
\(614\) 8.23838e13 4.75643e13i 0.944060 0.545054i
\(615\) −1.40466e13 + 2.43295e13i −0.159660 + 0.276540i
\(616\) 2.86208e13 4.95727e13i 0.322685 0.558906i
\(617\) −7.99841e13 + 1.38536e14i −0.894495 + 1.54931i −0.0600656 + 0.998194i \(0.519131\pi\)
−0.834429 + 0.551116i \(0.814202\pi\)
\(618\) −2.12098e13 −0.235285
\(619\) −6.18767e12 + 1.07174e13i −0.0680885 + 0.117933i −0.898060 0.439873i \(-0.855023\pi\)
0.829971 + 0.557806i \(0.188357\pi\)
\(620\) 1.93682e13 + 1.11823e13i 0.211413 + 0.122059i
\(621\) 1.05336e14 6.08159e13i 1.14056 0.658505i
\(622\) −5.88262e13 + 3.39633e13i −0.631857 + 0.364803i
\(623\) 2.87870e13 0.306730
\(624\) 2.41429e13i 0.255191i
\(625\) 5.84525e13 + 1.01243e14i 0.612919 + 1.06161i
\(626\) −2.49295e12 4.31791e12i −0.0259323 0.0449161i
\(627\) −4.39891e13 + 7.61913e13i −0.453949 + 0.786263i
\(628\) 1.40670e13 + 8.12158e12i 0.144013 + 0.0831462i
\(629\) 1.18944e13i 0.120806i
\(630\) −1.92855e13 1.11345e13i −0.194324 0.112193i
\(631\) −1.28434e14 7.41514e13i −1.28391 0.741263i −0.306345 0.951920i \(-0.599106\pi\)
−0.977560 + 0.210657i \(0.932440\pi\)
\(632\) −4.51572e13 2.60715e13i −0.447859 0.258572i
\(633\) −1.86530e13 3.23079e13i −0.183539 0.317900i
\(634\) 1.13364e13i 0.110670i
\(635\) 2.24153e14 1.29415e14i 2.17108 1.25348i
\(636\) 1.73532e13 + 1.00189e13i 0.166761 + 0.0962796i
\(637\) −3.92032e13 −0.373787
\(638\) −3.19611e13 + 5.53582e13i −0.302356 + 0.523695i
\(639\) −1.75534e13 + 1.01345e13i −0.164762 + 0.0951255i
\(640\) 5.33800e12 + 9.24568e12i 0.0497140 + 0.0861071i
\(641\) 2.02938e14i 1.87531i −0.347564 0.937656i \(-0.612991\pi\)
0.347564 0.937656i \(-0.387009\pi\)
\(642\) 1.55316e13 + 2.69016e13i 0.142411 + 0.246662i
\(643\) 9.71468e13 0.883840 0.441920 0.897054i \(-0.354298\pi\)
0.441920 + 0.897054i \(0.354298\pi\)
\(644\) 3.49374e13i 0.315400i
\(645\) −1.17258e14 4.18340e12i −1.05037 0.0374740i
\(646\) −1.33743e13 −0.118880
\(647\) 2.03352e14i 1.79361i 0.442430 + 0.896803i \(0.354116\pi\)
−0.442430 + 0.896803i \(0.645884\pi\)
\(648\) 5.97997e13 3.45254e13i 0.523389 0.302179i
\(649\) −1.37877e14 −1.19748
\(650\) −3.49673e13 + 2.01884e13i −0.301367 + 0.173994i
\(651\) −1.56260e13 2.70650e13i −0.133642 0.231474i
\(652\) 4.56735e13 + 2.63696e13i 0.387638 + 0.223803i
\(653\) 4.13670e13i 0.348408i −0.984710 0.174204i \(-0.944265\pi\)
0.984710 0.174204i \(-0.0557352\pi\)
\(654\) −2.08775e13 + 3.61609e13i −0.174498 + 0.302239i
\(655\) 8.05120e13 + 1.39451e14i 0.667812 + 1.15668i
\(656\) 1.69777e13 0.139753
\(657\) −2.10391e13 + 1.21469e13i −0.171870 + 0.0992294i
\(658\) −3.00719e13 + 5.20861e13i −0.243799 + 0.422272i
\(659\) 1.55917e13 2.70056e13i 0.125449 0.217283i −0.796460 0.604692i \(-0.793296\pi\)
0.921908 + 0.387408i \(0.126630\pi\)
\(660\) −2.26842e13 + 3.92902e13i −0.181136 + 0.313736i
\(661\) −1.27954e14 −1.01402 −0.507008 0.861941i \(-0.669249\pi\)
−0.507008 + 0.861941i \(0.669249\pi\)
\(662\) −8.61580e13 + 1.49230e14i −0.677650 + 1.17372i
\(663\) −7.46493e12 4.30988e12i −0.0582717 0.0336432i
\(664\) 2.08070e14 1.20129e14i 1.61202 0.930698i
\(665\) −1.21821e14 + 7.03332e13i −0.936726 + 0.540819i
\(666\) −3.39446e13 −0.259059
\(667\) 1.39356e14i 1.05559i
\(668\) 1.15696e13 + 2.00391e13i 0.0869832 + 0.150659i
\(669\) −9.52608e13 1.64997e14i −0.710859 1.23124i
\(670\) 9.52615e13 1.64998e14i 0.705575 1.22209i
\(671\) 1.18354e14 + 6.83318e13i 0.870104 + 0.502355i
\(672\) 5.45058e13i 0.397738i
\(673\) 7.12588e13 + 4.11413e13i 0.516135 + 0.297990i 0.735352 0.677686i \(-0.237017\pi\)
−0.219217 + 0.975676i \(0.570350\pi\)
\(674\) −9.87212e13 5.69967e13i −0.709759 0.409780i
\(675\) 8.65914e13 + 4.99936e13i 0.617954 + 0.356776i
\(676\) 1.47868e13 + 2.56115e13i 0.104747 + 0.181427i
\(677\) 1.84933e14i 1.30038i −0.759770 0.650192i \(-0.774688\pi\)
0.759770 0.650192i \(-0.225312\pi\)
\(678\) −1.36233e14 + 7.86539e13i −0.950895 + 0.549000i
\(679\) −3.75969e13 2.17066e13i −0.260497 0.150398i
\(680\) −2.46347e13 −0.169435
\(681\) −2.48687e13 + 4.30739e13i −0.169792 + 0.294089i
\(682\) −4.32109e13 + 2.49478e13i −0.292867 + 0.169087i
\(683\) −1.29263e14 2.23890e14i −0.869701 1.50637i −0.862303 0.506393i \(-0.830978\pi\)
−0.00739798 0.999973i \(-0.502355\pi\)
\(684\) 2.42819e13i 0.162182i
\(685\) 7.05303e13 + 1.22162e14i 0.467652 + 0.809998i
\(686\) 1.23470e14 0.812721
\(687\) 6.12766e13i 0.400416i
\(688\) 3.32421e13 + 6.26333e13i 0.215648 + 0.406315i
\(689\) 6.39286e13 0.411717
\(690\) 1.55470e14i 0.994031i
\(691\) 2.17407e14 1.25520e14i 1.38001 0.796751i 0.387852 0.921722i \(-0.373217\pi\)
0.992160 + 0.124971i \(0.0398838\pi\)
\(692\) 6.47111e13 0.407801
\(693\) −2.73726e13 + 1.58036e13i −0.171258 + 0.0988756i
\(694\) 1.13925e14 + 1.97324e14i 0.707654 + 1.22569i
\(695\) 1.24507e14 + 7.18841e13i 0.767838 + 0.443311i
\(696\) 1.26398e14i 0.773918i
\(697\) −3.03079e12 + 5.24948e12i −0.0184243 + 0.0319119i
\(698\) 8.54202e13 + 1.47952e14i 0.515565 + 0.892985i
\(699\) 2.63844e14 1.58111
\(700\) −2.48725e13 + 1.43601e13i −0.147989 + 0.0854413i
\(701\) −7.01816e13 + 1.21558e14i −0.414604 + 0.718115i −0.995387 0.0959436i \(-0.969413\pi\)
0.580783 + 0.814058i \(0.302746\pi\)
\(702\) 4.92698e13 8.53379e13i 0.288999 0.500560i
\(703\) −1.07209e14 + 1.85692e14i −0.624389 + 1.08147i
\(704\) 1.57537e14 0.911000
\(705\) 8.51331e13 1.47455e14i 0.488825 0.846669i
\(706\) 1.54183e14 + 8.90174e13i 0.879047 + 0.507518i
\(707\) −2.63362e13 + 1.52052e13i −0.149093 + 0.0860787i
\(708\) 6.61025e13 3.81643e13i 0.371579 0.214531i
\(709\) −1.72608e14 −0.963452 −0.481726 0.876322i \(-0.659990\pi\)
−0.481726 + 0.876322i \(0.659990\pi\)
\(710\) 1.03781e14i 0.575210i
\(711\) 1.43959e13 + 2.49345e13i 0.0792303 + 0.137231i
\(712\) 4.54404e13 + 7.87050e13i 0.248337 + 0.430133i
\(713\) 5.43885e13 9.42037e13i 0.295161 0.511234i
\(714\) 8.34640e12 + 4.81879e12i 0.0449788 + 0.0259685i
\(715\) 1.44743e14i 0.774584i
\(716\) 5.04896e13 + 2.91502e13i 0.268310 + 0.154909i
\(717\) 4.32386e13 + 2.49638e13i 0.228179 + 0.131739i
\(718\) 4.00780e13 + 2.31390e13i 0.210031 + 0.121262i
\(719\) −7.87135e12 1.36336e13i −0.0409642 0.0709521i 0.844816 0.535056i \(-0.179710\pi\)
−0.885781 + 0.464104i \(0.846376\pi\)
\(720\) 3.80990e13i 0.196903i
\(721\) −4.16839e13 + 2.40662e13i −0.213940 + 0.123518i
\(722\) −7.59643e13 4.38580e13i −0.387190 0.223544i
\(723\) −1.07356e14 −0.543420
\(724\) −2.48204e13 + 4.29902e13i −0.124772 + 0.216111i
\(725\) 9.92097e13 5.72788e13i 0.495295 0.285959i
\(726\) 1.37933e13 + 2.38907e13i 0.0683888 + 0.118453i
\(727\) 2.65385e14i 1.30679i 0.757019 + 0.653393i \(0.226655\pi\)
−0.757019 + 0.653393i \(0.773345\pi\)
\(728\) 5.05500e13 + 8.75551e13i 0.247209 + 0.428178i
\(729\) −2.21230e14 −1.07450
\(730\) 1.24390e14i 0.600026i
\(731\) −2.53003e13 9.02635e11i −0.121210 0.00432440i
\(732\) −7.56566e13 −0.359991
\(733\) 2.93185e14i 1.38555i −0.721154 0.692775i \(-0.756388\pi\)
0.721154 0.692775i \(-0.243612\pi\)
\(734\) 2.78327e14 1.60692e14i 1.30639 0.754247i
\(735\) −1.24089e14 −0.578490
\(736\) −1.64299e14 + 9.48579e13i −0.760755 + 0.439222i
\(737\) −1.35208e14 2.34188e14i −0.621821 1.07703i
\(738\) −1.49811e13 8.64935e12i −0.0684325 0.0395095i
\(739\) 2.24724e14i 1.01960i 0.860294 + 0.509798i \(0.170280\pi\)
−0.860294 + 0.509798i \(0.829720\pi\)
\(740\) −5.52854e13 + 9.57571e13i −0.249145 + 0.431531i
\(741\) −7.76933e13 1.34569e14i −0.347770 0.602356i
\(742\) −7.14774e13 −0.317796
\(743\) 1.41160e14 8.14987e13i 0.623401 0.359921i −0.154791 0.987947i \(-0.549470\pi\)
0.778192 + 0.628027i \(0.216137\pi\)
\(744\) 4.93313e13 8.54442e13i 0.216400 0.374816i
\(745\) 1.04653e14 1.81264e14i 0.456006 0.789825i
\(746\) 1.23827e13 2.14475e13i 0.0535947 0.0928287i
\(747\) −1.32664e14 −0.570360
\(748\) −4.89448e12 + 8.47749e12i −0.0209025 + 0.0362042i
\(749\) 6.10491e13 + 3.52467e13i 0.258982 + 0.149524i
\(750\) 5.81844e13 3.35928e13i 0.245189 0.141560i
\(751\) 1.38082e14 7.97218e13i 0.578013 0.333716i −0.182330 0.983237i \(-0.558364\pi\)
0.760343 + 0.649521i \(0.225031\pi\)
\(752\) −1.02898e14 −0.427875
\(753\) 1.02522e14i 0.423490i
\(754\) −5.64495e13 9.77735e13i −0.231635 0.401203i
\(755\) −1.15298e14 1.99702e14i −0.469989 0.814045i
\(756\) 3.50459e13 6.07013e13i 0.141915 0.245804i
\(757\) −1.46875e14 8.47984e13i −0.590839 0.341121i 0.174590 0.984641i \(-0.444140\pi\)
−0.765429 + 0.643520i \(0.777473\pi\)
\(758\) 9.46921e13i 0.378415i
\(759\) 1.91101e14 + 1.10332e14i 0.758670 + 0.438019i
\(760\) −3.84588e14 2.22042e14i −1.51680 0.875725i
\(761\) −1.69184e14 9.76784e13i