Properties

Label 8.21.d.b.3.10
Level 8
Weight 21
Character 8.3
Analytic conductor 20.281
Analytic rank 0
Dimension 18
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 8 = 2^{3} \)
Weight: \( k \) = \( 21 \)
Character orbit: \([\chi]\) = 8.d (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(20.2811012082\)
Analytic rank: \(0\)
Dimension: \(18\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: multiple of \( 2^{153}\cdot 3^{15}\cdot 5^{4}\cdot 7^{2} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.10
Root \(-13803.2 + 714588. i\)
Character \(\chi\) = 8.3
Dual form 8.21.d.b.3.9

$q$-expansion

\(f(q)\) \(=\) \(q\)\(+(-39.1296 + 1023.25i) q^{2}\) \(-61558.6 q^{3}\) \(+(-1.04551e6 - 80078.8i) q^{4}\) \(-2.85835e6i q^{5}\) \(+(2.40876e6 - 6.29900e7i) q^{6}\) \(-1.54680e8i q^{7}\) \(+(1.22851e8 - 1.06669e9i) q^{8}\) \(+3.02682e8 q^{9}\) \(+O(q^{10})\) \(q\)\(+(-39.1296 + 1023.25i) q^{2}\) \(-61558.6 q^{3}\) \(+(-1.04551e6 - 80078.8i) q^{4}\) \(-2.85835e6i q^{5}\) \(+(2.40876e6 - 6.29900e7i) q^{6}\) \(-1.54680e8i q^{7}\) \(+(1.22851e8 - 1.06669e9i) q^{8}\) \(+3.02682e8 q^{9}\) \(+(2.92482e9 + 1.11846e8i) q^{10}\) \(+1.20777e10 q^{11}\) \(+(6.43604e10 + 4.92954e9i) q^{12}\) \(+1.32584e10i q^{13}\) \(+(1.58276e11 + 6.05255e9i) q^{14}\) \(+1.75956e11i q^{15}\) \(+(1.08669e12 + 1.67447e11i) q^{16}\) \(-1.51710e12 q^{17}\) \(+(-1.18438e10 + 3.09720e11i) q^{18}\) \(-5.95972e12 q^{19}\) \(+(-2.28894e11 + 2.98845e12i) q^{20}\) \(+9.52187e12i q^{21}\) \(+(-4.72597e11 + 1.23586e13i) q^{22}\) \(+5.68078e13i q^{23}\) \(+(-7.56256e12 + 6.56640e13i) q^{24}\) \(+8.71973e13 q^{25}\) \(+(-1.35667e13 - 5.18796e11i) q^{26}\) \(+1.96009e14 q^{27}\) \(+(-1.23866e13 + 1.61720e14i) q^{28}\) \(-9.55289e13i q^{29}\) \(+(-1.80048e14 - 6.88509e12i) q^{30}\) \(+1.17024e15i q^{31}\) \(+(-2.13862e14 + 1.10540e15i) q^{32}\) \(-7.43490e14 q^{33}\) \(+(5.93636e13 - 1.55238e15i) q^{34}\) \(-4.42129e14 q^{35}\) \(+(-3.16459e14 - 2.42385e13i) q^{36}\) \(-8.09037e15i q^{37}\) \(+(2.33201e14 - 6.09830e15i) q^{38}\) \(-8.16169e14i q^{39}\) \(+(-3.04898e15 - 3.51152e14i) q^{40}\) \(+1.78313e16 q^{41}\) \(+(-9.74327e15 - 3.72587e14i) q^{42}\) \(+2.76012e16 q^{43}\) \(+(-1.26275e16 - 9.67172e14i) q^{44}\) \(-8.65173e14i q^{45}\) \(+(-5.81287e16 - 2.22286e15i) q^{46}\) \(-1.55525e16i q^{47}\) \(+(-6.68949e16 - 1.03078e16i) q^{48}\) \(+5.58665e16 q^{49}\) \(+(-3.41199e15 + 8.92248e16i) q^{50}\) \(+9.33908e16 q^{51}\) \(+(1.06172e15 - 1.38618e16i) q^{52}\) \(+2.45574e17i q^{53}\) \(+(-7.66975e15 + 2.00567e17i) q^{54}\) \(-3.45225e16i q^{55}\) \(+(-1.64995e17 - 1.90026e16i) q^{56}\) \(+3.66873e17 q^{57}\) \(+(9.77501e16 + 3.73800e15i) q^{58}\) \(+4.21252e17 q^{59}\) \(+(1.40904e16 - 1.83965e17i) q^{60}\) \(-5.24046e17i q^{61}\) \(+(-1.19745e18 - 4.57910e16i) q^{62}\) \(-4.68188e16i q^{63}\) \(+(-1.12274e18 - 2.62089e17i) q^{64}\) \(+3.78972e16 q^{65}\) \(+(2.90924e16 - 7.60777e17i) q^{66}\) \(-2.46735e17 q^{67}\) \(+(1.58615e18 + 1.21488e17i) q^{68}\) \(-3.49701e18i q^{69}\) \(+(1.73003e16 - 4.52410e17i) q^{70}\) \(+3.30845e18i q^{71}\) \(+(3.71849e16 - 3.22869e17i) q^{72}\) \(-3.00902e18 q^{73}\) \(+(8.27849e18 + 3.16573e17i) q^{74}\) \(-5.36774e18 q^{75}\) \(+(6.23097e18 + 4.77248e17i) q^{76}\) \(-1.86818e18i q^{77}\) \(+(8.35147e17 + 3.19364e16i) q^{78}\) \(+1.13858e19i q^{79}\) \(+(4.78623e17 - 3.10613e18i) q^{80}\) \(-1.31214e19 q^{81}\) \(+(-6.97730e17 + 1.82459e19i) q^{82}\) \(-4.84976e18 q^{83}\) \(+(7.62500e17 - 9.95525e18i) q^{84}\) \(+4.33641e18i q^{85}\) \(+(-1.08002e18 + 2.82430e19i) q^{86}\) \(+5.88063e18i q^{87}\) \(+(1.48377e18 - 1.28832e19i) q^{88}\) \(+1.43860e19 q^{89}\) \(+(8.85290e17 + 3.38539e16i) q^{90}\) \(+2.05081e18 q^{91}\) \(+(4.54910e18 - 5.93933e19i) q^{92}\) \(-7.20384e19i q^{93}\) \(+(1.59142e19 + 6.08564e17i) q^{94}\) \(+1.70350e19i q^{95}\) \(+(1.31651e19 - 6.80471e19i) q^{96}\) \(+2.08925e18 q^{97}\) \(+(-2.18603e18 + 5.71655e19i) q^{98}\) \(+3.65572e18 q^{99}\) \(+O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut O(q^{10}) \) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut 742754160q^{10} \) \(\mathstrut +\mathstrut 27862395020q^{11} \) \(\mathstrut -\mathstrut 212292734088q^{12} \) \(\mathstrut -\mathstrut 431248136928q^{14} \) \(\mathstrut -\mathstrut 958534870512q^{16} \) \(\mathstrut +\mathstrut 4343925139172q^{17} \) \(\mathstrut -\mathstrut 4517494524426q^{18} \) \(\mathstrut -\mathstrut 360681653556q^{19} \) \(\mathstrut -\mathstrut 32520172742880q^{20} \) \(\mathstrut -\mathstrut 66275482922148q^{22} \) \(\mathstrut +\mathstrut 22289322475152q^{24} \) \(\mathstrut -\mathstrut 395727477008910q^{25} \) \(\mathstrut +\mathstrut 154289718058128q^{26} \) \(\mathstrut -\mathstrut 1208398438889064q^{27} \) \(\mathstrut -\mathstrut 394619539621440q^{28} \) \(\mathstrut +\mathstrut 223250517248160q^{30} \) \(\mathstrut -\mathstrut 2833814588985248q^{32} \) \(\mathstrut +\mathstrut 4461969540487176q^{33} \) \(\mathstrut -\mathstrut 939462769526748q^{34} \) \(\mathstrut +\mathstrut 3615863153468160q^{35} \) \(\mathstrut +\mathstrut 1560521174396700q^{36} \) \(\mathstrut +\mathstrut 12905383833568412q^{38} \) \(\mathstrut +\mathstrut 11813880412973760q^{40} \) \(\mathstrut +\mathstrut 16990829756398820q^{41} \) \(\mathstrut +\mathstrut 38127588900300480q^{42} \) \(\mathstrut -\mathstrut 27498466356753396q^{43} \) \(\mathstrut +\mathstrut 33178844343953144q^{44} \) \(\mathstrut -\mathstrut 21739818881100192q^{46} \) \(\mathstrut +\mathstrut 28364131397385312q^{48} \) \(\mathstrut -\mathstrut 252965388018862638q^{49} \) \(\mathstrut +\mathstrut 41705619584456530q^{50} \) \(\mathstrut -\mathstrut 34182574557901800q^{51} \) \(\mathstrut -\mathstrut 44583718369992480q^{52} \) \(\mathstrut -\mathstrut 579400710808894920q^{54} \) \(\mathstrut -\mathstrut 505574909383001472q^{56} \) \(\mathstrut -\mathstrut 522453489061123704q^{57} \) \(\mathstrut -\mathstrut 677523738697093680q^{58} \) \(\mathstrut +\mathstrut 93112194700366220q^{59} \) \(\mathstrut +\mathstrut 1631640690429240000q^{60} \) \(\mathstrut +\mathstrut 1780090172849178240q^{62} \) \(\mathstrut +\mathstrut 175441813011570240q^{64} \) \(\mathstrut +\mathstrut 1575343920200472960q^{65} \) \(\mathstrut +\mathstrut 8001047667731567880q^{66} \) \(\mathstrut -\mathstrut 1452645642074335668q^{67} \) \(\mathstrut +\mathstrut 1153770320813215592q^{68} \) \(\mathstrut -\mathstrut 6151558949299572480q^{70} \) \(\mathstrut -\mathstrut 5306529204268842936q^{72} \) \(\mathstrut +\mathstrut 9882821313863175972q^{73} \) \(\mathstrut -\mathstrut 5642095430673385488q^{74} \) \(\mathstrut +\mathstrut 13414715768769378060q^{75} \) \(\mathstrut -\mathstrut 8416781249057544840q^{76} \) \(\mathstrut -\mathstrut 14599907290310144160q^{78} \) \(\mathstrut -\mathstrut 22104885212702947200q^{80} \) \(\mathstrut -\mathstrut 32315102667184036518q^{81} \) \(\mathstrut +\mathstrut 10320950271478847652q^{82} \) \(\mathstrut -\mathstrut 46425529968268557748q^{83} \) \(\mathstrut +\mathstrut 17095266896298568320q^{84} \) \(\mathstrut +\mathstrut 33555485282446075868q^{86} \) \(\mathstrut +\mathstrut 32344350945394345872q^{88} \) \(\mathstrut -\mathstrut 28075170672250840156q^{89} \) \(\mathstrut -\mathstrut 33204348719592139440q^{90} \) \(\mathstrut +\mathstrut 161045136122144660736q^{91} \) \(\mathstrut -\mathstrut 932896292396925120q^{92} \) \(\mathstrut -\mathstrut 107259275077774974528q^{94} \) \(\mathstrut +\mathstrut 68580843917215697472q^{96} \) \(\mathstrut +\mathstrut 127276645173366650724q^{97} \) \(\mathstrut +\mathstrut 154837385163137764402q^{98} \) \(\mathstrut +\mathstrut 62802542261652714084q^{99} \) \(\mathstrut +\mathstrut O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −39.1296 + 1023.25i −0.0382125 + 0.999270i
\(3\) −61558.6 −1.04250 −0.521251 0.853404i \(-0.674534\pi\)
−0.521251 + 0.853404i \(0.674534\pi\)
\(4\) −1.04551e6 80078.8i −0.997080 0.0763691i
\(5\) 2.85835e6i 0.292695i −0.989233 0.146348i \(-0.953248\pi\)
0.989233 0.146348i \(-0.0467518\pi\)
\(6\) 2.40876e6 6.29900e7i 0.0398365 1.04174i
\(7\) 1.54680e8i 0.547587i −0.961789 0.273793i \(-0.911722\pi\)
0.961789 0.273793i \(-0.0882784\pi\)
\(8\) 1.22851e8 1.06669e9i 0.114414 0.993433i
\(9\) 3.02682e8 0.0868085
\(10\) 2.92482e9 + 1.11846e8i 0.292482 + 0.0111846i
\(11\) 1.20777e10 0.465649 0.232825 0.972519i \(-0.425203\pi\)
0.232825 + 0.972519i \(0.425203\pi\)
\(12\) 6.43604e10 + 4.92954e9i 1.03946 + 0.0796149i
\(13\) 1.32584e10i 0.0961740i 0.998843 + 0.0480870i \(0.0153125\pi\)
−0.998843 + 0.0480870i \(0.984688\pi\)
\(14\) 1.58276e11 + 6.05255e9i 0.547187 + 0.0209246i
\(15\) 1.75956e11i 0.305135i
\(16\) 1.08669e12 + 1.67447e11i 0.988336 + 0.152292i
\(17\) −1.51710e12 −0.752533 −0.376267 0.926511i \(-0.622792\pi\)
−0.376267 + 0.926511i \(0.622792\pi\)
\(18\) −1.18438e10 + 3.09720e11i −0.00331717 + 0.0867451i
\(19\) −5.95972e12 −0.972053 −0.486027 0.873944i \(-0.661554\pi\)
−0.486027 + 0.873944i \(0.661554\pi\)
\(20\) −2.28894e11 + 2.98845e12i −0.0223529 + 0.291841i
\(21\) 9.52187e12i 0.570860i
\(22\) −4.72597e11 + 1.23586e13i −0.0177936 + 0.465309i
\(23\) 5.68078e13i 1.37129i 0.727936 + 0.685645i \(0.240480\pi\)
−0.727936 + 0.685645i \(0.759520\pi\)
\(24\) −7.56256e12 + 6.56640e13i −0.119277 + 1.03566i
\(25\) 8.71973e13 0.914329
\(26\) −1.35667e13 5.18796e11i −0.0961038 0.00367505i
\(27\) 1.96009e14 0.952003
\(28\) −1.23866e13 + 1.61720e14i −0.0418187 + 0.545987i
\(29\) 9.55289e13i 0.227067i −0.993534 0.113534i \(-0.963783\pi\)
0.993534 0.113534i \(-0.0362170\pi\)
\(30\) −1.80048e14 6.88509e12i −0.304912 0.0116600i
\(31\) 1.17024e15i 1.42777i 0.700263 + 0.713885i \(0.253066\pi\)
−0.700263 + 0.713885i \(0.746934\pi\)
\(32\) −2.13862e14 + 1.10540e15i −0.189948 + 0.981794i
\(33\) −7.43490e14 −0.485440
\(34\) 5.93636e13 1.55238e15i 0.0287561 0.751983i
\(35\) −4.42129e14 −0.160276
\(36\) −3.16459e14 2.42385e13i −0.0865550 0.00662949i
\(37\) 8.09037e15i 1.68249i −0.540658 0.841243i \(-0.681825\pi\)
0.540658 0.841243i \(-0.318175\pi\)
\(38\) 2.33201e14 6.09830e15i 0.0371446 0.971343i
\(39\) 8.16169e14i 0.100262i
\(40\) −3.04898e15 3.51152e14i −0.290773 0.0334885i
\(41\) 1.78313e16 1.32844 0.664222 0.747535i \(-0.268763\pi\)
0.664222 + 0.747535i \(0.268763\pi\)
\(42\) −9.74327e15 3.72587e14i −0.570443 0.0218140i
\(43\) 2.76012e16 1.27715 0.638577 0.769558i \(-0.279523\pi\)
0.638577 + 0.769558i \(0.279523\pi\)
\(44\) −1.26275e16 9.67172e14i −0.464290 0.0355612i
\(45\) 8.65173e14i 0.0254084i
\(46\) −5.81287e16 2.22286e15i −1.37029 0.0524004i
\(47\) 1.55525e16i 0.295681i −0.989011 0.147840i \(-0.952768\pi\)
0.989011 0.147840i \(-0.0472322\pi\)
\(48\) −6.68949e16 1.03078e16i −1.03034 0.158765i
\(49\) 5.58665e16 0.700149
\(50\) −3.41199e15 + 8.92248e16i −0.0349388 + 0.913662i
\(51\) 9.33908e16 0.784517
\(52\) 1.06172e15 1.38618e16i 0.00734472 0.0958932i
\(53\) 2.45574e17i 1.40418i 0.712087 + 0.702092i \(0.247750\pi\)
−0.712087 + 0.702092i \(0.752250\pi\)
\(54\) −7.66975e15 + 2.00567e17i −0.0363784 + 0.951308i
\(55\) 3.45225e16i 0.136293i
\(56\) −1.64995e17 1.90026e16i −0.543991 0.0626517i
\(57\) 3.66873e17 1.01337
\(58\) 9.77501e16 + 3.73800e15i 0.226901 + 0.00867680i
\(59\) 4.21252e17 0.824179 0.412089 0.911143i \(-0.364799\pi\)
0.412089 + 0.911143i \(0.364799\pi\)
\(60\) 1.40904e16 1.83965e17i 0.0233029 0.304244i
\(61\) 5.24046e17i 0.734634i −0.930096 0.367317i \(-0.880276\pi\)
0.930096 0.367317i \(-0.119724\pi\)
\(62\) −1.19745e18 4.57910e16i −1.42673 0.0545586i
\(63\) 4.68188e16i 0.0475352i
\(64\) −1.12274e18 2.62089e17i −0.973819 0.227326i
\(65\) 3.78972e16 0.0281497
\(66\) 2.90924e16 7.60777e17i 0.0185499 0.485085i
\(67\) −2.46735e17 −0.135357 −0.0676787 0.997707i \(-0.521559\pi\)
−0.0676787 + 0.997707i \(0.521559\pi\)
\(68\) 1.58615e18 + 1.21488e17i 0.750335 + 0.0574703i
\(69\) 3.49701e18i 1.42957i
\(70\) 1.73003e16 4.52410e17i 0.00612454 0.160159i
\(71\) 3.30845e18i 1.01634i 0.861256 + 0.508172i \(0.169679\pi\)
−0.861256 + 0.508172i \(0.830321\pi\)
\(72\) 3.71849e16 3.22869e17i 0.00993212 0.0862384i
\(73\) −3.00902e18 −0.700158 −0.350079 0.936720i \(-0.613845\pi\)
−0.350079 + 0.936720i \(0.613845\pi\)
\(74\) 8.27849e18 + 3.16573e17i 1.68126 + 0.0642919i
\(75\) −5.36774e18 −0.953189
\(76\) 6.23097e18 + 4.77248e17i 0.969215 + 0.0742349i
\(77\) 1.86818e18i 0.254983i
\(78\) 8.35147e17 + 3.19364e16i 0.100188 + 0.00383124i
\(79\) 1.13858e19i 1.20252i 0.799053 + 0.601261i \(0.205335\pi\)
−0.799053 + 0.601261i \(0.794665\pi\)
\(80\) 4.78623e17 3.10613e18i 0.0445752 0.289281i
\(81\) −1.31214e19 −1.07927
\(82\) −6.97730e17 + 1.82459e19i −0.0507632 + 1.32747i
\(83\) −4.84976e18 −0.312564 −0.156282 0.987712i \(-0.549951\pi\)
−0.156282 + 0.987712i \(0.549951\pi\)
\(84\) 7.62500e17 9.95525e18i 0.0435961 0.569193i
\(85\) 4.33641e18i 0.220263i
\(86\) −1.08002e18 + 2.82430e19i −0.0488032 + 1.27622i
\(87\) 5.88063e18i 0.236718i
\(88\) 1.48377e18 1.28832e19i 0.0532769 0.462592i
\(89\) 1.43860e19 0.461359 0.230680 0.973030i \(-0.425905\pi\)
0.230680 + 0.973030i \(0.425905\pi\)
\(90\) 8.85290e17 + 3.38539e16i 0.0253899 + 0.000970919i
\(91\) 2.05081e18 0.0526636
\(92\) 4.54910e18 5.93933e19i 0.104724 1.36729i
\(93\) 7.20384e19i 1.48845i
\(94\) 1.59142e19 + 6.08564e17i 0.295465 + 0.0112987i
\(95\) 1.70350e19i 0.284515i
\(96\) 1.31651e19 6.80471e19i 0.198021 1.02352i
\(97\) 2.08925e18 0.0283317 0.0141659 0.999900i \(-0.495491\pi\)
0.0141659 + 0.999900i \(0.495491\pi\)
\(98\) −2.18603e18 + 5.71655e19i −0.0267544 + 0.699637i
\(99\) 3.65572e18 0.0404223
\(100\) −9.11659e19 6.98265e18i −0.911659 0.0698265i
\(101\) 1.49716e20i 1.35536i −0.735356 0.677681i \(-0.762985\pi\)
0.735356 0.677681i \(-0.237015\pi\)
\(102\) −3.65434e18 + 9.55623e19i −0.0299783 + 0.783944i
\(103\) 2.30670e20i 1.71640i 0.513314 + 0.858201i \(0.328418\pi\)
−0.513314 + 0.858201i \(0.671582\pi\)
\(104\) 1.41426e19 + 1.62881e18i 0.0955425 + 0.0110037i
\(105\) 2.72169e19 0.167088
\(106\) −2.51284e20 9.60921e18i −1.40316 0.0536573i
\(107\) 2.64324e20 1.34369 0.671843 0.740693i \(-0.265503\pi\)
0.671843 + 0.740693i \(0.265503\pi\)
\(108\) −2.04930e20 1.56962e19i −0.949223 0.0727036i
\(109\) 3.50091e20i 1.47882i −0.673254 0.739411i \(-0.735104\pi\)
0.673254 0.739411i \(-0.264896\pi\)
\(110\) 3.53252e19 + 1.35085e18i 0.136194 + 0.00520811i
\(111\) 4.98032e20i 1.75399i
\(112\) 2.59007e19 1.68088e20i 0.0833932 0.541199i
\(113\) 4.55419e20 1.34161 0.670805 0.741634i \(-0.265949\pi\)
0.670805 + 0.741634i \(0.265949\pi\)
\(114\) −1.43556e19 + 3.75403e20i −0.0387232 + 1.01263i
\(115\) 1.62377e20 0.401370
\(116\) −7.64984e18 + 9.98767e19i −0.0173409 + 0.226404i
\(117\) 4.01309e18i 0.00834872i
\(118\) −1.64834e19 + 4.31047e20i −0.0314939 + 0.823577i
\(119\) 2.34665e20i 0.412077i
\(120\) 1.87691e20 + 2.16165e19i 0.303131 + 0.0349118i
\(121\) −5.26878e20 −0.783171
\(122\) 5.36231e20 + 2.05057e19i 0.734097 + 0.0280722i
\(123\) −1.09767e21 −1.38491
\(124\) 9.37114e19 1.22350e21i 0.109037 1.42360i
\(125\) 5.21834e20i 0.560315i
\(126\) 4.79075e19 + 1.83200e18i 0.0475004 + 0.00181644i
\(127\) 9.90252e20i 0.907212i −0.891202 0.453606i \(-0.850137\pi\)
0.891202 0.453606i \(-0.149863\pi\)
\(128\) 3.12115e20 1.13859e21i 0.264372 0.964421i
\(129\) −1.69909e21 −1.33143
\(130\) −1.48290e18 + 3.87784e19i −0.00107567 + 0.0281291i
\(131\) −2.19779e20 −0.147664 −0.0738318 0.997271i \(-0.523523\pi\)
−0.0738318 + 0.997271i \(0.523523\pi\)
\(132\) 7.77329e20 + 5.95378e19i 0.484022 + 0.0370726i
\(133\) 9.21848e20i 0.532283i
\(134\) 9.65462e18 2.52472e20i 0.00517234 0.135259i
\(135\) 5.60263e20i 0.278647i
\(136\) −1.86378e20 + 1.61828e21i −0.0861005 + 0.747591i
\(137\) 1.21346e21 0.520978 0.260489 0.965477i \(-0.416116\pi\)
0.260489 + 0.965477i \(0.416116\pi\)
\(138\) 3.57832e21 + 1.36837e20i 1.42853 + 0.0546275i
\(139\) 7.11775e20 0.264359 0.132180 0.991226i \(-0.457802\pi\)
0.132180 + 0.991226i \(0.457802\pi\)
\(140\) 4.62252e20 + 3.54052e19i 0.159808 + 0.0122401i
\(141\) 9.57394e20i 0.308247i
\(142\) −3.38538e21 1.29458e20i −1.01560 0.0388370i
\(143\) 1.60132e20i 0.0447834i
\(144\) 3.28921e20 + 5.06833e19i 0.0857959 + 0.0132203i
\(145\) −2.73055e20 −0.0664615
\(146\) 1.17742e20 3.07898e21i 0.0267548 0.699647i
\(147\) −3.43906e21 −0.729906
\(148\) −6.47867e20 + 8.45859e21i −0.128490 + 1.67757i
\(149\) 2.63225e21i 0.488049i 0.969769 + 0.244025i \(0.0784678\pi\)
−0.969769 + 0.244025i \(0.921532\pi\)
\(150\) 2.10038e20 5.49256e21i 0.0364237 0.952493i
\(151\) 2.44641e21i 0.396973i 0.980104 + 0.198486i \(0.0636025\pi\)
−0.980104 + 0.198486i \(0.936397\pi\)
\(152\) −7.32160e20 + 6.35718e21i −0.111217 + 0.965670i
\(153\) −4.59200e20 −0.0653263
\(154\) 1.91162e21 + 7.31012e19i 0.254797 + 0.00974355i
\(155\) 3.34496e21 0.417901
\(156\) −6.53579e19 + 8.53316e20i −0.00765688 + 0.0999687i
\(157\) 7.85849e21i 0.863660i 0.901955 + 0.431830i \(0.142132\pi\)
−0.901955 + 0.431830i \(0.857868\pi\)
\(158\) −1.16506e22 4.45522e20i −1.20164 0.0459514i
\(159\) 1.51172e22i 1.46386i
\(160\) 3.15963e21 + 6.11293e20i 0.287367 + 0.0555968i
\(161\) 8.78701e21 0.750901
\(162\) 5.13436e20 1.34265e22i 0.0412417 1.07848i
\(163\) 1.75843e22 1.32815 0.664076 0.747665i \(-0.268825\pi\)
0.664076 + 0.747665i \(0.268825\pi\)
\(164\) −1.86428e22 1.42791e21i −1.32457 0.101452i
\(165\) 2.12516e21i 0.142086i
\(166\) 1.89769e20 4.96252e21i 0.0119438 0.312336i
\(167\) 2.76153e22i 1.63676i −0.574677 0.818381i \(-0.694872\pi\)
0.574677 0.818381i \(-0.305128\pi\)
\(168\) 1.01569e22 + 1.16977e21i 0.567111 + 0.0653145i
\(169\) 1.88292e22 0.990751
\(170\) −4.43724e21 1.69682e20i −0.220102 0.00841679i
\(171\) −1.80390e21 −0.0843825
\(172\) −2.88574e22 2.21027e21i −1.27342 0.0975351i
\(173\) 2.24815e22i 0.936190i 0.883678 + 0.468095i \(0.155060\pi\)
−0.883678 + 0.468095i \(0.844940\pi\)
\(174\) −6.01736e21 2.30106e20i −0.236545 0.00904558i
\(175\) 1.34876e22i 0.500675i
\(176\) 1.31247e22 + 2.02238e21i 0.460218 + 0.0709148i
\(177\) −2.59317e22 −0.859207
\(178\) −5.62917e20 + 1.47205e22i −0.0176297 + 0.461023i
\(179\) −2.88938e22 −0.855606 −0.427803 0.903872i \(-0.640712\pi\)
−0.427803 + 0.903872i \(0.640712\pi\)
\(180\) −6.92821e19 + 9.04550e20i −0.00194042 + 0.0253342i
\(181\) 2.95994e22i 0.784327i 0.919895 + 0.392164i \(0.128273\pi\)
−0.919895 + 0.392164i \(0.871727\pi\)
\(182\) −8.02471e19 + 2.09849e21i −0.00201241 + 0.0526251i
\(183\) 3.22595e22i 0.765856i
\(184\) 6.05964e22 + 6.97891e21i 1.36229 + 0.156895i
\(185\) −2.31251e22 −0.492456
\(186\) 7.37134e22 + 2.81883e21i 1.48736 + 0.0568774i
\(187\) −1.83232e22 −0.350417
\(188\) −1.24543e21 + 1.62604e22i −0.0225809 + 0.294817i
\(189\) 3.03186e22i 0.521304i
\(190\) −1.74311e22 6.66572e20i −0.284308 0.0108720i
\(191\) 4.22015e22i 0.653122i 0.945176 + 0.326561i \(0.105890\pi\)
−0.945176 + 0.326561i \(0.894110\pi\)
\(192\) 6.91141e22 + 1.61338e22i 1.01521 + 0.236987i
\(193\) −2.84002e22 −0.396048 −0.198024 0.980197i \(-0.563452\pi\)
−0.198024 + 0.980197i \(0.563452\pi\)
\(194\) −8.17514e19 + 2.13783e21i −0.00108263 + 0.0283110i
\(195\) −2.33290e21 −0.0293461
\(196\) −5.84092e22 4.47372e21i −0.698104 0.0534698i
\(197\) 1.41075e23i 1.60246i −0.598354 0.801232i \(-0.704178\pi\)
0.598354 0.801232i \(-0.295822\pi\)
\(198\) −1.43047e20 + 3.74073e21i −0.00154464 + 0.0403928i
\(199\) 1.25438e23i 1.28795i 0.765047 + 0.643974i \(0.222716\pi\)
−0.765047 + 0.643974i \(0.777284\pi\)
\(200\) 1.07123e22 9.30125e22i 0.104612 0.908325i
\(201\) 1.51886e22 0.141110
\(202\) 1.53197e23 + 5.85833e21i 1.35437 + 0.0517917i
\(203\) −1.47764e22 −0.124339
\(204\) −9.76413e22 7.47862e21i −0.782225 0.0599128i
\(205\) 5.09680e22i 0.388830i
\(206\) −2.36034e23 9.02602e21i −1.71515 0.0655879i
\(207\) 1.71947e22i 0.119040i
\(208\) −2.22008e21 + 1.44077e22i −0.0146466 + 0.0950522i
\(209\) −7.19800e22 −0.452636
\(210\) −1.06498e21 + 2.78497e22i −0.00638484 + 0.166966i
\(211\) −1.50302e22 −0.0859289 −0.0429644 0.999077i \(-0.513680\pi\)
−0.0429644 + 0.999077i \(0.513680\pi\)
\(212\) 1.96653e22 2.56751e23i 0.107236 1.40008i
\(213\) 2.03664e23i 1.05954i
\(214\) −1.03429e22 + 2.70470e23i −0.0513456 + 1.34271i
\(215\) 7.88939e22i 0.373817i
\(216\) 2.40800e22 2.09081e23i 0.108923 0.945751i
\(217\) 1.81012e23 0.781827
\(218\) 3.58231e23 + 1.36989e22i 1.47774 + 0.0565094i
\(219\) 1.85231e23 0.729916
\(220\) −2.76452e21 + 3.60937e22i −0.0104086 + 0.135895i
\(221\) 2.01144e22i 0.0723741i
\(222\) −5.09613e23 1.94878e22i −1.75271 0.0670244i
\(223\) 2.87848e23i 0.946486i 0.880932 + 0.473243i \(0.156917\pi\)
−0.880932 + 0.473243i \(0.843083\pi\)
\(224\) 1.70983e23 + 3.30801e22i 0.537617 + 0.104013i
\(225\) 2.63931e22 0.0793715
\(226\) −1.78203e22 + 4.66008e23i −0.0512663 + 1.34063i
\(227\) 1.98559e23 0.546551 0.273275 0.961936i \(-0.411893\pi\)
0.273275 + 0.961936i \(0.411893\pi\)
\(228\) −3.83570e23 2.93787e22i −1.01041 0.0773899i
\(229\) 6.11210e23i 1.54112i 0.637369 + 0.770559i \(0.280023\pi\)
−0.637369 + 0.770559i \(0.719977\pi\)
\(230\) −6.35373e21 + 1.66152e23i −0.0153374 + 0.401077i
\(231\) 1.15003e23i 0.265820i
\(232\) −1.01900e23 1.17358e22i −0.225576 0.0259797i
\(233\) 6.49765e23 1.37783 0.688917 0.724840i \(-0.258086\pi\)
0.688917 + 0.724840i \(0.258086\pi\)
\(234\) −4.10640e21 1.57030e20i −0.00834262 0.000319025i
\(235\) −4.44547e22 −0.0865443
\(236\) −4.40424e23 3.37333e22i −0.821772 0.0629418i
\(237\) 7.00895e23i 1.25363i
\(238\) −2.40121e23 9.18234e21i −0.411776 0.0157465i
\(239\) 1.77828e23i 0.292429i −0.989253 0.146215i \(-0.953291\pi\)
0.989253 0.146215i \(-0.0467090\pi\)
\(240\) −2.94634e22 + 1.91209e23i −0.0464697 + 0.301576i
\(241\) −8.68911e23 −1.31463 −0.657317 0.753614i \(-0.728309\pi\)
−0.657317 + 0.753614i \(0.728309\pi\)
\(242\) 2.06165e22 5.39129e23i 0.0299269 0.782599i
\(243\) 1.24297e23 0.173140
\(244\) −4.19650e22 + 5.47897e23i −0.0561033 + 0.732488i
\(245\) 1.59686e23i 0.204930i
\(246\) 4.29513e22 1.12319e24i 0.0529206 1.38389i
\(247\) 7.90164e22i 0.0934863i
\(248\) 1.24828e24 + 1.43766e23i 1.41839 + 0.163357i
\(249\) 2.98544e23 0.325848
\(250\) 5.33968e23 + 2.04191e22i 0.559906 + 0.0214110i
\(251\) −5.29812e23 −0.533807 −0.266904 0.963723i \(-0.586001\pi\)
−0.266904 + 0.963723i \(0.586001\pi\)
\(252\) −3.74920e21 + 4.89497e22i −0.00363022 + 0.0473963i
\(253\) 6.86110e23i 0.638541i
\(254\) 1.01328e24 + 3.87481e22i 0.906549 + 0.0346668i
\(255\) 2.66944e23i 0.229624i
\(256\) 1.15285e24 + 3.63925e23i 0.953614 + 0.301032i
\(257\) −1.81348e24 −1.44272 −0.721360 0.692560i \(-0.756483\pi\)
−0.721360 + 0.692560i \(0.756483\pi\)
\(258\) 6.64847e22 1.73860e24i 0.0508774 1.33046i
\(259\) −1.25142e24 −0.921306
\(260\) −3.96220e22 3.03476e21i −0.0280675 0.00214977i
\(261\) 2.89149e22i 0.0197114i
\(262\) 8.59986e21 2.24889e23i 0.00564259 0.147556i
\(263\) 2.32082e24i 1.46583i −0.680319 0.732916i \(-0.738159\pi\)
0.680319 0.732916i \(-0.261841\pi\)
\(264\) −9.13387e22 + 7.93074e23i −0.0555412 + 0.482252i
\(265\) 7.01937e23 0.410998
\(266\) −9.43283e23 3.60715e22i −0.531895 0.0203399i
\(267\) −8.85582e23 −0.480968
\(268\) 2.57964e23 + 1.97582e22i 0.134962 + 0.0103371i
\(269\) 3.03348e24i 1.52904i 0.644600 + 0.764520i \(0.277024\pi\)
−0.644600 + 0.764520i \(0.722976\pi\)
\(270\) 5.73290e23 + 2.19228e22i 0.278443 + 0.0106478i
\(271\) 8.65982e23i 0.405337i −0.979247 0.202668i \(-0.935039\pi\)
0.979247 0.202668i \(-0.0649613\pi\)
\(272\) −1.64861e24 2.54034e23i −0.743755 0.114605i
\(273\) −1.26245e23 −0.0549019
\(274\) −4.74822e22 + 1.24168e24i −0.0199079 + 0.520598i
\(275\) 1.05315e24 0.425757
\(276\) −2.80037e23 + 3.65617e24i −0.109175 + 1.42540i
\(277\) 4.40317e24i 1.65565i 0.560990 + 0.827823i \(0.310421\pi\)
−0.560990 + 0.827823i \(0.689579\pi\)
\(278\) −2.78514e22 + 7.28325e23i −0.0101018 + 0.264166i
\(279\) 3.54211e23i 0.123942i
\(280\) −5.43161e22 + 4.71615e23i −0.0183379 + 0.159224i
\(281\) 3.07116e24 1.00055 0.500276 0.865866i \(-0.333232\pi\)
0.500276 + 0.865866i \(0.333232\pi\)
\(282\) −9.79655e23 3.74624e22i −0.308022 0.0117789i
\(283\) 3.69971e24 1.12280 0.561402 0.827543i \(-0.310262\pi\)
0.561402 + 0.827543i \(0.310262\pi\)
\(284\) 2.64937e23 3.45903e24i 0.0776173 1.01338i
\(285\) 1.04865e24i 0.296608i
\(286\) −1.63855e23 6.26588e21i −0.0447507 0.00171128i
\(287\) 2.75813e24i 0.727439i
\(288\) −6.47323e22 + 3.34586e23i −0.0164891 + 0.0852281i
\(289\) −1.76263e24 −0.433694
\(290\) 1.06845e22 2.79404e23i 0.00253966 0.0664130i
\(291\) −1.28611e23 −0.0295359
\(292\) 3.14597e24 + 2.40959e23i 0.698114 + 0.0534705i
\(293\) 3.10876e24i 0.666671i −0.942808 0.333335i \(-0.891826\pi\)
0.942808 0.333335i \(-0.108174\pi\)
\(294\) 1.34569e23 3.51903e24i 0.0278915 0.729373i
\(295\) 1.20409e24i 0.241233i
\(296\) −8.62992e24 9.93913e23i −1.67144 0.192500i
\(297\) 2.36735e24 0.443300
\(298\) −2.69345e24 1.02999e23i −0.487693 0.0186496i
\(299\) −7.53181e23 −0.131883
\(300\) 5.61205e24 + 4.29843e23i 0.950406 + 0.0727942i
\(301\) 4.26934e24i 0.699352i
\(302\) −2.50330e24 9.57271e22i −0.396683 0.0151693i
\(303\) 9.21633e24i 1.41297i
\(304\) −6.47635e24 9.97938e23i −0.960715 0.148036i
\(305\) −1.49791e24 −0.215024
\(306\) 1.79683e22 4.69878e23i 0.00249628 0.0652785i
\(307\) 8.14443e23 0.109516 0.0547579 0.998500i \(-0.482561\pi\)
0.0547579 + 0.998500i \(0.482561\pi\)
\(308\) −1.49602e23 + 1.95321e24i −0.0194729 + 0.254239i
\(309\) 1.41997e25i 1.78935i
\(310\) −1.30887e23 + 3.42274e24i −0.0159690 + 0.417596i
\(311\) 6.16008e24i 0.727750i 0.931448 + 0.363875i \(0.118547\pi\)
−0.931448 + 0.363875i \(0.881453\pi\)
\(312\) −8.70600e23 1.00268e23i −0.0996031 0.0114713i
\(313\) 1.22170e25 1.35370 0.676848 0.736123i \(-0.263345\pi\)
0.676848 + 0.736123i \(0.263345\pi\)
\(314\) −8.04122e24 3.07499e23i −0.863029 0.0330026i
\(315\) −1.33825e23 −0.0139133
\(316\) 9.11763e23 1.19040e25i 0.0918356 1.19901i
\(317\) 2.56157e24i 0.249985i 0.992158 + 0.124992i \(0.0398907\pi\)
−0.992158 + 0.124992i \(0.960109\pi\)
\(318\) 1.54687e25 + 5.91530e23i 1.46279 + 0.0559378i
\(319\) 1.15377e24i 0.105734i
\(320\) −7.49142e23 + 3.20918e24i −0.0665372 + 0.285032i
\(321\) −1.62714e25 −1.40080
\(322\) −3.43832e23 + 8.99133e24i −0.0286938 + 0.750352i
\(323\) 9.04151e24 0.731502
\(324\) 1.37186e25 + 1.05075e24i 1.07612 + 0.0824231i
\(325\) 1.15610e24i 0.0879347i
\(326\) −6.88064e23 + 1.79931e25i −0.0507520 + 1.32718i
\(327\) 2.15511e25i 1.54167i
\(328\) 2.19059e24 1.90204e25i 0.151993 1.31972i
\(329\) −2.40566e24 −0.161911
\(330\) −2.17457e24 8.31564e22i −0.141982 0.00542946i
\(331\) −1.75257e25 −1.11019 −0.555093 0.831788i \(-0.687317\pi\)
−0.555093 + 0.831788i \(0.687317\pi\)
\(332\) 5.07049e24 + 3.88363e23i 0.311651 + 0.0238702i
\(333\) 2.44881e24i 0.146054i
\(334\) 2.82574e25 + 1.08058e24i 1.63557 + 0.0625447i
\(335\) 7.05254e23i 0.0396185i
\(336\) −1.59441e24 + 1.03473e25i −0.0869375 + 0.564201i
\(337\) −2.12183e25 −1.12308 −0.561540 0.827449i \(-0.689791\pi\)
−0.561540 + 0.827449i \(0.689791\pi\)
\(338\) −7.36778e23 + 1.92670e25i −0.0378590 + 0.990027i
\(339\) −2.80350e25 −1.39863
\(340\) 3.47255e23 4.53378e24i 0.0168213 0.219620i
\(341\) 1.41339e25i 0.664840i
\(342\) 7.05860e22 1.84585e24i 0.00322446 0.0843208i
\(343\) 2.09836e25i 0.930979i
\(344\) 3.39084e24 2.94419e25i 0.146125 1.26877i
\(345\) −9.99569e24 −0.418429
\(346\) −2.30042e25 8.79691e23i −0.935507 0.0357741i
\(347\) 1.61375e25 0.637592 0.318796 0.947823i \(-0.396722\pi\)
0.318796 + 0.947823i \(0.396722\pi\)
\(348\) 4.70914e23 6.14828e24i 0.0180779 0.236027i
\(349\) 2.24563e25i 0.837692i −0.908057 0.418846i \(-0.862435\pi\)
0.908057 0.418846i \(-0.137565\pi\)
\(350\) 1.38013e25 + 5.27766e23i 0.500309 + 0.0191320i
\(351\) 2.59877e24i 0.0915580i
\(352\) −2.58297e24 + 1.33508e25i −0.0884490 + 0.457172i
\(353\) 5.47178e25 1.82130 0.910650 0.413178i \(-0.135581\pi\)
0.910650 + 0.413178i \(0.135581\pi\)
\(354\) 1.01470e24 2.65346e25i 0.0328324 0.858580i
\(355\) 9.45671e24 0.297479
\(356\) −1.50407e25 1.15201e24i −0.460012 0.0352336i
\(357\) 1.44457e25i 0.429591i
\(358\) 1.13060e24 2.95656e25i 0.0326948 0.854982i
\(359\) 7.27751e24i 0.204662i −0.994750 0.102331i \(-0.967370\pi\)
0.994750 0.102331i \(-0.0326302\pi\)
\(360\) −9.22872e23 1.06288e23i −0.0252416 0.00290709i
\(361\) −2.07167e24 −0.0551122
\(362\) −3.02877e25 1.15821e24i −0.783755 0.0299711i
\(363\) 3.24339e25 0.816456
\(364\) −2.14415e24 1.64226e23i −0.0525098 0.00402187i
\(365\) 8.60084e24i 0.204933i
\(366\) −3.30097e25 1.26230e24i −0.765297 0.0292653i
\(367\) 2.03693e25i 0.459532i −0.973246 0.229766i \(-0.926204\pi\)
0.973246 0.229766i \(-0.0737962\pi\)
\(368\) −9.51230e24 + 6.17323e25i −0.208837 + 1.35530i
\(369\) 5.39721e24 0.115320
\(370\) 9.04877e23 2.36628e25i 0.0188179 0.492096i
\(371\) 3.79853e25 0.768912
\(372\) −5.76875e24 + 7.53171e25i −0.113672 + 1.48410i
\(373\) 2.39090e25i 0.458642i 0.973351 + 0.229321i \(0.0736505\pi\)
−0.973351 + 0.229321i \(0.926349\pi\)
\(374\) 7.16978e23 1.87492e25i 0.0133903 0.350161i
\(375\) 3.21234e25i 0.584129i
\(376\) −1.65898e25 1.91065e24i −0.293739 0.0338301i
\(377\) 1.26656e24 0.0218380
\(378\) 3.10236e25 + 1.18635e24i 0.520923 + 0.0199203i
\(379\) −5.54765e25 −0.907229 −0.453614 0.891198i \(-0.649866\pi\)
−0.453614 + 0.891198i \(0.649866\pi\)
\(380\) 1.36414e24 1.78103e25i 0.0217282 0.283685i
\(381\) 6.09586e25i 0.945769i
\(382\) −4.31828e25 1.65133e24i −0.652645 0.0249574i
\(383\) 3.50725e25i 0.516391i −0.966093 0.258196i \(-0.916872\pi\)
0.966093 0.258196i \(-0.0831279\pi\)
\(384\) −1.92134e25 + 7.00899e25i −0.275608 + 1.00541i
\(385\) −5.33992e24 −0.0746325
\(386\) 1.11129e24 2.90605e25i 0.0151340 0.395759i
\(387\) 8.35440e24 0.110868
\(388\) −2.18434e24 1.67305e23i −0.0282490 0.00216367i
\(389\) 8.84689e25i 1.11505i 0.830160 + 0.557525i \(0.188249\pi\)
−0.830160 + 0.557525i \(0.811751\pi\)
\(390\) 9.12854e22 2.38715e24i 0.00112139 0.0293246i
\(391\) 8.61832e25i 1.03194i
\(392\) 6.86327e24 5.95922e25i 0.0801070 0.695551i
\(393\) 1.35293e25 0.153939
\(394\) 1.44355e26 + 5.52021e24i 1.60129 + 0.0612341i
\(395\) 3.25447e25 0.351973
\(396\) −3.82211e24 2.92746e23i −0.0403043 0.00308702i
\(397\) 2.75841e25i 0.283631i 0.989893 + 0.141815i \(0.0452940\pi\)
−0.989893 + 0.141815i \(0.954706\pi\)
\(398\) −1.28355e26 4.90834e24i −1.28701 0.0492157i
\(399\) 5.67477e25i 0.554906i
\(400\) 9.47561e25 + 1.46009e25i 0.903664 + 0.139245i
\(401\) 1.28179e26 1.19226 0.596132 0.802886i \(-0.296703\pi\)
0.596132 + 0.802886i \(0.296703\pi\)
\(402\) −5.94325e23 + 1.55418e25i −0.00539217 + 0.141007i
\(403\) −1.55155e25 −0.137314
\(404\) −1.19891e25 + 1.56530e26i −0.103508 + 1.35140i
\(405\) 3.75057e25i 0.315898i
\(406\) 5.78193e23 1.51200e25i 0.00475130 0.124248i
\(407\) 9.77135e25i 0.783448i
\(408\) 1.14732e25 9.96191e25i 0.0897598 0.779365i
\(409\) −2.43179e26 −1.85649 −0.928245 0.371970i \(-0.878682\pi\)
−0.928245 + 0.371970i \(0.878682\pi\)
\(410\) 5.21532e25 + 1.99436e24i 0.388546 + 0.0148581i
\(411\) −7.46989e25 −0.543121
\(412\) 1.84718e25 2.41169e26i 0.131080 1.71139i
\(413\) 6.51591e25i 0.451309i
\(414\) −1.75945e25 6.72822e23i −0.118953 0.00454880i
\(415\) 1.38623e25i 0.0914860i
\(416\) −1.46559e25 2.83547e24i −0.0944231 0.0182680i
\(417\) −4.38159e25 −0.275595
\(418\) 2.81655e24 7.36537e25i 0.0172963 0.452306i
\(419\) −1.28227e26 −0.768847 −0.384424 0.923157i \(-0.625600\pi\)
−0.384424 + 0.923157i \(0.625600\pi\)
\(420\) −2.84556e25 2.17949e24i −0.166600 0.0127604i
\(421\) 9.55424e25i 0.546230i −0.961981 0.273115i \(-0.911946\pi\)
0.961981 0.273115i \(-0.0880539\pi\)
\(422\) 5.88124e23 1.53796e25i 0.00328355 0.0858661i
\(423\) 4.70748e24i 0.0256676i
\(424\) 2.61952e26 + 3.01691e25i 1.39496 + 0.160659i
\(425\) −1.32287e26 −0.688063
\(426\) 2.08399e26 + 7.96927e24i 1.05877 + 0.0404876i
\(427\) −8.10592e25 −0.402276
\(428\) −2.76354e26 2.11667e25i −1.33976 0.102616i
\(429\) 9.85749e24i 0.0466867i
\(430\) 8.07284e25 + 3.08709e24i 0.373544 + 0.0142845i
\(431\) 4.16737e26i 1.88404i 0.335563 + 0.942018i \(0.391073\pi\)
−0.335563 + 0.942018i \(0.608927\pi\)
\(432\) 2.13000e26 + 3.28211e25i 0.940899 + 0.144983i
\(433\) 1.01631e26 0.438680 0.219340 0.975648i \(-0.429610\pi\)
0.219340 + 0.975648i \(0.429610\pi\)
\(434\) −7.08293e24 + 1.85221e26i −0.0298756 + 0.781256i
\(435\) 1.68089e25 0.0692862
\(436\) −2.80349e25 + 3.66025e26i −0.112936 + 1.47450i
\(437\) 3.38559e26i 1.33297i
\(438\) −7.24801e24 + 1.89538e26i −0.0278919 + 0.729383i
\(439\) 4.93500e26i 1.85628i 0.372237 + 0.928138i \(0.378591\pi\)
−0.372237 + 0.928138i \(0.621409\pi\)
\(440\) −3.68248e25 4.24113e24i −0.135398 0.0155939i
\(441\) 1.69098e25 0.0607789
\(442\) 2.05821e25 + 7.87066e23i 0.0723213 + 0.00276559i
\(443\) 3.85805e26 1.32535 0.662676 0.748906i \(-0.269421\pi\)
0.662676 + 0.748906i \(0.269421\pi\)
\(444\) 3.98818e25 5.20700e26i 0.133951 1.74887i
\(445\) 4.11202e25i 0.135038i
\(446\) −2.94541e26 1.12634e25i −0.945795 0.0361676i
\(447\) 1.62037e26i 0.508792i
\(448\) −4.05398e25 + 1.73665e26i −0.124481 + 0.533250i
\(449\) 4.60843e26 1.38385 0.691926 0.721968i \(-0.256762\pi\)
0.691926 + 0.721968i \(0.256762\pi\)
\(450\) −1.03275e24 + 2.70068e25i −0.00303298 + 0.0793136i
\(451\) 2.15361e26 0.618590
\(452\) −4.76147e26 3.64694e25i −1.33769 0.102458i
\(453\) 1.50598e26i 0.413844i
\(454\) −7.76952e24 + 2.03176e26i −0.0208851 + 0.546152i
\(455\) 5.86193e24i 0.0154144i
\(456\) 4.50708e25 3.91339e26i 0.115944 1.00671i
\(457\) −8.85671e24 −0.0222900 −0.0111450 0.999938i \(-0.503548\pi\)
−0.0111450 + 0.999938i \(0.503548\pi\)
\(458\) −6.25422e26 2.39164e25i −1.53999 0.0588899i
\(459\) −2.97366e26 −0.716414
\(460\) −1.69767e26 1.30029e25i −0.400198 0.0306523i
\(461\) 1.59679e26i 0.368331i −0.982895 0.184165i \(-0.941042\pi\)
0.982895 0.184165i \(-0.0589582\pi\)
\(462\) −1.17677e26 4.50001e24i −0.265626 0.0101577i
\(463\) 3.46977e26i 0.766462i 0.923653 + 0.383231i \(0.125189\pi\)
−0.923653 + 0.383231i \(0.874811\pi\)
\(464\) 1.59960e25 1.03810e26i 0.0345806 0.224419i
\(465\) −2.05911e26 −0.435663
\(466\) −2.54250e25 + 6.64873e26i −0.0526505 + 1.37683i
\(467\) 6.35479e26 1.28805 0.644025 0.765005i \(-0.277263\pi\)
0.644025 + 0.765005i \(0.277263\pi\)
\(468\) 3.21363e23 4.19574e24i 0.000637584 0.00832434i
\(469\) 3.81648e25i 0.0741199i
\(470\) 1.73949e24 4.54883e25i 0.00330707 0.0864811i
\(471\) 4.83758e26i 0.900366i
\(472\) 5.17513e25 4.49345e26i 0.0942978 0.818766i
\(473\) 3.33360e26 0.594706
\(474\) 7.17193e26 + 2.74257e25i 1.25272 + 0.0479043i
\(475\) −5.19672e26 −0.888777
\(476\) 1.87917e25 2.45345e26i 0.0314700 0.410874i
\(477\) 7.43310e25i 0.121895i
\(478\) 1.81963e26 + 6.95833e24i 0.292216 + 0.0111744i
\(479\) 6.78069e26i 1.06640i −0.845990 0.533198i \(-0.820990\pi\)
0.845990 0.533198i \(-0.179010\pi\)
\(480\) −1.94502e26 3.76304e25i −0.299580 0.0579597i
\(481\) 1.07265e26 0.161811
\(482\) 3.40001e25 8.89115e26i 0.0502354 1.31367i
\(483\) −5.40917e26 −0.782815
\(484\) 5.50858e26 + 4.21918e25i 0.780883 + 0.0598100i
\(485\) 5.97181e24i 0.00829256i
\(486\) −4.86368e24 + 1.27187e26i −0.00661610 + 0.173013i
\(487\) 1.58063e26i 0.210640i 0.994438 + 0.105320i \(0.0335867\pi\)
−0.994438 + 0.105320i \(0.966413\pi\)
\(488\) −5.58995e26 6.43797e25i −0.729809 0.0840525i
\(489\) −1.08246e27 −1.38460
\(490\) 1.63399e26 + 6.24845e24i 0.204781 + 0.00783089i
\(491\) 8.93462e26 1.09714 0.548569 0.836105i \(-0.315173\pi\)
0.548569 + 0.836105i \(0.315173\pi\)
\(492\) 1.14763e27 + 8.79000e25i 1.38086 + 0.105764i
\(493\) 1.44927e26i 0.170876i
\(494\) 8.08537e25 + 3.09188e24i 0.0934180 + 0.00357234i
\(495\) 1.04493e25i 0.0118314i
\(496\) −1.95953e26 + 1.27168e27i −0.217438 + 1.41111i
\(497\) 5.11750e26 0.556536
\(498\) −1.16819e25 + 3.05486e26i −0.0124515 + 0.325610i
\(499\) −5.36375e26 −0.560354 −0.280177 0.959948i \(-0.590393\pi\)
−0.280177 + 0.959948i \(0.590393\pi\)
\(500\) −4.17879e25 + 5.45585e26i −0.0427908 + 0.558679i
\(501\) 1.69996e27i 1.70633i
\(502\) 2.07313e25 5.42131e26i 0.0203981 0.533417i
\(503\) 5.79553e26i 0.559002i 0.960145 + 0.279501i \(0.0901691\pi\)
−0.960145 + 0.279501i \(0.909831\pi\)
\(504\) −4.99412e25 5.75175e24i −0.0472230 0.00543870i
\(505\) −4.27942e26 −0.396708
\(506\) −7.02064e26 2.68472e25i −0.638075 0.0244002i
\(507\) −1.15910e27 −1.03286
\(508\) −7.92982e25 + 1.03532e27i −0.0692829 + 0.904562i
\(509\) 3.79126e26i 0.324792i −0.986726 0.162396i \(-0.948078\pi\)
0.986726 0.162396i \(-0.0519223\pi\)
\(510\) 2.73151e26 + 1.04454e25i 0.229457 + 0.00877451i
\(511\) 4.65434e26i 0.383397i
\(512\) −4.17497e26 + 1.16541e27i −0.337252 + 0.941415i
\(513\) −1.16816e27 −0.925398
\(514\) 7.09608e25 1.85565e27i 0.0551299 1.44167i
\(515\) 6.59336e26 0.502383
\(516\) 1.77642e27 + 1.36061e26i 1.32755 + 0.101680i
\(517\) 1.87840e26i 0.137684i
\(518\) 4.89674e25 1.28051e27i 0.0352054 0.920634i
\(519\) 1.38393e27i 0.975979i
\(520\) 4.65572e24 4.04246e25i 0.00322072 0.0279648i
\(521\) 1.82007e27 1.23512 0.617562 0.786522i \(-0.288120\pi\)
0.617562 + 0.786522i \(0.288120\pi\)
\(522\) 2.95872e25 + 1.13143e24i 0.0196970 + 0.000753220i
\(523\) −9.89424e26 −0.646198 −0.323099 0.946365i \(-0.604725\pi\)
−0.323099 + 0.946365i \(0.604725\pi\)
\(524\) 2.29782e26 + 1.75996e25i 0.147232 + 0.0112769i
\(525\) 8.30281e26i 0.521954i
\(526\) 2.37479e27 + 9.08128e25i 1.46476 + 0.0560131i
\(527\) 1.77537e27i 1.07444i
\(528\) −8.07940e26 1.24495e26i −0.479778 0.0739287i
\(529\) −1.51097e27 −0.880439
\(530\) −2.74665e25 + 7.18259e26i −0.0157052 + 0.410698i
\(531\) 1.27505e26 0.0715457
\(532\) 7.38205e25 9.63805e26i 0.0406500 0.530729i
\(533\) 2.36414e26i 0.127762i
\(534\) 3.46524e25 9.06173e26i 0.0183790 0.480616i
\(535\) 7.55530e26i 0.393291i
\(536\) −3.03117e25 + 2.63189e26i −0.0154868 + 0.134469i
\(537\) 1.77866e27 0.891971
\(538\) −3.10402e27 1.18699e26i −1.52792 0.0584284i
\(539\) 6.74741e26 0.326024
\(540\) −4.48652e25 + 5.85763e26i −0.0212800 + 0.277833i
\(541\) 1.20643e27i 0.561732i 0.959747 + 0.280866i \(0.0906216\pi\)
−0.959747 + 0.280866i \(0.909378\pi\)
\(542\) 8.86118e26 + 3.38855e25i 0.405041 + 0.0154889i
\(543\) 1.82210e27i 0.817662i
\(544\) 3.24451e26 1.67701e27i 0.142942 0.738833i
\(545\) −1.00068e27 −0.432844
\(546\) 4.93991e24 1.29180e26i 0.00209794 0.0548618i
\(547\) 1.77472e27 0.740042 0.370021 0.929023i \(-0.379350\pi\)
0.370021 + 0.929023i \(0.379350\pi\)
\(548\) −1.26869e27 9.71724e25i −0.519457 0.0397867i
\(549\) 1.58619e26i 0.0637724i
\(550\) −4.12092e25 + 1.07763e27i −0.0162692 + 0.425446i
\(551\) 5.69326e26i 0.220722i
\(552\) −3.73023e27 4.29612e26i −1.42018 0.163563i
\(553\) 1.76115e27 0.658485
\(554\) −4.50555e27 1.72294e26i −1.65444 0.0632663i
\(555\) 1.42355e27 0.513385
\(556\) −7.44170e26 5.69981e25i −0.263587 0.0201889i
\(557\) 5.26001e26i 0.182993i 0.995805 + 0.0914965i \(0.0291650\pi\)
−0.995805 + 0.0914965i \(0.970835\pi\)
\(558\) −3.62447e26 1.38601e25i −0.123852 0.00473615i
\(559\) 3.65948e26i 0.122829i
\(560\) −4.80456e26 7.40332e25i −0.158407 0.0244088i
\(561\) 1.12795e27 0.365310
\(562\) −1.20173e26 + 3.14257e27i −0.0382336 + 0.999821i
\(563\) 1.43328e27 0.447968 0.223984 0.974593i \(-0.428094\pi\)
0.223984 + 0.974593i \(0.428094\pi\)
\(564\) 7.66670e25 1.00097e27i 0.0235406 0.307347i
\(565\) 1.30175e27i 0.392683i
\(566\) −1.44768e26 + 3.78574e27i −0.0429051 + 1.12198i
\(567\) 2.02962e27i 0.590995i
\(568\) 3.52909e27 + 4.06447e26i 1.00967 + 0.116284i
\(569\) 3.05567e27 0.858980 0.429490 0.903072i \(-0.358693\pi\)
0.429490 + 0.903072i \(0.358693\pi\)
\(570\) 1.07303e27 + 4.10333e25i 0.296391 + 0.0113341i
\(571\) −1.35768e27 −0.368500 −0.184250 0.982879i \(-0.558986\pi\)
−0.184250 + 0.982879i \(0.558986\pi\)
\(572\) 1.28232e25 1.67420e26i 0.00342007 0.0446526i
\(573\) 2.59787e27i 0.680880i
\(574\) 2.82227e27 + 1.07925e26i 0.726907 + 0.0277972i
\(575\) 4.95348e27i 1.25381i
\(576\) −3.39833e26 7.93297e25i −0.0845357 0.0197338i
\(577\) −2.39151e27 −0.584675 −0.292337 0.956315i \(-0.594433\pi\)
−0.292337 + 0.956315i \(0.594433\pi\)
\(578\) 6.89710e25 1.80362e27i 0.0165725 0.433377i
\(579\) 1.74828e27 0.412880
\(580\) 2.85483e26 + 2.18659e25i 0.0662674 + 0.00507561i
\(581\) 7.50159e26i 0.171156i
\(582\) 5.03251e24 1.31602e26i 0.00112864 0.0295143i
\(583\) 2.96598e27i 0.653857i
\(584\) −3.69662e26 + 3.20969e27i −0.0801081 + 0.695560i
\(585\) 1.14708e25 0.00244363
\(586\) 3.18105e27 + 1.21645e26i 0.666184 + 0.0254751i
\(587\) −8.53021e27 −1.75622 −0.878110 0.478459i \(-0.841195\pi\)
−0.878110 + 0.478459i \(0.841195\pi\)
\(588\) 3.59559e27 + 2.75396e26i 0.727774 + 0.0557423i
\(589\) 6.97431e27i 1.38787i
\(590\) 1.23208e27 + 4.71153e25i 0.241057 + 0.00921812i
\(591\) 8.68439e27i 1.67057i
\(592\) 1.35471e27 8.79170e27i 0.256229 1.66286i
\(593\) −6.78323e27 −1.26151 −0.630753 0.775984i \(-0.717254\pi\)
−0.630753 + 0.775984i \(0.717254\pi\)
\(594\) −9.26333e25 + 2.42239e27i −0.0169396 + 0.442976i
\(595\) 6.70755e26 0.120613
\(596\) 2.10787e26 2.75205e27i 0.0372719 0.486624i
\(597\) 7.72180e27i 1.34269i
\(598\) 2.94716e25 7.70694e26i 0.00503956 0.131786i
\(599\) 2.14857e27i 0.361311i −0.983546 0.180655i \(-0.942178\pi\)
0.983546 0.180655i \(-0.0578219\pi\)
\(600\) −6.59435e26 + 5.72572e27i −0.109058 + 0.946930i
\(601\) −6.28435e27 −1.02215 −0.511076 0.859535i \(-0.670753\pi\)
−0.511076 + 0.859535i \(0.670753\pi\)
\(602\) 4.36861e27 + 1.67058e26i 0.698842 + 0.0267240i
\(603\) −7.46822e25 −0.0117502
\(604\) 1.95906e26 2.55776e27i 0.0303165 0.395813i
\(605\) 1.50600e27i 0.229230i
\(606\) −9.43063e27 3.60631e26i −1.41193 0.0539929i
\(607\) 7.51691e27i 1.10701i −0.832845 0.553506i \(-0.813290\pi\)
0.832845 0.553506i \(-0.186710\pi\)
\(608\) 1.27456e27 6.58789e27i 0.184639 0.954356i
\(609\) 9.09613e26 0.129624
\(610\) 5.86125e25 1.53274e27i 0.00821659 0.214867i
\(611\) 2.06202e26 0.0284368
\(612\) 4.80100e26 + 3.67722e25i 0.0651355 + 0.00498891i
\(613\) 7.41418e27i 0.989598i −0.869008 0.494799i \(-0.835242\pi\)
0.869008 0.494799i \(-0.164758\pi\)
\(614\) −3.18688e25 + 8.33380e26i −0.00418487 + 0.109436i
\(615\) 3.13752e27i 0.405355i
\(616\) −1.99277e27 2.29509e26i −0.253309 0.0291737i
\(617\) 3.50634e27 0.438533 0.219266 0.975665i \(-0.429634\pi\)
0.219266 + 0.975665i \(0.429634\pi\)
\(618\) 1.45299e28 + 5.55629e26i 1.78804 + 0.0683755i
\(619\) −1.01588e27 −0.123009 −0.0615046 0.998107i \(-0.519590\pi\)
−0.0615046 + 0.998107i \(0.519590\pi\)
\(620\) −3.49720e27 2.67860e26i −0.416681 0.0319148i
\(621\) 1.11348e28i 1.30547i
\(622\) −6.30332e27 2.41041e26i −0.727219 0.0278091i
\(623\) 2.22522e27i 0.252634i
\(624\) 1.36665e26 8.86920e26i 0.0152690 0.0990920i
\(625\) 6.82419e27 0.750328
\(626\) −4.78046e26 + 1.25011e28i −0.0517281 + 1.35271i
\(627\) 4.43099e27 0.471874
\(628\) 6.29299e26 8.21616e27i 0.0659570 0.861138i
\(629\) 1.22739e28i 1.26613i
\(630\) 5.23650e24 1.36936e26i 0.000531662 0.0139032i
\(631\) 2.41792e27i 0.241629i −0.992675 0.120814i \(-0.961449\pi\)
0.992675 0.120814i \(-0.0385505\pi\)
\(632\) 1.21451e28 + 1.39876e27i 1.19463 + 0.137586i
\(633\) 9.25237e26 0.0895810
\(634\) −2.62113e27 1.00233e26i −0.249802 0.00955254i
\(635\) −2.83049e27 −0.265537
\(636\) −1.21057e27 + 1.58052e28i −0.111794 + 1.45959i
\(637\) 7.40700e26i 0.0673361i
\(638\) 1.18060e27 + 4.51467e25i 0.105657 + 0.00404035i
\(639\) 1.00141e27i 0.0882273i
\(640\) −3.25448e27 8.92135e26i −0.282281 0.0773804i
\(641\) −3.65490e27 −0.312101 −0.156050 0.987749i \(-0.549876\pi\)
−0.156050 + 0.987749i \(0.549876\pi\)
\(642\) 6.36693e26 1.66497e28i 0.0535278 1.39977i
\(643\) 2.11566e27 0.175120 0.0875601 0.996159i \(-0.472093\pi\)
0.0875601 + 0.996159i \(0.472093\pi\)
\(644\) −9.18694e27 7.03654e26i −0.748708 0.0573456i
\(645\) 4.85660e27i 0.389705i
\(646\) −3.53790e26 + 9.25174e27i −0.0279525 + 0.730968i
\(647\) 1.51438e28i 1.17813i −0.808087 0.589063i \(-0.799497\pi\)
0.808087 0.589063i \(-0.200503\pi\)
\(648\) −1.61199e27 + 1.39965e28i −0.123484 + 1.07219i
\(649\) 5.08777e27 0.383778
\(650\) −1.18298e27 4.52376e25i −0.0878705 0.00336020i
\(651\) −1.11429e28 −0.815056
\(652\) −1.83846e28 1.40813e27i −1.32427 0.101430i
\(653\) 2.62981e27i 0.186549i 0.995640 + 0.0932744i \(0.0297334\pi\)
−0.995640 + 0.0932744i \(0.970267\pi\)
\(654\) −2.20522e28 8.43286e26i −1.54055 0.0589111i
\(655\) 6.28206e26i 0.0432204i
\(656\) 1.93770e28 + 2.98579e27i 1.31295 + 0.202312i
\(657\) −9.10777e26 −0.0607797
\(658\) 9.41325e25 2.46160e27i 0.00618701 0.161793i
\(659\) 2.62364e28 1.69844 0.849219 0.528041i \(-0.177073\pi\)
0.849219 + 0.528041i \(0.177073\pi\)
\(660\) 1.70180e26 2.22188e27i 0.0108510 0.141671i
\(661\) 2.11090e28i 1.32573i 0.748741 + 0.662863i \(0.230659\pi\)
−0.748741 + 0.662863i \(0.769341\pi\)
\(662\) 6.85773e26 1.79332e28i 0.0424229 1.10937i
\(663\) 1.23821e27i 0.0754501i
\(664\) −5.95799e26 + 5.17319e27i −0.0357618 + 0.310511i
\(665\) 2.63497e27 0.155797
\(666\) 2.50575e27 + 9.58210e25i 0.145947 + 0.00558108i
\(667\) 5.42678e27 0.311375
\(668\) −2.21140e27 + 2.88722e28i −0.124998 + 1.63198i
\(669\) 1.77195e28i 0.986713i
\(670\) −7.21653e26 2.75963e25i −0.0395895 0.00151392i
\(671\) 6.32929e27i 0.342082i
\(672\) −1.05255e28 2.03637e27i −0.560467 0.108433i
\(673\) 2.63180e28 1.38071 0.690354 0.723472i \(-0.257455\pi\)
0.690354 + 0.723472i \(0.257455\pi\)
\(674\) 8.30262e26 2.17116e28i 0.0429157 1.12226i
\(675\) 1.70914e28 0.870445
\(676\) −1.96862e28 1.50782e27i −0.987857 0.0756627i
\(677\) 1.07390e28i 0.530977i −0.964114 0.265489i \(-0.914467\pi\)
0.964114 0.265489i \(-0.0855333\pi\)
\(678\) 1.09700e27 2.86868e28i 0.0534451 1.39761i
\(679\) 3.23164e26i 0.0155141i
\(680\) 4.62561e27 + 5.32734e26i 0.218816 + 0.0252012i
\(681\) −1.22230e28 −0.569780
\(682\) −1.44625e28 5.53052e26i −0.664354 0.0254052i
\(683\) −2.85213e28 −1.29111 −0.645553 0.763715i \(-0.723373\pi\)
−0.645553 + 0.763715i \(0.723373\pi\)
\(684\) 1.88601e27 + 1.44454e26i 0.0841360 + 0.00644421i
\(685\) 3.46850e27i 0.152488i
\(686\) 2.14716e28 + 8.21081e26i 0.930299 + 0.0355750i
\(687\) 3.76253e28i 1.60662i
\(688\) 2.99938e28 + 4.62174e27i 1.26226 + 0.194501i
\(689\) −3.25592e27 −0.135046
\(690\) 3.91127e26 1.02281e28i 0.0159892 0.418124i
\(691\) 3.85730e27 0.155419 0.0777093 0.996976i \(-0.475239\pi\)
0.0777093 + 0.996976i \(0.475239\pi\)
\(692\) 1.80029e27 2.35047e28i 0.0714960 0.933456i
\(693\) 5.65466e26i 0.0221347i
\(694\) −6.31455e26 + 1.65128e28i −0.0243639 + 0.637126i
\(695\) 2.03450e27i 0.0773767i
\(696\) 6.27281e27 + 7.22443e26i 0.235163 + 0.0270839i
\(697\) −2.70518e28 −0.999699
\(698\) 2.29785e28 + 8.78706e26i 0.837080 + 0.0320103i
\(699\) −3.99986e28 −1.43639
\(700\) −1.08007e27 + 1.41015e28i −0.0382361 + 0.499212i
\(701\) 4.20975e28i 1.46918i 0.678510 + 0.734592i \(0.262626\pi\)
−0.678510 + 0.734592i \(0.737374\pi\)
\(702\) −2.65919e27 1.01689e26i −0.0914911 0.00349866i
\(703\) 4.82164e28i 1.63547i
\(704\) −1.35601e28 3.16544e27i −0.453458 0.105854i
\(705\) 2.73657e27 0.0902226
\(706\) −2.14108e27 + 5.59901e28i −0.0695964 + 1.81997i
\(707\) −2.31581e28 −0.742178
\(708\) 2.71119e28 + 2.07658e27i 0.856698 + 0.0656169i
\(709\) 5.49936e27i 0.171337i 0.996324 + 0.0856683i \(0.0273025\pi\)
−0.996324 + 0.0856683i \(0.972697\pi\)
\(710\) −3.70037e26 + 9.67660e27i −0.0113674 + 0.297262i
\(711\) 3.44629e27i 0.104389i
\(712\) 1.76734e27 1.53454e28i 0.0527861 0.458330i
\(713\) −6.64788e28 −1.95789
\(714\) 1.47815e28 + 5.65252e26i 0.429277 + 0.0164157i
\(715\) 4.57713e26 0.0131079
\(716\) 3.02088e28 + 2.31378e27i 0.853108 + 0.0653419i
\(717\) 1.09468e28i 0.304858i
\(718\) 7.44673e27 + 2.84766e26i 0.204513 + 0.00782066i
\(719\) 2.67767e28i 0.725218i −0.931941 0.362609i \(-0.881886\pi\)
0.931941 0.362609i \(-0.118114\pi\)
\(720\) 1.44871e26 9.40172e26i 0.00386951 0.0251121i
\(721\) 3.56800e28 0.939879
\(722\) 8.10635e25 2.11984e27i 0.00210598 0.0550720i
\(723\) 5.34890e28 1.37051
\(724\) 2.37029e27 3.09466e28i 0.0598984 0.782037i
\(725\) 8.32985e27i 0.207614i
\(726\) −1.26912e27 + 3.31881e28i −0.0311988 + 0.815860i
\(727\) 2.83458e28i 0.687297i 0.939098 + 0.343648i \(0.111663\pi\)
−0.939098 + 0.343648i \(0.888337\pi\)
\(728\) 2.51944e26 2.18758e27i 0.00602547 0.0523178i
\(729\) 3.81001e28 0.898774
\(730\) −8.80082e27 3.36547e26i −0.204783 0.00783100i
\(731\) −4.18738e28 −0.961101
\(732\) 2.58331e27 3.37278e28i 0.0584878 0.763620i
\(733\) 7.06691e28i 1.57830i −0.614200 0.789150i \(-0.710521\pi\)
0.614200 0.789150i \(-0.289479\pi\)
\(734\) 2.08430e28 + 7.97043e26i 0.459197 + 0.0175599i
\(735\) 9.83006e27i 0.213640i
\(736\) −6.27955e28 1.21490e28i −1.34633 0.260474i
\(737\) −2.98000e27 −0.0630291
\(738\) −2.11191e26 + 5.52271e27i −0.00440667 + 0.115236i
\(739\) 5.87202e28 1.20877 0.604384 0.796693i \(-0.293419\pi\)
0.604384 + 0.796693i \(0.293419\pi\)
\(740\) 2.41776e28 + 1.85183e27i 0.491017 + 0.0376084i
\(741\) 4.86414e27i 0.0974595i
\(742\) −1.48635e27 + 3.88686e28i −0.0293820 + 0.768351i
\(743\) 4.35032e28i 0.848463i 0.905554 + 0.424231i \(0.139456\pi\)
−0.905554 + 0.424231i \(0.860544\pi\)
\(744\) −7.68427e28 8.85001e27i −1.47868 0.170300i
\(745\) 7.52389e27 0.142850
\(746\) −2.44650e28 9.35550e26i −0.458307 0.0175258i
\(747\) −1.46794e27 −0.0271332
\(748\) 1.91571e28 + 1.46730e27i 0.349393 + 0.0267610i
\(749\) 4.08855e28i 0.735785i
\(750\) −3.28703e28 1.25698e27i −0.583703 0.0223210i
\(751\) 5.79180e28i 1.01488i 0.861687 + 0.507439i \(0.169408\pi\)
−0.861687 + 0.507439i \(0.830592\pi\)
\(752\) 2.60423e27 1.69007e28i 0.0450299 0.292232i
\(753\) 3.26145e28 0.556495
\(754\) −4.95600e25 + 1.29601e27i −0.000834483 + 0.0218220i
\(755\) 6.99272e27 0.116192
\(756\) −2.42788e27 + 3.16985e28i −0.0398115 + 0.519782i
\(757\) 1.00773e29i 1.63075i −0.578936 0.815373i \(-0.696532\pi\)
0.578936 0.815373i \(-0.303468\pi\)
\(758\) 2.17077e27 5.67664e28i 0.0346674 0.906566i
\(759\) 4.22360e28i 0.665680i