Properties

Label 43.11.d.a.37.19
Level 43
Weight 11
Character 43.37
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.19
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.18

$q$-expansion

\(f(q)\) \(=\) \(q+0.266107i q^{2} +(-177.112 - 102.255i) q^{3} +1023.93 q^{4} +(-1112.32 - 642.200i) q^{5} +(27.2109 - 47.1306i) q^{6} +(-3824.38 + 2208.01i) q^{7} +544.968i q^{8} +(-8612.15 - 14916.7i) q^{9} +O(q^{10})\) \(q+0.266107i q^{2} +(-177.112 - 102.255i) q^{3} +1023.93 q^{4} +(-1112.32 - 642.200i) q^{5} +(27.2109 - 47.1306i) q^{6} +(-3824.38 + 2208.01i) q^{7} +544.968i q^{8} +(-8612.15 - 14916.7i) q^{9} +(170.894 - 295.997i) q^{10} +14253.7 q^{11} +(-181350. - 104702. i) q^{12} +(3665.36 + 6348.59i) q^{13} +(-587.566 - 1017.69i) q^{14} +(131337. + 227482. i) q^{15} +1.04836e6 q^{16} +(-920395. - 1.59417e6i) q^{17} +(3969.43 - 2291.75i) q^{18} +(1.53898e6 + 888533. i) q^{19} +(-1.13894e6 - 657567. i) q^{20} +903123. q^{21} +3793.01i q^{22} +(-4.35030e6 + 7.53494e6i) q^{23} +(55725.9 - 96520.1i) q^{24} +(-4.05797e6 - 7.02861e6i) q^{25} +(-1689.40 + 975.377i) q^{26} +1.55987e7i q^{27} +(-3.91590e6 + 2.26084e6i) q^{28} +(-2.56868e7 + 1.48303e7i) q^{29} +(-60534.5 + 34949.6i) q^{30} +(-1.70168e7 + 2.94739e7i) q^{31} +837022. i q^{32} +(-2.52450e6 - 1.45752e6i) q^{33} +(424219. - 244923. i) q^{34} +5.67193e6 q^{35} +(-8.81823e6 - 1.52736e7i) q^{36} +(-5.50278e7 - 3.17703e7i) q^{37} +(-236445. + 409534. i) q^{38} -1.49921e6i q^{39} +(349978. - 606180. i) q^{40} +3.59255e7 q^{41} +240327. i q^{42} +(-7.80094e7 + 1.24603e8i) q^{43} +1.45948e7 q^{44} +2.21229e7i q^{45} +(-2.00510e6 - 1.15764e6i) q^{46} -1.70031e8 q^{47} +(-1.85676e8 - 1.07200e8i) q^{48} +(-1.31487e8 + 2.27742e8i) q^{49} +(1.87036e6 - 1.07985e6i) q^{50} +3.76461e8i q^{51} +(3.75307e6 + 6.50050e6i) q^{52} +(-2.99025e8 + 5.17926e8i) q^{53} -4.15092e6 q^{54} +(-1.58547e7 - 9.15374e6i) q^{55} +(-1.20329e6 - 2.08416e6i) q^{56} +(-1.81715e8 - 3.14739e8i) q^{57} +(-3.94644e6 - 6.83543e6i) q^{58} -5.02875e8 q^{59} +(1.34480e8 + 2.32926e8i) q^{60} +(1.11055e9 - 6.41176e8i) q^{61} +(-7.84321e6 - 4.52828e6i) q^{62} +(6.58723e7 + 3.80314e7i) q^{63} +1.07330e9 q^{64} -9.41557e6i q^{65} +(387856. - 671787. i) q^{66} +(8.47364e8 - 1.46768e9i) q^{67} +(-9.42419e8 - 1.63232e9i) q^{68} +(1.54098e9 - 8.89684e8i) q^{69} +1.50934e6i q^{70} +(1.93037e9 - 1.11450e9i) q^{71} +(8.12911e6 - 4.69334e6i) q^{72} +(-1.99850e9 + 1.15383e9i) q^{73} +(8.45430e6 - 1.46433e7i) q^{74} +1.65980e9i q^{75} +(1.57581e9 + 9.09795e8i) q^{76} +(-5.45117e7 + 3.14723e7i) q^{77} +398950. q^{78} +(-3.14722e8 - 5.45115e8i) q^{79} +(-1.16611e9 - 6.73256e8i) q^{80} +(1.08652e9 - 1.88190e9i) q^{81} +9.56003e6i q^{82} +(4.84483e8 - 8.39150e8i) q^{83} +9.24734e8 q^{84} +2.36431e9i q^{85} +(-3.31578e7 - 2.07588e7i) q^{86} +6.06591e9 q^{87} +7.76782e6i q^{88} +(-5.24422e9 - 3.02775e9i) q^{89} -5.88705e6 q^{90} +(-2.80355e7 - 1.61863e7i) q^{91} +(-4.45440e9 + 7.71525e9i) q^{92} +(6.02774e9 - 3.48012e9i) q^{93} -4.52465e7i q^{94} +(-1.14123e9 - 1.97667e9i) q^{95} +(8.55901e7 - 1.48246e8i) q^{96} +9.46864e9 q^{97} +(-6.06037e7 - 3.49896e7i) q^{98} +(-1.22755e8 - 2.12618e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.266107i 0.00831584i 0.999991 + 0.00415792i \(0.00132351\pi\)
−0.999991 + 0.00415792i \(0.998676\pi\)
\(3\) −177.112 102.255i −0.728854 0.420804i 0.0891485 0.996018i \(-0.471585\pi\)
−0.818003 + 0.575214i \(0.804919\pi\)
\(4\) 1023.93 0.999931
\(5\) −1112.32 642.200i −0.355943 0.205504i 0.311356 0.950293i \(-0.399217\pi\)
−0.667300 + 0.744789i \(0.732550\pi\)
\(6\) 27.2109 47.1306i 0.00349934 0.00606103i
\(7\) −3824.38 + 2208.01i −0.227547 + 0.131374i −0.609440 0.792832i \(-0.708606\pi\)
0.381893 + 0.924207i \(0.375272\pi\)
\(8\) 544.968i 0.0166311i
\(9\) −8612.15 14916.7i −0.145848 0.252615i
\(10\) 170.894 295.997i 0.00170894 0.00295997i
\(11\) 14253.7 0.0885044 0.0442522 0.999020i \(-0.485909\pi\)
0.0442522 + 0.999020i \(0.485909\pi\)
\(12\) −181350. 104702.i −0.728804 0.420775i
\(13\) 3665.36 + 6348.59i 0.00987188 + 0.0170986i 0.870919 0.491426i \(-0.163524\pi\)
−0.861047 + 0.508525i \(0.830191\pi\)
\(14\) −587.566 1017.69i −0.00109249 0.00189224i
\(15\) 131337. + 227482.i 0.172954 + 0.299565i
\(16\) 1.04836e6 0.999793
\(17\) −920395. 1.59417e6i −0.648230 1.12277i −0.983545 0.180662i \(-0.942176\pi\)
0.335315 0.942106i \(-0.391157\pi\)
\(18\) 3969.43 2291.75i 0.00210071 0.00121284i
\(19\) 1.53898e6 + 888533.i 0.621536 + 0.358844i 0.777467 0.628924i \(-0.216504\pi\)
−0.155931 + 0.987768i \(0.549838\pi\)
\(20\) −1.13894e6 657567.i −0.355919 0.205490i
\(21\) 903123. 0.221131
\(22\) 3793.01i 0.000735988i
\(23\) −4.35030e6 + 7.53494e6i −0.675896 + 1.17069i 0.300310 + 0.953842i \(0.402910\pi\)
−0.976206 + 0.216845i \(0.930423\pi\)
\(24\) 55725.9 96520.1i 0.00699844 0.0121216i
\(25\) −4.05797e6 7.02861e6i −0.415536 0.719730i
\(26\) −1689.40 + 975.377i −0.000142189 + 8.20929e-5i
\(27\) 1.55987e7i 1.08710i
\(28\) −3.91590e6 + 2.26084e6i −0.227531 + 0.131365i
\(29\) −2.56868e7 + 1.48303e7i −1.25233 + 0.723035i −0.971572 0.236742i \(-0.923920\pi\)
−0.280761 + 0.959778i \(0.590587\pi\)
\(30\) −60534.5 + 34949.6i −0.00249113 + 0.00143826i
\(31\) −1.70168e7 + 2.94739e7i −0.594387 + 1.02951i 0.399247 + 0.916844i \(0.369272\pi\)
−0.993633 + 0.112664i \(0.964062\pi\)
\(32\) 837022.i 0.0249452i
\(33\) −2.52450e6 1.45752e6i −0.0645068 0.0372430i
\(34\) 424219. 244923.i 0.00933676 0.00539058i
\(35\) 5.67193e6 0.107992
\(36\) −8.81823e6 1.52736e7i −0.145837 0.252598i
\(37\) −5.50278e7 3.17703e7i −0.793549 0.458156i 0.0476616 0.998864i \(-0.484823\pi\)
−0.841210 + 0.540708i \(0.818156\pi\)
\(38\) −236445. + 409534.i −0.00298409 + 0.00516859i
\(39\) 1.49921e6i 0.0166165i
\(40\) 349978. 606180.i 0.00341776 0.00591973i
\(41\) 3.59255e7 0.310087 0.155044 0.987908i \(-0.450448\pi\)
0.155044 + 0.987908i \(0.450448\pi\)
\(42\) 240327.i 0.00183889i
\(43\) −7.80094e7 + 1.24603e8i −0.530646 + 0.847594i
\(44\) 1.45948e7 0.0884983
\(45\) 2.21229e7i 0.119889i
\(46\) −2.00510e6 1.15764e6i −0.00973524 0.00562064i
\(47\) −1.70031e8 −0.741378 −0.370689 0.928757i \(-0.620878\pi\)
−0.370689 + 0.928757i \(0.620878\pi\)
\(48\) −1.85676e8 1.07200e8i −0.728703 0.420717i
\(49\) −1.31487e8 + 2.27742e8i −0.465482 + 0.806238i
\(50\) 1.87036e6 1.07985e6i 0.00598516 0.00345553i
\(51\) 3.76461e8i 1.09111i
\(52\) 3.75307e6 + 6.50050e6i 0.00987119 + 0.0170974i
\(53\) −2.99025e8 + 5.17926e8i −0.715036 + 1.23848i 0.247910 + 0.968783i \(0.420256\pi\)
−0.962946 + 0.269695i \(0.913077\pi\)
\(54\) −4.15092e6 −0.00904016
\(55\) −1.58547e7 9.15374e6i −0.0315026 0.0181880i
\(56\) −1.20329e6 2.08416e6i −0.00218490 0.00378436i
\(57\) −1.81715e8 3.14739e8i −0.302006 0.523090i
\(58\) −3.94644e6 6.83543e6i −0.00601264 0.0104142i
\(59\) −5.02875e8 −0.703396 −0.351698 0.936113i \(-0.614396\pi\)
−0.351698 + 0.936113i \(0.614396\pi\)
\(60\) 1.34480e8 + 2.32926e8i 0.172942 + 0.299544i
\(61\) 1.11055e9 6.41176e8i 1.31489 0.759151i 0.331987 0.943284i \(-0.392281\pi\)
0.982901 + 0.184133i \(0.0589476\pi\)
\(62\) −7.84321e6 4.52828e6i −0.00856122 0.00494282i
\(63\) 6.58723e7 + 3.80314e7i 0.0663743 + 0.0383212i
\(64\) 1.07330e9 0.999585
\(65\) 9.41557e6i 0.00811484i
\(66\) 387856. 671787.i 0.000309707 0.000536428i
\(67\) 8.47364e8 1.46768e9i 0.627619 1.08707i −0.360409 0.932794i \(-0.617363\pi\)
0.988028 0.154274i \(-0.0493037\pi\)
\(68\) −9.42419e8 1.63232e9i −0.648186 1.12269i
\(69\) 1.54098e9 8.89684e8i 0.985260 0.568840i
\(70\) 1.50934e6i 0.000898042i
\(71\) 1.93037e9 1.11450e9i 1.06992 0.617716i 0.141758 0.989901i \(-0.454725\pi\)
0.928159 + 0.372185i \(0.121391\pi\)
\(72\) 8.12911e6 4.69334e6i 0.00420127 0.00242560i
\(73\) −1.99850e9 + 1.15383e9i −0.964026 + 0.556581i −0.897410 0.441198i \(-0.854554\pi\)
−0.0666165 + 0.997779i \(0.521220\pi\)
\(74\) 8.45430e6 1.46433e7i 0.00380995 0.00659902i
\(75\) 1.65980e9i 0.699438i
\(76\) 1.57581e9 + 9.09795e8i 0.621493 + 0.358819i
\(77\) −5.45117e7 + 3.14723e7i −0.0201389 + 0.0116272i
\(78\) 398950. 0.000138180
\(79\) −3.14722e8 5.45115e8i −0.102280 0.177155i 0.810343 0.585955i \(-0.199281\pi\)
−0.912624 + 0.408800i \(0.865947\pi\)
\(80\) −1.16611e9 6.73256e8i −0.355870 0.205461i
\(81\) 1.08652e9 1.88190e9i 0.311609 0.539723i
\(82\) 9.56003e6i 0.00257864i
\(83\) 4.84483e8 8.39150e8i 0.122995 0.213034i −0.797952 0.602721i \(-0.794083\pi\)
0.920948 + 0.389687i \(0.127417\pi\)
\(84\) 9.24734e8 0.221116
\(85\) 2.36431e9i 0.532856i
\(86\) −3.31578e7 2.07588e7i −0.00704845 0.00441276i
\(87\) 6.06591e9 1.21703
\(88\) 7.76782e6i 0.00147193i
\(89\) −5.24422e9 3.02775e9i −0.939141 0.542213i −0.0494502 0.998777i \(-0.515747\pi\)
−0.889691 + 0.456563i \(0.849080\pi\)
\(90\) −5.88705e6 −0.000996977
\(91\) −2.80355e7 1.61863e7i −0.00449263 0.00259382i
\(92\) −4.45440e9 + 7.71525e9i −0.675850 + 1.17061i
\(93\) 6.02774e9 3.48012e9i 0.866443 0.500241i
\(94\) 4.52465e7i 0.00616518i
\(95\) −1.14123e9 1.97667e9i −0.147488 0.255456i
\(96\) 8.55901e7 1.48246e8i 0.0104971 0.0181814i
\(97\) 9.46864e9 1.10263 0.551314 0.834298i \(-0.314127\pi\)
0.551314 + 0.834298i \(0.314127\pi\)
\(98\) −6.06037e7 3.49896e7i −0.00670454 0.00387087i
\(99\) −1.22755e8 2.12618e8i −0.0129081 0.0223576i
\(100\) −4.15507e9 7.19680e9i −0.415507 0.719680i
\(101\) −8.47026e8 1.46709e9i −0.0805916 0.139589i 0.822913 0.568168i \(-0.192348\pi\)
−0.903504 + 0.428579i \(0.859014\pi\)
\(102\) −1.00179e8 −0.00907351
\(103\) 5.12615e7 + 8.87875e7i 0.00442186 + 0.00765889i 0.868228 0.496166i \(-0.165259\pi\)
−0.863806 + 0.503825i \(0.831926\pi\)
\(104\) −3.45978e6 + 1.99750e6i −0.000284368 + 0.000164180i
\(105\) −1.00456e9 5.79986e8i −0.0787103 0.0454434i
\(106\) −1.37824e8 7.95725e7i −0.0102990 0.00594612i
\(107\) −2.20448e10 −1.57176 −0.785882 0.618377i \(-0.787790\pi\)
−0.785882 + 0.618377i \(0.787790\pi\)
\(108\) 1.59720e10i 1.08703i
\(109\) −8.30185e9 + 1.43792e10i −0.539563 + 0.934551i 0.459364 + 0.888248i \(0.348077\pi\)
−0.998927 + 0.0463028i \(0.985256\pi\)
\(110\) 2.43587e6 4.21906e6i 0.000151249 0.000261970i
\(111\) 6.49738e9 + 1.12538e10i 0.385588 + 0.667857i
\(112\) −4.00932e9 + 2.31478e9i −0.227500 + 0.131347i
\(113\) 2.41284e10i 1.30959i −0.755806 0.654795i \(-0.772755\pi\)
0.755806 0.654795i \(-0.227245\pi\)
\(114\) 8.37542e7 4.83555e7i 0.00434993 0.00251143i
\(115\) 9.67788e9 5.58753e9i 0.481162 0.277799i
\(116\) −2.63015e10 + 1.51852e10i −1.25225 + 0.722985i
\(117\) 6.31332e7 1.09350e8i 0.00287958 0.00498757i
\(118\) 1.33818e8i 0.00584933i
\(119\) 7.03988e9 + 4.06448e9i 0.295006 + 0.170322i
\(120\) −1.23970e8 + 7.15744e7i −0.00498210 + 0.00287641i
\(121\) −2.57343e10 −0.992167
\(122\) 1.70621e8 + 2.95525e8i 0.00631298 + 0.0109344i
\(123\) −6.36283e9 3.67358e9i −0.226009 0.130486i
\(124\) −1.74240e10 + 3.01792e10i −0.594346 + 1.02944i
\(125\) 2.29671e10i 0.752585i
\(126\) −1.01204e7 + 1.75291e7i −0.000318673 + 0.000551958i
\(127\) 6.39937e9 0.193695 0.0968475 0.995299i \(-0.469124\pi\)
0.0968475 + 0.995299i \(0.469124\pi\)
\(128\) 1.14272e9i 0.0332576i
\(129\) 2.65578e10 1.40918e10i 0.743435 0.394474i
\(130\) 2.50555e6 6.74817e−5
\(131\) 6.41907e9i 0.166386i 0.996533 + 0.0831928i \(0.0265117\pi\)
−0.996533 + 0.0831928i \(0.973488\pi\)
\(132\) −2.58491e9 1.49240e9i −0.0645024 0.0372405i
\(133\) −7.84755e9 −0.188571
\(134\) 3.90559e8 + 2.25489e8i 0.00903988 + 0.00521918i
\(135\) 1.00175e10 1.73508e10i 0.223404 0.386947i
\(136\) 8.68771e8 5.01585e8i 0.0186729 0.0107808i
\(137\) 3.23629e10i 0.670571i −0.942117 0.335286i \(-0.891167\pi\)
0.942117 0.335286i \(-0.108833\pi\)
\(138\) 2.36751e8 + 4.10065e8i 0.00473038 + 0.00819326i
\(139\) −1.20210e10 + 2.08210e10i −0.231668 + 0.401261i −0.958299 0.285767i \(-0.907752\pi\)
0.726631 + 0.687028i \(0.241085\pi\)
\(140\) 5.80766e9 0.107984
\(141\) 3.01145e10 + 1.73866e10i 0.540357 + 0.311975i
\(142\) 2.96577e8 + 5.13686e8i 0.00513683 + 0.00889725i
\(143\) 5.22450e7 + 9.04910e7i 0.000873705 + 0.00151330i
\(144\) −9.02862e9 1.56380e10i −0.145817 0.252563i
\(145\) 3.80960e10 0.594347
\(146\) −3.07043e8 5.31813e8i −0.00462844 0.00801669i
\(147\) 4.65758e10 2.68905e10i 0.678537 0.391753i
\(148\) −5.63446e10 3.25306e10i −0.793494 0.458124i
\(149\) 4.77308e10 + 2.75574e10i 0.649931 + 0.375238i 0.788430 0.615125i \(-0.210894\pi\)
−0.138499 + 0.990363i \(0.544228\pi\)
\(150\) −4.41684e8 −0.00581641
\(151\) 1.09151e11i 1.39041i −0.718813 0.695203i \(-0.755314\pi\)
0.718813 0.695203i \(-0.244686\pi\)
\(152\) −4.84222e8 + 8.38697e8i −0.00596797 + 0.0103368i
\(153\) −1.58532e10 + 2.74585e10i −0.189086 + 0.327506i
\(154\) −8.37500e6 1.45059e7i −9.66899e−5 0.000167472i
\(155\) 3.78563e10 2.18564e10i 0.423136 0.244298i
\(156\) 1.53509e9i 0.0166154i
\(157\) −5.95956e10 + 3.44075e10i −0.624763 + 0.360707i −0.778721 0.627370i \(-0.784131\pi\)
0.153958 + 0.988077i \(0.450798\pi\)
\(158\) 1.45059e8 8.37498e7i 0.00147319 0.000850547i
\(159\) 1.05922e11 6.11538e10i 1.04231 0.601780i
\(160\) 5.37536e8 9.31039e8i 0.00512634 0.00887908i
\(161\) 3.84220e10i 0.355182i
\(162\) 5.00786e8 + 2.89129e8i 0.00448825 + 0.00259129i
\(163\) 7.73469e10 4.46562e10i 0.672210 0.388100i −0.124704 0.992194i \(-0.539798\pi\)
0.796913 + 0.604094i \(0.206465\pi\)
\(164\) 3.67852e10 0.310066
\(165\) 1.87204e9 + 3.24247e9i 0.0153072 + 0.0265128i
\(166\) 2.23303e8 + 1.28924e8i 0.00177156 + 0.00102281i
\(167\) −1.00526e10 + 1.74116e10i −0.0773921 + 0.134047i −0.902124 0.431477i \(-0.857993\pi\)
0.824732 + 0.565524i \(0.191326\pi\)
\(168\) 4.92173e8i 0.00367766i
\(169\) 6.89024e10 1.19342e11i 0.499805 0.865688i
\(170\) −6.29159e8 −0.00443114
\(171\) 3.06087e10i 0.209346i
\(172\) −7.98761e10 + 1.27585e11i −0.530609 + 0.847535i
\(173\) 9.74864e10 0.629091 0.314546 0.949242i \(-0.398148\pi\)
0.314546 + 0.949242i \(0.398148\pi\)
\(174\) 1.61418e9i 0.0101206i
\(175\) 3.10385e10 + 1.79201e10i 0.189108 + 0.109182i
\(176\) 1.49430e10 0.0884860
\(177\) 8.90650e10 + 5.14217e10i 0.512673 + 0.295992i
\(178\) 8.05705e8 1.39552e9i 0.00450896 0.00780975i
\(179\) −7.73211e10 + 4.46414e10i −0.420759 + 0.242925i −0.695402 0.718621i \(-0.744774\pi\)
0.274643 + 0.961546i \(0.411440\pi\)
\(180\) 2.26523e10i 0.119881i
\(181\) 4.37756e10 + 7.58216e10i 0.225341 + 0.390301i 0.956422 0.291989i \(-0.0943172\pi\)
−0.731081 + 0.682291i \(0.760984\pi\)
\(182\) 4.30728e6 7.46043e6i 2.15698e−5 3.73600e-5i
\(183\) −2.62255e11 −1.27782
\(184\) −4.10630e9 2.37077e9i −0.0194698 0.0112409i
\(185\) 4.08058e10 + 7.06777e10i 0.188306 + 0.326155i
\(186\) 9.26083e8 + 1.60402e9i 0.00415992 + 0.00720519i
\(187\) −1.31191e10 2.27229e10i −0.0573713 0.0993699i
\(188\) −1.74100e11 −0.741327
\(189\) −3.44421e10 5.96555e10i −0.142817 0.247367i
\(190\) 5.26006e8 3.03690e8i 0.00212433 0.00122648i
\(191\) 1.29292e11 + 7.46465e10i 0.508632 + 0.293659i 0.732271 0.681013i \(-0.238460\pi\)
−0.223639 + 0.974672i \(0.571794\pi\)
\(192\) −1.90093e11 1.09750e11i −0.728552 0.420630i
\(193\) 1.61486e11 0.603044 0.301522 0.953459i \(-0.402505\pi\)
0.301522 + 0.953459i \(0.402505\pi\)
\(194\) 2.51967e9i 0.00916927i
\(195\) −9.62794e8 + 1.66761e9i −0.00341476 + 0.00591454i
\(196\) −1.34633e11 + 2.33192e11i −0.465449 + 0.806182i
\(197\) −1.73238e11 3.00057e11i −0.583865 1.01128i −0.995016 0.0997164i \(-0.968206\pi\)
0.411151 0.911567i \(-0.365127\pi\)
\(198\) 5.65792e7 3.26660e7i 0.000185922 0.000107342i
\(199\) 4.06486e10i 0.130251i 0.997877 + 0.0651254i \(0.0207448\pi\)
−0.997877 + 0.0651254i \(0.979255\pi\)
\(200\) 3.83037e9 2.21146e9i 0.0119699 0.00691082i
\(201\) −3.00156e11 + 1.73295e11i −0.914886 + 0.528209i
\(202\) 3.90403e8 2.25399e8i 0.00116080 0.000670187i
\(203\) 6.54908e10 1.13433e11i 0.189976 0.329049i
\(204\) 3.85470e11i 1.09104i
\(205\) −3.99608e10 2.30714e10i −0.110374 0.0637242i
\(206\) −2.36270e7 + 1.36410e7i −6.36901e−5 + 3.67715e-5i
\(207\) 1.49862e11 0.394311
\(208\) 3.84261e9 + 6.65560e9i 0.00986983 + 0.0170950i
\(209\) 2.19363e10 + 1.26649e10i 0.0550087 + 0.0317593i
\(210\) 1.54338e8 2.67322e8i 0.000377900 0.000654542i
\(211\) 3.39157e11i 0.810940i −0.914108 0.405470i \(-0.867108\pi\)
0.914108 0.405470i \(-0.132892\pi\)
\(212\) −3.06180e11 + 5.30320e11i −0.714986 + 1.23839i
\(213\) −4.55856e11 −1.03975
\(214\) 5.86627e9i 0.0130705i
\(215\) 1.66792e11 8.85016e10i 0.363064 0.192645i
\(216\) −8.50080e9 −0.0180797
\(217\) 1.50293e11i 0.312348i
\(218\) −3.82641e9 2.20918e9i −0.00777157 0.00448692i
\(219\) 4.71942e11 0.936846
\(220\) −1.62341e10 9.37278e9i −0.0315004 0.0181868i
\(221\) 6.74715e9 1.16864e10i 0.0127985 0.0221677i
\(222\) −2.99471e9 + 1.72900e9i −0.00555379 + 0.00320648i
\(223\) 5.17413e10i 0.0938238i 0.998899 + 0.0469119i \(0.0149380\pi\)
−0.998899 + 0.0469119i \(0.985062\pi\)
\(224\) −1.84815e9 3.20109e9i −0.00327716 0.00567621i
\(225\) −6.98957e10 + 1.21063e11i −0.121210 + 0.209942i
\(226\) 6.42072e9 0.0108903
\(227\) −3.99807e11 2.30828e11i −0.663316 0.382966i 0.130223 0.991485i \(-0.458431\pi\)
−0.793539 + 0.608519i \(0.791764\pi\)
\(228\) −1.86063e11 3.22270e11i −0.301985 0.523054i
\(229\) 5.96679e11 + 1.03348e12i 0.947465 + 1.64106i 0.750739 + 0.660599i \(0.229698\pi\)
0.196727 + 0.980458i \(0.436969\pi\)
\(230\) 1.48688e9 + 2.57535e9i 0.00231013 + 0.00400126i
\(231\) 1.28729e10 0.0195711
\(232\) −8.08203e9 1.39985e10i −0.0120249 0.0208277i
\(233\) −6.49516e11 + 3.74998e11i −0.945824 + 0.546072i −0.891781 0.452467i \(-0.850544\pi\)
−0.0540428 + 0.998539i \(0.517211\pi\)
\(234\) 2.90988e7 + 1.68002e7i 4.14759e−5 + 2.39461e-5i
\(235\) 1.89130e11 + 1.09194e11i 0.263889 + 0.152356i
\(236\) −5.14909e11 −0.703348
\(237\) 1.28728e11i 0.172160i
\(238\) −1.08158e9 + 1.87336e9i −0.00141637 + 0.00245322i
\(239\) 2.82042e11 4.88511e11i 0.361680 0.626448i −0.626558 0.779375i \(-0.715537\pi\)
0.988237 + 0.152927i \(0.0488700\pi\)
\(240\) 1.37688e11 + 2.38483e11i 0.172918 + 0.299503i
\(241\) −3.56101e11 + 2.05595e11i −0.438014 + 0.252888i −0.702755 0.711432i \(-0.748047\pi\)
0.264741 + 0.964320i \(0.414714\pi\)
\(242\) 6.84806e9i 0.00825070i
\(243\) 4.12817e11 2.38340e11i 0.487222 0.281298i
\(244\) 1.13712e12 6.56519e11i 1.31480 0.759099i
\(245\) 2.92512e11 1.68882e11i 0.331370 0.191317i
\(246\) 9.77565e8 1.69319e9i 0.00108510 0.00187945i
\(247\) 1.30272e10i 0.0141699i
\(248\) −1.60623e10 9.27360e9i −0.0171218 0.00988530i
\(249\) −1.71615e11 + 9.90821e10i −0.179291 + 0.103514i
\(250\) −6.11170e9 −0.00625838
\(251\) −7.23749e11 1.25357e12i −0.726472 1.25829i −0.958365 0.285546i \(-0.907825\pi\)
0.231893 0.972741i \(-0.425508\pi\)
\(252\) 6.74486e10 + 3.89414e10i 0.0663697 + 0.0383186i
\(253\) −6.20080e10 + 1.07401e11i −0.0598198 + 0.103611i
\(254\) 1.70292e9i 0.00161074i
\(255\) 2.41764e11 4.18747e11i 0.224228 0.388374i
\(256\) 1.09875e12 0.999309
\(257\) 9.16511e10i 0.0817470i −0.999164 0.0408735i \(-0.986986\pi\)
0.999164 0.0408735i \(-0.0130141\pi\)
\(258\) 3.74993e9 + 7.06720e9i 0.00328038 + 0.00618228i
\(259\) 2.80596e11 0.240759
\(260\) 9.64088e9i 0.00811428i
\(261\) 4.42437e11 + 2.55441e11i 0.365300 + 0.210906i
\(262\) −1.70816e9 −0.00138364
\(263\) −5.28544e11 3.05155e11i −0.420051 0.242517i 0.275048 0.961430i \(-0.411306\pi\)
−0.695099 + 0.718914i \(0.744640\pi\)
\(264\) 7.94302e8 1.37577e9i 0.000619393 0.00107282i
\(265\) 6.65224e11 3.84067e11i 0.509025 0.293886i
\(266\) 2.08829e9i 0.00156813i
\(267\) 6.19208e11 + 1.07250e12i 0.456331 + 0.790389i
\(268\) 8.67641e11 1.50280e12i 0.627576 1.08699i
\(269\) 1.12493e12 0.798662 0.399331 0.916807i \(-0.369242\pi\)
0.399331 + 0.916807i \(0.369242\pi\)
\(270\) 4.61717e9 + 2.66572e9i 0.00321779 + 0.00185779i
\(271\) −4.34374e11 7.52358e11i −0.297179 0.514728i 0.678311 0.734775i \(-0.262712\pi\)
−0.975489 + 0.220047i \(0.929379\pi\)
\(272\) −9.64903e11 1.67126e12i −0.648096 1.12254i
\(273\) 3.31027e9 + 5.73356e9i 0.00218298 + 0.00378104i
\(274\) 8.61199e9 0.00557636
\(275\) −5.78412e10 1.00184e11i −0.0367768 0.0636993i
\(276\) 1.57785e12 9.10973e11i 0.985192 0.568801i
\(277\) −3.10457e11 1.79242e11i −0.190371 0.109911i 0.401785 0.915734i \(-0.368390\pi\)
−0.592156 + 0.805823i \(0.701723\pi\)
\(278\) −5.54060e9 3.19887e9i −0.00333682 0.00192651i
\(279\) 5.86204e11 0.346759
\(280\) 3.09102e9i 0.00179602i
\(281\) −9.47152e11 + 1.64052e12i −0.540615 + 0.936373i 0.458254 + 0.888822i \(0.348475\pi\)
−0.998869 + 0.0475516i \(0.984858\pi\)
\(282\) −4.62670e9 + 8.01368e9i −0.00259433 + 0.00449352i
\(283\) 1.07117e12 + 1.85533e12i 0.590104 + 1.02209i 0.994218 + 0.107381i \(0.0342464\pi\)
−0.404114 + 0.914708i \(0.632420\pi\)
\(284\) 1.97657e12 1.14117e12i 1.06984 0.617674i
\(285\) 4.66789e11i 0.248254i
\(286\) −2.40803e7 + 1.39028e7i −1.25844e−5 + 7.26558e-6i
\(287\) −1.37393e11 + 7.93239e10i −0.0705594 + 0.0407375i
\(288\) 1.24856e10 7.20856e9i 0.00630154 0.00363820i
\(289\) −6.86255e11 + 1.18863e12i −0.340406 + 0.589600i
\(290\) 1.01376e10i 0.00494249i
\(291\) −1.67701e12 9.68220e11i −0.803655 0.463991i
\(292\) −2.04632e12 + 1.18144e12i −0.963960 + 0.556542i
\(293\) −3.57938e12 −1.65756 −0.828781 0.559573i \(-0.810965\pi\)
−0.828781 + 0.559573i \(0.810965\pi\)
\(294\) 7.15575e9 + 1.23941e10i 0.00325776 + 0.00564260i
\(295\) 5.59360e11 + 3.22946e11i 0.250369 + 0.144551i
\(296\) 1.73138e10 2.99884e10i 0.00761963 0.0131976i
\(297\) 2.22340e11i 0.0962133i
\(298\) −7.33320e9 + 1.27015e10i −0.00312042 + 0.00540472i
\(299\) −6.37817e10 −0.0266895
\(300\) 1.69952e12i 0.699389i
\(301\) 2.32125e10 6.48776e11i 0.00939485 0.262581i
\(302\) 2.90457e10 0.0115624
\(303\) 3.46452e11i 0.135653i
\(304\) 1.61341e12 + 9.31501e11i 0.621407 + 0.358769i
\(305\) −1.64705e12 −0.624035
\(306\) −7.30688e9 4.21863e9i −0.00272349 0.00157240i
\(307\) −1.41337e12 + 2.44802e12i −0.518278 + 0.897685i 0.481496 + 0.876448i \(0.340094\pi\)
−0.999774 + 0.0212363i \(0.993240\pi\)
\(308\) −5.58161e10 + 3.22254e10i −0.0201375 + 0.0116264i
\(309\) 2.09671e10i 0.00744295i
\(310\) 5.81613e9 + 1.00738e10i 0.00203154 + 0.00351873i
\(311\) −1.64963e12 + 2.85724e12i −0.567001 + 0.982074i 0.429860 + 0.902896i \(0.358563\pi\)
−0.996860 + 0.0791786i \(0.974770\pi\)
\(312\) 8.17022e8 0.000276351
\(313\) −2.99480e11 1.72905e11i −0.0996888 0.0575554i 0.449327 0.893367i \(-0.351664\pi\)
−0.549016 + 0.835812i \(0.684997\pi\)
\(314\) −9.15607e9 1.58588e10i −0.00299958 0.00519543i
\(315\) −4.88475e10 8.46064e10i −0.0157503 0.0272804i
\(316\) −3.22253e11 5.58159e11i −0.102273 0.177143i
\(317\) −5.34909e12 −1.67103 −0.835513 0.549471i \(-0.814829\pi\)
−0.835513 + 0.549471i \(0.814829\pi\)
\(318\) 1.62734e10 + 2.81864e10i 0.00500431 + 0.00866771i
\(319\) −3.66133e11 + 2.11387e11i −0.110837 + 0.0639918i
\(320\) −1.19385e12 6.89271e11i −0.355796 0.205419i
\(321\) 3.90439e12 + 2.25420e12i 1.14559 + 0.661405i
\(322\) 1.02244e10 0.00295363
\(323\) 3.27120e12i 0.930454i
\(324\) 1.11251e12 1.92693e12i 0.311588 0.539686i
\(325\) 2.97478e10 5.15248e10i 0.00820424 0.0142102i
\(326\) 1.18833e10 + 2.05825e10i 0.00322738 + 0.00558998i
\(327\) 2.94071e12 1.69782e12i 0.786526 0.454101i
\(328\) 1.95783e10i 0.00515709i
\(329\) 6.50265e11 3.75430e11i 0.168698 0.0973980i
\(330\) −8.62843e8 + 4.98162e8i −0.000220476 + 0.000127292i
\(331\) 1.75998e12 1.01612e12i 0.442962 0.255745i −0.261891 0.965097i \(-0.584346\pi\)
0.704853 + 0.709353i \(0.251013\pi\)
\(332\) 4.96077e11 8.59230e11i 0.122987 0.213019i
\(333\) 1.09444e12i 0.267283i
\(334\) −4.63335e9 2.67507e9i −0.00111471 0.000643580i
\(335\) −1.88509e12 + 1.08835e12i −0.446794 + 0.257956i
\(336\) 9.46797e11 0.221086
\(337\) −1.76421e12 3.05569e12i −0.405882 0.703008i 0.588542 0.808467i \(-0.299702\pi\)
−0.994424 + 0.105459i \(0.966369\pi\)
\(338\) 3.17578e10 + 1.83354e10i 0.00719892 + 0.00415630i
\(339\) −2.46726e12 + 4.27341e12i −0.551081 + 0.954501i
\(340\) 2.42089e12i 0.532819i
\(341\) −2.42553e11 + 4.20113e11i −0.0526058 + 0.0911160i
\(342\) 8.14519e9 0.00174089
\(343\) 2.40871e12i 0.507358i
\(344\) −6.79048e10 4.25126e10i −0.0140964 0.00882522i
\(345\) −2.28542e12 −0.467596
\(346\) 2.59418e10i 0.00523142i
\(347\) −5.59016e12 3.22748e12i −1.11116 0.641529i −0.172031 0.985092i \(-0.555033\pi\)
−0.939130 + 0.343563i \(0.888366\pi\)
\(348\) 6.21106e12 1.21694
\(349\) 4.75017e12 + 2.74251e12i 0.917449 + 0.529690i 0.882820 0.469711i \(-0.155642\pi\)
0.0346288 + 0.999400i \(0.488975\pi\)
\(350\) −4.76865e9 + 8.25954e9i −0.000907936 + 0.00157259i
\(351\) −9.90298e10 + 5.71749e10i −0.0185879 + 0.0107317i
\(352\) 1.19307e10i 0.00220776i
\(353\) 1.22810e12 + 2.12714e12i 0.224059 + 0.388081i 0.956037 0.293247i \(-0.0947359\pi\)
−0.731978 + 0.681328i \(0.761403\pi\)
\(354\) −1.36837e10 + 2.37008e10i −0.00246142 + 0.00426331i
\(355\) −2.86293e12 −0.507773
\(356\) −5.36971e12 3.10020e12i −0.939076 0.542176i
\(357\) −8.31230e11 1.43973e12i −0.143344 0.248279i
\(358\) −1.18794e10 2.05757e10i −0.00202013 0.00349896i
\(359\) 2.36064e12 + 4.08875e12i 0.395874 + 0.685675i 0.993212 0.116315i \(-0.0371082\pi\)
−0.597338 + 0.801990i \(0.703775\pi\)
\(360\) −1.20563e10 −0.00199389
\(361\) −1.48655e12 2.57478e12i −0.242462 0.419957i
\(362\) −2.01766e10 + 1.16490e10i −0.00324568 + 0.00187390i
\(363\) 4.55784e12 + 2.63147e12i 0.723145 + 0.417508i
\(364\) −2.87063e10 1.65736e10i −0.00449232 0.00259364i
\(365\) 2.96396e12 0.457518
\(366\) 6.97879e10i 0.0106261i
\(367\) −6.30218e12 + 1.09157e13i −0.946588 + 1.63954i −0.194046 + 0.980992i \(0.562161\pi\)
−0.752541 + 0.658545i \(0.771172\pi\)
\(368\) −4.56067e12 + 7.89932e12i −0.675756 + 1.17044i
\(369\) −3.09396e11 5.35890e11i −0.0452255 0.0783328i
\(370\) −1.88078e10 + 1.08587e10i −0.00271225 + 0.00156592i
\(371\) 2.64100e12i 0.375749i
\(372\) 6.17198e12 3.56339e12i 0.866383 0.500206i
\(373\) 4.98357e12 2.87726e12i 0.690234 0.398507i −0.113466 0.993542i \(-0.536195\pi\)
0.803700 + 0.595035i \(0.202862\pi\)
\(374\) 6.04671e9 3.49107e9i 0.000826344 0.000477090i
\(375\) 2.34851e12 4.06774e12i 0.316691 0.548525i
\(376\) 9.26616e10i 0.0123299i
\(377\) −1.88303e11 1.08717e11i −0.0247258 0.0142754i
\(378\) 1.58747e10 9.16527e9i 0.00205706 0.00118764i
\(379\) 5.62870e12 0.719801 0.359900 0.932991i \(-0.382811\pi\)
0.359900 + 0.932991i \(0.382811\pi\)
\(380\) −1.16854e12 2.02397e12i −0.147478 0.255439i
\(381\) −1.13340e12 6.54370e11i −0.141176 0.0815077i
\(382\) −1.98640e10 + 3.44054e10i −0.00244202 + 0.00422970i
\(383\) 1.49154e13i 1.80984i −0.425577 0.904922i \(-0.639929\pi\)
0.425577 0.904922i \(-0.360071\pi\)
\(384\) 1.16850e11 2.02389e11i 0.0139949 0.0242399i
\(385\) 8.08461e10 0.00955775
\(386\) 4.29726e10i 0.00501482i
\(387\) 2.53050e12 + 9.05385e10i 0.291509 + 0.0104299i
\(388\) 9.69522e12 1.10255
\(389\) 1.52200e13i 1.70870i −0.519698 0.854350i \(-0.673955\pi\)
0.519698 0.854350i \(-0.326045\pi\)
\(390\) −4.43762e8 2.56206e8i −4.91843e−5 2.83966e-5i
\(391\) 1.60160e13 1.75255
\(392\) −1.24112e11 7.16562e10i −0.0134086 0.00774147i
\(393\) 6.56385e11 1.13689e12i 0.0700158 0.121271i
\(394\) 7.98473e10 4.60998e10i 0.00840967 0.00485532i
\(395\) 8.08459e11i 0.0840761i
\(396\) −1.25693e11 2.17706e11i −0.0129073 0.0223560i
\(397\) −1.61006e12 + 2.78871e12i −0.163264 + 0.282781i −0.936037 0.351901i \(-0.885535\pi\)
0.772774 + 0.634682i \(0.218869\pi\)
\(398\) −1.08169e10 −0.00108314
\(399\) 1.38989e12 + 8.02455e11i 0.137441 + 0.0793517i
\(400\) −4.25421e12 7.36850e12i −0.415450 0.719580i
\(401\) 5.98105e12 + 1.03595e13i 0.576840 + 0.999117i 0.995839 + 0.0911300i \(0.0290479\pi\)
−0.418999 + 0.907987i \(0.637619\pi\)
\(402\) −4.61150e10 7.98736e10i −0.00439250 0.00760804i
\(403\) −2.49490e11 −0.0234708
\(404\) −8.67295e11 1.50220e12i −0.0805860 0.139579i
\(405\) −2.41711e12 + 1.39552e12i −0.221831 + 0.128074i
\(406\) 3.01854e10 + 1.74275e10i 0.00273632 + 0.00157981i
\(407\) −7.84351e11 4.52845e11i −0.0702326 0.0405488i
\(408\) −2.05159e11 −0.0181464
\(409\) 2.15762e13i 1.88520i −0.333918 0.942602i \(-0.608371\pi\)
0.333918 0.942602i \(-0.391629\pi\)
\(410\) 6.13945e9 1.06338e10i 0.000529920 0.000917849i
\(411\) −3.30928e12 + 5.73185e12i −0.282179 + 0.488749i
\(412\) 5.24881e10 + 9.09121e10i 0.00442155 + 0.00765836i
\(413\) 1.92319e12 1.11035e12i 0.160056 0.0924082i
\(414\) 3.98792e10i 0.00327903i
\(415\) −1.07780e12 + 6.22271e11i −0.0875587 + 0.0505520i
\(416\) −5.31391e9 + 3.06799e9i −0.000426528 + 0.000246256i
\(417\) 4.25811e12 2.45842e12i 0.337704 0.194974i
\(418\) −3.37022e9 + 5.83739e9i −0.000264105 + 0.000457443i
\(419\) 5.73630e12i 0.444183i 0.975026 + 0.222091i \(0.0712883\pi\)
−0.975026 + 0.222091i \(0.928712\pi\)
\(420\) −1.02860e12 5.93864e11i −0.0787048 0.0454403i
\(421\) −4.54991e11 + 2.62689e11i −0.0344027 + 0.0198624i −0.517103 0.855923i \(-0.672989\pi\)
0.482700 + 0.875786i \(0.339656\pi\)
\(422\) 9.02520e10 0.00674365
\(423\) 1.46434e12 + 2.53630e12i 0.108128 + 0.187283i
\(424\) −2.82253e11 1.62959e11i −0.0205973 0.0118918i
\(425\) −7.46987e12 + 1.29382e13i −0.538726 + 0.933102i
\(426\) 1.21306e11i 0.00864640i
\(427\) −2.83144e12 + 4.90421e12i −0.199466 + 0.345485i
\(428\) −2.25723e13 −1.57165
\(429\) 2.13693e10i 0.00147063i
\(430\) 2.35509e10 + 4.43845e10i 0.00160201 + 0.00301918i
\(431\) −7.59348e12 −0.510569 −0.255285 0.966866i \(-0.582169\pi\)
−0.255285 + 0.966866i \(0.582169\pi\)
\(432\) 1.63530e13i 1.08688i
\(433\) 7.13150e12 + 4.11737e12i 0.468534 + 0.270508i 0.715626 0.698484i \(-0.246142\pi\)
−0.247092 + 0.968992i \(0.579475\pi\)
\(434\) 3.99939e10 0.00259744
\(435\) −6.74725e12 3.89553e12i −0.433192 0.250104i
\(436\) −8.50050e12 + 1.47233e13i −0.539526 + 0.934486i
\(437\) −1.33901e13 + 7.73077e12i −0.840188 + 0.485083i
\(438\) 1.25587e11i 0.00779066i
\(439\) 1.15834e13 + 2.00631e13i 0.710420 + 1.23048i 0.964700 + 0.263352i \(0.0848282\pi\)
−0.254280 + 0.967131i \(0.581839\pi\)
\(440\) 4.98849e9 8.64033e9i 0.000302487 0.000523922i
\(441\) 4.52954e12 0.271557
\(442\) 3.10983e9 + 1.79546e9i 0.000184343 + 0.000106430i
\(443\) −4.52241e12 7.83304e12i −0.265064 0.459104i 0.702516 0.711668i \(-0.252060\pi\)
−0.967580 + 0.252563i \(0.918726\pi\)
\(444\) 6.65285e12 + 1.15231e13i 0.385561 + 0.667811i
\(445\) 3.88885e12 + 6.73568e12i 0.222854 + 0.385995i
\(446\) −1.37687e10 −0.000780224
\(447\) −5.63578e12 9.76146e12i −0.315803 0.546987i
\(448\) −4.10469e12 + 2.36985e12i −0.227453 + 0.131320i
\(449\) −2.79057e13 1.61114e13i −1.52919 0.882878i −0.999396 0.0347523i \(-0.988936\pi\)
−0.529794 0.848126i \(-0.677731\pi\)
\(450\) −3.22157e10 1.85997e10i −0.00174584 0.00100796i
\(451\) 5.12073e11 0.0274441
\(452\) 2.47057e13i 1.30950i
\(453\) −1.11612e13 + 1.93319e13i −0.585089 + 1.01340i
\(454\) 6.14250e10 1.06391e11i 0.00318468 0.00551603i
\(455\) 2.07897e10 + 3.60088e10i 0.00106608 + 0.00184651i
\(456\) 1.71523e11 9.90286e10i 0.00869956 0.00502269i
\(457\) 1.29629e13i 0.650310i 0.945661 + 0.325155i \(0.105416\pi\)
−0.945661 + 0.325155i \(0.894584\pi\)
\(458\) −2.75016e11 + 1.58780e11i −0.0136468 + 0.00787897i
\(459\) 2.48670e13 1.43570e13i 1.22056 0.704692i
\(460\) 9.90946e12 5.72123e12i 0.481128 0.277780i
\(461\) 1.26227e13 2.18632e13i 0.606245 1.05005i −0.385609 0.922662i \(-0.626009\pi\)
0.991853 0.127384i \(-0.0406581\pi\)
\(462\) 3.42556e9i 0.000162750i
\(463\) 1.64221e12 + 9.48128e11i 0.0771832 + 0.0445617i 0.538095 0.842884i \(-0.319144\pi\)
−0.460912 + 0.887446i \(0.652478\pi\)
\(464\) −2.69290e13 + 1.55475e13i −1.25207 + 0.722885i
\(465\) −8.93973e12 −0.411206
\(466\) −9.97896e10 1.72841e11i −0.00454104 0.00786532i
\(467\) 7.88825e12 + 4.55428e12i 0.355137 + 0.205038i 0.666945 0.745107i \(-0.267601\pi\)
−0.311808 + 0.950145i \(0.600935\pi\)
\(468\) 6.46440e10 1.11967e11i 0.00287938 0.00498723i
\(469\) 7.48395e12i 0.329812i
\(470\) −2.90573e10 + 5.03287e10i −0.00126697 + 0.00219445i
\(471\) 1.40734e13 0.607149
\(472\) 2.74051e11i 0.0116983i
\(473\) −1.11192e12 + 1.77606e12i −0.0469645 + 0.0750158i
\(474\) −3.42555e10 −0.00143165
\(475\) 1.44226e13i 0.596451i
\(476\) 7.20834e12 + 4.16174e12i 0.294985 + 0.170310i
\(477\) 1.03010e13 0.417145
\(478\) 1.29996e11 + 7.50533e10i 0.00520944 + 0.00300767i
\(479\) −9.15214e12 + 1.58520e13i −0.362949 + 0.628645i −0.988445 0.151582i \(-0.951563\pi\)
0.625496 + 0.780227i \(0.284897\pi\)
\(480\) −1.90408e11 + 1.09932e11i −0.00747271 + 0.00431437i
\(481\) 4.65799e11i 0.0180914i
\(482\) −5.47103e10 9.47610e10i −0.00210297 0.00364246i
\(483\) −3.92886e12 + 6.80498e12i −0.149462 + 0.258876i
\(484\) −2.63501e13 −0.992098
\(485\) −1.05322e13 6.08076e12i −0.392473 0.226595i
\(486\) 6.34239e10 + 1.09854e11i 0.00233922 + 0.00405166i
\(487\) −2.42319e13 4.19709e13i −0.884591 1.53216i −0.846181 0.532895i \(-0.821104\pi\)
−0.0384103 0.999262i \(-0.512229\pi\)
\(488\) 3.49420e11 + 6.05214e11i 0.0126255 + 0.0218680i
\(489\) −1.82654e13 −0.653257
\(490\) 4.49406e10 + 7.78395e10i 0.00159096 + 0.00275562i
\(491\) 3.82059e13 2.20582e13i 1.33882 0.772969i 0.352189 0.935929i \(-0.385437\pi\)
0.986633 + 0.162960i \(0.0521040\pi\)
\(492\) −6.51509e12 3.76149e12i −0.225993 0.130477i
\(493\) 4.72840e13 + 2.72994e13i 1.62360 + 0.937387i
\(494\) −3.46662e9 −0.000117834
\(495\) 3.15334e11i 0.0106107i
\(496\) −1.78397e13 + 3.08992e13i −0.594263 + 1.02929i
\(497\) −4.92166e12 + 8.52456e12i −0.162304 + 0.281119i
\(498\) −2.63664e10 4.56680e10i −0.000860804 0.00149096i
\(499\) 2.87412e13 1.65937e13i 0.928970 0.536341i 0.0424847 0.999097i \(-0.486473\pi\)
0.886486 + 0.462756i \(0.153139\pi\)
\(500\) 2.35167e13i 0.752533i
\(501\) 3.56087e12 2.05587e12i 0.112815 0.0651338i
\(502\) 3.33583e11 1.92594e11i 0.0104637 0.00604123i
\(503\) 1.00695e13 5.81365e12i 0.312730 0.180555i −0.335417 0.942070i \(-0.608877\pi\)
0.648148 + 0.761515i \(0.275544\pi\)
\(504\) −2.07259e10 + 3.58983e10i −0.000637324 + 0.00110388i
\(505\) 2.17584e12i 0.0662476i
\(506\) −2.85801e10 1.65007e10i −0.000861612 0.000497452i
\(507\) −2.44068e13 + 1.40913e13i −0.728570 + 0.420640i
\(508\) 6.55250e12 0.193682
\(509\) −3.06068e13 5.30125e13i −0.895837 1.55163i −0.832766 0.553625i \(-0.813244\pi\)
−0.0630706 0.998009i \(-0.520089\pi\)
\(510\) 1.11431e11 + 6.43349e10i 0.00322966 + 0.00186464i
\(511\) 5.09534e12 8.82539e12i 0.146241 0.253297i
\(512\) 1.46253e12i 0.0415677i
\(513\) −1.38600e13 + 2.40062e13i −0.390100 + 0.675673i
\(514\) 2.43890e10 0.000679795
\(515\) 1.31681e11i 0.00363484i
\(516\) 2.71933e13 1.44290e13i 0.743383 0.394447i
\(517\) −2.42358e12 −0.0656152
\(518\) 7.46686e10i 0.00200212i
\(519\) −1.72660e13 9.96852e12i −0.458516 0.264724i
\(520\) 5.13119e9 0.000134959
\(521\) 3.17049e13 + 1.83049e13i 0.825921 + 0.476846i 0.852454 0.522802i \(-0.175113\pi\)
−0.0265332 + 0.999648i \(0.508447\pi\)
\(522\) −6.79746e10 + 1.17736e11i −0.00175386 + 0.00303777i
\(523\) 5.32832e13 3.07631e13i 1.36170 0.786179i 0.371852 0.928292i \(-0.378723\pi\)
0.989850 + 0.142113i \(0.0453897\pi\)
\(524\) 6.57268e12i 0.166374i
\(525\) −3.66485e12 6.34770e12i −0.0918881 0.159155i
\(526\) 8.12038e10 1.40649e11i 0.00201673 0.00349308i
\(527\) 6.26486e13 1.54120
\(528\) −2.64658e12 1.52800e12i −0.0644934 0.0372353i
\(529\) −1.71370e13 2.96821e13i −0.413672 0.716501i
\(530\) 1.02203e11 + 1.77021e11i 0.00244390 + 0.00423297i
\(531\) 4.33084e12 + 7.50123e12i 0.102589 + 0.177689i
\(532\) −8.03534e12 −0.188558
\(533\) 1.31680e11 + 2.28076e11i 0.00306114 + 0.00530206i
\(534\) −2.85400e11 + 1.64776e11i −0.00657275 + 0.00379478i
\(535\) 2.45209e13 + 1.41572e13i 0.559459 + 0.323004i
\(536\) 7.99837e11 + 4.61786e11i 0.0180791 + 0.0104380i
\(537\) 1.82593e13 0.408896
\(538\) 2.99351e11i 0.00664154i
\(539\) −1.87418e12 + 3.24617e12i −0.0411972 + 0.0713556i
\(540\) 1.02572e13 1.77660e13i 0.223388 0.386920i
\(541\) 1.95588e13 + 3.38768e13i 0.422042 + 0.730998i 0.996139 0.0877892i \(-0.0279802\pi\)
−0.574097 + 0.818787i \(0.694647\pi\)
\(542\) 2.00208e11 1.15590e11i 0.00428040 0.00247129i
\(543\) 1.79052e13i 0.379297i
\(544\) 1.33436e12 7.70391e11i 0.0280077 0.0161702i
\(545\) 1.84687e13 1.06629e13i 0.384108 0.221765i
\(546\) −1.52574e9 + 8.80885e8i −3.14425e−5 + 1.81533e-5i
\(547\) 2.67111e13 4.62650e13i 0.545450 0.944748i −0.453128 0.891445i \(-0.649692\pi\)
0.998578 0.0533024i \(-0.0169747\pi\)
\(548\) 3.31373e13i 0.670525i
\(549\) −1.91284e13 1.10438e13i −0.383546 0.221441i
\(550\) 2.66596e10 1.53919e10i 0.000529713 0.000305830i
\(551\) −5.27088e13 −1.03783
\(552\) 4.84849e11 + 8.39783e11i 0.00946044 + 0.0163860i
\(553\) 2.40724e12 + 1.38982e12i 0.0465472 + 0.0268740i
\(554\) 4.76975e10 8.26146e10i 0.000914002 0.00158310i
\(555\) 1.66905e13i 0.316959i
\(556\) −1.23086e13 + 2.13192e13i −0.231652 + 0.401233i
\(557\) −3.33861e13 −0.622715 −0.311358 0.950293i \(-0.600784\pi\)
−0.311358 + 0.950293i \(0.600784\pi\)
\(558\) 1.55993e11i 0.00288359i
\(559\) −1.07699e12 3.85335e10i −0.0197311 0.000705959i
\(560\) 5.94622e12 0.107969
\(561\) 5.36598e12i 0.0965683i
\(562\) −4.36552e11 2.52044e11i −0.00778673 0.00449567i
\(563\) 7.65278e13 1.35294 0.676468 0.736472i \(-0.263510\pi\)
0.676468 + 0.736472i \(0.263510\pi\)
\(564\) 3.08351e13 + 1.78027e13i 0.540319 + 0.311953i
\(565\) −1.54952e13 + 2.68385e13i −0.269126 + 0.466140i
\(566\) −4.93716e11 + 2.85047e11i −0.00849953 + 0.00490720i
\(567\) 9.59614e12i 0.163750i
\(568\) 6.07368e11 + 1.05199e12i 0.0102733 + 0.0177939i
\(569\) −4.63572e13 + 8.02931e13i −0.777242 + 1.34622i 0.156284 + 0.987712i \(0.450048\pi\)
−0.933526 + 0.358510i \(0.883285\pi\)
\(570\) −1.24216e11 −0.00206444
\(571\) −1.04652e14 6.04207e13i −1.72411 0.995418i −0.909866 0.414902i \(-0.863816\pi\)
−0.814249 0.580516i \(-0.802851\pi\)
\(572\) 5.34952e10 + 9.26564e10i 0.000873644 + 0.00151320i
\(573\) −1.52660e13 2.64415e13i −0.247146 0.428069i
\(574\) −2.11086e10 3.65612e10i −0.000338766 0.000586761i
\(575\) 7.06136e13 1.12344
\(576\) −9.24339e12 1.60100e13i −0.145787 0.252510i
\(577\) −5.28763e13 + 3.05282e13i −0.826765 + 0.477333i −0.852744 0.522329i \(-0.825063\pi\)
0.0259785 + 0.999663i \(0.491730\pi\)
\(578\) −3.16302e11 1.82617e11i −0.00490301 0.00283076i
\(579\) −2.86011e13 1.65129e13i −0.439532 0.253764i
\(580\) 3.90076e13 0.594305
\(581\) 4.27897e12i 0.0646337i
\(582\) 2.57650e11 4.46263e11i 0.00385847 0.00668307i
\(583\) −4.26222e12 + 7.38238e12i −0.0632838 + 0.109611i
\(584\) −6.28801e11 1.08912e12i −0.00925655 0.0160328i
\(585\) −1.40449e11 + 8.10883e10i −0.00204993 + 0.00118353i
\(586\) 9.52497e11i 0.0137840i
\(587\) 1.37666e13 7.94817e12i 0.197532 0.114045i −0.397972 0.917398i \(-0.630286\pi\)
0.595504 + 0.803353i \(0.296952\pi\)
\(588\) 4.76903e13 2.75340e13i 0.678490 0.391726i
\(589\) −5.23771e13 + 3.02399e13i −0.738865 + 0.426584i
\(590\) −8.59382e10 + 1.48849e11i −0.00120206 + 0.00208203i
\(591\) 7.08582e13i 0.982771i
\(592\) −5.76889e13 3.33067e13i −0.793384 0.458061i
\(593\) −6.72396e13 + 3.88208e13i −0.916963 + 0.529409i −0.882665 0.470003i \(-0.844253\pi\)
−0.0342978 + 0.999412i \(0.510919\pi\)
\(594\) −5.91661e10 −0.000800094
\(595\) −5.22041e12 9.04202e12i −0.0700036 0.121250i
\(596\) 4.88729e13 + 2.82168e13i 0.649886 + 0.375212i
\(597\) 4.15654e12 7.19935e12i 0.0548101 0.0949339i
\(598\) 1.69727e10i 0.000221945i
\(599\) −7.66134e12 + 1.32698e13i −0.0993506 + 0.172080i −0.911416 0.411486i \(-0.865010\pi\)
0.812065 + 0.583566i \(0.198343\pi\)
\(600\) −9.04537e11 −0.0116324
\(601\) 6.99972e13i 0.892706i 0.894857 + 0.446353i \(0.147277\pi\)
−0.894857 + 0.446353i \(0.852723\pi\)
\(602\) 1.72644e11 + 6.17701e9i 0.00218358 + 7.81261e-5i
\(603\) −2.91905e13 −0.366147
\(604\) 1.11763e14i 1.39031i
\(605\) 2.86248e13 + 1.65265e13i 0.353155 + 0.203894i
\(606\) −9.21932e10 −0.00112807
\(607\) 3.09820e13 + 1.78875e13i 0.375981 + 0.217073i 0.676068 0.736839i \(-0.263682\pi\)
−0.300087 + 0.953912i \(0.597016\pi\)
\(608\) −7.43722e11 + 1.28816e12i −0.00895144 + 0.0155043i
\(609\) −2.31983e13 + 1.33936e13i −0.276930 + 0.159886i
\(610\) 4.38292e11i 0.00518937i
\(611\) −6.23226e11 1.07946e12i −0.00731879 0.0126765i
\(612\) −1.62325e13 + 2.81155e13i −0.189073 + 0.327483i
\(613\) −1.42063e14 −1.64126 −0.820632 0.571458i \(-0.806378\pi\)
−0.820632 + 0.571458i \(0.806378\pi\)
\(614\) −6.51436e11 3.76107e11i −0.00746500 0.00430992i
\(615\) 4.71835e12 + 8.17242e12i 0.0536308 + 0.0928913i
\(616\) −1.71514e10 2.97071e10i −0.000193373 0.000334932i
\(617\) 6.85456e13 + 1.18724e14i 0.766573 + 1.32774i 0.939411 + 0.342794i \(0.111373\pi\)
−0.172837 + 0.984950i \(0.555293\pi\)
\(618\) 5.57948e9 6.18944e−5
\(619\) 2.02094e13 + 3.50036e13i 0.222382 + 0.385176i 0.955531 0.294892i \(-0.0952835\pi\)
−0.733149 + 0.680068i \(0.761950\pi\)
\(620\) 3.87622e13 2.23794e13i 0.423107 0.244281i
\(621\) −1.17535e14 6.78591e13i −1.27266 0.734768i
\(622\) −7.60330e11 4.38977e11i −0.00816677 0.00471509i
\(623\) 2.67412e13 0.284932
\(624\) 1.57171e12i 0.0166131i
\(625\) −2.48792e13 + 4.30920e13i −0.260877 + 0.451852i
\(626\) 4.60112e10 7.96937e10i 0.000478621 0.000828996i
\(627\) −2.59011e12 4.48620e12i −0.0267289 0.0462958i
\(628\) −6.10216e13 + 3.52309e13i −0.624720 + 0.360682i
\(629\) 1.16965e14i 1.18796i
\(630\) 2.25143e10 1.29987e10i 0.000226859 0.000130977i
\(631\) 4.06404e13 2.34638e13i 0.406267 0.234558i −0.282918 0.959144i \(-0.591302\pi\)
0.689185 + 0.724586i \(0.257969\pi\)
\(632\) 2.97070e11 1.71514e11i 0.00294628 0.00170103i
\(633\) −3.46807e13 + 6.00687e13i −0.341247 + 0.591057i
\(634\) 1.42343e12i 0.0138960i
\(635\) −7.11817e12 4.10968e12i −0.0689445 0.0398051i
\(636\) 1.08456e14 6.26172e13i 1.04224 0.601739i
\(637\) −1.92779e12 −0.0183807
\(638\) −5.62514e10 9.74304e10i −0.000532145 0.000921703i
\(639\) −3.32493e13 1.91965e13i −0.312089 0.180185i
\(640\) 7.33856e11 1.27108e12i 0.00683457 0.0118378i
\(641\) 8.75420e13i 0.808959i −0.914547 0.404479i \(-0.867453\pi\)
0.914547 0.404479i \(-0.132547\pi\)
\(642\) −5.99858e11 + 1.03898e12i −0.00550013 + 0.00952651i
\(643\) −1.16643e14 −1.06122 −0.530608 0.847617i \(-0.678037\pi\)
−0.530608 + 0.847617i \(0.678037\pi\)
\(644\) 3.93414e13i 0.355157i
\(645\) −3.85906e13 1.38073e12i −0.345687 0.0123683i
\(646\) 8.70490e11 0.00773751
\(647\) 2.48373e13i 0.219070i 0.993983 + 0.109535i \(0.0349361\pi\)
−0.993983 + 0.109535i \(0.965064\pi\)
\(648\) 1.02557e12 + 5.92116e11i 0.00897619 + 0.00518241i
\(649\) −7.16784e12 −0.0622537
\(650\) 1.37111e10 + 7.91610e9i 0.000118169 + 6.82252e-5i
\(651\) −1.53683e13 + 2.66186e13i −0.131438 + 0.227657i
\(652\) 7.91977e13 4.57248e13i 0.672163 0.388074i
\(653\) 2.25493e13i 0.189918i 0.995481 + 0.0949590i \(0.0302720\pi\)
−0.995481 + 0.0949590i \(0.969728\pi\)
\(654\) 4.51801e11 + 7.82542e11i 0.00377623 + 0.00654062i
\(655\) 4.12233e12 7.14009e12i 0.0341929 0.0592239i
\(656\) 3.76629e13 0.310023
\(657\) 3.44227e13 + 1.98739e13i 0.281202 + 0.162352i
\(658\) 9.99046e10 + 1.73040e11i 0.000809946 + 0.00140287i
\(659\) 1.86362e13 + 3.22788e13i 0.149944 + 0.259711i 0.931207 0.364492i \(-0.118757\pi\)
−0.781262 + 0.624203i \(0.785424\pi\)
\(660\) 1.91684e12 + 3.32006e12i 0.0153061 + 0.0265110i
\(661\) 1.15783e14 0.917566 0.458783 0.888548i \(-0.348286\pi\)
0.458783 + 0.888548i \(0.348286\pi\)
\(662\) 2.70397e11 + 4.68342e11i 0.00212673 + 0.00368360i
\(663\) −2.39000e12 + 1.37987e12i −0.0186565 + 0.0107713i
\(664\) 4.57310e11 + 2.64028e11i 0.00354299 + 0.00204555i
\(665\) 8.72901e12 + 5.03970e12i 0.0671208 + 0.0387522i
\(666\) −2.91239e11 −0.00222269
\(667\) 2.58065e14i 1.95479i
\(668\) −1.02932e13 + 1.78283e13i −0.0773867 + 0.134038i
\(669\) 5.29083e12 9.16399e12i 0.0394815 0.0683839i
\(670\) −2.89619e11 5.01634e11i −0.00214512 0.00371546i
\(671\) 1.58295e13 9.13915e12i 0.116373 0.0671882i
\(672\) 7.55934e11i 0.00551617i
\(673\) −1.24605e14 + 7.19405e13i −0.902524 + 0.521073i −0.878018 0.478627i \(-0.841135\pi\)
−0.0245060 + 0.999700i \(0.507801\pi\)
\(674\) 8.13141e11 4.69467e11i 0.00584610 0.00337525i
\(675\) 1.09637e14 6.32991e13i 0.782419 0.451730i
\(676\) 7.05512e13 1.22198e14i 0.499771 0.865628i
\(677\) 1.37026e14i 0.963517i −0.876304 0.481759i \(-0.839998\pi\)
0.876304 0.481759i \(-0.160002\pi\)
\(678\) −1.13718e12 6.56554e11i −0.00793747 0.00458270i
\(679\) −3.62117e13 + 2.09068e13i −0.250900 + 0.144857i
\(680\) −1.28847e12 −0.00886198
\(681\) 4.72069e13 + 8.17648e13i 0.322307 + 0.558253i
\(682\) −1.11795e11 6.45449e10i −0.000757706 0.000437462i
\(683\) 8.52053e13 1.47580e14i 0.573275 0.992941i −0.422952 0.906152i \(-0.639006\pi\)
0.996227 0.0867890i \(-0.0276606\pi\)
\(684\) 3.13412e13i 0.209331i
\(685\) −2.07835e13 + 3.59980e13i −0.137805 + 0.238685i
\(686\) 6.40975e11 0.00421910
\(687\) 2.44055e14i 1.59479i
\(688\) −8.17818e13 + 1.30629e14i −0.530536 + 0.847418i
\(689\) −4.38413e12 −0.0282350
\(690\) 6.08166e11i 0.00388845i
\(691\) 2.55661e14 + 1.47606e14i 1.62283 + 0.936944i 0.986157 + 0.165813i \(0.0530247\pi\)
0.636677 + 0.771131i \(0.280309\pi\)
\(692\) 9.98192e13 0.629048
\(693\) 9.38925e11 + 5.42089e11i 0.00587442 + 0.00339160i
\(694\) 8.58854e11 1.48758e12i 0.00533485 0.00924023i
\(695\) 2.67424e13 1.54398e13i 0.164921 0.0952174i
\(696\) 3.30572e12i 0.0202405i
\(697\) −3.30657e13 5.72714e13i −0.201008 0.348156i
\(698\) −7.29801e11 + 1.26405e12i −0.00440481 + 0.00762936i
\(699\) 1.53382e14 0.919157
\(700\) 3.17812e13 + 1.83489e13i 0.189095 + 0.109174i
\(701\) 1.34216e14 + 2.32470e14i 0.792894 + 1.37333i 0.924168 + 0.381987i \(0.124760\pi\)
−0.131273 + 0.991346i \(0.541907\pi\)
\(702\) −1.52146e10 2.63525e10i −8.92433e−5 0.000154574i
\(703\) −5.64580e13 9.77881e13i −0.328813 0.569520i
\(704\) 1.52985e13 0.0884677
\(705\) −2.23314e13 3.86791e13i −0.128224 0.222091i
\(706\) −5.66046e11 + 3.26807e11i −0.00322722 + 0.00186324i
\(707\) 6.47870e12 + 3.74048e12i 0.0366767 + 0.0211753i
\(708\) 9.11963e13 + 5.26522e13i 0.512638 + 0.295972i
\(709\) −1.29518e14 −0.722936 −0.361468 0.932385i \(-0.617724\pi\)
−0.361468 + 0.932385i \(0.617724\pi\)
\(710\) 7.61846e11i 0.00422256i
\(711\) −5.42087e12 + 9.38923e12i −0.0298347 + 0.0516752i
\(712\) 1.65003e12 2.85793e12i 0.00901761 0.0156190i
\(713\) −1.48056e14 2.56441e14i −0.803487 1.39168i
\(714\) 3.83122e11 2.21196e11i 0.00206465 0.00119203i
\(715\) 1.34207e11i 0.000718199i
\(716\) −7.91714e13 + 4.57096e13i −0.420729 + 0.242908i
\(717\) −9.99058e13 + 5.76807e13i −0.527224 + 0.304393i
\(718\) −1.08804e12 + 6.28182e11i −0.00570196 + 0.00329203i
\(719\) 3.35031e13 5.80291e13i 0.174358 0.301996i −0.765581 0.643339i \(-0.777548\pi\)
0.939939 + 0.341343i \(0.110882\pi\)
\(720\) 2.31927e13i 0.119864i
\(721\) −3.92087e11 2.26372e11i −0.00201236 0.00116184i
\(722\) 6.85167e11 3.95581e11i 0.00349229 0.00201628i
\(723\) 8.40929e13 0.425665
\(724\) 4.48231e13 + 7.76359e13i 0.225325 + 0.390274i
\(725\) 2.08473e14 + 1.20362e14i 1.04078 + 0.600895i
\(726\) −7.00251e11 + 1.21287e12i −0.00347193 + 0.00601356i
\(727\) 3.53852e14i 1.74241i 0.490923 + 0.871203i \(0.336660\pi\)
−0.490923 + 0.871203i \(0.663340\pi\)
\(728\) 8.82100e9 1.52784e10i 4.31381e−5 7.47174e-5i
\(729\) −2.25802e14 −1.09670
\(730\) 7.88731e11i 0.00380465i
\(731\) 2.70439e14 + 9.67600e12i 1.29563 + 0.0463563i
\(732\) −2.68531e14 −1.27773
\(733\) 3.09036e14i 1.46046i −0.683201 0.730230i \(-0.739413\pi\)
0.683201 0.730230i \(-0.260587\pi\)
\(734\) −2.90474e12 1.67705e12i −0.0136341 0.00787167i
\(735\) −6.90764e13 −0.322028
\(736\) −6.30691e12 3.64130e12i −0.0292030 0.0168604i
\(737\) 1.20781e13 2.09199e13i 0.0555470 0.0962103i
\(738\) 1.42604e11 8.23324e10i 0.000651403 0.000376088i
\(739\) 1.86144e14i 0.844553i −0.906467 0.422276i \(-0.861231\pi\)
0.906467 0.422276i \(-0.138769\pi\)
\(740\) 4.17823e13 + 7.23690e13i 0.188293 + 0.326132i
\(741\) 1.33210e12 2.30726e12i 0.00596273 0.0103278i
\(742\) 7.02787e11 0.00312467
\(743\) 7.84188e13 + 4.52751e13i 0.346319 + 0.199947i 0.663063 0.748564i \(-0.269256\pi\)
−0.316744 + 0.948511i \(0.602590\pi\)
\(744\) 1.89655e12 + 3.28492e12i 0.00831955 + 0.0144099i
\(745\) −3.53947e13 6.13054e13i −0.154226 0.267127i
\(746\) 7.65659e11 + 1.32616e12i 0.00331392 + 0.00573987i
\(747\) −1.66898e13 −0.0717542
\(748\) −1.34330e13 2.32666e13i −0.0573673 0.0993631i
\(749\) 8.43077e13 4.86751e13i 0.357650 0.206489i
\(750\) 1.08245e12 + 6.24954e11i 0.00456145 + 0.00263355i
\(751\) −1.80652e14 1.04299e14i −0.756209 0.436598i 0.0717238 0.997425i \(-0.477150\pi\)
−0.827933 + 0.560827i \(0.810483\pi\)
\(752\) −1.78254e14 −0.741224
\(753\) 2.96029e14i 1.22281i
\(754\) 2.89302e10 5.01086e10i 0.000118712 0.000205615i
\(755\) −7.00966e13 + 1.21411e14i −0.285734 + 0.494906i
\(756\) −3.52663e13 6.10830e13i −0.142807 0.247350i
\(757\) −2.23889e14 + 1.29262e14i −0.900644 + 0.519987i −0.877409 0.479743i \(-0.840730\pi\)
−0.0232347 + 0.999730i \(0.507396\pi\)
\(758\) 1.49784e12i 0.00598575i
\(759\) 2.19647e13 1.26813e13i 0.0871999 0.0503449i
\(760\) 1.07722e12 6.21935e11i 0.004248