Properties

Label 17.10.d.a.8.1
Level $17$
Weight $10$
Character 17.8
Analytic conductor $8.756$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 17 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 17.d (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.75560921479\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 8.1
Character \(\chi\) \(=\) 17.8
Dual form 17.10.d.a.15.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-29.9491 + 29.9491i) q^{2} +(97.1714 - 234.592i) q^{3} -1281.90i q^{4} +(-584.865 - 242.259i) q^{5} +(4115.64 + 9936.04i) q^{6} +(-4412.09 + 1827.55i) q^{7} +(23057.9 + 23057.9i) q^{8} +(-31673.4 - 31673.4i) q^{9} +O(q^{10})\) \(q+(-29.9491 + 29.9491i) q^{2} +(97.1714 - 234.592i) q^{3} -1281.90i q^{4} +(-584.865 - 242.259i) q^{5} +(4115.64 + 9936.04i) q^{6} +(-4412.09 + 1827.55i) q^{7} +(23057.9 + 23057.9i) q^{8} +(-31673.4 - 31673.4i) q^{9} +(24771.7 - 10260.8i) q^{10} +(9130.06 + 22041.9i) q^{11} +(-300725. - 124564. i) q^{12} +126359. i q^{13} +(77404.8 - 186872. i) q^{14} +(-113664. + 113664. i) q^{15} -724796. q^{16} +(41544.2 - 341851. i) q^{17} +1.89718e6 q^{18} +(-600409. + 600409. i) q^{19} +(-310553. + 749740. i) q^{20} +1.21263e6i q^{21} +(-933574. - 386699. i) q^{22} +(304305. + 734657. i) q^{23} +(7.64979e6 - 3.16865e6i) q^{24} +(-1.09769e6 - 1.09769e6i) q^{25} +(-3.78435e6 - 3.78435e6i) q^{26} +(-5.89060e6 + 2.43997e6i) q^{27} +(2.34274e6 + 5.65587e6i) q^{28} +(-798702. - 330833. i) q^{29} -6.80830e6i q^{30} +(-194889. + 470504. i) q^{31} +(9.90137e6 - 9.90137e6i) q^{32} +6.05805e6 q^{33} +(8.99392e6 + 1.14824e7i) q^{34} +3.02322e6 q^{35} +(-4.06022e7 + 4.06022e7i) q^{36} +(-3.60357e6 + 8.69979e6i) q^{37} -3.59635e7i q^{38} +(2.96429e7 + 1.22785e7i) q^{39} +(-7.89979e6 - 1.90718e7i) q^{40} +(1.99946e6 - 828205. i) q^{41} +(-3.63172e7 - 3.63172e7i) q^{42} +(-9.48745e6 - 9.48745e6i) q^{43} +(2.82556e7 - 1.17038e7i) q^{44} +(1.08515e7 + 2.61978e7i) q^{45} +(-3.11160e7 - 1.28887e7i) q^{46} -3.55358e7i q^{47} +(-7.04294e7 + 1.70032e8i) q^{48} +(-1.24077e7 + 1.24077e7i) q^{49} +6.57498e7 q^{50} +(-7.61587e7 - 4.29641e7i) q^{51} +1.61980e8 q^{52} +(-2.03225e7 + 2.03225e7i) q^{53} +(1.03343e8 - 2.49493e8i) q^{54} -1.51034e7i q^{55} +(-1.43873e8 - 5.95942e7i) q^{56} +(8.25088e7 + 1.99194e8i) q^{57} +(3.38286e7 - 1.40123e7i) q^{58} +(-5.63717e7 - 5.63717e7i) q^{59} +(1.45707e8 + 1.45707e8i) q^{60} +(6.43536e7 - 2.66562e7i) q^{61} +(-8.25443e6 - 1.99280e7i) q^{62} +(1.97630e8 + 8.18612e7i) q^{63} +2.21979e8i q^{64} +(3.06117e7 - 7.39032e7i) q^{65} +(-1.81433e8 + 1.81433e8i) q^{66} -1.51200e8 q^{67} +(-4.38219e8 - 5.32556e7i) q^{68} +2.01915e8 q^{69} +(-9.05428e7 + 9.05428e7i) q^{70} +(-3.46926e7 + 8.37552e7i) q^{71} -1.46064e9i q^{72} +(-6.87867e7 - 2.84924e7i) q^{73} +(-1.52627e8 - 3.68475e8i) q^{74} +(-3.64174e8 + 1.50846e8i) q^{75} +(7.69665e8 + 7.69665e8i) q^{76} +(-8.05653e7 - 8.05653e7i) q^{77} +(-1.25551e9 + 5.20050e8i) q^{78} +(-1.22216e8 - 2.95055e8i) q^{79} +(4.23908e8 + 1.75588e8i) q^{80} +7.37326e8i q^{81} +(-3.50782e7 + 8.46863e7i) q^{82} +(4.89686e8 - 4.89686e8i) q^{83} +1.55447e9 q^{84} +(-1.07114e8 + 1.89872e8i) q^{85} +5.68282e8 q^{86} +(-1.55222e8 + 1.55222e8i) q^{87} +(-2.97721e8 + 7.18761e8i) q^{88} +6.16283e8i q^{89} +(-1.10959e9 - 4.59609e8i) q^{90} +(-2.30928e8 - 5.57509e8i) q^{91} +(9.41758e8 - 3.90089e8i) q^{92} +(9.14391e7 + 9.14391e7i) q^{93} +(1.06427e9 + 1.06427e9i) q^{94} +(4.96613e8 - 2.05704e8i) q^{95} +(-1.36066e9 - 3.28492e9i) q^{96} +(-6.65193e8 - 2.75532e8i) q^{97} -7.43201e8i q^{98} +(4.08962e8 - 9.87322e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9} - 117636 q^{10} - 115768 q^{11} - 145528 q^{12} + 463660 q^{14} + 288244 q^{15} - 3407880 q^{16} - 271932 q^{17} + 2193336 q^{18} - 406700 q^{19} + 493564 q^{20} + 800964 q^{22} - 4172180 q^{23} + 15078440 q^{24} + 11946576 q^{25} - 14209012 q^{26} - 7973656 q^{27} + 13540804 q^{28} + 7833752 q^{29} + 5936252 q^{31} - 26730116 q^{32} - 1635208 q^{33} - 53493988 q^{34} + 46992776 q^{35} - 12761764 q^{36} + 74606796 q^{37} + 74096776 q^{39} - 69317672 q^{40} - 71362288 q^{41} - 308117664 q^{42} - 3765712 q^{43} + 163659820 q^{44} + 14167408 q^{45} + 72135428 q^{46} + 164621412 q^{48} - 284548508 q^{49} + 226223888 q^{50} - 406733132 q^{51} + 103553016 q^{52} - 244724728 q^{53} + 971226260 q^{54} + 470691652 q^{56} - 440646580 q^{57} - 308561768 q^{58} - 481734984 q^{59} + 379626176 q^{60} + 507966228 q^{61} + 358867236 q^{62} + 1070586456 q^{63} + 366263684 q^{65} - 2244715148 q^{66} - 311910088 q^{67} - 1839196668 q^{68} + 533688136 q^{69} + 34867672 q^{70} + 186006812 q^{71} + 487115192 q^{73} - 214149412 q^{74} + 533015920 q^{75} + 1104236912 q^{76} - 237869092 q^{77} - 2081523384 q^{78} - 136338052 q^{79} - 922534152 q^{80} + 1951892384 q^{82} + 1843663888 q^{83} - 2630025952 q^{84} - 395061976 q^{85} + 1538547296 q^{86} - 369395636 q^{87} - 3388839640 q^{88} + 874363684 q^{90} + 2087197720 q^{91} + 1061427500 q^{92} + 576415420 q^{93} + 6899365112 q^{94} + 5031766876 q^{95} + 490811364 q^{96} - 3419996368 q^{97} - 5630536112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −29.9491 + 29.9491i −1.32358 + 1.32358i −0.412720 + 0.910858i \(0.635421\pi\)
−0.910858 + 0.412720i \(0.864579\pi\)
\(3\) 97.1714 234.592i 0.692616 1.67212i −0.0468251 0.998903i \(-0.514910\pi\)
0.739442 0.673221i \(-0.235090\pi\)
\(4\) 1281.90i 2.50372i
\(5\) −584.865 242.259i −0.418495 0.173346i 0.163491 0.986545i \(-0.447724\pi\)
−0.581987 + 0.813198i \(0.697724\pi\)
\(6\) 4115.64 + 9936.04i 1.29645 + 3.12992i
\(7\) −4412.09 + 1827.55i −0.694549 + 0.287692i −0.701894 0.712281i \(-0.747662\pi\)
0.00734487 + 0.999973i \(0.497662\pi\)
\(8\) 23057.9 + 23057.9i 1.99029 + 1.99029i
\(9\) −31673.4 31673.4i −1.60917 1.60917i
\(10\) 24771.7 10260.8i 0.783349 0.324474i
\(11\) 9130.06 + 22041.9i 0.188021 + 0.453923i 0.989578 0.143995i \(-0.0459949\pi\)
−0.801557 + 0.597918i \(0.795995\pi\)
\(12\) −300725. 124564.i −4.18652 1.73411i
\(13\) 126359.i 1.22705i 0.789675 + 0.613525i \(0.210249\pi\)
−0.789675 + 0.613525i \(0.789751\pi\)
\(14\) 77404.8 186872.i 0.538508 1.30007i
\(15\) −113664. + 113664.i −0.579714 + 0.579714i
\(16\) −724796. −2.76488
\(17\) 41544.2 341851.i 0.120640 0.992696i
\(18\) 1.89718e6 4.25973
\(19\) −600409. + 600409.i −1.05695 + 1.05695i −0.0586762 + 0.998277i \(0.518688\pi\)
−0.998277 + 0.0586762i \(0.981312\pi\)
\(20\) −310553. + 749740.i −0.434010 + 1.04779i
\(21\) 1.21263e6i 1.36063i
\(22\) −933574. 386699.i −0.849663 0.351942i
\(23\) 304305. + 734657.i 0.226743 + 0.547405i 0.995777 0.0918018i \(-0.0292626\pi\)
−0.769035 + 0.639207i \(0.779263\pi\)
\(24\) 7.64979e6 3.16865e6i 4.70651 1.94950i
\(25\) −1.09769e6 1.09769e6i −0.562017 0.562017i
\(26\) −3.78435e6 3.78435e6i −1.62410 1.62410i
\(27\) −5.89060e6 + 2.43997e6i −2.13315 + 0.883582i
\(28\) 2.34274e6 + 5.65587e6i 0.720298 + 1.73895i
\(29\) −798702. 330833.i −0.209698 0.0868597i 0.275362 0.961341i \(-0.411202\pi\)
−0.485060 + 0.874481i \(0.661202\pi\)
\(30\) 6.80830e6i 1.53459i
\(31\) −194889. + 470504.i −0.0379018 + 0.0915031i −0.941697 0.336462i \(-0.890770\pi\)
0.903795 + 0.427965i \(0.140770\pi\)
\(32\) 9.90137e6 9.90137e6i 1.66925 1.66925i
\(33\) 6.05805e6 0.889242
\(34\) 8.99392e6 + 1.14824e7i 1.15423 + 1.47359i
\(35\) 3.02322e6 0.340536
\(36\) −4.06022e7 + 4.06022e7i −4.02891 + 4.02891i
\(37\) −3.60357e6 + 8.69979e6i −0.316100 + 0.763134i 0.683353 + 0.730088i \(0.260521\pi\)
−0.999454 + 0.0330462i \(0.989479\pi\)
\(38\) 3.59635e7i 2.79792i
\(39\) 2.96429e7 + 1.22785e7i 2.05178 + 0.849875i
\(40\) −7.89979e6 1.90718e7i −0.487916 1.17793i
\(41\) 1.99946e6 828205.i 0.110506 0.0457731i −0.326745 0.945112i \(-0.605952\pi\)
0.437252 + 0.899339i \(0.355952\pi\)
\(42\) −3.63172e7 3.63172e7i −1.80090 1.80090i
\(43\) −9.48745e6 9.48745e6i −0.423196 0.423196i 0.463107 0.886303i \(-0.346735\pi\)
−0.886303 + 0.463107i \(0.846735\pi\)
\(44\) 2.82556e7 1.17038e7i 1.13649 0.470751i
\(45\) 1.08515e7 + 2.61978e7i 0.394487 + 0.952377i
\(46\) −3.11160e7 1.28887e7i −1.02465 0.424422i
\(47\) 3.55358e7i 1.06225i −0.847294 0.531124i \(-0.821770\pi\)
0.847294 0.531124i \(-0.178230\pi\)
\(48\) −7.04294e7 + 1.70032e8i −1.91500 + 4.62322i
\(49\) −1.24077e7 + 1.24077e7i −0.307475 + 0.307475i
\(50\) 6.57498e7 1.48775
\(51\) −7.61587e7 4.29641e7i −1.57635 0.889282i
\(52\) 1.61980e8 3.07218
\(53\) −2.03225e7 + 2.03225e7i −0.353782 + 0.353782i −0.861515 0.507733i \(-0.830484\pi\)
0.507733 + 0.861515i \(0.330484\pi\)
\(54\) 1.03343e8 2.49493e8i 1.65391 3.99289i
\(55\) 1.51034e7i 0.222558i
\(56\) −1.43873e8 5.95942e7i −1.95494 0.809762i
\(57\) 8.25088e7 + 1.99194e8i 1.03529 + 2.49942i
\(58\) 3.38286e7 1.40123e7i 0.392517 0.162586i
\(59\) −5.63717e7 5.63717e7i −0.605658 0.605658i 0.336151 0.941808i \(-0.390875\pi\)
−0.941808 + 0.336151i \(0.890875\pi\)
\(60\) 1.45707e8 + 1.45707e8i 1.45144 + 1.45144i
\(61\) 6.43536e7 2.66562e7i 0.595099 0.246498i −0.0647439 0.997902i \(-0.520623\pi\)
0.659842 + 0.751404i \(0.270623\pi\)
\(62\) −8.25443e6 1.99280e7i −0.0709455 0.171278i
\(63\) 1.97630e8 + 8.18612e7i 1.58060 + 0.654705i
\(64\) 2.21979e8i 1.65388i
\(65\) 3.06117e7 7.39032e7i 0.212705 0.513515i
\(66\) −1.81433e8 + 1.81433e8i −1.17698 + 1.17698i
\(67\) −1.51200e8 −0.916677 −0.458339 0.888778i \(-0.651555\pi\)
−0.458339 + 0.888778i \(0.651555\pi\)
\(68\) −4.38219e8 5.32556e7i −2.48543 0.302048i
\(69\) 2.01915e8 1.07238
\(70\) −9.05428e7 + 9.05428e7i −0.450726 + 0.450726i
\(71\) −3.46926e7 + 8.37552e7i −0.162022 + 0.391155i −0.983952 0.178433i \(-0.942897\pi\)
0.821930 + 0.569588i \(0.192897\pi\)
\(72\) 1.46064e9i 6.40543i
\(73\) −6.87867e7 2.84924e7i −0.283499 0.117429i 0.236403 0.971655i \(-0.424031\pi\)
−0.519902 + 0.854226i \(0.674031\pi\)
\(74\) −1.52627e8 3.68475e8i −0.591684 1.42845i
\(75\) −3.64174e8 + 1.50846e8i −1.32903 + 0.550500i
\(76\) 7.69665e8 + 7.69665e8i 2.64631 + 2.64631i
\(77\) −8.05653e7 8.05653e7i −0.261180 0.261180i
\(78\) −1.25551e9 + 5.20050e8i −3.84056 + 1.59081i
\(79\) −1.22216e8 2.95055e8i −0.353025 0.852277i −0.996244 0.0865944i \(-0.972402\pi\)
0.643219 0.765682i \(-0.277598\pi\)
\(80\) 4.23908e8 + 1.75588e8i 1.15709 + 0.479282i
\(81\) 7.37326e8i 1.90317i
\(82\) −3.50782e7 + 8.46863e7i −0.0856791 + 0.206848i
\(83\) 4.89686e8 4.89686e8i 1.13257 1.13257i 0.142826 0.989748i \(-0.454381\pi\)
0.989748 0.142826i \(-0.0456188\pi\)
\(84\) 1.55447e9 3.40664
\(85\) −1.07114e8 + 1.89872e8i −0.222568 + 0.394526i
\(86\) 5.68282e8 1.12027
\(87\) −1.55222e8 + 1.55222e8i −0.290480 + 0.290480i
\(88\) −2.97721e8 + 7.18761e8i −0.529221 + 1.27765i
\(89\) 6.16283e8i 1.04118i 0.853807 + 0.520589i \(0.174288\pi\)
−0.853807 + 0.520589i \(0.825712\pi\)
\(90\) −1.10959e9 4.59609e8i −1.78268 0.738410i
\(91\) −2.30928e8 5.57509e8i −0.353012 0.852247i
\(92\) 9.41758e8 3.90089e8i 1.37055 0.567700i
\(93\) 9.14391e7 + 9.14391e7i 0.126753 + 0.126753i
\(94\) 1.06427e9 + 1.06427e9i 1.40597 + 1.40597i
\(95\) 4.96613e8 2.05704e8i 0.625549 0.259111i
\(96\) −1.36066e9 3.28492e9i −1.63504 3.94733i
\(97\) −6.65193e8 2.75532e8i −0.762912 0.316009i −0.0329147 0.999458i \(-0.510479\pi\)
−0.729998 + 0.683449i \(0.760479\pi\)
\(98\) 7.43201e8i 0.813933i
\(99\) 4.08962e8 9.87322e8i 0.427883 1.03300i
\(100\) −1.40713e9 + 1.40713e9i −1.40713 + 1.40713i
\(101\) −1.47456e9 −1.40999 −0.704996 0.709211i \(-0.749051\pi\)
−0.704996 + 0.709211i \(0.749051\pi\)
\(102\) 3.56763e9 9.94151e8i 3.26346 0.909393i
\(103\) 8.84387e8 0.774239 0.387119 0.922030i \(-0.373470\pi\)
0.387119 + 0.922030i \(0.373470\pi\)
\(104\) −2.91358e9 + 2.91358e9i −2.44218 + 2.44218i
\(105\) 2.93770e8 7.09224e8i 0.235861 0.569418i
\(106\) 1.21728e9i 0.936517i
\(107\) −1.57199e9 6.51141e8i −1.15937 0.480229i −0.281708 0.959500i \(-0.590901\pi\)
−0.877667 + 0.479271i \(0.840901\pi\)
\(108\) 3.12780e9 + 7.55117e9i 2.21224 + 5.34081i
\(109\) −6.23253e8 + 2.58160e8i −0.422907 + 0.175174i −0.583979 0.811769i \(-0.698505\pi\)
0.161072 + 0.986943i \(0.448505\pi\)
\(110\) 4.52334e8 + 4.52334e8i 0.294572 + 0.294572i
\(111\) 1.69074e9 + 1.69074e9i 1.05712 + 1.05712i
\(112\) 3.19786e9 1.32460e9i 1.92034 0.795432i
\(113\) −6.40269e8 1.54575e9i −0.369411 0.891836i −0.993847 0.110760i \(-0.964671\pi\)
0.624437 0.781076i \(-0.285329\pi\)
\(114\) −8.43676e9 3.49462e9i −4.67847 1.93788i
\(115\) 5.03396e8i 0.268392i
\(116\) −4.24096e8 + 1.02386e9i −0.217472 + 0.525024i
\(117\) 4.00223e9 4.00223e9i 1.97454 1.97454i
\(118\) 3.37657e9 1.60327
\(119\) 4.41452e8 + 1.58420e9i 0.201800 + 0.724184i
\(120\) −5.24173e9 −2.30759
\(121\) 1.26483e9 1.26483e9i 0.536413 0.536413i
\(122\) −1.12901e9 + 2.72567e9i −0.461400 + 1.11392i
\(123\) 5.49537e8i 0.216483i
\(124\) 6.03141e8 + 2.49829e8i 0.229098 + 0.0948954i
\(125\) 8.49238e8 + 2.05024e9i 0.311124 + 0.751121i
\(126\) −8.37053e9 + 3.46719e9i −2.95859 + 1.22549i
\(127\) −2.76459e9 2.76459e9i −0.943006 0.943006i 0.0554548 0.998461i \(-0.482339\pi\)
−0.998461 + 0.0554548i \(0.982339\pi\)
\(128\) −1.57859e9 1.57859e9i −0.519787 0.519787i
\(129\) −3.14759e9 + 1.30378e9i −1.00075 + 0.414524i
\(130\) 1.29654e9 + 3.13013e9i 0.398145 + 0.961208i
\(131\) 5.78741e9 + 2.39722e9i 1.71697 + 0.711193i 0.999899 + 0.0141960i \(0.00451888\pi\)
0.717074 + 0.696997i \(0.245481\pi\)
\(132\) 7.76583e9i 2.22641i
\(133\) 1.55178e9 3.74633e9i 0.430029 1.03818i
\(134\) 4.52832e9 4.52832e9i 1.21329 1.21329i
\(135\) 4.03631e9 1.04588
\(136\) 8.84029e9 6.92445e9i 2.21586 1.73564i
\(137\) 2.07304e8 0.0502764 0.0251382 0.999684i \(-0.491997\pi\)
0.0251382 + 0.999684i \(0.491997\pi\)
\(138\) −6.04717e9 + 6.04717e9i −1.41937 + 1.41937i
\(139\) −3.10837e9 + 7.50427e9i −0.706263 + 1.70507i 0.00287151 + 0.999996i \(0.499086\pi\)
−0.709134 + 0.705073i \(0.750914\pi\)
\(140\) 3.87547e9i 0.852606i
\(141\) −8.33644e9 3.45307e9i −1.77621 0.735731i
\(142\) −1.46939e9 3.54741e9i −0.303276 0.732173i
\(143\) −2.78520e9 + 1.15367e9i −0.556986 + 0.230711i
\(144\) 2.29567e10 + 2.29567e10i 4.44917 + 4.44917i
\(145\) 3.86986e8 + 3.86986e8i 0.0727007 + 0.0727007i
\(146\) 2.91342e9 1.20678e9i 0.530659 0.219806i
\(147\) 1.70508e9 + 4.11643e9i 0.301174 + 0.727098i
\(148\) 1.11523e10 + 4.61942e9i 1.91067 + 0.791426i
\(149\) 2.35022e9i 0.390634i 0.980740 + 0.195317i \(0.0625735\pi\)
−0.980740 + 0.195317i \(0.937427\pi\)
\(150\) 6.38900e9 1.54244e10i 1.03044 2.48770i
\(151\) −4.36187e9 + 4.36187e9i −0.682774 + 0.682774i −0.960624 0.277851i \(-0.910378\pi\)
0.277851 + 0.960624i \(0.410378\pi\)
\(152\) −2.76884e10 −4.20728
\(153\) −1.21434e10 + 9.51172e9i −1.79155 + 1.40329i
\(154\) 4.82572e9 0.691384
\(155\) 2.27968e8 2.27968e8i 0.0317235 0.0317235i
\(156\) 1.57399e10 3.79994e10i 2.12785 5.13707i
\(157\) 5.43114e8i 0.0713416i −0.999364 0.0356708i \(-0.988643\pi\)
0.999364 0.0356708i \(-0.0113568\pi\)
\(158\) 1.24969e10 + 5.17638e9i 1.59531 + 0.660799i
\(159\) 2.79274e9 + 6.74228e9i 0.346532 + 0.836603i
\(160\) −8.18966e9 + 3.39227e9i −0.987930 + 0.409214i
\(161\) −2.68524e9 2.68524e9i −0.314968 0.314968i
\(162\) −2.20823e10 2.20823e10i −2.51899 2.51899i
\(163\) −7.30160e9 + 3.02442e9i −0.810165 + 0.335581i −0.749020 0.662547i \(-0.769475\pi\)
−0.0611452 + 0.998129i \(0.519475\pi\)
\(164\) −1.06168e9 2.56312e9i −0.114603 0.276676i
\(165\) −3.54314e9 1.46762e9i −0.372144 0.154147i
\(166\) 2.93314e10i 2.99810i
\(167\) 6.17663e9 1.49117e10i 0.614508 1.48355i −0.243492 0.969903i \(-0.578293\pi\)
0.858000 0.513650i \(-0.171707\pi\)
\(168\) −2.79607e10 + 2.79607e10i −2.70805 + 2.70805i
\(169\) −5.36218e9 −0.505651
\(170\) −2.47853e9 8.89449e9i −0.227601 0.816772i
\(171\) 3.80339e10 3.40164
\(172\) −1.21620e10 + 1.21620e10i −1.05956 + 1.05956i
\(173\) −5.65533e8 + 1.36532e9i −0.0480010 + 0.115885i −0.946061 0.323988i \(-0.894976\pi\)
0.898060 + 0.439872i \(0.144976\pi\)
\(174\) 9.29753e9i 0.768946i
\(175\) 6.84919e9 + 2.83703e9i 0.552036 + 0.228661i
\(176\) −6.61743e9 1.59759e10i −0.519855 1.25504i
\(177\) −1.87021e10 + 7.74666e9i −1.43222 + 0.593246i
\(178\) −1.84571e10 1.84571e10i −1.37808 1.37808i
\(179\) 1.34911e10 + 1.34911e10i 0.982223 + 0.982223i 0.999845 0.0176219i \(-0.00560953\pi\)
−0.0176219 + 0.999845i \(0.505610\pi\)
\(180\) 3.35830e10 1.39106e10i 2.38448 0.987684i
\(181\) 4.91469e9 + 1.18651e10i 0.340363 + 0.821709i 0.997679 + 0.0680940i \(0.0216918\pi\)
−0.657316 + 0.753615i \(0.728308\pi\)
\(182\) 2.36130e10 + 9.78082e9i 1.59525 + 0.660776i
\(183\) 1.76871e10i 1.16581i
\(184\) −9.92302e9 + 2.39563e10i −0.638210 + 1.54078i
\(185\) 4.21520e9 4.21520e9i 0.264573 0.264573i
\(186\) −5.47705e9 −0.335535
\(187\) 7.91435e9 2.20540e9i 0.473291 0.131887i
\(188\) −4.55535e10 −2.65957
\(189\) 2.15307e10 2.15307e10i 1.22738 1.22738i
\(190\) −8.71247e9 + 2.10338e10i −0.485010 + 1.17092i
\(191\) 3.91691e9i 0.212958i −0.994315 0.106479i \(-0.966042\pi\)
0.994315 0.106479i \(-0.0339577\pi\)
\(192\) 5.20747e10 + 2.15700e10i 2.76548 + 1.14550i
\(193\) −7.32143e9 1.76755e10i −0.379829 0.916988i −0.991997 0.126260i \(-0.959703\pi\)
0.612168 0.790727i \(-0.290297\pi\)
\(194\) 2.81739e10 1.16700e10i 1.42804 0.591512i
\(195\) −1.43625e10 1.43625e10i −0.711337 0.711337i
\(196\) 1.59055e10 + 1.59055e10i 0.769829 + 0.769829i
\(197\) 2.69419e9 1.11597e9i 0.127447 0.0527904i −0.318048 0.948074i \(-0.603027\pi\)
0.445496 + 0.895284i \(0.353027\pi\)
\(198\) 1.73214e10 + 4.18175e10i 0.800920 + 1.93359i
\(199\) −2.51655e10 1.04239e10i −1.13754 0.471184i −0.267202 0.963641i \(-0.586099\pi\)
−0.870337 + 0.492457i \(0.836099\pi\)
\(200\) 5.06209e10i 2.23715i
\(201\) −1.46924e10 + 3.54705e10i −0.634906 + 1.53280i
\(202\) 4.41618e10 4.41618e10i 1.86623 1.86623i
\(203\) 4.12856e9 0.170634
\(204\) −5.50758e10 + 9.76281e10i −2.22651 + 3.94674i
\(205\) −1.37006e9 −0.0541809
\(206\) −2.64866e10 + 2.64866e10i −1.02477 + 1.02477i
\(207\) 1.36307e10 3.29074e10i 0.516002 1.24574i
\(208\) 9.15848e10i 3.39264i
\(209\) −1.87159e10 7.75239e9i −0.678505 0.281046i
\(210\) 1.24425e10 + 3.00388e10i 0.441489 + 1.06585i
\(211\) −1.29960e9 + 5.38314e8i −0.0451378 + 0.0186967i −0.405138 0.914255i \(-0.632777\pi\)
0.360000 + 0.932952i \(0.382777\pi\)
\(212\) 2.60515e10 + 2.60515e10i 0.885770 + 0.885770i
\(213\) 1.62772e10 + 1.62772e10i 0.541841 + 0.541841i
\(214\) 6.65810e10 2.75787e10i 2.17014 0.898902i
\(215\) 3.25046e9 + 7.84730e9i 0.103746 + 0.250465i
\(216\) −1.92085e11 7.95644e10i −6.00417 2.48701i
\(217\) 2.43208e9i 0.0744575i
\(218\) 1.09342e10 2.63976e10i 0.327894 0.791607i
\(219\) −1.33682e10 + 1.33682e10i −0.392712 + 0.392712i
\(220\) −1.93611e10 −0.557221
\(221\) 4.31960e10 + 5.24950e9i 1.21809 + 0.148031i
\(222\) −1.01272e11 −2.79836
\(223\) 1.81416e10 1.81416e10i 0.491251 0.491251i −0.417449 0.908700i \(-0.637076\pi\)
0.908700 + 0.417449i \(0.137076\pi\)
\(224\) −2.55905e10 + 6.17809e10i −0.679145 + 1.63960i
\(225\) 6.95351e10i 1.80877i
\(226\) 6.54693e10 + 2.71183e10i 1.66936 + 0.691471i
\(227\) −1.30274e10 3.14510e10i −0.325643 0.786172i −0.998906 0.0467688i \(-0.985108\pi\)
0.673262 0.739404i \(-0.264892\pi\)
\(228\) 2.55347e11 1.05768e11i 6.25784 2.59208i
\(229\) −2.95341e10 2.95341e10i −0.709682 0.709682i 0.256786 0.966468i \(-0.417336\pi\)
−0.966468 + 0.256786i \(0.917336\pi\)
\(230\) 1.50763e10 + 1.50763e10i 0.355237 + 0.355237i
\(231\) −2.67286e10 + 1.10714e10i −0.617622 + 0.255828i
\(232\) −1.07881e10 2.60447e10i −0.244483 0.590234i
\(233\) −1.06976e10 4.43110e9i −0.237786 0.0984941i 0.260609 0.965445i \(-0.416077\pi\)
−0.498394 + 0.866950i \(0.666077\pi\)
\(234\) 2.39726e11i 5.22691i
\(235\) −8.60888e9 + 2.07837e10i −0.184137 + 0.444546i
\(236\) −7.22631e10 + 7.22631e10i −1.51640 + 1.51640i
\(237\) −8.10935e10 −1.66962
\(238\) −6.06665e10 3.42243e10i −1.22561 0.691415i
\(239\) 3.98181e10 0.789387 0.394694 0.918813i \(-0.370851\pi\)
0.394694 + 0.918813i \(0.370851\pi\)
\(240\) 8.23835e10 8.23835e10i 1.60284 1.60284i
\(241\) −3.74397e10 + 9.03873e10i −0.714916 + 1.72596i −0.0275820 + 0.999620i \(0.508781\pi\)
−0.687334 + 0.726341i \(0.741219\pi\)
\(242\) 7.57613e10i 1.41997i
\(243\) 5.70265e10 + 2.36211e10i 1.04918 + 0.434583i
\(244\) −3.41706e10 8.24951e10i −0.617161 1.48996i
\(245\) 1.02627e10 4.25096e9i 0.181976 0.0753771i
\(246\) 1.64582e10 + 1.64582e10i 0.286532 + 0.286532i
\(247\) −7.58672e10 7.58672e10i −1.29693 1.29693i
\(248\) −1.53426e10 + 6.35511e9i −0.257553 + 0.106682i
\(249\) −6.72932e10 1.62460e11i −1.10936 2.67824i
\(250\) −8.68369e10 3.59690e10i −1.40596 0.582369i
\(251\) 5.24040e10i 0.833360i −0.909053 0.416680i \(-0.863194\pi\)
0.909053 0.416680i \(-0.136806\pi\)
\(252\) 1.04938e11 2.53343e11i 1.63919 3.95737i
\(253\) −1.34149e10 + 1.34149e10i −0.205848 + 0.205848i
\(254\) 1.65594e11 2.49628
\(255\) 3.41341e10 + 4.35783e10i 0.505543 + 0.645416i
\(256\) −1.90985e10 −0.277919
\(257\) 2.44669e10 2.44669e10i 0.349848 0.349848i −0.510205 0.860053i \(-0.670430\pi\)
0.860053 + 0.510205i \(0.170430\pi\)
\(258\) 5.52208e10 1.33315e11i 0.775914 1.87322i
\(259\) 4.49699e10i 0.620974i
\(260\) −9.47367e10 3.92412e10i −1.28570 0.532552i
\(261\) 1.48190e10 + 3.57762e10i 0.197668 + 0.477213i
\(262\) −2.45123e11 + 1.01533e11i −3.21387 + 1.33123i
\(263\) 9.67336e10 + 9.67336e10i 1.24674 + 1.24674i 0.957150 + 0.289592i \(0.0935195\pi\)
0.289592 + 0.957150i \(0.406481\pi\)
\(264\) 1.39686e11 + 1.39686e11i 1.76985 + 1.76985i
\(265\) 1.68092e10 6.96262e9i 0.209383 0.0867293i
\(266\) 6.57249e10 + 1.58674e11i 0.804938 + 1.94329i
\(267\) 1.44575e11 + 5.98851e10i 1.74098 + 0.721137i
\(268\) 1.93824e11i 2.29510i
\(269\) −6.34294e9 + 1.53132e10i −0.0738593 + 0.178312i −0.956497 0.291741i \(-0.905765\pi\)
0.882638 + 0.470053i \(0.155765\pi\)
\(270\) −1.20884e11 + 1.20884e11i −1.38431 + 1.38431i
\(271\) 1.34355e11 1.51319 0.756593 0.653886i \(-0.226862\pi\)
0.756593 + 0.653886i \(0.226862\pi\)
\(272\) −3.01111e10 + 2.47772e11i −0.333554 + 2.74468i
\(273\) −1.53227e11 −1.66956
\(274\) −6.20857e9 + 6.20857e9i −0.0665448 + 0.0665448i
\(275\) 1.41732e10 3.42172e10i 0.149442 0.360784i
\(276\) 2.58835e11i 2.68492i
\(277\) 1.73813e11 + 7.19957e10i 1.77388 + 0.734764i 0.994070 + 0.108743i \(0.0346826\pi\)
0.779807 + 0.626021i \(0.215317\pi\)
\(278\) −1.31653e11 3.17840e11i −1.32200 3.19159i
\(279\) 2.10753e10 8.72966e9i 0.208235 0.0862538i
\(280\) 6.97091e10 + 6.97091e10i 0.677764 + 0.677764i
\(281\) 6.94883e10 + 6.94883e10i 0.664865 + 0.664865i 0.956523 0.291658i \(-0.0942068\pi\)
−0.291658 + 0.956523i \(0.594207\pi\)
\(282\) 3.53086e11 1.46253e11i 3.32475 1.37716i
\(283\) −5.68344e10 1.37210e11i −0.526711 1.27159i −0.933666 0.358145i \(-0.883409\pi\)
0.406955 0.913448i \(-0.366591\pi\)
\(284\) 1.07366e11 + 4.44725e10i 0.979342 + 0.405657i
\(285\) 1.36490e11i 1.22546i
\(286\) 4.88630e10 1.17966e11i 0.431850 1.04258i
\(287\) −7.30823e9 + 7.30823e9i −0.0635834 + 0.0635834i
\(288\) −6.27219e11 −5.37221
\(289\) −1.15136e11 2.84038e10i −0.970892 0.239517i
\(290\) −2.31798e10 −0.192450
\(291\) −1.29275e11 + 1.29275e11i −1.05681 + 1.05681i
\(292\) −3.65244e10 + 8.81778e10i −0.294009 + 0.709801i
\(293\) 3.32098e10i 0.263246i −0.991300 0.131623i \(-0.957981\pi\)
0.991300 0.131623i \(-0.0420189\pi\)
\(294\) −1.74349e11 7.22178e10i −1.36100 0.563744i
\(295\) 1.93133e10 + 4.66264e10i 0.148476 + 0.358454i
\(296\) −2.83690e11 + 1.17508e11i −2.14798 + 0.889724i
\(297\) −1.07563e11 1.07563e11i −0.802156 0.802156i
\(298\) −7.03870e10 7.03870e10i −0.517034 0.517034i
\(299\) −9.28307e10 + 3.84517e10i −0.671694 + 0.278225i
\(300\) 1.93370e11 + 4.66836e11i 1.37830 + 3.32750i
\(301\) 5.91982e10 + 2.45207e10i 0.415680 + 0.172180i
\(302\) 2.61269e11i 1.80741i
\(303\) −1.43285e11 + 3.45921e11i −0.976583 + 2.35768i
\(304\) 4.35174e11 4.35174e11i 2.92235 2.92235i
\(305\) −4.40959e10 −0.291776
\(306\) 7.88169e10 6.48553e11i 0.513893 4.22862i
\(307\) 8.60505e10 0.552880 0.276440 0.961031i \(-0.410845\pi\)
0.276440 + 0.961031i \(0.410845\pi\)
\(308\) −1.03277e11 + 1.03277e11i −0.653920 + 0.653920i
\(309\) 8.59371e10 2.07471e11i 0.536251 1.29462i
\(310\) 1.36549e10i 0.0839770i
\(311\) 1.82135e11 + 7.54428e10i 1.10401 + 0.457295i 0.858870 0.512194i \(-0.171167\pi\)
0.245137 + 0.969488i \(0.421167\pi\)
\(312\) 4.00388e11 + 9.66622e11i 2.39213 + 5.77512i
\(313\) −1.30460e11 + 5.40384e10i −0.768296 + 0.318238i −0.732182 0.681109i \(-0.761498\pi\)
−0.0361138 + 0.999348i \(0.511498\pi\)
\(314\) 1.62658e10 + 1.62658e10i 0.0944261 + 0.0944261i
\(315\) −9.57555e10 9.57555e10i −0.547982 0.547982i
\(316\) −3.78231e11 + 1.56669e11i −2.13386 + 0.883873i
\(317\) −8.63309e10 2.08421e11i −0.480175 1.15925i −0.959525 0.281622i \(-0.909128\pi\)
0.479350 0.877624i \(-0.340872\pi\)
\(318\) −2.85566e11 1.18285e11i −1.56597 0.648647i
\(319\) 2.06255e10i 0.111518i
\(320\) 5.37765e10 1.29828e11i 0.286693 0.692139i
\(321\) −3.05506e11 + 3.05506e11i −1.60600 + 1.60600i
\(322\) 1.60841e11 0.833769
\(323\) 1.80307e11 + 2.30194e11i 0.921723 + 1.17674i
\(324\) 9.45180e11 4.76499
\(325\) 1.38703e11 1.38703e11i 0.689623 0.689623i
\(326\) 1.28098e11 3.09255e11i 0.628149 1.51648i
\(327\) 1.71296e11i 0.828481i
\(328\) 6.52002e10 + 2.70068e10i 0.311040 + 0.128837i
\(329\) 6.49434e10 + 1.56787e11i 0.305600 + 0.737784i
\(330\) 1.50068e11 6.21602e10i 0.696587 0.288536i
\(331\) 6.26299e10 + 6.26299e10i 0.286785 + 0.286785i 0.835807 0.549023i \(-0.185000\pi\)
−0.549023 + 0.835807i \(0.685000\pi\)
\(332\) −6.27730e11 6.27730e11i −2.83564 2.83564i
\(333\) 3.89689e11 1.61414e11i 1.73668 0.719355i
\(334\) 2.61608e11 + 6.31578e11i 1.15025 + 2.77695i
\(335\) 8.84319e10 + 3.66297e10i 0.383625 + 0.158903i
\(336\) 8.78908e11i 3.76198i
\(337\) −1.51295e11 + 3.65258e11i −0.638983 + 1.54264i 0.189053 + 0.981967i \(0.439458\pi\)
−0.828036 + 0.560675i \(0.810542\pi\)
\(338\) 1.60593e11 1.60593e11i 0.669269 0.669269i
\(339\) −4.24836e11 −1.74712
\(340\) 2.43398e11 + 1.37310e11i 0.987782 + 0.557246i
\(341\) −1.21502e10 −0.0486617
\(342\) −1.13908e12 + 1.13908e12i −4.50234 + 4.50234i
\(343\) 1.05816e11 2.55463e11i 0.412790 0.996563i
\(344\) 4.37522e11i 1.68456i
\(345\) −1.18093e11 4.89157e10i −0.448784 0.185893i
\(346\) −2.39529e10 5.78273e10i −0.0898494 0.216916i
\(347\) 1.51329e11 6.26823e10i 0.560323 0.232093i −0.0845026 0.996423i \(-0.526930\pi\)
0.644825 + 0.764330i \(0.276930\pi\)
\(348\) 1.98979e11 + 1.98979e11i 0.727280 + 0.727280i
\(349\) 1.22972e11 + 1.22972e11i 0.443703 + 0.443703i 0.893254 0.449552i \(-0.148416\pi\)
−0.449552 + 0.893254i \(0.648416\pi\)
\(350\) −2.90094e11 + 1.20161e11i −1.03331 + 0.428013i
\(351\) −3.08312e11 7.44332e11i −1.08420 2.61749i
\(352\) 3.08645e11 + 1.27845e11i 1.07156 + 0.443856i
\(353\) 2.68142e11i 0.919135i 0.888143 + 0.459568i \(0.151996\pi\)
−0.888143 + 0.459568i \(0.848004\pi\)
\(354\) 3.28106e11 7.92118e11i 1.11045 2.68087i
\(355\) 4.05809e10 4.05809e10i 0.135611 0.135611i
\(356\) 7.90014e11 2.60681
\(357\) 4.14538e11 + 5.03777e10i 1.35069 + 0.164146i
\(358\) −8.08096e11 −2.60010
\(359\) −2.25479e11 + 2.25479e11i −0.716443 + 0.716443i −0.967875 0.251432i \(-0.919099\pi\)
0.251432 + 0.967875i \(0.419099\pi\)
\(360\) −3.53854e11 + 8.54280e11i −1.11036 + 2.68064i
\(361\) 3.98294e11i 1.23430i
\(362\) −5.02541e11 2.08159e11i −1.53809 0.637099i
\(363\) −1.73815e11 4.19626e11i −0.525420 1.26848i
\(364\) −7.14672e11 + 2.96027e11i −2.13378 + 0.883842i
\(365\) 3.33284e10 + 3.33284e10i 0.0982871 + 0.0982871i
\(366\) 5.29713e11 + 5.29713e11i 1.54304 + 1.54304i
\(367\) −1.63153e11 + 6.75803e10i −0.469460 + 0.194457i −0.604856 0.796335i \(-0.706769\pi\)
0.135396 + 0.990792i \(0.456769\pi\)
\(368\) −2.20559e11 5.32476e11i −0.626916 1.51351i
\(369\) −8.95618e10 3.70977e10i −0.251481 0.104167i
\(370\) 2.52484e11i 0.700366i
\(371\) 5.25244e10 1.26805e11i 0.143939 0.347499i
\(372\) 1.17216e11 1.17216e11i 0.317354 0.317354i
\(373\) 3.80355e11 1.01742 0.508709 0.860938i \(-0.330123\pi\)
0.508709 + 0.860938i \(0.330123\pi\)
\(374\) −1.70978e11 + 3.03078e11i −0.451875 + 0.800999i
\(375\) 5.63493e11 1.47146
\(376\) 8.19383e11 8.19383e11i 2.11418 2.11418i
\(377\) 4.18039e10 1.00923e11i 0.106581 0.257310i
\(378\) 1.28965e12i 3.24907i
\(379\) −1.86448e11 7.72293e10i −0.464175 0.192267i 0.138325 0.990387i \(-0.455828\pi\)
−0.602499 + 0.798120i \(0.705828\pi\)
\(380\) −2.63692e11 6.36609e11i −0.648740 1.56620i
\(381\) −9.17192e11 + 3.79914e11i −2.22997 + 0.923682i
\(382\) 1.17308e11 + 1.17308e11i 0.281866 + 0.281866i
\(383\) −3.77969e11 3.77969e11i −0.897557 0.897557i 0.0976625 0.995220i \(-0.468863\pi\)
−0.995220 + 0.0976625i \(0.968863\pi\)
\(384\) −5.23720e11 + 2.16932e11i −1.22916 + 0.509135i
\(385\) 2.76022e10 + 6.66375e10i 0.0640280 + 0.154577i
\(386\) 7.48636e11 + 3.10095e11i 1.71644 + 0.710972i
\(387\) 6.00999e11i 1.36199i
\(388\) −3.53205e11 + 8.52712e11i −0.791196 + 1.91012i
\(389\) 2.11069e11 2.11069e11i 0.467360 0.467360i −0.433698 0.901058i \(-0.642791\pi\)
0.901058 + 0.433698i \(0.142791\pi\)
\(390\) 8.60292e11 1.88302
\(391\) 2.63785e11 7.35061e10i 0.570762 0.159048i
\(392\) −5.72192e11 −1.22392
\(393\) 1.12474e12 1.12474e12i 2.37841 2.37841i
\(394\) −4.72664e10 + 1.14111e11i −0.0988142 + 0.238559i
\(395\) 2.02175e11i 0.417869i
\(396\) −1.26565e12 5.24250e11i −2.58634 1.07130i
\(397\) 2.36698e11 + 5.71440e11i 0.478231 + 1.15455i 0.960438 + 0.278494i \(0.0898352\pi\)
−0.482207 + 0.876057i \(0.660165\pi\)
\(398\) 1.06587e12 4.41498e11i 2.12927 0.881972i
\(399\) −7.28072e11 7.28072e11i −1.43812 1.43812i
\(400\) 7.95602e11 + 7.95602e11i 1.55391 + 1.55391i
\(401\) −2.58852e11 + 1.07220e11i −0.499921 + 0.207074i −0.618372 0.785886i \(-0.712207\pi\)
0.118450 + 0.992960i \(0.462207\pi\)
\(402\) −6.22287e11 1.50233e12i −1.18843 2.86912i
\(403\) −5.94526e10 2.46261e10i −0.112279 0.0465074i
\(404\) 1.89024e12i 3.53022i
\(405\) 1.78624e11 4.31236e11i 0.329907 0.796467i
\(406\) −1.23647e11 + 1.23647e11i −0.225848 + 0.225848i
\(407\) −2.24661e11 −0.405838
\(408\) −7.65399e11 2.74672e12i −1.36747 4.90732i
\(409\) 2.65369e11 0.468916 0.234458 0.972126i \(-0.424668\pi\)
0.234458 + 0.972126i \(0.424668\pi\)
\(410\) 4.10320e10 4.10320e10i 0.0717127 0.0717127i
\(411\) 2.01440e10 4.86319e10i 0.0348223 0.0840685i
\(412\) 1.13370e12i 1.93847i
\(413\) 3.51739e11 + 1.45695e11i 0.594902 + 0.246416i
\(414\) 5.77321e11 + 1.39378e12i 0.965864 + 2.33180i
\(415\) −4.05031e11 + 1.67769e11i −0.670305 + 0.277649i
\(416\) 1.25113e12 + 1.25113e12i 2.04825 + 2.04825i
\(417\) 1.45840e12 + 1.45840e12i 2.36192 + 2.36192i
\(418\) 7.92704e11 3.28349e11i 1.27004 0.526068i
\(419\) −4.76888e10 1.15131e11i −0.0755881 0.182486i 0.881569 0.472055i \(-0.156488\pi\)
−0.957157 + 0.289570i \(0.906488\pi\)
\(420\) −9.09156e11 3.76585e11i −1.42566 0.590529i
\(421\) 1.25002e12i 1.93931i −0.244472 0.969656i \(-0.578615\pi\)
0.244472 0.969656i \(-0.421385\pi\)
\(422\) 2.28000e10 5.50441e10i 0.0349969 0.0844899i
\(423\) −1.12554e12 + 1.12554e12i −1.70934 + 1.70934i
\(424\) −9.37190e11 −1.40825
\(425\) −4.20849e11 + 3.29644e11i −0.625714 + 0.490111i
\(426\) −9.74978e11 −1.43434
\(427\) −2.35219e11 + 2.35219e11i −0.342410 + 0.342410i
\(428\) −8.34699e11 + 2.01514e12i −1.20236 + 2.90274i
\(429\) 7.65491e11i 1.09114i
\(430\) −3.32368e11 1.37671e11i −0.468826 0.194194i
\(431\) −4.90832e11 1.18497e12i −0.685149 1.65410i −0.754332 0.656493i \(-0.772039\pi\)
0.0691830 0.997604i \(-0.477961\pi\)
\(432\) 4.26948e12 1.76848e12i 5.89791 2.44300i
\(433\) −2.42014e11 2.42014e11i −0.330860 0.330860i 0.522053 0.852913i \(-0.325166\pi\)
−0.852913 + 0.522053i \(0.825166\pi\)
\(434\) 7.28386e10 + 7.28386e10i 0.0985502 + 0.0985502i
\(435\) 1.28388e11 5.31800e10i 0.171918 0.0712109i
\(436\) 3.30936e11 + 7.98949e11i 0.438586 + 1.05884i
\(437\) −6.23801e11 2.58387e11i −0.818239 0.338925i
\(438\) 8.00732e11i 1.03957i
\(439\) 5.52596e11 1.33409e12i 0.710097 1.71433i 0.0103372 0.999947i \(-0.496710\pi\)
0.699759 0.714379i \(-0.253290\pi\)
\(440\) 3.48253e11 3.48253e11i 0.442953 0.442953i
\(441\) 7.85988e11 0.989561
\(442\) −1.45090e12 + 1.13647e12i −1.80816 + 1.41630i
\(443\) −1.32709e11 −0.163713 −0.0818567 0.996644i \(-0.526085\pi\)
−0.0818567 + 0.996644i \(0.526085\pi\)
\(444\) 2.16736e12 2.16736e12i 2.64672 2.64672i
\(445\) 1.49300e11 3.60442e11i 0.180485 0.435728i
\(446\) 1.08665e12i 1.30042i
\(447\) 5.51343e11 + 2.28374e11i 0.653188 + 0.270559i
\(448\) −4.05678e11 9.79393e11i −0.475806 1.14870i
\(449\) −1.21488e12 + 5.03220e11i −1.41067 + 0.584319i −0.952498 0.304545i \(-0.901496\pi\)
−0.458172 + 0.888864i \(0.651496\pi\)
\(450\) −2.08252e12 2.08252e12i −2.39404 2.39404i
\(451\) 3.65105e10 + 3.65105e10i 0.0415550 + 0.0415550i
\(452\) −1.98150e12 + 8.20762e11i −2.23290 + 0.924899i
\(453\) 5.99413e11 + 1.44711e12i 0.668782 + 1.61458i
\(454\) 1.33209e12 + 5.51770e11i 1.47157 + 0.609546i
\(455\) 3.82012e11i 0.417855i
\(456\) −2.69052e12 + 6.49548e12i −2.91403 + 7.03509i
\(457\) 3.12172e11 3.12172e11i 0.334789 0.334789i −0.519613 0.854402i \(-0.673924\pi\)
0.854402 + 0.519613i \(0.173924\pi\)
\(458\) 1.76904e12 1.87864
\(459\) 5.89384e11 + 2.11507e12i 0.619785 + 2.22417i
\(460\) −6.45304e11 −0.671977
\(461\) −1.12730e12 + 1.12730e12i −1.16248 + 1.16248i −0.178550 + 0.983931i \(0.557141\pi\)
−0.983931 + 0.178550i \(0.942859\pi\)
\(462\) 4.68922e11 1.13208e12i 0.478864 1.15608i
\(463\) 4.73548e10i 0.0478906i 0.999713 + 0.0239453i \(0.00762275\pi\)
−0.999713 + 0.0239453i \(0.992377\pi\)
\(464\) 5.78896e11 + 2.39787e11i 0.579789 + 0.240156i
\(465\) −3.13276e10 7.56315e10i −0.0310734 0.0750178i
\(466\) 4.53093e11 1.87677e11i 0.445093 0.184363i
\(467\) −4.88505e11 4.88505e11i −0.475273 0.475273i 0.428343 0.903616i \(-0.359097\pi\)
−0.903616 + 0.428343i \(0.859097\pi\)
\(468\) −5.13046e12 5.13046e12i −4.94368 4.94368i
\(469\) 6.67110e11 2.76326e11i 0.636677 0.263720i
\(470\) −3.64625e11 8.80282e11i −0.344672 0.832111i
\(471\) −1.27411e11 5.27752e10i −0.119292 0.0494123i
\(472\) 2.59963e12i 2.41086i
\(473\) 1.22501e11 2.95743e11i 0.112529 0.271668i
\(474\) 2.42868e12 2.42868e12i 2.20988 2.20988i
\(475\) 1.31813e12 1.18805
\(476\) 2.03079e12 5.65898e11i 1.81315 0.505251i
\(477\) 1.28737e12 1.13859
\(478\) −1.19252e12 + 1.19252e12i −1.04482 + 1.04482i
\(479\) −4.21154e11 + 1.01675e12i −0.365536 + 0.882483i 0.628933 + 0.777459i \(0.283492\pi\)
−0.994470 + 0.105024i \(0.966508\pi\)
\(480\) 2.25086e12i 1.93537i
\(481\) −1.09930e12 4.55345e11i −0.936403 0.387871i
\(482\) −1.58574e12 3.82831e12i −1.33820 3.23069i
\(483\) −8.90865e11 + 3.69008e11i −0.744818 + 0.308514i
\(484\) −1.62139e12 1.62139e12i −1.34302 1.34302i
\(485\) 3.22298e11 + 3.22298e11i 0.264496 + 0.264496i
\(486\) −2.41533e12 + 1.00046e12i −1.96387 + 0.813461i
\(487\) 8.75677e10 + 2.11407e11i 0.0705445 + 0.170310i 0.955219 0.295900i \(-0.0956194\pi\)
−0.884674 + 0.466209i \(0.845619\pi\)
\(488\) 2.09850e12 + 8.69226e11i 1.67502 + 0.693815i
\(489\) 2.00679e12i 1.58713i
\(490\) −1.80047e11 + 4.34672e11i −0.141092 + 0.340627i
\(491\) 7.04010e9 7.04010e9i 0.00546653 0.00546653i −0.704368 0.709835i \(-0.748770\pi\)
0.709835 + 0.704368i \(0.248770\pi\)
\(492\) −7.04453e11 −0.542012
\(493\) −1.46277e11 + 2.59293e11i −0.111523 + 0.197687i
\(494\) 4.54432e12 3.43319
\(495\) −4.78375e11 + 4.78375e11i −0.358134 + 0.358134i
\(496\) 1.41255e11 3.41020e11i 0.104794 0.252995i
\(497\) 4.32938e11i 0.318289i
\(498\) 6.88092e12 + 2.85017e12i 5.01319 + 2.07653i
\(499\) −3.59889e11 8.68850e11i −0.259846 0.627324i 0.739082 0.673616i \(-0.235260\pi\)
−0.998928 + 0.0462914i \(0.985260\pi\)
\(500\) 2.62821e12 1.08864e12i 1.88059 0.778967i
\(501\) −2.89798e12 2.89798e12i −2.05507 2.05507i
\(502\) 1.56945e12 + 1.56945e12i 1.10302 + 1.10302i
\(503\) 3.84820e11 1.59398e11i 0.268041 0.111026i −0.244615 0.969620i \(-0.578662\pi\)
0.512656 + 0.858594i \(0.328662\pi\)
\(504\) 2.66940e12 + 6.44449e12i 1.84279 + 4.44889i
\(505\) 8.62419e11 + 3.57226e11i 0.590075 + 0.244417i
\(506\) 8.03531e11i 0.544911i
\(507\) −5.21050e11 + 1.25793e12i −0.350222 + 0.845512i
\(508\) −3.54394e12 + 3.54394e12i −2.36102 + 2.36102i
\(509\) −2.65362e12 −1.75230 −0.876149 0.482040i \(-0.839896\pi\)
−0.876149 + 0.482040i \(0.839896\pi\)
\(510\) −2.32742e12 2.82845e11i −1.52338 0.185133i
\(511\) 3.55564e11 0.230687
\(512\) 1.38022e12 1.38022e12i 0.887634 0.887634i
\(513\) 2.07179e12 5.00174e12i 1.32074 3.18855i
\(514\) 1.46552e12i 0.926102i
\(515\) −5.17247e11 2.14251e11i −0.324015 0.134212i
\(516\) 1.67131e12 + 4.03491e12i 1.03785 + 2.50559i
\(517\) 7.83278e11 3.24444e11i 0.482179 0.199725i
\(518\) 1.34681e12 + 1.34681e12i 0.821907 + 0.821907i
\(519\) 2.65340e11 + 2.65340e11i 0.160527 + 0.160527i
\(520\) 2.40990e12 9.98212e11i 1.44538 0.598698i
\(521\) −6.34524e11 1.53188e12i −0.377293 0.910865i −0.992471 0.122478i \(-0.960916\pi\)
0.615178 0.788388i \(-0.289084\pi\)
\(522\) −1.51528e12 6.27650e11i −0.893257 0.369999i
\(523\) 8.33225e11i 0.486973i 0.969904 + 0.243487i \(0.0782912\pi\)
−0.969904 + 0.243487i \(0.921709\pi\)
\(524\) 3.07301e12 7.41890e12i 1.78063 4.29881i
\(525\) 1.33109e12 1.33109e12i 0.764699 0.764699i
\(526\) −5.79418e12 −3.30032
\(527\) 1.52746e11 + 8.61698e10i 0.0862623 + 0.0486639i
\(528\) −4.39085e12 −2.45865
\(529\) 8.26488e11 8.26488e11i 0.458866 0.458866i
\(530\) −2.94898e11 + 7.11947e11i −0.162342 + 0.391928i
\(531\) 3.57097e12i 1.94922i
\(532\) −4.80243e12 1.98923e12i −2.59931 1.07667i
\(533\) 1.04651e11 + 2.52651e11i 0.0561659 + 0.135597i
\(534\) −6.12341e12 + 2.53640e12i −3.25880 + 1.34984i
\(535\) 7.61659e11 + 7.61659e11i 0.401947 + 0.401947i
\(536\) −3.48637e12 3.48637e12i −1.82445 1.82445i
\(537\) 4.47587e12 1.85397e12i 2.32270 0.962095i
\(538\) −2.68652e11 6.48583e11i −0.138251 0.333769i
\(539\) −3.86773e11 1.60207e11i −0.197382 0.0817581i
\(540\) 5.17415e12i 2.61859i
\(541\) −1.20113e12 + 2.89978e12i −0.602840 + 1.45538i 0.267806 + 0.963473i \(0.413702\pi\)
−0.870645 + 0.491911i \(0.836298\pi\)
\(542\) −4.02382e12 + 4.02382e12i −2.00282 + 2.00282i
\(543\) 3.26103e12 1.60974
\(544\) −2.97345e12 3.79613e12i −1.45568 1.85843i
\(545\) 4.27060e11 0.207350
\(546\) 4.58901e12 4.58901e12i 2.20980 2.20980i
\(547\) 1.17351e12 2.83311e12i 0.560459 1.35307i −0.348940 0.937145i \(-0.613458\pi\)
0.909400 0.415924i \(-0.136542\pi\)
\(548\) 2.65743e11i 0.125878i
\(549\) −2.88259e12 1.19401e12i −1.35428 0.560959i
\(550\) 6.00299e11 + 1.44925e12i 0.279728 + 0.675323i
\(551\) 6.78183e11 2.80913e11i 0.313447 0.129834i
\(552\) 4.65573e12 + 4.65573e12i 2.13433 + 2.13433i
\(553\) 1.07845e12 + 1.07845e12i 0.490386 + 0.490386i
\(554\) −7.36176e12 + 3.04934e12i −3.32038 + 1.37535i
\(555\) −5.79258e11 1.39845e12i −0.259151 0.625647i
\(556\) 9.61975e12 + 3.98463e12i 4.26901 + 1.76828i
\(557\) 3.38716e12i 1.49103i 0.666487 + 0.745517i \(0.267797\pi\)
−0.666487 + 0.745517i \(0.732203\pi\)
\(558\) −3.69740e11 + 8.92632e11i −0.161452 + 0.389779i
\(559\) 1.19883e12 1.19883e12i 0.519282 0.519282i
\(560\) −2.19122e12 −0.941541
\(561\) 2.51677e11 2.07095e12i 0.107278 0.882747i
\(562\) −4.16223e12 −1.76000
\(563\) −8.15936e11 + 8.15936e11i −0.342270 + 0.342270i −0.857220 0.514950i \(-0.827810\pi\)
0.514950 + 0.857220i \(0.327810\pi\)
\(564\) −4.42649e12 + 1.06865e13i −1.84206 + 4.44713i
\(565\) 1.05916e12i 0.437265i
\(566\) 5.81148e12 + 2.40719e12i 2.38020 + 0.985910i
\(567\) −1.34750e12 3.25315e12i −0.547525 1.32184i
\(568\) −2.73116e12 + 1.13128e12i −1.10098 + 0.456041i
\(569\) −4.18260e11 4.18260e11i −0.167279 0.167279i 0.618503 0.785782i \(-0.287739\pi\)
−0.785782 + 0.618503i \(0.787739\pi\)
\(570\) 4.08776e12 + 4.08776e12i 1.62199 + 1.62199i
\(571\) 2.09645e12 8.68377e11i 0.825318 0.341858i 0.0702705 0.997528i \(-0.477614\pi\)
0.755048 + 0.655670i \(0.227614\pi\)
\(572\) 1.47889e12 + 3.57036e12i 0.577636 + 1.39454i
\(573\) −9.18878e11 3.80612e11i −0.356092 0.147498i
\(574\) 4.37750e11i 0.168315i
\(575\) 4.72393e11 1.14046e12i 0.180218 0.435085i
\(576\) 7.03084e12 7.03084e12i 2.66137 2.66137i
\(577\) −5.96622e11 −0.224082 −0.112041 0.993704i \(-0.535739\pi\)
−0.112041 + 0.993704i \(0.535739\pi\)
\(578\) 4.29890e12 2.59755e12i 1.60207 0.968031i
\(579\) −4.85797e12 −1.79639
\(580\) 4.96078e11 4.96078e11i 0.182022 0.182022i
\(581\) −1.26561e12 + 3.05546e12i −0.460796 + 1.11246i
\(582\) 7.74338e12i 2.79754i
\(583\) −6.33493e11 2.62401e11i −0.227108 0.0940714i
\(584\) −9.29103e11 2.24305e12i −0.330526 0.797961i
\(585\) −3.31034e12 + 1.37119e12i −1.16861 + 0.484056i
\(586\) 9.94606e11 + 9.94606e11i 0.348427 + 0.348427i
\(587\) −2.08359e12 2.08359e12i −0.724338 0.724338i 0.245148 0.969486i \(-0.421163\pi\)
−0.969486 + 0.245148i \(0.921163\pi\)
\(588\) 5.27686e12 2.18575e12i 1.82045 0.754054i
\(589\) −1.65482e11 3.99508e11i −0.0566541 0.136775i
\(590\) −1.97484e12 8.18005e11i −0.670961 0.277921i
\(591\) 7.40478e11i 0.249671i
\(592\) 2.61185e12 6.30557e12i 0.873979 2.10997i
\(593\) −1.36496e12 + 1.36496e12i −0.453288 + 0.453288i −0.896444 0.443156i \(-0.853859\pi\)
0.443156 + 0.896444i \(0.353859\pi\)
\(594\) 6.44284e12 2.12343
\(595\) 1.25597e11 1.03349e12i 0.0410822 0.338049i
\(596\) 3.01275e12 0.978035
\(597\) −4.89073e12 + 4.89073e12i −1.57576 + 1.57576i
\(598\) 1.62860e12 3.93180e12i 0.520787 1.25729i
\(599\) 7.77527e10i 0.0246772i 0.999924 + 0.0123386i \(0.00392759\pi\)
−0.999924 + 0.0123386i \(0.996072\pi\)
\(600\) −1.18753e13 4.91890e12i −3.74079 1.54949i
\(601\) 7.25894e11 + 1.75246e12i 0.226954 + 0.547916i 0.995804 0.0915136i \(-0.0291705\pi\)
−0.768850 + 0.639430i \(0.779171\pi\)
\(602\) −2.50731e12 + 1.03856e12i −0.778079 + 0.322291i
\(603\) 4.78903e12 + 4.78903e12i 1.47509 + 1.47509i
\(604\) 5.59150e12 + 5.59150e12i 1.70947 + 1.70947i
\(605\) −1.04617e12 + 4.33339e11i −0.317471 + 0.131501i
\(606\) −6.06877e12 1.46513e13i −1.82799 4.41316i
\(607\) −4.28744e12 1.77592e12i −1.28189 0.530974i −0.365329 0.930879i \(-0.619043\pi\)
−0.916557 + 0.399904i \(0.869043\pi\)
\(608\) 1.18897e13i 3.52863i
\(609\) 4.01178e11 9.68528e11i 0.118184 0.285322i
\(610\) 1.32063e12 1.32063e12i 0.386188 0.386188i
\(611\) 4.49028e12 1.30343
\(612\) 1.21931e13 + 1.55667e13i 3.51344 + 4.48554i
\(613\) −1.31686e12 −0.376675 −0.188338 0.982104i \(-0.560310\pi\)
−0.188338 + 0.982104i \(0.560310\pi\)
\(614\) −2.57714e12 + 2.57714e12i −0.731779 + 0.731779i
\(615\) −1.33130e11 + 3.21405e11i −0.0375266 + 0.0905972i
\(616\) 3.71534e12i 1.03964i
\(617\) 2.80002e12 + 1.15981e12i 0.777819 + 0.322183i 0.736035 0.676944i \(-0.236696\pi\)
0.0417838 + 0.999127i \(0.486696\pi\)
\(618\) 3.63982e12 + 8.78731e12i 1.00377 + 2.42330i
\(619\) 3.38218e12 1.40095e12i 0.925953 0.383542i 0.131811 0.991275i \(-0.457921\pi\)
0.794142 + 0.607732i \(0.207921\pi\)
\(620\) −2.92233e11 2.92233e11i −0.0794266 0.0794266i
\(621\) −3.58507e12 3.58507e12i −0.967355 0.967355i
\(622\) −7.71424e12 + 3.19534e12i −2.06650 + 0.855974i
\(623\) −1.12629e12 2.71909e12i −0.299538 0.723149i
\(624\) −2.14851e13 8.89942e12i −5.67292 2.34980i
\(625\) 1.62712e12i 0.426540i
\(626\) 2.28877e12 5.52557e12i 0.595686 1.43811i
\(627\) −3.63731e12 + 3.63731e12i −0.939887 + 0.939887i
\(628\) −6.96219e11 −0.178619
\(629\) 2.82432e12 + 1.59331e12i 0.719426 + 0.405856i
\(630\) 5.73559e12 1.45059
\(631\) 2.01357e12 2.01357e12i 0.505633 0.505633i −0.407550 0.913183i \(-0.633617\pi\)
0.913183 + 0.407550i \(0.133617\pi\)
\(632\) 3.98531e12 9.62139e12i 0.993654 2.39889i
\(633\) 3.57186e11i 0.0884256i
\(634\) 8.82758e12 + 3.65650e12i 2.16990 + 0.898802i
\(635\) 9.47167e11 + 2.28666e12i 0.231177 + 0.558111i
\(636\) 8.64294e12 3.58002e12i 2.09462 0.867619i
\(637\) −1.56783e12 1.56783e12i −0.377287 0.377287i
\(638\) 6.17715e11 + 6.17715e11i 0.147603 + 0.147603i
\(639\) 3.75164e12 1.55398e12i 0.890159 0.368716i
\(640\) 5.40835e11 + 1.30569e12i 0.127425 + 0.307631i
\(641\) 3.72460e12 + 1.54278e12i 0.871402 + 0.360947i 0.773156 0.634215i \(-0.218677\pi\)
0.0982461 + 0.995162i \(0.468677\pi\)
\(642\) 1.82993e13i 4.25134i
\(643\) −1.60586e12 + 3.87689e12i −0.370475 + 0.894405i 0.623195 + 0.782066i \(0.285834\pi\)
−0.993670 + 0.112339i \(0.964166\pi\)
\(644\) −3.44221e12 + 3.44221e12i −0.788591 + 0.788591i
\(645\) 2.15677e12 0.490665
\(646\) −1.22941e13 1.49407e12i −2.77748 0.337540i
\(647\) 1.16754e12 0.261941 0.130971 0.991386i \(-0.458191\pi\)
0.130971 + 0.991386i \(0.458191\pi\)
\(648\) −1.70012e13 + 1.70012e13i −3.78784 + 3.78784i
\(649\) 7.27864e11 1.75722e12i 0.161046 0.388799i
\(650\) 8.30810e12i 1.82554i
\(651\) −5.70547e11 2.36328e11i −0.124502 0.0515705i
\(652\) 3.87701e12 + 9.35993e12i 0.840201 + 2.02842i
\(653\) 6.92669e12 2.86913e12i 1.49079 0.617505i 0.519301 0.854592i \(-0.326192\pi\)
0.971489 + 0.237086i \(0.0761925\pi\)
\(654\) −5.13017e12 5.13017e12i −1.09656 1.09656i
\(655\) −2.80411e12 2.80411e12i −0.595262 0.595262i
\(656\) −1.44920e12 + 6.00280e11i −0.305536 + 0.126557i
\(657\) 1.27626e12 + 3.08116e12i 0.267235 + 0.645163i
\(658\) −6.64064e12 2.75064e12i −1.38100 0.572029i
\(659\) 2.57241e11i 0.0531321i 0.999647 + 0.0265660i \(0.00845723\pi\)
−0.999647 + 0.0265660i \(0.991543\pi\)
\(660\) −1.88134e12 + 4.54196e12i −0.385940 + 0.931742i
\(661\) −2.34774e12 + 2.34774e12i −0.478347 + 0.478347i −0.904603 0.426255i \(-0.859832\pi\)
0.426255 + 0.904603i \(0.359832\pi\)
\(662\) −3.75143e12 −0.759164
\(663\) 5.42891e12 9.62336e12i 1.09119 1.93427i
\(664\) 2.25823e13 4.50829
\(665\) −1.81517e12 + 1.81517e12i −0.359931 + 0.359931i
\(666\) −6.83662e12 + 1.65051e13i −1.34650 + 3.25075i
\(667\) 6.87446e11i 0.134485i
\(668\) −1.91154e13 7.91784e12i −3.71440 1.53855i
\(669\) −2.49304e12 6.01872e12i −0.481184 1.16168i
\(670\) −3.74549e12 + 1.55143e12i −0.718078 + 0.297438i
\(671\) 1.17511e12 + 1.17511e12i 0.223782 + 0.223782i
\(672\) 1.20067e13 + 1.20067e13i 2.27123 + 2.27123i
\(673\) 4.55637e11 1.88731e11i 0.0856152 0.0354630i −0.339465 0.940619i \(-0.610246\pi\)
0.425080 + 0.905156i \(0.360246\pi\)
\(674\) −6.40801e12 1.54703e13i −1.19606 2.88755i
\(675\) 9.14438e12 + 3.78772e12i 1.69546 + 0.702282i
\(676\) 6.87379e12i 1.26601i
\(677\) −8.40137e11 + 2.02827e12i −0.153710 + 0.371088i −0.981911 0.189343i \(-0.939364\pi\)
0.828201 + 0.560430i \(0.189364\pi\)
\(678\) 1.27235e13 1.27235e13i 2.31245 2.31245i
\(679\) 3.43844e12 0.620793
\(680\) −6.84789e12 + 1.90823e12i −1.22819 + 0.342247i
\(681\) −8.64406e12 −1.54012
\(682\) 3.63887e11 3.63887e11i 0.0644076 0.0644076i
\(683\) 9.00881e11 2.17492e12i 0.158407 0.382428i −0.824672 0.565612i \(-0.808640\pi\)
0.983079 + 0.183183i \(0.0586402\pi\)
\(684\) 4.87558e13i 8.51675i
\(685\) −1.21245e11 5.02212e10i −0.0210405 0.00871525i
\(686\) 4.48180e12 + 1.08200e13i 0.772669 + 1.86539i
\(687\) −9.79834e12 + 4.05861e12i −1.67821 + 0.695139i
\(688\) 6.87647e12 + 6.87647e12i 1.17009 + 1.17009i
\(689\) −2.56794e12 2.56794e12i −0.434108 0.434108i
\(690\) 5.00176e12 2.07180e12i 0.840044 0.347958i
\(691\) 2.79018e12 + 6.73609e12i 0.465566 + 1.12397i 0.966079 + 0.258246i \(0.0831445\pi\)
−0.500514 + 0.865729i \(0.666855\pi\)
\(692\) 1.75020e12 + 7.24958e11i 0.290142 + 0.120181i
\(693\) 5.10355e12i 0.840568i
\(694\) −2.65488e12 + 6.40944e12i −0.434437 + 1.04882i
\(695\) 3.63596e12 3.63596e12i 0.591136 0.591136i
\(696\) −7.15819e12 −1.15628
\(697\) −2.00056e11 7.17926e11i −0.0321074 0.115221i
\(698\) −7.36581e12 −1.17455
\(699\) −2.07901e12 + 2.07901e12i −0.329389 + 0.329389i
\(700\) 3.63679e12 8.77999e12i 0.572502 1.38214i
\(701\) 6.58863e11i 0.103054i −0.998672 0.0515269i \(-0.983591\pi\)
0.998672 0.0515269i \(-0.0164088\pi\)
\(702\) 3.15258e13 + 1.30584e13i 4.89947 + 2.02943i
\(703\) −3.05981e12 7.38704e12i −0.472494 1.14070i
\(704\) −4.89285e12 + 2.02669e12i −0.750732 + 0.310963i
\(705\) 4.03916e12 + 4.03916e12i 0.615800 + 0.615800i
\(706\) −8.03064e12 8.03064e12i −1.21655 1.21655i
\(707\) 6.50589e12 2.69483e12i 0.979309 0.405643i
\(708\) 9.93047e12 + 2.39743e13i 1.48532 + 3.58588i
\(709\) −6.20704e12 2.57104e12i −0.922522 0.382121i −0.129685 0.991555i \(-0.541397\pi\)
−0.792837 + 0.609434i \(0.791397\pi\)
\(710\) 2.43073e12i 0.358983i
\(711\) −5.47439e12 + 1.32164e13i −0.803383 + 1.93954i
\(712\) −1.42102e13 + 1.42102e13i −2.07224 + 2.07224i
\(713\) −4.04965e11 −0.0586833
\(714\) −1.39238e13 + 1.09063e13i −2.00501 + 1.57049i
\(715\) 1.90845e12 0.273089
\(716\) 1.72943e13 1.72943e13i 2.45921 2.45921i
\(717\) 3.86918e12 9.34103e12i 0.546743 1.31995i
\(718\) 1.35058e13i 1.89654i
\(719\) −7.05858e12 2.92376e12i −0.985002 0.408001i −0.168726 0.985663i \(-0.553965\pi\)
−0.816276 + 0.577662i \(0.803965\pi\)
\(720\) −7.86512e12 1.89881e13i −1.09071 2.63321i
\(721\) −3.90199e12 + 1.61626e12i −0.537747 + 0.222742i
\(722\) 1.19286e13 + 1.19286e13i 1.63369 + 1.63369i
\(723\) 1.75661e13 + 1.75661e13i 2.39086 + 2.39086i
\(724\) 1.52099e13 6.30015e12i 2.05733 0.852173i
\(725\) 5.13575e11 + 1.23988e12i 0.0690371 + 0.166670i
\(726\) 1.77730e13 + 7.36183e12i 2.37436 + 0.983493i
\(727\) 1.47361e12i 0.195649i −0.995204 0.0978246i \(-0.968812\pi\)
0.995204 0.0978246i \(-0.0311884\pi\)
\(728\) 7.53028e12 1.81797e13i 0.993619 2.39881i
\(729\) 8.20593e11 8.20593e11i 0.107610 0.107610i
\(730\) −1.99631e12 −0.260181
\(731\) −3.63744e12 + 2.84914e12i −0.471159 + 0.369051i
\(732\) −2.26731e13 −2.91885
\(733\) 1.77633e12 1.77633e12i 0.227277 0.227277i −0.584277 0.811554i \(-0.698622\pi\)
0.811554 + 0.584277i \(0.198622\pi\)
\(734\) 2.86233e12 6.91027e12i 0.363988 0.878745i
\(735\) 2.82063e12i 0.356494i
\(736\) 1.02871e13 + 4.26107e12i 1.29224 + 0.535265i
\(737\) −1.38047e12 3.33275e12i −0.172355 0.416101i
\(738\) 3.79335e12 1.57126e12i 0.470727 0.194981i
\(739\) 6.38676e12 + 6.38676e12i 0.787736 + 0.787736i 0.981123 0.193386i \(-0.0619471\pi\)
−0.193386 + 0.981123i \(0.561947\pi\)
\(740\) −5.40348e12 5.40348e12i −0.662416 0.662416i
\(741\) −2.51700e13 + 1.04258e13i −3.06691 + 1.27036i
\(742\) 2.22464e12 + 5.37076e12i 0.269428 + 0.650457i
\(743\) 2.94188e12 + 1.21856e12i 0.354140 + 0.146689i 0.552659 0.833408i \(-0.313613\pi\)
−0.198519 + 0.980097i \(0.563613\pi\)
\(744\) 4.21679e12i 0.504550i
\(745\) 5.69361e11 1.37456e12i 0.0677150 0.163478i
\(746\) −1.13913e13 + 1.13913e13i −1.34663 + 1.34663i
\(747\) −3.10200e13 −3.64502
\(748\) −2.82711e12 1.01454e13i −0.330207 1.18499i
\(749\) 8.12577e12 0.943401
\(750\) −1.68761e13 + 1.68761e13i −1.94759 + 1.94759i
\(751\) 1.97981e12 4.77968e12i 0.227114 0.548301i −0.768710 0.639597i \(-0.779101\pi\)
0.995824 + 0.0912965i \(0.0291011\pi\)
\(752\) 2.57562e13i 2.93699i
\(753\) −1.22936e13 5.09217e12i −1.39348 0.577198i
\(754\) 1.77058e12 + 4.27456e12i 0.199501 + 0.481638i
\(755\) 3.60781e12 1.49440e12i 0.404094 0.167381i
\(756\) −2.76002e13 2.76002e13i −3.07302 3.07302i
\(757\) −1.50105e12 1.50105e12i −0.166136 0.166136i 0.619143 0.785279i \(-0.287480\pi\)
−0.785279 + 0.619143i \(0.787480\pi\)
\(758\) 7.89691e12 3.27101e12i 0.868852 0.359890i
\(759\) 1.84349e12 + 4.45059e12i 0.201629 + 0.486776i
\(760\) 1.61940e13 + 6.70776e12i 1.76073