Properties

Label 37.8.f.a.7.6
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.6
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.2275 + 4.81442i) q^{2} +(-57.0958 - 20.7812i) q^{3} +(53.7348 - 45.0888i) q^{4} +(-7.87815 - 44.6792i) q^{5} +855.285 q^{6} +(-278.049 - 1576.89i) q^{7} +(407.190 - 705.274i) q^{8} +(1152.74 + 967.261i) q^{9} +O(q^{10})\) \(q+(-13.2275 + 4.81442i) q^{2} +(-57.0958 - 20.7812i) q^{3} +(53.7348 - 45.0888i) q^{4} +(-7.87815 - 44.6792i) q^{5} +855.285 q^{6} +(-278.049 - 1576.89i) q^{7} +(407.190 - 705.274i) q^{8} +(1152.74 + 967.261i) q^{9} +(319.313 + 553.066i) q^{10} +(1344.72 - 2329.13i) q^{11} +(-4005.03 + 1457.71i) q^{12} +(-4206.05 + 3529.29i) q^{13} +(11269.7 + 19519.7i) q^{14} +(-478.677 + 2714.71i) q^{15} +(-3549.76 + 20131.7i) q^{16} +(-27050.7 - 22698.2i) q^{17} +(-19904.6 - 7244.70i) q^{18} +(-16136.8 - 5873.32i) q^{19} +(-2437.87 - 2045.61i) q^{20} +(-16894.3 + 95812.2i) q^{21} +(-6573.94 + 37282.7i) q^{22} +(-13139.7 - 22758.7i) q^{23} +(-37905.3 + 31806.3i) q^{24} +(71479.3 - 26016.3i) q^{25} +(38644.1 - 66933.5i) q^{26} +(20725.5 + 35897.7i) q^{27} +(-86041.2 - 72197.2i) q^{28} +(-46686.7 + 80863.7i) q^{29} +(-6738.07 - 38213.5i) q^{30} +108715. q^{31} +(-31866.7 - 180725. i) q^{32} +(-125180. + 105039. i) q^{33} +(467092. + 170008. i) q^{34} +(-68263.9 + 24846.0i) q^{35} +105555. q^{36} +(-261702. - 162616. i) q^{37} +241726. q^{38} +(313491. - 114101. i) q^{39} +(-34719.0 - 12636.7i) q^{40} +(-116780. + 97990.3i) q^{41} +(-237811. - 1.34869e6i) q^{42} +663760. q^{43} +(-32759.3 - 185787. i) q^{44} +(34135.0 - 59123.6i) q^{45} +(283376. + 237781. i) q^{46} +(-328370. - 568753. i) q^{47} +(621036. - 1.07567e6i) q^{48} +(-1.63541e6 + 595239. i) q^{49} +(-820240. + 688263. i) q^{50} +(1.07279e6 + 1.85812e6i) q^{51} +(-66879.4 + 379292. i) q^{52} +(-235892. + 1.33781e6i) q^{53} +(-446974. - 375056. i) q^{54} +(-114658. - 41732.0i) q^{55} +(-1.22536e6 - 445995. i) q^{56} +(799290. + 670684. i) q^{57} +(228237. - 1.29440e6i) q^{58} +(-351156. + 1.99151e6i) q^{59} +(96681.7 + 167458. i) q^{60} +(1.61070e6 - 1.35154e6i) q^{61} +(-1.43803e6 + 523401. i) q^{62} +(1.20475e6 - 2.08669e6i) q^{63} +(-16700.1 - 28925.5i) q^{64} +(190822. + 160119. i) q^{65} +(1.15012e6 - 1.99207e6i) q^{66} +(528270. + 2.99597e6i) q^{67} -2.47700e6 q^{68} +(277272. + 1.57249e6i) q^{69} +(783342. - 657302. i) q^{70} +(-1.16071e6 - 422464. i) q^{71} +(1.15157e6 - 419136. i) q^{72} +1.90049e6 q^{73} +(4.24457e6 + 891054. i) q^{74} -4.62182e6 q^{75} +(-1.13193e6 + 411988. i) q^{76} +(-4.04669e6 - 1.47287e6i) q^{77} +(-3.59737e6 + 3.01855e6i) q^{78} +(845112. + 4.79287e6i) q^{79} +927433. q^{80} +(-1.00882e6 - 5.72129e6i) q^{81} +(1.07295e6 - 1.85840e6i) q^{82} +(-2.08522e6 - 1.74971e6i) q^{83} +(3.41225e6 + 5.91020e6i) q^{84} +(-801030. + 1.38742e6i) q^{85} +(-8.77990e6 + 3.19562e6i) q^{86} +(4.34606e6 - 3.64678e6i) q^{87} +(-1.09512e6 - 1.89680e6i) q^{88} +(882377. - 5.00421e6i) q^{89} +(-166876. + 946399. i) q^{90} +(6.73481e6 + 5.65118e6i) q^{91} +(-1.73223e6 - 630479. i) q^{92} +(-6.20719e6 - 2.25923e6i) q^{93} +(7.08173e6 + 5.94228e6i) q^{94} +(-135287. + 767251. i) q^{95} +(-1.93622e6 + 1.09809e7i) q^{96} +(2.79677e6 + 4.84414e6i) q^{97} +(1.87666e7 - 1.57471e7i) q^{98} +(3.80299e6 - 1.38417e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} + O(q^{10}) \) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} - 6003 q^{10} - 15975 q^{11} - 4635 q^{12} - 15981 q^{13} - 13491 q^{14} + 38493 q^{15} - 74151 q^{16} + 37698 q^{17} - 20100 q^{18} - 66102 q^{19} - 176184 q^{20} - 142530 q^{21} + 132783 q^{22} + 140631 q^{23} - 38793 q^{24} - 544092 q^{25} - 423147 q^{26} + 130557 q^{27} + 603813 q^{28} + 22890 q^{29} - 319860 q^{30} - 1288044 q^{31} - 217866 q^{32} + 112344 q^{33} + 812019 q^{34} + 1479252 q^{35} + 8118132 q^{36} - 1664550 q^{37} + 305010 q^{38} - 1580340 q^{39} - 4681425 q^{40} - 2956593 q^{41} - 3553029 q^{42} - 1023528 q^{43} + 6409524 q^{44} + 1803336 q^{45} + 10219434 q^{46} - 2607204 q^{47} - 2984043 q^{48} - 6819531 q^{49} + 5724015 q^{50} - 1675833 q^{51} + 11768451 q^{52} + 2280177 q^{53} - 7803897 q^{54} - 3542196 q^{55} + 12168843 q^{56} - 85203 q^{57} - 12425487 q^{58} - 7014600 q^{59} + 2356788 q^{60} + 10840332 q^{61} + 6334368 q^{62} - 3331359 q^{63} - 26175624 q^{64} - 573195 q^{65} - 36720249 q^{66} + 6642918 q^{67} - 25277742 q^{68} - 1236438 q^{69} - 27401982 q^{70} + 20311041 q^{71} + 40093005 q^{72} + 38643780 q^{73} - 9531 q^{74} + 16639446 q^{75} + 5787405 q^{76} - 316971 q^{77} + 9363381 q^{78} + 17712534 q^{79} - 74410128 q^{80} - 10355109 q^{81} - 16702371 q^{82} - 31021176 q^{83} - 61626192 q^{84} + 23576445 q^{85} + 18579072 q^{86} + 104996631 q^{87} + 57279702 q^{88} - 13471320 q^{89} + 56306910 q^{90} - 2335911 q^{91} - 178133436 q^{92} + 24366258 q^{93} + 77086020 q^{94} - 26254407 q^{95} + 152523921 q^{96} + 14408415 q^{97} - 521205 q^{98} + 58375668 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.2275 + 4.81442i −1.16916 + 0.425539i −0.852361 0.522954i \(-0.824830\pi\)
−0.316798 + 0.948493i \(0.602608\pi\)
\(3\) −57.0958 20.7812i −1.22090 0.444371i −0.350428 0.936590i \(-0.613964\pi\)
−0.870472 + 0.492219i \(0.836186\pi\)
\(4\) 53.7348 45.0888i 0.419803 0.352257i
\(5\) −7.87815 44.6792i −0.0281857 0.159849i 0.967466 0.253000i \(-0.0814173\pi\)
−0.995652 + 0.0931507i \(0.970306\pi\)
\(6\) 855.285 1.61652
\(7\) −278.049 1576.89i −0.306392 1.73764i −0.616877 0.787060i \(-0.711602\pi\)
0.310484 0.950578i \(-0.399509\pi\)
\(8\) 407.190 705.274i 0.281179 0.487016i
\(9\) 1152.74 + 967.261i 0.527086 + 0.442278i
\(10\) 319.313 + 553.066i 0.100976 + 0.174895i
\(11\) 1344.72 2329.13i 0.304620 0.527617i −0.672557 0.740046i \(-0.734804\pi\)
0.977177 + 0.212428i \(0.0681372\pi\)
\(12\) −4005.03 + 1457.71i −0.669070 + 0.243522i
\(13\) −4206.05 + 3529.29i −0.530973 + 0.445539i −0.868437 0.495799i \(-0.834875\pi\)
0.337464 + 0.941338i \(0.390431\pi\)
\(14\) 11269.7 + 19519.7i 1.09765 + 1.90119i
\(15\) −478.677 + 2714.71i −0.0366204 + 0.207685i
\(16\) −3549.76 + 20131.7i −0.216660 + 1.22874i
\(17\) −27050.7 22698.2i −1.33539 1.12052i −0.982786 0.184749i \(-0.940853\pi\)
−0.352602 0.935774i \(-0.614703\pi\)
\(18\) −19904.6 7244.70i −0.804453 0.292797i
\(19\) −16136.8 5873.32i −0.539734 0.196447i 0.0577453 0.998331i \(-0.481609\pi\)
−0.597480 + 0.801884i \(0.703831\pi\)
\(20\) −2437.87 2045.61i −0.0681404 0.0571766i
\(21\) −16894.3 + 95812.2i −0.398082 + 2.25763i
\(22\) −6573.94 + 37282.7i −0.131627 + 0.746496i
\(23\) −13139.7 22758.7i −0.225185 0.390032i 0.731190 0.682174i \(-0.238965\pi\)
−0.956375 + 0.292142i \(0.905632\pi\)
\(24\) −37905.3 + 31806.3i −0.559707 + 0.469650i
\(25\) 71479.3 26016.3i 0.914935 0.333009i
\(26\) 38644.1 66933.5i 0.431197 0.746856i
\(27\) 20725.5 + 35897.7i 0.202644 + 0.350989i
\(28\) −86041.2 72197.2i −0.740719 0.621537i
\(29\) −46686.7 + 80863.7i −0.355468 + 0.615688i −0.987198 0.159500i \(-0.949012\pi\)
0.631730 + 0.775188i \(0.282345\pi\)
\(30\) −6738.07 38213.5i −0.0455629 0.258400i
\(31\) 108715. 0.655427 0.327714 0.944777i \(-0.393722\pi\)
0.327714 + 0.944777i \(0.393722\pi\)
\(32\) −31866.7 180725.i −0.171914 0.974974i
\(33\) −125180. + 105039.i −0.606368 + 0.508804i
\(34\) 467092. + 170008.i 2.03810 + 0.741809i
\(35\) −68263.9 + 24846.0i −0.269124 + 0.0979532i
\(36\) 105555. 0.377067
\(37\) −261702. 162616.i −0.849379 0.527784i
\(38\) 241726. 0.714630
\(39\) 313491. 114101.i 0.846250 0.308010i
\(40\) −34719.0 12636.7i −0.0857743 0.0312193i
\(41\) −116780. + 97990.3i −0.264622 + 0.222044i −0.765438 0.643509i \(-0.777478\pi\)
0.500816 + 0.865554i \(0.333033\pi\)
\(42\) −237811. 1.34869e6i −0.495290 2.80893i
\(43\) 663760. 1.27313 0.636563 0.771225i \(-0.280355\pi\)
0.636563 + 0.771225i \(0.280355\pi\)
\(44\) −32759.3 185787.i −0.0579763 0.328800i
\(45\) 34135.0 59123.6i 0.0558414 0.0967202i
\(46\) 283376. + 237781.i 0.429251 + 0.360184i
\(47\) −328370. 568753.i −0.461339 0.799063i 0.537689 0.843144i \(-0.319298\pi\)
−0.999028 + 0.0440802i \(0.985964\pi\)
\(48\) 621036. 1.07567e6i 0.810536 1.40389i
\(49\) −1.63541e6 + 595239.i −1.98582 + 0.722778i
\(50\) −820240. + 688263.i −0.927996 + 0.778681i
\(51\) 1.07279e6 + 1.85812e6i 1.13245 + 1.96145i
\(52\) −66879.4 + 379292.i −0.0659600 + 0.374078i
\(53\) −235892. + 1.33781e6i −0.217644 + 1.23432i 0.658614 + 0.752481i \(0.271143\pi\)
−0.876259 + 0.481841i \(0.839968\pi\)
\(54\) −446974. 375056.i −0.386282 0.324129i
\(55\) −114658. 41732.0i −0.0929252 0.0338220i
\(56\) −1.22536e6 445995.i −0.932408 0.339369i
\(57\) 799290. + 670684.i 0.571666 + 0.479685i
\(58\) 228237. 1.29440e6i 0.153599 0.871102i
\(59\) −351156. + 1.99151e6i −0.222597 + 1.26241i 0.644630 + 0.764495i \(0.277011\pi\)
−0.867227 + 0.497913i \(0.834100\pi\)
\(60\) 96681.7 + 167458.i 0.0577850 + 0.100087i
\(61\) 1.61070e6 1.35154e6i 0.908577 0.762386i −0.0632710 0.997996i \(-0.520153\pi\)
0.971848 + 0.235610i \(0.0757088\pi\)
\(62\) −1.43803e6 + 523401.i −0.766298 + 0.278910i
\(63\) 1.20475e6 2.08669e6i 0.607023 1.05139i
\(64\) −16700.1 28925.5i −0.00796324 0.0137927i
\(65\) 190822. + 160119.i 0.0861850 + 0.0723178i
\(66\) 1.15012e6 1.99207e6i 0.492425 0.852905i
\(67\) 528270. + 2.99597e6i 0.214583 + 1.21696i 0.881629 + 0.471942i \(0.156447\pi\)
−0.667047 + 0.745016i \(0.732442\pi\)
\(68\) −2.47700e6 −0.955311
\(69\) 277272. + 1.57249e6i 0.101609 + 0.576256i
\(70\) 783342. 657302.i 0.272966 0.229046i
\(71\) −1.16071e6 422464.i −0.384875 0.140083i 0.142334 0.989819i \(-0.454539\pi\)
−0.527209 + 0.849736i \(0.676762\pi\)
\(72\) 1.15157e6 419136.i 0.363601 0.132340i
\(73\) 1.90049e6 0.571788 0.285894 0.958261i \(-0.407709\pi\)
0.285894 + 0.958261i \(0.407709\pi\)
\(74\) 4.24457e6 + 891054.i 1.21765 + 0.255619i
\(75\) −4.62182e6 −1.26502
\(76\) −1.13193e6 + 411988.i −0.295782 + 0.107656i
\(77\) −4.04669e6 1.47287e6i −1.01014 0.367661i
\(78\) −3.59737e6 + 3.01855e6i −0.858330 + 0.720224i
\(79\) 845112. + 4.79287e6i 0.192850 + 1.09371i 0.915447 + 0.402437i \(0.131837\pi\)
−0.722598 + 0.691269i \(0.757052\pi\)
\(80\) 927433. 0.202520
\(81\) −1.00882e6 5.72129e6i −0.210919 1.19618i
\(82\) 1.07295e6 1.85840e6i 0.214897 0.372212i
\(83\) −2.08522e6 1.74971e6i −0.400293 0.335886i 0.420314 0.907379i \(-0.361920\pi\)
−0.820607 + 0.571493i \(0.806364\pi\)
\(84\) 3.41225e6 + 5.91020e6i 0.628151 + 1.08799i
\(85\) −801030. + 1.38742e6i −0.141476 + 0.245043i
\(86\) −8.77990e6 + 3.19562e6i −1.48849 + 0.541765i
\(87\) 4.34606e6 3.64678e6i 0.707584 0.593734i
\(88\) −1.09512e6 1.89680e6i −0.171305 0.296710i
\(89\) 882377. 5.00421e6i 0.132675 0.752437i −0.843776 0.536696i \(-0.819672\pi\)
0.976451 0.215741i \(-0.0692167\pi\)
\(90\) −166876. + 946399.i −0.0241293 + 0.136844i
\(91\) 6.73481e6 + 5.65118e6i 0.936872 + 0.786129i
\(92\) −1.73223e6 630479.i −0.231925 0.0844137i
\(93\) −6.20719e6 2.25923e6i −0.800211 0.291253i
\(94\) 7.08173e6 + 5.94228e6i 0.879411 + 0.737914i
\(95\) −135287. + 767251.i −0.0161891 + 0.0918131i
\(96\) −1.93622e6 + 1.09809e7i −0.223360 + 1.26674i
\(97\) 2.79677e6 + 4.84414e6i 0.311140 + 0.538910i 0.978609 0.205727i \(-0.0659560\pi\)
−0.667470 + 0.744637i \(0.732623\pi\)
\(98\) 1.87666e7 1.57471e7i 2.01416 1.69008i
\(99\) 3.80299e6 1.38417e6i 0.393914 0.143373i
\(100\) 2.66788e6 4.62090e6i 0.266788 0.462090i
\(101\) −3.12774e6 5.41740e6i −0.302069 0.523198i 0.674536 0.738242i \(-0.264344\pi\)
−0.976604 + 0.215044i \(0.931011\pi\)
\(102\) −2.31361e7 1.94135e7i −2.15868 1.81135i
\(103\) 8.02721e6 1.39035e7i 0.723826 1.25370i −0.235629 0.971843i \(-0.575715\pi\)
0.959455 0.281861i \(-0.0909517\pi\)
\(104\) 776458. + 4.40351e6i 0.0676864 + 0.383869i
\(105\) 4.41391e6 0.372101
\(106\) −3.32051e6 1.88316e7i −0.270791 1.53573i
\(107\) 7.15408e6 6.00299e6i 0.564561 0.473723i −0.315275 0.949000i \(-0.602097\pi\)
0.879836 + 0.475278i \(0.157652\pi\)
\(108\) 2.73227e6 + 994465.i 0.208709 + 0.0759637i
\(109\) 1.13942e7 4.14714e6i 0.842732 0.306730i 0.115659 0.993289i \(-0.463102\pi\)
0.727074 + 0.686559i \(0.240880\pi\)
\(110\) 1.71755e6 0.123037
\(111\) 1.15628e7 + 1.47231e7i 0.802474 + 1.02181i
\(112\) 3.27325e7 2.20149
\(113\) −2.32624e7 + 8.46684e6i −1.51663 + 0.552010i −0.960305 0.278952i \(-0.910013\pi\)
−0.556329 + 0.830962i \(0.687791\pi\)
\(114\) −1.38016e7 5.02336e6i −0.872492 0.317561i
\(115\) −913324. + 766370.i −0.0559993 + 0.0469890i
\(116\) 1.13735e6 + 6.45024e6i 0.0676537 + 0.383683i
\(117\) −8.26222e6 −0.476921
\(118\) −4.94303e6 2.80333e7i −0.276953 1.57068i
\(119\) −2.82713e7 + 4.89673e7i −1.53791 + 2.66374i
\(120\) 1.71971e6 + 1.44300e6i 0.0908489 + 0.0762313i
\(121\) 6.12702e6 + 1.06123e7i 0.314413 + 0.544580i
\(122\) −1.47987e7 + 2.56322e7i −0.737845 + 1.27798i
\(123\) 8.70402e6 3.16800e6i 0.421747 0.153503i
\(124\) 5.84179e6 4.90185e6i 0.275150 0.230879i
\(125\) −3.49772e6 6.05823e6i −0.160177 0.277435i
\(126\) −5.88965e6 + 3.34019e7i −0.262297 + 1.48756i
\(127\) −4.05596e6 + 2.30025e7i −0.175703 + 0.996463i 0.761626 + 0.648017i \(0.224402\pi\)
−0.937329 + 0.348446i \(0.886709\pi\)
\(128\) 1.83543e7 + 1.54011e7i 0.773575 + 0.649106i
\(129\) −3.78979e7 1.37937e7i −1.55436 0.565741i
\(130\) −3.29498e6 1.19927e6i −0.131538 0.0478759i
\(131\) −4.34513e6 3.64600e6i −0.168870 0.141699i 0.554436 0.832226i \(-0.312934\pi\)
−0.723306 + 0.690527i \(0.757379\pi\)
\(132\) −1.99046e6 + 1.12885e7i −0.0753259 + 0.427195i
\(133\) −4.77478e6 + 2.70791e7i −0.175984 + 0.998053i
\(134\) −2.14116e7 3.70859e7i −0.768744 1.33150i
\(135\) 1.44060e6 1.20881e6i 0.0503937 0.0422853i
\(136\) −2.70233e7 + 9.83566e6i −0.921195 + 0.335287i
\(137\) 2.86443e7 4.96133e7i 0.951734 1.64845i 0.210063 0.977688i \(-0.432633\pi\)
0.741671 0.670764i \(-0.234033\pi\)
\(138\) −1.12382e7 1.94652e7i −0.364017 0.630495i
\(139\) −3.74820e6 3.14511e6i −0.118378 0.0993309i 0.581677 0.813420i \(-0.302397\pi\)
−0.700055 + 0.714089i \(0.746841\pi\)
\(140\) −2.54787e6 + 4.41304e6i −0.0784745 + 0.135922i
\(141\) 6.92918e6 + 3.92973e7i 0.208168 + 1.18058i
\(142\) 1.73872e7 0.509590
\(143\) 2.56421e6 + 1.45424e7i 0.0733293 + 0.415871i
\(144\) −2.35645e7 + 1.97730e7i −0.657642 + 0.551827i
\(145\) 3.98073e6 + 1.44887e6i 0.108436 + 0.0394676i
\(146\) −2.51387e7 + 9.14975e6i −0.668511 + 0.243318i
\(147\) 1.05745e8 2.74567
\(148\) −2.13947e7 + 3.06174e6i −0.542487 + 0.0776341i
\(149\) −5.13004e7 −1.27048 −0.635242 0.772313i \(-0.719099\pi\)
−0.635242 + 0.772313i \(0.719099\pi\)
\(150\) 6.11352e7 2.22514e7i 1.47901 0.538317i
\(151\) −2.52982e7 9.20780e6i −0.597958 0.217639i 0.0252680 0.999681i \(-0.491956\pi\)
−0.623226 + 0.782042i \(0.714178\pi\)
\(152\) −1.07130e7 + 8.98931e6i −0.247435 + 0.207622i
\(153\) −9.22722e6 5.23302e7i −0.208282 1.18122i
\(154\) 6.06187e7 1.33747
\(155\) −856475. 4.85731e6i −0.0184737 0.104770i
\(156\) 1.17007e7 2.02661e7i 0.246760 0.427401i
\(157\) −1.45443e7 1.22041e7i −0.299947 0.251686i 0.480375 0.877063i \(-0.340501\pi\)
−0.780322 + 0.625377i \(0.784945\pi\)
\(158\) −3.42536e7 5.93290e7i −0.690887 1.19665i
\(159\) 4.12697e7 7.14812e7i 0.814219 1.41027i
\(160\) −7.82360e6 + 2.84756e6i −0.151003 + 0.0549607i
\(161\) −3.22346e7 + 2.70480e7i −0.608739 + 0.510793i
\(162\) 4.08889e7 + 7.08216e7i 0.755618 + 1.30877i
\(163\) 1.35511e7 7.68523e7i 0.245086 1.38995i −0.575206 0.818008i \(-0.695078\pi\)
0.820292 0.571944i \(-0.193811\pi\)
\(164\) −1.85690e6 + 1.05310e7i −0.0328726 + 0.186430i
\(165\) 5.67923e6 + 4.76544e6i 0.0984228 + 0.0825865i
\(166\) 3.60061e7 + 1.31051e7i 0.610938 + 0.222363i
\(167\) 6.90136e7 + 2.51189e7i 1.14664 + 0.417343i 0.844307 0.535860i \(-0.180012\pi\)
0.302333 + 0.953202i \(0.402235\pi\)
\(168\) 6.06947e7 + 5.09289e7i 0.987571 + 0.828671i
\(169\) −5.66124e6 + 3.21065e7i −0.0902210 + 0.511669i
\(170\) 3.91599e6 2.22087e7i 0.0611322 0.346698i
\(171\) −1.29205e7 2.23789e7i −0.197602 0.342257i
\(172\) 3.56670e7 2.99282e7i 0.534462 0.448467i
\(173\) −3.87386e7 + 1.40997e7i −0.568830 + 0.207037i −0.610393 0.792099i \(-0.708989\pi\)
0.0415630 + 0.999136i \(0.486766\pi\)
\(174\) −3.99304e7 + 6.91615e7i −0.574621 + 0.995273i
\(175\) −6.08998e7 1.05481e8i −0.858979 1.48779i
\(176\) 4.21158e7 + 3.53394e7i 0.582305 + 0.488612i
\(177\) 6.14354e7 1.06409e8i 0.832746 1.44236i
\(178\) 1.24207e7 + 7.04414e7i 0.165073 + 0.936176i
\(179\) 6.87582e6 0.0896064 0.0448032 0.998996i \(-0.485734\pi\)
0.0448032 + 0.998996i \(0.485734\pi\)
\(180\) −831576. 4.71610e6i −0.0106279 0.0602739i
\(181\) −4.42302e7 + 3.71136e7i −0.554427 + 0.465219i −0.876437 0.481517i \(-0.840086\pi\)
0.322010 + 0.946736i \(0.395642\pi\)
\(182\) −1.16292e8 4.23268e7i −1.42988 0.520434i
\(183\) −1.20051e8 + 4.36951e7i −1.44806 + 0.527052i
\(184\) −2.14015e7 −0.253269
\(185\) −5.20380e6 + 1.29738e7i −0.0604255 + 0.150649i
\(186\) 9.29826e7 1.05951
\(187\) −8.92428e7 + 3.24817e7i −0.997993 + 0.363240i
\(188\) −4.32893e7 1.57560e7i −0.475147 0.172939i
\(189\) 5.08442e7 4.26633e7i 0.547803 0.459662i
\(190\) −1.90436e6 1.08001e7i −0.0201424 0.114233i
\(191\) −2.12806e7 −0.220987 −0.110494 0.993877i \(-0.535243\pi\)
−0.110494 + 0.993877i \(0.535243\pi\)
\(192\) 352402. + 1.99857e6i 0.00359322 + 0.0203782i
\(193\) 5.83695e7 1.01099e8i 0.584434 1.01227i −0.410512 0.911855i \(-0.634650\pi\)
0.994946 0.100414i \(-0.0320167\pi\)
\(194\) −6.03160e7 5.06112e7i −0.593098 0.497669i
\(195\) −7.56768e6 1.31076e7i −0.0730873 0.126591i
\(196\) −6.10396e7 + 1.05724e8i −0.579049 + 1.00294i
\(197\) 5.31856e7 1.93580e7i 0.495635 0.180396i −0.0820946 0.996625i \(-0.526161\pi\)
0.577730 + 0.816228i \(0.303939\pi\)
\(198\) −4.36401e7 + 3.66184e7i −0.399537 + 0.335252i
\(199\) 4.72855e7 + 8.19009e7i 0.425346 + 0.736721i 0.996453 0.0841552i \(-0.0268192\pi\)
−0.571107 + 0.820876i \(0.693486\pi\)
\(200\) 1.07570e7 6.10061e7i 0.0950796 0.539223i
\(201\) 3.20978e7 1.82035e8i 0.278797 1.58114i
\(202\) 6.74539e7 + 5.66005e7i 0.575807 + 0.483160i
\(203\) 1.40495e8 + 5.11359e7i 1.17876 + 0.429032i
\(204\) 1.41426e8 + 5.14750e7i 1.16634 + 0.424513i
\(205\) 5.29814e6 + 4.44567e6i 0.0429522 + 0.0360411i
\(206\) −3.92426e7 + 2.22556e8i −0.312768 + 1.77379i
\(207\) 6.86694e6 3.89444e7i 0.0538105 0.305175i
\(208\) −5.61201e7 9.72029e7i −0.432411 0.748958i
\(209\) −3.53792e7 + 2.96867e7i −0.268063 + 0.224931i
\(210\) −5.83851e7 + 2.12504e7i −0.435045 + 0.158344i
\(211\) −9.01135e7 + 1.56081e8i −0.660392 + 1.14383i 0.320121 + 0.947377i \(0.396276\pi\)
−0.980513 + 0.196455i \(0.937057\pi\)
\(212\) 4.76446e7 + 8.25229e7i 0.343430 + 0.594839i
\(213\) 5.74924e7 + 4.82419e7i 0.407645 + 0.342055i
\(214\) −6.57298e7 + 1.13847e8i −0.458473 + 0.794099i
\(215\) −5.22920e6 2.96563e7i −0.0358840 0.203508i
\(216\) 3.37570e7 0.227916
\(217\) −3.02282e7 1.71432e8i −0.200818 1.13890i
\(218\) −1.30750e8 + 1.09713e8i −0.854762 + 0.717231i
\(219\) −1.08510e8 3.94944e7i −0.698096 0.254086i
\(220\) −8.04275e6 + 2.92732e6i −0.0509243 + 0.0185349i
\(221\) 1.93885e8 1.20829
\(222\) −2.23830e8 1.39083e8i −1.37304 0.853174i
\(223\) −1.85751e8 −1.12167 −0.560833 0.827929i \(-0.689519\pi\)
−0.560833 + 0.827929i \(0.689519\pi\)
\(224\) −2.76123e8 + 1.00501e8i −1.64148 + 0.597449i
\(225\) 1.07561e8 + 3.91492e7i 0.629532 + 0.229131i
\(226\) 2.66941e8 2.23990e8i 1.53828 1.29077i
\(227\) −1.76308e7 9.99892e7i −0.100042 0.567365i −0.993085 0.117395i \(-0.962546\pi\)
0.893044 0.449970i \(-0.148565\pi\)
\(228\) 7.31900e7 0.408959
\(229\) 5.70563e7 + 3.23582e8i 0.313964 + 1.78058i 0.577972 + 0.816057i \(0.303844\pi\)
−0.264008 + 0.964520i \(0.585045\pi\)
\(230\) 8.39138e6 1.45343e7i 0.0454764 0.0787674i
\(231\) 2.00441e8 + 1.68190e8i 1.06990 + 0.897755i
\(232\) 3.80207e7 + 6.58538e7i 0.199900 + 0.346237i
\(233\) −1.50293e8 + 2.60315e8i −0.778381 + 1.34820i 0.154493 + 0.987994i \(0.450626\pi\)
−0.932874 + 0.360202i \(0.882708\pi\)
\(234\) 1.09289e8 3.97778e7i 0.557595 0.202948i
\(235\) −2.28245e7 + 1.91520e7i −0.114726 + 0.0962669i
\(236\) 7.09254e7 + 1.22846e8i 0.351245 + 0.608374i
\(237\) 5.13491e7 2.91215e8i 0.250561 1.42100i
\(238\) 1.38210e8 7.83825e8i 0.664536 3.76877i
\(239\) 1.75303e8 + 1.47097e8i 0.830611 + 0.696965i 0.955431 0.295214i \(-0.0953911\pi\)
−0.124820 + 0.992179i \(0.539835\pi\)
\(240\) −5.29525e7 1.92731e7i −0.247256 0.0899939i
\(241\) −2.88231e8 1.04908e8i −1.32642 0.482778i −0.420910 0.907102i \(-0.638289\pi\)
−0.905510 + 0.424325i \(0.860512\pi\)
\(242\) −1.32137e8 1.10877e8i −0.599339 0.502905i
\(243\) −4.55541e7 + 2.58350e8i −0.203660 + 1.15501i
\(244\) 2.56114e7 1.45250e8i 0.112868 0.640104i
\(245\) 3.94788e7 + 6.83793e7i 0.171507 + 0.297059i
\(246\) −9.98805e7 + 8.38096e7i −0.427767 + 0.358939i
\(247\) 8.86008e7 3.22481e7i 0.374109 0.136165i
\(248\) 4.42678e7 7.66741e7i 0.184292 0.319204i
\(249\) 8.26963e7 + 1.43234e8i 0.339460 + 0.587961i
\(250\) 7.54330e7 + 6.32958e7i 0.305331 + 0.256203i
\(251\) 7.68489e7 1.33106e8i 0.306747 0.531301i −0.670902 0.741546i \(-0.734093\pi\)
0.977649 + 0.210245i \(0.0674263\pi\)
\(252\) −2.93494e7 1.66449e8i −0.115531 0.655207i
\(253\) −7.06773e7 −0.274384
\(254\) −5.70934e7 3.23793e8i −0.218609 1.23979i
\(255\) 7.45678e7 6.25698e7i 0.281618 0.236306i
\(256\) −3.12911e8 1.13890e8i −1.16569 0.424275i
\(257\) −4.17680e8 + 1.52023e8i −1.53489 + 0.558655i −0.964813 0.262935i \(-0.915309\pi\)
−0.570078 + 0.821590i \(0.693087\pi\)
\(258\) 5.67704e8 2.05804
\(259\) −1.83661e8 + 4.57892e8i −0.656854 + 1.63762i
\(260\) 1.74733e7 0.0616552
\(261\) −1.32034e8 + 4.80564e7i −0.459667 + 0.167305i
\(262\) 7.50287e7 + 2.73082e7i 0.257735 + 0.0938077i
\(263\) −2.44626e8 + 2.05266e8i −0.829198 + 0.695779i −0.955107 0.296262i \(-0.904260\pi\)
0.125909 + 0.992042i \(0.459815\pi\)
\(264\) 2.31089e7 + 1.31057e8i 0.0772975 + 0.438376i
\(265\) 6.16306e7 0.203440
\(266\) −6.72118e7 3.81177e8i −0.218957 1.24177i
\(267\) −1.54373e8 + 2.67383e8i −0.496344 + 0.859693i
\(268\) 1.63471e8 + 1.37169e8i 0.518764 + 0.435295i
\(269\) −8.52638e7 1.47681e8i −0.267074 0.462586i 0.701031 0.713131i \(-0.252724\pi\)
−0.968105 + 0.250545i \(0.919390\pi\)
\(270\) −1.32359e7 + 2.29252e7i −0.0409241 + 0.0708827i
\(271\) 4.63759e8 1.68795e8i 1.41547 0.515188i 0.482738 0.875765i \(-0.339642\pi\)
0.932730 + 0.360576i \(0.117420\pi\)
\(272\) 5.52977e8 4.64002e8i 1.66616 1.39807i
\(273\) −2.67091e8 4.62616e8i −0.794494 1.37610i
\(274\) −1.40033e8 + 7.94166e8i −0.411247 + 2.33230i
\(275\) 3.55245e7 2.01469e8i 0.103006 0.584177i
\(276\) 8.58008e7 + 7.19954e7i 0.245646 + 0.206121i
\(277\) 5.99658e8 + 2.18258e8i 1.69521 + 0.617007i 0.995266 0.0971875i \(-0.0309846\pi\)
0.699947 + 0.714195i \(0.253207\pi\)
\(278\) 6.47212e7 + 2.35566e7i 0.180672 + 0.0657591i
\(279\) 1.25320e8 + 1.05156e8i 0.345467 + 0.289881i
\(280\) −1.02731e7 + 5.82618e7i −0.0279672 + 0.158610i
\(281\) 7.71659e7 4.37629e8i 0.207469 1.17662i −0.686038 0.727566i \(-0.740652\pi\)
0.893507 0.449049i \(-0.148237\pi\)
\(282\) −2.80850e8 4.86446e8i −0.745765 1.29170i
\(283\) 2.54138e8 2.13247e8i 0.666527 0.559283i −0.245508 0.969395i \(-0.578955\pi\)
0.912035 + 0.410112i \(0.134510\pi\)
\(284\) −8.14190e7 + 2.96341e7i −0.210917 + 0.0767675i
\(285\) 2.36687e7 4.09954e7i 0.0605644 0.104901i
\(286\) −1.03931e8 1.80014e8i −0.262703 0.455014i
\(287\) 1.86991e8 + 1.56904e8i 0.466911 + 0.391785i
\(288\) 1.38074e8 2.39152e8i 0.340596 0.589929i
\(289\) 1.45276e8 + 8.23901e8i 0.354039 + 2.00786i
\(290\) −5.96306e7 −0.143574
\(291\) −5.90167e7 3.34700e8i −0.140394 0.796216i
\(292\) 1.02122e8 8.56908e7i 0.240038 0.201416i
\(293\) −1.72917e8 6.29366e7i −0.401607 0.146173i 0.133317 0.991074i \(-0.457437\pi\)
−0.534923 + 0.844901i \(0.679660\pi\)
\(294\) −1.39874e9 + 5.09099e8i −3.21012 + 1.16839i
\(295\) 9.17454e7 0.208069
\(296\) −2.21251e8 + 1.18356e8i −0.495866 + 0.265259i
\(297\) 1.11481e8 0.246917
\(298\) 6.78577e8 2.46982e8i 1.48540 0.540640i
\(299\) 1.35589e8 + 4.93502e7i 0.293342 + 0.106768i
\(300\) −2.48353e8 + 2.08393e8i −0.531061 + 0.445613i
\(301\) −1.84558e8 1.04668e9i −0.390076 2.21223i
\(302\) 3.78963e8 0.791721
\(303\) 6.60008e7 + 3.74309e8i 0.136301 + 0.773003i
\(304\) 1.75521e8 3.04012e8i 0.358321 0.620630i
\(305\) −7.30752e7 6.13174e7i −0.147476 0.123747i
\(306\) 3.73993e8 + 6.47774e8i 0.746170 + 1.29241i
\(307\) −4.05553e7 + 7.02439e7i −0.0799952 + 0.138556i −0.903248 0.429120i \(-0.858824\pi\)
0.823252 + 0.567675i \(0.192157\pi\)
\(308\) −2.83858e8 + 1.03316e8i −0.553572 + 0.201484i
\(309\) −7.47252e8 + 6.27019e8i −1.44083 + 1.20900i
\(310\) 3.47142e7 + 6.01268e7i 0.0661822 + 0.114631i
\(311\) 8.48758e7 4.81354e8i 0.160001 0.907410i −0.794069 0.607827i \(-0.792041\pi\)
0.954070 0.299583i \(-0.0968475\pi\)
\(312\) 4.71777e7 2.67558e8i 0.0879418 0.498743i
\(313\) −2.82430e8 2.36987e8i −0.520602 0.436837i 0.344239 0.938882i \(-0.388137\pi\)
−0.864842 + 0.502045i \(0.832581\pi\)
\(314\) 2.51141e8 + 9.14079e7i 0.457788 + 0.166621i
\(315\) −1.02723e8 3.73881e7i −0.185174 0.0673979i
\(316\) 2.61517e8 + 2.19439e8i 0.466224 + 0.391209i
\(317\) 9.91905e6 5.62537e7i 0.0174889 0.0991845i −0.974814 0.223020i \(-0.928408\pi\)
0.992303 + 0.123836i \(0.0395196\pi\)
\(318\) −2.01755e8 + 1.14421e9i −0.351827 + 1.99531i
\(319\) 1.25561e8 + 2.17479e8i 0.216565 + 0.375102i
\(320\) −1.16080e6 + 974027.i −0.00198031 + 0.00166168i
\(321\) −5.33217e8 + 1.94075e8i −0.899781 + 0.327493i
\(322\) 2.96163e8 5.12969e8i 0.494350 0.856240i
\(323\) 3.03198e8 + 5.25154e8i 0.500631 + 0.867118i
\(324\) −3.12175e8 2.61946e8i −0.509907 0.427862i
\(325\) −2.08826e8 + 3.61698e8i −0.337437 + 0.584459i
\(326\) 1.90751e8 + 1.08181e9i 0.304934 + 1.72937i
\(327\) −7.36742e8 −1.16519
\(328\) 2.15582e7 + 1.22263e8i 0.0337330 + 0.191309i
\(329\) −8.05560e8 + 6.75945e8i −1.24713 + 1.04647i
\(330\) −9.80649e7 3.56927e7i −0.150216 0.0546740i
\(331\) 2.24290e8 8.16347e7i 0.339947 0.123731i −0.166405 0.986057i \(-0.553216\pi\)
0.506352 + 0.862327i \(0.330994\pi\)
\(332\) −1.90941e8 −0.286362
\(333\) −1.44382e8 4.40587e8i −0.214269 0.653848i
\(334\) −1.03381e9 −1.51820
\(335\) 1.29696e8 4.72054e7i 0.188482 0.0686017i
\(336\) −1.86889e9 6.80220e8i −2.68780 0.978277i
\(337\) −5.46510e8 + 4.58576e8i −0.777845 + 0.652690i −0.942705 0.333627i \(-0.891727\pi\)
0.164860 + 0.986317i \(0.447283\pi\)
\(338\) −7.96900e7 4.51944e8i −0.112252 0.636614i
\(339\) 1.50414e9 2.09696
\(340\) 1.95142e7 + 1.10670e8i 0.0269261 + 0.152706i
\(341\) 1.46192e8 2.53212e8i 0.199656 0.345815i
\(342\) 2.78647e8 + 2.33813e8i 0.376672 + 0.316065i
\(343\) 7.34015e8 + 1.27135e9i 0.982145 + 1.70112i
\(344\) 2.70277e8 4.68133e8i 0.357976 0.620033i
\(345\) 6.80731e7 2.47766e7i 0.0892501 0.0324844i
\(346\) 4.44534e8 3.73008e8i 0.576950 0.484119i
\(347\) 4.61047e8 + 7.98557e8i 0.592369 + 1.02601i 0.993912 + 0.110173i \(0.0351406\pi\)
−0.401543 + 0.915840i \(0.631526\pi\)
\(348\) 6.91056e7 3.91917e8i 0.0878994 0.498502i
\(349\) 1.26307e8 7.16323e8i 0.159052 0.902028i −0.795935 0.605382i \(-0.793021\pi\)
0.954987 0.296647i \(-0.0958684\pi\)
\(350\) 1.31338e9 + 1.10206e9i 1.63740 + 1.37394i
\(351\) −2.13866e8 7.78409e7i −0.263978 0.0960800i
\(352\) −4.63783e8 1.68803e8i −0.566782 0.206292i
\(353\) −8.38217e8 7.03347e8i −1.01425 0.851056i −0.0253556 0.999678i \(-0.508072\pi\)
−0.988894 + 0.148622i \(0.952516\pi\)
\(354\) −3.00339e8 + 1.70331e9i −0.359832 + 2.04071i
\(355\) −9.73111e6 + 5.51879e7i −0.0115442 + 0.0654703i
\(356\) −1.78220e8 3.08685e8i −0.209354 0.362611i
\(357\) 2.63177e9 2.20832e9i 3.06132 2.56876i
\(358\) −9.09501e7 + 3.31031e7i −0.104764 + 0.0381310i
\(359\) 7.65998e8 1.32675e9i 0.873770 1.51341i 0.0157021 0.999877i \(-0.495002\pi\)
0.858068 0.513537i \(-0.171665\pi\)
\(360\) −2.77989e7 4.81491e7i −0.0314028 0.0543913i
\(361\) −4.58845e8 3.85017e8i −0.513323 0.430729i
\(362\) 4.06376e8 7.03863e8i 0.450244 0.779845i
\(363\) −1.29291e8 7.33246e8i −0.141872 0.804593i
\(364\) 6.16699e8 0.670221
\(365\) −1.49723e7 8.49123e7i −0.0161163 0.0913999i
\(366\) 1.37761e9 1.15595e9i 1.46873 1.23241i
\(367\) −9.12178e8 3.32006e8i −0.963271 0.350602i −0.187957 0.982177i \(-0.560186\pi\)
−0.775315 + 0.631575i \(0.782409\pi\)
\(368\) 5.04814e8 1.83737e8i 0.528036 0.192189i
\(369\) −2.29399e8 −0.237684
\(370\) 6.37224e6 1.96664e8i 0.00654012 0.201845i
\(371\) 2.17517e9 2.21149
\(372\) −4.35408e8 + 1.58476e8i −0.438527 + 0.159611i
\(373\) −1.57805e9 5.74362e8i −1.57449 0.573067i −0.600491 0.799631i \(-0.705028\pi\)
−0.973996 + 0.226565i \(0.927251\pi\)
\(374\) 1.02408e9 8.59305e8i 1.01224 0.849370i
\(375\) 7.38081e7 + 4.18586e8i 0.0722761 + 0.409898i
\(376\) −5.34836e8 −0.518875
\(377\) −8.90253e7 5.04888e8i −0.0855695 0.485289i
\(378\) −4.67143e8 + 8.09115e8i −0.444865 + 0.770529i
\(379\) −9.23438e7 7.74856e7i −0.0871305 0.0731112i 0.598182 0.801360i \(-0.295890\pi\)
−0.685313 + 0.728249i \(0.740334\pi\)
\(380\) 2.73248e7 + 4.73280e7i 0.0255455 + 0.0442462i
\(381\) 7.09596e8 1.22906e9i 0.657316 1.13850i
\(382\) 2.81489e8 1.02454e8i 0.258369 0.0940386i
\(383\) −1.22467e9 + 1.02762e9i −1.11385 + 0.934627i −0.998277 0.0586725i \(-0.981313\pi\)
−0.115568 + 0.993300i \(0.536869\pi\)
\(384\) −7.27900e8 1.26076e9i −0.656013 1.13625i
\(385\) −3.39264e7 + 1.92406e8i −0.0302988 + 0.171833i
\(386\) −2.85350e8 + 1.61830e9i −0.252536 + 1.43220i
\(387\) 7.65141e8 + 6.42029e8i 0.671047 + 0.563075i
\(388\) 3.68701e8 + 1.34196e8i 0.320452 + 0.116635i
\(389\) −1.42396e9 5.18280e8i −1.22652 0.446417i −0.354116 0.935201i \(-0.615218\pi\)
−0.872405 + 0.488784i \(0.837441\pi\)
\(390\) 1.63207e8 + 1.36947e8i 0.139320 + 0.116903i
\(391\) −1.61143e8 + 9.13888e8i −0.136331 + 0.773169i
\(392\) −2.46115e8 + 1.39579e9i −0.206365 + 1.17035i
\(393\) 1.72321e8 + 2.98468e8i 0.143207 + 0.248041i
\(394\) −6.10316e8 + 5.12116e8i −0.502710 + 0.421824i
\(395\) 2.07484e8 7.55179e7i 0.169393 0.0616538i
\(396\) 1.41942e8 2.45851e8i 0.114862 0.198947i
\(397\) −5.36242e7 9.28799e7i −0.0430125 0.0744998i 0.843718 0.536787i \(-0.180362\pi\)
−0.886730 + 0.462287i \(0.847029\pi\)
\(398\) −1.01977e9 8.55693e8i −0.810800 0.680342i
\(399\) 8.35355e8 1.44688e9i 0.658364 1.14032i
\(400\) 2.70018e8 + 1.53135e9i 0.210952 + 1.19637i
\(401\) 1.16365e9 0.901193 0.450597 0.892728i \(-0.351211\pi\)
0.450597 + 0.892728i \(0.351211\pi\)
\(402\) 4.51822e8 + 2.56241e9i 0.346877 + 1.96724i
\(403\) −4.57262e8 + 3.83688e8i −0.348014 + 0.292019i
\(404\) −4.12333e8 1.50077e8i −0.311109 0.113235i
\(405\) −2.47675e8 + 9.01464e7i −0.185264 + 0.0674304i
\(406\) −2.10458e9 −1.56072
\(407\) −7.30670e8 + 3.90865e8i −0.537206 + 0.287374i
\(408\) 1.74731e9 1.27368
\(409\) −1.30604e9 + 4.75361e8i −0.943900 + 0.343551i −0.767705 0.640804i \(-0.778601\pi\)
−0.176195 + 0.984355i \(0.556379\pi\)
\(410\) −9.14846e7 3.32977e7i −0.0655548 0.0238600i
\(411\) −2.66649e9 + 2.23745e9i −1.89450 + 1.58967i
\(412\) −1.95554e8 1.10904e9i −0.137761 0.781282i
\(413\) 3.23803e9 2.26181
\(414\) 9.66620e7 + 5.48198e8i 0.0669506 + 0.379696i
\(415\) −6.17478e7 + 1.06950e8i −0.0424085 + 0.0734537i
\(416\) 7.71864e8 + 6.47671e8i 0.525671 + 0.441090i
\(417\) 1.48647e8 + 2.57465e8i 0.100388 + 0.173877i
\(418\) 3.25055e8 5.63012e8i 0.217691 0.377051i
\(419\) −9.74550e8 + 3.54707e8i −0.647224 + 0.235570i −0.644711 0.764426i \(-0.723022\pi\)
−0.00251346 + 0.999997i \(0.500800\pi\)
\(420\) 2.37181e8 1.99018e8i 0.156209 0.131075i
\(421\) 1.56679e8 + 2.71376e8i 0.102335 + 0.177249i 0.912646 0.408751i \(-0.134035\pi\)
−0.810311 + 0.585999i \(0.800702\pi\)
\(422\) 4.40537e8 2.49841e9i 0.285357 1.61834i
\(423\) 1.71609e8 9.73242e8i 0.110242 0.625215i
\(424\) 8.47469e8 + 7.11111e8i 0.539937 + 0.453061i
\(425\) −2.52409e9 9.18694e8i −1.59494 0.580510i
\(426\) −9.92739e8 3.61327e8i −0.622159 0.226447i
\(427\) −2.57909e9 2.16412e9i −1.60313 1.34519i
\(428\) 1.13755e8 6.45139e8i 0.0701324 0.397740i
\(429\) 1.55802e8 8.83595e8i 0.0952734 0.540322i
\(430\) 2.11947e8 + 3.67103e8i 0.128555 + 0.222663i
\(431\) 7.95715e8 6.67684e8i 0.478726 0.401699i −0.371239 0.928537i \(-0.621067\pi\)
0.849966 + 0.526838i \(0.176623\pi\)
\(432\) −7.96251e8 + 2.89812e8i −0.475179 + 0.172951i
\(433\) −1.27436e9 + 2.20726e9i −0.754373 + 1.30661i 0.191313 + 0.981529i \(0.438726\pi\)
−0.945686 + 0.325083i \(0.894608\pi\)
\(434\) 1.22519e9 + 2.12209e9i 0.719432 + 1.24609i
\(435\) −1.97174e8 1.65449e8i −0.114852 0.0963720i
\(436\) 4.25273e8 7.36595e8i 0.245734 0.425624i
\(437\) 7.83644e7 + 4.44427e8i 0.0449194 + 0.254751i
\(438\) 1.62546e9 0.924308
\(439\) 1.52070e8 + 8.62432e8i 0.0857862 + 0.486518i 0.997184 + 0.0749917i \(0.0238930\pi\)
−0.911398 + 0.411526i \(0.864996\pi\)
\(440\) −7.61199e7 + 6.38722e7i −0.0426004 + 0.0357460i
\(441\) −2.46094e9 8.95710e8i −1.36636 0.497316i
\(442\) −2.56462e9 + 9.33445e8i −1.41268 + 0.514175i
\(443\) 2.83528e9 1.54947 0.774734 0.632287i \(-0.217884\pi\)
0.774734 + 0.632287i \(0.217884\pi\)
\(444\) 1.28517e9 + 2.69794e8i 0.696821 + 0.146282i
\(445\) −2.30536e8 −0.124016
\(446\) 2.45702e9 8.94282e8i 1.31140 0.477312i
\(447\) 2.92904e9 + 1.06608e9i 1.55113 + 0.564566i
\(448\) −4.09689e7 + 3.43770e7i −0.0215269 + 0.0180632i
\(449\) 5.89556e8 + 3.34354e9i 0.307371 + 1.74319i 0.612128 + 0.790759i \(0.290314\pi\)
−0.304757 + 0.952430i \(0.598575\pi\)
\(450\) −1.61125e9 −0.833526
\(451\) 7.11949e7 + 4.03766e8i 0.0365452 + 0.207258i
\(452\) −8.68243e8 + 1.50384e9i −0.442239 + 0.765980i
\(453\) 1.25307e9 + 1.05145e9i 0.633334 + 0.531431i
\(454\) 7.14602e8 + 1.23773e9i 0.358400 + 0.620768i
\(455\) 1.99432e8 3.45427e8i 0.0992557 0.171916i
\(456\) 7.98479e8 2.90623e8i 0.394354 0.143533i
\(457\) 5.76943e8 4.84113e8i 0.282765 0.237268i −0.490362 0.871519i \(-0.663136\pi\)
0.773128 + 0.634250i \(0.218691\pi\)
\(458\) −2.31258e9 4.00550e9i −1.12478 1.94817i
\(459\) 2.54174e8 1.44149e9i 0.122684 0.695773i
\(460\) −1.45226e7 + 8.23615e7i −0.00695650 + 0.0394523i
\(461\) −1.63388e9 1.37099e9i −0.776725 0.651750i 0.165697 0.986177i \(-0.447013\pi\)
−0.942422 + 0.334427i \(0.891457\pi\)
\(462\) −3.46107e9 1.25973e9i −1.63292 0.594333i
\(463\) −5.22175e8 1.90056e8i −0.244502 0.0889915i 0.216862 0.976202i \(-0.430418\pi\)
−0.461365 + 0.887211i \(0.652640\pi\)
\(464\) −1.46219e9 1.22693e9i −0.679504 0.570172i
\(465\) −5.20395e7 + 2.95131e8i −0.0240020 + 0.136122i
\(466\) 7.34735e8 4.16689e9i 0.336341 1.90749i
\(467\) 4.70306e8 + 8.14593e8i 0.213684 + 0.370111i 0.952865 0.303396i \(-0.0981205\pi\)
−0.739181 + 0.673507i \(0.764787\pi\)
\(468\) −4.43968e8 + 3.72534e8i −0.200213 + 0.167998i
\(469\) 4.57744e9 1.66605e9i 2.04889 0.745734i
\(470\) 2.09705e8 3.63220e8i 0.0931681 0.161372i
\(471\) 5.76804e8 + 9.99054e8i 0.254364 + 0.440571i
\(472\) 1.26157e9 + 1.05858e9i 0.552223 + 0.463370i
\(473\) 8.92574e8 1.54598e9i 0.387820 0.671724i
\(474\) 7.22812e8 + 4.09927e9i 0.311746 + 1.76800i
\(475\) −1.30625e9 −0.559241
\(476\) 6.88727e8 + 3.90597e9i 0.292700 + 1.65999i
\(477\) −1.56593e9 + 1.31397e9i −0.660630 + 0.554334i
\(478\) −3.02701e9 1.10174e9i −1.26770 0.461405i
\(479\) −1.90121e9 + 6.91984e8i −0.790416 + 0.287688i −0.705509 0.708701i \(-0.749282\pi\)
−0.0849073 + 0.996389i \(0.527059\pi\)
\(480\) 5.05870e8 0.208783
\(481\) 1.67465e9 2.39655e8i 0.686146 0.0981928i
\(482\) 4.31765e9 1.75624
\(483\) 2.40255e9 8.74457e8i 0.970191 0.353121i
\(484\) 8.07732e8 + 2.93990e8i 0.323823 + 0.117862i
\(485\) 1.94399e8 1.63120e8i 0.0773746 0.0649250i
\(486\) −6.41238e8 3.63664e9i −0.253392 1.43706i
\(487\) −3.28418e9 −1.28847 −0.644237 0.764826i \(-0.722825\pi\)
−0.644237 + 0.764826i \(0.722825\pi\)
\(488\) −2.97344e8 1.68632e9i −0.115822 0.656858i
\(489\) −2.37079e9 + 4.10634e9i −0.916881 + 1.58808i
\(490\) −8.51413e8 7.14420e8i −0.326929 0.274326i
\(491\) 6.99326e8 + 1.21127e9i 0.266621 + 0.461801i 0.967987 0.251000i \(-0.0807595\pi\)
−0.701366 + 0.712801i \(0.747426\pi\)
\(492\) 3.24867e8 5.62686e8i 0.122978 0.213004i
\(493\) 3.09837e9 1.12771e9i 1.16458 0.423872i
\(494\) −1.01671e9 + 8.53124e8i −0.379450 + 0.318396i
\(495\) −9.18043e7 1.59010e8i −0.0340208 0.0589258i
\(496\) −3.85913e8 + 2.18862e9i −0.142005 + 0.805350i
\(497\) −3.43447e8 + 1.94778e9i −0.125491 + 0.711694i
\(498\) −1.78346e9 1.49650e9i −0.647083 0.542967i
\(499\) 2.57850e8 + 9.38497e7i 0.0928999 + 0.0338128i 0.388052 0.921637i \(-0.373148\pi\)
−0.295152 + 0.955450i \(0.595370\pi\)
\(500\) −4.61108e8 1.67830e8i −0.164971 0.0600445i
\(501\) −3.41839e9 2.86837e9i −1.21448 1.01907i
\(502\) −3.75691e8 + 2.13065e9i −0.132546 + 0.751707i
\(503\) −1.70720e8 + 9.68202e8i −0.0598132 + 0.339217i −0.999999 0.00144477i \(-0.999540\pi\)
0.940186 + 0.340662i \(0.110651\pi\)
\(504\) −9.81125e8 1.69936e9i −0.341364 0.591260i
\(505\) −2.17405e8 + 1.82424e8i −0.0751188 + 0.0630322i
\(506\) 9.34885e8 3.40270e8i 0.320798 0.116761i
\(507\) 9.90443e8 1.71550e9i 0.337522 0.584605i
\(508\) 8.19209e8 + 1.41891e9i 0.277250 + 0.480211i
\(509\) 3.88116e9 + 3.25668e9i 1.30452 + 1.09462i 0.989346 + 0.145583i \(0.0465057\pi\)
0.315169 + 0.949036i \(0.397939\pi\)
\(510\) −6.85109e8 + 1.18664e9i −0.228699 + 0.396118i
\(511\) −5.28429e8 2.99687e9i −0.175192 0.993561i
\(512\) 1.62050e9 0.533585
\(513\) −1.23606e8 7.01002e8i −0.0404229 0.229250i
\(514\) 4.79297e9 4.02178e9i 1.55680 1.30631i
\(515\) −6.84439e8 2.49115e8i −0.220805 0.0803665i
\(516\) −2.65838e9 + 9.67571e8i −0.851811 + 0.310034i
\(517\) −1.76627e9 −0.562133
\(518\) 2.24900e8 6.94099e9i 0.0710943 2.19416i
\(519\) 2.50482e9 0.786486
\(520\) 1.90628e8 6.93831e7i 0.0594533 0.0216392i
\(521\) −2.32702e9 8.46967e8i −0.720890 0.262382i −0.0445862 0.999006i \(-0.514197\pi\)
−0.676303 + 0.736623i \(0.736419\pi\)
\(522\) 1.51511e9 1.27133e9i 0.466228 0.391212i
\(523\) −1.06218e9 6.02395e9i −0.324671 1.84130i −0.511975 0.859001i \(-0.671086\pi\)
0.187303 0.982302i \(-0.440025\pi\)
\(524\) −3.97879e8 −0.120807
\(525\) 1.28509e9 + 7.28812e9i 0.387594 + 2.19815i
\(526\) 2.24756e9 3.89289e9i 0.673382 1.16633i
\(527\) −2.94082e9 2.46764e9i −0.875249 0.734421i
\(528\) −1.67024e9 2.89295e9i −0.493811 0.855306i
\(529\) 1.35711e9 2.35058e9i 0.398583 0.690367i
\(530\) −8.15220e8 + 2.96716e8i −0.237853 + 0.0865715i
\(531\) −2.33110e9 + 1.95602e9i −0.675662 + 0.566948i
\(532\) 9.64394e8 + 1.67038e9i 0.277692 + 0.480977i
\(533\) 1.45347e8 8.24304e8i 0.0415777 0.235799i
\(534\) 7.54684e8 4.28002e9i 0.214472 1.21633i
\(535\) −3.24570e8 2.72346e8i −0.0916368 0.0768924i
\(536\) 2.32809e9 + 8.47354e8i 0.653014 + 0.237678i
\(537\) −3.92581e8 1.42888e8i −0.109400 0.0398185i
\(538\) 1.83883e9 + 1.54296e9i 0.509100 + 0.427186i
\(539\) −8.12780e8 + 4.60950e9i −0.223569 + 1.26792i
\(540\) 2.29067e7 1.29910e8i 0.00626014 0.0355030i
\(541\) 3.61893e9 + 6.26818e9i 0.982631 + 1.70197i 0.652026 + 0.758197i \(0.273919\pi\)
0.330605 + 0.943769i \(0.392747\pi\)
\(542\) −5.32173e9 + 4.46546e9i −1.43567 + 1.20467i
\(543\) 3.29663e9 1.19987e9i 0.883630 0.321615i
\(544\) −3.24012e9 + 5.61205e9i −0.862909 + 1.49460i
\(545\) −2.75056e8 4.76411e8i −0.0727835 0.126065i
\(546\) 5.76018e9 + 4.83337e9i 1.51447 + 1.27080i
\(547\) −1.01059e9 + 1.75040e9i −0.264010 + 0.457278i −0.967304 0.253621i \(-0.918378\pi\)
0.703294 + 0.710899i \(0.251712\pi\)
\(548\) −6.97814e8 3.95750e9i −0.181137 1.02728i
\(549\) 3.16401e9 0.816084
\(550\) 5.00058e8 + 2.83597e9i 0.128159 + 0.726829i
\(551\) 1.22831e9 1.03068e9i 0.312808 0.262477i
\(552\) 1.22194e9 + 4.44749e8i 0.309216 + 0.112545i
\(553\) 7.32286e9 2.66530e9i 1.84138 0.670207i
\(554\) −8.98277e9 −2.24453
\(555\) 5.66726e8 6.32606e8i 0.140717 0.157075i
\(556\) −3.43218e8 −0.0846854
\(557\) −2.16810e9 + 7.89125e8i −0.531602 + 0.193487i −0.593854 0.804573i \(-0.702394\pi\)
0.0622514 + 0.998061i \(0.480172\pi\)
\(558\) −2.16394e9 7.87609e8i −0.527261 0.191907i
\(559\) −2.79181e9 + 2.34260e9i −0.675996 + 0.567228i
\(560\) −2.57872e8 1.46246e9i −0.0620505 0.351906i
\(561\) 5.77040e9 1.37986
\(562\) 1.08622e9 + 6.16026e9i 0.258131 + 1.46394i
\(563\) 1.91130e9 3.31047e9i 0.451387 0.781825i −0.547086 0.837077i \(-0.684263\pi\)
0.998472 + 0.0552516i \(0.0175961\pi\)
\(564\) 2.14421e9 + 1.79921e9i 0.503258 + 0.422283i
\(565\) 5.61557e8 + 9.72645e8i 0.130986 + 0.226874i
\(566\) −2.33496e9 + 4.04426e9i −0.541279 + 0.937523i
\(567\) −8.74137e9 + 3.18160e9i −2.01390 + 0.733001i
\(568\) −7.70583e8 + 6.46596e8i −0.176441 + 0.148052i
\(569\) −2.06337e9 3.57387e9i −0.469554 0.813291i 0.529840 0.848097i \(-0.322252\pi\)
−0.999394 + 0.0348066i \(0.988918\pi\)
\(570\) −1.15709e8 + 6.56218e8i −0.0261701 + 0.148418i
\(571\) 1.30214e9 7.38482e9i 0.292706 1.66002i −0.383674 0.923468i \(-0.625341\pi\)
0.676381 0.736552i \(-0.263547\pi\)
\(572\) 7.93485e8 + 6.65813e8i 0.177277 + 0.148753i
\(573\) 1.21503e9 + 4.42236e8i 0.269803 + 0.0982003i
\(574\) −3.22883e9 1.17520e9i −0.712612 0.259370i
\(575\) −1.53132e9 1.28493e9i −0.335914 0.281865i
\(576\) 8.72762e6 4.94968e7i 0.00190291 0.0107919i
\(577\) −5.60145e8 + 3.17674e9i −0.121391 + 0.688440i 0.861996 + 0.506916i \(0.169214\pi\)
−0.983386 + 0.181525i \(0.941897\pi\)
\(578\) −5.88825e9 1.01987e10i −1.26835 2.19684i
\(579\) −5.43361e9 + 4.55934e9i −1.16336 + 0.976174i
\(580\) 2.79232e8 1.01632e8i 0.0594246 0.0216288i
\(581\) −2.17931e9 + 3.77467e9i −0.461001 + 0.798477i
\(582\) 2.39203e9 + 4.14312e9i 0.502964 + 0.871159i
\(583\) 2.79872e9 + 2.34840e9i 0.584951 + 0.490832i
\(584\) 7.73860e8 1.34036e9i 0.160775 0.278470i
\(585\) 6.50910e7 + 3.69149e8i 0.0134424 + 0.0762354i
\(586\) 2.59027e9 0.531744
\(587\) −4.79991e8 2.72217e9i −0.0979490 0.555496i −0.993804 0.111149i \(-0.964547\pi\)
0.895855 0.444347i \(-0.146564\pi\)
\(588\) 5.68217e9 4.76790e9i 1.15264 0.967179i
\(589\) −1.75432e9 6.38519e8i −0.353757 0.128757i
\(590\) −1.21356e9 + 4.41701e8i −0.243266 + 0.0885414i
\(591\) −3.43896e9 −0.685284
\(592\) 4.20270e9 4.69126e9i 0.832535 0.929316i
\(593\) −2.65628e9 −0.523097 −0.261548 0.965190i \(-0.584233\pi\)
−0.261548 + 0.965190i \(0.584233\pi\)
\(594\) −1.47461e9 + 5.36714e8i −0.288685 + 0.105073i
\(595\) 2.41055e9 + 8.77367e8i 0.469144 + 0.170754i
\(596\) −2.75662e9 + 2.31308e9i −0.533353 + 0.447536i
\(597\) −9.97807e8 5.65885e9i −0.191927 1.08847i
\(598\) −2.03109e9 −0.388397
\(599\) 1.02415e9 + 5.80824e9i 0.194702 + 1.10421i 0.912843 + 0.408310i \(0.133882\pi\)
−0.718142 + 0.695897i \(0.755007\pi\)
\(600\) −1.88196e9 + 3.25965e9i −0.355698 + 0.616087i
\(601\) 1.62773e9 + 1.36583e9i 0.305859 + 0.256646i 0.782778 0.622301i \(-0.213802\pi\)
−0.476919 + 0.878947i \(0.658246\pi\)
\(602\) 7.48040e9 + 1.29564e10i 1.39745 + 2.42046i
\(603\) −2.28893e9 + 3.96454e9i −0.425130 + 0.736346i
\(604\) −1.77456e9 + 6.45888e8i −0.327689 + 0.119269i
\(605\) 4.25880e8 3.57356e8i 0.0781887 0.0656081i
\(606\) −2.67511e9 4.63343e9i −0.488301 0.845762i
\(607\) 8.64703e8 4.90398e9i 0.156930 0.889996i −0.800070 0.599907i \(-0.795204\pi\)
0.957000 0.290088i \(-0.0936847\pi\)
\(608\) −5.47228e8 + 3.10348e9i −0.0987429 + 0.559999i
\(609\) −6.95899e9 5.83929e9i −1.24849 1.04761i
\(610\) 1.26181e9 + 4.59262e8i 0.225082 + 0.0819230i
\(611\) 3.38844e9 + 1.23329e9i 0.600973 + 0.218736i
\(612\) −2.85533e9 2.39591e9i −0.503531 0.422513i
\(613\) −3.77391e8 + 2.14029e9i −0.0661729 + 0.375285i 0.933680 + 0.358110i \(0.116579\pi\)
−0.999852 + 0.0171756i \(0.994533\pi\)
\(614\) 1.98263e8 1.12440e9i 0.0345662 0.196035i
\(615\) −2.10116e8 3.63931e8i −0.0364246 0.0630893i
\(616\) −2.68655e9 + 2.25428e9i −0.463087 + 0.388576i
\(617\) −8.77834e9 + 3.19505e9i −1.50458 + 0.547621i −0.957241 0.289292i \(-0.906580\pi\)
−0.547336 + 0.836913i \(0.684358\pi\)
\(618\) 6.86556e9 1.18915e10i 1.17008 2.02664i
\(619\) −2.58904e9 4.48435e9i −0.438755 0.759946i 0.558839 0.829276i \(-0.311247\pi\)
−0.997594 + 0.0693305i \(0.977914\pi\)
\(620\) −2.65033e8 2.22389e8i −0.0446611 0.0374751i
\(621\) 5.44657e8 9.43374e8i 0.0912646 0.158075i
\(622\) 1.19475e9 + 6.77575e9i 0.199072 + 1.12899i
\(623\) −8.13645e9 −1.34811
\(624\) 1.18423e9 + 6.71612e9i 0.195115 + 1.10655i
\(625\) 4.30926e9 3.61590e9i 0.706029 0.592429i
\(626\) 4.87681e9 + 1.77501e9i 0.794558 + 0.289195i
\(627\) 2.63693e9 9.59765e8i 0.427231 0.155499i
\(628\) −1.33181e9 −0.214577
\(629\) 3.38814e9 + 1.03390e10i 0.542856 + 1.65654i
\(630\) 1.53877e9 0.245178
\(631\) 5.02807e9 1.83007e9i 0.796707 0.289978i 0.0885856 0.996069i \(-0.471765\pi\)
0.708121 + 0.706091i \(0.249543\pi\)
\(632\) 3.72441e9 + 1.35557e9i 0.586878 + 0.213606i
\(633\) 8.38866e9 7.03892e9i 1.31456 1.10304i
\(634\) 1.39625e8 + 7.91851e8i 0.0217596 + 0.123405i
\(635\) 1.05969e9 0.164236
\(636\) −1.00539e9 5.70183e9i −0.154965 0.878849i
\(637\) 4.77782e9 8.27543e9i 0.732390 1.26854i
\(638\) −2.70790e9 2.27220e9i −0.412819 0.346396i
\(639\) −9.29361e8 1.60970e9i −0.140907 0.244057i
\(640\) 5.43510e8 9.41386e8i 0.0819554 0.141951i
\(641\) 6.26010e9 2.27849e9i 0.938812 0.341700i 0.173115 0.984902i \(-0.444617\pi\)
0.765696 + 0.643202i \(0.222394\pi\)
\(642\) 6.11878e9 5.13427e9i 0.912625 0.765783i
\(643\) 2.88239e9 + 4.99245e9i 0.427578 + 0.740586i 0.996657 0.0816961i \(-0.0260337\pi\)
−0.569080 + 0.822282i \(0.692700\pi\)
\(644\) −5.12554e8 + 2.90684e9i −0.0756205 + 0.428865i
\(645\) −3.17727e8 + 1.80192e9i −0.0466224 + 0.264409i
\(646\) −6.53887e9 5.48676e9i −0.954308 0.800760i
\(647\) −5.98727e9 2.17919e9i −0.869088 0.316322i −0.131290 0.991344i \(-0.541912\pi\)
−0.737798 + 0.675022i \(0.764134\pi\)
\(648\) −4.44586e9 1.61816e9i −0.641864 0.233620i
\(649\) 4.16627e9 + 3.49591e9i 0.598261 + 0.502001i
\(650\) 1.02089e9 5.78974e9i 0.145808 0.826917i
\(651\) −1.83667e9 + 1.04163e10i −0.260914 + 1.47972i
\(652\) −2.73701e9 4.74065e9i −0.386732 0.669840i
\(653\) −6.43675e9 + 5.40107e9i −0.904629 + 0.759074i −0.971090 0.238715i \(-0.923274\pi\)
0.0664608 + 0.997789i \(0.478829\pi\)
\(654\) 9.74526e9 3.54698e9i 1.36230 0.495835i
\(655\) −1.28669e8 + 2.22861e8i −0.0178908 + 0.0309877i
\(656\) −1.55817e9 2.69882e9i −0.215502 0.373260i
\(657\) 2.19076e9 + 1.83827e9i 0.301381 + 0.252889i
\(658\) 7.40127e9 1.28194e10i 1.01278 1.75419i
\(659\) −9.04796e8 5.13135e9i −0.123155 0.698446i −0.982387 0.186859i \(-0.940169\pi\)
0.859232 0.511586i \(-0.170942\pi\)
\(660\) 5.20041e8 0.0704098
\(661\) −4.47857e8 2.53992e9i −0.0603162 0.342070i −1.00000 2.58798e-5i \(-0.999992\pi\)
0.939684 0.342044i \(-0.111119\pi\)
\(662\) −2.57377e9 + 2.15965e9i −0.344800 + 0.289321i
\(663\) −1.10700e10 4.02916e9i −1.47520 0.536930i
\(664\) −2.08310e9 + 7.58187e8i −0.276136 + 0.100505i
\(665\) 1.24749e9 0.164498
\(666\) 4.03099e9 + 5.13276e9i 0.528752 + 0.673273i
\(667\) 2.45380e9 0.320184
\(668\) 4.84101e9 1.76198e9i 0.628375 0.228710i
\(669\) 1.06056e10 + 3.86012e9i 1.36944 + 0.498436i
\(670\) −1.48829e9 + 1.24882e9i −0.191172 + 0.160412i
\(671\) −9.81963e8 5.56899e9i −0.125478 0.711619i
\(672\) 1.78540e10 2.26957
\(673\) 1.55184e9 + 8.80090e9i 0.196243 + 1.11295i 0.910638 + 0.413205i \(0.135591\pi\)
−0.714396 + 0.699742i \(0.753298\pi\)
\(674\) 5.02119e9 8.69695e9i 0.631679 1.09410i
\(675\) 2.41538e9 + 2.02674e9i 0.302288 + 0.253650i
\(676\) 1.14344e9 + 1.98049e9i 0.142364 + 0.246581i
\(677\) −6.75882e9 + 1.17066e10i −0.837164 + 1.45001i 0.0550927 + 0.998481i \(0.482455\pi\)
−0.892256 + 0.451529i \(0.850879\pi\)
\(678\) −1.98960e10 + 7.24156e9i −2.45167 + 0.892336i
\(679\) 6.86106e9 5.75711e9i 0.841099 0.705766i
\(680\) 6.52343e8 + 1.12989e9i 0.0795600 + 0.137802i
\(681\) −1.07125e9 + 6.07535e9i −0.129980 + 0.737151i
\(682\) −7.14687e8 + 4.05319e9i −0.0862722 + 0.489274i
\(683\) 3.01646e9 + 2.53111e9i 0.362264 + 0.303976i 0.805692 0.592334i \(-0.201793\pi\)
−0.443428 + 0.896310i \(0.646238\pi\)
\(684\) −1.70332e9 6.19956e8i −0.203516 0.0740738i
\(685\) −2.44235e9 8.88942e8i −0.290329 0.105671i
\(686\) −1.58300e10 1.32830e10i −1.87218 1.57094i
\(687\) 3.46675e9 1.96609e10i 0.407919 2.31342i
\(688\) −2.35619e9 + 1.33626e10i −0.275835 + 1.56434i
\(689\) −3.72935e9 6.45942e9i −0.434376 0.752361i
\(690\) −7.81153e8 + 6.55465e8i −0.0905241 + 0.0759587i
\(691\) 3.90079e8 1.41977e8i 0.0449759 0.0163699i −0.319434 0.947608i \(-0.603493\pi\)
0.364410 + 0.931239i \(0.381271\pi\)
\(692\) −1.44587e9 + 2.50432e9i −0.165866 + 0.287289i
\(693\) −3.24011e9 5.61204e9i −0.369823 0.640552i
\(694\) −9.94310e9 8.34325e9i −1.12918 0.947496i
\(695\) −1.10992e8 + 1.92244e8i −0.0125414 + 0.0217223i
\(696\) −8.02304e8 4.55009e9i −0.0902000 0.511550i
\(697\) 5.38319e9 0.602179
\(698\) 1.77795e9 + 1.00833e10i 0.197891 + 1.12230i
\(699\) 1.39907e10 1.17396e10i 1.54942 1.30012i
\(700\) −8.02848e9 2.92213e9i −0.884688 0.322000i
\(701\) 1.81112e9 6.59192e8i 0.198579 0.0722768i −0.240816 0.970571i \(-0.577415\pi\)
0.439395 + 0.898294i \(0.355193\pi\)
\(702\) 3.20368e9 0.349517
\(703\) 3.26795e9 + 4.16115e9i 0.354757 + 0.451721i
\(704\) −8.98281e7 −0.00970305
\(705\) 1.70118e9 6.19181e8i 0.182848 0.0665511i
\(706\) 1.44737e10 + 5.26801e9i 1.54798 + 0.563417i
\(707\) −7.67301e9 + 6.43842e9i −0.816578 + 0.685190i
\(708\) −1.49665e9 8.48793e9i −0.158491 0.898847i
\(709\) 4.21302e8 0.0443947 0.0221974 0.999754i \(-0.492934\pi\)
0.0221974 + 0.999754i \(0.492934\pi\)
\(710\) −1.36979e8 7.76848e8i −0.0143632 0.0814576i
\(711\) −3.66176e9 + 6.34236e9i −0.382073 + 0.661770i
\(712\) −3.17004e9 2.65998e9i −0.329143 0.276184i
\(713\) −1.42849e9 2.47422e9i −0.147592 0.255638i
\(714\) −2.41800e10 + 4.18810e10i −2.48607 + 4.30599i
\(715\) 6.29540e8 2.29134e8i 0.0644098 0.0234433i
\(716\) 3.69471e8 3.10023e8i 0.0376171 0.0315645i
\(717\) −6.95224e9 1.20416e10i −0.704381 1.22002i
\(718\) −3.74473e9 + 2.12374e10i −0.377559 + 2.14124i
\(719\) −7.63679e8 + 4.33104e9i −0.0766231 + 0.434551i 0.922229 + 0.386645i \(0.126366\pi\)
−0.998852 + 0.0479064i \(0.984745\pi\)
\(720\) 1.06909e9 + 8.97069e8i 0.106745 + 0.0895699i
\(721\) −2.41564e10 8.79220e9i −2.40026 0.873623i
\(722\) 7.92301e9 + 2.88374e9i 0.783448 + 0.285152i
\(723\) 1.42767e10 + 1.19796e10i 1.40489 + 1.17885i
\(724\) −7.03294e8 + 3.98858e9i −0.0688735 + 0.390601i
\(725\) −1.23335e9 + 6.99470e9i −0.120200 + 0.681689i
\(726\) 5.24035e9 + 9.07656e9i 0.508256 + 0.880325i
\(727\) 1.22253e9 1.02583e9i 0.118002 0.0990158i −0.581877 0.813277i \(-0.697682\pi\)
0.699879 + 0.714261i \(0.253237\pi\)
\(728\) 6.72798e9 2.44878e9i 0.646286 0.235229i
\(729\) 1.61702e9 2.80076e9i 0.154586 0.267750i
\(730\) 6.06850e8 + 1.05110e9i 0.0577367 + 0.100003i
\(731\) −1.79552e10 1.50662e10i −1.70012 1.42657i
\(732\) −4.48077e9 + 7.76091e9i −0.422244 + 0.731348i
\(733\) 2.66084e9 + 1.50904e10i 0.249548 + 1.41526i 0.809688 + 0.586861i \(0.199636\pi\)
−0.560140 + 0.828398i \(0.689252\pi\)
\(734\) 1.36643e10 1.27541
\(735\) −8.33072e8 4.72459e9i −0.0773886 0.438893i
\(736\) −3.69434e9 + 3.09992e9i −0.341558 + 0.286602i
\(737\) 7.68838e9 + 2.79834e9i 0.707454 + 0.257492i
\(738\) 3.03438e9 1.10442e9i 0.277890 0.101144i
\(739\) −2.34821e9 −0.214033 −0.107017 0.994257i \(-0.534130\pi\)
−0.107017 + 0.994257i \(0.534130\pi\)
\(740\) 3.05347e8 + 9.31776e8i 0.0277001 + 0.0845280i
\(741\) −5.72889e9 −0.517258
\(742\) −2.87721e10 + 1.04722e10i −2.58558 + 0.941074i
\(743\) −6.01788e9 2.19033e9i −0.538249 0.195906i 0.0585690 0.998283i \(-0.481346\pi\)
−0.596818 + 0.802377i \(0.703568\pi\)
\(744\) −4.12088e9 + 3.45783e9i −0.366847 + 0.307821i
\(745\) 4.04152e8 + 2.29206e9i 0.0358095 + 0.203086i
\(746\) 2.36389e10 2.08469
\(747\) −7.11285e8 4.03390e9i −0.0624341 0.354081i
\(748\) −3.33088e9 + 5.76925e9i −0.291007 + 0.504039i
\(749\) −1.14553e10 9.61210e9i −0.996136 0.835857i
\(750\) −2.99155e9 5.18151e9i −0.258930 0.448479i
\(751\) 2.29704e9 3.97859e9i 0.197892 0.342759i −0.749953 0.661492i \(-0.769924\pi\)
0.947845 + 0.318732i \(0.103257\pi\)
\(752\) 1.26156e10 4.59169e9i 1.08179 0.393741i
\(753\) −7.15386e9 + 6.00280e9i −0.610601 + 0.512355i
\(754\) 3.60833e9 + 6.24980e9i 0.306553 + 0.530966i
\(755\) −2.12094e8 + 1.20285e9i −0.0179355 + 0.101717i
\(756\) 8.08461e8 4.58501e9i 0.0680507 0.385935i
\(757\) −8.03342e9 6.74084e9i −0.673077 0.564779i 0.240897 0.970551i \(-0.422558\pi\)
−0.913974 + 0.405772i \(0.867003\pi\)
\(758\) 1.59453e9 + 5.80360e8i 0.132981 + 0.0484011i
\(759\) 4.03538e9 + 1.46876e9i 0.334995 + 0.121928i
\(760\) 4.86035e8 + 4.07831e8i 0.0401624 + 0.0337002i
\(761\) −9.86490e8 + 5.59467e9i −0.0811422 + 0.460180i 0.916980 + 0.398932i \(0.130619\pi\)
−0.998123 + 0.0612479i \(0.980492\pi\)
\(762\) −3.46900e9 + 1.96737e10i −0.284028 + 1.61080i
\(763\) −9.70773e9 1.68143e10i −0.791192 1.37038i
\(764\) −1.14351e9 + 9.59517e8i −0.0927711