Properties

Label 37.8.f.a.7.8
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 7.8
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.31992 + 1.93629i) q^{2} +(16.2628 + 5.91916i) q^{3} +(-73.5013 + 61.6750i) q^{4} +(5.57004 + 31.5893i) q^{5} -97.9779 q^{6} +(125.391 + 711.126i) q^{7} +(633.927 - 1097.99i) q^{8} +(-1445.90 - 1213.25i) q^{9} +O(q^{10})\) \(q+(-5.31992 + 1.93629i) q^{2} +(16.2628 + 5.91916i) q^{3} +(-73.5013 + 61.6750i) q^{4} +(5.57004 + 31.5893i) q^{5} -97.9779 q^{6} +(125.391 + 711.126i) q^{7} +(633.927 - 1097.99i) q^{8} +(-1445.90 - 1213.25i) q^{9} +(-90.7982 - 157.267i) q^{10} +(-1429.88 + 2476.62i) q^{11} +(-1560.40 + 567.939i) q^{12} +(4088.44 - 3430.61i) q^{13} +(-2044.02 - 3540.34i) q^{14} +(-96.3977 + 546.699i) q^{15} +(886.256 - 5026.21i) q^{16} +(-16632.8 - 13956.6i) q^{17} +(10041.3 + 3654.73i) q^{18} +(-48474.3 - 17643.2i) q^{19} +(-2357.67 - 1978.32i) q^{20} +(-2170.07 + 12307.1i) q^{21} +(2811.38 - 15944.1i) q^{22} +(-54890.2 - 95072.6i) q^{23} +(16808.6 - 14104.1i) q^{24} +(72446.6 - 26368.4i) q^{25} +(-15107.5 + 26167.0i) q^{26} +(-35257.5 - 61067.8i) q^{27} +(-53075.0 - 44535.3i) q^{28} +(-107242. + 185749. i) q^{29} +(-545.741 - 3095.05i) q^{30} +206272. q^{31} +(33197.9 + 188275. i) q^{32} +(-37913.4 + 31813.1i) q^{33} +(115509. + 42041.9i) q^{34} +(-21765.5 + 7922.00i) q^{35} +181103. q^{36} +(-93172.5 + 293685. i) q^{37} +292042. q^{38} +(86795.7 - 31591.1i) q^{39} +(38215.8 + 13909.4i) q^{40} +(55805.3 - 46826.2i) q^{41} +(-12285.5 - 69674.6i) q^{42} -643506. q^{43} +(-47647.6 - 270223. i) q^{44} +(30272.0 - 52432.7i) q^{45} +(476100. + 399495. i) q^{46} +(261769. + 453398. i) q^{47} +(44163.9 - 76494.1i) q^{48} +(283900. - 103331. i) q^{49} +(-334353. + 280556. i) q^{50} +(-187884. - 325424. i) q^{51} +(-88923.3 + 504309. i) q^{52} +(132873. - 753559. i) q^{53} +(305812. + 256607. i) q^{54} +(-86199.2 - 31373.9i) q^{55} +(860300. + 313124. i) q^{56} +(-683894. - 573855. i) q^{57} +(210856. - 1.19582e6i) q^{58} +(-6375.21 + 36155.6i) q^{59} +(-26632.2 - 46128.4i) q^{60} +(-2.25082e6 + 1.88867e6i) q^{61} +(-1.09735e6 + 399404. i) q^{62} +(681473. - 1.18035e6i) q^{63} +(-214526. - 371570. i) q^{64} +(131143. + 110042. i) q^{65} +(140097. - 242654. i) q^{66} +(-290423. - 1.64707e6i) q^{67} +2.08330e6 q^{68} +(-329916. - 1.87105e6i) q^{69} +(100451. - 84288.8i) q^{70} +(-3.58024e6 - 1.30310e6i) q^{71} +(-2.24874e6 + 818473. i) q^{72} -1.40379e6 q^{73} +(-72989.6 - 1.74279e6i) q^{74} +1.33426e6 q^{75} +(4.65107e6 - 1.69285e6i) q^{76} +(-1.94049e6 - 706279. i) q^{77} +(-400577. + 336124. i) q^{78} +(1.44584e6 + 8.19976e6i) q^{79} +163711. q^{80} +(504894. + 2.86339e6i) q^{81} +(-206211. + 357167. i) q^{82} +(-5.26463e6 - 4.41755e6i) q^{83} +(-599536. - 1.03843e6i) q^{84} +(348232. - 603156. i) q^{85} +(3.42340e6 - 1.24602e6i) q^{86} +(-2.84354e6 + 2.38601e6i) q^{87} +(1.81288e6 + 3.14000e6i) q^{88} +(1.42361e6 - 8.07368e6i) q^{89} +(-59519.8 + 337553. i) q^{90} +(2.95225e6 + 2.47723e6i) q^{91} +(9.89810e6 + 3.60261e6i) q^{92} +(3.35456e6 + 1.22096e6i) q^{93} +(-2.27050e6 - 1.90518e6i) q^{94} +(287332. - 1.62954e6i) q^{95} +(-574539. + 3.25837e6i) q^{96} +(-2.13755e6 - 3.70235e6i) q^{97} +(-1.31025e6 + 1.09943e6i) q^{98} +(5.07223e6 - 1.84614e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.31992 + 1.93629i −0.470219 + 0.171146i −0.566252 0.824232i \(-0.691607\pi\)
0.0960325 + 0.995378i \(0.469385\pi\)
\(3\) 16.2628 + 5.91916i 0.347752 + 0.126571i 0.509990 0.860180i \(-0.329649\pi\)
−0.162238 + 0.986752i \(0.551871\pi\)
\(4\) −73.5013 + 61.6750i −0.574229 + 0.481836i
\(5\) 5.57004 + 31.5893i 0.0199280 + 0.113017i 0.993149 0.116854i \(-0.0372808\pi\)
−0.973221 + 0.229871i \(0.926170\pi\)
\(6\) −97.9779 −0.185182
\(7\) 125.391 + 711.126i 0.138173 + 0.783616i 0.972598 + 0.232495i \(0.0746888\pi\)
−0.834425 + 0.551122i \(0.814200\pi\)
\(8\) 633.927 1097.99i 0.437748 0.758202i
\(9\) −1445.90 1213.25i −0.661133 0.554757i
\(10\) −90.7982 157.267i −0.0287129 0.0497322i
\(11\) −1429.88 + 2476.62i −0.323911 + 0.561030i −0.981291 0.192529i \(-0.938331\pi\)
0.657381 + 0.753559i \(0.271664\pi\)
\(12\) −1560.40 + 567.939i −0.260676 + 0.0948784i
\(13\) 4088.44 3430.61i 0.516126 0.433081i −0.347153 0.937809i \(-0.612851\pi\)
0.863279 + 0.504727i \(0.168407\pi\)
\(14\) −2044.02 3540.34i −0.199084 0.344824i
\(15\) −96.3977 + 546.699i −0.00737475 + 0.0418243i
\(16\) 886.256 5026.21i 0.0540928 0.306775i
\(17\) −16632.8 13956.6i −0.821095 0.688981i 0.132133 0.991232i \(-0.457817\pi\)
−0.953228 + 0.302251i \(0.902262\pi\)
\(18\) 10041.3 + 3654.73i 0.405822 + 0.147707i
\(19\) −48474.3 17643.2i −1.62134 0.590120i −0.637704 0.770282i \(-0.720116\pi\)
−0.983637 + 0.180162i \(0.942338\pi\)
\(20\) −2357.67 1978.32i −0.0658989 0.0552957i
\(21\) −2170.07 + 12307.1i −0.0511336 + 0.289993i
\(22\) 2811.38 15944.1i 0.0562911 0.319243i
\(23\) −54890.2 95072.6i −0.940692 1.62933i −0.764156 0.645032i \(-0.776844\pi\)
−0.176536 0.984294i \(-0.556489\pi\)
\(24\) 16808.6 14104.1i 0.248195 0.208260i
\(25\) 72446.6 26368.4i 0.927317 0.337516i
\(26\) −15107.5 + 26167.0i −0.168572 + 0.291976i
\(27\) −35257.5 61067.8i −0.344729 0.597089i
\(28\) −53075.0 44535.3i −0.456917 0.383399i
\(29\) −107242. + 185749.i −0.816532 + 1.41428i 0.0916904 + 0.995788i \(0.470773\pi\)
−0.908223 + 0.418488i \(0.862560\pi\)
\(30\) −545.741 3095.05i −0.00369030 0.0209287i
\(31\) 206272. 1.24358 0.621792 0.783182i \(-0.286405\pi\)
0.621792 + 0.783182i \(0.286405\pi\)
\(32\) 33197.9 + 188275.i 0.179096 + 1.01570i
\(33\) −37913.4 + 31813.1i −0.183651 + 0.154102i
\(34\) 115509. + 42041.9i 0.504011 + 0.183445i
\(35\) −21765.5 + 7922.00i −0.0858086 + 0.0312318i
\(36\) 181103. 0.646943
\(37\) −93172.5 + 293685.i −0.302400 + 0.953181i
\(38\) 292042. 0.863382
\(39\) 86795.7 31591.1i 0.234300 0.0852782i
\(40\) 38215.8 + 13909.4i 0.0944132 + 0.0343636i
\(41\) 55805.3 46826.2i 0.126454 0.106107i −0.577368 0.816484i \(-0.695920\pi\)
0.703821 + 0.710377i \(0.251476\pi\)
\(42\) −12285.5 69674.6i −0.0255871 0.145112i
\(43\) −643506. −1.23428 −0.617139 0.786854i \(-0.711708\pi\)
−0.617139 + 0.786854i \(0.711708\pi\)
\(44\) −47647.6 270223.i −0.0843251 0.478231i
\(45\) 30272.0 52432.7i 0.0495220 0.0857745i
\(46\) 476100. + 399495.i 0.721184 + 0.605145i
\(47\) 261769. + 453398.i 0.367770 + 0.636997i 0.989217 0.146460i \(-0.0467880\pi\)
−0.621446 + 0.783457i \(0.713455\pi\)
\(48\) 44163.9 76494.1i 0.0576399 0.0998352i
\(49\) 283900. 103331.i 0.344730 0.125471i
\(50\) −334353. + 280556.i −0.378278 + 0.317413i
\(51\) −187884. 325424.i −0.198333 0.343522i
\(52\) −88923.3 + 504309.i −0.0877008 + 0.497376i
\(53\) 132873. 753559.i 0.122594 0.695268i −0.860113 0.510103i \(-0.829607\pi\)
0.982708 0.185164i \(-0.0592817\pi\)
\(54\) 305812. + 256607.i 0.264288 + 0.221764i
\(55\) −86199.2 31373.9i −0.0698608 0.0254273i
\(56\) 860300. + 313124.i 0.654624 + 0.238264i
\(57\) −683894. 573855.i −0.489133 0.410431i
\(58\) 210856. 1.19582e6i 0.141902 0.804765i
\(59\) −6375.21 + 36155.6i −0.00404122 + 0.0229189i −0.986762 0.162177i \(-0.948148\pi\)
0.982720 + 0.185096i \(0.0592596\pi\)
\(60\) −26632.2 46128.4i −0.0159176 0.0275701i
\(61\) −2.25082e6 + 1.88867e6i −1.26966 + 1.06537i −0.275076 + 0.961423i \(0.588703\pi\)
−0.994583 + 0.103948i \(0.966853\pi\)
\(62\) −1.09735e6 + 399404.i −0.584757 + 0.212834i
\(63\) 681473. 1.18035e6i 0.343366 0.594727i
\(64\) −214526. 371570.i −0.102294 0.177178i
\(65\) 131143. + 110042.i 0.0592310 + 0.0497007i
\(66\) 140097. 242654.i 0.0599824 0.103893i
\(67\) −290423. 1.64707e6i −0.117969 0.669037i −0.985237 0.171195i \(-0.945237\pi\)
0.867268 0.497842i \(-0.165874\pi\)
\(68\) 2.08330e6 0.803472
\(69\) −329916. 1.87105e6i −0.120902 0.685667i
\(70\) 100451. 84288.8i 0.0350036 0.0293715i
\(71\) −3.58024e6 1.30310e6i −1.18716 0.432089i −0.328431 0.944528i \(-0.606520\pi\)
−0.858724 + 0.512439i \(0.828742\pi\)
\(72\) −2.24874e6 + 818473.i −0.710027 + 0.258429i
\(73\) −1.40379e6 −0.422350 −0.211175 0.977448i \(-0.567729\pi\)
−0.211175 + 0.977448i \(0.567729\pi\)
\(74\) −72989.6 1.74279e6i −0.0209387 0.499959i
\(75\) 1.33426e6 0.365196
\(76\) 4.65107e6 1.69285e6i 1.21536 0.442356i
\(77\) −1.94049e6 706279.i −0.484388 0.176303i
\(78\) −400577. + 336124.i −0.0955773 + 0.0801989i
\(79\) 1.44584e6 + 8.19976e6i 0.329933 + 1.87114i 0.472464 + 0.881350i \(0.343365\pi\)
−0.142531 + 0.989790i \(0.545524\pi\)
\(80\) 163711. 0.0357488
\(81\) 504894. + 2.86339e6i 0.105561 + 0.598664i
\(82\) −206211. + 357167.i −0.0413012 + 0.0715357i
\(83\) −5.26463e6 4.41755e6i −1.01064 0.848024i −0.0222132 0.999753i \(-0.507071\pi\)
−0.988422 + 0.151730i \(0.951516\pi\)
\(84\) −599536. 1.03843e6i −0.110367 0.191161i
\(85\) 348232. 603156.i 0.0615039 0.106528i
\(86\) 3.42340e6 1.24602e6i 0.580381 0.211241i
\(87\) −2.84354e6 + 2.38601e6i −0.462958 + 0.388468i
\(88\) 1.81288e6 + 3.14000e6i 0.283582 + 0.491179i
\(89\) 1.42361e6 8.07368e6i 0.214055 1.21397i −0.668484 0.743726i \(-0.733057\pi\)
0.882539 0.470239i \(-0.155832\pi\)
\(90\) −59519.8 + 337553.i −0.00860622 + 0.0488083i
\(91\) 2.95225e6 + 2.47723e6i 0.410684 + 0.344605i
\(92\) 9.89810e6 + 3.60261e6i 1.32524 + 0.482348i
\(93\) 3.35456e6 + 1.22096e6i 0.432459 + 0.157402i
\(94\) −2.27050e6 1.90518e6i −0.281952 0.236586i
\(95\) 287332. 1.62954e6i 0.0343836 0.194999i
\(96\) −574539. + 3.25837e6i −0.0662781 + 0.375882i
\(97\) −2.13755e6 3.70235e6i −0.237802 0.411886i 0.722281 0.691600i \(-0.243094\pi\)
−0.960083 + 0.279714i \(0.909760\pi\)
\(98\) −1.31025e6 + 1.09943e6i −0.140625 + 0.117998i
\(99\) 5.07223e6 1.84614e6i 0.525383 0.191224i
\(100\) −3.69865e6 + 6.40626e6i −0.369865 + 0.640626i
\(101\) 6.97019e6 + 1.20727e7i 0.673162 + 1.16595i 0.977002 + 0.213228i \(0.0683979\pi\)
−0.303840 + 0.952723i \(0.598269\pi\)
\(102\) 1.62964e6 + 1.36743e6i 0.152052 + 0.127587i
\(103\) −7.93151e6 + 1.37378e7i −0.715197 + 1.23876i 0.247687 + 0.968840i \(0.420329\pi\)
−0.962884 + 0.269917i \(0.913004\pi\)
\(104\) −1.17501e6 6.66383e6i −0.102430 0.580908i
\(105\) −400859. −0.0337932
\(106\) 752239. + 4.26616e6i 0.0613459 + 0.347910i
\(107\) 7.71045e6 6.46983e6i 0.608466 0.510564i −0.285688 0.958323i \(-0.592222\pi\)
0.894154 + 0.447759i \(0.147778\pi\)
\(108\) 6.35783e6 + 2.31406e6i 0.485652 + 0.176763i
\(109\) −7.24400e6 + 2.63660e6i −0.535779 + 0.195007i −0.595717 0.803195i \(-0.703132\pi\)
0.0599381 + 0.998202i \(0.480910\pi\)
\(110\) 519322. 0.0372017
\(111\) −3.25361e6 + 4.22462e6i −0.225806 + 0.293196i
\(112\) 3.68539e6 0.247868
\(113\) −9.17790e6 + 3.34048e6i −0.598369 + 0.217788i −0.623406 0.781898i \(-0.714252\pi\)
0.0250375 + 0.999687i \(0.492029\pi\)
\(114\) 4.74941e6 + 1.72865e6i 0.300243 + 0.109280i
\(115\) 2.69753e6 2.26350e6i 0.165396 0.138783i
\(116\) −3.57362e6 2.02670e7i −0.212571 1.20555i
\(117\) −1.00737e7 −0.581483
\(118\) −36092.2 204689.i −0.00202221 0.0114685i
\(119\) 7.83928e6 1.35780e7i 0.426444 0.738622i
\(120\) 539162. + 452411.i 0.0284830 + 0.0239000i
\(121\) 5.65447e6 + 9.79383e6i 0.290164 + 0.502578i
\(122\) 8.31720e6 1.44058e7i 0.414684 0.718254i
\(123\) 1.18472e6 431203.i 0.0574048 0.0208936i
\(124\) −1.51613e7 + 1.27218e7i −0.714103 + 0.599203i
\(125\) 2.48948e6 + 4.31191e6i 0.114005 + 0.197462i
\(126\) −1.33989e6 + 7.59888e6i −0.0596721 + 0.338418i
\(127\) 2.60818e6 1.47917e7i 0.112986 0.640776i −0.874742 0.484590i \(-0.838969\pi\)
0.987728 0.156186i \(-0.0499200\pi\)
\(128\) −1.68851e7 1.41683e7i −0.711654 0.597148i
\(129\) −1.04652e7 3.80902e6i −0.429223 0.156224i
\(130\) −910745. 331484.i −0.0363576 0.0132331i
\(131\) −3.07698e7 2.58190e7i −1.19585 1.00343i −0.999739 0.0228524i \(-0.992725\pi\)
−0.196108 0.980582i \(-0.562830\pi\)
\(132\) 824612. 4.67661e6i 0.0312062 0.176979i
\(133\) 6.46832e6 3.66837e7i 0.238402 1.35205i
\(134\) 4.73423e6 + 8.19993e6i 0.169974 + 0.294404i
\(135\) 1.73270e6 1.45391e6i 0.0606115 0.0508591i
\(136\) −2.58682e7 + 9.41524e6i −0.881819 + 0.320956i
\(137\) 5.27398e6 9.13480e6i 0.175233 0.303513i −0.765009 0.644020i \(-0.777265\pi\)
0.940242 + 0.340507i \(0.110599\pi\)
\(138\) 5.37803e6 + 9.31501e6i 0.174199 + 0.301722i
\(139\) −1.03091e7 8.65035e6i −0.325588 0.273201i 0.465311 0.885147i \(-0.345942\pi\)
−0.790899 + 0.611946i \(0.790387\pi\)
\(140\) 1.11121e6 1.92466e6i 0.0342252 0.0592798i
\(141\) 1.57336e6 + 8.92296e6i 0.0472673 + 0.268066i
\(142\) 2.15698e7 0.632173
\(143\) 2.65035e6 + 1.50309e7i 0.0757927 + 0.429842i
\(144\) −7.37949e6 + 6.19213e6i −0.205948 + 0.172811i
\(145\) −6.46502e6 2.35308e6i −0.176109 0.0640985i
\(146\) 7.46807e6 2.71815e6i 0.198597 0.0722835i
\(147\) 5.22863e6 0.135762
\(148\) −1.12647e7 2.73326e7i −0.285630 0.693052i
\(149\) 341439. 0.00845593 0.00422796 0.999991i \(-0.498654\pi\)
0.00422796 + 0.999991i \(0.498654\pi\)
\(150\) −7.09817e6 + 2.58352e6i −0.171722 + 0.0625018i
\(151\) 3.35676e7 + 1.22176e7i 0.793416 + 0.288780i 0.706755 0.707458i \(-0.250158\pi\)
0.0866608 + 0.996238i \(0.472380\pi\)
\(152\) −5.01013e7 + 4.20400e7i −1.15717 + 0.970979i
\(153\) 7.11647e6 + 4.03595e7i 0.160637 + 0.911016i
\(154\) 1.16908e7 0.257942
\(155\) 1.14895e6 + 6.51599e6i 0.0247821 + 0.140546i
\(156\) −4.43122e6 + 7.67511e6i −0.0934518 + 0.161863i
\(157\) 4.32435e7 + 3.62856e7i 0.891809 + 0.748316i 0.968572 0.248733i \(-0.0800141\pi\)
−0.0767633 + 0.997049i \(0.524459\pi\)
\(158\) −2.35689e7 4.08225e7i −0.475378 0.823379i
\(159\) 6.62132e6 1.14685e7i 0.130634 0.226264i
\(160\) −5.76255e6 + 2.09740e6i −0.111223 + 0.0404819i
\(161\) 6.07259e7 5.09551e7i 1.14679 0.962270i
\(162\) −8.23036e6 1.42554e7i −0.152096 0.263437i
\(163\) −8.76818e6 + 4.97268e7i −0.158582 + 0.899361i 0.796856 + 0.604169i \(0.206495\pi\)
−0.955438 + 0.295192i \(0.904616\pi\)
\(164\) −1.21376e6 + 6.88358e6i −0.0214872 + 0.121860i
\(165\) −1.21613e6 1.02045e6i −0.0210759 0.0176848i
\(166\) 3.65611e7 + 1.33071e7i 0.620356 + 0.225791i
\(167\) −4.03736e7 1.46948e7i −0.670795 0.244149i −0.0159050 0.999874i \(-0.505063\pi\)
−0.654890 + 0.755724i \(0.727285\pi\)
\(168\) 1.21374e7 + 1.01845e7i 0.197490 + 0.165713i
\(169\) −5.94990e6 + 3.37435e7i −0.0948213 + 0.537758i
\(170\) −684681. + 3.88302e6i −0.0106885 + 0.0606176i
\(171\) 4.86833e7 + 8.43219e7i 0.744549 + 1.28960i
\(172\) 4.72986e7 3.96882e7i 0.708759 0.594719i
\(173\) 7.81454e7 2.84426e7i 1.14747 0.417645i 0.302865 0.953033i \(-0.402057\pi\)
0.844606 + 0.535388i \(0.179835\pi\)
\(174\) 1.05074e7 1.81993e7i 0.151207 0.261898i
\(175\) 2.78354e7 + 4.82123e7i 0.392613 + 0.680025i
\(176\) 1.11808e7 + 9.38180e6i 0.154589 + 0.129715i
\(177\) −317689. + 550254.i −0.00430622 + 0.00745859i
\(178\) 8.05953e6 + 4.57078e7i 0.107112 + 0.607464i
\(179\) −7.75238e7 −1.01030 −0.505149 0.863032i \(-0.668562\pi\)
−0.505149 + 0.863032i \(0.668562\pi\)
\(180\) 1.00875e6 + 5.72090e6i 0.0128923 + 0.0731157i
\(181\) 4.14142e6 3.47507e6i 0.0519128 0.0435600i −0.616462 0.787385i \(-0.711435\pi\)
0.668375 + 0.743825i \(0.266990\pi\)
\(182\) −2.05024e7 7.46225e6i −0.252089 0.0917530i
\(183\) −4.77839e7 + 1.73919e7i −0.576372 + 0.209782i
\(184\) −1.39185e8 −1.64714
\(185\) −9.79626e6 1.30741e6i −0.113752 0.0151814i
\(186\) −2.02101e7 −0.230289
\(187\) 5.83480e7 2.12369e7i 0.652500 0.237491i
\(188\) −4.72037e7 1.71807e7i −0.518112 0.188577i
\(189\) 3.90059e7 3.27299e7i 0.420256 0.352637i
\(190\) 1.62669e6 + 9.22539e6i 0.0172054 + 0.0975770i
\(191\) 7.86929e7 0.817182 0.408591 0.912718i \(-0.366020\pi\)
0.408591 + 0.912718i \(0.366020\pi\)
\(192\) −1.28940e6 7.31257e6i −0.0131472 0.0745617i
\(193\) −1.21539e6 + 2.10512e6i −0.0121693 + 0.0210778i −0.872046 0.489424i \(-0.837207\pi\)
0.859877 + 0.510502i \(0.170540\pi\)
\(194\) 1.85405e7 + 1.55573e7i 0.182312 + 0.152978i
\(195\) 1.48139e6 + 2.56585e6i 0.0143070 + 0.0247805i
\(196\) −1.44941e7 + 2.51045e7i −0.137497 + 0.238153i
\(197\) 9.30202e7 3.38566e7i 0.866853 0.315509i 0.129961 0.991519i \(-0.458515\pi\)
0.736892 + 0.676010i \(0.236292\pi\)
\(198\) −2.34092e7 + 1.96427e7i −0.214318 + 0.179834i
\(199\) −8.19265e7 1.41901e8i −0.736951 1.27644i −0.953862 0.300246i \(-0.902931\pi\)
0.216910 0.976192i \(-0.430402\pi\)
\(200\) 1.69735e7 9.62615e7i 0.150026 0.850840i
\(201\) 5.02619e6 2.85050e7i 0.0436569 0.247591i
\(202\) −6.04572e7 5.07296e7i −0.516082 0.433044i
\(203\) −1.45538e8 5.29716e7i −1.22107 0.444434i
\(204\) 3.38803e7 + 1.23314e7i 0.279409 + 0.101697i
\(205\) 1.79004e6 + 1.50202e6i 0.0145119 + 0.0121769i
\(206\) 1.55946e7 8.84416e7i 0.124291 0.704890i
\(207\) −3.59815e7 + 2.04061e8i −0.281957 + 1.59906i
\(208\) −1.36195e7 2.35897e7i −0.104940 0.181761i
\(209\) 1.13008e8 9.48251e7i 0.856244 0.718474i
\(210\) 2.13254e6 776181.i 0.0158902 0.00578356i
\(211\) −2.21739e7 + 3.84063e7i −0.162500 + 0.281458i −0.935765 0.352625i \(-0.885289\pi\)
0.773265 + 0.634083i \(0.218622\pi\)
\(212\) 3.67094e7 + 6.35826e7i 0.264607 + 0.458313i
\(213\) −5.05113e7 4.23840e7i −0.358146 0.300520i
\(214\) −2.84915e7 + 4.93487e7i −0.198732 + 0.344213i
\(215\) −3.58435e6 2.03279e7i −0.0245967 0.139495i
\(216\) −8.94027e7 −0.603618
\(217\) 2.58647e7 + 1.46686e8i 0.171829 + 0.974493i
\(218\) 3.34323e7 2.80530e7i 0.218559 0.183393i
\(219\) −2.28295e7 8.30928e6i −0.146873 0.0534575i
\(220\) 8.27074e6 3.01030e6i 0.0523679 0.0190604i
\(221\) −1.15882e8 −0.722174
\(222\) 9.12884e6 2.87746e7i 0.0559990 0.176512i
\(223\) 1.37437e8 0.829923 0.414961 0.909839i \(-0.363795\pi\)
0.414961 + 0.909839i \(0.363795\pi\)
\(224\) −1.29724e8 + 4.72158e7i −0.771176 + 0.280685i
\(225\) −1.36742e8 4.97700e7i −0.800319 0.291292i
\(226\) 4.23576e7 3.55422e7i 0.244091 0.204817i
\(227\) −1.12280e7 6.36774e7i −0.0637109 0.361322i −0.999950 0.00995990i \(-0.996830\pi\)
0.936240 0.351362i \(-0.114281\pi\)
\(228\) 8.56596e7 0.478635
\(229\) −1.63483e7 9.27161e7i −0.0899600 0.510189i −0.996176 0.0873729i \(-0.972153\pi\)
0.906216 0.422816i \(-0.138958\pi\)
\(230\) −9.96786e6 + 1.72648e7i −0.0540200 + 0.0935654i
\(231\) −2.73771e7 2.29721e7i −0.146132 0.122619i
\(232\) 1.35968e8 + 2.35503e8i 0.714870 + 1.23819i
\(233\) 1.34690e8 2.33290e8i 0.697574 1.20823i −0.271732 0.962373i \(-0.587596\pi\)
0.969305 0.245860i \(-0.0790703\pi\)
\(234\) 5.35911e7 1.95056e7i 0.273424 0.0995183i
\(235\) −1.28644e7 + 1.07945e7i −0.0646626 + 0.0542584i
\(236\) −1.76131e6 3.05067e6i −0.00872255 0.0151079i
\(237\) −2.50224e7 + 1.41909e8i −0.122098 + 0.692453i
\(238\) −1.54133e7 + 8.74132e7i −0.0741099 + 0.420298i
\(239\) 1.11336e8 + 9.34222e7i 0.527526 + 0.442647i 0.867246 0.497880i \(-0.165888\pi\)
−0.339720 + 0.940527i \(0.610332\pi\)
\(240\) 2.66239e6 + 969030.i 0.0124317 + 0.00452478i
\(241\) −2.69367e8 9.80414e7i −1.23961 0.451180i −0.362730 0.931894i \(-0.618155\pi\)
−0.876877 + 0.480714i \(0.840377\pi\)
\(242\) −4.90451e7 4.11537e7i −0.222455 0.186662i
\(243\) −3.55173e7 + 2.01429e8i −0.158788 + 0.900532i
\(244\) 4.89552e7 2.77639e8i 0.215742 1.22353i
\(245\) 4.84549e6 + 8.39263e6i 0.0210502 + 0.0364600i
\(246\) −5.46768e6 + 4.58793e6i −0.0234170 + 0.0196492i
\(247\) −2.58711e8 + 9.41633e7i −1.09239 + 0.397596i
\(248\) 1.30762e8 2.26486e8i 0.544377 0.942888i
\(249\) −5.94692e7 1.03004e8i −0.244115 0.422820i
\(250\) −2.15930e7 1.81186e7i −0.0874021 0.0733391i
\(251\) 5.89381e6 1.02084e7i 0.0235255 0.0407473i −0.854023 0.520235i \(-0.825844\pi\)
0.877548 + 0.479488i \(0.159178\pi\)
\(252\) 2.27086e7 + 1.28787e8i 0.0893899 + 0.506955i
\(253\) 3.13946e8 1.21880
\(254\) 1.47658e7 + 8.37411e7i 0.0565379 + 0.320642i
\(255\) 9.23339e6 7.74774e6i 0.0348715 0.0292607i
\(256\) 1.68868e8 + 6.14629e7i 0.629083 + 0.228967i
\(257\) 2.90726e7 1.05816e7i 0.106836 0.0388852i −0.288049 0.957616i \(-0.593007\pi\)
0.394885 + 0.918730i \(0.370784\pi\)
\(258\) 6.30494e7 0.228566
\(259\) −2.20530e8 2.94320e7i −0.788712 0.105262i
\(260\) −1.64260e7 −0.0579597
\(261\) 3.80422e8 1.38462e8i 1.32441 0.482048i
\(262\) 2.13686e8 + 7.77754e7i 0.734044 + 0.267170i
\(263\) −2.84960e8 + 2.39110e8i −0.965914 + 0.810498i −0.981905 0.189374i \(-0.939354\pi\)
0.0159913 + 0.999872i \(0.494910\pi\)
\(264\) 1.08963e7 + 6.17958e7i 0.0364472 + 0.206702i
\(265\) 2.45445e7 0.0810202
\(266\) 3.66194e7 + 2.07679e8i 0.119296 + 0.676560i
\(267\) 7.09412e7 1.22874e8i 0.228091 0.395066i
\(268\) 1.22929e8 + 1.03150e8i 0.390107 + 0.327339i
\(269\) 9.62426e7 + 1.66697e8i 0.301463 + 0.522150i 0.976468 0.215664i \(-0.0691916\pi\)
−0.675004 + 0.737814i \(0.735858\pi\)
\(270\) −6.40264e6 + 1.10897e7i −0.0197964 + 0.0342883i
\(271\) −2.57447e8 + 9.37030e7i −0.785769 + 0.285997i −0.703576 0.710620i \(-0.748415\pi\)
−0.0821930 + 0.996616i \(0.526192\pi\)
\(272\) −8.48895e7 + 7.12307e7i −0.255778 + 0.214623i
\(273\) 3.33486e7 + 5.77615e7i 0.0991992 + 0.171818i
\(274\) −1.03695e7 + 5.88084e7i −0.0304531 + 0.172708i
\(275\) −3.82853e7 + 2.17127e8i −0.111011 + 0.629577i
\(276\) 1.39646e8 + 1.17177e8i 0.399804 + 0.335475i
\(277\) 4.15917e8 + 1.51381e8i 1.17578 + 0.427950i 0.854711 0.519105i \(-0.173734\pi\)
0.321072 + 0.947055i \(0.395957\pi\)
\(278\) 7.15931e7 + 2.60578e7i 0.199855 + 0.0727412i
\(279\) −2.98249e8 2.50261e8i −0.822175 0.689887i
\(280\) −5.09944e6 + 2.89203e7i −0.0138825 + 0.0787318i
\(281\) 1.74204e6 9.87962e6i 0.00468368 0.0265624i −0.982376 0.186914i \(-0.940152\pi\)
0.987060 + 0.160351i \(0.0512627\pi\)
\(282\) −2.56476e7 4.44230e7i −0.0681044 0.117960i
\(283\) −2.45717e8 + 2.06181e8i −0.644441 + 0.540750i −0.905379 0.424605i \(-0.860413\pi\)
0.260937 + 0.965356i \(0.415968\pi\)
\(284\) 3.43521e8 1.25031e8i 0.889895 0.323895i
\(285\) 1.43183e7 2.48001e7i 0.0366383 0.0634594i
\(286\) −4.32039e7 7.48313e7i −0.109205 0.189148i
\(287\) 4.02968e7 + 3.38130e7i 0.100620 + 0.0844301i
\(288\) 1.80424e8 3.12504e8i 0.445062 0.770871i
\(289\) 1.06093e7 + 6.01681e7i 0.0258549 + 0.146630i
\(290\) 3.89497e7 0.0937801
\(291\) −1.28477e7 7.28631e7i −0.0305633 0.173333i
\(292\) 1.03181e8 8.65788e7i 0.242526 0.203503i
\(293\) −7.07228e8 2.57410e8i −1.64257 0.597845i −0.655082 0.755558i \(-0.727366\pi\)
−0.987485 + 0.157713i \(0.949588\pi\)
\(294\) −2.78159e7 + 1.01242e7i −0.0638378 + 0.0232350i
\(295\) −1.17764e6 −0.00267076
\(296\) 2.63399e8 + 2.88477e8i 0.590329 + 0.646533i
\(297\) 2.01656e8 0.446646
\(298\) −1.81643e6 + 661126.i −0.00397614 + 0.00144720i
\(299\) −5.50572e8 2.00392e8i −1.19115 0.433542i
\(300\) −9.80700e7 + 8.22905e7i −0.209707 + 0.175965i
\(301\) −8.06897e7 4.57614e8i −0.170544 0.967200i
\(302\) −2.02234e8 −0.422503
\(303\) 4.18942e7 + 2.37594e8i 0.0865176 + 0.490666i
\(304\) −1.31639e8 + 2.28006e8i −0.268737 + 0.465466i
\(305\) −7.21987e7 6.05819e7i −0.145707 0.122263i
\(306\) −1.16007e8 2.00930e8i −0.231451 0.400885i
\(307\) 1.49744e8 2.59364e8i 0.295369 0.511595i −0.679701 0.733489i \(-0.737891\pi\)
0.975071 + 0.221894i \(0.0712239\pi\)
\(308\) 1.86188e8 6.77669e7i 0.363098 0.132157i
\(309\) −2.10304e8 + 1.76466e8i −0.405503 + 0.340257i
\(310\) −1.87292e7 3.24399e7i −0.0357069 0.0618462i
\(311\) 1.32439e8 7.51099e8i 0.249663 1.41591i −0.559745 0.828665i \(-0.689101\pi\)
0.809409 0.587246i \(-0.199788\pi\)
\(312\) 2.03353e7 1.15327e8i 0.0379062 0.214977i
\(313\) 1.10896e8 + 9.30531e7i 0.204415 + 0.171524i 0.739248 0.673433i \(-0.235181\pi\)
−0.534833 + 0.844958i \(0.679626\pi\)
\(314\) −3.00311e8 1.09304e8i −0.547417 0.199243i
\(315\) 4.10821e7 + 1.49527e7i 0.0740569 + 0.0269545i
\(316\) −6.11991e8 5.13521e8i −1.09104 0.915490i
\(317\) −4.26091e6 + 2.41648e7i −0.00751268 + 0.0426065i −0.988334 0.152304i \(-0.951331\pi\)
0.980821 + 0.194911i \(0.0624417\pi\)
\(318\) −1.30186e7 + 7.38322e7i −0.0227023 + 0.128751i
\(319\) −3.06687e8 5.31198e8i −0.528967 0.916197i
\(320\) 1.05427e7 8.84638e6i 0.0179857 0.0150918i
\(321\) 1.63689e8 5.95780e7i 0.276218 0.100535i
\(322\) −2.24393e8 + 3.88660e8i −0.374553 + 0.648746i
\(323\) 5.60024e8 + 9.69991e8i 0.924694 + 1.60162i
\(324\) −2.13710e8 1.79324e8i −0.349074 0.292908i
\(325\) 2.05734e8 3.56342e8i 0.332441 0.575804i
\(326\) −4.96397e7 2.81521e8i −0.0793537 0.450037i
\(327\) −1.33414e8 −0.211001
\(328\) −1.60384e7 9.09582e7i −0.0250959 0.142326i
\(329\) −2.89600e8 + 2.43003e8i −0.448345 + 0.376206i
\(330\) 8.44562e6 + 3.07395e6i 0.0129370 + 0.00470867i
\(331\) −7.31013e8 + 2.66067e8i −1.10797 + 0.403267i −0.830247 0.557395i \(-0.811801\pi\)
−0.277720 + 0.960662i \(0.589579\pi\)
\(332\) 6.59409e8 0.988944
\(333\) 4.91032e8 3.11597e8i 0.728710 0.462421i
\(334\) 2.43238e8 0.357206
\(335\) 5.04120e7 1.83485e7i 0.0732617 0.0266651i
\(336\) 5.99347e7 + 2.18145e7i 0.0861968 + 0.0313731i
\(337\) 3.87298e8 3.24982e8i 0.551241 0.462546i −0.324120 0.946016i \(-0.605068\pi\)
0.875361 + 0.483470i \(0.160624\pi\)
\(338\) −3.36844e7 1.91034e8i −0.0474483 0.269093i
\(339\) −1.69031e8 −0.235650
\(340\) 1.16041e7 + 6.58099e7i 0.0160116 + 0.0908062i
\(341\) −2.94945e8 + 5.10860e8i −0.402810 + 0.697688i
\(342\) −4.22263e8 3.54321e8i −0.570810 0.478967i
\(343\) 4.06419e8 + 7.03938e8i 0.543806 + 0.941900i
\(344\) −4.07936e8 + 7.06565e8i −0.540303 + 0.935832i
\(345\) 5.72673e7 2.08436e7i 0.0750828 0.0273279i
\(346\) −3.60654e8 + 3.02625e8i −0.468085 + 0.392770i
\(347\) 1.11768e8 + 1.93588e8i 0.143603 + 0.248728i 0.928851 0.370453i \(-0.120798\pi\)
−0.785248 + 0.619182i \(0.787464\pi\)
\(348\) 6.18467e7 3.50750e8i 0.0786664 0.446139i
\(349\) 2.56194e8 1.45295e9i 0.322611 1.82962i −0.203344 0.979107i \(-0.565181\pi\)
0.525956 0.850512i \(-0.323708\pi\)
\(350\) −2.41435e8 2.02588e8i −0.300997 0.252567i
\(351\) −3.53648e8 1.28717e8i −0.436512 0.158877i
\(352\) −5.13755e8 1.86992e8i −0.627851 0.228519i
\(353\) 1.14706e9 + 9.62499e8i 1.38795 + 1.16463i 0.966161 + 0.257941i \(0.0830439\pi\)
0.421794 + 0.906692i \(0.361400\pi\)
\(354\) 624629. 3.54245e6i 0.000748361 0.00424416i
\(355\) 2.12219e7 1.20355e8i 0.0251759 0.142780i
\(356\) 3.93307e8 + 6.81227e8i 0.462015 + 0.800234i
\(357\) 2.07859e8 1.74414e8i 0.241785 0.202882i
\(358\) 4.12420e8 1.50109e8i 0.475061 0.172908i
\(359\) −6.68137e7 + 1.15725e8i −0.0762140 + 0.132007i −0.901614 0.432542i \(-0.857617\pi\)
0.825400 + 0.564549i \(0.190950\pi\)
\(360\) −3.83805e7 6.64770e7i −0.0433563 0.0750952i
\(361\) 1.35373e9 + 1.13592e9i 1.51446 + 1.27078i
\(362\) −1.53033e7 + 2.65061e7i −0.0169553 + 0.0293674i
\(363\) 3.39861e7 + 1.92745e8i 0.0372930 + 0.211499i
\(364\) −3.69777e8 −0.401870
\(365\) −7.81918e6 4.43447e7i −0.00841659 0.0477328i
\(366\) 2.20531e8 1.85047e8i 0.235118 0.197287i
\(367\) −3.72463e8 1.35565e8i −0.393325 0.143159i 0.137783 0.990462i \(-0.456002\pi\)
−0.531109 + 0.847304i \(0.678224\pi\)
\(368\) −5.26501e8 + 1.91631e8i −0.550722 + 0.200446i
\(369\) −1.37501e8 −0.142466
\(370\) 5.46469e7 1.20131e7i 0.0560866 0.0123296i
\(371\) 5.52537e8 0.561762
\(372\) −3.21867e8 + 1.17150e8i −0.324173 + 0.117989i
\(373\) 1.96803e8 + 7.16305e7i 0.196359 + 0.0714689i 0.438328 0.898815i \(-0.355571\pi\)
−0.241969 + 0.970284i \(0.577793\pi\)
\(374\) −2.69286e8 + 2.25958e8i −0.266173 + 0.223345i
\(375\) 1.49630e7 + 8.48592e7i 0.0146524 + 0.0830977i
\(376\) 6.63770e8 0.643962
\(377\) 1.98779e8 + 1.12733e9i 0.191063 + 1.08357i
\(378\) −1.44134e8 + 2.49647e8i −0.137260 + 0.237742i
\(379\) 3.65492e8 + 3.06684e8i 0.344858 + 0.289370i 0.798721 0.601701i \(-0.205510\pi\)
−0.453863 + 0.891071i \(0.649955\pi\)
\(380\) 7.93826e7 + 1.37495e8i 0.0742135 + 0.128541i
\(381\) 1.29971e8 2.25116e8i 0.120395 0.208530i
\(382\) −4.18640e8 + 1.52373e8i −0.384255 + 0.139857i
\(383\) 4.93428e8 4.14035e8i 0.448774 0.376566i −0.390206 0.920727i \(-0.627596\pi\)
0.838981 + 0.544161i \(0.183152\pi\)
\(384\) −1.90734e8 3.30361e8i −0.171897 0.297735i
\(385\) 1.15022e7 6.52325e7i 0.0102724 0.0582574i
\(386\) 2.38966e6 1.35524e7i 0.00211485 0.0119939i
\(387\) 9.30444e8 + 7.80735e8i 0.816022 + 0.684724i
\(388\) 3.85456e8 + 1.40294e8i 0.335014 + 0.121935i
\(389\) −8.25960e8 3.00625e8i −0.711435 0.258941i −0.0391497 0.999233i \(-0.512465\pi\)
−0.672285 + 0.740292i \(0.734687\pi\)
\(390\) −1.28491e7 1.07817e7i −0.0109685 0.00920367i
\(391\) −4.13910e8 + 2.34740e9i −0.350177 + 1.98595i
\(392\) 6.65149e7 3.77225e8i 0.0557722 0.316300i
\(393\) −3.47576e8 6.02019e8i −0.288852 0.500307i
\(394\) −4.29304e8 + 3.60229e8i −0.353613 + 0.296717i
\(395\) −2.50971e8 + 9.13459e7i −0.204896 + 0.0745761i
\(396\) −2.58955e8 + 4.48524e8i −0.209552 + 0.362954i
\(397\) −8.42399e8 1.45908e9i −0.675695 1.17034i −0.976265 0.216579i \(-0.930510\pi\)
0.300570 0.953760i \(-0.402823\pi\)
\(398\) 7.10605e8 + 5.96268e8i 0.564986 + 0.474079i
\(399\) 3.22329e8 5.58291e8i 0.254036 0.440003i
\(400\) −6.83269e7 3.87501e8i −0.0533804 0.302735i
\(401\) 2.25684e9 1.74781 0.873907 0.486094i \(-0.161579\pi\)
0.873907 + 0.486094i \(0.161579\pi\)
\(402\) 2.84550e7 + 1.61376e8i 0.0218458 + 0.123894i
\(403\) 8.43333e8 7.07640e8i 0.641847 0.538573i
\(404\) −1.25690e9 4.57475e8i −0.948346 0.345170i
\(405\) −8.76402e7 + 3.18984e7i −0.0655557 + 0.0238603i
\(406\) 8.76821e8 0.650234
\(407\) −5.94122e8 6.50687e8i −0.436812 0.478401i
\(408\) −4.76418e8 −0.347279
\(409\) −5.84788e7 + 2.12845e7i −0.0422636 + 0.0153827i −0.363065 0.931764i \(-0.618270\pi\)
0.320802 + 0.947146i \(0.396048\pi\)
\(410\) −1.24312e7 4.52460e6i −0.00890781 0.00324218i
\(411\) 1.39840e8 1.17340e8i 0.0993539 0.0833678i
\(412\) −2.64300e8 1.49892e9i −0.186190 1.05594i
\(413\) −2.65106e7 −0.0185180
\(414\) −2.03703e8 1.15526e9i −0.141090 0.800163i
\(415\) 1.10223e8 1.90912e8i 0.0757013 0.131118i
\(416\) 7.81625e8 + 6.55861e8i 0.532319 + 0.446669i
\(417\) −1.16451e8 2.01700e8i −0.0786445 0.136216i
\(418\) −4.17585e8 + 7.23279e8i −0.279659 + 0.484383i
\(419\) −1.08093e9 + 3.93427e8i −0.717876 + 0.261285i −0.675024 0.737796i \(-0.735867\pi\)
−0.0428519 + 0.999081i \(0.513644\pi\)
\(420\) 2.94637e7 2.47230e7i 0.0194050 0.0162828i
\(421\) −9.42356e8 1.63221e9i −0.615499 1.06608i −0.990297 0.138969i \(-0.955621\pi\)
0.374798 0.927107i \(-0.377712\pi\)
\(422\) 4.35975e7 2.47253e8i 0.0282402 0.160158i
\(423\) 1.71594e8 9.73160e8i 0.110233 0.625162i
\(424\) −7.43171e8 6.23595e8i −0.473487 0.397303i
\(425\) −1.57300e9 5.72526e8i −0.993957 0.361771i
\(426\) 3.50784e8 + 1.27675e8i 0.219840 + 0.0800151i
\(427\) −1.62531e9 1.36380e9i −1.01027 0.847720i
\(428\) −1.67702e8 + 9.51083e8i −0.103391 + 0.586361i
\(429\) −4.58683e7 + 2.60132e8i −0.0280486 + 0.159072i
\(430\) 5.84292e7 + 1.01202e8i 0.0354397 + 0.0613834i
\(431\) −5.02712e8 + 4.21826e8i −0.302447 + 0.253783i −0.781362 0.624078i \(-0.785475\pi\)
0.478915 + 0.877861i \(0.341030\pi\)
\(432\) −3.38186e8 + 1.23090e8i −0.201819 + 0.0734563i
\(433\) 4.70667e8 8.15219e8i 0.278616 0.482577i −0.692425 0.721490i \(-0.743458\pi\)
0.971041 + 0.238913i \(0.0767911\pi\)
\(434\) −4.21625e8 7.30275e8i −0.247578 0.428817i
\(435\) −9.12109e7 7.65350e7i −0.0531293 0.0445808i
\(436\) 3.69831e8 6.40567e8i 0.213698 0.370136i
\(437\) 9.83379e8 + 5.57702e9i 0.563684 + 3.19681i
\(438\) 1.37541e8 0.0782117
\(439\) −7.09091e6 4.02146e7i −0.00400015 0.0226860i 0.982742 0.184980i \(-0.0592219\pi\)
−0.986743 + 0.162294i \(0.948111\pi\)
\(440\) −8.90923e7 + 7.47574e7i −0.0498604 + 0.0418379i
\(441\) −5.35857e8 1.95036e8i −0.297518 0.108288i
\(442\) 6.16481e8 2.24381e8i 0.339580 0.123597i
\(443\) −6.82268e7 −0.0372857 −0.0186428 0.999826i \(-0.505935\pi\)
−0.0186428 + 0.999826i \(0.505935\pi\)
\(444\) −2.14088e7 5.11182e8i −0.0116078 0.277163i
\(445\) 2.62971e8 0.141465
\(446\) −7.31156e8 + 2.66119e8i −0.390246 + 0.142038i
\(447\) 5.55274e6 + 2.02103e6i 0.00294057 + 0.00107028i
\(448\) 2.37334e8 1.99147e8i 0.124706 0.104640i
\(449\) −5.47237e8 3.10354e9i −0.285308 1.61806i −0.704184 0.710017i \(-0.748687\pi\)
0.418877 0.908043i \(-0.362424\pi\)
\(450\) 8.23826e8 0.426179
\(451\) 3.61760e7 + 2.05165e8i 0.0185696 + 0.105314i
\(452\) 4.68564e8 8.11577e8i 0.238663 0.413376i
\(453\) 4.73584e8 + 3.97384e8i 0.239361 + 0.200848i
\(454\) 1.83030e8 + 3.17018e8i 0.0917969 + 0.158997i
\(455\) −6.18097e7 + 1.07058e8i −0.0307622 + 0.0532816i
\(456\) −1.06363e9 + 3.87129e8i −0.525306 + 0.191196i
\(457\) 2.88640e8 2.42197e8i 0.141465 0.118703i −0.569309 0.822124i \(-0.692789\pi\)
0.710774 + 0.703420i \(0.248345\pi\)
\(458\) 2.66497e8 + 4.61587e8i 0.129618 + 0.224504i
\(459\) −2.65866e8 + 1.50780e9i −0.128327 + 0.727779i
\(460\) −5.86711e7 + 3.32740e8i −0.0281042 + 0.159387i
\(461\) −1.70644e8 1.43187e8i −0.0811217 0.0680692i 0.601325 0.799004i \(-0.294640\pi\)
−0.682447 + 0.730935i \(0.739084\pi\)
\(462\) 1.90125e8 + 6.91997e7i 0.0896998 + 0.0326481i
\(463\) 8.94426e8 + 3.25544e8i 0.418804 + 0.152432i 0.542822 0.839848i \(-0.317356\pi\)
−0.124018 + 0.992280i \(0.539578\pi\)
\(464\) 8.38570e8 + 7.03643e8i 0.389696 + 0.326994i
\(465\) −1.98842e7 + 1.12769e8i −0.00917113 + 0.0520120i
\(466\) −2.64823e8 + 1.50188e9i −0.121228 + 0.687521i
\(467\) −1.33328e9 2.30932e9i −0.605778 1.04924i −0.991928 0.126803i \(-0.959528\pi\)
0.386150 0.922436i \(-0.373805\pi\)
\(468\) 7.40428e8 6.21293e8i 0.333905 0.280179i
\(469\) 1.13486e9 4.13054e8i 0.507968 0.184885i
\(470\) 4.75364e7 8.23355e7i 0.0211195 0.0365801i
\(471\) 4.88478e8 + 8.46069e8i 0.215413 + 0.373106i
\(472\) 3.56572e7 + 2.99199e7i 0.0156081 + 0.0130967i
\(473\) 9.20136e8 1.59372e9i 0.399796 0.692467i
\(474\) −1.41660e8 8.03395e8i −0.0610976 0.346501i
\(475\) −3.97703e9 −1.70267
\(476\) 2.61227e8 + 1.48149e9i 0.111018 + 0.629614i
\(477\) −1.10638e9 + 9.28362e8i −0.466755 + 0.391654i
\(478\) −7.73193e8 2.81419e8i −0.323810 0.117857i
\(479\) −1.85874e9 + 6.76526e8i −0.772760 + 0.281262i −0.698150 0.715951i \(-0.745993\pi\)
−0.0746096 + 0.997213i \(0.523771\pi\)
\(480\) −1.06130e8 −0.0438019
\(481\) 6.26588e8 + 1.52035e9i 0.256728 + 0.622926i
\(482\) 1.62285e9 0.660105
\(483\) 1.28918e9 4.69224e8i 0.520594 0.189481i
\(484\) −1.01965e9 3.71121e8i −0.408781 0.148784i
\(485\) 1.05048e8 8.81460e7i 0.0418112 0.0350838i
\(486\) −2.01076e8 1.14036e9i −0.0794571 0.450623i
\(487\) 4.18747e9 1.64286 0.821430 0.570309i \(-0.193177\pi\)
0.821430 + 0.570309i \(0.193177\pi\)
\(488\) 6.46884e8 + 3.66866e9i 0.251975 + 1.42902i
\(489\) −4.36936e8 + 7.56795e8i −0.168981 + 0.292683i
\(490\) −4.20282e7 3.52658e7i −0.0161382 0.0135415i
\(491\) 1.04876e9 + 1.81651e9i 0.399846 + 0.692553i 0.993707 0.112015i \(-0.0357304\pi\)
−0.593861 + 0.804568i \(0.702397\pi\)
\(492\) −6.04841e7 + 1.04762e8i −0.0228962 + 0.0396574i
\(493\) 4.37616e9 1.59279e9i 1.64486 0.598680i
\(494\) 1.19400e9 1.00188e9i 0.445614 0.373915i
\(495\) 8.65707e7 + 1.49945e8i 0.0320814 + 0.0555666i
\(496\) 1.82810e8 1.03677e9i 0.0672689 0.381501i
\(497\) 4.77740e8 2.70940e9i 0.174560 0.989977i
\(498\) 5.15817e8 + 4.32822e8i 0.187151 + 0.157039i
\(499\) −3.69142e8 1.34357e8i −0.132997 0.0484069i 0.274664 0.961540i \(-0.411433\pi\)
−0.407661 + 0.913133i \(0.633656\pi\)
\(500\) −4.48917e8 1.63392e8i −0.160609 0.0584570i
\(501\) −5.69606e8 4.77956e8i −0.202368 0.169807i
\(502\) −1.15882e7 + 6.57200e7i −0.00408840 + 0.0231865i
\(503\) −6.70002e8 + 3.79977e9i −0.234741 + 1.33128i 0.608418 + 0.793616i \(0.291804\pi\)
−0.843159 + 0.537664i \(0.819307\pi\)
\(504\) −8.64008e8 1.49651e9i −0.300615 0.520681i
\(505\) −3.42544e8 + 2.87429e8i −0.118358 + 0.0993139i
\(506\) −1.67017e9 + 6.07891e8i −0.573103 + 0.208593i
\(507\) −2.96495e8 + 5.13545e8i −0.101039 + 0.175005i
\(508\) 7.20575e8 + 1.24807e9i 0.243869 + 0.422393i
\(509\) −2.20066e9 1.84657e9i −0.739673 0.620659i 0.193077 0.981184i \(-0.438153\pi\)
−0.932750 + 0.360524i \(0.882598\pi\)
\(510\) −3.41190e7 + 5.90959e7i −0.0113894 + 0.0197270i
\(511\) −1.76023e8 9.98273e8i −0.0583573 0.330961i
\(512\) 1.80399e9 0.594005
\(513\) 6.31652e8 + 3.58228e9i 0.206570 + 1.17152i
\(514\) −1.34175e8 + 1.12586e8i −0.0435814 + 0.0365691i
\(515\) −4.78145e8 1.74030e8i −0.154253 0.0561436i
\(516\) 1.00413e9 3.65472e8i 0.321747 0.117106i
\(517\) −1.49720e9 −0.476499
\(518\) 1.23019e9 2.70434e8i 0.388882 0.0854885i
\(519\) 1.43922e9 0.451898
\(520\) 2.03961e8 7.42356e7i 0.0636114 0.0231526i
\(521\) −4.20191e8 1.52937e8i −0.130171 0.0473785i 0.276113 0.961125i \(-0.410954\pi\)
−0.406284 + 0.913747i \(0.633176\pi\)
\(522\) −1.75571e9 + 1.47322e9i −0.540265 + 0.453336i
\(523\) 2.64434e7 + 1.49968e8i 0.00808278 + 0.0458397i 0.988582 0.150681i \(-0.0481467\pi\)
−0.980500 + 0.196521i \(0.937036\pi\)
\(524\) 3.85401e9 1.17018
\(525\) 1.67304e8 + 9.48828e8i 0.0504602 + 0.286174i
\(526\) 1.05298e9 1.82381e9i 0.315478 0.546424i
\(527\) −3.43088e9 2.87885e9i −1.02110 0.856806i
\(528\) 1.26298e8 + 2.18755e8i 0.0373403 + 0.0646754i
\(529\) −4.32345e9 + 7.48844e9i −1.26980 + 2.19936i
\(530\) −1.30575e8 + 4.75253e7i −0.0380973 + 0.0138663i
\(531\) 5.30838e7 4.45426e7i 0.0153862 0.0129105i
\(532\) 1.78703e9 + 3.09523e9i 0.514567 + 0.891256i
\(533\) 6.75142e7 3.82892e8i 0.0193130 0.109530i
\(534\) −1.39482e8 + 7.91042e8i −0.0396391 + 0.224805i
\(535\) 2.47325e8 + 2.07530e8i 0.0698279 + 0.0585926i
\(536\) −1.99258e9 7.25239e8i −0.558905 0.203425i
\(537\) −1.26075e9 4.58876e8i −0.351333 0.127875i
\(538\) −8.34778e8 7.00462e8i −0.231118 0.193931i
\(539\) −1.50030e8 + 8.50865e8i −0.0412685 + 0.234045i
\(540\) −3.76861e7 + 2.13728e8i −0.0102992 + 0.0584096i
\(541\) −1.87717e8 3.25135e8i −0.0509698 0.0882823i 0.839415 0.543491i \(-0.182898\pi\)
−0.890385 + 0.455209i \(0.849565\pi\)
\(542\) 1.18816e9 9.96985e8i 0.320537 0.268962i
\(543\) 8.79205e7 3.20004e7i 0.0235663 0.00857741i
\(544\) 2.07549e9 3.59486e9i 0.552746 0.957384i
\(545\) −1.23637e8 2.14146e8i −0.0327162 0.0566661i
\(546\) −2.89255e8 2.42714e8i −0.0760513 0.0638146i
\(547\) 2.59646e9 4.49720e9i 0.678307 1.17486i −0.297184 0.954820i \(-0.596047\pi\)
0.975491 0.220041i \(-0.0706192\pi\)
\(548\) 1.75744e8 + 9.96693e8i 0.0456192 + 0.258720i
\(549\) 5.54589e9 1.43043
\(550\) −2.16746e8 1.22923e9i −0.0555498 0.315038i
\(551\) 8.47571e9 7.11197e9i 2.15847 1.81117i
\(552\) −2.26354e9 8.23861e8i −0.572798 0.208481i
\(553\) −5.64977e9 + 2.05635e9i −1.42067 + 0.517081i
\(554\) −2.50576e9 −0.626118
\(555\) −1.51575e8 7.92478e7i −0.0376360 0.0196771i
\(556\) 1.29124e9 0.318600
\(557\) −3.97691e9 + 1.44748e9i −0.975108 + 0.354910i −0.779936 0.625859i \(-0.784749\pi\)
−0.195171 + 0.980769i \(0.562526\pi\)
\(558\) 2.07124e9 + 7.53870e8i 0.504674 + 0.183686i
\(559\) −2.63094e9 + 2.20762e9i −0.637043 + 0.534543i
\(560\) 2.05278e7 + 1.16419e8i 0.00493951 + 0.0280134i
\(561\) 1.07461e9 0.256968
\(562\) 9.86231e6 + 5.59319e7i 0.00234370 + 0.0132918i
\(563\) 8.55486e8 1.48174e9i 0.202038 0.349940i −0.747147 0.664659i \(-0.768577\pi\)
0.949185 + 0.314719i \(0.101910\pi\)
\(564\) −6.65967e8 5.58813e8i −0.156306 0.131156i
\(565\) −1.56645e8 2.71316e8i −0.0365381 0.0632858i
\(566\) 9.07970e8 1.57265e9i 0.210481 0.364565i
\(567\) −1.97292e9 + 7.18086e8i −0.454538 + 0.165438i
\(568\) −3.70040e9 + 3.10501e9i −0.847285 + 0.710957i
\(569\) −2.94503e9 5.10094e9i −0.670188 1.16080i −0.977851 0.209304i \(-0.932880\pi\)
0.307662 0.951496i \(-0.400453\pi\)
\(570\) −2.81522e7 + 1.59659e8i −0.00636723 + 0.0361103i
\(571\) −7.34723e8 + 4.16682e9i −0.165157 + 0.936653i 0.783745 + 0.621083i \(0.213307\pi\)
−0.948902 + 0.315570i \(0.897804\pi\)
\(572\) −1.12183e9 9.41331e8i −0.250635 0.210308i
\(573\) 1.27976e9 + 4.65796e8i 0.284177 + 0.103432i
\(574\) −2.79848e8 1.01856e8i −0.0617632 0.0224800i
\(575\) −6.48352e9 5.44032e9i −1.42224 1.19340i
\(576\) −1.40625e8 + 7.97527e8i −0.0306609 + 0.173887i
\(577\) −8.81392e8 + 4.99862e9i −0.191009 + 1.08327i 0.726980 + 0.686659i \(0.240923\pi\)
−0.917989 + 0.396606i \(0.870188\pi\)
\(578\) −1.72943e8 2.99547e8i −0.0372526 0.0645234i
\(579\) −3.22261e7 + 2.70409e7i −0.00689975 + 0.00578958i
\(580\) 6.20314e8 2.25776e8i 0.132012 0.0480484i
\(581\) 2.48130e9 4.29773e9i 0.524883 0.909124i
\(582\) 2.09433e8 + 3.62749e8i 0.0440367 + 0.0762738i
\(583\) 1.67629e9 + 1.40658e9i 0.350356 + 0.293984i
\(584\) −8.89901e8 + 1.54135e9i −0.184883 + 0.320227i
\(585\) −5.61107e7 3.18220e8i −0.0115878 0.0657175i
\(586\) 4.26082e9 0.874685
\(587\) −2.02685e8 1.14949e9i −0.0413608 0.234569i 0.957119 0.289697i \(-0.0935544\pi\)
−0.998479 + 0.0551280i \(0.982443\pi\)
\(588\) −3.84311e8 + 3.22476e8i −0.0779584 + 0.0654148i
\(589\) −9.99892e9 3.63931e9i −2.01627 0.733864i
\(590\) 6.26494e6 2.28025e6i 0.00125584 0.000457089i
\(591\) 1.71317e9 0.341385
\(592\) 1.39355e9 + 7.28584e8i 0.276055 + 0.144329i
\(593\) −5.69145e8 −0.112081 −0.0560404 0.998428i \(-0.517848\pi\)
−0.0560404 + 0.998428i \(0.517848\pi\)
\(594\) −1.07279e9 + 3.90465e8i −0.210022 + 0.0764416i
\(595\) 4.72585e8 + 1.72007e8i 0.0919751 + 0.0334762i
\(596\) −2.50962e7 + 2.10582e7i −0.00485564 + 0.00407437i
\(597\) −4.92418e8 2.79264e9i −0.0947160 0.537161i
\(598\) 3.31702e9 0.634299
\(599\) −9.64510e8 5.47001e9i −0.183363 1.03991i −0.928040 0.372480i \(-0.878507\pi\)
0.744677 0.667425i \(-0.232604\pi\)
\(600\) 8.45824e8 1.46501e9i 0.159864 0.276893i
\(601\) 3.52317e9 + 2.95629e9i 0.662022 + 0.555503i 0.910692 0.413086i \(-0.135549\pi\)
−0.248670 + 0.968588i \(0.579993\pi\)
\(602\) 1.31534e9 + 2.27823e9i 0.245725 + 0.425608i
\(603\) −1.57839e9 + 2.73385e9i −0.293159 + 0.507766i
\(604\) −3.22078e9 + 1.17227e9i −0.594747 + 0.216470i
\(605\) −2.77884e8 + 2.33173e8i −0.0510176 + 0.0428089i
\(606\) −6.82925e8 1.18286e9i −0.124658 0.215913i
\(607\) −8.37403e7 + 4.74915e8i −0.0151976 + 0.0861897i −0.991463 0.130387i \(-0.958378\pi\)
0.976266 + 0.216577i \(0.0694891\pi\)
\(608\) 1.71253e9 9.71221e9i 0.309011 1.75249i
\(609\) −2.05331e9 1.72293e9i −0.368378 0.309106i
\(610\) 5.01396e8 + 1.82493e8i 0.0894388 + 0.0325531i
\(611\) 2.62566e9 + 9.55662e8i 0.465687 + 0.169496i
\(612\) −3.01224e9 2.52757e9i −0.531202 0.445732i
\(613\) 3.65117e8 2.07068e9i 0.0640207 0.363080i −0.935920 0.352212i \(-0.885430\pi\)
0.999941 0.0108675i \(-0.00345929\pi\)
\(614\) −2.94422e8 + 1.66975e9i −0.0513311 + 0.291113i
\(615\) 2.02203e7 + 3.50226e7i 0.00350530 + 0.00607135i
\(616\) −2.00562e9 + 1.68291e9i −0.345713 + 0.290087i
\(617\) −2.06184e9 + 7.50448e8i −0.353392 + 0.128624i −0.512615 0.858618i \(-0.671323\pi\)
0.159223 + 0.987243i \(0.449101\pi\)
\(618\) 7.77112e8 1.34600e9i 0.132442 0.229395i
\(619\) 2.11763e9 + 3.66785e9i 0.358867 + 0.621576i 0.987772 0.155906i \(-0.0498298\pi\)
−0.628905 + 0.777482i \(0.716496\pi\)
\(620\) −4.86323e8 4.08073e8i −0.0819509 0.0687649i
\(621\) −3.87058e9 + 6.70404e9i −0.648568 + 1.12335i
\(622\) 7.49783e8 + 4.25223e9i 0.124931 + 0.708517i
\(623\) 5.91991e9 0.980859
\(624\) −8.18600e7 4.64251e8i −0.0134873 0.0764904i
\(625\) 4.49164e9 3.76894e9i 0.735911 0.617503i
\(626\) −7.70138e8 2.80307e8i −0.125475 0.0456693i
\(627\) 2.39911e9 8.73204e8i 0.388699 0.141475i
\(628\) −5.41637e9 −0.872668
\(629\) 5.64855e9 3.58443e9i 0.905023 0.574305i
\(630\) −2.47506e8 −0.0394361
\(631\) −3.69151e9 + 1.34360e9i −0.584927 + 0.212896i −0.617497 0.786573i \(-0.711853\pi\)
0.0325696 + 0.999469i \(0.489631\pi\)
\(632\) 9.91984e9 + 3.61053e9i 1.56313 + 0.568932i
\(633\) −5.87941e8 + 4.93341e8i −0.0921342 + 0.0773098i
\(634\) −2.41225e7 1.36805e8i −0.00375932 0.0213202i
\(635\) 4.81788e8 0.0746702
\(636\) 2.20641e8 + 1.25132e9i 0.0340084 + 0.192871i
\(637\) 8.06219e8 1.39641e9i 0.123585 0.214055i
\(638\) 2.66011e9 + 2.23210e9i 0.405534 + 0.340283i
\(639\) 3.59567e9 + 6.22788e9i 0.545163 + 0.944250i
\(640\) 3.53515e8 6.12306e8i 0.0533062 0.0923290i
\(641\) −2.17706e9 + 7.92385e8i −0.326488 + 0.118832i −0.500064 0.865989i \(-0.666690\pi\)
0.173576 + 0.984821i \(0.444468\pi\)
\(642\) −7.55453e8 + 6.33901e8i −0.112677 + 0.0945472i
\(643\) 4.34254e9 + 7.52150e9i 0.644177 + 1.11575i 0.984491 + 0.175436i \(0.0561334\pi\)
−0.340314 + 0.940312i \(0.610533\pi\)
\(644\) −1.32078e9 + 7.49053e9i −0.194864 + 1.10513i
\(645\) 6.20325e7 3.51804e8i 0.00910249 0.0516228i
\(646\) −4.85747e9 4.07590e9i −0.708919 0.594854i
\(647\) 1.88918e9 + 6.87604e8i 0.274225 + 0.0998098i 0.475472 0.879731i \(-0.342277\pi\)
−0.201247 + 0.979541i \(0.564499\pi\)
\(648\) 3.46405e9 + 1.26081e9i 0.500117 + 0.182028i
\(649\) −8.04280e7 6.74871e7i −0.0115492 0.00969091i
\(650\) −4.04507e8 + 2.29407e9i −0.0577736 + 0.327650i
\(651\) −4.47626e8 + 2.53861e9i −0.0635890 + 0.360631i
\(652\) −2.42243e9 4.19576e9i −0.342282 0.592850i
\(653\) −3.06716e9 + 2.57365e9i −0.431063 + 0.361704i −0.832352 0.554247i \(-0.813006\pi\)
0.401290 + 0.915951i \(0.368562\pi\)
\(654\) 7.09751e8 2.58328e8i 0.0992166 0.0361119i
\(655\) 6.44212e8 1.11581e9i 0.0895745 0.155148i
\(656\) −1.85900e8 3.21989e8i −0.0257109 0.0445325i
\(657\) 2.02974e9 + 1.70315e9i 0.279230 + 0.234302i
\(658\) 1.07012e9 1.85351e9i 0.146434 0.253632i
\(659\) 1.10247e8 + 6.25243e8i 0.0150061 + 0.0851040i 0.991391 0.130934i \(-0.0417976\pi\)
−0.976385 + 0.216038i \(0.930686\pi\)
\(660\) 1.52324e8 0.0206236
\(661\) 2.31466e9 + 1.31271e10i 0.311732 + 1.76792i 0.589985 + 0.807414i \(0.299134\pi\)
−0.278253 + 0.960508i \(0.589755\pi\)
\(662\) 3.37375e9 2.83091e9i 0.451970 0.379248i
\(663\) −1.88456e9 6.85922e8i −0.251138 0.0914066i
\(664\) −8.18783e9 + 2.98013e9i −1.08538 + 0.395045i
\(665\) 1.19484e9 0.157555
\(666\) −2.00891e9 + 2.60845e9i −0.263512 + 0.342155i
\(667\) 2.35462e10 3.07242
\(668\) 3.87382e9 1.40995e9i 0.502830 0.183015i
\(669\) 2.23511e9 + 8.13514e8i 0.288608 + 0.105045i
\(670\) −2.32660e8 + 1.95225e8i −0.0298854 + 0.0250769i
\(671\) −1.45911e9 8.27501e9i −0.186448 1.05740i
\(672\) −2.38916e9 −0.303705
\(673\) 1.53291e9 + 8.69359e9i 0.193850 + 1.09938i 0.914047 + 0.405608i \(0.132940\pi\)
−0.720198 + 0.693769i \(0.755949\pi\)
\(674\) −1.43114e9 + 2.47880e9i −0.180041 + 0.311840i
\(675\) −4.16455e9 3.49447e9i −0.521200 0.437339i
\(676\) −1.64381e9 2.84715e9i −0.204662 0.354485i
\(677\) −2.48929e9 + 4.31157e9i −0.308329 + 0.534042i −0.977997 0.208619i \(-0.933103\pi\)
0.669668 + 0.742661i \(0.266437\pi\)
\(678\) 8.99232e8 3.27294e8i 0.110807 0.0403305i
\(679\) 2.36481e9 1.98431e9i 0.289903 0.243257i
\(680\) −4.41507e8 7.64713e8i −0.0538464 0.0932647i
\(681\) 1.94318e8 1.10203e9i 0.0235775 0.133715i
\(682\) 5.79910e8 3.28883e9i 0.0700028 0.397005i
\(683\) −9.92102e9 8.32472e9i −1.19147 0.999764i −0.999833 0.0182982i \(-0.994175\pi\)
−0.191639 0.981465i \(-0.561380\pi\)
\(684\) −8.77884e9 3.19523e9i −1.04892 0.381774i
\(685\) 3.17938e8 + 1.15720e8i 0.0377942 + 0.0137560i
\(686\) −3.52514e9 2.95795e9i −0.416910 0.349829i
\(687\) 2.82932e8 1.60459e9i 0.0332915 0.188806i
\(688\) −5.70311e8 + 3.23439e9i −0.0667655 + 0.378646i
\(689\) −2.04193e9 3.53672e9i −0.237833 0.411939i
\(690\) −2.64298e8 + 2.21773e8i −0.0306283 + 0.0257002i
\(691\) 7.27367e9 2.64740e9i 0.838649 0.305243i 0.113246 0.993567i \(-0.463875\pi\)
0.725404 + 0.688324i \(0.241653\pi\)
\(692\) −3.98959e9 + 6.91018e9i −0.457675 + 0.792717i
\(693\) 1.94885e9 + 3.37551e9i 0.222440 + 0.385277i
\(694\) −9.69441e8 8.13457e8i −0.110094 0.0923797i
\(695\) 2.15836e8 3.73839e8i 0.0243880 0.0422413i
\(696\) 8.17230e8 + 4.63474e9i 0.0918780 + 0.521066i
\(697\) −1.58173e9 −0.176937
\(698\) 1.45040e9 + 8.22563e9i 0.161434 + 0.915536i
\(699\) 3.57132e9 2.99669e9i 0.395511 0.331873i
\(700\) −5.01943e9 1.82692e9i −0.553110 0.201316i
\(701\) −6.10531e9 + 2.22215e9i −0.669413 + 0.243647i −0.654295 0.756239i \(-0.727035\pi\)
−0.0151181 + 0.999886i \(0.504812\pi\)
\(702\) 2.13061e9 0.232447
\(703\) 9.69802e9 1.25923e10i 1.05278 1.36698i
\(704\) 1.22699e9 0.132536
\(705\) −2.73106e8 + 9.94025e7i −0.0293541 + 0.0106840i
\(706\) −7.96596e9 2.89937e9i −0.851965 0.310090i
\(707\) −7.71123e9 + 6.47049e9i −0.820646 + 0.688604i
\(708\) −1.05863e7 6.00379e7i −0.00112106 0.00635783i
\(709\) 7.79544e9 0.821446 0.410723 0.911760i \(-0.365276\pi\)
0.410723 + 0.911760i \(0.365276\pi\)
\(710\) 1.20144e8 + 6.81373e8i 0.0125979 + 0.0714464i
\(711\) 7.85784e9 1.36102e10i 0.819898 1.42011i
\(712\) −7.96238e9 6.68123e9i −0.826728 0.693707i
\(713\) −1.13223e10 1.96109e10i −1.16983 2.02620i
\(714\) −7.68076e8 + 1.33035e9i −0.0789697 + 0.136779i
\(715\) −4.60052e8 + 1.67445e8i −0.0470691 + 0.0171318i
\(716\) 5.69810e9 4.78128e9i 0.580142 0.486797i
\(717\) 1.25765e9 + 2.17832e9i 0.127422 + 0.220701i
\(718\) 1.31367e8 7.45018e8i 0.0132449 0.0751157i
\(719\) 2.17138e9 1.23145e10i 0.217863 1.23556i −0.658005 0.753014i \(-0.728599\pi\)
0.875868 0.482551i \(-0.160290\pi\)
\(720\) −2.36709e8 1.98622e8i −0.0236347 0.0198319i
\(721\) −1.07638e10 3.91771e9i −1.06953 0.389277i
\(722\) −9.40122e9 3.42176e9i −0.929617 0.338353i
\(723\) −3.80032e9 3.18885e9i −0.373970 0.313798i
\(724\) −9.00756e7 + 5.10844e8i −0.00882109 + 0.0500269i
\(725\) −2.87143e9 + 1.62847e10i −0.279844 + 1.58707i
\(726\) −5.54013e8 9.59579e8i −0.0537331 0.0930685i
\(727\) −6.80669e9 + 5.71149e9i −0.657000 + 0.551288i −0.909186 0.416390i \(-0.863295\pi\)
0.252186 + 0.967679i \(0.418851\pi\)
\(728\) 4.59149e9 1.67117e9i 0.441056 0.160531i
\(729\) 1.40952e9 2.44137e9i 0.134749 0.233393i
\(730\) 1.27462e8 + 2.20770e8i 0.0121269 + 0.0210044i
\(731\) 1.07033e10 + 8.98113e9i 1.01346 + 0.850394i
\(732\) 2.43954e9 4.22540e9i 0.229889 0.398180i
\(733\) 1.51314e9 + 8.58143e9i 0.141910 + 0.804814i 0.969796 + 0.243917i \(0.0784325\pi\)
−0.827886 + 0.560897i \(0.810456\pi\)
\(734\) 2.24397e9 0.209450
\(735\) 2.91237e7 + 1.65169e8i 0.00270546 + 0.0153434i
\(736\) 1.60775e10 1.34907e10i 1.48644 1.24727i
\(737\) 4.49444e9 + 1.63584e9i 0.413561 + 0.150524i
\(738\) 7.31493e8 2.66242e8i 0.0669905 0.0243825i
\(739\) −1.71327e10 −1.56160 −0.780801 0.624780i \(-0.785189\pi\)
−0.780801 + 0.624780i \(0.785189\pi\)
\(740\) 8.00673e8 5.08087e8i 0.0726347 0.0460922i
\(741\) −4.76473e9 −0.430204
\(742\) −2.93945e9 + 1.06987e9i −0.264151 + 0.0961432i
\(743\) 3.21319e9 + 1.16951e9i 0.287393 + 0.104602i 0.481694 0.876339i \(-0.340022\pi\)
−0.194301 + 0.980942i \(0.562244\pi\)
\(744\) 3.46715e9 2.90929e9i 0.308651 0.258989i
\(745\) 1.90183e6 + 1.07858e7i 0.000168509 + 0.000955665i
\(746\) −1.18568e9 −0.104563
\(747\) 2.25252e9 + 1.27746e10i 0.197718 + 1.12131i
\(748\) −2.97887e9 + 5.15956e9i −0.260253 + 0.450772i
\(749\) 5.56769e9 + 4.67184e9i 0.484159 + 0.406258i
\(750\) −2.43914e8 4.22471e8i −0.0211117 0.0365665i
\(751\) −6.96888e9 + 1.20705e10i −0.600376 + 1.03988i 0.392388 + 0.919800i \(0.371649\pi\)
−0.992764 + 0.120082i \(0.961684\pi\)
\(752\) 2.51087e9 9.13881e8i 0.215309 0.0783659i
\(753\) 1.56275e8 1.31130e8i 0.0133385 0.0111923i
\(754\) −3.24033e9 5.61242e9i −0.275290 0.476816i
\(755\) −1.98972e8 + 1.12843e9i −0.0168259 + 0.0954244i
\(756\) −8.48375e8 + 4.81138e9i −0.0714105 + 0.404989i
\(757\) −1.44409e10 1.21174e10i −1.20993 1.01525i −0.999290 0.0376873i \(-0.988001\pi\)
−0.210640 0.977564i \(-0.567555\pi\)
\(758\) −2.53822e9 9.23835e8i −0.211683 0.0770464i
\(759\) 5.10562e9 + 1.85829e9i 0.423841 + 0.154265i
\(760\) −1.60708e9 1.34850e9i −0.132797 0.111430i
\(761\) −2.11107e9 + 1.19725e10i −0.173643 + 0.984778i 0.766055 + 0.642774i \(0.222217\pi\)
−0.939698 + 0.342004i \(0.888894\pi\)
\(762\) −2.55544e8 + 1.44926e9i −0.0209230 + 0.118660i
\(763\) −2.78328e9 4.82079e9i −0.226841 0.392900i
\(764\)