Properties

Label 43.9.f.a.2.4
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.4
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-11.5206 - 23.9228i) q^{2} +(-29.0150 + 60.2502i) q^{3} +(-279.962 + 351.061i) q^{4} +(-438.800 - 100.153i) q^{5} +1775.62 q^{6} +3131.86i q^{7} +(4996.73 + 1140.47i) q^{8} +(1302.50 + 1633.28i) q^{9} +O(q^{10})\) \(q+(-11.5206 - 23.9228i) q^{2} +(-29.0150 + 60.2502i) q^{3} +(-279.962 + 351.061i) q^{4} +(-438.800 - 100.153i) q^{5} +1775.62 q^{6} +3131.86i q^{7} +(4996.73 + 1140.47i) q^{8} +(1302.50 + 1633.28i) q^{9} +(2659.29 + 11651.1i) q^{10} +(-6444.85 - 8081.59i) q^{11} +(-13028.4 - 27053.8i) q^{12} +(3311.51 - 14508.7i) q^{13} +(74922.9 - 36080.9i) q^{14} +(18766.0 - 23531.8i) q^{15} +(-4703.29 - 20606.4i) q^{16} +(-3312.06 - 14511.1i) q^{17} +(24067.0 - 49975.7i) q^{18} +(-30059.5 - 23971.7i) q^{19} +(158007. - 126006. i) q^{20} +(-188695. - 90870.9i) q^{21} +(-119085. + 247283. i) q^{22} +(69185.0 + 86755.3i) q^{23} +(-213693. + 267963. i) q^{24} +(-169427. - 81591.5i) q^{25} +(-385239. + 87928.2i) q^{26} +(-563949. + 128718. i) q^{27} +(-1.09947e6 - 876802. i) q^{28} +(-92334.2 - 191734. i) q^{29} +(-779143. - 177834. i) q^{30} +(-114319. + 55053.3i) q^{31} +(587030. - 468141. i) q^{32} +(673914. - 153817. i) q^{33} +(-308989. + 246410. i) q^{34} +(313666. - 1.37426e6i) q^{35} -938030. q^{36} +655296. i q^{37} +(-227165. + 995275. i) q^{38} +(778067. + 620488. i) q^{39} +(-2.07834e6 - 1.00088e6i) q^{40} +(2.24206e6 - 1.07972e6i) q^{41} +5.56101e6i q^{42} +(1.04462e6 - 3.25530e6i) q^{43} +4.64144e6 q^{44} +(-407957. - 847131. i) q^{45} +(1.27837e6 - 2.65457e6i) q^{46} +(5.66056e6 - 7.09812e6i) q^{47} +(1.37801e6 + 314521. i) q^{48} -4.04376e6 q^{49} +4.99314e6i q^{50} +(970396. + 221487. i) q^{51} +(4.16633e6 + 5.22442e6i) q^{52} +(-3.22166e6 - 1.41150e7i) q^{53} +(9.57631e6 + 1.20083e7i) q^{54} +(2.01860e6 + 4.19167e6i) q^{55} +(-3.57180e6 + 1.56491e7i) q^{56} +(2.31647e6 - 1.11556e6i) q^{57} +(-3.52306e6 + 4.41778e6i) q^{58} +(-170074. - 745142. i) q^{59} +(3.00734e6 + 1.31760e7i) q^{60} +(2.41699e6 - 5.01892e6i) q^{61} +(2.63406e6 + 2.10059e6i) q^{62} +(-5.11521e6 + 4.07924e6i) q^{63} +(-2.28372e7 - 1.09978e7i) q^{64} +(-2.90618e6 + 6.03474e6i) q^{65} +(-1.14436e7 - 1.43498e7i) q^{66} +(-4.64715e6 + 5.82734e6i) q^{67} +(6.02153e6 + 2.89982e6i) q^{68} +(-7.23443e6 + 1.65121e6i) q^{69} +(-3.64897e7 + 8.32854e6i) q^{70} +(3.20687e7 + 2.55739e7i) q^{71} +(4.64551e6 + 9.64651e6i) q^{72} +(-1.13772e7 - 2.59677e6i) q^{73} +(1.56765e7 - 7.54940e6i) q^{74} +(9.83182e6 - 7.84061e6i) q^{75} +(1.68310e7 - 3.84157e6i) q^{76} +(2.53104e7 - 2.01844e7i) q^{77} +(5.87999e6 - 2.57619e7i) q^{78} +2.13362e7 q^{79} +9.51315e6i q^{80} +(5.55777e6 - 2.43502e7i) q^{81} +(-5.16597e7 - 4.11972e7i) q^{82} +(5.17904e6 + 2.49409e6i) q^{83} +(8.47287e7 - 4.08032e7i) q^{84} +6.69918e6i q^{85} +(-8.99105e7 + 1.25128e7i) q^{86} +1.42311e7 q^{87} +(-2.29863e7 - 4.77316e7i) q^{88} +(4.51819e7 - 9.38212e7i) q^{89} +(-1.55658e7 + 1.95189e7i) q^{90} +(4.54392e7 + 1.03712e7i) q^{91} -4.98256e7 q^{92} -8.48514e6i q^{93} +(-2.35020e8 - 5.36418e7i) q^{94} +(1.07893e7 + 1.35293e7i) q^{95} +(1.11729e7 + 4.89517e7i) q^{96} +(5.53549e7 + 6.94129e7i) q^{97} +(4.65865e7 + 9.67380e7i) q^{98} +(4.80509e6 - 2.10525e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −11.5206 23.9228i −0.720038 1.49517i −0.862869 0.505427i \(-0.831335\pi\)
0.142832 0.989747i \(-0.454379\pi\)
\(3\) −29.0150 + 60.2502i −0.358210 + 0.743830i −0.999729 0.0232769i \(-0.992590\pi\)
0.641519 + 0.767107i \(0.278304\pi\)
\(4\) −279.962 + 351.061i −1.09360 + 1.37133i
\(5\) −438.800 100.153i −0.702079 0.160245i −0.143444 0.989658i \(-0.545818\pi\)
−0.558635 + 0.829413i \(0.688675\pi\)
\(6\) 1775.62 1.37008
\(7\) 3131.86i 1.30440i 0.758047 + 0.652200i \(0.226154\pi\)
−0.758047 + 0.652200i \(0.773846\pi\)
\(8\) 4996.73 + 1140.47i 1.21990 + 0.278435i
\(9\) 1302.50 + 1633.28i 0.198521 + 0.248938i
\(10\) 2659.29 + 11651.1i 0.265929 + 1.16511i
\(11\) −6444.85 8081.59i −0.440192 0.551983i 0.511402 0.859342i \(-0.329126\pi\)
−0.951594 + 0.307358i \(0.900555\pi\)
\(12\) −13028.4 27053.8i −0.628300 1.30468i
\(13\) 3311.51 14508.7i 0.115945 0.507989i −0.883288 0.468831i \(-0.844675\pi\)
0.999233 0.0391580i \(-0.0124676\pi\)
\(14\) 74922.9 36080.9i 1.95030 0.939217i
\(15\) 18766.0 23531.8i 0.370687 0.464826i
\(16\) −4703.29 20606.4i −0.0717664 0.314429i
\(17\) −3312.06 14511.1i −0.0396555 0.173742i 0.951222 0.308507i \(-0.0998292\pi\)
−0.990878 + 0.134765i \(0.956972\pi\)
\(18\) 24067.0 49975.7i 0.229262 0.476068i
\(19\) −30059.5 23971.7i −0.230657 0.183943i 0.501340 0.865250i \(-0.332840\pi\)
−0.731998 + 0.681307i \(0.761412\pi\)
\(20\) 158007. 126006.i 0.987544 0.787540i
\(21\) −188695. 90870.9i −0.970251 0.467248i
\(22\) −119085. + 247283.i −0.508356 + 1.05561i
\(23\) 69185.0 + 86755.3i 0.247230 + 0.310016i 0.889926 0.456105i \(-0.150756\pi\)
−0.642696 + 0.766121i \(0.722184\pi\)
\(24\) −213693. + 267963.i −0.644090 + 0.807663i
\(25\) −169427. 81591.5i −0.433732 0.208874i
\(26\) −385239. + 87928.2i −0.843017 + 0.192413i
\(27\) −563949. + 128718.i −1.06117 + 0.242205i
\(28\) −1.09947e6 876802.i −1.78876 1.42649i
\(29\) −92334.2 191734.i −0.130548 0.271086i 0.825441 0.564489i \(-0.190927\pi\)
−0.955989 + 0.293403i \(0.905212\pi\)
\(30\) −779143. 177834.i −0.961904 0.219548i
\(31\) −114319. + 55053.3i −0.123786 + 0.0596124i −0.494752 0.869034i \(-0.664741\pi\)
0.370966 + 0.928647i \(0.379027\pi\)
\(32\) 587030. 468141.i 0.559835 0.446454i
\(33\) 673914. 153817.i 0.568262 0.129702i
\(34\) −308989. + 246410.i −0.231221 + 0.184393i
\(35\) 313666. 1.37426e6i 0.209023 0.915792i
\(36\) −938030. −0.558479
\(37\) 655296.i 0.349648i 0.984600 + 0.174824i \(0.0559356\pi\)
−0.984600 + 0.174824i \(0.944064\pi\)
\(38\) −227165. + 995275.i −0.108945 + 0.477319i
\(39\) 778067. + 620488.i 0.336325 + 0.268210i
\(40\) −2.07834e6 1.00088e6i −0.811852 0.390967i
\(41\) 2.24206e6 1.07972e6i 0.793435 0.382098i 0.00715946 0.999974i \(-0.497721\pi\)
0.786275 + 0.617876i \(0.212007\pi\)
\(42\) 5.56101e6i 1.78713i
\(43\) 1.04462e6 3.25530e6i 0.305551 0.952176i
\(44\) 4.64144e6 1.23835
\(45\) −407957. 847131.i −0.0994865 0.206586i
\(46\) 1.27837e6 2.65457e6i 0.285514 0.592875i
\(47\) 5.66056e6 7.09812e6i 1.16003 1.45463i 0.293178 0.956058i \(-0.405287\pi\)
0.866849 0.498571i \(-0.166142\pi\)
\(48\) 1.37801e6 + 314521.i 0.259589 + 0.0592496i
\(49\) −4.04376e6 −0.701457
\(50\) 4.99314e6i 0.798902i
\(51\) 970396. + 221487.i 0.143439 + 0.0327391i
\(52\) 4.16633e6 + 5.22442e6i 0.569824 + 0.714537i
\(53\) −3.22166e6 1.41150e7i −0.408297 1.78887i −0.592057 0.805896i \(-0.701684\pi\)
0.183760 0.982971i \(-0.441173\pi\)
\(54\) 9.57631e6 + 1.20083e7i 1.12622 + 1.41224i
\(55\) 2.01860e6 + 4.19167e6i 0.220597 + 0.458074i
\(56\) −3.57180e6 + 1.56491e7i −0.363191 + 1.59124i
\(57\) 2.31647e6 1.11556e6i 0.219446 0.105680i
\(58\) −3.52306e6 + 4.41778e6i −0.311321 + 0.390384i
\(59\) −170074. 745142.i −0.0140356 0.0614938i 0.967425 0.253157i \(-0.0814690\pi\)
−0.981461 + 0.191663i \(0.938612\pi\)
\(60\) 3.00734e6 + 1.31760e7i 0.232048 + 1.01667i
\(61\) 2.41699e6 5.01892e6i 0.174564 0.362486i −0.795269 0.606257i \(-0.792670\pi\)
0.969833 + 0.243771i \(0.0783845\pi\)
\(62\) 2.63406e6 + 2.10059e6i 0.178262 + 0.142159i
\(63\) −5.11521e6 + 4.07924e6i −0.324714 + 0.258951i
\(64\) −2.28372e7 1.09978e7i −1.36120 0.655522i
\(65\) −2.90618e6 + 6.03474e6i −0.162805 + 0.338069i
\(66\) −1.14436e7 1.43498e7i −0.603098 0.756261i
\(67\) −4.64715e6 + 5.82734e6i −0.230615 + 0.289182i −0.883652 0.468144i \(-0.844923\pi\)
0.653037 + 0.757326i \(0.273494\pi\)
\(68\) 6.02153e6 + 2.89982e6i 0.281625 + 0.135624i
\(69\) −7.23443e6 + 1.65121e6i −0.319160 + 0.0728461i
\(70\) −3.64897e7 + 8.32854e6i −1.51977 + 0.346878i
\(71\) 3.20687e7 + 2.55739e7i 1.26197 + 1.00638i 0.999137 + 0.0415416i \(0.0132269\pi\)
0.262829 + 0.964842i \(0.415345\pi\)
\(72\) 4.64551e6 + 9.64651e6i 0.172864 + 0.358955i
\(73\) −1.13772e7 2.59677e6i −0.400630 0.0914413i 0.0174581 0.999848i \(-0.494443\pi\)
−0.418088 + 0.908406i \(0.637300\pi\)
\(74\) 1.56765e7 7.54940e6i 0.522784 0.251759i
\(75\) 9.83182e6 7.84061e6i 0.310734 0.247802i
\(76\) 1.68310e7 3.84157e6i 0.504495 0.115148i
\(77\) 2.53104e7 2.01844e7i 0.720006 0.574186i
\(78\) 5.87999e6 2.57619e7i 0.158854 0.695985i
\(79\) 2.13362e7 0.547783 0.273891 0.961761i \(-0.411689\pi\)
0.273891 + 0.961761i \(0.411689\pi\)
\(80\) 9.51315e6i 0.232255i
\(81\) 5.55777e6 2.43502e7i 0.129110 0.565669i
\(82\) −5.16597e7 4.11972e7i −1.14261 0.911198i
\(83\) 5.17904e6 + 2.49409e6i 0.109128 + 0.0525533i 0.487651 0.873038i \(-0.337854\pi\)
−0.378523 + 0.925592i \(0.623568\pi\)
\(84\) 8.47287e7 4.08032e7i 1.70182 0.819553i
\(85\) 6.69918e6i 0.128335i
\(86\) −8.99105e7 + 1.25128e7i −1.64368 + 0.228750i
\(87\) 1.42311e7 0.248405
\(88\) −2.29863e7 4.77316e7i −0.383300 0.795931i
\(89\) 4.51819e7 9.38212e7i 0.720120 1.49534i −0.142664 0.989771i \(-0.545567\pi\)
0.862784 0.505573i \(-0.168719\pi\)
\(90\) −1.55658e7 + 1.95189e7i −0.237248 + 0.297499i
\(91\) 4.54392e7 + 1.03712e7i 0.662620 + 0.151239i
\(92\) −4.98256e7 −0.695506
\(93\) 8.48514e6i 0.113430i
\(94\) −2.35020e8 5.36418e7i −3.01019 0.687055i
\(95\) 1.07893e7 + 1.35293e7i 0.132464 + 0.166104i
\(96\) 1.11729e7 + 4.89517e7i 0.131547 + 0.576346i
\(97\) 5.53549e7 + 6.94129e7i 0.625273 + 0.784067i 0.989076 0.147409i \(-0.0470933\pi\)
−0.363803 + 0.931476i \(0.618522\pi\)
\(98\) 4.65865e7 + 9.67380e7i 0.505075 + 1.04880i
\(99\) 4.80509e6 2.10525e7i 0.0500220 0.219161i
\(100\) 7.60766e7 3.66366e7i 0.760766 0.366366i
\(101\) −1.03147e8 + 1.29343e8i −0.991224 + 1.24296i −0.0212437 + 0.999774i \(0.506763\pi\)
−0.969981 + 0.243182i \(0.921809\pi\)
\(102\) −5.88098e6 2.57662e7i −0.0543311 0.238040i
\(103\) 3.07877e7 + 1.34890e8i 0.273544 + 1.19848i 0.905796 + 0.423714i \(0.139274\pi\)
−0.632252 + 0.774763i \(0.717869\pi\)
\(104\) 3.30934e7 6.87192e7i 0.282884 0.587415i
\(105\) 7.36984e7 + 5.87725e7i 0.606319 + 0.483523i
\(106\) −3.00555e8 + 2.39685e8i −2.38068 + 1.89853i
\(107\) −1.08741e7 5.23667e6i −0.0829577 0.0399503i 0.391945 0.919989i \(-0.371802\pi\)
−0.474903 + 0.880038i \(0.657517\pi\)
\(108\) 1.12696e8 2.34016e8i 0.828352 1.72009i
\(109\) −1.49503e8 1.87471e8i −1.05912 1.32809i −0.942238 0.334944i \(-0.891282\pi\)
−0.116879 0.993146i \(-0.537289\pi\)
\(110\) 7.70209e7 9.65811e7i 0.526063 0.659662i
\(111\) −3.94817e7 1.90134e7i −0.260078 0.125247i
\(112\) 6.45365e7 1.47300e7i 0.410141 0.0936121i
\(113\) −1.11795e8 + 2.55164e7i −0.685658 + 0.156497i −0.551138 0.834414i \(-0.685806\pi\)
−0.134520 + 0.990911i \(0.542949\pi\)
\(114\) −5.33744e7 4.25646e7i −0.316019 0.252017i
\(115\) −2.16696e7 4.49973e7i −0.123896 0.257273i
\(116\) 9.31604e7 + 2.12632e7i 0.514516 + 0.117435i
\(117\) 2.80099e7 1.34889e7i 0.149475 0.0719834i
\(118\) −1.58665e7 + 1.26531e7i −0.0818378 + 0.0652634i
\(119\) 4.54468e7 1.03729e7i 0.226629 0.0517266i
\(120\) 1.20606e8 9.61800e7i 0.581626 0.463831i
\(121\) 2.39234e7 1.04815e8i 0.111604 0.488971i
\(122\) −1.47912e8 −0.667672
\(123\) 1.66412e8i 0.727052i
\(124\) 1.26780e7 5.55459e7i 0.0536246 0.234945i
\(125\) 2.03630e8 + 1.62389e8i 0.834067 + 0.665146i
\(126\) 1.56517e8 + 7.53746e7i 0.620983 + 0.299049i
\(127\) −3.83728e7 + 1.84794e7i −0.147506 + 0.0710350i −0.506180 0.862428i \(-0.668943\pi\)
0.358675 + 0.933463i \(0.383229\pi\)
\(128\) 4.80817e8i 1.79118i
\(129\) 1.65823e8 + 1.57391e8i 0.598805 + 0.568357i
\(130\) 1.77849e8 0.622698
\(131\) 1.06282e8 + 2.20696e8i 0.360889 + 0.749394i 0.999802 0.0198849i \(-0.00632998\pi\)
−0.638913 + 0.769279i \(0.720616\pi\)
\(132\) −1.34671e8 + 2.79648e8i −0.443588 + 0.921119i
\(133\) 7.50759e7 9.41423e7i 0.239935 0.300869i
\(134\) 1.92944e8 + 4.40383e7i 0.598429 + 0.136588i
\(135\) 2.60352e8 0.783837
\(136\) 7.62853e7i 0.222990i
\(137\) −1.38857e8 3.16933e7i −0.394173 0.0899673i 0.0208404 0.999783i \(-0.493366\pi\)
−0.415013 + 0.909816i \(0.636223\pi\)
\(138\) 1.22847e8 + 1.54045e8i 0.338725 + 0.424747i
\(139\) −1.31660e8 5.76842e8i −0.352692 1.54525i −0.770937 0.636912i \(-0.780212\pi\)
0.418244 0.908335i \(-0.362646\pi\)
\(140\) 3.94635e8 + 4.94856e8i 1.02727 + 1.28815i
\(141\) 2.63422e8 + 5.47002e8i 0.666463 + 1.38392i
\(142\) 2.42349e8 1.06180e9i 0.596056 2.61149i
\(143\) −1.38595e8 + 6.67440e7i −0.331440 + 0.159613i
\(144\) 2.75301e7 3.45216e7i 0.0640261 0.0802862i
\(145\) 2.13135e7 + 9.33803e7i 0.0482150 + 0.211244i
\(146\) 6.89502e7 + 3.02091e8i 0.151748 + 0.664853i
\(147\) 1.17330e8 2.43637e8i 0.251269 0.521764i
\(148\) −2.30049e8 1.83458e8i −0.479483 0.382375i
\(149\) 4.21283e7 3.35962e7i 0.0854729 0.0681624i −0.579821 0.814744i \(-0.696878\pi\)
0.665294 + 0.746581i \(0.268306\pi\)
\(150\) −3.00838e8 1.44876e8i −0.594247 0.286174i
\(151\) 3.18490e8 6.61351e8i 0.612616 1.27211i −0.331798 0.943350i \(-0.607655\pi\)
0.944414 0.328759i \(-0.106630\pi\)
\(152\) −1.22860e8 1.54062e8i −0.230164 0.288616i
\(153\) 1.93867e7 2.43102e7i 0.0353785 0.0443632i
\(154\) −7.74458e8 3.72959e8i −1.37694 0.663099i
\(155\) 5.56771e7 1.27079e7i 0.0964605 0.0220165i
\(156\) −4.35658e8 + 9.94362e7i −0.735610 + 0.167898i
\(157\) −8.33822e8 6.64951e8i −1.37238 1.09444i −0.985007 0.172514i \(-0.944811\pi\)
−0.387374 0.921923i \(-0.626618\pi\)
\(158\) −2.45806e8 5.10421e8i −0.394424 0.819030i
\(159\) 9.43909e8 + 2.15441e8i 1.47687 + 0.337086i
\(160\) −3.04474e8 + 1.46627e8i −0.464591 + 0.223735i
\(161\) −2.71706e8 + 2.16678e8i −0.404385 + 0.322486i
\(162\) −6.46554e8 + 1.47572e8i −0.938738 + 0.214261i
\(163\) −6.54960e8 + 5.22313e8i −0.927822 + 0.739913i −0.965779 0.259366i \(-0.916486\pi\)
0.0379573 + 0.999279i \(0.487915\pi\)
\(164\) −2.48644e8 + 1.08938e9i −0.343718 + 1.50593i
\(165\) −3.11119e8 −0.419749
\(166\) 1.52630e8i 0.201006i
\(167\) 1.30776e8 5.72969e8i 0.168137 0.736657i −0.818605 0.574358i \(-0.805252\pi\)
0.986742 0.162299i \(-0.0518909\pi\)
\(168\) −8.39224e8 6.69259e8i −1.05351 0.840150i
\(169\) 5.35412e8 + 2.57841e8i 0.656359 + 0.316086i
\(170\) 1.60263e8 7.71786e7i 0.191883 0.0924062i
\(171\) 8.03186e7i 0.0939359i
\(172\) 8.50355e8 + 1.27808e9i 0.971598 + 1.46031i
\(173\) −2.16771e8 −0.242001 −0.121001 0.992652i \(-0.538610\pi\)
−0.121001 + 0.992652i \(0.538610\pi\)
\(174\) −1.63951e8 3.40447e8i −0.178861 0.371409i
\(175\) 2.55533e8 5.30621e8i 0.272455 0.565760i
\(176\) −1.36221e8 + 1.70815e8i −0.141969 + 0.178023i
\(177\) 4.98297e7 + 1.13733e7i 0.0507686 + 0.0115876i
\(178\) −2.76499e9 −2.75431
\(179\) 7.68024e7i 0.0748105i 0.999300 + 0.0374053i \(0.0119092\pi\)
−0.999300 + 0.0374053i \(0.988091\pi\)
\(180\) 4.11607e8 + 9.39467e7i 0.392096 + 0.0894935i
\(181\) 9.73746e8 + 1.22104e9i 0.907259 + 1.13767i 0.989996 + 0.141095i \(0.0450623\pi\)
−0.0827373 + 0.996571i \(0.526366\pi\)
\(182\) −2.75379e8 1.20651e9i −0.250983 1.09963i
\(183\) 2.32262e8 + 2.91248e8i 0.207097 + 0.259692i
\(184\) 2.46757e8 + 5.12396e8i 0.215277 + 0.447028i
\(185\) 6.56299e7 2.87544e8i 0.0560293 0.245480i
\(186\) −2.02988e8 + 9.77539e7i −0.169597 + 0.0816738i
\(187\) −9.59270e7 + 1.20289e8i −0.0784466 + 0.0983689i
\(188\) 9.07132e8 + 3.97441e9i 0.726172 + 3.18157i
\(189\) −4.03126e8 1.76621e9i −0.315932 1.38419i
\(190\) 1.99360e8 4.13975e8i 0.152976 0.317658i
\(191\) −2.25216e8 1.79604e8i −0.169225 0.134953i 0.535215 0.844716i \(-0.320231\pi\)
−0.704440 + 0.709763i \(0.748802\pi\)
\(192\) 1.32524e9 1.05685e9i 0.975193 0.777691i
\(193\) −1.41080e9 6.79406e8i −1.01680 0.489666i −0.150195 0.988656i \(-0.547990\pi\)
−0.866608 + 0.498990i \(0.833704\pi\)
\(194\) 1.02283e9 2.12392e9i 0.722097 1.49945i
\(195\) −2.79272e8 3.50196e8i −0.193147 0.242199i
\(196\) 1.13210e9 1.41961e9i 0.767114 0.961930i
\(197\) −6.54272e8 3.15081e8i −0.434404 0.209198i 0.203885 0.978995i \(-0.434643\pi\)
−0.638289 + 0.769797i \(0.720357\pi\)
\(198\) −5.58991e8 + 1.27586e8i −0.363701 + 0.0830124i
\(199\) 1.69536e9 3.86955e8i 1.08106 0.246745i 0.355341 0.934737i \(-0.384365\pi\)
0.725719 + 0.687992i \(0.241507\pi\)
\(200\) −7.53526e8 6.00917e8i −0.470953 0.375573i
\(201\) −2.16262e8 4.49072e8i −0.132494 0.275126i
\(202\) 4.28255e9 + 9.77464e8i 2.57215 + 0.587078i
\(203\) 6.00484e8 2.89178e8i 0.353604 0.170287i
\(204\) −3.49429e8 + 2.78661e8i −0.201762 + 0.160900i
\(205\) −1.09195e9 + 2.49231e8i −0.618283 + 0.141119i
\(206\) 2.87224e9 2.29054e9i 1.59497 1.27194i
\(207\) −5.15823e7 + 2.25997e8i −0.0280944 + 0.123090i
\(208\) −3.14547e8 −0.168048
\(209\) 3.97422e8i 0.208289i
\(210\) 5.56952e8 2.44017e9i 0.286379 1.25471i
\(211\) 1.55153e9 + 1.23730e9i 0.782762 + 0.624232i 0.931125 0.364701i \(-0.118829\pi\)
−0.148363 + 0.988933i \(0.547400\pi\)
\(212\) 5.85718e9 + 2.82067e9i 2.89965 + 1.39640i
\(213\) −2.47131e9 + 1.19012e9i −1.20063 + 0.578191i
\(214\) 3.20468e8i 0.152802i
\(215\) −7.84407e8 + 1.32380e9i −0.367103 + 0.619540i
\(216\) −2.96470e9 −1.36196
\(217\) −1.72419e8 3.58033e8i −0.0777584 0.161467i
\(218\) −2.76246e9 + 5.73631e9i −1.22312 + 2.53984i
\(219\) 4.86565e8 6.10133e8i 0.211526 0.265246i
\(220\) −2.03666e9 4.64855e8i −0.869417 0.198439i
\(221\) −2.21505e8 −0.0928569
\(222\) 1.16356e9i 0.479045i
\(223\) 3.53200e8 + 8.06155e7i 0.142824 + 0.0325986i 0.293335 0.956010i \(-0.405235\pi\)
−0.150511 + 0.988608i \(0.548092\pi\)
\(224\) 1.46615e9 + 1.83850e9i 0.582354 + 0.730248i
\(225\) −8.74158e7 3.82994e8i −0.0341083 0.149438i
\(226\) 1.89837e9 + 2.38048e9i 0.727690 + 0.912495i
\(227\) −1.75480e9 3.64389e9i −0.660884 1.37234i −0.914322 0.404988i \(-0.867276\pi\)
0.253438 0.967352i \(-0.418439\pi\)
\(228\) −2.56896e8 + 1.12554e9i −0.0950646 + 0.416505i
\(229\) −1.74019e9 + 8.38029e8i −0.632781 + 0.304731i −0.722642 0.691223i \(-0.757072\pi\)
0.0898602 + 0.995954i \(0.471358\pi\)
\(230\) −8.26814e8 + 1.03679e9i −0.295459 + 0.370493i
\(231\) 4.81732e8 + 2.11061e9i 0.169183 + 0.741241i
\(232\) −2.42702e8 1.06335e9i −0.0837763 0.367048i
\(233\) −9.92377e8 + 2.06069e9i −0.336708 + 0.699181i −0.998734 0.0502997i \(-0.983982\pi\)
0.662026 + 0.749480i \(0.269697\pi\)
\(234\) −6.45383e8 5.14676e8i −0.215255 0.171661i
\(235\) −3.19475e9 + 2.54773e9i −1.04753 + 0.835376i
\(236\) 3.09205e8 + 1.48905e8i 0.0996777 + 0.0480022i
\(237\) −6.19069e8 + 1.28551e9i −0.196221 + 0.407457i
\(238\) −7.71724e8 9.67711e8i −0.240522 0.301604i
\(239\) 2.85961e9 3.58584e9i 0.876426 1.09900i −0.117942 0.993021i \(-0.537630\pi\)
0.994368 0.105983i \(-0.0337990\pi\)
\(240\) −5.73169e8 2.76024e8i −0.172758 0.0831958i
\(241\) 7.80170e8 1.78069e8i 0.231271 0.0527861i −0.105315 0.994439i \(-0.533585\pi\)
0.336586 + 0.941653i \(0.390728\pi\)
\(242\) −2.78308e9 + 6.35221e8i −0.811456 + 0.185210i
\(243\) −1.66138e9 1.32490e9i −0.476478 0.379979i
\(244\) 1.08528e9 + 2.25362e9i 0.306185 + 0.635800i
\(245\) 1.77440e9 + 4.04995e8i 0.492478 + 0.112405i
\(246\) 3.98105e9 1.91717e9i 1.08707 0.523505i
\(247\) −4.47339e8 + 3.56741e8i −0.120185 + 0.0958442i
\(248\) −6.34010e8 + 1.44709e8i −0.167606 + 0.0382549i
\(249\) −3.00539e8 + 2.39672e8i −0.0781814 + 0.0623476i
\(250\) 1.53887e9 6.74221e9i 0.393950 1.72601i
\(251\) −6.17185e9 −1.55496 −0.777482 0.628905i \(-0.783503\pi\)
−0.777482 + 0.628905i \(0.783503\pi\)
\(252\) 2.93778e9i 0.728479i
\(253\) 2.55233e8 1.11825e9i 0.0622953 0.272933i
\(254\) 8.84156e8 + 7.05091e8i 0.212419 + 0.169399i
\(255\) −4.03627e8 1.94376e8i −0.0954596 0.0459709i
\(256\) 5.65615e9 2.72386e9i 1.31692 0.634197i
\(257\) 3.57441e9i 0.819354i 0.912231 + 0.409677i \(0.134359\pi\)
−0.912231 + 0.409677i \(0.865641\pi\)
\(258\) 1.85485e9 5.78018e9i 0.418630 1.30456i
\(259\) −2.05230e9 −0.456080
\(260\) −1.30494e9 2.70974e9i −0.285561 0.592973i
\(261\) 1.92890e8 4.00540e8i 0.0415669 0.0863146i
\(262\) 4.05524e9 5.08511e9i 0.860621 1.07918i
\(263\) −2.51468e9 5.73960e8i −0.525606 0.119966i −0.0485191 0.998822i \(-0.515450\pi\)
−0.477087 + 0.878856i \(0.658307\pi\)
\(264\) 3.54279e9 0.729339
\(265\) 6.51632e9i 1.32135i
\(266\) −3.11707e9 7.11450e8i −0.622615 0.142108i
\(267\) 4.34180e9 + 5.44444e9i 0.854328 + 1.07129i
\(268\) −7.44728e8 3.26287e9i −0.144364 0.632500i
\(269\) −3.37302e9 4.22963e9i −0.644183 0.807780i 0.347336 0.937741i \(-0.387086\pi\)
−0.991519 + 0.129961i \(0.958515\pi\)
\(270\) −2.99941e9 6.22834e9i −0.564392 1.17197i
\(271\) 7.83260e8 3.43169e9i 0.145221 0.636254i −0.848953 0.528468i \(-0.822767\pi\)
0.994174 0.107786i \(-0.0343762\pi\)
\(272\) −2.83445e8 + 1.36500e8i −0.0517836 + 0.0249377i
\(273\) −1.94328e9 + 2.43680e9i −0.349853 + 0.438702i
\(274\) 8.41529e8 + 3.68698e9i 0.149302 + 0.654136i
\(275\) 4.32540e8 + 1.89508e9i 0.0756302 + 0.331358i
\(276\) 1.44569e9 3.00200e9i 0.249137 0.517338i
\(277\) 6.28609e9 + 5.01299e9i 1.06773 + 0.851486i 0.989367 0.145439i \(-0.0464593\pi\)
0.0783628 + 0.996925i \(0.475031\pi\)
\(278\) −1.22829e10 + 9.79525e9i −2.05646 + 1.63997i
\(279\) −2.38818e8 1.15009e8i −0.0394140 0.0189808i
\(280\) 3.13460e9 6.50907e9i 0.509977 1.05898i
\(281\) 3.11677e9 + 3.90831e9i 0.499896 + 0.626850i 0.966206 0.257772i \(-0.0829883\pi\)
−0.466310 + 0.884621i \(0.654417\pi\)
\(282\) 1.00510e10 1.26036e10i 1.58933 1.99296i
\(283\) 3.27206e8 + 1.57574e8i 0.0510124 + 0.0245663i 0.459216 0.888325i \(-0.348130\pi\)
−0.408204 + 0.912891i \(0.633845\pi\)
\(284\) −1.79560e10 + 4.09834e9i −2.76017 + 0.629992i
\(285\) −1.12819e9 + 2.57503e8i −0.171003 + 0.0390304i
\(286\) 3.19340e9 + 2.54665e9i 0.477298 + 0.380632i
\(287\) 3.38153e9 + 7.02181e9i 0.498408 + 1.03496i
\(288\) 1.52921e9 + 3.49032e8i 0.222278 + 0.0507335i
\(289\) 6.08534e9 2.93054e9i 0.872355 0.420104i
\(290\) 1.98837e9 1.58568e9i 0.281129 0.224193i
\(291\) −5.78826e9 + 1.32113e9i −0.807191 + 0.184236i
\(292\) 4.09681e9 3.26709e9i 0.563526 0.449397i
\(293\) 2.42745e9 1.06354e10i 0.329367 1.44305i −0.490972 0.871175i \(-0.663358\pi\)
0.820340 0.571877i \(-0.193784\pi\)
\(294\) −7.18019e9 −0.961052
\(295\) 3.44001e8i 0.0454226i
\(296\) −7.47345e8 + 3.27433e9i −0.0973542 + 0.426536i
\(297\) 4.67481e9 + 3.72803e9i 0.600811 + 0.479131i
\(298\) −1.28906e9 6.20777e8i −0.163458 0.0787174i
\(299\) 1.48781e9 7.16492e8i 0.186150 0.0896451i
\(300\) 5.64664e9i 0.697116i
\(301\) 1.01951e10 + 3.27160e9i 1.24202 + 0.398561i
\(302\) −1.94906e10 −2.34313
\(303\) −4.80010e9 9.96751e9i −0.569482 1.18254i
\(304\) −3.52592e8 + 7.32165e8i −0.0412837 + 0.0857264i
\(305\) −1.56323e9 + 1.96023e9i −0.180644 + 0.226521i
\(306\) −8.04914e8 1.83716e8i −0.0918045 0.0209538i
\(307\) −1.39525e10 −1.57072 −0.785361 0.619038i \(-0.787523\pi\)
−0.785361 + 0.619038i \(0.787523\pi\)
\(308\) 1.45364e10i 1.61530i
\(309\) −9.02043e9 2.05885e9i −0.989449 0.225835i
\(310\) −9.45442e8 1.18555e9i −0.102374 0.128373i
\(311\) −3.75494e9 1.64515e10i −0.401385 1.75858i −0.621800 0.783176i \(-0.713598\pi\)
0.220415 0.975406i \(-0.429259\pi\)
\(312\) 3.18014e9 + 3.98777e9i 0.335605 + 0.420835i
\(313\) −4.85187e9 1.00750e10i −0.505512 1.04971i −0.985063 0.172192i \(-0.944915\pi\)
0.479551 0.877514i \(-0.340799\pi\)
\(314\) −6.30134e9 + 2.76080e10i −0.648208 + 2.83998i
\(315\) 2.65310e9 1.27766e9i 0.269470 0.129770i
\(316\) −5.97332e9 + 7.49030e9i −0.599056 + 0.751192i
\(317\) −2.56109e8 1.12209e9i −0.0253622 0.111119i 0.960662 0.277719i \(-0.0895784\pi\)
−0.986025 + 0.166600i \(0.946721\pi\)
\(318\) −5.72046e9 2.50630e10i −0.559400 2.45089i
\(319\) −9.54434e8 + 1.98190e9i −0.0921687 + 0.191390i
\(320\) 8.91950e9 + 7.11306e9i 0.850630 + 0.678354i
\(321\) 6.31022e8 5.03223e8i 0.0594325 0.0473958i
\(322\) 8.31375e9 + 4.00369e9i 0.773346 + 0.372424i
\(323\) −2.48296e8 + 5.15592e8i −0.0228118 + 0.0473692i
\(324\) 6.99244e9 + 8.76825e9i 0.634525 + 0.795669i
\(325\) −1.74484e9 + 2.18796e9i −0.156395 + 0.196113i
\(326\) 2.00407e10 + 9.65111e9i 1.77437 + 0.854489i
\(327\) 1.56330e10 3.56813e9i 1.36726 0.312068i
\(328\) 1.24343e10 2.83806e9i 1.07430 0.245203i
\(329\) 2.22303e10 + 1.77281e10i 1.89742 + 1.51314i
\(330\) 3.58427e9 + 7.44282e9i 0.302235 + 0.627598i
\(331\) 1.79055e10 + 4.08682e9i 1.49168 + 0.340466i 0.889145 0.457626i \(-0.151300\pi\)
0.602535 + 0.798092i \(0.294157\pi\)
\(332\) −2.32551e9 + 1.11991e9i −0.191411 + 0.0921785i
\(333\) −1.07028e9 + 8.53521e8i −0.0870404 + 0.0694124i
\(334\) −1.52136e10 + 3.47241e9i −1.22249 + 0.279026i
\(335\) 2.62280e9 2.09161e9i 0.208250 0.166074i
\(336\) −9.85038e8 + 4.31573e9i −0.0772851 + 0.338608i
\(337\) −1.29748e10 −1.00596 −0.502982 0.864297i \(-0.667764\pi\)
−0.502982 + 0.864297i \(0.667764\pi\)
\(338\) 1.57790e10i 1.20897i
\(339\) 1.70635e9 7.47602e9i 0.129202 0.566072i
\(340\) −2.35182e9 1.87551e9i −0.175990 0.140348i
\(341\) 1.18169e9 + 5.69072e8i 0.0873948 + 0.0420871i
\(342\) −1.92144e9 + 9.25319e8i −0.140451 + 0.0676374i
\(343\) 5.39007e9i 0.389419i
\(344\) 8.93225e9 1.50745e10i 0.637863 1.07649i
\(345\) 3.33984e9 0.235749
\(346\) 2.49734e9 + 5.18577e9i 0.174250 + 0.361834i
\(347\) 1.00030e10 2.07714e10i 0.689942 1.43268i −0.201475 0.979494i \(-0.564573\pi\)
0.891417 0.453185i \(-0.149712\pi\)
\(348\) −3.98416e9 + 4.99598e9i −0.271656 + 0.340646i
\(349\) −8.22434e9 1.87715e9i −0.554369 0.126531i −0.0638468 0.997960i \(-0.520337\pi\)
−0.490523 + 0.871429i \(0.663194\pi\)
\(350\) −1.56378e10 −1.04209
\(351\) 8.60840e9i 0.567145i
\(352\) −7.56664e9 1.72704e9i −0.492870 0.112494i
\(353\) 1.69434e9 + 2.12464e9i 0.109120 + 0.136832i 0.833392 0.552682i \(-0.186396\pi\)
−0.724272 + 0.689514i \(0.757824\pi\)
\(354\) −3.01987e8 1.32309e9i −0.0192298 0.0842513i
\(355\) −1.15104e10 1.44336e10i −0.724732 0.908785i
\(356\) 2.02878e10 + 4.21280e10i 1.26309 + 2.62283i
\(357\) −6.93666e8 + 3.03915e9i −0.0427049 + 0.187102i
\(358\) 1.83733e9 8.84810e8i 0.111855 0.0538664i
\(359\) 4.67550e9 5.86289e9i 0.281482 0.352967i −0.620911 0.783881i \(-0.713237\pi\)
0.902393 + 0.430914i \(0.141809\pi\)
\(360\) −1.07232e9 4.69815e9i −0.0638432 0.279716i
\(361\) −3.45026e9 1.51166e10i −0.203153 0.890072i
\(362\) 1.79925e10 3.73618e10i 1.04775 2.17567i
\(363\) 5.62101e9 + 4.48260e9i 0.323733 + 0.258169i
\(364\) −1.63622e10 + 1.30484e10i −0.932041 + 0.743278i
\(365\) 4.73223e9 + 2.27892e9i 0.266621 + 0.128398i
\(366\) 4.29166e9 8.91172e9i 0.239167 0.496635i
\(367\) −2.06087e9 2.58424e9i −0.113602 0.142452i 0.721779 0.692123i \(-0.243325\pi\)
−0.835381 + 0.549671i \(0.814753\pi\)
\(368\) 1.46232e9 1.83369e9i 0.0797354 0.0999851i
\(369\) 4.68375e9 + 2.25558e9i 0.252632 + 0.121661i
\(370\) −7.63494e9 + 1.74262e9i −0.407379 + 0.0929816i
\(371\) 4.42063e10 1.00898e10i 2.33340 0.532582i
\(372\) 2.97880e9 + 2.37552e9i 0.155550 + 0.124047i
\(373\) −7.11153e9 1.47672e10i −0.367390 0.762894i 0.632542 0.774526i \(-0.282012\pi\)
−0.999932 + 0.0116321i \(0.996297\pi\)
\(374\) 3.98277e9 + 9.09042e8i 0.203563 + 0.0464620i
\(375\) −1.56923e10 + 7.55701e9i −0.793526 + 0.382142i
\(376\) 3.63795e10 2.90117e10i 1.82014 1.45151i
\(377\) −3.08757e9 + 7.04718e8i −0.152845 + 0.0348859i
\(378\) −3.76084e10 + 2.99917e10i −1.84212 + 1.46904i
\(379\) 2.22712e9 9.75763e9i 0.107941 0.472920i −0.891847 0.452337i \(-0.850591\pi\)
0.999788 0.0205833i \(-0.00655232\pi\)
\(380\) −7.77020e9 −0.372647
\(381\) 2.84815e9i 0.135165i
\(382\) −1.70200e9 + 7.45693e9i −0.0799291 + 0.350192i
\(383\) −9.07842e9 7.23980e9i −0.421906 0.336458i 0.389412 0.921063i \(-0.372678\pi\)
−0.811318 + 0.584605i \(0.801249\pi\)
\(384\) −2.89693e10 1.39509e10i −1.33233 0.641619i
\(385\) −1.31277e10 + 6.32198e9i −0.597512 + 0.287747i
\(386\) 4.15775e10i 1.87287i
\(387\) 6.67743e9 2.53386e9i 0.297691 0.112964i
\(388\) −3.98654e10 −1.75902
\(389\) 1.54806e10 + 3.21458e10i 0.676067 + 1.40387i 0.902865 + 0.429925i \(0.141460\pi\)
−0.226798 + 0.973942i \(0.572826\pi\)
\(390\) −5.16028e9 + 1.07154e10i −0.223056 + 0.463181i
\(391\) 1.02977e9 1.29129e9i 0.0440588 0.0552480i
\(392\) −2.02056e10 4.61179e9i −0.855710 0.195310i
\(393\) −1.63808e10 −0.686695
\(394\) 1.92819e10i 0.800140i
\(395\) −9.36230e9 2.13688e9i −0.384587 0.0877794i
\(396\) 6.04546e9 + 7.58077e9i 0.245838 + 0.308271i
\(397\) −1.76086e9 7.71485e9i −0.0708866 0.310574i 0.927038 0.374967i \(-0.122346\pi\)
−0.997925 + 0.0643929i \(0.979489\pi\)
\(398\) −2.87886e10 3.60998e10i −1.14733 1.43871i
\(399\) 3.49376e9 + 7.25488e9i 0.137849 + 0.286245i
\(400\) −8.84450e8 + 3.87503e9i −0.0345488 + 0.151368i
\(401\) −2.14407e10 + 1.03253e10i −0.829206 + 0.399324i −0.799817 0.600244i \(-0.795070\pi\)
−0.0293885 + 0.999568i \(0.509356\pi\)
\(402\) −8.25159e9 + 1.03472e10i −0.315961 + 0.396203i
\(403\) 4.20181e8 + 1.84093e9i 0.0159300 + 0.0697939i
\(404\) −1.65298e10 7.24219e10i −0.620502 2.71860i
\(405\) −4.87750e9 + 1.01282e10i −0.181291 + 0.376455i
\(406\) −1.38359e10 1.10338e10i −0.509217 0.406087i
\(407\) 5.29583e9 4.22328e9i 0.193000 0.153912i
\(408\) 4.59621e9 + 2.21342e9i 0.165867 + 0.0798771i
\(409\) −5.63319e9 + 1.16974e10i −0.201308 + 0.418020i −0.977044 0.213037i \(-0.931664\pi\)
0.775736 + 0.631057i \(0.217379\pi\)
\(410\) 1.85422e10 + 2.32512e10i 0.656185 + 0.822830i
\(411\) 5.93847e9 7.44660e9i 0.208117 0.260970i
\(412\) −5.59739e10 2.69556e10i −1.94266 0.935535i
\(413\) 2.33368e9 5.32648e8i 0.0802124 0.0183080i
\(414\) 6.00074e9 1.36963e9i 0.204269 0.0466232i
\(415\) −2.02277e9 1.61310e9i −0.0681952 0.0543838i
\(416\) −4.84814e9 1.00673e10i −0.161883 0.336154i
\(417\) 3.85750e10 + 8.80449e9i 1.27574 + 0.291179i
\(418\) 9.50745e9 4.57855e9i 0.311429 0.149976i
\(419\) 3.47786e10 2.77350e10i 1.12838 0.899855i 0.132561 0.991175i \(-0.457680\pi\)
0.995822 + 0.0913201i \(0.0291086\pi\)
\(420\) −4.12655e10 + 9.41858e9i −1.32614 + 0.302683i
\(421\) −2.75019e10 + 2.19321e10i −0.875457 + 0.698154i −0.954338 0.298731i \(-0.903437\pi\)
0.0788807 + 0.996884i \(0.474865\pi\)
\(422\) 1.17252e10 5.13713e10i 0.369717 1.61984i
\(423\) 1.89661e10 0.592401
\(424\) 7.42031e10i 2.29593i
\(425\) −6.22831e8 + 2.72880e9i −0.0190904 + 0.0836405i
\(426\) 5.69419e10 + 4.54096e10i 1.72899 + 1.37883i
\(427\) 1.57186e10 + 7.56967e9i 0.472826 + 0.227701i
\(428\) 4.88272e9 2.35139e9i 0.145508 0.0700729i
\(429\) 1.02870e10i 0.303709i
\(430\) 4.07059e10 + 3.51420e9i 1.19065 + 0.102791i
\(431\) −1.60407e10 −0.464852 −0.232426 0.972614i \(-0.574666\pi\)
−0.232426 + 0.972614i \(0.574666\pi\)
\(432\) 5.30482e9 + 1.10156e10i 0.152313 + 0.316280i
\(433\) −2.25487e10 + 4.68229e10i −0.641461 + 1.33201i 0.286051 + 0.958214i \(0.407657\pi\)
−0.927512 + 0.373793i \(0.878057\pi\)
\(434\) −6.57876e9 + 8.24950e9i −0.185432 + 0.232525i
\(435\) −6.24459e9 1.42529e9i −0.174400 0.0398057i
\(436\) 1.07669e11 2.97950
\(437\) 4.26630e9i 0.116984i
\(438\) −2.02016e10 4.61089e9i −0.548895 0.125282i
\(439\) 2.75088e10 + 3.44950e10i 0.740651 + 0.928747i 0.999307 0.0372223i \(-0.0118510\pi\)
−0.258656 + 0.965970i \(0.583280\pi\)
\(440\) 5.30592e9 + 2.32468e10i 0.141563 + 0.620229i
\(441\) −5.26698e9 6.60459e9i −0.139254 0.174619i
\(442\) 2.55187e9 + 5.29901e9i 0.0668605 + 0.138837i
\(443\) 8.04084e9 3.52292e10i 0.208779 0.914720i −0.756602 0.653876i \(-0.773142\pi\)
0.965381 0.260844i \(-0.0840009\pi\)
\(444\) 1.77282e10 8.53747e9i 0.456177 0.219683i
\(445\) −2.92223e10 + 3.66436e10i −0.745203 + 0.934454i
\(446\) −2.14053e9 9.37826e9i −0.0540980 0.237019i
\(447\) 8.01826e8 + 3.51303e9i 0.0200840 + 0.0879937i
\(448\) 3.44437e10 7.15230e10i 0.855062 1.77555i
\(449\) 3.55995e10 + 2.83896e10i 0.875908 + 0.698513i 0.954441 0.298398i \(-0.0964524\pi\)
−0.0785338 + 0.996911i \(0.525024\pi\)
\(450\) −8.15519e9 + 6.50355e9i −0.198877 + 0.158599i
\(451\) −2.31756e10 1.11608e10i −0.560175 0.269766i
\(452\) 2.23405e10 4.63904e10i 0.535227 1.11141i
\(453\) 3.06056e10 + 3.83782e10i 0.726788 + 0.911363i
\(454\) −6.69555e10 + 8.39596e10i −1.57603 + 1.97627i
\(455\) −1.89000e10 9.10175e9i −0.440977 0.212363i
\(456\) 1.28470e10 2.93225e9i 0.297128 0.0678176i
\(457\) −2.83373e10 + 6.46780e9i −0.649670 + 0.148283i −0.534641 0.845079i \(-0.679553\pi\)
−0.115029 + 0.993362i \(0.536696\pi\)
\(458\) 4.00960e10 + 3.19755e10i 0.911253 + 0.726700i
\(459\) 3.73567e9 + 7.75720e9i 0.0841623 + 0.174765i
\(460\) 2.18634e10 + 4.99019e9i 0.488301 + 0.111451i
\(461\) −7.34952e10 + 3.53934e10i −1.62725 + 0.783644i −0.627266 + 0.778805i \(0.715826\pi\)
−0.999988 + 0.00483871i \(0.998460\pi\)
\(462\) 4.49417e10 3.58398e10i 0.986466 0.786680i
\(463\) −4.53438e10 + 1.03494e10i −0.986721 + 0.225213i −0.685286 0.728274i \(-0.740323\pi\)
−0.301435 + 0.953487i \(0.597466\pi\)
\(464\) −3.51668e9 + 2.80446e9i −0.0758684 + 0.0605030i
\(465\) −8.49813e8 + 3.72328e9i −0.0181766 + 0.0796367i
\(466\) 6.07303e10 1.28784
\(467\) 6.14602e10i 1.29219i 0.763257 + 0.646095i \(0.223599\pi\)
−0.763257 + 0.646095i \(0.776401\pi\)
\(468\) −3.10630e9 + 1.36096e10i −0.0647529 + 0.283701i
\(469\) −1.82504e10 1.45542e10i −0.377209 0.300814i
\(470\) 9.77543e10 + 4.70760e10i 2.00329 + 0.964735i
\(471\) 6.42567e10 3.09444e10i 1.30567 0.628780i
\(472\) 3.91724e9i 0.0789245i
\(473\) −3.30404e10 + 1.25377e10i −0.660086 + 0.250481i
\(474\) 3.78850e10 0.750506
\(475\) 3.13700e9 + 6.51404e9i 0.0616225 + 0.127960i
\(476\) −9.08183e9 + 1.88586e10i −0.176907 + 0.367352i
\(477\) 1.88576e10 2.36466e10i 0.364261 0.456768i
\(478\) −1.18728e11 2.70988e10i −2.27426 0.519085i
\(479\) 2.99385e8 0.00568707 0.00284353 0.999996i \(-0.499095\pi\)
0.00284353 + 0.999996i \(0.499095\pi\)
\(480\) 2.25990e10i 0.425720i
\(481\) 9.50747e9 + 2.17002e9i 0.177617 + 0.0405400i
\(482\) −1.32479e10 1.66124e10i −0.245448 0.307782i
\(483\) −5.17137e9 2.26572e10i −0.0950204 0.416311i
\(484\) 3.00989e10 + 3.77428e10i 0.548491 + 0.687786i
\(485\) −1.73378e10 3.60023e10i −0.313348 0.650674i
\(486\) −1.25553e10 + 5.50085e10i −0.225052 + 0.986017i
\(487\) −2.62259e10 + 1.26298e10i −0.466246 + 0.224532i −0.652231 0.758020i \(-0.726167\pi\)
0.185985 + 0.982553i \(0.440452\pi\)
\(488\) 1.78010e10 2.23217e10i 0.313880 0.393593i
\(489\) −1.24658e10 5.46164e10i −0.218015 0.955185i
\(490\) −1.07535e10 4.71144e10i −0.186538 0.817277i
\(491\) 4.66120e10 9.67908e10i 0.801995 1.66536i 0.0569216 0.998379i \(-0.481872\pi\)
0.745074 0.666982i \(-0.232414\pi\)
\(492\) −5.84209e10 4.65891e10i −0.997029 0.795104i
\(493\) −2.47645e9 + 1.97491e9i −0.0419221 + 0.0334317i
\(494\) 1.36879e10 + 6.59173e9i 0.229841 + 0.110686i
\(495\) −4.21694e9 + 8.75657e9i −0.0702388 + 0.145852i
\(496\) 1.67213e9 + 2.09678e9i 0.0276276 + 0.0346439i
\(497\) −8.00940e10 + 1.00435e11i −1.31273 + 1.64611i
\(498\) 9.19601e9 + 4.42857e9i 0.149514 + 0.0720022i
\(499\) 5.00773e10 1.14298e10i 0.807679 0.184347i 0.201307 0.979528i \(-0.435481\pi\)
0.606372 + 0.795181i \(0.292624\pi\)
\(500\) −1.14017e11 + 2.60237e10i −1.82427 + 0.416378i
\(501\) 3.07270e10 + 2.45040e10i 0.487719 + 0.388943i
\(502\) 7.11034e10 + 1.47648e11i 1.11963 + 2.32494i
\(503\) −5.72386e10 1.30643e10i −0.894164 0.204087i −0.249338 0.968417i \(-0.580213\pi\)
−0.644826 + 0.764329i \(0.723070\pi\)
\(504\) −3.02115e10 + 1.45491e10i −0.468221 + 0.225483i
\(505\) 5.82150e10 4.64249e10i 0.895096 0.713815i
\(506\) −2.96921e10 + 6.77703e9i −0.452938 + 0.103380i
\(507\) −3.10700e10 + 2.47775e10i −0.470228 + 0.374995i
\(508\) 4.25553e9 1.86447e10i 0.0638998 0.279963i
\(509\) −2.42908e10 −0.361885 −0.180943 0.983494i \(-0.557915\pi\)
−0.180943 + 0.983494i \(0.557915\pi\)
\(510\) 1.18952e10i 0.175829i
\(511\) 8.13273e9 3.56318e10i 0.119276 0.522582i
\(512\) −3.40895e10 2.71855e10i −0.496068 0.395601i
\(513\) 2.00376e10 + 9.64960e9i 0.289319 + 0.139328i
\(514\) 8.55098e10 4.11793e10i 1.22508 0.589966i
\(515\) 6.22730e10i 0.885260i
\(516\) −1.01678e11 + 1.41505e10i −1.43426 + 0.199605i
\(517\) −9.38456e10 −1.31356
\(518\) 2.36437e10 + 4.90966e10i 0.328395 + 0.681919i
\(519\) 6.28961e9 1.30605e10i 0.0866871 0.180008i
\(520\) −2.14038e10 + 2.68395e10i −0.292737 + 0.367081i
\(521\) −6.47727e9 1.47839e9i −0.0879106 0.0200650i 0.178339 0.983969i \(-0.442928\pi\)
−0.266250 + 0.963904i \(0.585785\pi\)
\(522\) −1.18043e10 −0.158985
\(523\) 8.89814e10i 1.18930i −0.803984 0.594651i \(-0.797290\pi\)
0.803984 0.594651i \(-0.202710\pi\)
\(524\) −1.07233e11 2.44752e10i −1.42234 0.324639i
\(525\) 2.45557e10 + 3.07919e10i 0.323233 + 0.405321i
\(526\) 1.52400e10 + 6.67706e10i 0.199086 + 0.872253i
\(527\) 1.17752e9 + 1.47656e9i 0.0152660 + 0.0191429i
\(528\) −6.33922e9 1.31635e10i −0.0815644 0.169370i
\(529\) 1.46859e10 6.43432e10i 0.187533 0.821637i
\(530\) 1.55889e11 7.50720e10i 1.97565 0.951425i
\(531\) 9.95505e8 1.24832e9i 0.0125218 0.0157018i
\(532\) 1.20313e10 + 5.27125e10i 0.150198 + 0.658062i
\(533\) −8.24068e9 3.61048e10i −0.102107 0.447359i
\(534\) 8.02261e10 1.66591e11i 0.986621 2.04874i
\(535\) 4.24707e9 + 3.38692e9i 0.0518411 + 0.0413419i
\(536\) −2.98665e10 + 2.38177e10i −0.361847 + 0.288563i
\(537\) −4.62736e9 2.22842e9i −0.0556463 0.0267978i
\(538\) −6.23253e10 + 1.29420e11i −0.743936 + 1.54480i
\(539\) 2.60614e10 + 3.26800e10i 0.308776 + 0.387192i
\(540\) −7.28886e10 + 9.13994e10i −0.857205 + 1.07490i
\(541\) −1.37260e11 6.61012e10i −1.60235 0.771649i −0.602693 0.797973i \(-0.705906\pi\)
−0.999653 + 0.0263236i \(0.991620\pi\)
\(542\) −9.11192e10 + 2.07974e10i −1.05588 + 0.240997i
\(543\) −1.01821e11 + 2.32400e10i −1.17122 + 0.267323i
\(544\) −8.73751e9 6.96794e9i −0.0997682 0.0795625i
\(545\) 4.68261e10 + 9.72353e10i 0.530764 + 1.10214i
\(546\) 8.06828e10 + 1.84153e10i 0.907843 + 0.207209i
\(547\) 7.99023e10 3.84789e10i 0.892504 0.429807i 0.0693280 0.997594i \(-0.477914\pi\)
0.823176 + 0.567787i \(0.192200\pi\)
\(548\) 5.00010e10 3.98745e10i 0.554443 0.442153i
\(549\) 1.13454e10 2.58952e9i 0.124891 0.0285056i
\(550\) 4.03525e10 3.21800e10i 0.440981 0.351670i
\(551\) −1.82066e9 + 7.97683e9i −0.0197525 + 0.0865414i
\(552\) −3.80316e10 −0.409627
\(553\) 6.68220e10i 0.714527i
\(554\) 4.75051e10 2.08133e11i 0.504314 2.20954i
\(555\) 1.54203e10 + 1.22973e10i 0.162525 + 0.129610i
\(556\) 2.39367e11 + 1.15273e11i 2.50475 + 1.20622i
\(557\) 1.14617e11 5.51965e10i 1.19077 0.573444i 0.269738 0.962934i \(-0.413063\pi\)
0.921031 + 0.389490i \(0.127349\pi\)
\(558\) 7.03816e9i 0.0725977i
\(559\) −4.37708e10 2.59360e10i −0.448268 0.265617i
\(560\) −2.97939e10 −0.302953
\(561\) −4.46410e9 9.26979e9i −0.0450694 0.0935876i
\(562\) 5.75905e10 1.19588e11i 0.577305 1.19879i
\(563\) 2.47326e10 3.10137e10i 0.246171 0.308688i −0.643360 0.765564i \(-0.722460\pi\)
0.889531 + 0.456876i \(0.151032\pi\)
\(564\) −2.65779e11 6.06624e10i −2.62667 0.599519i
\(565\) 5.16111e10 0.506464
\(566\) 9.64303e9i 0.0939610i
\(567\) 7.62615e10 + 1.74062e10i 0.737858 + 0.168411i
\(568\) 1.31072e11 + 1.64359e11i 1.25926 + 1.57907i
\(569\) −4.09172e10 1.79270e11i −0.390353 1.71025i −0.663416 0.748251i \(-0.730894\pi\)
0.273063 0.961996i \(-0.411963\pi\)
\(570\) 1.91577e10 + 2.40230e10i 0.181486 + 0.227576i
\(571\) 3.90353e10 + 8.10576e10i 0.367209 + 0.762517i 0.999930 0.0118632i \(-0.00377628\pi\)
−0.632721 + 0.774380i \(0.718062\pi\)
\(572\) 1.53702e10 6.73412e10i 0.143580 0.629066i
\(573\) 1.73558e10 8.35810e9i 0.161000 0.0775335i
\(574\) 1.29024e11 1.61791e11i 1.18857 1.49041i
\(575\) −4.64329e9 2.03436e10i −0.0424770 0.186104i
\(576\) −1.17829e10 5.16242e10i −0.107044 0.468990i
\(577\) −5.28407e10 + 1.09725e11i −0.476722 + 0.989923i 0.514472 + 0.857507i \(0.327988\pi\)
−0.991194 + 0.132416i \(0.957727\pi\)
\(578\) −1.40214e11 1.11817e11i −1.25626 1.00183i
\(579\) 8.18687e10 6.52881e10i 0.728457 0.580925i
\(580\) −3.87492e10 1.86606e10i −0.342413 0.164897i
\(581\) −7.81115e9 + 1.62200e10i −0.0685505 + 0.142347i
\(582\) 9.82895e10 + 1.23251e11i 0.856673 + 1.07423i
\(583\) −9.33086e10 + 1.17005e11i −0.807695 + 1.01282i
\(584\) −5.38872e10 2.59507e10i −0.463270 0.223099i
\(585\) −1.36417e10 + 3.11363e9i −0.116478 + 0.0265854i
\(586\) −2.82393e11 + 6.44544e10i −2.39477 + 0.546591i
\(587\) −1.00511e11 8.01545e10i −0.846564 0.675112i 0.100928 0.994894i \(-0.467819\pi\)
−0.947491 + 0.319782i \(0.896390\pi\)
\(588\) 5.26838e10 + 1.09399e11i 0.440725 + 0.915175i
\(589\) 4.75611e9 + 1.08555e9i 0.0395176 + 0.00901963i
\(590\) 8.22947e9 3.96311e9i 0.0679147 0.0327060i
\(591\) 3.79674e10 3.02780e10i 0.311215 0.248186i
\(592\) 1.35033e10 3.08204e9i 0.109939 0.0250930i
\(593\) 1.00924e10 8.04840e9i 0.0816158 0.0650865i −0.581832 0.813309i \(-0.697664\pi\)
0.663448 + 0.748223i \(0.269092\pi\)
\(594\) 3.53283e10 1.54784e11i 0.283777 1.24331i
\(595\) −2.09809e10 −0.167400
\(596\) 2.41952e10i 0.191754i
\(597\) −2.58767e10 + 1.13373e11i −0.203710 + 0.892511i
\(598\) −3.42810e10 2.73382e10i −0.268070 0.213779i
\(599\) −1.24920e11 6.01584e10i −0.970343 0.467292i −0.119570 0.992826i \(-0.538151\pi\)
−0.850773 + 0.525533i \(0.823866\pi\)
\(600\) 5.80689e10 2.79645e10i 0.448062 0.215775i
\(601\) 1.33799e11i 1.02555i 0.858523 + 0.512774i \(0.171382\pi\)
−0.858523 + 0.512774i \(0.828618\pi\)
\(602\) −3.91884e10 2.81587e11i −0.298381 2.14401i
\(603\) −1.55706e10 −0.117770
\(604\) 1.43010e11 + 2.96963e11i 1.07453 + 2.23128i
\(605\) −2.09952e10 + 4.35969e10i −0.156710 + 0.325412i
\(606\) −1.83151e11 + 2.29664e11i −1.35806 + 1.70295i
\(607\) −1.23775e11 2.82508e10i −0.911752 0.208102i −0.259181 0.965829i \(-0.583453\pi\)
−0.652571 + 0.757727i \(0.726310\pi\)
\(608\) −2.88679e10 −0.211252
\(609\) 4.45698e10i 0.324020i
\(610\) 6.49036e10 + 1.48138e10i 0.468759 + 0.106991i
\(611\) −8.42393e10 1.05633e11i −0.604436 0.757938i
\(612\) 3.10682e9 + 1.36119e10i 0.0221467 + 0.0970312i
\(613\) 8.36765e9 + 1.04927e10i 0.0592600 + 0.0743097i 0.810578 0.585631i \(-0.199153\pi\)
−0.751318 + 0.659940i \(0.770582\pi\)
\(614\) 1.60742e11 + 3.33783e11i 1.13098 + 2.34850i
\(615\) 1.66667e10 7.30217e10i 0.116506 0.510448i
\(616\) 1.49489e11 7.19901e10i 1.03821 0.499977i
\(617\) 1.06026e11 1.32953e11i 0.731600 0.917397i −0.267332 0.963604i \(-0.586142\pi\)
0.998932 + 0.0462072i \(0.0147135\pi\)
\(618\) 5.46673e10 + 2.39513e11i 0.374778 + 1.64201i
\(619\) 4.08714e10 + 1.79069e11i 0.278392 + 1.21972i 0.899826 + 0.436249i \(0.143693\pi\)
−0.621434 + 0.783466i \(0.713450\pi\)
\(620\) −1.11262e10 + 2.31038e10i −0.0752974 + 0.156357i
\(621\) −5.01837e10 4.00202e10i −0.337440 0.269100i
\(622\) −3.50305e11 + 2.79359e11i −2.34037 + 1.86639i
\(623\) 2.93835e11 + 1.41504e11i 1.95053 + 0.939323i
\(624\) 9.12658e9 1.89515e10i 0.0601963 0.124999i
\(625\) −2.72893e10 3.42197e10i −0.178843 0.224262i
\(626\) −1.85126e11 + 2.32140e11i −1.20551 + 1.51166i
\(627\) −2.39448e10 1.15312e10i −0.154932 0.0746112i
\(628\) 4.66877e11 1.06562e11i 3.00167 0.685112i
\(629\) 9.50906e9 2.17038e9i 0.0607484 0.0138654i
\(630\) −6.11306e10 4.87500e10i −0.388058 0.309466i
\(631\) 1.27617e11 + 2.65000e11i 0.804994 + 1.67159i 0.738940 + 0.673771i \(0.235327\pi\)
0.0660535 + 0.997816i \(0.478959\pi\)
\(632\) 1.06611e11 + 2.43333e10i 0.668242 + 0.152522i
\(633\) −1.19565e11 + 5.75796e10i −0.744715 + 0.358636i
\(634\) −2.38929e10 + 1.90539e10i −0.147881 + 0.117931i
\(635\) 1.86887e10 4.26558e9i 0.114944 0.0262351i
\(636\) −3.39892e11 + 2.71055e11i −2.07736 + 1.65664i
\(637\) −1.33909e10 + 5.86696e10i −0.0813305 + 0.356332i
\(638\) 5.84083e10 0.352527
\(639\) 8.56870e10i 0.513939i
\(640\) 4.81553e10 2.10982e11i 0.287028 1.25755i
\(641\) 1.82881e10 + 1.45843e10i 0.108327 + 0.0863879i 0.676155 0.736759i \(-0.263645\pi\)
−0.567828 + 0.823147i \(0.692216\pi\)
\(642\) −1.93082e10 9.29836e9i −0.113659 0.0547351i
\(643\) 2.29083e11 1.10321e11i 1.34014 0.645377i 0.380022 0.924977i \(-0.375916\pi\)
0.960116 + 0.279601i \(0.0902021\pi\)
\(644\) 1.56047e11i 0.907218i
\(645\) −5.69998e10 8.56708e10i −0.329332 0.494987i
\(646\) 1.51949e10 0.0872506
\(647\) −1.14470e10 2.37699e10i −0.0653242 0.135647i 0.865750 0.500476i \(-0.166842\pi\)
−0.931075 + 0.364829i \(0.881127\pi\)
\(648\) 5.55414e10 1.15333e11i 0.315004 0.654113i
\(649\) −4.92583e9 + 6.17680e9i −0.0277652 + 0.0348164i
\(650\) 7.24438e10 + 1.65348e10i 0.405834 + 0.0926289i
\(651\) 2.65743e10 0.147958
\(652\) 3.76159e11i 2.08152i
\(653\) 2.31886e11 + 5.29265e10i 1.27533 + 0.291086i 0.805988 0.591931i \(-0.201634\pi\)
0.469341 + 0.883017i \(0.344491\pi\)
\(654\) −2.65461e11 3.32878e11i −1.45107 1.81959i
\(655\) −2.45330e10 1.07486e11i −0.133286 0.583965i
\(656\) −3.27942e10 4.11226e10i −0.177085 0.222057i
\(657\) −1.05775e10 2.19644e10i −0.0567704 0.117885i
\(658\) 1.67999e11 7.36050e11i 0.896194 3.92648i
\(659\) 3.32140e11 1.59950e11i 1.76108 0.848093i 0.788674 0.614812i \(-0.210768\pi\)
0.972409 0.233281i \(-0.0749462\pi\)
\(660\) 8.71013e10 1.09222e11i 0.459038 0.575616i
\(661\) 1.65823e10 + 7.26517e10i 0.0868637 + 0.380575i 0.999609 0.0279538i \(-0.00889913\pi\)
−0.912745 + 0.408529i \(0.866042\pi\)
\(662\) −1.08515e11 4.75433e11i −0.565010 2.47547i
\(663\) 6.42696e9 1.33457e10i 0.0332622 0.0690697i
\(664\) 2.30338e10 + 1.83688e10i 0.118493 + 0.0944951i
\(665\) −4.23719e10 + 3.37905e10i −0.216666 + 0.172786i
\(666\) 3.27489e10 + 1.57710e10i 0.166456 + 0.0801610i
\(667\) 1.02458e10 2.12756e10i 0.0517657 0.107493i
\(668\) 1.64535e11 + 2.06320e11i 0.826326 + 1.03618i
\(669\) −1.51052e10 + 1.89413e10i −0.0754087 + 0.0945595i
\(670\) −8.02533e10 3.86480e10i −0.398257 0.191791i
\(671\) −5.61380e10 + 1.28131e10i −0.276928 + 0.0632070i
\(672\) −1.53310e11 + 3.49920e10i −0.751785 + 0.171590i
\(673\) 7.58472e10 + 6.04861e10i 0.369725 + 0.294846i 0.790673 0.612239i \(-0.209731\pi\)
−0.420948 + 0.907085i \(0.638302\pi\)
\(674\) 1.49478e11 + 3.10394e11i 0.724332 + 1.50409i
\(675\) 1.06050e11 + 2.42053e10i 0.510853 + 0.116599i
\(676\) −2.40413e11 + 1.15777e11i −1.15125 + 0.554415i
\(677\) 4.12667e10 3.29091e10i 0.196447 0.156661i −0.520326 0.853967i \(-0.674190\pi\)
0.716773 + 0.697306i \(0.245618\pi\)
\(678\) −1.98505e11 + 4.53076e10i −0.939407 + 0.214413i
\(679\) −2.17392e11 + 1.73364e11i −1.02274 + 0.815605i
\(680\) −7.64021e9 + 3.34740e10i −0.0357330 + 0.156557i
\(681\) 2.70461e11 1.25752
\(682\) 3.48254e10i 0.160975i
\(683\) −3.96837e10 + 1.73866e11i −0.182360 + 0.798971i 0.798143 + 0.602468i \(0.205816\pi\)
−0.980503 + 0.196503i \(0.937041\pi\)
\(684\) 2.81967e10 + 2.24861e10i 0.128817 + 0.102728i
\(685\) 5.77563e10 + 2.78140e10i 0.262324 + 0.126328i
\(686\) 1.28945e11 6.20968e10i 0.582250 0.280397i
\(687\) 1.29162e11i 0.579839i
\(688\) −7.19933e10 6.21529e9i −0.321320 0.0277401i
\(689\) −2.15459e11 −0.956065
\(690\) −3.84770e10 7.98982e10i −0.169748 0.352485i
\(691\) −6.24437e10 + 1.29666e11i −0.273890 + 0.568739i −0.991860 0.127336i \(-0.959357\pi\)
0.717969 + 0.696075i \(0.245072\pi\)
\(692\) 6.06877e10 7.61000e10i 0.264653 0.331864i
\(693\) 6.59335e10 + 1.50489e10i 0.285873 + 0.0652486i
\(694\) −6.12151e11 −2.63889
\(695\) 2.66304e11i 1.14140i
\(696\) 7.11089e10 + 1.62301e10i 0.303031 + 0.0691648i
\(697\) −2.30937e10 2.89586e10i −0.0978505 0.122701i
\(698\) 4.98427e10 + 2.18375e11i 0.209981 + 0.919986i
\(699\) −9.53634e10 1.19582e11i −0.399460 0.500906i
\(700\) 1.14741e11 + 2.38261e11i 0.477887 + 0.992342i
\(701\) 2.19419e10 9.61337e10i 0.0908661 0.398110i −0.908958 0.416889i \(-0.863121\pi\)
0.999824 + 0.0187783i \(0.00597767\pi\)
\(702\) 2.05937e11 9.91740e10i 0.847980 0.408366i
\(703\) 1.57085e10 1.96979e10i 0.0643153 0.0806488i
\(704\) 5.83026e10 + 2.55440e11i 0.237354 + 1.03992i
\(705\) −6.08056e10 2.66407e11i −0.246143 1.07842i
\(706\) 3.13074e10 6.50106e10i 0.126017 0.261677i
\(707\) −4.05083e11 3.23043e11i −1.62131 1.29295i
\(708\) −1.79431e10 + 1.43092e10i −0.0714110 + 0.0569484i
\(709\) 2.59270e11 + 1.24858e11i 1.02605 + 0.494119i 0.869699 0.493583i \(-0.164313\pi\)
0.156350 + 0.987702i \(0.450027\pi\)
\(710\) −2.12685e11 + 4.41645e11i −0.836957 + 1.73796i
\(711\) 2.77903e10 + 3.48479e10i 0.108746 + 0.136364i
\(712\) 3.32762e11 4.17270e11i 1.29483 1.62367i
\(713\) −1.26854e10 6.10895e9i −0.0490845 0.0236379i
\(714\) 8.06963e10 1.84184e10i 0.310500 0.0708695i
\(715\) 6.75002e10 1.54065e10i 0.258274 0.0589494i
\(716\) −2.69623e10 2.15017e10i −0.102590 0.0818129i
\(717\) 1.33076e11 + 2.76335e11i 0.503528 + 1.04559i
\(718\) −1.94121e11 4.43069e10i −0.730424 0.166715i
\(719\) −2.11602e11 + 1.01902e11i −0.791780 + 0.381301i −0.785643 0.618680i \(-0.787668\pi\)
−0.00613717 + 0.999981i \(0.501954\pi\)
\(720\) −1.55376e10 + 1.23908e10i −0.0578169 + 0.0461074i
\(721\) −4.22456e11 + 9.64227e10i −1.56329 + 0.356811i
\(722\) −3.21882e11 + 2.56692e11i −1.18453 + 0.944635i
\(723\) −1.19079e10 + 5.21720e10i −0.0435796 + 0.190935i
\(724\) −7.01271e11 −2.55230
\(725\) 4.00185e10i 0.144847i
\(726\) 4.24789e10 1.86112e11i 0.152907 0.669929i
\(727\) −3.15171e11 2.51340e11i −1.12826 0.899755i −0.132447 0.991190i \(-0.542283\pi\)
−0.995811 + 0.0914346i \(0.970855\pi\)
\(728\) 2.15219e11 + 1.03644e11i 0.766223 + 0.368994i
\(729\) 2.75673e11 1.32757e11i 0.976076 0.470053i
\(730\) 1.39463e11i 0.491097i
\(731\) −5.06978e10 4.37682e9i −0.177550 0.0153281i
\(732\) −1.67270e11 −0.582606
\(733\) −6.56824e9 1.36391e10i −0.0227527 0.0472465i 0.889283 0.457358i \(-0.151204\pi\)
−0.912035 + 0.410111i \(0.865490\pi\)
\(734\) −3.80799e10 + 7.90737e10i −0.131193 + 0.272425i
\(735\) −7.58852e10 + 9.51570e10i −0.260021 + 0.326056i
\(736\) 8.12273e10 + 1.85396e10i 0.276816 + 0.0631814i
\(737\) 7.70444e10 0.261139
\(738\) 1.38034e11i 0.465330i
\(739\) 6.03777e10 + 1.37808e10i 0.202441 + 0.0462059i 0.322539 0.946556i \(-0.395464\pi\)
−0.120098 + 0.992762i \(0.538321\pi\)
\(740\) 8.25715e10 + 1.03541e11i 0.275361 + 0.345292i
\(741\) −8.51420e9 3.73031e10i −0.0282404 0.123729i
\(742\) −7.50659e11 9.41297e11i −2.47644 3.10535i
\(743\) −1.70289e11 3.53610e11i −0.558769 1.16030i −0.968713 0.248185i \(-0.920166\pi\)
0.409944 0.912111i \(-0.365548\pi\)
\(744\) 9.67705e9 4.23979e10i 0.0315828 0.138373i
\(745\) −2.18506e10 + 1.05227e10i −0.0709315 + 0.0341588i
\(746\) −2.71345e11 + 3.40255e11i −0.876124 + 1.09863i
\(747\) 2.67213e9 + 1.17074e10i 0.00858173 + 0.0375990i
\(748\) −1.53728e10 6.73524e10i −0.0491072 0.215153i
\(749\) 1.64005e10 3.40561e10i 0.0521112 0.108210i
\(750\) 3.61569e11 + 2.88342e11i 1.14274 + 0.911303i
\(751\) 1.16174e11 9.26453e10i 0.365214 0.291249i −0.423638 0.905832i \(-0.639247\pi\)
0.788852 + 0.614583i \(0.210676\pi\)
\(752\) −1.72890e11 8.32596e10i −0.540629 0.260353i
\(753\) 1.79076e11 3.71855e11i 0.557003 1.15663i
\(754\) 5.24295e10 + 6.57445e10i 0.162215 + 0.203411i