Properties

Label 43.9.f.a.2.3
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 2.3
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-12.3921 - 25.7324i) q^{2} +(27.0409 - 56.1510i) q^{3} +(-348.980 + 437.608i) q^{4} +(1129.38 + 257.774i) q^{5} -1780.00 q^{6} -11.8724i q^{7} +(8457.04 + 1930.26i) q^{8} +(1668.99 + 2092.85i) q^{9} +O(q^{10})\) \(q+(-12.3921 - 25.7324i) q^{2} +(27.0409 - 56.1510i) q^{3} +(-348.980 + 437.608i) q^{4} +(1129.38 + 257.774i) q^{5} -1780.00 q^{6} -11.8724i q^{7} +(8457.04 + 1930.26i) q^{8} +(1668.99 + 2092.85i) q^{9} +(-7362.24 - 32256.1i) q^{10} +(-12508.3 - 15684.9i) q^{11} +(15135.4 + 31428.9i) q^{12} +(6786.94 - 29735.5i) q^{13} +(-305.506 + 147.124i) q^{14} +(45013.8 - 56445.5i) q^{15} +(-23245.2 - 101844. i) q^{16} +(-21094.6 - 92421.4i) q^{17} +(33171.7 - 68881.8i) q^{18} +(116284. + 92733.8i) q^{19} +(-506936. + 404268. i) q^{20} +(-666.648 - 321.041i) q^{21} +(-248606. + 516236. i) q^{22} +(-185694. - 232853. i) q^{23} +(337072. - 422675. i) q^{24} +(857116. + 412765. i) q^{25} +(-849272. + 193841. i) q^{26} +(561295. - 128112. i) q^{27} +(5195.45 + 4143.23i) q^{28} +(-275561. - 572208. i) q^{29} +(-2.01030e6 - 458837. i) q^{30} +(-757303. + 364698. i) q^{31} +(-596438. + 475644. i) q^{32} +(-1.21896e6 + 278219. i) q^{33} +(-2.11682e6 + 1.68811e6i) q^{34} +(3060.40 - 13408.5i) q^{35} -1.49829e6 q^{36} -1.84091e6i q^{37} +(945258. - 4.14144e6i) q^{38} +(-1.48616e6 - 1.18517e6i) q^{39} +(9.05366e6 + 4.36001e6i) q^{40} +(-517234. + 249087. i) q^{41} +21132.8i q^{42} +(2.80764e6 - 1.95074e6i) q^{43} +1.12289e7 q^{44} +(1.34545e6 + 2.79385e6i) q^{45} +(-3.69074e6 + 7.66390e6i) q^{46} +(-1.00831e6 + 1.26438e6i) q^{47} +(-6.34722e6 - 1.44871e6i) q^{48} +5.76466e6 q^{49} -2.71707e7i q^{50} +(-5.75997e6 - 1.31468e6i) q^{51} +(1.06440e7 + 1.33471e7i) q^{52} +(1.66900e6 + 7.31236e6i) q^{53} +(-1.02522e7 - 1.28559e7i) q^{54} +(-1.00835e7 - 2.09385e7i) q^{55} +(22916.9 - 100405. i) q^{56} +(8.35153e6 - 4.02189e6i) q^{57} +(-1.13095e7 + 1.41817e7i) q^{58} +(-2.18535e6 - 9.57464e6i) q^{59} +(8.99206e6 + 3.93968e7i) q^{60} +(-6.88438e6 + 1.42956e7i) q^{61} +(1.87691e7 + 1.49679e7i) q^{62} +(24847.1 - 19814.9i) q^{63} +(-4.46362e6 - 2.14957e6i) q^{64} +(1.53301e7 - 3.18333e7i) q^{65} +(2.22646e7 + 2.79190e7i) q^{66} +(-562858. + 705802. i) q^{67} +(4.78059e7 + 2.30221e7i) q^{68} +(-1.80963e7 + 4.13036e6i) q^{69} +(-382957. + 87407.5i) q^{70} +(-2.82767e7 - 2.25499e7i) q^{71} +(1.00750e7 + 2.09209e7i) q^{72} +(4.78764e6 + 1.09275e6i) q^{73} +(-4.73711e7 + 2.28127e7i) q^{74} +(4.63544e7 - 3.69664e7i) q^{75} +(-8.11620e7 + 1.85247e7i) q^{76} +(-186217. + 148503. i) q^{77} +(-1.20807e7 + 5.29291e7i) q^{78} +1.32541e6 q^{79} -1.21013e8i q^{80} +(4.07622e6 - 1.78591e7i) q^{81} +(1.28192e7 + 1.02230e7i) q^{82} +(1.95408e7 + 9.41034e6i) q^{83} +(373137. - 179693. i) q^{84} -1.09817e8i q^{85} +(-8.49897e7 - 4.80736e7i) q^{86} -3.95815e7 q^{87} +(-7.55069e7 - 1.56792e8i) q^{88} +(-4.65973e7 + 9.67603e7i) q^{89} +(5.52195e7 - 6.92431e7i) q^{90} +(-353032. - 80577.3i) q^{91} +1.66702e8 q^{92} +5.23851e7i q^{93} +(4.50306e7 + 1.02779e7i) q^{94} +(1.07425e8 + 1.34707e8i) q^{95} +(1.05797e7 + 4.63525e7i) q^{96} +(9.37499e7 + 1.17559e8i) q^{97} +(-7.14361e7 - 1.48339e8i) q^{98} +(1.19498e7 - 5.23557e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −12.3921 25.7324i −0.774505 1.60828i −0.793586 0.608458i \(-0.791788\pi\)
0.0190809 0.999818i \(-0.493926\pi\)
\(3\) 27.0409 56.1510i 0.333838 0.693223i −0.664709 0.747102i \(-0.731444\pi\)
0.998547 + 0.0538797i \(0.0171588\pi\)
\(4\) −348.980 + 437.608i −1.36320 + 1.70940i
\(5\) 1129.38 + 257.774i 1.80701 + 0.412439i 0.987107 0.160061i \(-0.0511691\pi\)
0.819905 + 0.572500i \(0.194026\pi\)
\(6\) −1780.00 −1.37345
\(7\) 11.8724i 0.00494477i −0.999997 0.00247239i \(-0.999213\pi\)
0.999997 0.00247239i \(-0.000786986\pi\)
\(8\) 8457.04 + 1930.26i 2.06471 + 0.471256i
\(9\) 1668.99 + 2092.85i 0.254380 + 0.318983i
\(10\) −7362.24 32256.1i −0.736224 3.22561i
\(11\) −12508.3 15684.9i −0.854331 1.07130i −0.996675 0.0814797i \(-0.974035\pi\)
0.142344 0.989817i \(-0.454536\pi\)
\(12\) 15135.4 + 31428.9i 0.729908 + 1.51567i
\(13\) 6786.94 29735.5i 0.237630 1.04112i −0.705503 0.708707i \(-0.749279\pi\)
0.943133 0.332417i \(-0.107864\pi\)
\(14\) −305.506 + 147.124i −0.00795256 + 0.00382975i
\(15\) 45013.8 56445.5i 0.889162 1.11497i
\(16\) −23245.2 101844.i −0.354694 1.55402i
\(17\) −21094.6 92421.4i −0.252566 1.10656i −0.929005 0.370066i \(-0.879335\pi\)
0.676439 0.736498i \(-0.263522\pi\)
\(18\) 33171.7 68881.8i 0.315994 0.656167i
\(19\) 116284. + 92733.8i 0.892293 + 0.711580i 0.958155 0.286249i \(-0.0924085\pi\)
−0.0658627 + 0.997829i \(0.520980\pi\)
\(20\) −506936. + 404268.i −3.16835 + 2.52668i
\(21\) −666.648 321.041i −0.00342783 0.00165076i
\(22\) −248606. + 516236.i −1.06126 + 2.20372i
\(23\) −185694. 232853.i −0.663571 0.832092i 0.330156 0.943926i \(-0.392899\pi\)
−0.993727 + 0.111835i \(0.964327\pi\)
\(24\) 337072. 422675.i 1.01596 1.27398i
\(25\) 857116. + 412765.i 2.19422 + 1.05668i
\(26\) −849272. + 193841.i −1.85846 + 0.424181i
\(27\) 561295. 128112.i 1.05618 0.241065i
\(28\) 5195.45 + 4143.23i 0.00845262 + 0.00674074i
\(29\) −275561. 572208.i −0.389606 0.809025i −0.999859 0.0168183i \(-0.994646\pi\)
0.610253 0.792207i \(-0.291068\pi\)
\(30\) −2.01030e6 458837.i −2.48185 0.566465i
\(31\) −757303. + 364698.i −0.820017 + 0.394899i −0.796362 0.604821i \(-0.793245\pi\)
−0.0236553 + 0.999720i \(0.507530\pi\)
\(32\) −596438. + 475644.i −0.568808 + 0.453609i
\(33\) −1.21896e6 + 278219.i −1.02786 + 0.234601i
\(34\) −2.11682e6 + 1.68811e6i −1.58405 + 1.26324i
\(35\) 3060.40 13408.5i 0.00203942 0.00893526i
\(36\) −1.49829e6 −0.892043
\(37\) 1.84091e6i 0.982259i −0.871087 0.491130i \(-0.836584\pi\)
0.871087 0.491130i \(-0.163416\pi\)
\(38\) 945258. 4.14144e6i 0.453331 1.98617i
\(39\) −1.48616e6 1.18517e6i −0.642401 0.512297i
\(40\) 9.05366e6 + 4.36001e6i 3.53658 + 1.70313i
\(41\) −517234. + 249087.i −0.183042 + 0.0881486i −0.523161 0.852234i \(-0.675247\pi\)
0.340118 + 0.940383i \(0.389533\pi\)
\(42\) 21132.8i 0.00679141i
\(43\) 2.80764e6 1.95074e6i 0.821234 0.570591i
\(44\) 1.12289e7 2.99591
\(45\) 1.34545e6 + 2.79385e6i 0.328107 + 0.681322i
\(46\) −3.69074e6 + 7.66390e6i −0.824294 + 1.71166i
\(47\) −1.00831e6 + 1.26438e6i −0.206634 + 0.259111i −0.874340 0.485314i \(-0.838705\pi\)
0.667705 + 0.744426i \(0.267277\pi\)
\(48\) −6.34722e6 1.44871e6i −1.19569 0.272908i
\(49\) 5.76466e6 0.999976
\(50\) 2.71707e7i 4.34731i
\(51\) −5.75997e6 1.31468e6i −0.851412 0.194329i
\(52\) 1.06440e7 + 1.33471e7i 1.45576 + 1.82547i
\(53\) 1.66900e6 + 7.31236e6i 0.211520 + 0.926732i 0.963534 + 0.267584i \(0.0862254\pi\)
−0.752014 + 0.659147i \(0.770917\pi\)
\(54\) −1.02522e7 1.28559e7i −1.20571 1.51192i
\(55\) −1.00835e7 2.09385e7i −1.10194 2.28821i
\(56\) 22916.9 100405.i 0.00233025 0.0102095i
\(57\) 8.35153e6 4.02189e6i 0.791165 0.381005i
\(58\) −1.13095e7 + 1.41817e7i −0.999384 + 1.25319i
\(59\) −2.18535e6 9.57464e6i −0.180349 0.790159i −0.981464 0.191648i \(-0.938617\pi\)
0.801115 0.598510i \(-0.204240\pi\)
\(60\) 8.99206e6 + 3.93968e7i 0.693832 + 3.03987i
\(61\) −6.88438e6 + 1.42956e7i −0.497216 + 1.03248i 0.489796 + 0.871837i \(0.337071\pi\)
−0.987013 + 0.160643i \(0.948643\pi\)
\(62\) 1.87691e7 + 1.49679e7i 1.27021 + 1.01296i
\(63\) 24847.1 19814.9i 0.00157730 0.00125785i
\(64\) −4.46362e6 2.14957e6i −0.266053 0.128124i
\(65\) 1.53301e7 3.18333e7i 0.858799 1.78332i
\(66\) 2.22646e7 + 2.79190e7i 1.17338 + 1.47138i
\(67\) −562858. + 705802.i −0.0279318 + 0.0350254i −0.795601 0.605821i \(-0.792845\pi\)
0.767669 + 0.640846i \(0.221416\pi\)
\(68\) 4.78059e7 + 2.30221e7i 2.23587 + 1.07674i
\(69\) −1.80963e7 + 4.13036e6i −0.798350 + 0.182218i
\(70\) −382957. + 87407.5i −0.0159499 + 0.00364046i
\(71\) −2.82767e7 2.25499e7i −1.11274 0.887383i −0.118333 0.992974i \(-0.537755\pi\)
−0.994410 + 0.105591i \(0.966326\pi\)
\(72\) 1.00750e7 + 2.09209e7i 0.374898 + 0.778484i
\(73\) 4.78764e6 + 1.09275e6i 0.168589 + 0.0384794i 0.305982 0.952037i \(-0.401015\pi\)
−0.137393 + 0.990517i \(0.543872\pi\)
\(74\) −4.73711e7 + 2.28127e7i −1.57974 + 0.760765i
\(75\) 4.63544e7 3.69664e7i 1.46503 1.16832i
\(76\) −8.11620e7 + 1.85247e7i −2.43275 + 0.555260i
\(77\) −186217. + 148503.i −0.00529732 + 0.00422447i
\(78\) −1.20807e7 + 5.29291e7i −0.326373 + 1.42993i
\(79\) 1.32541e6 0.0340284 0.0170142 0.999855i \(-0.494584\pi\)
0.0170142 + 0.999855i \(0.494584\pi\)
\(80\) 1.21013e8i 2.95441i
\(81\) 4.07622e6 1.78591e7i 0.0946930 0.414877i
\(82\) 1.28192e7 + 1.02230e7i 0.283535 + 0.226111i
\(83\) 1.95408e7 + 9.41034e6i 0.411746 + 0.198286i 0.628278 0.777989i \(-0.283760\pi\)
−0.216532 + 0.976276i \(0.569474\pi\)
\(84\) 373137. 179693.i 0.00749464 0.00360923i
\(85\) 1.09817e8i 2.10374i
\(86\) −8.49897e7 4.80736e7i −1.55372 0.878845i
\(87\) −3.95815e7 −0.690900
\(88\) −7.55069e7 1.56792e8i −1.25909 2.61452i
\(89\) −4.65973e7 + 9.67603e7i −0.742678 + 1.54219i 0.0946649 + 0.995509i \(0.469822\pi\)
−0.837343 + 0.546678i \(0.815892\pi\)
\(90\) 5.52195e7 6.92431e7i 0.841633 1.05537i
\(91\) −353032. 80577.3i −0.00514812 0.00117503i
\(92\) 1.66702e8 2.32696
\(93\) 5.23851e7i 0.700287i
\(94\) 4.50306e7 + 1.02779e7i 0.576762 + 0.131642i
\(95\) 1.07425e8 + 1.34707e8i 1.31890 + 1.65385i
\(96\) 1.05797e7 + 4.63525e7i 0.124562 + 0.545743i
\(97\) 9.37499e7 + 1.17559e8i 1.05897 + 1.32791i 0.942312 + 0.334735i \(0.108647\pi\)
0.116658 + 0.993172i \(0.462782\pi\)
\(98\) −7.14361e7 1.48339e8i −0.774486 1.60824i
\(99\) 1.19498e7 5.23557e7i 0.124400 0.545034i
\(100\) −4.79746e8 + 2.31034e8i −4.79746 + 2.31034i
\(101\) 2.98232e7 3.73971e7i 0.286595 0.359379i −0.617605 0.786489i \(-0.711897\pi\)
0.904200 + 0.427110i \(0.140468\pi\)
\(102\) 3.75482e7 + 1.64510e8i 0.346888 + 1.51981i
\(103\) 3.12333e6 + 1.36842e7i 0.0277503 + 0.121582i 0.986906 0.161297i \(-0.0515676\pi\)
−0.959156 + 0.282879i \(0.908711\pi\)
\(104\) 1.14795e8 2.38374e8i 0.981271 2.03763i
\(105\) −670144. 534422.i −0.00551329 0.00439670i
\(106\) 1.67482e8 1.33563e8i 1.32662 1.05794i
\(107\) −1.19591e8 5.75920e7i −0.912354 0.439367i −0.0820188 0.996631i \(-0.526137\pi\)
−0.830335 + 0.557264i \(0.811851\pi\)
\(108\) −1.39818e8 + 2.90336e8i −1.02771 + 2.13405i
\(109\) 4.70479e7 + 5.89961e7i 0.333299 + 0.417944i 0.920036 0.391834i \(-0.128159\pi\)
−0.586737 + 0.809777i \(0.699588\pi\)
\(110\) −4.13844e8 + 5.18943e8i −2.82661 + 3.54445i
\(111\) −1.03369e8 4.97799e7i −0.680924 0.327916i
\(112\) −1.20913e6 + 275977.i −0.00768425 + 0.00175388i
\(113\) 2.50511e8 5.71774e7i 1.53643 0.350680i 0.631205 0.775616i \(-0.282561\pi\)
0.905223 + 0.424936i \(0.139704\pi\)
\(114\) −2.06986e8 1.65066e8i −1.22552 0.977321i
\(115\) −1.49696e8 3.10848e8i −0.855894 1.77728i
\(116\) 3.46568e8 + 7.91019e7i 1.91406 + 0.436873i
\(117\) 7.35592e7 3.54243e7i 0.392549 0.189042i
\(118\) −2.19298e8 + 1.74884e8i −1.13111 + 0.902032i
\(119\) −1.09726e6 + 250443.i −0.00547171 + 0.00124888i
\(120\) 4.89638e8 3.90474e8i 2.36130 1.88307i
\(121\) −4.18589e7 + 1.83396e8i −0.195275 + 0.855556i
\(122\) 4.53171e8 2.04561
\(123\) 3.57788e7i 0.156317i
\(124\) 1.04689e8 4.58674e8i 0.442808 1.94007i
\(125\) 5.07825e8 + 4.04977e8i 2.08005 + 1.65879i
\(126\) −817793. 393828.i −0.00324460 0.00156252i
\(127\) 1.88196e8 9.06306e7i 0.723430 0.348385i −0.0356666 0.999364i \(-0.511355\pi\)
0.759096 + 0.650978i \(0.225641\pi\)
\(128\) 3.36793e8i 1.25465i
\(129\) −3.36149e7 2.10401e8i −0.121387 0.759783i
\(130\) −1.00912e9 −3.53321
\(131\) 1.24350e8 + 2.58216e8i 0.422242 + 0.876795i 0.998238 + 0.0593424i \(0.0189004\pi\)
−0.575995 + 0.817453i \(0.695385\pi\)
\(132\) 3.03641e8 6.30517e8i 1.00015 2.07683i
\(133\) 1.10097e6 1.38058e6i 0.00351860 0.00441218i
\(134\) 2.51370e7 + 5.73735e6i 0.0779639 + 0.0177948i
\(135\) 6.66941e8 2.00795
\(136\) 8.22329e8i 2.40375i
\(137\) −3.54679e8 8.09532e7i −1.00682 0.229801i −0.312851 0.949802i \(-0.601284\pi\)
−0.693973 + 0.720001i \(0.744141\pi\)
\(138\) 3.30535e8 + 4.14478e8i 0.911384 + 1.14284i
\(139\) −8.87189e6 3.88703e7i −0.0237660 0.104126i 0.961654 0.274266i \(-0.0884350\pi\)
−0.985420 + 0.170141i \(0.945578\pi\)
\(140\) 4.79963e6 + 6.01855e6i 0.0124938 + 0.0156668i
\(141\) 4.37307e7 + 9.08077e7i 0.110639 + 0.229745i
\(142\) −2.29856e8 + 1.00707e9i −0.565332 + 2.47688i
\(143\) −5.51290e8 + 2.65488e8i −1.31837 + 0.634892i
\(144\) 1.74348e8 2.18625e8i 0.405477 0.508452i
\(145\) −1.63713e8 7.17274e8i −0.370349 1.62261i
\(146\) −3.12098e7 1.36739e8i −0.0686878 0.300941i
\(147\) 1.55882e8 3.23692e8i 0.333830 0.693206i
\(148\) 8.05597e8 + 6.42442e8i 1.67908 + 1.33902i
\(149\) 5.72237e8 4.56344e8i 1.16100 0.925864i 0.162846 0.986652i \(-0.447933\pi\)
0.998151 + 0.0607878i \(0.0193613\pi\)
\(150\) −1.52566e9 7.34720e8i −3.01365 1.45130i
\(151\) −1.41426e8 + 2.93673e8i −0.272032 + 0.564881i −0.991570 0.129573i \(-0.958639\pi\)
0.719538 + 0.694453i \(0.244354\pi\)
\(152\) 8.04421e8 + 1.00871e9i 1.50699 + 1.88970i
\(153\) 1.58217e8 1.98398e8i 0.288727 0.362052i
\(154\) 6.12896e6 + 2.95155e6i 0.0108969 + 0.00524768i
\(155\) −9.49294e8 + 2.16670e8i −1.64465 + 0.375381i
\(156\) 1.03728e9 2.36752e8i 1.75145 0.399756i
\(157\) −2.12230e8 1.69248e8i −0.349307 0.278563i 0.433080 0.901356i \(-0.357427\pi\)
−0.782387 + 0.622792i \(0.785998\pi\)
\(158\) −1.64246e7 3.41060e7i −0.0263552 0.0547271i
\(159\) 4.55728e8 + 1.04017e8i 0.713045 + 0.162748i
\(160\) −7.96216e8 + 3.83437e8i −1.21493 + 0.585079i
\(161\) −2.76453e6 + 2.20464e6i −0.00411451 + 0.00328121i
\(162\) −5.10071e8 + 1.16420e8i −0.740577 + 0.169032i
\(163\) −7.46009e8 + 5.94922e8i −1.05680 + 0.842771i −0.987937 0.154855i \(-0.950509\pi\)
−0.0688645 + 0.997626i \(0.521938\pi\)
\(164\) 7.15023e7 3.13272e8i 0.0988427 0.433058i
\(165\) −1.44838e9 −1.95411
\(166\) 6.19445e8i 0.815775i
\(167\) 2.97615e8 1.30394e9i 0.382639 1.67645i −0.306539 0.951858i \(-0.599171\pi\)
0.689178 0.724592i \(-0.257972\pi\)
\(168\) −5.01817e6 4.00186e6i −0.00629953 0.00502371i
\(169\) −1.03192e8 4.96944e7i −0.126502 0.0609201i
\(170\) −2.82585e9 + 1.36086e9i −3.38340 + 1.62936i
\(171\) 3.98137e8i 0.465638i
\(172\) −1.26152e8 + 1.90941e9i −0.144139 + 2.18165i
\(173\) 1.37837e9 1.53880 0.769399 0.638769i \(-0.220556\pi\)
0.769399 + 0.638769i \(0.220556\pi\)
\(174\) 4.90497e8 + 1.01853e9i 0.535106 + 1.11116i
\(175\) 4.90052e6 1.01760e7i 0.00522504 0.0108499i
\(176\) −1.30665e9 + 1.63849e9i −1.36179 + 1.70763i
\(177\) −5.96720e8 1.36197e8i −0.607963 0.138764i
\(178\) 3.06731e9 3.05547
\(179\) 2.76802e8i 0.269623i −0.990871 0.134812i \(-0.956957\pi\)
0.990871 0.134812i \(-0.0430429\pi\)
\(180\) −1.69214e9 3.86220e8i −1.61193 0.367913i
\(181\) 1.78713e8 + 2.24099e8i 0.166511 + 0.208798i 0.858085 0.513507i \(-0.171654\pi\)
−0.691574 + 0.722305i \(0.743083\pi\)
\(182\) 2.30135e6 + 1.00829e7i 0.00209748 + 0.00918966i
\(183\) 6.16551e8 + 7.73130e8i 0.549749 + 0.689363i
\(184\) −1.12096e9 2.32769e9i −0.977951 2.03074i
\(185\) 4.74539e8 2.07909e9i 0.405122 1.77495i
\(186\) 1.34800e9 6.49160e8i 1.12625 0.542376i
\(187\) −1.18576e9 + 1.48690e9i −0.969684 + 1.21595i
\(188\) −2.01422e8 8.82488e8i −0.161241 0.706443i
\(189\) −1.52100e6 6.66392e6i −0.00119201 0.00522255i
\(190\) 2.13511e9 4.43361e9i 1.63835 3.40207i
\(191\) 9.19057e8 + 7.32924e8i 0.690572 + 0.550713i 0.904677 0.426098i \(-0.140112\pi\)
−0.214105 + 0.976811i \(0.568683\pi\)
\(192\) −2.41401e8 + 1.92511e8i −0.177637 + 0.141661i
\(193\) 2.93959e8 + 1.41563e8i 0.211864 + 0.102028i 0.536806 0.843706i \(-0.319631\pi\)
−0.324942 + 0.945734i \(0.605345\pi\)
\(194\) 1.86331e9 3.86921e9i 1.31546 2.73159i
\(195\) −1.37293e9 1.72160e9i −0.949534 1.19068i
\(196\) −2.01175e9 + 2.52266e9i −1.36317 + 1.70936i
\(197\) −3.90221e7 1.87921e7i −0.0259087 0.0124770i 0.420885 0.907114i \(-0.361720\pi\)
−0.446793 + 0.894637i \(0.647434\pi\)
\(198\) −1.49532e9 + 3.41298e8i −0.972913 + 0.222061i
\(199\) −2.07483e9 + 4.73566e8i −1.32303 + 0.301973i −0.824974 0.565171i \(-0.808810\pi\)
−0.498057 + 0.867144i \(0.665953\pi\)
\(200\) 6.45192e9 + 5.14523e9i 4.03245 + 3.21577i
\(201\) 2.44113e7 + 5.06906e7i 0.0149557 + 0.0310558i
\(202\) −1.33189e9 3.03995e8i −0.799950 0.182583i
\(203\) −6.79348e6 + 3.27157e6i −0.00400045 + 0.00192651i
\(204\) 2.58543e9 2.06181e9i 1.49284 1.19050i
\(205\) −6.48363e8 + 1.47985e8i −0.367116 + 0.0837918i
\(206\) 3.13423e8 2.49946e8i 0.174045 0.138796i
\(207\) 1.77404e8 7.77259e8i 0.0966236 0.423335i
\(208\) −3.18615e9 −1.70221
\(209\) 2.98384e9i 1.56383i
\(210\) −5.44749e6 + 2.38670e7i −0.00280104 + 0.0122722i
\(211\) 2.62585e9 + 2.09405e9i 1.32477 + 1.05647i 0.993607 + 0.112895i \(0.0360124\pi\)
0.331163 + 0.943574i \(0.392559\pi\)
\(212\) −3.78239e9 1.82150e9i −1.87250 0.901751i
\(213\) −2.03083e9 + 9.77994e8i −0.986630 + 0.475136i
\(214\) 3.79105e9i 1.80761i
\(215\) 3.67374e9 1.47939e9i 1.71931 0.692357i
\(216\) 4.99419e9 2.29430
\(217\) 4.32984e6 + 8.99100e6i 0.00195269 + 0.00405480i
\(218\) 9.35093e8 1.94174e9i 0.414027 0.859736i
\(219\) 1.90821e8 2.39282e8i 0.0829565 0.104024i
\(220\) 1.26818e10 + 2.89453e9i 5.41364 + 1.23563i
\(221\) −2.89137e9 −1.21209
\(222\) 3.27681e9i 1.34909i
\(223\) −2.58075e9 5.89039e8i −1.04358 0.238190i −0.333823 0.942636i \(-0.608339\pi\)
−0.709758 + 0.704445i \(0.751196\pi\)
\(224\) 5.64703e6 + 7.08116e6i 0.00224299 + 0.00281263i
\(225\) 5.66663e8 + 2.48271e9i 0.221103 + 0.968716i
\(226\) −4.57566e9 5.73770e9i −1.75396 2.19940i
\(227\) 1.20943e9 + 2.51141e9i 0.455489 + 0.945833i 0.994618 + 0.103610i \(0.0330394\pi\)
−0.539129 + 0.842223i \(0.681246\pi\)
\(228\) −1.15451e9 + 5.05825e9i −0.427228 + 1.87181i
\(229\) −9.25021e8 + 4.45467e8i −0.336364 + 0.161984i −0.594439 0.804140i \(-0.702626\pi\)
0.258075 + 0.966125i \(0.416912\pi\)
\(230\) −6.14382e9 + 7.70410e9i −2.19547 + 2.75303i
\(231\) 3.30312e6 + 1.44719e7i 0.00116005 + 0.00508251i
\(232\) −1.22592e9 5.37109e9i −0.423164 1.85400i
\(233\) −2.21683e9 + 4.60329e9i −0.752157 + 1.56187i 0.0732375 + 0.997315i \(0.476667\pi\)
−0.825395 + 0.564556i \(0.809047\pi\)
\(234\) −1.82310e9 1.45388e9i −0.608062 0.484913i
\(235\) −1.46469e9 + 1.16805e9i −0.480258 + 0.382993i
\(236\) 4.95258e9 + 2.38504e9i 1.59655 + 0.768860i
\(237\) 3.58403e7 7.44231e7i 0.0113600 0.0235893i
\(238\) 2.00419e7 + 2.51317e7i 0.00624641 + 0.00783276i
\(239\) 2.20635e8 2.76667e8i 0.0676212 0.0847943i −0.746871 0.664970i \(-0.768445\pi\)
0.814492 + 0.580175i \(0.197016\pi\)
\(240\) −6.79499e9 3.27230e9i −2.04807 0.986297i
\(241\) 1.23438e9 2.81740e8i 0.365916 0.0835180i −0.0356094 0.999366i \(-0.511337\pi\)
0.401526 + 0.915848i \(0.368480\pi\)
\(242\) 5.23794e9 1.19553e9i 1.52721 0.348576i
\(243\) 2.06068e9 + 1.64334e9i 0.590997 + 0.471305i
\(244\) −3.85333e9 8.00153e9i −1.08712 2.25743i
\(245\) 6.51051e9 + 1.48598e9i 1.80697 + 0.412429i
\(246\) 9.20674e8 4.43373e8i 0.251400 0.121068i
\(247\) 3.54670e9 2.82840e9i 0.952878 0.759894i
\(248\) −7.10850e9 + 1.62247e9i −1.87919 + 0.428913i
\(249\) 1.05680e9 8.42770e8i 0.274913 0.219236i
\(250\) 4.12803e9 1.80861e10i 1.05678 4.63003i
\(251\) −2.98924e9 −0.753124 −0.376562 0.926392i \(-0.622894\pi\)
−0.376562 + 0.926392i \(0.622894\pi\)
\(252\) 1.77883e7i 0.00441095i
\(253\) −1.32956e9 + 5.82518e9i −0.324508 + 1.42176i
\(254\) −4.66429e9 3.71965e9i −1.12060 0.893649i
\(255\) −6.16632e9 2.96954e9i −1.45836 0.702310i
\(256\) 7.52381e9 3.62328e9i 1.75177 0.843610i
\(257\) 5.79772e9i 1.32900i 0.747289 + 0.664500i \(0.231355\pi\)
−0.747289 + 0.664500i \(0.768645\pi\)
\(258\) −4.99758e9 + 3.47230e9i −1.12793 + 0.783680i
\(259\) −2.18560e7 −0.00485705
\(260\) 8.58058e9 + 1.78178e10i 1.87769 + 3.89906i
\(261\) 7.37635e8 1.53172e9i 0.158957 0.330078i
\(262\) 5.10357e9 6.39967e9i 1.08310 1.35816i
\(263\) −3.60736e9 8.23356e8i −0.753991 0.172094i −0.171785 0.985135i \(-0.554953\pi\)
−0.582207 + 0.813041i \(0.697811\pi\)
\(264\) −1.08458e10 −2.23278
\(265\) 8.68867e9i 1.76185i
\(266\) −4.91689e7 1.12225e7i −0.00982118 0.00224162i
\(267\) 4.17316e9 + 5.23297e9i 0.821144 + 1.02968i
\(268\) −1.12438e8 4.92622e8i −0.0217958 0.0954936i
\(269\) 2.87092e9 + 3.60002e9i 0.548292 + 0.687536i 0.976345 0.216217i \(-0.0693719\pi\)
−0.428053 + 0.903753i \(0.640801\pi\)
\(270\) −8.26479e9 1.71620e10i −1.55517 3.22933i
\(271\) −1.36322e9 + 5.97267e9i −0.252749 + 1.10737i 0.676072 + 0.736836i \(0.263681\pi\)
−0.928821 + 0.370530i \(0.879176\pi\)
\(272\) −8.92221e9 + 4.29671e9i −1.63003 + 0.784983i
\(273\) −1.40708e7 + 1.76442e7i −0.00253319 + 0.00317653i
\(274\) 2.31209e9 + 1.01299e10i 0.410206 + 1.79723i
\(275\) −4.24686e9 1.86067e10i −0.742570 3.25341i
\(276\) 4.50778e9 9.36050e9i 0.776830 1.61310i
\(277\) 1.68930e9 + 1.34717e9i 0.286937 + 0.228825i 0.756371 0.654143i \(-0.226970\pi\)
−0.469434 + 0.882968i \(0.655542\pi\)
\(278\) −8.90285e8 + 7.09979e8i −0.149056 + 0.118868i
\(279\) −2.02719e9 9.76241e8i −0.334562 0.161117i
\(280\) 5.17638e7 1.07489e8i 0.00842159 0.0174876i
\(281\) −2.27611e9 2.85415e9i −0.365063 0.457775i 0.565045 0.825060i \(-0.308859\pi\)
−0.930108 + 0.367285i \(0.880287\pi\)
\(282\) 1.79479e9 2.25059e9i 0.283803 0.355877i
\(283\) −2.84245e9 1.36885e9i −0.443146 0.213408i 0.198985 0.980003i \(-0.436235\pi\)
−0.642132 + 0.766594i \(0.721950\pi\)
\(284\) 1.97360e10 4.50461e9i 3.03379 0.692443i
\(285\) 1.04688e10 2.38944e9i 1.58678 0.362173i
\(286\) 1.36633e10 + 1.08961e10i 2.04216 + 1.62857i
\(287\) 2.95726e6 + 6.14081e6i 0.000435875 + 0.000905103i
\(288\) −1.99090e9 4.54410e8i −0.289387 0.0660507i
\(289\) −1.81179e9 + 8.72510e8i −0.259726 + 0.125077i
\(290\) −1.64285e10 + 1.31013e10i −2.32276 + 1.85234i
\(291\) 9.13612e9 2.08526e9i 1.27406 0.290796i
\(292\) −2.14899e9 + 1.71376e9i −0.295599 + 0.235732i
\(293\) −1.23262e9 + 5.40047e9i −0.167247 + 0.732759i 0.819842 + 0.572590i \(0.194061\pi\)
−0.987090 + 0.160169i \(0.948796\pi\)
\(294\) −1.02611e10 −1.37342
\(295\) 1.13768e10i 1.50221i
\(296\) 3.55344e9 1.55687e10i 0.462895 2.02808i
\(297\) −9.03024e9 7.20138e9i −1.16058 0.925529i
\(298\) −1.88340e10 9.06999e9i −2.38824 1.15012i
\(299\) −8.18432e9 + 3.94136e9i −1.02399 + 0.493130i
\(300\) 3.31856e10i 4.09699i
\(301\) −2.31599e7 3.33334e7i −0.00282145 0.00406082i
\(302\) 9.30949e9 1.11917
\(303\) −1.29344e9 2.68586e9i −0.153453 0.318649i
\(304\) 6.74132e9 1.39985e10i 0.789315 1.63903i
\(305\) −1.14601e10 + 1.43705e10i −1.32431 + 1.66063i
\(306\) −7.06590e9 1.61274e9i −0.805901 0.183942i
\(307\) 9.35578e9 1.05324 0.526619 0.850102i \(-0.323460\pi\)
0.526619 + 0.850102i \(0.323460\pi\)
\(308\) 1.33315e8i 0.0148141i
\(309\) 8.52839e8 + 1.94655e8i 0.0935477 + 0.0213516i
\(310\) 1.73392e10 + 2.17426e10i 1.87751 + 2.35432i
\(311\) −1.38522e9 6.06904e9i −0.148073 0.648751i −0.993419 0.114533i \(-0.963463\pi\)
0.845346 0.534219i \(-0.179394\pi\)
\(312\) −1.02808e10 1.28917e10i −1.08495 1.36048i
\(313\) −5.82269e9 1.20909e10i −0.606662 1.25975i −0.947540 0.319639i \(-0.896439\pi\)
0.340878 0.940108i \(-0.389276\pi\)
\(314\) −1.72518e9 + 7.55852e9i −0.177467 + 0.777532i
\(315\) 3.31697e7 1.59737e7i 0.00336898 0.00162242i
\(316\) −4.62542e8 + 5.80009e8i −0.0463877 + 0.0581683i
\(317\) 4.18994e9 + 1.83573e10i 0.414926 + 1.81791i 0.560003 + 0.828490i \(0.310800\pi\)
−0.145077 + 0.989420i \(0.546343\pi\)
\(318\) −2.97081e9 1.30160e10i −0.290513 1.27282i
\(319\) −5.52822e9 + 1.14795e10i −0.533854 + 1.10856i
\(320\) −4.48703e9 3.57829e9i −0.427917 0.341252i
\(321\) −6.46770e9 + 5.15782e9i −0.609158 + 0.485787i
\(322\) 9.09889e7 + 4.38180e7i 0.00846379 + 0.00407595i
\(323\) 6.11761e9 1.27033e10i 0.562046 1.16710i
\(324\) 6.39275e9 + 8.01626e9i 0.580107 + 0.727431i
\(325\) 1.80910e10 2.26854e10i 1.62155 2.03335i
\(326\) 2.45534e10 + 1.18243e10i 2.17391 + 1.04690i
\(327\) 4.58491e9 1.04648e9i 0.400996 0.0915247i
\(328\) −4.85507e9 + 1.10814e9i −0.419469 + 0.0957411i
\(329\) 1.50112e7 + 1.19711e7i 0.00128125 + 0.00102176i
\(330\) 1.79485e10 + 3.72704e10i 1.51347 + 3.14274i
\(331\) 1.52792e10 + 3.48737e9i 1.27288 + 0.290527i 0.805005 0.593268i \(-0.202162\pi\)
0.467875 + 0.883794i \(0.345020\pi\)
\(332\) −1.09374e10 + 5.26716e9i −0.900246 + 0.433535i
\(333\) 3.85274e9 3.07246e9i 0.313324 0.249867i
\(334\) −3.72415e10 + 8.50014e9i −2.99255 + 0.683030i
\(335\) −8.17619e8 + 6.52030e8i −0.0649190 + 0.0517712i
\(336\) −1.71997e7 + 7.53567e7i −0.00134947 + 0.00591241i
\(337\) −5.59879e9 −0.434085 −0.217042 0.976162i \(-0.569641\pi\)
−0.217042 + 0.976162i \(0.569641\pi\)
\(338\) 3.27118e9i 0.250633i
\(339\) 3.56346e9 1.56126e10i 0.269820 1.18216i
\(340\) 4.80566e10 + 3.83239e10i 3.59615 + 2.86783i
\(341\) 1.51928e10 + 7.31645e9i 1.12362 + 0.541107i
\(342\) 1.02450e10 4.93375e9i 0.748874 0.360639i
\(343\) 1.36882e8i 0.00988943i
\(344\) 2.75097e10 1.10780e10i 1.96450 0.791092i
\(345\) −2.15024e10 −1.51778
\(346\) −1.70809e10 3.54688e10i −1.19181 2.47481i
\(347\) 3.93327e9 8.16753e9i 0.271292 0.563343i −0.720162 0.693806i \(-0.755932\pi\)
0.991453 + 0.130464i \(0.0416466\pi\)
\(348\) 1.38132e10 1.73212e10i 0.941838 1.18103i
\(349\) −5.05128e9 1.15292e9i −0.340486 0.0777138i 0.0488588 0.998806i \(-0.484442\pi\)
−0.389345 + 0.921092i \(0.627299\pi\)
\(350\) −3.22581e8 −0.0214965
\(351\) 1.75599e10i 1.15689i
\(352\) 1.49208e10 + 3.40558e9i 0.971900 + 0.221830i
\(353\) −3.02606e9 3.79456e9i −0.194885 0.244378i 0.674782 0.738017i \(-0.264238\pi\)
−0.869667 + 0.493639i \(0.835666\pi\)
\(354\) 3.88991e9 + 1.70428e10i 0.247700 + 1.08525i
\(355\) −2.61224e10 3.27564e10i −1.64475 2.06245i
\(356\) −2.60815e10 5.41588e10i −1.62380 3.37185i
\(357\) −1.56084e7 + 6.83847e7i −0.000960914 + 0.00421004i
\(358\) −7.12279e9 + 3.43015e9i −0.433629 + 0.208825i
\(359\) 1.37106e10 1.71925e10i 0.825427 1.03505i −0.173313 0.984867i \(-0.555447\pi\)
0.998740 0.0501857i \(-0.0159813\pi\)
\(360\) 5.98562e9 + 2.62247e10i 0.356368 + 1.56135i
\(361\) 1.14333e9 + 5.00924e9i 0.0673196 + 0.294946i
\(362\) 3.55199e9 7.37578e9i 0.206841 0.429510i
\(363\) 9.16597e9 + 7.30962e9i 0.527900 + 0.420987i
\(364\) 1.58463e8 1.26370e8i 0.00902653 0.00719842i
\(365\) 5.12540e9 + 2.46826e9i 0.288773 + 0.139066i
\(366\) 1.22542e10 2.54460e10i 0.682903 1.41806i
\(367\) −3.78745e9 4.74931e9i −0.208777 0.261798i 0.666407 0.745588i \(-0.267831\pi\)
−0.875184 + 0.483790i \(0.839260\pi\)
\(368\) −1.93982e10 + 2.43246e10i −1.05772 + 1.32634i
\(369\) −1.38456e9 6.66768e8i −0.0746803 0.0359641i
\(370\) −5.93806e10 + 1.35532e10i −3.16838 + 0.723163i
\(371\) 8.68152e7 1.98150e7i 0.00458248 0.00104592i
\(372\) −2.29241e10 1.82814e10i −1.19707 0.954634i
\(373\) 8.80876e9 + 1.82916e10i 0.455071 + 0.944965i 0.994676 + 0.103047i \(0.0328592\pi\)
−0.539605 + 0.841918i \(0.681426\pi\)
\(374\) 5.29554e10 + 1.20867e10i 2.70660 + 0.617764i
\(375\) 3.64719e10 1.75640e10i 1.84431 0.888172i
\(376\) −1.09679e10 + 8.74661e9i −0.548747 + 0.437611i
\(377\) −1.88851e10 + 4.31041e9i −0.934877 + 0.213380i
\(378\) −1.52631e8 + 1.21719e8i −0.00747609 + 0.00596198i
\(379\) −7.18420e9 + 3.14760e10i −0.348194 + 1.52554i 0.433083 + 0.901354i \(0.357426\pi\)
−0.781277 + 0.624184i \(0.785432\pi\)
\(380\) −9.64381e10 −4.62503
\(381\) 1.30182e10i 0.617802i
\(382\) 7.47087e9 3.27320e10i 0.350847 1.53716i
\(383\) −9.87359e9 7.87392e9i −0.458860 0.365928i 0.366610 0.930375i \(-0.380518\pi\)
−0.825470 + 0.564446i \(0.809090\pi\)
\(384\) 1.89113e10 + 9.10719e9i 0.869753 + 0.418851i
\(385\) −2.48590e8 + 1.19715e8i −0.0113147 + 0.00544885i
\(386\) 9.31853e9i 0.419757i
\(387\) 8.76851e9 + 2.62019e9i 0.390915 + 0.116812i
\(388\) −8.41614e10 −3.71352
\(389\) 1.02655e10 + 2.13165e10i 0.448312 + 0.930930i 0.995575 + 0.0939694i \(0.0299556\pi\)
−0.547263 + 0.836961i \(0.684330\pi\)
\(390\) −2.72875e10 + 5.66631e10i −1.17952 + 2.44930i
\(391\) −1.76035e10 + 2.20741e10i −0.753168 + 0.944442i
\(392\) 4.87519e10 + 1.11273e10i 2.06466 + 0.471244i
\(393\) 1.78617e10 0.748775
\(394\) 1.23701e9i 0.0513319i
\(395\) 1.49689e9 + 3.41656e8i 0.0614898 + 0.0140346i
\(396\) 1.87410e10 + 2.35005e10i 0.762100 + 0.955643i
\(397\) 1.76911e9 + 7.75100e9i 0.0712187 + 0.312029i 0.997973 0.0636385i \(-0.0202705\pi\)
−0.926754 + 0.375668i \(0.877413\pi\)
\(398\) 3.78974e10 + 4.75219e10i 1.51035 + 1.89392i
\(399\) −4.77495e7 9.91528e7i −0.00188398 0.00391213i
\(400\) 2.21138e10 9.68869e10i 0.863821 3.78465i
\(401\) 1.44269e10 6.94763e9i 0.557950 0.268695i −0.133585 0.991037i \(-0.542649\pi\)
0.691535 + 0.722343i \(0.256935\pi\)
\(402\) 1.00188e9 1.25632e9i 0.0383631 0.0481058i
\(403\) 5.70471e9 + 2.49940e10i 0.216279 + 0.947579i
\(404\) 5.95755e9 + 2.61017e10i 0.223636 + 0.979815i
\(405\) 9.20723e9 1.91190e10i 0.342223 0.710633i
\(406\) 1.68371e8 + 1.34271e8i 0.00619673 + 0.00494173i
\(407\) −2.88744e10 + 2.30266e10i −1.05229 + 0.839174i
\(408\) −4.61746e10 2.22365e10i −1.66634 0.802465i
\(409\) −1.58180e10 + 3.28465e10i −0.565274 + 1.17380i 0.400950 + 0.916100i \(0.368680\pi\)
−0.966224 + 0.257704i \(0.917034\pi\)
\(410\) 1.18426e10 + 1.48501e10i 0.419093 + 0.525526i
\(411\) −1.41365e10 + 1.77265e10i −0.495420 + 0.621236i
\(412\) −7.07828e9 3.40872e9i −0.245663 0.118305i
\(413\) −1.13674e8 + 2.59453e7i −0.00390716 + 0.000891783i
\(414\) −2.21992e10 + 5.06682e9i −0.755676 + 0.172478i
\(415\) 1.96433e10 + 1.56650e10i 0.662249 + 0.528126i
\(416\) 1.00955e10 + 2.09636e10i 0.337098 + 0.699991i
\(417\) −2.42251e9 5.52922e8i −0.0801164 0.0182860i
\(418\) −7.67815e10 + 3.69760e10i −2.51508 + 1.21120i
\(419\) 3.30313e9 2.63416e9i 0.107169 0.0854646i −0.568439 0.822725i \(-0.692453\pi\)
0.675608 + 0.737261i \(0.263881\pi\)
\(420\) 4.67734e8 1.06757e8i 0.0150315 0.00343084i
\(421\) 3.77951e10 3.01406e10i 1.20312 0.959452i 0.203308 0.979115i \(-0.434831\pi\)
0.999807 + 0.0196625i \(0.00625918\pi\)
\(422\) 2.13451e10 9.35191e10i 0.673053 2.94884i
\(423\) −4.32901e9 −0.135216
\(424\) 6.50625e10i 2.01311i
\(425\) 2.00678e10 8.79230e10i 0.615099 2.69492i
\(426\) 5.03323e10 + 4.01387e10i 1.52830 + 1.21878i
\(427\) 1.69723e8 + 8.17341e7i 0.00510538 + 0.00245862i
\(428\) 6.69376e10 3.22355e10i 1.99478 0.960636i
\(429\) 3.81346e10i 1.12587i
\(430\) −8.35937e10 7.62016e10i −2.44512 2.22890i
\(431\) −2.84538e9 −0.0824576 −0.0412288 0.999150i \(-0.513127\pi\)
−0.0412288 + 0.999150i \(0.513127\pi\)
\(432\) −2.60949e10 5.41865e10i −0.749238 1.55581i
\(433\) 2.57223e8 5.34128e8i 0.00731741 0.0151948i −0.897278 0.441466i \(-0.854459\pi\)
0.904596 + 0.426271i \(0.140173\pi\)
\(434\) 1.77705e8 2.22834e8i 0.00500887 0.00628092i
\(435\) −4.47027e10 1.02031e10i −1.24846 0.284954i
\(436\) −4.22359e10 −1.16879
\(437\) 4.42974e10i 1.21465i
\(438\) −8.52198e9 1.94509e9i −0.231550 0.0528497i
\(439\) −3.92800e9 4.92556e9i −0.105758 0.132616i 0.726136 0.687552i \(-0.241314\pi\)
−0.831894 + 0.554935i \(0.812743\pi\)
\(440\) −4.48593e10 1.96541e11i −1.19686 5.24377i
\(441\) 9.62115e9 + 1.20645e10i 0.254374 + 0.318975i
\(442\) 3.58300e10 + 7.44018e10i 0.938768 + 1.94937i
\(443\) 5.54022e9 2.42733e10i 0.143851 0.630252i −0.850669 0.525702i \(-0.823803\pi\)
0.994520 0.104550i \(-0.0333401\pi\)
\(444\) 5.78579e10 2.78629e10i 1.48878 0.716959i
\(445\) −7.75685e10 + 9.72678e10i −1.97809 + 2.48044i
\(446\) 1.68234e10 + 7.37083e10i 0.425182 + 1.86285i
\(447\) −1.01504e10 4.44717e10i −0.254244 1.11392i
\(448\) −2.55205e7 + 5.29939e7i −0.000633545 + 0.00131557i
\(449\) 1.60719e10 + 1.28169e10i 0.395440 + 0.315353i 0.800943 0.598741i \(-0.204332\pi\)
−0.405502 + 0.914094i \(0.632903\pi\)
\(450\) 5.68641e10 4.53476e10i 1.38672 1.10587i
\(451\) 1.03766e10 + 4.99710e9i 0.250812 + 0.120785i
\(452\) −6.24020e10 + 1.29579e11i −1.49501 + 3.10443i
\(453\) 1.26658e10 + 1.58824e10i 0.300773 + 0.377158i
\(454\) 4.96373e10 6.22433e10i 1.16838 1.46511i
\(455\) −3.77938e8 1.82005e8i −0.00881809 0.00424657i
\(456\) 7.83925e10 1.78926e10i 1.81307 0.413822i
\(457\) 3.98661e10 9.09918e9i 0.913985 0.208611i 0.260432 0.965492i \(-0.416135\pi\)
0.653553 + 0.756881i \(0.273278\pi\)
\(458\) 2.29259e10 + 1.82828e10i 0.521031 + 0.415509i
\(459\) −2.36806e10 4.91732e10i −0.533509 1.10784i
\(460\) 1.88270e11 + 4.29715e10i 4.20485 + 0.959730i
\(461\) 3.30482e10 1.59152e10i 0.731718 0.352377i −0.0306414 0.999530i \(-0.509755\pi\)
0.762360 + 0.647153i \(0.224041\pi\)
\(462\) 3.31465e8 2.64335e8i 0.00727562 0.00580211i
\(463\) 2.51775e10 5.74660e9i 0.547884 0.125051i 0.0603863 0.998175i \(-0.480767\pi\)
0.487498 + 0.873124i \(0.337910\pi\)
\(464\) −5.18705e10 + 4.13653e10i −1.11905 + 0.892410i
\(465\) −1.35035e10 + 5.91628e10i −0.288825 + 1.26543i
\(466\) 1.45925e11 3.09447
\(467\) 4.67063e10i 0.981993i −0.871162 0.490996i \(-0.836633\pi\)
0.871162 0.490996i \(-0.163367\pi\)
\(468\) −1.01688e10 + 4.45524e10i −0.211976 + 0.928727i
\(469\) 8.37956e6 + 6.68247e6i 0.000173193 + 0.000138117i
\(470\) 4.82074e10 + 2.32155e10i 0.987921 + 0.475758i
\(471\) −1.52423e10 + 7.34031e9i −0.309719 + 0.149153i
\(472\) 8.51914e10i 1.71644i
\(473\) −6.57157e10 1.96370e10i −1.31288 0.392312i
\(474\) −2.35922e9 −0.0467364
\(475\) 6.13920e10 + 1.27482e11i 1.20597 + 2.50423i
\(476\) 2.73328e8 5.67570e8i 0.00532422 0.0110558i
\(477\) −1.25181e10 + 1.56972e10i −0.241805 + 0.303214i
\(478\) −9.85345e9 2.24899e9i −0.188746 0.0430799i
\(479\) 5.43975e9 0.103333 0.0516663 0.998664i \(-0.483547\pi\)
0.0516663 + 0.998664i \(0.483547\pi\)
\(480\) 5.50768e10i 1.03754i
\(481\) −5.47405e10 1.24942e10i −1.02265 0.233414i
\(482\) −2.25464e10 2.82723e10i −0.417724 0.523809i
\(483\) 4.90373e7 + 2.14847e8i 0.000901028 + 0.00394766i
\(484\) −6.56475e10 8.23194e10i −1.19629 1.50010i
\(485\) 7.55759e10 + 1.56935e11i 1.36589 + 2.83630i
\(486\) 1.67509e10 7.33907e10i 0.300258 1.31552i
\(487\) 1.16690e10 5.61952e9i 0.207453 0.0999040i −0.327272 0.944930i \(-0.606129\pi\)
0.534725 + 0.845026i \(0.320415\pi\)
\(488\) −8.58156e10 + 1.07609e11i −1.51317 + 1.89745i
\(489\) 1.32327e10 + 5.79764e10i 0.231427 + 1.01395i
\(490\) −4.24408e10 1.85945e11i −0.736206 3.22553i
\(491\) −5.39803e9 + 1.12091e10i −0.0928772 + 0.192861i −0.942232 0.334961i \(-0.891277\pi\)
0.849355 + 0.527822i \(0.176991\pi\)
\(492\) −1.56571e10 1.24861e10i −0.267208 0.213091i
\(493\) −4.70714e10 + 3.75382e10i −0.796837 + 0.635456i
\(494\) −1.16733e11 5.62155e10i −1.96013 0.943948i
\(495\) 2.69919e10 5.60493e10i 0.449586 0.933575i
\(496\) 5.47459e10 + 6.86492e10i 0.904535 + 1.13425i
\(497\) −2.67721e8 + 3.35712e8i −0.00438791 + 0.00550226i
\(498\) −3.47825e10 1.67504e10i −0.565514 0.272337i
\(499\) −9.51185e10 + 2.17102e10i −1.53413 + 0.350156i −0.904410 0.426665i \(-0.859688\pi\)
−0.629722 + 0.776820i \(0.716831\pi\)
\(500\) −3.54442e11 + 8.08990e10i −5.67107 + 1.29438i
\(501\) −6.51696e10 5.19711e10i −1.03441 0.824918i
\(502\) 3.70429e10 + 7.69204e10i 0.583298 + 1.21123i
\(503\) −2.71858e10 6.20499e9i −0.424689 0.0969325i 0.00483429 0.999988i \(-0.498461\pi\)
−0.429523 + 0.903056i \(0.641318\pi\)
\(504\) 2.48381e8 1.19614e8i 0.00384943 0.00185379i
\(505\) 4.33218e10 3.45480e10i 0.666103 0.531199i
\(506\) 1.66372e11 3.79733e10i 2.53792 0.579264i
\(507\) −5.58079e9 + 4.45053e9i −0.0844624 + 0.0673565i
\(508\) −2.60162e10 + 1.13984e11i −0.390651 + 1.71155i
\(509\) −2.57035e10 −0.382931 −0.191466 0.981499i \(-0.561324\pi\)
−0.191466 + 0.981499i \(0.561324\pi\)
\(510\) 1.95473e11i 2.88939i
\(511\) 1.29735e7 5.68408e7i 0.000190272 0.000833637i
\(512\) −1.19063e11 9.49493e10i −1.73259 1.38169i
\(513\) 7.71502e10 + 3.71536e10i 1.11396 + 0.536453i
\(514\) 1.49189e11 7.18458e10i 2.13740 1.02932i
\(515\) 1.62598e10i 0.231146i
\(516\) 1.03804e11 + 5.87158e10i 1.46425 + 0.828240i
\(517\) 3.24438e10 0.454119
\(518\) 2.70842e8 + 5.62409e8i 0.00376181 + 0.00781148i
\(519\) 3.72724e10 7.73969e10i 0.513710 1.06673i
\(520\) 1.91094e11 2.39624e11i 2.61357 3.27731i
\(521\) −1.42257e11 3.24691e10i −1.93073 0.440676i −0.996456 0.0841173i \(-0.973193\pi\)
−0.934273 0.356559i \(-0.883950\pi\)
\(522\) −4.85556e10 −0.653969
\(523\) 7.26119e10i 0.970513i −0.874372 0.485256i \(-0.838726\pi\)
0.874372 0.485256i \(-0.161274\pi\)
\(524\) −1.56393e11 3.56957e10i −2.07440 0.473468i
\(525\) −4.38880e8 5.50338e8i −0.00577708 0.00724423i
\(526\) 2.35157e10 + 1.03029e11i 0.307196 + 1.34591i
\(527\) 4.96808e10 + 6.22978e10i 0.644090 + 0.807663i
\(528\) 5.66698e10 + 1.17676e11i 0.729148 + 1.51409i
\(529\) −2.31247e9 + 1.01316e10i −0.0295293 + 0.129376i
\(530\) 2.23581e11 1.07671e11i 2.83355 1.36457i
\(531\) 1.63909e10 2.05536e10i 0.206170 0.258529i
\(532\) 2.19933e8 + 9.63588e8i 0.00274564 + 0.0120294i
\(533\) 3.89629e9 + 1.70708e10i 0.0482773 + 0.211517i
\(534\) 8.29430e10 1.72233e11i 1.02003 2.11812i
\(535\) −1.20218e11 9.58709e10i −1.46742 1.17023i
\(536\) −6.12249e9 + 4.88253e9i −0.0741770 + 0.0591542i
\(537\) −1.55427e10 7.48498e9i −0.186909 0.0900106i
\(538\) 5.70605e10 1.18487e11i 0.681093 1.41430i
\(539\) −7.21059e10 9.04179e10i −0.854310 1.07127i
\(540\) −2.32749e11 + 2.91858e11i −2.73724 + 3.43239i
\(541\) 1.96401e10 + 9.45817e9i 0.229274 + 0.110412i 0.544994 0.838440i \(-0.316532\pi\)
−0.315720 + 0.948852i \(0.602246\pi\)
\(542\) 1.70584e11 3.89348e10i 1.97671 0.451170i
\(543\) 1.74160e10 3.97508e9i 0.200331 0.0457243i
\(544\) 5.65413e10 + 4.50901e10i 0.645609 + 0.514856i
\(545\) 3.79273e10 + 7.87569e10i 0.429899 + 0.892694i
\(546\) 6.28396e8 + 1.43427e8i 0.00707070 + 0.00161384i
\(547\) −1.29554e11 + 6.23900e10i −1.44711 + 0.696893i −0.982091 0.188407i \(-0.939668\pi\)
−0.465021 + 0.885299i \(0.653953\pi\)
\(548\) 1.59202e11 1.26959e11i 1.76533 1.40780i
\(549\) −4.14084e10 + 9.45119e9i −0.455825 + 0.104039i
\(550\) −4.26169e11 + 3.39858e11i −4.65726 + 3.71404i
\(551\) 2.10196e10 9.20927e10i 0.228043 0.999123i
\(552\) −1.61014e11 −1.73423
\(553\) 1.57358e7i 0.000168263i
\(554\) 1.37320e10 6.01639e10i 0.145779 0.638700i
\(555\) −1.03911e11 8.28665e10i −1.09519 0.873387i
\(556\) 2.01060e10 + 9.68256e9i 0.210391 + 0.101319i
\(557\) 1.24063e11 5.97454e10i 1.28890 0.620703i 0.341240 0.939976i \(-0.389153\pi\)
0.947663 + 0.319273i \(0.103439\pi\)
\(558\) 6.42621e10i 0.662854i
\(559\) −3.89510e10 9.67261e10i −0.398907 0.990596i
\(560\) −1.43671e9 −0.0146089
\(561\) 5.14267e10 + 1.06789e11i 0.519203 + 1.07814i
\(562\) −4.52385e10 + 9.39388e10i −0.453485 + 0.941672i
\(563\) −6.19908e10 + 7.77340e10i −0.617012 + 0.773709i −0.987921 0.154961i \(-0.950475\pi\)
0.370908 + 0.928669i \(0.379046\pi\)
\(564\) −5.49993e10 1.25532e10i −0.543551 0.124062i
\(565\) 2.97661e11 2.92098
\(566\) 9.01061e10i 0.877987i
\(567\) −2.12030e8 4.83945e7i −0.00205147 0.000468235i
\(568\) −1.95610e11 2.45287e11i −1.87930 2.35657i
\(569\) −3.24670e9 1.42247e10i −0.0309737 0.135705i 0.957077 0.289834i \(-0.0936000\pi\)
−0.988051 + 0.154129i \(0.950743\pi\)
\(570\) −1.91216e11 2.39778e11i −1.81145 2.27148i
\(571\) 7.13617e10 + 1.48184e11i 0.671306 + 1.39398i 0.906572 + 0.422051i \(0.138690\pi\)
−0.235266 + 0.971931i \(0.575596\pi\)
\(572\) 7.62102e10 3.33899e11i 0.711917 3.11911i
\(573\) 6.60066e10 3.17871e10i 0.612306 0.294871i
\(574\) 1.21371e8 1.52195e8i 0.00111807 0.00140201i
\(575\) −6.30478e10 2.76231e11i −0.576765 2.52697i
\(576\) −2.95102e9 1.29293e10i −0.0268091 0.117458i
\(577\) −2.94046e10 + 6.10593e10i −0.265285 + 0.550869i −0.990477 0.137677i \(-0.956036\pi\)
0.725193 + 0.688546i \(0.241751\pi\)
\(578\) 4.49036e10 + 3.58094e10i 0.402318 + 0.320838i
\(579\) 1.58978e10 1.26781e10i 0.141457 0.112808i
\(580\) 3.71017e11 + 1.78673e11i 3.27855 + 1.57887i
\(581\) 1.11723e8 2.31996e8i 0.000980481 0.00203599i
\(582\) −1.66874e11 2.09254e11i −1.45445 1.82382i
\(583\) 9.38170e10 1.17643e11i 0.812096 1.01834i
\(584\) 3.83800e10 + 1.84828e10i 0.329954 + 0.158897i
\(585\) 9.22080e10 2.10459e10i 0.787308 0.179698i
\(586\) 1.54242e11 3.52047e10i 1.30801 0.298545i
\(587\) 1.67223e11 + 1.33356e11i 1.40846 + 1.12321i 0.975043 + 0.222017i \(0.0712641\pi\)
0.433418 + 0.901193i \(0.357307\pi\)
\(588\) 8.72503e10 + 1.81177e11i 0.729890 + 1.51563i
\(589\) −1.21882e11 2.78188e10i −1.01270 0.231142i
\(590\) −2.92752e11 + 1.40982e11i −2.41597 + 1.16347i
\(591\) −2.11039e9 + 1.68298e9i −0.0172987 + 0.0137952i
\(592\) −1.87486e11 + 4.27924e10i −1.52645 + 0.348401i
\(593\) −8.77385e10 + 6.99691e10i −0.709531 + 0.565832i −0.910372 0.413792i \(-0.864204\pi\)
0.200840 + 0.979624i \(0.435633\pi\)
\(594\) −7.34054e10 + 3.21610e11i −0.589634 + 2.58335i
\(595\) −1.30379e9 −0.0104025
\(596\) 4.09670e11i 3.24675i
\(597\) −2.95140e10 + 1.29309e11i −0.232344 + 1.01796i
\(598\) 2.02841e11 + 1.61761e11i 1.58618 + 1.26493i
\(599\) −7.59401e10 3.65708e10i −0.589880 0.284071i 0.115037 0.993361i \(-0.463301\pi\)
−0.704917 + 0.709290i \(0.749016\pi\)
\(600\) 4.63376e11 2.23150e11i 3.57543 1.72184i
\(601\) 9.72945e10i 0.745745i −0.927883 0.372872i \(-0.878373\pi\)
0.927883 0.372872i \(-0.121627\pi\)
\(602\) −5.70749e8 + 1.00903e9i −0.00434569 + 0.00768279i
\(603\) −2.41654e9 −0.0182778
\(604\) −7.91589e10 1.64375e11i −0.594774 1.23506i
\(605\) −9.45495e10 + 1.96334e11i −0.705729 + 1.46546i
\(606\) −5.30852e10 + 6.65667e10i −0.393625 + 0.493590i
\(607\) −1.08397e11 2.47410e10i −0.798479 0.182248i −0.196232 0.980557i \(-0.562871\pi\)
−0.602247 + 0.798310i \(0.705728\pi\)
\(608\) −1.13465e11 −0.830322
\(609\) 4.69927e8i 0.00341634i
\(610\) 5.11804e11 + 1.16816e11i 3.69644 + 0.843689i
\(611\) 3.07537e10 + 3.85639e10i 0.220664 + 0.276705i
\(612\) 3.16058e10 + 1.38474e11i 0.225300 + 0.987103i
\(613\) −1.67091e11 2.09526e11i −1.18335 1.48387i −0.838235 0.545309i \(-0.816412\pi\)
−0.345113 0.938561i \(-0.612159\pi\)
\(614\) −1.15938e11 2.40747e11i −0.815738 1.69390i
\(615\) −9.22284e9 + 4.04079e10i −0.0644710 + 0.282466i
\(616\) −1.86149e9 + 8.96448e8i −0.0129282 + 0.00622590i
\(617\) −2.31650e10 + 2.90480e10i −0.159842 + 0.200436i −0.855303 0.518128i \(-0.826629\pi\)
0.695461 + 0.718564i \(0.255200\pi\)
\(618\) −5.55951e9 2.43578e10i −0.0381138 0.166987i
\(619\) 8.86280e9 + 3.88305e10i 0.0603682 + 0.264490i 0.996101 0.0882190i \(-0.0281175\pi\)
−0.935733 + 0.352709i \(0.885260\pi\)
\(620\) 2.36469e11 4.91032e11i 1.60032 3.32310i
\(621\) −1.34061e11 1.06910e11i −0.901436 0.718872i
\(622\) −1.39005e11 + 1.10853e11i −0.928688 + 0.740604i
\(623\) 1.14878e9 + 5.53222e8i 0.00762577 + 0.00367238i
\(624\) −8.61564e10 + 1.78906e11i −0.568263 + 1.18001i
\(625\) 2.37440e11 + 2.97740e11i 1.55608 + 1.95127i
\(626\) −2.38974e11 + 2.99664e11i −1.55616 + 1.95136i
\(627\) −1.67546e11 8.06858e10i −1.08409 0.522068i
\(628\) 1.48128e11 3.38093e10i 0.952355 0.217369i
\(629\) −1.70140e11 + 3.88332e10i −1.08693 + 0.248085i
\(630\) −8.22082e8 6.55589e8i −0.00521859 0.00416168i
\(631\) 9.27355e10 + 1.92567e11i 0.584963 + 1.21469i 0.957972 + 0.286861i \(0.0926117\pi\)
−0.373009 + 0.927828i \(0.621674\pi\)
\(632\) 1.12090e10 + 2.55839e9i 0.0702587 + 0.0160361i
\(633\) 1.88588e11 9.08194e10i 1.17463 0.565671i
\(634\) 4.20456e11 3.35303e11i 2.60234 2.07530i
\(635\) 2.35908e11 5.38444e10i 1.45093 0.331166i
\(636\) −2.04559e11 + 1.63130e11i −1.25023 + 0.997024i
\(637\) 3.91244e10 1.71415e11i 0.237624 1.04110i
\(638\) 3.63900e11 2.19634
\(639\) 9.68142e10i 0.580678i
\(640\) −8.68165e10 + 3.80368e11i −0.517467 + 2.26717i
\(641\) −1.01461e11 8.09122e10i −0.600988 0.479272i 0.275105 0.961414i \(-0.411287\pi\)
−0.876093 + 0.482142i \(0.839859\pi\)
\(642\) 2.12871e11 + 1.02513e11i 1.25308 + 0.603449i
\(643\) −3.46136e10 + 1.66690e10i −0.202489 + 0.0975138i −0.532380 0.846505i \(-0.678702\pi\)
0.329891 + 0.944019i \(0.392988\pi\)
\(644\) 1.97915e9i 0.0115063i
\(645\) 1.62719e10 2.46289e11i 0.0940156 1.42300i
\(646\) −4.02698e11 −2.31233
\(647\) −7.17170e8 1.48922e9i −0.00409265 0.00849848i 0.898913 0.438128i \(-0.144358\pi\)
−0.903005 + 0.429630i \(0.858644\pi\)
\(648\) 6.89455e10 1.43167e11i 0.391026 0.811975i
\(649\) −1.22842e11 + 1.54039e11i −0.692417 + 0.868264i
\(650\) −8.07935e11 1.84406e11i −4.52609 1.03305i
\(651\) 6.21937e8 0.00346276
\(652\) 5.34075e11i 2.95537i
\(653\) −5.30778e10 1.21147e10i −0.291918 0.0666283i 0.0740541 0.997254i \(-0.476406\pi\)
−0.365972 + 0.930626i \(0.619263\pi\)
\(654\) −8.37449e10 1.05013e11i −0.457770 0.574026i
\(655\) 7.38777e10 + 3.23679e11i 0.401373 + 1.75853i
\(656\) 3.73912e10 + 4.68871e10i 0.201908 + 0.253185i
\(657\) 5.70357e9 + 1.18436e10i 0.0306116 + 0.0635655i
\(658\) 1.22024e8 5.34622e8i 0.000650941 0.00285196i
\(659\) 1.71430e11 8.25565e10i 0.908962 0.437733i 0.0798448 0.996807i \(-0.474558\pi\)
0.829118 + 0.559074i \(0.188843\pi\)
\(660\) 5.05458e11 6.33824e11i 2.66385 3.34036i
\(661\) 4.28862e10 + 1.87897e11i 0.224653 + 0.984269i 0.953925 + 0.300045i \(0.0970018\pi\)
−0.729272 + 0.684224i \(0.760141\pi\)
\(662\) −9.96022e10 4.36386e11i −0.518605 2.27216i
\(663\) −7.81852e10 + 1.62353e11i −0.404641 + 0.840247i
\(664\) 1.47093e11 + 1.17302e11i 0.756691 + 0.603441i
\(665\) 1.59930e9 1.27540e9i 0.00817791 0.00652166i
\(666\) −1.26805e11 6.10662e10i −0.644526 0.310388i
\(667\) −8.20705e10 + 1.70421e11i −0.414652 + 0.861034i
\(668\) 4.66751e11 + 5.85287e11i 2.34412 + 2.93943i
\(669\) −1.02861e11 + 1.28983e11i −0.513506 + 0.643917i
\(670\) 2.69103e10 + 1.29593e10i 0.133542 + 0.0643107i
\(671\) 3.10335e11 7.08320e10i 1.53088 0.349413i
\(672\) 5.50315e8 1.25606e8i 0.00269857 0.000615932i
\(673\) −7.35005e10 5.86147e10i −0.358286 0.285724i 0.427759 0.903893i \(-0.359303\pi\)
−0.786045 + 0.618169i \(0.787875\pi\)
\(674\) 6.93806e10 + 1.44070e11i 0.336201 + 0.698128i
\(675\) 5.33976e11 + 1.21876e11i 2.57221 + 0.587090i
\(676\) 5.77585e10 2.78150e10i 0.276585 0.133196i
\(677\) −1.77387e11 + 1.41462e11i −0.844438 + 0.673417i −0.946973 0.321312i \(-0.895876\pi\)
0.102535 + 0.994729i \(0.467305\pi\)
\(678\) −4.45908e11 + 1.01775e11i −2.11021 + 0.481642i
\(679\) 1.39570e9 1.11304e9i 0.00656620 0.00523637i
\(680\) 2.11975e11 9.28724e11i 0.991401 4.34361i
\(681\) 1.73723e11 0.807733
\(682\) 4.81613e11i 2.22618i
\(683\) 5.15073e10 2.25668e11i 0.236693 1.03702i −0.707263 0.706951i \(-0.750070\pi\)
0.943956 0.330071i \(-0.107073\pi\)
\(684\) −1.74228e11 1.38942e11i −0.795963 0.634759i
\(685\) −3.79701e11 1.82854e11i −1.72456 0.830506i
\(686\) −3.52231e9 + 1.69626e9i −0.0159049 + 0.00765941i
\(687\) 6.39867e10i 0.287252i
\(688\) −2.63935e11 2.40595e11i −1.17799 1.07383i
\(689\) 2.28764e11 1.01511
\(690\) 2.66459e11 + 5.53308e11i 1.17553 + 2.44101i
\(691\) 1.35793e11 2.81977e11i 0.595614 1.23681i −0.357421 0.933944i \(-0.616344\pi\)
0.953035 0.302862i \(-0.0979420\pi\)
\(692\) −4.81024e11 + 6.03185e11i −2.09770 + 2.63043i
\(693\) −6.21588e8 1.41873e8i −0.00269507 0.000615132i
\(694\) −2.58912e11 −1.11613
\(695\) 4.61863e10i 0.197959i
\(696\) −3.34742e11 7.64027e10i −1.42651 0.325591i
\(697\) 3.39318e10 + 4.25491e10i 0.143772 + 0.180285i
\(698\) 3.29284e10 + 1.44269e11i 0.138723 + 0.607786i
\(699\) 1.98535e11 + 2.48955e11i 0.831625 + 1.04282i
\(700\) 2.74292e9 + 5.69574e9i 0.0114241 + 0.0237224i
\(701\) −1.08317e10 + 4.74568e10i −0.0448564 + 0.196529i −0.992391 0.123123i \(-0.960709\pi\)
0.947535 + 0.319652i \(0.103566\pi\)
\(702\) −4.51859e11 + 2.17604e11i −1.86061 + 0.896020i
\(703\) 1.70715e11 2.14069e11i 0.698955 0.876462i
\(704\) 2.21165e10 + 9.68986e10i 0.0900379 + 0.394482i
\(705\) 2.59808e10 + 1.13829e11i 0.105171 + 0.460784i
\(706\) −6.01440e10 + 1.24890e11i −0.242088 + 0.502701i
\(707\) −4.43994e8 3.54073e8i −0.00177705 0.00141715i
\(708\) 2.67845e11 2.13599e11i 1.06598 0.850092i
\(709\) −2.87668e9 1.38534e9i −0.0113843 0.00548240i 0.428183 0.903692i \(-0.359154\pi\)
−0.439567 + 0.898210i \(0.644868\pi\)
\(710\) −5.19192e11 + 1.07811e12i −2.04312 + 4.24259i
\(711\) 2.21209e9 + 2.77388e9i 0.00865616 + 0.0108545i
\(712\) −5.80848e11 + 7.28360e11i −2.26018 + 2.83417i
\(713\) 2.25548e11 + 1.08618e11i 0.872732 + 0.420286i
\(714\) 1.95312e9 4.45788e8i 0.00751514 0.00171528i
\(715\) −6.91054e11 + 1.57728e11i −2.64416 + 0.603512i
\(716\) 1.21131e11 + 9.65985e10i 0.460895 + 0.367552i
\(717\) −9.56899e9 1.98702e10i −0.0362068 0.0751841i
\(718\) −6.12309e11 1.39755e11i −2.30395 0.525861i
\(719\) 3.62857e10 1.74743e10i 0.135775 0.0653859i −0.364763 0.931101i \(-0.618850\pi\)
0.500538 + 0.865715i \(0.333136\pi\)
\(720\) 2.53261e11 2.01969e11i 0.942407 0.751545i
\(721\) 1.62464e8 3.70814e7i 0.000601197 0.000137219i
\(722\) 1.14732e11 9.14954e10i 0.422216 0.336706i
\(723\) 1.75589e10 7.69304e10i 0.0642603 0.281543i
\(724\) −1.60435e11 −0.583908
\(725\) 6.04191e11i 2.18687i
\(726\) 7.45087e10 3.26444e11i 0.268201 1.17507i
\(727\) 2.22241e11 + 1.77231e11i 0.795584 + 0.634457i 0.934547 0.355840i \(-0.115805\pi\)
−0.138962 + 0.990298i \(0.544377\pi\)
\(728\) −2.83007e9 1.36289e9i −0.0100756 0.00485216i
\(729\) 2.56282e11 1.23419e11i 0.907421 0.436991i
\(730\) 1.62476e11i 0.572133i
\(731\) −2.39516e11 2.18336e11i −0.838812 0.764636i
\(732\) −5.53492e11 −1.92782
\(733\) −1.72997e11 3.59233e11i −0.599271 1.24440i −0.951258 0.308395i \(-0.900208\pi\)
0.351987 0.936005i \(-0.385506\pi\)
\(734\) −7.52769e10 + 1.56314e11i −0.259345 + 0.538535i
\(735\) 2.59489e11 3.25389e11i 0.889140 1.11495i
\(736\) 2.21511e11 + 5.05583e10i 0.754889 + 0.172299i
\(737\) 1.81108e10 0.0613857
\(738\) 4.38907e10i 0.147961i
\(739\) −6.96194e10 1.58902e10i −0.233428 0.0532784i 0.104207 0.994556i \(-0.466770\pi\)
−0.337634 + 0.941277i \(0.609627\pi\)
\(740\) 7.44222e11 + 9.33225e11i 2.48185 + 3.11214i
\(741\) −6.29116e10 2.75634e11i −0.208669 0.914238i
\(742\) −1.58571e9 1.98842e9i −0.00523128 0.00655982i
\(743\) 9.97334e10 + 2.07098e11i 0.327254 + 0.679550i 0.998072 0.0620722i \(-0.0197709\pi\)
−0.670818 + 0.741622i \(0.734057\pi\)
\(744\) −1.01117e11 + 4.43023e11i −0.330014 + 1.44589i
\(745\) 7.63908e11 3.67879e11i 2.47980 1.19421i
\(746\) 3.61528e11 4.53341e11i 1.16731 1.46376i
\(747\) 1.29189e10 + 5.66016e10i 0.0414901 + 0.181780i
\(748\) −2.36870e11 1.03779e12i −0.756665 3.31516i
\(749\) −6.83755e8 + 1.41983e9i −0.00217257 + 0.00451138i
\(750\) −9.03926e11 7.20857e11i −2.85685 2.27826i
\(751\) −2.84529e11 + 2.26905e11i −0.894473 + 0.713319i −0.958640 0.284621i \(-0.908132\pi\)
0.0641670 + 0.997939i \(0.479561\pi\)
\(752\) 1.52208e11 + 7.32995e10i 0.475955 + 0.229208i
\(753\) −8.08318e10 + 1.67849e11i −0.251422 + 0.522082i
\(754\) 3.44943e11 + 4.32545e11i 1.06724 + 1.33828i
\(755\)