Properties

Label 37.8.f.a.7.4
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-14.2518 + 5.18723i) q^{2} +(85.5870 + 31.1511i) q^{3} +(78.1529 - 65.5781i) q^{4} +(80.5878 + 457.036i) q^{5} -1381.36 q^{6} +(115.337 + 654.111i) q^{7} +(197.001 - 341.217i) q^{8} +(4679.40 + 3926.48i) q^{9} +O(q^{10})\) \(q+(-14.2518 + 5.18723i) q^{2} +(85.5870 + 31.1511i) q^{3} +(78.1529 - 65.5781i) q^{4} +(80.5878 + 457.036i) q^{5} -1381.36 q^{6} +(115.337 + 654.111i) q^{7} +(197.001 - 341.217i) q^{8} +(4679.40 + 3926.48i) q^{9} +(-3519.28 - 6095.56i) q^{10} +(1829.22 - 3168.31i) q^{11} +(8731.71 - 3178.08i) q^{12} +(5308.56 - 4454.41i) q^{13} +(-5036.79 - 8723.98i) q^{14} +(-7339.92 + 41626.7i) q^{15} +(-3305.28 + 18745.2i) q^{16} +(-10684.6 - 8965.41i) q^{17} +(-87057.5 - 31686.3i) q^{18} +(2682.03 + 976.179i) q^{19} +(36269.7 + 30433.9i) q^{20} +(-10504.9 + 59576.3i) q^{21} +(-9634.99 + 54642.8i) q^{22} +(-36316.6 - 62902.3i) q^{23} +(27490.0 - 23066.9i) q^{24} +(-128974. + 46942.8i) q^{25} +(-52550.5 + 91020.2i) q^{26} +(178586. + 309320. i) q^{27} +(51909.3 + 43557.1i) q^{28} +(22950.5 - 39751.4i) q^{29} +(-111321. - 631330. i) q^{30} +33690.8 q^{31} +(-41372.0 - 234632. i) q^{32} +(255254. - 214184. i) q^{33} +(198780. + 72350.0i) q^{34} +(-289658. + 105427. i) q^{35} +623200. q^{36} +(-280358. - 127794. i) q^{37} -43287.4 q^{38} +(593104. - 215872. i) q^{39} +(171824. + 62538.9i) q^{40} +(-426476. + 357855. i) q^{41} +(-159322. - 903561. i) q^{42} +487984. q^{43} +(-64812.5 - 367570. i) q^{44} +(-1.41744e6 + 2.45508e6i) q^{45} +(843867. + 708088. i) q^{46} +(-201387. - 348812. i) q^{47} +(-866823. + 1.50138e6i) q^{48} +(359319. - 130781. i) q^{49} +(1.59461e6 - 1.33804e6i) q^{50} +(-635177. - 1.10016e6i) q^{51} +(122768. - 696251. i) q^{52} +(48567.6 - 275440. i) q^{53} +(-4.14968e6 - 3.48200e6i) q^{54} +(1.59545e6 + 580695. i) q^{55} +(245915. + 89505.8i) q^{56} +(199138. + 167096. i) q^{57} +(-120886. + 685579. i) q^{58} +(368396. - 2.08928e6i) q^{59} +(2.15617e6 + 3.73459e6i) q^{60} +(1.47280e6 - 1.23583e6i) q^{61} +(-480155. + 174762. i) q^{62} +(-2.02865e6 + 3.51372e6i) q^{63} +(588517. + 1.01934e6i) q^{64} +(2.46363e6 + 2.06723e6i) q^{65} +(-2.52681e6 + 4.37657e6i) q^{66} +(242574. + 1.37570e6i) q^{67} -1.42296e6 q^{68} +(-1.14876e6 - 6.51492e6i) q^{69} +(3.58127e6 - 3.00504e6i) q^{70} +(-2.82538e6 - 1.02835e6i) q^{71} +(2.26163e6 - 823166. i) q^{72} +2.45938e6 q^{73} +(4.65850e6 + 367020. i) q^{74} -1.25008e7 q^{75} +(273624. - 99591.1i) q^{76} +(2.28340e6 + 831091. i) q^{77} +(-7.33302e6 + 6.15314e6i) q^{78} +(-1.03939e6 - 5.89466e6i) q^{79} -8.83360e6 q^{80} +(3.32914e6 + 1.88805e7i) q^{81} +(4.22177e6 - 7.31232e6i) q^{82} +(2.83744e6 + 2.38090e6i) q^{83} +(3.08591e6 + 5.34495e6i) q^{84} +(3.23647e6 - 5.60573e6i) q^{85} +(-6.95465e6 + 2.53129e6i) q^{86} +(3.20256e6 - 2.68727e6i) q^{87} +(-720720. - 1.24832e6i) q^{88} +(-1.87866e6 + 1.06544e7i) q^{89} +(7.46603e6 - 4.23420e7i) q^{90} +(3.52596e6 + 2.95863e6i) q^{91} +(-6.96327e6 - 2.53442e6i) q^{92} +(2.88349e6 + 1.04951e6i) q^{93} +(4.67950e6 + 3.92657e6i) q^{94} +(-230010. + 1.30445e6i) q^{95} +(3.76815e6 - 2.13702e7i) q^{96} +(3.44518e6 + 5.96722e6i) q^{97} +(-4.44255e6 + 3.72774e6i) q^{98} +(2.10000e7 - 7.64337e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} + O(q^{10}) \) \( 132 q + 15 q^{2} + 33 q^{3} - 279 q^{4} + 576 q^{5} - 12 q^{6} - 597 q^{7} - 3750 q^{8} - 3243 q^{9} - 6003 q^{10} - 15975 q^{11} - 4635 q^{12} - 15981 q^{13} - 13491 q^{14} + 38493 q^{15} - 74151 q^{16} + 37698 q^{17} - 20100 q^{18} - 66102 q^{19} - 176184 q^{20} - 142530 q^{21} + 132783 q^{22} + 140631 q^{23} - 38793 q^{24} - 544092 q^{25} - 423147 q^{26} + 130557 q^{27} + 603813 q^{28} + 22890 q^{29} - 319860 q^{30} - 1288044 q^{31} - 217866 q^{32} + 112344 q^{33} + 812019 q^{34} + 1479252 q^{35} + 8118132 q^{36} - 1664550 q^{37} + 305010 q^{38} - 1580340 q^{39} - 4681425 q^{40} - 2956593 q^{41} - 3553029 q^{42} - 1023528 q^{43} + 6409524 q^{44} + 1803336 q^{45} + 10219434 q^{46} - 2607204 q^{47} - 2984043 q^{48} - 6819531 q^{49} + 5724015 q^{50} - 1675833 q^{51} + 11768451 q^{52} + 2280177 q^{53} - 7803897 q^{54} - 3542196 q^{55} + 12168843 q^{56} - 85203 q^{57} - 12425487 q^{58} - 7014600 q^{59} + 2356788 q^{60} + 10840332 q^{61} + 6334368 q^{62} - 3331359 q^{63} - 26175624 q^{64} - 573195 q^{65} - 36720249 q^{66} + 6642918 q^{67} - 25277742 q^{68} - 1236438 q^{69} - 27401982 q^{70} + 20311041 q^{71} + 40093005 q^{72} + 38643780 q^{73} - 9531 q^{74} + 16639446 q^{75} + 5787405 q^{76} - 316971 q^{77} + 9363381 q^{78} + 17712534 q^{79} - 74410128 q^{80} - 10355109 q^{81} - 16702371 q^{82} - 31021176 q^{83} - 61626192 q^{84} + 23576445 q^{85} + 18579072 q^{86} + 104996631 q^{87} + 57279702 q^{88} - 13471320 q^{89} + 56306910 q^{90} - 2335911 q^{91} - 178133436 q^{92} + 24366258 q^{93} + 77086020 q^{94} - 26254407 q^{95} + 152523921 q^{96} + 14408415 q^{97} - 521205 q^{98} + 58375668 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −14.2518 + 5.18723i −1.25969 + 0.458491i −0.883666 0.468117i \(-0.844932\pi\)
−0.376028 + 0.926608i \(0.622710\pi\)
\(3\) 85.5870 + 31.1511i 1.83014 + 0.666115i 0.992853 + 0.119345i \(0.0380795\pi\)
0.837283 + 0.546770i \(0.184143\pi\)
\(4\) 78.1529 65.5781i 0.610570 0.512329i
\(5\) 80.5878 + 457.036i 0.288320 + 1.63514i 0.693181 + 0.720764i \(0.256209\pi\)
−0.404861 + 0.914378i \(0.632680\pi\)
\(6\) −1381.36 −2.61082
\(7\) 115.337 + 654.111i 0.127095 + 0.720789i 0.980042 + 0.198792i \(0.0637018\pi\)
−0.852947 + 0.521997i \(0.825187\pi\)
\(8\) 197.001 341.217i 0.136036 0.235622i
\(9\) 4679.40 + 3926.48i 2.13964 + 1.79537i
\(10\) −3519.28 6095.56i −1.11289 1.92759i
\(11\) 1829.22 3168.31i 0.414374 0.717717i −0.580988 0.813912i \(-0.697334\pi\)
0.995363 + 0.0961948i \(0.0306672\pi\)
\(12\) 8731.71 3178.08i 1.45870 0.530922i
\(13\) 5308.56 4454.41i 0.670155 0.562327i −0.242956 0.970037i \(-0.578117\pi\)
0.913111 + 0.407711i \(0.133673\pi\)
\(14\) −5036.79 8723.98i −0.490576 0.849702i
\(15\) −7339.92 + 41626.7i −0.561529 + 3.18459i
\(16\) −3305.28 + 18745.2i −0.201739 + 1.14412i
\(17\) −10684.6 8965.41i −0.527455 0.442587i 0.339766 0.940510i \(-0.389652\pi\)
−0.867222 + 0.497922i \(0.834096\pi\)
\(18\) −87057.5 31686.3i −3.51846 1.28061i
\(19\) 2682.03 + 976.179i 0.0897069 + 0.0326506i 0.386484 0.922296i \(-0.373690\pi\)
−0.296777 + 0.954947i \(0.595912\pi\)
\(20\) 36269.7 + 30433.9i 1.01377 + 0.850654i
\(21\) −10504.9 + 59576.3i −0.247528 + 1.40380i
\(22\) −9634.99 + 54642.8i −0.192918 + 1.09409i
\(23\) −36316.6 62902.3i −0.622384 1.07800i −0.989041 0.147644i \(-0.952831\pi\)
0.366657 0.930356i \(-0.380502\pi\)
\(24\) 27490.0 23066.9i 0.405916 0.340604i
\(25\) −128974. + 46942.8i −1.65087 + 0.600867i
\(26\) −52550.5 + 91020.2i −0.586368 + 1.01562i
\(27\) 178586. + 309320.i 1.74612 + 3.02436i
\(28\) 51909.3 + 43557.1i 0.446881 + 0.374978i
\(29\) 22950.5 39751.4i 0.174743 0.302663i −0.765329 0.643639i \(-0.777424\pi\)
0.940072 + 0.340975i \(0.110757\pi\)
\(30\) −111321. 631330.i −0.752750 4.26906i
\(31\) 33690.8 0.203117 0.101558 0.994830i \(-0.467617\pi\)
0.101558 + 0.994830i \(0.467617\pi\)
\(32\) −41372.0 234632.i −0.223193 1.26579i
\(33\) 255254. 214184.i 1.23644 1.03750i
\(34\) 198780. + 72350.0i 0.867354 + 0.315691i
\(35\) −289658. + 105427.i −1.14195 + 0.415635i
\(36\) 623200. 2.22622
\(37\) −280358. 127794.i −0.909927 0.414768i
\(38\) −43287.4 −0.127973
\(39\) 593104. 215872.i 1.60105 0.582734i
\(40\) 171824. + 62538.9i 0.424497 + 0.154504i
\(41\) −426476. + 357855.i −0.966386 + 0.810894i −0.981980 0.188984i \(-0.939480\pi\)
0.0155941 + 0.999878i \(0.495036\pi\)
\(42\) −159322. 903561.i −0.331821 1.88185i
\(43\) 487984. 0.935978 0.467989 0.883734i \(-0.344979\pi\)
0.467989 + 0.883734i \(0.344979\pi\)
\(44\) −64812.5 367570.i −0.114703 0.650512i
\(45\) −1.41744e6 + 2.45508e6i −2.31879 + 4.01626i
\(46\) 843867. + 708088.i 1.27827 + 1.07259i
\(47\) −201387. 348812.i −0.282936 0.490060i 0.689170 0.724599i \(-0.257975\pi\)
−0.972107 + 0.234539i \(0.924642\pi\)
\(48\) −866823. + 1.50138e6i −1.13132 + 1.95951i
\(49\) 359319. 130781.i 0.436309 0.158803i
\(50\) 1.59461e6 1.33804e6i 1.80410 1.51382i
\(51\) −635177. 1.10016e6i −0.670500 1.16134i
\(52\) 122768. 696251.i 0.121080 0.686679i
\(53\) 48567.6 275440.i 0.0448106 0.254134i −0.954171 0.299263i \(-0.903259\pi\)
0.998981 + 0.0451299i \(0.0143702\pi\)
\(54\) −4.14968e6 3.48200e6i −3.58622 3.00919i
\(55\) 1.59545e6 + 580695.i 1.29304 + 0.470629i
\(56\) 245915. + 89505.8i 0.187123 + 0.0681072i
\(57\) 199138. + 167096.i 0.142427 + 0.119510i
\(58\) −120886. + 685579.i −0.0813539 + 0.461381i
\(59\) 368396. 2.08928e6i 0.233525 1.32438i −0.612174 0.790723i \(-0.709705\pi\)
0.845698 0.533661i \(-0.179184\pi\)
\(60\) 2.15617e6 + 3.73459e6i 1.28870 + 2.23210i
\(61\) 1.47280e6 1.23583e6i 0.830788 0.697114i −0.124684 0.992197i \(-0.539792\pi\)
0.955472 + 0.295083i \(0.0953473\pi\)
\(62\) −480155. + 174762.i −0.255865 + 0.0931271i
\(63\) −2.02865e6 + 3.51372e6i −1.02215 + 1.77041i
\(64\) 588517. + 1.01934e6i 0.280627 + 0.486060i
\(65\) 2.46363e6 + 2.06723e6i 1.11270 + 0.933669i
\(66\) −2.52681e6 + 4.37657e6i −1.08186 + 1.87383i
\(67\) 242574. + 1.37570e6i 0.0985330 + 0.558809i 0.993607 + 0.112892i \(0.0360113\pi\)
−0.895074 + 0.445917i \(0.852878\pi\)
\(68\) −1.42296e6 −0.548799
\(69\) −1.14876e6 6.51492e6i −0.420975 2.38747i
\(70\) 3.58127e6 3.00504e6i 1.24794 1.04715i
\(71\) −2.82538e6 1.02835e6i −0.936855 0.340987i −0.171932 0.985109i \(-0.555001\pi\)
−0.764923 + 0.644122i \(0.777223\pi\)
\(72\) 2.26163e6 823166.i 0.714098 0.259910i
\(73\) 2.45938e6 0.739938 0.369969 0.929044i \(-0.379368\pi\)
0.369969 + 0.929044i \(0.379368\pi\)
\(74\) 4.65850e6 + 367020.i 1.33640 + 0.105288i
\(75\) −1.25008e7 −3.42156
\(76\) 273624. 99591.1i 0.0715002 0.0260239i
\(77\) 2.28340e6 + 831091.i 0.569987 + 0.207458i
\(78\) −7.33302e6 + 6.15314e6i −1.74965 + 1.46813i
\(79\) −1.03939e6 5.89466e6i −0.237183 1.34513i −0.837968 0.545719i \(-0.816257\pi\)
0.600785 0.799410i \(-0.294855\pi\)
\(80\) −8.83360e6 −1.92896
\(81\) 3.32914e6 + 1.88805e7i 0.696040 + 3.94744i
\(82\) 4.22177e6 7.31232e6i 0.845563 1.46456i
\(83\) 2.83744e6 + 2.38090e6i 0.544696 + 0.457054i 0.873140 0.487469i \(-0.162080\pi\)
−0.328444 + 0.944523i \(0.606524\pi\)
\(84\) 3.08591e6 + 5.34495e6i 0.568075 + 0.983935i
\(85\) 3.23647e6 5.60573e6i 0.571618 0.990071i
\(86\) −6.95465e6 + 2.53129e6i −1.17905 + 0.429138i
\(87\) 3.20256e6 2.68727e6i 0.521411 0.437516i
\(88\) −720720. 1.24832e6i −0.112740 0.195271i
\(89\) −1.87866e6 + 1.06544e7i −0.282477 + 1.60201i 0.431685 + 0.902024i \(0.357919\pi\)
−0.714162 + 0.699981i \(0.753192\pi\)
\(90\) 7.46603e6 4.23420e7i 1.07955 6.12241i
\(91\) 3.52596e6 + 2.95863e6i 0.490492 + 0.411572i
\(92\) −6.96327e6 2.53442e6i −0.932300 0.339329i
\(93\) 2.88349e6 + 1.04951e6i 0.371731 + 0.135299i
\(94\) 4.67950e6 + 3.92657e6i 0.581101 + 0.487602i
\(95\) −230010. + 1.30445e6i −0.0275242 + 0.156097i
\(96\) 3.76815e6 2.13702e7i 0.434689 2.46524i
\(97\) 3.44518e6 + 5.96722e6i 0.383275 + 0.663852i 0.991528 0.129891i \(-0.0414628\pi\)
−0.608253 + 0.793743i \(0.708130\pi\)
\(98\) −4.44255e6 + 3.72774e6i −0.476805 + 0.400087i
\(99\) 2.10000e7 7.64337e6i 2.17518 0.791702i
\(100\) −7.00130e6 + 1.21266e7i −0.700130 + 1.21266i
\(101\) −2.22108e6 3.84702e6i −0.214506 0.371535i 0.738614 0.674129i \(-0.235481\pi\)
−0.953120 + 0.302594i \(0.902147\pi\)
\(102\) 1.47592e7 + 1.23844e7i 1.37709 + 1.15552i
\(103\) −7.96551e6 + 1.37967e7i −0.718262 + 1.24407i 0.243425 + 0.969920i \(0.421729\pi\)
−0.961688 + 0.274147i \(0.911604\pi\)
\(104\) −474125. 2.68889e6i −0.0413310 0.234400i
\(105\) −2.80751e7 −2.36678
\(106\) 736598. + 4.17745e6i 0.0600703 + 0.340676i
\(107\) 8.91803e6 7.48312e6i 0.703762 0.590527i −0.219079 0.975707i \(-0.570305\pi\)
0.922841 + 0.385181i \(0.125861\pi\)
\(108\) 3.42416e7 + 1.24629e7i 2.61560 + 0.951999i
\(109\) −144386. + 52552.2i −0.0106790 + 0.00388685i −0.347354 0.937734i \(-0.612920\pi\)
0.336675 + 0.941621i \(0.390698\pi\)
\(110\) −2.57502e7 −1.84462
\(111\) −2.00140e7 1.96710e7i −1.38901 1.36520i
\(112\) −1.26427e7 −0.850306
\(113\) −100767. + 36676.1i −0.00656966 + 0.00239116i −0.345303 0.938491i \(-0.612224\pi\)
0.338733 + 0.940882i \(0.390002\pi\)
\(114\) −3.70484e6 1.34845e6i −0.234208 0.0852449i
\(115\) 2.58219e7 2.16672e7i 1.58324 1.32849i
\(116\) −813174. 4.61174e6i −0.0483705 0.274323i
\(117\) 4.23311e7 2.44348
\(118\) 5.58726e6 + 3.16869e7i 0.313049 + 1.77539i
\(119\) 4.63204e6 8.02294e6i 0.251976 0.436434i
\(120\) 1.27578e7 + 1.07050e7i 0.673969 + 0.565527i
\(121\) 3.05146e6 + 5.28529e6i 0.156588 + 0.271219i
\(122\) −1.45796e7 + 2.52526e7i −0.726918 + 1.25906i
\(123\) −4.76483e7 + 1.73426e7i −2.30877 + 0.840322i
\(124\) 2.63304e6 2.20938e6i 0.124017 0.104063i
\(125\) −1.37199e7 2.37636e7i −0.628298 1.08824i
\(126\) 1.06854e7 6.05999e7i 0.475876 2.69883i
\(127\) −1.57757e6 + 8.94685e6i −0.0683402 + 0.387576i 0.931383 + 0.364041i \(0.118603\pi\)
−0.999723 + 0.0235352i \(0.992508\pi\)
\(128\) 9.68646e6 + 8.12791e6i 0.408254 + 0.342566i
\(129\) 4.17650e7 + 1.52012e7i 1.71297 + 0.623469i
\(130\) −4.58344e7 1.66824e7i −1.82974 0.665972i
\(131\) −2.93256e7 2.46071e7i −1.13972 0.956337i −0.140288 0.990111i \(-0.544803\pi\)
−0.999430 + 0.0337738i \(0.989247\pi\)
\(132\) 5.90311e6 3.34782e7i 0.223394 1.26693i
\(133\) −329191. + 1.86693e6i −0.0121330 + 0.0688095i
\(134\) −1.05932e7 1.83480e7i −0.380330 0.658751i
\(135\) −1.26978e8 + 1.06548e8i −4.44183 + 3.72714i
\(136\) −5.16402e6 + 1.87955e6i −0.176036 + 0.0640719i
\(137\) −912691. + 1.58083e6i −0.0303251 + 0.0525245i −0.880790 0.473508i \(-0.842988\pi\)
0.850465 + 0.526032i \(0.176321\pi\)
\(138\) 5.01663e7 + 8.68905e7i 1.62493 + 2.81446i
\(139\) 2.21287e7 + 1.85682e7i 0.698883 + 0.586432i 0.921456 0.388484i \(-0.127001\pi\)
−0.222573 + 0.974916i \(0.571445\pi\)
\(140\) −1.57239e7 + 2.72346e7i −0.484298 + 0.838828i
\(141\) −6.37020e6 3.61272e7i −0.191376 1.08534i
\(142\) 4.56011e7 1.33649
\(143\) −4.40241e6 2.49673e7i −0.125897 0.713995i
\(144\) −8.90694e7 + 7.47381e7i −2.48576 + 2.08580i
\(145\) 2.00174e7 + 7.28573e6i 0.545279 + 0.198465i
\(146\) −3.50506e7 + 1.27574e7i −0.932095 + 0.339255i
\(147\) 3.48270e7 0.904285
\(148\) −3.02913e7 + 8.39782e6i −0.768072 + 0.212937i
\(149\) −3.79371e7 −0.939534 −0.469767 0.882790i \(-0.655662\pi\)
−0.469767 + 0.882790i \(0.655662\pi\)
\(150\) 1.78159e8 6.48447e7i 4.31012 1.56876i
\(151\) 6.34532e7 + 2.30951e7i 1.49980 + 0.545884i 0.956010 0.293335i \(-0.0947652\pi\)
0.543794 + 0.839219i \(0.316987\pi\)
\(152\) 861452. 722844.i 0.0198966 0.0166952i
\(153\) −1.47948e7 8.39055e7i −0.333956 1.89396i
\(154\) −3.68537e7 −0.813127
\(155\) 2.71507e6 + 1.53979e7i 0.0585625 + 0.332125i
\(156\) 3.21963e7 5.57657e7i 0.679001 1.17606i
\(157\) −2.22398e7 1.86614e7i −0.458651 0.384854i 0.383983 0.923340i \(-0.374552\pi\)
−0.842634 + 0.538486i \(0.818996\pi\)
\(158\) 4.53901e7 + 7.86180e7i 0.915507 + 1.58571i
\(159\) 1.27370e7 2.20612e7i 0.251292 0.435250i
\(160\) 1.03901e8 3.78170e7i 2.00540 0.729906i
\(161\) 3.69564e7 3.10101e7i 0.697909 0.585616i
\(162\) −1.45384e8 2.51812e8i −2.68666 4.65344i
\(163\) 9.13476e6 5.18058e7i 0.165212 0.936962i −0.783634 0.621222i \(-0.786636\pi\)
0.948846 0.315739i \(-0.102253\pi\)
\(164\) −9.86284e6 + 5.59349e7i −0.174602 + 0.990215i
\(165\) 1.18460e8 + 9.93998e7i 2.05295 + 1.72263i
\(166\) −5.27890e7 1.92136e7i −0.895705 0.326010i
\(167\) −3.24281e7 1.18029e7i −0.538784 0.196101i 0.0582725 0.998301i \(-0.481441\pi\)
−0.597056 + 0.802200i \(0.703663\pi\)
\(168\) 1.82589e7 + 1.53211e7i 0.297093 + 0.249291i
\(169\) −2.55713e6 + 1.45022e7i −0.0407520 + 0.231116i
\(170\) −1.70473e7 + 9.66802e7i −0.266125 + 1.50927i
\(171\) 8.71734e6 + 1.50989e7i 0.133321 + 0.230918i
\(172\) 3.81374e7 3.20010e7i 0.571480 0.479529i
\(173\) −2.87183e7 + 1.04526e7i −0.421694 + 0.153484i −0.544147 0.838990i \(-0.683146\pi\)
0.122452 + 0.992474i \(0.460924\pi\)
\(174\) −3.17028e7 + 5.49109e7i −0.456221 + 0.790199i
\(175\) −4.55813e7 7.89492e7i −0.642915 1.11356i
\(176\) 5.33445e7 + 4.47613e7i 0.737556 + 0.618883i
\(177\) 9.66132e7 1.67339e8i 1.30957 2.26825i
\(178\) −2.84926e7 1.61589e8i −0.378671 2.14755i
\(179\) 1.90114e7 0.247759 0.123879 0.992297i \(-0.460466\pi\)
0.123879 + 0.992297i \(0.460466\pi\)
\(180\) 5.02223e7 + 2.84825e8i 0.641864 + 3.64019i
\(181\) −5.83917e7 + 4.89965e7i −0.731941 + 0.614172i −0.930660 0.365885i \(-0.880766\pi\)
0.198719 + 0.980057i \(0.436322\pi\)
\(182\) −6.55983e7 2.38758e7i −0.806572 0.293568i
\(183\) 1.64550e8 5.98913e7i 1.98481 0.722413i
\(184\) −2.86177e7 −0.338667
\(185\) 3.58132e7 1.38432e8i 0.415856 1.60745i
\(186\) −4.65390e7 −0.530301
\(187\) −4.79497e7 + 1.74523e7i −0.536216 + 0.195167i
\(188\) −3.86134e7 1.40541e7i −0.423824 0.154259i
\(189\) −1.81732e8 + 1.52491e8i −1.95801 + 1.64296i
\(190\) −3.48844e6 1.97839e7i −0.0368972 0.209254i
\(191\) −7.33990e7 −0.762207 −0.381104 0.924532i \(-0.624456\pi\)
−0.381104 + 0.924532i \(0.624456\pi\)
\(192\) 1.86158e7 + 1.05575e8i 0.189813 + 1.07648i
\(193\) −5.10913e7 + 8.84928e7i −0.511560 + 0.886048i 0.488350 + 0.872648i \(0.337599\pi\)
−0.999910 + 0.0134003i \(0.995734\pi\)
\(194\) −8.00534e7 6.71728e7i −0.787179 0.660522i
\(195\) 1.46458e8 + 2.53673e8i 1.41447 + 2.44993i
\(196\) 1.95054e7 3.37844e7i 0.185037 0.320494i
\(197\) 8.60294e7 3.13121e7i 0.801706 0.291797i 0.0915126 0.995804i \(-0.470830\pi\)
0.710193 + 0.704007i \(0.248608\pi\)
\(198\) −2.59640e8 + 2.17864e8i −2.37708 + 1.99460i
\(199\) 1.59971e7 + 2.77078e7i 0.143898 + 0.249239i 0.928961 0.370177i \(-0.120703\pi\)
−0.785063 + 0.619416i \(0.787370\pi\)
\(200\) −9.39046e6 + 5.32559e7i −0.0830007 + 0.470720i
\(201\) −2.20936e7 + 1.25299e8i −0.191902 + 1.08833i
\(202\) 5.16097e7 + 4.33057e7i 0.440557 + 0.369671i
\(203\) 2.86489e7 + 1.04273e7i 0.240365 + 0.0874858i
\(204\) −1.21787e8 4.43269e7i −1.00438 0.365563i
\(205\) −1.97922e8 1.66076e8i −1.60456 1.34638i
\(206\) 4.19564e7 2.37946e8i 0.334397 1.89646i
\(207\) 7.70446e7 4.36942e8i 0.603735 3.42395i
\(208\) 6.59525e7 + 1.14233e8i 0.508171 + 0.880178i
\(209\) 7.99887e6 6.71185e6i 0.0606061 0.0508546i
\(210\) 4.00121e8 1.45632e8i 2.98142 1.08515i
\(211\) 1.73342e7 3.00237e7i 0.127033 0.220027i −0.795493 0.605963i \(-0.792788\pi\)
0.922526 + 0.385936i \(0.126121\pi\)
\(212\) −1.42672e7 2.47114e7i −0.102840 0.178124i
\(213\) −2.09781e8 1.76027e8i −1.48744 1.24811i
\(214\) −8.82814e7 + 1.52908e8i −0.615774 + 1.06655i
\(215\) 3.93255e7 + 2.23026e8i 0.269861 + 1.53046i
\(216\) 1.40727e8 0.950141
\(217\) 3.88581e6 + 2.20375e7i 0.0258150 + 0.146404i
\(218\) 1.78516e6 1.49793e6i 0.0116702 0.00979249i
\(219\) 2.10491e8 + 7.66124e7i 1.35419 + 0.492884i
\(220\) 1.62770e8 5.92433e7i 1.03061 0.375111i
\(221\) −9.66553e7 −0.602355
\(222\) 3.87274e8 + 1.76530e8i 2.37565 + 1.08289i
\(223\) 2.16581e8 1.30784 0.653918 0.756565i \(-0.273124\pi\)
0.653918 + 0.756565i \(0.273124\pi\)
\(224\) 1.48704e8 5.41237e7i 0.884003 0.321751i
\(225\) −7.87842e8 2.86751e8i −4.61105 1.67829i
\(226\) 1.24586e6 1.04540e6i 0.00717943 0.00602426i
\(227\) 5.41808e6 + 3.07274e7i 0.0307436 + 0.174356i 0.996313 0.0857887i \(-0.0273410\pi\)
−0.965570 + 0.260144i \(0.916230\pi\)
\(228\) 2.65211e7 0.148190
\(229\) 3.01578e7 + 1.71034e8i 0.165949 + 0.941146i 0.948080 + 0.318032i \(0.103022\pi\)
−0.782131 + 0.623114i \(0.785867\pi\)
\(230\) −2.55617e8 + 4.42741e8i −1.38529 + 2.39940i
\(231\) 1.69540e8 + 1.42261e8i 0.904963 + 0.759354i
\(232\) −9.04256e6 1.56622e7i −0.0475427 0.0823463i
\(233\) 5.46875e7 9.47214e7i 0.283232 0.490572i −0.688947 0.724812i \(-0.741927\pi\)
0.972179 + 0.234240i \(0.0752601\pi\)
\(234\) −6.03294e8 + 2.19581e8i −3.07804 + 1.12031i
\(235\) 1.43191e8 1.20151e8i 0.719742 0.603935i
\(236\) −1.08220e8 1.87442e8i −0.535937 0.928271i
\(237\) 9.46672e7 5.36884e8i 0.461934 2.61976i
\(238\) −2.43982e7 + 1.38369e8i −0.117311 + 0.665302i
\(239\) 1.74780e8 + 1.46658e8i 0.828132 + 0.694885i 0.954861 0.297052i \(-0.0960035\pi\)
−0.126729 + 0.991937i \(0.540448\pi\)
\(240\) −7.56041e8 2.75176e8i −3.53025 1.28491i
\(241\) −1.57723e8 5.74066e7i −0.725832 0.264181i −0.0474323 0.998874i \(-0.515104\pi\)
−0.678399 + 0.734693i \(0.737326\pi\)
\(242\) −7.09048e7 5.94962e7i −0.321605 0.269858i
\(243\) −1.67575e8 + 9.50364e8i −0.749181 + 4.24882i
\(244\) 3.40606e7 1.93167e8i 0.150102 0.851273i
\(245\) 8.87286e7 + 1.53682e8i 0.385462 + 0.667641i
\(246\) 5.89115e8 4.94326e8i 2.52306 2.11710i
\(247\) 1.85860e7 6.76476e6i 0.0784778 0.0285636i
\(248\) 6.63714e6 1.14959e7i 0.0276312 0.0478587i
\(249\) 1.68681e8 + 2.92163e8i 0.692417 + 1.19930i
\(250\) 3.18801e8 + 2.67505e8i 1.29041 + 1.08279i
\(251\) 9.59460e7 1.66183e8i 0.382973 0.663329i −0.608512 0.793544i \(-0.708233\pi\)
0.991486 + 0.130215i \(0.0415667\pi\)
\(252\) 7.18783e7 + 4.07642e8i 0.282941 + 1.60464i
\(253\) −2.65725e8 −1.03160
\(254\) −2.39262e7 1.35692e8i −0.0916126 0.519561i
\(255\) 4.51625e8 3.78958e8i 1.70564 1.43120i
\(256\) −3.21785e8 1.17120e8i −1.19874 0.436307i
\(257\) −1.69031e8 + 6.15222e7i −0.621155 + 0.226082i −0.633377 0.773843i \(-0.718332\pi\)
0.0122221 + 0.999925i \(0.496109\pi\)
\(258\) −6.74080e8 −2.44367
\(259\) 5.12560e7 1.98125e8i 0.183314 0.708580i
\(260\) 3.28105e8 1.15773
\(261\) 2.63478e8 9.58981e7i 0.917281 0.333863i
\(262\) 5.45586e8 + 1.98577e8i 1.87417 + 0.682141i
\(263\) 1.58347e8 1.32869e8i 0.536739 0.450378i −0.333682 0.942686i \(-0.608291\pi\)
0.870421 + 0.492308i \(0.163847\pi\)
\(264\) −2.27976e7 1.29291e8i −0.0762561 0.432470i
\(265\) 1.29800e8 0.428464
\(266\) −4.99266e6 2.83148e7i −0.0162647 0.0922417i
\(267\) −4.92685e8 + 8.53355e8i −1.58409 + 2.74372i
\(268\) 1.09174e8 + 9.16078e7i 0.346455 + 0.290710i
\(269\) −1.85272e8 3.20901e8i −0.580334 1.00517i −0.995440 0.0953945i \(-0.969589\pi\)
0.415106 0.909773i \(-0.363745\pi\)
\(270\) 1.25698e9 2.17716e9i 3.88648 6.73159i
\(271\) −5.37494e8 + 1.95632e8i −1.64052 + 0.597100i −0.987129 0.159924i \(-0.948875\pi\)
−0.653388 + 0.757023i \(0.726653\pi\)
\(272\) 2.03374e8 1.70651e8i 0.612779 0.514183i
\(273\) 2.09611e8 + 3.63057e8i 0.623513 + 1.07996i
\(274\) 4.80737e6 2.72640e7i 0.0141183 0.0800686i
\(275\) −8.71935e7 + 4.94499e8i −0.252825 + 1.43384i
\(276\) −5.17015e8 4.33827e8i −1.48020 1.24204i
\(277\) −4.06757e8 1.48047e8i −1.14989 0.418525i −0.304413 0.952540i \(-0.598460\pi\)
−0.845475 + 0.534015i \(0.820682\pi\)
\(278\) −4.11692e8 1.49844e8i −1.14925 0.418294i
\(279\) 1.57653e8 + 1.32286e8i 0.434597 + 0.364670i
\(280\) −2.10896e7 + 1.19605e8i −0.0574137 + 0.325609i
\(281\) −3.87881e7 + 2.19978e8i −0.104286 + 0.591435i 0.887217 + 0.461352i \(0.152636\pi\)
−0.991503 + 0.130083i \(0.958476\pi\)
\(282\) 2.78187e8 + 4.81834e8i 0.738695 + 1.27946i
\(283\) 1.89890e8 1.59337e8i 0.498024 0.417892i −0.358868 0.933388i \(-0.616837\pi\)
0.856891 + 0.515497i \(0.172393\pi\)
\(284\) −2.88249e8 + 1.04914e8i −0.746713 + 0.271781i
\(285\) −6.03210e7 + 1.04479e8i −0.154352 + 0.267345i
\(286\) 1.92253e8 + 3.32993e8i 0.485952 + 0.841693i
\(287\) −2.83266e8 2.37688e8i −0.707306 0.593500i
\(288\) 7.27683e8 1.26038e9i 1.79502 3.10906i
\(289\) −3.74733e7 2.12522e8i −0.0913229 0.517918i
\(290\) −3.23076e8 −0.777880
\(291\) 1.08977e8 + 6.18038e8i 0.259244 + 1.47024i
\(292\) 1.92208e8 1.61281e8i 0.451784 0.379092i
\(293\) 1.27032e8 + 4.62358e7i 0.295037 + 0.107385i 0.485298 0.874349i \(-0.338711\pi\)
−0.190261 + 0.981734i \(0.560933\pi\)
\(294\) −4.96348e8 + 1.80656e8i −1.13912 + 0.414607i
\(295\) 9.84564e8 2.23289
\(296\) −9.88364e7 + 7.04870e7i −0.221511 + 0.157975i
\(297\) 1.30669e9 2.89418
\(298\) 5.40673e8 1.96789e8i 1.18353 0.430768i
\(299\) −4.72982e8 1.72151e8i −1.02328 0.372444i
\(300\) −9.76977e8 + 8.19781e8i −2.08910 + 1.75297i
\(301\) 5.62828e7 + 3.19195e8i 0.118958 + 0.674643i
\(302\) −1.02412e9 −2.13958
\(303\) −7.02563e7 3.98443e8i −0.145090 0.822844i
\(304\) −2.71635e7 + 4.70486e7i −0.0554535 + 0.0960482i
\(305\) 6.83508e8 + 5.73531e8i 1.37941 + 1.15746i
\(306\) 6.46090e8 + 1.11906e9i 1.28905 + 2.23269i
\(307\) −3.59755e8 + 6.23114e8i −0.709614 + 1.22909i 0.255386 + 0.966839i \(0.417798\pi\)
−0.965000 + 0.262249i \(0.915536\pi\)
\(308\) 2.32956e8 8.47891e7i 0.454304 0.165353i
\(309\) −1.11153e9 + 9.32680e8i −2.14321 + 1.79837i
\(310\) −1.18567e8 2.05364e8i −0.226047 0.391525i
\(311\) −3.60833e7 + 2.04638e8i −0.0680212 + 0.385768i 0.931723 + 0.363169i \(0.118305\pi\)
−0.999745 + 0.0225988i \(0.992806\pi\)
\(312\) 4.31832e7 2.44904e8i 0.0804958 0.456515i
\(313\) −5.09234e8 4.27298e8i −0.938669 0.787637i 0.0386841 0.999251i \(-0.487683\pi\)
−0.977353 + 0.211615i \(0.932128\pi\)
\(314\) 4.13759e8 + 1.50596e8i 0.754212 + 0.274511i
\(315\) −1.76938e9 6.44002e8i −3.18958 1.16091i
\(316\) −4.67792e8 3.92524e8i −0.833965 0.699780i
\(317\) 1.75439e8 9.94966e8i 0.309328 1.75429i −0.293070 0.956091i \(-0.594677\pi\)
0.602398 0.798196i \(-0.294212\pi\)
\(318\) −6.70892e7 + 3.80482e8i −0.116992 + 0.663497i
\(319\) −8.39632e7 1.45429e8i −0.144818 0.250832i
\(320\) −4.18448e8 + 3.51120e8i −0.713866 + 0.599005i
\(321\) 9.96375e8 3.62651e8i 1.68134 0.611957i
\(322\) −3.65839e8 + 6.33651e8i −0.610653 + 1.05768i
\(323\) −1.99045e7 3.44755e7i −0.0328656 0.0569249i
\(324\) 1.49833e9 + 1.25725e9i 2.44737 + 2.05359i
\(325\) −4.75565e8 + 8.23703e8i −0.768454 + 1.33100i
\(326\) 1.38542e8 + 7.85711e8i 0.221472 + 1.25603i
\(327\) −1.39946e7 −0.0221332
\(328\) 3.80899e7 + 2.16019e8i 0.0596007 + 0.338012i
\(329\) 2.04934e8 1.71960e8i 0.317270 0.266221i
\(330\) −2.20388e9 8.02147e8i −3.37590 1.22873i
\(331\) −4.70762e8 + 1.71343e8i −0.713515 + 0.259698i −0.673170 0.739488i \(-0.735068\pi\)
−0.0403449 + 0.999186i \(0.512846\pi\)
\(332\) 3.77889e8 0.566737
\(333\) −8.10124e8 1.69882e9i −1.20225 2.52112i
\(334\) 5.23384e8 0.768613
\(335\) −6.09198e8 + 2.21730e8i −0.885323 + 0.322231i
\(336\) −1.08205e9 3.93833e8i −1.55618 0.566402i
\(337\) 8.10770e8 6.80317e8i 1.15397 0.968293i 0.154161 0.988046i \(-0.450732\pi\)
0.999805 + 0.0197531i \(0.00628801\pi\)
\(338\) −3.87825e7 2.19947e8i −0.0546296 0.309820i
\(339\) −9.76682e6 −0.0136162
\(340\) −1.14674e8 6.50346e8i −0.158229 0.897364i
\(341\) 6.16280e7 1.06743e8i 0.0841663 0.145780i
\(342\) −2.02559e8 1.69967e8i −0.273817 0.229760i
\(343\) 4.00488e8 + 6.93665e8i 0.535870 + 0.928155i
\(344\) 9.61335e7 1.66508e8i 0.127327 0.220537i
\(345\) 2.88498e9 1.05005e9i 3.78247 1.37671i
\(346\) 3.55068e8 2.97937e8i 0.460835 0.386686i
\(347\) −7.03164e8 1.21792e9i −0.903448 1.56482i −0.822986 0.568061i \(-0.807694\pi\)
−0.0804620 0.996758i \(-0.525640\pi\)
\(348\) 7.40637e7 4.20036e8i 0.0942059 0.534268i
\(349\) 6.30835e7 3.57764e8i 0.0794377 0.450513i −0.918981 0.394301i \(-0.870987\pi\)
0.998419 0.0562121i \(-0.0179023\pi\)
\(350\) 1.05914e9 + 8.88727e8i 1.32043 + 1.10798i
\(351\) 2.32587e9 + 8.46548e8i 2.87085 + 1.04490i
\(352\) −8.19066e8 2.98115e8i −1.00097 0.364322i
\(353\) 9.47976e7 + 7.95446e7i 0.114706 + 0.0962497i 0.698337 0.715770i \(-0.253924\pi\)
−0.583631 + 0.812019i \(0.698368\pi\)
\(354\) −5.08887e8 + 2.88604e9i −0.609691 + 3.45773i
\(355\) 2.42304e8 1.37417e9i 0.287449 1.63020i
\(356\) 5.51873e8 + 9.55871e8i 0.648282 + 1.12286i
\(357\) 6.46366e8 5.42366e8i 0.751865 0.630890i
\(358\) −2.70947e8 + 9.86167e7i −0.312100 + 0.113595i
\(359\) 1.89972e8 3.29041e8i 0.216700 0.375335i −0.737097 0.675787i \(-0.763804\pi\)
0.953797 + 0.300451i \(0.0971373\pi\)
\(360\) 5.58476e8 + 9.67309e8i 0.630879 + 1.09271i
\(361\) −6.78505e8 5.69333e8i −0.759063 0.636930i
\(362\) 5.78031e8 1.00118e9i 0.640430 1.10926i
\(363\) 9.65228e7 + 5.47408e8i 0.105915 + 0.600673i
\(364\) 4.69585e8 0.510340
\(365\) 1.98196e8 + 1.12402e9i 0.213339 + 1.20990i
\(366\) −2.03447e9 + 1.70712e9i −2.16904 + 1.82004i
\(367\) −8.26219e8 3.00719e8i −0.872497 0.317563i −0.133319 0.991073i \(-0.542563\pi\)
−0.739178 + 0.673510i \(0.764786\pi\)
\(368\) 1.29915e9 4.72853e8i 1.35892 0.494605i
\(369\) −3.40076e9 −3.52358
\(370\) 2.07677e8 + 2.15868e9i 0.213149 + 2.21556i
\(371\) 1.85770e8 0.188872
\(372\) 2.94178e8 1.07072e8i 0.296285 0.107839i
\(373\) −2.63078e8 9.57526e7i −0.262484 0.0955365i 0.207426 0.978251i \(-0.433491\pi\)
−0.469910 + 0.882714i \(0.655714\pi\)
\(374\) 5.92841e8 4.97452e8i 0.585986 0.491701i
\(375\) −4.33983e8 2.46124e9i −0.424975 2.41015i
\(376\) −1.58694e8 −0.153958
\(377\) −5.52351e7 3.13254e8i −0.0530909 0.301094i
\(378\) 1.79900e9 3.11596e9i 1.71321 2.96736i
\(379\) 9.56196e7 + 8.02343e7i 0.0902214 + 0.0757047i 0.686783 0.726863i \(-0.259022\pi\)
−0.596561 + 0.802567i \(0.703467\pi\)
\(380\) 6.75675e7 + 1.17030e8i 0.0631678 + 0.109410i
\(381\) −4.13724e8 + 7.16591e8i −0.383242 + 0.663795i
\(382\) 1.04607e9 3.80738e8i 0.960148 0.349465i
\(383\) 3.96736e8 3.32901e8i 0.360833 0.302774i −0.444290 0.895883i \(-0.646544\pi\)
0.805122 + 0.593109i \(0.202100\pi\)
\(384\) 5.75842e8 + 9.97387e8i 0.518972 + 0.898886i
\(385\) −1.95824e8 + 1.11057e9i −0.174885 + 0.991825i
\(386\) 2.69111e8 1.52620e9i 0.238164 1.35070i
\(387\) 2.28347e9 + 1.91606e9i 2.00266 + 1.68043i
\(388\) 6.60570e8 + 2.40428e8i 0.574127 + 0.208965i
\(389\) 7.56285e8 + 2.75265e8i 0.651421 + 0.237098i 0.646528 0.762890i \(-0.276220\pi\)
0.00489300 + 0.999988i \(0.498443\pi\)
\(390\) −3.40316e9 2.85559e9i −2.90507 2.43764i
\(391\) −1.75917e8 + 9.97677e8i −0.148830 + 0.844056i
\(392\) 2.61616e7 1.48370e8i 0.0219363 0.124407i
\(393\) −1.74335e9 3.01957e9i −1.44881 2.50941i
\(394\) −1.06365e9 + 8.92509e8i −0.876117 + 0.735150i
\(395\) 2.61031e9 9.50076e8i 2.13109 0.775655i
\(396\) 1.13997e9 1.97449e9i 0.922490 1.59780i
\(397\) 9.01207e8 + 1.56094e9i 0.722866 + 1.25204i 0.959846 + 0.280526i \(0.0905090\pi\)
−0.236980 + 0.971515i \(0.576158\pi\)
\(398\) −3.71714e8 3.11905e8i −0.295542 0.247989i
\(399\) −8.63315e7 + 1.49531e8i −0.0680400 + 0.117849i
\(400\) −4.53655e8 2.57281e9i −0.354418 2.01000i
\(401\) 1.56319e9 1.21061 0.605306 0.795993i \(-0.293051\pi\)
0.605306 + 0.795993i \(0.293051\pi\)
\(402\) −3.35081e8 1.90034e9i −0.257252 1.45895i
\(403\) 1.78850e8 1.50073e8i 0.136120 0.114218i
\(404\) −4.25864e8 1.55002e8i −0.321319 0.116950i
\(405\) −8.36078e9 + 3.04307e9i −6.25395 + 2.27625i
\(406\) −4.62388e8 −0.342898
\(407\) −9.17730e8 + 6.54496e8i −0.674737 + 0.481201i
\(408\) −5.00523e8 −0.364849
\(409\) 2.89711e7 1.05446e7i 0.0209379 0.00762079i −0.331530 0.943445i \(-0.607565\pi\)
0.352468 + 0.935824i \(0.385343\pi\)
\(410\) 3.68222e9 + 1.34022e9i 2.63855 + 0.960355i
\(411\) −1.27359e8 + 1.06867e8i −0.0904863 + 0.0759271i
\(412\) 2.82231e8 + 1.60061e9i 0.198822 + 1.12758i
\(413\) 1.40911e9 0.984282
\(414\) 1.16849e9 + 6.62686e9i 0.809329 + 4.58993i
\(415\) −8.59493e8 + 1.48869e9i −0.590302 + 1.02243i
\(416\) −1.26477e9 1.06127e9i −0.861363 0.722769i
\(417\) 1.31551e9 + 2.27853e9i 0.888419 + 1.53879i
\(418\) −7.91824e7 + 1.37148e8i −0.0530288 + 0.0918486i
\(419\) −6.25864e7 + 2.27796e7i −0.0415653 + 0.0151285i −0.362719 0.931899i \(-0.618152\pi\)
0.321154 + 0.947027i \(0.395929\pi\)
\(420\) −2.19415e9 + 1.84111e9i −1.44509 + 1.21257i
\(421\) −1.30888e9 2.26705e9i −0.854894 1.48072i −0.876743 0.480959i \(-0.840289\pi\)
0.0218489 0.999761i \(-0.493045\pi\)
\(422\) −9.13036e7 + 5.17808e8i −0.0591418 + 0.335410i
\(423\) 4.27236e8 2.42297e9i 0.274458 1.55653i
\(424\) −8.44169e7 7.08342e7i −0.0537835 0.0451297i
\(425\) 1.79889e9 + 6.54744e8i 1.13670 + 0.413724i
\(426\) 3.90286e9 + 1.42052e9i 2.44596 + 0.890256i
\(427\) 9.78238e8 + 8.20839e8i 0.608061 + 0.510223i
\(428\) 2.06242e8 1.16966e9i 0.127152 0.721116i
\(429\) 4.00970e8 2.27401e9i 0.245195 1.39057i
\(430\) −1.71735e9 2.97454e9i −1.04164 1.80418i
\(431\) −1.14251e9 + 9.58677e8i −0.687367 + 0.576769i −0.918149 0.396236i \(-0.870316\pi\)
0.230782 + 0.973006i \(0.425872\pi\)
\(432\) −6.38853e9 + 2.32524e9i −3.81248 + 1.38763i
\(433\) 1.35439e9 2.34587e9i 0.801744 1.38866i −0.116723 0.993164i \(-0.537239\pi\)
0.918467 0.395497i \(-0.129428\pi\)
\(434\) −1.69694e8 2.93918e8i −0.0996440 0.172589i
\(435\) 1.48627e9 + 1.24713e9i 0.865734 + 0.726437i
\(436\) −7.83791e6 + 1.35757e7i −0.00452895 + 0.00784438i
\(437\) −3.59984e7 2.04157e8i −0.0206347 0.117025i
\(438\) −3.39728e9 −1.93184
\(439\) −9.72046e7 5.51275e8i −0.0548354 0.310987i 0.945037 0.326964i \(-0.106025\pi\)
−0.999872 + 0.0159765i \(0.994914\pi\)
\(440\) 5.12448e8 4.29995e8i 0.286791 0.240646i
\(441\) 2.19491e9 + 7.98881e8i 1.21866 + 0.443555i
\(442\) 1.37751e9 5.01374e8i 0.758783 0.276175i
\(443\) 3.64181e8 0.199024 0.0995118 0.995036i \(-0.468272\pi\)
0.0995118 + 0.995036i \(0.468272\pi\)
\(444\) −2.85414e9 2.24863e8i −1.54752 0.121921i
\(445\) −5.02084e9 −2.70095
\(446\) −3.08667e9 + 1.12346e9i −1.64747 + 0.599631i
\(447\) −3.24692e9 1.18178e9i −1.71948 0.625838i
\(448\) −5.98884e8 + 5.02523e8i −0.314680 + 0.264048i
\(449\) 2.84628e8 + 1.61420e9i 0.148393 + 0.841581i 0.964580 + 0.263792i \(0.0849733\pi\)
−0.816186 + 0.577789i \(0.803916\pi\)
\(450\) 1.27156e10 6.57800
\(451\) 3.53677e8 + 2.00580e9i 0.181547 + 1.02961i
\(452\) −5.47007e6 + 9.47444e6i −0.00278617 + 0.00482580i
\(453\) 4.71133e9 + 3.95328e9i 2.38122 + 1.99808i
\(454\) −2.36608e8 4.09817e8i −0.118668 0.205539i
\(455\) −1.06805e9 + 1.84992e9i −0.531560 + 0.920688i
\(456\) 9.62465e7 3.50308e7i 0.0475344 0.0173011i
\(457\) 1.08161e9 9.07577e8i 0.530107 0.444812i −0.338031 0.941135i \(-0.609761\pi\)
0.868138 + 0.496322i \(0.165317\pi\)
\(458\) −1.31699e9 2.28110e9i −0.640552 1.10947i
\(459\) 8.65067e8 4.90604e9i 0.417547 2.36803i
\(460\) 5.97168e8 3.38671e9i 0.286051 1.62228i
\(461\) 1.10875e8 + 9.30350e7i 0.0527084 + 0.0442276i 0.668761 0.743477i \(-0.266825\pi\)
−0.616053 + 0.787705i \(0.711269\pi\)
\(462\) −3.15420e9 1.14803e9i −1.48813 0.541636i
\(463\) −7.41036e8 2.69715e8i −0.346981 0.126291i 0.162650 0.986684i \(-0.447996\pi\)
−0.509631 + 0.860393i \(0.670218\pi\)
\(464\) 6.69290e8 + 5.61601e8i 0.311030 + 0.260985i
\(465\) −2.47288e8 + 1.40244e9i −0.114056 + 0.646842i
\(466\) −2.88053e8 + 1.63363e9i −0.131863 + 0.747830i
\(467\) 1.15347e9 + 1.99787e9i 0.524080 + 0.907734i 0.999607 + 0.0280326i \(0.00892421\pi\)
−0.475527 + 0.879701i \(0.657742\pi\)
\(468\) 3.30830e9 2.77599e9i 1.49191 1.25187i
\(469\) −8.71885e8 + 3.17340e8i −0.390260 + 0.142043i
\(470\) −1.41747e9 + 2.45513e9i −0.629755 + 1.09077i
\(471\) −1.32211e9 2.28997e9i −0.583037 1.00985i
\(472\) −6.40322e8 5.37294e8i −0.280286 0.235188i
\(473\) 8.92632e8 1.54608e9i 0.387845 0.671767i
\(474\) 1.43577e9 + 8.14263e9i 0.619241 + 3.51189i
\(475\) −3.91737e8 −0.167713
\(476\) −1.64121e8 9.30777e8i −0.0697493 0.395568i
\(477\) 1.30878e9 1.09820e9i 0.552144 0.463303i
\(478\) −3.25168e9 1.18352e9i −1.36179 0.495652i
\(479\) −2.95940e9 + 1.07714e9i −1.23035 + 0.447812i −0.873719 0.486432i \(-0.838298\pi\)
−0.356635 + 0.934244i \(0.616076\pi\)
\(480\) 1.00706e10 4.15635
\(481\) −2.05755e9 + 5.70425e8i −0.843027 + 0.233717i
\(482\) 2.54562e9 1.03545
\(483\) 4.12899e9 1.50283e9i 1.66736 0.606868i
\(484\) 5.85080e8 + 2.12952e8i 0.234561 + 0.0853733i
\(485\) −2.44960e9 + 2.05546e9i −0.974986 + 0.818111i
\(486\) −2.54152e9 1.44137e10i −1.00431 5.69570i
\(487\) 1.22228e9 0.479535 0.239767 0.970830i \(-0.422929\pi\)
0.239767 + 0.970830i \(0.422929\pi\)
\(488\) −1.31541e8 7.46004e8i −0.0512378 0.290584i
\(489\) 2.39563e9 4.14934e9i 0.926484 1.60472i
\(490\) −2.06173e9 1.73000e9i −0.791672 0.664292i
\(491\) −2.19432e9 3.80067e9i −0.836593 1.44902i −0.892727 0.450599i \(-0.851211\pi\)
0.0561333 0.998423i \(-0.482123\pi\)
\(492\) −2.58657e9 + 4.48006e9i −0.979142 + 1.69592i
\(493\) −6.01604e8 + 2.18966e8i −0.226124 + 0.0823024i
\(494\) −2.29794e8 + 1.92820e8i −0.0857619 + 0.0719628i
\(495\) 5.18564e9 + 8.98179e9i 1.92169 + 3.32847i
\(496\) −1.11358e8 + 6.31541e8i −0.0409764 + 0.232389i
\(497\) 3.46785e8 1.96672e9i 0.126711 0.718613i
\(498\) −3.91952e9 3.28887e9i −1.42210 1.19329i
\(499\) −1.25066e8 4.55204e7i −0.0450597 0.0164004i 0.319392 0.947623i \(-0.396521\pi\)
−0.364452 + 0.931222i \(0.618744\pi\)
\(500\) −2.63062e9 9.57468e8i −0.941159 0.342554i
\(501\) −2.40775e9 2.02034e9i −0.855421 0.717784i
\(502\) −5.05372e8 + 2.86611e9i −0.178299 + 1.01118i
\(503\) −6.78482e8 + 3.84786e9i −0.237712 + 1.34813i 0.599115 + 0.800663i \(0.295519\pi\)
−0.836827 + 0.547467i \(0.815592\pi\)
\(504\) 7.99292e8 + 1.38441e9i 0.278099 + 0.481681i
\(505\) 1.57923e9 1.32513e9i 0.545666 0.457868i
\(506\) 3.78706e9 1.37838e9i 1.29950 0.472979i
\(507\) −6.70616e8 + 1.16154e9i −0.228531 + 0.395828i
\(508\) 4.63426e8 + 8.02677e8i 0.156840 + 0.271655i
\(509\) −1.71729e9 1.44098e9i −0.577206 0.484333i 0.306822 0.951767i \(-0.400734\pi\)
−0.884028 + 0.467433i \(0.845179\pi\)
\(510\) −4.47073e9 + 7.74352e9i −1.49239 + 2.58490i
\(511\) 2.83658e8 + 1.60871e9i 0.0940421 + 0.533339i
\(512\) 3.57502e9 1.17716
\(513\) 1.77021e8 + 1.00394e9i 0.0578914 + 0.328318i
\(514\) 2.08986e9 1.75360e9i 0.678808 0.569588i
\(515\) −6.94750e9 2.52868e9i −2.24132 0.815772i
\(516\) 4.26093e9 1.55085e9i 1.36531 0.496931i
\(517\) −1.47353e9 −0.468966
\(518\) 2.97228e8 + 3.08951e9i 0.0939584 + 0.976642i
\(519\) −2.78353e9 −0.873996
\(520\) 1.19071e9 4.33384e8i 0.371360 0.135164i
\(521\) −1.23325e9 4.48867e8i −0.382050 0.139055i 0.143854 0.989599i \(-0.454050\pi\)
−0.525903 + 0.850544i \(0.676273\pi\)
\(522\) −3.25759e9 + 2.73344e9i −1.00242 + 0.841130i
\(523\) 8.95395e8 + 5.07804e9i 0.273690 + 1.55217i 0.743093 + 0.669188i \(0.233358\pi\)
−0.469403 + 0.882984i \(0.655531\pi\)
\(524\) −3.90557e9 −1.18584
\(525\) −1.44181e9 8.17693e9i −0.434862 2.46623i
\(526\) −1.56750e9 + 2.71500e9i −0.469633 + 0.813428i
\(527\) −3.59971e8 3.02052e8i −0.107135 0.0898968i
\(528\) 3.17123e9 + 5.49273e9i 0.937581 + 1.62394i
\(529\) −9.35385e8 + 1.62013e9i −0.274723 + 0.475835i
\(530\) −1.84989e9 + 6.73304e8i −0.539734 + 0.196447i
\(531\) 9.92739e9 8.33007e9i 2.87743 2.41445i
\(532\) 9.67028e7 + 1.67494e8i 0.0278451 + 0.0482291i
\(533\) −6.69936e8 + 3.79940e9i −0.191641 + 1.08685i
\(534\) 2.59510e9 1.47175e10i 0.737495 4.18254i
\(535\) 4.13874e9 + 3.47282e9i 1.16850 + 0.980491i
\(536\) 5.17200e8 + 1.88245e8i 0.145071 + 0.0528017i
\(537\) 1.62713e9 + 5.92227e8i 0.453432 + 0.165036i
\(538\) 4.30506e9 + 3.61237e9i 1.19190 + 1.00013i
\(539\) 2.42919e8 1.37766e9i 0.0668191 0.378950i
\(540\) −2.93655e9 + 1.66540e10i −0.802526 + 4.55135i
\(541\) −1.00297e8 1.73720e8i −0.0272332 0.0471693i 0.852088 0.523399i \(-0.175336\pi\)
−0.879321 + 0.476230i \(0.842003\pi\)
\(542\) 6.64547e9 5.57621e9i 1.79278 1.50433i
\(543\) −6.52387e9 + 2.37449e9i −1.74866 + 0.636461i
\(544\) −1.66153e9 + 2.87786e9i −0.442499 + 0.766431i
\(545\) −3.56540e7 6.17545e7i −0.00943453 0.0163411i
\(546\) −4.87060e9 4.08692e9i −1.28059 1.07454i
\(547\) 2.91228e9 5.04422e9i 0.760813 1.31777i −0.181618 0.983369i \(-0.558134\pi\)
0.942432 0.334398i \(-0.108533\pi\)
\(548\) 3.23382e7 + 1.83399e8i 0.00839428 + 0.0476063i
\(549\) 1.17443e10 3.02917
\(550\) −1.32242e9 7.49980e9i −0.338921 1.92212i
\(551\) 1.00358e8 8.42107e7i 0.0255578 0.0214455i
\(552\) −2.44931e9 8.91474e8i −0.619806 0.225591i
\(553\) 3.73588e9 1.35975e9i 0.939410 0.341917i
\(554\) 6.56497e9 1.64040
\(555\) 7.37747e9 1.07324e10i 1.83182 2.66484i
\(556\) 2.94709e9 0.727163
\(557\) −6.21197e9 + 2.26097e9i −1.52313 + 0.554373i −0.961927 0.273307i \(-0.911883\pi\)
−0.561201 + 0.827680i \(0.689660\pi\)
\(558\) −2.93304e9 1.06754e9i −0.714657 0.260114i
\(559\) 2.59049e9 2.17368e9i 0.627250 0.526325i
\(560\) −1.01884e9 5.77815e9i −0.245160 1.39037i
\(561\) −4.64752e9 −1.11135
\(562\) −5.88278e8 3.33629e9i −0.139799 0.792841i
\(563\) 8.43436e6 1.46087e7i 0.00199192 0.00345012i −0.865028 0.501724i \(-0.832699\pi\)
0.867020 + 0.498274i \(0.166033\pi\)
\(564\) −2.86700e9 2.40570e9i −0.672902 0.564632i
\(565\) −2.48829e7 4.30984e7i −0.00580405 0.0100529i
\(566\) −1.87976e9 + 3.25584e9i −0.435758 + 0.754755i
\(567\) −1.19660e10 + 4.35525e9i −2.75681 + 1.00340i
\(568\) −9.07495e8 + 7.61479e8i −0.207790 + 0.174357i
\(569\) −3.14445e9 5.44634e9i −0.715569 1.23940i −0.962740 0.270430i \(-0.912834\pi\)
0.247171 0.968972i \(-0.420499\pi\)
\(570\) 3.17726e8 1.80191e9i 0.0718606 0.407542i
\(571\) −8.08034e8 + 4.58259e9i −0.181637 + 1.03011i 0.748565 + 0.663062i \(0.230743\pi\)
−0.930201 + 0.367050i \(0.880368\pi\)
\(572\) −1.98137e9 1.66257e9i −0.442669 0.371443i
\(573\) −6.28200e9 2.28646e9i −1.39494 0.507718i
\(574\) 5.26999e9 + 1.91812e9i 1.16310 + 0.423335i
\(575\) 7.63672e9 + 6.40797e9i 1.67521 + 1.40567i
\(576\) −1.24852e9 + 7.08070e9i −0.272218 + 1.54382i
\(577\) −9.91407e8 + 5.62255e9i −0.214851 + 1.21848i 0.666315 + 0.745671i \(0.267871\pi\)
−0.881165 + 0.472808i \(0.843240\pi\)
\(578\) 1.63646e9 + 2.83444e9i 0.352499 + 0.610547i
\(579\) −7.12940e9 + 5.98228e9i −1.52643 + 1.28083i
\(580\) 2.04220e9 7.43300e8i 0.434611 0.158185i
\(581\) −1.23011e9 + 2.13061e9i −0.260212 + 0.450700i
\(582\) −4.75902e9 8.24287e9i −1.00066 1.73320i
\(583\) −7.83839e8 6.57719e8i −0.163828 0.137468i
\(584\) 4.84501e8 8.39180e8i 0.100658 0.174345i
\(585\) 3.41137e9 + 1.93468e10i 0.704503 + 3.99544i
\(586\) −2.05027e9 −0.420891
\(587\) 1.20865e9 + 6.85457e9i 0.246641 + 1.39877i 0.816650 + 0.577133i \(0.195829\pi\)
−0.570009 + 0.821639i \(0.693060\pi\)
\(588\) 2.72183e9 2.28389e9i 0.552129 0.463292i
\(589\) 9.03597e7 + 3.28882e7i 0.0182210 + 0.00663189i
\(590\) −1.40318e10 + 5.10716e9i −2.81275 + 1.02376i
\(591\) 8.33840e9 1.66160
\(592\) 3.32219e9 4.83296e9i 0.658111 0.957387i
\(593\) 4.02753e8 0.0793135 0.0396567 0.999213i \(-0.487374\pi\)
0.0396567 + 0.999213i \(0.487374\pi\)
\(594\) −1.86227e10 + 6.77813e9i −3.64579 + 1.32696i
\(595\) 4.04006e9 + 1.47046e9i 0.786282 + 0.286183i
\(596\) −2.96490e9 + 2.48785e9i −0.573651 + 0.481351i
\(597\) 5.06015e8 + 2.86975e9i 0.0973314 + 0.551994i
\(598\) 7.63384e9 1.45978
\(599\) 5.65967e8 + 3.20976e9i 0.107596 + 0.610209i 0.990152 + 0.140000i \(0.0447103\pi\)
−0.882555 + 0.470209i \(0.844179\pi\)
\(600\) −2.46268e9 + 4.26549e9i −0.465456 + 0.806194i
\(601\) 4.08352e9 + 3.42648e9i 0.767316 + 0.643854i 0.940020 0.341120i \(-0.110806\pi\)
−0.172704 + 0.984974i \(0.555251\pi\)
\(602\) −2.45787e9 4.25716e9i −0.459168 0.795302i
\(603\) −4.26658e9 + 7.38993e9i −0.792445 + 1.37255i
\(604\) 6.47359e9 2.35619e9i 1.19541 0.435093i
\(605\) −2.16966e9 + 1.82056e9i −0.398334 + 0.334242i
\(606\) 3.06810e9 + 5.31410e9i 0.560035 + 0.970009i
\(607\) 8.96393e7 5.08370e8i 0.0162681 0.0922612i −0.975593 0.219588i \(-0.929529\pi\)
0.991861 + 0.127327i \(0.0406397\pi\)
\(608\) 1.18082e8 6.69676e8i 0.0213069 0.120838i
\(609\) 2.12715e9 + 1.78489e9i 0.381625 + 0.320222i
\(610\) −1.27163e10 4.62834e9i −2.26832 0.825603i
\(611\) −2.62283e9 9.54632e8i −0.465185 0.169313i
\(612\) −6.65862e9 5.58725e9i −1.17423 0.985299i
\(613\) 2.12050e7 1.20259e8i 0.00371815 0.0210867i −0.982892 0.184182i \(-0.941037\pi\)
0.986610 + 0.163095i \(0.0521477\pi\)
\(614\) 1.89492e9 1.07466e10i 0.330371 1.87363i
\(615\) −1.17661e10 2.03794e10i −2.03971 3.53288i
\(616\) 7.33416e8 6.15409e8i 0.126421 0.106079i
\(617\) −6.58483e7 + 2.39668e7i −0.0112862 + 0.00410783i −0.347657 0.937622i \(-0.613023\pi\)
0.336371 + 0.941730i \(0.390800\pi\)
\(618\) 1.10032e10 1.90581e10i 1.87525 3.24803i
\(619\) 3.45833e9 + 5.99000e9i 0.586069 + 1.01510i 0.994741 + 0.102420i \(0.0326587\pi\)
−0.408672 + 0.912681i \(0.634008\pi\)
\(620\) 1.22196e9 + 1.02534e9i 0.205914 + 0.172782i
\(621\) 1.29713e10 2.24669e10i 2.17351 3.76463i
\(622\) −5.47255e8 3.10364e9i −0.0911850 0.517136i
\(623\) −7.18584e9 −1.19061
\(624\) 2.08619e9 + 1.18314e10i 0.343722 + 1.94935i
\(625\) 1.54103e9 1.29308e9i 0.252483 0.211859i
\(626\) 9.47401e9 + 3.44826e9i 1.54356 + 0.561810i
\(627\) 8.93681e8 3.25273e8i 0.144792 0.0527001i
\(628\) −2.96189e9 −0.477210
\(629\) 1.84977e9 + 3.87895e9i 0.296374 + 0.621494i
\(630\) 2.85575e10 4.55017
\(631\) 4.87439e9 1.77413e9i 0.772356 0.281115i 0.0743745 0.997230i \(-0.476304\pi\)
0.697981 + 0.716116i \(0.254082\pi\)
\(632\) −2.21612e9 8.06601e8i −0.349207 0.127101i
\(633\) 2.41885e9 2.02966e9i 0.379050 0.318061i
\(634\) 2.66079e9 + 1.50901e10i 0.414666 + 2.35169i
\(635\) −4.21617e9 −0.653446
\(636\) −4.51294e8 2.55942e9i −0.0695600 0.394494i
\(637\) 1.32491e9 2.29482e9i 0.203095 0.351771i
\(638\) 1.95100e9 + 1.63708e9i 0.297430 + 0.249573i
\(639\) −9.18326e9 1.59059e10i −1.39234 2.41160i
\(640\) −2.93414e9 + 5.08207e9i −0.442436 + 0.766322i
\(641\) −1.02934e10 + 3.74650e9i −1.54368 + 0.561852i −0.966924 0.255066i \(-0.917903\pi\)
−0.576753 + 0.816918i \(0.695681\pi\)
\(642\) −1.23190e10 + 1.03369e10i −1.83740 + 1.54176i
\(643\) −2.01116e9 3.48343e9i −0.298338 0.516736i 0.677418 0.735598i \(-0.263099\pi\)
−0.975756 + 0.218862i \(0.929766\pi\)
\(644\) 8.54668e8 4.84706e9i 0.126095 0.715118i
\(645\) −3.58176e9 + 2.03132e10i −0.525578 + 2.98070i
\(646\) 4.62507e8 + 3.88090e8i 0.0675001 + 0.0566393i
\(647\) 6.31871e9 + 2.29982e9i 0.917198 + 0.333833i 0.757123 0.653272i \(-0.226604\pi\)
0.160075 + 0.987105i \(0.448826\pi\)
\(648\) 7.09818e9 + 2.58353e9i 1.02479 + 0.372993i
\(649\) −5.94560e9 4.98895e9i −0.853767 0.716395i
\(650\) 2.50492e9 1.42061e10i 0.357765 2.02898i
\(651\) −3.53919e8 + 2.00717e9i −0.0502771 + 0.285135i
\(652\) −2.68342e9 4.64782e9i −0.379159 0.656723i
\(653\) 3.05997e9 2.56762e9i 0.430052 0.360857i −0.401919 0.915675i \(-0.631657\pi\)
0.831971 + 0.554818i \(0.187212\pi\)
\(654\) 1.99449e8 7.25934e7i 0.0278810 0.0101479i
\(655\) 8.88305e9 1.53859e10i 1.23514 2.13933i
\(656\) −5.29845e9 9.17718e9i −0.732800 1.26925i
\(657\) 1.15084e10 + 9.65671e9i 1.58320 + 1.32847i
\(658\) −2.02869e9 + 3.51379e9i −0.277603 + 0.480823i
\(659\) −1.84828e9 1.04821e10i −0.251576 1.42676i −0.804710 0.593668i \(-0.797679\pi\)
0.553134 0.833092i \(-0.313432\pi\)
\(660\) 1.57765e10 2.13602
\(661\) −6.17056e8 3.49950e9i −0.0831036 0.471304i −0.997750 0.0670485i \(-0.978642\pi\)
0.914646 0.404255i \(-0.132469\pi\)
\(662\) 5.82041e9 4.88390e9i 0.779741 0.654281i
\(663\) −8.27244e9 3.01092e9i −1.10239 0.401238i
\(664\) 1.37138e9 4.99142e8i 0.181790 0.0661662i
\(665\) −8.79785e8 −0.116011
\(666\) 2.03579e10 + 2.00090e10i 2.67038 + 2.62461i
\(667\) −3.33394e9 −0.435028
\(668\) −3.30836e9 + 1.20415e9i −0.429433 + 0.156301i
\(669\) 1.85365e10 + 6.74674e9i 2.39352 + 0.871170i
\(670\) 7.53201e9 6.32010e9i 0.967495 0.811825i
\(671\) −1.22140e9 6.92690e9i −0.156073 0.885136i
\(672\) 1.44131e10 1.83217
\(673\) −1.53332e9 8.69589e9i −0.193901 1.09967i −0.913975 0.405770i \(-0.867003\pi\)
0.720074 0.693897i \(-0.244108\pi\)
\(674\) −8.02598e9 + 1.39014e10i −1.00969 + 1.74884i
\(675\) −3.75533e10 3.15109e10i −4.69986 3.94365i
\(676\) 7.51179e8 + 1.30108e9i 0.0935254 + 0.161991i
\(677\) 3.25029e9 5.62966e9i 0.402588 0.697304i −0.591449 0.806342i \(-0.701444\pi\)
0.994038 + 0.109039i \(0.0347772\pi\)
\(678\) 1.39195e8 5.06628e7i 0.0171522 0.00624288i
\(679\) −3.50587e9 + 2.94177e9i −0.429785 + 0.360632i
\(680\) −1.27518e9 2.20868e9i −0.155521 0.269371i
\(681\) −4.93477e8 + 2.79865e9i −0.0598759 + 0.339573i
\(682\) −3.24611e8 + 1.84096e9i −0.0391848 + 0.222228i
\(683\) 1.06946e10 + 8.97385e9i 1.28438 + 1.07772i 0.992625 + 0.121228i \(0.0386831\pi\)
0.291753 + 0.956494i \(0.405761\pi\)
\(684\) 1.67144e9 + 6.08355e8i 0.199708 + 0.0726876i
\(685\) −7.96047e8 2.89737e8i −0.0946284 0.0344419i
\(686\) −9.30588e9 7.80856e9i −1.10058 0.923499i
\(687\) −2.74677e9 + 1.55777e10i −0.323201 + 1.83297i
\(688\) −1.61292e9 + 9.14735e9i −0.188823 + 1.07087i
\(689\) −9.69101e8 1.67853e9i −0.112876 0.195507i
\(690\) −3.56693e10 + 2.99301e10i −4.13355 + 3.46846i
\(691\) 4.36281e9 1.58793e9i 0.503029 0.183088i −0.0780269 0.996951i \(-0.524862\pi\)
0.581056 + 0.813864i \(0.302640\pi\)
\(692\) −1.55896e9 + 2.70020e9i −0.178840 + 0.309759i
\(693\) 7.42170e9 + 1.28548e10i 0.847104 + 1.46723i
\(694\) 1.63390e10 + 1.37100e10i 1.85552 + 1.55697i
\(695\) −6.70303e9 + 1.16100e10i −0.757399 + 1.31185i
\(696\) −2.86031e8 1.62216e9i −0.0321574 0.182374i
\(697\) 7.76503e9 0.868617
\(698\) 9.56753e8 + 5.42601e9i 0.106489 + 0.603931i
\(699\) 7.63121e9 6.40335e9i 0.845130 0.709148i
\(700\) −8.73965e9 3.18097e9i −0.963055 0.350523i
\(701\) −8.99793e9 + 3.27498e9i −0.986574 + 0.359084i −0.784393 0.620264i \(-0.787025\pi\)
−0.202181 + 0.979348i \(0.564803\pi\)
\(702\) −3.75391e10 −4.09547
\(703\) −6.27177e8 6.16427e8i −0.0680843 0.0669173i
\(704\) 4.30612e9 0.465138
\(705\) 1.59981e10 5.82283e9i 1.71952 0.625852i
\(706\) −1.76365e9 6.41918e8i −0.188624 0.0686535i
\(707\) 2.26020e9 1.89653e9i 0.240536 0.201833i
\(708\) −3.42317e9 1.94138e10i −0.362503 2.05586i
\(709\) −1.52325e10 −1.60512 −0.802561 0.596570i \(-0.796530\pi\)
−0.802561 + 0.596570i \(0.796530\pi\)
\(710\) 3.67489e9 + 2.08413e10i 0.385336 + 2.18535i
\(711\) 1.82816e10 3.16646e10i 1.90752 3.30393i
\(712\) 3.26536e9 + 2.73996e9i 0.339040 + 0.284488i
\(713\) −1.22354e9 2.11923e9i −0.126416 0.218960i
\(714\) −6.39851e9 + 1.10825e10i −0.657862 + 1.13945i
\(715\) 1.10562e10 4.02412e9i 1.13119 0.411718i
\(716\) 1.48580e9 1.24673e9i 0.151274 0.126934i
\(717\) 1.03903e10 + 1.79966e10i 1.05272 + 1.82337i
\(718\) −1.00063e9 + 5.67486e9i −0.100888 + 0.572163i
\(719\) −2.25682e9 + 1.27991e10i −0.226436 + 1.28418i 0.633484 + 0.773756i \(0.281624\pi\)
−0.859920 + 0.510428i \(0.829487\pi\)
\(720\) −4.13359e10 3.46850e10i −4.12728 3.46320i
\(721\) −9.94327e9 3.61905e9i −0.987997 0.359602i
\(722\) 1.26232e10 + 4.59447e9i 1.24821 + 0.454313i
\(723\) −1.17108e10 9.82651e9i −1.15240 0.966975i
\(724\) −1.35039e9 + 7.65844e9i −0.132243 + 0.749989i
\(725\) −1.09398e9 + 6.20427e9i −0.106617 + 0.604655i
\(726\) −4.21516e9 7.30087e9i −0.408823 0.708103i
\(727\) 1.38329e10 1.16072e10i 1.33519 1.12036i 0.352352 0.935867i \(-0.385382\pi\)
0.982835 0.184488i \(-0.0590626\pi\)
\(728\) 1.70415e9 6.20260e8i 0.163700 0.0595819i
\(729\) −2.29828e10 + 3.98074e10i −2.19713 + 3.80555i
\(730\) −8.65523e9 1.49913e10i −0.823471 1.42629i
\(731\) −5.21389e9 4.37497e9i −0.493686 0.414252i
\(732\) 8.93252e9 1.54716e10i 0.841754 1.45796i
\(733\) −1.56392e9 8.86942e9i −0.146673 0.831823i −0.966009 0.258509i \(-0.916769\pi\)
0.819336 0.573314i \(-0.194342\pi\)
\(734\) 1.33350e10 1.24468
\(735\) 2.80663e9 + 1.59172e10i 0.260723 + 1.47864i
\(736\) −1.32564e10 + 1.11234e10i −1.22561 + 1.02841i
\(737\) 4.80238e9 + 1.74792e9i 0.441896 + 0.160837i
\(738\) 4.84670e10 1.76406e10i 4.43863 1.61553i
\(739\) −4.26332e9 −0.388591 −0.194295 0.980943i \(-0.562242\pi\)
−0.194295 + 0.980943i \(0.562242\pi\)
\(740\) −6.27922e9 1.31675e10i −0.569632 1.19451i
\(741\) 1.80145e9 0.162652
\(742\) −2.64756e9 + 9.63633e8i −0.237921 + 0.0865961i
\(743\) 1.32875e8 + 4.83625e7i 0.0118845 + 0.00432562i 0.347956 0.937511i \(-0.386876\pi\)
−0.336071 + 0.941837i \(0.609098\pi\)
\(744\) 9.26161e8 7.77142e8i 0.0824482 0.0691823i
\(745\) −3.05727e9 1.73386e10i −0.270886 1.53627i
\(746\) 4.24603e9 0.374453
\(747\) 3.92898e9 + 2.22824e10i 0.344872 + 1.95587i
\(748\) −2.60292e9 + 4.50839e9i −0.227408 + 0.393882i
\(749\) 5.92337e9 + 4.97030e9i 0.515090 + 0.432211i
\(750\) 1.89521e10 + 3.28260e10i 1.64037 + 2.84121i
\(751\) −2.11258e8 + 3.65909e8i −0.0182001 + 0.0315235i −0.874982 0.484155i \(-0.839127\pi\)
0.856782 + 0.515679i \(0.172460\pi\)
\(752\) 7.20420e9 2.62211e9i 0.617765 0.224848i
\(753\) 1.33885e10 1.12343e10i 1.14275 0.958879i
\(754\) 2.41212e9 + 4.17792e9i 0.204927 + 0.354944i
\(755\) −5.44173e9 + 3.08616e10i −0.460175 + 2.60978i
\(756\) −4.20280e9 + 2.38352e10i −0.353763 + 2.00629i
\(757\) −5.36592e9 4.50255e9i −0.449582 0.377244i 0.389699 0.920942i \(-0.372579\pi\)
−0.839281 + 0.543698i \(0.817024\pi\)
\(758\) −1.77895e9 6.47483e8i −0.148361 0.0539991i
\(759\) −2.27426e10 8.27764e9i −1.88797 0.687164i
\(760\) 3.99788e8 + 3.35462e8i 0.0330356 + 0.0277202i
\(761\) 3.36780e9 1.90997e10i 0.277012 1.57102i −0.455483 0.890244i \(-0.650534\pi\)
0.732496 0.680772i \(-0.238355\pi\)
\(762\) 2.17919e9 1.23588e10i 0.178424 1.01189i
\(763\) −5.10281e7 8.83832e7i −0.00415885 0.00720334i
\(764\) −5.73635e9 + 4.81337e9i −0.465381 + 0.390501i