Properties

Label 8.10.b.a.5.5
Level 8
Weight 10
Character 8.5
Analytic conductor 4.120
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 8 = 2^{3} \)
Weight: \( k \) = \( 10 \)
Character orbit: \([\chi]\) = 8.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.12028668931\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{28}\cdot 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 5.5
Root \(-2.43481 + 11.2224i\)
Character \(\chi\) = 8.5
Dual form 8.10.b.a.5.6

$q$-expansion

\(f(q)\) \(=\) \(q+(2.86961 - 22.4447i) q^{2} +247.414i q^{3} +(-495.531 - 128.815i) q^{4} +1417.55i q^{5} +(5553.14 + 709.983i) q^{6} +5087.57 q^{7} +(-4313.20 + 10752.4i) q^{8} -41530.8 q^{9} +O(q^{10})\) \(q+(2.86961 - 22.4447i) q^{2} +247.414i q^{3} +(-495.531 - 128.815i) q^{4} +1417.55i q^{5} +(5553.14 + 709.983i) q^{6} +5087.57 q^{7} +(-4313.20 + 10752.4i) q^{8} -41530.8 q^{9} +(31816.6 + 4067.83i) q^{10} -14811.2i q^{11} +(31870.7 - 122601. i) q^{12} +64089.8i q^{13} +(14599.3 - 114189. i) q^{14} -350723. q^{15} +(228957. + 127664. i) q^{16} +251342. q^{17} +(-119177. + 932147. i) q^{18} -511568. i q^{19} +(182602. - 702441. i) q^{20} +1.25874e6i q^{21} +(-332432. - 42502.3i) q^{22} +1.96905e6 q^{23} +(-2.66030e6 - 1.06715e6i) q^{24} -56329.6 q^{25} +(1.43848e6 + 183913. i) q^{26} -5.40545e6i q^{27} +(-2.52105e6 - 655356. i) q^{28} +2.16116e6i q^{29} +(-1.00644e6 + 7.87187e6i) q^{30} -3.03997e6 q^{31} +(3.52240e6 - 4.77253e6i) q^{32} +3.66449e6 q^{33} +(721253. - 5.64129e6i) q^{34} +7.21189e6i q^{35} +(2.05798e7 + 5.34980e6i) q^{36} +8.74315e6i q^{37} +(-1.14820e7 - 1.46800e6i) q^{38} -1.58567e7 q^{39} +(-1.52421e7 - 6.11419e6i) q^{40} -1.48418e7 q^{41} +(2.82520e7 + 3.61208e6i) q^{42} +153307. i q^{43} +(-1.90790e6 + 7.33938e6i) q^{44} -5.88721e7i q^{45} +(5.65042e6 - 4.41949e7i) q^{46} +5.17595e7 q^{47} +(-3.15858e7 + 5.66473e7i) q^{48} -1.44703e7 q^{49} +(-161644. + 1.26430e6i) q^{50} +6.21855e7i q^{51} +(8.25574e6 - 3.17584e7i) q^{52} +4.26277e7i q^{53} +(-1.21324e8 - 1.55116e7i) q^{54} +2.09956e7 q^{55} +(-2.19437e7 + 5.47035e7i) q^{56} +1.26569e8 q^{57} +(4.85067e7 + 6.20170e6i) q^{58} +1.15231e7i q^{59} +(1.73794e8 + 4.51784e7i) q^{60} -1.95800e8i q^{61} +(-8.72353e6 + 6.82312e7i) q^{62} -2.11291e8 q^{63} +(-9.70103e7 - 9.27545e7i) q^{64} -9.08506e7 q^{65} +(1.05157e7 - 8.22485e7i) q^{66} -1.69718e8i q^{67} +(-1.24547e8 - 3.23766e7i) q^{68} +4.87172e8i q^{69} +(1.61869e8 + 2.06953e7i) q^{70} +2.23552e8 q^{71} +(1.79131e8 - 4.46555e8i) q^{72} -4.10130e8 q^{73} +(1.96238e8 + 2.50895e7i) q^{74} -1.39367e7i q^{75} +(-6.58977e7 + 2.53497e8i) q^{76} -7.53528e7i q^{77} +(-4.55026e7 + 3.55899e8i) q^{78} +2.51240e7 q^{79} +(-1.80970e8 + 3.24559e8i) q^{80} +5.19935e8 q^{81} +(-4.25902e7 + 3.33120e8i) q^{82} -4.73174e8i q^{83} +(1.62144e8 - 6.23742e8i) q^{84} +3.56290e8i q^{85} +(3.44094e6 + 439932. i) q^{86} -5.34702e8 q^{87} +(1.59255e8 + 6.38836e7i) q^{88} +8.45560e8 q^{89} +(-1.32137e9 - 1.68940e8i) q^{90} +3.26061e8i q^{91} +(-9.75726e8 - 2.53644e8i) q^{92} -7.52131e8i q^{93} +(1.48530e8 - 1.16173e9i) q^{94} +7.25174e8 q^{95} +(1.18079e9 + 8.71491e8i) q^{96} -7.97179e8 q^{97} +(-4.15241e7 + 3.24781e8i) q^{98} +6.15119e8i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 18q^{2} - 428q^{4} + 4684q^{6} + 4800q^{7} - 3384q^{8} - 39368q^{9} + O(q^{10}) \) \( 8q - 18q^{2} - 428q^{4} + 4684q^{6} + 4800q^{7} - 3384q^{8} - 39368q^{9} + 26392q^{10} + 54760q^{12} - 72336q^{14} - 163136q^{15} + 185616q^{16} - 102000q^{17} - 23614q^{18} + 1245264q^{20} - 2373124q^{22} + 3412032q^{23} - 3961456q^{24} - 2423384q^{25} + 4551240q^{26} + 7509920q^{28} - 15284368q^{30} + 803584q^{31} - 14113248q^{32} + 58272q^{33} + 27757244q^{34} + 57226188q^{36} - 63661140q^{38} - 17590208q^{39} - 93063648q^{40} - 2180784q^{41} + 127541344q^{42} + 114013320q^{44} - 131840944q^{46} + 7432320q^{47} - 217917408q^{48} + 24436680q^{49} + 231784902q^{50} + 219270896q^{52} - 362934280q^{54} + 7056832q^{55} - 358503360q^{56} + 134003744q^{57} + 375425192q^{58} + 516952992q^{60} - 344291904q^{62} - 223198400q^{63} - 316815296q^{64} - 146501760q^{65} + 239713176q^{66} + 79875048q^{68} - 56202048q^{70} + 560234688q^{71} + 112273016q^{72} - 523987120q^{73} - 65773608q^{74} - 87532760q^{76} + 318117968q^{78} - 248943744q^{79} + 890441280q^{80} + 231960296q^{81} - 1051981172q^{82} - 1275608768q^{84} + 1492810428q^{86} + 540527424q^{87} + 1544767952q^{88} + 744827856q^{89} - 3218579800q^{90} - 2959012128q^{92} + 3068552352q^{94} - 1465245504q^{95} + 4296343616q^{96} - 9932784q^{97} - 3062604162q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.86961 22.4447i 0.126820 0.991926i
\(3\) 247.414i 1.76351i 0.471704 + 0.881757i \(0.343639\pi\)
−0.471704 + 0.881757i \(0.656361\pi\)
\(4\) −495.531 128.815i −0.967833 0.251592i
\(5\) 1417.55i 1.01432i 0.861853 + 0.507159i \(0.169304\pi\)
−0.861853 + 0.507159i \(0.830696\pi\)
\(6\) 5553.14 + 709.983i 1.74928 + 0.223649i
\(7\) 5087.57 0.800883 0.400441 0.916322i \(-0.368857\pi\)
0.400441 + 0.916322i \(0.368857\pi\)
\(8\) −4313.20 + 10752.4i −0.372302 + 0.928112i
\(9\) −41530.8 −2.10998
\(10\) 31816.6 + 4067.83i 1.00613 + 0.128636i
\(11\) 14811.2i 0.305016i −0.988302 0.152508i \(-0.951265\pi\)
0.988302 0.152508i \(-0.0487349\pi\)
\(12\) 31870.7 122601.i 0.443687 1.70679i
\(13\) 64089.8i 0.622363i 0.950351 + 0.311181i \(0.100725\pi\)
−0.950351 + 0.311181i \(0.899275\pi\)
\(14\) 14599.3 114189.i 0.101568 0.794416i
\(15\) −350723. −1.78876
\(16\) 228957. + 127664.i 0.873403 + 0.486999i
\(17\) 251342. 0.729868 0.364934 0.931033i \(-0.381092\pi\)
0.364934 + 0.931033i \(0.381092\pi\)
\(18\) −119177. + 932147.i −0.267588 + 2.09295i
\(19\) 511568.i 0.900558i −0.892888 0.450279i \(-0.851324\pi\)
0.892888 0.450279i \(-0.148676\pi\)
\(20\) 182602. 702441.i 0.255195 0.981691i
\(21\) 1.25874e6i 1.41237i
\(22\) −332432. 42502.3i −0.302553 0.0386821i
\(23\) 1.96905e6 1.46718 0.733588 0.679594i \(-0.237844\pi\)
0.733588 + 0.679594i \(0.237844\pi\)
\(24\) −2.66030e6 1.06715e6i −1.63674 0.656559i
\(25\) −56329.6 −0.0288408
\(26\) 1.43848e6 + 183913.i 0.617337 + 0.0789281i
\(27\) 5.40545e6i 1.95747i
\(28\) −2.52105e6 655356.i −0.775121 0.201496i
\(29\) 2.16116e6i 0.567409i 0.958912 + 0.283705i \(0.0915636\pi\)
−0.958912 + 0.283705i \(0.908436\pi\)
\(30\) −1.00644e6 + 7.87187e6i −0.226851 + 1.77432i
\(31\) −3.03997e6 −0.591210 −0.295605 0.955310i \(-0.595521\pi\)
−0.295605 + 0.955310i \(0.595521\pi\)
\(32\) 3.52240e6 4.77253e6i 0.593832 0.804589i
\(33\) 3.66449e6 0.537899
\(34\) 721253. 5.64129e6i 0.0925620 0.723975i
\(35\) 7.21189e6i 0.812350i
\(36\) 2.05798e7 + 5.34980e6i 2.04211 + 0.530855i
\(37\) 8.74315e6i 0.766938i 0.923554 + 0.383469i \(0.125271\pi\)
−0.923554 + 0.383469i \(0.874729\pi\)
\(38\) −1.14820e7 1.46800e6i −0.893287 0.114209i
\(39\) −1.58567e7 −1.09755
\(40\) −1.52421e7 6.11419e6i −0.941400 0.377632i
\(41\) −1.48418e7 −0.820274 −0.410137 0.912024i \(-0.634519\pi\)
−0.410137 + 0.912024i \(0.634519\pi\)
\(42\) 2.82520e7 + 3.61208e6i 1.40096 + 0.179117i
\(43\) 153307.i 0.00683840i 0.999994 + 0.00341920i \(0.00108837\pi\)
−0.999994 + 0.00341920i \(0.998912\pi\)
\(44\) −1.90790e6 + 7.33938e6i −0.0767396 + 0.295204i
\(45\) 5.88721e7i 2.14019i
\(46\) 5.65042e6 4.41949e7i 0.186068 1.45533i
\(47\) 5.17595e7 1.54721 0.773605 0.633668i \(-0.218451\pi\)
0.773605 + 0.633668i \(0.218451\pi\)
\(48\) −3.15858e7 + 5.66473e7i −0.858829 + 1.54026i
\(49\) −1.44703e7 −0.358587
\(50\) −161644. + 1.26430e6i −0.00365759 + 0.0286079i
\(51\) 6.21855e7i 1.28713i
\(52\) 8.25574e6 3.17584e7i 0.156582 0.602343i
\(53\) 4.26277e7i 0.742080i 0.928617 + 0.371040i \(0.120999\pi\)
−0.928617 + 0.371040i \(0.879001\pi\)
\(54\) −1.21324e8 1.55116e7i −1.94166 0.248247i
\(55\) 2.09956e7 0.309383
\(56\) −2.19437e7 + 5.47035e7i −0.298170 + 0.743309i
\(57\) 1.26569e8 1.58815
\(58\) 4.85067e7 + 6.20170e6i 0.562828 + 0.0719589i
\(59\) 1.15231e7i 0.123804i 0.998082 + 0.0619021i \(0.0197167\pi\)
−0.998082 + 0.0619021i \(0.980283\pi\)
\(60\) 1.73794e8 + 4.51784e7i 1.73123 + 0.450039i
\(61\) 1.95800e8i 1.81062i −0.424748 0.905312i \(-0.639637\pi\)
0.424748 0.905312i \(-0.360363\pi\)
\(62\) −8.72353e6 + 6.82312e7i −0.0749773 + 0.586436i
\(63\) −2.11291e8 −1.68985
\(64\) −9.70103e7 9.27545e7i −0.722783 0.691075i
\(65\) −9.08506e7 −0.631274
\(66\) 1.05157e7 8.22485e7i 0.0682165 0.533556i
\(67\) 1.69718e8i 1.02894i −0.857508 0.514470i \(-0.827989\pi\)
0.857508 0.514470i \(-0.172011\pi\)
\(68\) −1.24547e8 3.23766e7i −0.706390 0.183629i
\(69\) 4.87172e8i 2.58739i
\(70\) 1.61869e8 + 2.06953e7i 0.805790 + 0.103022i
\(71\) 2.23552e8 1.04404 0.522018 0.852934i \(-0.325179\pi\)
0.522018 + 0.852934i \(0.325179\pi\)
\(72\) 1.79131e8 4.46555e8i 0.785550 1.95830i
\(73\) −4.10130e8 −1.69032 −0.845159 0.534514i \(-0.820495\pi\)
−0.845159 + 0.534514i \(0.820495\pi\)
\(74\) 1.96238e8 + 2.50895e7i 0.760746 + 0.0972632i
\(75\) 1.39367e7i 0.0508611i
\(76\) −6.58977e7 + 2.53497e8i −0.226574 + 0.871590i
\(77\) 7.53528e7i 0.244282i
\(78\) −4.55026e7 + 3.55899e8i −0.139191 + 1.08868i
\(79\) 2.51240e7 0.0725716 0.0362858 0.999341i \(-0.488447\pi\)
0.0362858 + 0.999341i \(0.488447\pi\)
\(80\) −1.80970e8 + 3.24559e8i −0.493972 + 0.885908i
\(81\) 5.19935e8 1.34204
\(82\) −4.25902e7 + 3.33120e8i −0.104027 + 0.813651i
\(83\) 4.73174e8i 1.09438i −0.837008 0.547191i \(-0.815697\pi\)
0.837008 0.547191i \(-0.184303\pi\)
\(84\) 1.62144e8 6.23742e8i 0.355341 1.36694i
\(85\) 3.56290e8i 0.740318i
\(86\) 3.44094e6 + 439932.i 0.00678318 + 0.000867247i
\(87\) −5.34702e8 −1.00063
\(88\) 1.59255e8 + 6.38836e7i 0.283089 + 0.113558i
\(89\) 8.45560e8 1.42853 0.714265 0.699875i \(-0.246761\pi\)
0.714265 + 0.699875i \(0.246761\pi\)
\(90\) −1.32137e9 1.68940e8i −2.12291 0.271420i
\(91\) 3.26061e8i 0.498439i
\(92\) −9.75726e8 2.53644e8i −1.41998 0.369130i
\(93\) 7.52131e8i 1.04261i
\(94\) 1.48530e8 1.16173e9i 0.196217 1.53472i
\(95\) 7.25174e8 0.913452
\(96\) 1.18079e9 + 8.71491e8i 1.41890 + 1.04723i
\(97\) −7.97179e8 −0.914288 −0.457144 0.889393i \(-0.651128\pi\)
−0.457144 + 0.889393i \(0.651128\pi\)
\(98\) −4.15241e7 + 3.24781e8i −0.0454760 + 0.355692i
\(99\) 6.15119e8i 0.643578i
\(100\) 2.79130e7 + 7.25611e6i 0.0279130 + 0.00725611i
\(101\) 8.00801e8i 0.765735i −0.923803 0.382868i \(-0.874937\pi\)
0.923803 0.382868i \(-0.125063\pi\)
\(102\) 1.39574e9 + 1.78448e8i 1.27674 + 0.163234i
\(103\) 8.20324e8 0.718155 0.359077 0.933308i \(-0.383091\pi\)
0.359077 + 0.933308i \(0.383091\pi\)
\(104\) −6.89118e8 2.76432e8i −0.577622 0.231707i
\(105\) −1.78432e9 −1.43259
\(106\) 9.56767e8 + 1.22325e8i 0.736088 + 0.0941107i
\(107\) 5.88826e8i 0.434270i 0.976142 + 0.217135i \(0.0696712\pi\)
−0.976142 + 0.217135i \(0.930329\pi\)
\(108\) −6.96305e8 + 2.67857e9i −0.492484 + 1.89450i
\(109\) 8.89549e8i 0.603602i 0.953371 + 0.301801i \(0.0975878\pi\)
−0.953371 + 0.301801i \(0.902412\pi\)
\(110\) 6.02492e7 4.71240e8i 0.0392360 0.306885i
\(111\) −2.16318e9 −1.35251
\(112\) 1.16484e9 + 6.49498e8i 0.699493 + 0.390029i
\(113\) 3.64198e8 0.210128 0.105064 0.994465i \(-0.466495\pi\)
0.105064 + 0.994465i \(0.466495\pi\)
\(114\) 3.63204e8 2.84081e9i 0.201409 1.57532i
\(115\) 2.79124e9i 1.48818i
\(116\) 2.78391e8 1.07092e9i 0.142756 0.549158i
\(117\) 2.66170e9i 1.31317i
\(118\) 2.58633e8 + 3.30669e7i 0.122805 + 0.0157009i
\(119\) 1.27872e9 0.584539
\(120\) 1.51274e9 3.77111e9i 0.665960 1.66017i
\(121\) 2.13858e9 0.906965
\(122\) −4.39467e9 5.61870e8i −1.79600 0.229624i
\(123\) 3.67207e9i 1.44656i
\(124\) 1.50640e9 + 3.91594e8i 0.572192 + 0.148744i
\(125\) 2.68881e9i 0.985064i
\(126\) −6.06322e8 + 4.74236e9i −0.214307 + 1.67620i
\(127\) −3.86422e9 −1.31809 −0.659046 0.752103i \(-0.729040\pi\)
−0.659046 + 0.752103i \(0.729040\pi\)
\(128\) −2.36023e9 + 1.91120e9i −0.777159 + 0.629305i
\(129\) −3.79304e7 −0.0120596
\(130\) −2.60706e8 + 2.03912e9i −0.0800582 + 0.626176i
\(131\) 3.05723e9i 0.907000i −0.891256 0.453500i \(-0.850175\pi\)
0.891256 0.453500i \(-0.149825\pi\)
\(132\) −1.81587e9 4.72043e8i −0.520597 0.135331i
\(133\) 2.60263e9i 0.721242i
\(134\) −3.80926e9 4.87024e8i −1.02063 0.130490i
\(135\) 7.66251e9 1.98550
\(136\) −1.08409e9 + 2.70252e9i −0.271731 + 0.677399i
\(137\) 3.15497e9 0.765160 0.382580 0.923922i \(-0.375036\pi\)
0.382580 + 0.923922i \(0.375036\pi\)
\(138\) 1.09344e10 + 1.39799e9i 2.56649 + 0.328133i
\(139\) 1.46170e9i 0.332117i 0.986116 + 0.166058i \(0.0531040\pi\)
−0.986116 + 0.166058i \(0.946896\pi\)
\(140\) 9.29002e8 3.57371e9i 0.204381 0.786219i
\(141\) 1.28060e10i 2.72853i
\(142\) 6.41507e8 5.01756e9i 0.132405 1.03561i
\(143\) 9.49244e8 0.189830
\(144\) −9.50877e9 5.30198e9i −1.84286 1.02756i
\(145\) −3.06356e9 −0.575534
\(146\) −1.17691e9 + 9.20525e9i −0.214367 + 1.67667i
\(147\) 3.58015e9i 0.632373i
\(148\) 1.12625e9 4.33250e9i 0.192956 0.742268i
\(149\) 2.14316e9i 0.356218i −0.984011 0.178109i \(-0.943002\pi\)
0.984011 0.178109i \(-0.0569980\pi\)
\(150\) −3.12806e8 3.99931e7i −0.0504504 0.00645021i
\(151\) −4.26252e9 −0.667222 −0.333611 0.942711i \(-0.608267\pi\)
−0.333611 + 0.942711i \(0.608267\pi\)
\(152\) 5.50058e9 + 2.20650e9i 0.835819 + 0.335279i
\(153\) −1.04384e10 −1.54001
\(154\) −1.69127e9 2.16233e8i −0.242309 0.0309798i
\(155\) 4.30931e9i 0.599674i
\(156\) 7.85749e9 + 2.04259e9i 1.06224 + 0.276134i
\(157\) 1.08699e10i 1.42783i −0.700232 0.713915i \(-0.746920\pi\)
0.700232 0.713915i \(-0.253080\pi\)
\(158\) 7.20961e7 5.63901e8i 0.00920354 0.0719856i
\(159\) −1.05467e10 −1.30867
\(160\) 6.76532e9 + 4.99318e9i 0.816109 + 0.602334i
\(161\) 1.00177e10 1.17504
\(162\) 1.49201e9 1.16698e10i 0.170198 1.33121i
\(163\) 4.36394e9i 0.484211i 0.970250 + 0.242105i \(0.0778380\pi\)
−0.970250 + 0.242105i \(0.922162\pi\)
\(164\) 7.35456e9 + 1.91185e9i 0.793888 + 0.206375i
\(165\) 5.19461e9i 0.545601i
\(166\) −1.06203e10 1.35783e9i −1.08555 0.138790i
\(167\) −7.71676e8 −0.0767734 −0.0383867 0.999263i \(-0.512222\pi\)
−0.0383867 + 0.999263i \(0.512222\pi\)
\(168\) −1.35344e10 5.42918e9i −1.31084 0.525827i
\(169\) 6.49700e9 0.612665
\(170\) 7.99683e9 + 1.02241e9i 0.734341 + 0.0938872i
\(171\) 2.12458e10i 1.90016i
\(172\) 1.97483e7 7.59684e7i 0.00172049 0.00661843i
\(173\) 1.47368e9i 0.125082i −0.998042 0.0625411i \(-0.980080\pi\)
0.998042 0.0625411i \(-0.0199204\pi\)
\(174\) −1.53439e9 + 1.20012e10i −0.126901 + 0.992555i
\(175\) −2.86581e8 −0.0230981
\(176\) 1.89085e9 3.39112e9i 0.148542 0.266401i
\(177\) −2.85098e9 −0.218331
\(178\) 2.42643e9 1.89784e10i 0.181166 1.41700i
\(179\) 1.18045e9i 0.0859429i 0.999076 + 0.0429714i \(0.0136825\pi\)
−0.999076 + 0.0429714i \(0.986318\pi\)
\(180\) −7.58362e9 + 2.91729e10i −0.538456 + 2.07135i
\(181\) 1.33366e10i 0.923616i −0.886980 0.461808i \(-0.847201\pi\)
0.886980 0.461808i \(-0.152799\pi\)
\(182\) 7.31834e9 + 9.35668e8i 0.494415 + 0.0632122i
\(183\) 4.84437e10 3.19306
\(184\) −8.49293e9 + 2.11720e10i −0.546232 + 1.36170i
\(185\) −1.23939e10 −0.777919
\(186\) −1.68814e10 2.15833e9i −1.03419 0.132224i
\(187\) 3.72266e9i 0.222621i
\(188\) −2.56484e10 6.66741e9i −1.49744 0.389266i
\(189\) 2.75006e10i 1.56770i
\(190\) 2.08097e9 1.62763e10i 0.115844 0.906077i
\(191\) −2.67293e10 −1.45324 −0.726619 0.687040i \(-0.758910\pi\)
−0.726619 + 0.687040i \(0.758910\pi\)
\(192\) 2.29488e10 2.40017e10i 1.21872 1.27464i
\(193\) −1.13253e10 −0.587548 −0.293774 0.955875i \(-0.594911\pi\)
−0.293774 + 0.955875i \(0.594911\pi\)
\(194\) −2.28759e9 + 1.78924e10i −0.115950 + 0.906905i
\(195\) 2.24777e10i 1.11326i
\(196\) 7.17047e9 + 1.86399e9i 0.347052 + 0.0902177i
\(197\) 3.97475e10i 1.88024i 0.340850 + 0.940118i \(0.389285\pi\)
−0.340850 + 0.940118i \(0.610715\pi\)
\(198\) 1.38062e10 + 1.76515e9i 0.638381 + 0.0816186i
\(199\) 2.07651e10 0.938630 0.469315 0.883031i \(-0.344501\pi\)
0.469315 + 0.883031i \(0.344501\pi\)
\(200\) 2.42961e8 6.05678e8i 0.0107375 0.0267674i
\(201\) 4.19905e10 1.81455
\(202\) −1.79738e10 2.29799e9i −0.759552 0.0971107i
\(203\) 1.09951e10i 0.454428i
\(204\) 8.01044e9 3.08148e10i 0.323833 1.24573i
\(205\) 2.10390e10i 0.832018i
\(206\) 2.35401e9 1.84120e10i 0.0910765 0.712356i
\(207\) −8.17763e10 −3.09572
\(208\) −8.18194e9 + 1.46738e10i −0.303090 + 0.543573i
\(209\) −7.57691e9 −0.274684
\(210\) −5.12032e9 + 4.00487e10i −0.181681 + 1.42102i
\(211\) 5.11435e10i 1.77631i 0.459541 + 0.888157i \(0.348014\pi\)
−0.459541 + 0.888157i \(0.651986\pi\)
\(212\) 5.49110e9 2.11233e10i 0.186702 0.718210i
\(213\) 5.53099e10i 1.84117i
\(214\) 1.32160e10 + 1.68970e9i 0.430763 + 0.0550742i
\(215\) −2.17321e8 −0.00693631
\(216\) 5.81216e10 + 2.33148e10i 1.81675 + 0.728769i
\(217\) −1.54660e10 −0.473490
\(218\) 1.99657e10 + 2.55266e9i 0.598728 + 0.0765489i
\(219\) 1.01472e11i 2.98090i
\(220\) −1.04040e10 2.70455e9i −0.299431 0.0778383i
\(221\) 1.61084e10i 0.454243i
\(222\) −6.20749e9 + 4.85520e10i −0.171525 + 1.34159i
\(223\) 4.79011e10 1.29710 0.648550 0.761172i \(-0.275376\pi\)
0.648550 + 0.761172i \(0.275376\pi\)
\(224\) 1.79204e10 2.42806e10i 0.475590 0.644382i
\(225\) 2.33941e9 0.0608535
\(226\) 1.04511e9 8.17432e9i 0.0266485 0.208432i
\(227\) 4.51527e10i 1.12867i −0.825545 0.564336i \(-0.809132\pi\)
0.825545 0.564336i \(-0.190868\pi\)
\(228\) −6.27189e10 1.63040e10i −1.53706 0.399566i
\(229\) 1.30792e10i 0.314282i −0.987576 0.157141i \(-0.949772\pi\)
0.987576 0.157141i \(-0.0502278\pi\)
\(230\) 6.26485e10 + 8.00977e9i 1.47617 + 0.188732i
\(231\) 1.86433e10 0.430794
\(232\) −2.32377e10 9.32154e9i −0.526619 0.211247i
\(233\) −7.90446e10 −1.75700 −0.878498 0.477746i \(-0.841454\pi\)
−0.878498 + 0.477746i \(0.841454\pi\)
\(234\) −5.97410e10 7.63804e9i −1.30257 0.166537i
\(235\) 7.33717e10i 1.56936i
\(236\) 1.48435e9 5.71005e9i 0.0311482 0.119822i
\(237\) 6.21603e9i 0.127981i
\(238\) 3.66942e9 2.87004e10i 0.0741313 0.579819i
\(239\) 1.26518e10 0.250819 0.125410 0.992105i \(-0.459975\pi\)
0.125410 + 0.992105i \(0.459975\pi\)
\(240\) −8.03005e10 4.47746e10i −1.56231 0.871126i
\(241\) 5.85645e10 1.11830 0.559149 0.829067i \(-0.311128\pi\)
0.559149 + 0.829067i \(0.311128\pi\)
\(242\) 6.13689e9 4.79998e10i 0.115021 0.899642i
\(243\) 2.22438e10i 0.409243i
\(244\) −2.52220e10 + 9.70248e10i −0.455539 + 1.75238i
\(245\) 2.05124e10i 0.363721i
\(246\) −8.24186e10 1.05374e10i −1.43488 0.183454i
\(247\) 3.27862e10 0.560474
\(248\) 1.31120e10 3.26869e10i 0.220108 0.548709i
\(249\) 1.17070e11 1.92996
\(250\) 6.03495e10 + 7.71583e9i 0.977111 + 0.124926i
\(251\) 6.88194e10i 1.09441i −0.837000 0.547204i \(-0.815692\pi\)
0.837000 0.547204i \(-0.184308\pi\)
\(252\) 1.04701e11 + 2.72175e10i 1.63549 + 0.425153i
\(253\) 2.91640e10i 0.447512i
\(254\) −1.10888e10 + 8.67314e10i −0.167161 + 1.30745i
\(255\) −8.81512e10 −1.30556
\(256\) 3.61234e10 + 5.84591e10i 0.525664 + 0.850692i
\(257\) −1.19348e10 −0.170654 −0.0853271 0.996353i \(-0.527194\pi\)
−0.0853271 + 0.996353i \(0.527194\pi\)
\(258\) −1.08845e8 + 8.51336e8i −0.00152940 + 0.0119622i
\(259\) 4.44814e10i 0.614227i
\(260\) 4.50192e10 + 1.17029e10i 0.610968 + 0.158824i
\(261\) 8.97548e10i 1.19722i
\(262\) −6.86187e10 8.77307e9i −0.899677 0.115026i
\(263\) 3.19598e10 0.411911 0.205956 0.978561i \(-0.433970\pi\)
0.205956 + 0.978561i \(0.433970\pi\)
\(264\) −1.58057e10 + 3.94021e10i −0.200261 + 0.499231i
\(265\) −6.04270e10 −0.752705
\(266\) −5.84154e10 7.46855e9i −0.715418 0.0914680i
\(267\) 2.09204e11i 2.51923i
\(268\) −2.18622e10 + 8.41003e10i −0.258874 + 0.995843i
\(269\) 7.08498e10i 0.824999i 0.910958 + 0.412500i \(0.135344\pi\)
−0.910958 + 0.412500i \(0.864656\pi\)
\(270\) 2.19884e10 1.71983e11i 0.251801 1.96947i
\(271\) −8.70264e10 −0.980143 −0.490071 0.871682i \(-0.663029\pi\)
−0.490071 + 0.871682i \(0.663029\pi\)
\(272\) 5.75465e10 + 3.20872e10i 0.637469 + 0.355445i
\(273\) −8.06721e10 −0.879005
\(274\) 9.05354e9 7.08124e10i 0.0970378 0.758982i
\(275\) 8.34307e8i 0.00879688i
\(276\) 6.27552e10 2.41409e11i 0.650967 2.50416i
\(277\) 1.55080e11i 1.58270i −0.611365 0.791349i \(-0.709379\pi\)
0.611365 0.791349i \(-0.290621\pi\)
\(278\) 3.28074e10 + 4.19450e9i 0.329435 + 0.0421191i
\(279\) 1.26252e11 1.24744
\(280\) −7.75451e10 3.11064e10i −0.753951 0.302439i
\(281\) −2.79959e10 −0.267865 −0.133933 0.990990i \(-0.542761\pi\)
−0.133933 + 0.990990i \(0.542761\pi\)
\(282\) 2.87428e11 + 3.67483e10i 2.70650 + 0.346032i
\(283\) 9.14271e10i 0.847298i −0.905826 0.423649i \(-0.860749\pi\)
0.905826 0.423649i \(-0.139251\pi\)
\(284\) −1.10777e11 2.87969e10i −1.01045 0.262672i
\(285\) 1.79418e11i 1.61089i
\(286\) 2.72396e9 2.13055e10i 0.0240743 0.188298i
\(287\) −7.55086e10 −0.656943
\(288\) −1.46288e11 + 1.98207e11i −1.25297 + 1.69767i
\(289\) −5.54153e10 −0.467293
\(290\) −8.79123e9 + 6.87608e10i −0.0729892 + 0.570887i
\(291\) 1.97233e11i 1.61236i
\(292\) 2.03232e11 + 5.28310e10i 1.63595 + 0.425271i
\(293\) 9.37104e10i 0.742819i −0.928469 0.371410i \(-0.878875\pi\)
0.928469 0.371410i \(-0.121125\pi\)
\(294\) −8.03555e10 1.02736e10i −0.627267 0.0801977i
\(295\) −1.63346e10 −0.125577
\(296\) −9.40098e10 3.77110e10i −0.711804 0.285532i
\(297\) −8.00610e10 −0.597059
\(298\) −4.81026e10 6.15004e9i −0.353342 0.0451757i
\(299\) 1.26196e11i 0.913116i
\(300\) −1.79527e9 + 6.90608e9i −0.0127963 + 0.0492251i
\(301\) 7.79960e8i 0.00547676i
\(302\) −1.22318e10 + 9.56711e10i −0.0846172 + 0.661835i
\(303\) 1.98130e11 1.35038
\(304\) 6.53087e10 1.17127e11i 0.438571 0.786550i
\(305\) 2.77557e11 1.83655
\(306\) −2.99542e10 + 2.34287e11i −0.195304 + 1.52757i
\(307\) 1.03026e11i 0.661951i 0.943639 + 0.330976i \(0.107378\pi\)
−0.943639 + 0.330976i \(0.892622\pi\)
\(308\) −9.70659e9 + 3.73396e10i −0.0614594 + 0.236424i
\(309\) 2.02960e11i 1.26648i
\(310\) −9.67213e10 1.23661e10i −0.594833 0.0760508i
\(311\) −1.43254e11 −0.868333 −0.434167 0.900833i \(-0.642957\pi\)
−0.434167 + 0.900833i \(0.642957\pi\)
\(312\) 6.83932e10 1.70498e11i 0.408618 1.01864i
\(313\) 2.53850e11 1.49495 0.747477 0.664287i \(-0.231265\pi\)
0.747477 + 0.664287i \(0.231265\pi\)
\(314\) −2.43972e11 3.11924e10i −1.41630 0.181078i
\(315\) 2.99516e11i 1.71404i
\(316\) −1.24497e10 3.23635e9i −0.0702372 0.0182585i
\(317\) 2.17416e11i 1.20927i 0.796502 + 0.604636i \(0.206682\pi\)
−0.796502 + 0.604636i \(0.793318\pi\)
\(318\) −3.02650e10 + 2.36718e11i −0.165966 + 1.29810i
\(319\) 3.20093e10 0.173069
\(320\) 1.31484e11 1.37517e11i 0.700970 0.733132i
\(321\) −1.45684e11 −0.765841
\(322\) 2.87469e10 2.24844e11i 0.149018 1.16555i
\(323\) 1.28578e11i 0.657289i
\(324\) −2.57644e11 6.69756e10i −1.29887 0.337648i
\(325\) 3.61015e9i 0.0179494i
\(326\) 9.79474e10 + 1.25228e10i 0.480301 + 0.0614077i
\(327\) −2.20087e11 −1.06446
\(328\) 6.40157e10 1.59585e11i 0.305389 0.761306i
\(329\) 2.63330e11 1.23913
\(330\) 1.16592e11 + 1.49065e10i 0.541196 + 0.0691932i
\(331\) 2.98163e10i 0.136530i −0.997667 0.0682650i \(-0.978254\pi\)
0.997667 0.0682650i \(-0.0217463\pi\)
\(332\) −6.09520e10 + 2.34472e11i −0.275338 + 1.05918i
\(333\) 3.63110e11i 1.61823i
\(334\) −2.21441e9 + 1.73201e10i −0.00973642 + 0.0761535i
\(335\) 2.40584e11 1.04367
\(336\) −1.60695e11 + 2.88197e11i −0.687822 + 1.23357i
\(337\) −3.56448e11 −1.50543 −0.752716 0.658346i \(-0.771257\pi\)
−0.752716 + 0.658346i \(0.771257\pi\)
\(338\) 1.86439e10 1.45823e11i 0.0776982 0.607718i
\(339\) 9.01078e10i 0.370564i
\(340\) 4.58956e10 1.76553e11i 0.186258 0.716505i
\(341\) 4.50255e10i 0.180328i
\(342\) 4.76856e11 + 6.09672e10i 1.88482 + 0.240979i
\(343\) −2.78920e11 −1.08807
\(344\) −1.64842e9 6.61245e8i −0.00634680 0.00254595i
\(345\) −6.90592e11 −2.62443
\(346\) −3.30763e10 4.22889e9i −0.124072 0.0158629i
\(347\) 3.73598e10i 0.138332i −0.997605 0.0691659i \(-0.977966\pi\)
0.997605 0.0691659i \(-0.0220338\pi\)
\(348\) 2.64961e11 + 6.88778e10i 0.968448 + 0.251752i
\(349\) 1.15752e11i 0.417653i 0.977953 + 0.208827i \(0.0669644\pi\)
−0.977953 + 0.208827i \(0.933036\pi\)
\(350\) −8.22375e8 + 6.43222e9i −0.00292930 + 0.0229116i
\(351\) 3.46434e11 1.21826
\(352\) −7.06868e10 5.21708e10i −0.245412 0.181128i
\(353\) 1.94182e11 0.665614 0.332807 0.942995i \(-0.392004\pi\)
0.332807 + 0.942995i \(0.392004\pi\)
\(354\) −8.18121e9 + 6.39895e10i −0.0276887 + 0.216568i
\(355\) 3.16897e11i 1.05899i
\(356\) −4.19001e11 1.08921e11i −1.38258 0.359407i
\(357\) 3.16373e11i 1.03084i
\(358\) 2.64949e10 + 3.38744e9i 0.0852490 + 0.0108993i
\(359\) 2.22958e11 0.708432 0.354216 0.935164i \(-0.384748\pi\)
0.354216 + 0.935164i \(0.384748\pi\)
\(360\) 6.33016e11 + 2.53927e11i 1.98634 + 0.796797i
\(361\) 6.09863e10 0.188995
\(362\) −2.99336e11 3.82708e10i −0.916158 0.117133i
\(363\) 5.29114e11i 1.59945i
\(364\) 4.20016e10 1.61573e11i 0.125404 0.482406i
\(365\) 5.81381e11i 1.71452i
\(366\) 1.39015e11 1.08730e12i 0.404944 3.16728i
\(367\) −2.95151e11 −0.849272 −0.424636 0.905364i \(-0.639598\pi\)
−0.424636 + 0.905364i \(0.639598\pi\)
\(368\) 4.50829e11 + 2.51377e11i 1.28144 + 0.714513i
\(369\) 6.16391e11 1.73076
\(370\) −3.55656e10 + 2.78177e11i −0.0986558 + 0.771638i
\(371\) 2.16871e11i 0.594319i
\(372\) −9.68860e10 + 3.72704e11i −0.262312 + 1.00907i
\(373\) 1.80321e10i 0.0482343i 0.999709 + 0.0241172i \(0.00767748\pi\)
−0.999709 + 0.0241172i \(0.992323\pi\)
\(374\) −8.35541e10 1.06826e10i −0.220824 0.0282328i
\(375\) −6.65249e11 −1.73717
\(376\) −2.23249e11 + 5.56538e11i −0.576029 + 1.43598i
\(377\) −1.38508e11 −0.353134
\(378\) −6.17243e11 7.89160e10i −1.55505 0.198816i
\(379\) 6.09778e11i 1.51808i −0.651042 0.759042i \(-0.725668\pi\)
0.651042 0.759042i \(-0.274332\pi\)
\(380\) −3.59346e11 9.34135e10i −0.884070 0.229818i
\(381\) 9.56064e11i 2.32447i
\(382\) −7.67026e10 + 5.99931e11i −0.184300 + 1.44150i
\(383\) 1.33302e11 0.316549 0.158274 0.987395i \(-0.449407\pi\)
0.158274 + 0.987395i \(0.449407\pi\)
\(384\) −4.72858e11 5.83955e11i −1.10979 1.37053i
\(385\) 1.06816e11 0.247779
\(386\) −3.24993e10 + 2.54194e11i −0.0745129 + 0.582804i
\(387\) 6.36697e9i 0.0144289i
\(388\) 3.95026e11 + 1.02689e11i 0.884878 + 0.230028i
\(389\) 2.05551e10i 0.0455142i −0.999741 0.0227571i \(-0.992756\pi\)
0.999741 0.0227571i \(-0.00724444\pi\)
\(390\) −5.04506e11 6.45023e10i −1.10427 0.141184i
\(391\) 4.94905e11 1.07084
\(392\) 6.24132e10 1.55590e11i 0.133503 0.332809i
\(393\) 7.56402e11 1.59951
\(394\) 8.92122e11 + 1.14060e11i 1.86505 + 0.238452i
\(395\) 3.56146e10i 0.0736107i
\(396\) 7.92367e10 3.04810e11i 0.161919 0.622876i
\(397\) 5.93486e11i 1.19909i 0.800339 + 0.599547i \(0.204653\pi\)
−0.800339 + 0.599547i \(0.795347\pi\)
\(398\) 5.95877e10 4.66066e11i 0.119037 0.931051i
\(399\) 6.43929e11 1.27192
\(400\) −1.28971e10 7.19125e9i −0.0251896 0.0140454i
\(401\) −1.00640e12 −1.94367 −0.971836 0.235660i \(-0.924275\pi\)
−0.971836 + 0.235660i \(0.924275\pi\)
\(402\) 1.20497e11 9.42466e11i 0.230122 1.79990i
\(403\) 1.94831e11i 0.367947i
\(404\) −1.03155e11 + 3.96822e11i −0.192653 + 0.741104i
\(405\) 7.37035e11i 1.36126i
\(406\) 2.46781e11 + 3.15516e10i 0.450759 + 0.0576307i
\(407\) 1.29496e11 0.233928
\(408\) −6.68643e11 2.68219e11i −1.19460 0.479202i
\(409\) −3.40532e11 −0.601732 −0.300866 0.953666i \(-0.597276\pi\)
−0.300866 + 0.953666i \(0.597276\pi\)
\(410\) −4.72215e11 6.03738e10i −0.825301 0.105517i
\(411\) 7.80584e11i 1.34937i
\(412\) −4.06496e11 1.05670e11i −0.695054 0.180682i
\(413\) 5.86246e10i 0.0991527i
\(414\) −2.34666e11 + 1.83545e12i −0.392599 + 3.07072i
\(415\) 6.70749e11 1.11005
\(416\) 3.05871e11 + 2.25750e11i 0.500746 + 0.369579i
\(417\) −3.61644e11 −0.585692
\(418\) −2.17428e10 + 1.70062e11i −0.0348355 + 0.272466i
\(419\) 8.47876e11i 1.34391i −0.740593 0.671953i \(-0.765456\pi\)
0.740593 0.671953i \(-0.234544\pi\)
\(420\) 8.84187e11 + 2.29848e11i 1.38651 + 0.360429i
\(421\) 5.27094e11i 0.817747i 0.912591 + 0.408873i \(0.134078\pi\)
−0.912591 + 0.408873i \(0.865922\pi\)
\(422\) 1.14790e12 + 1.46762e11i 1.76197 + 0.225272i
\(423\) −2.14961e12 −3.26459
\(424\) −4.58350e11 1.83862e11i −0.688733 0.276278i
\(425\) −1.41580e10 −0.0210499
\(426\) 1.24142e12 + 1.58718e11i 1.82631 + 0.233498i
\(427\) 9.96145e11i 1.45010i
\(428\) 7.58497e10 2.91781e11i 0.109259 0.420301i
\(429\) 2.34856e11i 0.334768i
\(430\) −6.23627e8 + 4.87771e9i −0.000879664 + 0.00688030i
\(431\) 1.12919e11 0.157622 0.0788112 0.996890i \(-0.474888\pi\)
0.0788112 + 0.996890i \(0.474888\pi\)
\(432\) 6.90081e11 1.23762e12i 0.953286 1.70966i
\(433\) 9.18037e11 1.25506 0.627530 0.778592i \(-0.284066\pi\)
0.627530 + 0.778592i \(0.284066\pi\)
\(434\) −4.43815e10 + 3.47131e11i −0.0600480 + 0.469666i
\(435\) 7.57969e11i 1.01496i
\(436\) 1.14588e11 4.40799e11i 0.151862 0.584186i
\(437\) 1.00730e12i 1.32128i
\(438\) −2.27751e12 2.91185e11i −2.95683 0.378038i
\(439\) −9.32700e11 −1.19854 −0.599269 0.800548i \(-0.704542\pi\)
−0.599269 + 0.800548i \(0.704542\pi\)
\(440\) −9.05583e10 + 2.25753e11i −0.115184 + 0.287142i
\(441\) 6.00962e11 0.756612
\(442\) 3.61549e11 + 4.62249e10i 0.450575 + 0.0576071i
\(443\) 1.58499e12i 1.95528i 0.210283 + 0.977641i \(0.432561\pi\)
−0.210283 + 0.977641i \(0.567439\pi\)
\(444\) 1.07192e12 + 2.78651e11i 1.30900 + 0.340280i
\(445\) 1.19863e12i 1.44898i
\(446\) 1.37457e11 1.07513e12i 0.164498 1.28663i
\(447\) 5.30248e11 0.628196
\(448\) −4.93546e11 4.71895e11i −0.578864 0.553470i
\(449\) −5.33305e11 −0.619251 −0.309626 0.950859i \(-0.600204\pi\)
−0.309626 + 0.950859i \(0.600204\pi\)
\(450\) 6.71321e9 5.25075e10i 0.00771745 0.0603621i
\(451\) 2.19824e11i 0.250196i
\(452\) −1.80471e11 4.69143e10i −0.203369 0.0528667i
\(453\) 1.05461e12i 1.17666i
\(454\) −1.01344e12 1.29571e11i −1.11956 0.143138i
\(455\) −4.62208e11 −0.505576
\(456\) −5.45918e11 + 1.36092e12i −0.591270 + 1.47398i
\(457\) −6.95059e11 −0.745416 −0.372708 0.927949i \(-0.621571\pi\)
−0.372708 + 0.927949i \(0.621571\pi\)
\(458\) −2.93558e11 3.75321e10i −0.311745 0.0398573i
\(459\) 1.35862e12i 1.42869i
\(460\) 3.59554e11 1.38314e12i 0.374415 1.44031i
\(461\) 1.51250e12i 1.55970i 0.625966 + 0.779851i \(0.284705\pi\)
−0.625966 + 0.779851i \(0.715295\pi\)
\(462\) 5.34992e10 4.18445e11i 0.0546334 0.427316i
\(463\) 1.10015e12 1.11260 0.556300 0.830981i \(-0.312220\pi\)
0.556300 + 0.830981i \(0.312220\pi\)
\(464\) −2.75902e11 + 4.94814e11i −0.276328 + 0.495577i
\(465\) 1.06619e12 1.05753
\(466\) −2.26827e11 + 1.77413e12i −0.222823 + 1.74281i
\(467\) 7.29651e11i 0.709887i 0.934888 + 0.354944i \(0.115500\pi\)
−0.934888 + 0.354944i \(0.884500\pi\)
\(468\) −3.42867e11 + 1.31895e12i −0.330385 + 1.27093i
\(469\) 8.63450e11i 0.824061i
\(470\) 1.64681e12 + 2.10548e11i 1.55669 + 0.199027i
\(471\) 2.68936e12 2.51800
\(472\) −1.23901e11 4.97015e10i −0.114904 0.0460925i
\(473\) 2.27066e9 0.00208582
\(474\) 1.39517e11 + 1.78376e10i 0.126948 + 0.0162306i
\(475\) 2.88164e10i 0.0259728i
\(476\) −6.33644e11 1.64718e11i −0.565736 0.147065i
\(477\) 1.77036e12i 1.56578i
\(478\) 3.63057e10 2.83965e11i 0.0318089 0.248794i
\(479\) −9.75429e11 −0.846614 −0.423307 0.905986i \(-0.639131\pi\)
−0.423307 + 0.905986i \(0.639131\pi\)
\(480\) −1.23538e12 + 1.67384e12i −1.06222 + 1.43922i
\(481\) −5.60346e11 −0.477314
\(482\) 1.68057e11 1.31446e12i 0.141823 1.10927i
\(483\) 2.47852e12i 2.07219i
\(484\) −1.05973e12 2.75481e11i −0.877791 0.228186i
\(485\) 1.13004e12i 0.927378i
\(486\) 4.99256e11 + 6.38311e10i 0.405938 + 0.0519002i
\(487\) 7.09068e11 0.571225 0.285613 0.958345i \(-0.407803\pi\)
0.285613 + 0.958345i \(0.407803\pi\)
\(488\) 2.10532e12 + 8.44525e11i 1.68046 + 0.674098i
\(489\) −1.07970e12 −0.853913
\(490\) −4.60394e11 5.88626e10i −0.360784 0.0461272i
\(491\) 8.30763e10i 0.0645075i −0.999480 0.0322538i \(-0.989732\pi\)
0.999480 0.0322538i \(-0.0102685\pi\)
\(492\) −4.73019e11 + 1.81962e12i −0.363945 + 1.40003i
\(493\) 5.43190e11i 0.414134i
\(494\) 9.40838e10 7.35878e11i 0.0710794 0.555948i
\(495\) −8.71964e11 −0.652792
\(496\) −6.96023e11 3.88094e11i −0.516364 0.287918i
\(497\) 1.13734e12 0.836151
\(498\) 3.35945e11 2.62760e12i 0.244758 1.91438i
\(499\) 1.54674e12i 1.11677i −0.829581 0.558386i \(-0.811421\pi\)
0.829581 0.558386i \(-0.188579\pi\)
\(500\) 3.46359e11 1.33239e12i 0.247835 0.953378i
\(501\) 1.90924e11i 0.135391i
\(502\) −1.54463e12 1.97485e11i −1.08557 0.138793i
\(503\) −9.81095e11 −0.683369 −0.341684 0.939815i \(-0.610997\pi\)
−0.341684 + 0.939815i \(0.610997\pi\)
\(504\) 9.11339e11 2.27188e12i 0.629133 1.56837i
\(505\) 1.13518e12 0.776699
\(506\) −6.54577e11 8.36893e10i −0.443898 0.0567535i
\(507\) 1.60745e12i 1.08044i
\(508\) 1.91484e12 + 4.97771e11i 1.27569 + 0.331622i
\(509\) 1.02396e12i 0.676167i 0.941116 + 0.338083i \(0.109779\pi\)
−0.941116 + 0.338083i \(0.890221\pi\)
\(510\) −2.52960e11 + 1.97853e12i −0.165571 + 1.29502i
\(511\) −2.08656e12 −1.35375
\(512\) 1.41576e12 6.43024e11i 0.910488 0.413535i
\(513\) −2.76525e12 −1.76282
\(514\) −3.42483e10 + 2.67874e11i −0.0216424 + 0.169276i
\(515\) 1.16285e12i 0.728437i
\(516\) 1.87957e10 + 4.88601e9i 0.0116717 + 0.00303411i
\(517\) 7.66618e11i 0.471923i
\(518\) 9.98372e11 + 1.27644e11i 0.609268 + 0.0778964i
\(519\) 3.64609e11 0.220584
\(520\) 3.91857e11 9.76861e11i 0.235024 0.585892i
\(521\) 1.53658e11 0.0913664 0.0456832 0.998956i \(-0.485454\pi\)
0.0456832 + 0.998956i \(0.485454\pi\)
\(522\) −2.01452e12 2.57561e11i −1.18756 0.151832i
\(523\) 2.08535e12i 1.21877i −0.792875 0.609385i \(-0.791417\pi\)
0.792875 0.609385i \(-0.208583\pi\)
\(524\) −3.93818e11 + 1.51495e12i −0.228194 + 0.877825i
\(525\) 7.09041e10i 0.0407338i
\(526\) 9.17123e10 7.17329e11i 0.0522386 0.408585i
\(527\) −7.64071e11 −0.431505
\(528\) 8.39012e11 + 4.67823e11i 0.469803 + 0.261956i
\(529\) 2.07602e12 1.15261
\(530\) −1.73402e11 + 1.35627e12i −0.0954582 + 0.746628i
\(531\) 4.78564e11i 0.261225i
\(532\) −3.35259e11 + 1.28968e12i −0.181459 + 0.698042i
\(533\) 9.51207e11i 0.510508i
\(534\) 4.69552e12 + 6.00333e11i 2.49889 + 0.319490i
\(535\) −8.34691e11 −0.440488
\(536\) 1.82487e12 + 7.32027e11i 0.954972 + 0.383076i
\(537\) −2.92061e11 −0.151562
\(538\) 1.59020e12 + 2.03312e11i 0.818338 + 0.104627i
\(539\) 2.14322e11i 0.109375i
\(540\) −3.79701e12 9.87048e11i −1.92163 0.499536i
\(541\) 4.46995e11i 0.224344i 0.993689 + 0.112172i \(0.0357808\pi\)
−0.993689 + 0.112172i \(0.964219\pi\)
\(542\) −2.49732e11 + 1.95328e12i −0.124302 + 0.972229i
\(543\) 3.29966e12 1.62881
\(544\) 8.85325e11 1.19954e12i 0.433419 0.587244i
\(545\) −1.26098e12 −0.612244
\(546\) −2.31498e11 + 1.81066e12i −0.111476 + 0.871908i
\(547\) 3.46729e11i 0.165595i −0.996566 0.0827974i \(-0.973615\pi\)
0.996566 0.0827974i \(-0.0263854\pi\)
\(548\) −1.56338e12 4.06408e11i −0.740548 0.192508i
\(549\) 8.13172e12i 3.82038i
\(550\) 1.87258e10 + 2.39414e9i 0.00872585 + 0.00111562i
\(551\) 1.10558e12 0.510985
\(552\) −5.23826e12 2.10127e12i −2.40138 0.963288i
\(553\) 1.27820e11 0.0581213
\(554\) −3.48073e12 4.45020e11i −1.56992 0.200718i
\(555\) 3.06642e12i 1.37187i
\(556\) 1.88289e11 7.24315e11i 0.0835580 0.321434i
\(557\) 5.59793e11i 0.246422i −0.992380 0.123211i \(-0.960681\pi\)
0.992380 0.123211i \(-0.0393192\pi\)
\(558\) 3.62295e11 2.83370e12i 0.158201 1.23737i
\(559\) −9.82542e9 −0.00425596
\(560\) −9.20698e11 + 1.65121e12i −0.395613 + 0.709508i
\(561\) 9.21039e11 0.392595
\(562\) −8.03374e10 + 6.28360e11i −0.0339707 + 0.265702i
\(563\) 2.30313e12i 0.966119i −0.875587 0.483060i \(-0.839525\pi\)
0.875587 0.483060i \(-0.160475\pi\)
\(564\) 1.64961e12 6.34578e12i 0.686477 2.64076i
\(565\) 5.16270e11i 0.213137i
\(566\) −2.05206e12 2.62360e11i −0.840457 0.107454i
\(567\) 2.64520e12 1.07482
\(568\) −9.64225e11 + 2.40372e12i −0.388697 + 0.968983i
\(569\) −8.14910e11 −0.325915 −0.162958 0.986633i \(-0.552103\pi\)
−0.162958 + 0.986633i \(0.552103\pi\)
\(570\) 4.02699e12 + 5.14861e11i 1.59788 + 0.204293i
\(571\) 3.63502e12i 1.43102i 0.698605 + 0.715508i \(0.253805\pi\)
−0.698605 + 0.715508i \(0.746195\pi\)
\(572\) −4.70379e11 1.22277e11i −0.183724 0.0477599i
\(573\) 6.61320e12i 2.56281i
\(574\) −2.16680e11 + 1.69477e12i −0.0833136 + 0.651639i
\(575\) −1.10916e11 −0.0423145
\(576\) 4.02891e12 + 3.85217e12i 1.52506 + 1.45816i
\(577\) 2.45038e11 0.0920326 0.0460163 0.998941i \(-0.485347\pi\)
0.0460163 + 0.998941i \(0.485347\pi\)
\(578\) −1.59020e11 + 1.24378e12i −0.0592621 + 0.463520i
\(579\) 2.80205e12i 1.03615i
\(580\) 1.51809e12 + 3.94634e11i 0.557021 + 0.144800i
\(581\) 2.40730e12i 0.876472i
\(582\) −4.42685e12 5.65983e11i −1.59934 0.204480i
\(583\) 6.31366e11 0.226346
\(584\) 1.76897e12 4.40988e12i 0.629309 1.56880i
\(585\) 3.77310e12 1.33198
\(586\) −2.10330e12 2.68912e11i −0.736822 0.0942045i
\(587\) 2.81390e12i 0.978223i −0.872221 0.489112i \(-0.837321\pi\)
0.872221 0.489112i \(-0.162679\pi\)
\(588\) −4.61178e11 + 1.77407e12i −0.159100 + 0.612032i
\(589\) 1.55515e12i 0.532419i
\(590\) −4.68740e10 + 3.66626e11i −0.0159257 + 0.124563i
\(591\) −9.83410e12 −3.31582
\(592\) −1.11618e12 + 2.00181e12i −0.373498 + 0.669846i
\(593\) 7.42491e11 0.246573 0.123286 0.992371i \(-0.460657\pi\)
0.123286 + 0.992371i \(0.460657\pi\)
\(594\) −2.29744e11 + 1.79695e12i −0.0757191 + 0.592238i
\(595\) 1.81265e12i 0.592908i
\(596\) −2.76072e11 + 1.06200e12i −0.0896218 + 0.344760i
\(597\) 5.13757e12i 1.65529i
\(598\) 2.83244e12 + 3.62134e11i 0.905743 + 0.115801i
\(599\) 8.31869e11 0.264018 0.132009 0.991248i \(-0.457857\pi\)
0.132009 + 0.991248i \(0.457857\pi\)
\(600\) 1.49853e11 + 6.01120e10i 0.0472048 + 0.0189357i
\(601\) −1.71774e12 −0.537060 −0.268530 0.963271i \(-0.586538\pi\)
−0.268530 + 0.963271i \(0.586538\pi\)
\(602\) 1.75060e10 + 2.23818e9i 0.00543253 + 0.000694563i
\(603\) 7.04851e12i 2.17105i
\(604\) 2.11221e12 + 5.49078e11i 0.645760 + 0.167868i
\(605\) 3.03155e12i 0.919951i
\(606\) 5.68555e11 4.44696e12i 0.171256 1.33948i
\(607\) −2.97709e12 −0.890107 −0.445053 0.895504i \(-0.646815\pi\)
−0.445053 + 0.895504i \(0.646815\pi\)
\(608\) −2.44147e12 1.80194e12i −0.724580 0.534780i
\(609\) −2.72033e12 −0.801391
\(610\) 7.96480e11 6.22968e12i 0.232911 1.82172i
\(611\) 3.31725e12i 0.962926i
\(612\) 5.17255e12 + 1.34463e12i 1.49047 + 0.387454i
\(613\) 3.26103e12i 0.932788i −0.884577 0.466394i \(-0.845553\pi\)
0.884577 0.466394i \(-0.154447\pi\)
\(614\) 2.31240e12 + 2.95646e11i 0.656607 + 0.0839488i
\(615\) 5.20535e12 1.46728
\(616\) 8.10223e11 + 3.25012e11i 0.226721 + 0.0909465i
\(617\) 4.07434e12 1.13181 0.565906 0.824470i \(-0.308527\pi\)
0.565906 + 0.824470i \(0.308527\pi\)
\(618\) 4.55538e12 + 5.82416e11i 1.25625 + 0.160615i
\(619\) 3.60019e12i 0.985638i 0.870132 + 0.492819i \(0.164034\pi\)
−0.870132 + 0.492819i \(0.835966\pi\)
\(620\) −5.55106e11 + 2.13540e12i −0.150873 + 0.580385i
\(621\) 1.06436e13i 2.87195i
\(622\) −4.11085e11 + 3.21531e12i −0.110122 + 0.861322i
\(623\) 4.30184e12 1.14409
\(624\) −3.63051e12 2.02433e12i −0.958599 0.534503i
\(625\) −3.92154e12 −1.02801
\(626\) 7.28452e11 5.69760e12i 0.189590 1.48288i
\(627\) 1.87464e12i 0.484410i
\(628\) −1.40021e12 + 5.38636e12i −0.359231 + 1.38190i
\(629\) 2.19752e12i 0.559763i
\(630\) −6.72254e12 8.59493e11i −1.70020 0.217375i
\(631\) 4.14069e12 1.03978 0.519890 0.854233i \(-0.325973\pi\)
0.519890 + 0.854233i \(0.325973\pi\)
\(632\) −1.08365e11 + 2.70143e11i −0.0270185 + 0.0673546i
\(633\) −1.26536e13 −3.13255
\(634\) 4.87984e12 + 6.23899e11i 1.19951 + 0.153360i
\(635\) 5.47774e12i 1.33696i
\(636\) 5.22622e12 + 1.35858e12i 1.26657 + 0.329251i
\(637\) 9.27396e11i 0.223171i
\(638\) 9.18544e10 7.18441e11i 0.0219486 0.171671i
\(639\) −9.28429e12 −2.20290
\(640\) −2.70922e12 3.34575e12i −0.638315 0.788286i
\(641\) 1.23747e12 0.289516 0.144758 0.989467i \(-0.453760\pi\)
0.144758 + 0.989467i \(0.453760\pi\)
\(642\) −4.18056e11 + 3.26983e12i −0.0971241 + 0.759657i
\(643\) 2.36693e12i 0.546054i 0.962006 + 0.273027i \(0.0880248\pi\)
−0.962006 + 0.273027i \(0.911975\pi\)
\(644\) −4.96407e12 1.29043e12i −1.13724 0.295630i
\(645\) 5.37683e10i 0.0122323i
\(646\) −2.88590e12 3.68970e11i −0.651982 0.0833574i
\(647\) 5.75807e12 1.29184 0.645918 0.763406i \(-0.276475\pi\)
0.645918 + 0.763406i \(0.276475\pi\)
\(648\) −2.24259e12 + 5.59055e12i −0.499645 + 1.24557i
\(649\) 1.70671e11 0.0377622
\(650\) −8.10288e10 1.03597e10i −0.0178045 0.00227635i
\(651\) 3.82652e12i 0.835006i
\(652\) 5.62142e11 2.16247e12i 0.121824 0.468635i
\(653\) 1.19202e12i 0.256552i 0.991739 + 0.128276i \(0.0409443\pi\)
−0.991739 + 0.128276i \(0.959056\pi\)
\(654\) −6.31565e11 + 4.93979e12i −0.134995 + 1.05587i
\(655\) 4.33379e12 0.919987
\(656\) −3.39814e12 1.89476e12i −0.716429 0.399472i
\(657\) 1.70330e13 3.56654
\(658\) 7.55654e11 5.91036e12i 0.157147 1.22913i
\(659\) 6.40718e11i 0.132337i 0.997808 + 0.0661687i \(0.0210776\pi\)
−0.997808 + 0.0661687i \(0.978922\pi\)
\(660\) 6.69145e11 2.57409e12i 0.137269 0.528051i
\(661\) 6.37585e12i 1.29907i −0.760333 0.649533i \(-0.774964\pi\)
0.760333 0.649533i \(-0.225036\pi\)
\(662\) −6.69219e11 8.55613e10i −0.135428 0.0173148i
\(663\) −3.98545e12 −0.801063
\(664\) 5.08775e12 + 2.04089e12i 1.01571 + 0.407440i
\(665\) 3.68937e12 0.731568
\(666\) −8.14990e12 1.04198e12i −1.60516 0.205224i
\(667\) 4.25545e12i 0.832490i
\(668\) 3.82389e11 + 9.94037e10i 0.0743039 + 0.0193156i
\(669\) 1.18514e13i 2.28745i
\(670\) 6.90382e11 5.39983e12i 0.132359 1.03525i
\(671\) −2.90002e12 −0.552268
\(672\) 6.00736e12 + 4.43377e12i 1.13638 + 0.838709i
\(673\) −5.29863e12 −0.995624 −0.497812 0.867285i \(-0.665863\pi\)
−0.497812 + 0.867285i \(0.665863\pi\)
\(674\) −1.02287e12 + 8.00036e12i −0.190919 + 1.49328i
\(675\) 3.04487e11i 0.0564549i
\(676\) −3.21946e12 8.36913e11i −0.592957 0.154142i
\(677\) 2.91606e12i 0.533516i −0.963764 0.266758i \(-0.914048\pi\)
0.963764 0.266758i \(-0.0859525\pi\)
\(678\) 2.02244e12 + 2.58574e11i 0.367572 + 0.0469950i
\(679\) −4.05570e12 −0.732237
\(680\) −3.83097e12 1.53675e12i −0.687098 0.275622i
\(681\) 1.11714e13 1.99043
\(682\) 1.01058e12 + 1.29206e11i 0.178872 + 0.0228692i
\(683\) 1.41684e12i 0.249131i 0.992211 + 0.124565i \(0.0397536\pi\)
−0.992211 + 0.124565i \(0.960246\pi\)
\(684\) 2.73678e12 1.05279e13i 0.478066 1.83904i
\(685\) 4.47233e12i 0.776116i
\(686\) −8.00393e11 + 6.26028e12i −0.137989 + 1.07928i
\(687\) 3.23597e12 0.554241
\(688\) −1.95718e10 + 3.51008e10i −0.00333029 + 0.00597268i
\(689\) −2.73200e12 −0.461843
\(690\) −1.98173e12 + 1.55001e13i −0.332831 + 2.60324i
\(691\) 1.87083e12i 0.312164i −0.987744 0.156082i \(-0.950114\pi\)
0.987744 0.156082i \(-0.0498865\pi\)
\(692\) −1.89832e11 + 7.30253e11i −0.0314697 + 0.121059i
\(693\) 3.12946e12i 0.515430i
\(694\) −8.38530e11 1.07208e11i −0.137215 0.0175433i
\(695\) −2.07203e12 −0.336872
\(696\) 2.30628e12 5.74933e12i 0.372538 0.928701i
\(697\) −3.73036e12 −0.598692
\(698\) 2.59803e12 + 3.32165e11i 0.414281 + 0.0529668i
\(699\) 1.95568e13i 3.09849i
\(700\) 1.42009e11 + 3.69160e10i 0.0223551 + 0.00581130i
\(701\) 8.31406e12i 1.30042i 0.759757 + 0.650208i \(0.225318\pi\)
−0.759757 + 0.650208i \(0.774682\pi\)
\(702\) 9.94131e11 7.77561e12i 0.154499 1.20842i
\(703\) 4.47271e12 0.690672
\(704\) −1.37380e12 + 1.43684e12i −0.210789 + 0.220460i
\(705\) −1.81532e13 −2.76759
\(706\) 5.57227e11 4.35836e12i 0.0844133 0.660240i
\(707\) 4.07413e12i 0.613264i
\(708\) 1.41275e12 + 3.67250e11i 0.211308 + 0.0549303i
\(709\) 1.00136e13i 1.48827i −0.668030 0.744134i \(-0.732862\pi\)
0.668030 0.744134i \(-0.267138\pi\)
\(710\) 7.11265e12 + 9.09370e11i 1.05043 + 0.134301i
\(711\) −1.04342e12 −0.153125
\(712\) −3.64707e12 + 9.09180e12i −0.531844 + 1.32584i
\(713\) −5.98586e12 −0.867409
\(714\) 7.10090e12 + 9.07867e11i 1.02252 + 0.130732i
\(715\) 1.34560e12i 0.192548i
\(716\) 1.52060e11 5.84951e11i 0.0216226 0.0831784i
\(717\) 3.13023e12i 0.442323i
\(718\) 6.39803e11 5.00423e12i 0.0898435 0.702712i
\(719\) −3.50640e12 −0.489307 −0.244654 0.969611i \(-0.578674\pi\)
−0.244654 + 0.969611i \(0.578674\pi\)
\(720\) 7.51583e12 1.34792e13i 1.04227 1.86925i
\(721\) 4.17346e12 0.575158
\(722\) 1.75007e11 1.36882e12i 0.0239683 0.187469i
\(723\) 1.44897e13i 1.97213i
\(724\) −1.71796e12 + 6.60869e12i −0.232375 + 0.893906i
\(725\) 1.21737e11i 0.0163645i
\(726\) 1.18758e13 + 1.51835e12i 1.58653 + 0.202842i
\(727\) −2.99547e11 −0.0397703 −0.0198852 0.999802i \(-0.506330\pi\)
−0.0198852 + 0.999802i \(0.506330\pi\)
\(728\) −3.50594e12 1.40637e12i −0.462608 0.185570i
\(729\) 4.73045e12 0.620338
\(730\) −1.30489e13 1.66834e12i −1.70068 0.217436i
\(731\) 3.85325e10i 0.00499113i
\(732\) −2.40053e13 6.24028e12i −3.09035 0.803349i
\(733\) 6.88627e10i 0.00881082i −0.999990 0.00440541i \(-0.998598\pi\)
0.999990 0.00440541i \(-0.00140229\pi\)
\(734\) −8.46968e11 + 6.62457e12i −0.107705 + 0.842414i
\(735\) 5.07505e12 0.641427
\(736\) 6.93579e12 9.39738e12i 0.871256 1.18047i
\(737\) −2.51372e12 −0.313843
\(738\) 1.76880e12 1.38347e13i 0.219496 1.71679i
\(739\) 9.78319e12i 1.20665i −0.797496 0.603324i \(-0.793843\pi\)
0.797496 0.603324i \(-0.206157\pi\)
\(740\) 6.14154e12 + 1.59652e12i 0.752896 + 0.195718i
\(741\) 8.11178e12i 0.988404i
\(742\) 4.86762e12 + 6.22337e11i 0.589520 + 0.0753716i
\(743\) −1.30634e12 −0.157256 −0.0786279 0.996904i \(-0.525054\pi\)
−0.0786279 + 0.996904i \(0.525054\pi\)
\(744\) 8.08721e12 + 3.24410e12i 0.967655 + 0.388164i
\(745\) 3.03804e12 0.361319
\(746\) 4.04725e11 + 5.17451e10i 0.0478449 + 0.00611709i
\(747\) 1.96513e13i 2.30913i
\(748\) −4.79536e11 + 1.84469e12i −0.0560098 + 0.215460i
\(749\) 2.99569e12i 0.347799i
\(750\) −1.90901e12 + 1.49313e13i −0.220309 + 1.72315i
\(751\) −1.05656e13 −1.21204 −0.606019 0.795451i \(-0.707234\pi\)
−0.606019 + 0.795451i \(0.707234\pi\)
\(752\) 1.18507e13 + 6.60781e12i 1.35134 + 0.753490i
\(753\) 1.70269e13 1.93000
\(754\) −3.97465e11 + 3.10878e12i −0.0447846 + 0.350283i
\(755\) 6.04235e12i 0.676775i
\(756\) −3.54250e12 + 1.36274e13i −0.394422 + 1.51728i
\(757\) 1.53287e13i 1.69658i −0.529535 0.848288i \(-0.677634\pi\)
0.529535 0.848288i \(-0.322366\pi\)
\(758\) −1.36863e13 1.74983e12i −1.50583 0.192524i
\(759\) 7.21558e12 0.789193
\(760\) −3.12782e12 + 7.79736e12i −0.340080 + 0.847786i
\(761\) −3.80613e12 −0.411389 −0.205695 0.978616i \(-0.565945\pi\)
−0.205695 + 0.978616i \(0.565945\pi\)
\(762\) −2.14586e13 2.74353e12i −2.30571 0.294790i
\(763\) 4.52564e12i 0.483414i
\(764\) 1.32452e13 + 3.44314e12i 1.40649 + 0.365624i
\(765\) 1.47970e13i 1.56206i
\(766\) 3.82524e11 2.99192e12i 0.0401448 0.313993i
\(767\) −7.38513e11 −0.0770511
\(768\) −1.44636e13 + 8.93743e12i −1.50021 + 0.927016i
\(769\) 3.96740e12 0.409107 0.204554 0.978855i \(-0.434426\pi\)
0.204554 + 0.978855i \(0.434426\pi\)
\(770\) 3.06522e11 2.39747e12i 0.0314234 0.245779i
\(771\) 2.95285e12i 0.300951i
\(772\) 5.61205e12 + 1.45888e12i 0.568648 + 0.147823i
\(773\) 7.06875e12i 0.712090i −0.934469 0.356045i \(-0.884125\pi\)
0.934469 0.356045i \(-0.115875\pi\)
\(774\) −1.42905e11 1.82707e10i −0.0143124 &min