Properties

Label 8.10.b.a.5.3
Level 8
Weight 10
Character 8.5
Analytic conductor 4.120
Analytic rank 0
Dimension 8
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 5.3
Root \(3.68032 + 10.3002i\)
Character \(\chi\) = 8.5
Dual form 8.10.b.a.5.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.36065 - 20.6004i) q^{2} -150.106i q^{3} +(-336.757 + 385.667i) q^{4} +292.339i q^{5} +(-3092.24 + 1405.08i) q^{6} -9955.46 q^{7} +(11097.2 + 3327.24i) q^{8} -2848.66 q^{9} +O(q^{10})\) \(q+(-9.36065 - 20.6004i) q^{2} -150.106i q^{3} +(-336.757 + 385.667i) q^{4} +292.339i q^{5} +(-3092.24 + 1405.08i) q^{6} -9955.46 q^{7} +(11097.2 + 3327.24i) q^{8} -2848.66 q^{9} +(6022.31 - 2736.48i) q^{10} -65874.1i q^{11} +(57890.7 + 50549.0i) q^{12} -44990.6i q^{13} +(93189.6 + 205087. i) q^{14} +43881.7 q^{15} +(-35334.0 - 259752. i) q^{16} -469098. q^{17} +(26665.3 + 58683.7i) q^{18} -438793. i q^{19} +(-112745. - 98447.0i) q^{20} +1.49437e6i q^{21} +(-1.35703e6 + 616624. i) q^{22} +1.14082e6 q^{23} +(499437. - 1.66575e6i) q^{24} +1.86766e6 q^{25} +(-926827. + 421141. i) q^{26} -2.52693e6i q^{27} +(3.35257e6 - 3.83949e6i) q^{28} +5.39024e6i q^{29} +(-410761. - 903982. i) q^{30} +1.85181e6 q^{31} +(-5.02025e6 + 3.15934e6i) q^{32} -9.88806e6 q^{33} +(4.39106e6 + 9.66363e6i) q^{34} -2.91037e6i q^{35} +(959306. - 1.09863e6i) q^{36} -1.45757e7i q^{37} +(-9.03933e6 + 4.10739e6i) q^{38} -6.75334e6 q^{39} +(-972682. + 3.24413e6i) q^{40} +5.45239e6 q^{41} +(3.07847e7 - 1.39883e7i) q^{42} +5.79053e6i q^{43} +(2.54054e7 + 2.21835e7i) q^{44} -832774. i q^{45} +(-1.06788e7 - 2.35013e7i) q^{46} -1.69791e7 q^{47} +(-3.89902e7 + 5.30383e6i) q^{48} +5.87576e7 q^{49} +(-1.74825e7 - 3.84747e7i) q^{50} +7.04142e7i q^{51} +(1.73514e7 + 1.51509e7i) q^{52} -4.94827e7i q^{53} +(-5.20558e7 + 2.36537e7i) q^{54} +1.92575e7 q^{55} +(-1.10477e8 - 3.31242e7i) q^{56} -6.58652e7 q^{57} +(1.11041e8 - 5.04561e7i) q^{58} +4.70612e7i q^{59} +(-1.47774e7 + 1.69237e7i) q^{60} +7.39468e7i q^{61} +(-1.73342e7 - 3.81481e7i) q^{62} +2.83597e7 q^{63} +(1.12077e8 + 7.38460e7i) q^{64} +1.31525e7 q^{65} +(9.25586e7 + 2.03698e8i) q^{66} -2.37554e8i q^{67} +(1.57972e8 - 1.80916e8i) q^{68} -1.71243e8i q^{69} +(-5.99549e7 + 2.72429e7i) q^{70} -6.33394e7 q^{71} +(-3.16121e7 - 9.47819e6i) q^{72} -2.73992e7 q^{73} +(-3.00266e8 + 1.36438e8i) q^{74} -2.80346e8i q^{75} +(1.69228e8 + 1.47766e8i) q^{76} +6.55807e8i q^{77} +(6.32157e7 + 1.39122e8i) q^{78} -1.20924e8 q^{79} +(7.59355e7 - 1.03295e7i) q^{80} -4.35376e8 q^{81} +(-5.10379e7 - 1.12322e8i) q^{82} +1.31132e8i q^{83} +(-5.76329e8 - 5.03239e8i) q^{84} -1.37136e8i q^{85} +(1.19288e8 - 5.42031e7i) q^{86} +8.09104e8 q^{87} +(2.19179e8 - 7.31016e8i) q^{88} +6.90156e8 q^{89} +(-1.71555e7 + 7.79531e6i) q^{90} +4.47903e8i q^{91} +(-3.84177e8 + 4.39975e8i) q^{92} -2.77967e8i q^{93} +(1.58935e8 + 3.49777e8i) q^{94} +1.28276e8 q^{95} +(4.74234e8 + 7.53568e8i) q^{96} +1.17879e8 q^{97} +(-5.50009e8 - 1.21043e9i) q^{98} +1.87653e8i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.36065 20.6004i −0.413686 0.910420i
\(3\) 150.106i 1.06992i −0.844878 0.534960i \(-0.820327\pi\)
0.844878 0.534960i \(-0.179673\pi\)
\(4\) −336.757 + 385.667i −0.657728 + 0.753256i
\(5\) 292.339i 0.209181i 0.994515 + 0.104590i \(0.0333531\pi\)
−0.994515 + 0.104590i \(0.966647\pi\)
\(6\) −3092.24 + 1405.08i −0.974075 + 0.442611i
\(7\) −9955.46 −1.56718 −0.783592 0.621275i \(-0.786615\pi\)
−0.783592 + 0.621275i \(0.786615\pi\)
\(8\) 11097.2 + 3327.24i 0.957872 + 0.287197i
\(9\) −2848.66 −0.144727
\(10\) 6022.31 2736.48i 0.190442 0.0865351i
\(11\) 65874.1i 1.35659i −0.734791 0.678293i \(-0.762720\pi\)
0.734791 0.678293i \(-0.237280\pi\)
\(12\) 57890.7 + 50549.0i 0.805923 + 0.703715i
\(13\) 44990.6i 0.436895i −0.975849 0.218447i \(-0.929901\pi\)
0.975849 0.218447i \(-0.0700992\pi\)
\(14\) 93189.6 + 205087.i 0.648322 + 1.42680i
\(15\) 43881.7 0.223806
\(16\) −35334.0 259752.i −0.134789 0.990874i
\(17\) −469098. −1.36221 −0.681104 0.732187i \(-0.738500\pi\)
−0.681104 + 0.732187i \(0.738500\pi\)
\(18\) 26665.3 + 58683.7i 0.0598716 + 0.131762i
\(19\) 438793.i 0.772447i −0.922405 0.386223i \(-0.873779\pi\)
0.922405 0.386223i \(-0.126221\pi\)
\(20\) −112745. 98447.0i −0.157567 0.137584i
\(21\) 1.49437e6i 1.67676i
\(22\) −1.35703e6 + 616624.i −1.23506 + 0.561201i
\(23\) 1.14082e6 0.850041 0.425021 0.905184i \(-0.360267\pi\)
0.425021 + 0.905184i \(0.360267\pi\)
\(24\) 499437. 1.66575e6i 0.307277 1.02485i
\(25\) 1.86766e6 0.956243
\(26\) −926827. + 421141.i −0.397758 + 0.180737i
\(27\) 2.52693e6i 0.915073i
\(28\) 3.35257e6 3.83949e6i 1.03078 1.18049i
\(29\) 5.39024e6i 1.41520i 0.706615 + 0.707598i \(0.250221\pi\)
−0.706615 + 0.707598i \(0.749779\pi\)
\(30\) −410761. 903982.i −0.0925856 0.203758i
\(31\) 1.85181e6 0.360138 0.180069 0.983654i \(-0.442368\pi\)
0.180069 + 0.983654i \(0.442368\pi\)
\(32\) −5.02025e6 + 3.15934e6i −0.846351 + 0.532625i
\(33\) −9.88806e6 −1.45144
\(34\) 4.39106e6 + 9.66363e6i 0.563526 + 1.24018i
\(35\) 2.91037e6i 0.327825i
\(36\) 959306. 1.09863e6i 0.0951910 0.109016i
\(37\) 1.45757e7i 1.27856i −0.768972 0.639282i \(-0.779232\pi\)
0.768972 0.639282i \(-0.220768\pi\)
\(38\) −9.03933e6 + 4.10739e6i −0.703250 + 0.319550i
\(39\) −6.75334e6 −0.467442
\(40\) −972682. + 3.24413e6i −0.0600760 + 0.200368i
\(41\) 5.45239e6 0.301342 0.150671 0.988584i \(-0.451857\pi\)
0.150671 + 0.988584i \(0.451857\pi\)
\(42\) 3.07847e7 1.39883e7i 1.52656 0.693653i
\(43\) 5.79053e6i 0.258292i 0.991626 + 0.129146i \(0.0412235\pi\)
−0.991626 + 0.129146i \(0.958776\pi\)
\(44\) 2.54054e7 + 2.21835e7i 1.02186 + 0.892264i
\(45\) 832774.i 0.0302741i
\(46\) −1.06788e7 2.35013e7i −0.351650 0.773894i
\(47\) −1.69791e7 −0.507544 −0.253772 0.967264i \(-0.581671\pi\)
−0.253772 + 0.967264i \(0.581671\pi\)
\(48\) −3.89902e7 + 5.30383e6i −1.06016 + 0.144213i
\(49\) 5.87576e7 1.45607
\(50\) −1.74825e7 3.84747e7i −0.395585 0.870583i
\(51\) 7.04142e7i 1.45745i
\(52\) 1.73514e7 + 1.51509e7i 0.329094 + 0.287358i
\(53\) 4.94827e7i 0.861415i −0.902492 0.430707i \(-0.858264\pi\)
0.902492 0.430707i \(-0.141736\pi\)
\(54\) −5.20558e7 + 2.36537e7i −0.833100 + 0.378553i
\(55\) 1.92575e7 0.283772
\(56\) −1.10477e8 3.31242e7i −1.50116 0.450090i
\(57\) −6.58652e7 −0.826455
\(58\) 1.11041e8 5.04561e7i 1.28842 0.585447i
\(59\) 4.70612e7i 0.505625i 0.967515 + 0.252813i \(0.0813556\pi\)
−0.967515 + 0.252813i \(0.918644\pi\)
\(60\) −1.47774e7 + 1.69237e7i −0.147204 + 0.168583i
\(61\) 7.39468e7i 0.683810i 0.939735 + 0.341905i \(0.111072\pi\)
−0.939735 + 0.341905i \(0.888928\pi\)
\(62\) −1.73342e7 3.81481e7i −0.148984 0.327877i
\(63\) 2.83597e7 0.226814
\(64\) 1.12077e8 + 7.38460e7i 0.835036 + 0.550195i
\(65\) 1.31525e7 0.0913900
\(66\) 9.25586e7 + 2.03698e8i 0.600439 + 1.32142i
\(67\) 2.37554e8i 1.44021i −0.693866 0.720104i \(-0.744094\pi\)
0.693866 0.720104i \(-0.255906\pi\)
\(68\) 1.57972e8 1.80916e8i 0.895962 1.02609i
\(69\) 1.71243e8i 0.909476i
\(70\) −5.99549e7 + 2.72429e7i −0.298458 + 0.135616i
\(71\) −6.33394e7 −0.295809 −0.147904 0.989002i \(-0.547253\pi\)
−0.147904 + 0.989002i \(0.547253\pi\)
\(72\) −3.16121e7 9.47819e6i −0.138630 0.0415651i
\(73\) −2.73992e7 −0.112924 −0.0564618 0.998405i \(-0.517982\pi\)
−0.0564618 + 0.998405i \(0.517982\pi\)
\(74\) −3.00266e8 + 1.36438e8i −1.16403 + 0.528924i
\(75\) 2.80346e8i 1.02310i
\(76\) 1.69228e8 + 1.47766e8i 0.581850 + 0.508059i
\(77\) 6.55807e8i 2.12602i
\(78\) 6.32157e7 + 1.39122e8i 0.193374 + 0.425569i
\(79\) −1.20924e8 −0.349294 −0.174647 0.984631i \(-0.555878\pi\)
−0.174647 + 0.984631i \(0.555878\pi\)
\(80\) 7.59355e7 1.03295e7i 0.207272 0.0281952i
\(81\) −4.35376e8 −1.12378
\(82\) −5.10379e7 1.12322e8i −0.124661 0.274348i
\(83\) 1.31132e8i 0.303290i 0.988435 + 0.151645i \(0.0484570\pi\)
−0.988435 + 0.151645i \(0.951543\pi\)
\(84\) −5.76329e8 5.03239e8i −1.26303 1.10285i
\(85\) 1.37136e8i 0.284947i
\(86\) 1.19288e8 5.42031e7i 0.235154 0.106852i
\(87\) 8.09104e8 1.51415
\(88\) 2.19179e8 7.31016e8i 0.389607 1.29944i
\(89\) 6.90156e8 1.16598 0.582991 0.812478i \(-0.301882\pi\)
0.582991 + 0.812478i \(0.301882\pi\)
\(90\) −1.71555e7 + 7.79531e6i −0.0275621 + 0.0125240i
\(91\) 4.47903e8i 0.684695i
\(92\) −3.84177e8 + 4.39975e8i −0.559096 + 0.640299i
\(93\) 2.77967e8i 0.385319i
\(94\) 1.58935e8 + 3.49777e8i 0.209964 + 0.462078i
\(95\) 1.28276e8 0.161581
\(96\) 4.74234e8 + 7.53568e8i 0.569866 + 0.905527i
\(97\) 1.17879e8 0.135196 0.0675982 0.997713i \(-0.478466\pi\)
0.0675982 + 0.997713i \(0.478466\pi\)
\(98\) −5.50009e8 1.21043e9i −0.602355 1.32563i
\(99\) 1.87653e8i 0.196335i
\(100\) −6.28948e8 + 7.20296e8i −0.628948 + 0.720296i
\(101\) 9.55963e7i 0.0914103i 0.998955 + 0.0457051i \(0.0145535\pi\)
−0.998955 + 0.0457051i \(0.985447\pi\)
\(102\) 1.45056e9 6.59122e8i 1.32689 0.602928i
\(103\) −1.83082e9 −1.60280 −0.801399 0.598130i \(-0.795910\pi\)
−0.801399 + 0.598130i \(0.795910\pi\)
\(104\) 1.49695e8 4.99269e8i 0.125475 0.418489i
\(105\) −4.36862e8 −0.350746
\(106\) −1.01937e9 + 4.63191e8i −0.784249 + 0.356355i
\(107\) 3.98905e8i 0.294200i 0.989122 + 0.147100i \(0.0469939\pi\)
−0.989122 + 0.147100i \(0.953006\pi\)
\(108\) 9.74552e8 + 8.50959e8i 0.689284 + 0.601869i
\(109\) 2.62653e9i 1.78223i −0.453782 0.891113i \(-0.649926\pi\)
0.453782 0.891113i \(-0.350074\pi\)
\(110\) −1.80263e8 3.96714e8i −0.117392 0.258351i
\(111\) −2.18790e9 −1.36796
\(112\) 3.51766e8 + 2.58595e9i 0.211239 + 1.55288i
\(113\) 1.25718e9 0.725343 0.362672 0.931917i \(-0.381865\pi\)
0.362672 + 0.931917i \(0.381865\pi\)
\(114\) 6.16541e8 + 1.35685e9i 0.341893 + 0.752421i
\(115\) 3.33505e8i 0.177812i
\(116\) −2.07884e9 1.81520e9i −1.06601 0.930814i
\(117\) 1.28163e8i 0.0632305i
\(118\) 9.69481e8 4.40523e8i 0.460331 0.209170i
\(119\) 4.67009e9 2.13483
\(120\) 4.86962e8 + 1.46005e8i 0.214378 + 0.0642765i
\(121\) −1.98144e9 −0.840326
\(122\) 1.52334e9 6.92190e8i 0.622554 0.282883i
\(123\) 8.18434e8i 0.322412i
\(124\) −6.23610e8 + 7.14183e8i −0.236873 + 0.271276i
\(125\) 1.11696e9i 0.409208i
\(126\) −2.65466e8 5.84223e8i −0.0938298 0.206496i
\(127\) −2.41608e8 −0.0824129 −0.0412065 0.999151i \(-0.513120\pi\)
−0.0412065 + 0.999151i \(0.513120\pi\)
\(128\) 4.72150e8 3.00007e9i 0.155466 0.987841i
\(129\) 8.69191e8 0.276351
\(130\) −1.23116e8 2.70948e8i −0.0378068 0.0832032i
\(131\) 1.35260e9i 0.401281i 0.979665 + 0.200641i \(0.0643023\pi\)
−0.979665 + 0.200641i \(0.935698\pi\)
\(132\) 3.32987e9 3.81350e9i 0.954651 1.09330i
\(133\) 4.36839e9i 1.21057i
\(134\) −4.89371e9 + 2.22366e9i −1.31119 + 0.595794i
\(135\) 7.38719e8 0.191416
\(136\) −5.20566e9 1.56080e9i −1.30482 0.391222i
\(137\) 6.09544e8 0.147830 0.0739150 0.997265i \(-0.476451\pi\)
0.0739150 + 0.997265i \(0.476451\pi\)
\(138\) −3.52767e9 + 1.60294e9i −0.828004 + 0.376237i
\(139\) 2.13256e9i 0.484546i −0.970208 0.242273i \(-0.922107\pi\)
0.970208 0.242273i \(-0.0778929\pi\)
\(140\) 1.12243e9 + 9.80085e8i 0.246936 + 0.215619i
\(141\) 2.54865e9i 0.543031i
\(142\) 5.92897e8 + 1.30482e9i 0.122372 + 0.269310i
\(143\) −2.96372e9 −0.592686
\(144\) 1.00655e8 + 7.39945e8i 0.0195076 + 0.143406i
\(145\) −1.57578e9 −0.296032
\(146\) 2.56474e8 + 5.64436e8i 0.0467149 + 0.102808i
\(147\) 8.81984e9i 1.55787i
\(148\) 5.62138e9 + 4.90847e9i 0.963086 + 0.840947i
\(149\) 5.25087e9i 0.872757i 0.899763 + 0.436378i \(0.143739\pi\)
−0.899763 + 0.436378i \(0.856261\pi\)
\(150\) −5.77526e9 + 2.62422e9i −0.931453 + 0.423244i
\(151\) 5.75614e9 0.901022 0.450511 0.892771i \(-0.351242\pi\)
0.450511 + 0.892771i \(0.351242\pi\)
\(152\) 1.45997e9 4.86936e9i 0.221844 0.739905i
\(153\) 1.33630e9 0.197148
\(154\) 1.35099e10 6.13877e9i 1.93557 0.879505i
\(155\) 5.41356e8i 0.0753339i
\(156\) 2.27423e9 2.60454e9i 0.307450 0.352104i
\(157\) 1.51315e10i 1.98763i −0.111070 0.993813i \(-0.535428\pi\)
0.111070 0.993813i \(-0.464572\pi\)
\(158\) 1.13193e9 + 2.49109e9i 0.144498 + 0.318004i
\(159\) −7.42763e9 −0.921644
\(160\) −9.23598e8 1.46761e9i −0.111415 0.177040i
\(161\) −1.13573e10 −1.33217
\(162\) 4.07540e9 + 8.96894e9i 0.464893 + 1.02311i
\(163\) 1.00347e10i 1.11343i 0.830705 + 0.556713i \(0.187938\pi\)
−0.830705 + 0.556713i \(0.812062\pi\)
\(164\) −1.83613e9 + 2.10281e9i −0.198201 + 0.226988i
\(165\) 2.89066e9i 0.303613i
\(166\) 2.70138e9 1.22748e9i 0.276121 0.125467i
\(167\) 9.12880e9 0.908217 0.454108 0.890946i \(-0.349958\pi\)
0.454108 + 0.890946i \(0.349958\pi\)
\(168\) −4.97213e9 + 1.65833e10i −0.481560 + 1.60612i
\(169\) 8.58034e9 0.809123
\(170\) −2.82505e9 + 1.28368e9i −0.259422 + 0.117879i
\(171\) 1.24997e9i 0.111794i
\(172\) −2.23322e9 1.95000e9i −0.194560 0.169886i
\(173\) 6.47969e9i 0.549980i 0.961447 + 0.274990i \(0.0886746\pi\)
−0.961447 + 0.274990i \(0.911325\pi\)
\(174\) −7.57374e9 1.66679e10i −0.626381 1.37851i
\(175\) −1.85934e10 −1.49861
\(176\) −1.71109e10 + 2.32760e9i −1.34421 + 0.182852i
\(177\) 7.06414e9 0.540978
\(178\) −6.46030e9 1.42175e10i −0.482351 1.06153i
\(179\) 1.37068e9i 0.0997923i 0.998754 + 0.0498962i \(0.0158890\pi\)
−0.998754 + 0.0498962i \(0.984111\pi\)
\(180\) 3.21174e8 + 2.80442e8i 0.0228041 + 0.0199121i
\(181\) 1.85728e10i 1.28625i −0.765763 0.643123i \(-0.777638\pi\)
0.765763 0.643123i \(-0.222362\pi\)
\(182\) 9.22699e9 4.19266e9i 0.623360 0.283249i
\(183\) 1.10998e10 0.731621
\(184\) 1.26598e10 + 3.79577e9i 0.814230 + 0.244129i
\(185\) 4.26105e9 0.267451
\(186\) −5.72625e9 + 2.60195e9i −0.350802 + 0.159401i
\(187\) 3.09014e10i 1.84795i
\(188\) 5.71782e9 6.54827e9i 0.333826 0.382311i
\(189\) 2.51567e10i 1.43409i
\(190\) −1.20075e9 2.64255e9i −0.0668437 0.147106i
\(191\) −1.73970e10 −0.945852 −0.472926 0.881102i \(-0.656802\pi\)
−0.472926 + 0.881102i \(0.656802\pi\)
\(192\) 1.10847e10 1.68233e10i 0.588664 0.893421i
\(193\) 3.11955e10 1.61839 0.809197 0.587538i \(-0.199903\pi\)
0.809197 + 0.587538i \(0.199903\pi\)
\(194\) −1.10343e9 2.42837e9i −0.0559288 0.123085i
\(195\) 1.97426e9i 0.0977799i
\(196\) −1.97870e10 + 2.26609e10i −0.957696 + 1.09679i
\(197\) 1.86636e10i 0.882872i −0.897293 0.441436i \(-0.854469\pi\)
0.897293 0.441436i \(-0.145531\pi\)
\(198\) 3.86573e9 1.75655e9i 0.178747 0.0812209i
\(199\) 3.27467e10 1.48023 0.740115 0.672481i \(-0.234771\pi\)
0.740115 + 0.672481i \(0.234771\pi\)
\(200\) 2.07258e10 + 6.21417e9i 0.915958 + 0.274630i
\(201\) −3.56581e10 −1.54091
\(202\) 1.96933e9 8.94844e8i 0.0832217 0.0378152i
\(203\) 5.36623e10i 2.21788i
\(204\) −2.71564e10 2.37124e10i −1.09783 0.958607i
\(205\) 1.59395e9i 0.0630349i
\(206\) 1.71377e10 + 3.77158e10i 0.663055 + 1.45922i
\(207\) −3.24980e9 −0.123024
\(208\) −1.16864e10 + 1.58970e9i −0.432908 + 0.0588885i
\(209\) −2.89051e10 −1.04789
\(210\) 4.08931e9 + 8.99955e9i 0.145099 + 0.319326i
\(211\) 6.63427e9i 0.230421i 0.993341 + 0.115210i \(0.0367543\pi\)
−0.993341 + 0.115210i \(0.963246\pi\)
\(212\) 1.90839e10 + 1.66636e10i 0.648866 + 0.566576i
\(213\) 9.50759e9i 0.316491i
\(214\) 8.21763e9 3.73401e9i 0.267846 0.121707i
\(215\) −1.69280e9 −0.0540296
\(216\) 8.40770e9 2.80417e10i 0.262806 0.876522i
\(217\) −1.84356e10 −0.564403
\(218\) −5.41076e10 + 2.45860e10i −1.62257 + 0.737282i
\(219\) 4.11277e9i 0.120819i
\(220\) −6.48510e9 + 7.42700e9i −0.186644 + 0.213753i
\(221\) 2.11050e10i 0.595142i
\(222\) 2.04801e10 + 4.50716e10i 0.565906 + 1.24542i
\(223\) −6.34852e10 −1.71910 −0.859549 0.511053i \(-0.829256\pi\)
−0.859549 + 0.511053i \(0.829256\pi\)
\(224\) 4.99789e10 3.14527e10i 1.32639 0.834722i
\(225\) −5.32034e9 −0.138394
\(226\) −1.17680e10 2.58984e10i −0.300064 0.660367i
\(227\) 5.09567e10i 1.27375i −0.770966 0.636877i \(-0.780226\pi\)
0.770966 0.636877i \(-0.219774\pi\)
\(228\) 2.21806e10 2.54020e10i 0.543583 0.622532i
\(229\) 1.53720e10i 0.369377i 0.982797 + 0.184689i \(0.0591277\pi\)
−0.982797 + 0.184689i \(0.940872\pi\)
\(230\) 6.87034e9 3.12182e9i 0.161884 0.0735584i
\(231\) 9.84402e10 2.27467
\(232\) −1.79346e10 + 5.98164e10i −0.406440 + 1.35558i
\(233\) 5.78808e10 1.28657 0.643284 0.765628i \(-0.277571\pi\)
0.643284 + 0.765628i \(0.277571\pi\)
\(234\) 2.64022e9 1.19969e9i 0.0575663 0.0261576i
\(235\) 4.96365e9i 0.106168i
\(236\) −1.81499e10 1.58482e10i −0.380865 0.332564i
\(237\) 1.81514e10i 0.373716i
\(238\) −4.37150e10 9.62058e10i −0.883150 1.94359i
\(239\) −5.44879e9 −0.108021 −0.0540106 0.998540i \(-0.517200\pi\)
−0.0540106 + 0.998540i \(0.517200\pi\)
\(240\) −1.55052e9 1.13983e10i −0.0301665 0.221764i
\(241\) 3.35748e10 0.641116 0.320558 0.947229i \(-0.396130\pi\)
0.320558 + 0.947229i \(0.396130\pi\)
\(242\) 1.85476e10 + 4.08186e10i 0.347631 + 0.765049i
\(243\) 1.56148e10i 0.287282i
\(244\) −2.85188e10 2.49021e10i −0.515084 0.449761i
\(245\) 1.71771e10i 0.304581i
\(246\) −1.68601e10 + 7.66107e9i −0.293530 + 0.133377i
\(247\) −1.97416e10 −0.337478
\(248\) 2.05499e10 + 6.16143e9i 0.344966 + 0.103431i
\(249\) 1.96836e10 0.324495
\(250\) 2.30100e10 1.04555e10i 0.372551 0.169284i
\(251\) 8.11855e10i 1.29106i 0.763734 + 0.645531i \(0.223364\pi\)
−0.763734 + 0.645531i \(0.776636\pi\)
\(252\) −9.55033e9 + 1.09374e10i −0.149182 + 0.170849i
\(253\) 7.51501e10i 1.15315i
\(254\) 2.26161e9 + 4.97724e9i 0.0340931 + 0.0750303i
\(255\) −2.05848e10 −0.304871
\(256\) −6.62225e10 + 1.83561e10i −0.963664 + 0.267117i
\(257\) −1.18704e11 −1.69733 −0.848666 0.528930i \(-0.822594\pi\)
−0.848666 + 0.528930i \(0.822594\pi\)
\(258\) −8.13619e9 1.79057e10i −0.114323 0.251596i
\(259\) 1.45108e11i 2.00375i
\(260\) −4.42919e9 + 5.07249e9i −0.0601097 + 0.0688400i
\(261\) 1.53550e10i 0.204817i
\(262\) 2.78642e10 1.26612e10i 0.365334 0.166004i
\(263\) 1.49616e10 0.192832 0.0964158 0.995341i \(-0.469262\pi\)
0.0964158 + 0.995341i \(0.469262\pi\)
\(264\) −1.09729e11 3.29000e10i −1.39029 0.416848i
\(265\) 1.44657e10 0.180191
\(266\) 8.99907e10 4.08909e10i 1.10212 0.500794i
\(267\) 1.03596e11i 1.24751i
\(268\) 9.16166e10 + 7.99978e10i 1.08484 + 0.947265i
\(269\) 6.60058e10i 0.768594i −0.923210 0.384297i \(-0.874444\pi\)
0.923210 0.384297i \(-0.125556\pi\)
\(270\) −6.91489e9 1.52179e10i −0.0791859 0.174268i
\(271\) −5.96531e10 −0.671849 −0.335924 0.941889i \(-0.609049\pi\)
−0.335924 + 0.941889i \(0.609049\pi\)
\(272\) 1.65751e10 + 1.21849e11i 0.183610 + 1.34978i
\(273\) 6.72326e10 0.732568
\(274\) −5.70572e9 1.25569e10i −0.0611552 0.134587i
\(275\) 1.23031e11i 1.29723i
\(276\) 6.60426e10 + 5.76671e10i 0.685068 + 0.598187i
\(277\) 8.76886e10i 0.894920i −0.894304 0.447460i \(-0.852329\pi\)
0.894304 0.447460i \(-0.147671\pi\)
\(278\) −4.39317e10 + 1.99621e10i −0.441140 + 0.200450i
\(279\) −5.27519e9 −0.0521217
\(280\) 9.68350e9 3.22968e10i 0.0941502 0.314014i
\(281\) 2.36402e10 0.226189 0.113095 0.993584i \(-0.463924\pi\)
0.113095 + 0.993584i \(0.463924\pi\)
\(282\) 5.25034e10 2.38571e10i 0.494387 0.224645i
\(283\) 1.27110e11i 1.17799i 0.808138 + 0.588993i \(0.200475\pi\)
−0.808138 + 0.588993i \(0.799525\pi\)
\(284\) 2.13299e10 2.44279e10i 0.194562 0.222820i
\(285\) 1.92550e10i 0.172878i
\(286\) 2.77423e10 + 6.10539e10i 0.245186 + 0.539593i
\(287\) −5.42811e10 −0.472259
\(288\) 1.43010e10 8.99990e9i 0.122490 0.0770852i
\(289\) 1.01465e11 0.855610
\(290\) 1.47503e10 + 3.24617e10i 0.122464 + 0.269513i
\(291\) 1.76943e10i 0.144649i
\(292\) 9.22686e9 1.05670e10i 0.0742730 0.0850604i
\(293\) 1.89715e11i 1.50383i 0.659261 + 0.751914i \(0.270869\pi\)
−0.659261 + 0.751914i \(0.729131\pi\)
\(294\) −1.81693e11 + 8.25594e10i −1.41832 + 0.644471i
\(295\) −1.37578e10 −0.105767
\(296\) 4.84970e10 1.61749e11i 0.367199 1.22470i
\(297\) −1.66459e11 −1.24138
\(298\) 1.08170e11 4.91515e10i 0.794575 0.361047i
\(299\) 5.13260e10i 0.371379i
\(300\) 1.08120e11 + 9.44085e10i 0.770658 + 0.672923i
\(301\) 5.76474e10i 0.404791i
\(302\) −5.38812e10 1.18579e11i −0.372740 0.820308i
\(303\) 1.43495e10 0.0978016
\(304\) −1.13977e11 + 1.55043e10i −0.765397 + 0.104117i
\(305\) −2.16175e10 −0.143040
\(306\) −1.25086e10 2.75284e10i −0.0815575 0.179488i
\(307\) 1.07930e11i 0.693457i −0.937966 0.346729i \(-0.887293\pi\)
0.937966 0.346729i \(-0.112707\pi\)
\(308\) −2.52923e11 2.20847e11i −1.60144 1.39834i
\(309\) 2.74816e11i 1.71486i
\(310\) 1.11522e10 5.06745e9i 0.0685855 0.0311646i
\(311\) 2.31164e11 1.40120 0.700598 0.713556i \(-0.252917\pi\)
0.700598 + 0.713556i \(0.252917\pi\)
\(312\) −7.49430e10 2.24700e10i −0.447750 0.134248i
\(313\) −1.20963e11 −0.712367 −0.356183 0.934416i \(-0.615922\pi\)
−0.356183 + 0.934416i \(0.615922\pi\)
\(314\) −3.11716e11 + 1.41641e11i −1.80957 + 0.822253i
\(315\) 8.29065e9i 0.0474451i
\(316\) 4.07220e10 4.66364e10i 0.229740 0.263108i
\(317\) 5.78132e10i 0.321559i 0.986990 + 0.160779i \(0.0514008\pi\)
−0.986990 + 0.160779i \(0.948599\pi\)
\(318\) 6.95274e10 + 1.53013e11i 0.381271 + 0.839083i
\(319\) 3.55077e11 1.91984
\(320\) −2.15880e10 + 3.27644e10i −0.115090 + 0.174673i
\(321\) 5.98779e10 0.314770
\(322\) 1.06312e11 + 2.33966e11i 0.551101 + 1.21284i
\(323\) 2.05837e11i 1.05223i
\(324\) 1.46616e11 1.67910e11i 0.739142 0.846495i
\(325\) 8.40273e10i 0.417778i
\(326\) 2.06720e11 9.39315e10i 1.01368 0.460609i
\(327\) −3.94256e11 −1.90684
\(328\) 6.05061e10 + 1.81414e10i 0.288647 + 0.0865444i
\(329\) 1.69035e11 0.795416
\(330\) −5.95489e10 + 2.70585e10i −0.276415 + 0.125600i
\(331\) 2.91884e11i 1.33655i −0.743915 0.668274i \(-0.767033\pi\)
0.743915 0.668274i \(-0.232967\pi\)
\(332\) −5.05733e10 4.41596e10i −0.228455 0.199482i
\(333\) 4.15213e10i 0.185043i
\(334\) −8.54515e10 1.88057e11i −0.375717 0.826858i
\(335\) 6.94462e10 0.301264
\(336\) 3.88165e11 5.28021e10i 1.66146 0.226008i
\(337\) −1.08867e11 −0.459791 −0.229895 0.973215i \(-0.573838\pi\)
−0.229895 + 0.973215i \(0.573838\pi\)
\(338\) −8.03176e10 1.76759e11i −0.334723 0.736641i
\(339\) 1.88709e11i 0.776059i
\(340\) 5.28886e10 + 4.61813e10i 0.214638 + 0.187418i
\(341\) 1.21986e11i 0.488558i
\(342\) 2.57500e10 1.17006e10i 0.101779 0.0462476i
\(343\) −1.83220e11 −0.714743
\(344\) −1.92665e10 + 6.42585e10i −0.0741806 + 0.247410i
\(345\) 5.00609e10 0.190245
\(346\) 1.33485e11 6.06541e10i 0.500713 0.227519i
\(347\) 1.21916e11i 0.451416i 0.974195 + 0.225708i \(0.0724696\pi\)
−0.974195 + 0.225708i \(0.927530\pi\)
\(348\) −2.72471e11 + 3.12045e11i −0.995896 + 1.14054i
\(349\) 2.36404e11i 0.852983i 0.904492 + 0.426491i \(0.140251\pi\)
−0.904492 + 0.426491i \(0.859749\pi\)
\(350\) 1.74047e11 + 3.83033e11i 0.619954 + 1.36436i
\(351\) −1.13688e11 −0.399791
\(352\) 2.08119e11 + 3.30704e11i 0.722552 + 1.14815i
\(353\) −1.76095e11 −0.603616 −0.301808 0.953369i \(-0.597590\pi\)
−0.301808 + 0.953369i \(0.597590\pi\)
\(354\) −6.61250e10 1.45525e11i −0.223795 0.492517i
\(355\) 1.85166e10i 0.0618775i
\(356\) −2.32414e11 + 2.66170e11i −0.766899 + 0.878283i
\(357\) 7.01006e11i 2.28410i
\(358\) 2.82366e10 1.28304e10i 0.0908529 0.0412827i
\(359\) −2.58619e11 −0.821743 −0.410872 0.911693i \(-0.634776\pi\)
−0.410872 + 0.911693i \(0.634776\pi\)
\(360\) 2.77084e9 9.24144e9i 0.00869462 0.0289987i
\(361\) 1.30148e11 0.403326
\(362\) −3.82608e11 + 1.73854e11i −1.17102 + 0.532102i
\(363\) 2.97426e11i 0.899081i
\(364\) −1.72741e11 1.50834e11i −0.515751 0.450343i
\(365\) 8.00985e9i 0.0236214i
\(366\) −1.03902e11 2.28661e11i −0.302661 0.666082i
\(367\) 2.80806e10 0.0807997 0.0403998 0.999184i \(-0.487137\pi\)
0.0403998 + 0.999184i \(0.487137\pi\)
\(368\) −4.03096e10 2.96329e11i −0.114576 0.842284i
\(369\) −1.55320e10 −0.0436123
\(370\) −3.98862e10 8.77795e10i −0.110641 0.243492i
\(371\) 4.92624e11i 1.35000i
\(372\) 1.07203e11 + 9.36072e10i 0.290244 + 0.253435i
\(373\) 2.27140e11i 0.607582i −0.952739 0.303791i \(-0.901748\pi\)
0.952739 0.303791i \(-0.0982524\pi\)
\(374\) 6.36582e11 2.89257e11i 1.68241 0.764472i
\(375\) 1.67663e11 0.437820
\(376\) −1.88420e11 5.64936e10i −0.486162 0.145765i
\(377\) 2.42510e11 0.618292
\(378\) 5.18240e11 2.35483e11i 1.30562 0.593262i
\(379\) 7.70802e10i 0.191896i 0.995386 + 0.0959481i \(0.0305883\pi\)
−0.995386 + 0.0959481i \(0.969412\pi\)
\(380\) −4.31979e10 + 4.94719e10i −0.106276 + 0.121712i
\(381\) 3.62667e10i 0.0881752i
\(382\) 1.62847e11 + 3.58385e11i 0.391286 + 0.861122i
\(383\) 6.86276e11 1.62969 0.814844 0.579680i \(-0.196822\pi\)
0.814844 + 0.579680i \(0.196822\pi\)
\(384\) −4.50328e11 7.08722e10i −1.05691 0.166336i
\(385\) −1.91718e11 −0.444722
\(386\) −2.92010e11 6.42641e11i −0.669507 1.47342i
\(387\) 1.64953e10i 0.0373818i
\(388\) −3.96966e10 + 4.54622e10i −0.0889224 + 0.101837i
\(389\) 3.92836e11i 0.869837i 0.900470 + 0.434919i \(0.143223\pi\)
−0.900470 + 0.434919i \(0.856777\pi\)
\(390\) −4.06707e10 + 1.84804e10i −0.0890207 + 0.0404502i
\(391\) −5.35154e11 −1.15793
\(392\) 6.52043e11 + 1.95501e11i 1.39473 + 0.418178i
\(393\) 2.03033e11 0.429338
\(394\) −3.84479e11 + 1.74703e11i −0.803784 + 0.365232i
\(395\) 3.53508e10i 0.0730655i
\(396\) −7.23715e10 6.31934e10i −0.147890 0.129135i
\(397\) 3.27648e11i 0.661988i 0.943633 + 0.330994i \(0.107384\pi\)
−0.943633 + 0.330994i \(0.892616\pi\)
\(398\) −3.06531e11 6.74597e11i −0.612350 1.34763i
\(399\) 6.55719e11 1.29521
\(400\) −6.59920e10 4.85129e11i −0.128891 0.947517i
\(401\) 8.62754e11 1.66624 0.833120 0.553093i \(-0.186553\pi\)
0.833120 + 0.553093i \(0.186553\pi\)
\(402\) 3.33783e11 + 7.34573e11i 0.637451 + 1.40287i
\(403\) 8.33142e10i 0.157343i
\(404\) −3.68683e10 3.21927e10i −0.0688553 0.0601231i
\(405\) 1.27277e11i 0.235073i
\(406\) −1.10547e12 + 5.02314e11i −2.01920 + 0.917504i
\(407\) −9.60162e11 −1.73448
\(408\) −2.34285e11 + 7.81398e11i −0.418576 + 1.39605i
\(409\) −7.29199e11 −1.28852 −0.644260 0.764807i \(-0.722834\pi\)
−0.644260 + 0.764807i \(0.722834\pi\)
\(410\) 3.28360e10 1.49204e10i 0.0573882 0.0260767i
\(411\) 9.14959e10i 0.158166i
\(412\) 6.16541e11 7.06088e11i 1.05420 1.20732i
\(413\) 4.68516e11i 0.792408i
\(414\) 3.04202e10 + 6.69473e10i 0.0508933 + 0.112003i
\(415\) −3.83350e10 −0.0634423
\(416\) 1.42141e11 + 2.25864e11i 0.232701 + 0.369767i
\(417\) −3.20109e11 −0.518425
\(418\) 2.70570e11 + 5.95457e11i 0.433498 + 0.954020i
\(419\) 9.24005e11i 1.46457i −0.680997 0.732286i \(-0.738453\pi\)
0.680997 0.732286i \(-0.261547\pi\)
\(420\) 1.47116e11 1.68483e11i 0.230695 0.264201i
\(421\) 9.91623e11i 1.53843i 0.638991 + 0.769214i \(0.279352\pi\)
−0.638991 + 0.769214i \(0.720648\pi\)
\(422\) 1.36669e11 6.21010e10i 0.209780 0.0953219i
\(423\) 4.83677e10 0.0734554
\(424\) 1.64641e11 5.49118e11i 0.247396 0.825125i
\(425\) −8.76117e11 −1.30260
\(426\) 1.95860e11 8.89972e10i 0.288140 0.130928i
\(427\) 7.36175e11i 1.07166i
\(428\) −1.53845e11 1.34334e11i −0.221608 0.193504i
\(429\) 4.44870e11i 0.634126i
\(430\) 1.58457e10 + 3.48724e10i 0.0223513 + 0.0491896i
\(431\) 9.73542e10 0.135896 0.0679481 0.997689i \(-0.478355\pi\)
0.0679481 + 0.997689i \(0.478355\pi\)
\(432\) −6.56374e11 + 8.92865e10i −0.906722 + 0.123341i
\(433\) 1.47830e11 0.202100 0.101050 0.994881i \(-0.467780\pi\)
0.101050 + 0.994881i \(0.467780\pi\)
\(434\) 1.72569e11 + 3.79782e11i 0.233486 + 0.513844i
\(435\) 2.36533e11i 0.316730i
\(436\) 1.01296e12 + 8.84500e11i 1.34247 + 1.17222i
\(437\) 5.00582e11i 0.656611i
\(438\) 8.47249e10 3.84982e10i 0.109996 0.0499812i
\(439\) 4.93675e11 0.634381 0.317191 0.948362i \(-0.397260\pi\)
0.317191 + 0.948362i \(0.397260\pi\)
\(440\) 2.13704e11 + 6.40745e10i 0.271817 + 0.0814983i
\(441\) −1.67381e11 −0.210732
\(442\) 4.34773e11 1.97557e11i 0.541829 0.246202i
\(443\) 3.53853e10i 0.0436522i −0.999762 0.0218261i \(-0.993052\pi\)
0.999762 0.0218261i \(-0.00694801\pi\)
\(444\) 7.36789e11 8.43800e11i 0.899745 1.03042i
\(445\) 2.01759e11i 0.243901i
\(446\) 5.94263e11 + 1.30782e12i 0.711167 + 1.56510i
\(447\) 7.88185e11 0.933779
\(448\) −1.11577e12 7.35170e11i −1.30866 0.862258i
\(449\) −2.44259e11 −0.283623 −0.141812 0.989894i \(-0.545293\pi\)
−0.141812 + 0.989894i \(0.545293\pi\)
\(450\) 4.98018e10 + 1.09601e11i 0.0572518 + 0.125997i
\(451\) 3.59171e11i 0.408796i
\(452\) −4.23363e11 + 4.84852e11i −0.477078 + 0.546369i
\(453\) 8.64029e11i 0.964021i
\(454\) −1.04973e12 + 4.76988e11i −1.15965 + 0.526934i
\(455\) −1.30939e11 −0.143225
\(456\) −7.30918e11 2.19150e11i −0.791638 0.237355i
\(457\) 1.16957e12 1.25431 0.627154 0.778895i \(-0.284220\pi\)
0.627154 + 0.778895i \(0.284220\pi\)
\(458\) 3.16670e11 1.43892e11i 0.336288 0.152806i
\(459\) 1.18538e12i 1.24652i
\(460\) −1.28622e11 1.12310e11i −0.133938 0.116952i
\(461\) 8.92772e11i 0.920633i −0.887755 0.460317i \(-0.847736\pi\)
0.887755 0.460317i \(-0.152264\pi\)
\(462\) −9.21464e11 2.02791e12i −0.941000 2.07090i
\(463\) 7.55549e11 0.764097 0.382048 0.924142i \(-0.375219\pi\)
0.382048 + 0.924142i \(0.375219\pi\)
\(464\) 1.40012e12 1.90459e11i 1.40228 0.190752i
\(465\) 8.12606e10 0.0806012
\(466\) −5.41802e11 1.19237e12i −0.532235 1.17132i
\(467\) 7.06860e11i 0.687713i 0.939022 + 0.343857i \(0.111733\pi\)
−0.939022 + 0.343857i \(0.888267\pi\)
\(468\) −4.94283e10 4.31598e10i −0.0476287 0.0415885i
\(469\) 2.36496e12i 2.25707i
\(470\) −1.02253e11 + 4.64629e10i −0.0966578 + 0.0439204i
\(471\) −2.27133e12 −2.12660
\(472\) −1.56584e11 + 5.22246e11i −0.145214 + 0.484324i
\(473\) 3.81446e11 0.350395
\(474\) 3.73926e11 1.69909e11i 0.340239 0.154601i
\(475\) 8.19517e11i 0.738647i
\(476\) −1.57268e12 + 1.80110e12i −1.40414 + 1.60807i
\(477\) 1.40960e11i 0.124670i
\(478\) 5.10042e10 + 1.12247e11i 0.0446869 + 0.0983447i
\(479\) −1.32511e12 −1.15012 −0.575061 0.818111i \(-0.695022\pi\)
−0.575061 + 0.818111i \(0.695022\pi\)
\(480\) −2.20297e11 + 1.38637e11i −0.189419 + 0.119205i
\(481\) −6.55771e11 −0.558598
\(482\) −3.14282e11 6.91656e11i −0.265221 0.583685i
\(483\) 1.70480e12i 1.42532i
\(484\) 6.67264e11 7.64178e11i 0.552706 0.632980i
\(485\) 3.44607e10i 0.0282805i
\(486\) 3.21672e11 1.46165e11i 0.261547 0.118845i
\(487\) 1.69922e12 1.36889 0.684446 0.729064i \(-0.260044\pi\)
0.684446 + 0.729064i \(0.260044\pi\)
\(488\) −2.46039e11 + 8.20601e11i −0.196388 + 0.655002i
\(489\) 1.50627e12 1.19128
\(490\) 3.53856e11 1.60789e11i 0.277297 0.126001i
\(491\) 1.61014e12i 1.25025i 0.780525 + 0.625125i \(0.214952\pi\)
−0.780525 + 0.625125i \(0.785048\pi\)
\(492\) 3.15643e11 + 2.75613e11i 0.242858 + 0.212059i
\(493\) 2.52855e12i 1.92779i
\(494\) 1.84794e11 + 4.06685e11i 0.139610 + 0.307247i
\(495\) −5.48582e10 −0.0410694
\(496\) −6.54319e10 4.81011e11i −0.0485425 0.356852i
\(497\) 6.30572e11 0.463587
\(498\) −1.84252e11 4.05492e11i −0.134239 0.295427i
\(499\) 1.12530e12i 0.812489i −0.913764 0.406244i \(-0.866838\pi\)
0.913764 0.406244i \(-0.133162\pi\)
\(500\) −4.30776e11 3.76145e11i −0.308238 0.269148i
\(501\) 1.37028e12i 0.971718i
\(502\) 1.67246e12 7.59949e11i 1.17541 0.534094i
\(503\) −3.27201e11 −0.227908 −0.113954 0.993486i \(-0.536352\pi\)
−0.113954 + 0.993486i \(0.536352\pi\)
\(504\) 3.14713e11 + 9.43597e10i 0.217259 + 0.0651402i
\(505\) −2.79465e10 −0.0191213
\(506\) −1.54813e12 + 7.03454e11i −1.04985 + 0.477044i
\(507\) 1.28796e12i 0.865696i
\(508\) 8.13632e10 9.31804e10i 0.0542053 0.0620780i
\(509\) 1.78571e12i 1.17918i −0.807701 0.589592i \(-0.799289\pi\)
0.807701 0.589592i \(-0.200711\pi\)
\(510\) 1.92687e11 + 4.24056e11i 0.126121 + 0.277560i
\(511\) 2.72772e11 0.176972
\(512\) 9.98030e11 + 1.19239e12i 0.641843 + 0.766836i
\(513\) −1.10880e12 −0.706845
\(514\) 1.11115e12 + 2.44536e12i 0.702162 + 1.54528i
\(515\) 5.35220e11i 0.335274i
\(516\) −2.92706e11 + 3.35218e11i −0.181764 + 0.208163i
\(517\) 1.11848e12i 0.688528i
\(518\) 2.98929e12 1.35831e12i 1.82425 0.828922i
\(519\) 9.72637e11 0.588434
\(520\) 1.45956e11 + 4.37616e10i 0.0875398 + 0.0262469i
\(521\) −2.62743e12 −1.56229 −0.781145 0.624350i \(-0.785364\pi\)
−0.781145 + 0.624350i \(0.785364\pi\)
\(522\) −3.16319e11 + 1.43732e11i −0.186470 + 0.0847300i
\(523\) 1.74460e12i 1.01962i 0.860288 + 0.509808i \(0.170284\pi\)
−0.860288 + 0.509808i \(0.829716\pi\)
\(524\) −5.21653e11 4.55497e11i −0.302267 0.263934i
\(525\) 2.79098e12i 1.60339i
\(526\) −1.40051e11 3.08216e11i −0.0797717 0.175558i
\(527\) −8.68681e11 −0.490583
\(528\) 3.49385e11 + 2.56844e12i 0.195637 + 1.43819i
\(529\) −4.99693e11 −0.277430
\(530\) −1.35409e11 2.98000e11i −0.0745426 0.164050i
\(531\) 1.34061e11i 0.0731777i
\(532\) −1.68474e12 1.47108e12i −0.911866 0.796223i
\(533\) 2.45307e11i 0.131655i
\(534\) −2.13413e12 + 9.69727e11i −1.13575 + 0.516076i
\(535\) −1.16616e11 −0.0615410
\(536\) 7.90399e11 2.63617e12i 0.413623 1.37953i
\(537\) 2.05746e11 0.106770
\(538\) −1.35975e12 + 6.17857e11i −0.699743 + 0.317957i
\(539\) 3.87060e12i 1.97528i
\(540\) −2.48768e11 + 2.84899e11i −0.125899 + 0.144185i
\(541\) 4.60286e11i 0.231015i 0.993307 + 0.115508i \(0.0368495\pi\)
−0.993307 + 0.115508i \(0.963151\pi\)
\(542\) 5.58392e11 + 1.22888e12i 0.277934 + 0.611664i
\(543\) −2.78788e12 −1.37618
\(544\) 2.35499e12 1.48204e12i 1.15291 0.725546i
\(545\) 7.67836e11 0.372807
\(546\) −6.29341e11 1.38502e12i −0.303053 0.666945i
\(547\) 5.60408e11i 0.267646i 0.991005 + 0.133823i \(0.0427254\pi\)
−0.991005 + 0.133823i \(0.957275\pi\)
\(548\) −2.05268e11 + 2.35081e11i −0.0972318 + 0.111354i
\(549\) 2.10650e11i 0.0989658i
\(550\) −2.53448e12 + 1.15165e12i −1.18102 + 0.536645i
\(551\) 2.36520e12 1.09316
\(552\) 5.69766e11 1.90031e12i 0.261198 0.871161i
\(553\) 1.20386e12 0.547408
\(554\) −1.80642e12 + 8.20822e11i −0.814753 + 0.370216i
\(555\) 6.39607e11i 0.286151i
\(556\) 8.22458e11 + 7.18154e11i 0.364987 + 0.318699i
\(557\) 3.67343e12i 1.61705i 0.588462 + 0.808525i \(0.299734\pi\)
−0.588462 + 0.808525i \(0.700266\pi\)
\(558\) 4.93791e10 + 1.08671e11i 0.0215620 + 0.0474526i
\(559\) 2.60520e11 0.112846
\(560\) −7.55973e11 + 1.02835e11i −0.324833 + 0.0441870i
\(561\) 4.63847e12 1.97716
\(562\) −2.21287e11 4.86998e11i −0.0935713 0.205927i
\(563\) 7.28222e11i 0.305475i 0.988267 + 0.152738i \(0.0488089\pi\)
−0.988267 + 0.152738i \(0.951191\pi\)
\(564\) −9.82932e11 8.58276e11i −0.409042 0.357167i
\(565\) 3.67522e11i 0.151728i
\(566\) 2.61852e12 1.18983e12i 1.07246 0.487316i
\(567\) 4.33437e12 1.76117
\(568\) −7.02888e11 2.10745e11i −0.283347 0.0849553i
\(569\) −3.21622e12 −1.28629 −0.643147 0.765742i \(-0.722372\pi\)
−0.643147 + 0.765742i \(0.722372\pi\)
\(570\) −3.96661e11 + 1.80239e11i −0.157392 + 0.0715174i
\(571\) 9.17863e11i 0.361339i 0.983544 + 0.180670i \(0.0578265\pi\)
−0.983544 + 0.180670i \(0.942174\pi\)
\(572\) 9.98051e11 1.14301e12i 0.389826 0.446444i
\(573\) 2.61138e12i 1.01199i
\(574\) 5.08106e11 + 1.11821e12i 0.195367 + 0.429953i
\(575\) 2.13066e12 0.812846
\(576\) −3.19268e11 2.10362e11i −0.120852 0.0796281i
\(577\) −3.29707e12 −1.23833 −0.619167 0.785260i \(-0.712529\pi\)
−0.619167 + 0.785260i \(0.712529\pi\)
\(578\) −9.49778e11 2.09022e12i −0.353954 0.778964i
\(579\) 4.68262e12i 1.73155i
\(580\) 5.30653e11 6.07725e11i 0.194708 0.222988i
\(581\) 1.30548e12i 0.475311i
\(582\) −3.64511e11 + 1.65630e11i −0.131691 + 0.0598393i
\(583\) −3.25963e12 −1.16858
\(584\) −3.04054e11 9.11638e10i −0.108166 0.0324313i
\(585\) −3.74671e10 −0.0132266
\(586\) 3.90822e12 1.77586e12i 1.36911 0.622113i
\(587\) 4.56218e12i 1.58599i 0.609227 + 0.792996i \(0.291480\pi\)
−0.609227 + 0.792996i \(0.708520\pi\)
\(588\) 3.40152e12 + 2.97014e12i 1.17348 + 1.02466i
\(589\) 8.12562e11i 0.278187i
\(590\) 1.28782e11 + 2.83417e11i 0.0437543 + 0.0962924i
\(591\) −2.80151e12 −0.944602
\(592\) −3.78607e12 + 5.15019e11i −1.26690 + 0.172336i
\(593\) 3.34603e12 1.11118 0.555590 0.831457i \(-0.312493\pi\)
0.555590 + 0.831457i \(0.312493\pi\)
\(594\) 1.55816e12 + 3.42913e12i 0.513540 + 1.13017i
\(595\) 1.36525e12i 0.446565i
\(596\) −2.02509e12 1.76827e12i −0.657409 0.574036i
\(597\) 4.91546e12i 1.58373i
\(598\) −1.05734e12 + 4.80445e11i −0.338111 + 0.153634i
\(599\) 3.92344e12 1.24522 0.622610 0.782532i \(-0.286072\pi\)
0.622610 + 0.782532i \(0.286072\pi\)
\(600\) 9.32781e11 3.11105e12i 0.293832 0.980002i
\(601\) −1.68334e12 −0.526305 −0.263153 0.964754i \(-0.584762\pi\)
−0.263153 + 0.964754i \(0.584762\pi\)
\(602\) −1.18756e12 + 5.39617e11i −0.368530 + 0.167456i
\(603\) 6.76710e11i 0.208437i
\(604\) −1.93842e12 + 2.21995e12i −0.592627 + 0.678700i
\(605\) 5.79253e11i 0.175780i
\(606\) −1.34321e11 2.95607e11i −0.0404592 0.0890405i
\(607\) −4.88789e12 −1.46141 −0.730706 0.682692i \(-0.760809\pi\)
−0.730706 + 0.682692i \(0.760809\pi\)
\(608\) 1.38630e12 + 2.20285e12i 0.411424 + 0.653761i
\(609\) −8.05501e12 −2.37295
\(610\) 2.02354e11 + 4.45331e11i 0.0591736 + 0.130226i
\(611\) 7.63900e11i 0.221744i
\(612\) −4.50008e11 + 5.15367e11i −0.129670 + 0.148503i
\(613\) 3.80258e12i 1.08769i −0.839185 0.543846i \(-0.816967\pi\)
0.839185 0.543846i \(-0.183033\pi\)
\(614\) −2.22341e12 + 1.01029e12i −0.631337 + 0.286874i
\(615\) 2.39260e11 0.0674423
\(616\) −2.18203e12 + 7.27760e12i −0.610586 + 2.03646i
\(617\) 7.15842e12 1.98854 0.994270 0.106902i \(-0.0340932\pi\)
0.994270 + 0.106902i \(0.0340932\pi\)
\(618\) 5.66134e12 2.57246e12i 1.56125 0.709415i
\(619\) 4.99966e12i 1.36878i −0.729118 0.684388i \(-0.760070\pi\)
0.729118 0.684388i \(-0.239930\pi\)
\(620\) −2.08783e11 1.82305e11i −0.0567457 0.0495492i
\(621\) 2.88276e12i 0.777850i
\(622\) −2.16385e12 4.76209e12i −0.579655 1.27568i
\(623\) −6.87082e12 −1.82731
\(624\) 2.38623e11 + 1.75419e12i 0.0630059 + 0.463177i
\(625\) 3.32125e12 0.870645
\(626\) 1.13229e12 + 2.49190e12i 0.294696 + 0.648553i
\(627\) 4.33881e12i 1.12116i
\(628\) 5.83573e12 + 5.09564e12i 1.49719 + 1.30732i
\(629\) 6.83744e12i 1.74167i
\(630\) 1.70791e11 7.76059e10i 0.0431949 0.0196274i
\(631\) 3.31885e12 0.833403 0.416702 0.909043i \(-0.363186\pi\)
0.416702 + 0.909043i \(0.363186\pi\)
\(632\) −1.34192e12 4.02344e11i −0.334579 0.100316i
\(633\) 9.95840e11 0.246532
\(634\) 1.19098e12 5.41169e11i 0.292753 0.133024i
\(635\) 7.06315e10i 0.0172392i
\(636\) 2.50130e12 2.86459e12i 0.606191 0.694234i
\(637\) 2.64354e12i 0.636149i
\(638\) −3.32375e12 7.31474e12i −0.794210 1.74786i
\(639\) 1.80432e11 0.0428115
\(640\) 8.77038e11 + 1.38028e11i 0.206637 + 0.0325204i
\(641\) −6.76534e11 −0.158281 −0.0791404 0.996863i \(-0.525218\pi\)
−0.0791404 + 0.996863i \(0.525218\pi\)
\(642\) −5.60496e11 1.23351e12i −0.130216 0.286573i
\(643\) 2.51359e12i 0.579889i 0.957044 + 0.289944i \(0.0936368\pi\)
−0.957044 + 0.289944i \(0.906363\pi\)
\(644\) 3.82466e12 4.38015e12i 0.876206 1.00347i
\(645\) 2.54098e11i 0.0578073i
\(646\) 4.24033e12 1.92677e12i 0.957973 0.435294i
\(647\) 1.44698e12 0.324634 0.162317 0.986739i \(-0.448103\pi\)
0.162317 + 0.986739i \(0.448103\pi\)
\(648\) −4.83144e12 1.44860e12i −1.07644 0.322746i
\(649\) 3.10011e12 0.685924
\(650\) −1.73100e12 + 7.86550e11i −0.380353 + 0.172829i
\(651\) 2.76729e12i 0.603866i
\(652\) −3.87006e12 3.37926e12i −0.838694 0.732331i
\(653\) 3.39613e12i 0.730928i −0.930825 0.365464i \(-0.880910\pi\)
0.930825 0.365464i \(-0.119090\pi\)
\(654\) 3.69049e12 + 8.12185e12i 0.788832 + 1.73602i
\(655\) −3.95418e11 −0.0839402
\(656\) −1.92655e11 1.41627e12i −0.0406175 0.298592i
\(657\) 7.80510e10 0.0163431
\(658\) −1.58227e12 3.48219e12i −0.329052 0.724162i
\(659\) 2.73212e12i 0.564308i −0.959369 0.282154i \(-0.908951\pi\)
0.959369 0.282154i \(-0.0910489\pi\)
\(660\) 1.11483e12 + 9.73450e11i 0.228698 + 0.199694i
\(661\) 3.29057e12i 0.670448i −0.942138 0.335224i \(-0.891188\pi\)
0.942138 0.335224i \(-0.108812\pi\)
\(662\) −6.01294e12 + 2.73222e12i −1.21682 + 0.552911i
\(663\) 3.16798e12 0.636754
\(664\) −4.36308e11 + 1.45519e12i −0.0871038 + 0.290512i
\(665\) −1.27705e12 −0.253227
\(666\) 8.55358e11 3.88666e11i 0.168467 0.0765496i
\(667\) 6.14926e12i 1.20298i
\(668\) −3.07418e12 + 3.52068e12i −0.597359 + 0.684119i
\(669\) 9.52948e12i 1.83930i
\(670\) −6.50061e11 1.43062e12i −0.124629 0.274276i
\(671\) 4.87118e12 0.927647
\(672\) −4.72122e12 7.50211e12i −0.893085 1.41913i
\(673\) 3.00500e11 0.0564646 0.0282323 0.999601i \(-0.491012\pi\)
0.0282323 + 0.999601i \(0.491012\pi\)
\(674\) 1.01906e12 + 2.24270e12i 0.190209 + 0.418602i
\(675\) 4.71945e12i 0.875033i
\(676\) −2.88949e12 + 3.30915e12i −0.532182 + 0.609476i
\(677\) 8.63566e12i 1.57996i 0.613132 + 0.789981i \(0.289909\pi\)
−0.613132 + 0.789981i \(0.710091\pi\)
\(678\) −3.88750e12 + 1.76644e12i −0.706539 + 0.321045i
\(679\) −1.17354e12 −0.211878
\(680\) 4.56283e11 1.52182e12i 0.0818360 0.272943i
\(681\) −7.64889e12 −1.36281
\(682\) −2.51297e12 + 1.14187e12i −0.444793 + 0.202110i
\(683\) 4.86440e12i 0.855335i −0.903936 0.427668i \(-0.859335\pi\)
0.903936 0.427668i \(-0.140665\pi\)
\(684\) −4.82073e11 4.20937e11i −0.0842094 0.0735299i
\(685\) 1.78193e11i 0.0309232i
\(686\) 1.71506e12 + 3.77442e12i 0.295679 + 0.650716i
\(687\) 2.30742e12 0.395204
\(688\) 1.50410e12 2.04603e11i 0.255935 0.0348148i
\(689\) −2.22626e12 −0.376348
\(690\) −4.68602e11 1.03128e12i −0.0787016 0.173202i
\(691\) 8.78244e11i 0.146543i 0.997312 + 0.0732713i \(0.0233439\pi\)
−0.997312 + 0.0732713i \(0.976656\pi\)
\(692\) −2.49900e12 2.18208e12i −0.414276 0.361737i
\(693\) 1.86817e12i 0.307693i
\(694\) 2.51152e12 1.14121e12i 0.410978 0.186745i
\(695\) 6.23430e11 0.101358
\(696\) 8.97877e12 + 2.69209e12i 1.45036 + 0.434858i
\(697\) −2.55771e12 −0.410490
\(698\) 4.87003e12 2.21289e12i 0.776572 0.352867i
\(699\) 8.68822e12i 1.37652i
\(700\) 6.26147e12 7.17088e12i 0.985677 1.12884i
\(701\) 3.76755e12i 0.589288i −0.955607 0.294644i \(-0.904799\pi\)
0.955607 0.294644i \(-0.0952011\pi\)
\(702\) 1.06419e12 + 2.34202e12i 0.165388 + 0.363977i
\(703\) −6.39573e12 −0.987622
\(704\) 4.86453e12 7.38294e12i 0.746387 1.13280i
\(705\) −7.45071e11 −0.113592
\(706\) 1.64836e12 + 3.62764e12i 0.249708 + 0.549544i
\(707\) 9.51706e11i 0.143257i
\(708\) −2.37890e12 + 2.72441e12i −0.355816 + 0.407495i
\(709\) 6.49276e11i 0.0964986i 0.998835 + 0.0482493i \(0.0153642\pi\)
−0.998835 + 0.0482493i \(0.984636\pi\)
\(710\) −3.81449e11 + 1.73327e11i −0.0563345 + 0.0255978i
\(711\) 3.44472e11 0.0505523
\(712\) 7.65878e12 + 2.29632e12i 1.11686 + 0.334866i
\(713\) 2.11257e12 0.306132
\(714\) −1.44410e13 + 6.56187e12i −2.07949 + 0.944899i
\(715\) 8.66409e11i 0.123978i
\(716\) −5.28626e11 4.61585e11i −0.0751691 0.0656362i
\(717\) 8.17893e11i 0.115574i
\(718\) 2.42084e12 + 5.32767e12i 0.339944 + 0.748131i
\(719\) −3.35865e12 −0.468689 −0.234344 0.972154i \(-0.575294\pi\)
−0.234344 + 0.972154i \(0.575294\pi\)
\(720\) −2.16315e11 + 2.94253e10i −0.0299978 + 0.00408060i
\(721\) 1.82267e13 2.51188
\(722\) −1.21827e12 2.68112e12i −0.166850 0.367196i
\(723\) 5.03976e12i 0.685942i
\(724\) 7.16292e12 + 6.25452e12i 0.968873 + 0.846000i
\(725\) 1.00671e13i 1.35327i
\(726\) 6.12710e12 2.78410e12i 0.818541 0.371937i
\(727\) 7.42904e11 0.0986342 0.0493171 0.998783i \(-0.484296\pi\)
0.0493171 + 0.998783i \(0.484296\pi\)
\(728\) −1.49028e12 + 4.97045e12i −0.196642 + 0.655850i
\(729\) −6.22563e12 −0.816413
\(730\) −1.65006e11 + 7.49774e10i −0.0215054 + 0.00977186i
\(731\) 2.71633e12i 0.351847i
\(732\) −3.73794e12 + 4.28084e12i −0.481208 + 0.551098i
\(733\) 1.31480e13i 1.68226i −0.540832 0.841130i \(-0.681891\pi\)
0.540832 0.841130i \(-0.318109\pi\)
\(734\) −2.62853e11 5.78474e11i −0.0334257 0.0735616i
\(735\) 2.57838e12 0.325877
\(736\) −5.72718e12 + 3.60422e12i −0.719434 + 0.452753i
\(737\) −1.56486e13 −1.95377
\(738\) 1.45390e11 + 3.19966e11i 0.0180418 + 0.0397055i
\(739\) 4.12361e12i 0.508602i 0.967125 + 0.254301i \(0.0818454\pi\)
−0.967125 + 0.254301i \(0.918155\pi\)
\(740\) −1.43494e12 + 1.64335e12i −0.175910 + 0.201459i
\(741\) 2.96332e12i 0.361074i
\(742\) 1.01483e13 4.61127e12i 1.22906 0.558475i
\(743\) −8.36687e11 −0.100719 −0.0503597 0.998731i \(-0.516037\pi\)
−0.0503597 + 0.998731i \(0.516037\pi\)
\(744\) 9.24864e11 3.08465e12i 0.110662 0.369086i
\(745\) −1.53503e12 −0.182564
\(746\) −4.67919e12 + 2.12618e12i −0.553154 + 0.251348i
\(747\) 3.73551e11i 0.0438942i
\(748\) −1.19176e13 1.04062e13i −1.39198 1.21545i
\(749\) 3.97129e12i 0.461066i
\(750\) −1.56943e12 3.45392e12i −0.181120 0.398600i
\(751\) 5.28606e12 0.606390 0.303195 0.952928i \(-0.401947\pi\)
0.303195 + 0.952928i \(0.401947\pi\)
\(752\) 5.99939e11 + 4.41035e12i 0.0684112 + 0.502913i
\(753\) 1.21864e13 1.38133
\(754\) −2.27005e12 4.99582e12i −0.255779 0.562906i
\(755\) 1.68274e12i 0.188476i
\(756\) −9.70212e12 8.47169e12i −1.08024 0.943240i
\(757\) 1.04605e12i 0.115777i 0.998323 + 0.0578884i \(0.0184368\pi\)
−0.998323 + 0.0578884i \(0.981563\pi\)
\(758\) 1.58789e12 7.21521e11i 0.174706 0.0793848i
\(759\) −1.12804e13 −1.23378
\(760\) 1.42350e12 + 4.26806e11i 0.154774 + 0.0464055i
\(761\) −6.96339e11 −0.0752644 −0.0376322 0.999292i \(-0.511982\pi\)
−0.0376322 + 0.999292i \(0.511982\pi\)
\(762\) 7.47111e11 3.39480e11i 0.0802764 0.0364768i
\(763\) 2.61483e13i 2.79308i
\(764\) 5.85854e12 6.70943e12i 0.622113 0.712468i
\(765\) 3.90653e11i 0.0412396i
\(766\) −6.42399e12 1.41376e13i −0.674179 1.48370i
\(767\) 2.11731e12 0.220905
\(768\) 2.75536e12 + 9.94036e12i 0.285794 + 1.03104i
\(769\) −1.48499e13 −1.53128 −0.765642 0.643267i \(-0.777579\pi\)
−0.765642 + 0.643267i \(0.777579\pi\)
\(770\) 1.79460e12 + 3.94947e12i 0.183975 + 0.404884i
\(771\) 1.78181e13i 1.81601i
\(772\) −1.05053e13 + 1.20311e13i −1.06446 + 1.21906i
\(773\) 1.26481e13i 1.27414i −0.770804 0.637072i \(-0.780145\pi\)
0.770804 0.637072i \(-0.219855\pi\)
\(774\) −3.39810e11 + 1.54406e11i −0.0340331 +