Newspace parameters
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 8.4 | ||
Character | \(\chi\) | \(=\) | 17.8 |
Dual form | 17.10.d.a.15.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −14.5474 | + | 14.5474i | −0.642911 | + | 0.642911i | −0.951270 | − | 0.308359i | \(-0.900220\pi\) |
0.308359 | + | 0.951270i | \(0.400220\pi\) | |||||||
\(3\) | 32.3594 | − | 78.1225i | 0.230651 | − | 0.556840i | −0.765603 | − | 0.643313i | \(-0.777559\pi\) |
0.996254 | + | 0.0864725i | \(0.0275595\pi\) | |||||||
\(4\) | 88.7454i | 0.173331i | ||||||||
\(5\) | 31.3399 | + | 12.9814i | 0.0224250 | + | 0.00928875i | 0.393868 | − | 0.919167i | \(-0.371137\pi\) |
−0.371443 | + | 0.928456i | \(0.621137\pi\) | |||||||
\(6\) | 665.735 | + | 1607.23i | 0.209711 | + | 0.506287i | ||||
\(7\) | −4774.06 | + | 1977.48i | −0.751531 | + | 0.311294i | −0.725366 | − | 0.688363i | \(-0.758329\pi\) |
−0.0261648 | + | 0.999658i | \(0.508329\pi\) | |||||||
\(8\) | −8739.29 | − | 8739.29i | −0.754347 | − | 0.754347i | ||||
\(9\) | 8861.98 | + | 8861.98i | 0.450235 | + | 0.450235i | ||||
\(10\) | −644.761 | + | 267.069i | −0.0203891 | + | 0.00844545i | ||||
\(11\) | −25659.9 | − | 61948.5i | −0.528431 | − | 1.27575i | −0.932551 | − | 0.361039i | \(-0.882422\pi\) |
0.404120 | − | 0.914706i | \(-0.367578\pi\) | |||||||
\(12\) | 6933.01 | + | 2871.75i | 0.0965176 | + | 0.0399789i | ||||
\(13\) | − | 194911.i | − | 1.89274i | −0.323081 | − | 0.946371i | \(-0.604719\pi\) | ||
0.323081 | − | 0.946371i | \(-0.395281\pi\) | |||||||
\(14\) | 40683.0 | − | 98217.5i | 0.283033 | − | 0.683302i | ||||
\(15\) | 2028.28 | − | 2028.28i | 0.0103447 | − | 0.0103447i | ||||
\(16\) | 208831. | 0.796626 | ||||||||
\(17\) | −320627. | − | 125643.i | −0.931065 | − | 0.364854i | ||||
\(18\) | −257838. | −0.578923 | ||||||||
\(19\) | −328794. | + | 328794.i | −0.578806 | + | 0.578806i | −0.934574 | − | 0.355769i | \(-0.884219\pi\) |
0.355769 | + | 0.934574i | \(0.384219\pi\) | |||||||
\(20\) | −1152.04 | + | 2781.27i | −0.00161003 | + | 0.00388695i | ||||
\(21\) | 436952.i | 0.490283i | ||||||||
\(22\) | 1.27448e6 | + | 527906.i | 1.15992 | + | 0.480457i | ||||
\(23\) | 144382. | + | 348570.i | 0.107582 | + | 0.259725i | 0.968498 | − | 0.249021i | \(-0.0801089\pi\) |
−0.860916 | + | 0.508747i | \(0.830109\pi\) | |||||||
\(24\) | −965534. | + | 399937.i | −0.594042 | + | 0.246060i | ||||
\(25\) | −1.38025e6 | − | 1.38025e6i | −0.706690 | − | 0.706690i | ||||
\(26\) | 2.83545e6 | + | 2.83545e6i | 1.21687 | + | 1.21687i | ||||
\(27\) | 2.51678e6 | − | 1.04248e6i | 0.911397 | − | 0.377513i | ||||
\(28\) | −175492. | − | 423676.i | −0.0539569 | − | 0.130263i | ||||
\(29\) | −941296. | − | 389898.i | −0.247136 | − | 0.102367i | 0.255677 | − | 0.966762i | \(-0.417702\pi\) |
−0.502813 | + | 0.864395i | \(0.667702\pi\) | |||||||
\(30\) | 59012.5i | 0.0133014i | ||||||||
\(31\) | −2.32857e6 | + | 5.62167e6i | −0.452858 | + | 1.09330i | 0.518373 | + | 0.855155i | \(0.326538\pi\) |
−0.971231 | + | 0.238141i | \(0.923462\pi\) | |||||||
\(32\) | 1.43657e6 | − | 1.43657e6i | 0.242188 | − | 0.242188i | ||||
\(33\) | −5.66992e6 | −0.832269 | ||||||||
\(34\) | 6.49208e6 | − | 2.83651e6i | 0.833160 | − | 0.364023i | ||||
\(35\) | −175289. | −0.0197446 | ||||||||
\(36\) | −786460. | + | 786460.i | −0.0780397 | + | 0.0780397i | ||||
\(37\) | −1.67838e6 | + | 4.05197e6i | −0.147226 | + | 0.355434i | −0.980238 | − | 0.197820i | \(-0.936614\pi\) |
0.833013 | + | 0.553254i | \(0.186614\pi\) | |||||||
\(38\) | − | 9.56621e6i | − | 0.744241i | ||||||
\(39\) | −1.52270e7 | − | 6.30721e6i | −1.05396 | − | 0.436563i | ||||
\(40\) | −160440. | − | 387337.i | −0.00990931 | − | 0.0239232i | ||||
\(41\) | 1.46439e7 | − | 6.06570e6i | 0.809336 | − | 0.335238i | 0.0606471 | − | 0.998159i | \(-0.480684\pi\) |
0.748689 | + | 0.662921i | \(0.230684\pi\) | |||||||
\(42\) | −6.35652e6 | − | 6.35652e6i | −0.315208 | − | 0.315208i | ||||
\(43\) | −3.45275e6 | − | 3.45275e6i | −0.154013 | − | 0.154013i | 0.625895 | − | 0.779908i | \(-0.284734\pi\) |
−0.779908 | + | 0.625895i | \(0.784734\pi\) | |||||||
\(44\) | 5.49765e6 | − | 2.27720e6i | 0.221126 | − | 0.0915934i | ||||
\(45\) | 162693. | + | 392775.i | 0.00591441 | + | 0.0142787i | ||||
\(46\) | −7.17118e6 | − | 2.97040e6i | −0.236146 | − | 0.0978148i | ||||
\(47\) | − | 1.42598e7i | − | 0.426258i | −0.977024 | − | 0.213129i | \(-0.931634\pi\) | ||
0.977024 | − | 0.213129i | \(-0.0683655\pi\) | |||||||
\(48\) | 6.75764e6 | − | 1.63144e7i | 0.183742 | − | 0.443593i | ||||
\(49\) | −9.65308e6 | + | 9.65308e6i | −0.239212 | + | 0.239212i | ||||
\(50\) | 4.01583e7 | 0.908678 | ||||||||
\(51\) | −2.01909e7 | + | 2.09825e7i | −0.417916 | + | 0.434301i | ||||
\(52\) | 1.72975e7 | 0.328071 | ||||||||
\(53\) | −2.43777e7 | + | 2.43777e7i | −0.424376 | + | 0.424376i | −0.886707 | − | 0.462331i | \(-0.847013\pi\) |
0.462331 | + | 0.886707i | \(0.347013\pi\) | |||||||
\(54\) | −2.14472e7 | + | 5.17780e7i | −0.343240 | + | 0.828654i | ||||
\(55\) | − | 2.27456e6i | − | 0.0335171i | ||||||
\(56\) | 5.90037e7 | + | 2.44401e7i | 0.801739 | + | 0.332091i | ||||
\(57\) | 1.50466e7 | + | 3.63258e7i | 0.188800 | + | 0.455804i | ||||
\(58\) | 1.93654e7 | − | 8.02143e6i | 0.224699 | − | 0.0930734i | ||||
\(59\) | 7.93497e7 | + | 7.93497e7i | 0.852533 | + | 0.852533i | 0.990445 | − | 0.137912i | \(-0.0440390\pi\) |
−0.137912 | + | 0.990445i | \(0.544039\pi\) | |||||||
\(60\) | 180001. | + | 180001.i | 0.00179305 | + | 0.00179305i | ||||
\(61\) | −1.65528e8 | + | 6.85638e7i | −1.53069 | + | 0.634031i | −0.979697 | − | 0.200482i | \(-0.935749\pi\) |
−0.550988 | + | 0.834513i | \(0.685749\pi\) | |||||||
\(62\) | −4.79061e7 | − | 1.15655e8i | −0.411745 | − | 0.994039i | ||||
\(63\) | −5.98321e7 | − | 2.47832e7i | −0.478521 | − | 0.198210i | ||||
\(64\) | 1.48718e8i | 1.10804i | ||||||||
\(65\) | 2.53022e6 | − | 6.10850e6i | 0.0175812 | − | 0.0424448i | ||||
\(66\) | 8.24826e7 | − | 8.24826e7i | 0.535075 | − | 0.535075i | ||||
\(67\) | 1.06450e8 | 0.645371 | 0.322686 | − | 0.946506i | \(-0.395414\pi\) | ||||
0.322686 | + | 0.946506i | \(0.395414\pi\) | |||||||
\(68\) | 1.11502e7 | − | 2.84542e7i | 0.0632404 | − | 0.161382i | ||||
\(69\) | 3.19033e7 | 0.169439 | ||||||||
\(70\) | 2.55000e6 | − | 2.55000e6i | 0.0126940 | − | 0.0126940i | ||||
\(71\) | 1.47032e8 | − | 3.54968e8i | 0.686674 | − | 1.65778i | −0.0647032 | − | 0.997905i | \(-0.520610\pi\) |
0.751377 | − | 0.659873i | \(-0.229390\pi\) | |||||||
\(72\) | − | 1.54895e8i | − | 0.679268i | ||||||
\(73\) | −3.98621e8 | − | 1.65114e8i | −1.64289 | − | 0.680506i | −0.646302 | − | 0.763082i | \(-0.723685\pi\) |
−0.996585 | + | 0.0825762i | \(0.973685\pi\) | |||||||
\(74\) | −3.45296e7 | − | 8.33619e7i | −0.133859 | − | 0.323165i | ||||
\(75\) | −1.52493e8 | + | 6.31647e7i | −0.556512 | + | 0.230515i | ||||
\(76\) | −2.91789e7 | − | 2.91789e7i | −0.100325 | − | 0.100325i | ||||
\(77\) | 2.45004e8 | + | 2.45004e8i | 0.794264 | + | 0.794264i | ||||
\(78\) | 3.13266e8 | − | 1.29759e8i | 0.958270 | − | 0.396929i | ||||
\(79\) | −8.17294e7 | − | 1.97312e8i | −0.236078 | − | 0.569944i | 0.760792 | − | 0.648996i | \(-0.224811\pi\) |
−0.996871 | + | 0.0790519i | \(0.974811\pi\) | |||||||
\(80\) | 6.54473e6 | + | 2.71092e6i | 0.0178643 | + | 0.00739965i | ||||
\(81\) | 1.63309e7i | 0.0421529i | ||||||||
\(82\) | −1.24791e8 | + | 3.01271e8i | −0.304803 | + | 0.735859i | ||||
\(83\) | −2.68120e8 | + | 2.68120e8i | −0.620122 | + | 0.620122i | −0.945563 | − | 0.325440i | \(-0.894487\pi\) |
0.325440 | + | 0.945563i | \(0.394487\pi\) | |||||||
\(84\) | −3.87775e7 | −0.0849811 | ||||||||
\(85\) | −8.41740e6 | − | 8.09984e6i | −0.0174901 | − | 0.0168303i | ||||
\(86\) | 1.00457e8 | 0.198033 | ||||||||
\(87\) | −6.09196e7 | + | 6.09196e7i | −0.114004 | + | 0.114004i | ||||
\(88\) | −3.17137e8 | + | 7.65636e8i | −0.563734 | + | 1.36098i | ||||
\(89\) | − | 9.12630e8i | − | 1.54184i | −0.636931 | − | 0.770921i | \(-0.719796\pi\) | ||
0.636931 | − | 0.770921i | \(-0.280204\pi\) | |||||||
\(90\) | −8.08062e6 | − | 3.34710e6i | −0.0129824 | − | 0.00537747i | ||||
\(91\) | 3.85433e8 | + | 9.30518e8i | 0.589200 | + | 1.42245i | ||||
\(92\) | −3.09340e7 | + | 1.28133e7i | −0.0450184 | + | 0.0186472i | ||||
\(93\) | 3.63828e8 | + | 3.63828e8i | 0.504339 | + | 0.504339i | ||||
\(94\) | 2.07443e8 | + | 2.07443e8i | 0.274046 | + | 0.274046i | ||||
\(95\) | −1.45726e7 | + | 6.03616e6i | −0.0183561 | + | 0.00760335i | ||||
\(96\) | −6.57420e7 | − | 1.58715e8i | −0.0789992 | − | 0.190721i | ||||
\(97\) | 1.34720e8 | + | 5.58030e7i | 0.154511 | + | 0.0640007i | 0.458599 | − | 0.888643i | \(-0.348352\pi\) |
−0.304087 | + | 0.952644i | \(0.598352\pi\) | |||||||
\(98\) | − | 2.80855e8i | − | 0.307584i | ||||||
\(99\) | 3.21589e8 | − | 7.76385e8i | 0.336467 | − | 0.812304i | ||||
\(100\) | 1.22491e8 | − | 1.22491e8i | 0.122491 | − | 0.122491i | ||||
\(101\) | 8.74690e8 | 0.836389 | 0.418194 | − | 0.908358i | \(-0.362663\pi\) | ||||
0.418194 | + | 0.908358i | \(0.362663\pi\) | |||||||
\(102\) | −1.15156e7 | − | 5.98965e8i | −0.0105338 | − | 0.547900i | ||||
\(103\) | 8.45970e8 | 0.740606 | 0.370303 | − | 0.928911i | \(-0.379254\pi\) | ||||
0.370303 | + | 0.928911i | \(0.379254\pi\) | |||||||
\(104\) | −1.70339e9 | + | 1.70339e9i | −1.42779 | + | 1.42779i | ||||
\(105\) | −5.67226e6 | + | 1.36940e7i | −0.00455411 | + | 0.0109946i | ||||
\(106\) | − | 7.09264e8i | − | 0.545672i | ||||||
\(107\) | −3.18712e8 | − | 1.32015e8i | −0.235056 | − | 0.0973634i | 0.262046 | − | 0.965055i | \(-0.415603\pi\) |
−0.497102 | + | 0.867692i | \(0.665603\pi\) | |||||||
\(108\) | 9.25155e7 | + | 2.23352e8i | 0.0654346 | + | 0.157973i | ||||
\(109\) | −9.38620e8 | + | 3.88789e8i | −0.636899 | + | 0.263812i | −0.677681 | − | 0.735356i | \(-0.737015\pi\) |
0.0407822 | + | 0.999168i | \(0.487015\pi\) | |||||||
\(110\) | 3.30890e7 | + | 3.30890e7i | 0.0215485 | + | 0.0215485i | ||||
\(111\) | 2.62239e8 | + | 2.62239e8i | 0.163962 | + | 0.163962i | ||||
\(112\) | −9.96970e8 | + | 4.12959e8i | −0.598689 | + | 0.247985i | ||||
\(113\) | −4.33607e8 | − | 1.04682e9i | −0.250175 | − | 0.603975i | 0.748043 | − | 0.663650i | \(-0.230994\pi\) |
−0.998218 | + | 0.0596752i | \(0.980994\pi\) | |||||||
\(114\) | −7.47336e8 | − | 3.09557e8i | −0.414423 | − | 0.171660i | ||||
\(115\) | 1.27984e7i | 0.00682365i | ||||||||
\(116\) | 3.46016e7 | − | 8.35357e7i | 0.0177433 | − | 0.0428362i | ||||
\(117\) | 1.72730e9 | − | 1.72730e9i | 0.852180 | − | 0.852180i | ||||
\(118\) | −2.30867e9 | −1.09621 | ||||||||
\(119\) | 1.77915e9 | − | 3.42057e7i | 0.813301 | − | 0.0156364i | ||||
\(120\) | −3.54515e7 | −0.0156070 | ||||||||
\(121\) | −1.51187e9 | + | 1.51187e9i | −0.641180 | + | 0.641180i | ||||
\(122\) | 1.41057e9 | − | 3.40542e9i | 0.576469 | − | 1.39172i | ||||
\(123\) | − | 1.34030e9i | − | 0.527994i | ||||||
\(124\) | −4.98897e8 | − | 2.06650e8i | −0.189502 | − | 0.0784942i | ||||
\(125\) | −5.06937e7 | − | 1.22385e8i | −0.0185720 | − | 0.0448368i | ||||
\(126\) | 1.23093e9 | − | 5.09870e8i | 0.435078 | − | 0.180215i | ||||
\(127\) | 3.19930e9 | + | 3.19930e9i | 1.09129 | + | 1.09129i | 0.995391 | + | 0.0958949i | \(0.0305713\pi\) |
0.0958949 | + | 0.995391i | \(0.469429\pi\) | |||||||
\(128\) | −1.42794e9 | − | 1.42794e9i | −0.470181 | − | 0.470181i | ||||
\(129\) | −3.81466e8 | + | 1.58008e8i | −0.121284 | + | 0.0502374i | ||||
\(130\) | 5.20547e7 | + | 1.25671e8i | 0.0159851 | + | 0.0385914i | ||||
\(131\) | −1.32472e9 | − | 5.48715e8i | −0.393008 | − | 0.162789i | 0.177423 | − | 0.984135i | \(-0.443224\pi\) |
−0.570431 | + | 0.821345i | \(0.693224\pi\) | |||||||
\(132\) | − | 5.03179e8i | − | 0.144258i | ||||||
\(133\) | 9.19499e8 | − | 2.21987e9i | 0.254811 | − | 0.615169i | ||||
\(134\) | −1.54858e9 | + | 1.54858e9i | −0.414916 | + | 0.414916i | ||||
\(135\) | 9.24084e7 | 0.0239447 | ||||||||
\(136\) | 1.70402e9 | + | 3.90009e9i | 0.427120 | + | 0.977573i | ||||
\(137\) | 3.33397e9 | 0.808573 | 0.404286 | − | 0.914632i | \(-0.367520\pi\) | ||||
0.404286 | + | 0.914632i | \(0.367520\pi\) | |||||||
\(138\) | −4.64110e8 | + | 4.64110e8i | −0.108935 | + | 0.108935i | ||||
\(139\) | −7.70375e8 | + | 1.85985e9i | −0.175039 | + | 0.422582i | −0.986914 | − | 0.161250i | \(-0.948447\pi\) |
0.811874 | + | 0.583832i | \(0.198447\pi\) | |||||||
\(140\) | − | 1.55561e7i | − | 0.00342235i | ||||||
\(141\) | −1.11401e9 | − | 4.61439e8i | −0.237358 | − | 0.0983168i | ||||
\(142\) | 3.02492e9 | + | 7.30280e9i | 0.624333 | + | 1.50727i | ||||
\(143\) | −1.20745e10 | + | 5.00140e9i | −2.41466 | + | 1.00018i | ||||
\(144\) | 1.85065e9 | + | 1.85065e9i | 0.358669 | + | 0.358669i | ||||
\(145\) | −2.44387e7 | − | 2.44387e7i | −0.00459116 | − | 0.00459116i | ||||
\(146\) | 8.20090e9 | − | 3.39692e9i | 1.49373 | − | 0.618725i | ||||
\(147\) | 4.41755e8 | + | 1.06649e9i | 0.0780285 | + | 0.188378i | ||||
\(148\) | −3.59594e8 | − | 1.48949e8i | −0.0616076 | − | 0.0255187i | ||||
\(149\) | 1.72052e9i | 0.285971i | 0.989725 | + | 0.142985i | \(0.0456702\pi\) | ||||
−0.989725 | + | 0.142985i | \(0.954330\pi\) | |||||||
\(150\) | 1.29950e9 | − | 3.13727e9i | 0.209587 | − | 0.505988i | ||||
\(151\) | −3.60005e9 | + | 3.60005e9i | −0.563524 | + | 0.563524i | −0.930307 | − | 0.366783i | \(-0.880459\pi\) |
0.366783 | + | 0.930307i | \(0.380459\pi\) | |||||||
\(152\) | 5.74685e9 | 0.873241 | ||||||||
\(153\) | −1.72794e9 | − | 3.95484e9i | −0.254928 | − | 0.583468i | ||||
\(154\) | −7.12835e9 | −1.02128 | ||||||||
\(155\) | −1.45954e8 | + | 1.45954e8i | −0.0203107 | + | 0.0203107i | ||||
\(156\) | 5.59736e8 | − | 1.35132e9i | 0.0756697 | − | 0.182683i | ||||
\(157\) | − | 1.10391e10i | − | 1.45006i | −0.688718 | − | 0.725029i | \(-0.741826\pi\) | ||
0.688718 | − | 0.725029i | \(-0.258174\pi\) | |||||||
\(158\) | 4.05933e9 | + | 1.68143e9i | 0.518201 | + | 0.214646i | ||||
\(159\) | 1.11560e9 | + | 2.69329e9i | 0.138427 | + | 0.334192i | ||||
\(160\) | 6.36708e7 | − | 2.63733e7i | 0.00768069 | − | 0.00318145i | ||||
\(161\) | −1.37858e9 | − | 1.37858e9i | −0.161702 | − | 0.161702i | ||||
\(162\) | −2.37572e8 | − | 2.37572e8i | −0.0271005 | − | 0.0271005i | ||||
\(163\) | 2.52429e9 | − | 1.04559e9i | 0.280088 | − | 0.116016i | −0.238217 | − | 0.971212i | \(-0.576563\pi\) |
0.518305 | + | 0.855196i | \(0.326563\pi\) | |||||||
\(164\) | 5.38302e8 | + | 1.29958e9i | 0.0581071 | + | 0.140283i | ||||
\(165\) | −1.77695e8 | − | 7.36036e7i | −0.0186637 | − | 0.00773074i | ||||
\(166\) | − | 7.80090e9i | − | 0.797367i | ||||||
\(167\) | 4.54146e9 | − | 1.09640e10i | 0.451826 | − | 1.09080i | −0.519802 | − | 0.854287i | \(-0.673994\pi\) |
0.971627 | − | 0.236517i | \(-0.0760058\pi\) | |||||||
\(168\) | 3.81865e9 | − | 3.81865e9i | 0.369844 | − | 0.369844i | ||||
\(169\) | −2.73858e10 | −2.58247 | ||||||||
\(170\) | 2.40283e8 | − | 4.61965e6i | 0.0220650 | − | 0.000424218i | ||||
\(171\) | −5.82753e9 | −0.521198 | ||||||||
\(172\) | 3.06415e8 | − | 3.06415e8i | 0.0266952 | − | 0.0266952i | ||||
\(173\) | 1.79430e9 | − | 4.33183e9i | 0.152296 | − | 0.367674i | −0.829257 | − | 0.558868i | \(-0.811236\pi\) |
0.981552 | + | 0.191194i | \(0.0612358\pi\) | |||||||
\(174\) | − | 1.77245e9i | − | 0.146589i | ||||||
\(175\) | 9.31884e9 | + | 3.85999e9i | 0.751088 | + | 0.311111i | ||||
\(176\) | −5.35858e9 | − | 1.29368e10i | −0.420962 | − | 1.01629i | ||||
\(177\) | 8.76671e9 | − | 3.63129e9i | 0.671362 | − | 0.278087i | ||||
\(178\) | 1.32764e10 | + | 1.32764e10i | 0.991267 | + | 0.991267i | ||||
\(179\) | 1.12383e10 | + | 1.12383e10i | 0.818203 | + | 0.818203i | 0.985847 | − | 0.167645i | \(-0.0536161\pi\) |
−0.167645 | + | 0.985847i | \(0.553616\pi\) | |||||||
\(180\) | −3.48570e7 | + | 1.44382e7i | −0.00247493 | + | 0.00102515i | ||||
\(181\) | 1.78454e8 | + | 4.30825e8i | 0.0123587 | + | 0.0298365i | 0.929938 | − | 0.367715i | \(-0.119860\pi\) |
−0.917580 | + | 0.397552i | \(0.869860\pi\) | |||||||
\(182\) | −1.91437e10 | − | 7.92957e9i | −1.29331 | − | 0.535708i | ||||
\(183\) | 1.51501e10i | 0.998587i | ||||||||
\(184\) | 1.78445e9 | − | 4.30805e9i | 0.114769 | − | 0.277077i | ||||
\(185\) | −1.05201e8 | + | 1.05201e8i | −0.00660307 | + | 0.00660307i | ||||
\(186\) | −1.05855e10 | −0.648490 | ||||||||
\(187\) | 4.43855e8 | + | 2.30864e10i | 0.0265432 | + | 1.38060i | ||||
\(188\) | 1.26549e9 | 0.0738837 | ||||||||
\(189\) | −9.95375e9 | + | 9.95375e9i | −0.567425 | + | 0.567425i | ||||
\(190\) | 1.24183e8 | − | 2.99804e8i | 0.00691307 | − | 0.0166896i | ||||
\(191\) | 6.43277e9i | 0.349742i | 0.984591 | + | 0.174871i | \(0.0559509\pi\) | ||||
−0.984591 | + | 0.174871i | \(0.944049\pi\) | |||||||
\(192\) | 1.16182e10 | + | 4.81243e9i | 0.616999 | + | 0.255569i | ||||
\(193\) | −3.61203e9 | − | 8.72022e9i | −0.187389 | − | 0.452397i | 0.802066 | − | 0.597235i | \(-0.203734\pi\) |
−0.989455 | + | 0.144838i | \(0.953734\pi\) | |||||||
\(194\) | −2.77162e9 | + | 1.14804e9i | −0.140484 | + | 0.0581903i | ||||
\(195\) | −3.95335e8 | − | 3.95335e8i | −0.0195798 | − | 0.0195798i | ||||
\(196\) | −8.56666e8 | − | 8.56666e8i | −0.0414629 | − | 0.0414629i | ||||
\(197\) | 3.07447e10 | − | 1.27349e10i | 1.45436 | − | 0.602416i | 0.491129 | − | 0.871087i | \(-0.336584\pi\) |
0.963232 | + | 0.268671i | \(0.0865845\pi\) | |||||||
\(198\) | 6.61610e9 | + | 1.59727e10i | 0.305921 | + | 0.738558i | ||||
\(199\) | −1.06281e10 | − | 4.40229e9i | −0.480414 | − | 0.198994i | 0.129315 | − | 0.991604i | \(-0.458722\pi\) |
−0.609730 | + | 0.792609i | \(0.708722\pi\) | |||||||
\(200\) | 2.41249e10i | 1.06618i | ||||||||
\(201\) | 3.44467e9 | − | 8.31616e9i | 0.148855 | − | 0.359369i | ||||
\(202\) | −1.27245e10 | + | 1.27245e10i | −0.537723 | + | 0.537723i | ||||
\(203\) | 5.26482e9 | 0.217596 | ||||||||
\(204\) | −1.86210e9 | − | 1.79185e9i | −0.0752777 | − | 0.0724377i | ||||
\(205\) | 5.37680e8 | 0.0212633 | ||||||||
\(206\) | −1.23067e10 | + | 1.23067e10i | −0.476144 | + | 0.476144i | ||||
\(207\) | −1.80951e9 | + | 4.36853e9i | −0.0685005 | + | 0.165375i | ||||
\(208\) | − | 4.07034e10i | − | 1.50781i | ||||||
\(209\) | 2.88051e10 | + | 1.19315e10i | 1.04427 | + | 0.432550i | ||||
\(210\) | −1.16696e8 | − | 2.81730e8i | −0.00414066 | − | 0.00999644i | ||||
\(211\) | 3.66767e10 | − | 1.51920e10i | 1.27385 | − | 0.527647i | 0.359720 | − | 0.933060i | \(-0.382872\pi\) |
0.914134 | + | 0.405413i | \(0.132872\pi\) | |||||||
\(212\) | −2.16341e9 | − | 2.16341e9i | −0.0735574 | − | 0.0735574i | ||||
\(213\) | −2.29731e10 | − | 2.29731e10i | −0.764736 | − | 0.764736i | ||||
\(214\) | 6.55691e9 | − | 2.71596e9i | 0.213716 | − | 0.0885241i | ||||
\(215\) | −6.33872e7 | − | 1.53030e8i | −0.00202315 | − | 0.00488432i | ||||
\(216\) | −3.11054e10 | − | 1.28843e10i | −0.972286 | − | 0.402734i | ||||
\(217\) | − | 3.14429e10i | − | 0.962618i | ||||||
\(218\) | 7.99862e9 | − | 1.93104e10i | 0.239862 | − | 0.579077i | ||||
\(219\) | −2.57983e10 | + | 2.57983e10i | −0.757866 | + | 0.757866i | ||||
\(220\) | 2.01857e8 | 0.00580954 | ||||||||
\(221\) | −2.44892e10 | + | 6.24938e10i | −0.690574 | + | 1.76227i | ||||
\(222\) | −7.62980e9 | −0.210826 | ||||||||
\(223\) | 3.38158e10 | − | 3.38158e10i | 0.915689 | − | 0.915689i | −0.0810235 | − | 0.996712i | \(-0.525819\pi\) |
0.996712 | + | 0.0810235i | \(0.0258189\pi\) | |||||||
\(224\) | −4.01749e9 | + | 9.69908e9i | −0.106620 | + | 0.257403i | ||||
\(225\) | − | 2.44636e10i | − | 0.636354i | ||||||
\(226\) | 2.15364e10 | + | 8.92066e9i | 0.549142 | + | 0.227462i | ||||
\(227\) | −1.36115e9 | − | 3.28611e9i | −0.0340244 | − | 0.0821421i | 0.905954 | − | 0.423376i | \(-0.139155\pi\) |
−0.939978 | + | 0.341234i | \(0.889155\pi\) | |||||||
\(228\) | −3.22375e9 | + | 1.33532e9i | −0.0790049 | + | 0.0327249i | ||||
\(229\) | −1.64854e10 | − | 1.64854e10i | −0.396131 | − | 0.396131i | 0.480735 | − | 0.876866i | \(-0.340370\pi\) |
−0.876866 | + | 0.480735i | \(0.840370\pi\) | |||||||
\(230\) | −1.86184e8 | − | 1.86184e8i | −0.00438700 | − | 0.00438700i | ||||
\(231\) | 2.70685e10 | − | 1.12122e10i | 0.625476 | − | 0.259081i | ||||
\(232\) | 4.81883e9 | + | 1.16337e10i | 0.109206 | + | 0.263646i | ||||
\(233\) | −6.63179e10 | − | 2.74698e10i | −1.47411 | − | 0.610595i | −0.506315 | − | 0.862349i | \(-0.668993\pi\) |
−0.967791 | + | 0.251754i | \(0.918993\pi\) | |||||||
\(234\) | 5.02555e10i | 1.09575i | ||||||||
\(235\) | 1.85112e8 | − | 4.46901e8i | 0.00395941 | − | 0.00955885i | ||||
\(236\) | −7.04192e9 | + | 7.04192e9i | −0.147770 | + | 0.147770i | ||||
\(237\) | −1.80592e10 | −0.371819 | ||||||||
\(238\) | −2.53844e10 | + | 2.63796e10i | −0.512827 | + | 0.532933i | ||||
\(239\) | −5.19129e10 | −1.02916 | −0.514582 | − | 0.857441i | \(-0.672053\pi\) | ||||
−0.514582 | + | 0.857441i | \(0.672053\pi\) | |||||||
\(240\) | 4.23568e8 | − | 4.23568e8i | 0.00824085 | − | 0.00824085i | ||||
\(241\) | 3.85817e10 | − | 9.31444e10i | 0.736723 | − | 1.77861i | 0.117977 | − | 0.993016i | \(-0.462359\pi\) |
0.618746 | − | 0.785591i | \(-0.287641\pi\) | |||||||
\(242\) | − | 4.39875e10i | − | 0.824443i | ||||||
\(243\) | 5.08135e10 | + | 2.10476e10i | 0.934869 | + | 0.387235i | ||||
\(244\) | −6.08472e9 | − | 1.46898e10i | −0.109897 | − | 0.265315i | ||||
\(245\) | −4.27837e8 | + | 1.77216e8i | −0.00758632 | + | 0.00314236i | ||||
\(246\) | 1.94979e10 | + | 1.94979e10i | 0.339453 | + | 0.339453i | ||||
\(247\) | 6.40856e10 | + | 6.40856e10i | 1.09553 | + | 1.09553i | ||||
\(248\) | 6.94795e10 | − | 2.87793e10i | 1.16634 | − | 0.483113i | ||||
\(249\) | 1.22700e10 | + | 2.96224e10i | 0.202277 | + | 0.488341i | ||||
\(250\) | 2.51786e9 | + | 1.04293e9i | 0.0407662 | + | 0.0168859i | ||||
\(251\) | 3.87316e10i | 0.615933i | 0.951397 | + | 0.307967i | \(0.0996485\pi\) | ||||
−0.951397 | + | 0.307967i | \(0.900351\pi\) | |||||||
\(252\) | 2.19940e9 | − | 5.30982e9i | 0.0343559 | − | 0.0829425i | ||||
\(253\) | 1.78886e10 | − | 1.78886e10i | 0.274494 | − | 0.274494i | ||||
\(254\) | −9.30832e10 | −1.40320 | ||||||||
\(255\) | −9.05162e8 | + | 3.95482e8i | −0.0134059 | + | 0.00585728i | ||||
\(256\) | −3.45980e10 | −0.503467 | ||||||||
\(257\) | −1.47987e10 | + | 1.47987e10i | −0.211604 | + | 0.211604i | −0.804949 | − | 0.593345i | \(-0.797807\pi\) |
0.593345 | + | 0.804949i | \(0.297807\pi\) | |||||||
\(258\) | 3.25073e9 | − | 7.84796e9i | 0.0456765 | − | 0.110273i | ||||
\(259\) | − | 2.26633e10i | − | 0.312950i | ||||||
\(260\) | 5.42101e8 | + | 2.24546e8i | 0.00735699 | + | 0.00304736i | ||||
\(261\) | −4.88649e9 | − | 1.17970e10i | −0.0651800 | − | 0.157358i | ||||
\(262\) | 2.72536e10 | − | 1.12888e10i | 0.357329 | − | 0.148010i | ||||
\(263\) | 1.01653e11 | + | 1.01653e11i | 1.31015 | + | 1.31015i | 0.921301 | + | 0.388850i | \(0.127128\pi\) |
0.388850 | + | 0.921301i | \(0.372872\pi\) | |||||||
\(264\) | 4.95511e10 | + | 4.95511e10i | 0.627820 | + | 0.627820i | ||||
\(265\) | −1.08045e9 | + | 4.47537e8i | −0.0134586 | + | 0.00557472i | ||||
\(266\) | 1.89170e10 | + | 4.56697e10i | 0.231678 | + | 0.559320i | ||||
\(267\) | −7.12970e10 | − | 2.95322e10i | −0.858559 | − | 0.355627i | ||||
\(268\) | 9.44696e9i | 0.111863i | ||||||||
\(269\) | −1.07352e10 | + | 2.59170e10i | −0.125004 | + | 0.301787i | −0.973976 | − | 0.226652i | \(-0.927222\pi\) |
0.848972 | + | 0.528438i | \(0.177222\pi\) | |||||||
\(270\) | −1.34430e9 | + | 1.34430e9i | −0.0153943 | + | 0.0153943i | ||||
\(271\) | −6.71035e10 | −0.755759 | −0.377880 | − | 0.925855i | \(-0.623347\pi\) | ||||
−0.377880 | + | 0.925855i | \(0.623347\pi\) | |||||||
\(272\) | −6.69567e10 | − | 2.62381e10i | −0.741710 | − | 0.290652i | ||||
\(273\) | 8.51668e10 | 0.927979 | ||||||||
\(274\) | −4.85006e10 | + | 4.85006e10i | −0.519840 | + | 0.519840i | ||||
\(275\) | −5.00875e10 | + | 1.20922e11i | −0.528120 | + | 1.27499i | ||||
\(276\) | 2.83127e9i | 0.0293691i | ||||||||
\(277\) | 8.47374e10 | + | 3.50994e10i | 0.864801 | + | 0.358212i | 0.770583 | − | 0.637339i | \(-0.219965\pi\) |
0.0942177 | + | 0.995552i | \(0.469965\pi\) | |||||||
\(278\) | −1.58490e10 | − | 3.82630e10i | −0.159148 | − | 0.384218i | ||||
\(279\) | −7.04549e10 | + | 2.91834e10i | −0.696133 | + | 0.288348i | ||||
\(280\) | 1.53190e9 | + | 1.53190e9i | 0.0148943 | + | 0.0148943i | ||||
\(281\) | −9.54766e10 | − | 9.54766e10i | −0.913521 | − | 0.913521i | 0.0830266 | − | 0.996547i | \(-0.473541\pi\) |
−0.996547 | + | 0.0830266i | \(0.973541\pi\) | |||||||
\(282\) | 2.29187e10 | − | 9.49325e9i | 0.215809 | − | 0.0893910i | ||||
\(283\) | −3.28190e10 | − | 7.92320e10i | −0.304149 | − | 0.734280i | −0.999872 | − | 0.0159707i | \(-0.994916\pi\) |
0.695724 | − | 0.718310i | \(-0.255084\pi\) | |||||||
\(284\) | 3.15017e10 | + | 1.30484e10i | 0.287344 | + | 0.119022i | ||||
\(285\) | 1.33377e9i | 0.0119751i | ||||||||
\(286\) | 1.02895e11 | − | 2.48410e11i | 0.909381 | − | 2.19544i | ||||
\(287\) | −5.79160e10 | + | 5.79160e10i | −0.503883 | + | 0.503883i | ||||
\(288\) | 2.54618e10 | 0.218083 | ||||||||
\(289\) | 8.70155e10 | + | 8.05692e10i | 0.733764 | + | 0.679405i | ||||
\(290\) | 7.11041e8 | 0.00590342 | ||||||||
\(291\) | 8.71895e9 | − | 8.71895e9i | 0.0712764 | − | 0.0712764i | ||||
\(292\) | 1.46531e10 | − | 3.53758e10i | 0.117953 | − | 0.284763i | ||||
\(293\) | − | 1.58105e11i | − | 1.25326i | −0.779315 | − | 0.626632i | \(-0.784433\pi\) | ||
0.779315 | − | 0.626632i | \(-0.215567\pi\) | |||||||
\(294\) | −2.19411e10 | − | 9.08829e9i | −0.171275 | − | 0.0709446i | ||||
\(295\) | 1.45674e9 | + | 3.51688e9i | 0.0111991 | + | 0.0270370i | ||||
\(296\) | 5.00792e10 | − | 2.07435e10i | 0.379180 | − | 0.157061i | ||||
\(297\) | −1.29161e11 | − | 1.29161e11i | −0.963221 | − | 0.963221i | ||||
\(298\) | −2.50291e10 | − | 2.50291e10i | −0.183854 | − | 0.183854i | ||||
\(299\) | 6.79401e10 | − | 2.81417e10i | 0.491593 | − | 0.203625i | ||||
\(300\) | −5.60558e9 | − | 1.35331e10i | −0.0399553 | − | 0.0964607i | ||||
\(301\) | 2.33114e10 | + | 9.65588e9i | 0.163689 | + | 0.0678021i | ||||
\(302\) | − | 1.04743e11i | − | 0.724591i | ||||||
\(303\) | 2.83045e10 | − | 6.83330e10i | 0.192914 | − | 0.465735i | ||||
\(304\) | −6.86623e10 | + | 6.86623e10i | −0.461091 | + | 0.461091i | ||||
\(305\) | −6.07767e9 | −0.0402150 | ||||||||
\(306\) | 8.26698e10 | + | 3.23956e10i | 0.539015 | + | 0.211222i | ||||
\(307\) | −1.17486e11 | −0.754857 | −0.377428 | − | 0.926039i | \(-0.623192\pi\) | ||||
−0.377428 | + | 0.926039i | \(0.623192\pi\) | |||||||
\(308\) | −2.17430e10 | + | 2.17430e10i | −0.137670 | + | 0.137670i | ||||
\(309\) | 2.73751e10 | − | 6.60893e10i | 0.170821 | − | 0.412399i | ||||
\(310\) | − | 4.24652e9i | − | 0.0261159i | ||||||
\(311\) | −1.62159e8 | − | 6.71686e7i | −0.000982925 | − | 0.000407141i | 0.382192 | − | 0.924083i | \(-0.375169\pi\) |
−0.383175 | + | 0.923676i | \(0.625169\pi\) | |||||||
\(312\) | 7.79522e10 | + | 1.88193e11i | 0.465729 | + | 1.12437i | ||||
\(313\) | −1.58501e11 | + | 6.56533e10i | −0.933432 | + | 0.386640i | −0.796979 | − | 0.604006i | \(-0.793570\pi\) |
−0.136452 | + | 0.990647i | \(0.543570\pi\) | |||||||
\(314\) | 1.60590e11 | + | 1.60590e11i | 0.932258 | + | 0.932258i | ||||
\(315\) | −1.55341e9 | − | 1.55341e9i | −0.00888973 | − | 0.00888973i | ||||
\(316\) | 1.75105e10 | − | 7.25311e9i | 0.0987888 | − | 0.0409197i | ||||
\(317\) | −1.31565e9 | − | 3.17626e9i | −0.00731768 | − | 0.0176664i | 0.920178 | − | 0.391499i | \(-0.128043\pi\) |
−0.927496 | + | 0.373833i | \(0.878043\pi\) | |||||||
\(318\) | −5.54095e10 | − | 2.29514e10i | −0.303852 | − | 0.125860i | ||||
\(319\) | 6.83167e10i | 0.369376i | ||||||||
\(320\) | −1.93057e9 | + | 4.66081e9i | −0.0102923 | + | 0.0248477i | ||||
\(321\) | −2.06267e10 | + | 2.06267e10i | −0.108432 | + | 0.108432i | ||||
\(322\) | 4.01096e10 | 0.207920 | ||||||||
\(323\) | 1.46731e11 | − | 6.41095e10i | 0.750085 | − | 0.327726i | ||||
\(324\) | −1.44929e9 | −0.00730639 | ||||||||
\(325\) | −2.69027e11 | + | 2.69027e11i | −1.33758 | + | 1.33758i | ||||
\(326\) | −2.15112e10 | + | 5.19326e10i | −0.105484 | + | 0.254660i | ||||
\(327\) | 8.59084e10i | 0.415500i | ||||||||
\(328\) | −1.80987e11 | − | 7.49673e10i | −0.863407 | − | 0.357635i | ||||
\(329\) | 2.81985e10 | + | 6.80771e10i | 0.132692 | + | 0.320346i | ||||
\(330\) | 3.65574e9 | − | 1.51426e9i | 0.0169692 | − | 0.00702889i | ||||
\(331\) | 1.26814e11 | + | 1.26814e11i | 0.580688 | + | 0.580688i | 0.935092 | − | 0.354404i | \(-0.115316\pi\) |
−0.354404 | + | 0.935092i | \(0.615316\pi\) | |||||||
\(332\) | −2.37944e10 | − | 2.37944e10i | −0.107486 | − | 0.107486i | ||||
\(333\) | −5.07823e10 | + | 2.10347e10i | −0.226315 | + | 0.0937428i | ||||
\(334\) | 9.34321e10 | + | 2.25565e11i | 0.410806 | + | 0.991773i | ||||
\(335\) | 3.33614e9 | + | 1.38187e9i | 0.0144725 | + | 0.00599469i | ||||
\(336\) | 9.12489e10i | 0.390572i | ||||||||
\(337\) | −7.77279e10 | + | 1.87652e11i | −0.328279 | + | 0.792535i | 0.670442 | + | 0.741962i | \(0.266105\pi\) |
−0.998720 | + | 0.0505724i | \(0.983895\pi\) | |||||||
\(338\) | 3.98393e11 | − | 3.98393e11i | 1.66030 | − | 1.66030i | ||||
\(339\) | −9.58114e10 | −0.394020 | ||||||||
\(340\) | 7.18823e8 | − | 7.47005e8i | 0.00291721 | − | 0.00303158i | ||||
\(341\) | 4.08005e11 | 1.63407 | ||||||||
\(342\) | 8.47756e10 | − | 8.47756e10i | 0.335084 | − | 0.335084i | ||||
\(343\) | 1.06794e11 | − | 2.57824e11i | 0.416604 | − | 1.00577i | ||||
\(344\) | 6.03491e10i | 0.232358i | ||||||||
\(345\) | 9.99847e8 | + | 4.14150e8i | 0.00379968 | + | 0.00157388i | ||||
\(346\) | 3.69144e10 | + | 8.91193e10i | 0.138469 | + | 0.334295i | ||||
\(347\) | −3.70724e11 | + | 1.53559e11i | −1.37267 | + | 0.568581i | −0.942512 | − | 0.334171i | \(-0.891544\pi\) |
−0.430162 | + | 0.902752i | \(0.641544\pi\) | |||||||
\(348\) | −5.40633e9 | − | 5.40633e9i | −0.0197604 | − | 0.0197604i | ||||
\(349\) | 1.85580e11 | + | 1.85580e11i | 0.669604 | + | 0.669604i | 0.957624 | − | 0.288021i | \(-0.0929972\pi\) |
−0.288021 | + | 0.957624i | \(0.592997\pi\) | |||||||
\(350\) | −1.91718e11 | + | 7.94122e10i | −0.682899 | + | 0.282866i | ||||
\(351\) | −2.03191e11 | − | 4.90547e11i | −0.714535 | − | 1.72504i | ||||
\(352\) | −1.25856e11 | − | 5.21312e10i | −0.436950 | − | 0.180990i | ||||
\(353\) | − | 4.23719e11i | − | 1.45242i | −0.687473 | − | 0.726210i | \(-0.741280\pi\) | ||
0.687473 | − | 0.726210i | \(-0.258720\pi\) | |||||||
\(354\) | −7.47071e10 | + | 1.80359e11i | −0.252841 | + | 0.610411i | ||||
\(355\) | 9.21597e9 | − | 9.21597e9i | 0.0307974 | − | 0.0307974i | ||||
\(356\) | 8.09917e10 | 0.267249 | ||||||||
\(357\) | 5.49000e10 | − | 1.40099e11i | 0.178882 | − | 0.456485i | ||||
\(358\) | −3.26976e11 | −1.05206 | ||||||||
\(359\) | 1.92102e11 | − | 1.92102e11i | 0.610391 | − | 0.610391i | −0.332657 | − | 0.943048i | \(-0.607945\pi\) |
0.943048 | + | 0.332657i | \(0.107945\pi\) | |||||||
\(360\) | 2.01076e9 | − | 4.85439e9i | 0.00630955 | − | 0.0152326i | ||||
\(361\) | 1.06477e11i | 0.329968i | ||||||||
\(362\) | −8.86343e9 | − | 3.67135e9i | −0.0271277 | − | 0.0112367i | ||||
\(363\) | 6.91878e10 | + | 1.67034e11i | 0.209146 | + | 0.504923i | ||||
\(364\) | −8.25791e10 | + | 3.42054e10i | −0.246555 | + | 0.102126i | ||||
\(365\) | −1.03493e10 | − | 1.03493e10i | −0.0305207 | − | 0.0305207i | ||||
\(366\) | −2.20395e11 | − | 2.20395e11i | −0.642003 | − | 0.642003i | ||||
\(367\) | 9.01459e10 | − | 3.73396e10i | 0.259387 | − | 0.107442i | −0.249200 | − | 0.968452i | \(-0.580168\pi\) |
0.508588 | + | 0.861010i | \(0.330168\pi\) | |||||||
\(368\) | 3.01515e10 | + | 7.27921e10i | 0.0857024 | + | 0.206904i | ||||
\(369\) | 1.83528e11 | + | 7.60198e10i | 0.515328 | + | 0.213456i | ||||
\(370\) | − | 3.06080e9i | − | 0.00849037i | ||||||
\(371\) | 6.81741e10 | − | 1.64587e11i | 0.186826 | − | 0.451037i | ||||
\(372\) | −3.22880e10 | + | 3.22880e10i | −0.0874175 | + | 0.0874175i | ||||
\(373\) | 3.61489e11 | 0.966952 | 0.483476 | − | 0.875358i | \(-0.339374\pi\) | ||||
0.483476 | + | 0.875358i | \(0.339374\pi\) | |||||||
\(374\) | −3.42304e11 | − | 3.29390e11i | −0.904669 | − | 0.870539i | ||||
\(375\) | −1.12015e10 | −0.0292506 | ||||||||
\(376\) | −1.24621e11 | + | 1.24621e11i | −0.321547 | + | 0.321547i | ||||
\(377\) | −7.59954e10 | + | 1.83469e11i | −0.193754 | + | 0.467764i | ||||
\(378\) | − | 2.89603e11i | − | 0.729608i | ||||||
\(379\) | −4.52550e11 | − | 1.87453e11i | −1.12665 | − | 0.466675i | −0.260012 | − | 0.965605i | \(-0.583726\pi\) |
−0.866642 | + | 0.498930i | \(0.833726\pi\) | |||||||
\(380\) | −5.35682e8 | − | 1.29325e9i | −0.00131789 | − | 0.00318168i | ||||
\(381\) | 3.53465e11 | − | 1.46410e11i | 0.859378 | − | 0.355966i | ||||
\(382\) | −9.35802e10 | − | 9.35802e10i | −0.224853 | − | 0.224853i | ||||
\(383\) | 2.43997e11 | + | 2.43997e11i | 0.579415 | + | 0.579415i | 0.934742 | − | 0.355327i | \(-0.115631\pi\) |
−0.355327 | + | 0.934742i | \(0.615631\pi\) | |||||||
\(384\) | −1.57762e11 | + | 6.53470e10i | −0.370263 | + | 0.153368i | ||||
\(385\) | 4.49791e9 | + | 1.08589e10i | 0.0104337 | + | 0.0251891i | ||||
\(386\) | 1.79402e11 | + | 7.43109e10i | 0.411325 | + | 0.170377i | ||||
\(387\) | − | 6.11964e10i | − | 0.138684i | ||||||
\(388\) | −4.95226e9 | + | 1.19558e10i | −0.0110933 | + | 0.0267816i | ||||
\(389\) | −2.59147e11 | + | 2.59147e11i | −0.573816 | + | 0.573816i | −0.933193 | − | 0.359377i | \(-0.882989\pi\) |
0.359377 | + | 0.933193i | \(0.382989\pi\) | |||||||
\(390\) | 1.15022e10 | 0.0251762 | ||||||||
\(391\) | −2.49747e9 | − | 1.29902e11i | −0.00540387 | − | 0.281073i | ||||
\(392\) | 1.68722e11 | 0.360898 | ||||||||
\(393\) | −8.57340e10 | + | 8.57340e10i | −0.181295 | + | 0.181295i | ||||
\(394\) | −2.61996e11 | + | 6.32515e11i | −0.547725 | + | 1.32232i | ||||
\(395\) | − | 7.24471e9i | − | 0.0149739i | ||||||
\(396\) | 6.89005e10 | + | 2.85395e10i | 0.140797 | + | 0.0583201i | ||||
\(397\) | −6.53459e9 | − | 1.57759e10i | −0.0132027 | − | 0.0318740i | 0.917141 | − | 0.398564i | \(-0.130491\pi\) |
−0.930343 | + | 0.366689i | \(0.880491\pi\) | |||||||
\(398\) | 2.18653e11 | − | 9.05691e10i | 0.436799 | − | 0.180928i | ||||
\(399\) | −1.43667e11 | − | 1.43667e11i | −0.283779 | − | 0.283779i | ||||
\(400\) | −2.88239e11 | − | 2.88239e11i | −0.562968 | − | 0.562968i | ||||
\(401\) | −4.00633e11 | + | 1.65947e11i | −0.773743 | + | 0.320495i | −0.734387 | − | 0.678731i | \(-0.762530\pi\) |
−0.0393553 | + | 0.999225i | \(0.512530\pi\) | |||||||
\(402\) | 7.08676e10 | + | 1.71090e11i | 0.135341 | + | 0.326743i | ||||
\(403\) | 1.09573e12 | + | 4.53865e11i | 2.06933 | + | 0.857143i | ||||
\(404\) | 7.76247e10i | 0.144972i | ||||||||
\(405\) | −2.11998e8 | + | 5.11808e8i | −0.000391547 | + | 0.000945279i | ||||
\(406\) | −7.65896e10 | + | 7.65896e10i | −0.139895 | + | 0.139895i | ||||
\(407\) | 2.94081e11 | 0.531242 | ||||||||
\(408\) | 3.59826e11 | − | 6.91796e9i | 0.642867 | − | 0.0123597i | ||||
\(409\) | 4.20491e11 | 0.743022 | 0.371511 | − | 0.928429i | \(-0.378840\pi\) | ||||
0.371511 | + | 0.928429i | \(0.378840\pi\) | |||||||
\(410\) | −7.82185e9 | + | 7.82185e9i | −0.0136704 | + | 0.0136704i | ||||
\(411\) | 1.07885e11 | − | 2.60458e11i | 0.186498 | − | 0.450246i | ||||
\(412\) | 7.50759e10i | 0.128370i | ||||||||
\(413\) | −5.35733e11 | − | 2.21908e11i | −0.906093 | − | 0.375316i | ||||
\(414\) | −3.72273e10 | − | 8.98745e10i | −0.0622816 | − | 0.150361i | ||||
\(415\) | −1.18834e10 | + | 4.92227e9i | −0.0196664 | + | 0.00814609i | ||||
\(416\) | −2.80004e11 | − | 2.80004e11i | −0.458399 | − | 0.458399i | ||||
\(417\) | 1.20367e11 | + | 1.20367e11i | 0.194938 | + | 0.194938i | ||||
\(418\) | −5.92613e11 | + | 2.45468e11i | −0.949462 | + | 0.393280i | ||||
\(419\) | −2.94913e11 | − | 7.11982e11i | −0.467445 | − | 1.12851i | −0.965275 | − | 0.261237i | \(-0.915870\pi\) |
0.497830 | − | 0.867275i | \(-0.334130\pi\) | |||||||
\(420\) | −1.21528e9 | − | 5.03386e8i | −0.00190570 | − | 0.000789368i | ||||
\(421\) | 1.09759e12i | 1.70282i | 0.524498 | + | 0.851412i | \(0.324253\pi\) | ||||
−0.524498 | + | 0.851412i | \(0.675747\pi\) | |||||||
\(422\) | −3.12547e11 | + | 7.54556e11i | −0.479744 | + | 1.15820i | ||||
\(423\) | 1.26370e11 | − | 1.26370e11i | 0.191917 | − | 0.191917i | ||||
\(424\) | 4.26087e11 | 0.640254 | ||||||||
\(425\) | 2.69127e11 | + | 6.15966e11i | 0.400136 | + | 0.915813i | ||||
\(426\) | 6.68398e11 | 0.983314 | ||||||||
\(427\) | 6.54655e11 | − | 6.54655e11i | 0.952987 | − | 0.952987i | ||||
\(428\) | 1.17157e10 | − | 2.82842e10i | 0.0168761 | − | 0.0407425i | ||||
\(429\) | 1.10513e12i | 1.57527i | ||||||||
\(430\) | 3.14832e9 | + | 1.30408e9i | 0.00444089 | + | 0.00183948i | ||||
\(431\) | −4.37957e11 | − | 1.05732e12i | −0.611341 | − | 1.47591i | −0.861528 | − | 0.507710i | \(-0.830492\pi\) |
0.250187 | − | 0.968198i | \(-0.419508\pi\) | |||||||
\(432\) | 5.25580e11 | − | 2.17702e11i | 0.726042 | − | 0.300736i | ||||
\(433\) | −5.77891e11 | − | 5.77891e11i | −0.790042 | − | 0.790042i | 0.191459 | − | 0.981501i | \(-0.438678\pi\) |
−0.981501 | + | 0.191459i | \(0.938678\pi\) | |||||||
\(434\) | 4.57413e11 | + | 4.57413e11i | 0.618877 | + | 0.618877i | ||||
\(435\) | −2.70004e9 | + | 1.11839e9i | −0.00361550 | + | 0.00149759i | ||||
\(436\) | −3.45032e10 | − | 8.32982e10i | −0.0457268 | − | 0.110394i | ||||
\(437\) | −1.62080e11 | − | 6.71356e10i | −0.212600 | − | 0.0880616i | ||||
\(438\) | − | 7.50597e11i | − | 0.974481i | ||||||
\(439\) | −5.59701e11 | + | 1.35124e12i | −0.719226 | + | 1.73637i | −0.0436819 | + | 0.999045i | \(0.513909\pi\) |
−0.675544 | + | 0.737320i | \(0.736091\pi\) | |||||||
\(440\) | −1.98781e10 | + | 1.98781e10i | −0.0252835 | + | 0.0252835i | ||||
\(441\) | −1.71091e11 | −0.215404 | ||||||||
\(442\) | −5.52868e11 | − | 1.26538e12i | −0.689003 | − | 1.57696i | ||||
\(443\) | −7.93546e11 | −0.978938 | −0.489469 | − | 0.872021i | \(-0.662809\pi\) | ||||
−0.489469 | + | 0.872021i | \(0.662809\pi\) | |||||||
\(444\) | −2.32725e10 | + | 2.32725e10i | −0.0284197 | + | 0.0284197i | ||||
\(445\) | 1.18472e10 | − | 2.86017e10i | 0.0143218 | − | 0.0345758i | ||||
\(446\) | 9.83865e11i | 1.17741i | ||||||||
\(447\) | 1.34411e11 | + | 5.56751e10i | 0.159240 | + | 0.0659594i | ||||
\(448\) | −2.94087e11 | − | 7.09989e11i | −0.344925 | − | 0.832723i | ||||
\(449\) | −2.04276e11 | + | 8.46139e10i | −0.237197 | + | 0.0982501i | −0.498116 | − | 0.867111i | \(-0.665975\pi\) |
0.260919 | + | 0.965361i | \(0.415975\pi\) | |||||||
\(450\) | 3.55882e11 | + | 3.55882e11i | 0.409119 | + | 0.409119i | ||||
\(451\) | −7.51522e11 | − | 7.51522e11i | −0.855357 | − | 0.855357i | ||||
\(452\) | 9.29004e10 | − | 3.84806e10i | 0.104687 | − | 0.0433629i | ||||
\(453\) | 1.64749e11 | + | 3.97740e11i | 0.183816 | + | 0.443770i | ||||
\(454\) | 6.76056e10 | + | 2.80032e10i | 0.0746847 | + | 0.0309354i | ||||
\(455\) | 3.41658e10i | 0.0373715i | ||||||||
\(456\) | 1.85965e11 | − | 4.48959e11i | 0.201414 | − | 0.486256i | ||||
\(457\) | 9.07989e11 | − | 9.07989e11i | 0.973773 | − | 0.973773i | −0.0258919 | − | 0.999665i | \(-0.508243\pi\) |
0.999665 | + | 0.0258919i | \(0.00824258\pi\) | |||||||
\(458\) | 4.79639e11 | 0.509354 | ||||||||
\(459\) | −9.37927e11 | + | 1.80324e10i | −0.986306 | + | 0.0189626i | ||||
\(460\) | −1.13580e9 | −0.00118275 | ||||||||
\(461\) | 5.67089e11 | − | 5.67089e11i | 0.584787 | − | 0.584787i | −0.351428 | − | 0.936215i | \(-0.614304\pi\) |
0.936215 | + | 0.351428i | \(0.114304\pi\) | |||||||
\(462\) | −2.30669e11 | + | 5.56885e11i | −0.235560 | + | 0.568691i | ||||
\(463\) | 4.65197e11i | 0.470460i | 0.971940 | + | 0.235230i | \(0.0755844\pi\) | ||||
−0.971940 | + | 0.235230i | \(0.924416\pi\) | |||||||
\(464\) | −1.96572e11 | − | 8.14226e10i | −0.196875 | − | 0.0815481i | ||||
\(465\) | 6.67933e9 | + | 1.61253e10i | 0.00662514 | + | 0.0159945i | ||||
\(466\) | 1.36437e12 | − | 5.65140e11i | 1.34028 | − | 0.555161i | ||||
\(467\) | −1.20171e12 | − | 1.20171e12i | −1.16916 | − | 1.16916i | −0.982408 | − | 0.186749i | \(-0.940205\pi\) |
−0.186749 | − | 0.982408i | \(-0.559795\pi\) | |||||||
\(468\) | 1.53290e11 | + | 1.53290e11i | 0.147709 | + | 0.147709i | ||||
\(469\) | −5.08200e11 | + | 2.10503e11i | −0.485017 | + | 0.200900i | ||||
\(470\) | 3.80835e9 | + | 9.19416e9i | 0.00359995 | + | 0.00869104i | ||||
\(471\) | −8.62403e11 | − | 3.57219e11i | −0.807451 | − | 0.334457i | ||||
\(472\) | − | 1.38692e12i | − | 1.28621i | ||||||
\(473\) | −1.25295e11 | + | 3.02490e11i | −0.115096 | + | 0.277866i | ||||
\(474\) | 2.62715e11 | − | 2.62715e11i | 0.239047 | − | 0.239047i | ||||
\(475\) | 9.07639e11 | 0.818072 | ||||||||
\(476\) | 3.03560e9 | + | 1.57891e11i | 0.00271027 | + | 0.140970i | ||||
\(477\) | −4.32069e11 | −0.382138 | ||||||||
\(478\) | 7.55199e11 | − | 7.55199e11i | 0.661661 | − | 0.661661i | ||||
\(479\) | 4.04081e11 | − | 9.75538e11i | 0.350719 | − | 0.846710i | −0.645813 | − | 0.763496i | \(-0.723481\pi\) |
0.996532 | − | 0.0832141i | \(-0.0265185\pi\) | |||||||
\(480\) | − | 5.82755e9i | − | 0.00501072i | ||||||
\(481\) | 7.89775e11 | + | 3.27135e11i | 0.672745 | + | 0.278660i | ||||
\(482\) | 7.93747e11 | + | 1.91627e12i | 0.669839 | + | 1.61713i | ||||
\(483\) | −1.52308e11 | + | 6.30882e10i | −0.127339 | + | 0.0527455i | ||||
\(484\) | −1.34171e11 | − | 1.34171e11i | −0.111136 | − | 0.111136i | ||||
\(485\) | 3.49772e9 | + | 3.49772e9i | 0.00287043 | + | 0.00287043i | ||||
\(486\) | −1.04539e12 | + | 4.33016e11i | −0.849996 | + | 0.352080i | ||||
\(487\) | 3.79720e11 | + | 9.16725e11i | 0.305903 | + | 0.738514i | 0.999829 | + | 0.0184687i | \(0.00587912\pi\) |
−0.693927 | + | 0.720046i | \(0.744121\pi\) | |||||||
\(488\) | 2.04579e12 | + | 8.47395e11i | 1.63295 | + | 0.676389i | ||||
\(489\) | − | 2.31039e11i | − | 0.182724i | ||||||
\(490\) | 3.64589e9 | − | 8.80196e9i | 0.00285707 | − | 0.00689759i | ||||
\(491\) | −1.03967e12 | + | 1.03967e12i | −0.807288 | + | 0.807288i | −0.984223 | − | 0.176934i | \(-0.943382\pi\) |
0.176934 | + | 0.984223i | \(0.443382\pi\) | |||||||
\(492\) | 1.18945e11 | 0.0915176 | ||||||||
\(493\) | 2.52817e11 | + | 2.43279e11i | 0.192750 | + | 0.185479i | ||||
\(494\) | −1.86456e12 | −1.40866 | ||||||||
\(495\) | 2.01571e10 | − | 2.01571e10i | 0.0150906 | − | 0.0150906i | ||||
\(496\) | −4.86277e11 | + | 1.17398e12i | −0.360758 | + | 0.870947i | ||||
\(497\) | 1.98539e12i | 1.45963i | ||||||||
\(498\) | −6.09426e11 | − | 2.52432e11i | −0.444006 | − | 0.183913i | ||||
\(499\) | −6.50804e10 | − | 1.57118e11i | −0.0469892 | − | 0.113442i | 0.898642 | − | 0.438682i | \(-0.144555\pi\) |
−0.945631 | + | 0.325241i | \(0.894555\pi\) | |||||||
\(500\) | 1.08611e10 | − | 4.49883e9i | 0.00777160 | − | 0.00321910i | ||||
\(501\) | −7.09580e11 | − | 7.09580e11i | −0.503190 | − | 0.503190i | ||||
\(502\) | −5.63445e11 | − | 5.63445e11i | −0.395990 | − | 0.395990i | ||||
\(503\) | 7.34308e11 | − | 3.04160e11i | 0.511473 | − | 0.211859i | −0.111994 | − | 0.993709i | \(-0.535724\pi\) |
0.623467 | + | 0.781850i | \(0.285724\pi\) | |||||||
\(504\) | 3.06302e11 | + | 7.39478e11i | 0.211452 | + | 0.510491i | ||||
\(505\) | 2.74127e10 | + | 1.13547e10i | 0.0187560 | + | 0.00776900i | ||||
\(506\) | 5.20464e11i | 0.352950i | ||||||||
\(507\) | −8.86190e11 | + | 2.13945e12i | −0.595650 | + | 1.43803i | ||||
\(508\) | −2.83923e11 | + | 2.83923e11i | −0.189154 | + | 0.189154i | ||||
\(509\) | 7.47208e11 | 0.493414 | 0.246707 | − | 0.969090i | \(-0.420651\pi\) | ||||
0.246707 | + | 0.969090i | \(0.420651\pi\) | |||||||
\(510\) | 7.41452e9 | − | 1.89210e10i | 0.00485308 | − | 0.0123845i | ||||
\(511\) | 2.22955e12 | 1.44652 | ||||||||
\(512\) | 1.23442e12 | − | 1.23442e12i | 0.793866 | − | 0.793866i | ||||
\(513\) | −4.84739e11 | + | 1.17026e12i | −0.309015 | + | 0.746028i | ||||
\(514\) | − | 4.30565e11i | − | 0.272085i | ||||||
\(515\) | 2.65126e10 | + | 1.09819e10i | 0.0166081 | + | 0.00687930i | ||||
\(516\) | −1.40225e10 | − | 3.38534e10i | −0.00870768 | − | 0.0210222i | ||||
\(517\) | −8.83373e11 | + | 3.65905e11i | −0.543797 | + | 0.225248i | ||||
\(518\) | 3.29693e11 | + | 3.29693e11i | 0.201199 | + | 0.201199i | ||||
\(519\) | −2.80351e11 | − | 2.80351e11i | −0.169609 | − | 0.169609i | ||||
\(520\) | −7.54963e10 | + | 3.12716e10i | −0.0452804 | + | 0.0187558i | ||||
\(521\) | 1.84838e10 | + | 4.46238e10i | 0.0109906 | + | 0.0265336i | 0.929280 | − | 0.369377i | \(-0.120429\pi\) |
−0.918289 | + | 0.395911i | \(0.870429\pi\) | |||||||
\(522\) | 2.42702e11 | + | 1.00530e11i | 0.143072 | + | 0.0592625i | ||||
\(523\) | 1.41680e11i | 0.0828041i | 0.999143 | + | 0.0414020i | \(0.0131824\pi\) | ||||
−0.999143 | + | 0.0414020i | \(0.986818\pi\) | |||||||
\(524\) | 4.86959e10 | − | 1.17562e11i | 0.0282164 | − | 0.0681205i | ||||
\(525\) | 6.03105e11 | − | 6.03105e11i | 0.346478 | − | 0.346478i | ||||
\(526\) | −2.95759e12 | −1.68462 | ||||||||
\(527\) | 1.45293e12 | − | 1.50989e12i | 0.820533 | − | 0.852702i | ||||
\(528\) | −1.18405e12 | −0.663007 | ||||||||
\(529\) | 1.17295e12 | − | 1.17295e12i | 0.651223 | − | 0.651223i | ||||
\(530\) | 9.20725e9 | − | 2.22283e10i | 0.00506861 | − | 0.0122367i | ||||
\(531\) | 1.40639e12i | 0.767681i | ||||||||
\(532\) | 1.97003e11 | + | 8.16013e10i | 0.106628 | + | 0.0441667i | ||||
\(533\) | −1.18227e12 | − | 2.85426e12i | −0.634519 | − | 1.53187i | ||||
\(534\) | 1.46680e12 | − | 6.07570e11i | 0.780614 | − | 0.323341i | ||||
\(535\) | −8.27467e9 | − | 8.27467e9i | −0.00436675 | − | 0.00436675i | ||||
\(536\) | −9.30299e11 | − | 9.30299e11i | −0.486834 | − | 0.486834i | ||||
\(537\) | 1.24163e12 | − | 5.14298e11i | 0.644327 | − | 0.266889i | ||||
\(538\) | −2.20857e11 | − | 5.33195e11i | −0.113655 | − | 0.274388i | ||||
\(539\) | 8.45691e11 | + | 3.50297e11i | 0.431581 | + | 0.178767i | ||||
\(540\) | 8.20082e9i | 0.00415036i | ||||||||
\(541\) | 9.54742e11 | − | 2.30495e12i | 0.479179 | − | 1.15684i | −0.480815 | − | 0.876822i | \(-0.659659\pi\) |
0.959994 | − | 0.280019i | \(-0.0903409\pi\) | |||||||
\(542\) | 9.76183e11 | − | 9.76183e11i | 0.485886 | − | 0.485886i | ||||
\(543\) | 3.94318e10 | 0.0194647 | ||||||||
\(544\) | −6.41099e11 | + | 2.80108e11i | −0.313856 | + | 0.137130i | ||||
\(545\) | −3.44633e10 | −0.0167330 | ||||||||
\(546\) | −1.23896e12 | + | 1.23896e12i | −0.596608 | + | 0.596608i | ||||
\(547\) | 5.84199e11 | − | 1.41038e12i | 0.279009 | − | 0.673586i | −0.720800 | − | 0.693143i | \(-0.756225\pi\) |
0.999809 | + | 0.0195567i | \(0.00622547\pi\) | |||||||
\(548\) | 2.95874e11i | 0.140151i | ||||||||
\(549\) | −2.07451e12 | − | 8.59292e11i | −0.974632 | − | 0.403706i | ||||
\(550\) | −1.03046e12 | − | 2.48775e12i | −0.480173 | − | 1.15924i | ||||
\(551\) | 4.37689e11 | − | 1.81297e11i | 0.202294 | − | 0.0837929i | ||||
\(552\) | −2.78812e11 | − | 2.78812e11i | −0.127816 | − | 0.127816i | ||||
\(553\) | 7.80362e11 | + | 7.80362e11i | 0.354841 | + | 0.354841i | ||||
\(554\) | −1.74332e12 | + | 7.22105e11i | −0.786289 | + | 0.325691i | ||||
\(555\) | 4.81431e9 | + | 1.16228e10i | 0.00215385 | + | 0.00519986i | ||||
\(556\) | −1.65053e11 | − | 6.83672e10i | −0.0732465 | − | 0.0303397i | ||||
\(557\) | 1.83453e12i | 0.807563i | 0.914855 | + | 0.403782i | \(0.132304\pi\) | ||||
−0.914855 | + | 0.403782i | \(0.867696\pi\) | |||||||
\(558\) | 6.00394e11 | − | 1.44948e12i | 0.262170 | − | 0.632934i | ||||
\(559\) | −6.72979e11 | + | 6.72979e11i | −0.291507 | + | 0.291507i | ||||
\(560\) | −3.66058e10 | −0.0157291 | ||||||||
\(561\) | 1.81793e12 | + | 7.12386e11i | 0.774897 | + | 0.303657i | ||||
\(562\) | 2.77788e12 | 1.17463 | ||||||||
\(563\) | −3.01559e12 | + | 3.01559e12i | −1.26498 | + | 1.26498i | −0.316333 | + | 0.948648i | \(0.602452\pi\) |
−0.948648 | + | 0.316333i | \(0.897548\pi\) | |||||||
\(564\) | 4.09505e10 | − | 9.88634e10i | 0.0170413 | − | 0.0411414i | ||||
\(565\) | − | 3.84361e10i | − | 0.0158680i | ||||||
\(566\) | 1.63005e12 | + | 6.75190e11i | 0.667618 | + | 0.276536i | ||||
\(567\) | −3.22940e10 | − | 7.79646e10i | −0.0131219 | − | 0.0316792i | ||||
\(568\) | −4.38713e12 | + | 1.81721e12i | −1.76853 | + | 0.732549i | ||||
\(569\) | 1.30192e11 | + | 1.30192e11i | 0.0520691 | + | 0.0520691i | 0.732662 | − | 0.680593i | \(-0.238278\pi\) |
−0.680593 | + | 0.732662i | \(0.738278\pi\) | |||||||
\(570\) | −1.94030e10 | − | 1.94030e10i | −0.00769895 | − | 0.00769895i | ||||
\(571\) | 5.88635e11 | − | 2.43820e11i | 0.231731 | − | 0.0959860i | −0.263797 | − | 0.964578i | \(-0.584975\pi\) |
0.495527 | + | 0.868592i | \(0.334975\pi\) | |||||||
\(572\) | −4.43851e11 | − | 1.07155e12i | −0.173363 | − | 0.418534i | ||||
\(573\) | 5.02545e11 | + | 2.08161e11i | 0.194751 | + | 0.0806683i | ||||
\(574\) | − | 1.68506e12i | − | 0.647905i | ||||||
\(575\) | 2.81831e11 | − | 6.80399e11i | 0.107518 | − | 0.259572i | ||||
\(576\) | −1.31794e12 | + | 1.31794e12i | −0.498877 | + | 0.498877i | ||||
\(577\) | −1.01674e12 | −0.381873 | −0.190936 | − | 0.981602i | \(-0.561152\pi\) | ||||
−0.190936 | + | 0.981602i | \(0.561152\pi\) | |||||||
\(578\) | −2.43792e12 | + | 9.37770e10i | −0.908542 | + | 0.0349479i | ||||
\(579\) | −7.98129e11 | −0.295134 | ||||||||
\(580\) | 2.16882e9 | − | 2.16882e9i | 0.000795790 | − | 0.000795790i | ||||
\(581\) | 7.49818e11 | − | 1.81022e12i | 0.273000 | − | 0.659081i | ||||
\(582\) | 2.53676e11i | 0.0916487i | ||||||||
\(583\) | 2.13569e12 | + | 8.84632e11i | 0.765649 | + | 0.317142i | ||||
\(584\) | 2.04069e12 | + | 4.92665e12i | 0.725969 | + | 1.75264i | ||||
\(585\) | 7.65562e10 | − | 3.17106e10i | 0.0270258 | − | 0.0111945i | ||||
\(586\) | 2.30003e12 | + | 2.30003e12i | 0.805737 | + | 0.805737i | ||||
\(587\) | 1.55336e12 | + | 1.55336e12i | 0.540010 | + | 0.540010i | 0.923532 | − | 0.383522i | \(-0.125289\pi\) |
−0.383522 | + | 0.923532i | \(0.625289\pi\) | |||||||
\(588\) | −9.46461e10 | + | 3.92037e10i | −0.0326516 | + | 0.0135248i | ||||
\(589\) | −1.08275e12 | − | 2.61399e12i | −0.370689 | − | 0.894922i | ||||
\(590\) | −7.23534e10 | − | 2.99698e10i | −0.0245824 | − | 0.0101824i | ||||
\(591\) | − | 2.81395e12i | − | 0.948794i | ||||||
\(592\) | −3.50498e11 | + | 8.46176e11i | −0.117284 | + | 0.283148i | ||||
\(593\) | 2.04798e11 | − | 2.04798e11i | 0.0680111 | − | 0.0680111i | −0.672283 | − | 0.740294i | \(-0.734686\pi\) |
0.740294 | + | 0.672283i | \(0.234686\pi\) | |||||||
\(594\) | 3.75790e12 | 1.23853 | ||||||||
\(595\) | 5.62024e10 | + | 2.20239e10i | 0.0183835 | + | 0.00720390i | ||||
\(596\) | −1.52688e11 | −0.0495676 | ||||||||
\(597\) | −6.87837e11 | + | 6.87837e11i | −0.221616 | + | 0.221616i | ||||
\(598\) | −5.78964e11 | + | 1.39774e12i | −0.185138 | + | 0.446963i | ||||
\(599\) | − | 3.94569e12i | − | 1.25228i | −0.779710 | − | 0.626141i | \(-0.784633\pi\) | ||
0.779710 | − | 0.626141i | \(-0.215367\pi\) | |||||||
\(600\) | 1.88470e12 | + | 7.80667e11i | 0.593692 | + | 0.245915i | ||||
\(601\) | 1.67836e12 | + | 4.05192e12i | 0.524747 | + | 1.26685i | 0.934925 | + | 0.354845i | \(0.115466\pi\) |
−0.410178 | + | 0.912005i | \(0.634534\pi\) | |||||||
\(602\) | −4.79588e11 | + | 1.98652e11i | −0.148828 | + | 0.0616465i | ||||
\(603\) | 9.43360e11 | + | 9.43360e11i | 0.290569 | + | 0.290569i | ||||
\(604\) | −3.19488e11 | − | 3.19488e11i | −0.0976760 | − | 0.0976760i | ||||
\(605\) | −6.70080e10 | + | 2.77556e10i | −0.0203342 | + | 0.00842271i | ||||
\(606\) | 5.82312e11 | + | 1.40583e12i | 0.175400 | + | 0.423452i | ||||
\(607\) | −1.14973e11 | − | 4.76235e10i | −0.0343754 | − | 0.0142388i | 0.365429 | − | 0.930839i | \(-0.380922\pi\) |
−0.399805 | + | 0.916600i | \(0.630922\pi\) | |||||||
\(608\) | 9.44673e11i | 0.280359i | ||||||||
\(609\) | 1.70367e11 | − | 4.11301e11i | 0.0501888 | − | 0.121166i | ||||
\(610\) | 8.84145e10 | − | 8.84145e10i | 0.0258547 | − | 0.0258547i | ||||
\(611\) | −2.77939e12 | −0.806797 | ||||||||
\(612\) | 3.50974e11 | − | 1.53347e11i | 0.101133 | − | 0.0441869i | ||||
\(613\) | −2.13411e12 | −0.610442 | −0.305221 | − | 0.952282i | \(-0.598730\pi\) | ||||
−0.305221 | + | 0.952282i | \(0.598730\pi\) | |||||||
\(614\) | 1.70912e12 | − | 1.70912e12i | 0.485306 | − | 0.485306i | ||||
\(615\) | 1.73990e10 | − | 4.20049e10i | 0.00490440 | − | 0.0118403i | ||||
\(616\) | − | 4.28232e12i | − | 1.19830i | ||||||
\(617\) | −5.29169e12 | − | 2.19189e12i | −1.46998 | − | 0.608885i | −0.503124 | − | 0.864214i | \(-0.667816\pi\) |
−0.966854 | + | 0.255329i | \(0.917816\pi\) | |||||||
\(618\) | 5.63192e11 | + | 1.35967e12i | 0.155313 | + | 0.374959i | ||||
\(619\) | 1.28946e12 | − | 5.34113e11i | 0.353022 | − | 0.146226i | −0.199123 | − | 0.979974i | \(-0.563809\pi\) |
0.552145 | + | 0.833748i | \(0.313809\pi\) | |||||||
\(620\) | −1.29528e10 | − | 1.29528e10i | −0.00352047 | − | 0.00352047i | ||||
\(621\) | 7.26756e11 | + | 7.26756e11i | 0.196099 | + | 0.196099i | ||||
\(622\) | 3.33613e9 | − | 1.38187e9i | 0.000893688 | − | 0.000370178i | ||||
\(623\) | 1.80471e12 | + | 4.35695e12i | 0.479966 | + | 1.15874i | ||||
\(624\) | −3.17985e12 | − | 1.31714e12i | −0.839608 | − | 0.347777i | ||||
\(625\) | 3.80796e12i | 0.998233i | ||||||||
\(626\) | 1.35070e12 | − | 3.26087e12i | 0.351538 | − | 0.848689i | ||||
\(627\) | 1.86423e12 | − | 1.86423e12i | 0.481722 | − | 0.481722i | ||||
\(628\) | 9.79669e11 | 0.251340 | ||||||||
\(629\) | 1.04724e12 | − | 1.08829e12i | 0.266758 | − | 0.277216i | ||||
\(630\) | 4.51962e10 | 0.0114306 | ||||||||
\(631\) | −4.02283e12 | + | 4.02283e12i | −1.01018 | + | 1.01018i | −0.0102352 | + | 0.999948i | \(0.503258\pi\) |
−0.999948 | + | 0.0102352i | \(0.996742\pi\) | |||||||
\(632\) | −1.01011e12 | + | 2.43863e12i | −0.251850 | + | 0.608021i | ||||
\(633\) | − | 3.35688e12i | − | 0.831035i | ||||||
\(634\) | 6.53456e10 | + | 2.70670e10i | 0.0160626 | + | 0.00665333i | ||||
\(635\) | 5.87344e10 | + | 1.41797e11i | 0.0143354 | + | 0.0346088i | ||||
\(636\) | −2.39017e11 | + | 9.90042e10i | −0.0579258 | + | 0.0239937i | ||||
\(637\) | 1.88149e12 | + | 1.88149e12i | 0.452767 | + | 0.452767i | ||||
\(638\) | −9.93831e11 | − | 9.93831e11i | −0.237476 | − | 0.237476i | ||||
\(639\) | 4.44872e12 | − | 1.84272e12i | 1.05556 | − | 0.437225i | ||||
\(640\) | −2.62148e10 | − | 6.32882e10i | −0.00617642 | − | 0.0149112i | ||||
\(641\) | −6.48020e12 | − | 2.68419e12i | −1.51610 | − | 0.627989i | −0.539294 | − | 0.842118i | \(-0.681309\pi\) |
−0.976805 | + | 0.214129i | \(0.931309\pi\) | |||||||
\(642\) | − | 6.00129e11i | − | 0.139424i | ||||||
\(643\) | −2.22025e12 | + | 5.36016e12i | −0.512215 | + | 1.23660i | 0.430377 | + | 0.902649i | \(0.358381\pi\) |
−0.942592 | + | 0.333947i | \(0.891619\pi\) | |||||||
\(644\) | 1.22343e11 | − | 1.22343e11i | 0.0280280 | − | 0.0280280i | ||||
\(645\) | −1.40063e10 | −0.00318643 | ||||||||
\(646\) | −1.20193e12 | + | 3.06718e12i | −0.271539 | + | 0.692937i | ||||
\(647\) | 1.98910e12 | 0.446260 | 0.223130 | − | 0.974789i | \(-0.428373\pi\) | ||||
0.223130 | + | 0.974789i | \(0.428373\pi\) | |||||||
\(648\) | 1.42720e11 | − | 1.42720e11i | 0.0317979 | − | 0.0317979i | ||||
\(649\) | 2.87949e12 | − | 6.95170e12i | 0.637110 | − | 1.53812i | ||||
\(650\) | − | 7.82729e12i | − | 1.71989i | ||||||
\(651\) | −2.45640e12 | − | 1.01747e12i | −0.536024 | − | 0.222029i | ||||
\(652\) | 9.27917e10 | + | 2.24019e11i | 0.0201092 | + | 0.0485479i | ||||
\(653\) | −2.99785e12 | + | 1.24175e12i | −0.645209 | + | 0.267254i | −0.681199 | − | 0.732098i | \(-0.738541\pi\) |
0.0359906 | + | 0.999352i | \(0.488541\pi\) | |||||||
\(654\) | −1.24974e12 | − | 1.24974e12i | −0.267129 | − | 0.267129i | ||||
\(655\) | −3.43934e10 | − | 3.43934e10i | −0.00730111 | − | 0.00730111i | ||||
\(656\) | 3.05809e12 | − | 1.26670e12i | 0.644738 | − | 0.267059i | ||||
\(657\) | −2.06933e12 | − | 4.99581e12i | −0.433298 | − | 1.04607i | ||||
\(658\) | −1.40056e12 | − | 5.80132e11i | −0.291263 | − | 0.120645i | ||||
\(659\) | 1.05636e12i | 0.218186i | 0.994032 | + | 0.109093i | \(0.0347946\pi\) | ||||
−0.994032 | + | 0.109093i | \(0.965205\pi\) | |||||||
\(660\) | 6.53197e9 | − | 1.57696e10i | 0.00133998 | − | 0.00323499i | ||||
\(661\) | −2.16113e12 | + | 2.16113e12i | −0.440325 | + | 0.440325i | −0.892121 | − | 0.451796i | \(-0.850783\pi\) |
0.451796 | + | 0.892121i | \(0.350783\pi\) | |||||||
\(662\) | −3.68964e12 | −0.746661 | ||||||||
\(663\) | 4.08971e12 | + | 3.93542e12i | 0.822019 | + | 0.791008i | ||||
\(664\) | 4.68635e12 | 0.935575 | ||||||||
\(665\) | 5.76340e10 | − | 5.76340e10i | 0.0114283 | − | 0.0114283i | ||||
\(666\) | 4.32751e11 | − | 1.04475e12i | 0.0852322 | − | 0.205769i | ||||
\(667\) | − | 3.84402e11i | − | 0.0752002i | ||||||
\(668\) | 9.73008e11 | + | 4.03033e11i | 0.189070 | + | 0.0783153i | ||||
\(669\) | −1.54752e12 | − | 3.73604e12i | −0.298688 | − | 0.721097i | ||||
\(670\) | −6.86349e10 | + | 2.84295e10i | −0.0131586 | + | 0.00545046i | ||||
\(671\) | 8.49485e12 | + | 8.49485e12i | 1.61772 | + | 1.61772i | ||||
\(672\) | 6.27713e11 | + | 6.27713e11i | 0.118741 | + | 0.118741i | ||||
\(673\) | 1.31466e12 | − | 5.44550e11i | 0.247028 | − | 0.102322i | −0.255734 | − | 0.966747i | \(-0.582317\pi\) |
0.502762 | + | 0.864425i | \(0.332317\pi\) | |||||||
\(674\) | −1.59911e12 | − | 3.86059e12i | −0.298475 | − | 0.720583i | ||||
\(675\) | −4.91268e12 | − | 2.03490e12i | −0.910860 | − | 0.377290i | ||||
\(676\) | − | 2.43037e12i | − | 0.447622i | ||||||
\(677\) | 1.46887e12 | − | 3.54617e12i | 0.268741 | − | 0.648799i | −0.730683 | − | 0.682717i | \(-0.760798\pi\) |
0.999425 | + | 0.0339175i | \(0.0107984\pi\) | |||||||
\(678\) | 1.39381e12 | − | 1.39381e12i | 0.253320 | − | 0.253320i | ||||
\(679\) | −7.53513e11 | −0.136043 | ||||||||
\(680\) | 2.77523e9 | + | 1.44349e11i | 0.000497748 | + | 0.0258895i | ||||
\(681\) | −3.00765e11 | −0.0535878 | ||||||||
\(682\) | −5.93542e12 | + | 5.93542e12i | −1.05056 | + | 1.05056i | ||||
\(683\) | −3.64873e11 | + | 8.80882e11i | −0.0641577 | + | 0.154890i | −0.952707 | − | 0.303891i | \(-0.901714\pi\) |
0.888549 | + | 0.458782i | \(0.151714\pi\) | |||||||
\(684\) | − | 5.17167e11i | − | 0.0903396i | ||||||
\(685\) | 1.04486e11 | + | 4.32797e10i | 0.0181323 | + | 0.00751063i | ||||
\(686\) | 2.19709e12 | + | 5.30425e12i | 0.378782 | + | 0.914461i | ||||
\(687\) | −1.82133e12 | + | 7.54421e11i | −0.311949 | + | 0.129214i | ||||
\(688\) | −7.21039e11 | − | 7.21039e11i | −0.122691 | − | 0.122691i | ||||
\(689\) | 4.75148e12 | + | 4.75148e12i | 0.803234 | + | 0.803234i | ||||
\(690\) | −2.05700e10 | + | 8.52037e9i | −0.00345472 | + | 0.00143099i | ||||
\(691\) | −8.65703e10 | − | 2.08999e11i | −0.0144450 | − | 0.0348733i | 0.916492 | − | 0.400052i | \(-0.131008\pi\) |
−0.930937 | + | 0.365179i | \(0.881008\pi\) | |||||||
\(692\) | 3.84429e11 | + | 1.59236e11i | 0.0637293 | + | 0.0263975i | ||||
\(693\) | 4.34244e12i | 0.715212i | ||||||||
\(694\) | 3.15919e12 | − | 7.62695e12i | 0.516961 | − | 1.24805i | ||||
\(695\) | −4.82870e10 | + | 4.82870e10i | −0.00785052 | + | 0.00785052i | ||||
\(696\) | 1.06479e12 | 0.171997 | ||||||||
\(697\) | −5.45734e12 | + | 1.04922e11i | −0.875857 | + | 0.0168391i | ||||
\(698\) | −5.39943e12 | −0.860991 | ||||||||
\(699\) | −4.29201e12 | + | 4.29201e12i | −0.680008 | + | 0.680008i | ||||
\(700\) | −3.42556e11 | + | 8.27004e11i | −0.0539251 | + | 0.130187i | ||||
\(701\) | − | 5.32445e12i | − | 0.832805i | −0.909180 | − | 0.416403i | \(-0.863291\pi\) | ||
0.909180 | − | 0.416403i | \(-0.136709\pi\) | |||||||
\(702\) | 1.00921e13 | + | 4.18029e12i | 1.56843 | + | 0.649665i | ||||
\(703\) | −7.80422e11 | − | 1.88411e12i | −0.120512 | − | 0.290942i | ||||
\(704\) | 9.21287e12 | − | 3.81609e12i | 1.41357 | − | 0.585521i | ||||
\(705\) | −2.89229e10 | − | 2.89229e10i | −0.00440951 | − | 0.00440951i | ||||
\(706\) | 6.16402e12 | + | 6.16402e12i | 0.933777 | + | 0.933777i | ||||
\(707\) | −4.17582e12 | + | 1.72968e12i | −0.628572 | + | 0.260363i | ||||
\(708\) | 3.22260e11 | + | 7.78005e11i | 0.0482011 | + | 0.116368i | ||||
\(709\) | 6.75466e12 | + | 2.79787e12i | 1.00391 | + | 0.415834i | 0.823230 | − | 0.567708i | \(-0.192170\pi\) |
0.180681 | + | 0.983542i | \(0.442170\pi\) | |||||||
\(710\) | 2.68137e11i | 0.0395999i | ||||||||
\(711\) | 1.02429e12 | − | 2.47286e12i | 0.150318 | − | 0.362900i | ||||
\(712\) | −7.97574e12 | + | 7.97574e12i | −1.16308 | + | 1.16308i | ||||
\(713\) | −2.29575e12 | −0.332676 | ||||||||
\(714\) | 1.23942e12 | + | 2.83673e12i | 0.178475 | + | 0.408484i | ||||
\(715\) | −4.43338e11 | −0.0634392 | ||||||||
\(716\) | −9.97345e11 | + | 9.97345e11i | −0.141820 | + | 0.141820i | ||||
\(717\) | −1.67987e12 | + | 4.05557e12i | −0.237378 | + | 0.573080i | ||||
\(718\) | 5.58919e12i | 0.784854i | ||||||||
\(719\) | 4.97906e12 | + | 2.06240e12i | 0.694813 | + | 0.287801i | 0.702004 | − | 0.712173i | \(-0.252289\pi\) |
−0.00719096 | + | 0.999974i | \(0.502289\pi\) | |||||||
\(720\) | 3.39752e10 | + | 8.20234e10i | 0.00471157 | + | 0.0113747i | ||||
\(721\) | −4.03871e12 | + | 1.67289e12i | −0.556588 | + | 0.230546i | ||||
\(722\) | −1.54896e12 | − | 1.54896e12i | −0.212140 | − | 0.212140i | ||||
\(723\) | −6.02820e12 | − | 6.02820e12i | −0.820474 | − | 0.820474i | ||||
\(724\) | −3.82337e10 | + | 1.58369e10i | −0.00517158 | + | 0.00214214i | ||||
\(725\) | 7.61070e11 | + | 1.83739e12i | 0.102307 | + | 0.246990i | ||||
\(726\) | −3.43642e12 | − | 1.42341e12i | −0.459083 | − | 0.190158i | ||||
\(727\) | 1.11382e13i | 1.47880i | 0.673265 | + | 0.739402i | \(0.264892\pi\) | ||||
−0.673265 | + | 0.739402i | \(0.735108\pi\) | |||||||
\(728\) | 4.76365e12 | − | 1.15005e13i | 0.628563 | − | 1.51749i | ||||
\(729\) | 3.06130e12 | − | 3.06130e12i | 0.401450 | − | 0.401450i | ||||
\(730\) | 3.01112e11 | 0.0392442 | ||||||||
\(731\) | 6.73230e11 | + | 1.54086e12i | 0.0872038 | + | 0.199588i | ||||
\(732\) | −1.34450e12 | −0.173086 | ||||||||
\(733\) | 2.52060e12 | − | 2.52060e12i | 0.322505 | − | 0.322505i | −0.527222 | − | 0.849727i | \(-0.676766\pi\) |
0.849727 | + | 0.527222i | \(0.176766\pi\) | |||||||
\(734\) | −7.68194e11 | + | 1.85458e12i | −0.0976874 | + | 0.235838i | ||||
\(735\) | 3.91583e10i | 0.00494916i | ||||||||
\(736\) | 7.08161e11 | + | 2.93330e11i | 0.0889574 | + | 0.0368474i | ||||
\(737\) | −2.73150e12 | − | 6.59443e12i | −0.341034 | − | 0.823330i | ||||
\(738\) | −3.77575e12 | + | 1.56397e12i | −0.468543 | + | 0.194077i | ||||
\(739\) | −1.69412e12 | − | 1.69412e12i | −0.208951 | − | 0.208951i | 0.594870 | − | 0.803822i | \(-0.297203\pi\) |
−0.803822 | + | 0.594870i | \(0.797203\pi\) | |||||||
\(740\) | −9.33608e9 | − | 9.33608e9i | −0.00114452 | − | 0.00114452i | ||||
\(741\) | 7.08030e12 | − | 2.93276e12i | 0.862720 | − | 0.357350i | ||||
\(742\) | 1.40256e12 | + | 3.38607e12i | 0.169865 | + | 0.410089i | ||||
\(743\) | −7.71248e12 | − | 3.19461e12i | −0.928420 | − | 0.384564i | −0.133341 | − | 0.991070i | \(-0.542571\pi\) |
−0.795079 | + | 0.606506i | \(0.792571\pi\) | |||||||
\(744\) | − | 6.35920e12i | − | 0.760894i | ||||||
\(745\) | −2.23348e10 | + | 5.39210e10i | −0.00265631 | + | 0.00641290i | ||||
\(746\) | −5.25873e12 | + | 5.25873e12i | −0.621664 | + | 0.621664i | ||||
\(747\) | −4.75214e12 | −0.558402 | ||||||||
\(748\) | −2.04881e12 | + | 3.93901e10i | −0.239301 | + | 0.00460076i | ||||
\(749\) | 1.78261e12 | 0.206961 | ||||||||
\(750\) | 1.62953e11 | − | 1.62953e11i | 0.0188055 | − | 0.0188055i | ||||
\(751\) | 3.76419e12 | − | 9.08756e12i | 0.431809 | − | 1.04248i | −0.546895 | − | 0.837201i | \(-0.684190\pi\) |
0.978704 | − | 0.205278i | \(-0.0658098\pi\) | |||||||
\(752\) | − | 2.97788e12i | − | 0.339568i | ||||||
\(753\) | 3.02581e12 | + | 1.25333e12i | 0.342977 | + | 0.142066i | ||||
\(754\) | −1.56346e12 | − | 3.77454e12i | −0.176164 | − | 0.425297i | ||||
\(755\) | −1.59559e11 | + | 6.60915e10i | −0.0178715 | + | 0.00740260i | ||||
\(756\) | −8.83349e11 | − | 8.83349e11i | −0.0983523 | − | 0.0983523i | ||||
\(757\) | −6.70583e12 | − | 6.70583e12i | −0.742200 | − | 0.742200i | 0.230801 | − | 0.973001i | \(-0.425865\pi\) |
−0.973001 | + | 0.230801i | \(0.925865\pi\) | |||||||
\(758\) | 9.31039e12 | − | 3.85649e12i | 1.02437 | − | 0.424308i | ||||
\(759\) | −8.18636e11 | − | 1.97636e12i | −0.0895371 | − | 0.216162i |