Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75292 | + | 2.75292i | −1.37646 | + | 1.37646i | −0.525935 | + | 0.850525i | \(0.676284\pi\) |
−0.850525 | + | 0.525935i | \(0.823716\pi\) | |||||||
\(3\) | −0.348601 | + | 0.348601i | −0.116200 | + | 0.116200i | −0.762816 | − | 0.646616i | \(-0.776184\pi\) |
0.646616 | + | 0.762816i | \(0.276184\pi\) | |||||||
\(4\) | − | 11.1571i | − | 2.78928i | ||||||
\(5\) | −4.86430 | + | 4.86430i | −0.972861 | + | 0.972861i | −0.999641 | − | 0.0267804i | \(-0.991475\pi\) |
0.0267804 | + | 0.999641i | \(0.491475\pi\) | |||||||
\(6\) | − | 1.91934i | − | 0.319890i | ||||||
\(7\) | 12.7739i | 1.82485i | 0.409247 | + | 0.912424i | \(0.365792\pi\) | ||||
−0.409247 | + | 0.912424i | \(0.634208\pi\) | |||||||
\(8\) | 19.7030 | + | 19.7030i | 2.46287 | + | 2.46287i | ||||
\(9\) | 8.75696i | 0.972995i | ||||||||
\(10\) | − | 26.7821i | − | 2.67821i | ||||||
\(11\) | −8.10908 | + | 8.10908i | −0.737189 | + | 0.737189i | −0.972033 | − | 0.234844i | \(-0.924542\pi\) |
0.234844 | + | 0.972033i | \(0.424542\pi\) | |||||||
\(12\) | 3.88938 | + | 3.88938i | 0.324115 | + | 0.324115i | ||||
\(13\) | 14.5821 | − | 14.5821i | 1.12170 | − | 1.12170i | 0.130210 | − | 0.991486i | \(-0.458435\pi\) |
0.991486 | − | 0.130210i | \(-0.0415653\pi\) | |||||||
\(14\) | −35.1656 | − | 35.1656i | −2.51183 | − | 2.51183i | ||||
\(15\) | − | 3.39140i | − | 0.226093i | ||||||
\(16\) | −63.8530 | −3.99081 | ||||||||
\(17\) | −2.34315 | − | 2.34315i | −0.137832 | − | 0.137832i | 0.634824 | − | 0.772657i | \(-0.281072\pi\) |
−0.772657 | + | 0.634824i | \(0.781072\pi\) | |||||||
\(18\) | −24.1072 | − | 24.1072i | −1.33929 | − | 1.33929i | ||||
\(19\) | − | 13.1965i | − | 0.694551i | −0.937763 | − | 0.347275i | \(-0.887107\pi\) | ||
0.937763 | − | 0.347275i | \(-0.112893\pi\) | |||||||
\(20\) | 54.2717 | + | 54.2717i | 2.71358 | + | 2.71358i | ||||
\(21\) | −4.45300 | − | 4.45300i | −0.212048 | − | 0.212048i | ||||
\(22\) | − | 44.6473i | − | 2.02942i | ||||||
\(23\) | −9.51805 | −0.413828 | −0.206914 | − | 0.978359i | \(-0.566342\pi\) | ||||
−0.206914 | + | 0.978359i | \(0.566342\pi\) | |||||||
\(24\) | −13.7370 | −0.572373 | ||||||||
\(25\) | − | 22.3229i | − | 0.892917i | ||||||
\(26\) | 80.2865i | 3.08794i | ||||||||
\(27\) | −6.19008 | − | 6.19008i | −0.229262 | − | 0.229262i | ||||
\(28\) | 142.520 | 5.09001 | ||||||||
\(29\) | −6.71745 | −0.231636 | −0.115818 | − | 0.993270i | \(-0.536949\pi\) | ||||
−0.115818 | + | 0.993270i | \(0.536949\pi\) | |||||||
\(30\) | 9.33625 | + | 9.33625i | 0.311208 | + | 0.311208i | ||||
\(31\) | −3.29799 | + | 3.29799i | −0.106387 | + | 0.106387i | −0.758297 | − | 0.651910i | \(-0.773968\pi\) |
0.651910 | + | 0.758297i | \(0.273968\pi\) | |||||||
\(32\) | 96.9702 | − | 96.9702i | 3.03032 | − | 3.03032i | ||||
\(33\) | − | 5.65366i | − | 0.171323i | ||||||
\(34\) | 12.9010 | 0.379441 | ||||||||
\(35\) | −62.1363 | − | 62.1363i | −1.77532 | − | 1.77532i | ||||
\(36\) | 97.7025 | 2.71396 | ||||||||
\(37\) | 3.35893 | 0.0907819 | 0.0453909 | − | 0.998969i | \(-0.485547\pi\) | ||||
0.0453909 | + | 0.998969i | \(0.485547\pi\) | |||||||
\(38\) | 36.3288 | + | 36.3288i | 0.956021 | + | 0.956021i | ||||
\(39\) | 10.1666i | 0.260683i | ||||||||
\(40\) | −191.683 | −4.79207 | ||||||||
\(41\) | 2.04618i | 0.0499069i | 0.999689 | + | 0.0249535i | \(0.00794376\pi\) | ||||
−0.999689 | + | 0.0249535i | \(0.992056\pi\) | |||||||
\(42\) | 24.5175 | 0.583750 | ||||||||
\(43\) | 38.3292i | 0.891376i | 0.895188 | + | 0.445688i | \(0.147041\pi\) | ||||
−0.895188 | + | 0.445688i | \(0.852959\pi\) | |||||||
\(44\) | 90.4741 | + | 90.4741i | 2.05623 | + | 2.05623i | ||||
\(45\) | −42.5965 | − | 42.5965i | −0.946589 | − | 0.946589i | ||||
\(46\) | 26.2024 | − | 26.2024i | 0.569618 | − | 0.569618i | ||||
\(47\) | − | 21.6000i | − | 0.459575i | −0.973241 | − | 0.229787i | \(-0.926197\pi\) | ||
0.973241 | − | 0.229787i | \(-0.0738031\pi\) | |||||||
\(48\) | 22.2592 | − | 22.2592i | 0.463733 | − | 0.463733i | ||||
\(49\) | −114.173 | −2.33007 | ||||||||
\(50\) | 61.4532 | + | 61.4532i | 1.22906 | + | 1.22906i | ||||
\(51\) | 1.63365 | 0.0320323 | ||||||||
\(52\) | −162.694 | − | 162.694i | −3.12873 | − | 3.12873i | ||||
\(53\) | 34.4098 | 0.649241 | 0.324620 | − | 0.945844i | \(-0.394763\pi\) | ||||
0.324620 | + | 0.945844i | \(0.394763\pi\) | |||||||
\(54\) | 34.0816 | 0.631141 | ||||||||
\(55\) | − | 78.8901i | − | 1.43437i | ||||||
\(56\) | −251.685 | + | 251.685i | −4.49437 | + | 4.49437i | ||||
\(57\) | 4.60029 | + | 4.60029i | 0.0807069 | + | 0.0807069i | ||||
\(58\) | 18.4926 | − | 18.4926i | 0.318838 | − | 0.318838i | ||||
\(59\) | 40.7776 | 0.691146 | 0.345573 | − | 0.938392i | \(-0.387685\pi\) | ||||
0.345573 | + | 0.938392i | \(0.387685\pi\) | |||||||
\(60\) | −37.8383 | −0.630638 | ||||||||
\(61\) | 74.2387 | 1.21703 | 0.608514 | − | 0.793543i | \(-0.291766\pi\) | ||||
0.608514 | + | 0.793543i | \(0.291766\pi\) | |||||||
\(62\) | − | 18.1582i | − | 0.292874i | ||||||
\(63\) | −111.861 | −1.77557 | ||||||||
\(64\) | 278.490i | 4.35141i | ||||||||
\(65\) | 141.863i | 2.18251i | ||||||||
\(66\) | 15.5641 | + | 15.5641i | 0.235819 | + | 0.235819i | ||||
\(67\) | −29.7634 | + | 29.7634i | −0.444229 | + | 0.444229i | −0.893431 | − | 0.449201i | \(-0.851709\pi\) |
0.449201 | + | 0.893431i | \(0.351709\pi\) | |||||||
\(68\) | −26.1428 | + | 26.1428i | −0.384453 | + | 0.384453i | ||||
\(69\) | 3.31800 | − | 3.31800i | 0.0480869 | − | 0.0480869i | ||||
\(70\) | 342.112 | 4.88732 | ||||||||
\(71\) | 85.7680 | + | 85.7680i | 1.20800 | + | 1.20800i | 0.971674 | + | 0.236326i | \(0.0759433\pi\) |
0.236326 | + | 0.971674i | \(0.424057\pi\) | |||||||
\(72\) | −172.538 | + | 172.538i | −2.39636 | + | 2.39636i | ||||
\(73\) | 19.3531 | − | 19.3531i | 0.265111 | − | 0.265111i | −0.562015 | − | 0.827127i | \(-0.689974\pi\) |
0.827127 | + | 0.562015i | \(0.189974\pi\) | |||||||
\(74\) | −9.24686 | + | 9.24686i | −0.124958 | + | 0.124958i | ||||
\(75\) | 7.78178 | + | 7.78178i | 0.103757 | + | 0.103757i | ||||
\(76\) | −147.235 | −1.93730 | ||||||||
\(77\) | −103.585 | − | 103.585i | −1.34526 | − | 1.34526i | ||||
\(78\) | −27.9879 | − | 27.9879i | −0.358819 | − | 0.358819i | ||||
\(79\) | −61.9554 | − | 61.9554i | −0.784245 | − | 0.784245i | 0.196299 | − | 0.980544i | \(-0.437108\pi\) |
−0.980544 | + | 0.196299i | \(0.937108\pi\) | |||||||
\(80\) | 310.601 | − | 310.601i | 3.88251 | − | 3.88251i | ||||
\(81\) | −74.4969 | −0.919714 | ||||||||
\(82\) | −5.63298 | − | 5.63298i | −0.0686949 | − | 0.0686949i | ||||
\(83\) | − | 78.7914i | − | 0.949294i | −0.880176 | − | 0.474647i | \(-0.842576\pi\) | ||
0.880176 | − | 0.474647i | \(-0.157424\pi\) | |||||||
\(84\) | −49.6827 | + | 49.6827i | −0.591461 | + | 0.591461i | ||||
\(85\) | 22.7956 | 0.268183 | ||||||||
\(86\) | −105.517 | − | 105.517i | −1.22694 | − | 1.22694i | ||||
\(87\) | 2.34171 | − | 2.34171i | 0.0269162 | − | 0.0269162i | ||||
\(88\) | −319.547 | −3.63121 | ||||||||
\(89\) | 15.5211 | + | 15.5211i | 0.174394 | + | 0.174394i | 0.788907 | − | 0.614513i | \(-0.210647\pi\) |
−0.614513 | + | 0.788907i | \(0.710647\pi\) | |||||||
\(90\) | 234.529 | 2.60588 | ||||||||
\(91\) | 186.270 | + | 186.270i | 2.04693 | + | 2.04693i | ||||
\(92\) | 106.194i | 1.15428i | ||||||||
\(93\) | − | 2.29936i | − | 0.0247243i | ||||||
\(94\) | 59.4631 | + | 59.4631i | 0.632586 | + | 0.632586i | ||||
\(95\) | 64.1916 | + | 64.1916i | 0.675701 | + | 0.675701i | ||||
\(96\) | 67.6077i | 0.704247i | ||||||||
\(97\) | − | 38.3936i | − | 0.395811i | −0.980221 | − | 0.197905i | \(-0.936586\pi\) | ||
0.980221 | − | 0.197905i | \(-0.0634138\pi\) | |||||||
\(98\) | 314.310 | − | 314.310i | 3.20725 | − | 3.20725i | ||||
\(99\) | −71.0109 | − | 71.0109i | −0.717282 | − | 0.717282i | ||||
\(100\) | −249.060 | −2.49060 | ||||||||
\(101\) | −180.718 | −1.78929 | −0.894644 | − | 0.446780i | \(-0.852571\pi\) | ||||
−0.894644 | + | 0.446780i | \(0.852571\pi\) | |||||||
\(102\) | −4.49729 | + | 4.49729i | −0.0440911 | + | 0.0440911i | ||||
\(103\) | −64.9125 | + | 64.9125i | −0.630218 | + | 0.630218i | −0.948123 | − | 0.317905i | \(-0.897021\pi\) |
0.317905 | + | 0.948123i | \(0.397021\pi\) | |||||||
\(104\) | 574.621 | 5.52520 | ||||||||
\(105\) | 43.3215 | 0.412586 | ||||||||
\(106\) | −94.7273 | + | 94.7273i | −0.893654 | + | 0.893654i | ||||
\(107\) | − | 169.430i | − | 1.58346i | −0.610870 | − | 0.791731i | \(-0.709180\pi\) | ||
0.610870 | − | 0.791731i | \(-0.290820\pi\) | |||||||
\(108\) | −69.0636 | + | 69.0636i | −0.639477 | + | 0.639477i | ||||
\(109\) | 75.4895i | 0.692564i | 0.938130 | + | 0.346282i | \(0.112556\pi\) | ||||
−0.938130 | + | 0.346282i | \(0.887444\pi\) | |||||||
\(110\) | 217.178 | + | 217.178i | 1.97435 | + | 1.97435i | ||||
\(111\) | −1.17092 | + | 1.17092i | −0.0105489 | + | 0.0105489i | ||||
\(112\) | − | 815.654i | − | 7.28263i | ||||||
\(113\) | 71.3001 | + | 71.3001i | 0.630974 | + | 0.630974i | 0.948312 | − | 0.317338i | \(-0.102789\pi\) |
−0.317338 | + | 0.948312i | \(0.602789\pi\) | |||||||
\(114\) | −25.3285 | −0.222180 | ||||||||
\(115\) | 46.2987 | − | 46.2987i | 0.402598 | − | 0.402598i | ||||
\(116\) | 74.9474i | 0.646098i | ||||||||
\(117\) | 127.694 | + | 127.694i | 1.09141 | + | 1.09141i | ||||
\(118\) | −112.257 | + | 112.257i | −0.951334 | + | 0.951334i | ||||
\(119\) | 29.9312 | − | 29.9312i | 0.251523 | − | 0.251523i | ||||
\(120\) | 66.8207 | − | 66.8207i | 0.556839 | − | 0.556839i | ||||
\(121\) | − | 10.5145i | − | 0.0868967i | ||||||
\(122\) | −204.373 | + | 204.373i | −1.67519 | + | 1.67519i | ||||
\(123\) | −0.713301 | − | 0.713301i | −0.00579919 | − | 0.00579919i | ||||
\(124\) | 36.7961 | + | 36.7961i | 0.296743 | + | 0.296743i | ||||
\(125\) | −13.0221 | − | 13.0221i | −0.104177 | − | 0.104177i | ||||
\(126\) | 307.944 | − | 307.944i | 2.44400 | − | 2.44400i | ||||
\(127\) | 102.805i | 0.809489i | 0.914430 | + | 0.404745i | \(0.132640\pi\) | ||||
−0.914430 | + | 0.404745i | \(0.867360\pi\) | |||||||
\(128\) | −378.780 | − | 378.780i | −2.95922 | − | 2.95922i | ||||
\(129\) | −13.3616 | − | 13.3616i | −0.103578 | − | 0.103578i | ||||
\(130\) | −390.538 | − | 390.538i | −3.00414 | − | 3.00414i | ||||
\(131\) | −94.8251 | + | 94.8251i | −0.723856 | + | 0.723856i | −0.969388 | − | 0.245532i | \(-0.921037\pi\) |
0.245532 | + | 0.969388i | \(0.421037\pi\) | |||||||
\(132\) | −63.0786 | −0.477868 | ||||||||
\(133\) | 168.571 | 1.26745 | ||||||||
\(134\) | − | 163.872i | − | 1.22293i | ||||||
\(135\) | 60.2209 | 0.446081 | ||||||||
\(136\) | − | 92.3341i | − | 0.678927i | ||||||
\(137\) | 13.6465i | 0.0996091i | 0.998759 | + | 0.0498046i | \(0.0158598\pi\) | ||||
−0.998759 | + | 0.0498046i | \(0.984140\pi\) | |||||||
\(138\) | 18.2684i | 0.132379i | ||||||||
\(139\) | 61.9444 | + | 61.9444i | 0.445643 | + | 0.445643i | 0.893903 | − | 0.448260i | \(-0.147956\pi\) |
−0.448260 | + | 0.893903i | \(0.647956\pi\) | |||||||
\(140\) | −693.263 | + | 693.263i | −4.95188 | + | 4.95188i | ||||
\(141\) | 7.52978 | + | 7.52978i | 0.0534027 | + | 0.0534027i | ||||
\(142\) | −472.225 | −3.32553 | ||||||||
\(143\) | 236.494i | 1.65381i | ||||||||
\(144\) | − | 559.158i | − | 3.88304i | ||||||
\(145\) | 32.6757 | − | 32.6757i | 0.225350 | − | 0.225350i | ||||
\(146\) | 106.555i | 0.729830i | ||||||||
\(147\) | 39.8009 | − | 39.8009i | 0.270754 | − | 0.270754i | ||||
\(148\) | − | 37.4760i | − | 0.253216i | ||||||
\(149\) | −126.863 | − | 126.863i | −0.851430 | − | 0.851430i | 0.138880 | − | 0.990309i | \(-0.455650\pi\) |
−0.990309 | + | 0.138880i | \(0.955650\pi\) | |||||||
\(150\) | −42.8452 | −0.285635 | ||||||||
\(151\) | 115.455 | + | 115.455i | 0.764605 | + | 0.764605i | 0.977151 | − | 0.212546i | \(-0.0681756\pi\) |
−0.212546 | + | 0.977151i | \(0.568176\pi\) | |||||||
\(152\) | 260.010 | − | 260.010i | 1.71059 | − | 1.71059i | ||||
\(153\) | 20.5188 | − | 20.5188i | 0.134110 | − | 0.134110i | ||||
\(154\) | 570.322 | 3.70339 | ||||||||
\(155\) | − | 32.0848i | − | 0.206999i | ||||||
\(156\) | 113.430 | 0.727118 | ||||||||
\(157\) | − | 94.8677i | − | 0.604253i | −0.953268 | − | 0.302126i | \(-0.902304\pi\) | ||
0.953268 | − | 0.302126i | \(-0.0976965\pi\) | |||||||
\(158\) | 341.116 | 2.15896 | ||||||||
\(159\) | −11.9953 | + | 11.9953i | −0.0754419 | + | 0.0754419i | ||||
\(160\) | 943.385i | 5.89616i | ||||||||
\(161\) | − | 121.583i | − | 0.755174i | ||||||
\(162\) | 205.084 | − | 205.084i | 1.26595 | − | 1.26595i | ||||
\(163\) | 296.256i | 1.81752i | 0.417317 | + | 0.908761i | \(0.362970\pi\) | ||||
−0.417317 | + | 0.908761i | \(0.637030\pi\) | |||||||
\(164\) | 22.8295 | 0.139205 | ||||||||
\(165\) | 27.5011 | + | 27.5011i | 0.166674 | + | 0.166674i | ||||
\(166\) | 216.906 | + | 216.906i | 1.30666 | + | 1.30666i | ||||
\(167\) | −77.6643 | + | 77.6643i | −0.465056 | + | 0.465056i | −0.900308 | − | 0.435253i | \(-0.856659\pi\) |
0.435253 | + | 0.900308i | \(0.356659\pi\) | |||||||
\(168\) | − | 175.475i | − | 1.04449i | ||||||
\(169\) | − | 256.273i | − | 1.51641i | ||||||
\(170\) | −62.7544 | + | 62.7544i | −0.369143 | + | 0.369143i | ||||
\(171\) | 115.561 | 0.675794 | ||||||||
\(172\) | 427.643 | 2.48630 | ||||||||
\(173\) | 41.2422i | 0.238394i | 0.992871 | + | 0.119197i | \(0.0380321\pi\) | ||||
−0.992871 | + | 0.119197i | \(0.961968\pi\) | |||||||
\(174\) | 12.8931i | 0.0740980i | ||||||||
\(175\) | 285.152 | 1.62944 | ||||||||
\(176\) | 517.789 | − | 517.789i | 2.94199 | − | 2.94199i | ||||
\(177\) | −14.2151 | + | 14.2151i | −0.0803113 | + | 0.0803113i | ||||
\(178\) | −85.4567 | −0.480094 | ||||||||
\(179\) | −201.036 | + | 201.036i | −1.12311 | + | 1.12311i | −0.131838 | + | 0.991271i | \(0.542088\pi\) |
−0.991271 | + | 0.131838i | \(0.957912\pi\) | |||||||
\(180\) | −475.255 | + | 475.255i | −2.64030 | + | 2.64030i | ||||
\(181\) | − | 268.261i | − | 1.48210i | −0.671448 | − | 0.741051i | \(-0.734327\pi\) | ||
0.671448 | − | 0.741051i | \(-0.265673\pi\) | |||||||
\(182\) | −1025.57 | −5.63502 | ||||||||
\(183\) | −25.8796 | + | 25.8796i | −0.141419 | + | 0.141419i | ||||
\(184\) | −187.534 | − | 187.534i | −1.01921 | − | 1.01921i | ||||
\(185\) | −16.3389 | + | 16.3389i | −0.0883181 | + | 0.0883181i | ||||
\(186\) | 6.32995 | + | 6.32995i | 0.0340320 | + | 0.0340320i | ||||
\(187\) | 38.0016 | 0.203217 | ||||||||
\(188\) | −240.994 | −1.28188 | ||||||||
\(189\) | 79.0717 | − | 79.0717i | 0.418369 | − | 0.418369i | ||||
\(190\) | −353.429 | −1.86015 | ||||||||
\(191\) | −272.235 | −1.42531 | −0.712656 | − | 0.701513i | \(-0.752508\pi\) | ||||
−0.712656 | + | 0.701513i | \(0.752508\pi\) | |||||||
\(192\) | −97.0818 | − | 97.0818i | −0.505634 | − | 0.505634i | ||||
\(193\) | −219.804 | −1.13888 | −0.569441 | − | 0.822032i | \(-0.692840\pi\) | ||||
−0.569441 | + | 0.822032i | \(0.692840\pi\) | |||||||
\(194\) | 105.695 | + | 105.695i | 0.544817 | + | 0.544817i | ||||
\(195\) | −49.4536 | − | 49.4536i | −0.253608 | − | 0.253608i | ||||
\(196\) | 1273.85i | 6.49922i | ||||||||
\(197\) | 132.361 | − | 145.909i | 0.671883 | − | 0.740657i | ||||
\(198\) | 390.974 | 1.97462 | ||||||||
\(199\) | −212.090 | + | 212.090i | −1.06578 | + | 1.06578i | −0.0681023 | + | 0.997678i | \(0.521694\pi\) |
−0.997678 | + | 0.0681023i | \(0.978306\pi\) | |||||||
\(200\) | 439.829 | − | 439.829i | 2.19914 | − | 2.19914i | ||||
\(201\) | − | 20.7510i | − | 0.103239i | ||||||
\(202\) | 497.502 | − | 497.502i | 2.46288 | − | 2.46288i | ||||
\(203\) | − | 85.8082i | − | 0.422701i | ||||||
\(204\) | − | 18.2268i | − | 0.0893470i | ||||||
\(205\) | −9.95326 | − | 9.95326i | −0.0485525 | − | 0.0485525i | ||||
\(206\) | − | 357.398i | − | 1.73494i | ||||||
\(207\) | − | 83.3492i | − | 0.402653i | ||||||
\(208\) | −931.108 | + | 931.108i | −4.47648 | + | 4.47648i | ||||
\(209\) | 107.011 | + | 107.011i | 0.512015 | + | 0.512015i | ||||
\(210\) | −119.261 | + | 119.261i | −0.567907 | + | 0.567907i | ||||
\(211\) | 122.733 | + | 122.733i | 0.581671 | + | 0.581671i | 0.935362 | − | 0.353691i | \(-0.115074\pi\) |
−0.353691 | + | 0.935362i | \(0.615074\pi\) | |||||||
\(212\) | − | 383.914i | − | 1.81092i | ||||||
\(213\) | −59.7975 | −0.280740 | ||||||||
\(214\) | 466.428 | + | 466.428i | 2.17957 | + | 2.17957i | ||||
\(215\) | −186.445 | − | 186.445i | −0.867185 | − | 0.867185i | ||||
\(216\) | − | 243.926i | − | 1.12929i | ||||||
\(217\) | −42.1283 | − | 42.1283i | −0.194140 | − | 0.194140i | ||||
\(218\) | −207.817 | − | 207.817i | −0.953287 | − | 0.953287i | ||||
\(219\) | 13.4930i | 0.0616119i | ||||||||
\(220\) | −880.187 | −4.00085 | ||||||||
\(221\) | −68.3358 | −0.309212 | ||||||||
\(222\) | − | 6.44692i | − | 0.0290402i | ||||||
\(223\) | − | 365.088i | − | 1.63716i | −0.574390 | − | 0.818582i | \(-0.694761\pi\) | ||
0.574390 | − | 0.818582i | \(-0.305239\pi\) | |||||||
\(224\) | 1238.69 | + | 1238.69i | 5.52987 | + | 5.52987i | ||||
\(225\) | 195.481 | 0.868804 | ||||||||
\(226\) | −392.567 | −1.73702 | ||||||||
\(227\) | 173.151 | + | 173.151i | 0.762781 | + | 0.762781i | 0.976824 | − | 0.214044i | \(-0.0686635\pi\) |
−0.214044 | + | 0.976824i | \(0.568663\pi\) | |||||||
\(228\) | 51.3261 | − | 51.3261i | 0.225114 | − | 0.225114i | ||||
\(229\) | 24.2459 | − | 24.2459i | 0.105877 | − | 0.105877i | −0.652184 | − | 0.758061i | \(-0.726147\pi\) |
0.758061 | + | 0.652184i | \(0.226147\pi\) | |||||||
\(230\) | 254.913i | 1.10832i | ||||||||
\(231\) | 72.2195 | 0.312639 | ||||||||
\(232\) | −132.354 | − | 132.354i | −0.570491 | − | 0.570491i | ||||
\(233\) | 13.3801 | 0.0574253 | 0.0287126 | − | 0.999588i | \(-0.490859\pi\) | ||||
0.0287126 | + | 0.999588i | \(0.490859\pi\) | |||||||
\(234\) | −703.065 | −3.00455 | ||||||||
\(235\) | 105.069 | + | 105.069i | 0.447102 | + | 0.447102i | ||||
\(236\) | − | 454.961i | − | 1.92780i | ||||||
\(237\) | 43.1953 | 0.182259 | ||||||||
\(238\) | 164.796i | 0.692422i | ||||||||
\(239\) | −300.679 | −1.25807 | −0.629036 | − | 0.777376i | \(-0.716550\pi\) | ||||
−0.629036 | + | 0.777376i | \(0.716550\pi\) | |||||||
\(240\) | 216.551i | 0.902296i | ||||||||
\(241\) | 12.1894 | + | 12.1894i | 0.0505784 | + | 0.0505784i | 0.731944 | − | 0.681365i | \(-0.238613\pi\) |
−0.681365 | + | 0.731944i | \(0.738613\pi\) | |||||||
\(242\) | 28.9456 | + | 28.9456i | 0.119610 | + | 0.119610i | ||||
\(243\) | 81.6804 | − | 81.6804i | 0.336133 | − | 0.336133i | ||||
\(244\) | − | 828.291i | − | 3.39463i | ||||||
\(245\) | 555.374 | − | 555.374i | 2.26683 | − | 2.26683i | ||||
\(246\) | 3.92732 | 0.0159647 | ||||||||
\(247\) | −192.432 | − | 192.432i | −0.779075 | − | 0.779075i | ||||
\(248\) | −129.961 | −0.524034 | ||||||||
\(249\) | 27.4667 | + | 27.4667i | 0.110308 | + | 0.110308i | ||||
\(250\) | 71.6976 | 0.286791 | ||||||||
\(251\) | 80.9798 | 0.322629 | 0.161314 | − | 0.986903i | \(-0.448427\pi\) | ||||
0.161314 | + | 0.986903i | \(0.448427\pi\) | |||||||
\(252\) | 1248.04i | 4.95256i | ||||||||
\(253\) | 77.1827 | − | 77.1827i | 0.305070 | − | 0.305070i | ||||
\(254\) | −283.014 | − | 283.014i | −1.11423 | − | 1.11423i | ||||
\(255\) | −7.94655 | + | 7.94655i | −0.0311629 | + | 0.0311629i | ||||
\(256\) | 971.542 | 3.79509 | ||||||||
\(257\) | 191.905 | 0.746712 | 0.373356 | − | 0.927688i | \(-0.378207\pi\) | ||||
0.373356 | + | 0.927688i | \(0.378207\pi\) | |||||||
\(258\) | 73.5666 | 0.285142 | ||||||||
\(259\) | 42.9067i | 0.165663i | ||||||||
\(260\) | 1582.79 | 6.08764 | ||||||||
\(261\) | − | 58.8244i | − | 0.225381i | ||||||
\(262\) | − | 522.092i | − | 1.99272i | ||||||
\(263\) | 4.98614 | + | 4.98614i | 0.0189587 | + | 0.0189587i | 0.716523 | − | 0.697564i | \(-0.245733\pi\) |
−0.697564 | + | 0.716523i | \(0.745733\pi\) | |||||||
\(264\) | 111.394 | − | 111.394i | 0.421947 | − | 0.421947i | ||||
\(265\) | −167.380 | + | 167.380i | −0.631621 | + | 0.631621i | ||||
\(266\) | −464.062 | + | 464.062i | −1.74459 | + | 1.74459i | ||||
\(267\) | −10.8213 | −0.0405293 | ||||||||
\(268\) | 332.074 | + | 332.074i | 1.23908 | + | 1.23908i | ||||
\(269\) | −136.358 | + | 136.358i | −0.506906 | + | 0.506906i | −0.913575 | − | 0.406669i | \(-0.866690\pi\) |
0.406669 | + | 0.913575i | \(0.366690\pi\) | |||||||
\(270\) | −165.783 | + | 165.783i | −0.614012 | + | 0.614012i | ||||
\(271\) | −150.728 | + | 150.728i | −0.556192 | + | 0.556192i | −0.928221 | − | 0.372029i | \(-0.878662\pi\) |
0.372029 | + | 0.928221i | \(0.378662\pi\) | |||||||
\(272\) | 149.617 | + | 149.617i | 0.550063 | + | 0.550063i | ||||
\(273\) | −129.868 | −0.475706 | ||||||||
\(274\) | −37.5676 | − | 37.5676i | −0.137108 | − | 0.137108i | ||||
\(275\) | 181.018 | + | 181.018i | 0.658249 | + | 0.658249i | ||||
\(276\) | −37.0193 | − | 37.0193i | −0.134128 | − | 0.134128i | ||||
\(277\) | 186.722 | − | 186.722i | 0.674086 | − | 0.674086i | −0.284570 | − | 0.958655i | \(-0.591851\pi\) |
0.958655 | + | 0.284570i | \(0.0918507\pi\) | |||||||
\(278\) | −341.056 | −1.22682 | ||||||||
\(279\) | −28.8803 | − | 28.8803i | −0.103514 | − | 0.103514i | ||||
\(280\) | − | 2448.54i | − | 8.74480i | ||||||
\(281\) | −85.8791 | + | 85.8791i | −0.305620 | + | 0.305620i | −0.843208 | − | 0.537588i | \(-0.819336\pi\) |
0.537588 | + | 0.843208i | \(0.319336\pi\) | |||||||
\(282\) | −41.4577 | −0.147013 | ||||||||
\(283\) | 380.810 | + | 380.810i | 1.34562 | + | 1.34562i | 0.890359 | + | 0.455260i | \(0.150454\pi\) |
0.455260 | + | 0.890359i | \(0.349546\pi\) | |||||||
\(284\) | 956.924 | − | 956.924i | 3.36945 | − | 3.36945i | ||||
\(285\) | −44.7545 | −0.157033 | ||||||||
\(286\) | −651.050 | − | 651.050i | −2.27640 | − | 2.27640i | ||||
\(287\) | −26.1378 | −0.0910725 | ||||||||
\(288\) | 849.164 | + | 849.164i | 2.94848 | + | 2.94848i | ||||
\(289\) | − | 278.019i | − | 0.962005i | ||||||
\(290\) | 179.907i | 0.620370i | ||||||||
\(291\) | 13.3840 | + | 13.3840i | 0.0459932 | + | 0.0459932i | ||||
\(292\) | −215.925 | − | 215.925i | −0.739470 | − | 0.739470i | ||||
\(293\) | − | 15.3937i | − | 0.0525381i | −0.999655 | − | 0.0262690i | \(-0.991637\pi\) | ||
0.999655 | − | 0.0262690i | \(-0.00836266\pi\) | |||||||
\(294\) | 219.137i | 0.745365i | ||||||||
\(295\) | −198.355 | + | 198.355i | −0.672389 | + | 0.672389i | ||||
\(296\) | 66.1810 | + | 66.1810i | 0.223584 | + | 0.223584i | ||||
\(297\) | 100.392 | 0.338020 | ||||||||
\(298\) | 698.487 | 2.34392 | ||||||||
\(299\) | −138.793 | + | 138.793i | −0.464190 | + | 0.464190i | ||||
\(300\) | 86.8224 | − | 86.8224i | 0.289408 | − | 0.289408i | ||||
\(301\) | −489.614 | −1.62662 | ||||||||
\(302\) | −635.678 | −2.10490 | ||||||||
\(303\) | 62.9984 | − | 62.9984i | 0.207915 | − | 0.207915i | ||||
\(304\) | 842.634i | 2.77182i | ||||||||
\(305\) | −361.120 | + | 361.120i | −1.18400 | + | 1.18400i | ||||
\(306\) | 112.973i | 0.369194i | ||||||||
\(307\) | 334.742 | + | 334.742i | 1.09037 | + | 1.09037i | 0.995489 | + | 0.0948771i | \(0.0302458\pi\) |
0.0948771 | + | 0.995489i | \(0.469754\pi\) | |||||||
\(308\) | −1155.71 | + | 1155.71i | −3.75231 | + | 3.75231i | ||||
\(309\) | − | 45.2570i | − | 0.146463i | ||||||
\(310\) | 88.3270 | + | 88.3270i | 0.284926 | + | 0.284926i | ||||
\(311\) | −136.771 | −0.439778 | −0.219889 | − | 0.975525i | \(-0.570570\pi\) | ||||
−0.219889 | + | 0.975525i | \(0.570570\pi\) | |||||||
\(312\) | −200.313 | + | 200.313i | −0.642029 | + | 0.642029i | ||||
\(313\) | − | 489.795i | − | 1.56484i | −0.622751 | − | 0.782420i | \(-0.713985\pi\) | ||
0.622751 | − | 0.782420i | \(-0.286015\pi\) | |||||||
\(314\) | 261.163 | + | 261.163i | 0.831730 | + | 0.831730i | ||||
\(315\) | 544.125 | − | 544.125i | 1.72738 | − | 1.72738i | ||||
\(316\) | −691.244 | + | 691.244i | −2.18748 | + | 2.18748i | ||||
\(317\) | 18.2212 | − | 18.2212i | 0.0574802 | − | 0.0574802i | −0.677782 | − | 0.735263i | \(-0.737059\pi\) |
0.735263 | + | 0.677782i | \(0.237059\pi\) | |||||||
\(318\) | − | 66.0440i | − | 0.207685i | ||||||
\(319\) | 54.4723 | − | 54.4723i | 0.170760 | − | 0.170760i | ||||
\(320\) | −1354.66 | − | 1354.66i | −4.23332 | − | 4.23332i | ||||
\(321\) | 59.0636 | + | 59.0636i | 0.183999 | + | 0.183999i | ||||
\(322\) | 334.708 | + | 334.708i | 1.03947 | + | 1.03947i | ||||
\(323\) | −30.9213 | + | 30.9213i | −0.0957315 | + | 0.0957315i | ||||
\(324\) | 831.171i | 2.56534i | ||||||||
\(325\) | −325.514 | − | 325.514i | −1.00158 | − | 1.00158i | ||||
\(326\) | −815.569 | − | 815.569i | −2.50175 | − | 2.50175i | ||||
\(327\) | −26.3157 | − | 26.3157i | −0.0804761 | − | 0.0804761i | ||||
\(328\) | −40.3160 | + | 40.3160i | −0.122915 | + | 0.122915i | ||||
\(329\) | 275.917 | 0.838654 | ||||||||
\(330\) | −151.417 | −0.458839 | ||||||||
\(331\) | − | 111.798i | − | 0.337759i | −0.985637 | − | 0.168880i | \(-0.945985\pi\) | ||
0.985637 | − | 0.168880i | \(-0.0540149\pi\) | |||||||
\(332\) | −879.086 | −2.64785 | ||||||||
\(333\) | 29.4140i | 0.0883303i | ||||||||
\(334\) | − | 427.607i | − | 1.28026i | ||||||
\(335\) | − | 289.556i | − | 0.864346i | ||||||
\(336\) | 284.337 | + | 284.337i | 0.846242 | + | 0.846242i | ||||
\(337\) | −403.163 | + | 403.163i | −1.19633 | + | 1.19633i | −0.221073 | + | 0.975257i | \(0.570956\pi\) |
−0.975257 | + | 0.221073i | \(0.929044\pi\) | |||||||
\(338\) | 705.499 | + | 705.499i | 2.08727 | + | 2.08727i | ||||
\(339\) | −49.7105 | −0.146639 | ||||||||
\(340\) | − | 254.333i | − | 0.748039i | ||||||
\(341\) | − | 53.4873i | − | 0.156854i | ||||||
\(342\) | −318.130 | + | 318.130i | −0.930203 | + | 0.930203i | ||||
\(343\) | − | 832.520i | − | 2.42717i | ||||||
\(344\) | −755.199 | + | 755.199i | −2.19535 | + | 2.19535i | ||||
\(345\) | 32.2795i | 0.0935638i | ||||||||
\(346\) | −113.537 | − | 113.537i | −0.328140 | − | 0.328140i | ||||
\(347\) | −25.5663 | −0.0736781 | −0.0368390 | − | 0.999321i | \(-0.511729\pi\) | ||||
−0.0368390 | + | 0.999321i | \(0.511729\pi\) | |||||||
\(348\) | −26.1267 | − | 26.1267i | −0.0750767 | − | 0.0750767i | ||||
\(349\) | 24.3550 | − | 24.3550i | 0.0697850 | − | 0.0697850i | −0.671353 | − | 0.741138i | \(-0.734286\pi\) |
0.741138 | + | 0.671353i | \(0.234286\pi\) | |||||||
\(350\) | −784.999 | + | 784.999i | −2.24285 | + | 2.24285i | ||||
\(351\) | −180.528 | −0.514326 | ||||||||
\(352\) | 1572.68i | 4.46784i | ||||||||
\(353\) | 264.398 | 0.749003 | 0.374501 | − | 0.927226i | \(-0.377814\pi\) | ||||
0.374501 | + | 0.927226i | \(0.377814\pi\) | |||||||
\(354\) | − | 78.2660i | − | 0.221090i | ||||||
\(355\) | −834.403 | −2.35043 | ||||||||
\(356\) | 173.171 | − | 173.171i | 0.486435 | − | 0.486435i | ||||
\(357\) | 20.8681i | 0.0584540i | ||||||||
\(358\) | − | 1106.87i | − | 3.09183i | ||||||
\(359\) | −43.8889 | + | 43.8889i | −0.122253 | + | 0.122253i | −0.765586 | − | 0.643333i | \(-0.777551\pi\) |
0.643333 | + | 0.765586i | \(0.277551\pi\) | |||||||
\(360\) | − | 1678.56i | − | 4.66266i | ||||||
\(361\) | 186.853 | 0.517600 | ||||||||
\(362\) | 738.500 | + | 738.500i | 2.04005 | + | 2.04005i | ||||
\(363\) | 3.66536 | + | 3.66536i | 0.0100974 | + | 0.0100974i | ||||
\(364\) | 2078.24 | − | 2078.24i | 5.70945 | − | 5.70945i | ||||
\(365\) | 188.279i | 0.515833i | ||||||||
\(366\) | − | 142.489i | − | 0.389315i | ||||||
\(367\) | −183.908 | + | 183.908i | −0.501111 | + | 0.501111i | −0.911783 | − | 0.410672i | \(-0.865294\pi\) |
0.410672 | + | 0.911783i | \(0.365294\pi\) | |||||||
\(368\) | 607.756 | 1.65151 | ||||||||
\(369\) | −17.9183 | −0.0485592 | ||||||||
\(370\) | − | 89.9591i | − | 0.243133i | ||||||
\(371\) | 439.548i | 1.18477i | ||||||||
\(372\) | −25.6543 | −0.0689631 | ||||||||
\(373\) | 61.4692 | − | 61.4692i | 0.164797 | − | 0.164797i | −0.619891 | − | 0.784688i | \(-0.712823\pi\) |
0.784688 | + | 0.619891i | \(0.212823\pi\) | |||||||
\(374\) | −104.615 | + | 104.615i | −0.279720 | + | 0.279720i | ||||
\(375\) | 9.07903 | 0.0242107 | ||||||||
\(376\) | 425.585 | − | 425.585i | 1.13188 | − | 1.13188i | ||||
\(377\) | −97.9542 | + | 97.9542i | −0.259825 | + | 0.259825i | ||||
\(378\) | 435.356i | 1.15174i | ||||||||
\(379\) | 458.816 | 1.21059 | 0.605297 | − | 0.795999i | \(-0.293054\pi\) | ||||
0.605297 | + | 0.795999i | \(0.293054\pi\) | |||||||
\(380\) | 716.194 | − | 716.194i | 1.88472 | − | 1.88472i | ||||
\(381\) | −35.8379 | − | 35.8379i | −0.0940628 | − | 0.0940628i | ||||
\(382\) | 749.440 | − | 749.440i | 1.96189 | − | 1.96189i | ||||
\(383\) | −201.542 | − | 201.542i | −0.526220 | − | 0.526220i | 0.393223 | − | 0.919443i | \(-0.371360\pi\) |
−0.919443 | + | 0.393223i | \(0.871360\pi\) | |||||||
\(384\) | 264.086 | 0.687724 | ||||||||
\(385\) | 1007.74 | 2.61750 | ||||||||
\(386\) | 605.104 | − | 605.104i | 1.56763 | − | 1.56763i | ||||
\(387\) | −335.647 | −0.867304 | ||||||||
\(388\) | −428.363 | −1.10403 | ||||||||
\(389\) | 459.084 | + | 459.084i | 1.18017 | + | 1.18017i | 0.979701 | + | 0.200464i | \(0.0642451\pi\) |
0.200464 | + | 0.979701i | \(0.435755\pi\) | |||||||
\(390\) | 272.283 | 0.698162 | ||||||||
\(391\) | 22.3022 | + | 22.3022i | 0.0570389 | + | 0.0570389i | ||||
\(392\) | −2249.56 | − | 2249.56i | −5.73867 | − | 5.73867i | ||||
\(393\) | − | 66.1122i | − | 0.168224i | ||||||
\(394\) | 37.2978 | + | 766.056i | 0.0946645 | + | 1.94430i | ||||
\(395\) | 602.739 | 1.52592 | ||||||||
\(396\) | −792.278 | + | 792.278i | −2.00070 | + | 2.00070i | ||||
\(397\) | −409.777 | + | 409.777i | −1.03218 | + | 1.03218i | −0.0327196 | + | 0.999465i | \(0.510417\pi\) |
−0.999465 | + | 0.0327196i | \(0.989583\pi\) | |||||||
\(398\) | − | 1167.74i | − | 2.93401i | ||||||
\(399\) | −58.7638 | + | 58.7638i | −0.147278 | + | 0.147278i | ||||
\(400\) | 1425.39i | 3.56346i | ||||||||
\(401\) | − | 451.222i | − | 1.12524i | −0.826715 | − | 0.562621i | \(-0.809793\pi\) | ||
0.826715 | − | 0.562621i | \(-0.190207\pi\) | |||||||
\(402\) | 57.1259 | + | 57.1259i | 0.142104 | + | 0.142104i | ||||
\(403\) | 96.1829i | 0.238667i | ||||||||
\(404\) | 2016.29i | 4.99083i | ||||||||
\(405\) | 362.375 | − | 362.375i | 0.894754 | − | 0.894754i | ||||
\(406\) | 236.223 | + | 236.223i | 0.581830 | + | 0.581830i | ||||
\(407\) | −27.2378 | + | 27.2378i | −0.0669234 | + | 0.0669234i | ||||
\(408\) | 32.1877 | + | 32.1877i | 0.0788914 | + | 0.0788914i | ||||
\(409\) | 560.947i | 1.37151i | 0.727833 | + | 0.685755i | \(0.240528\pi\) | ||||
−0.727833 | + | 0.685755i | \(0.759472\pi\) | |||||||
\(410\) | 54.8011 | 0.133661 | ||||||||
\(411\) | −4.75716 | − | 4.75716i | −0.0115746 | − | 0.0115746i | ||||
\(412\) | 724.237 | + | 724.237i | 1.75786 | + | 1.75786i | ||||
\(413\) | 520.890i | 1.26124i | ||||||||
\(414\) | 229.454 | + | 229.454i | 0.554236 | + | 0.554236i | ||||
\(415\) | 383.265 | + | 383.265i | 0.923531 | + | 0.923531i | ||||
\(416\) | − | 2828.05i | − | 6.79820i | ||||||
\(417\) | −43.1877 | −0.103568 | ||||||||
\(418\) | −589.186 | −1.40954 | ||||||||
\(419\) | 407.368i | 0.972238i | 0.873893 | + | 0.486119i | \(0.161588\pi\) | ||||
−0.873893 | + | 0.486119i | \(0.838412\pi\) | |||||||
\(420\) | − | 483.343i | − | 1.15082i | ||||||
\(421\) | −234.508 | − | 234.508i | −0.557026 | − | 0.557026i | 0.371434 | − | 0.928460i | \(-0.378866\pi\) |
−0.928460 | + | 0.371434i | \(0.878866\pi\) | |||||||
\(422\) | −675.746 | −1.60129 | ||||||||
\(423\) | 189.150 | 0.447164 | ||||||||
\(424\) | 677.975 | + | 677.975i | 1.59900 | + | 1.59900i | ||||
\(425\) | −52.3059 | + | 52.3059i | −0.123073 | + | 0.123073i | ||||
\(426\) | 164.618 | − | 164.618i | 0.386427 | − | 0.386427i | ||||
\(427\) | 948.320i | 2.22089i | ||||||||
\(428\) | −1890.36 | −4.41672 | ||||||||
\(429\) | −82.4420 | − | 82.4420i | −0.192173 | − | 0.192173i | ||||
\(430\) | 1026.53 | 2.38729 | ||||||||
\(431\) | 402.633 | 0.934183 | 0.467091 | − | 0.884209i | \(-0.345302\pi\) | ||||
0.467091 | + | 0.884209i | \(0.345302\pi\) | |||||||
\(432\) | 395.255 | + | 395.255i | 0.914943 | + | 0.914943i | ||||
\(433\) | − | 136.747i | − | 0.315814i | −0.987454 | − | 0.157907i | \(-0.949525\pi\) | ||
0.987454 | − | 0.157907i | \(-0.0504746\pi\) | |||||||
\(434\) | 231.952 | 0.534450 | ||||||||
\(435\) | 22.7815i | 0.0523713i | ||||||||
\(436\) | 842.246 | 1.93176 | ||||||||
\(437\) | 125.605i | 0.287425i | ||||||||
\(438\) | −37.1452 | − | 37.1452i | −0.0848064 | − | 0.0848064i | ||||
\(439\) | −78.3867 | − | 78.3867i | −0.178557 | − | 0.178557i | 0.612169 | − | 0.790727i | \(-0.290297\pi\) |
−0.790727 | + | 0.612169i | \(0.790297\pi\) | |||||||
\(440\) | 1554.37 | − | 1554.37i | 3.53266 | − | 3.53266i | ||||
\(441\) | − | 999.811i | − | 2.26715i | ||||||
\(442\) | 188.123 | − | 188.123i | 0.425618 | − | 0.425618i | ||||
\(443\) | 152.649 | 0.344580 | 0.172290 | − | 0.985046i | \(-0.444883\pi\) | ||||
0.172290 | + | 0.985046i | \(0.444883\pi\) | |||||||
\(444\) | 13.0642 | + | 13.0642i | 0.0294238 | + | 0.0294238i | ||||
\(445\) | −150.999 | −0.339323 | ||||||||
\(446\) | 1005.06 | + | 1005.06i | 2.25349 | + | 2.25349i | ||||
\(447\) | 88.4490 | 0.197873 | ||||||||
\(448\) | −3557.41 | −7.94066 | ||||||||
\(449\) | − | 320.599i | − | 0.714029i | −0.934099 | − | 0.357014i | \(-0.883795\pi\) | ||
0.934099 | − | 0.357014i | \(-0.116205\pi\) | |||||||
\(450\) | −538.143 | + | 538.143i | −1.19587 | + | 1.19587i | ||||
\(451\) | −16.5927 | − | 16.5927i | −0.0367909 | − | 0.0367909i | ||||
\(452\) | 795.504 | − | 795.504i | 1.75997 | − | 1.75997i | ||||
\(453\) | −80.4956 | −0.177694 | ||||||||
\(454\) | −953.342 | −2.09987 | ||||||||
\(455\) | −1812.15 | −3.98275 | ||||||||
\(456\) | 181.279i | 0.397542i | ||||||||
\(457\) | 576.633 | 1.26178 | 0.630890 | − | 0.775873i | \(-0.282690\pi\) | ||||
0.630890 | + | 0.775873i | \(0.282690\pi\) | |||||||
\(458\) | 133.494i | 0.291472i | ||||||||
\(459\) | 29.0086i | 0.0631995i | ||||||||
\(460\) | −516.561 | − | 516.561i | −1.12296 | − | 1.12296i | ||||
\(461\) | −578.481 | + | 578.481i | −1.25484 | + | 1.25484i | −0.301314 | + | 0.953525i | \(0.597425\pi\) |
−0.953525 | + | 0.301314i | \(0.902575\pi\) | |||||||
\(462\) | −198.814 | + | 198.814i | −0.430334 | + | 0.430334i | ||||
\(463\) | −50.3654 | + | 50.3654i | −0.108781 | + | 0.108781i | −0.759402 | − | 0.650622i | \(-0.774508\pi\) |
0.650622 | + | 0.759402i | \(0.274508\pi\) | |||||||
\(464\) | 428.929 | 0.924416 | ||||||||
\(465\) | 11.1848 | + | 11.1848i | 0.0240533 | + | 0.0240533i | ||||
\(466\) | −36.8343 | + | 36.8343i | −0.0790436 | + | 0.0790436i | ||||
\(467\) | 489.961 | − | 489.961i | 1.04917 | − | 1.04917i | 0.0504390 | − | 0.998727i | \(-0.483938\pi\) |
0.998727 | − | 0.0504390i | \(-0.0160621\pi\) | |||||||
\(468\) | 1424.70 | − | 1424.70i | 3.04424 | − | 3.04424i | ||||
\(469\) | −380.195 | − | 380.195i | −0.810650 | − | 0.810650i | ||||
\(470\) | −578.493 | −1.23084 | ||||||||
\(471\) | 33.0709 | + | 33.0709i | 0.0702143 | + | 0.0702143i | ||||
\(472\) | 803.441 | + | 803.441i | 1.70221 | + | 1.70221i | ||||
\(473\) | −310.814 | − | 310.814i | −0.657113 | − | 0.657113i | ||||
\(474\) | −118.913 | + | 118.913i | −0.250872 | + | 0.250872i | ||||
\(475\) | −294.584 | −0.620176 | ||||||||
\(476\) | −333.946 | − | 333.946i | −0.701568 | − | 0.701568i | ||||
\(477\) | 301.325i | 0.631708i | ||||||||
\(478\) | 827.746 | − | 827.746i | 1.73169 | − | 1.73169i | ||||
\(479\) | 142.337 | 0.297155 | 0.148578 | − | 0.988901i | \(-0.452531\pi\) | ||||
0.148578 | + | 0.988901i | \(0.452531\pi\) | |||||||
\(480\) | −328.865 | − | 328.865i | −0.685134 | − | 0.685134i | ||||
\(481\) | 48.9801 | − | 48.9801i | 0.101830 | − | 0.101830i | ||||
\(482\) | −67.1128 | −0.139238 | ||||||||
\(483\) | 42.3839 | + | 42.3839i | 0.0877513 | + | 0.0877513i | ||||
\(484\) | −117.312 | −0.242379 | ||||||||
\(485\) | 186.758 | + | 186.758i | 0.385069 | + | 0.385069i | ||||
\(486\) | 449.719i | 0.925348i | ||||||||
\(487\) | 126.649i | 0.260059i | 0.991510 | + | 0.130029i | \(0.0415071\pi\) | ||||
−0.991510 | + | 0.130029i | \(0.958493\pi\) | |||||||
\(488\) | 1462.73 | + | 1462.73i | 2.99739 | + | 2.99739i | ||||
\(489\) | −103.275 | − | 103.275i | −0.211196 | − | 0.211196i | ||||
\(490\) | 3057.80i | 6.24041i | ||||||||
\(491\) | 477.700i | 0.972911i | 0.873705 | + | 0.486456i | \(0.161711\pi\) | ||||
−0.873705 | + | 0.486456i | \(0.838289\pi\) | |||||||
\(492\) | −7.95839 | + | 7.95839i | −0.0161756 | + | 0.0161756i | ||||
\(493\) | 15.7400 | + | 15.7400i | 0.0319269 | + | 0.0319269i | ||||
\(494\) | 1059.50 | 2.14473 | ||||||||
\(495\) | 690.837 | 1.39563 | ||||||||
\(496\) | 210.586 | − | 210.586i | 0.424570 | − | 0.424570i | ||||
\(497\) | −1095.59 | + | 1095.59i | −2.20442 | + | 2.20442i | ||||
\(498\) | −151.227 | −0.303669 | ||||||||
\(499\) | −368.876 | −0.739230 | −0.369615 | − | 0.929185i | \(-0.620511\pi\) | ||||
−0.369615 | + | 0.929185i | \(0.620511\pi\) | |||||||
\(500\) | −145.289 | + | 145.289i | −0.290579 | + | 0.290579i | ||||
\(501\) | − | 54.1476i | − | 0.108079i | ||||||
\(502\) | −222.931 | + | 222.931i | −0.444086 | + | 0.444086i | ||||
\(503\) | − | 557.241i | − | 1.10784i | −0.832571 | − | 0.553918i | \(-0.813132\pi\) | ||
0.832571 | − | 0.553918i | \(-0.186868\pi\) | |||||||
\(504\) | −2203.99 | − | 2203.99i | −4.37300 | − | 4.37300i | ||||
\(505\) | 879.068 | − | 879.068i | 1.74073 | − | 1.74073i | ||||
\(506\) | 424.955i | 0.839833i | ||||||||
\(507\) | 89.3369 | + | 89.3369i | 0.176207 | + | 0.176207i | ||||
\(508\) | 1147.01 | 2.25789 | ||||||||
\(509\) | −238.504 | + | 238.504i | −0.468574 | + | 0.468574i | −0.901452 | − | 0.432878i | \(-0.857498\pi\) |
0.432878 | + | 0.901452i | \(0.357498\pi\) | |||||||
\(510\) | − | 43.7524i | − | 0.0857890i | ||||||
\(511\) | 247.215 | + | 247.215i | 0.483788 | + | 0.483788i | ||||
\(512\) | −1159.46 | + | 1159.46i | −2.26456 | + | 2.26456i | ||||
\(513\) | −81.6872 | + | 81.6872i | −0.159234 | + | 0.159234i | ||||
\(514\) | −528.299 | + | 528.299i | −1.02782 | + | 1.02782i | ||||
\(515\) | − | 631.508i | − | 1.22623i | ||||||
\(516\) | −149.077 | + | 149.077i | −0.288908 | + | 0.288908i | ||||
\(517\) | 175.156 | + | 175.156i | 0.338794 | + | 0.338794i | ||||
\(518\) | −118.119 | − | 118.119i | −0.228029 | − | 0.228029i | ||||
\(519\) | −14.3771 | − | 14.3771i | −0.0277015 | − | 0.0277015i | ||||
\(520\) | −2795.13 | + | 2795.13i | −5.37525 | + | 5.37525i | ||||
\(521\) | 19.9161i | 0.0382268i | 0.999817 | + | 0.0191134i | \(0.00608435\pi\) | ||||
−0.999817 | + | 0.0191134i | \(0.993916\pi\) | |||||||
\(522\) | 161.939 | + | 161.939i | 0.310228 | + | 0.310228i | ||||
\(523\) | −30.7150 | − | 30.7150i | −0.0587284 | − | 0.0587284i | 0.677133 | − | 0.735861i | \(-0.263222\pi\) |
−0.735861 | + | 0.677133i | \(0.763222\pi\) | |||||||
\(524\) | 1057.98 | + | 1057.98i | 2.01904 | + | 2.01904i | ||||
\(525\) | −99.4040 | + | 99.4040i | −0.189341 | + | 0.189341i | ||||
\(526\) | −27.4529 | −0.0521918 | ||||||||
\(527\) | 15.4553 | 0.0293270 | ||||||||
\(528\) | 361.003i | 0.683718i | ||||||||
\(529\) | −438.407 | −0.828746 | ||||||||
\(530\) | − | 921.565i | − | 1.73880i | ||||||
\(531\) | 357.088i | 0.672481i | ||||||||
\(532\) | − | 1880.77i | − | 3.53527i | ||||||
\(533\) | 29.8376 | + | 29.8376i | 0.0559804 | + | 0.0559804i | ||||
\(534\) | 29.7903 | − | 29.7903i | 0.0557870 | − | 0.0557870i | ||||
\(535\) | 824.162 | + | 824.162i | 1.54049 | + | 1.54049i | ||||
\(536\) | −1172.85 | −2.18816 | ||||||||
\(537\) | − | 140.163i | − | 0.261011i | ||||||
\(538\) | − | 750.763i | − | 1.39547i | ||||||
\(539\) | 925.841 | − | 925.841i | 1.71770 | − | 1.71770i | ||||
\(540\) | − | 671.892i | − | 1.24425i | ||||||
\(541\) | 512.192 | − | 512.192i | 0.946750 | − | 0.946750i | −0.0519019 | − | 0.998652i | \(-0.516528\pi\) |
0.998652 | + | 0.0519019i | \(0.0165283\pi\) | |||||||
\(542\) | − | 829.884i | − | 1.53115i | ||||||
\(543\) | 93.5158 | + | 93.5158i | 0.172221 | + | 0.172221i | ||||
\(544\) | −454.431 | −0.835351 | ||||||||
\(545\) | −367.204 | − | 367.204i | −0.673769 | − | 0.673769i | ||||
\(546\) | 357.516 | − | 357.516i | 0.654790 | − | 0.654790i | ||||
\(547\) | 330.961 | − | 330.961i | 0.605047 | − | 0.605047i | −0.336600 | − | 0.941648i | \(-0.609277\pi\) |
0.941648 | + | 0.336600i | \(0.109277\pi\) | |||||||
\(548\) | 152.255 | 0.277838 | ||||||||
\(549\) | 650.105i | 1.18416i | ||||||||
\(550\) | −996.659 | −1.81211 | ||||||||
\(551\) | 88.6465i | 0.160883i | ||||||||
\(552\) | 130.749 | 0.236864 | ||||||||
\(553\) | 791.414 | − | 791.414i | 1.43113 | − | 1.43113i | ||||
\(554\) | 1028.06i | 1.85570i | ||||||||
\(555\) | − | 11.3915i | − | 0.0205252i | ||||||
\(556\) | 691.122 | − | 691.122i | 1.24302 | − | 1.24302i | ||||
\(557\) | − | 261.110i | − | 0.468780i | −0.972143 | − | 0.234390i | \(-0.924691\pi\) | ||
0.972143 | − | 0.234390i | \(-0.0753092\pi\) | |||||||
\(558\) | 159.010 | 0.284965 | ||||||||
\(559\) | 558.918 | + | 558.918i | 0.999853 | + | 0.999853i | ||||
\(560\) | 3967.59 | + | 3967.59i | 7.08498 | + | 7.08498i | ||||
\(561\) | −13.2474 | + | 13.2474i | −0.0236138 | + | 0.0236138i | ||||
\(562\) | − | 472.837i | − | 0.841346i | ||||||
\(563\) | − | 175.000i | − | 0.310835i | −0.987849 | − | 0.155418i | \(-0.950328\pi\) | ||
0.987849 | − | 0.155418i | \(-0.0496723\pi\) | |||||||
\(564\) | 84.0107 | − | 84.0107i | 0.148955 | − | 0.148955i | ||||
\(565\) | −693.651 | −1.22770 | ||||||||
\(566\) | −2096.68 | −3.70438 | ||||||||
\(567\) | − | 951.618i | − | 1.67834i | ||||||
\(568\) | 3379.77i | 5.95030i | ||||||||
\(569\) | −699.493 | −1.22934 | −0.614669 | − | 0.788785i | \(-0.710710\pi\) | ||||
−0.614669 | + | 0.788785i | \(0.710710\pi\) | |||||||
\(570\) | 123.205 | − | 123.205i | 0.216150 | − | 0.216150i | ||||
\(571\) | 44.3380 | − | 44.3380i | 0.0776498 | − | 0.0776498i | −0.667215 | − | 0.744865i | \(-0.732514\pi\) |
0.744865 | + | 0.667215i | \(0.232514\pi\) | |||||||
\(572\) | 2638.60 | 4.61293 | ||||||||
\(573\) | 94.9012 | − | 94.9012i | 0.165622 | − | 0.165622i | ||||
\(574\) | 71.9553 | − | 71.9553i | 0.125358 | − | 0.125358i | ||||
\(575\) | 212.471i | 0.369514i | ||||||||
\(576\) | −2438.73 | −4.23390 | ||||||||
\(577\) | −793.882 | + | 793.882i | −1.37588 | + | 1.37588i | −0.524416 | + | 0.851462i | \(0.675716\pi\) |
−0.851462 | + | 0.524416i | \(0.824284\pi\) | |||||||
\(578\) | 765.365 | + | 765.365i | 1.32416 | + | 1.32416i | ||||
\(579\) | 76.6239 | − | 76.6239i | 0.132338 | − | 0.132338i | ||||
\(580\) | −364.567 | − | 364.567i | −0.628564 | − | 0.628564i | ||||
\(581\) | 1006.48 | 1.73232 | ||||||||
\(582\) | −73.6903 | −0.126616 | ||||||||
\(583\) | −279.032 | + | 279.032i | −0.478613 | + | 0.478613i | ||||
\(584\) | 762.629 | 1.30587 | ||||||||
\(585\) | −1242.29 | −2.12357 | ||||||||
\(586\) | 42.3775 | + | 42.3775i | 0.0723165 | + | 0.0723165i | ||||
\(587\) | −478.705 | −0.815511 | −0.407756 | − | 0.913091i | \(-0.633688\pi\) | ||||
−0.407756 | + | 0.913091i | \(0.633688\pi\) | |||||||
\(588\) | −444.064 | − | 444.064i | −0.755210 | − | 0.755210i | ||||
\(589\) | 43.5218 | + | 43.5218i | 0.0738910 | + | 0.0738910i | ||||
\(590\) | − | 1092.11i | − | 1.85103i | ||||||
\(591\) | 4.72300 | + | 97.0052i | 0.00799154 | + | 0.164137i | ||||
\(592\) | −214.478 | −0.362293 | ||||||||
\(593\) | 258.535 | − | 258.535i | 0.435978 | − | 0.435978i | −0.454678 | − | 0.890656i | \(-0.650246\pi\) |
0.890656 | + | 0.454678i | \(0.150246\pi\) | |||||||
\(594\) | −276.371 | + | 276.371i | −0.465270 | + | 0.465270i | ||||
\(595\) | 291.189i | 0.489393i | ||||||||
\(596\) | −1415.43 | + | 1415.43i | −2.37488 | + | 2.37488i | ||||
\(597\) | − | 147.870i | − | 0.247688i | ||||||
\(598\) | − | 764.171i | − | 1.27788i | ||||||
\(599\) | −556.457 | − | 556.457i | −0.928976 | − | 0.928976i | 0.0686640 | − | 0.997640i | \(-0.478126\pi\) |
−0.997640 | + | 0.0686640i | \(0.978126\pi\) | |||||||
\(600\) | 306.649i | 0.511082i | ||||||||
\(601\) | 45.2934i | 0.0753634i | 0.999290 | + | 0.0376817i | \(0.0119973\pi\) | ||||
−0.999290 | + | 0.0376817i | \(0.988003\pi\) | |||||||
\(602\) | 1347.87 | − | 1347.87i | 2.23898 | − | 2.23898i | ||||
\(603\) | −260.636 | − | 260.636i | −0.432233 | − | 0.432233i | ||||
\(604\) | 1288.15 | − | 1288.15i | 2.13270 | − | 2.13270i | ||||
\(605\) | 51.1457 | + | 51.1457i | 0.0845384 | + | 0.0845384i | ||||
\(606\) | 346.859i | 0.572375i | ||||||||
\(607\) | −56.2260 | −0.0926294 | −0.0463147 | − | 0.998927i | \(-0.514748\pi\) | ||||
−0.0463147 | + | 0.998927i | \(0.514748\pi\) | |||||||
\(608\) | −1279.66 | − | 1279.66i | −2.10471 | − | 2.10471i | ||||
\(609\) | 29.9128 | + | 29.9128i | 0.0491179 | + | 0.0491179i | ||||
\(610\) | − | 1988.27i | − | 3.25945i | ||||||
\(611\) | −314.973 | − | 314.973i | −0.515504 | − | 0.515504i | ||||
\(612\) | −228.931 | − | 228.931i | −0.374071 | − | 0.374071i | ||||
\(613\) | 543.158i | 0.886066i | 0.896505 | + | 0.443033i | \(0.146098\pi\) | ||||
−0.896505 | + | 0.443033i | \(0.853902\pi\) | |||||||
\(614\) | −1843.04 | −3.00169 | ||||||||
\(615\) | 6.93943 | 0.0112836 | ||||||||
\(616\) | − | 4081.87i | − | 6.62641i | ||||||
\(617\) | 601.854i | 0.975452i | 0.872997 | + | 0.487726i | \(0.162173\pi\) | ||||
−0.872997 | + | 0.487726i | \(0.837827\pi\) | |||||||
\(618\) | 124.589 | + | 124.589i | 0.201600 | + | 0.201600i | ||||
\(619\) | 863.396 | 1.39482 | 0.697412 | − | 0.716671i | \(-0.254335\pi\) | ||||
0.697412 | + | 0.716671i | \(0.254335\pi\) | |||||||
\(620\) | −357.975 | −0.577379 | ||||||||
\(621\) | 58.9175 | + | 58.9175i | 0.0948753 | + | 0.0948753i | ||||
\(622\) | 376.520 | − | 376.520i | 0.605337 | − | 0.605337i | ||||
\(623\) | −198.266 | + | 198.266i | −0.318243 | + | 0.318243i | ||||
\(624\) | − | 649.170i | − | 1.04034i | ||||||
\(625\) | 684.760 | 1.09562 | ||||||||
\(626\) | 1348.37 | + | 1348.37i | 2.15394 | + | 2.15394i | ||||
\(627\) | −74.6083 | −0.118993 | ||||||||
\(628\) | −1058.45 | −1.68543 | ||||||||
\(629\) | −7.87047 | − | 7.87047i | −0.0125127 | − | 0.0125127i | ||||
\(630\) | 2995.86i | 4.75534i | ||||||||
\(631\) | −683.405 | −1.08305 | −0.541525 | − | 0.840685i | \(-0.682153\pi\) | ||||
−0.541525 | + | 0.840685i | \(0.682153\pi\) | |||||||
\(632\) | − | 2441.41i | − | 3.86299i | ||||||
\(633\) | −85.5693 | −0.135181 | ||||||||
\(634\) | 100.323i | 0.158238i | ||||||||
\(635\) | −500.076 | − | 500.076i | −0.787520 | − | 0.787520i | ||||
\(636\) | 133.833 | + | 133.833i | 0.210429 | + | 0.210429i | ||||
\(637\) | −1664.88 | + | 1664.88i | −2.61363 | + | 2.61363i | ||||
\(638\) | 299.916i | 0.470088i | ||||||||
\(639\) | −751.066 | + | 751.066i | −1.17538 | + | 1.17538i | ||||
\(640\) | 3685.00 | 5.75782 | ||||||||
\(641\) | 17.8094 | + | 17.8094i | 0.0277838 | + | 0.0277838i | 0.720862 | − | 0.693078i | \(-0.243746\pi\) |
−0.693078 | + | 0.720862i | \(0.743746\pi\) | |||||||
\(642\) | −325.194 | −0.506533 | ||||||||
\(643\) | 623.526 | + | 623.526i | 0.969714 | + | 0.969714i | 0.999555 | − | 0.0298402i | \(-0.00949984\pi\) |
−0.0298402 | + | 0.999555i | \(0.509500\pi\) | |||||||
\(644\) | −1356.52 | −2.10639 | ||||||||
\(645\) | 129.989 | 0.201534 | ||||||||
\(646\) | − | 170.247i | − | 0.263541i | ||||||
\(647\) | −379.254 | + | 379.254i | −0.586173 | + | 0.586173i | −0.936593 | − | 0.350419i | \(-0.886039\pi\) |
0.350419 | + | 0.936593i | \(0.386039\pi\) | |||||||
\(648\) | −1467.81 | − | 1467.81i | −2.26514 | − | 2.26514i | ||||
\(649\) | −330.669 | + | 330.669i | −0.509505 | + | 0.509505i | ||||
\(650\) | 1792.23 | 2.75727 | ||||||||
\(651\) | 29.3719 | 0.0451181 | ||||||||
\(652\) | 3305.37 | 5.06958 | ||||||||
\(653\) | − | 625.010i | − | 0.957136i | −0.878050 | − | 0.478568i | \(-0.841156\pi\) | ||
0.878050 | − | 0.478568i | \(-0.158844\pi\) | |||||||
\(654\) | 144.890 | 0.221544 | ||||||||
\(655\) | − | 922.517i | − | 1.40842i | ||||||
\(656\) | − | 130.655i | − | 0.199169i | ||||||
\(657\) | 169.474 | + | 169.474i | 0.257952 | + | 0.257952i | ||||
\(658\) | −759.578 | + | 759.578i | −1.15437 | + | 1.15437i | ||||
\(659\) | −68.3569 | + | 68.3569i | −0.103728 | + | 0.103728i | −0.757066 | − | 0.653338i | \(-0.773368\pi\) |
0.653338 | + | 0.757066i | \(0.273368\pi\) | |||||||
\(660\) | 306.834 | − | 306.834i | 0.464900 | − | 0.464900i | ||||
\(661\) | 873.154 | 1.32096 | 0.660479 | − | 0.750844i | \(-0.270353\pi\) | ||||
0.660479 | + | 0.750844i | \(0.270353\pi\) | |||||||
\(662\) | 307.772 | + | 307.772i | 0.464912 | + | 0.464912i | ||||
\(663\) | 23.8219 | − | 23.8219i | 0.0359305 | − | 0.0359305i | ||||
\(664\) | 1552.43 | − | 1552.43i | 2.33799 | − | 2.33799i | ||||
\(665\) | −819.979 | + | 819.979i | −1.23305 | + | 1.23305i | ||||
\(666\) | −80.9743 | − | 80.9743i | −0.121583 | − | 0.121583i | ||||
\(667\) | 63.9370 | 0.0958576 | ||||||||
\(668\) | 866.510 | + | 866.510i | 1.29717 | + | 1.29717i | ||||
\(669\) | 127.270 | + | 127.270i | 0.190239 | + | 0.190239i | ||||
\(670\) | 797.124 | + | 797.124i | 1.18974 | + | 1.18974i | ||||
\(671\) | −602.008 | + | 602.008i | −0.897180 | + | 0.897180i | ||||
\(672\) | −863.616 | −1.28514 | ||||||||
\(673\) | −810.969 | − | 810.969i | −1.20501 | − | 1.20501i | −0.972625 | − | 0.232382i | \(-0.925348\pi\) |
−0.232382 | − | 0.972625i | \(-0.574652\pi\) | |||||||
\(674\) | − | 2219.75i | − | 3.29340i | ||||||
\(675\) | −138.181 | + | 138.181i | −0.204712 | + | 0.204712i | ||||
\(676\) | −2859.27 | −4.22969 | ||||||||
\(677\) | −515.057 | − | 515.057i | −0.760793 | − | 0.760793i | 0.215672 | − | 0.976466i | \(-0.430806\pi\) |
−0.976466 | + | 0.215672i | \(0.930806\pi\) | |||||||
\(678\) | 136.849 | − | 136.849i | 0.201842 | − | 0.201842i | ||||
\(679\) | 490.438 | 0.722294 | ||||||||
\(680\) | 449.141 | + | 449.141i | 0.660502 | + | 0.660502i | ||||
\(681\) | −120.721 | −0.177270 | ||||||||
\(682\) | 147.246 | + | 147.246i | 0.215904 | + | 0.215904i | ||||
\(683\) | 707.910i | 1.03647i | 0.855238 | + | 0.518236i | \(0.173411\pi\) | ||||
−0.855238 | + | 0.518236i | \(0.826589\pi\) | |||||||
\(684\) | − | 1289.33i | − | 1.88498i | ||||||
\(685\) | −66.3805 | − | 66.3805i | −0.0969058 | − | 0.0969058i | ||||
\(686\) | 2291.86 | + | 2291.86i | 3.34090 | + | 3.34090i | ||||
\(687\) | 16.9043i | 0.0246059i | ||||||||
\(688\) | − | 2447.43i | − | 3.55731i | ||||||
\(689\) | 501.765 | − | 501.765i | 0.728251 | − | 0.728251i | ||||
\(690\) | −88.8629 | − | 88.8629i | −0.128787 | − | 0.128787i | ||||
\(691\) | 139.556 | 0.201962 | 0.100981 | − | 0.994888i | \(-0.467802\pi\) | ||||
0.100981 | + | 0.994888i | \(0.467802\pi\) | |||||||
\(692\) | 460.145 | 0.664949 | ||||||||
\(693\) | 907.088 | − | 907.088i | 1.30893 | − | 1.30893i | ||||
\(694\) | 70.3819 | − | 70.3819i | 0.101415 | − | 0.101415i | ||||
\(695\) | −602.633 | −0.867098 | ||||||||
\(696\) | 92.2772 | 0.132582 | ||||||||
\(697\) | 4.79451 | − | 4.79451i | 0.00687878 | − | 0.00687878i | ||||
\(698\) | 134.095i | 0.192112i | ||||||||
\(699\) | −4.66431 | + | 4.66431i | −0.00667283 | + | 0.00667283i | ||||
\(700\) | − | 3181.47i | − | 4.54496i | ||||||
\(701\) | −640.508 | − | 640.508i | −0.913706 | − | 0.913706i | 0.0828559 | − | 0.996562i | \(-0.473596\pi\) |
−0.996562 | + | 0.0828559i | \(0.973596\pi\) | |||||||
\(702\) | 496.980 | − | 496.980i | 0.707949 | − | 0.707949i | ||||
\(703\) | − | 44.3260i | − | 0.0630526i | ||||||
\(704\) | −2258.30 | − | 2258.30i | −3.20781 | − | 3.20781i | ||||
\(705\) | −73.2543 | −0.103907 | ||||||||
\(706\) | −727.866 | + | 727.866i | −1.03097 | + | 1.03097i | ||||
\(707\) | − | 2308.48i | − | 3.26518i | ||||||
\(708\) | 158.600 | + | 158.600i | 0.224011 | + | 0.224011i | ||||
\(709\) | −167.271 | + | 167.271i | −0.235925 | + | 0.235925i | −0.815161 | − | 0.579235i | \(-0.803351\pi\) |
0.579235 | + | 0.815161i | \(0.303351\pi\) | |||||||
\(710\) | 2297.04 | − | 2297.04i | 3.23527 | − | 3.23527i | ||||
\(711\) | 542.540 | − | 542.540i | 0.763066 | − | 0.763066i | ||||
\(712\) | 611.625i | 0.859024i | ||||||||
\(713\) | 31.3904 | − | 31.3904i | 0.0440258 | − | 0.0440258i | ||||
\(714\) | −57.4481 | − | 57.4481i | −0.0804596 | − | 0.0804596i | ||||
\(715\) | −1150.38 | − | 1150.38i | −1.60892 | − | 1.60892i | ||||
\(716\) | 2242.99 | + | 2242.99i | 3.13267 | + | 3.13267i | ||||
\(717\) | 104.817 | − | 104.817i | 0.146188 | − | 0.146188i | ||||
\(718\) | − | 241.645i | − | 0.336553i | ||||||
\(719\) | 627.016 | + | 627.016i | 0.872066 | + | 0.872066i | 0.992697 | − | 0.120631i | \(-0.0384918\pi\) |
−0.120631 | + | 0.992697i | \(0.538492\pi\) | |||||||
\(720\) | 2719.91 | + | 2719.91i | 3.77766 | + | 3.77766i | ||||
\(721\) | −829.188 | − | 829.188i | −1.15005 | − | 1.15005i | ||||
\(722\) | −514.392 | + | 514.392i | −0.712455 | + | 0.712455i | ||||
\(723\) | −8.49846 | −0.0117544 | ||||||||
\(724\) | −2993.02 | −4.13400 | ||||||||
\(725\) | 149.953i | 0.206832i | ||||||||
\(726\) | −20.1809 | −0.0277973 | ||||||||
\(727\) | 374.777i | 0.515511i | 0.966210 | + | 0.257756i | \(0.0829829\pi\) | ||||
−0.966210 | + | 0.257756i | \(0.917017\pi\) | |||||||
\(728\) | 7340.16i | 10.0826i | ||||||||
\(729\) | − | 613.524i | − | 0.841597i | ||||||
\(730\) | −518.317 | − | 518.317i | −0.710023 | − | 0.710023i | ||||
\(731\) | 89.8109 | − | 89.8109i | 0.122860 | − | 0.122860i | ||||
\(732\) | 288.743 | + | 288.743i | 0.394457 | + | 0.394457i | ||||
\(733\) | −984.247 | −1.34277 | −0.671383 | − | 0.741111i | \(-0.734299\pi\) | ||||
−0.671383 | + | 0.741111i | \(0.734299\pi\) | |||||||
\(734\) | − | 1012.57i | − | 1.37952i | ||||||
\(735\) | 387.207i | 0.526813i | ||||||||
\(736\) | −922.968 | + | 922.968i | −1.25403 | + | 1.25403i | ||||
\(737\) | − | 482.707i | − | 0.654962i | ||||||
\(738\) | 49.3278 | − | 49.3278i | 0.0668398 | − | 0.0668398i | ||||
\(739\) | − | 695.375i | − | 0.940967i | −0.882409 | − | 0.470484i | \(-0.844079\pi\) | ||
0.882409 | − | 0.470484i | \(-0.155921\pi\) | |||||||
\(740\) | 182.295 | + | 182.295i | 0.246344 | + | 0.246344i | ||||
\(741\) | 134.163 | 0.181057 | ||||||||
\(742\) | −1210.04 | − | 1210.04i | −1.63078 | − | 1.63078i | ||||
\(743\) | 468.037 | − | 468.037i | 0.629928 | − | 0.629928i | −0.318122 | − | 0.948050i | \(-0.603052\pi\) |
0.948050 | + | 0.318122i | \(0.103052\pi\) | |||||||
\(744\) | 45.3043 | − | 45.3043i | 0.0608929 | − | 0.0608929i | ||||
\(745\) | 1234.20 | 1.65665 | ||||||||
\(746\) | 338.440i | 0.453672i | ||||||||
\(747\) | 689.973 | 0.923658 | ||||||||
\(748\) | − | 423.988i | − | 0.566829i | ||||||
\(749\) | 2164.29 | 2.88958 | ||||||||
\(750\) | −24.9938 | + | 24.9938i | −0.0333251 | + | 0.0333251i | ||||
\(751\) | − | 34.3867i | − | 0.0457878i | −0.999738 | − | 0.0228939i | \(-0.992712\pi\) | ||
0.999738 | − | 0.0228939i | \(-0.00728799\pi\) | |||||||
\(752\) | 1379.23i | 1.83408i | ||||||||
\(753\) | −28.2296 | + | 28.2296i | −0.0374895 | + | 0.0374895i | ||||
\(754\) | − | 539.320i | − | 0.715279i | ||||||
\(755\) | −1123.22 | −1.48771 | ||||||||
\(756\) | −882.213 | − | 882.213i | −1.16695 | − | 1.16695i | ||||
\(757\) | −269.660 | − | 269.660i | −0.356222 | − | 0.356222i | 0.506196 | − | 0.862418i | \(-0.331051\pi\) |
−0.862418 | + | 0.506196i | \(0.831051\pi\) | |||||||
\(758\) | −1263.08 | + | 1263.08i | −1.66634 | + | 1.66634i | ||||
\(759\) | 53.8119i | 0.0708984i | ||||||||
\(760\) | 2529.53i | 3.32833i | ||||||||
\(761\) | 582.868 | − | 582.868i | 0.765924 | − | 0.765924i | −0.211462 | − | 0.977386i | \(-0.567823\pi\) |
0.977386 | + | 0.211462i | \(0.0678226\pi\) | |||||||
\(762\) | 197.318 | 0.258947 | ||||||||
\(763\) | −964.298 | −1.26382 | ||||||||
\(764\) | 3037.36i | 3.97560i | ||||||||
\(765\) | 199.620i | 0.260941i | ||||||||
\(766\) | 1109.66 | 1.44864 | ||||||||
\(767\) | 594.621 | − | 594.621i | 0.775256 | − | 0.775256i | ||||
\(768\) | −338.680 | + | 338.680i | −0.440990 | + | 0.440990i | ||||
\(769\) | 990.557 | 1.28811 | 0.644055 | − | 0.764979i | \(-0.277251\pi\) | ||||
0.644055 | + | 0.764979i | \(0.277251\pi\) | |||||||
\(770\) | −2774.22 | + | 2774.22i | −3.60288 | + | 3.60288i | ||||
\(771\) | −66.8981 | + | 66.8981i | −0.0867680 | + | 0.0867680i | ||||
\(772\) | 2452.39i | 3.17667i | ||||||||
\(773\) | 1336.28 | 1.72869 | 0.864345 | − | 0.502899i | \(-0.167733\pi\) | ||||
0.864345 | + | 0.502899i | \(0.167733\pi\) | |||||||
\(774\) | 924.008 | − | 924.008i | 1.19381 | − | 1.19381i | ||||
\(775\) | 73.6207 | + | 73.6207i | 0.0949945 | + | 0.0949945i | ||||