Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(734,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.734");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.g (of order \(2\), degree \(1\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 734.12 | ||
Character | \(\chi\) | \(=\) | 735.734 |
Dual form | 735.2.g.c.734.11 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.903339 | −0.638757 | −0.319378 | − | 0.947627i | \(-0.603474\pi\) | ||||
−0.319378 | + | 0.947627i | \(0.603474\pi\) | |||||||
\(3\) | 1.72180 | + | 0.188163i | 0.994082 | + | 0.108636i | ||||
\(4\) | −1.18398 | −0.591990 | ||||||||
\(5\) | 1.94641 | + | 1.10068i | 0.870460 | + | 0.492238i | ||||
\(6\) | −1.55537 | − | 0.169975i | −0.634976 | − | 0.0693919i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.87621 | 1.01689 | ||||||||
\(9\) | 2.92919 | + | 0.647957i | 0.976396 | + | 0.215986i | ||||
\(10\) | −1.75827 | − | 0.994285i | −0.556013 | − | 0.314421i | ||||
\(11\) | 4.06437i | 1.22545i | 0.790294 | + | 0.612727i | \(0.209928\pi\) | ||||
−0.790294 | + | 0.612727i | \(0.790072\pi\) | |||||||
\(12\) | −2.03858 | − | 0.222781i | −0.588486 | − | 0.0643113i | ||||
\(13\) | −2.88298 | −0.799595 | −0.399798 | − | 0.916603i | \(-0.630920\pi\) | ||||
−0.399798 | + | 0.916603i | \(0.630920\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.14422 | + | 2.26139i | 0.811834 | + | 0.583888i | ||||
\(16\) | −0.230234 | −0.0575586 | ||||||||
\(17\) | 6.66864i | 1.61738i | 0.588233 | + | 0.808691i | \(0.299824\pi\) | ||||
−0.588233 | + | 0.808691i | \(0.700176\pi\) | |||||||
\(18\) | −2.64605 | − | 0.585325i | −0.623680 | − | 0.137962i | ||||
\(19\) | − | 5.70701i | − | 1.30928i | −0.755941 | − | 0.654639i | \(-0.772821\pi\) | ||
0.755941 | − | 0.654639i | \(-0.227179\pi\) | |||||||
\(20\) | −2.30451 | − | 1.30318i | −0.515304 | − | 0.291400i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 3.67151i | − | 0.782768i | ||||||
\(23\) | −1.63185 | −0.340265 | −0.170133 | − | 0.985421i | \(-0.554420\pi\) | ||||
−0.170133 | + | 0.985421i | \(0.554420\pi\) | |||||||
\(24\) | 4.95226 | + | 0.541196i | 1.01088 | + | 0.110471i | ||||
\(25\) | 2.57701 | + | 4.28474i | 0.515403 | + | 0.856948i | ||||
\(26\) | 2.60431 | 0.510747 | ||||||||
\(27\) | 4.92156 | + | 1.66682i | 0.947154 | + | 0.320779i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 5.89707i | − | 1.09506i | −0.836786 | − | 0.547530i | \(-0.815568\pi\) | ||
0.836786 | − | 0.547530i | \(-0.184432\pi\) | |||||||
\(30\) | −2.84029 | − | 2.04280i | −0.518565 | − | 0.372963i | ||||
\(31\) | 1.87068i | 0.335985i | 0.985788 | + | 0.167992i | \(0.0537284\pi\) | ||||
−0.985788 | + | 0.167992i | \(0.946272\pi\) | |||||||
\(32\) | −5.54444 | −0.980128 | ||||||||
\(33\) | −0.764764 | + | 6.99804i | −0.133128 | + | 1.21820i | ||||
\(34\) | − | 6.02404i | − | 1.03311i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.46810 | − | 0.767168i | −0.578017 | − | 0.127861i | ||||
\(37\) | − | 1.59973i | − | 0.262994i | −0.991317 | − | 0.131497i | \(-0.958022\pi\) | ||
0.991317 | − | 0.131497i | \(-0.0419783\pi\) | |||||||
\(38\) | 5.15537i | 0.836311i | ||||||||
\(39\) | −4.96392 | − | 0.542470i | −0.794863 | − | 0.0868647i | ||||
\(40\) | 5.59828 | + | 3.16578i | 0.885166 | + | 0.500554i | ||||
\(41\) | 9.12244 | 1.42469 | 0.712343 | − | 0.701832i | \(-0.247634\pi\) | ||||
0.712343 | + | 0.701832i | \(0.247634\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.53359i | 1.14886i | 0.818553 | + | 0.574431i | \(0.194777\pi\) | ||||
−0.818553 | + | 0.574431i | \(0.805223\pi\) | |||||||
\(44\) | − | 4.81213i | − | 0.725456i | ||||||
\(45\) | 4.98821 | + | 4.48529i | 0.743598 | + | 0.668627i | ||||
\(46\) | 1.47412 | 0.217347 | ||||||||
\(47\) | 6.91446i | 1.00858i | 0.863535 | + | 0.504289i | \(0.168245\pi\) | ||||
−0.863535 | + | 0.504289i | \(0.831755\pi\) | |||||||
\(48\) | −0.396417 | − | 0.0433215i | −0.0572179 | − | 0.00625292i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.32792 | − | 3.87057i | −0.329217 | − | 0.547381i | ||||
\(51\) | −1.25479 | + | 11.4821i | −0.175706 | + | 1.60781i | ||||
\(52\) | 3.41339 | 0.473352 | ||||||||
\(53\) | −1.51865 | −0.208603 | −0.104301 | − | 0.994546i | \(-0.533261\pi\) | ||||
−0.104301 | + | 0.994546i | \(0.533261\pi\) | |||||||
\(54\) | −4.44583 | − | 1.50570i | −0.605001 | − | 0.204900i | ||||
\(55\) | −4.47357 | + | 7.91093i | −0.603216 | + | 1.06671i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.07385 | − | 9.82633i | 0.142235 | − | 1.30153i | ||||
\(58\) | 5.32705i | 0.699477i | ||||||||
\(59\) | −0.991850 | −0.129128 | −0.0645640 | − | 0.997914i | \(-0.520566\pi\) | ||||
−0.0645640 | + | 0.997914i | \(0.520566\pi\) | |||||||
\(60\) | −3.72269 | − | 2.67744i | −0.480597 | − | 0.345656i | ||||
\(61\) | 6.16485i | 0.789328i | 0.918825 | + | 0.394664i | \(0.129139\pi\) | ||||
−0.918825 | + | 0.394664i | \(0.870861\pi\) | |||||||
\(62\) | − | 1.68986i | − | 0.214612i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.46898 | 0.683622 | ||||||||
\(65\) | −5.61146 | − | 3.17324i | −0.696016 | − | 0.393591i | ||||
\(66\) | 0.690841 | − | 6.32160i | 0.0850366 | − | 0.778135i | ||||
\(67\) | − | 10.0903i | − | 1.23272i | −0.787464 | − | 0.616361i | \(-0.788606\pi\) | ||
0.787464 | − | 0.616361i | \(-0.211394\pi\) | |||||||
\(68\) | − | 7.89553i | − | 0.957474i | ||||||
\(69\) | −2.80973 | − | 0.307054i | −0.338251 | − | 0.0369650i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.81213i | − | 0.571095i | −0.958365 | − | 0.285548i | \(-0.907825\pi\) | ||
0.958365 | − | 0.285548i | \(-0.0921755\pi\) | |||||||
\(72\) | 8.42497 | + | 1.86366i | 0.992892 | + | 0.219635i | ||||
\(73\) | 0.560619 | 0.0656154 | 0.0328077 | − | 0.999462i | \(-0.489555\pi\) | ||||
0.0328077 | + | 0.999462i | \(0.489555\pi\) | |||||||
\(74\) | 1.44510i | 0.167989i | ||||||||
\(75\) | 3.63087 | + | 7.86236i | 0.419257 | + | 0.907868i | ||||
\(76\) | 6.75699i | 0.775079i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.48410 | + | 0.490034i | 0.507724 | + | 0.0554854i | ||||
\(79\) | 3.79848 | 0.427362 | 0.213681 | − | 0.976904i | \(-0.431455\pi\) | ||||
0.213681 | + | 0.976904i | \(0.431455\pi\) | |||||||
\(80\) | −0.448130 | − | 0.253414i | −0.0501024 | − | 0.0283325i | ||||
\(81\) | 8.16030 | + | 3.79598i | 0.906700 | + | 0.421776i | ||||
\(82\) | −8.24065 | −0.910028 | ||||||||
\(83\) | − | 4.00431i | − | 0.439530i | −0.975553 | − | 0.219765i | \(-0.929471\pi\) | ||
0.975553 | − | 0.219765i | \(-0.0705291\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.34003 | + | 12.9799i | −0.796138 | + | 1.40787i | ||||
\(86\) | − | 6.80539i | − | 0.733844i | ||||||
\(87\) | 1.10961 | − | 10.1536i | 0.118963 | − | 1.08858i | ||||
\(88\) | 11.6900i | 1.24616i | ||||||||
\(89\) | 10.4109 | 1.10356 | 0.551779 | − | 0.833990i | \(-0.313949\pi\) | ||||
0.551779 | + | 0.833990i | \(0.313949\pi\) | |||||||
\(90\) | −4.50604 | − | 4.05173i | −0.474978 | − | 0.427090i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.93208 | 0.201433 | ||||||||
\(93\) | −0.351993 | + | 3.22094i | −0.0365000 | + | 0.333996i | ||||
\(94\) | − | 6.24610i | − | 0.644236i | ||||||
\(95\) | 6.28159 | − | 11.1082i | 0.644477 | − | 1.13968i | ||||
\(96\) | −9.54642 | − | 1.04326i | −0.974328 | − | 0.106477i | ||||
\(97\) | 14.5370 | 1.47601 | 0.738006 | − | 0.674795i | \(-0.235768\pi\) | ||||
0.738006 | + | 0.674795i | \(0.235768\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.63354 | + | 11.9053i | −0.264681 | + | 1.19653i | ||||
\(100\) | −3.05113 | − | 5.07304i | −0.305113 | − | 0.507304i | ||||
\(101\) | −13.7973 | −1.37289 | −0.686443 | − | 0.727183i | \(-0.740829\pi\) | ||||
−0.686443 | + | 0.727183i | \(0.740829\pi\) | |||||||
\(102\) | 1.13350 | − | 10.3722i | 0.112233 | − | 1.02700i | ||||
\(103\) | 8.31359 | 0.819162 | 0.409581 | − | 0.912274i | \(-0.365675\pi\) | ||||
0.409581 | + | 0.912274i | \(0.365675\pi\) | |||||||
\(104\) | −8.29206 | −0.813104 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.37186 | 0.133246 | ||||||||
\(107\) | −10.7371 | −1.03799 | −0.518996 | − | 0.854777i | \(-0.673694\pi\) | ||||
−0.518996 | + | 0.854777i | \(0.673694\pi\) | |||||||
\(108\) | −5.82702 | − | 1.97348i | −0.560705 | − | 0.189898i | ||||
\(109\) | 0.536675 | 0.0514042 | 0.0257021 | − | 0.999670i | \(-0.491818\pi\) | ||||
0.0257021 | + | 0.999670i | \(0.491818\pi\) | |||||||
\(110\) | 4.04115 | − | 7.14625i | 0.385308 | − | 0.681368i | ||||
\(111\) | 0.301010 | − | 2.75441i | 0.0285706 | − | 0.261437i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.1028 | −1.13854 | −0.569270 | − | 0.822151i | \(-0.692774\pi\) | ||||
−0.569270 | + | 0.822151i | \(0.692774\pi\) | |||||||
\(114\) | −0.970048 | + | 8.87651i | −0.0908533 | + | 0.831361i | ||||
\(115\) | −3.17626 | − | 1.79615i | −0.296187 | − | 0.167492i | ||||
\(116\) | 6.98201i | 0.648264i | ||||||||
\(117\) | −8.44480 | − | 1.86805i | −0.780722 | − | 0.172701i | ||||
\(118\) | 0.895977 | 0.0824813 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 9.04344 | + | 6.50424i | 0.825549 | + | 0.593753i | ||||
\(121\) | −5.51913 | −0.501739 | ||||||||
\(122\) | − | 5.56895i | − | 0.504189i | ||||||
\(123\) | 15.7070 | + | 1.71650i | 1.41625 | + | 0.154772i | ||||
\(124\) | − | 2.21485i | − | 0.198899i | ||||||
\(125\) | 0.299800 | + | 11.1763i | 0.0268150 | + | 0.999640i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 22.2883i | − | 1.97777i | −0.148697 | − | 0.988883i | \(-0.547508\pi\) | ||
0.148697 | − | 0.988883i | \(-0.452492\pi\) | |||||||
\(128\) | 6.14855 | 0.543460 | ||||||||
\(129\) | −1.41754 | + | 12.9713i | −0.124808 | + | 1.14206i | ||||
\(130\) | 5.06905 | + | 2.86651i | 0.444585 | + | 0.251409i | ||||
\(131\) | 0.114179 | 0.00997586 | 0.00498793 | − | 0.999988i | \(-0.498412\pi\) | ||||
0.00498793 | + | 0.999988i | \(0.498412\pi\) | |||||||
\(132\) | 0.905465 | − | 8.28553i | 0.0788106 | − | 0.721163i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 9.11493i | 0.787410i | ||||||||
\(135\) | 7.74473 | + | 8.66136i | 0.666560 | + | 0.745451i | ||||
\(136\) | 19.1804i | 1.64471i | ||||||||
\(137\) | 12.5438 | 1.07168 | 0.535842 | − | 0.844318i | \(-0.319994\pi\) | ||||
0.535842 | + | 0.844318i | \(0.319994\pi\) | |||||||
\(138\) | 2.53813 | + | 0.277374i | 0.216060 | + | 0.0236117i | ||||
\(139\) | 2.37640i | 0.201564i | 0.994909 | + | 0.100782i | \(0.0321344\pi\) | ||||
−0.994909 | + | 0.100782i | \(0.967866\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.30104 | + | 11.9053i | −0.109568 | + | 1.00261i | ||||
\(142\) | 4.34699i | 0.364791i | ||||||||
\(143\) | − | 11.7175i | − | 0.979868i | ||||||
\(144\) | −0.674400 | − | 0.149182i | −0.0562000 | − | 0.0124318i | ||||
\(145\) | 6.49078 | − | 11.4781i | 0.539030 | − | 0.953206i | ||||
\(146\) | −0.506428 | −0.0419123 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.89405i | 0.155690i | ||||||||
\(149\) | − | 16.4685i | − | 1.34915i | −0.738207 | − | 0.674575i | \(-0.764327\pi\) | ||
0.738207 | − | 0.674575i | \(-0.235673\pi\) | |||||||
\(150\) | −3.27991 | − | 7.10238i | −0.267803 | − | 0.579907i | ||||
\(151\) | −13.1473 | −1.06991 | −0.534955 | − | 0.844881i | \(-0.679671\pi\) | ||||
−0.534955 | + | 0.844881i | \(0.679671\pi\) | |||||||
\(152\) | − | 16.4146i | − | 1.33140i | ||||||
\(153\) | −4.32099 | + | 19.5337i | −0.349332 | + | 1.57921i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.05902 | + | 3.64111i | −0.165385 | + | 0.292461i | ||||
\(156\) | 5.87717 | + | 0.642273i | 0.470551 | + | 0.0514230i | ||||
\(157\) | 3.18813 | 0.254440 | 0.127220 | − | 0.991874i | \(-0.459395\pi\) | ||||
0.127220 | + | 0.991874i | \(0.459395\pi\) | |||||||
\(158\) | −3.43131 | −0.272980 | ||||||||
\(159\) | −2.61481 | − | 0.285753i | −0.207368 | − | 0.0226617i | ||||
\(160\) | −10.7918 | − | 6.10265i | −0.853163 | − | 0.482457i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −7.37152 | − | 3.42906i | −0.579161 | − | 0.269412i | ||||
\(163\) | − | 19.2794i | − | 1.51008i | −0.655679 | − | 0.755040i | \(-0.727617\pi\) | ||
0.655679 | − | 0.755040i | \(-0.272383\pi\) | |||||||
\(164\) | −10.8008 | −0.843399 | ||||||||
\(165\) | −9.19113 | + | 12.7793i | −0.715529 | + | 0.994866i | ||||
\(166\) | 3.61725i | 0.280753i | ||||||||
\(167\) | 0.883913i | 0.0683993i | 0.999415 | + | 0.0341996i | \(0.0108882\pi\) | ||||
−0.999415 | + | 0.0341996i | \(0.989112\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.68842 | −0.360648 | ||||||||
\(170\) | 6.63053 | − | 11.7252i | 0.508538 | − | 0.899285i | ||||
\(171\) | 3.69790 | − | 16.7169i | 0.282786 | − | 1.27838i | ||||
\(172\) | − | 8.91962i | − | 0.680114i | ||||||
\(173\) | − | 12.5161i | − | 0.951585i | −0.879558 | − | 0.475793i | \(-0.842161\pi\) | ||
0.879558 | − | 0.475793i | \(-0.157839\pi\) | |||||||
\(174\) | −1.00235 | + | 9.17212i | −0.0759882 | + | 0.695337i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 0.935758i | − | 0.0705354i | ||||||
\(177\) | −1.70777 | − | 0.186629i | −0.128364 | − | 0.0140279i | ||||
\(178\) | −9.40461 | −0.704906 | ||||||||
\(179\) | − | 12.1657i | − | 0.909305i | −0.890669 | − | 0.454653i | \(-0.849763\pi\) | ||
0.890669 | − | 0.454653i | \(-0.150237\pi\) | |||||||
\(180\) | −5.90593 | − | 5.31049i | −0.440202 | − | 0.395820i | ||||
\(181\) | − | 16.1773i | − | 1.20245i | −0.799081 | − | 0.601224i | \(-0.794680\pi\) | ||
0.799081 | − | 0.601224i | \(-0.205320\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.16000 | + | 10.6146i | −0.0857493 | + | 0.784657i | ||||
\(184\) | −4.69356 | −0.346014 | ||||||||
\(185\) | 1.76079 | − | 3.11373i | 0.129456 | − | 0.228926i | ||||
\(186\) | 0.317969 | − | 2.90960i | 0.0233146 | − | 0.213342i | ||||
\(187\) | −27.1038 | −1.98203 | ||||||||
\(188\) | − | 8.18658i | − | 0.597068i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.67440 | + | 10.0344i | −0.411664 | + | 0.727975i | ||||
\(191\) | 8.27793i | 0.598970i | 0.954101 | + | 0.299485i | \(0.0968148\pi\) | ||||
−0.954101 | + | 0.299485i | \(0.903185\pi\) | |||||||
\(192\) | 9.41649 | + | 1.02906i | 0.679576 | + | 0.0742659i | ||||
\(193\) | − | 15.9253i | − | 1.14633i | −0.819440 | − | 0.573166i | \(-0.805715\pi\) | ||
0.819440 | − | 0.573166i | \(-0.194285\pi\) | |||||||
\(194\) | −13.1319 | −0.942812 | ||||||||
\(195\) | −9.06473 | − | 6.51954i | −0.649138 | − | 0.466874i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −23.8738 | −1.70094 | −0.850468 | − | 0.526027i | \(-0.823681\pi\) | ||||
−0.850468 | + | 0.526027i | \(0.823681\pi\) | |||||||
\(198\) | 2.37898 | − | 10.7545i | 0.169067 | − | 0.764292i | ||||
\(199\) | − | 12.2273i | − | 0.866768i | −0.901209 | − | 0.433384i | \(-0.857319\pi\) | ||
0.901209 | − | 0.433384i | \(-0.142681\pi\) | |||||||
\(200\) | 7.41204 | + | 12.3238i | 0.524110 | + | 0.871426i | ||||
\(201\) | 1.89861 | − | 17.3734i | 0.133918 | − | 1.22543i | ||||
\(202\) | 12.4637 | 0.876941 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.48565 | − | 13.5945i | 0.104016 | − | 0.951807i | ||||
\(205\) | 17.7560 | + | 10.0409i | 1.24013 | + | 0.701285i | ||||
\(206\) | −7.50998 | −0.523245 | ||||||||
\(207\) | −4.78001 | − | 1.05737i | −0.332234 | − | 0.0734925i | ||||
\(208\) | 0.663761 | 0.0460235 | ||||||||
\(209\) | 23.1954 | 1.60446 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.8640 | 1.29865 | 0.649327 | − | 0.760510i | \(-0.275051\pi\) | ||||
0.649327 | + | 0.760510i | \(0.275051\pi\) | |||||||
\(212\) | 1.79805 | 0.123491 | ||||||||
\(213\) | 0.905465 | − | 8.28553i | 0.0620414 | − | 0.567715i | ||||
\(214\) | 9.69921 | 0.663025 | ||||||||
\(215\) | −8.29206 | + | 14.6635i | −0.565514 | + | 1.00004i | ||||
\(216\) | 14.1554 | + | 4.79412i | 0.963156 | + | 0.326199i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.484799 | −0.0328348 | ||||||||
\(219\) | 0.965273 | + | 0.105488i | 0.0652271 | + | 0.00712819i | ||||
\(220\) | 5.29661 | − | 9.36638i | 0.357098 | − | 0.631481i | ||||
\(221\) | − | 19.2256i | − | 1.29325i | ||||||
\(222\) | −0.271914 | + | 2.48817i | −0.0182496 | + | 0.166995i | ||||
\(223\) | −19.2779 | −1.29095 | −0.645473 | − | 0.763783i | \(-0.723340\pi\) | ||||
−0.645473 | + | 0.763783i | \(0.723340\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.77223 | + | 14.2206i | 0.318149 | + | 0.948041i | ||||
\(226\) | 10.9330 | 0.727250 | ||||||||
\(227\) | − | 11.5017i | − | 0.763397i | −0.924287 | − | 0.381698i | \(-0.875339\pi\) | ||
0.924287 | − | 0.381698i | \(-0.124661\pi\) | |||||||
\(228\) | −1.27141 | + | 11.6342i | −0.0842014 | + | 0.770492i | ||||
\(229\) | 17.3732i | 1.14806i | 0.818836 | + | 0.574028i | \(0.194620\pi\) | ||||
−0.818836 | + | 0.574028i | \(0.805380\pi\) | |||||||
\(230\) | 2.86923 | + | 1.62253i | 0.189192 | + | 0.106986i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 16.9612i | − | 1.11356i | ||||||
\(233\) | 0.462850 | 0.0303223 | 0.0151611 | − | 0.999885i | \(-0.495174\pi\) | ||||
0.0151611 | + | 0.999885i | \(0.495174\pi\) | |||||||
\(234\) | 7.62851 | + | 1.68748i | 0.498691 | + | 0.110314i | ||||
\(235\) | −7.61060 | + | 13.4584i | −0.496461 | + | 0.877927i | ||||
\(236\) | 1.17433 | 0.0764424 | ||||||||
\(237\) | 6.54021 | + | 0.714732i | 0.424833 | + | 0.0464268i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 17.3055i | − | 1.11940i | −0.828696 | − | 0.559699i | \(-0.810917\pi\) | ||
0.828696 | − | 0.559699i | \(-0.189083\pi\) | |||||||
\(240\) | −0.723907 | − | 0.520649i | −0.0467280 | − | 0.0336078i | ||||
\(241\) | 4.27939i | 0.275660i | 0.990456 | + | 0.137830i | \(0.0440128\pi\) | ||||
−0.990456 | + | 0.137830i | \(0.955987\pi\) | |||||||
\(242\) | 4.98564 | 0.320489 | ||||||||
\(243\) | 13.3361 | + | 8.07138i | 0.855514 | + | 0.517780i | ||||
\(244\) | − | 7.29906i | − | 0.467274i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −14.1888 | − | 1.55058i | −0.904642 | − | 0.0988617i | ||||
\(247\) | 16.4532i | 1.04689i | ||||||||
\(248\) | 5.38048i | 0.341661i | ||||||||
\(249\) | 0.753463 | − | 6.89462i | 0.0477488 | − | 0.436929i | ||||
\(250\) | −0.270821 | − | 10.0960i | −0.0171282 | − | 0.638527i | ||||
\(251\) | −17.4145 | −1.09919 | −0.549597 | − | 0.835430i | \(-0.685219\pi\) | ||||
−0.549597 | + | 0.835430i | \(0.685219\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 6.63247i | − | 0.416980i | ||||||
\(254\) | 20.1339i | 1.26331i | ||||||||
\(255\) | −15.0804 | + | 20.9677i | −0.944371 | + | 1.31305i | ||||
\(256\) | −16.4922 | −1.03076 | ||||||||
\(257\) | 15.4161i | 0.961630i | 0.876822 | + | 0.480815i | \(0.159659\pi\) | ||||
−0.876822 | + | 0.480815i | \(0.840341\pi\) | |||||||
\(258\) | 1.28052 | − | 11.7175i | 0.0797217 | − | 0.729500i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.64385 | + | 3.75704i | 0.412034 | + | 0.233002i | ||||
\(261\) | 3.82105 | − | 17.2736i | 0.236517 | − | 1.06921i | ||||
\(262\) | −0.103142 | −0.00637215 | ||||||||
\(263\) | −6.21170 | −0.383030 | −0.191515 | − | 0.981490i | \(-0.561340\pi\) | ||||
−0.191515 | + | 0.981490i | \(0.561340\pi\) | |||||||
\(264\) | −2.19962 | + | 20.1278i | −0.135377 | + | 1.23878i | ||||
\(265\) | −2.95591 | − | 1.67155i | −0.181580 | − | 0.102682i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.9256 | + | 1.95895i | 1.09703 | + | 0.119886i | ||||
\(268\) | 11.9467i | 0.729759i | ||||||||
\(269\) | 5.99070 | 0.365259 | 0.182630 | − | 0.983182i | \(-0.441539\pi\) | ||||
0.182630 | + | 0.983182i | \(0.441539\pi\) | |||||||
\(270\) | −6.99611 | − | 7.82414i | −0.425770 | − | 0.476162i | ||||
\(271\) | 6.24515i | 0.379366i | 0.981845 | + | 0.189683i | \(0.0607460\pi\) | ||||
−0.981845 | + | 0.189683i | \(0.939254\pi\) | |||||||
\(272\) | − | 1.53535i | − | 0.0930942i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.3313 | −0.684546 | ||||||||
\(275\) | −17.4148 | + | 10.4739i | −1.05015 | + | 0.631603i | ||||
\(276\) | 3.32666 | + | 0.363546i | 0.200241 | + | 0.0218829i | ||||
\(277\) | − | 8.70424i | − | 0.522987i | −0.965205 | − | 0.261494i | \(-0.915785\pi\) | ||
0.965205 | − | 0.261494i | \(-0.0842150\pi\) | |||||||
\(278\) | − | 2.14669i | − | 0.128750i | ||||||
\(279\) | −1.21212 | + | 5.47959i | −0.0725679 | + | 0.328054i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 4.36274i | − | 0.260259i | −0.991497 | − | 0.130130i | \(-0.958461\pi\) | ||
0.991497 | − | 0.130130i | \(-0.0415393\pi\) | |||||||
\(282\) | 1.17528 | − | 10.7545i | 0.0699871 | − | 0.640423i | ||||
\(283\) | 7.52075 | 0.447062 | 0.223531 | − | 0.974697i | \(-0.428242\pi\) | ||||
0.223531 | + | 0.974697i | \(0.428242\pi\) | |||||||
\(284\) | 5.69747i | 0.338082i | ||||||||
\(285\) | 12.9058 | − | 17.9441i | 0.764473 | − | 1.06292i | ||||
\(286\) | 10.5849i | 0.625897i | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −16.2407 | − | 3.59256i | −0.956994 | − | 0.211694i | ||||
\(289\) | −27.4707 | −1.61593 | ||||||||
\(290\) | −5.86337 | + | 10.3686i | −0.344309 | + | 0.608867i | ||||
\(291\) | 25.0298 | + | 2.73533i | 1.46728 | + | 0.160348i | ||||
\(292\) | −0.663761 | −0.0388437 | ||||||||
\(293\) | − | 0.105885i | − | 0.00618587i | −0.999995 | − | 0.00309293i | \(-0.999015\pi\) | ||
0.999995 | − | 0.00309293i | \(-0.000984513\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.93055 | − | 1.09171i | −0.112401 | − | 0.0635617i | ||||
\(296\) | − | 4.60116i | − | 0.267437i | ||||||
\(297\) | −6.77457 | + | 20.0030i | −0.393100 | + | 1.16069i | ||||
\(298\) | 14.8766i | 0.861778i | ||||||||
\(299\) | 4.70461 | 0.272074 | ||||||||
\(300\) | −4.29888 | − | 9.30888i | −0.248196 | − | 0.537448i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 11.8764 | 0.683412 | ||||||||
\(303\) | −23.7563 | − | 2.59615i | −1.36476 | − | 0.149145i | ||||
\(304\) | 1.31395i | 0.0753602i | ||||||||
\(305\) | −6.78552 | + | 11.9993i | −0.388538 | + | 0.687079i | ||||
\(306\) | 3.90332 | − | 17.6455i | 0.223138 | − | 1.00873i | ||||
\(307\) | 9.31270 | 0.531504 | 0.265752 | − | 0.964041i | \(-0.414380\pi\) | ||||
0.265752 | + | 0.964041i | \(0.414380\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 14.3143 | + | 1.56431i | 0.814314 | + | 0.0889904i | ||||
\(310\) | 1.85999 | − | 3.28916i | 0.105641 | − | 0.186812i | ||||
\(311\) | 25.3143 | 1.43544 | 0.717722 | − | 0.696330i | \(-0.245185\pi\) | ||||
0.717722 | + | 0.696330i | \(0.245185\pi\) | |||||||
\(312\) | −14.2773 | − | 1.56026i | −0.808291 | − | 0.0883322i | ||||
\(313\) | 7.64982 | 0.432394 | 0.216197 | − | 0.976350i | \(-0.430635\pi\) | ||||
0.216197 | + | 0.976350i | \(0.430635\pi\) | |||||||
\(314\) | −2.87996 | −0.162526 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.49732 | −0.252994 | ||||||||
\(317\) | 24.7465 | 1.38990 | 0.694950 | − | 0.719058i | \(-0.255426\pi\) | ||||
0.694950 | + | 0.719058i | \(0.255426\pi\) | |||||||
\(318\) | 2.36206 | + | 0.258132i | 0.132458 | + | 0.0144753i | ||||
\(319\) | 23.9679 | 1.34195 | ||||||||
\(320\) | 10.6449 | + | 6.01959i | 0.595066 | + | 0.336505i | ||||
\(321\) | −18.4871 | − | 2.02032i | −1.03185 | − | 0.112763i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 38.0580 | 2.11760 | ||||||||
\(324\) | −9.66163 | − | 4.49436i | −0.536757 | − | 0.249687i | ||||
\(325\) | −7.42948 | − | 12.3528i | −0.412114 | − | 0.685211i | ||||
\(326\) | 17.4158i | 0.964574i | ||||||||
\(327\) | 0.924047 | + | 0.100982i | 0.0510999 | + | 0.00558434i | ||||
\(328\) | 26.2381 | 1.44875 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 8.30270 | − | 11.5440i | 0.457049 | − | 0.635477i | ||||
\(331\) | −16.3562 | −0.899019 | −0.449509 | − | 0.893276i | \(-0.648401\pi\) | ||||
−0.449509 | + | 0.893276i | \(0.648401\pi\) | |||||||
\(332\) | 4.74102i | 0.260197i | ||||||||
\(333\) | 1.03656 | − | 4.68591i | 0.0568029 | − | 0.256786i | ||||
\(334\) | − | 0.798473i | − | 0.0436905i | ||||||
\(335\) | 11.1061 | − | 19.6398i | 0.606793 | − | 1.07304i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 3.59256i | − | 0.195699i | −0.995201 | − | 0.0978497i | \(-0.968804\pi\) | ||
0.995201 | − | 0.0978497i | \(-0.0311964\pi\) | |||||||
\(338\) | 4.23523 | 0.230366 | ||||||||
\(339\) | −20.8387 | − | 2.27731i | −1.13180 | − | 0.123686i | ||||
\(340\) | 8.69044 | − | 15.3679i | 0.471305 | − | 0.833443i | ||||
\(341\) | −7.60315 | −0.411734 | ||||||||
\(342\) | −3.34046 | + | 15.1010i | −0.180631 | + | 0.816571i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 21.6682i | 1.16827i | ||||||||
\(345\) | −5.13091 | − | 3.69026i | −0.276239 | − | 0.198677i | ||||
\(346\) | 11.3063i | 0.607832i | ||||||||
\(347\) | −18.9288 | −1.01615 | −0.508075 | − | 0.861313i | \(-0.669643\pi\) | ||||
−0.508075 | + | 0.861313i | \(0.669643\pi\) | |||||||
\(348\) | −1.31376 | + | 12.0216i | −0.0704247 | + | 0.644427i | ||||
\(349\) | 24.1751i | 1.29406i | 0.762463 | + | 0.647032i | \(0.223990\pi\) | ||||
−0.762463 | + | 0.647032i | \(0.776010\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.1888 | − | 4.80540i | −0.757340 | − | 0.256493i | ||||
\(352\) | − | 22.5347i | − | 1.20110i | ||||||
\(353\) | 32.1044i | 1.70875i | 0.519660 | + | 0.854373i | \(0.326058\pi\) | ||||
−0.519660 | + | 0.854373i | \(0.673942\pi\) | |||||||
\(354\) | 1.54269 | + | 0.168590i | 0.0819932 | + | 0.00896043i | ||||
\(355\) | 5.29661 | − | 9.36638i | 0.281115 | − | 0.497116i | ||||
\(356\) | −12.3263 | −0.653295 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.9897i | 0.580825i | ||||||||
\(359\) | 17.0670i | 0.900764i | 0.892836 | + | 0.450382i | \(0.148712\pi\) | ||||
−0.892836 | + | 0.450382i | \(0.851288\pi\) | |||||||
\(360\) | 14.3471 | + | 12.9006i | 0.756161 | + | 0.679923i | ||||
\(361\) | −13.5700 | −0.714210 | ||||||||
\(362\) | 14.6136i | 0.768071i | ||||||||
\(363\) | −9.50284 | − | 1.03850i | −0.498770 | − | 0.0545069i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.09119 | + | 0.617061i | 0.0571157 | + | 0.0322984i | ||||
\(366\) | 1.04787 | − | 9.58861i | 0.0547730 | − | 0.501205i | ||||
\(367\) | 15.6751 | 0.818231 | 0.409116 | − | 0.912483i | \(-0.365837\pi\) | ||||
0.409116 | + | 0.912483i | \(0.365837\pi\) | |||||||
\(368\) | 0.375709 | 0.0195852 | ||||||||
\(369\) | 26.7214 | + | 5.91095i | 1.39106 | + | 0.307712i | ||||
\(370\) | −1.59059 | + | 2.81275i | −0.0826907 | + | 0.146228i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.416753 | − | 3.81353i | 0.0216076 | − | 0.197722i | ||||
\(373\) | 1.04874i | 0.0543017i | 0.999631 | + | 0.0271508i | \(0.00864345\pi\) | ||||
−0.999631 | + | 0.0271508i | \(0.991357\pi\) | |||||||
\(374\) | 24.4839 | 1.26603 | ||||||||
\(375\) | −1.58677 | + | 19.2998i | −0.0819405 | + | 0.996637i | ||||
\(376\) | 19.8875i | 1.02562i | ||||||||
\(377\) | 17.0012i | 0.875604i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −19.7185 | −1.01287 | −0.506436 | − | 0.862278i | \(-0.669037\pi\) | ||||
−0.506436 | + | 0.862278i | \(0.669037\pi\) | |||||||
\(380\) | −7.43727 | + | 13.1519i | −0.381524 | + | 0.674676i | ||||
\(381\) | 4.19383 | − | 38.3760i | 0.214856 | − | 1.96606i | ||||
\(382\) | − | 7.47777i | − | 0.382596i | ||||||
\(383\) | 2.75894i | 0.140975i | 0.997513 | + | 0.0704876i | \(0.0224555\pi\) | ||||
−0.997513 | + | 0.0704876i | \(0.977544\pi\) | |||||||
\(384\) | 10.5866 | + | 1.15693i | 0.540244 | + | 0.0590392i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.3860i | 0.732227i | ||||||||
\(387\) | −4.88145 | + | 22.0673i | −0.248138 | + | 1.12174i | ||||
\(388\) | −17.2115 | −0.873783 | ||||||||
\(389\) | 31.9024i | 1.61752i | 0.588141 | + | 0.808758i | \(0.299860\pi\) | ||||
−0.588141 | + | 0.808758i | \(0.700140\pi\) | |||||||
\(390\) | 8.18852 | + | 5.88936i | 0.414642 | + | 0.298219i | ||||
\(391\) | − | 10.8822i | − | 0.550339i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.196593 | + | 0.0214842i | 0.00991682 | + | 0.00108374i | ||||
\(394\) | 21.5661 | 1.08648 | ||||||||
\(395\) | 7.39339 | + | 4.18090i | 0.372002 | + | 0.210364i | ||||
\(396\) | 3.11806 | − | 14.0957i | 0.156688 | − | 0.708333i | ||||
\(397\) | 18.8205 | 0.944572 | 0.472286 | − | 0.881445i | \(-0.343429\pi\) | ||||
0.472286 | + | 0.881445i | \(0.343429\pi\) | |||||||
\(398\) | 11.0454i | 0.553654i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.593317 | − | 0.986494i | −0.0296658 | − | 0.0493247i | ||||
\(401\) | 3.28917i | 0.164253i | 0.996622 | + | 0.0821266i | \(0.0261712\pi\) | ||||
−0.996622 | + | 0.0821266i | \(0.973829\pi\) | |||||||
\(402\) | −1.71509 | + | 15.6941i | −0.0855410 | + | 0.782750i | ||||
\(403\) | − | 5.39314i | − | 0.268652i | ||||||
\(404\) | 16.3358 | 0.812735 | ||||||||
\(405\) | 11.7051 | + | 16.3704i | 0.581633 | + | 0.813452i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.50190 | 0.322287 | ||||||||
\(408\) | −3.60904 | + | 33.0248i | −0.178674 | + | 1.63497i | ||||
\(409\) | 4.14914i | 0.205162i | 0.994725 | + | 0.102581i | \(0.0327100\pi\) | ||||
−0.994725 | + | 0.102581i | \(0.967290\pi\) | |||||||
\(410\) | −16.0397 | − | 9.07031i | −0.792143 | − | 0.447951i | ||||
\(411\) | 21.5978 | + | 2.36027i | 1.06534 | + | 0.116423i | ||||
\(412\) | −9.84311 | −0.484935 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 4.31797 | + | 0.955165i | 0.212217 | + | 0.0469438i | ||||
\(415\) | 4.40746 | − | 7.79403i | 0.216354 | − | 0.382594i | ||||
\(416\) | 15.9845 | 0.783706 | ||||||||
\(417\) | −0.447150 | + | 4.09169i | −0.0218970 | + | 0.200371i | ||||
\(418\) | −20.9533 | −1.02486 | ||||||||
\(419\) | −22.6231 | −1.10521 | −0.552606 | − | 0.833443i | \(-0.686367\pi\) | ||||
−0.552606 | + | 0.833443i | \(0.686367\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.9233 | 1.55584 | 0.777922 | − | 0.628360i | \(-0.216274\pi\) | ||||
0.777922 | + | 0.628360i | \(0.216274\pi\) | |||||||
\(422\) | −17.0406 | −0.829524 | ||||||||
\(423\) | −4.48028 | + | 20.2538i | −0.217839 | + | 0.984772i | ||||
\(424\) | −4.36796 | −0.212127 | ||||||||
\(425\) | −28.5734 | + | 17.1852i | −1.38601 | + | 0.833603i | ||||
\(426\) | −0.817941 | + | 7.48464i | −0.0396294 | + | 0.362632i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.7125 | 0.614481 | ||||||||
\(429\) | 2.20480 | − | 20.1752i | 0.106449 | − | 0.974068i | ||||
\(430\) | 7.49054 | − | 13.2461i | 0.361226 | − | 0.638782i | ||||
\(431\) | − | 25.0448i | − | 1.20636i | −0.797604 | − | 0.603182i | \(-0.793899\pi\) | ||
0.797604 | − | 0.603182i | \(-0.206101\pi\) | |||||||
\(432\) | −1.13311 | − | 0.383758i | −0.0545168 | − | 0.0184636i | ||||
\(433\) | −5.10220 | −0.245196 | −0.122598 | − | 0.992456i | \(-0.539123\pi\) | ||||
−0.122598 | + | 0.992456i | \(0.539123\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.3356 | − | 18.5417i | 0.639392 | − | 0.889006i | ||||
\(436\) | −0.635412 | −0.0304307 | ||||||||
\(437\) | 9.31302i | 0.445502i | ||||||||
\(438\) | −0.871968 | − | 0.0952910i | −0.0416643 | − | 0.00455318i | ||||
\(439\) | − | 11.2880i | − | 0.538746i | −0.963036 | − | 0.269373i | \(-0.913184\pi\) | ||
0.963036 | − | 0.269373i | \(-0.0868165\pi\) | |||||||
\(440\) | −12.8669 | + | 22.7535i | −0.613407 | + | 1.08473i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.3672i | 0.826073i | ||||||||
\(443\) | 21.9182 | 1.04136 | 0.520681 | − | 0.853751i | \(-0.325678\pi\) | ||||
0.520681 | + | 0.853751i | \(0.325678\pi\) | |||||||
\(444\) | −0.356389 | + | 3.26117i | −0.0169135 | + | 0.154768i | ||||
\(445\) | 20.2640 | + | 11.4591i | 0.960604 | + | 0.543214i | ||||
\(446\) | 17.4145 | 0.824601 | ||||||||
\(447\) | 3.09875 | − | 28.3554i | 0.146566 | − | 1.34116i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 0.449397i | − | 0.0212083i | −0.999944 | − | 0.0106042i | \(-0.996625\pi\) | ||
0.999944 | − | 0.0106042i | \(-0.00337548\pi\) | |||||||
\(450\) | −4.31094 | − | 12.8460i | −0.203220 | − | 0.605568i | ||||
\(451\) | 37.0770i | 1.74589i | ||||||||
\(452\) | 14.3295 | 0.674004 | ||||||||
\(453\) | −22.6370 | − | 2.47383i | −1.06358 | − | 0.116231i | ||||
\(454\) | 10.3900i | 0.487625i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.08861 | − | 28.2626i | 0.144638 | − | 1.32352i | ||||
\(457\) | − | 9.29288i | − | 0.434702i | −0.976093 | − | 0.217351i | \(-0.930258\pi\) | ||
0.976093 | − | 0.217351i | \(-0.0697417\pi\) | |||||||
\(458\) | − | 15.6939i | − | 0.733328i | ||||||
\(459\) | −11.1154 | + | 32.8201i | −0.518823 | + | 1.53191i | ||||
\(460\) | 3.76062 | + | 2.12660i | 0.175340 | + | 0.0991533i | ||||
\(461\) | 20.8668 | 0.971863 | 0.485931 | − | 0.873997i | \(-0.338481\pi\) | ||||
0.485931 | + | 0.873997i | \(0.338481\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.45294i | 0.113998i | 0.998374 | + | 0.0569989i | \(0.0181532\pi\) | ||||
−0.998374 | + | 0.0569989i | \(0.981847\pi\) | |||||||
\(464\) | 1.35771i | 0.0630300i | ||||||||
\(465\) | −4.23034 | + | 5.88184i | −0.196178 | + | 0.272764i | ||||
\(466\) | −0.418110 | −0.0193686 | ||||||||
\(467\) | − | 7.97995i | − | 0.369268i | −0.982807 | − | 0.184634i | \(-0.940890\pi\) | ||
0.982807 | − | 0.184634i | \(-0.0591100\pi\) | |||||||
\(468\) | 9.99847 | + | 2.21173i | 0.462179 | + | 0.102237i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 6.87495 | − | 12.1575i | 0.317118 | − | 0.560782i | ||||
\(471\) | 5.48932 | + | 0.599887i | 0.252935 | + | 0.0276414i | ||||
\(472\) | −2.85277 | −0.131309 | ||||||||
\(473\) | −30.6193 | −1.40788 | ||||||||
\(474\) | −5.90803 | − | 0.645645i | −0.271365 | − | 0.0296555i | ||||
\(475\) | 24.4531 | − | 14.7071i | 1.12198 | − | 0.674806i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.44841 | − | 0.984021i | −0.203679 | − | 0.0450552i | ||||
\(478\) | 15.6327i | 0.715023i | ||||||||
\(479\) | −13.8929 | −0.634784 | −0.317392 | − | 0.948294i | \(-0.602807\pi\) | ||||
−0.317392 | + | 0.948294i | \(0.602807\pi\) | |||||||
\(480\) | −17.4329 | − | 12.5381i | −0.795702 | − | 0.572286i | ||||
\(481\) | 4.61199i | 0.210289i | ||||||||
\(482\) | − | 3.86574i | − | 0.176080i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.53454 | 0.297024 | ||||||||
\(485\) | 28.2950 | + | 16.0006i | 1.28481 | + | 0.726549i | ||||
\(486\) | −12.0471 | − | 7.29119i | −0.546465 | − | 0.330735i | ||||
\(487\) | 26.5108i | 1.20132i | 0.799505 | + | 0.600659i | \(0.205095\pi\) | ||||
−0.799505 | + | 0.600659i | \(0.794905\pi\) | |||||||
\(488\) | 17.7314i | 0.802663i | ||||||||
\(489\) | 3.62767 | − | 33.1953i | 0.164049 | − | 1.50114i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.54611i | 0.114905i | 0.998348 | + | 0.0574523i | \(0.0182977\pi\) | ||||
−0.998348 | + | 0.0574523i | \(0.981702\pi\) | |||||||
\(492\) | −18.5968 | − | 2.03231i | −0.838408 | − | 0.0916234i | ||||
\(493\) | 39.3255 | 1.77113 | ||||||||
\(494\) | − | 14.8628i | − | 0.668710i | ||||||
\(495\) | −18.2299 | + | 20.2739i | −0.819372 | + | 0.911246i | ||||
\(496\) | − | 0.430695i | − | 0.0193388i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.680632 | + | 6.22818i | −0.0304999 | + | 0.279091i | ||||
\(499\) | 29.6496 | 1.32730 | 0.663649 | − | 0.748044i | \(-0.269007\pi\) | ||||
0.663649 | + | 0.748044i | \(0.269007\pi\) | |||||||
\(500\) | −0.354958 | − | 13.2325i | −0.0158742 | − | 0.591777i | ||||
\(501\) | −0.166320 | + | 1.52192i | −0.00743061 | + | 0.0679945i | ||||
\(502\) | 15.7312 | 0.702118 | ||||||||
\(503\) | − | 31.2378i | − | 1.39283i | −0.717642 | − | 0.696413i | \(-0.754778\pi\) | ||
0.717642 | − | 0.696413i | \(-0.245222\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −26.8553 | − | 15.1864i | −1.19504 | − | 0.675787i | ||||
\(506\) | 5.99136i | 0.266349i | ||||||||
\(507\) | −8.07252 | − | 0.882186i | −0.358513 | − | 0.0391793i | ||||
\(508\) | 26.3889i | 1.17082i | ||||||||
\(509\) | −38.0143 | −1.68496 | −0.842478 | − | 0.538731i | \(-0.818904\pi\) | ||||
−0.842478 | + | 0.538731i | \(0.818904\pi\) | |||||||
\(510\) | 13.6227 | − | 18.9409i | 0.603223 | − | 0.838717i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 2.60093 | 0.114946 | ||||||||
\(513\) | 9.51255 | − | 28.0874i | 0.419989 | − | 1.24009i | ||||
\(514\) | − | 13.9260i | − | 0.614248i | ||||||
\(515\) | 16.1816 | + | 9.15058i | 0.713048 | + | 0.403223i | ||||
\(516\) | 1.67834 | − | 15.3578i | 0.0738848 | − | 0.676089i | ||||
\(517\) | −28.1030 | −1.23597 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.35507 | − | 21.5503i | 0.103376 | − | 0.945953i | ||||
\(520\) | −16.1397 | − | 9.12690i | −0.707775 | − | 0.400241i | ||||
\(521\) | 39.1414 | 1.71481 | 0.857407 | − | 0.514639i | \(-0.172074\pi\) | ||||
0.857407 | + | 0.514639i | \(0.172074\pi\) | |||||||
\(522\) | −3.45170 | + | 15.6040i | −0.151077 | + | 0.682966i | ||||
\(523\) | 7.97176 | 0.348581 | 0.174290 | − | 0.984694i | \(-0.444237\pi\) | ||||
0.174290 | + | 0.984694i | \(0.444237\pi\) | |||||||
\(524\) | −0.135186 | −0.00590561 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.61127 | 0.244663 | ||||||||
\(527\) | −12.4749 | −0.543416 | ||||||||
\(528\) | 0.176075 | − | 1.61119i | 0.00766267 | − | 0.0701179i | ||||
\(529\) | −20.3371 | −0.884220 | ||||||||
\(530\) | 2.67019 | + | 1.50997i | 0.115986 | + | 0.0655890i | ||||
\(531\) | −2.90532 | − | 0.642677i | −0.126080 | − | 0.0278898i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −26.2998 | −1.13917 | ||||||||
\(534\) | −16.1929 | − | 1.76960i | −0.700734 | − | 0.0765780i | ||||
\(535\) | −20.8987 | − | 11.8181i | −0.903531 | − | 0.510940i | ||||
\(536\) | − | 29.0217i | − | 1.25355i | ||||||
\(537\) | 2.28913 | − | 20.9469i | 0.0987831 | − | 0.903923i | ||||
\(538\) | −5.41163 | −0.233312 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −9.16960 | − | 10.2549i | −0.394597 | − | 0.441299i | ||||
\(541\) | −8.08347 | −0.347536 | −0.173768 | − | 0.984787i | \(-0.555594\pi\) | ||||
−0.173768 | + | 0.984787i | \(0.555594\pi\) | |||||||
\(542\) | − | 5.64148i | − | 0.242323i | ||||||
\(543\) | 3.04396 | − | 27.8540i | 0.130629 | − | 1.19533i | ||||
\(544\) | − | 36.9739i | − | 1.58524i | ||||||
\(545\) | 1.04459 | + | 0.590707i | 0.0447453 | + | 0.0253031i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 37.0430i | 1.58384i | 0.610623 | + | 0.791922i | \(0.290919\pi\) | ||||
−0.610623 | + | 0.791922i | \(0.709081\pi\) | |||||||
\(548\) | −14.8515 | −0.634426 | ||||||||
\(549\) | −3.99456 | + | 18.0580i | −0.170484 | + | 0.770697i | ||||
\(550\) | 15.7314 | − | 9.46152i | 0.670791 | − | 0.403441i | ||||
\(551\) | −33.6547 | −1.43374 | ||||||||
\(552\) | −8.08137 | − | 0.883153i | −0.343966 | − | 0.0375895i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.86288i | 0.334062i | ||||||||
\(555\) | 3.61761 | − | 5.02990i | 0.153559 | − | 0.213507i | ||||
\(556\) | − | 2.81361i | − | 0.119324i | ||||||
\(557\) | −8.88856 | −0.376620 | −0.188310 | − | 0.982110i | \(-0.560301\pi\) | ||||
−0.188310 | + | 0.982110i | \(0.560301\pi\) | |||||||
\(558\) | 1.09496 | − | 4.94992i | 0.0463533 | − | 0.209547i | ||||
\(559\) | − | 21.7192i | − | 0.918624i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −46.6674 | − | 5.09993i | −1.97030 | − | 0.215319i | ||||
\(562\) | 3.94103i | 0.166242i | ||||||||
\(563\) | − | 39.4078i | − | 1.66084i | −0.557136 | − | 0.830421i | \(-0.688100\pi\) | ||
0.557136 | − | 0.830421i | \(-0.311900\pi\) | |||||||
\(564\) | 1.54041 | − | 14.0957i | 0.0648630 | − | 0.593534i | ||||
\(565\) | −23.5571 | − | 13.3213i | −0.991054 | − | 0.560433i | ||||
\(566\) | −6.79378 | −0.285564 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 13.8407i | − | 0.580744i | ||||||
\(569\) | 17.4528i | 0.731659i | 0.930682 | + | 0.365830i | \(0.119215\pi\) | ||||
−0.930682 | + | 0.365830i | \(0.880785\pi\) | |||||||
\(570\) | −11.6583 | + | 16.2096i | −0.488312 | + | 0.678945i | ||||
\(571\) | −19.3889 | −0.811399 | −0.405700 | − | 0.914006i | \(-0.632972\pi\) | ||||
−0.405700 | + | 0.914006i | \(0.632972\pi\) | |||||||
\(572\) | 13.8733i | 0.580071i | ||||||||
\(573\) | −1.55760 | + | 14.2529i | −0.0650696 | + | 0.595425i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.20531 | − | 6.99207i | −0.175374 | − | 0.291590i | ||||
\(576\) | 16.0197 | + | 3.54367i | 0.667486 | + | 0.147653i | ||||
\(577\) | −41.7306 | −1.73727 | −0.868633 | − | 0.495455i | \(-0.835001\pi\) | ||||
−0.868633 | + | 0.495455i | \(0.835001\pi\) | |||||||
\(578\) | 24.8154 | 1.03218 | ||||||||
\(579\) | 2.99656 | − | 27.4203i | 0.124533 | − | 1.13955i | ||||
\(580\) | −7.68495 | + | 13.5899i | −0.319100 | + | 0.564288i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −22.6104 | − | 2.47093i | −0.937232 | − | 0.102423i | ||||
\(583\) | − | 6.17236i | − | 0.255633i | ||||||
\(584\) | 1.61246 | 0.0667240 | ||||||||
\(585\) | −14.3809 | − | 12.9310i | −0.594577 | − | 0.534631i | ||||
\(586\) | 0.0956500i | 0.00395126i | ||||||||
\(587\) | − | 19.5477i | − | 0.806820i | −0.915019 | − | 0.403410i | \(-0.867825\pi\) | ||
0.915019 | − | 0.403410i | \(-0.132175\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.6760 | 0.439897 | ||||||||
\(590\) | 1.74394 | + | 0.986182i | 0.0717967 | + | 0.0406005i | ||||
\(591\) | −41.1059 | − | 4.49216i | −1.69087 | − | 0.184783i | ||||
\(592\) | 0.368312i | 0.0151375i | ||||||||
\(593\) | 2.63145i | 0.108061i | 0.998539 | + | 0.0540303i | \(0.0172067\pi\) | ||||
−0.998539 | + | 0.0540303i | \(0.982793\pi\) | |||||||
\(594\) | 6.11973 | − | 18.0695i | 0.251096 | − | 0.741401i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 19.4983i | 0.798683i | ||||||||
\(597\) | 2.30072 | − | 21.0529i | 0.0941621 | − | 0.861639i | ||||
\(598\) | −4.24985 | −0.173789 | ||||||||
\(599\) | − | 31.2146i | − | 1.27539i | −0.770287 | − | 0.637697i | \(-0.779887\pi\) | ||
0.770287 | − | 0.637697i | \(-0.220113\pi\) | |||||||
\(600\) | 10.4432 | + | 22.6138i | 0.426340 | + | 0.923205i | ||||
\(601\) | 15.6798i | 0.639593i | 0.947486 | + | 0.319797i | \(0.103615\pi\) | ||||
−0.947486 | + | 0.319797i | \(0.896385\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.53806 | − | 29.5563i | 0.266251 | − | 1.20363i | ||||
\(604\) | 15.5661 | 0.633376 | ||||||||
\(605\) | −10.7425 | − | 6.07479i | −0.436744 | − | 0.246975i | ||||
\(606\) | 21.4599 | + | 2.34520i | 0.871751 | + | 0.0952672i | ||||
\(607\) | 4.81384 | 0.195388 | 0.0976940 | − | 0.995217i | \(-0.468853\pi\) | ||||
0.0976940 | + | 0.995217i | \(0.468853\pi\) | |||||||
\(608\) | 31.6422i | 1.28326i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.12962 | − | 10.8394i | 0.248181 | − | 0.438876i | ||||
\(611\) | − | 19.9343i | − | 0.806454i | ||||||
\(612\) | 5.11597 | − | 23.1275i | 0.206801 | − | 0.934874i | ||||
\(613\) | − | 40.0717i | − | 1.61848i | −0.587478 | − | 0.809240i | \(-0.699879\pi\) | ||
0.587478 | − | 0.809240i | \(-0.300121\pi\) | |||||||
\(614\) | −8.41253 | −0.339502 | ||||||||
\(615\) | 28.6830 | + | 20.6294i | 1.15661 | + | 0.831857i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.4205 | 0.741583 | 0.370791 | − | 0.928716i | \(-0.379087\pi\) | ||||
0.370791 | + | 0.928716i | \(0.379087\pi\) | |||||||
\(618\) | −12.9307 | − | 1.41310i | −0.520149 | − | 0.0568432i | ||||
\(619\) | − | 11.0209i | − | 0.442968i | −0.975164 | − | 0.221484i | \(-0.928910\pi\) | ||
0.975164 | − | 0.221484i | \(-0.0710901\pi\) | |||||||
\(620\) | 2.43784 | − | 4.31100i | 0.0979059 | − | 0.173134i | ||||
\(621\) | −8.03126 | − | 2.72000i | −0.322284 | − | 0.109150i | ||||
\(622\) | −22.8674 | −0.916899 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.14286 | + | 0.124895i | 0.0457512 | + | 0.00499981i | ||||
\(625\) | −11.7180 | + | 22.0837i | −0.468720 | + | 0.883347i | ||||
\(626\) | −6.91038 | −0.276194 | ||||||||
\(627\) | 39.9379 | + | 4.36452i | 1.59497 | + | 0.174302i | ||||
\(628\) | −3.77468 | −0.150626 | ||||||||
\(629\) | 10.6680 | 0.425362 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.0604 | 0.639355 | 0.319678 | − | 0.947526i | \(-0.396425\pi\) | ||||
0.319678 | + | 0.947526i | \(0.396425\pi\) | |||||||
\(632\) | 10.9252 | 0.434582 | ||||||||
\(633\) | 32.4801 | + | 3.54951i | 1.29097 | + | 0.141080i | ||||
\(634\) | −22.3545 | −0.887809 | ||||||||
\(635\) | 24.5322 | − | 43.3821i | 0.973532 | − | 1.72157i | ||||
\(636\) | 3.09588 | + | 0.338326i | 0.122760 | + | 0.0134155i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −21.6511 | −0.857177 | ||||||||
\(639\) | 3.11806 | − | 14.0957i | 0.123348 | − | 0.557615i | ||||
\(640\) | 11.9676 | + | 6.76757i | 0.473060 | + | 0.267512i | ||||
\(641\) | 39.7927i | 1.57172i | 0.618405 | + | 0.785859i | \(0.287779\pi\) | ||||
−0.618405 | + | 0.785859i | \(0.712221\pi\) | |||||||
\(642\) | 16.7001 | + | 1.82503i | 0.659100 | + | 0.0720282i | ||||
\(643\) | −22.4164 | −0.884016 | −0.442008 | − | 0.897011i | \(-0.645734\pi\) | ||||
−0.442008 | + | 0.897011i | \(0.645734\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −17.0364 | + | 23.6873i | −0.670807 | + | 0.932685i | ||||
\(646\) | −34.3793 | −1.35263 | ||||||||
\(647\) | − | 25.5715i | − | 1.00532i | −0.864484 | − | 0.502660i | \(-0.832355\pi\) | ||
0.864484 | − | 0.502660i | \(-0.167645\pi\) | |||||||
\(648\) | 23.4708 | + | 10.9180i | 0.922018 | + | 0.428901i | ||||
\(649\) | − | 4.03125i | − | 0.158240i | ||||||
\(650\) | 6.71134 | + | 11.1588i | 0.263240 | + | 0.437684i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22.8264i | 0.893952i | ||||||||
\(653\) | 16.9984 | 0.665199 | 0.332600 | − | 0.943068i | \(-0.392074\pi\) | ||||
0.332600 | + | 0.943068i | \(0.392074\pi\) | |||||||
\(654\) | −0.834728 | − | 0.0912212i | −0.0326404 | − | 0.00356703i | ||||
\(655\) | 0.222239 | + | 0.125674i | 0.00868359 | + | 0.00491050i | ||||
\(656\) | −2.10030 | −0.0820029 | ||||||||
\(657\) | 1.64216 | + | 0.363257i | 0.0640667 | + | 0.0141720i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 2.82840i | − | 0.110179i | −0.998481 | − | 0.0550894i | \(-0.982456\pi\) | ||
0.998481 | − | 0.0550894i | \(-0.0175444\pi\) | |||||||
\(660\) | 10.8821 | − | 15.1304i | 0.423586 | − | 0.588950i | ||||
\(661\) | 14.5840i | 0.567252i | 0.958935 | + | 0.283626i | \(0.0915374\pi\) | ||||
−0.958935 | + | 0.283626i | \(0.908463\pi\) | |||||||
\(662\) | 14.7752 | 0.574254 | ||||||||
\(663\) | 3.61754 | − | 33.1026i | 0.140493 | − | 1.28560i | ||||
\(664\) | − | 11.5172i | − | 0.446956i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.936361 | + | 4.23296i | −0.0362833 | + | 0.164024i | ||||
\(667\) | 9.62317i | 0.372611i | ||||||||
\(668\) | − | 1.04654i | − | 0.0404917i | ||||||
\(669\) | −33.1927 | − | 3.62739i | −1.28331 | − | 0.140243i | ||||
\(670\) | −10.0326 | + | 17.7414i | −0.387593 | + | 0.685409i | ||||
\(671\) | −25.0563 | −0.967286 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.2666i | 0.511390i | 0.966757 | + | 0.255695i | \(0.0823043\pi\) | ||||
−0.966757 | + | 0.255695i | \(0.917696\pi\) | |||||||
\(674\) | 3.24530i | 0.125004i | ||||||||
\(675\) | 5.54104 | + | 25.3830i | 0.213275 | + | 0.976992i | ||||
\(676\) | 5.55099 | 0.213500 | ||||||||
\(677\) | − | 27.3389i | − | 1.05072i | −0.850880 | − | 0.525360i | \(-0.823931\pi\) | ||
0.850880 | − | 0.525360i | \(-0.176069\pi\) | |||||||
\(678\) | 18.8244 | + | 2.05718i | 0.722946 | + | 0.0790055i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −21.1115 | + | 37.3329i | −0.809588 | + | 1.43165i | ||||
\(681\) | 2.16420 | − | 19.8037i | 0.0829323 | − | 0.758879i | ||||
\(682\) | 6.86822 | 0.262998 | ||||||||
\(683\) | −5.07338 | −0.194127 | −0.0970637 | − | 0.995278i | \(-0.530945\pi\) | ||||
−0.0970637 | + | 0.995278i | \(0.530945\pi\) | |||||||
\(684\) | −4.37824 | + | 19.7925i | −0.167406 | + | 0.756785i | ||||
\(685\) | 24.4153 | + | 13.8066i | 0.932859 | + | 0.527524i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.26900 | + | 29.9132i | −0.124720 | + | 1.14126i | ||||
\(688\) | − | 1.73449i | − | 0.0661268i | ||||||
\(689\) | 4.37824 | 0.166798 | ||||||||
\(690\) | 4.63495 | + | 3.33355i | 0.176449 | + | 0.126906i | ||||
\(691\) | 34.2569i | 1.30319i | 0.758566 | + | 0.651596i | \(0.225900\pi\) | ||||
−0.758566 | + | 0.651596i | \(0.774100\pi\) | |||||||
\(692\) | 14.8189i | 0.563329i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.0991 | 0.649073 | ||||||||
\(695\) | −2.61565 | + | 4.62545i | −0.0992173 | + | 0.175453i | ||||
\(696\) | 3.19147 | − | 29.2038i | 0.120972 | − | 1.10697i | ||||
\(697\) | 60.8343i | 2.30426i | ||||||||
\(698\) | − | 21.8383i | − | 0.826592i | ||||||
\(699\) | 0.796935 | + | 0.0870911i | 0.0301428 | + | 0.00329409i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 17.6912i | 0.668188i | 0.942540 | + | 0.334094i | \(0.108430\pi\) | ||||
−0.942540 | + | 0.334094i | \(0.891570\pi\) | |||||||
\(702\) | 12.8172 | + | 4.34091i | 0.483756 | + | 0.163837i | ||||
\(703\) | −9.12967 | −0.344332 | ||||||||
\(704\) | 22.2280i | 0.837748i | ||||||||
\(705\) | −15.6363 | + | 21.7406i | −0.588897 | + | 0.818798i | ||||
\(706\) | − | 29.0012i | − | 1.09147i | ||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 2.02196 | + | 0.220965i | 0.0759900 | + | 0.00830439i | ||||
\(709\) | 15.6175 | 0.586527 | 0.293264 | − | 0.956032i | \(-0.405259\pi\) | ||||
0.293264 | + | 0.956032i | \(0.405259\pi\) | |||||||
\(710\) | −4.78463 | + | 8.46101i | −0.179564 | + | 0.317536i | ||||
\(711\) | 11.1265 | + | 2.46125i | 0.417275 | + | 0.0923041i | ||||
\(712\) | 29.9441 | 1.12220 | ||||||||
\(713\) | − | 3.05268i | − | 0.114324i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.8972 | − | 22.8071i | 0.482328 | − | 0.852936i | ||||
\(716\) | 14.4039i | 0.538299i | ||||||||
\(717\) | 3.25625 | − | 29.7966i | 0.121607 | − | 1.11277i | ||||
\(718\) | − | 15.4173i | − | 0.575369i | ||||||
\(719\) | −16.1436 | −0.602054 | −0.301027 | − | 0.953616i | \(-0.597329\pi\) | ||||
−0.301027 | + | 0.953616i | \(0.597329\pi\) | |||||||
\(720\) | −1.14846 | − | 1.03267i | −0.0428004 | − | 0.0384852i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 12.2583 | 0.456207 | ||||||||
\(723\) | −0.805223 | + | 7.36826i | −0.0299466 | + | 0.274029i | ||||
\(724\) | 19.1536i | 0.711836i | ||||||||
\(725\) | 25.2674 | − | 15.1968i | 0.938409 | − | 0.564396i | ||||
\(726\) | 8.58428 | + | 0.938113i | 0.318592 | + | 0.0348166i | ||||
\(727\) | −16.8426 | −0.624657 | −0.312329 | − | 0.949974i | \(-0.601109\pi\) | ||||
−0.312329 | + | 0.949974i | \(0.601109\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 21.4434 | + | 16.4067i | 0.794201 | + | 0.607655i | ||||
\(730\) | −0.985717 | − | 0.557415i | −0.0364830 | − | 0.0206309i | ||||
\(731\) | −50.2388 | −1.85815 | ||||||||
\(732\) | 1.37341 | − | 12.5675i | 0.0507627 | − | 0.464509i | ||||
\(733\) | −22.1743 | −0.819028 | −0.409514 | − | 0.912304i | \(-0.634302\pi\) | ||||
−0.409514 | + | 0.912304i | \(0.634302\pi\) | |||||||
\(734\) | −14.1599 | −0.522651 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.04773 | 0.333504 | ||||||||
\(737\) | 41.0106 | 1.51065 | ||||||||
\(738\) | −24.1384 | − | 5.33959i | −0.888548 | − | 0.196553i | ||||
\(739\) | 42.4525 | 1.56164 | 0.780820 | − | 0.624757i | \(-0.214802\pi\) | ||||
0.780820 | + | 0.624757i | \(0.214802\pi\) | |||||||
\(740\) | −2.08474 | + | 3.68659i | −0.0766364 | + | 0.135522i | ||||
\(741\) | −3.09588 | + | 28.3291i | −0.113730 | + | 1.04070i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.5486 | −0.900600 | −0.450300 | − | 0.892877i | \(-0.648683\pi\) | ||||
−0.450300 | + | 0.892877i | \(0.648683\pi\) | |||||||
\(744\) | −1.01241 | + | 9.26411i | −0.0371166 | + | 0.339639i | ||||
\(745\) | 18.1265 | − | 32.0544i | 0.664103 | − | 1.17438i | ||||
\(746\) | − | 0.947367i | − | 0.0346856i | ||||||
\(747\) | 2.59462 | − | 11.7294i | 0.0949323 | − | 0.429156i | ||||
\(748\) | 32.0904 | 1.17334 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1.43339 | − | 17.4343i | 0.0523401 | − | 0.636609i | ||||
\(751\) | 25.3766 | 0.926006 | 0.463003 | − | 0.886357i | \(-0.346772\pi\) | ||||
0.463003 | + | 0.886357i | \(0.346772\pi\) | |||||||
\(752\) | − | 1.59195i | − | 0.0580523i | ||||||
\(753\) | −29.9843 | − | 3.27676i | −1.09269 | − | 0.119412i | ||||
\(754\) | − | 15.3578i | − | 0.559298i | ||||||
\(755\) | −25.5900 | − | 14.4709i | −0.931314 | − | 0.526651i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.9214i | 0.687709i | 0.939023 | + | 0.343854i | \(0.111733\pi\) | ||||
−0.939023 | + | 0.343854i | \(0.888267\pi\) | |||||||
\(758\) | 17.8125 | 0.646979 | ||||||||
\(759\) | 1.24798 | − | 11.4198i | 0.0452989 | − | 0.414512i | ||||
\(760\) | 18.0672 | − | 31.9495i | 0.655365 | − | 1.15893i | ||||
\(761\) | 10.2582 | 0.371859 | 0.185929 | − | 0.982563i | \(-0.440470\pi\) | ||||
0.185929 | + | 0.982563i | \(0.440470\pi\) | |||||||
\(762\) | −3.78845 | + | 34.6665i | −0.137241 | + | 1.25583i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 9.80090i | − | 0.354584i | ||||||
\(765\) | −29.9107 | + | 33.2645i | −1.08143 | + | 1.20268i | ||||
\(766\) | − | 2.49226i | − | 0.0900489i | ||||||
\(767\) | 2.85949 | 0.103250 | ||||||||
\(768\) | −28.3962 | − | 3.10321i | −1.02466 | − | 0.111978i | ||||
\(769\) | 17.8947i | 0.645298i | 0.946519 | + | 0.322649i | \(0.104573\pi\) | ||||
−0.946519 | + | 0.322649i | \(0.895427\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.90074 | + | 26.5434i | −0.104468 | + | 0.955939i | ||||
\(772\) | 18.8553i | 0.678616i | ||||||||
\(773\) | − | 10.3218i | − | 0.371251i | −0.982621 | − | 0.185626i | \(-0.940569\pi\) | ||
0.982621 | − | 0.185626i | \(-0.0594311\pi\) | |||||||
\(774\) | 4.40960 | − | 19.9343i | 0.158500 | − | 0.716522i | ||||
\(775\) | −8.01539 | + | 4.82078i | −0.287921 | + | 0.173167i | ||||
\(776\) | 41.8116 | 1.50095 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 28.8187i | − | 1.03320i | ||||||
\(779\) | − | 52.0619i | − | 1.86531i | ||||||
\(780\) | 10.7324 | + | 7.71901i | 0.384283 | + | 0.276385i | ||||
\(781\) | 19.5583 | 0.699851 | ||||||||
\(782\) | 9.83035i | 0.351533i | ||||||||
\(783\) | 9.82935 | − | 29.0228i | 0.351272 | − | 1.03719i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.20540 | + | 3.50911i | 0.221480 | + | 0.125245i | ||||
\(786\) | −0.177590 | − | 0.0194075i | −0.00633444 | − | 0.000692244i | ||||
\(787\) | −12.5268 | −0.446531 | −0.223265 | − | 0.974758i | \(-0.571672\pi\) | ||||
−0.223265 | + | 0.974758i | \(0.571672\pi\) | |||||||
\(788\) | 28.2661 | 1.00694 | ||||||||
\(789\) | −10.6953 | − | 1.16881i | −0.380763 | − | 0.0416108i | ||||
\(790\) | −6.67873 | − | 3.77677i | −0.237619 | − | 0.134371i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −7.57462 | + | 34.2422i | −0.269152 | + | 1.21674i | ||||
\(793\) | − | 17.7731i | − | 0.631143i | ||||||
\(794\) | −17.0012 | −0.603352 | ||||||||
\(795\) | −4.77497 | − | 3.43426i | −0.169351 | − | 0.121801i | ||||
\(796\) | 14.4768i | 0.513118i | ||||||||
\(797\) | 23.4184i | 0.829521i | 0.909931 | + | 0.414761i | \(0.136135\pi\) | ||||
−0.909931 | + | 0.414761i | \(0.863865\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −46.1100 | −1.63126 | ||||||||
\(800\) | −14.2881 | − | 23.7565i | −0.505161 | − | 0.839919i | ||||
\(801\) | 30.4956 | + | 6.74585i | 1.07751 | + | 0.238353i | ||||
\(802\) | − | 2.97123i | − | 0.104918i | ||||||
\(803\) | 2.27856i | 0.0804088i | ||||||||
\(804\) | −2.24792 | + | 20.5698i | −0.0792780 | + | 0.725440i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.87184i | 0.171603i | ||||||||
\(807\) | 10.3148 | + | 1.12723i | 0.363098 | + | 0.0396803i | ||||
\(808\) | −39.6841 | −1.39608 | ||||||||
\(809\) | − | 10.9751i | − | 0.385863i | −0.981212 | − | 0.192932i | \(-0.938200\pi\) | ||
0.981212 | − | 0.192932i | \(-0.0617995\pi\) | |||||||
\(810\) | −10.5737 | − | 14.7880i | −0.371522 | − | 0.519598i | ||||
\(811\) | 35.5390i | 1.24794i | 0.781448 | + | 0.623971i | \(0.214482\pi\) | ||||
−0.781448 | + | 0.623971i | \(0.785518\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.17511 | + | 10.7529i | −0.0412127 | + | 0.377121i | ||||
\(814\) | −5.87341 | −0.205863 | ||||||||
\(815\) | 21.2204 | − | 37.5256i | 0.743319 | − | 1.31446i | ||||
\(816\) | 0.288896 | − | 2.64356i | 0.0101134 | − | 0.0925432i | ||||
\(817\) | 42.9943 | 1.50418 | ||||||||
\(818\) | − | 3.74808i | − | 0.131048i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −21.0227 | − | 11.8882i | −0.734146 | − | 0.415154i | ||||
\(821\) | 45.6211i | 1.59219i | 0.605173 | + | 0.796094i | \(0.293104\pi\) | ||||
−0.605173 | + | 0.796094i | \(0.706896\pi\) | |||||||
\(822\) | −19.5102 | − | 2.13212i | −0.680495 | − | 0.0743663i | ||||
\(823\) | − | 13.8784i | − | 0.483769i | −0.970305 | − | 0.241885i | \(-0.922234\pi\) | ||
0.970305 | − | 0.241885i | \(-0.0777655\pi\) | |||||||
\(824\) | 23.9116 | 0.833001 | ||||||||
\(825\) | −31.9556 | + | 14.7572i | −1.11255 | + | 0.513781i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.3739 | −0.430283 | −0.215141 | − | 0.976583i | \(-0.569021\pi\) | ||||
−0.215141 | + | 0.976583i | \(0.569021\pi\) | |||||||
\(828\) | 5.65943 | + | 1.25191i | 0.196679 | + | 0.0435068i | ||||
\(829\) | 10.6696i | 0.370569i | 0.982685 | + | 0.185284i | \(0.0593206\pi\) | ||||
−0.982685 | + | 0.185284i | \(0.940679\pi\) | |||||||
\(830\) | −3.98143 | + | 7.04065i | −0.138197 | + | 0.244384i | ||||
\(831\) | 1.63781 | − | 14.9870i | 0.0568152 | − | 0.519892i | ||||
\(832\) | −15.7670 | −0.546621 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.403928 | − | 3.69618i | 0.0139869 | − | 0.127988i | ||||
\(835\) | −0.972905 | + | 1.72046i | −0.0336687 | + | 0.0595389i | ||||
\(836\) | −27.4629 | −0.949825 | ||||||||
\(837\) | −3.11809 | + | 9.20667i | −0.107777 | + | 0.318229i | ||||
\(838\) | 20.4363 | 0.705962 | ||||||||
\(839\) | 17.5497 | 0.605883 | 0.302941 | − | 0.953009i | \(-0.402031\pi\) | ||||
0.302941 | + | 0.953009i | \(0.402031\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.77548 | −0.199154 | ||||||||
\(842\) | −28.8375 | −0.993807 | ||||||||
\(843\) | 0.820905 | − | 7.51176i | 0.0282735 | − | 0.258719i | ||||
\(844\) | −22.3346 | −0.768789 | ||||||||
\(845\) | −9.12558 | − | 5.16044i | −0.313930 | − | 0.177525i | ||||
\(846\) | 4.04721 | − | 18.2960i | 0.139146 | − | 0.629030i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0.349645 | 0.0120069 | ||||||||
\(849\) | 12.9492 | + | 1.41513i | 0.444416 | + | 0.0485670i | ||||
\(850\) | 25.8114 | − | 15.5240i | 0.885325 | − | 0.532470i | ||||
\(851\) | 2.61053i | 0.0894876i | ||||||||
\(852\) | −1.07205 | + | 9.80990i | −0.0367279 | + | 0.336082i | ||||
\(853\) | 29.6157 | 1.01402 | 0.507011 | − | 0.861940i | \(-0.330750\pi\) | ||||
0.507011 | + | 0.861940i | \(0.330750\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 25.5976 | − | 28.4678i | 0.875419 | − | 0.973577i | ||||
\(856\) | −30.8821 | −1.05553 | ||||||||
\(857\) | 44.6019i | 1.52357i | 0.647828 | + | 0.761787i | \(0.275677\pi\) | ||||
−0.647828 | + | 0.761787i | \(0.724323\pi\) | |||||||
\(858\) | −1.99168 | + | 18.2250i | −0.0679949 | + | 0.622193i | ||||
\(859\) | 6.43276i | 0.219483i | 0.993960 | + | 0.109741i | \(0.0350023\pi\) | ||||
−0.993960 | + | 0.109741i | \(0.964998\pi\) | |||||||
\(860\) | 9.81763 | − | 17.3612i | 0.334778 | − | 0.592013i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 22.6239i | 0.770573i | ||||||||
\(863\) | −53.3510 | −1.81609 | −0.908045 | − | 0.418872i | \(-0.862425\pi\) | ||||
−0.908045 | + | 0.418872i | \(0.862425\pi\) | |||||||
\(864\) | −27.2873 | − | 9.24158i | −0.928333 | − | 0.314405i | ||||
\(865\) | 13.7763 | − | 24.3615i | 0.468407 | − | 0.828317i | ||||
\(866\) | 4.60902 | 0.156621 | ||||||||
\(867\) | −47.2991 | − | 5.16897i | −1.60636 | − | 0.175547i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.4384i | 0.523713i | ||||||||
\(870\) | −12.0465 | + | 16.7494i | −0.408416 | + | 0.567859i | ||||
\(871\) | 29.0901i | 0.985679i | ||||||||
\(872\) | 1.54359 | 0.0522726 | ||||||||
\(873\) | 42.5817 | + | 9.41937i | 1.44117 | + | 0.318797i | ||||
\(874\) | − | 8.41281i | − | 0.284567i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.14286 | − | 0.124895i | −0.0386138 | − | 0.00421982i | ||||
\(877\) | − | 35.4862i | − | 1.19828i | −0.800643 | − | 0.599142i | \(-0.795508\pi\) | ||
0.800643 | − | 0.599142i | \(-0.204492\pi\) | |||||||
\(878\) | 10.1969i | 0.344128i | ||||||||
\(879\) | 0.0199236 | − | 0.182313i | 0.000672007 | − | 0.00614926i | ||||
\(880\) | 1.02997 | − | 1.82137i | 0.0347202 | − | 0.0613983i | ||||
\(881\) | 25.0114 | 0.842655 | 0.421327 | − | 0.906909i | \(-0.361564\pi\) | ||||
0.421327 | + | 0.906909i | \(0.361564\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 30.1344i | − | 1.01410i | −0.861916 | − | 0.507051i | \(-0.830736\pi\) | ||
0.861916 | − | 0.507051i | \(-0.169264\pi\) | |||||||
\(884\) | 22.7627i | 0.765591i | ||||||||
\(885\) | −3.11860 | − | 2.24296i | −0.104830 | − | 0.0753963i | ||||
\(886\) | −19.7995 | −0.665178 | ||||||||
\(887\) | − | 9.05903i | − | 0.304172i | −0.988367 | − | 0.152086i | \(-0.951401\pi\) | ||
0.988367 | − | 0.152086i | \(-0.0485991\pi\) | |||||||
\(888\) | 0.865767 | − | 7.92227i | 0.0290532 | − | 0.265854i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −18.3052 | − | 10.3515i | −0.613592 | − | 0.346982i | ||||
\(891\) | −15.4283 | + | 33.1665i | −0.516867 | + | 1.11112i | ||||
\(892\) | 22.8247 | 0.764227 | ||||||||
\(893\) | 39.4609 | 1.32051 | ||||||||
\(894\) | −2.79922 | + | 25.6145i | −0.0936200 | + | 0.856678i | ||||
\(895\) | 13.3905 | − | 23.6794i | 0.447595 | − | 0.791514i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.10039 | + | 0.885232i | 0.270464 | + | 0.0295570i | ||||
\(898\) | 0.405957i | 0.0135470i | ||||||||
\(899\) | 11.0316 | 0.367923 | ||||||||
\(900\) | −5.65022 | − | 16.8369i | −0.188341 | − | 0.561230i | ||||
\(901\) | − | 10.1273i | − | 0.337390i | ||||||
\(902\) | − | 33.4931i | − | 1.11520i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −34.8104 | −1.15778 | ||||||||
\(905\) | 17.8060 | − | 31.4876i | 0.591891 | − | 1.04668i | ||||
\(906\) | 20.4489 | + | 2.23470i | 0.679368 | + | 0.0742431i | ||||
\(907\) | 9.48346i | 0.314893i | 0.987528 | + | 0.157447i | \(0.0503262\pi\) | ||||
−0.987528 | + | 0.157447i | \(0.949674\pi\) | |||||||
\(908\) | 13.6178i | 0.451923i | ||||||||
\(909\) | −40.4150 | − | 8.94009i | −1.34048 | − | 0.296524i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 56.8415i | − | 1.88324i | −0.336672 | − | 0.941622i | \(-0.609301\pi\) | ||
0.336672 | − | 0.941622i | \(-0.390699\pi\) | |||||||
\(912\) | −0.247236 | + | 2.26236i | −0.00818682 | + | 0.0749142i | ||||
\(913\) | 16.2750 | 0.538625 | ||||||||
\(914\) | 8.39461i | 0.277669i | ||||||||
\(915\) | −13.9411 | + | 19.3836i | −0.460880 | + | 0.640803i | ||||
\(916\) | − | 20.5695i | − | 0.679637i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 10.0410 | − | 29.6476i | 0.331402 | − | 0.978518i | ||||
\(919\) | −57.3678 | −1.89239 | −0.946195 | − | 0.323598i | \(-0.895107\pi\) | ||||
−0.946195 | + | 0.323598i | \(0.895107\pi\) | |||||||
\(920\) | −9.13558 | − | 5.16610i | −0.301191 | − | 0.170321i | ||||
\(921\) | 16.0346 | + | 1.75230i | 0.528358 | + | 0.0577404i | ||||
\(922\) | −18.8498 | −0.620784 | ||||||||
\(923\) | 13.8733i | 0.456645i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.85442 | − | 4.12252i | 0.225372 | − | 0.135548i | ||||
\(926\) | − | 2.21584i | − | 0.0728169i | ||||||
\(927\) | 24.3521 | + | 5.38685i | 0.799827 | + | 0.176927i | ||||
\(928\) | 32.6960i | 1.07330i | ||||||||
\(929\) | 10.2934 | 0.337714 | 0.168857 | − | 0.985641i | \(-0.445992\pi\) | ||||
0.168857 | + | 0.985641i | \(0.445992\pi\) | |||||||
\(930\) | 3.82143 | − | 5.31329i | 0.125310 | − | 0.174230i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −0.548005 | −0.0179505 | ||||||||
\(933\) | 43.5862 | + | 4.76321i | 1.42695 | + | 0.155941i | ||||
\(934\) | 7.20859i | 0.235872i | ||||||||
\(935\) | −52.7551 | − | 29.8326i | −1.72528 | − | 0.975631i | ||||
\(936\) | −24.2890 | − | 5.37290i | −0.793912 | − | 0.175619i | ||||
\(937\) | 29.0347 | 0.948522 | 0.474261 | − | 0.880384i | \(-0.342715\pi\) | ||||
0.474261 | + | 0.880384i | \(0.342715\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 13.1715 | + | 1.43941i | 0.429835 | + | 0.0469735i | ||||
\(940\) | 9.01079 | − | 15.9344i | 0.293900 | − | 0.519724i | ||||
\(941\) | −14.9717 | −0.488062 | −0.244031 | − | 0.969767i | \(-0.578470\pi\) | ||||
−0.244031 | + | 0.969767i | \(0.578470\pi\) | |||||||
\(942\) | −4.95872 | − | 0.541902i | −0.161564 | − | 0.0176561i | ||||
\(943\) | −14.8865 | −0.484771 | ||||||||
\(944\) | 0.228358 | 0.00743242 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 27.6596 | 0.899292 | ||||||||
\(947\) | −14.5086 | −0.471465 | −0.235733 | − | 0.971818i | \(-0.575749\pi\) | ||||
−0.235733 | + | 0.971818i | \(0.575749\pi\) | |||||||
\(948\) | −7.74348 | − | 0.846228i | −0.251496 | − | 0.0274842i | ||||
\(949\) | −1.61625 | −0.0524658 | ||||||||
\(950\) | −22.0894 | + | 13.2854i | −0.716675 | + | 0.431037i | ||||
\(951\) | 42.6085 | + | 4.65637i | 1.38167 | + | 0.150993i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 34.9591 | 1.13244 | 0.566218 | − | 0.824256i | \(-0.308406\pi\) | ||||
0.566218 | + | 0.824256i | \(0.308406\pi\) | |||||||
\(954\) | 4.01842 | + | 0.888904i | 0.130101 | + | 0.0287793i | ||||
\(955\) | −9.11134 | + | 16.1122i | −0.294836 | + | 0.521380i | ||||
\(956\) | 20.4893i | 0.662672i | ||||||||
\(957\) | 41.2679 | + | 4.50987i | 1.33400 | + | 0.145783i | ||||
\(958\) | 12.5500 | 0.405473 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 17.1957 | + | 12.3675i | 0.554988 | + | 0.399159i | ||||
\(961\) | 27.5005 | 0.887114 | ||||||||
\(962\) | − | 4.16619i | − | 0.134323i | ||||||
\(963\) | −31.4509 | − | 6.95717i | −1.01349 | − | 0.224192i | ||||
\(964\) | − | 5.06671i | − | 0.163188i | ||||||
\(965\) | 17.5287 | − | 30.9972i | 0.564268 | − | 0.997836i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 46.6810i | 1.50116i | 0.660779 | + | 0.750581i | \(0.270226\pi\) | ||||
−0.660779 | + | 0.750581i | \(0.729774\pi\) | |||||||
\(968\) | −15.8742 | −0.510216 | ||||||||
\(969\) | 65.5283 | + | 7.16110i | 2.10507 | + | 0.230048i | ||||
\(970\) | −25.5600 | − | 14.4540i | −0.820681 | − | 0.464088i | ||||
\(971\) | 1.31338 | 0.0421484 | 0.0210742 | − | 0.999778i | \(-0.493291\pi\) | ||||
0.0210742 | + | 0.999778i | \(0.493291\pi\) | |||||||
\(972\) | −15.7897 | − | 9.55635i | −0.506456 | − | 0.306520i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 23.9482i | − | 0.767350i | ||||||
\(975\) | −10.4677 | − | 22.6670i | −0.335236 | − | 0.725926i | ||||
\(976\) | − | 1.41936i | − | 0.0454326i | ||||||
\(977\) | −53.0752 | −1.69803 | −0.849013 | − | 0.528372i | \(-0.822803\pi\) | ||||
−0.849013 | + | 0.528372i | \(0.822803\pi\) | |||||||
\(978\) | −3.27701 | + | 29.9866i | −0.104787 | + | 0.958865i | ||||
\(979\) | 42.3140i | 1.35236i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.57202 | + | 0.347743i | 0.0501908 | + | 0.0111026i | ||||
\(982\) | − | 2.30000i | − | 0.0733961i | ||||||
\(983\) | 21.1136i | 0.673418i | 0.941609 | + | 0.336709i | \(0.109314\pi\) | ||||
−0.941609 | + | 0.336709i | \(0.890686\pi\) | |||||||
\(984\) | 45.1767 | + | 4.93703i | 1.44018 | + | 0.157387i | ||||
\(985\) | −46.4681 | − | 26.2773i | −1.48060 | − | 0.837266i | ||||
\(986\) | −35.5242 | −1.13132 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 19.4803i | − | 0.619750i | ||||||
\(989\) | − | 12.2937i | − | 0.390918i | ||||||
\(990\) | 16.4678 | − | 18.3142i | 0.523379 | − | 0.582064i | ||||
\(991\) | −53.6348 | −1.70377 | −0.851883 | − | 0.523732i | \(-0.824539\pi\) | ||||
−0.851883 | + | 0.523732i | \(0.824539\pi\) | |||||||
\(992\) | − | 10.3719i | − | 0.329308i | ||||||
\(993\) | −28.1621 | − | 3.07763i | −0.893698 | − | 0.0976657i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13.4583 | − | 23.7993i | 0.426657 | − | 0.754488i | ||||
\(996\) | −0.892084 | + | 8.16309i | −0.0282668 | + | 0.258658i | ||||
\(997\) | −38.8870 | −1.23156 | −0.615781 | − | 0.787917i | \(-0.711159\pi\) | ||||
−0.615781 | + | 0.787917i | \(0.711159\pi\) | |||||||
\(998\) | −26.7836 | −0.847820 | ||||||||
\(999\) | 2.66646 | − | 7.87316i | 0.0843629 | − | 0.249096i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 735.2.g.c.734.12 | yes | 32 | |
3.2 | odd | 2 | inner | 735.2.g.c.734.23 | yes | 32 | |
5.4 | even | 2 | inner | 735.2.g.c.734.21 | yes | 32 | |
7.2 | even | 3 | 735.2.p.g.374.21 | 64 | |||
7.3 | odd | 6 | 735.2.p.g.509.23 | 64 | |||
7.4 | even | 3 | 735.2.p.g.509.22 | 64 | |||
7.5 | odd | 6 | 735.2.p.g.374.24 | 64 | |||
7.6 | odd | 2 | inner | 735.2.g.c.734.9 | ✓ | 32 | |
15.14 | odd | 2 | inner | 735.2.g.c.734.10 | yes | 32 | |
21.2 | odd | 6 | 735.2.p.g.374.10 | 64 | |||
21.5 | even | 6 | 735.2.p.g.374.11 | 64 | |||
21.11 | odd | 6 | 735.2.p.g.509.9 | 64 | |||
21.17 | even | 6 | 735.2.p.g.509.12 | 64 | |||
21.20 | even | 2 | inner | 735.2.g.c.734.22 | yes | 32 | |
35.4 | even | 6 | 735.2.p.g.509.11 | 64 | |||
35.9 | even | 6 | 735.2.p.g.374.12 | 64 | |||
35.19 | odd | 6 | 735.2.p.g.374.9 | 64 | |||
35.24 | odd | 6 | 735.2.p.g.509.10 | 64 | |||
35.34 | odd | 2 | inner | 735.2.g.c.734.24 | yes | 32 | |
105.44 | odd | 6 | 735.2.p.g.374.23 | 64 | |||
105.59 | even | 6 | 735.2.p.g.509.21 | 64 | |||
105.74 | odd | 6 | 735.2.p.g.509.24 | 64 | |||
105.89 | even | 6 | 735.2.p.g.374.22 | 64 | |||
105.104 | even | 2 | inner | 735.2.g.c.734.11 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
735.2.g.c.734.9 | ✓ | 32 | 7.6 | odd | 2 | inner | |
735.2.g.c.734.10 | yes | 32 | 15.14 | odd | 2 | inner | |
735.2.g.c.734.11 | yes | 32 | 105.104 | even | 2 | inner | |
735.2.g.c.734.12 | yes | 32 | 1.1 | even | 1 | trivial | |
735.2.g.c.734.21 | yes | 32 | 5.4 | even | 2 | inner | |
735.2.g.c.734.22 | yes | 32 | 21.20 | even | 2 | inner | |
735.2.g.c.734.23 | yes | 32 | 3.2 | odd | 2 | inner | |
735.2.g.c.734.24 | yes | 32 | 35.34 | odd | 2 | inner | |
735.2.p.g.374.9 | 64 | 35.19 | odd | 6 | |||
735.2.p.g.374.10 | 64 | 21.2 | odd | 6 | |||
735.2.p.g.374.11 | 64 | 21.5 | even | 6 | |||
735.2.p.g.374.12 | 64 | 35.9 | even | 6 | |||
735.2.p.g.374.21 | 64 | 7.2 | even | 3 | |||
735.2.p.g.374.22 | 64 | 105.89 | even | 6 | |||
735.2.p.g.374.23 | 64 | 105.44 | odd | 6 | |||
735.2.p.g.374.24 | 64 | 7.5 | odd | 6 | |||
735.2.p.g.509.9 | 64 | 21.11 | odd | 6 | |||
735.2.p.g.509.10 | 64 | 35.24 | odd | 6 | |||
735.2.p.g.509.11 | 64 | 35.4 | even | 6 | |||
735.2.p.g.509.12 | 64 | 21.17 | even | 6 | |||
735.2.p.g.509.21 | 64 | 105.59 | even | 6 | |||
735.2.p.g.509.22 | 64 | 7.4 | even | 3 | |||
735.2.p.g.509.23 | 64 | 7.3 | odd | 6 | |||
735.2.p.g.509.24 | 64 | 105.74 | odd | 6 |