Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,3,Mod(46,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.46");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.p (of order \(6\), 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: | \(4.65941252056\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 6.0.92607408.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 20x^{4} - 35x^{3} + 94x^{2} - 77x + 43 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 57) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 145.3 | ||
Root | \(0.500000 + 2.93068i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 171.145 |
Dual form | 171.3.p.c.46.3 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78805 | − | 1.03233i | 0.894023 | − | 0.516164i | 0.0187668 | − | 0.999824i | \(-0.494026\pi\) |
0.875256 | + | 0.483659i | \(0.160693\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.131406 | − | 0.227602i | 0.0328515 | − | 0.0569005i | ||||
\(5\) | 3.20750 | + | 5.55555i | 0.641500 | + | 1.11111i | 0.985098 | + | 0.171993i | \(0.0550208\pi\) |
−0.343598 | + | 0.939117i | \(0.611646\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.26281 | −0.323259 | −0.161629 | − | 0.986852i | \(-0.551675\pi\) | ||||
−0.161629 | + | 0.986852i | \(0.551675\pi\) | |||||||
\(8\) | 7.71601i | 0.964502i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 11.4703 | + | 6.62239i | 1.14703 | + | 0.662239i | ||||
\(11\) | 20.0928 | 1.82662 | 0.913309 | − | 0.407267i | \(-0.133518\pi\) | ||||
0.913309 | + | 0.407267i | \(0.133518\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.135471 | − | 0.0782143i | −0.0104209 | − | 0.00601649i | 0.494781 | − | 0.869018i | \(-0.335248\pi\) |
−0.505201 | + | 0.863001i | \(0.668582\pi\) | |||||||
\(14\) | −4.04601 | + | 2.33597i | −0.289001 | + | 0.166855i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 8.49109 | + | 14.7070i | 0.530693 | + | 0.919187i | ||||
\(17\) | −12.3133 | − | 21.3272i | −0.724311 | − | 1.25454i | −0.959257 | − | 0.282534i | \(-0.908825\pi\) |
0.234947 | − | 0.972008i | \(-0.424508\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −18.9317 | − | 1.60945i | −0.996406 | − | 0.0847081i | ||||
\(20\) | 1.68594 | 0.0842970 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 35.9269 | − | 20.7424i | 1.63304 | − | 0.942836i | ||||
\(23\) | 2.62250 | − | 4.54230i | 0.114022 | − | 0.197491i | −0.803367 | − | 0.595485i | \(-0.796960\pi\) |
0.917388 | + | 0.397994i | \(0.130293\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.07609 | + | 13.9882i | −0.323044 | + | 0.559528i | ||||
\(26\) | −0.322972 | −0.0124220 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.297347 | + | 0.515021i | −0.0106195 | + | 0.0183936i | ||||
\(29\) | 31.4573 | + | 18.1619i | 1.08474 | + | 0.626272i | 0.932170 | − | 0.362021i | \(-0.117913\pi\) |
0.152566 | + | 0.988293i | \(0.451246\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 17.1105i | − | 0.551952i | −0.961165 | − | 0.275976i | \(-0.910999\pi\) | ||
0.961165 | − | 0.275976i | \(-0.0890010\pi\) | |||||||
\(32\) | 3.63586 | + | 2.09917i | 0.113621 | + | 0.0655989i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −44.0334 | − | 25.4227i | −1.29510 | − | 0.747727i | ||||
\(35\) | −7.25797 | − | 12.5712i | −0.207370 | − | 0.359176i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 42.7124i | − | 1.15439i | −0.816607 | − | 0.577194i | \(-0.804148\pi\) | ||
0.816607 | − | 0.577194i | \(-0.195852\pi\) | |||||||
\(38\) | −35.5123 | + | 16.6660i | −0.934533 | + | 0.438578i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −42.8667 | + | 24.7491i | −1.07167 | + | 0.618728i | ||||
\(41\) | −30.0928 | + | 17.3741i | −0.733971 | + | 0.423758i | −0.819873 | − | 0.572545i | \(-0.805956\pi\) |
0.0859022 | + | 0.996304i | \(0.472623\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.5553 | + | 21.7464i | 0.291984 | + | 0.505731i | 0.974279 | − | 0.225346i | \(-0.0723512\pi\) |
−0.682295 | + | 0.731077i | \(0.739018\pi\) | |||||||
\(44\) | 2.64032 | − | 4.57316i | 0.0600072 | − | 0.103936i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | − | 10.8291i | − | 0.235415i | ||||||
\(47\) | 14.6778 | − | 25.4227i | 0.312294 | − | 0.540909i | −0.666565 | − | 0.745447i | \(-0.732236\pi\) |
0.978859 | + | 0.204538i | \(0.0655693\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −43.8797 | −0.895504 | ||||||||
\(50\) | 33.3487i | 0.666975i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0356035 | + | 0.0205557i | −0.000684682 | + | 0.000395301i | ||||
\(53\) | −48.4176 | − | 27.9539i | −0.913540 | − | 0.527433i | −0.0319716 | − | 0.999489i | \(-0.510179\pi\) |
−0.881568 | + | 0.472056i | \(0.843512\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 64.4476 | + | 111.627i | 1.17178 | + | 2.02957i | ||||
\(56\) | − | 17.4599i | − | 0.311784i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 74.9962 | 1.29304 | ||||||||
\(59\) | 29.9269 | − | 17.2783i | 0.507235 | − | 0.292852i | −0.224461 | − | 0.974483i | \(-0.572062\pi\) |
0.731696 | + | 0.681631i | \(0.238729\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 27.3805 | − | 47.4244i | 0.448860 | − | 0.777448i | −0.549452 | − | 0.835525i | \(-0.685164\pi\) |
0.998312 | + | 0.0580769i | \(0.0184968\pi\) | |||||||
\(62\) | −17.6637 | − | 30.5944i | −0.284898 | − | 0.493457i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −59.2606 | −0.925947 | ||||||||
\(65\) | − | 1.00349i | − | 0.0154383i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 66.0698 | + | 38.1454i | 0.986117 | + | 0.569335i | 0.904111 | − | 0.427297i | \(-0.140534\pi\) |
0.0820054 | + | 0.996632i | \(0.473868\pi\) | |||||||
\(68\) | −6.47216 | −0.0951788 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −25.9552 | − | 14.9852i | −0.370788 | − | 0.214075i | ||||
\(71\) | −63.6080 | + | 36.7241i | −0.895887 | + | 0.517240i | −0.875863 | − | 0.482559i | \(-0.839707\pi\) |
−0.0200233 | + | 0.999800i | \(0.506374\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −45.9053 | − | 79.5103i | −0.628840 | − | 1.08918i | −0.987785 | − | 0.155824i | \(-0.950197\pi\) |
0.358945 | − | 0.933359i | \(-0.383137\pi\) | |||||||
\(74\) | −44.0932 | − | 76.3717i | −0.595854 | − | 1.03205i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.85406 | + | 4.09740i | −0.0375534 | + | 0.0539132i | ||||
\(77\) | −45.4662 | −0.590471 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −53.1300 | + | 30.6746i | −0.672531 | + | 0.388286i | −0.797035 | − | 0.603933i | \(-0.793599\pi\) |
0.124504 | + | 0.992219i | \(0.460266\pi\) | |||||||
\(80\) | −54.4703 | + | 94.3453i | −0.680879 | + | 1.17932i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −35.8716 | + | 62.1313i | −0.437458 | + | 0.757699i | ||||
\(83\) | 148.793 | 1.79268 | 0.896342 | − | 0.443363i | \(-0.146215\pi\) | ||||
0.896342 | + | 0.443363i | \(0.146215\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 78.9897 | − | 136.814i | 0.929290 | − | 1.60958i | ||||
\(86\) | 44.8990 | + | 25.9224i | 0.522081 | + | 0.301424i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 155.036i | 1.76178i | ||||||||
\(89\) | 62.7829 | + | 36.2477i | 0.705426 | + | 0.407278i | 0.809365 | − | 0.587306i | \(-0.199811\pi\) |
−0.103939 | + | 0.994584i | \(0.533145\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.306546 | + | 0.176984i | 0.00336864 | + | 0.00194488i | ||||
\(92\) | −0.689224 | − | 1.19377i | −0.00749156 | − | 0.0129758i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 60.6093i | − | 0.644780i | ||||||
\(95\) | −51.7820 | − | 110.338i | −0.545074 | − | 1.16146i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −70.0326 | + | 40.4334i | −0.721986 | + | 0.416839i | −0.815483 | − | 0.578781i | \(-0.803529\pi\) |
0.0934972 | + | 0.995620i | \(0.470195\pi\) | |||||||
\(98\) | −78.4589 | + | 45.2983i | −0.800601 | + | 0.462227i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.12250 | + | 3.67627i | 0.0212250 | + | 0.0367627i | ||||
\(101\) | 76.6770 | − | 132.809i | 0.759178 | − | 1.31494i | −0.184092 | − | 0.982909i | \(-0.558934\pi\) |
0.943270 | − | 0.332027i | \(-0.107732\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 168.948i | − | 1.64027i | −0.572169 | − | 0.820136i | \(-0.693898\pi\) | ||
0.572169 | − | 0.820136i | \(-0.306102\pi\) | |||||||
\(104\) | 0.603503 | − | 1.04530i | 0.00580291 | − | 0.0100509i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −115.431 | −1.08897 | ||||||||
\(107\) | 139.060i | 1.29963i | 0.760093 | + | 0.649815i | \(0.225154\pi\) | ||||
−0.760093 | + | 0.649815i | \(0.774846\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.15888 | + | 5.28788i | −0.0840264 | + | 0.0485127i | −0.541424 | − | 0.840749i | \(-0.682115\pi\) |
0.457398 | + | 0.889262i | \(0.348781\pi\) | |||||||
\(110\) | 230.471 | + | 133.062i | 2.09519 | + | 1.20966i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −19.2137 | − | 33.2792i | −0.171551 | − | 0.297135i | ||||
\(113\) | − | 69.1581i | − | 0.612018i | −0.952029 | − | 0.306009i | \(-0.901006\pi\) | ||
0.952029 | − | 0.306009i | \(-0.0989938\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 33.6466 | 0.292579 | ||||||||
\(116\) | 8.26737 | − | 4.77317i | 0.0712704 | − | 0.0411480i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 35.6737 | − | 61.7887i | 0.302320 | − | 0.523633i | ||||
\(119\) | 27.8626 | + | 48.2595i | 0.234140 | + | 0.405542i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 282.721 | 2.33654 | ||||||||
\(122\) | − | 113.063i | − | 0.926742i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.89438 | − | 2.24842i | −0.0314063 | − | 0.0181324i | ||||
\(125\) | 56.7587 | 0.454070 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −25.6547 | − | 14.8118i | −0.202006 | − | 0.116628i | 0.395585 | − | 0.918429i | \(-0.370542\pi\) |
−0.597591 | + | 0.801801i | \(0.703875\pi\) | |||||||
\(128\) | −120.504 | + | 69.5731i | −0.941438 | + | 0.543540i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.03593 | − | 1.79428i | −0.00796870 | − | 0.0138022i | ||||
\(131\) | 28.6526 | + | 49.6278i | 0.218722 | + | 0.378838i | 0.954418 | − | 0.298474i | \(-0.0964777\pi\) |
−0.735695 | + | 0.677313i | \(0.763144\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 42.8389 | + | 3.64189i | 0.322097 | + | 0.0273826i | ||||
\(134\) | 157.514 | 1.17548 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 164.561 | − | 95.0094i | 1.21001 | − | 0.698599i | ||||
\(137\) | −47.4499 | + | 82.1856i | −0.346349 | + | 0.599895i | −0.985598 | − | 0.169105i | \(-0.945912\pi\) |
0.639249 | + | 0.769000i | \(0.279245\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −91.2747 | + | 158.092i | −0.656652 | + | 1.13736i | 0.324824 | + | 0.945774i | \(0.394695\pi\) |
−0.981477 | + | 0.191581i | \(0.938639\pi\) | |||||||
\(140\) | −3.81496 | −0.0272497 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −75.8226 | + | 131.329i | −0.533962 | + | 0.924850i | ||||
\(143\) | −2.72200 | − | 1.57155i | −0.0190349 | − | 0.0109898i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 233.017i | 1.60701i | ||||||||
\(146\) | −164.162 | − | 94.7788i | −1.12439 | − | 0.649170i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −9.72142 | − | 5.61266i | −0.0656852 | − | 0.0379234i | ||||
\(149\) | 5.50439 | + | 9.53389i | 0.0369422 | + | 0.0639858i | 0.883905 | − | 0.467666i | \(-0.154905\pi\) |
−0.846963 | + | 0.531652i | \(0.821572\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 238.846i | 1.58176i | 0.611968 | + | 0.790882i | \(0.290378\pi\) | ||||
−0.611968 | + | 0.790882i | \(0.709622\pi\) | |||||||
\(152\) | 12.4186 | − | 146.077i | 0.0817011 | − | 0.961035i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −81.2957 | + | 46.9361i | −0.527894 | + | 0.304780i | ||||
\(155\) | 95.0582 | − | 54.8819i | 0.613279 | − | 0.354077i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 22.8125 | + | 39.5124i | 0.145303 | + | 0.251671i | 0.929486 | − | 0.368858i | \(-0.120251\pi\) |
−0.784183 | + | 0.620529i | \(0.786918\pi\) | |||||||
\(158\) | −63.3326 | + | 109.695i | −0.400839 | + | 0.694273i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 26.9323i | 0.168327i | ||||||||
\(161\) | −5.93421 | + | 10.2784i | −0.0368585 | + | 0.0638407i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.89159 | 0.0361447 | 0.0180724 | − | 0.999837i | \(-0.494247\pi\) | ||||
0.0180724 | + | 0.999837i | \(0.494247\pi\) | |||||||
\(164\) | 9.13224i | 0.0556844i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 266.048 | − | 153.603i | 1.60270 | − | 0.925320i | ||||
\(167\) | −142.140 | − | 82.0646i | −0.851138 | − | 0.491405i | 0.00989689 | − | 0.999951i | \(-0.496850\pi\) |
−0.861035 | + | 0.508546i | \(0.830183\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −84.4878 | − | 146.337i | −0.499928 | − | 0.865900i | ||||
\(170\) | − | 326.173i | − | 1.91867i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.59938 | 0.0383685 | ||||||||
\(173\) | −234.355 | + | 135.305i | −1.35465 | + | 0.782109i | −0.988897 | − | 0.148603i | \(-0.952522\pi\) |
−0.365755 | + | 0.930711i | \(0.619189\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 18.2747 | − | 31.6527i | 0.104427 | − | 0.180872i | ||||
\(176\) | 170.610 | + | 295.505i | 0.969374 | + | 1.67900i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 149.678 | 0.840890 | ||||||||
\(179\) | 186.439i | 1.04156i | 0.853691 | + | 0.520779i | \(0.174359\pi\) | ||||
−0.853691 | + | 0.520779i | \(0.825641\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −40.1939 | − | 23.2059i | −0.222066 | − | 0.128210i | 0.384841 | − | 0.922983i | \(-0.374256\pi\) |
−0.606906 | + | 0.794773i | \(0.707590\pi\) | |||||||
\(182\) | 0.730824 | 0.00401552 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 35.0484 | + | 20.2352i | 0.190481 | + | 0.109974i | ||||
\(185\) | 237.291 | − | 137.000i | 1.28265 | − | 0.740539i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −247.408 | − | 428.524i | −1.32304 | − | 2.29157i | ||||
\(188\) | −3.85751 | − | 6.68140i | −0.0205187 | − | 0.0355393i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −206.494 | − | 143.834i | −1.08681 | − | 0.757021i | ||||
\(191\) | 36.7222 | 0.192263 | 0.0961315 | − | 0.995369i | \(-0.469353\pi\) | ||||
0.0961315 | + | 0.995369i | \(0.469353\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −173.472 | + | 100.154i | −0.898817 | + | 0.518932i | −0.876816 | − | 0.480826i | \(-0.840337\pi\) |
−0.0220009 | + | 0.999758i | \(0.507004\pi\) | |||||||
\(194\) | −83.4811 | + | 144.593i | −0.430315 | + | 0.745327i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.76606 | + | 9.98710i | −0.0294187 | + | 0.0509546i | ||||
\(197\) | 171.512 | 0.870620 | 0.435310 | − | 0.900281i | \(-0.356639\pi\) | ||||
0.435310 | + | 0.900281i | \(0.356639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −43.7500 | + | 75.7772i | −0.219849 | + | 0.380790i | −0.954762 | − | 0.297372i | \(-0.903890\pi\) |
0.734913 | + | 0.678162i | \(0.237223\pi\) | |||||||
\(200\) | −107.933 | − | 62.3152i | −0.539666 | − | 0.311576i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 316.624i | − | 1.56744i | ||||||
\(203\) | −71.1820 | − | 41.0970i | −0.350650 | − | 0.202448i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −193.045 | − | 111.455i | −0.941684 | − | 0.543682i | ||||
\(206\) | −174.410 | − | 302.087i | −0.846650 | − | 1.46644i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 2.65650i | − | 0.0127716i | ||||||
\(209\) | −380.391 | − | 32.3384i | −1.82005 | − | 0.154729i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.3950 | − | 9.46566i | 0.0777014 | − | 0.0448609i | −0.460646 | − | 0.887584i | \(-0.652382\pi\) |
0.538347 | + | 0.842723i | \(0.319049\pi\) | |||||||
\(212\) | −12.7247 | + | 7.34663i | −0.0600224 | + | 0.0346539i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 143.556 | + | 248.646i | 0.670823 | + | 1.16190i | ||||
\(215\) | −80.5423 | + | 139.503i | −0.374615 | + | 0.648853i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 38.7178i | 0.178423i | ||||||||
\(218\) | −10.9177 | + | 18.9100i | −0.0500810 | + | 0.0867429i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 33.8752 | 0.153978 | ||||||||
\(221\) | 3.85230i | 0.0174312i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −224.162 | + | 129.420i | −1.00521 | + | 0.580358i | −0.909786 | − | 0.415078i | \(-0.863754\pi\) |
−0.0954244 | + | 0.995437i | \(0.530421\pi\) | |||||||
\(224\) | −8.22727 | − | 4.75002i | −0.0367289 | − | 0.0212054i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −71.3939 | − | 123.658i | −0.315902 | − | 0.547159i | ||||
\(227\) | 129.054i | 0.568522i | 0.958747 | + | 0.284261i | \(0.0917482\pi\) | ||||
−0.958747 | + | 0.284261i | \(0.908252\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −98.8946 | −0.431854 | −0.215927 | − | 0.976409i | \(-0.569277\pi\) | ||||
−0.215927 | + | 0.976409i | \(0.569277\pi\) | |||||||
\(230\) | 60.1617 | − | 34.7344i | 0.261572 | − | 0.151019i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −140.137 | + | 242.725i | −0.604041 | + | 1.04623i | ||||
\(233\) | −174.731 | − | 302.644i | −0.749920 | − | 1.29890i | −0.947861 | − | 0.318685i | \(-0.896759\pi\) |
0.197941 | − | 0.980214i | \(-0.436575\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 188.316 | 0.801346 | ||||||||
\(236\) | − | 9.08189i | − | 0.0384826i | ||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 99.6394 | + | 57.5268i | 0.418653 | + | 0.241709i | ||||
\(239\) | −301.091 | −1.25979 | −0.629897 | − | 0.776679i | \(-0.716903\pi\) | ||||
−0.629897 | + | 0.776679i | \(0.716903\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 110.242 | + | 63.6485i | 0.457438 | + | 0.264102i | 0.710966 | − | 0.703226i | \(-0.248258\pi\) |
−0.253529 | + | 0.967328i | \(0.581591\pi\) | |||||||
\(242\) | 505.518 | − | 291.861i | 2.08892 | − | 1.20604i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.19592 | − | 12.4637i | −0.0294915 | − | 0.0510807i | ||||
\(245\) | −140.744 | − | 243.776i | −0.574465 | − | 0.995003i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.43882 | + | 1.69877i | 0.00987376 | + | 0.00687759i | ||||
\(248\) | 132.025 | 0.532358 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 101.487 | − | 58.5937i | 0.405949 | − | 0.234375i | ||||
\(251\) | −177.023 | + | 306.613i | −0.705271 | + | 1.22157i | 0.261322 | + | 0.965252i | \(0.415841\pi\) |
−0.966594 | + | 0.256314i | \(0.917492\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 52.6933 | − | 91.2675i | 0.208274 | − | 0.360741i | ||||
\(254\) | −61.1625 | −0.240797 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −25.1234 | + | 43.5151i | −0.0981384 | + | 0.169981i | ||||
\(257\) | 236.669 | + | 136.641i | 0.920889 | + | 0.531676i | 0.883919 | − | 0.467641i | \(-0.154896\pi\) |
0.0369706 | + | 0.999316i | \(0.488229\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 96.6500i | 0.373166i | ||||||||
\(260\) | −0.228396 | − | 0.131865i | −0.000878447 | − | 0.000507171i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 102.464 | + | 59.1579i | 0.391086 | + | 0.225793i | ||||
\(263\) | 75.5642 | + | 130.881i | 0.287316 | + | 0.497646i | 0.973168 | − | 0.230095i | \(-0.0739036\pi\) |
−0.685852 | + | 0.727741i | \(0.740570\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 358.649i | − | 1.35339i | ||||||
\(266\) | 80.3576 | − | 37.7120i | 0.302096 | − | 0.141774i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 17.3639 | − | 10.0251i | 0.0647909 | − | 0.0374070i | ||||
\(269\) | −58.9364 | + | 34.0269i | −0.219094 | + | 0.126494i | −0.605531 | − | 0.795822i | \(-0.707039\pi\) |
0.386437 | + | 0.922316i | \(0.373706\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 56.8991 | + | 98.5521i | 0.209960 | + | 0.363661i | 0.951702 | − | 0.307025i | \(-0.0993334\pi\) |
−0.741742 | + | 0.670685i | \(0.766000\pi\) | |||||||
\(272\) | 209.106 | − | 362.183i | 0.768773 | − | 1.33155i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 195.935i | 0.715093i | ||||||||
\(275\) | −162.271 | + | 281.062i | −0.590078 | + | 1.02204i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 440.910 | 1.59173 | 0.795867 | − | 0.605472i | \(-0.207016\pi\) | ||||
0.795867 | + | 0.605472i | \(0.207016\pi\) | |||||||
\(278\) | 376.902i | 1.35576i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 96.9993 | − | 56.0026i | 0.346426 | − | 0.200009i | ||||
\(281\) | −78.0928 | − | 45.0869i | −0.277910 | − | 0.160452i | 0.354567 | − | 0.935031i | \(-0.384628\pi\) |
−0.632477 | + | 0.774579i | \(0.717962\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 34.5331 | + | 59.8131i | 0.122025 | + | 0.211354i | 0.920566 | − | 0.390587i | \(-0.127728\pi\) |
−0.798541 | + | 0.601940i | \(0.794394\pi\) | |||||||
\(284\) | 19.3031i | 0.0679685i | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.48941 | −0.0226902 | ||||||||
\(287\) | 68.0944 | − | 39.3143i | 0.237263 | − | 0.136984i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −158.734 | + | 274.935i | −0.549252 | + | 0.951332i | ||||
\(290\) | 240.550 | + | 416.645i | 0.829484 | + | 1.43671i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −24.1289 | −0.0826334 | ||||||||
\(293\) | − | 410.238i | − | 1.40013i | −0.714079 | − | 0.700065i | \(-0.753154\pi\) | ||
0.714079 | − | 0.700065i | \(-0.246846\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 191.981 | + | 110.840i | 0.650782 | + | 0.375729i | ||||
\(296\) | 329.569 | 1.11341 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 19.6842 | + | 11.3647i | 0.0660544 | + | 0.0381365i | ||||
\(299\) | −0.710545 | + | 0.410233i | −0.00237640 | + | 0.00137202i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −28.4103 | − | 49.2081i | −0.0943864 | − | 0.163482i | ||||
\(302\) | 246.568 | + | 427.068i | 0.816451 | + | 1.41413i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −137.081 | − | 292.095i | −0.450923 | − | 0.960838i | ||||
\(305\) | 351.291 | 1.15177 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −201.882 | + | 116.556i | −0.657595 | + | 0.379663i | −0.791360 | − | 0.611350i | \(-0.790627\pi\) |
0.133765 | + | 0.991013i | \(0.457293\pi\) | |||||||
\(308\) | −5.97454 | + | 10.3482i | −0.0193979 | + | 0.0335981i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 113.312 | − | 196.263i | 0.365524 | − | 0.633106i | ||||
\(311\) | 441.280 | 1.41891 | 0.709454 | − | 0.704752i | \(-0.248942\pi\) | ||||
0.709454 | + | 0.704752i | \(0.248942\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −60.6339 | + | 105.021i | −0.193719 | + | 0.335530i | −0.946480 | − | 0.322763i | \(-0.895388\pi\) |
0.752761 | + | 0.658294i | \(0.228722\pi\) | |||||||
\(314\) | 81.5796 | + | 47.1000i | 0.259808 | + | 0.150000i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 16.1233i | 0.0510232i | ||||||||
\(317\) | −286.409 | − | 165.358i | −0.903499 | − | 0.521635i | −0.0251649 | − | 0.999683i | \(-0.508011\pi\) |
−0.878334 | + | 0.478048i | \(0.841344\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 632.066 | + | 364.924i | 1.98140 | + | 1.14396i | ||||
\(320\) | −190.078 | − | 329.225i | −0.593995 | − | 1.02883i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.5042i | 0.0761001i | ||||||||
\(323\) | 198.786 | + | 423.579i | 0.615437 | + | 1.31139i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.18816 | − | 1.26333i | 0.00673279 | − | 0.00388718i | ||||
\(326\) | 10.5344 | − | 6.08206i | 0.0323142 | − | 0.0186566i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −134.059 | − | 232.197i | −0.408716 | − | 0.707916i | ||||
\(329\) | −33.2131 | + | 57.5268i | −0.100952 | + | 0.174854i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 436.308i | − | 1.31815i | −0.752077 | − | 0.659075i | \(-0.770948\pi\) | ||
0.752077 | − | 0.659075i | \(-0.229052\pi\) | |||||||
\(332\) | 19.5523 | − | 33.8655i | 0.0588924 | − | 0.102005i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −338.870 | −1.01458 | ||||||||
\(335\) | 489.406i | 1.46091i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −217.027 | + | 125.301i | −0.643997 | + | 0.371812i | −0.786153 | − | 0.618033i | \(-0.787930\pi\) |
0.142156 | + | 0.989844i | \(0.454597\pi\) | |||||||
\(338\) | −302.136 | − | 174.438i | −0.893894 | − | 0.516090i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −20.7594 | − | 35.9564i | −0.0610572 | − | 0.105754i | ||||
\(341\) | − | 343.798i | − | 1.00821i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 210.169 | 0.612738 | ||||||||
\(344\) | −167.796 | + | 96.8770i | −0.487779 | + | 0.281619i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −279.358 | + | 483.862i | −0.807393 | + | 1.39845i | ||||
\(347\) | 83.6670 | + | 144.915i | 0.241115 | + | 0.417624i | 0.961032 | − | 0.276436i | \(-0.0891535\pi\) |
−0.719917 | + | 0.694060i | \(0.755820\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −486.776 | −1.39477 | −0.697387 | − | 0.716695i | \(-0.745654\pi\) | ||||
−0.697387 | + | 0.716695i | \(0.745654\pi\) | |||||||
\(350\) | − | 75.4619i | − | 0.215605i | ||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 73.0547 | + | 42.1781i | 0.207542 | + | 0.119824i | ||||
\(353\) | −30.1507 | −0.0854128 | −0.0427064 | − | 0.999088i | \(-0.513598\pi\) | ||||
−0.0427064 | + | 0.999088i | \(0.513598\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −408.045 | − | 235.585i | −1.14942 | − | 0.663619i | ||||
\(356\) | 16.5001 | − | 9.52635i | 0.0463486 | − | 0.0267594i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 192.466 | + | 333.361i | 0.537615 | + | 0.931177i | ||||
\(359\) | 75.0088 | + | 129.919i | 0.208938 | + | 0.361891i | 0.951380 | − | 0.308019i | \(-0.0996659\pi\) |
−0.742442 | + | 0.669910i | \(0.766333\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 355.819 | + | 60.9394i | 0.985649 | + | 0.168807i | ||||
\(362\) | −95.8247 | −0.264709 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0805640 | − | 0.0465136i | 0.000221330 | − | 0.000127785i | ||||
\(365\) | 294.482 | − | 510.058i | 0.806801 | − | 1.39742i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 248.090 | − | 429.704i | 0.675994 | − | 1.17086i | −0.300183 | − | 0.953882i | \(-0.597048\pi\) |
0.976177 | − | 0.216975i | \(-0.0696189\pi\) | |||||||
\(368\) | 89.0714 | 0.242042 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 282.858 | − | 489.924i | 0.764480 | − | 1.32412i | ||||
\(371\) | 109.560 | + | 63.2545i | 0.295310 | + | 0.170497i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 449.613i | 1.20540i | 0.797969 | + | 0.602698i | \(0.205908\pi\) | ||||
−0.797969 | + | 0.602698i | \(0.794092\pi\) | |||||||
\(374\) | −884.755 | − | 510.814i | −2.36566 | − | 1.36581i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 196.162 | + | 113.254i | 0.521707 | + | 0.301208i | ||||
\(377\) | −2.84104 | − | 4.92083i | −0.00753592 | − | 0.0130526i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 471.336i | − | 1.24363i | −0.783163 | − | 0.621816i | \(-0.786395\pi\) | ||
0.783163 | − | 0.621816i | \(-0.213605\pi\) | |||||||
\(380\) | −31.9177 | − | 2.71344i | −0.0839940 | − | 0.00714064i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 65.6611 | − | 37.9094i | 0.171888 | − | 0.0992393i | ||||
\(383\) | 23.4258 | − | 13.5249i | 0.0611641 | − | 0.0353131i | −0.469106 | − | 0.883142i | \(-0.655424\pi\) |
0.530270 | + | 0.847829i | \(0.322090\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −145.833 | − | 252.590i | −0.378787 | − | 0.656078i | ||||
\(386\) | −206.784 | + | 358.160i | −0.535709 | + | 0.927875i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.2528i | 0.0547752i | ||||||||
\(389\) | −177.144 | + | 306.822i | −0.455382 | + | 0.788745i | −0.998710 | − | 0.0507758i | \(-0.983831\pi\) |
0.543328 | + | 0.839520i | \(0.317164\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −129.166 | −0.330348 | ||||||||
\(392\) | − | 338.576i | − | 0.863715i | ||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 306.672 | − | 177.057i | 0.778354 | − | 0.449383i | ||||
\(395\) | −340.829 | − | 196.777i | −0.862857 | − | 0.498171i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −79.5105 | − | 137.716i | −0.200278 | − | 0.346892i | 0.748340 | − | 0.663316i | \(-0.230851\pi\) |
−0.948618 | + | 0.316423i | \(0.897518\pi\) | |||||||
\(398\) | 180.657i | 0.453913i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −274.299 | −0.685748 | ||||||||
\(401\) | 277.534 | − | 160.234i | 0.692105 | − | 0.399587i | −0.112295 | − | 0.993675i | \(-0.535820\pi\) |
0.804400 | + | 0.594088i | \(0.202487\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.33829 | + | 2.31798i | −0.00332081 | + | 0.00575181i | ||||
\(404\) | −20.1517 | − | 34.9037i | −0.0498803 | − | 0.0863953i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −169.702 | −0.417986 | ||||||||
\(407\) | − | 858.211i | − | 2.10863i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −251.776 | − | 145.363i | −0.615590 | − | 0.355411i | 0.159560 | − | 0.987188i | \(-0.448992\pi\) |
−0.775150 | + | 0.631777i | \(0.782326\pi\) | |||||||
\(410\) | −460.232 | −1.12252 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −38.4529 | − | 22.2008i | −0.0933323 | − | 0.0538854i | ||||
\(413\) | −67.7189 | + | 39.0975i | −0.163968 | + | 0.0946671i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 477.253 | + | 826.626i | 1.15001 | + | 1.99187i | ||||
\(416\) | −0.328370 | − | 0.568753i | −0.000789350 | − | 0.00136719i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −713.541 | + | 334.866i | −1.70704 | + | 0.801115i | ||||
\(419\) | 141.846 | 0.338535 | 0.169267 | − | 0.985570i | \(-0.445860\pi\) | ||||
0.169267 | + | 0.985570i | \(0.445860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 98.6666 | − | 56.9652i | 0.234362 | − | 0.135309i | −0.378220 | − | 0.925716i | \(-0.623464\pi\) |
0.612583 | + | 0.790406i | \(0.290131\pi\) | |||||||
\(422\) | 19.5433 | − | 33.8501i | 0.0463112 | − | 0.0802134i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 215.693 | − | 373.591i | 0.508710 | − | 0.881111i | ||||
\(425\) | 397.773 | 0.935936 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −61.9568 | + | 107.312i | −0.145098 | + | 0.251317i | ||||
\(428\) | 31.6504 | + | 18.2734i | 0.0739496 | + | 0.0426948i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 332.585i | 0.773453i | ||||||||
\(431\) | −229.263 | − | 132.365i | −0.531932 | − | 0.307111i | 0.209871 | − | 0.977729i | \(-0.432696\pi\) |
−0.741803 | + | 0.670618i | \(0.766029\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −631.333 | − | 364.500i | −1.45804 | − | 0.841802i | −0.459129 | − | 0.888369i | \(-0.651839\pi\) |
−0.998915 | + | 0.0465669i | \(0.985172\pi\) | |||||||
\(434\) | 39.9695 | + | 69.2293i | 0.0920957 | + | 0.159514i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.77944i | 0.00637486i | ||||||||
\(437\) | −56.9589 | + | 81.7726i | −0.130341 | + | 0.187123i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 319.591 | − | 184.516i | 0.727998 | − | 0.420310i | −0.0896911 | − | 0.995970i | \(-0.528588\pi\) |
0.817689 | + | 0.575660i | \(0.195255\pi\) | |||||||
\(440\) | −861.312 | + | 497.279i | −1.95753 | + | 1.13018i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.97684 | + | 6.88809i | 0.00899738 | + | 0.0155839i | ||||
\(443\) | 291.547 | − | 504.975i | 0.658120 | − | 1.13990i | −0.322982 | − | 0.946405i | \(-0.604685\pi\) |
0.981102 | − | 0.193492i | \(-0.0619815\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 465.058i | 1.04507i | ||||||||
\(446\) | −267.208 | + | 462.818i | −0.599121 | + | 1.03771i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 134.096 | 0.299321 | ||||||||
\(449\) | 314.423i | 0.700273i | 0.936699 | + | 0.350137i | \(0.113865\pi\) | ||||
−0.936699 | + | 0.350137i | \(0.886135\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −604.649 | + | 349.094i | −1.34068 | + | 0.774045i | ||||
\(452\) | −15.7405 | − | 9.08779i | −0.0348242 | − | 0.0201057i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 133.227 | + | 230.755i | 0.293451 | + | 0.508272i | ||||
\(455\) | 2.27071i | 0.00499057i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 505.253 | 1.10559 | 0.552793 | − | 0.833319i | \(-0.313562\pi\) | ||||
0.552793 | + | 0.833319i | \(0.313562\pi\) | |||||||
\(458\) | −176.828 | + | 102.092i | −0.386088 | + | 0.222908i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.42137 | − | 7.65803i | 0.00961167 | − | 0.0166479i | ||||
\(461\) | −136.902 | − | 237.122i | −0.296968 | − | 0.514364i | 0.678473 | − | 0.734626i | \(-0.262642\pi\) |
−0.975441 | + | 0.220262i | \(0.929309\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 319.780 | 0.690669 | 0.345334 | − | 0.938480i | \(-0.387765\pi\) | ||||
0.345334 | + | 0.938480i | \(0.387765\pi\) | |||||||
\(464\) | 616.857i | 1.32943i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −624.855 | − | 360.760i | −1.34089 | − | 0.774164i | ||||
\(467\) | 295.510 | 0.632785 | 0.316392 | − | 0.948628i | \(-0.397528\pi\) | ||||
0.316392 | + | 0.948628i | \(0.397528\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −149.504 | − | 86.3159i | −0.318771 | − | 0.184042i | ||||
\(470\) | 336.718 | − | 194.404i | 0.716421 | − | 0.413626i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 133.319 | + | 230.916i | 0.282457 | + | 0.489229i | ||||
\(473\) | 252.271 | + | 436.947i | 0.533344 | + | 0.923778i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 175.408 | − | 251.822i | 0.369279 | − | 0.530153i | ||||
\(476\) | 14.6453 | 0.0307674 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −538.364 | + | 310.825i | −1.12629 | + | 0.650261i | ||||
\(479\) | −204.559 | + | 354.306i | −0.427054 | + | 0.739679i | −0.996610 | − | 0.0822735i | \(-0.973782\pi\) |
0.569556 | + | 0.821953i | \(0.307115\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.34072 | + | 5.78629i | −0.00694536 | + | 0.0120297i | ||||
\(482\) | 262.825 | 0.545280 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 37.1512 | − | 64.3478i | 0.0767588 | − | 0.132950i | ||||
\(485\) | −449.259 | − | 259.380i | −0.926308 | − | 0.534804i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 638.208i | − | 1.31049i | −0.755417 | − | 0.655244i | \(-0.772566\pi\) | ||
0.755417 | − | 0.655244i | \(-0.227434\pi\) | |||||||
\(488\) | 365.927 | + | 211.268i | 0.749850 | + | 0.432926i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −503.314 | − | 290.588i | −1.02717 | − | 0.593037i | ||||
\(491\) | 173.278 | + | 300.126i | 0.352908 | + | 0.611255i | 0.986758 | − | 0.162202i | \(-0.0518595\pi\) |
−0.633850 | + | 0.773456i | \(0.718526\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 894.530i | − | 1.81446i | ||||||
\(494\) | 6.11440 | + | 0.519808i | 0.0123773 | + | 0.00105224i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 251.644 | − | 145.287i | 0.507347 | − | 0.292917i | ||||
\(497\) | 143.933 | − | 83.0997i | 0.289603 | − | 0.167203i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −40.3510 | − | 69.8900i | −0.0808638 | − | 0.140060i | 0.822757 | − | 0.568393i | \(-0.192435\pi\) |
−0.903621 | + | 0.428333i | \(0.859101\pi\) | |||||||
\(500\) | 7.45844 | − | 12.9184i | 0.0149169 | − | 0.0258368i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 730.984i | 1.45614i | ||||||||
\(503\) | 247.050 | − | 427.903i | 0.491153 | − | 0.850701i | −0.508796 | − | 0.860887i | \(-0.669909\pi\) |
0.999948 | + | 0.0101862i | \(0.00324242\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 983.766 | 1.94805 | ||||||||
\(506\) | − | 217.587i | − | 0.430014i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.74237 | + | 3.89271i | −0.0132724 | + | 0.00766282i | ||||
\(509\) | −63.9084 | − | 36.8975i | −0.125557 | − | 0.0724902i | 0.435906 | − | 0.899992i | \(-0.356428\pi\) |
−0.561463 | + | 0.827502i | \(0.689761\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 103.875 | + | 179.917i | 0.203278 | + | 0.352088i | ||||
\(512\) | − | 452.842i | − | 0.884457i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 564.232 | 1.09773 | ||||||||
\(515\) | 938.599 | − | 541.900i | 1.82252 | − | 1.05223i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 294.918 | − | 510.814i | 0.570442 | − | 0.988034i | ||||
\(518\) | 99.7746 | + | 172.815i | 0.192615 | + | 0.333619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.74294 | 0.0148903 | ||||||||
\(521\) | 357.582i | 0.686337i | 0.939274 | + | 0.343169i | \(0.111500\pi\) | ||||
−0.939274 | + | 0.343169i | \(0.888500\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 382.935 | + | 221.088i | 0.732190 | + | 0.422730i | 0.819223 | − | 0.573475i | \(-0.194405\pi\) |
−0.0870328 | + | 0.996205i | \(0.527739\pi\) | |||||||
\(524\) | 15.0605 | 0.0287415 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 270.225 | + | 156.014i | 0.513735 | + | 0.296605i | ||||
\(527\) | −364.919 | + | 210.686i | −0.692447 | + | 0.399784i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 250.745 | + | 434.303i | 0.473998 | + | 0.820989i | ||||
\(530\) | −370.243 | − | 641.281i | −0.698573 | − | 1.20996i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.45819 | − | 9.27165i | 0.0121395 | − | 0.0174279i | ||||
\(533\) | 5.43561 | 0.0101981 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −772.557 | + | 446.036i | −1.44403 | + | 0.833712i | ||||
\(536\) | −294.331 | + | 509.796i | −0.549124 | + | 0.951111i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −70.2539 | + | 121.683i | −0.130584 | + | 0.226177i | ||||
\(539\) | −881.666 | −1.63574 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −487.737 | + | 844.785i | −0.901547 | + | 1.56152i | −0.0760596 | + | 0.997103i | \(0.524234\pi\) |
−0.825487 | + | 0.564421i | \(0.809099\pi\) | |||||||
\(542\) | 203.476 | + | 117.477i | 0.375418 | + | 0.216747i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 103.390i | − | 0.190056i | ||||||
\(545\) | −58.7542 | − | 33.9217i | −0.107806 | − | 0.0622417i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 350.050 | + | 202.102i | 0.639945 | + | 0.369473i | 0.784594 | − | 0.620010i | \(-0.212872\pi\) |
−0.144648 | + | 0.989483i | \(0.546205\pi\) | |||||||
\(548\) | 12.4704 | + | 21.5994i | 0.0227562 | + | 0.0394149i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 670.070i | 1.21831i | ||||||||
\(551\) | −566.310 | − | 394.465i | −1.02779 | − | 0.715907i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 120.223 | − | 69.4109i | 0.217402 | − | 0.125517i | ||||
\(554\) | 788.368 | − | 455.164i | 1.42305 | − | 0.821596i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 23.9881 | + | 41.5486i | 0.0431441 | + | 0.0747277i | ||||
\(557\) | 29.9352 | − | 51.8492i | 0.0537435 | − | 0.0930866i | −0.837902 | − | 0.545821i | \(-0.816218\pi\) |
0.891646 | + | 0.452734i | \(0.149551\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 3.92802i | − | 0.00702687i | ||||||
\(560\) | 123.256 | − | 213.486i | 0.220100 | − | 0.381225i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −186.178 | −0.331278 | ||||||||
\(563\) | − | 247.579i | − | 0.439749i | −0.975528 | − | 0.219874i | \(-0.929435\pi\) | ||
0.975528 | − | 0.219874i | \(-0.0705648\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 384.211 | − | 221.824i | 0.680020 | − | 0.392610i | ||||
\(566\) | 123.494 | + | 71.2990i | 0.218186 | + | 0.125970i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −283.363 | − | 490.800i | −0.498879 | − | 0.864084i | ||||
\(569\) | 76.4991i | 0.134445i | 0.997738 | + | 0.0672224i | \(0.0214137\pi\) | ||||
−0.997738 | + | 0.0672224i | \(0.978586\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −624.523 | −1.09373 | −0.546867 | − | 0.837219i | \(-0.684180\pi\) | ||||
−0.546867 | + | 0.837219i | \(0.684180\pi\) | |||||||
\(572\) | −0.715374 | + | 0.413021i | −0.00125065 | + | 0.000722065i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 81.1706 | − | 140.592i | 0.141412 | − | 0.244933i | ||||
\(575\) | 42.3590 | + | 73.3680i | 0.0736679 | + | 0.127597i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 185.550 | 0.321577 | 0.160789 | − | 0.986989i | \(-0.448596\pi\) | ||||
0.160789 | + | 0.986989i | \(0.448596\pi\) | |||||||
\(578\) | 655.462i | 1.13402i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 53.0352 | + | 30.6199i | 0.0914399 | + | 0.0527929i | ||||
\(581\) | −336.690 | −0.579501 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −972.846 | − | 561.673i | −1.66869 | − | 0.963418i | ||||
\(584\) | 613.503 | − | 354.206i | 1.05052 | − | 0.606517i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −423.501 | − | 733.525i | −0.722698 | − | 1.25175i | ||||
\(587\) | 130.891 | + | 226.710i | 0.222983 | + | 0.386218i | 0.955712 | − | 0.294302i | \(-0.0950872\pi\) |
−0.732729 | + | 0.680520i | \(0.761754\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −27.5386 | + | 323.931i | −0.0467548 | + | 0.549968i | ||||
\(590\) | 457.694 | 0.775752 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 628.170 | − | 362.674i | 1.06110 | − | 0.612626i | ||||
\(593\) | 124.254 | − | 215.215i | 0.209535 | − | 0.362925i | −0.742033 | − | 0.670363i | \(-0.766138\pi\) |
0.951568 | + | 0.307438i | \(0.0994717\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −178.739 | + | 309.585i | −0.300401 | + | 0.520310i | ||||
\(596\) | 2.89324 | 0.00485443 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.846992 | + | 1.46703i | −0.00141637 | + | 0.00245323i | ||||
\(599\) | 167.646 | + | 96.7905i | 0.279877 | + | 0.161587i | 0.633368 | − | 0.773851i | \(-0.281672\pi\) |
−0.353491 | + | 0.935438i | \(0.615005\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 675.975i | − | 1.12475i | −0.826882 | − | 0.562375i | \(-0.809888\pi\) | ||
0.826882 | − | 0.562375i | \(-0.190112\pi\) | |||||||
\(602\) | −101.598 | − | 58.6576i | −0.168767 | − | 0.0974378i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 54.3619 | + | 31.3859i | 0.0900032 | + | 0.0519634i | ||||
\(605\) | 906.827 | + | 1570.67i | 1.49889 | + | 2.59615i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 383.052i | 0.631057i | 0.948916 | + | 0.315528i | \(0.102182\pi\) | ||||
−0.948916 | + | 0.315528i | \(0.897818\pi\) | |||||||
\(608\) | −65.4546 | − | 45.5925i | −0.107656 | − | 0.0749877i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 628.125 | − | 362.648i | 1.02971 | − | 0.594505i | ||||
\(611\) | −3.97684 | + | 2.29603i | −0.00650874 | + | 0.00375782i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.5410 | − | 47.7025i | −0.0449283 | − | 0.0778180i | 0.842687 | − | 0.538404i | \(-0.180973\pi\) |
−0.887615 | + | 0.460586i | \(0.847639\pi\) | |||||||
\(614\) | −240.649 | + | 416.817i | −0.391937 | + | 0.678854i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | − | 350.818i | − | 0.569510i | ||||||
\(617\) | 51.7851 | − | 89.6944i | 0.0839305 | − | 0.145372i | −0.821004 | − | 0.570922i | \(-0.806586\pi\) |
0.904935 | + | 0.425550i | \(0.139919\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −263.102 | −0.425043 | −0.212521 | − | 0.977156i | \(-0.568168\pi\) | ||||
−0.212521 | + | 0.977156i | \(0.568168\pi\) | |||||||
\(620\) | − | 28.8473i | − | 0.0465278i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 789.030 | − | 455.547i | 1.26854 | − | 0.732390i | ||||
\(623\) | −142.066 | − | 82.0218i | −0.228035 | − | 0.131656i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 383.956 | + | 665.031i | 0.614329 | + | 1.06405i | ||||
\(626\) | 250.377i | 0.399963i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 11.9908 | 0.0190936 | ||||||||
\(629\) | −910.936 | + | 525.929i | −1.44823 | + | 0.836135i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 72.5474 | − | 125.656i | 0.114972 | − | 0.199137i | −0.802797 | − | 0.596253i | \(-0.796655\pi\) |
0.917769 | + | 0.397116i | \(0.129989\pi\) | |||||||
\(632\) | −236.686 | − | 409.952i | −0.374503 | − | 0.648658i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −682.817 | −1.07700 | ||||||||
\(635\) | − | 190.035i | − | 0.299267i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.94443 | + | 3.43202i | 0.00933192 | + | 0.00538779i | ||||
\(638\) | 1506.88 | 2.36189 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −773.034 | − | 446.311i | −1.20787 | − | 0.697361i | ||||
\(641\) | 583.796 | − | 337.055i | 0.910758 | − | 0.525826i | 0.0300832 | − | 0.999547i | \(-0.490423\pi\) |
0.880675 | + | 0.473721i | \(0.157089\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.719856 | + | 1.24683i | 0.00111953 | + | 0.00193908i | 0.866585 | − | 0.499030i | \(-0.166310\pi\) |
−0.865465 | + | 0.500969i | \(0.832977\pi\) | |||||||
\(644\) | 1.55958 | + | 2.70128i | 0.00242171 | + | 0.00419453i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 792.711 | + | 552.165i | 1.22711 | + | 0.854745i | ||||
\(647\) | 614.044 | 0.949063 | 0.474532 | − | 0.880239i | \(-0.342617\pi\) | ||||
0.474532 | + | 0.880239i | \(0.342617\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 601.315 | − | 347.169i | 0.926525 | − | 0.534929i | ||||
\(650\) | 2.60835 | − | 4.51779i | 0.00401284 | − | 0.00695045i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.774191 | − | 1.34094i | 0.00118741 | − | 0.00205665i | ||||
\(653\) | −822.374 | −1.25938 | −0.629689 | − | 0.776847i | \(-0.716818\pi\) | ||||
−0.629689 | + | 0.776847i | \(0.716818\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −183.807 | + | 318.362i | −0.280621 | + | 0.486049i | ||||
\(656\) | −511.041 | − | 295.050i | −0.779027 | − | 0.449771i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 137.147i | 0.208431i | ||||||||
\(659\) | 549.386 | + | 317.188i | 0.833666 | + | 0.481317i | 0.855106 | − | 0.518453i | \(-0.173492\pi\) |
−0.0214404 | + | 0.999770i | \(0.506825\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −818.470 | − | 472.544i | −1.23823 | − | 0.714893i | −0.269498 | − | 0.963001i | \(-0.586858\pi\) |
−0.968732 | + | 0.248108i | \(0.920191\pi\) | |||||||
\(662\) | −450.413 | − | 780.138i | −0.680382 | − | 1.17846i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1148.09i | 1.72905i | ||||||||
\(665\) | 117.173 | + | 249.675i | 0.176200 | + | 0.375451i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 164.993 | − | 95.2590i | 0.247366 | − | 0.142817i | ||||
\(668\) | −37.3561 | + | 21.5676i | −0.0559223 | + | 0.0322868i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 505.228 | + | 875.080i | 0.754071 | + | 1.30609i | ||||
\(671\) | 550.150 | − | 952.888i | 0.819896 | − | 1.42010i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 570.803i | − | 0.848147i | −0.905628 | − | 0.424074i | \(-0.860600\pi\) | ||
0.905628 | − | 0.424074i | \(-0.139400\pi\) | |||||||
\(674\) | −258.703 | + | 448.086i | −0.383832 | + | 0.664817i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −44.4088 | −0.0656935 | ||||||||
\(677\) | 275.976i | 0.407646i | 0.979008 | + | 0.203823i | \(0.0653367\pi\) | ||||
−0.979008 | + | 0.203823i | \(0.934663\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 158.471 | − | 91.4931i | 0.233388 | − | 0.134747i | ||||
\(680\) | 1055.66 | + | 609.485i | 1.55244 | + | 0.896302i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −354.913 | − | 614.727i | −0.520400 | − | 0.901359i | ||||
\(683\) | − | 106.224i | − | 0.155525i | −0.996972 | − | 0.0777627i | \(-0.975222\pi\) | ||
0.996972 | − | 0.0777627i | \(-0.0247776\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −608.781 | −0.888732 | ||||||||
\(686\) | 375.792 | − | 216.964i | 0.547802 | − | 0.316274i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −213.217 | + | 369.302i | −0.309908 | + | 0.536776i | ||||
\(689\) | 4.37279 | + | 7.57390i | 0.00634658 | + | 0.0109926i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 244.177 | 0.353367 | 0.176684 | − | 0.984268i | \(-0.443463\pi\) | ||||
0.176684 | + | 0.984268i | \(0.443463\pi\) | |||||||
\(692\) | 71.1195i | 0.102774i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 299.201 | + | 172.744i | 0.431125 | + | 0.248910i | ||||
\(695\) | −1171.05 | −1.68497 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 741.082 | + | 427.864i | 1.06325 | + | 0.613865i | ||||
\(698\) | −870.378 | + | 502.513i | −1.24696 | + | 0.719932i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.80281 | − | 8.31871i | −0.00686115 | − | 0.0118839i | ||||
\(701\) | −143.276 | − | 248.161i | −0.204388 | − | 0.354010i | 0.745550 | − | 0.666450i | \(-0.232187\pi\) |
−0.949938 | + | 0.312440i | \(0.898854\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −68.7436 | + | 808.618i | −0.0977860 | + | 1.15024i | ||||
\(704\) | −1190.71 | −1.69135 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −53.9108 | + | 31.1254i | −0.0763610 | + | 0.0440870i | ||||
\(707\) | −173.506 | + | 300.521i | −0.245411 | + | 0.425065i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.70585 | + | 9.88282i | −0.00804774 | + | 0.0139391i | −0.870021 | − | 0.493014i | \(-0.835895\pi\) |
0.861973 | + | 0.506953i | \(0.169228\pi\) | |||||||
\(710\) | −972.804 | −1.37015 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −279.688 | + | 484.434i | −0.392820 | + | 0.680385i | ||||
\(713\) | −77.7209 | − | 44.8722i | −0.109006 | − | 0.0629344i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 20.1629i | − | 0.0281999i | ||||||
\(716\) | 42.4339 | + | 24.4992i | 0.0592652 | + | 0.0342168i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 268.238 | + | 154.867i | 0.373591 | + | 0.215693i | ||||
\(719\) | −438.491 | − | 759.488i | −0.609862 | − | 1.05631i | −0.991263 | − | 0.131902i | \(-0.957892\pi\) |
0.381401 | − | 0.924410i | \(-0.375442\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 382.298i | 0.530232i | ||||||||
\(722\) | 699.131 | − | 258.360i | 0.968325 | − | 0.357839i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.5634 | + | 6.09880i | −0.0145904 | + | 0.00842376i | ||||
\(725\) | −508.105 | + | 293.354i | −0.700834 | + | 0.404627i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −360.167 | − | 623.827i | −0.495415 | − | 0.858084i | 0.504571 | − | 0.863370i | \(-0.331651\pi\) |
−0.999986 | + | 0.00528653i | \(0.998317\pi\) | |||||||
\(728\) | −1.36561 | + | 2.36531i | −0.00187584 | + | 0.00324905i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | − | 1216.01i | − | 1.66577i | ||||||
\(731\) | 309.194 | − | 535.540i | 0.422974 | − | 0.732613i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −170.651 | −0.232812 | −0.116406 | − | 0.993202i | \(-0.537137\pi\) | ||||
−0.116406 | + | 0.993202i | \(0.537137\pi\) | |||||||
\(734\) | − | 1024.44i | − | 1.39570i | ||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 19.0701 | − | 11.0101i | 0.0259104 | − | 0.0149594i | ||||
\(737\) | 1327.53 | + | 766.449i | 1.80126 | + | 1.03996i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 530.334 | + | 918.566i | 0.717637 | + | 1.24298i | 0.961933 | + | 0.273284i | \(0.0881098\pi\) |
−0.244296 | + | 0.969701i | \(0.578557\pi\) | |||||||
\(740\) | − | 72.0104i | − | 0.0973114i | ||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 261.198 | 0.352019 | ||||||||
\(743\) | −290.537 | + | 167.742i | −0.391033 | + | 0.225763i | −0.682607 | − | 0.730785i | \(-0.739154\pi\) |
0.291575 | + | 0.956548i | \(0.405821\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.3107 | + | 61.1599i | −0.0473969 | + | 0.0820938i | ||||
\(746\) | 464.148 | + | 803.928i | 0.622182 | + | 1.07765i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −130.044 | −0.173855 | ||||||||
\(749\) | − | 314.668i | − | 0.420117i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1128.41 | − | 651.490i | −1.50255 | − | 0.867497i | −0.999996 | − | 0.00295120i | \(-0.999061\pi\) |
−0.502554 | − | 0.864546i | \(-0.667606\pi\) | |||||||
\(752\) | 498.522 | 0.662929 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −10.1598 | − | 5.86578i | −0.0134746 | − | 0.00777955i | ||||
\(755\) | −1326.92 | + | 766.100i | −1.75751 | + | 1.01470i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −60.1511 | − | 104.185i | −0.0794598 | − | 0.137628i | 0.823557 | − | 0.567233i | \(-0.191986\pi\) |
−0.903017 | + | 0.429605i | \(0.858653\pi\) | |||||||
\(758\) | −486.574 | − | 842.771i | −0.641919 | − | 1.11184i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 851.373 | − | 399.551i | 1.12023 | − | 0.525725i | ||||
\(761\) | −1346.45 | −1.76932 | −0.884658 | − | 0.466240i | \(-0.845608\pi\) | ||||
−0.884658 | + | 0.466240i | \(0.845608\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.7248 | − | 11.9655i | 0.0271623 | − | 0.0156822i | ||||
\(764\) | 4.82553 | − | 8.35805i | 0.00631613 | − | 0.0109399i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 27.9243 | − | 48.3663i | 0.0364547 | − | 0.0631414i | ||||
\(767\) | −5.40564 | −0.00704777 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 109.016 | − | 188.821i | 0.141763 | − | 0.245541i | −0.786398 | − | 0.617721i | \(-0.788056\pi\) |
0.928161 | + | 0.372180i | \(0.121390\pi\) | |||||||
\(770\) | −521.512 | − | 301.095i | −0.677288 | − | 0.391033i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 52.6433i | 0.0681909i | ||||||||
\(773\) | 48.6422 | + | 28.0836i | 0.0629266 | + | 0.0363307i | 0.531133 | − | 0.847288i | \(-0.321766\pi\) |
−0.468207 | + | 0.883619i | \(0.655100\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 239.345 | + | 138.186i | 0.308832 | + | 0.178304i | ||||
\(776\) | −311.984 | − | 540.373i | −0.402042 | − | 0.696357i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 731.482i | 0.940208i | ||||||||
\(779\) | 597.671 | − | 280.488i | 0.767229 | − | 0.360062i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1278.06 | + | 737.890i | −1.63644 | + | 0.944801i | ||||
\(782\) | −230.955 | + | 133.342i | −0.295339 | + | 0.170514i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −372.586 | − | 645.338i | −0.475238 | − | 0.823136i | ||||
\(785\) | −146.342 | + | 253.472i | −0.186423 | + | 0.322894i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 170.104i | − | 0.216142i | −0.994143 | − | 0.108071i | \(-0.965533\pi\) | ||
0.994143 | − | 0.108071i | \(-0.0344674\pi\) | |||||||
\(788\) | 22.5377 | − | 39.0365i | 0.0286012 | − | 0.0495387i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −812.556 | −1.02855 | ||||||||
\(791\) | 156.492i | 0.197840i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.41853 | + | 4.28309i | −0.00935501 | + | 0.00540112i | ||||
\(794\) | −284.337 | − | 164.162i | −0.358107 | − | 0.206753i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.4980 | + | 19.9152i | 0.0144448 | + | 0.0250190i | ||||
\(797\) | − | 740.226i | − | 0.928765i | −0.885635 | − | 0.464383i | \(-0.846276\pi\) | ||
0.885635 | − | 0.464383i | \(-0.153724\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −722.928 | −0.904791 | ||||||||
\(800\) | −58.7271 | + | 33.9061i | −0.0734089 | + | 0.0423826i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 330.829 | − | 573.013i | 0.412505 | − | 0.714480i | ||||
\(803\) | −922.366 | − | 1597.59i | −1.14865 | − | 1.98952i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −76.1359 | −0.0945788 | ||||||||
\(806\) | 5.52620i | 0.00685633i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1024.75 | + | 591.641i | 1.26826 | + | 0.732229i | ||||
\(809\) | 1489.01 | 1.84056 | 0.920280 | − | 0.391260i | \(-0.127961\pi\) | ||||
0.920280 | + | 0.391260i | \(0.127961\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 823.672 | + | 475.547i | 1.01563 | + | 0.586372i | 0.912834 | − | 0.408331i | \(-0.133889\pi\) |
0.102792 | + | 0.994703i | \(0.467223\pi\) | |||||||
\(812\) | −18.7075 | + | 10.8008i | −0.0230388 | + | 0.0133015i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −885.956 | − | 1534.52i | −1.08840 | − | 1.88516i | ||||
\(815\) | 18.8973 | + | 32.7310i | 0.0231868 | + | 0.0401608i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −202.694 | − | 431.905i | −0.248095 | − | 0.528647i | ||||
\(818\) | −600.250 | −0.733802 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −50.7346 | + | 29.2917i | −0.0618715 | + | 0.0357215i | ||||
\(821\) | −790.459 | + | 1369.12i | −0.962801 | + | 1.66762i | −0.247390 | + | 0.968916i | \(0.579573\pi\) |
−0.715411 | + | 0.698704i | \(0.753760\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 734.523 | − | 1272.23i | 0.892494 | − | 1.54585i | 0.0556192 | − | 0.998452i | \(-0.482287\pi\) |
0.836875 | − | 0.547394i | \(-0.184380\pi\) | |||||||
\(824\) | 1303.61 | 1.58204 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −80.7230 | + | 139.816i | −0.0977276 | + | 0.169269i | ||||
\(827\) | 13.7499 | + | 7.93854i | 0.0166263 | + | 0.00959920i | 0.508290 | − | 0.861186i | \(-0.330278\pi\) |
−0.491664 | + | 0.870785i | \(0.663611\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 460.891i | 0.555960i | 0.960587 | + | 0.277980i | \(0.0896649\pi\) | ||||
−0.960587 | + | 0.277980i | \(0.910335\pi\) | |||||||
\(830\) | 1706.70 | + | 985.363i | 2.05626 | + | 1.18718i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 8.02810 | + | 4.63503i | 0.00964916 | + | 0.00557095i | ||||
\(833\) | 540.303 | + | 935.832i | 0.648623 | + | 1.12345i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 1052.89i | − | 1.26094i | ||||||
\(836\) | −57.3460 | + | 82.3283i | −0.0685957 | + | 0.0984789i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 253.627 | − | 146.432i | 0.302658 | − | 0.174740i | ||||
\(839\) | 11.1163 | − | 6.41800i | 0.0132495 | − | 0.00764959i | −0.493361 | − | 0.869825i | \(-0.664232\pi\) |
0.506610 | + | 0.862175i | \(0.330898\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 239.209 | + | 414.323i | 0.284434 | + | 0.492655i | ||||
\(842\) | 117.614 | − | 203.713i | 0.139684 | − | 0.241939i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | − | 4.97538i | − | 0.00589500i | ||||||
\(845\) | 541.989 | − | 938.752i | 0.641407 | − | 1.11095i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −639.744 | −0.755306 | ||||||||
\(848\) | − | 949.437i | − | 1.11962i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 711.236 | − | 410.632i | 0.836748 | − | 0.483097i | ||||
\(851\) | −194.012 | − | 112.013i | −0.227981 | − | 0.131625i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 321.717 | + | 557.231i | 0.377160 | + | 0.653260i | 0.990648 | − | 0.136444i | \(-0.0435674\pi\) |
−0.613488 | + | 0.789704i | \(0.710234\pi\) | |||||||
\(854\) | 255.839i | 0.299578i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1072.99 | −1.25350 | ||||||||
\(857\) | 115.805 | − | 66.8603i | 0.135129 | − | 0.0780167i | −0.430912 | − | 0.902394i | \(-0.641808\pi\) |
0.566040 | + | 0.824377i | \(0.308475\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −49.3229 | + | 85.4297i | −0.0574189 | + | 0.0994525i | −0.893306 | − | 0.449449i | \(-0.851620\pi\) |
0.835887 | + | 0.548901i | \(0.184954\pi\) | |||||||
\(860\) | 21.1675 | + | 36.6632i | 0.0246134 | + | 0.0426316i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −546.576 | −0.634079 | ||||||||
\(863\) | 829.585i | 0.961280i | 0.876918 | + | 0.480640i | \(0.159596\pi\) | ||||
−0.876918 | + | 0.480640i | \(0.840404\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1503.39 | − | 867.980i | −1.73802 | − | 1.00344i | ||||
\(866\) | −1505.14 | −1.73803 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.81226 | + | 5.08776i | 0.0101524 | + | 0.00586147i | ||||
\(869\) | −1067.53 | + | 616.339i | −1.22846 | + | 0.709251i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.96704 | − | 10.3352i | −0.00685079 | − | 0.0118659i | ||||
\(872\) | −40.8014 | − | 70.6700i | −0.0467906 | − | 0.0810436i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −17.4290 | + | 205.014i | −0.0199416 | + | 0.234569i | ||||
\(875\) | −128.434 | −0.146782 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 157.383 | − | 90.8649i | 0.179456 | − | 0.103609i | −0.407581 | − | 0.913169i | \(-0.633628\pi\) |
0.587037 | + | 0.809560i | \(0.300294\pi\) | |||||||
\(878\) | 380.963 | − | 659.847i | 0.433898 | − | 0.751534i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1094.46 | + | 1895.66i | −1.24371 | + | 2.15416i | ||||
\(881\) | 517.816 | 0.587759 | 0.293880 | − | 0.955842i | \(-0.405054\pi\) | ||||
0.293880 | + | 0.955842i | \(0.405054\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 782.367 | − | 1355.10i | 0.886033 | − | 1.53465i | 0.0415084 | − | 0.999138i | \(-0.486784\pi\) |
0.844525 | − | 0.535516i | \(-0.179883\pi\) | |||||||
\(884\) | 0.876791 | + | 0.506216i | 0.000991845 | + | 0.000572642i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | − | 1203.89i | − | 1.35879i | ||||||
\(887\) | 620.266 | + | 358.111i | 0.699285 | + | 0.403732i | 0.807081 | − | 0.590441i | \(-0.201046\pi\) |
−0.107796 | + | 0.994173i | \(0.534379\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 58.0518 | + | 33.5162i | 0.0653001 | + | 0.0377011i | ||||
\(890\) | 480.093 | + | 831.546i | 0.539431 | + | 0.934321i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 68.0262i | 0.0762626i | ||||||||
\(893\) | −318.793 | + | 457.672i | −0.356991 | + | 0.512511i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1035.77 | + | 598.003i | −1.15729 | + | 0.668159i | ||||
\(896\) | 272.678 | − | 157.431i | 0.304328 | − | 0.175704i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 324.588 | + | 562.202i | 0.361456 | + | 0.626061i | ||||
\(899\) | 310.759 | − | 538.251i | 0.345672 | − | 0.598722i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1376.82i | 1.52810i | ||||||||
\(902\) | −720.760 | + | 1248.39i | −0.799069 | + | 1.38403i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 533.625 | 0.590293 | ||||||||
\(905\) | − | 297.732i | − | 0.328986i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 240.379 | − | 138.783i | 0.265026 | − | 0.153013i | −0.361599 | − | 0.932334i | \(-0.617769\pi\) |
0.626625 | + | 0.779321i | \(0.284436\pi\) | |||||||
\(908\) | 29.3731 | + | 16.9585i | 0.0323492 | + | 0.0186768i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.34412 | + | 4.06013i | 0.00257595 | + | 0.00446168i | ||||
\(911\) | 1630.56i | 1.78986i | 0.446207 | + | 0.894930i | \(0.352774\pi\) | ||||
−0.446207 | + | 0.894930i | \(0.647226\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2989.66 | 3.27455 | ||||||||
\(914\) | 903.415 | − | 521.587i | 0.988419 | − | 0.570664i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.9954 | + | 22.5086i | −0.0141871 | + | 0.0245727i | ||||
\(917\) | −64.8355 | − | 112.298i | −0.0707040 | − | 0.122463i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −48.0409 | −0.0522752 | −0.0261376 | − | 0.999658i | \(-0.508321\pi\) | ||||
−0.0261376 | + | 0.999658i | \(0.508321\pi\) | |||||||
\(920\) | 259.618i | 0.282193i | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −489.575 | − | 282.656i | −0.530993 | − | 0.306569i | ||||
\(923\) | 11.4894 | 0.0124479 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 597.469 | + | 344.949i | 0.645912 | + | 0.372918i | ||||
\(926\) | 571.781 | − | 330.118i | 0.617474 | − | 0.356499i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 76.2497 | + | 132.068i | 0.0821656 | + | 0.142315i | ||||
\(929\) | 641.727 | + | 1111.50i | 0.690772 | + | 1.19645i | 0.971585 | + | 0.236690i | \(0.0760626\pi\) |
−0.280813 | + | 0.959763i | \(0.590604\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 830.717 | + | 70.6223i | 0.892285 | + | 0.0758564i | ||||
\(932\) | −91.8430 | −0.0985440 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 528.386 | − | 305.064i | 0.565724 | − | 0.326621i | ||||
\(935\) | 1587.12 | − | 2748.98i | 1.69746 | − | 2.94008i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −769.568 | + | 1332.93i | −0.821311 | + | 1.42255i | 0.0833953 | + | 0.996517i | \(0.473424\pi\) |
−0.904706 | + | 0.426036i | \(0.859910\pi\) | |||||||
\(938\) | −356.426 | −0.379985 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 24.7459 | − | 42.8611i | 0.0263254 | − | 0.0455970i | ||||
\(941\) | 1281.05 | + | 739.617i | 1.36138 | + | 0.785990i | 0.989807 | − | 0.142415i | \(-0.0454869\pi\) |
0.371568 | + | 0.928406i | \(0.378820\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 182.254i | 0.193270i | ||||||||
\(944\) | 508.223 | + | 293.423i | 0.538372 | + | 0.310829i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 902.146 | + | 520.854i | 0.953643 | + | 0.550586i | ||||
\(947\) | −349.924 | − | 606.086i | −0.369508 | − | 0.640006i | 0.619981 | − | 0.784617i | \(-0.287140\pi\) |
−0.989489 | + | 0.144611i | \(0.953807\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.3618i | 0.0151336i | ||||||||
\(950\) | 53.6733 | − | 631.349i | 0.0564982 | − | 0.664577i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −372.371 | + | 214.989i | −0.391146 | + | 0.225828i | ||||
\(953\) | 354.907 | − | 204.906i | 0.372411 | − | 0.215011i | −0.302100 | − | 0.953276i | \(-0.597688\pi\) |
0.674511 | + | 0.738265i | \(0.264354\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 117.787 | + | 204.012i | 0.123337 | + | 0.213625i | ||||
\(956\) | −39.5652 | + | 68.5289i | −0.0413862 | + | 0.0716829i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 844.688i | 0.881720i | ||||||||
\(959\) | 107.370 | − | 185.971i | 0.111960 | − | 0.193921i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 668.231 | 0.695349 | ||||||||
\(962\) | 13.7949i | 0.0143398i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 28.9731 | − | 16.7276i | 0.0300550 | − | 0.0173523i | ||||
\(965\) | −1112.82 | − | 642.487i | −1.15318 | − | 0.665790i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 92.4602 | + | 160.146i | 0.0956155 | + | 0.165611i | 0.909865 | − | 0.414904i | \(-0.136185\pi\) |
−0.814250 | + | 0.580515i | \(0.802851\pi\) | |||||||
\(968\) | 2181.48i | 2.25359i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1071.06 | −1.10419 | ||||||||
\(971\) | −218.148 | + | 125.948i | −0.224663 | + | 0.129709i | −0.608107 | − | 0.793855i | \(-0.708071\pi\) |
0.383445 | + | 0.923564i | \(0.374738\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 206.537 | − | 357.733i | 0.212269 | − | 0.367660i | ||||
\(974\) | −658.840 | − | 1141.14i | −0.676427 | − | 1.17161i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 929.960 | 0.952828 | ||||||||
\(977\) | 372.639i | 0.381411i | 0.981647 | + | 0.190706i | \(0.0610776\pi\) | ||||
−0.981647 | + | 0.190706i | \(0.938922\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1261.49 | + | 728.319i | 1.28854 | + | 0.743942i | ||||
\(980\) | −73.9785 | −0.0754882 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 619.658 | + | 357.760i | 0.631016 | + | 0.364317i | ||||
\(983\) | −137.328 | + | 79.2861i | −0.139702 | + | 0.0806573i | −0.568222 | − | 0.822875i | \(-0.692369\pi\) |
0.428520 | + | 0.903532i | \(0.359035\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 550.125 | + | 952.844i | 0.558503 | + | 0.967355i | ||||
\(986\) | −923.450 | − | 1599.46i | −0.936561 | − | 1.62217i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.707118 | − | 0.331852i | 0.000715706 | − | 0.000335882i | ||||
\(989\) | 131.705 | 0.133170 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1489.96 | − | 860.227i | 1.50349 | − | 0.868039i | 0.503496 | − | 0.863998i | \(-0.332047\pi\) |
0.999992 | − | 0.00404127i | \(-0.00128638\pi\) | |||||||
\(992\) | 35.9178 | − | 62.2114i | 0.0362074 | − | 0.0627131i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 171.572 | − | 297.172i | 0.172608 | − | 0.298966i | ||||
\(995\) | −561.312 | −0.564132 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −261.532 | + | 452.987i | −0.262319 | + | 0.454350i | −0.966858 | − | 0.255316i | \(-0.917821\pi\) |
0.704539 | + | 0.709666i | \(0.251154\pi\) | |||||||
\(998\) | −144.299 | − | 83.3111i | −0.144588 | − | 0.0834780i | ||||
\(999\) | 0 | 0 |
(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 | 171.3.p.c.145.3 | 6 | ||
3.2 | odd | 2 | 57.3.g.b.31.1 | ✓ | 6 | ||
12.11 | even | 2 | 912.3.be.f.145.1 | 6 | |||
19.8 | odd | 6 | inner | 171.3.p.c.46.3 | 6 | ||
57.8 | even | 6 | 57.3.g.b.46.1 | yes | 6 | ||
228.179 | odd | 6 | 912.3.be.f.673.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.3.g.b.31.1 | ✓ | 6 | 3.2 | odd | 2 | ||
57.3.g.b.46.1 | yes | 6 | 57.8 | even | 6 | ||
171.3.p.c.46.3 | 6 | 19.8 | odd | 6 | inner | ||
171.3.p.c.145.3 | 6 | 1.1 | even | 1 | trivial | ||
912.3.be.f.145.1 | 6 | 12.11 | even | 2 | |||
912.3.be.f.673.1 | 6 | 228.179 | odd | 6 |