Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.20 | ||
Character | \(\chi\) | \(=\) | 804.5 |
Dual form | 804.2.s.b.161.20 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 1.64768 | − | 0.533989i | 0.951290 | − | 0.308299i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.22357 | − | 0.652900i | 0.994413 | − | 0.291986i | 0.256251 | − | 0.966610i | \(-0.417512\pi\) |
0.738161 | + | 0.674624i | \(0.235694\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.01808 | + | 1.74867i | 0.762761 | + | 0.660936i | 0.946742 | − | 0.321994i | \(-0.104353\pi\) |
−0.183981 | + | 0.982930i | \(0.558898\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.42971 | − | 1.75969i | 0.809903 | − | 0.586563i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.819238 | − | 0.240550i | 0.247010 | − | 0.0725286i | −0.155884 | − | 0.987775i | \(-0.549823\pi\) |
0.402894 | + | 0.915247i | \(0.368004\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.65269 | + | 2.57164i | 0.458374 | + | 0.713244i | 0.991111 | − | 0.133037i | \(-0.0424729\pi\) |
−0.532737 | + | 0.846281i | \(0.678837\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.31510 | − | 2.26314i | 0.855955 | − | 0.584340i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.09528 | − | 0.732591i | −1.23579 | − | 0.177679i | −0.506714 | − | 0.862114i | \(-0.669140\pi\) |
−0.729074 | + | 0.684435i | \(0.760049\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.289069 | + | 0.333603i | 0.0663170 | + | 0.0765339i | 0.787939 | − | 0.615754i | \(-0.211148\pi\) |
−0.721622 | + | 0.692288i | \(0.756603\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.25892 | + | 1.80362i | 0.929372 | + | 0.393583i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.43322 | + | 3.39464i | −1.54993 | + | 0.707830i | −0.992483 | − | 0.122381i | \(-0.960947\pi\) |
−0.557449 | + | 0.830211i | \(0.688220\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.311737 | − | 0.200341i | 0.0623475 | − | 0.0400683i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.06373 | − | 4.19685i | 0.589616 | − | 0.807684i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 2.95311i | − | 0.548379i | −0.961676 | − | 0.274189i | \(-0.911590\pi\) | ||
0.961676 | − | 0.274189i | \(-0.0884095\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.121792 | + | 0.189512i | −0.0218745 | + | 0.0340374i | −0.852019 | − | 0.523511i | \(-0.824622\pi\) |
0.830144 | + | 0.557549i | \(0.188258\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.22139 | − | 0.833814i | 0.212617 | − | 0.145148i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.62905 | + | 2.57070i | 0.951483 | + | 0.434528i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.16503 | 0.191530 | 0.0957649 | − | 0.995404i | \(-0.469470\pi\) | ||||
0.0957649 | + | 0.995404i | \(0.469470\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.09634 | + | 3.35472i | 0.655939 | + | 0.537185i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.236280 | − | 1.64336i | 0.0369007 | − | 0.256650i | −0.963018 | − | 0.269439i | \(-0.913162\pi\) |
0.999918 | + | 0.0127888i | \(0.00407091\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.275166 | + | 0.0395630i | 0.0419625 | + | 0.00603330i | 0.163264 | − | 0.986582i | \(-0.447798\pi\) |
−0.121302 | + | 0.992616i | \(0.538707\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.25374 | − | 5.49916i | 0.634110 | − | 0.819766i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.50691 | + | 4.34166i | −1.38673 | + | 0.633296i | −0.962256 | − | 0.272146i | \(-0.912267\pi\) |
−0.424469 | + | 0.905442i | \(0.639539\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0185697 | + | 0.129155i | 0.00265282 | + | 0.0184508i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −8.78660 | + | 1.51375i | −1.23037 | + | 0.211967i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.673384 | − | 4.68349i | −0.0924965 | − | 0.643327i | −0.982346 | − | 0.187073i | \(-0.940100\pi\) |
0.889850 | − | 0.456254i | \(-0.150809\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.66458 | − | 1.06976i | 0.224452 | − | 0.144247i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.654435 | + | 0.395313i | 0.0866820 | + | 0.0523604i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.71278 | − | 8.88926i | 0.743741 | − | 1.15728i | −0.238770 | − | 0.971076i | \(-0.576744\pi\) |
0.982511 | − | 0.186207i | \(-0.0596195\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.773829 | − | 2.63542i | 0.0990787 | − | 0.337431i | −0.895004 | − | 0.446058i | \(-0.852827\pi\) |
0.994083 | + | 0.108627i | \(0.0346456\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.98046 | + | 0.697581i | 1.00544 | + | 0.0878870i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.35390 | + | 4.63918i | 0.664070 | + | 0.575420i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.57523 | − | 6.78728i | −0.558954 | − | 0.829199i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.4349 | + | 9.56254i | −1.25621 | + | 1.15119i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.96884 | − | 1.43330i | 1.18308 | − | 0.170102i | 0.477437 | − | 0.878666i | \(-0.341566\pi\) |
0.705646 | + | 0.708564i | \(0.250657\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.73985 | − | 2.85988i | −1.13996 | − | 0.334723i | −0.343347 | − | 0.939209i | \(-0.611561\pi\) |
−0.796616 | + | 0.604485i | \(0.793379\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.406664 | − | 0.496563i | 0.0469575 | − | 0.0573382i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.07393 | + | 0.947131i | 0.236346 | + | 0.107936i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.58257 | + | 7.13062i | 0.515580 | + | 0.802258i | 0.997251 | − | 0.0740942i | \(-0.0236065\pi\) |
−0.481672 | + | 0.876352i | \(0.659970\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.80699 | − | 8.55107i | 0.311887 | − | 0.950119i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.86539 | + | 9.75864i | 0.314518 | + | 1.07115i | 0.953366 | + | 0.301817i | \(0.0975931\pi\) |
−0.638848 | + | 0.769333i | \(0.720589\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.8080 | + | 1.69774i | −1.28076 | + | 0.184146i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.57693 | − | 4.86579i | −0.169065 | − | 0.521667i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.51223 | + | 0.690613i | 0.160296 | + | 0.0732049i | 0.493947 | − | 0.869492i | \(-0.335553\pi\) |
−0.333651 | + | 0.942697i | \(0.608281\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.16170 | + | 8.07977i | −0.121779 | + | 0.846990i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.0994770 | + | 0.377291i | −0.0103153 | + | 0.0391233i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.860576 | + | 0.553059i | 0.0882933 | + | 0.0567426i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.4721i | − | 1.06328i | −0.846971 | − | 0.531640i | \(-0.821576\pi\) | ||
0.846971 | − | 0.531640i | \(-0.178424\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.56722 | − | 2.02607i | 0.157511 | − | 0.203628i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.06665 | + | 1.23098i | 0.106136 | + | 0.122487i | 0.806332 | − | 0.591463i | \(-0.201450\pi\) |
−0.700196 | + | 0.713951i | \(0.746904\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.52340 | + | 2.90702i | 0.445704 | + | 0.286437i | 0.744178 | − | 0.667981i | \(-0.232841\pi\) |
−0.298474 | + | 0.954418i | \(0.596478\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 10.6476 | + | 1.22984i | 1.03910 | + | 0.120020i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.96542 | − | 6.69362i | 0.190005 | − | 0.647097i | −0.808293 | − | 0.588780i | \(-0.799608\pi\) |
0.998298 | − | 0.0583167i | \(-0.0185733\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.811372 | − | 1.26252i | −0.0777153 | − | 0.120927i | 0.800220 | − | 0.599706i | \(-0.204716\pi\) |
−0.877936 | + | 0.478779i | \(0.841080\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.91960 | − | 0.622114i | 0.182200 | − | 0.0590484i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −11.7027 | − | 3.43621i | −1.10089 | − | 0.323251i | −0.319686 | − | 0.947524i | \(-0.603577\pi\) |
−0.781207 | + | 0.624272i | \(0.785396\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.3119 | + | 12.4014i | −1.33460 | + | 1.15643i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.54084 | + | 3.34011i | 0.789601 | + | 0.308793i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −9.00160 | − | 10.3884i | −0.825175 | − | 0.952303i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.64050 | + | 5.55291i | −0.785500 | + | 0.504810i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.488224 | − | 2.83391i | −0.0440217 | − | 0.255525i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.02566 | + | 8.10804i | −0.628394 | + | 0.725205i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.32037 | + | 2.67785i | −0.205900 | + | 0.237621i | −0.849302 | − | 0.527907i | \(-0.822977\pi\) |
0.643402 | + | 0.765528i | \(0.277522\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.474513 | − | 0.0817488i | 0.0417785 | − | 0.00719758i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.34179 | − | 3.80957i | 0.728826 | − | 0.332844i | −0.0162095 | − | 0.999869i | \(-0.505160\pi\) |
0.745035 | + | 0.667025i | \(0.232433\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.17872i | 0.102208i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.07232 | − | 11.3323i | 0.350489 | − | 0.975331i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.44112 | + | 16.2938i | 0.635738 | + | 1.39207i | 0.903500 | + | 0.428587i | \(0.140989\pi\) |
−0.267762 | + | 0.963485i | \(0.586284\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.55050 | + | 22.3090i | 0.555606 | + | 1.89222i | 0.437493 | + | 0.899222i | \(0.355866\pi\) |
0.118113 | + | 0.993000i | \(0.462315\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.3460 | + | 12.2303i | −1.12393 | + | 1.02997i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.97255 | + | 1.70923i | 0.164953 | + | 0.142933i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.92809 | − | 6.56646i | −0.160119 | − | 0.545315i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.0995647 | + | 0.202891i | 0.00821196 | + | 0.0167342i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.0237 | − | 10.4186i | 0.985021 | − | 0.853526i | −0.00419440 | − | 0.999991i | \(-0.501335\pi\) |
0.989216 | + | 0.146465i | \(0.0467897\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.672096 | + | 4.67453i | −0.0546944 | + | 0.380408i | 0.944028 | + | 0.329867i | \(0.107004\pi\) |
−0.998722 | + | 0.0505414i | \(0.983905\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −13.6692 | + | 7.18613i | −1.10509 | + | 0.580964i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.147081 | + | 0.500912i | −0.0118138 | + | 0.0402342i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.57775 | − | 3.45479i | −0.125918 | − | 0.275722i | 0.836165 | − | 0.548477i | \(-0.184792\pi\) |
−0.962083 | + | 0.272755i | \(0.912065\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.61046 | − | 7.35732i | −0.286328 | − | 0.583474i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −20.9369 | − | 6.14763i | −1.65006 | − | 0.484501i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.9465 | −1.24903 | −0.624513 | − | 0.781014i | \(-0.714703\pi\) | ||||
−0.624513 | + | 0.781014i | \(0.714703\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.17146 | − | 2.65150i | 0.169048 | − | 0.206419i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.28474 | − | 4.57925i | 0.408945 | − | 0.354353i | −0.425964 | − | 0.904740i | \(-0.640065\pi\) |
0.834910 | + | 0.550387i | \(0.185520\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.51847 | − | 3.32498i | 0.116805 | − | 0.255767i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.28939 | + | 0.301888i | 0.0986023 | + | 0.0230860i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.87305 | − | 10.6947i | 0.522549 | − | 0.813102i | −0.475220 | − | 0.879867i | \(-0.657632\pi\) |
0.997769 | + | 0.0667654i | \(0.0212679\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.979441 | + | 0.140822i | 0.0740388 | + | 0.0106452i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.66607 | − | 17.6972i | 0.350724 | − | 1.33021i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.73917 | + | 21.3258i | −0.727940 | + | 1.59397i | 0.0744916 | + | 0.997222i | \(0.476267\pi\) |
−0.802431 | + | 0.596744i | \(0.796461\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.21188 | − | 15.7918i | −0.536055 | − | 1.17380i | −0.962996 | − | 0.269517i | \(-0.913136\pi\) |
0.426940 | − | 0.904280i | \(-0.359591\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.132262 | − | 4.75555i | −0.00977712 | − | 0.351540i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.59053 | − | 0.760648i | 0.190460 | − | 0.0559240i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.35047 | + | 0.625504i | −0.318138 | + | 0.0457414i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.5218 | − | 3.11209i | 0.983563 | − | 0.226371i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.82175 | + | 14.9376i | −0.493605 | + | 1.08084i | 0.484891 | + | 0.874575i | \(0.338859\pi\) |
−0.978495 | + | 0.206269i | \(0.933868\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.3945 | − | 9.89347i | −1.10812 | − | 0.712148i | −0.147240 | − | 0.989101i | \(-0.547039\pi\) |
−0.960883 | + | 0.276953i | \(0.910675\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.2988 | + | 4.78497i | 0.809124 | + | 0.342659i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.451957 | − | 3.14343i | −0.0322006 | − | 0.223960i | 0.967366 | − | 0.253381i | \(-0.0815427\pi\) |
−0.999567 | + | 0.0294210i | \(0.990634\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.07432 | + | 3.54796i | −0.217933 | + | 0.251508i | −0.854180 | − | 0.519977i | \(-0.825940\pi\) |
0.636247 | + | 0.771485i | \(0.280486\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.1629 | − | 8.74016i | −0.787368 | − | 0.616483i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.16402 | − | 5.95960i | 0.362443 | − | 0.418282i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.547566 | − | 3.80840i | −0.0382437 | − | 0.265991i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −12.0871 | + | 21.3281i | −0.840108 | + | 1.48241i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.317065 | + | 0.203765i | 0.0219318 | + | 0.0140947i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.80239 | + | 19.2745i | −0.605981 | + | 1.32691i | 0.319307 | + | 0.947651i | \(0.396550\pi\) |
−0.925289 | + | 0.379263i | \(0.876178\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 15.6601 | − | 7.68488i | 1.07301 | − | 0.526559i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.637684 | − | 0.0916851i | 0.0434897 | − | 0.00625287i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.577180 | + | 0.169475i | −0.0391815 | + | 0.0115047i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −17.5753 | + | 0.488809i | −1.18763 | + | 0.0330306i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.53697 | − | 14.3140i | −0.439724 | − | 0.962861i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.563061 | − | 1.23293i | 0.0377053 | − | 0.0825632i | −0.889842 | − | 0.456269i | \(-0.849186\pi\) |
0.927547 | + | 0.373705i | \(0.121913\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.404893 | − | 1.03533i | 0.0269929 | − | 0.0690222i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.27145 | − | 0.614142i | −0.283506 | − | 0.0407621i | −0.000905286 | − | 1.00000i | \(-0.500288\pi\) |
−0.282601 | + | 0.959238i | \(0.591197\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.29606 | + | 3.57274i | −0.151728 | + | 0.236093i | −0.908794 | − | 0.417245i | \(-0.862996\pi\) |
0.757066 | + | 0.653338i | \(0.226632\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.92293 | + | 0.453115i | 0.258110 | + | 0.0298128i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −9.12364 | + | 19.9780i | −0.597710 | + | 1.30880i | 0.332960 | + | 0.942941i | \(0.391953\pi\) |
−0.930670 | + | 0.365860i | \(0.880775\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −18.3047 | + | 15.8611i | −1.19406 | + | 1.03466i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 11.3583 | + | 9.30195i | 0.737801 | + | 0.604227i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.7021 | 1.46848 | 0.734239 | − | 0.678891i | \(-0.237539\pi\) | ||||
0.734239 | + | 0.678891i | \(0.237539\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.9742 | − | 4.69045i | −1.02899 | − | 0.302139i | −0.276690 | − | 0.960959i | \(-0.589237\pi\) |
−0.752300 | + | 0.658821i | \(0.771056\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.0588374 | − | 15.5883i | 0.00377442 | − | 0.999993i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.125617 | + | 0.275063i | 0.00802537 | + | 0.0175731i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.380165 | + | 1.29472i | −0.0241893 | + | 0.0823813i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.93227 | + | 14.5490i | 0.629432 | + | 0.922008i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.96791 | + | 13.6871i | −0.124214 | + | 0.863924i | 0.828486 | + | 0.560010i | \(0.189203\pi\) |
−0.952699 | + | 0.303914i | \(0.901706\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.27299 | + | 4.56908i | −0.331510 | + | 0.287255i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −18.5493 | + | 9.10271i | −1.16160 | + | 0.570034i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.64284 | − | 5.59501i | −0.102478 | − | 0.349007i | 0.892252 | − | 0.451537i | \(-0.149124\pi\) |
−0.994730 | + | 0.102530i | \(0.967306\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.35112 | + | 2.03726i | 0.146091 | + | 0.126589i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.19656 | − | 7.17520i | −0.321659 | − | 0.444134i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.40171 | − | 18.3965i | −0.333084 | − | 1.13438i | −0.940443 | − | 0.339951i | \(-0.889589\pi\) |
0.607359 | − | 0.794427i | \(-0.292229\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.55517 | − | 9.97444i | −0.279822 | − | 0.612725i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.86046 | + | 0.330395i | 0.175057 | + | 0.0202198i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 17.8647i | 1.08923i | 0.838687 | + | 0.544614i | \(0.183324\pi\) | ||||
−0.838687 | + | 0.544614i | \(0.816676\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.89142 | − | 1.77715i | 0.236387 | − | 0.107954i | −0.293700 | − | 0.955898i | \(-0.594887\pi\) |
0.530087 | + | 0.847943i | \(0.322159\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.40041 | + | 13.9332i | 0.145279 | + | 0.843277i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.207195 | − | 0.239116i | 0.0124943 | − | 0.0144192i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.5491 | − | 19.0987i | 0.994342 | − | 1.14753i | 0.00528681 | − | 0.999986i | \(-0.498317\pi\) |
0.989055 | − | 0.147546i | \(-0.0471374\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.0375631 | + | 0.674775i | 0.00224884 | + | 0.0403977i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.23786 | − | 4.00883i | 0.372120 | − | 0.239147i | −0.341192 | − | 0.939994i | \(-0.610831\pi\) |
0.713312 | + | 0.700847i | \(0.247194\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.1467 | + | 15.1721i | 0.781489 | + | 0.901886i | 0.997216 | − | 0.0745676i | \(-0.0237576\pi\) |
−0.215727 | + | 0.976454i | \(0.569212\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.71328 | + | 0.451726i | 0.101486 | + | 0.0267580i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.35053 | − | 2.90325i | 0.197776 | − | 0.171374i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.11383 | + | 2.67606i | 0.536108 | + | 0.157415i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.59199 | − | 17.2547i | −0.327808 | − | 1.01149i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.63596 | + | 11.8818i | 0.446098 | + | 0.694141i | 0.989371 | − | 0.145415i | \(-0.0464516\pi\) |
−0.543273 | + | 0.839556i | \(0.682815\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.89899 | − | 23.4958i | 0.401675 | − | 1.36798i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.50038 | − | 4.17520i | 0.0870606 | − | 0.242270i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −21.0146 | − | 13.5052i | −1.21530 | − | 0.781029i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.486124 | + | 0.561017i | 0.0280197 | + | 0.0323365i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.41484 | + | 1.45869i | 0.138729 | + | 0.0837994i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 6.36529i | − | 0.364475i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.6764 | + | 6.86130i | 0.609333 | + | 0.391595i | 0.808607 | − | 0.588349i | \(-0.200222\pi\) |
−0.199274 | + | 0.979944i | \(0.563858\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.00545 | + | 2.37439i | 0.512302 | + | 0.135074i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.43808 | + | 23.9124i | −0.194956 | + | 1.35595i | 0.623700 | + | 0.781664i | \(0.285629\pi\) |
−0.818656 | + | 0.574284i | \(0.805281\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.0420 | − | 4.58604i | −0.567609 | − | 0.259218i | 0.110874 | − | 0.993834i | \(-0.464635\pi\) |
−0.678483 | + | 0.734616i | \(0.737362\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 18.2006 | − | 3.65932i | 1.02549 | − | 0.206179i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 15.0821 | − | 2.16848i | 0.847095 | − | 0.121794i | 0.294920 | − | 0.955522i | \(-0.404707\pi\) |
0.552175 | + | 0.833728i | \(0.313798\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.710371 | − | 2.41930i | −0.0397731 | − | 0.135455i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.335929 | − | 12.0785i | −0.0187497 | − | 0.674154i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.22849 | − | 1.91157i | −0.0683552 | − | 0.106363i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.03041 | + | 0.470573i | 0.0571569 | + | 0.0261027i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.01105 | − | 1.64697i | −0.111212 | − | 0.0910774i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −26.7778 | − | 7.86267i | −1.47631 | − | 0.433483i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.5531 | − | 2.95508i | 1.12970 | − | 0.162426i | 0.447982 | − | 0.894043i | \(-0.352143\pi\) |
0.681716 | + | 0.731617i | \(0.261234\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.83069 | − | 2.05009i | 0.155121 | − | 0.112344i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −14.6048 | − | 12.1049i | −0.797945 | − | 0.661359i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.1591 | + | 8.80291i | 0.553401 | + | 0.479525i | 0.886091 | − | 0.463511i | \(-0.153411\pi\) |
−0.332690 | + | 0.943036i | \(0.607956\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −21.1171 | + | 0.587315i | −1.14693 | + | 0.0318986i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.0541895 | + | 0.184553i | −0.00293453 | + | 0.00999408i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.91732 | − | 15.4317i | 0.535485 | − | 0.833231i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −16.9593 | + | 28.0759i | −0.913060 | + | 1.51156i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.56322 | + | 4.21793i | −0.352332 | + | 0.226430i | −0.704820 | − | 0.709386i | \(-0.748972\pi\) |
0.352488 | + | 0.935816i | \(0.385336\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.40747 | − | 30.6546i | −0.235926 | − | 1.64090i | −0.671682 | − | 0.740840i | \(-0.734428\pi\) |
0.435755 | − | 0.900065i | \(-0.356481\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.8562 | + | 0.942720i | 0.846340 | + | 0.0503187i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.80519 | + | 12.5554i | 0.0960806 | + | 0.668255i | 0.979762 | + | 0.200166i | \(0.0641482\pi\) |
−0.883681 | + | 0.468089i | \(0.844943\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 21.2307 | − | 9.69571i | 1.12681 | − | 0.514595i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −20.3791 | − | 12.3100i | −1.07857 | − | 0.651515i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.24774 | − | 0.323176i | −0.118631 | − | 0.0170566i | 0.0827435 | − | 0.996571i | \(-0.473632\pi\) |
−0.201375 | + | 0.979514i | \(0.564541\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.67625 | − | 18.6137i | 0.140855 | − | 0.979670i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −11.2716 | + | 13.7634i | −0.591606 | + | 0.722390i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −23.5245 | −1.23133 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.6118 | + | 8.95640i | 1.02373 | + | 0.467520i | 0.855267 | − | 0.518188i | \(-0.173393\pi\) |
0.168460 | + | 0.985708i | \(0.446121\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.31772 | − | 4.40867i | −0.120655 | − | 0.229506i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.83095 | − | 10.6292i | 0.354645 | − | 0.551839i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 35.5582i | 1.84113i | 0.390587 | + | 0.920566i | \(0.372272\pi\) | ||||
−0.390587 | + | 0.920566i | \(0.627728\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.24644 | + | 17.1111i | −0.374205 | + | 0.883613i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.59433 | − | 4.88058i | 0.391128 | − | 0.251363i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.58430 | − | 3.00695i | 0.338213 | − | 0.154457i | −0.239067 | − | 0.971003i | \(-0.576842\pi\) |
0.577280 | + | 0.816546i | \(0.304114\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.39329 | + | 5.65130i | −0.122612 | + | 0.289525i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.0397 | − | 11.5864i | −0.513003 | − | 0.592037i | 0.438862 | − | 0.898554i | \(-0.355382\pi\) |
−0.951865 | + | 0.306517i | \(0.900836\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.22992 | + | 0.751948i | 0.266541 | + | 0.0383228i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.738193 | − | 0.388081i | 0.0375245 | − | 0.0197273i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.293311 | + | 0.456400i | 0.0148714 | + | 0.0231404i | 0.848610 | − | 0.529019i | \(-0.177440\pi\) |
−0.833738 | + | 0.552160i | \(0.813804\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 40.3612 | − | 11.8511i | 2.04115 | − | 0.599337i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.7104 | − | 10.7314i | 0.590709 | − | 0.541327i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 14.8453 | + | 12.8635i | 0.746947 | + | 0.647233i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 30.3256 | − | 8.90441i | 1.52200 | − | 0.446900i | 0.589410 | − | 0.807834i | \(-0.299360\pi\) |
0.932591 | + | 0.360935i | \(0.117542\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.629426 | + | 1.94216i | 0.0315107 | + | 0.0972297i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 36.7151 | 1.83346 | 0.916732 | − | 0.399504i | \(-0.130818\pi\) | ||||
0.916732 | + | 0.399504i | \(0.130818\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.688641 | −0.0343036 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.658545 | − | 20.8466i | 0.0327233 | − | 1.03588i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.954437 | − | 0.280248i | 0.0473097 | − | 0.0138914i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.203823 | + | 0.176614i | 0.0100784 | + | 0.00873298i | 0.659885 | − | 0.751366i | \(-0.270605\pi\) |
−0.649807 | + | 0.760099i | \(0.725150\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 20.9613 | + | 22.8735i | 1.03395 | + | 1.12827i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 27.0732 | − | 7.94942i | 1.33219 | − | 0.391165i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.7428 | + | 19.8282i | 0.625521 | + | 0.973330i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 22.7059 | + | 33.2602i | 1.11191 | + | 1.62876i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 20.6344 | + | 2.96678i | 1.00806 | + | 0.144937i | 0.626511 | − | 0.779413i | \(-0.284483\pi\) |
0.381547 | + | 0.924350i | \(0.375392\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.46031 | − | 8.60966i | −0.363593 | − | 0.419609i | 0.544247 | − | 0.838925i | \(-0.316815\pi\) |
−0.907840 | + | 0.419316i | \(0.862270\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −15.4591 | + | 27.2782i | −0.751645 | + | 1.32631i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.73516 | + | 0.792420i | −0.0841675 | + | 0.0384380i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.17013 | − | 3.96530i | 0.298594 | − | 0.191894i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 4.16285 | + | 1.76294i | 0.200984 | + | 0.0851156i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 33.4433i | − | 1.61091i | −0.592657 | − | 0.805455i | \(-0.701921\pi\) | ||
0.592657 | − | 0.805455i | \(-0.298079\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.3658 | + | 23.9097i | −0.738434 | + | 1.14903i | 0.245310 | + | 0.969445i | \(0.421110\pi\) |
−0.983743 | + | 0.179580i | \(0.942526\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.68329 | − | 9.78986i | −0.320439 | − | 0.469388i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.28117 | − | 1.49846i | −0.156960 | − | 0.0716812i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.0398 | 1.57690 | 0.788451 | − | 0.615097i | \(-0.210883\pi\) | ||||
0.788451 | + | 0.615097i | \(0.210883\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.272393 | + | 0.281133i | 0.0129711 | + | 0.0133873i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.63553 | − | 18.3305i | 0.125218 | − | 0.870908i | −0.826282 | − | 0.563257i | \(-0.809548\pi\) |
0.951499 | − | 0.307651i | \(-0.0995429\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.81346 | + | 0.548293i | 0.180775 | + | 0.0259916i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 14.2478 | − | 23.5871i | 0.673899 | − | 1.11563i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.0867474 | − | 0.0396162i | 0.00409386 | − | 0.00186960i | −0.413367 | − | 0.910564i | \(-0.635647\pi\) |
0.417461 | + | 0.908695i | \(0.362920\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.201741 | − | 1.40314i | −0.00949963 | − | 0.0660714i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.38875 | + | 8.06103i | 0.0652492 | + | 0.378740i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.69217 | + | 18.7244i | 0.126211 | + | 0.877816i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 21.0770 | − | 13.5453i | 0.985939 | − | 0.633625i | 0.0548801 | − | 0.998493i | \(-0.482522\pi\) |
0.931059 | + | 0.364868i | \(0.118886\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −18.6852 | + | 19.1397i | −0.872149 | + | 0.893363i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.20038 | + | 12.7600i | −0.381930 | + | 0.594295i | −0.977992 | − | 0.208644i | \(-0.933095\pi\) |
0.596062 | + | 0.802939i | \(0.296731\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.69457 | + | 15.9882i | −0.218175 | + | 0.743037i | 0.775560 | + | 0.631274i | \(0.217468\pi\) |
−0.993735 | + | 0.111762i | \(0.964350\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.0251390 | + | 0.903884i | 0.00116579 | + | 0.0419166i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −21.7502 | − | 18.8467i | −1.00648 | − | 0.872119i | −0.0146757 | − | 0.999892i | \(-0.504672\pi\) |
−0.991803 | + | 0.127773i | \(0.959217\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.63557 | − | 21.6978i | 0.121699 | − | 1.00191i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.44445 | − | 4.84989i | −0.204789 | − | 0.223471i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.234944 | − | 0.0337798i | 0.0108027 | − | 0.00155320i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.156948 | + | 0.0460842i | 0.00720128 | + | 0.00211449i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.87762 | − | 10.1946i | −0.452265 | − | 0.466778i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 13.2034 | + | 6.02980i | 0.603279 | + | 0.275509i | 0.693550 | − | 0.720409i | \(-0.256046\pi\) |
−0.0902702 | + | 0.995917i | \(0.528773\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.92543 | + | 2.99603i | 0.0877922 | + | 0.136607i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −37.7801 | + | 1.05075i | −1.71905 | + | 0.0478107i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.83723 | − | 23.2855i | −0.310463 | − | 1.05734i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 22.7140 | − | 3.26578i | 1.02927 | − | 0.147986i | 0.393067 | − | 0.919510i | \(-0.371414\pi\) |
0.636201 | + | 0.771523i | \(0.280505\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −26.2748 | + | 8.51526i | −1.18819 | + | 0.385073i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.3009 | − | 6.07431i | −0.600261 | − | 0.274130i | 0.0920211 | − | 0.995757i | \(-0.470667\pi\) |
−0.692282 | + | 0.721627i | \(0.743395\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.16342 | + | 15.0469i | −0.0974356 | + | 0.677680i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.16200 | − | 5.52836i | 0.0971748 | − | 0.248481i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 22.6242 | + | 14.5397i | 1.01484 | + | 0.652196i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.86407i | 0.441576i | 0.975322 | + | 0.220788i | \(0.0708629\pi\) | ||||
−0.975322 | + | 0.220788i | \(0.929137\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.26230 | − | 10.3671i | 0.279779 | − | 0.463170i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 25.6829 | + | 29.6397i | 1.14515 | + | 1.32157i | 0.939345 | + | 0.342974i | \(0.111434\pi\) |
0.205801 | + | 0.978594i | \(0.434020\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.17549 | + | 2.04077i | 0.141308 | + | 0.0908129i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.726446 | − | 6.28935i | 0.0322626 | − | 0.279320i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −4.71240 | + | 16.0490i | −0.208873 | + | 0.711358i | 0.786697 | + | 0.617339i | \(0.211789\pi\) |
−0.995570 | + | 0.0940184i | \(0.970029\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.6548 | − | 22.8033i | −0.648289 | − | 1.00876i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.28571 | − | 0.191107i | 0.100917 | − | 0.00843756i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 11.9561 | + | 3.51063i | 0.526849 | + | 0.154697i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.74404 | + | 5.84374i | −0.296602 | + | 0.257007i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.61376 | − | 21.2916i | 0.246417 | − | 0.934596i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 12.8160 | + | 14.7905i | 0.561481 | + | 0.647983i | 0.963519 | − | 0.267639i | \(-0.0862436\pi\) |
−0.402038 | + | 0.915623i | \(0.631698\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.6769 | + | 16.5016i | −1.12277 | + | 0.721563i | −0.964040 | − | 0.265759i | \(-0.914378\pi\) |
−0.158734 | + | 0.987321i | \(0.550741\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.68900 | − | 0.290981i | 0.0737142 | − | 0.0126994i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.759399 | − | 0.876394i | 0.0330800 | − | 0.0381763i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 28.6673 | − | 33.0839i | 1.24641 | − | 1.43843i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.76193 | − | 31.6510i | −0.0764614 | − | 1.37354i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.61663 | − | 2.10834i | 0.199968 | − | 0.0913225i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 16.1670i | − | 0.698960i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.65930 | + | 40.3388i | −0.201063 | + | 1.74075i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.0462814 | + | 0.101342i | 0.00199348 | + | 0.00436511i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.3523 | + | 42.0681i | 0.531067 | + | 1.80865i | 0.586198 | + | 0.810168i | \(0.300624\pi\) |
−0.0551315 | + | 0.998479i | \(0.517558\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −20.3156 | − | 22.1688i | −0.871824 | − | 0.951355i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.62845 | − | 2.27756i | −0.112590 | − | 0.0975600i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.2118 | − | 41.5897i | −0.522141 | − | 1.77825i | −0.621743 | − | 0.783221i | \(-0.713575\pi\) |
0.0996027 | − | 0.995027i | \(-0.468243\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.75734 | − | 7.76501i | −0.117680 | − | 0.331402i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.985168 | − | 0.853653i | 0.0419696 | − | 0.0363668i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.22114 | + | 22.4036i | −0.136977 | + | 0.952696i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.86219 | − | 2.63662i | 0.163941 | − | 0.111918i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.56898 | − | 8.74915i | 0.108851 | − | 0.370713i | −0.886993 | − | 0.461782i | \(-0.847210\pi\) |
0.995845 | + | 0.0910688i | \(0.0290283\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.353023 | + | 0.773014i | 0.0149313 | + | 0.0326950i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.83418 | + | 3.35374i | −0.288540 | + | 0.141595i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 14.3375 | + | 4.20987i | 0.604253 | + | 0.177425i | 0.569528 | − | 0.821972i | \(-0.307126\pi\) |
0.0347256 | + | 0.999397i | \(0.488944\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −28.2652 | −1.18913 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 20.6177 | − | 12.3482i | 0.865863 | − | 0.518576i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.7257 | − | 9.29384i | 0.449643 | − | 0.389618i | −0.400392 | − | 0.916344i | \(-0.631126\pi\) |
0.850035 | + | 0.526726i | \(0.176581\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.24451 | − | 9.29417i | 0.177627 | − | 0.388949i | −0.799787 | − | 0.600285i | \(-0.795054\pi\) |
0.977414 | + | 0.211336i | \(0.0677813\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.26358 | + | 28.2551i | −0.136338 | + | 1.18037i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.63712 | + | 2.54742i | −0.0682728 | + | 0.106235i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.1115 | + | 3.17915i | 0.920514 | + | 0.132350i | 0.586251 | − | 0.810130i | \(-0.300603\pi\) |
0.334263 | + | 0.942480i | \(0.391512\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −30.6483 | − | 8.08077i | −1.27370 | − | 0.335825i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.2821 | + | 24.7043i | −0.468059 | + | 1.02491i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.67828 | − | 3.67491i | −0.0695071 | − | 0.152199i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 21.1720 | + | 1.85067i | 0.875353 | + | 0.0765156i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −38.0598 | + | 11.1754i | −1.57090 | + | 0.461257i | −0.947262 | − | 0.320460i | \(-0.896163\pi\) |
−0.623634 | + | 0.781717i | \(0.714344\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0984282 | + | 0.0141518i | −0.00405566 | + | 0.000583116i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.42324 | − | 4.93804i | −0.0996788 | − | 0.203124i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.07433 | − | 8.92153i | 0.167313 | − | 0.366363i | −0.807340 | − | 0.590086i | \(-0.799094\pi\) |
0.974653 | + | 0.223723i | \(0.0718210\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −26.7983 | − | 17.2222i | −1.09862 | − | 0.706043i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.17093 | + | 7.48756i | −0.129778 | + | 0.306445i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.18426 | − | 36.0573i | −0.211823 | − | 1.47326i | −0.767063 | − | 0.641572i | \(-0.778282\pi\) |
0.555239 | − | 0.831691i | \(-0.312627\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.1318 | − | 27.8496i | 0.984356 | − | 1.13601i | −0.00634899 | − | 0.999980i | \(-0.502021\pi\) |
0.990705 | − | 0.136028i | \(-0.0434336\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −23.0600 | − | 8.44015i | −0.939076 | − | 0.343709i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −15.5873 | + | 17.9887i | −0.633714 | + | 0.731345i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.89566 | − | 20.1398i | −0.117531 | − | 0.817448i | −0.960260 | − | 0.279109i | \(-0.909961\pi\) |
0.842728 | − | 0.538339i | \(-0.180948\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.32630 | − | 12.5771i | 0.215833 | − | 0.509648i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −26.8772 | − | 17.2729i | −1.08733 | − | 0.698787i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.0272 | + | 26.3359i | −0.485775 | + | 1.06370i | 0.495060 | + | 0.868859i | \(0.335146\pi\) |
−0.980835 | + | 0.194840i | \(0.937581\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.93586 | − | 5.98264i | −0.118385 | − | 0.241244i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −47.8677 | + | 6.88234i | −1.92708 | + | 0.277073i | −0.996117 | − | 0.0880352i | \(-0.971941\pi\) |
−0.930965 | + | 0.365108i | \(0.881032\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.6821 | + | 3.43018i | −0.469544 | + | 0.137871i | −0.507941 | − | 0.861392i | \(-0.669593\pi\) |
0.0383967 | + | 0.999263i | \(0.487775\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −8.52662 | + | 41.5963i | −0.342162 | + | 1.66920i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.84414 | + | 4.03811i | 0.0738840 | + | 0.161783i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0980 | + | 24.3013i | −0.443921 | + | 0.972051i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.631230 | + | 0.166431i | 0.0252089 | + | 0.00664661i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.93616 | − | 0.853490i | −0.236690 | − | 0.0340309i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.12766 | + | 1.75467i | −0.0448914 | + | 0.0698524i | −0.862974 | − | 0.505248i | \(-0.831401\pi\) |
0.818082 | + | 0.575101i | \(0.195037\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.21113 | + | 36.4587i | −0.167377 | + | 1.44910i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.41115 | + | 7.46937i | −0.135367 | + | 0.296413i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.301451 | + | 0.261209i | −0.0119439 | + | 0.0103495i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 21.6992 | − | 21.0246i | 0.858408 | − | 0.831719i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −32.2874 | −1.27528 | −0.637639 | − | 0.770336i | \(-0.720089\pi\) | ||||
−0.637639 | + | 0.770336i | \(0.720089\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.9797 | − | 8.21557i | −1.10341 | − | 0.323991i | −0.321204 | − | 0.947010i | \(-0.604088\pi\) |
−0.782206 | + | 0.623019i | \(0.785906\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.00174 | − | 0.491584i | 0.0394435 | − | 0.0193561i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.4040 | − | 22.7815i | −0.409023 | − | 0.895635i | −0.996275 | − | 0.0862309i | \(-0.972518\pi\) |
0.587253 | − | 0.809404i | \(-0.300210\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.54182 | − | 8.65663i | 0.0997750 | − | 0.339802i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.860511 | + | 0.587449i | −0.0337261 | + | 0.0230240i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.38879 | − | 23.5696i | 0.132614 | − | 0.922348i | −0.809516 | − | 0.587098i | \(-0.800270\pi\) |
0.942129 | − | 0.335250i | \(-0.108821\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.0613 | − | 13.9172i | 0.627568 | − | 0.543791i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −28.6975 | + | 10.1904i | −1.11960 | + | 0.397567i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.05336 | + | 17.2102i | 0.196851 | + | 0.670413i | 0.997460 | + | 0.0712260i | \(0.0226911\pi\) |
−0.800609 | + | 0.599187i | \(0.795491\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.39807 | − | 2.94445i | −0.132170 | − | 0.114526i | 0.586267 | − | 0.810118i | \(-0.300597\pi\) |
−0.718437 | + | 0.695592i | \(0.755142\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.4143 | − | 20.0942i | −0.715154 | − | 0.780393i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.769589 | + | 2.62098i | 0.0298434 | + | 0.101637i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.0247 | + | 21.9511i | 0.388159 | + | 0.849950i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.269373 | − | 2.33215i | 0.0104146 | − | 0.0901660i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 2.34518i | − | 0.0905347i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.05052 | + | 2.76318i | −0.233230 | + | 0.106513i | −0.528602 | − | 0.848870i | \(-0.677284\pi\) |
0.295372 | + | 0.955382i | \(0.404556\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.114278 | − | 1.92211i | 0.00439855 | − | 0.0739819i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 17.5361 | − | 20.2377i | 0.673967 | − | 0.777800i | −0.311024 | − | 0.950402i | \(-0.600672\pi\) |
0.984992 | + | 0.172602i | \(0.0552176\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.3123 | − | 21.1335i | 0.702760 | − | 0.811028i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.36594 | + | 1.26900i | −0.282264 | + | 0.0486282i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −35.1796 | + | 22.6085i | −1.34611 | + | 0.865092i | −0.997395 | − | 0.0721370i | \(-0.977018\pi\) |
−0.348715 | + | 0.937229i | \(0.613382\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 27.1841 | + | 31.3721i | 1.03865 | + | 1.19867i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.87537 | + | 7.11280i | −0.0715498 | + | 0.271370i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.9313 | − | 9.47206i | 0.416451 | − | 0.360857i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −29.0762 | − | 8.53754i | −1.10611 | − | 0.324783i | −0.322833 | − | 0.946456i | \(-0.604635\pi\) |
−0.783277 | + | 0.621673i | \(0.786453\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 6.70570 | − | 1.34821i | 0.254728 | − | 0.0512144i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 29.1311 | + | 45.3288i | 1.10500 | + | 1.71942i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.40782 | + | 8.20030i | −0.0912028 | + | 0.310608i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.36482 | + | 37.7893i | −0.165093 | + | 1.42932i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.64757 | + | 4.91479i | 0.288845 | + | 0.185629i | 0.677037 | − | 0.735949i | \(-0.263264\pi\) |
−0.388192 | + | 0.921579i | \(0.626900\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.336774 | + | 0.388658i | 0.0127017 | + | 0.0146585i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.6906 | + | 35.9085i | −0.816915 | + | 1.35239i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 4.34945i | 0.163578i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.8810 | − | 13.4194i | −0.784204 | − | 0.503977i | 0.0862225 | − | 0.996276i | \(-0.472520\pi\) |
−0.870426 | + | 0.492299i | \(0.836157\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 23.6820 | + | 9.26144i | 0.888145 | + | 0.347331i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.261982 | − | 1.82212i | 0.00981129 | − | 0.0682390i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.50208 | + | 2.51271i | 0.205766 | + | 0.0939702i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 37.4059 | − | 12.1227i | 1.39695 | − | 0.452730i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 34.6967 | − | 4.98863i | 1.29397 | − | 0.186044i | 0.539278 | − | 0.842128i | \(-0.318697\pi\) |
0.754689 | + | 0.656083i | \(0.227788\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.04515 | + | 13.7765i | 0.150649 | + | 0.513065i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −28.8251 | + | 0.801689i | −1.07202 | + | 0.0298151i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.591630 | − | 0.920595i | −0.0219726 | − | 0.0341900i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.5087 | − | 14.8462i | −1.20568 | − | 0.550616i | −0.291754 | − | 0.956493i | \(-0.594239\pi\) |
−0.913928 | + | 0.405877i | \(0.866966\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −8.22707 | − | 25.7161i | −0.304706 | − | 0.952446i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.37307 | − | 0.403169i | −0.0507847 | − | 0.0149117i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.4566 | + | 5.67300i | −1.45736 | + | 0.209537i | −0.824999 | − | 0.565135i | \(-0.808824\pi\) |
−0.632363 | + | 0.774672i | \(0.717915\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.353857 | + | 0.386137i | 0.0130522 | + | 0.0142429i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −5.38089 | − | 4.45983i | −0.198208 | − | 0.164280i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.8403 | − | 14.5922i | −0.619480 | − | 0.536782i | 0.287595 | − | 0.957752i | \(-0.407144\pi\) |
−0.907075 | + | 0.420970i | \(0.861690\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0649776 | + | 2.33630i | 0.00238701 | + | 0.0858260i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.18990 | − | 10.8638i | 0.117026 | − | 0.398554i | −0.880058 | − | 0.474866i | \(-0.842496\pi\) |
0.997084 | + | 0.0763124i | \(0.0243146\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 19.9333 | − | 31.0169i | 0.730300 | − | 1.13637i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 24.1343 | + | 18.6685i | 0.883026 | + | 0.683043i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 15.6713 | − | 10.0713i | 0.572618 | − | 0.367999i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.83220 | + | 26.6535i | 0.139839 | + | 0.972600i | 0.932044 | + | 0.362345i | \(0.118024\pi\) |
−0.792205 | + | 0.610255i | \(0.791067\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.06629 | + | 23.6029i | 0.148184 | + | 0.860137i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.55755 | + | 10.8330i | 0.0566850 | + | 0.394253i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.5988 | − | 7.58043i | 0.603295 | − | 0.275515i | −0.0902614 | − | 0.995918i | \(-0.528770\pi\) |
0.693556 | + | 0.720403i | \(0.256043\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −6.24838 | + | 10.3441i | −0.226802 | + | 0.375467i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 18.3174 | + | 2.63364i | 0.664004 | + | 0.0954693i | 0.466072 | − | 0.884747i | \(-0.345669\pi\) |
0.197931 | + | 0.980216i | \(0.436578\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.570323 | − | 3.96668i | 0.0206471 | − | 0.143604i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −25.7026 | + | 24.9035i | −0.929281 | + | 0.900389i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 32.3014 | 1.16634 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.33843 | + | 0.611241i | 0.0482651 | + | 0.0220419i | 0.439401 | − | 0.898291i | \(-0.355191\pi\) |
−0.391136 | + | 0.920333i | \(0.627918\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.69456 | − | 8.34153i | −0.205084 | − | 0.300413i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −17.7219 | + | 27.5759i | −0.637413 | + | 0.991835i | 0.360832 | + | 0.932631i | \(0.382493\pi\) |
−0.998246 | + | 0.0592040i | \(0.981144\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.0834780i | 0.00299862i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.96177 | + | 2.10128i | 0.178002 | + | 0.0753829i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.616532 | − | 0.396221i | 0.0220896 | − | 0.0141961i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.82207 | − | 3.57222i | 0.279896 | − | 0.127824i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −12.3938 | − | 9.04754i | −0.442917 | − | 0.323333i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.76387 | − | 6.65186i | −0.205721 | − | 0.237415i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −33.0371 | − | 4.75002i | −1.17765 | − | 0.169320i | −0.474428 | − | 0.880294i | \(-0.657345\pi\) |
−0.703218 | + | 0.710974i | \(0.748254\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −18.7239 | − | 27.4272i | −0.666587 | − | 0.976433i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −17.6080 | − | 27.3986i | −0.626070 | − | 0.974183i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.05624 | − | 2.36553i | 0.286086 | − | 0.0840023i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.8317 | − | 14.0023i | −0.455094 | − | 0.496610i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 38.5423 | + | 33.3971i | 1.36524 | + | 1.18299i | 0.963651 | + | 0.267165i | \(0.0860869\pi\) |
0.401588 | + | 0.915821i | \(0.368459\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 51.6210 | − | 15.1573i | 1.82622 | − | 0.536227i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.88955 | − | 0.983069i | 0.172764 | − | 0.0347350i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8.66720 | −0.305859 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −50.5685 | −1.78231 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.53955 | + | 29.4353i | 0.335808 | + | 1.03617i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −32.8857 | + | 9.65612i | −1.15620 | + | 0.339491i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
−0.353245 | + | 0.935531i | \(0.614922\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.7758 | + | 11.0703i | 0.448618 | + | 0.388730i | 0.849661 | − | 0.527330i | \(-0.176807\pi\) |
−0.401043 | + | 0.916059i | \(0.631352\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.46284 | − | 5.00616i | 0.191590 | − | 0.175574i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −35.4582 | + | 10.4115i | −1.24205 | + | 0.364698i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0663438 | + | 0.103233i | 0.00232107 | + | 0.00361166i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 11.3953 | + | 21.6757i | 0.398184 | + | 0.757411i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.1471 | + | 3.04049i | 0.738037 | + | 0.106114i | 0.501073 | − | 0.865405i | \(-0.332939\pi\) |
0.236964 | + | 0.971518i | \(0.423848\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.89496 | − | 4.49502i | −0.135770 | − | 0.156687i | 0.683793 | − | 0.729676i | \(-0.260329\pi\) |
−0.819563 | + | 0.572989i | \(0.805784\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.213706 | − | 0.504627i | 0.00744029 | − | 0.0175688i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 50.0100 | − | 22.8388i | 1.73902 | − | 0.794183i | 0.747493 | − | 0.664269i | \(-0.231257\pi\) |
0.991525 | − | 0.129914i | \(-0.0414701\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −23.7129 | + | 15.2394i | −0.823583 | + | 0.529285i | −0.883233 | − | 0.468935i | \(-0.844638\pi\) |
0.0596497 | + | 0.998219i | \(0.481002\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.0692 | − | 40.3057i | 0.592124 | − | 1.39819i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 0.671687i | − | 0.0232726i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.76122 | − | 13.6327i | 0.303194 | − | 0.471780i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.422215 | + | 1.09176i | 0.0145939 | + | 0.0377366i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −36.3792 | − | 16.6138i | −1.25595 | − | 0.573573i | −0.327438 | − | 0.944873i | \(-0.606185\pi\) |
−0.928513 | + | 0.371299i | \(0.878912\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.2791 | 0.699281 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8.13734 | − | 9.93623i | 0.280265 | − | 0.342222i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.20554 | − | 8.38474i | 0.0414719 | − | 0.288444i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.1474 | − | 3.90321i | −0.932796 | − | 0.134116i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 29.7633 | + | 17.9786i | 1.02147 | + | 0.617023i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.65992 | + | 3.95485i | −0.296858 | + | 0.135571i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.40957 | + | 30.6692i | 0.150981 | + | 1.05009i | 0.914580 | + | 0.404404i | \(0.132521\pi\) |
−0.763600 | + | 0.645690i | \(0.776570\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.06416 | − | 0.170574i | 0.104792 | − | 0.00583352i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.57622 | − | 24.8731i | −0.122161 | − | 0.849650i | −0.955100 | − | 0.296284i | \(-0.904252\pi\) |
0.832939 | − | 0.553365i | \(-0.186657\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.7223 | − | 11.3894i | 0.604678 | − | 0.388603i | −0.202180 | − | 0.979348i | \(-0.564803\pi\) |
0.806858 | + | 0.590746i | \(0.201166\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.97030 | − | 6.57278i | 0.135308 | − | 0.224000i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.99182 | + | 6.21139i | −0.135883 | + | 0.211438i | −0.902526 | − | 0.430636i | \(-0.858289\pi\) |
0.766643 | + | 0.642074i | \(0.221926\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.30019 | − | 28.2678i | 0.282215 | − | 0.961136i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 16.4457 | − | 0.457391i | 0.558524 | − | 0.0155338i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 5.46949 | + | 4.73934i | 0.185540 | + | 0.160771i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.89299 | − | 22.9831i | 0.335211 | − | 0.778753i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −18.4276 | − | 25.4441i | −0.623681 | − | 0.861154i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −28.3566 | + | 4.07707i | −0.958629 | + | 0.137830i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 26.5852 | + | 7.80612i | 0.897719 | + | 0.263594i | 0.697863 | − | 0.716231i | \(-0.254134\pi\) |
0.199856 | + | 0.979825i | \(0.435953\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 18.9264 | + | 15.4999i | 0.638371 | + | 0.522798i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.1277 | + | 7.82197i | 0.577048 | + | 0.263529i | 0.682488 | − | 0.730897i | \(-0.260898\pi\) |
−0.105440 | + | 0.994426i | \(0.533625\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.41903 | + | 5.32011i | 0.115059 | + | 0.179036i | 0.894007 | − | 0.448053i | \(-0.147883\pi\) |
−0.778947 | + | 0.627089i | \(0.784246\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.17917 | − | 42.3976i | −0.0396374 | − | 1.42518i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.40322 | + | 4.77894i | 0.0471156 | + | 0.160461i | 0.979691 | − | 0.200515i | \(-0.0642617\pi\) |
−0.932575 | + | 0.360976i | \(0.882443\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.36537 | + | 1.34654i | −0.314104 | + | 0.0451614i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.242630 | − | 7.68059i | 0.00812839 | − | 0.257309i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.19655 | − | 1.91650i | −0.140432 | − | 0.0641332i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.73214 | + | 53.7782i | −0.258457 | + | 1.79761i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −41.8370 | − | 11.0308i | −1.39690 | − | 0.368307i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.559650 | + | 0.359665i | 0.0186654 | + | 0.0119955i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.3570i | 0.811450i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.10055 | + | 0.664792i | 0.0366242 | + | 0.0221229i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −26.3466 | − | 30.4057i | −0.875792 | − | 1.01072i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.5358 | − | 21.5521i | −1.11354 | − | 0.715627i | −0.151476 | − | 0.988461i | \(-0.548403\pi\) |
−0.962061 | + | 0.272834i | \(0.912039\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 4.75781 | + | 1.11396i | 0.157807 | + | 0.0369476i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.736874 | − | 2.50956i | 0.0244137 | − | 0.0831455i | −0.946385 | − | 0.323041i | \(-0.895295\pi\) |
0.970799 | + | 0.239895i | \(0.0771131\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.69488 | + | 7.30538i | 0.155378 | + | 0.241773i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.39900 | − | 10.4880i | −0.112367 | − | 0.346721i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 23.4961 | + | 6.89907i | 0.775908 | + | 0.227827i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −28.4369 | + | 24.6408i | −0.938048 | + | 0.812823i | −0.982514 | − | 0.186188i | \(-0.940387\pi\) |
0.0444661 | + | 0.999011i | \(0.485841\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 21.2551 | + | 5.60416i | 0.700381 | + | 0.184663i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.1613 | + | 23.2674i | 0.663619 | + | 0.765857i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.363183 | − | 0.233404i | 0.0119414 | − | 0.00767427i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 16.1060 | − | 0.896581i | 0.528991 | − | 0.0294476i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.4505 | + | 20.1390i | −0.572534 | + | 0.660739i | −0.965983 | − | 0.258607i | \(-0.916736\pi\) |
0.393449 | + | 0.919347i | \(0.371282\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.0377188 | + | 0.0435298i | −0.00123618 | + | 0.00142663i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.10410 | + | 41.2359i | 0.232578 | + | 1.35000i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −9.26521 | + | 4.23128i | −0.303005 | + | 0.138378i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 29.7428i | − | 0.971655i | −0.874055 | − | 0.485828i | \(-0.838518\pi\) | ||
0.874055 | − | 0.485828i | \(-0.161482\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −18.9950 | − | 2.19400i | −0.619878 | − | 0.0715985i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.57019 | + | 14.3867i | 0.214182 | + | 0.468993i | 0.985978 | − | 0.166877i | \(-0.0533684\pi\) |
−0.771796 | + | 0.635871i | \(0.780641\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.82230 | + | 13.0175i | 0.124471 | + | 0.423910i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 28.0348 | − | 15.7483i | 0.911971 | − | 0.512293i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.40576 | − | 7.28364i | −0.273151 | − | 0.236686i | 0.507503 | − | 0.861650i | \(-0.330568\pi\) |
−0.780654 | + | 0.624963i | \(0.785114\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.74239 | − | 29.7739i | −0.283790 | − | 0.966500i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 23.6926 | − | 11.6266i | 0.768284 | − | 0.377020i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 35.5845 | − | 30.8341i | 1.15269 | − | 0.998815i | 0.152750 | − | 0.988265i | \(-0.451187\pi\) |
0.999944 | − | 0.0105502i | \(-0.00335829\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.41594 | + | 37.6687i | −0.175256 | + | 1.21893i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.46235 | − | 3.60691i | −0.0795963 | − | 0.116595i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −13.4757 | + | 45.8942i | −0.435155 | + | 1.48200i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.8568 | + | 28.1524i | 0.414735 | + | 0.908143i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.00328 | − | 19.7221i | −0.225678 | − | 0.635536i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −40.6904 | − | 11.9478i | −1.30987 | − | 0.384612i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.70365 | 0.119101 | 0.0595506 | − | 0.998225i | \(-0.481033\pi\) | ||||
0.0595506 | + | 0.998225i | \(0.481033\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.04493 | − | 2.49366i | −0.0978171 | − | 0.0801080i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.10228 | + | 6.15416i | −0.227923 | + | 0.197496i | −0.761334 | − | 0.648360i | \(-0.775455\pi\) |
0.533411 | + | 0.845856i | \(0.320910\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −25.7917 | + | 56.4759i | −0.826843 | + | 1.81053i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.94907 | + | 0.225126i | 0.0624202 | + | 0.00720980i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.66680 | − | 13.4858i | 0.277276 | − | 0.431449i | −0.674486 | − | 0.738288i | \(-0.735635\pi\) |
0.951762 | + | 0.306838i | \(0.0992711\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.40501 | + | 0.202009i | 0.0449042 | + | 0.00645625i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.19304 | − | 1.63979i | −0.133873 | − | 0.0523546i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.1074 | − | 39.6497i | 0.577537 | − | 1.26463i | −0.365149 | − | 0.930949i | \(-0.618982\pi\) |
0.942686 | − | 0.333681i | \(-0.108291\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.05731 | − | 6.69457i | −0.0974140 | − | 0.213307i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −48.3199 | + | 1.34388i | −1.53804 | + | 0.0427763i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.17967 | + | 0.640010i | −0.0693096 | + | 0.0203511i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.2861 | + | 2.91669i | −0.644408 | + | 0.0926519i | −0.456768 | − | 0.889586i | \(-0.650993\pi\) |
−0.187640 | + | 0.982238i | \(0.560084\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 32.2869 | − | 15.8442i | 1.02459 | − | 0.502799i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.51952 | + | 9.89637i | −0.143279 | + | 0.313736i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.3251 | − | 24.6301i | −1.21377 | − | 0.780042i | −0.232484 | − | 0.972600i | \(-0.574685\pi\) |
−0.981286 | + | 0.192558i | \(0.938322\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.56934 | − | 4.88945i | 0.112929 | − | 0.154695i |
(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 | 804.2.s.b.5.20 | yes | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.5.17 | ✓ | 200 | |
67.27 | odd | 22 | inner | 804.2.s.b.161.17 | yes | 200 | |
201.161 | even | 22 | inner | 804.2.s.b.161.20 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.17 | ✓ | 200 | 3.2 | odd | 2 | inner | |
804.2.s.b.5.20 | yes | 200 | 1.1 | even | 1 | trivial | |
804.2.s.b.161.17 | yes | 200 | 67.27 | odd | 22 | inner | |
804.2.s.b.161.20 | yes | 200 | 201.161 | even | 22 | inner |