Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.11 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.12 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.921850 | − | 1.07247i | −0.651846 | − | 0.758351i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −0.300386 | + | 1.97731i | −0.150193 | + | 0.988657i | ||||
\(5\) | − | 1.54735i | − | 0.691995i | −0.938235 | − | 0.345998i | \(-0.887540\pi\) | ||
0.938235 | − | 0.345998i | \(-0.112460\pi\) | |||||||
\(6\) | 0.921850 | + | 1.07247i | 0.376344 | + | 0.437834i | ||||
\(7\) | 4.78228 | 1.80753 | 0.903766 | − | 0.428027i | \(-0.140791\pi\) | ||||
0.903766 | + | 0.428027i | \(0.140791\pi\) | |||||||
\(8\) | 2.39752 | − | 1.50063i | 0.847652 | − | 0.530553i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −1.65949 | + | 1.42642i | −0.524776 | + | 0.451075i | ||||
\(11\) | 3.05580 | 0.921357 | 0.460678 | − | 0.887567i | \(-0.347606\pi\) | ||||
0.460678 | + | 0.887567i | \(0.347606\pi\) | |||||||
\(12\) | 0.300386 | − | 1.97731i | 0.0867140 | − | 0.570801i | ||||
\(13\) | 3.50455i | 0.971988i | 0.873962 | + | 0.485994i | \(0.161542\pi\) | ||||
−0.873962 | + | 0.485994i | \(0.838458\pi\) | |||||||
\(14\) | −4.40854 | − | 5.12886i | −1.17823 | − | 1.37074i | ||||
\(15\) | 1.54735i | 0.399524i | ||||||||
\(16\) | −3.81954 | − | 1.18791i | −0.954884 | − | 0.296979i | ||||
\(17\) | −4.48195 | −1.08703 | −0.543516 | − | 0.839399i | \(-0.682907\pi\) | ||||
−0.543516 | + | 0.839399i | \(0.682907\pi\) | |||||||
\(18\) | −0.921850 | − | 1.07247i | −0.217282 | − | 0.252784i | ||||
\(19\) | 6.47223i | 1.48483i | 0.669940 | + | 0.742415i | \(0.266320\pi\) | ||||
−0.669940 | + | 0.742415i | \(0.733680\pi\) | |||||||
\(20\) | 3.05959 | + | 0.464802i | 0.684146 | + | 0.103933i | ||||
\(21\) | −4.78228 | −1.04358 | ||||||||
\(22\) | −2.81698 | − | 3.27725i | −0.600583 | − | 0.698712i | ||||
\(23\) | 5.90022i | 1.23028i | 0.788418 | + | 0.615140i | \(0.210901\pi\) | ||||
−0.788418 | + | 0.615140i | \(0.789099\pi\) | |||||||
\(24\) | −2.39752 | + | 1.50063i | −0.489392 | + | 0.306315i | ||||
\(25\) | 2.60571 | 0.521142 | ||||||||
\(26\) | 3.75853 | − | 3.23067i | 0.737108 | − | 0.633587i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −1.43653 | + | 9.45607i | −0.271479 | + | 1.78703i | ||||
\(29\) | 5.56432 | 1.03327 | 0.516634 | − | 0.856207i | \(-0.327185\pi\) | ||||
0.516634 | + | 0.856207i | \(0.327185\pi\) | |||||||
\(30\) | 1.65949 | − | 1.42642i | 0.302979 | − | 0.260428i | ||||
\(31\) | −8.11655 | −1.45777 | −0.728887 | − | 0.684634i | \(-0.759962\pi\) | ||||
−0.728887 | + | 0.684634i | \(0.759962\pi\) | |||||||
\(32\) | 2.24704 | + | 5.19142i | 0.397223 | + | 0.917722i | ||||
\(33\) | −3.05580 | −0.531946 | ||||||||
\(34\) | 4.13168 | + | 4.80676i | 0.708578 | + | 0.824352i | ||||
\(35\) | − | 7.39986i | − | 1.25080i | ||||||
\(36\) | −0.300386 | + | 1.97731i | −0.0500643 | + | 0.329552i | ||||
\(37\) | 2.86229 | 0.470558 | 0.235279 | − | 0.971928i | \(-0.424400\pi\) | ||||
0.235279 | + | 0.971928i | \(0.424400\pi\) | |||||||
\(38\) | 6.94127 | − | 5.96642i | 1.12602 | − | 0.967881i | ||||
\(39\) | − | 3.50455i | − | 0.561178i | ||||||
\(40\) | −2.32200 | − | 3.70980i | −0.367140 | − | 0.586571i | ||||
\(41\) | − | 5.82224i | − | 0.909282i | −0.890675 | − | 0.454641i | \(-0.849768\pi\) | ||
0.890675 | − | 0.454641i | \(-0.150232\pi\) | |||||||
\(42\) | 4.40854 | + | 5.12886i | 0.680253 | + | 0.791400i | ||||
\(43\) | 8.69388 | 1.32580 | 0.662902 | − | 0.748706i | \(-0.269324\pi\) | ||||
0.662902 | + | 0.748706i | \(0.269324\pi\) | |||||||
\(44\) | −0.917918 | + | 6.04227i | −0.138381 | + | 0.910906i | ||||
\(45\) | − | 1.54735i | − | 0.230665i | ||||||
\(46\) | 6.32781 | − | 5.43911i | 0.932984 | − | 0.801953i | ||||
\(47\) | − | 3.02486i | − | 0.441221i | −0.975362 | − | 0.220611i | \(-0.929195\pi\) | ||
0.975362 | − | 0.220611i | \(-0.0708050\pi\) | |||||||
\(48\) | 3.81954 | + | 1.18791i | 0.551303 | + | 0.171461i | ||||
\(49\) | 15.8702 | 2.26717 | ||||||||
\(50\) | −2.40207 | − | 2.79455i | −0.339705 | − | 0.395209i | ||||
\(51\) | 4.48195 | 0.627598 | ||||||||
\(52\) | −6.92960 | − | 1.05272i | −0.960962 | − | 0.145986i | ||||
\(53\) | − | 5.29439i | − | 0.727241i | −0.931547 | − | 0.363620i | \(-0.881541\pi\) | ||
0.931547 | − | 0.363620i | \(-0.118459\pi\) | |||||||
\(54\) | 0.921850 | + | 1.07247i | 0.125448 | + | 0.145945i | ||||
\(55\) | − | 4.72838i | − | 0.637575i | ||||||
\(56\) | 11.4656 | − | 7.17644i | 1.53216 | − | 0.958992i | ||||
\(57\) | − | 6.47223i | − | 0.857267i | ||||||
\(58\) | −5.12946 | − | 5.96756i | −0.673531 | − | 0.783580i | ||||
\(59\) | 14.0544i | 1.82973i | 0.403760 | + | 0.914865i | \(0.367703\pi\) | ||||
−0.403760 | + | 0.914865i | \(0.632297\pi\) | |||||||
\(60\) | −3.05959 | − | 0.464802i | −0.394992 | − | 0.0600057i | ||||
\(61\) | − | 0.366956i | − | 0.0469839i | −0.999724 | − | 0.0234919i | \(-0.992522\pi\) | ||
0.999724 | − | 0.0234919i | \(-0.00747840\pi\) | |||||||
\(62\) | 7.48224 | + | 8.70476i | 0.950245 | + | 1.10551i | ||||
\(63\) | 4.78228 | 0.602511 | ||||||||
\(64\) | 3.49622 | − | 7.19559i | 0.437027 | − | 0.899448i | ||||
\(65\) | 5.42277 | 0.672611 | ||||||||
\(66\) | 2.81698 | + | 3.27725i | 0.346747 | + | 0.403402i | ||||
\(67\) | −2.49611 | + | 7.79547i | −0.304949 | + | 0.952369i | ||||
\(68\) | 1.34631 | − | 8.86222i | 0.163265 | − | 1.07470i | ||||
\(69\) | − | 5.90022i | − | 0.710303i | ||||||
\(70\) | −7.93613 | + | 6.82156i | −0.948549 | + | 0.815332i | ||||
\(71\) | − | 4.06493i | − | 0.482418i | −0.970473 | − | 0.241209i | \(-0.922456\pi\) | ||
0.970473 | − | 0.241209i | \(-0.0775440\pi\) | |||||||
\(72\) | 2.39752 | − | 1.50063i | 0.282551 | − | 0.176851i | ||||
\(73\) | −14.7237 | −1.72328 | −0.861638 | − | 0.507523i | \(-0.830561\pi\) | ||||
−0.861638 | + | 0.507523i | \(0.830561\pi\) | |||||||
\(74\) | −2.63860 | − | 3.06973i | −0.306732 | − | 0.356848i | ||||
\(75\) | −2.60571 | −0.300882 | ||||||||
\(76\) | −12.7976 | − | 1.94417i | −1.46799 | − | 0.223011i | ||||
\(77\) | 14.6137 | 1.66538 | ||||||||
\(78\) | −3.75853 | + | 3.23067i | −0.425570 | + | 0.365801i | ||||
\(79\) | 12.4188 | 1.39722 | 0.698611 | − | 0.715502i | \(-0.253802\pi\) | ||||
0.698611 | + | 0.715502i | \(0.253802\pi\) | |||||||
\(80\) | −1.83812 | + | 5.91016i | −0.205508 | + | 0.660775i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −6.24418 | + | 5.36723i | −0.689555 | + | 0.592712i | ||||
\(83\) | − | 7.10690i | − | 0.780084i | −0.920797 | − | 0.390042i | \(-0.872460\pi\) | ||
0.920797 | − | 0.390042i | \(-0.127540\pi\) | |||||||
\(84\) | 1.43653 | − | 9.45607i | 0.156738 | − | 1.03174i | ||||
\(85\) | 6.93514i | 0.752221i | ||||||||
\(86\) | −8.01445 | − | 9.32393i | −0.864221 | − | 1.00543i | ||||
\(87\) | −5.56432 | −0.596557 | ||||||||
\(88\) | 7.32633 | − | 4.58562i | 0.780990 | − | 0.488829i | ||||
\(89\) | 4.89866 | 0.519257 | 0.259628 | − | 0.965709i | \(-0.416400\pi\) | ||||
0.259628 | + | 0.965709i | \(0.416400\pi\) | |||||||
\(90\) | −1.65949 | + | 1.42642i | −0.174925 | + | 0.150358i | ||||
\(91\) | 16.7598i | 1.75690i | ||||||||
\(92\) | −11.6666 | − | 1.77234i | −1.21632 | − | 0.184779i | ||||
\(93\) | 8.11655 | 0.841647 | ||||||||
\(94\) | −3.24407 | + | 2.78847i | −0.334601 | + | 0.287608i | ||||
\(95\) | 10.0148 | 1.02750 | ||||||||
\(96\) | −2.24704 | − | 5.19142i | −0.229337 | − | 0.529847i | ||||
\(97\) | − | 5.71259i | − | 0.580026i | −0.957023 | − | 0.290013i | \(-0.906340\pi\) | ||
0.957023 | − | 0.290013i | \(-0.0936596\pi\) | |||||||
\(98\) | −14.6299 | − | 17.0203i | −1.47785 | − | 1.71931i | ||||
\(99\) | 3.05580 | 0.307119 | ||||||||
\(100\) | −0.782719 | + | 5.15231i | −0.0782719 | + | 0.515231i | ||||
\(101\) | 0.0467073i | 0.00464755i | 0.999997 | + | 0.00232378i | \(0.000739682\pi\) | ||||
−0.999997 | + | 0.00232378i | \(0.999260\pi\) | |||||||
\(102\) | −4.13168 | − | 4.80676i | −0.409098 | − | 0.475940i | ||||
\(103\) | − | 18.4162i | − | 1.81460i | −0.420482 | − | 0.907301i | \(-0.638139\pi\) | ||
0.420482 | − | 0.907301i | \(-0.361861\pi\) | |||||||
\(104\) | 5.25904 | + | 8.40224i | 0.515691 | + | 0.823907i | ||||
\(105\) | 7.39986i | 0.722152i | ||||||||
\(106\) | −5.67808 | + | 4.88063i | −0.551504 | + | 0.474049i | ||||
\(107\) | 11.8686i | 1.14738i | 0.819072 | + | 0.573691i | \(0.194489\pi\) | ||||
−0.819072 | + | 0.573691i | \(0.805511\pi\) | |||||||
\(108\) | 0.300386 | − | 1.97731i | 0.0289047 | − | 0.190267i | ||||
\(109\) | 7.02149i | 0.672536i | 0.941766 | + | 0.336268i | \(0.109165\pi\) | ||||
−0.941766 | + | 0.336268i | \(0.890835\pi\) | |||||||
\(110\) | −5.07105 | + | 4.35886i | −0.483506 | + | 0.415601i | ||||
\(111\) | −2.86229 | −0.271677 | ||||||||
\(112\) | −18.2661 | − | 5.68094i | −1.72598 | − | 0.536799i | ||||
\(113\) | 3.48144i | 0.327506i | 0.986501 | + | 0.163753i | \(0.0523600\pi\) | ||||
−0.986501 | + | 0.163753i | \(0.947640\pi\) | |||||||
\(114\) | −6.94127 | + | 5.96642i | −0.650110 | + | 0.558806i | ||||
\(115\) | 9.12969 | 0.851348 | ||||||||
\(116\) | −1.67144 | + | 11.0024i | −0.155190 | + | 1.02155i | ||||
\(117\) | 3.50455i | 0.323996i | ||||||||
\(118\) | 15.0730 | − | 12.9561i | 1.38758 | − | 1.19270i | ||||
\(119\) | −21.4339 | −1.96485 | ||||||||
\(120\) | 2.32200 | + | 3.70980i | 0.211969 | + | 0.338657i | ||||
\(121\) | −1.66211 | −0.151101 | ||||||||
\(122\) | −0.393549 | + | 0.338278i | −0.0356303 | + | 0.0306263i | ||||
\(123\) | 5.82224i | 0.524974i | ||||||||
\(124\) | 2.43810 | − | 16.0490i | 0.218948 | − | 1.44124i | ||||
\(125\) | − | 11.7687i | − | 1.05262i | ||||||
\(126\) | −4.40854 | − | 5.12886i | −0.392744 | − | 0.456915i | ||||
\(127\) | − | 16.7166i | − | 1.48336i | −0.670756 | − | 0.741678i | \(-0.734030\pi\) | ||
0.670756 | − | 0.741678i | \(-0.265970\pi\) | |||||||
\(128\) | −10.9400 | + | 2.88366i | −0.966972 | + | 0.254882i | ||||
\(129\) | −8.69388 | −0.765454 | ||||||||
\(130\) | −4.99897 | − | 5.81576i | −0.438439 | − | 0.510076i | ||||
\(131\) | − | 13.6516i | − | 1.19274i | −0.802708 | − | 0.596372i | \(-0.796608\pi\) | ||
0.802708 | − | 0.596372i | \(-0.203392\pi\) | |||||||
\(132\) | 0.917918 | − | 6.04227i | 0.0798945 | − | 0.525912i | ||||
\(133\) | 30.9520i | 2.68388i | ||||||||
\(134\) | 10.6615 | − | 4.50925i | 0.921010 | − | 0.389540i | ||||
\(135\) | 1.54735i | 0.133175i | ||||||||
\(136\) | −10.7456 | + | 6.72575i | −0.921425 | + | 0.576728i | ||||
\(137\) | − | 18.2998i | − | 1.56346i | −0.623616 | − | 0.781731i | \(-0.714337\pi\) | ||
0.623616 | − | 0.781731i | \(-0.285663\pi\) | |||||||
\(138\) | −6.32781 | + | 5.43911i | −0.538659 | + | 0.463008i | ||||
\(139\) | −0.810802 | −0.0687713 | −0.0343857 | − | 0.999409i | \(-0.510947\pi\) | ||||
−0.0343857 | + | 0.999409i | \(0.510947\pi\) | |||||||
\(140\) | 14.6318 | + | 2.22281i | 1.23662 | + | 0.187862i | ||||
\(141\) | 3.02486i | 0.254739i | ||||||||
\(142\) | −4.35952 | + | 3.74725i | −0.365843 | + | 0.314463i | ||||
\(143\) | 10.7092i | 0.895548i | ||||||||
\(144\) | −3.81954 | − | 1.18791i | −0.318295 | − | 0.0989929i | ||||
\(145\) | − | 8.60994i | − | 0.715016i | ||||||
\(146\) | 13.5730 | + | 15.7907i | 1.12331 | + | 1.30685i | ||||
\(147\) | −15.8702 | −1.30895 | ||||||||
\(148\) | −0.859793 | + | 5.65965i | −0.0706746 | + | 0.465220i | ||||
\(149\) | 5.89971 | 0.483323 | 0.241662 | − | 0.970361i | \(-0.422308\pi\) | ||||
0.241662 | + | 0.970361i | \(0.422308\pi\) | |||||||
\(150\) | 2.40207 | + | 2.79455i | 0.196129 | + | 0.228174i | ||||
\(151\) | 14.6810i | 1.19473i | 0.801971 | + | 0.597363i | \(0.203785\pi\) | ||||
−0.801971 | + | 0.597363i | \(0.796215\pi\) | |||||||
\(152\) | 9.71242 | + | 15.5173i | 0.787781 | + | 1.25862i | ||||
\(153\) | −4.48195 | −0.362344 | ||||||||
\(154\) | −13.4716 | − | 15.6727i | −1.08557 | − | 1.26294i | ||||
\(155\) | 12.5591i | 1.00877i | ||||||||
\(156\) | 6.92960 | + | 1.05272i | 0.554812 | + | 0.0842850i | ||||
\(157\) | −3.07058 | −0.245059 | −0.122529 | − | 0.992465i | \(-0.539101\pi\) | ||||
−0.122529 | + | 0.992465i | \(0.539101\pi\) | |||||||
\(158\) | −11.4482 | − | 13.3188i | −0.910773 | − | 1.05958i | ||||
\(159\) | 5.29439i | 0.419873i | ||||||||
\(160\) | 8.03294 | − | 3.47695i | 0.635059 | − | 0.274877i | ||||
\(161\) | 28.2165i | 2.22377i | ||||||||
\(162\) | −0.921850 | − | 1.07247i | −0.0724274 | − | 0.0842612i | ||||
\(163\) | − | 23.3234i | − | 1.82683i | −0.407033 | − | 0.913414i | \(-0.633436\pi\) | ||
0.407033 | − | 0.913414i | \(-0.366564\pi\) | |||||||
\(164\) | 11.5124 | + | 1.74892i | 0.898967 | + | 0.136568i | ||||
\(165\) | 4.72838i | 0.368104i | ||||||||
\(166\) | −7.62194 | + | 6.55150i | −0.591578 | + | 0.508495i | ||||
\(167\) | 10.8381i | 0.838675i | 0.907830 | + | 0.419337i | \(0.137738\pi\) | ||||
−0.907830 | + | 0.419337i | \(0.862262\pi\) | |||||||
\(168\) | −11.4656 | + | 7.17644i | −0.884592 | + | 0.553674i | ||||
\(169\) | 0.718110 | 0.0552392 | ||||||||
\(170\) | 7.43773 | − | 6.39316i | 0.570448 | − | 0.490333i | ||||
\(171\) | 6.47223i | 0.494943i | ||||||||
\(172\) | −2.61152 | + | 17.1905i | −0.199127 | + | 1.31077i | ||||
\(173\) | 14.4691 | 1.10006 | 0.550031 | − | 0.835144i | \(-0.314616\pi\) | ||||
0.550031 | + | 0.835144i | \(0.314616\pi\) | |||||||
\(174\) | 5.12946 | + | 5.96756i | 0.388864 | + | 0.452400i | ||||
\(175\) | 12.4612 | 0.941982 | ||||||||
\(176\) | −11.6717 | − | 3.63002i | −0.879789 | − | 0.273623i | ||||
\(177\) | − | 14.0544i | − | 1.05640i | ||||||
\(178\) | −4.51583 | − | 5.25367i | −0.338476 | − | 0.393779i | ||||
\(179\) | −8.10870 | −0.606073 | −0.303036 | − | 0.952979i | \(-0.598000\pi\) | ||||
−0.303036 | + | 0.952979i | \(0.598000\pi\) | |||||||
\(180\) | 3.05959 | + | 0.464802i | 0.228049 | + | 0.0346443i | ||||
\(181\) | 6.85919 | 0.509840 | 0.254920 | − | 0.966962i | \(-0.417951\pi\) | ||||
0.254920 | + | 0.966962i | \(0.417951\pi\) | |||||||
\(182\) | 17.9743 | − | 15.4500i | 1.33235 | − | 1.14523i | ||||
\(183\) | 0.366956i | 0.0271262i | ||||||||
\(184\) | 8.85405 | + | 14.1459i | 0.652729 | + | 1.04285i | ||||
\(185\) | − | 4.42897i | − | 0.325624i | ||||||
\(186\) | −7.48224 | − | 8.70476i | −0.548624 | − | 0.638264i | ||||
\(187\) | −13.6959 | −1.00154 | ||||||||
\(188\) | 5.98110 | + | 0.908626i | 0.436216 | + | 0.0662684i | ||||
\(189\) | −4.78228 | −0.347860 | ||||||||
\(190\) | −9.23213 | − | 10.7406i | −0.669769 | − | 0.779203i | ||||
\(191\) | −23.6446 | −1.71086 | −0.855432 | − | 0.517916i | \(-0.826708\pi\) | ||||
−0.855432 | + | 0.517916i | \(0.826708\pi\) | |||||||
\(192\) | −3.49622 | + | 7.19559i | −0.252318 | + | 0.519297i | ||||
\(193\) | 4.17460 | 0.300494 | 0.150247 | − | 0.988648i | \(-0.451993\pi\) | ||||
0.150247 | + | 0.988648i | \(0.451993\pi\) | |||||||
\(194\) | −6.12658 | + | 5.26615i | −0.439863 | + | 0.378087i | ||||
\(195\) | −5.42277 | −0.388332 | ||||||||
\(196\) | −4.76719 | + | 31.3804i | −0.340514 | + | 2.24146i | ||||
\(197\) | − | 0.313467i | − | 0.0223336i | −0.999938 | − | 0.0111668i | \(-0.996445\pi\) | ||
0.999938 | − | 0.0111668i | \(-0.00355458\pi\) | |||||||
\(198\) | −2.81698 | − | 3.27725i | −0.200194 | − | 0.232904i | ||||
\(199\) | − | 12.6145i | − | 0.894220i | −0.894479 | − | 0.447110i | \(-0.852453\pi\) | ||
0.894479 | − | 0.447110i | \(-0.147547\pi\) | |||||||
\(200\) | 6.24725 | − | 3.91021i | 0.441747 | − | 0.276494i | ||||
\(201\) | 2.49611 | − | 7.79547i | 0.176062 | − | 0.549850i | ||||
\(202\) | 0.0500922 | − | 0.0430571i | 0.00352448 | − | 0.00302949i | ||||
\(203\) | 26.6101 | 1.86766 | ||||||||
\(204\) | −1.34631 | + | 8.86222i | −0.0942609 | + | 0.620479i | ||||
\(205\) | −9.00904 | −0.629219 | ||||||||
\(206\) | −19.7508 | + | 16.9770i | −1.37611 | + | 1.18284i | ||||
\(207\) | 5.90022i | 0.410093i | ||||||||
\(208\) | 4.16311 | − | 13.3858i | 0.288660 | − | 0.928136i | ||||
\(209\) | 19.7778i | 1.36806i | ||||||||
\(210\) | 7.93613 | − | 6.82156i | 0.547645 | − | 0.470732i | ||||
\(211\) | 20.0804i | 1.38239i | 0.722667 | + | 0.691196i | \(0.242916\pi\) | ||||
−0.722667 | + | 0.691196i | \(0.757084\pi\) | |||||||
\(212\) | 10.4687 | + | 1.59036i | 0.718991 | + | 0.109226i | ||||
\(213\) | 4.06493i | 0.278524i | ||||||||
\(214\) | 12.7287 | − | 10.9411i | 0.870119 | − | 0.747917i | ||||
\(215\) | − | 13.4525i | − | 0.917451i | ||||||
\(216\) | −2.39752 | + | 1.50063i | −0.163131 | + | 0.102105i | ||||
\(217\) | −38.8156 | −2.63498 | ||||||||
\(218\) | 7.53034 | − | 6.47276i | 0.510019 | − | 0.438390i | ||||
\(219\) | 14.7237 | 0.994934 | ||||||||
\(220\) | 9.34949 | + | 1.42034i | 0.630343 | + | 0.0957593i | ||||
\(221\) | − | 15.7072i | − | 1.05658i | ||||||
\(222\) | 2.63860 | + | 3.06973i | 0.177092 | + | 0.206026i | ||||
\(223\) | 9.08725i | 0.608528i | 0.952588 | + | 0.304264i | \(0.0984104\pi\) | ||||
−0.952588 | + | 0.304264i | \(0.901590\pi\) | |||||||
\(224\) | 10.7460 | + | 24.8268i | 0.717994 | + | 1.65881i | ||||
\(225\) | 2.60571 | 0.173714 | ||||||||
\(226\) | 3.73374 | − | 3.20936i | 0.248364 | − | 0.213483i | ||||
\(227\) | 6.05853i | 0.402119i | 0.979579 | + | 0.201059i | \(0.0644385\pi\) | ||||
−0.979579 | + | 0.201059i | \(0.935562\pi\) | |||||||
\(228\) | 12.7976 | + | 1.94417i | 0.847543 | + | 0.128756i | ||||
\(229\) | 0.968935i | 0.0640290i | 0.999487 | + | 0.0320145i | \(0.0101923\pi\) | ||||
−0.999487 | + | 0.0320145i | \(0.989808\pi\) | |||||||
\(230\) | −8.41620 | − | 9.79133i | −0.554948 | − | 0.645621i | ||||
\(231\) | −14.6137 | −0.961509 | ||||||||
\(232\) | 13.3406 | − | 8.34998i | 0.875851 | − | 0.548203i | ||||
\(233\) | − | 10.3828i | − | 0.680202i | −0.940389 | − | 0.340101i | \(-0.889539\pi\) | ||
0.940389 | − | 0.340101i | \(-0.110461\pi\) | |||||||
\(234\) | 3.75853 | − | 3.23067i | 0.245703 | − | 0.211196i | ||||
\(235\) | −4.68052 | −0.305323 | ||||||||
\(236\) | −27.7900 | − | 4.22175i | −1.80897 | − | 0.274813i | ||||
\(237\) | −12.4188 | −0.806686 | ||||||||
\(238\) | 19.7589 | + | 22.9873i | 1.28078 | + | 1.49004i | ||||
\(239\) | −14.1843 | −0.917509 | −0.458754 | − | 0.888563i | \(-0.651704\pi\) | ||||
−0.458754 | + | 0.888563i | \(0.651704\pi\) | |||||||
\(240\) | 1.83812 | − | 5.91016i | 0.118650 | − | 0.381499i | ||||
\(241\) | −1.62279 | −0.104533 | −0.0522664 | − | 0.998633i | \(-0.516645\pi\) | ||||
−0.0522664 | + | 0.998633i | \(0.516645\pi\) | |||||||
\(242\) | 1.53222 | + | 1.78257i | 0.0984948 | + | 0.114588i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0.725587 | + | 0.110228i | 0.0464509 | + | 0.00705665i | ||||
\(245\) | − | 24.5568i | − | 1.56887i | ||||||
\(246\) | 6.24418 | − | 5.36723i | 0.398115 | − | 0.342202i | ||||
\(247\) | −22.6823 | −1.44324 | ||||||||
\(248\) | −19.4596 | + | 12.1799i | −1.23569 | + | 0.773427i | ||||
\(249\) | 7.10690i | 0.450382i | ||||||||
\(250\) | −12.6216 | + | 10.8490i | −0.798258 | + | 0.686149i | ||||
\(251\) | −13.1758 | −0.831648 | −0.415824 | − | 0.909445i | \(-0.636507\pi\) | ||||
−0.415824 | + | 0.909445i | \(0.636507\pi\) | |||||||
\(252\) | −1.43653 | + | 9.45607i | −0.0904929 | + | 0.595676i | ||||
\(253\) | 18.0299i | 1.13353i | ||||||||
\(254\) | −17.9280 | + | 15.4102i | −1.12490 | + | 0.966920i | ||||
\(255\) | − | 6.93514i | − | 0.434295i | ||||||
\(256\) | 13.1777 | + | 9.07457i | 0.823607 | + | 0.567160i | ||||
\(257\) | −0.163214 | −0.0101810 | −0.00509052 | − | 0.999987i | \(-0.501620\pi\) | ||||
−0.00509052 | + | 0.999987i | \(0.501620\pi\) | |||||||
\(258\) | 8.01445 | + | 9.32393i | 0.498958 | + | 0.580483i | ||||
\(259\) | 13.6883 | 0.850549 | ||||||||
\(260\) | −1.62892 | + | 10.7225i | −0.101022 | + | 0.664982i | ||||
\(261\) | 5.56432 | 0.344422 | ||||||||
\(262\) | −14.6409 | + | 12.5847i | −0.904519 | + | 0.777486i | ||||
\(263\) | 8.85763i | 0.546185i | 0.961988 | + | 0.273092i | \(0.0880465\pi\) | ||||
−0.961988 | + | 0.273092i | \(0.911954\pi\) | |||||||
\(264\) | −7.32633 | + | 4.58562i | −0.450905 | + | 0.282225i | ||||
\(265\) | −8.19227 | −0.503247 | ||||||||
\(266\) | 33.1951 | − | 28.5331i | 2.03532 | − | 1.74948i | ||||
\(267\) | −4.89866 | −0.299793 | ||||||||
\(268\) | −14.6643 | − | 7.27725i | −0.895764 | − | 0.444529i | ||||
\(269\) | −14.9333 | −0.910497 | −0.455248 | − | 0.890364i | \(-0.650450\pi\) | ||||
−0.455248 | + | 0.890364i | \(0.650450\pi\) | |||||||
\(270\) | 1.65949 | − | 1.42642i | 0.100993 | − | 0.0868093i | ||||
\(271\) | −0.559494 | −0.0339869 | −0.0169934 | − | 0.999856i | \(-0.505409\pi\) | ||||
−0.0169934 | + | 0.999856i | \(0.505409\pi\) | |||||||
\(272\) | 17.1190 | + | 5.32417i | 1.03799 | + | 0.322825i | ||||
\(273\) | − | 16.7598i | − | 1.01435i | ||||||
\(274\) | −19.6260 | + | 16.8697i | −1.18565 | + | 1.01914i | ||||
\(275\) | 7.96252 | 0.480158 | ||||||||
\(276\) | 11.6666 | + | 1.77234i | 0.702245 | + | 0.106682i | ||||
\(277\) | 2.73938 | 0.164593 | 0.0822966 | − | 0.996608i | \(-0.473775\pi\) | ||||
0.0822966 | + | 0.996608i | \(0.473775\pi\) | |||||||
\(278\) | 0.747437 | + | 0.869561i | 0.0448283 | + | 0.0521528i | ||||
\(279\) | −8.11655 | −0.485925 | ||||||||
\(280\) | −11.1045 | − | 17.7413i | −0.663618 | − | 1.06025i | ||||
\(281\) | 18.4418i | 1.10014i | 0.835118 | + | 0.550071i | \(0.185399\pi\) | ||||
−0.835118 | + | 0.550071i | \(0.814601\pi\) | |||||||
\(282\) | 3.24407 | − | 2.78847i | 0.193182 | − | 0.166051i | ||||
\(283\) | − | 5.42691i | − | 0.322596i | −0.986906 | − | 0.161298i | \(-0.948432\pi\) | ||
0.986906 | − | 0.161298i | \(-0.0515681\pi\) | |||||||
\(284\) | 8.03764 | + | 1.22105i | 0.476946 | + | 0.0724559i | ||||
\(285\) | −10.0148 | −0.593225 | ||||||||
\(286\) | 11.4853 | − | 9.87227i | 0.679140 | − | 0.583760i | ||||
\(287\) | − | 27.8436i | − | 1.64356i | ||||||
\(288\) | 2.24704 | + | 5.19142i | 0.132408 | + | 0.305907i | ||||
\(289\) | 3.08787 | 0.181639 | ||||||||
\(290\) | −9.23390 | + | 7.93707i | −0.542233 | + | 0.466081i | ||||
\(291\) | 5.71259i | 0.334878i | ||||||||
\(292\) | 4.42279 | − | 29.1133i | 0.258824 | − | 1.70373i | ||||
\(293\) | −13.8229 | −0.807540 | −0.403770 | − | 0.914860i | \(-0.632300\pi\) | ||||
−0.403770 | + | 0.914860i | \(0.632300\pi\) | |||||||
\(294\) | 14.6299 | + | 17.0203i | 0.853236 | + | 0.992646i | ||||
\(295\) | 21.7471 | 1.26616 | ||||||||
\(296\) | 6.86241 | − | 4.29525i | 0.398869 | − | 0.249656i | ||||
\(297\) | −3.05580 | −0.177315 | ||||||||
\(298\) | −5.43865 | − | 6.32726i | −0.315052 | − | 0.366529i | ||||
\(299\) | −20.6776 | −1.19582 | ||||||||
\(300\) | 0.782719 | − | 5.15231i | 0.0451903 | − | 0.297469i | ||||
\(301\) | 41.5766 | 2.39644 | ||||||||
\(302\) | 15.7450 | − | 13.5337i | 0.906022 | − | 0.778777i | ||||
\(303\) | − | 0.0467073i | − | 0.00268327i | ||||||
\(304\) | 7.68845 | − | 24.7209i | 0.440963 | − | 1.41784i | ||||
\(305\) | −0.567809 | −0.0325126 | ||||||||
\(306\) | 4.13168 | + | 4.80676i | 0.236193 | + | 0.274784i | ||||
\(307\) | − | 1.98977i | − | 0.113562i | −0.998387 | − | 0.0567811i | \(-0.981916\pi\) | ||
0.998387 | − | 0.0567811i | \(-0.0180837\pi\) | |||||||
\(308\) | −4.38974 | + | 28.8958i | −0.250129 | + | 1.64649i | ||||
\(309\) | 18.4162i | 1.04766i | ||||||||
\(310\) | 13.4693 | − | 11.5776i | 0.765005 | − | 0.657565i | ||||
\(311\) | 11.1604 | 0.632850 | 0.316425 | − | 0.948618i | \(-0.397518\pi\) | ||||
0.316425 | + | 0.948618i | \(0.397518\pi\) | |||||||
\(312\) | −5.25904 | − | 8.40224i | −0.297734 | − | 0.475683i | ||||
\(313\) | − | 13.7215i | − | 0.775582i | −0.921747 | − | 0.387791i | \(-0.873238\pi\) | ||
0.921747 | − | 0.387791i | \(-0.126762\pi\) | |||||||
\(314\) | 2.83061 | + | 3.29310i | 0.159741 | + | 0.185841i | ||||
\(315\) | − | 7.39986i | − | 0.416935i | ||||||
\(316\) | −3.73043 | + | 24.5558i | −0.209853 | + | 1.38137i | ||||
\(317\) | −6.57889 | −0.369507 | −0.184754 | − | 0.982785i | \(-0.559149\pi\) | ||||
−0.184754 | + | 0.982785i | \(0.559149\pi\) | |||||||
\(318\) | 5.67808 | − | 4.88063i | 0.318411 | − | 0.273692i | ||||
\(319\) | 17.0034 | 0.952008 | ||||||||
\(320\) | −11.1341 | − | 5.40986i | −0.622414 | − | 0.302421i | ||||
\(321\) | − | 11.8686i | − | 0.662442i | ||||||
\(322\) | 30.2614 | − | 26.0114i | 1.68640 | − | 1.44956i | ||||
\(323\) | − | 29.0082i | − | 1.61406i | ||||||
\(324\) | −0.300386 | + | 1.97731i | −0.0166881 | + | 0.109851i | ||||
\(325\) | 9.13185i | 0.506544i | ||||||||
\(326\) | −25.0136 | + | 21.5006i | −1.38538 | + | 1.19081i | ||||
\(327\) | − | 7.02149i | − | 0.388289i | ||||||
\(328\) | −8.73704 | − | 13.9590i | −0.482422 | − | 0.770754i | ||||
\(329\) | − | 14.4657i | − | 0.797522i | ||||||
\(330\) | 5.07105 | − | 4.35886i | 0.279152 | − | 0.239947i | ||||
\(331\) | 5.83274 | 0.320596 | 0.160298 | − | 0.987069i | \(-0.448754\pi\) | ||||
0.160298 | + | 0.987069i | \(0.448754\pi\) | |||||||
\(332\) | 14.0526 | + | 2.13481i | 0.771235 | + | 0.117163i | ||||
\(333\) | 2.86229 | 0.156853 | ||||||||
\(334\) | 11.6235 | − | 9.99107i | 0.636010 | − | 0.546687i | ||||
\(335\) | 12.0623 | + | 3.86236i | 0.659035 | + | 0.211023i | ||||
\(336\) | 18.2661 | + | 5.68094i | 0.996497 | + | 0.309921i | ||||
\(337\) | − | 32.0283i | − | 1.74469i | −0.488889 | − | 0.872346i | \(-0.662598\pi\) | ||
0.488889 | − | 0.872346i | \(-0.337402\pi\) | |||||||
\(338\) | −0.661990 | − | 0.770152i | −0.0360075 | − | 0.0418907i | ||||
\(339\) | − | 3.48144i | − | 0.189086i | ||||||
\(340\) | −13.7129 | − | 2.08322i | −0.743689 | − | 0.112978i | ||||
\(341\) | −24.8025 | −1.34313 | ||||||||
\(342\) | 6.94127 | − | 5.96642i | 0.375341 | − | 0.322627i | ||||
\(343\) | 42.4198 | 2.29046 | ||||||||
\(344\) | 20.8438 | − | 13.0463i | 1.12382 | − | 0.703410i | ||||
\(345\) | −9.12969 | −0.491526 | ||||||||
\(346\) | −13.3383 | − | 15.5176i | −0.717071 | − | 0.834233i | ||||
\(347\) | −30.8069 | −1.65380 | −0.826900 | − | 0.562349i | \(-0.809898\pi\) | ||||
−0.826900 | + | 0.562349i | \(0.809898\pi\) | |||||||
\(348\) | 1.67144 | − | 11.0024i | 0.0895987 | − | 0.589790i | ||||
\(349\) | 20.4980 | 1.09723 | 0.548617 | − | 0.836074i | \(-0.315154\pi\) | ||||
0.548617 | + | 0.836074i | \(0.315154\pi\) | |||||||
\(350\) | −11.4874 | − | 13.3643i | −0.614027 | − | 0.714353i | ||||
\(351\) | − | 3.50455i | − | 0.187059i | ||||||
\(352\) | 6.86648 | + | 15.8639i | 0.365985 | + | 0.845549i | ||||
\(353\) | − | 3.46688i | − | 0.184523i | −0.995735 | − | 0.0922616i | \(-0.970590\pi\) | ||
0.995735 | − | 0.0922616i | \(-0.0294096\pi\) | |||||||
\(354\) | −15.0730 | + | 12.9561i | −0.801118 | + | 0.688607i | ||||
\(355\) | −6.28986 | −0.333831 | ||||||||
\(356\) | −1.47149 | + | 9.68619i | −0.0779888 | + | 0.513367i | ||||
\(357\) | 21.4339 | 1.13440 | ||||||||
\(358\) | 7.47501 | + | 8.69634i | 0.395066 | + | 0.459616i | ||||
\(359\) | − | 10.6674i | − | 0.563005i | −0.959560 | − | 0.281503i | \(-0.909167\pi\) | ||
0.959560 | − | 0.281503i | \(-0.0908328\pi\) | |||||||
\(360\) | −2.32200 | − | 3.70980i | −0.122380 | − | 0.195524i | ||||
\(361\) | −22.8897 | −1.20472 | ||||||||
\(362\) | −6.32314 | − | 7.35628i | −0.332337 | − | 0.386637i | ||||
\(363\) | 1.66211 | 0.0872384 | ||||||||
\(364\) | −33.1393 | − | 5.03440i | −1.73697 | − | 0.263874i | ||||
\(365\) | 22.7827i | 1.19250i | ||||||||
\(366\) | 0.393549 | − | 0.338278i | 0.0205711 | − | 0.0176821i | ||||
\(367\) | 8.98002 | 0.468753 | 0.234377 | − | 0.972146i | \(-0.424695\pi\) | ||||
0.234377 | + | 0.972146i | \(0.424695\pi\) | |||||||
\(368\) | 7.00895 | − | 22.5361i | 0.365367 | − | 1.17477i | ||||
\(369\) | − | 5.82224i | − | 0.303094i | ||||||
\(370\) | −4.74994 | + | 4.08284i | −0.246937 | + | 0.212257i | ||||
\(371\) | − | 25.3193i | − | 1.31451i | ||||||
\(372\) | −2.43810 | + | 16.0490i | −0.126409 | + | 0.832100i | ||||
\(373\) | − | 3.14024i | − | 0.162595i | −0.996690 | − | 0.0812977i | \(-0.974094\pi\) | ||
0.996690 | − | 0.0812977i | \(-0.0259065\pi\) | |||||||
\(374\) | 12.6256 | + | 14.6885i | 0.652853 | + | 0.759523i | ||||
\(375\) | 11.7687i | 0.607732i | ||||||||
\(376\) | −4.53920 | − | 7.25217i | −0.234091 | − | 0.374002i | ||||
\(377\) | 19.5004i | 1.00432i | ||||||||
\(378\) | 4.40854 | + | 5.12886i | 0.226751 | + | 0.263800i | ||||
\(379\) | 16.5187 | 0.848510 | 0.424255 | − | 0.905543i | \(-0.360536\pi\) | ||||
0.424255 | + | 0.905543i | \(0.360536\pi\) | |||||||
\(380\) | −3.00830 | + | 19.8024i | −0.154323 | + | 1.01584i | ||||
\(381\) | 16.7166i | 0.856416i | ||||||||
\(382\) | 21.7968 | + | 25.3581i | 1.11522 | + | 1.29744i | ||||
\(383\) | −18.5644 | −0.948597 | −0.474298 | − | 0.880364i | \(-0.657298\pi\) | ||||
−0.474298 | + | 0.880364i | \(0.657298\pi\) | |||||||
\(384\) | 10.9400 | − | 2.88366i | 0.558282 | − | 0.147156i | ||||
\(385\) | − | 22.6124i | − | 1.15244i | ||||||
\(386\) | −3.84835 | − | 4.47713i | −0.195876 | − | 0.227880i | ||||
\(387\) | 8.69388 | 0.441935 | ||||||||
\(388\) | 11.2956 | + | 1.71598i | 0.573446 | + | 0.0871158i | ||||
\(389\) | −30.0217 | −1.52216 | −0.761081 | − | 0.648657i | \(-0.775331\pi\) | ||||
−0.761081 | + | 0.648657i | \(0.775331\pi\) | |||||||
\(390\) | 4.99897 | + | 5.81576i | 0.253133 | + | 0.294492i | ||||
\(391\) | − | 26.4445i | − | 1.33735i | ||||||
\(392\) | 38.0492 | − | 23.8153i | 1.92177 | − | 1.20286i | ||||
\(393\) | 13.6516i | 0.688631i | ||||||||
\(394\) | −0.336184 | + | 0.288970i | −0.0169367 | + | 0.0145581i | ||||
\(395\) | − | 19.2162i | − | 0.966871i | ||||||
\(396\) | −0.917918 | + | 6.04227i | −0.0461271 | + | 0.303635i | ||||
\(397\) | 3.19630 | 0.160418 | 0.0802088 | − | 0.996778i | \(-0.474441\pi\) | ||||
0.0802088 | + | 0.996778i | \(0.474441\pi\) | |||||||
\(398\) | −13.5287 | + | 11.6287i | −0.678133 | + | 0.582894i | ||||
\(399\) | − | 30.9520i | − | 1.54954i | ||||||
\(400\) | −9.95261 | − | 3.09536i | −0.497631 | − | 0.154768i | ||||
\(401\) | − | 35.3660i | − | 1.76609i | −0.469284 | − | 0.883047i | \(-0.655488\pi\) | ||
0.469284 | − | 0.883047i | \(-0.344512\pi\) | |||||||
\(402\) | −10.6615 | + | 4.50925i | −0.531745 | + | 0.224901i | ||||
\(403\) | − | 28.4449i | − | 1.41694i | ||||||
\(404\) | −0.0923550 | − | 0.0140302i | −0.00459483 | − | 0.000698030i | ||||
\(405\) | − | 1.54735i | − | 0.0768884i | ||||||
\(406\) | −24.5305 | − | 28.5386i | −1.21743 | − | 1.41635i | ||||
\(407\) | 8.74658 | 0.433552 | ||||||||
\(408\) | 10.7456 | − | 6.72575i | 0.531985 | − | 0.332974i | ||||
\(409\) | 18.5775i | 0.918598i | 0.888282 | + | 0.459299i | \(0.151899\pi\) | ||||
−0.888282 | + | 0.459299i | \(0.848101\pi\) | |||||||
\(410\) | 8.30498 | + | 9.66193i | 0.410154 | + | 0.477169i | ||||
\(411\) | 18.2998i | 0.902665i | ||||||||
\(412\) | 36.4146 | + | 5.53197i | 1.79402 | + | 0.272540i | ||||
\(413\) | 67.2122i | 3.30730i | ||||||||
\(414\) | 6.32781 | − | 5.43911i | 0.310995 | − | 0.267318i | ||||
\(415\) | −10.9969 | −0.539815 | ||||||||
\(416\) | −18.1936 | + | 7.87485i | −0.892015 | + | 0.386096i | ||||
\(417\) | 0.810802 | 0.0397051 | ||||||||
\(418\) | 21.2111 | − | 18.2322i | 1.03747 | − | 0.891764i | ||||
\(419\) | − | 7.83168i | − | 0.382603i | −0.981531 | − | 0.191301i | \(-0.938729\pi\) | ||
0.981531 | − | 0.191301i | \(-0.0612708\pi\) | |||||||
\(420\) | −14.6318 | − | 2.22281i | −0.713960 | − | 0.108462i | ||||
\(421\) | −2.30475 | −0.112327 | −0.0561633 | − | 0.998422i | \(-0.517887\pi\) | ||||
−0.0561633 | + | 0.998422i | \(0.517887\pi\) | |||||||
\(422\) | 21.5357 | − | 18.5111i | 1.04834 | − | 0.901108i | ||||
\(423\) | − | 3.02486i | − | 0.147074i | ||||||
\(424\) | −7.94493 | − | 12.6934i | −0.385840 | − | 0.616447i | ||||
\(425\) | −11.6787 | −0.566499 | ||||||||
\(426\) | 4.35952 | − | 3.74725i | 0.211219 | − | 0.181555i | ||||
\(427\) | − | 1.75489i | − | 0.0849249i | ||||||
\(428\) | −23.4680 | − | 3.56517i | −1.13437 | − | 0.172329i | ||||
\(429\) | − | 10.7092i | − | 0.517045i | ||||||
\(430\) | −14.4274 | + | 12.4012i | −0.695750 | + | 0.598037i | ||||
\(431\) | 20.9734i | 1.01025i | 0.863045 | + | 0.505127i | \(0.168554\pi\) | ||||
−0.863045 | + | 0.505127i | \(0.831446\pi\) | |||||||
\(432\) | 3.81954 | + | 1.18791i | 0.183768 | + | 0.0571536i | ||||
\(433\) | 20.8670i | 1.00280i | 0.865214 | + | 0.501402i | \(0.167182\pi\) | ||||
−0.865214 | + | 0.501402i | \(0.832818\pi\) | |||||||
\(434\) | 35.7822 | + | 41.6286i | 1.71760 | + | 1.99824i | ||||
\(435\) | 8.60994i | 0.412815i | ||||||||
\(436\) | −13.8837 | − | 2.10916i | −0.664908 | − | 0.101010i | ||||
\(437\) | −38.1875 | −1.82676 | ||||||||
\(438\) | −13.5730 | − | 15.7907i | −0.648544 | − | 0.754510i | ||||
\(439\) | 31.6980i | 1.51286i | 0.654074 | + | 0.756431i | \(0.273059\pi\) | ||||
−0.654074 | + | 0.756431i | \(0.726941\pi\) | |||||||
\(440\) | −7.09555 | − | 11.3364i | −0.338267 | − | 0.540441i | ||||
\(441\) | 15.8702 | 0.755724 | ||||||||
\(442\) | −16.8455 | + | 14.4797i | −0.801260 | + | 0.688729i | ||||
\(443\) | 21.5765 | 1.02513 | 0.512565 | − | 0.858648i | \(-0.328695\pi\) | ||||
0.512565 | + | 0.858648i | \(0.328695\pi\) | |||||||
\(444\) | 0.859793 | − | 5.65965i | 0.0408040 | − | 0.268595i | ||||
\(445\) | − | 7.57994i | − | 0.359323i | ||||||
\(446\) | 9.74581 | − | 8.37708i | 0.461478 | − | 0.396666i | ||||
\(447\) | −5.89971 | −0.279047 | ||||||||
\(448\) | 16.7199 | − | 34.4113i | 0.789940 | − | 1.62578i | ||||
\(449\) | −22.2551 | −1.05028 | −0.525142 | − | 0.851014i | \(-0.675988\pi\) | ||||
−0.525142 | + | 0.851014i | \(0.675988\pi\) | |||||||
\(450\) | −2.40207 | − | 2.79455i | −0.113235 | − | 0.131736i | ||||
\(451\) | − | 17.7916i | − | 0.837773i | ||||||
\(452\) | −6.88389 | − | 1.04577i | −0.323791 | − | 0.0491891i | ||||
\(453\) | − | 14.6810i | − | 0.689775i | ||||||
\(454\) | 6.49760 | − | 5.58506i | 0.304947 | − | 0.262120i | ||||
\(455\) | 25.9332 | 1.21577 | ||||||||
\(456\) | −9.71242 | − | 15.5173i | −0.454826 | − | 0.726664i | ||||
\(457\) | 30.8118 | 1.44131 | 0.720657 | − | 0.693291i | \(-0.243840\pi\) | ||||
0.720657 | + | 0.693291i | \(0.243840\pi\) | |||||||
\(458\) | 1.03915 | − | 0.893213i | 0.0485565 | − | 0.0417371i | ||||
\(459\) | 4.48195 | 0.209199 | ||||||||
\(460\) | −2.74243 | + | 18.0523i | −0.127867 | + | 0.841691i | ||||
\(461\) | −2.05285 | −0.0956107 | −0.0478053 | − | 0.998857i | \(-0.515223\pi\) | ||||
−0.0478053 | + | 0.998857i | \(0.515223\pi\) | |||||||
\(462\) | 13.4716 | + | 15.6727i | 0.626756 | + | 0.729162i | ||||
\(463\) | 36.3808 | 1.69076 | 0.845379 | − | 0.534167i | \(-0.179375\pi\) | ||||
0.845379 | + | 0.534167i | \(0.179375\pi\) | |||||||
\(464\) | −21.2531 | − | 6.60993i | −0.986651 | − | 0.306858i | ||||
\(465\) | − | 12.5591i | − | 0.582416i | ||||||
\(466\) | −11.1353 | + | 9.57142i | −0.515832 | + | 0.443387i | ||||
\(467\) | − | 3.74702i | − | 0.173392i | −0.996235 | − | 0.0866958i | \(-0.972369\pi\) | ||
0.996235 | − | 0.0866958i | \(-0.0276308\pi\) | |||||||
\(468\) | −6.92960 | − | 1.05272i | −0.320321 | − | 0.0486619i | ||||
\(469\) | −11.9371 | + | 37.2801i | −0.551205 | + | 1.72144i | ||||
\(470\) | 4.31473 | + | 5.01971i | 0.199024 | + | 0.231542i | ||||
\(471\) | 3.07058 | 0.141485 | ||||||||
\(472\) | 21.0905 | + | 33.6958i | 0.970769 | + | 1.55097i | ||||
\(473\) | 26.5667 | 1.22154 | ||||||||
\(474\) | 11.4482 | + | 13.3188i | 0.525835 | + | 0.611751i | ||||
\(475\) | 16.8648i | 0.773808i | ||||||||
\(476\) | 6.43846 | − | 42.3816i | 0.295106 | − | 1.94256i | ||||
\(477\) | − | 5.29439i | − | 0.242414i | ||||||
\(478\) | 13.0758 | + | 15.2123i | 0.598075 | + | 0.695794i | ||||
\(479\) | 40.6636i | 1.85797i | 0.370122 | + | 0.928983i | \(0.379316\pi\) | ||||
−0.370122 | + | 0.928983i | \(0.620684\pi\) | |||||||
\(480\) | −8.03294 | + | 3.47695i | −0.366652 | + | 0.158700i | ||||
\(481\) | 10.0311i | 0.457377i | ||||||||
\(482\) | 1.49597 | + | 1.74039i | 0.0681394 | + | 0.0792726i | ||||
\(483\) | − | 28.2165i | − | 1.28389i | ||||||
\(484\) | 0.499276 | − | 3.28652i | 0.0226944 | − | 0.149387i | ||||
\(485\) | −8.83937 | −0.401375 | ||||||||
\(486\) | 0.921850 | + | 1.07247i | 0.0418160 | + | 0.0486483i | ||||
\(487\) | −23.9829 | −1.08677 | −0.543384 | − | 0.839484i | \(-0.682857\pi\) | ||||
−0.543384 | + | 0.839484i | \(0.682857\pi\) | |||||||
\(488\) | −0.550665 | − | 0.879784i | −0.0249274 | − | 0.0398260i | ||||
\(489\) | 23.3234i | 1.05472i | ||||||||
\(490\) | −26.3364 | + | 22.6376i | −1.18976 | + | 1.02266i | ||||
\(491\) | 7.18064i | 0.324058i | 0.986786 | + | 0.162029i | \(0.0518037\pi\) | ||||
−0.986786 | + | 0.162029i | \(0.948196\pi\) | |||||||
\(492\) | −11.5124 | − | 1.74892i | −0.519019 | − | 0.0788474i | ||||
\(493\) | −24.9390 | −1.12320 | ||||||||
\(494\) | 20.9096 | + | 24.3261i | 0.940769 | + | 1.09448i | ||||
\(495\) | − | 4.72838i | − | 0.212525i | ||||||
\(496\) | 31.0014 | + | 9.64177i | 1.39201 | + | 0.432928i | ||||
\(497\) | − | 19.4396i | − | 0.871987i | ||||||
\(498\) | 7.62194 | − | 6.55150i | 0.341548 | − | 0.293580i | ||||
\(499\) | −6.49435 | −0.290727 | −0.145364 | − | 0.989378i | \(-0.546435\pi\) | ||||
−0.145364 | + | 0.989378i | \(0.546435\pi\) | |||||||
\(500\) | 23.2704 | + | 3.53515i | 1.04068 | + | 0.158097i | ||||
\(501\) | − | 10.8381i | − | 0.484209i | ||||||
\(502\) | 12.1461 | + | 14.1306i | 0.542107 | + | 0.630681i | ||||
\(503\) | −9.35791 | −0.417248 | −0.208624 | − | 0.977996i | \(-0.566899\pi\) | ||||
−0.208624 | + | 0.977996i | \(0.566899\pi\) | |||||||
\(504\) | 11.4656 | − | 7.17644i | 0.510719 | − | 0.319664i | ||||
\(505\) | 0.0722725 | 0.00321609 | ||||||||
\(506\) | 19.3365 | − | 16.6208i | 0.859612 | − | 0.738885i | ||||
\(507\) | −0.718110 | −0.0318924 | ||||||||
\(508\) | 33.0539 | + | 5.02143i | 1.46653 | + | 0.222790i | ||||
\(509\) | 14.8534 | 0.658367 | 0.329184 | − | 0.944266i | \(-0.393226\pi\) | ||||
0.329184 | + | 0.944266i | \(0.393226\pi\) | |||||||
\(510\) | −7.43773 | + | 6.39316i | −0.329348 | + | 0.283094i | ||||
\(511\) | −70.4128 | −3.11488 | ||||||||
\(512\) | −2.41567 | − | 22.4981i | −0.106759 | − | 0.994285i | ||||
\(513\) | − | 6.47223i | − | 0.285756i | ||||||
\(514\) | 0.150459 | + | 0.175043i | 0.00663647 | + | 0.00772080i | ||||
\(515\) | −28.4963 | −1.25570 | ||||||||
\(516\) | 2.61152 | − | 17.1905i | 0.114966 | − | 0.756771i | ||||
\(517\) | − | 9.24336i | − | 0.406522i | ||||||
\(518\) | −12.6185 | − | 14.6803i | −0.554427 | − | 0.645015i | ||||
\(519\) | −14.4691 | −0.635121 | ||||||||
\(520\) | 13.0012 | − | 8.13757i | 0.570140 | − | 0.356856i | ||||
\(521\) | 16.2467i | 0.711782i | 0.934527 | + | 0.355891i | \(0.115823\pi\) | ||||
−0.934527 | + | 0.355891i | \(0.884177\pi\) | |||||||
\(522\) | −5.12946 | − | 5.96756i | −0.224510 | − | 0.261193i | ||||
\(523\) | − | 20.8966i | − | 0.913744i | −0.889532 | − | 0.456872i | \(-0.848970\pi\) | ||
0.889532 | − | 0.456872i | \(-0.151030\pi\) | |||||||
\(524\) | 26.9935 | + | 4.10074i | 1.17921 | + | 0.179142i | ||||
\(525\) | −12.4612 | −0.543853 | ||||||||
\(526\) | 9.49954 | − | 8.16540i | 0.414200 | − | 0.356028i | ||||
\(527\) | 36.3780 | 1.58465 | ||||||||
\(528\) | 11.6717 | + | 3.63002i | 0.507946 | + | 0.157977i | ||||
\(529\) | −11.8126 | −0.513589 | ||||||||
\(530\) | 7.55204 | + | 8.78597i | 0.328040 | + | 0.381638i | ||||
\(531\) | 14.0544i | 0.609910i | ||||||||
\(532\) | −61.2018 | − | 9.29755i | −2.65343 | − | 0.403100i | ||||
\(533\) | 20.4044 | 0.883811 | ||||||||
\(534\) | 4.51583 | + | 5.25367i | 0.195419 | + | 0.227348i | ||||
\(535\) | 18.3649 | 0.793984 | ||||||||
\(536\) | 5.71364 | + | 22.4356i | 0.246792 | + | 0.969069i | ||||
\(537\) | 8.10870 | 0.349916 | ||||||||
\(538\) | 13.7662 | + | 16.0155i | 0.593504 | + | 0.690476i | ||||
\(539\) | 48.4961 | 2.08888 | ||||||||
\(540\) | −3.05959 | − | 0.464802i | −0.131664 | − | 0.0200019i | ||||
\(541\) | − | 0.771147i | − | 0.0331542i | −0.999863 | − | 0.0165771i | \(-0.994723\pi\) | ||
0.999863 | − | 0.0165771i | \(-0.00527690\pi\) | |||||||
\(542\) | 0.515770 | + | 0.600041i | 0.0221542 | + | 0.0257740i | ||||
\(543\) | −6.85919 | −0.294356 | ||||||||
\(544\) | −10.0711 | − | 23.2677i | −0.431795 | − | 0.997593i | ||||
\(545\) | 10.8647 | 0.465392 | ||||||||
\(546\) | −17.9743 | + | 15.4500i | −0.769231 | + | 0.661198i | ||||
\(547\) | −40.4316 | −1.72873 | −0.864366 | − | 0.502864i | \(-0.832280\pi\) | ||||
−0.864366 | + | 0.502864i | \(0.832280\pi\) | |||||||
\(548\) | 36.1845 | + | 5.49702i | 1.54573 | + | 0.234821i | ||||
\(549\) | − | 0.366956i | − | 0.0156613i | ||||||
\(550\) | −7.34025 | − | 8.53957i | −0.312989 | − | 0.364128i | ||||
\(551\) | 36.0135i | 1.53423i | ||||||||
\(552\) | −8.85405 | − | 14.1459i | −0.376853 | − | 0.602089i | ||||
\(553\) | 59.3901 | 2.52552 | ||||||||
\(554\) | −2.52529 | − | 2.93790i | −0.107289 | − | 0.124819i | ||||
\(555\) | 4.42897i | 0.187999i | ||||||||
\(556\) | 0.243554 | − | 1.60321i | 0.0103290 | − | 0.0679912i | ||||
\(557\) | 5.15579 | 0.218458 | 0.109229 | − | 0.994017i | \(-0.465162\pi\) | ||||
0.109229 | + | 0.994017i | \(0.465162\pi\) | |||||||
\(558\) | 7.48224 | + | 8.70476i | 0.316748 | + | 0.368502i | ||||
\(559\) | 30.4682i | 1.28867i | ||||||||
\(560\) | −8.79040 | + | 28.2640i | −0.371462 | + | 1.19437i | ||||
\(561\) | 13.6959 | 0.578242 | ||||||||
\(562\) | 19.7782 | − | 17.0005i | 0.834295 | − | 0.717124i | ||||
\(563\) | 11.8933 | 0.501244 | 0.250622 | − | 0.968085i | \(-0.419365\pi\) | ||||
0.250622 | + | 0.968085i | \(0.419365\pi\) | |||||||
\(564\) | −5.98110 | − | 0.908626i | −0.251850 | − | 0.0382601i | ||||
\(565\) | 5.38700 | 0.226633 | ||||||||
\(566\) | −5.82020 | + | 5.00280i | −0.244641 | + | 0.210283i | ||||
\(567\) | 4.78228 | 0.200837 | ||||||||
\(568\) | −6.09996 | − | 9.74575i | −0.255949 | − | 0.408923i | ||||
\(569\) | −28.8824 | −1.21081 | −0.605407 | − | 0.795916i | \(-0.706990\pi\) | ||||
−0.605407 | + | 0.795916i | \(0.706990\pi\) | |||||||
\(570\) | 9.23213 | + | 10.7406i | 0.386691 | + | 0.449873i | ||||
\(571\) | − | 29.5258i | − | 1.23561i | −0.786330 | − | 0.617807i | \(-0.788021\pi\) | ||
0.786330 | − | 0.617807i | \(-0.211979\pi\) | |||||||
\(572\) | −21.1754 | − | 3.21689i | −0.885389 | − | 0.134505i | ||||
\(573\) | 23.6446 | 0.987767 | ||||||||
\(574\) | −29.8614 | + | 25.6676i | −1.24639 | + | 1.07135i | ||||
\(575\) | 15.3743i | 0.641151i | ||||||||
\(576\) | 3.49622 | − | 7.19559i | 0.145676 | − | 0.299816i | ||||
\(577\) | − | 11.3610i | − | 0.472967i | −0.971636 | − | 0.236483i | \(-0.924005\pi\) | ||
0.971636 | − | 0.236483i | \(-0.0759949\pi\) | |||||||
\(578\) | −2.84655 | − | 3.31165i | −0.118401 | − | 0.137746i | ||||
\(579\) | −4.17460 | −0.173490 | ||||||||
\(580\) | 17.0245 | + | 2.58630i | 0.706906 | + | 0.107390i | ||||
\(581\) | − | 33.9872i | − | 1.41003i | ||||||
\(582\) | 6.12658 | − | 5.26615i | 0.253955 | − | 0.218289i | ||||
\(583\) | − | 16.1786i | − | 0.670048i | ||||||
\(584\) | −35.3003 | + | 22.0948i | −1.46074 | + | 0.914290i | ||||
\(585\) | 5.42277 | 0.224204 | ||||||||
\(586\) | 12.7426 | + | 14.8246i | 0.526392 | + | 0.612399i | ||||
\(587\) | −13.6819 | −0.564711 | −0.282356 | − | 0.959310i | \(-0.591116\pi\) | ||||
−0.282356 | + | 0.959310i | \(0.591116\pi\) | |||||||
\(588\) | 4.76719 | − | 31.3804i | 0.196596 | − | 1.29411i | ||||
\(589\) | − | 52.5321i | − | 2.16455i | ||||||
\(590\) | −20.0476 | − | 23.3231i | −0.825345 | − | 0.960197i | ||||
\(591\) | 0.313467i | 0.0128943i | ||||||||
\(592\) | −10.9326 | − | 3.40016i | −0.449328 | − | 0.139746i | ||||
\(593\) | − | 35.0111i | − | 1.43773i | −0.695147 | − | 0.718867i | \(-0.744661\pi\) | ||
0.695147 | − | 0.718867i | \(-0.255339\pi\) | |||||||
\(594\) | 2.81698 | + | 3.27725i | 0.115582 | + | 0.134467i | ||||
\(595\) | 33.1658i | 1.35966i | ||||||||
\(596\) | −1.77219 | + | 11.6656i | −0.0725917 | + | 0.477841i | ||||
\(597\) | 12.6145i | 0.516278i | ||||||||
\(598\) | 19.0617 | + | 22.1761i | 0.779489 | + | 0.906850i | ||||
\(599\) | 0.821520 | 0.0335664 | 0.0167832 | − | 0.999859i | \(-0.494657\pi\) | ||||
0.0167832 | + | 0.999859i | \(0.494657\pi\) | |||||||
\(600\) | −6.24725 | + | 3.91021i | −0.255043 | + | 0.159634i | ||||
\(601\) | 2.63598 | 0.107524 | 0.0537620 | − | 0.998554i | \(-0.482879\pi\) | ||||
0.0537620 | + | 0.998554i | \(0.482879\pi\) | |||||||
\(602\) | −38.3274 | − | 44.5897i | −1.56211 | − | 1.81734i | ||||
\(603\) | −2.49611 | + | 7.79547i | −0.101650 | + | 0.317456i | ||||
\(604\) | −29.0290 | − | 4.40998i | −1.18117 | − | 0.179439i | ||||
\(605\) | 2.57187i | 0.104561i | ||||||||
\(606\) | −0.0500922 | + | 0.0430571i | −0.00203486 | + | 0.00174908i | ||||
\(607\) | − | 7.51090i | − | 0.304858i | −0.988314 | − | 0.152429i | \(-0.951290\pi\) | ||
0.988314 | − | 0.152429i | \(-0.0487095\pi\) | |||||||
\(608\) | −33.6000 | + | 14.5433i | −1.36266 | + | 0.589809i | ||||
\(609\) | −26.6101 | −1.07830 | ||||||||
\(610\) | 0.523434 | + | 0.608958i | 0.0211932 | + | 0.0246560i | ||||
\(611\) | 10.6008 | 0.428862 | ||||||||
\(612\) | 1.34631 | − | 8.86222i | 0.0544216 | − | 0.358234i | ||||
\(613\) | 3.33725 | 0.134790 | 0.0673951 | − | 0.997726i | \(-0.478531\pi\) | ||||
0.0673951 | + | 0.997726i | \(0.478531\pi\) | |||||||
\(614\) | −2.13397 | + | 1.83427i | −0.0861200 | + | 0.0740251i | ||||
\(615\) | 9.00904 | 0.363280 | ||||||||
\(616\) | 35.0366 | − | 21.9297i | 1.41166 | − | 0.883574i | ||||
\(617\) | −46.5581 | −1.87436 | −0.937179 | − | 0.348849i | \(-0.886573\pi\) | ||||
−0.937179 | + | 0.348849i | \(0.886573\pi\) | |||||||
\(618\) | 19.7508 | − | 16.9770i | 0.794495 | − | 0.682914i | ||||
\(619\) | 9.13260i | 0.367070i | 0.983013 | + | 0.183535i | \(0.0587541\pi\) | ||||
−0.983013 | + | 0.183535i | \(0.941246\pi\) | |||||||
\(620\) | −24.8333 | − | 3.77259i | −0.997331 | − | 0.151511i | ||||
\(621\) | − | 5.90022i | − | 0.236768i | ||||||
\(622\) | −10.2882 | − | 11.9692i | −0.412521 | − | 0.479922i | ||||
\(623\) | 23.4268 | 0.938574 | ||||||||
\(624\) | −4.16311 | + | 13.3858i | −0.166658 | + | 0.535860i | ||||
\(625\) | −5.18171 | −0.207268 | ||||||||
\(626\) | −14.7159 | + | 12.6491i | −0.588164 | + | 0.505560i | ||||
\(627\) | − | 19.7778i | − | 0.789849i | ||||||
\(628\) | 0.922358 | − | 6.07149i | 0.0368061 | − | 0.242279i | ||||
\(629\) | −12.8287 | −0.511512 | ||||||||
\(630\) | −7.93613 | + | 6.82156i | −0.316183 | + | 0.271777i | ||||
\(631\) | −11.4976 | −0.457712 | −0.228856 | − | 0.973460i | \(-0.573498\pi\) | ||||
−0.228856 | + | 0.973460i | \(0.573498\pi\) | |||||||
\(632\) | 29.7743 | − | 18.6360i | 1.18436 | − | 0.741300i | ||||
\(633\) | − | 20.0804i | − | 0.798125i | ||||||
\(634\) | 6.06475 | + | 7.05567i | 0.240862 | + | 0.280216i | ||||
\(635\) | −25.8664 | −1.02648 | ||||||||
\(636\) | −10.4687 | − | 1.59036i | −0.415110 | − | 0.0630619i | ||||
\(637\) | 55.6180i | 2.20366i | ||||||||
\(638\) | −15.6746 | − | 18.2357i | −0.620563 | − | 0.721957i | ||||
\(639\) | − | 4.06493i | − | 0.160806i | ||||||
\(640\) | 4.46203 | + | 16.9281i | 0.176377 | + | 0.669140i | ||||
\(641\) | − | 15.6618i | − | 0.618603i | −0.950964 | − | 0.309301i | \(-0.899905\pi\) | ||
0.950964 | − | 0.309301i | \(-0.100095\pi\) | |||||||
\(642\) | −12.7287 | + | 10.9411i | −0.502364 | + | 0.431810i | ||||
\(643\) | − | 42.5747i | − | 1.67898i | −0.543372 | − | 0.839492i | \(-0.682853\pi\) | ||
0.543372 | − | 0.839492i | \(-0.317147\pi\) | |||||||
\(644\) | −55.7928 | − | 8.47584i | −2.19855 | − | 0.333995i | ||||
\(645\) | 13.4525i | 0.529691i | ||||||||
\(646\) | −31.1104 | + | 26.7412i | −1.22402 | + | 1.05212i | ||||
\(647\) | 27.1445 | 1.06716 | 0.533580 | − | 0.845750i | \(-0.320846\pi\) | ||||
0.533580 | + | 0.845750i | \(0.320846\pi\) | |||||||
\(648\) | 2.39752 | − | 1.50063i | 0.0941835 | − | 0.0589503i | ||||
\(649\) | 42.9474i | 1.68583i | ||||||||
\(650\) | 9.79364 | − | 8.41820i | 0.384138 | − | 0.330189i | ||||
\(651\) | 38.8156 | 1.52130 | ||||||||
\(652\) | 46.1176 | + | 7.00601i | 1.80611 | + | 0.274377i | ||||
\(653\) | 12.4622i | 0.487684i | 0.969815 | + | 0.243842i | \(0.0784078\pi\) | ||||
−0.969815 | + | 0.243842i | \(0.921592\pi\) | |||||||
\(654\) | −7.53034 | + | 6.47276i | −0.294459 | + | 0.253105i | ||||
\(655\) | −21.1238 | −0.825374 | ||||||||
\(656\) | −6.91633 | + | 22.2383i | −0.270037 | + | 0.868259i | ||||
\(657\) | −14.7237 | −0.574426 | ||||||||
\(658\) | −15.5141 | + | 13.3352i | −0.604802 | + | 0.519862i | ||||
\(659\) | 14.3892i | 0.560523i | 0.959924 | + | 0.280261i | \(0.0904212\pi\) | ||||
−0.959924 | + | 0.280261i | \(0.909579\pi\) | |||||||
\(660\) | −9.34949 | − | 1.42034i | −0.363928 | − | 0.0552866i | ||||
\(661\) | 24.3443i | 0.946884i | 0.880825 | + | 0.473442i | \(0.156989\pi\) | ||||
−0.880825 | + | 0.473442i | \(0.843011\pi\) | |||||||
\(662\) | −5.37691 | − | 6.25544i | −0.208979 | − | 0.243124i | ||||
\(663\) | 15.7072i | 0.610018i | ||||||||
\(664\) | −10.6648 | − | 17.0390i | −0.413876 | − | 0.661240i | ||||
\(665\) | 47.8935 | 1.85723 | ||||||||
\(666\) | −2.63860 | − | 3.06973i | −0.102244 | − | 0.118949i | ||||
\(667\) | 32.8307i | 1.27121i | ||||||||
\(668\) | −21.4303 | − | 3.25560i | −0.829161 | − | 0.125963i | ||||
\(669\) | − | 9.08725i | − | 0.351334i | ||||||
\(670\) | −6.97738 | − | 16.4970i | −0.269560 | − | 0.637335i | ||||
\(671\) | − | 1.12134i | − | 0.0432889i | ||||||
\(672\) | −10.7460 | − | 24.8268i | −0.414534 | − | 0.957716i | ||||
\(673\) | − | 20.9565i | − | 0.807816i | −0.914800 | − | 0.403908i | \(-0.867652\pi\) | ||
0.914800 | − | 0.403908i | \(-0.132348\pi\) | |||||||
\(674\) | −34.3494 | + | 29.5253i | −1.32309 | + | 1.13727i | ||||
\(675\) | −2.60571 | −0.100294 | ||||||||
\(676\) | −0.215710 | + | 1.41993i | −0.00829655 | + | 0.0546127i | ||||
\(677\) | 21.6203i | 0.830934i | 0.909608 | + | 0.415467i | \(0.136382\pi\) | ||||
−0.909608 | + | 0.415467i | \(0.863618\pi\) | |||||||
\(678\) | −3.73374 | + | 3.20936i | −0.143393 | + | 0.123255i | ||||
\(679\) | − | 27.3192i | − | 1.04841i | ||||||
\(680\) | 10.4071 | + | 16.6271i | 0.399093 | + | 0.637622i | ||||
\(681\) | − | 6.05853i | − | 0.232163i | ||||||
\(682\) | 22.8642 | + | 26.6000i | 0.875515 | + | 1.01857i | ||||
\(683\) | −1.26213 | −0.0482940 | −0.0241470 | − | 0.999708i | \(-0.507687\pi\) | ||||
−0.0241470 | + | 0.999708i | \(0.507687\pi\) | |||||||
\(684\) | −12.7976 | − | 1.94417i | −0.489329 | − | 0.0743371i | ||||
\(685\) | −28.3162 | −1.08191 | ||||||||
\(686\) | −39.1047 | − | 45.4940i | −1.49303 | − | 1.73697i | ||||
\(687\) | − | 0.968935i | − | 0.0369672i | ||||||
\(688\) | −33.2066 | − | 10.3276i | −1.26599 | − | 0.393736i | ||||
\(689\) | 18.5545 | 0.706869 | ||||||||
\(690\) | 8.41620 | + | 9.79133i | 0.320399 | + | 0.372749i | ||||
\(691\) | 0.518528i | 0.0197257i | 0.999951 | + | 0.00986286i | \(0.00313950\pi\) | ||||
−0.999951 | + | 0.00986286i | \(0.996861\pi\) | |||||||
\(692\) | −4.34630 | + | 28.6099i | −0.165222 | + | 1.08758i | ||||
\(693\) | 14.6137 | 0.555127 | ||||||||
\(694\) | 28.3993 | + | 33.0395i | 1.07802 | + | 1.25416i | ||||
\(695\) | 1.25459i | 0.0475894i | ||||||||
\(696\) | −13.3406 | + | 8.34998i | −0.505673 | + | 0.316505i | ||||
\(697\) | 26.0950i | 0.988419i | ||||||||
\(698\) | −18.8961 | − | 21.9835i | −0.715228 | − | 0.832089i | ||||
\(699\) | 10.3828i | 0.392715i | ||||||||
\(700\) | −3.74318 | + | 24.6398i | −0.141479 | + | 0.931296i | ||||
\(701\) | 46.7136i | 1.76435i | 0.470924 | + | 0.882174i | \(0.343921\pi\) | ||||
−0.470924 | + | 0.882174i | \(0.656079\pi\) | |||||||
\(702\) | −3.75853 | + | 3.23067i | −0.141857 | + | 0.121934i | ||||
\(703\) | 18.5254i | 0.698699i | ||||||||
\(704\) | 10.6837 | − | 21.9882i | 0.402658 | − | 0.828713i | ||||
\(705\) | 4.68052 | 0.176278 | ||||||||
\(706\) | −3.71812 | + | 3.19594i | −0.139933 | + | 0.120281i | ||||
\(707\) | 0.223368i | 0.00840060i | ||||||||
\(708\) | 27.7900 | + | 4.22175i | 1.04441 | + | 0.158663i | ||||
\(709\) | −44.2361 | −1.66132 | −0.830661 | − | 0.556778i | \(-0.812037\pi\) | ||||
−0.830661 | + | 0.556778i | \(0.812037\pi\) | |||||||
\(710\) | 5.79831 | + | 6.74569i | 0.217607 | + | 0.253161i | ||||
\(711\) | 12.4188 | 0.465740 | ||||||||
\(712\) | 11.7446 | − | 7.35108i | 0.440149 | − | 0.275493i | ||||
\(713\) | − | 47.8894i | − | 1.79347i | ||||||
\(714\) | −19.7589 | − | 22.9873i | −0.739457 | − | 0.860277i | ||||
\(715\) | 16.5709 | 0.619715 | ||||||||
\(716\) | 2.43574 | − | 16.0334i | 0.0910279 | − | 0.599198i | ||||
\(717\) | 14.1843 | 0.529724 | ||||||||
\(718\) | −11.4405 | + | 9.83376i | −0.426956 | + | 0.366993i | ||||
\(719\) | 11.7106i | 0.436732i | 0.975867 | + | 0.218366i | \(0.0700726\pi\) | ||||
−0.975867 | + | 0.218366i | \(0.929927\pi\) | |||||||
\(720\) | −1.83812 | + | 5.91016i | −0.0685026 | + | 0.220258i | ||||
\(721\) | − | 88.0714i | − | 3.27995i | ||||||
\(722\) | 21.1009 | + | 24.5485i | 0.785293 | + | 0.913602i | ||||
\(723\) | 1.62279 | 0.0603521 | ||||||||
\(724\) | −2.06041 | + | 13.5628i | −0.0765744 | + | 0.504056i | ||||
\(725\) | 14.4990 | 0.538479 | ||||||||
\(726\) | −1.53222 | − | 1.78257i | −0.0568660 | − | 0.0661573i | ||||
\(727\) | 0.0298100 | 0.00110559 | 0.000552796 | − | 1.00000i | \(-0.499824\pi\) | ||||
0.000552796 | 1.00000i | \(0.499824\pi\) | ||||||||
\(728\) | 25.1502 | + | 40.1819i | 0.932129 | + | 1.48924i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 24.4337 | − | 21.0022i | 0.904333 | − | 0.777326i | ||||
\(731\) | −38.9655 | −1.44119 | ||||||||
\(732\) | −0.725587 | − | 0.110228i | −0.0268185 | − | 0.00407416i | ||||
\(733\) | − | 9.73688i | − | 0.359640i | −0.983700 | − | 0.179820i | \(-0.942449\pi\) | ||
0.983700 | − | 0.179820i | \(-0.0575515\pi\) | |||||||
\(734\) | −8.27823 | − | 9.63081i | −0.305555 | − | 0.355480i | ||||
\(735\) | 24.5568i | 0.905789i | ||||||||
\(736\) | −30.6305 | + | 13.2580i | −1.12906 | + | 0.488696i | ||||
\(737\) | −7.62762 | + | 23.8214i | −0.280967 | + | 0.877472i | ||||
\(738\) | −6.24418 | + | 5.36723i | −0.229852 | + | 0.197571i | ||||
\(739\) | 40.6562 | 1.49556 | 0.747782 | − | 0.663945i | \(-0.231119\pi\) | ||||
0.747782 | + | 0.663945i | \(0.231119\pi\) | |||||||
\(740\) | 8.75745 | + | 1.33040i | 0.321930 | + | 0.0489065i | ||||
\(741\) | 22.6823 | 0.833253 | ||||||||
\(742\) | −27.1542 | + | 23.3406i | −0.996861 | + | 0.856859i | ||||
\(743\) | 32.2166i | 1.18191i | 0.806704 | + | 0.590956i | \(0.201249\pi\) | ||||
−0.806704 | + | 0.590956i | \(0.798751\pi\) | |||||||
\(744\) | 19.4596 | − | 12.1799i | 0.713423 | − | 0.446538i | ||||
\(745\) | − | 9.12891i | − | 0.334457i | ||||||
\(746\) | −3.36781 | + | 2.89483i | −0.123304 | + | 0.105987i | ||||
\(747\) | − | 7.10690i | − | 0.260028i | ||||||
\(748\) | 4.11406 | − | 27.0811i | 0.150425 | − | 0.990184i | ||||
\(749\) | 56.7591i | 2.07393i | ||||||||
\(750\) | 12.6216 | − | 10.8490i | 0.460875 | − | 0.396148i | ||||
\(751\) | − | 18.4253i | − | 0.672348i | −0.941800 | − | 0.336174i | \(-0.890867\pi\) | ||
0.941800 | − | 0.336174i | \(-0.109133\pi\) | |||||||
\(752\) | −3.59328 | + | 11.5536i | −0.131033 | + | 0.421315i | ||||
\(753\) | 13.1758 | 0.480152 | ||||||||
\(754\) | 20.9136 | − | 17.9765i | 0.761630 | − | 0.654665i | ||||
\(755\) | 22.7167 | 0.826745 | ||||||||
\(756\) | 1.43653 | − | 9.45607i | 0.0522461 | − | 0.343914i | ||||
\(757\) | − | 3.11832i | − | 0.113337i | −0.998393 | − | 0.0566687i | \(-0.981952\pi\) | ||
0.998393 | − | 0.0566687i | \(-0.0180479\pi\) | |||||||
\(758\) | −15.2278 | − | 17.7158i | −0.553098 | − | 0.643469i | ||||
\(759\) | − | 18.0299i | − | 0.654442i | ||||||
\(760\) | 24.0107 | − | 15.0285i | 0.870959 | − | 0.545141i | ||||
\(761\) | 12.0775 | 0.437808 | 0.218904 | − | 0.975746i | \(-0.429752\pi\) | ||||
0.218904 | + | 0.975746i | \(0.429752\pi\) | |||||||
\(762\) | 17.9280 | − | 15.4102i | 0.649464 | − | 0.558252i | ||||
\(763\) | 33.5787i | 1.21563i | ||||||||
\(764\) | 7.10251 | − | 46.7528i | 0.256960 | − | 1.69146i | ||||
\(765\) | 6.93514i | 0.250740i | ||||||||
\(766\) | 17.1136 | + | 19.9098i | 0.618339 | + | 0.719370i | ||||
\(767\) | −49.2545 | −1.77848 | ||||||||
\(768\) | −13.1777 | − | 9.07457i | −0.475510 | − | 0.327450i | ||||
\(769\) | 8.75910i | 0.315861i | 0.987450 | + | 0.157931i | \(0.0504822\pi\) | ||||
−0.987450 | + | 0.157931i | \(0.949518\pi\) | |||||||
\(770\) | −24.2512 | + | 20.8453i | −0.873952 | + | 0.751212i | ||||
\(771\) | 0.163214 | 0.00587802 | ||||||||
\(772\) | −1.25399 | + | 8.25449i | −0.0451321 | + | 0.297085i | ||||
\(773\) | 40.6121 | 1.46072 | 0.730359 | − | 0.683064i | \(-0.239353\pi\) | ||||
0.730359 | + | 0.683064i | \(0.239353\pi\) | |||||||
\(774\) | −8.01445 | − | 9.32393i | −0.288074 | − | 0.335142i | ||||
\(775\) | −21.1494 | −0.759708 | ||||||||
\(776\) | −8.57249 | − | 13.6961i | −0.307734 | − | 0.491660i | ||||
\(777\) | −13.6883 | −0.491065 | ||||||||
\(778\) | 27.6755 | + | 32.1974i | 0.992216 | + | 1.15433i | ||||
\(779\) | 37.6829 | 1.35013 | ||||||||
\(780\) | 1.62892 | − | 10.7225i | 0.0583248 | − | 0.383927i | ||||
\(781\) | − | 12.4216i | − | 0.444480i | ||||||
\(782\) | −28.3609 | + | 24.3778i | −1.01418 | + | 0.871749i | ||||
\(783\) | −5.56432 | −0.198852 | ||||||||
\(784\) | −60.6168 | − | 18.8525i | −2.16489 | − | 0.673302i | ||||
\(785\) | 4.75125i | 0.169579i | ||||||||
\(786\) | 14.6409 | − | 12.5847i | 0.522224 | − | 0.448882i | ||||
\(787\) | −44.8417 | −1.59843 | −0.799217 | − | 0.601043i | \(-0.794752\pi\) | ||||
−0.799217 | + | 0.601043i | \(0.794752\pi\) | |||||||
\(788\) | 0.619823 | + | 0.0941612i | 0.0220803 | + | 0.00335435i | ||||
\(789\) | − | 8.85763i | − | 0.315340i | ||||||
\(790\) | −20.6088 | + | 17.7144i | −0.733227 | + | 0.630251i | ||||
\(791\) | 16.6492i | 0.591978i | ||||||||
\(792\) | 7.32633 | − | 4.58562i | 0.260330 | − | 0.162943i | ||||
\(793\) | 1.28602 | 0.0456678 | ||||||||
\(794\) | −2.94651 | − | 3.42793i | −0.104568 | − | 0.121653i | ||||
\(795\) | 8.19227 | 0.290550 | ||||||||
\(796\) | 24.9429 | + | 3.78923i | 0.884077 | + | 0.134306i | ||||
\(797\) | 42.9144 | 1.52011 | 0.760053 | − | 0.649861i | \(-0.225173\pi\) | ||||
0.760053 | + | 0.649861i | \(0.225173\pi\) | |||||||
\(798\) | −33.1951 | + | 28.5331i | −1.17509 | + | 1.01006i | ||||
\(799\) | 13.5573i | 0.479622i | ||||||||
\(800\) | 5.85513 | + | 13.5273i | 0.207010 | + | 0.478264i | ||||
\(801\) | 4.89866 | 0.173086 | ||||||||
\(802\) | −37.9290 | + | 32.6022i | −1.33932 | + | 1.15122i | ||||
\(803\) | −44.9926 | −1.58775 | ||||||||
\(804\) | 14.6643 | + | 7.27725i | 0.517170 | + | 0.256649i | ||||
\(805\) | 43.6608 | 1.53884 | ||||||||
\(806\) | −30.5063 | + | 26.2219i | −1.07454 | + | 0.923627i | ||||
\(807\) | 14.9333 | 0.525676 | ||||||||
\(808\) | 0.0700904 | + | 0.111982i | 0.00246577 | + | 0.00393951i | ||||
\(809\) | − | 38.3795i | − | 1.34935i | −0.738115 | − | 0.674675i | \(-0.764284\pi\) | ||
0.738115 | − | 0.674675i | \(-0.235716\pi\) | |||||||
\(810\) | −1.65949 | + | 1.42642i | −0.0583084 | + | 0.0501194i | ||||
\(811\) | −36.4651 | −1.28046 | −0.640232 | − | 0.768181i | \(-0.721162\pi\) | ||||
−0.640232 | + | 0.768181i | \(0.721162\pi\) | |||||||
\(812\) | −7.99331 | + | 52.6165i | −0.280510 | + | 1.84648i | ||||
\(813\) | 0.559494 | 0.0196223 | ||||||||
\(814\) | −8.06304 | − | 9.38045i | −0.282609 | − | 0.328785i | ||||
\(815\) | −36.0894 | −1.26416 | ||||||||
\(816\) | −17.1190 | − | 5.32417i | −0.599284 | − | 0.186383i | ||||
\(817\) | 56.2688i | 1.96860i | ||||||||
\(818\) | 19.9238 | − | 17.1257i | 0.696620 | − | 0.598785i | ||||
\(819\) | 16.7598i | 0.585633i | ||||||||
\(820\) | 2.70619 | − | 17.8137i | 0.0945043 | − | 0.622081i | ||||
\(821\) | −14.7331 | −0.514188 | −0.257094 | − | 0.966386i | \(-0.582765\pi\) | ||||
−0.257094 | + | 0.966386i | \(0.582765\pi\) | |||||||
\(822\) | 19.6260 | − | 16.8697i | 0.684537 | − | 0.588399i | ||||
\(823\) | 30.2507i | 1.05447i | 0.849719 | + | 0.527236i | \(0.176772\pi\) | ||||
−0.849719 | + | 0.527236i | \(0.823228\pi\) | |||||||
\(824\) | −27.6359 | − | 44.1532i | −0.962742 | − | 1.53815i | ||||
\(825\) | −7.96252 | −0.277219 | ||||||||
\(826\) | 72.0831 | − | 61.9595i | 2.50809 | − | 2.15585i | ||||
\(827\) | 9.90648i | 0.344482i | 0.985055 | + | 0.172241i | \(0.0551008\pi\) | ||||
−0.985055 | + | 0.172241i | \(0.944899\pi\) | |||||||
\(828\) | −11.6666 | − | 1.77234i | −0.405442 | − | 0.0615932i | ||||
\(829\) | 0.604977 | 0.0210117 | 0.0105059 | − | 0.999945i | \(-0.496656\pi\) | ||||
0.0105059 | + | 0.999945i | \(0.496656\pi\) | |||||||
\(830\) | 10.1375 | + | 11.7938i | 0.351876 | + | 0.409369i | ||||
\(831\) | −2.73938 | −0.0950279 | ||||||||
\(832\) | 25.2173 | + | 12.2527i | 0.874253 | + | 0.424785i | ||||
\(833\) | −71.1295 | −2.46449 | ||||||||
\(834\) | −0.747437 | − | 0.869561i | −0.0258816 | − | 0.0301104i | ||||
\(835\) | 16.7703 | 0.580359 | ||||||||
\(836\) | −39.1069 | − | 5.94097i | −1.35254 | − | 0.205473i | ||||
\(837\) | 8.11655 | 0.280549 | ||||||||
\(838\) | −8.39925 | + | 7.21963i | −0.290147 | + | 0.249398i | ||||
\(839\) | − | 43.0944i | − | 1.48778i | −0.668301 | − | 0.743891i | \(-0.732978\pi\) | ||
0.668301 | − | 0.743891i | \(-0.267022\pi\) | |||||||
\(840\) | 11.1045 | + | 17.7413i | 0.383140 | + | 0.612133i | ||||
\(841\) | 1.96161 | 0.0676416 | ||||||||
\(842\) | 2.12463 | + | 2.47178i | 0.0732197 | + | 0.0851831i | ||||
\(843\) | − | 18.4418i | − | 0.635168i | ||||||
\(844\) | −39.7053 | − | 6.03188i | −1.36671 | − | 0.207626i | ||||
\(845\) | − | 1.11117i | − | 0.0382253i | ||||||
\(846\) | −3.24407 | + | 2.78847i | −0.111534 | + | 0.0958695i | ||||
\(847\) | −7.94870 | −0.273120 | ||||||||
\(848\) | −6.28929 | + | 20.2221i | −0.215975 | + | 0.694431i | ||||
\(849\) | 5.42691i | 0.186251i | ||||||||
\(850\) | 10.7660 | + | 12.5250i | 0.369270 | + | 0.429605i | ||||
\(851\) | 16.8882i | 0.578918i | ||||||||
\(852\) | −8.03764 | − | 1.22105i | −0.275365 | − | 0.0418324i | ||||
\(853\) | 16.6821 | 0.571184 | 0.285592 | − | 0.958351i | \(-0.407810\pi\) | ||||
0.285592 | + | 0.958351i | \(0.407810\pi\) | |||||||
\(854\) | −1.88206 | + | 1.61774i | −0.0644029 | + | 0.0553580i | ||||
\(855\) | 10.0148 | 0.342499 | ||||||||
\(856\) | 17.8104 | + | 28.4553i | 0.608748 | + | 0.972581i | ||||
\(857\) | 4.46983i | 0.152686i | 0.997082 | + | 0.0763432i | \(0.0243244\pi\) | ||||
−0.997082 | + | 0.0763432i | \(0.975676\pi\) | |||||||
\(858\) | −11.4853 | + | 9.87227i | −0.392102 | + | 0.337034i | ||||
\(859\) | 42.9943i | 1.46695i | 0.679718 | + | 0.733474i | \(0.262102\pi\) | ||||
−0.679718 | + | 0.733474i | \(0.737898\pi\) | |||||||
\(860\) | 26.5998 | + | 4.04093i | 0.907044 | + | 0.137795i | ||||
\(861\) | 27.8436i | 0.948907i | ||||||||
\(862\) | 22.4934 | − | 19.3344i | 0.766128 | − | 0.658531i | ||||
\(863\) | 17.2498i | 0.587189i | 0.955930 | + | 0.293595i | \(0.0948516\pi\) | ||||
−0.955930 | + | 0.293595i | \(0.905148\pi\) | |||||||
\(864\) | −2.24704 | − | 5.19142i | −0.0764457 | − | 0.176616i | ||||
\(865\) | − | 22.3887i | − | 0.761238i | ||||||
\(866\) | 22.3793 | − | 19.2363i | 0.760478 | − | 0.653675i | ||||
\(867\) | −3.08787 | −0.104869 | ||||||||
\(868\) | 11.6597 | − | 76.7506i | 0.395755 | − | 2.60509i | ||||
\(869\) | 37.9492 | 1.28734 | ||||||||
\(870\) | 9.23390 | − | 7.93707i | 0.313059 | − | 0.269092i | ||||
\(871\) | −27.3196 | − | 8.74776i | −0.925691 | − | 0.296407i | ||||
\(872\) | 10.5367 | + | 16.8342i | 0.356816 | + | 0.570077i | ||||
\(873\) | − | 5.71259i | − | 0.193342i | ||||||
\(874\) | 35.2032 | + | 40.9550i | 1.19076 | + | 1.38532i | ||||
\(875\) | − | 56.2812i | − | 1.90265i | ||||||
\(876\) | −4.42279 | + | 29.1133i | −0.149432 | + | 0.983648i | ||||
\(877\) | 19.6475 | 0.663448 | 0.331724 | − | 0.943377i | \(-0.392370\pi\) | ||||
0.331724 | + | 0.943377i | \(0.392370\pi\) | |||||||
\(878\) | 33.9951 | − | 29.2208i | 1.14728 | − | 0.986153i | ||||
\(879\) | 13.8229 | 0.466234 | ||||||||
\(880\) | −5.61691 | + | 18.0602i | −0.189346 | + | 0.608810i | ||||
\(881\) | 44.8142 | 1.50983 | 0.754914 | − | 0.655824i | \(-0.227679\pi\) | ||||
0.754914 | + | 0.655824i | \(0.227679\pi\) | |||||||
\(882\) | −14.6299 | − | 17.0203i | −0.492616 | − | 0.573104i | ||||
\(883\) | −20.5967 | −0.693133 | −0.346567 | − | 0.938025i | \(-0.612653\pi\) | ||||
−0.346567 | + | 0.938025i | \(0.612653\pi\) | |||||||
\(884\) | 31.0581 | + | 4.71823i | 1.04460 | + | 0.158691i | ||||
\(885\) | −21.7471 | −0.731021 | ||||||||
\(886\) | −19.8903 | − | 23.1402i | −0.668228 | − | 0.777409i | ||||
\(887\) | − | 36.5355i | − | 1.22674i | −0.789794 | − | 0.613372i | \(-0.789813\pi\) | ||
0.789794 | − | 0.613372i | \(-0.210187\pi\) | |||||||
\(888\) | −6.86241 | + | 4.29525i | −0.230287 | + | 0.144139i | ||||
\(889\) | − | 79.9434i | − | 2.68121i | ||||||
\(890\) | −8.12926 | + | 6.98756i | −0.272493 | + | 0.234224i | ||||
\(891\) | 3.05580 | 0.102373 | ||||||||
\(892\) | −17.9683 | − | 2.72968i | −0.601625 | − | 0.0913966i | ||||
\(893\) | 19.5776 | 0.655139 | ||||||||
\(894\) | 5.43865 | + | 6.32726i | 0.181896 | + | 0.211615i | ||||
\(895\) | 12.5470i | 0.419400i | ||||||||
\(896\) | −52.3183 | + | 13.7905i | −1.74783 | + | 0.460708i | ||||
\(897\) | 20.6776 | 0.690406 | ||||||||
\(898\) | 20.5159 | + | 23.8680i | 0.684624 | + | 0.796485i | ||||
\(899\) | −45.1630 | −1.50627 | ||||||||
\(900\) | −0.782719 | + | 5.15231i | −0.0260906 | + | 0.171744i | ||||
\(901\) | 23.7292i | 0.790534i | ||||||||
\(902\) | −19.0810 | + | 16.4012i | −0.635326 | + | 0.546099i | ||||
\(903\) | −41.5766 | −1.38358 | ||||||||
\(904\) | 5.22435 | + | 8.34682i | 0.173759 | + | 0.277611i | ||||
\(905\) | − | 10.6136i | − | 0.352807i | ||||||
\(906\) | −15.7450 | + | 13.5337i | −0.523092 | + | 0.449627i | ||||
\(907\) | − | 0.123449i | − | 0.00409906i | −0.999998 | − | 0.00204953i | \(-0.999348\pi\) | ||
0.999998 | − | 0.00204953i | \(-0.000652386\pi\) | |||||||
\(908\) | −11.9796 | − | 1.81990i | −0.397558 | − | 0.0603955i | ||||
\(909\) | 0.0467073i | 0.00154918i | ||||||||
\(910\) | −23.9065 | − | 27.8126i | −0.792493 | − | 0.921978i | ||||
\(911\) | 3.37113i | 0.111691i | 0.998439 | + | 0.0558453i | \(0.0177854\pi\) | ||||
−0.998439 | + | 0.0558453i | \(0.982215\pi\) | |||||||
\(912\) | −7.68845 | + | 24.7209i | −0.254590 | + | 0.818591i | ||||
\(913\) | − | 21.7172i | − | 0.718736i | ||||||
\(914\) | −28.4038 | − | 33.0447i | −0.939516 | − | 1.09302i | ||||
\(915\) | 0.567809 | 0.0187712 | ||||||||
\(916\) | −1.91589 | − | 0.291055i | −0.0633027 | − | 0.00961671i | ||||
\(917\) | − | 65.2857i | − | 2.15592i | ||||||
\(918\) | −4.13168 | − | 4.80676i | −0.136366 | − | 0.158647i | ||||
\(919\) | −33.2454 | −1.09666 | −0.548332 | − | 0.836261i | \(-0.684737\pi\) | ||||
−0.548332 | + | 0.836261i | \(0.684737\pi\) | |||||||
\(920\) | 21.8886 | − | 13.7003i | 0.721647 | − | 0.451685i | ||||
\(921\) | 1.98977i | 0.0655652i | ||||||||
\(922\) | 1.89242 | + | 2.20162i | 0.0623235 | + | 0.0725065i | ||||
\(923\) | 14.2458 | 0.468905 | ||||||||
\(924\) | 4.38974 | − | 28.8958i | 0.144412 | − | 0.950602i | ||||
\(925\) | 7.45831 | 0.245228 | ||||||||
\(926\) | −33.5376 | − | 39.0173i | −1.10211 | − | 1.28219i | ||||
\(927\) | − | 18.4162i | − | 0.604867i | ||||||
\(928\) | 12.5032 | + | 28.8867i | 0.410438 | + | 0.948252i | ||||
\(929\) | − | 53.7450i | − | 1.76331i | −0.471890 | − | 0.881657i | \(-0.656428\pi\) | ||
0.471890 | − | 0.881657i | \(-0.343572\pi\) | |||||||
\(930\) | −13.4693 | + | 11.5776i | −0.441676 | + | 0.379645i | ||||
\(931\) | 102.716i | 3.36637i | ||||||||
\(932\) | 20.5301 | + | 3.11886i | 0.672487 | + | 0.102162i | ||||
\(933\) | −11.1604 | −0.365376 | ||||||||
\(934\) | −4.01857 | + | 3.45419i | −0.131492 | + | 0.113025i | ||||
\(935\) | 21.1924i | 0.693064i | ||||||||
\(936\) | 5.25904 | + | 8.40224i | 0.171897 | + | 0.274636i | ||||
\(937\) | − | 22.6711i | − | 0.740634i | −0.928905 | − | 0.370317i | \(-0.879249\pi\) | ||
0.928905 | − | 0.370317i | \(-0.120751\pi\) | |||||||
\(938\) | 50.9861 | − | 21.5645i | 1.66475 | − | 0.704105i | ||||
\(939\) | 13.7215i | 0.447783i | ||||||||
\(940\) | 1.40596 | − | 9.25485i | 0.0458574 | − | 0.301860i | ||||
\(941\) | − | 22.6073i | − | 0.736978i | −0.929632 | − | 0.368489i | \(-0.879875\pi\) | ||
0.929632 | − | 0.368489i | \(-0.120125\pi\) | |||||||
\(942\) | −2.83061 | − | 3.29310i | −0.0922263 | − | 0.107295i | ||||
\(943\) | 34.3525 | 1.11867 | ||||||||
\(944\) | 16.6955 | − | 53.6814i | 0.543391 | − | 1.74718i | ||||
\(945\) | 7.39986i | 0.240717i | ||||||||
\(946\) | −24.4905 | − | 28.4920i | −0.796256 | − | 0.926356i | ||||
\(947\) | − | 39.4953i | − | 1.28342i | −0.766946 | − | 0.641712i | \(-0.778225\pi\) | ||
0.766946 | − | 0.641712i | \(-0.221775\pi\) | |||||||
\(948\) | 3.73043 | − | 24.5558i | 0.121159 | − | 0.797536i | ||||
\(949\) | − | 51.5999i | − | 1.67500i | ||||||
\(950\) | 18.0870 | − | 15.5468i | 0.586818 | − | 0.504404i | ||||
\(951\) | 6.57889 | 0.213335 | ||||||||
\(952\) | −51.3883 | + | 32.1644i | −1.66551 | + | 1.04246i | ||||
\(953\) | −52.4094 | −1.69771 | −0.848853 | − | 0.528628i | \(-0.822707\pi\) | ||||
−0.848853 | + | 0.528628i | \(0.822707\pi\) | |||||||
\(954\) | −5.67808 | + | 4.88063i | −0.183835 | + | 0.158016i | ||||
\(955\) | 36.5864i | 1.18391i | ||||||||
\(956\) | 4.26078 | − | 28.0469i | 0.137803 | − | 0.907101i | ||||
\(957\) | −17.0034 | −0.549642 | ||||||||
\(958\) | 43.6105 | − | 37.4857i | 1.40899 | − | 1.21111i | ||||
\(959\) | − | 87.5150i | − | 2.82601i | ||||||
\(960\) | 11.1341 | + | 5.40986i | 0.359351 | + | 0.174603i | ||||
\(961\) | 34.8783 | 1.12511 | ||||||||
\(962\) | 10.7580 | − | 9.24713i | 0.346852 | − | 0.298139i | ||||
\(963\) | 11.8686i | 0.382461i | ||||||||
\(964\) | 0.487462 | − | 3.20876i | 0.0157001 | − | 0.103347i | ||||
\(965\) | − | 6.45956i | − | 0.207940i | ||||||
\(966\) | −30.2614 | + | 26.0114i | −0.973643 | + | 0.836902i | ||||
\(967\) | − | 3.79429i | − | 0.122016i | −0.998137 | − | 0.0610080i | \(-0.980568\pi\) | ||
0.998137 | − | 0.0610080i | \(-0.0194315\pi\) | |||||||
\(968\) | −3.98495 | + | 2.49422i | −0.128081 | + | 0.0801673i | ||||
\(969\) | 29.0082i | 0.931877i | ||||||||
\(970\) | 8.14857 | + | 9.47996i | 0.261635 | + | 0.304383i | ||||
\(971\) | − | 3.30522i | − | 0.106070i | −0.998593 | − | 0.0530348i | \(-0.983111\pi\) | ||
0.998593 | − | 0.0530348i | \(-0.0168894\pi\) | |||||||
\(972\) | 0.300386 | − | 1.97731i | 0.00963489 | − | 0.0634224i | ||||
\(973\) | −3.87748 | −0.124306 | ||||||||
\(974\) | 22.1086 | + | 25.7209i | 0.708406 | + | 0.824152i | ||||
\(975\) | − | 9.13185i | − | 0.292453i | ||||||
\(976\) | −0.435912 | + | 1.40160i | −0.0139532 | + | 0.0448642i | ||||
\(977\) | 25.9922 | 0.831564 | 0.415782 | − | 0.909464i | \(-0.363508\pi\) | ||||
0.415782 | + | 0.909464i | \(0.363508\pi\) | |||||||
\(978\) | 25.0136 | − | 21.5006i | 0.799848 | − | 0.687515i | ||||
\(979\) | 14.9693 | 0.478421 | ||||||||
\(980\) | 48.5564 | + | 7.37651i | 1.55108 | + | 0.235634i | ||||
\(981\) | 7.02149i | 0.224179i | ||||||||
\(982\) | 7.70102 | − | 6.61947i | 0.245749 | − | 0.211236i | ||||
\(983\) | 30.1713 | 0.962315 | 0.481157 | − | 0.876634i | \(-0.340217\pi\) | ||||
0.481157 | + | 0.876634i | \(0.340217\pi\) | |||||||
\(984\) | 8.73704 | + | 13.9590i | 0.278527 | + | 0.444995i | ||||
\(985\) | −0.485043 | −0.0154548 | ||||||||
\(986\) | 22.9900 | + | 26.7463i | 0.732150 | + | 0.851776i | ||||
\(987\) | 14.4657i | 0.460449i | ||||||||
\(988\) | 6.81343 | − | 44.8499i | 0.216764 | − | 1.42687i | ||||
\(989\) | 51.2958i | 1.63111i | ||||||||
\(990\) | −5.07105 | + | 4.35886i | −0.161169 | + | 0.138534i | ||||
\(991\) | 21.2569 | 0.675248 | 0.337624 | − | 0.941281i | \(-0.390377\pi\) | ||||
0.337624 | + | 0.941281i | \(0.390377\pi\) | |||||||
\(992\) | −18.2382 | − | 42.1364i | −0.579062 | − | 1.33783i | ||||
\(993\) | −5.83274 | −0.185096 | ||||||||
\(994\) | −20.8484 | + | 17.9204i | −0.661272 | + | 0.568401i | ||||
\(995\) | −19.5191 | −0.618796 | ||||||||
\(996\) | −14.0526 | − | 2.13481i | −0.445273 | − | 0.0676442i | ||||
\(997\) | −14.0203 | −0.444027 | −0.222014 | − | 0.975044i | \(-0.571263\pi\) | ||||
−0.222014 | + | 0.975044i | \(0.571263\pi\) | |||||||
\(998\) | 5.98682 | + | 6.96500i | 0.189509 | + | 0.220473i | ||||
\(999\) | −2.86229 | −0.0905590 |
(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.e.a.535.11 | ✓ | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.23 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.24 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.12 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.11 | ✓ | 34 | 1.1 | even | 1 | trivial | |
804.2.e.a.535.12 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.23 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.24 | yes | 34 | 67.66 | odd | 2 |