Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(26,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.26");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 26.13 | ||
Character | \(\chi\) | \(=\) | 105.26 |
Dual form | 105.4.s.b.101.13 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.06378 | + | 1.76887i | 1.08321 | + | 0.625391i | 0.931760 | − | 0.363075i | \(-0.118273\pi\) |
0.151448 | + | 0.988465i | \(0.451606\pi\) | |||||||
\(3\) | 4.26753 | + | 2.96449i | 0.821287 | + | 0.570516i | ||||
\(4\) | 2.25781 | + | 3.91065i | 0.282227 | + | 0.488831i | ||||
\(5\) | 2.50000 | − | 4.33013i | 0.223607 | − | 0.387298i | ||||
\(6\) | 7.83096 | + | 16.6312i | 0.532829 | + | 1.13161i | ||||
\(7\) | 5.77785 | + | 17.5959i | 0.311975 | + | 0.950090i | ||||
\(8\) | − | 12.3268i | − | 0.544773i | ||||||
\(9\) | 9.42363 | + | 25.3021i | 0.349023 | + | 0.937114i | ||||
\(10\) | 15.3189 | − | 8.84436i | 0.484425 | − | 0.279683i | ||||
\(11\) | −3.05657 | + | 1.76471i | −0.0837811 | + | 0.0483710i | −0.541305 | − | 0.840826i | \(-0.682070\pi\) |
0.457524 | + | 0.889197i | \(0.348736\pi\) | |||||||
\(12\) | −1.95778 | + | 23.3821i | −0.0470968 | + | 0.562485i | ||||
\(13\) | 14.5404i | 0.310214i | 0.987898 | + | 0.155107i | \(0.0495723\pi\) | ||||
−0.987898 | + | 0.155107i | \(0.950428\pi\) | |||||||
\(14\) | −13.4229 | + | 64.1302i | −0.256244 | + | 1.22425i | ||||
\(15\) | 23.5054 | − | 11.0677i | 0.404605 | − | 0.190512i | ||||
\(16\) | 39.8671 | − | 69.0518i | 0.622923 | − | 1.07893i | ||||
\(17\) | −30.9412 | − | 53.5917i | −0.441432 | − | 0.764582i | 0.556364 | − | 0.830939i | \(-0.312196\pi\) |
−0.997796 | + | 0.0663561i | \(0.978863\pi\) | |||||||
\(18\) | −15.8842 | + | 94.1891i | −0.207997 | + | 1.23337i | ||||
\(19\) | −39.8972 | − | 23.0346i | −0.481739 | − | 0.278132i | 0.239402 | − | 0.970921i | \(-0.423049\pi\) |
−0.721141 | + | 0.692788i | \(0.756382\pi\) | |||||||
\(20\) | 22.5781 | 0.252431 | ||||||||
\(21\) | −27.5057 | + | 92.2195i | −0.285821 | + | 0.958283i | ||||
\(22\) | −12.4862 | −0.121003 | ||||||||
\(23\) | −99.5813 | − | 57.4933i | −0.902788 | − | 0.521225i | −0.0246846 | − | 0.999695i | \(-0.507858\pi\) |
−0.878104 | + | 0.478470i | \(0.841191\pi\) | |||||||
\(24\) | 36.5427 | − | 52.6051i | 0.310802 | − | 0.447415i | ||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | −25.7201 | + | 44.5486i | −0.194005 | + | 0.336027i | ||||
\(27\) | −34.7920 | + | 135.914i | −0.247990 | + | 0.968763i | ||||
\(28\) | −55.7661 | + | 62.3234i | −0.376386 | + | 0.420644i | ||||
\(29\) | − | 127.376i | − | 0.815628i | −0.913065 | − | 0.407814i | \(-0.866291\pi\) | ||
0.913065 | − | 0.407814i | \(-0.133709\pi\) | |||||||
\(30\) | 91.5928 | + | 7.66905i | 0.557416 | + | 0.0466723i | ||||
\(31\) | 183.725 | − | 106.074i | 1.06445 | − | 0.614561i | 0.137791 | − | 0.990461i | \(-0.456000\pi\) |
0.926660 | + | 0.375900i | \(0.122666\pi\) | |||||||
\(32\) | 158.885 | − | 91.7322i | 0.877723 | − | 0.506753i | ||||
\(33\) | −18.2755 | − | 1.53020i | −0.0964047 | − | 0.00807195i | ||||
\(34\) | − | 218.924i | − | 1.10427i | ||||||
\(35\) | 90.6372 | + | 18.9710i | 0.437728 | + | 0.0916194i | ||||
\(36\) | −77.6707 | + | 93.9799i | −0.359587 | + | 0.435092i | ||||
\(37\) | −142.232 | + | 246.353i | −0.631969 | + | 1.09460i | 0.355180 | + | 0.934798i | \(0.384419\pi\) |
−0.987149 | + | 0.159804i | \(0.948914\pi\) | |||||||
\(38\) | −81.4907 | − | 141.146i | −0.347882 | − | 0.602550i | ||||
\(39\) | −43.1049 | + | 62.0516i | −0.176982 | + | 0.254775i | ||||
\(40\) | −53.3767 | − | 30.8170i | −0.210990 | − | 0.121815i | ||||
\(41\) | 328.199 | 1.25015 | 0.625075 | − | 0.780565i | \(-0.285068\pi\) | ||||
0.625075 | + | 0.780565i | \(0.285068\pi\) | |||||||
\(42\) | −247.396 | + | 233.886i | −0.908905 | + | 0.859270i | ||||
\(43\) | −108.351 | −0.384264 | −0.192132 | − | 0.981369i | \(-0.561540\pi\) | ||||
−0.192132 | + | 0.981369i | \(0.561540\pi\) | |||||||
\(44\) | −13.8023 | − | 7.96879i | −0.0472905 | − | 0.0273032i | ||||
\(45\) | 133.120 | + | 22.4497i | 0.440987 | + | 0.0743689i | ||||
\(46\) | −203.396 | − | 352.293i | −0.651939 | − | 1.12919i | ||||
\(47\) | 194.765 | − | 337.343i | 0.604455 | − | 1.04695i | −0.387682 | − | 0.921793i | \(-0.626724\pi\) |
0.992137 | − | 0.125154i | \(-0.0399425\pi\) | |||||||
\(48\) | 374.837 | − | 176.495i | 1.12715 | − | 0.530727i | ||||
\(49\) | −276.233 | + | 203.333i | −0.805344 | + | 0.592808i | ||||
\(50\) | − | 88.4436i | − | 0.250156i | ||||||
\(51\) | 26.8295 | − | 320.429i | 0.0736643 | − | 0.879785i | ||||
\(52\) | −56.8624 | + | 32.8295i | −0.151642 | + | 0.0875507i | ||||
\(53\) | −514.874 | + | 297.263i | −1.33440 | + | 0.770418i | −0.985971 | − | 0.166915i | \(-0.946619\pi\) |
−0.348433 | + | 0.937334i | \(0.613286\pi\) | |||||||
\(54\) | −347.009 | + | 354.866i | −0.874480 | + | 0.894281i | ||||
\(55\) | 17.6471i | 0.0432643i | ||||||||
\(56\) | 216.902 | − | 71.2225i | 0.517584 | − | 0.169955i | ||||
\(57\) | −101.976 | − | 216.576i | −0.236967 | − | 0.503266i | ||||
\(58\) | 225.313 | − | 390.253i | 0.510086 | − | 0.883495i | ||||
\(59\) | −275.460 | − | 477.110i | −0.607827 | − | 1.05279i | −0.991598 | − | 0.129359i | \(-0.958708\pi\) |
0.383770 | − | 0.923429i | \(-0.374625\pi\) | |||||||
\(60\) | 96.3529 | + | 66.9326i | 0.207318 | + | 0.144016i | ||||
\(61\) | 411.663 | + | 237.674i | 0.864067 | + | 0.498869i | 0.865372 | − | 0.501130i | \(-0.167082\pi\) |
−0.00130515 | + | 0.999999i | \(0.500415\pi\) | |||||||
\(62\) | 750.523 | 1.53736 | ||||||||
\(63\) | −390.765 | + | 312.009i | −0.781457 | + | 0.623960i | ||||
\(64\) | 11.1767 | 0.0218295 | ||||||||
\(65\) | 62.9618 | + | 36.3510i | 0.120145 | + | 0.0693660i | ||||
\(66\) | −53.2853 | − | 37.0152i | −0.0993782 | − | 0.0690342i | ||||
\(67\) | 208.025 | + | 360.310i | 0.379318 | + | 0.656998i | 0.990963 | − | 0.134134i | \(-0.0428253\pi\) |
−0.611645 | + | 0.791132i | \(0.709492\pi\) | |||||||
\(68\) | 139.719 | − | 242.000i | 0.249168 | − | 0.431571i | ||||
\(69\) | −254.528 | − | 540.562i | −0.444081 | − | 0.943130i | ||||
\(70\) | 244.135 | + | 218.448i | 0.416853 | + | 0.372994i | ||||
\(71\) | − | 399.916i | − | 0.668470i | −0.942490 | − | 0.334235i | \(-0.891522\pi\) | ||
0.942490 | − | 0.334235i | \(-0.108478\pi\) | |||||||
\(72\) | 311.894 | − | 116.163i | 0.510515 | − | 0.190139i | ||||
\(73\) | −134.493 | + | 77.6498i | −0.215634 | + | 0.124496i | −0.603927 | − | 0.797040i | \(-0.706398\pi\) |
0.388293 | + | 0.921536i | \(0.373065\pi\) | |||||||
\(74\) | −871.535 | + | 503.181i | −1.36911 | + | 0.790454i | ||||
\(75\) | 10.8389 | − | 129.451i | 0.0166876 | − | 0.199303i | ||||
\(76\) | − | 208.032i | − | 0.313985i | ||||||
\(77\) | −48.7122 | − | 43.5870i | −0.0720944 | − | 0.0645090i | ||||
\(78\) | −241.825 | + | 113.865i | −0.351042 | + | 0.165291i | ||||
\(79\) | −586.016 | + | 1015.01i | −0.834581 | + | 1.44554i | 0.0597897 | + | 0.998211i | \(0.480957\pi\) |
−0.894371 | + | 0.447326i | \(0.852376\pi\) | |||||||
\(80\) | −199.335 | − | 345.259i | −0.278580 | − | 0.482514i | ||||
\(81\) | −551.390 | + | 476.875i | −0.756365 | + | 0.654150i | ||||
\(82\) | 1005.53 | + | 580.543i | 1.35417 | + | 0.781832i | ||||
\(83\) | −4.43096 | −0.00585977 | −0.00292988 | − | 0.999996i | \(-0.500933\pi\) | ||||
−0.00292988 | + | 0.999996i | \(0.500933\pi\) | |||||||
\(84\) | −422.741 | + | 100.649i | −0.549105 | + | 0.130735i | ||||
\(85\) | −309.412 | −0.394829 | ||||||||
\(86\) | −331.963 | − | 191.659i | −0.416238 | − | 0.240315i | ||||
\(87\) | 377.606 | − | 543.583i | 0.465329 | − | 0.669864i | ||||
\(88\) | 21.7533 | + | 37.6778i | 0.0263512 | + | 0.0456417i | ||||
\(89\) | −505.709 | + | 875.913i | −0.602303 | + | 1.04322i | 0.390168 | + | 0.920744i | \(0.372417\pi\) |
−0.992471 | + | 0.122476i | \(0.960916\pi\) | |||||||
\(90\) | 368.140 | + | 304.253i | 0.431171 | + | 0.356346i | ||||
\(91\) | −255.852 | + | 84.0123i | −0.294732 | + | 0.0967789i | ||||
\(92\) | − | 519.236i | − | 0.588415i | ||||||
\(93\) | 1098.51 | + | 91.9777i | 1.22484 | + | 0.102555i | ||||
\(94\) | 1193.43 | − | 689.028i | 1.30950 | − | 0.756041i | ||||
\(95\) | −199.486 | + | 115.173i | −0.215440 | + | 0.124384i | ||||
\(96\) | 949.985 | + | 79.5420i | 1.00997 | + | 0.0845648i | ||||
\(97\) | 27.5269i | 0.0288137i | 0.999896 | + | 0.0144069i | \(0.00458600\pi\) | ||||
−0.999896 | + | 0.0144069i | \(0.995414\pi\) | |||||||
\(98\) | −1205.99 | + | 134.347i | −1.24309 | + | 0.138480i | ||||
\(99\) | −73.4549 | − | 60.7076i | −0.0745707 | − | 0.0616298i | ||||
\(100\) | 56.4453 | − | 97.7662i | 0.0564453 | − | 0.0977662i | ||||
\(101\) | 953.191 | + | 1650.97i | 0.939069 | + | 1.62652i | 0.767211 | + | 0.641394i | \(0.221644\pi\) |
0.171858 | + | 0.985122i | \(0.445023\pi\) | |||||||
\(102\) | 648.997 | − | 934.265i | 0.630003 | − | 0.906922i | ||||
\(103\) | 1509.53 | + | 871.529i | 1.44407 | + | 0.833732i | 0.998118 | − | 0.0613274i | \(-0.0195334\pi\) |
0.445948 | + | 0.895059i | \(0.352867\pi\) | |||||||
\(104\) | 179.237 | 0.168996 | ||||||||
\(105\) | 330.558 | + | 349.652i | 0.307230 | + | 0.324977i | ||||
\(106\) | −2103.28 | −1.92725 | ||||||||
\(107\) | 1554.57 | + | 897.534i | 1.40455 | + | 0.810915i | 0.994855 | − | 0.101310i | \(-0.0323034\pi\) |
0.409690 | + | 0.912225i | \(0.365637\pi\) | |||||||
\(108\) | −610.064 | + | 170.808i | −0.543551 | + | 0.152185i | ||||
\(109\) | −382.680 | − | 662.821i | −0.336276 | − | 0.582447i | 0.647453 | − | 0.762105i | \(-0.275834\pi\) |
−0.983729 | + | 0.179658i | \(0.942501\pi\) | |||||||
\(110\) | −31.2155 | + | 54.0669i | −0.0270571 | + | 0.0468643i | ||||
\(111\) | −1337.29 | + | 629.675i | −1.14351 | + | 0.538434i | ||||
\(112\) | 1445.38 | + | 302.527i | 1.21942 | + | 0.255233i | ||||
\(113\) | − | 142.010i | − | 0.118222i | −0.998251 | − | 0.0591112i | \(-0.981173\pi\) | ||
0.998251 | − | 0.0591112i | \(-0.0188267\pi\) | |||||||
\(114\) | 70.6615 | − | 843.923i | 0.0580531 | − | 0.693339i | ||||
\(115\) | −497.906 | + | 287.466i | −0.403739 | + | 0.233099i | ||||
\(116\) | 498.124 | − | 287.592i | 0.398704 | − | 0.230192i | ||||
\(117\) | −367.903 | + | 137.023i | −0.290706 | + | 0.108272i | ||||
\(118\) | − | 1949.01i | − | 1.52052i | ||||||
\(119\) | 764.222 | − | 854.084i | 0.588707 | − | 0.657931i | ||||
\(120\) | −136.430 | − | 289.747i | −0.103786 | − | 0.220418i | ||||
\(121\) | −659.272 | + | 1141.89i | −0.495320 | + | 0.857920i | ||||
\(122\) | 840.829 | + | 1456.36i | 0.623976 | + | 1.08076i | ||||
\(123\) | 1400.60 | + | 972.943i | 1.02673 | + | 0.713230i | ||||
\(124\) | 829.634 | + | 478.989i | 0.600833 | + | 0.346891i | ||||
\(125\) | −125.000 | −0.0894427 | ||||||||
\(126\) | −1749.12 | + | 264.713i | −1.23670 | + | 0.187163i | ||||
\(127\) | −2291.18 | −1.60086 | −0.800430 | − | 0.599426i | \(-0.795396\pi\) | ||||
−0.800430 | + | 0.599426i | \(0.795396\pi\) | |||||||
\(128\) | −1236.84 | − | 714.087i | −0.854077 | − | 0.493101i | ||||
\(129\) | −462.391 | − | 321.205i | −0.315591 | − | 0.219229i | ||||
\(130\) | 128.601 | + | 222.743i | 0.0867617 | + | 0.150276i | ||||
\(131\) | −259.146 | + | 448.855i | −0.172838 | + | 0.299364i | −0.939411 | − | 0.342793i | \(-0.888627\pi\) |
0.766573 | + | 0.642157i | \(0.221960\pi\) | |||||||
\(132\) | −35.2786 | − | 74.9239i | −0.0232622 | − | 0.0494037i | ||||
\(133\) | 174.796 | − | 835.118i | 0.113960 | − | 0.544466i | ||||
\(134\) | 1471.88i | 0.948888i | ||||||||
\(135\) | 501.543 | + | 490.438i | 0.319748 | + | 0.312668i | ||||
\(136\) | −660.615 | + | 381.406i | −0.416524 | + | 0.240480i | ||||
\(137\) | 1012.79 | − | 584.732i | 0.631593 | − | 0.364650i | −0.149776 | − | 0.988720i | \(-0.547855\pi\) |
0.781369 | + | 0.624070i | \(0.214522\pi\) | |||||||
\(138\) | 176.367 | − | 2106.39i | 0.108793 | − | 1.29933i | ||||
\(139\) | − | 2599.73i | − | 1.58638i | −0.608977 | − | 0.793188i | \(-0.708420\pi\) | ||
0.608977 | − | 0.793188i | \(-0.291580\pi\) | |||||||
\(140\) | 130.453 | + | 397.283i | 0.0787521 | + | 0.239833i | ||||
\(141\) | 1831.21 | − | 862.243i | 1.09373 | − | 0.514992i | ||||
\(142\) | 707.401 | − | 1225.25i | 0.418055 | − | 0.724092i | ||||
\(143\) | −25.6597 | − | 44.4438i | −0.0150054 | − | 0.0259901i | ||||
\(144\) | 2122.85 | + | 358.001i | 1.22850 | + | 0.207176i | ||||
\(145\) | −551.556 | − | 318.441i | −0.315891 | − | 0.182380i | ||||
\(146\) | −549.410 | −0.311435 | ||||||||
\(147\) | −1781.61 | + | 48.8418i | −0.999624 | + | 0.0274041i | ||||
\(148\) | −1284.54 | −0.713434 | ||||||||
\(149\) | −435.444 | − | 251.404i | −0.239416 | − | 0.138227i | 0.375492 | − | 0.926825i | \(-0.377474\pi\) |
−0.614908 | + | 0.788599i | \(0.710807\pi\) | |||||||
\(150\) | 262.190 | − | 377.436i | 0.142718 | − | 0.205450i | ||||
\(151\) | −1175.38 | − | 2035.82i | −0.633452 | − | 1.09717i | −0.986841 | − | 0.161695i | \(-0.948304\pi\) |
0.353389 | − | 0.935477i | \(-0.385029\pi\) | |||||||
\(152\) | −283.944 | + | 491.805i | −0.151519 | + | 0.262439i | ||||
\(153\) | 1064.40 | − | 1287.91i | 0.562431 | − | 0.680529i | ||||
\(154\) | −72.1434 | − | 219.706i | −0.0377499 | − | 0.114964i | ||||
\(155\) | − | 1060.74i | − | 0.549680i | ||||||
\(156\) | −339.985 | − | 28.4669i | −0.174491 | − | 0.0146101i | ||||
\(157\) | 2469.13 | − | 1425.55i | 1.25515 | − | 0.724659i | 0.283019 | − | 0.959114i | \(-0.408664\pi\) |
0.972127 | + | 0.234455i | \(0.0753306\pi\) | |||||||
\(158\) | −3590.84 | + | 2073.17i | −1.80805 | + | 1.04388i | ||||
\(159\) | −3078.47 | − | 257.760i | −1.53546 | − | 0.128564i | ||||
\(160\) | − | 917.322i | − | 0.453254i | ||||||
\(161\) | 436.282 | − | 2084.41i | 0.213564 | − | 1.02034i | ||||
\(162\) | −2532.87 | + | 485.699i | −1.22840 | + | 0.235556i | ||||
\(163\) | −1119.63 | + | 1939.25i | −0.538011 | + | 0.931863i | 0.461000 | + | 0.887400i | \(0.347491\pi\) |
−0.999011 | + | 0.0444628i | \(0.985842\pi\) | |||||||
\(164\) | 741.013 | + | 1283.47i | 0.352826 | + | 0.611112i | ||||
\(165\) | −52.3147 | + | 75.3097i | −0.0246830 | + | 0.0355324i | ||||
\(166\) | −13.5755 | − | 7.83779i | −0.00634735 | − | 0.00366464i | ||||
\(167\) | −2469.34 | −1.14421 | −0.572105 | − | 0.820181i | \(-0.693873\pi\) | ||||
−0.572105 | + | 0.820181i | \(0.693873\pi\) | |||||||
\(168\) | 1136.77 | + | 339.058i | 0.522047 | + | 0.155708i | ||||
\(169\) | 1985.58 | 0.903767 | ||||||||
\(170\) | −947.969 | − | 547.310i | −0.427682 | − | 0.246922i | ||||
\(171\) | 206.848 | − | 1226.55i | 0.0925033 | − | 0.548519i | ||||
\(172\) | −244.636 | − | 423.723i | −0.108450 | − | 0.187840i | ||||
\(173\) | −373.114 | + | 646.252i | −0.163973 | + | 0.284009i | −0.936290 | − | 0.351228i | \(-0.885764\pi\) |
0.772317 | + | 0.635237i | \(0.219098\pi\) | |||||||
\(174\) | 2118.43 | − | 997.480i | 0.922975 | − | 0.434590i | ||||
\(175\) | 308.740 | − | 345.043i | 0.133363 | − | 0.149045i | ||||
\(176\) | 281.416i | 0.120526i | ||||||||
\(177\) | 238.854 | − | 2852.68i | 0.101432 | − | 1.21142i | ||||
\(178\) | −3098.76 | + | 1789.07i | −1.30484 | + | 0.753350i | ||||
\(179\) | 2952.97 | − | 1704.90i | 1.23305 | − | 0.711901i | 0.265384 | − | 0.964143i | \(-0.414501\pi\) |
0.967664 | + | 0.252242i | \(0.0811679\pi\) | |||||||
\(180\) | 212.768 | + | 571.274i | 0.0881044 | + | 0.236557i | ||||
\(181\) | − | 2937.61i | − | 1.20636i | −0.797607 | − | 0.603178i | \(-0.793901\pi\) | ||
0.797607 | − | 0.603178i | \(-0.206099\pi\) | |||||||
\(182\) | −932.480 | − | 195.174i | −0.379780 | − | 0.0794906i | ||||
\(183\) | 1052.20 | + | 2234.65i | 0.425034 | + | 0.902679i | ||||
\(184\) | −708.709 | + | 1227.52i | −0.283950 | + | 0.491815i | ||||
\(185\) | 711.161 | + | 1231.77i | 0.282625 | + | 0.489521i | ||||
\(186\) | 3202.88 | + | 2224.92i | 1.26262 | + | 0.877090i | ||||
\(187\) | 189.148 | + | 109.205i | 0.0739673 | + | 0.0427050i | ||||
\(188\) | 1758.97 | 0.682374 | ||||||||
\(189\) | −2592.55 | + | 173.091i | −0.997779 | + | 0.0666164i | ||||
\(190\) | −814.907 | −0.311155 | ||||||||
\(191\) | −92.6615 | − | 53.4982i | −0.0351034 | − | 0.0202670i | 0.482346 | − | 0.875981i | \(-0.339785\pi\) |
−0.517449 | + | 0.855714i | \(0.673118\pi\) | |||||||
\(192\) | 47.6970 | + | 33.1333i | 0.0179283 | + | 0.0124541i | ||||
\(193\) | 1091.15 | + | 1889.93i | 0.406958 | + | 0.704871i | 0.994547 | − | 0.104288i | \(-0.0332563\pi\) |
−0.587590 | + | 0.809159i | \(0.699923\pi\) | |||||||
\(194\) | −48.6915 | + | 84.3362i | −0.0180198 | + | 0.0312113i | ||||
\(195\) | 160.929 | + | 341.779i | 0.0590994 | + | 0.125514i | ||||
\(196\) | −1418.85 | − | 621.161i | −0.517073 | − | 0.226371i | ||||
\(197\) | − | 205.038i | − | 0.0741541i | −0.999312 | − | 0.0370771i | \(-0.988195\pi\) | ||
0.999312 | − | 0.0370771i | \(-0.0118047\pi\) | |||||||
\(198\) | −117.665 | − | 315.927i | −0.0422329 | − | 0.113394i | ||||
\(199\) | −2307.14 | + | 1332.03i | −0.821854 | + | 0.474498i | −0.851056 | − | 0.525076i | \(-0.824037\pi\) |
0.0292011 | + | 0.999574i | \(0.490704\pi\) | |||||||
\(200\) | −266.883 | + | 154.085i | −0.0943575 | + | 0.0544773i | ||||
\(201\) | −180.381 | + | 2154.32i | −0.0632990 | + | 0.755991i | ||||
\(202\) | 6744.29i | 2.34914i | ||||||||
\(203\) | 2241.31 | − | 735.962i | 0.774920 | − | 0.254455i | ||||
\(204\) | 1313.66 | − | 618.549i | 0.450856 | − | 0.212290i | ||||
\(205\) | 820.499 | − | 1421.15i | 0.279542 | − | 0.484181i | ||||
\(206\) | 3083.25 | + | 5340.34i | 1.04282 | + | 1.80621i | ||||
\(207\) | 516.282 | − | 3061.41i | 0.173353 | − | 1.02794i | ||||
\(208\) | 1004.04 | + | 579.683i | 0.334701 | + | 0.193239i | ||||
\(209\) | 162.598 | 0.0538141 | ||||||||
\(210\) | 394.265 | + | 1655.97i | 0.129557 | + | 0.544156i | ||||
\(211\) | 3884.53 | 1.26740 | 0.633701 | − | 0.773578i | \(-0.281535\pi\) | ||||
0.633701 | + | 0.773578i | \(0.281535\pi\) | |||||||
\(212\) | −2324.98 | − | 1342.33i | −0.753209 | − | 0.434865i | ||||
\(213\) | 1185.55 | − | 1706.66i | 0.381373 | − | 0.549005i | ||||
\(214\) | 3175.24 | + | 5499.68i | 1.01428 | + | 1.75678i | ||||
\(215\) | −270.877 | + | 469.174i | −0.0859241 | + | 0.148825i | ||||
\(216\) | 1675.38 | + | 428.875i | 0.527756 | + | 0.135098i | ||||
\(217\) | 2928.00 | + | 2619.93i | 0.915971 | + | 0.819598i | ||||
\(218\) | − | 2707.65i | − | 0.841216i | ||||||
\(219\) | −804.147 | − | 67.3311i | −0.248124 | − | 0.0207754i | ||||
\(220\) | −69.0117 | + | 39.8439i | −0.0211490 | + | 0.0122104i | ||||
\(221\) | 779.246 | − | 449.898i | 0.237184 | − | 0.136938i | ||||
\(222\) | −5210.98 | − | 436.314i | −1.57540 | − | 0.131908i | ||||
\(223\) | − | 563.780i | − | 0.169298i | −0.996411 | − | 0.0846490i | \(-0.973023\pi\) | ||
0.996411 | − | 0.0846490i | \(-0.0269769\pi\) | |||||||
\(224\) | 2532.12 | + | 2265.71i | 0.755289 | + | 0.675822i | ||||
\(225\) | 430.011 | − | 520.304i | 0.127411 | − | 0.154164i | ||||
\(226\) | 251.197 | − | 435.085i | 0.0739352 | − | 0.128059i | ||||
\(227\) | −437.969 | − | 758.584i | −0.128057 | − | 0.221802i | 0.794867 | − | 0.606784i | \(-0.207541\pi\) |
−0.922924 | + | 0.384982i | \(0.874207\pi\) | |||||||
\(228\) | 616.707 | − | 887.782i | 0.179134 | − | 0.257872i | ||||
\(229\) | 4417.95 | + | 2550.70i | 1.27487 | + | 0.736049i | 0.975901 | − | 0.218213i | \(-0.0700227\pi\) |
0.298973 | + | 0.954262i | \(0.403356\pi\) | |||||||
\(230\) | −2033.96 | −0.583112 | ||||||||
\(231\) | −78.6677 | − | 330.415i | −0.0224067 | − | 0.0941114i | ||||
\(232\) | −1570.15 | −0.444332 | ||||||||
\(233\) | 5036.52 | + | 2907.84i | 1.41611 | + | 0.817591i | 0.995954 | − | 0.0898610i | \(-0.0286423\pi\) |
0.420155 | + | 0.907452i | \(0.361976\pi\) | |||||||
\(234\) | −1369.55 | − | 230.963i | −0.382607 | − | 0.0645237i | ||||
\(235\) | −973.825 | − | 1686.71i | −0.270321 | − | 0.468209i | ||||
\(236\) | 1243.87 | − | 2154.45i | 0.343090 | − | 0.594250i | ||||
\(237\) | −5509.82 | + | 2594.35i | −1.51013 | + | 0.711059i | ||||
\(238\) | 3852.17 | − | 1264.91i | 1.04916 | − | 0.344504i | ||||
\(239\) | − | 3786.80i | − | 1.02489i | −0.858721 | − | 0.512443i | \(-0.828741\pi\) | ||
0.858721 | − | 0.512443i | \(-0.171259\pi\) | |||||||
\(240\) | 172.846 | − | 2064.33i | 0.0464882 | − | 0.555216i | ||||
\(241\) | 2248.22 | − | 1298.01i | 0.600915 | − | 0.346938i | −0.168486 | − | 0.985704i | \(-0.553888\pi\) |
0.769401 | + | 0.638766i | \(0.220555\pi\) | |||||||
\(242\) | −4039.72 | + | 2332.33i | −1.07307 | + | 0.619538i | ||||
\(243\) | −3766.76 | + | 400.489i | −0.994395 | + | 0.105726i | ||||
\(244\) | 2146.49i | 0.563177i | ||||||||
\(245\) | 189.876 | + | 1704.46i | 0.0495133 | + | 0.444464i | ||||
\(246\) | 2570.12 | + | 5458.36i | 0.666116 | + | 1.41469i | ||||
\(247\) | 334.933 | − | 580.121i | 0.0862805 | − | 0.149442i | ||||
\(248\) | −1307.55 | − | 2264.74i | −0.334797 | − | 0.579885i | ||||
\(249\) | −18.9092 | − | 13.1355i | −0.00481255 | − | 0.00334309i | ||||
\(250\) | −382.972 | − | 221.109i | −0.0968851 | − | 0.0559366i | ||||
\(251\) | −4377.60 | −1.10084 | −0.550422 | − | 0.834887i | \(-0.685533\pi\) | ||||
−0.550422 | + | 0.834887i | \(0.685533\pi\) | |||||||
\(252\) | −2102.43 | − | 823.686i | −0.525559 | − | 0.205902i | ||||
\(253\) | 405.837 | 0.100849 | ||||||||
\(254\) | −7019.66 | − | 4052.80i | −1.73407 | − | 1.00116i | ||||
\(255\) | −1320.42 | − | 917.248i | −0.324268 | − | 0.225256i | ||||
\(256\) | −2570.96 | − | 4453.04i | −0.627677 | − | 1.08717i | ||||
\(257\) | −283.243 | + | 490.592i | −0.0687480 | + | 0.119075i | −0.898350 | − | 0.439280i | \(-0.855234\pi\) |
0.829602 | + | 0.558355i | \(0.188567\pi\) | |||||||
\(258\) | −848.492 | − | 1802.01i | −0.204747 | − | 0.434838i | ||||
\(259\) | −5156.61 | − | 1079.31i | −1.23713 | − | 0.258939i | ||||
\(260\) | 328.295i | 0.0783077i | ||||||||
\(261\) | 3222.89 | − | 1200.35i | 0.764336 | − | 0.284673i | ||||
\(262\) | −1587.93 | + | 916.794i | −0.374438 | + | 0.216182i | ||||
\(263\) | −1051.70 | + | 607.199i | −0.246580 | + | 0.142363i | −0.618197 | − | 0.786023i | \(-0.712137\pi\) |
0.371617 | + | 0.928386i | \(0.378803\pi\) | |||||||
\(264\) | −18.8625 | + | 225.279i | −0.00439738 | + | 0.0525187i | ||||
\(265\) | 2972.63i | 0.689083i | ||||||||
\(266\) | 2012.75 | − | 2249.42i | 0.463946 | − | 0.518500i | ||||
\(267\) | −4754.76 | + | 2238.82i | −1.08984 | + | 0.513159i | ||||
\(268\) | −939.364 | + | 1627.03i | −0.214107 | + | 0.370845i | ||||
\(269\) | −454.101 | − | 786.526i | −0.102926 | − | 0.178273i | 0.809963 | − | 0.586481i | \(-0.199487\pi\) |
−0.912889 | + | 0.408208i | \(0.866154\pi\) | |||||||
\(270\) | 669.094 | + | 2389.76i | 0.150814 | + | 0.538652i | ||||
\(271\) | −3758.84 | − | 2170.17i | −0.842558 | − | 0.486451i | 0.0155746 | − | 0.999879i | \(-0.495042\pi\) |
−0.858133 | + | 0.513427i | \(0.828376\pi\) | |||||||
\(272\) | −4934.14 | −1.09991 | ||||||||
\(273\) | −1340.91 | − | 399.945i | −0.297273 | − | 0.0886657i | ||||
\(274\) | 4137.27 | 0.912195 | ||||||||
\(275\) | 76.4143 | + | 44.1178i | 0.0167562 | + | 0.00967420i | ||||
\(276\) | 1539.27 | − | 2215.86i | 0.335700 | − | 0.483257i | ||||
\(277\) | −3194.05 | − | 5532.26i | −0.692823 | − | 1.20001i | −0.970909 | − | 0.239449i | \(-0.923033\pi\) |
0.278086 | − | 0.960556i | \(-0.410300\pi\) | |||||||
\(278\) | 4598.59 | − | 7964.99i | 0.992105 | − | 1.71838i | ||||
\(279\) | 4415.24 | + | 3649.03i | 0.947433 | + | 0.783016i | ||||
\(280\) | 233.852 | − | 1117.27i | 0.0499118 | − | 0.238463i | ||||
\(281\) | − | 3345.41i | − | 0.710216i | −0.934825 | − | 0.355108i | \(-0.884444\pi\) | ||
0.934825 | − | 0.355108i | \(-0.115556\pi\) | |||||||
\(282\) | 7135.62 | + | 597.465i | 1.50681 | + | 0.126165i | ||||
\(283\) | 949.320 | − | 548.090i | 0.199404 | − | 0.115126i | −0.396974 | − | 0.917830i | \(-0.629940\pi\) |
0.596377 | + | 0.802704i | \(0.296606\pi\) | |||||||
\(284\) | 1563.93 | − | 902.937i | 0.326769 | − | 0.188660i | ||||
\(285\) | −1192.74 | − | 99.8680i | −0.247901 | − | 0.0207567i | ||||
\(286\) | − | 181.555i | − | 0.0375369i | ||||||
\(287\) | 1896.29 | + | 5774.97i | 0.390015 | + | 1.18776i | ||||
\(288\) | 3818.29 | + | 3155.66i | 0.781232 | + | 0.645657i | ||||
\(289\) | 541.785 | − | 938.399i | 0.110276 | − | 0.191003i | ||||
\(290\) | −1126.56 | − | 1951.26i | −0.228117 | − | 0.395111i | ||||
\(291\) | −81.6031 | + | 117.472i | −0.0164387 | + | 0.0236643i | ||||
\(292\) | −607.322 | − | 350.638i | −0.121715 | − | 0.0702723i | ||||
\(293\) | 4350.28 | 0.867392 | 0.433696 | − | 0.901059i | \(-0.357209\pi\) | ||||
0.433696 | + | 0.901059i | \(0.357209\pi\) | |||||||
\(294\) | −5544.85 | − | 3001.80i | −1.09994 | − | 0.595471i | ||||
\(295\) | −2754.60 | −0.543657 | ||||||||
\(296\) | 3036.75 | + | 1753.27i | 0.596310 | + | 0.344280i | ||||
\(297\) | −133.504 | − | 476.828i | −0.0260832 | − | 0.0931595i | ||||
\(298\) | −889.402 | − | 1540.49i | −0.172891 | − | 0.299457i | ||||
\(299\) | 835.976 | − | 1447.95i | 0.161691 | − | 0.280058i | ||||
\(300\) | 530.709 | − | 249.889i | 0.102135 | − | 0.0480911i | ||||
\(301\) | −626.036 | − | 1906.54i | −0.119881 | − | 0.365086i | ||||
\(302\) | − | 8316.40i | − | 1.58462i | ||||||
\(303\) | −826.523 | + | 9871.31i | −0.156708 | + | 1.87159i | ||||
\(304\) | −3181.17 | + | 1836.65i | −0.600172 | + | 0.346510i | ||||
\(305\) | 2058.32 | − | 1188.37i | 0.386422 | − | 0.223101i | ||||
\(306\) | 5539.23 | − | 2063.06i | 1.03483 | − | 0.385416i | ||||
\(307\) | 5750.86i | 1.06912i | 0.845132 | + | 0.534558i | \(0.179522\pi\) | ||||
−0.845132 | + | 0.534558i | \(0.820478\pi\) | |||||||
\(308\) | 60.4703 | − | 288.907i | 0.0111871 | − | 0.0534482i | ||||
\(309\) | 3858.34 | + | 8194.27i | 0.710335 | + | 1.50859i | ||||
\(310\) | 1876.31 | − | 3249.86i | 0.343765 | − | 0.595418i | ||||
\(311\) | −2750.86 | − | 4764.63i | −0.501565 | − | 0.868737i | −0.999998 | − | 0.00180853i | \(-0.999424\pi\) |
0.498433 | − | 0.866928i | \(-0.333909\pi\) | |||||||
\(312\) | 764.899 | + | 531.346i | 0.138795 | + | 0.0964151i | ||||
\(313\) | 623.841 | + | 360.175i | 0.112657 | + | 0.0650424i | 0.555270 | − | 0.831670i | \(-0.312615\pi\) |
−0.442613 | + | 0.896713i | \(0.645948\pi\) | |||||||
\(314\) | 10086.5 | 1.81278 | ||||||||
\(315\) | 374.127 | + | 2472.09i | 0.0669195 | + | 0.442178i | ||||
\(316\) | −5292.46 | −0.942164 | ||||||||
\(317\) | 106.684 | + | 61.5942i | 0.0189022 | + | 0.0109132i | 0.509421 | − | 0.860517i | \(-0.329859\pi\) |
−0.490519 | + | 0.871430i | \(0.663193\pi\) | |||||||
\(318\) | −8975.80 | − | 6235.14i | −1.58282 | − | 1.09953i | ||||
\(319\) | 224.783 | + | 389.335i | 0.0394528 | + | 0.0683342i | ||||
\(320\) | 27.9418 | − | 48.3966i | 0.00488123 | − | 0.00845454i | ||||
\(321\) | 3973.47 | + | 8438.77i | 0.690895 | + | 1.46731i | ||||
\(322\) | 5023.73 | − | 5614.44i | 0.869445 | − | 0.971679i | ||||
\(323\) | 2850.88i | 0.491105i | ||||||||
\(324\) | −3109.83 | − | 1079.60i | −0.533235 | − | 0.185116i | ||||
\(325\) | 314.809 | − | 181.755i | 0.0537307 | − | 0.0310214i | ||||
\(326\) | −6860.56 | + | 3960.95i | −1.16556 | + | 0.672935i | ||||
\(327\) | 331.826 | − | 3963.06i | 0.0561163 | − | 0.670207i | ||||
\(328\) | − | 4045.65i | − | 0.681048i | ||||||
\(329\) | 7061.18 | + | 1477.95i | 1.18327 | + | 0.247666i | ||||
\(330\) | −293.494 | + | 138.194i | −0.0489585 | + | 0.0230525i | ||||
\(331\) | −4816.06 | + | 8341.66i | −0.799742 | + | 1.38519i | 0.120042 | + | 0.992769i | \(0.461697\pi\) |
−0.919784 | + | 0.392425i | \(0.871636\pi\) | |||||||
\(332\) | −10.0043 | − | 17.3279i | −0.00165378 | − | 0.00286443i | ||||
\(333\) | −7573.60 | − | 1277.23i | −1.24634 | − | 0.210185i | ||||
\(334\) | −7565.49 | − | 4367.94i | −1.23942 | − | 0.715578i | ||||
\(335\) | 2080.25 | 0.339272 | ||||||||
\(336\) | 5271.35 | + | 5575.84i | 0.855880 | + | 0.905318i | ||||
\(337\) | 4977.75 | 0.804615 | 0.402308 | − | 0.915505i | \(-0.368208\pi\) | ||||
0.402308 | + | 0.915505i | \(0.368208\pi\) | |||||||
\(338\) | 6083.36 | + | 3512.23i | 0.978968 | + | 0.565207i | ||||
\(339\) | 420.985 | − | 606.030i | 0.0674477 | − | 0.0970945i | ||||
\(340\) | −698.595 | − | 1210.00i | −0.111431 | − | 0.193005i | ||||
\(341\) | −374.379 | + | 648.444i | −0.0594539 | + | 0.102977i | ||||
\(342\) | 2803.35 | − | 3391.99i | 0.443239 | − | 0.536309i | ||||
\(343\) | −5173.87 | − | 3685.74i | −0.814468 | − | 0.580208i | ||||
\(344\) | 1335.62i | 0.209337i | ||||||||
\(345\) | −2977.02 | − | 249.265i | −0.464572 | − | 0.0388986i | ||||
\(346\) | −2286.27 | + | 1319.98i | −0.355234 | + | 0.205094i | ||||
\(347\) | −5974.28 | + | 3449.25i | −0.924254 | + | 0.533618i | −0.884990 | − | 0.465610i | \(-0.845835\pi\) |
−0.0392645 | + | 0.999229i | \(0.512501\pi\) | |||||||
\(348\) | 2978.32 | + | 249.375i | 0.458779 | + | 0.0384135i | ||||
\(349\) | − | 5143.79i | − | 0.788942i | −0.918908 | − | 0.394471i | \(-0.870928\pi\) | ||
0.918908 | − | 0.394471i | \(-0.129072\pi\) | |||||||
\(350\) | 1556.25 | − | 511.014i | 0.237671 | − | 0.0780424i | ||||
\(351\) | −1976.24 | − | 505.890i | −0.300524 | − | 0.0769300i | ||||
\(352\) | −323.762 | + | 560.772i | −0.0490244 | + | 0.0849127i | ||||
\(353\) | 2903.48 | + | 5028.97i | 0.437781 | + | 0.758258i | 0.997518 | − | 0.0704119i | \(-0.0224314\pi\) |
−0.559737 | + | 0.828670i | \(0.689098\pi\) | |||||||
\(354\) | 5777.82 | − | 8317.47i | 0.867480 | − | 1.24878i | ||||
\(355\) | −1731.69 | − | 999.791i | −0.258897 | − | 0.149474i | ||||
\(356\) | −4567.18 | −0.679944 | ||||||||
\(357\) | 5793.26 | − | 1379.30i | 0.858857 | − | 0.204483i | ||||
\(358\) | 12063.0 | 1.78086 | ||||||||
\(359\) | −6501.82 | − | 3753.83i | −0.955857 | − | 0.551864i | −0.0609616 | − | 0.998140i | \(-0.519417\pi\) |
−0.894896 | + | 0.446276i | \(0.852750\pi\) | |||||||
\(360\) | 276.733 | − | 1640.95i | 0.0405142 | − | 0.240238i | ||||
\(361\) | −2368.31 | − | 4102.03i | −0.345285 | − | 0.598051i | ||||
\(362\) | 5196.25 | − | 9000.16i | 0.754444 | − | 1.30674i | ||||
\(363\) | −6198.59 | + | 2918.66i | −0.896257 | + | 0.422010i | ||||
\(364\) | −906.208 | − | 810.863i | −0.130490 | − | 0.116760i | ||||
\(365\) | 776.498i | 0.111353i | ||||||||
\(366\) | −729.093 | + | 8707.68i | −0.104126 | + | 1.24360i | ||||
\(367\) | 8497.92 | − | 4906.28i | 1.20869 | − | 0.697835i | 0.246214 | − | 0.969215i | \(-0.420813\pi\) |
0.962472 | + | 0.271380i | \(0.0874800\pi\) | |||||||
\(368\) | −7940.03 | + | 4584.18i | −1.12474 | + | 0.649366i | ||||
\(369\) | 3092.83 | + | 8304.13i | 0.436332 | + | 1.17153i | ||||
\(370\) | 5031.81i | 0.707004i | ||||||||
\(371\) | −8205.48 | − | 7342.14i | −1.14827 | − | 1.02745i | ||||
\(372\) | 2120.53 | + | 4503.54i | 0.295549 | + | 0.627682i | ||||
\(373\) | −2300.91 | + | 3985.29i | −0.319401 | + | 0.553219i | −0.980363 | − | 0.197200i | \(-0.936815\pi\) |
0.660962 | + | 0.750419i | \(0.270148\pi\) | |||||||
\(374\) | 386.338 | + | 669.157i | 0.0534146 | + | 0.0925169i | ||||
\(375\) | −533.441 | − | 370.561i | −0.0734581 | − | 0.0510285i | ||||
\(376\) | −4158.36 | − | 2400.83i | −0.570349 | − | 0.329291i | ||||
\(377\) | 1852.11 | 0.253019 | ||||||||
\(378\) | −8249.16 | − | 4055.57i | −1.12246 | − | 0.551842i | ||||
\(379\) | 10325.6 | 1.39945 | 0.699726 | − | 0.714412i | \(-0.253306\pi\) | ||||
0.699726 | + | 0.714412i | \(0.253306\pi\) | |||||||
\(380\) | −900.804 | − | 520.079i | −0.121606 | − | 0.0702092i | ||||
\(381\) | −9777.68 | − | 6792.17i | −1.31477 | − | 0.913316i | ||||
\(382\) | −189.263 | − | 327.813i | −0.0253495 | − | 0.0439067i | ||||
\(383\) | 1615.63 | − | 2798.35i | 0.215548 | − | 0.373339i | −0.737894 | − | 0.674916i | \(-0.764180\pi\) |
0.953442 | + | 0.301577i | \(0.0975130\pi\) | |||||||
\(384\) | −3161.33 | − | 6713.97i | −0.420120 | − | 0.892242i | ||||
\(385\) | −310.518 | + | 101.963i | −0.0411050 | + | 0.0134974i | ||||
\(386\) | 7720.43i | 1.01803i | ||||||||
\(387\) | −1021.06 | − | 2741.51i | −0.134117 | − | 0.360100i | ||||
\(388\) | −107.648 | + | 62.1506i | −0.0140850 | + | 0.00813200i | ||||
\(389\) | −10881.5 | + | 6282.46i | −1.41829 | + | 0.818851i | −0.996149 | − | 0.0876781i | \(-0.972055\pi\) |
−0.422143 | + | 0.906529i | \(0.638722\pi\) | |||||||
\(390\) | −111.511 | + | 1331.80i | −0.0144784 | + | 0.172918i | ||||
\(391\) | 7115.64i | 0.920342i | ||||||||
\(392\) | 2506.45 | + | 3405.07i | 0.322946 | + | 0.438730i | ||||
\(393\) | −2436.54 | + | 1147.27i | −0.312741 | + | 0.147257i | ||||
\(394\) | 362.686 | − | 628.191i | 0.0463753 | − | 0.0803244i | ||||
\(395\) | 2930.08 | + | 5075.04i | 0.373236 | + | 0.646464i | ||||
\(396\) | 71.5586 | − | 424.323i | 0.00908070 | − | 0.0538460i | ||||
\(397\) | 1052.09 | + | 607.424i | 0.133005 | + | 0.0767903i | 0.565026 | − | 0.825073i | \(-0.308866\pi\) |
−0.432021 | + | 0.901863i | \(0.642199\pi\) | |||||||
\(398\) | −9424.76 | −1.18699 | ||||||||
\(399\) | 3221.64 | − | 3045.71i | 0.404220 | − | 0.382146i | ||||
\(400\) | −1993.35 | −0.249169 | ||||||||
\(401\) | −7615.66 | − | 4396.91i | −0.948399 | − | 0.547559i | −0.0558160 | − | 0.998441i | \(-0.517776\pi\) |
−0.892583 | + | 0.450882i | \(0.851109\pi\) | |||||||
\(402\) | −4363.37 | + | 6281.29i | −0.541355 | + | 0.779309i | ||||
\(403\) | 1542.36 | + | 2671.44i | 0.190646 | + | 0.330208i | ||||
\(404\) | −4304.25 | + | 7455.19i | −0.530061 | + | 0.918093i | ||||
\(405\) | 686.454 | + | 3579.78i | 0.0842226 | + | 0.439211i | ||||
\(406\) | 8168.68 | + | 1709.76i | 0.998534 | + | 0.209000i | ||||
\(407\) | − | 1004.00i | − | 0.122276i | ||||||
\(408\) | −3949.87 | − | 330.722i | −0.479284 | − | 0.0401303i | ||||
\(409\) | 4831.45 | − | 2789.44i | 0.584107 | − | 0.337234i | −0.178657 | − | 0.983911i | \(-0.557175\pi\) |
0.762764 | + | 0.646677i | \(0.223842\pi\) | |||||||
\(410\) | 5027.65 | − | 2902.71i | 0.605604 | − | 0.349646i | ||||
\(411\) | 6055.53 | + | 507.028i | 0.726757 | + | 0.0608512i | ||||
\(412\) | 7871.00i | 0.941205i | ||||||||
\(413\) | 6803.63 | − | 7603.64i | 0.810617 | − | 0.905934i | ||||
\(414\) | 6997.01 | − | 8466.23i | 0.830639 | − | 1.00505i | ||||
\(415\) | −11.0774 | + | 19.1866i | −0.00131028 | + | 0.00226948i | ||||
\(416\) | 1333.82 | + | 2310.25i | 0.157202 | + | 0.272282i | ||||
\(417\) | 7706.87 | − | 11094.4i | 0.905053 | − | 1.30287i | ||||
\(418\) | 498.164 | + | 287.615i | 0.0582919 | + | 0.0336548i | ||||
\(419\) | −5449.56 | −0.635390 | −0.317695 | − | 0.948193i | \(-0.602909\pi\) | ||||
−0.317695 | + | 0.948193i | \(0.602909\pi\) | |||||||
\(420\) | −621.028 | + | 2082.14i | −0.0721502 | + | 0.241901i | ||||
\(421\) | 2759.33 | 0.319433 | 0.159717 | − | 0.987163i | \(-0.448942\pi\) | ||||
0.159717 | + | 0.987163i | \(0.448942\pi\) | |||||||
\(422\) | 11901.3 | + | 6871.23i | 1.37286 | + | 0.792621i | ||||
\(423\) | 10370.9 | + | 1748.96i | 1.19208 | + | 0.201034i | ||||
\(424\) | 3664.30 | + | 6346.76i | 0.419703 | + | 0.726948i | ||||
\(425\) | −773.530 | + | 1339.79i | −0.0882864 | + | 0.152916i | ||||
\(426\) | 6651.10 | − | 3131.73i | 0.756449 | − | 0.356180i | ||||
\(427\) | −1803.56 | + | 8616.84i | −0.204404 | + | 0.976576i | ||||
\(428\) | 8105.86i | 0.915447i | ||||||||
\(429\) | 22.2498 | − | 265.733i | 0.00250403 | − | 0.0299061i | ||||
\(430\) | −1659.82 | + | 958.295i | −0.186147 | + | 0.107472i | ||||
\(431\) | 3948.36 | − | 2279.59i | 0.441267 | − | 0.254766i | −0.262868 | − | 0.964832i | \(-0.584668\pi\) |
0.704135 | + | 0.710066i | \(0.251335\pi\) | |||||||
\(432\) | 7998.02 | + | 7820.93i | 0.890752 | + | 0.871029i | ||||
\(433\) | 7442.63i | 0.826027i | 0.910725 | + | 0.413014i | \(0.135524\pi\) | ||||
−0.910725 | + | 0.413014i | \(0.864476\pi\) | |||||||
\(434\) | 4336.41 | + | 13206.1i | 0.479618 | + | 1.46063i | ||||
\(435\) | −1409.77 | − | 2994.04i | −0.155387 | − | 0.330007i | ||||
\(436\) | 1728.04 | − | 2993.05i | 0.189812 | − | 0.328764i | ||||
\(437\) | 2648.67 | + | 4587.64i | 0.289939 | + | 0.502189i | ||||
\(438\) | −2344.63 | − | 1628.72i | −0.255778 | − | 0.177679i | ||||
\(439\) | −5233.12 | − | 3021.35i | −0.568937 | − | 0.328476i | 0.187788 | − | 0.982210i | \(-0.439868\pi\) |
−0.756725 | + | 0.653734i | \(0.773202\pi\) | |||||||
\(440\) | 217.533 | 0.0235693 | ||||||||
\(441\) | −7747.87 | − | 5073.13i | −0.836613 | − | 0.547795i | ||||
\(442\) | 3183.24 | 0.342560 | ||||||||
\(443\) | −3456.00 | − | 1995.32i | −0.370653 | − | 0.213997i | 0.303091 | − | 0.952962i | \(-0.401982\pi\) |
−0.673744 | + | 0.738965i | \(0.735315\pi\) | |||||||
\(444\) | −5481.79 | − | 3807.99i | −0.585933 | − | 0.407025i | ||||
\(445\) | 2528.54 | + | 4379.56i | 0.269358 | + | 0.466542i | ||||
\(446\) | 997.254 | − | 1727.29i | 0.105877 | − | 0.183385i | ||||
\(447\) | −1112.99 | − | 2363.74i | −0.117768 | − | 0.250114i | ||||
\(448\) | 64.5774 | + | 196.665i | 0.00681026 | + | 0.0207400i | ||||
\(449\) | − | 897.052i | − | 0.0942862i | −0.998888 | − | 0.0471431i | \(-0.984988\pi\) | ||
0.998888 | − | 0.0471431i | \(-0.0150117\pi\) | |||||||
\(450\) | 2237.81 | − | 833.460i | 0.234425 | − | 0.0873104i | ||||
\(451\) | −1003.17 | + | 579.178i | −0.104739 | + | 0.0604710i | ||||
\(452\) | 555.349 | − | 320.631i | 0.0577908 | − | 0.0333655i | ||||
\(453\) | 1019.19 | − | 12172.3i | 0.105708 | − | 1.26249i | ||||
\(454\) | − | 3098.84i | − | 0.320343i | ||||||
\(455\) | −275.846 | + | 1317.90i | −0.0284216 | + | 0.135789i | ||||
\(456\) | −2669.69 | + | 1257.05i | −0.274166 | + | 0.129093i | ||||
\(457\) | 1123.05 | − | 1945.18i | 0.114954 | − | 0.199106i | −0.802807 | − | 0.596239i | \(-0.796661\pi\) |
0.917761 | + | 0.397132i | \(0.129995\pi\) | |||||||
\(458\) | 9023.73 | + | 15629.6i | 0.920636 | + | 1.59459i | ||||
\(459\) | 8360.35 | − | 2340.76i | 0.850170 | − | 0.238034i | ||||
\(460\) | −2248.36 | − | 1298.09i | −0.227892 | − | 0.131574i | ||||
\(461\) | −6503.45 | −0.657041 | −0.328520 | − | 0.944497i | \(-0.606550\pi\) | ||||
−0.328520 | + | 0.944497i | \(0.606550\pi\) | |||||||
\(462\) | 343.442 | − | 1151.47i | 0.0345852 | − | 0.115955i | ||||
\(463\) | −12869.8 | −1.29181 | −0.645906 | − | 0.763417i | \(-0.723520\pi\) | ||||
−0.645906 | + | 0.763417i | \(0.723520\pi\) | |||||||
\(464\) | −8795.57 | − | 5078.13i | −0.880009 | − | 0.508073i | ||||
\(465\) | 3144.54 | − | 4526.73i | 0.313601 | − | 0.451445i | ||||
\(466\) | 10287.2 | + | 17817.9i | 1.02263 | + | 1.77124i | ||||
\(467\) | −14.4148 | + | 24.9672i | −0.00142835 | + | 0.00247397i | −0.866739 | − | 0.498763i | \(-0.833788\pi\) |
0.865310 | + | 0.501236i | \(0.167121\pi\) | |||||||
\(468\) | −1366.51 | − | 1129.36i | −0.134972 | − | 0.111549i | ||||
\(469\) | −5138.05 | + | 5742.21i | −0.505870 | + | 0.565353i | ||||
\(470\) | − | 6890.28i | − | 0.676224i | ||||||
\(471\) | 14763.1 | + | 1236.11i | 1.44426 | + | 0.120928i | ||||
\(472\) | −5881.25 | + | 3395.54i | −0.573531 | + | 0.331128i | ||||
\(473\) | 331.183 | − | 191.208i | 0.0321941 | − | 0.0185873i | ||||
\(474\) | −21469.9 | − | 1797.67i | −2.08048 | − | 0.174198i | ||||
\(475\) | 1151.73i | 0.111253i | ||||||||
\(476\) | 5065.49 | + | 1060.24i | 0.487766 | + | 0.102093i | ||||
\(477\) | −12373.3 | − | 10226.1i | −1.18771 | − | 0.981594i | ||||
\(478\) | 6698.36 | − | 11601.9i | 0.640954 | − | 1.11016i | ||||
\(479\) | −4994.02 | − | 8649.90i | −0.476373 | − | 0.825102i | 0.523260 | − | 0.852173i | \(-0.324715\pi\) |
−0.999634 | + | 0.0270705i | \(0.991382\pi\) | |||||||
\(480\) | 2719.39 | − | 3914.70i | 0.258589 | − | 0.372252i | ||||
\(481\) | −3582.08 | − | 2068.11i | −0.339561 | − | 0.196046i | ||||
\(482\) | 9184.05 | 0.867888 | ||||||||
\(483\) | 8041.06 | − | 7601.94i | 0.757517 | − | 0.716150i | ||||
\(484\) | −5954.05 | −0.559171 | ||||||||
\(485\) | 119.195 | + | 68.8172i | 0.0111595 | + | 0.00644294i | ||||
\(486\) | −12248.9 | − | 5435.91i | −1.14326 | − | 0.507362i | ||||
\(487\) | 2079.06 | + | 3601.04i | 0.193452 | + | 0.335069i | 0.946392 | − | 0.323020i | \(-0.104698\pi\) |
−0.752940 | + | 0.658089i | \(0.771365\pi\) | |||||||
\(488\) | 2929.76 | − | 5074.50i | 0.271771 | − | 0.470721i | ||||
\(489\) | −10526.9 | + | 4956.69i | −0.973504 | + | 0.458383i | ||||
\(490\) | −2433.23 | + | 5557.94i | −0.224331 | + | 0.512412i | ||||
\(491\) | 4981.52i | 0.457867i | 0.973442 | + | 0.228934i | \(0.0735238\pi\) | ||||
−0.973442 | + | 0.228934i | \(0.926476\pi\) | |||||||
\(492\) | −642.541 | + | 7673.98i | −0.0588780 | + | 0.703191i | ||||
\(493\) | −6826.32 | + | 3941.18i | −0.623615 | + | 0.360044i | ||||
\(494\) | 2052.32 | − | 1184.91i | 0.186920 | − | 0.107918i | ||||
\(495\) | −446.509 | + | 166.300i | −0.0405436 | + | 0.0151003i | ||||
\(496\) | − | 16915.4i | − | 1.53130i | ||||||
\(497\) | 7036.90 | − | 2310.66i | 0.635107 | − | 0.208546i | ||||
\(498\) | −34.6986 | − | 73.6923i | −0.00312225 | − | 0.00663098i | ||||
\(499\) | 4098.39 | − | 7098.62i | 0.367674 | − | 0.636830i | −0.621528 | − | 0.783392i | \(-0.713488\pi\) |
0.989201 | + | 0.146563i | \(0.0468210\pi\) | |||||||
\(500\) | −282.227 | − | 488.831i | −0.0252431 | − | 0.0437224i | ||||
\(501\) | −10538.0 | − | 7320.32i | −0.939724 | − | 0.652790i | ||||
\(502\) | −13412.0 | − | 7743.41i | −1.19244 | − | 0.688457i | ||||
\(503\) | −2582.86 | −0.228954 | −0.114477 | − | 0.993426i | \(-0.536519\pi\) | ||||
−0.114477 | + | 0.993426i | \(0.536519\pi\) | |||||||
\(504\) | 3846.08 | + | 4816.89i | 0.339917 | + | 0.425717i | ||||
\(505\) | 9531.91 | 0.839929 | ||||||||
\(506\) | 1243.39 | + | 717.873i | 0.109240 | + | 0.0630699i | ||||
\(507\) | 8473.51 | + | 5886.22i | 0.742252 | + | 0.515613i | ||||
\(508\) | −5173.06 | − | 8960.00i | −0.451806 | − | 0.782550i | ||||
\(509\) | −10831.6 | + | 18760.8i | −0.943224 | + | 1.63371i | −0.183955 | + | 0.982935i | \(0.558890\pi\) |
−0.759269 | + | 0.650777i | \(0.774443\pi\) | |||||||
\(510\) | −2422.99 | − | 5145.90i | −0.210376 | − | 0.446793i | ||||
\(511\) | −2143.40 | − | 1917.89i | −0.185555 | − | 0.166032i | ||||
\(512\) | − | 6765.43i | − | 0.583970i | ||||||
\(513\) | 4518.83 | − | 4621.15i | 0.388910 | − | 0.397717i | ||||
\(514\) | −1735.59 | + | 1002.04i | −0.148937 | + | 0.0859886i | ||||
\(515\) | 7547.67 | − | 4357.65i | 0.645806 | − | 0.372856i | ||||
\(516\) | 212.127 | − | 2533.47i | 0.0180976 | − | 0.216143i | ||||
\(517\) | 1374.82i | 0.116952i | ||||||||
\(518\) | −13889.5 | − | 12428.2i | −1.17813 | − | 1.05417i | ||||
\(519\) | −3508.08 | + | 1651.81i | −0.296701 | + | 0.139704i | ||||
\(520\) | 448.092 | − | 776.119i | 0.0377888 | − | 0.0654520i | ||||
\(521\) | 9770.62 | + | 16923.2i | 0.821610 | + | 1.42307i | 0.904483 | + | 0.426510i | \(0.140257\pi\) |
−0.0828730 | + | 0.996560i | \(0.526410\pi\) | |||||||
\(522\) | 11997.5 | + | 2023.28i | 1.00597 | + | 0.169648i | ||||
\(523\) | 13158.2 | + | 7596.91i | 1.10013 | + | 0.635162i | 0.936256 | − | 0.351319i | \(-0.114267\pi\) |
0.163877 | + | 0.986481i | \(0.447600\pi\) | |||||||
\(524\) | −2340.42 | −0.195118 | ||||||||
\(525\) | 2340.43 | − | 557.227i | 0.194562 | − | 0.0463226i | ||||
\(526\) | −4296.23 | −0.356130 | ||||||||
\(527\) | −11369.3 | − | 6564.09i | −0.939766 | − | 0.542574i | ||||
\(528\) | −834.253 | + | 1200.95i | −0.0687618 | + | 0.0989861i | ||||
\(529\) | 527.456 | + | 913.580i | 0.0433513 | + | 0.0750867i | ||||
\(530\) | −5258.20 | + | 9107.46i | −0.430946 | + | 0.746421i | ||||
\(531\) | 9476.05 | − | 11465.8i | 0.774436 | − | 0.937051i | ||||
\(532\) | 3660.51 | − | 1201.98i | 0.298314 | − | 0.0979554i | ||||
\(533\) | 4772.15i | 0.387814i | ||||||||
\(534\) | −18527.7 | − | 1551.32i | −1.50145 | − | 0.125716i | ||||
\(535\) | 7772.87 | − | 4487.67i | 0.628132 | − | 0.362652i | ||||
\(536\) | 4441.48 | − | 2564.29i | 0.357915 | − | 0.206642i | ||||
\(537\) | 17656.1 | + | 1478.34i | 1.41884 | + | 0.118799i | ||||
\(538\) | − | 3212.99i | − | 0.257475i | ||||||
\(539\) | 485.501 | − | 1108.97i | 0.0387978 | − | 0.0886214i | ||||
\(540\) | −785.539 | + | 3068.68i | −0.0626004 | + | 0.244546i | ||||
\(541\) | 7087.52 | − | 12276.0i | 0.563247 | − | 0.975572i | −0.433964 | − | 0.900930i | \(-0.642885\pi\) |
0.997210 | − | 0.0746416i | \(-0.0237813\pi\) | |||||||
\(542\) | −7677.50 | − | 13297.8i | −0.608444 | − | 1.05386i | ||||
\(543\) | 8708.49 | − | 12536.3i | 0.688245 | − | 0.990764i | ||||
\(544\) | −9832.17 | − | 5676.61i | −0.774910 | − | 0.447394i | ||||
\(545\) | −3826.80 | −0.300775 | ||||||||
\(546\) | −3400.79 | − | 3597.24i | −0.266558 | − | 0.281955i | ||||
\(547\) | −3915.65 | −0.306072 | −0.153036 | − | 0.988221i | \(-0.548905\pi\) | ||||
−0.153036 | + | 0.988221i | \(0.548905\pi\) | |||||||
\(548\) | 4573.37 | + | 2640.43i | 0.356505 | + | 0.205828i | ||||
\(549\) | −2134.28 | + | 12655.7i | −0.165918 | + | 0.983846i | ||||
\(550\) | 156.078 | + | 270.334i | 0.0121003 | + | 0.0209584i | ||||
\(551\) | −2934.07 | + | 5081.96i | −0.226852 | + | 0.392920i | ||||
\(552\) | −6663.41 | + | 3137.52i | −0.513792 | + | 0.241923i | ||||
\(553\) | −21245.9 | − | 4446.92i | −1.63376 | − | 0.341957i | ||||
\(554\) | − | 22599.5i | − | 1.73314i | ||||||
\(555\) | −616.656 | + | 7364.83i | −0.0471632 | + | 0.563279i | ||||
\(556\) | 10166.6 | − | 5869.71i | 0.775470 | − | 0.447718i | ||||
\(557\) | −9426.69 | + | 5442.50i | −0.717094 | + | 0.414015i | −0.813682 | − | 0.581310i | \(-0.802540\pi\) |
0.0965880 | + | 0.995324i | \(0.469207\pi\) | |||||||
\(558\) | 7072.65 | + | 18989.8i | 0.536576 | + | 1.44068i | ||||
\(559\) | − | 1575.47i | − | 0.119204i | ||||||
\(560\) | 4923.42 | − | 5502.34i | 0.371522 | − | 0.415208i | ||||
\(561\) | 483.459 | + | 1026.76i | 0.0363844 | + | 0.0772725i | ||||
\(562\) | 5917.61 | − | 10249.6i | 0.444162 | − | 0.769311i | ||||
\(563\) | 1235.82 | + | 2140.51i | 0.0925111 | + | 0.160234i | 0.908567 | − | 0.417739i | \(-0.137177\pi\) |
−0.816056 | + | 0.577973i | \(0.803844\pi\) | |||||||
\(564\) | 7506.47 | + | 5214.45i | 0.560424 | + | 0.389305i | ||||
\(565\) | −614.919 | − | 355.024i | −0.0457873 | − | 0.0264353i | ||||
\(566\) | 3878.00 | 0.287994 | ||||||||
\(567\) | −11576.9 | − | 6946.91i | −0.857468 | − | 0.514537i | ||||
\(568\) | −4929.70 | −0.364165 | ||||||||
\(569\) | −5773.89 | − | 3333.56i | −0.425403 | − | 0.245606i | 0.271984 | − | 0.962302i | \(-0.412320\pi\) |
−0.697386 | + | 0.716696i | \(0.745654\pi\) | |||||||
\(570\) | −3477.64 | − | 2415.78i | −0.255548 | − | 0.177519i | ||||
\(571\) | 1897.30 | + | 3286.22i | 0.139053 | + | 0.240848i | 0.927139 | − | 0.374719i | \(-0.122261\pi\) |
−0.788085 | + | 0.615566i | \(0.788927\pi\) | |||||||
\(572\) | 115.869 | − | 200.692i | 0.00846983 | − | 0.0146702i | ||||
\(573\) | −236.841 | − | 502.999i | −0.0172673 | − | 0.0366720i | ||||
\(574\) | −4405.39 | + | 21047.5i | −0.320344 | + | 1.53050i | ||||
\(575\) | 2874.66i | 0.208490i | ||||||||
\(576\) | 105.325 | + | 282.794i | 0.00761902 | + | 0.0204568i | ||||
\(577\) | −20022.1 | + | 11559.8i | −1.44459 | + | 0.834037i | −0.998151 | − | 0.0607751i | \(-0.980643\pi\) |
−0.446443 | + | 0.894812i | \(0.647309\pi\) | |||||||
\(578\) | 3319.81 | − | 1916.70i | 0.238903 | − | 0.137931i | ||||
\(579\) | −946.150 | + | 11300.0i | −0.0679113 | + | 0.811077i | ||||
\(580\) | − | 2875.92i | − | 0.205890i | ||||||
\(581\) | −25.6014 | − | 77.9667i | −0.00182810 | − | 0.00556731i | ||||
\(582\) | −457.806 | + | 215.562i | −0.0326060 | + | 0.0153528i | ||||
\(583\) | 1049.17 | − | 1817.21i | 0.0745318 | − | 0.129093i | ||||
\(584\) | 957.175 | + | 1657.88i | 0.0678223 | + | 0.117472i | ||||
\(585\) | −326.427 | + | 1935.62i | −0.0230703 | + | 0.136800i | ||||
\(586\) | 13328.3 | + | 7695.08i | 0.939567 | + | 0.542459i | ||||
\(587\) | 16772.1 | 1.17932 | 0.589659 | − | 0.807653i | \(-0.299262\pi\) | ||||
0.589659 | + | 0.807653i | \(0.299262\pi\) | |||||||
\(588\) | −4213.55 | − | 6856.98i | −0.295517 | − | 0.480913i | ||||
\(589\) | −9773.48 | −0.683717 | ||||||||
\(590\) | −8439.47 | − | 4872.53i | −0.588894 | − | 0.339998i | ||||
\(591\) | 607.833 | − | 875.007i | 0.0423061 | − | 0.0609018i | ||||
\(592\) | 11340.8 | + | 19642.8i | 0.787335 | + | 1.36370i | ||||
\(593\) | 2564.12 | − | 4441.19i | 0.177565 | − | 0.307551i | −0.763481 | − | 0.645830i | \(-0.776511\pi\) |
0.941046 | + | 0.338279i | \(0.109845\pi\) | |||||||
\(594\) | 434.421 | − | 1697.05i | 0.0300076 | − | 0.117223i | ||||
\(595\) | −1787.74 | − | 5444.39i | −0.123177 | − | 0.375123i | ||||
\(596\) | − | 2270.49i | − | 0.156045i | ||||||
\(597\) | −13794.6 | − | 1155.02i | −0.945687 | − | 0.0791822i | ||||
\(598\) | 5122.49 | − | 2957.47i | 0.350291 | − | 0.202241i | ||||
\(599\) | 18075.2 | − | 10435.7i | 1.23294 | − | 0.711839i | 0.265300 | − | 0.964166i | \(-0.414529\pi\) |
0.967642 | + | 0.252327i | \(0.0811957\pi\) | |||||||
\(600\) | −1595.72 | − | 133.609i | −0.108575 | − | 0.00909095i | ||||
\(601\) | − | 5784.11i | − | 0.392577i | −0.980546 | − | 0.196288i | \(-0.937111\pi\) | ||
0.980546 | − | 0.196288i | \(-0.0628889\pi\) | |||||||
\(602\) | 1454.38 | − | 6948.57i | 0.0984655 | − | 0.470436i | ||||
\(603\) | −7156.24 | + | 8658.90i | −0.483291 | + | 0.584772i | ||||
\(604\) | 5307.59 | − | 9193.01i | 0.357554 | − | 0.619302i | ||||
\(605\) | 3296.36 | + | 5709.46i | 0.221514 | + | 0.383674i | ||||
\(606\) | −19993.4 | + | 28781.5i | −1.34022 | + | 1.92932i | ||||
\(607\) | −16931.6 | − | 9775.46i | −1.13218 | − | 0.653664i | −0.187697 | − | 0.982227i | \(-0.560102\pi\) |
−0.944482 | + | 0.328563i | \(0.893436\pi\) | |||||||
\(608\) | −8452.07 | −0.563778 | ||||||||
\(609\) | 11746.6 | + | 3503.58i | 0.781602 | + | 0.233124i | ||||
\(610\) | 8408.29 | 0.558101 | ||||||||
\(611\) | 4905.10 | + | 2831.96i | 0.324778 | + | 0.187511i | ||||
\(612\) | 7439.77 | + | 1254.66i | 0.491397 | + | 0.0828701i | ||||
\(613\) | −1564.33 | − | 2709.50i | −0.103071 | − | 0.178525i | 0.809877 | − | 0.586599i | \(-0.199534\pi\) |
−0.912949 | + | 0.408075i | \(0.866200\pi\) | |||||||
\(614\) | −10172.5 | + | 17619.3i | −0.668615 | + | 1.15808i | ||||
\(615\) | 7714.47 | − | 3632.42i | 0.505817 | − | 0.238168i | ||||
\(616\) | −537.289 | + | 600.466i | −0.0351428 | + | 0.0392751i | ||||
\(617\) | 19251.3i | 1.25613i | 0.778163 | + | 0.628063i | \(0.216152\pi\) | ||||
−0.778163 | + | 0.628063i | \(0.783848\pi\) | |||||||
\(618\) | −2673.52 | + | 31930.3i | −0.174021 | + | 2.07836i | ||||
\(619\) | 22828.6 | − | 13180.1i | 1.48232 | − | 0.855820i | 0.482525 | − | 0.875882i | \(-0.339720\pi\) |
0.999799 | + | 0.0200617i | \(0.00638628\pi\) | |||||||
\(620\) | 4148.17 | − | 2394.95i | 0.268701 | − | 0.155134i | ||||
\(621\) | 11278.8 | − | 11534.1i | 0.728826 | − | 0.745329i | ||||
\(622\) | − | 19463.7i | − | 1.25470i | ||||||
\(623\) | −18334.4 | − | 3837.51i | −1.17906 | − | 0.246785i | ||||
\(624\) | 2566.31 | + | 5450.28i | 0.164639 | + | 0.349657i | ||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 1274.21 | + | 2206.99i | 0.0813538 | + | 0.140909i | ||||
\(627\) | 693.893 | + | 482.020i | 0.0441968 | + | 0.0307018i | ||||
\(628\) | 11149.7 | + | 6437.26i | 0.708472 | + | 0.409036i | ||||
\(629\) | 17603.3 | 1.11588 | ||||||||
\(630\) | −3226.56 | + | 8235.70i | −0.204046 | + | 0.520822i | ||||
\(631\) | 18010.0 | 1.13624 | 0.568118 | − | 0.822947i | \(-0.307672\pi\) | ||||
0.568118 | + | 0.822947i | \(0.307672\pi\) | |||||||
\(632\) | 12511.8 | + | 7223.71i | 0.787490 | + | 0.454658i | ||||
\(633\) | 16577.3 | + | 11515.6i | 1.04090 | + | 0.723073i | ||||
\(634\) | 217.904 | + | 377.422i | 0.0136500 | + | 0.0236425i | ||||
\(635\) | −5727.95 | + | 9921.10i | −0.357963 | + | 0.620011i | ||||
\(636\) | −5942.61 | − | 12620.8i | −0.370503 | − | 0.786867i | ||||
\(637\) | −2956.55 | − | 4016.54i | −0.183897 | − | 0.249829i | ||||
\(638\) | 1590.45i | 0.0986935i | ||||||||
\(639\) | 10118.7 | − | 3768.67i | 0.626432 | − | 0.233312i | ||||
\(640\) | −6184.18 | + | 3570.44i | −0.381955 | + | 0.220522i | ||||
\(641\) | 14086.0 | − | 8132.54i | 0.867961 | − | 0.501117i | 0.00129064 | − | 0.999999i | \(-0.499589\pi\) |
0.866670 | + | 0.498882i | \(0.166256\pi\) | |||||||
\(642\) | −2753.29 | + | 32883.0i | −0.169258 | + | 2.02148i | ||||
\(643\) | 3133.59i | 0.192188i | 0.995372 | + | 0.0960939i | \(0.0306349\pi\) | ||||
−0.995372 | + | 0.0960939i | \(0.969365\pi\) | |||||||
\(644\) | 9136.44 | − | 3000.07i | 0.559047 | − | 0.183570i | ||||
\(645\) | −2546.84 | + | 1199.20i | −0.155475 | + | 0.0732069i | ||||
\(646\) | −5042.84 | + | 8734.45i | −0.307133 | + | 0.531970i | ||||
\(647\) | 150.407 | + | 260.513i | 0.00913928 | + | 0.0158297i | 0.870559 | − | 0.492064i | \(-0.163758\pi\) |
−0.861420 | + | 0.507894i | \(0.830424\pi\) | |||||||
\(648\) | 5878.35 | + | 6796.89i | 0.356363 | + | 0.412048i | ||||
\(649\) | 1683.93 | + | 972.215i | 0.101849 | + | 0.0588025i | ||||
\(650\) | 1286.01 | 0.0776020 | ||||||||
\(651\) | 4728.57 | + | 19860.7i | 0.284681 | + | 1.19570i | ||||
\(652\) | −10111.6 | −0.607365 | ||||||||
\(653\) | −4968.97 | − | 2868.83i | −0.297780 | − | 0.171924i | 0.343665 | − | 0.939092i | \(-0.388332\pi\) |
−0.641445 | + | 0.767169i | \(0.721665\pi\) | |||||||
\(654\) | 8026.79 | − | 11555.0i | 0.479927 | − | 0.690879i | ||||
\(655\) | 1295.73 | + | 2244.27i | 0.0772954 | + | 0.133879i | ||||
\(656\) | 13084.3 | − | 22662.8i | 0.778747 | − | 1.34883i | ||||
\(657\) | −3232.12 | − | 2671.22i | −0.191928 | − | 0.158621i | ||||
\(658\) | 19019.6 | + | 17018.4i | 1.12684 | + | 1.00828i | ||||
\(659\) | − | 12643.0i | − | 0.747346i | −0.927561 | − | 0.373673i | \(-0.878098\pi\) | ||
0.927561 | − | 0.373673i | \(-0.121902\pi\) | |||||||
\(660\) | −412.627 | − | 34.5491i | −0.0243356 | − | 0.00203761i | ||||
\(661\) | −13547.8 | + | 7821.85i | −0.797201 | + | 0.460264i | −0.842491 | − | 0.538710i | \(-0.818912\pi\) |
0.0452905 | + | 0.998974i | \(0.485579\pi\) | |||||||
\(662\) | −29510.7 | + | 17038.0i | −1.73257 | + | 1.00030i | ||||
\(663\) | 4659.17 | + | 390.111i | 0.272922 | + | 0.0228517i | ||||
\(664\) | 54.6196i | 0.00319224i | ||||||||
\(665\) | −3179.18 | − | 2844.68i | −0.185388 | − | 0.165883i | ||||
\(666\) | −20944.6 | − | 17309.9i | −1.21860 | − | 1.00712i | ||||
\(667\) | −7323.29 | + | 12684.3i | −0.425126 | + | 0.736340i | ||||
\(668\) | −5575.30 | − | 9656.71i | −0.322927 | − | 0.559325i | ||||
\(669\) | 1671.32 | − | 2405.95i | 0.0965872 | − | 0.139042i | ||||
\(670\) | 6373.42 | + | 3679.70i | 0.367503 | + | 0.212178i | ||||
\(671\) | −1677.71 | −0.0965233 | ||||||||
\(672\) | 4089.25 | + | 17175.4i | 0.234742 | + | 0.985948i | ||||
\(673\) | −11596.1 | −0.664188 | −0.332094 | − | 0.943246i | \(-0.607755\pi\) | ||||
−0.332094 | + | 0.943246i | \(0.607755\pi\) | |||||||
\(674\) | 15250.7 | + | 8805.00i | 0.871566 | + | 0.503199i | ||||
\(675\) | 3377.52 | − | 945.651i | 0.192594 | − | 0.0539231i | ||||
\(676\) | 4483.06 | + | 7764.89i | 0.255067 | + | 0.441789i | ||||
\(677\) | 16444.2 | − | 28482.1i | 0.933532 | − | 1.61692i | 0.156300 | − | 0.987710i | \(-0.450043\pi\) |
0.777231 | − | 0.629215i | \(-0.216623\pi\) | |||||||
\(678\) | 2361.79 | − | 1112.07i | 0.133782 | − | 0.0629924i | ||||
\(679\) | −484.361 | + | 159.046i | −0.0273756 | + | 0.00898915i | ||||
\(680\) | 3814.06i | 0.215092i | ||||||||
\(681\) | 379.768 | − | 4535.63i | 0.0213697 | − | 0.255222i | ||||
\(682\) | −2294.03 | + | 1324.46i | −0.128802 | + | 0.0743638i | ||||
\(683\) | −17140.8 | + | 9896.23i | −0.960283 | + | 0.554420i | −0.896260 | − | 0.443529i | \(-0.853726\pi\) |
−0.0640229 | + | 0.997948i | \(0.520393\pi\) | |||||||
\(684\) | 5263.63 | − | 1960.41i | 0.294240 | − | 0.109588i | ||||
\(685\) | − | 5847.32i | − | 0.326153i | ||||||
\(686\) | −9331.96 | − | 20444.2i | −0.519382 | − | 1.13785i | ||||
\(687\) | 11292.2 | + | 23982.1i | 0.627109 | + | 1.33184i | ||||
\(688\) | −4319.64 | + | 7481.83i | −0.239367 | + | 0.414596i | ||||
\(689\) | −4322.32 | − | 7486.48i | −0.238995 | − | 0.413951i | ||||
\(690\) | −8680.01 | − | 6029.66i | −0.478902 | − | 0.332674i | ||||
\(691\) | 19063.9 | + | 11006.5i | 1.04953 | + | 0.605945i | 0.922517 | − | 0.385956i | \(-0.126128\pi\) |
0.127010 | + | 0.991901i | \(0.459462\pi\) | |||||||
\(692\) | −3369.69 | −0.185110 | ||||||||
\(693\) | 643.795 | − | 1643.27i | 0.0352897 | − | 0.0900758i | ||||
\(694\) | −24405.1 | −1.33488 | ||||||||
\(695\) | −11257.2 | − | 6499.33i | −0.614401 | − | 0.354725i | ||||
\(696\) | −6700.65 | − | 4654.68i | −0.364924 | − | 0.253499i | ||||
\(697\) | −10154.9 | − | 17588.8i | −0.551856 | − | 0.955843i | ||||
\(698\) | 9098.70 | − | 15759.4i | 0.493397 | − | 0.854588i | ||||
\(699\) | 12873.3 | + | 27340.0i | 0.696583 | + | 1.47939i | ||||
\(700\) | 2046.42 | + | 428.329i | 0.110496 | + | 0.0231276i | ||||
\(701\) | − | 10015.2i | − | 0.539612i | −0.962915 | − | 0.269806i | \(-0.913040\pi\) | ||
0.962915 | − | 0.269806i | \(-0.0869596\pi\) | |||||||
\(702\) | −5159.90 | − | 5045.65i | −0.277419 | − | 0.271276i | ||||
\(703\) | 11349.3 | − | 6552.54i | 0.608888 | − | 0.351541i | ||||
\(704\) | −34.1625 | + | 19.7237i | −0.00182890 | + | 0.00105592i | ||||
\(705\) | 844.415 | − | 10085.0i | 0.0451099 | − | 0.538756i | ||||
\(706\) | 20543.5i | 1.09514i | ||||||||
\(707\) | −23543.0 | + | 26311.4i | −1.25237 | + | 1.39963i | ||||
\(708\) | 11695.1 | − | 5506.75i | 0.620804 | − | 0.292311i | ||||
\(709\) | 8975.91 | − | 15546.7i | 0.475455 | − | 0.823511i | −0.524150 | − | 0.851626i | \(-0.675617\pi\) |
0.999605 | + | 0.0281144i | \(0.00895028\pi\) | |||||||
\(710\) | −3537.00 | − | 6126.27i | −0.186960 | − | 0.323824i | ||||
\(711\) | −31204.2 | − | 5262.34i | −1.64592 | − | 0.277571i | ||||
\(712\) | 10797.2 | + | 6233.78i | 0.568319 | + | 0.328119i | ||||
\(713\) | −24394.1 | −1.28130 | ||||||||
\(714\) | 20189.1 | + | 6021.66i | 1.05820 | + | 0.315623i | ||||
\(715\) | −256.597 | −0.0134212 | ||||||||
\(716\) | 13334.5 | + | 7698.69i | 0.695998 | + | 0.401835i | ||||
\(717\) | 11225.9 | − | 16160.3i | 0.584714 | − | 0.841725i | ||||
\(718\) | −13280.1 | − | 23001.8i | −0.690262 | − | 1.19557i | ||||
\(719\) | 8242.13 | − | 14275.8i | 0.427510 | − | 0.740468i | −0.569142 | − | 0.822240i | \(-0.692724\pi\) |
0.996651 | + | 0.0817712i | \(0.0260577\pi\) | |||||||
\(720\) | 6857.30 | − | 8297.19i | 0.354940 | − | 0.429470i | ||||
\(721\) | −6613.51 | + | 31597.2i | −0.341609 | + | 1.63210i | ||||
\(722\) | − | 16756.9i | − | 0.863752i | ||||||
\(723\) | 13442.3 | + | 1125.52i | 0.691457 | + | 0.0578956i | ||||
\(724\) | 11487.9 | − | 6632.57i | 0.589704 | − | 0.340466i | ||||
\(725\) | −2757.78 | + | 1592.21i | −0.141271 | + | 0.0815628i | ||||
\(726\) | −24153.8 | − | 2022.39i | −1.23475 | − | 0.103386i | ||||
\(727\) | − | 36315.4i | − | 1.85263i | −0.376744 | − | 0.926317i | \(-0.622956\pi\) | ||
0.376744 | − | 0.926317i | \(-0.377044\pi\) | |||||||
\(728\) | 1035.60 | + | 3153.84i | 0.0527226 | + | 0.160562i | ||||
\(729\) | −17262.0 | − | 9457.42i | −0.877002 | − | 0.480487i | ||||
\(730\) | −1373.53 | + | 2379.02i | −0.0696390 | + | 0.120618i | ||||
\(731\) | 3352.51 | + | 5806.72i | 0.169627 | + | 0.293802i | ||||
\(732\) | −6363.25 | + | 9160.23i | −0.321301 | + | 0.462530i | ||||
\(733\) | 19183.5 | + | 11075.6i | 0.966657 | + | 0.558100i | 0.898215 | − | 0.439555i | \(-0.144864\pi\) |
0.0684416 | + | 0.997655i | \(0.478197\pi\) | |||||||
\(734\) | 34714.3 | 1.74568 | ||||||||
\(735\) | −4242.54 | + | 7836.71i | −0.212909 | + | 0.393281i | ||||
\(736\) | −21095.9 | −1.05653 | ||||||||
\(737\) | −1271.69 | − | 734.209i | −0.0635593 | − | 0.0366960i | ||||
\(738\) | −5213.20 | + | 30912.8i | −0.260028 | + | 1.54189i | ||||
\(739\) | −3079.43 | − | 5333.73i | −0.153287 | − | 0.265500i | 0.779147 | − | 0.626841i | \(-0.215652\pi\) |
−0.932434 | + | 0.361341i | \(0.882319\pi\) | |||||||
\(740\) | −3211.34 | + | 5562.20i | −0.159529 | + | 0.276312i | ||||
\(741\) | 3149.10 | − | 1482.78i | 0.156120 | − | 0.0735105i | ||||
\(742\) | −12152.4 | − | 37009.1i | −0.601253 | − | 1.83106i | ||||
\(743\) | − | 31402.5i | − | 1.55053i | −0.631634 | − | 0.775267i | \(-0.717615\pi\) | ||
0.631634 | − | 0.775267i | \(-0.282385\pi\) | |||||||
\(744\) | 1133.79 | − | 13541.1i | 0.0558694 | − | 0.667258i | ||||
\(745\) | −2177.22 | + | 1257.02i | −0.107070 | + | 0.0618169i | ||||
\(746\) | −14098.9 | + | 8140.03i | −0.691956 | + | 0.399501i | ||||
\(747\) | −41.7557 | − | 112.112i | −0.00204520 | − | 0.00549127i | ||||
\(748\) | 986.255i | 0.0482100i | ||||||||
\(749\) | −6810.84 | + | 32540.0i | −0.332260 | + | 1.58743i | ||||
\(750\) | −978.870 | − | 2078.90i | −0.0476577 | − | 0.101214i | ||||
\(751\) | −13149.1 | + | 22774.9i | −0.638903 | + | 1.10661i | 0.346771 | + | 0.937950i | \(0.387278\pi\) |
−0.985674 | + | 0.168663i | \(0.946055\pi\) | |||||||
\(752\) | −15529.4 | − | 26897.7i | −0.753058 | − | 1.30433i | ||||
\(753\) | −18681.5 | − | 12977.3i | −0.904108 | − | 0.628049i | ||||
\(754\) | 5674.44 | + | 3276.14i | 0.274073 | + | 0.158236i | ||||
\(755\) | −11753.8 | −0.566577 | ||||||||
\(756\) | −6530.39 | − | 9747.74i | −0.314164 | − | 0.468944i | ||||
\(757\) | 40494.0 | 1.94422 | 0.972112 | − | 0.234517i | \(-0.0753507\pi\) | ||||
0.972112 | + | 0.234517i | \(0.0753507\pi\) | |||||||
\(758\) | 31635.4 | + | 18264.7i | 1.51590 | + | 0.875204i | ||||
\(759\) | 1731.92 | + | 1203.10i | 0.0828257 | + | 0.0575358i | ||||
\(760\) | 1419.72 | + | 2459.03i | 0.0677613 | + | 0.117366i | ||||
\(761\) | −6077.17 | + | 10526.0i | −0.289484 | + | 0.501401i | −0.973687 | − | 0.227891i | \(-0.926817\pi\) |
0.684203 | + | 0.729292i | \(0.260150\pi\) | |||||||
\(762\) | −17942.1 | − | 38105.2i | −0.852985 | − | 1.81155i | ||||
\(763\) | 9451.88 | − | 10563.3i | 0.448468 | − | 0.501202i | ||||
\(764\) | − | 483.156i | − | 0.0228795i | ||||||
\(765\) | −2915.78 | − | 7828.77i | −0.137804 | − | 0.369999i | ||||
\(766\) | 9899.84 | − | 5715.68i | 0.466966 | − | 0.269603i | ||||
\(767\) | 6937.38 | − | 4005.30i | 0.326590 | − | 0.188557i | ||||
\(768\) | 2229.31 | − | 26625.1i | 0.104744 | − | 1.25098i | ||||
\(769\) | 4997.38i | 0.234344i | 0.993112 | + | 0.117172i | \(0.0373828\pi\) | ||||
−0.993112 | + | 0.117172i | \(0.962617\pi\) | |||||||
\(770\) | −1131.71 | − | 236.876i | −0.0529665 | − | 0.0110862i | ||||
\(771\) | −2663.10 | + | 1253.94i | −0.124396 | + | 0.0585729i | ||||
\(772\) | −4927.23 | + | 8534.22i | −0.229709 | + | 0.397867i | ||||
\(773\) | −8420.67 | − | 14585.0i | −0.391812 | − | 0.678638i | 0.600877 | − | 0.799342i | \(-0.294818\pi\) |
−0.992689 | + | 0.120704i | \(0.961485\pi\) | |||||||
\(774\) | 1721.07 | − | 10205.5i | 0.0799259 | − | 0.473939i | ||||
\(775\) | −4593.13 | − | 2651.84i | −0.212890 | − | 0.122912i | ||||
\(776\) | 339.319 | 0.0156969 | ||||||||
\(777\) | −18806.4 | − | 19892.7i | −0.868308 | − | 0.918465i | ||||
\(778\) | −44451.4 | −2.04841 | ||||||||
\(779\) | −13094.2 | − | 7559.96i | −0.602246 | − | 0.347707i | ||||
\(780\) | −973.227 | + | 1401.01i | −0.0446758 | + | 0.0643131i | ||||
\(781\) | 705.738 | + | 1222.37i | 0.0323346 | + | 0.0560051i | ||||
\(782\) | −12586.7 | + | 21800.7i | −0.575573 | + | 0.996922i | ||||
\(783\) | 17312.2 | + | 4431.69i | 0.790150 | + | 0.202268i | ||||
\(784\) | 3027.93 | + | 27180.7i | 0.137934 | + | 1.23819i | ||||
\(785\) | − | 14255.5i | − | 0.648155i | ||||||
\(786\) | −9494.38 | − | 794.962i | −0.430857 | − | 0.0360755i | ||||
\(787\) | 10016.9 | − | 5783.24i | 0.453701 | − | 0.261944i | −0.255691 | − | 0.966759i | \(-0.582303\pi\) |
0.709392 | + | 0.704814i | \(0.248970\pi\) | |||||||
\(788\) | 801.832 | − | 462.938i | 0.0362488 | − | 0.0209283i | ||||
\(789\) | −6288.19 | − | 526.509i | −0.283733 | − | 0.0237569i | ||||
\(790\) | 20731.7i | 0.933673i | ||||||||
\(791\) | 2498.79 | − | 820.510i | 0.112322 | − | 0.0368824i | ||||
\(792\) | −748.332 | + | 905.466i | −0.0335743 | + | 0.0406241i | ||||
\(793\) | −3455.88 | + | 5985.75i | −0.154756 | + | 0.268046i | ||||
\(794\) | 2148.91 | + | 3722.02i | 0.0960478 | + | 0.166360i | ||||
\(795\) | −8812.31 | + | 12685.8i | −0.393133 | + | 0.565935i | ||||
\(796\) | −10418.2 | − | 6014.95i | −0.463899 | − | 0.267832i | ||||
\(797\) | 34942.8 | 1.55300 | 0.776498 | − | 0.630120i | \(-0.216994\pi\) | ||||
0.776498 | + | 0.630120i | \(0.216994\pi\) | |||||||
\(798\) | 15257.9 | − | 3632.70i | 0.676845 | − | 0.161148i | ||||
\(799\) | −24105.0 | −1.06730 | ||||||||
\(800\) | −3972.12 | − | 2293.30i | −0.175545 | − | 0.101351i | ||||
\(801\) | −26928.0 | − | 4541.20i | −1.18783 | − | 0.200319i | ||||
\(802\) | −15555.1 | − | 26942.3i | −0.684876 | − | 1.18624i | ||||
\(803\) | 274.059 | − | 474.685i | 0.0120440 | − | 0.0208609i | ||||
\(804\) | −8832.06 | + | 4158.65i | −0.387416 | + | 0.182418i | ||||
\(805\) | −7935.07 | − | 7100.18i | −0.347422 | − | 0.310868i | ||||
\(806\) | 10912.9i | 0.476912i | ||||||||
\(807\) | 393.756 | − | 4702.70i | 0.0171758 | − | 0.205134i | ||||
\(808\) | 20351.3 | − | 11749.8i | 0.886083 | − | 0.511580i | ||||
\(809\) | 24287.6 | − | 14022.5i | 1.05551 | − | 0.609398i | 0.131322 | − | 0.991340i | \(-0.458078\pi\) |
0.924186 | + | 0.381942i | \(0.124744\pi\) | |||||||
\(810\) | −4229.03 | + | 12181.9i | −0.183448 | + | 0.528429i | ||||
\(811\) | − | 2288.12i | − | 0.0990714i | −0.998772 | − | 0.0495357i | \(-0.984226\pi\) | ||
0.998772 | − | 0.0495357i | \(-0.0157742\pi\) | |||||||
\(812\) | 7938.54 | + | 7103.29i | 0.343089 | + | 0.306991i | ||||
\(813\) | −9607.53 | − | 20404.3i | −0.414454 | − | 0.880209i | ||||
\(814\) | 1775.94 | − | 3076.02i | 0.0764701 | − | 0.132450i | ||||
\(815\) | 5598.13 | + | 9696.24i | 0.240606 | + | 0.416742i | ||||
\(816\) | −21056.6 | − | 14627.2i | −0.903343 | − | 0.627517i | ||||
\(817\) | 4322.90 | + | 2495.83i | 0.185115 | + | 0.106876i | ||||
\(818\) | 19736.6 | 0.843612 | ||||||||
\(819\) | −4536.74 | − | 5681.88i | −0.193561 | − | 0.242419i | ||||
\(820\) | 7410.13 | 0.315577 | ||||||||
\(821\) | 24342.8 | + | 14054.3i | 1.03480 | + | 0.597441i | 0.918355 | − | 0.395757i | \(-0.129518\pi\) |
0.116442 | + | 0.993197i | \(0.462851\pi\) | |||||||
\(822\) | 17655.9 | + | 12264.9i | 0.749174 | + | 0.520422i | ||||
\(823\) | 14845.0 | + | 25712.2i | 0.628752 | + | 1.08903i | 0.987802 | + | 0.155712i | \(0.0497672\pi\) |
−0.359051 | + | 0.933318i | \(0.616899\pi\) | |||||||
\(824\) | 10743.2 | − | 18607.7i | 0.454195 | − | 0.786689i | ||||
\(825\) | 195.314 | + | 414.804i | 0.00824237 | + | 0.0175050i | ||||
\(826\) | 34294.7 | − | 11261.1i | 1.44463 | − | 0.474363i | ||||
\(827\) | 35131.6i | 1.47720i | 0.674142 | + | 0.738601i | \(0.264513\pi\) | ||||
−0.674142 | + | 0.738601i | \(0.735487\pi\) | |||||||
\(828\) | 13137.8 | − | 4893.09i | 0.551412 | − | 0.205371i | ||||
\(829\) | −30051.2 | + | 17350.1i | −1.25901 | + | 0.726891i | −0.972883 | − | 0.231300i | \(-0.925702\pi\) |
−0.286130 | + | 0.958191i | \(0.592369\pi\) | |||||||
\(830\) | −67.8773 | + | 39.1890i | −0.00283862 | + | 0.00163888i | ||||
\(831\) | 2769.60 | − | 33077.8i | 0.115615 | − | 1.38081i | ||||
\(832\) | 162.514i | 0.00677183i | ||||||||
\(833\) | 19444.0 | + | 8512.42i | 0.808755 | + | 0.354067i | ||||
\(834\) | 43236.7 | − | 20358.4i | 1.79516 | − | 0.845268i | ||||
\(835\) | −6173.34 | + | 10692.5i | −0.255853 | + | 0.443150i | ||||
\(836\) | 367.116 | + | 635.864i | 0.0151878 | + | 0.0263060i | ||||
\(837\) | 8024.69 | + | 28661.3i | 0.331391 | + | 1.18361i | ||||
\(838\) | −16696.2 | − | 9639.57i | −0.688260 | − | 0.397367i | ||||
\(839\) | −9268.60 | −0.381392 | −0.190696 | − | 0.981649i | \(-0.561074\pi\) | ||||
−0.190696 | + | 0.981649i | \(0.561074\pi\) | |||||||
\(840\) | 4310.10 | − | 4074.73i | 0.177039 | − | 0.167371i | ||||
\(841\) | 8164.24 | 0.334751 | ||||||||
\(842\) | 8453.97 | + | 4880.90i | 0.346013 | + | 0.199771i | ||||
\(843\) | 9917.43 | − | 14276.7i | 0.405189 | − | 0.583291i | ||||
\(844\) | 8770.54 | + | 15191.0i | 0.357695 | + | 0.619546i | ||||
\(845\) | 4963.94 | − | 8597.80i | 0.202088 | − | 0.350028i | ||||
\(846\) | 28680.3 | + | 23703.2i | 1.16554 | + | 0.963276i | ||||
\(847\) | −23901.8 | − | 5002.81i | −0.969629 | − | 0.202950i | ||||
\(848\) | 47404.0i | 1.91964i | ||||||||
\(849\) | 5676.06 | + | 475.255i | 0.229449 | + | 0.0192117i | ||||
\(850\) | −4739.84 | + | 2736.55i | −0.191265 | + | 0.110427i | ||||
\(851\) | 28327.3 | − | 16354.8i | 1.14107 | − | 0.658796i | ||||
\(852\) | 9350.87 | + | 782.947i | 0.376004 | + | 0.0314828i | ||||
\(853\) | 5300.18i | 0.212749i | 0.994326 | + | 0.106374i | \(0.0339242\pi\) | ||||
−0.994326 | + | 0.106374i | \(0.966076\pi\) | |||||||
\(854\) | −20767.8 | + | 23209.8i | −0.832154 | + | 0.930003i | ||||
\(855\) | −4794.00 | − | 3962.06i | −0.191756 | − | 0.158479i | ||||
\(856\) | 11063.7 | − | 19162.9i | 0.441765 | − | 0.765159i | ||||
\(857\) | −15912.3 | − | 27560.9i | −0.634251 | − | 1.09856i | −0.986673 | − | 0.162714i | \(-0.947975\pi\) |
0.352422 | − | 0.935841i | \(-0.385358\pi\) | |||||||
\(858\) | 538.216 | − | 774.790i | 0.0214154 | − | 0.0308285i | ||||
\(859\) | 13397.4 | + | 7734.97i | 0.532145 | + | 0.307234i | 0.741889 | − | 0.670522i | \(-0.233930\pi\) |
−0.209745 | + | 0.977756i | \(0.567263\pi\) | |||||||
\(860\) | −2446.36 | −0.0970004 | ||||||||
\(861\) | −9027.37 | + | 30266.4i | −0.357319 | + | 1.19800i | ||||
\(862\) | 16129.2 | 0.637312 | ||||||||
\(863\) | −188.260 | − | 108.692i | −0.00742576 | − | 0.00428727i | 0.496283 | − | 0.868161i | \(-0.334698\pi\) |
−0.503708 | + | 0.863874i | \(0.668031\pi\) | |||||||
\(864\) | 6939.73 | + | 24786.2i | 0.273257 | + | 0.975975i | ||||
\(865\) | 1865.57 | + | 3231.26i | 0.0733309 | + | 0.127013i | ||||
\(866\) | −13165.0 | + | 22802.5i | −0.516590 | + | 0.894759i | ||||
\(867\) | 5093.95 | − | 2398.53i | 0.199538 | − | 0.0939543i | ||||
\(868\) | −3634.76 | + | 17365.7i | −0.142133 | + | 0.679067i | ||||
\(869\) | − | 4136.60i | − | 0.161478i | ||||||
\(870\) | 976.856 | − | 11666.8i | 0.0380673 | − | 0.454644i | ||||
\(871\) | −5239.05 | + | 3024.77i | −0.203810 | + | 0.117670i | ||||
\(872\) | −8170.48 | + | 4717.23i | −0.317302 | + | 0.183194i | ||||
\(873\) | −696.487 | + | 259.403i | −0.0270017 | + | 0.0100567i | ||||
\(874\) | 18740.7i | 0.725300i | ||||||||
\(875\) | −722.231 | − | 2199.49i | −0.0279039 | − | 0.0849787i | ||||
\(876\) | −1552.31 | − | 3296.76i | −0.0598716 | − | 0.127154i | ||||
\(877\) | −23221.7 | + | 40221.2i | −0.894119 | + | 1.54866i | −0.0592274 | + | 0.998245i | \(0.518864\pi\) |
−0.834891 | + | 0.550415i | \(0.814470\pi\) | |||||||
\(878\) | −10688.7 | − | 18513.5i | −0.410852 | − | 0.711616i | ||||
\(879\) | 18564.9 | + | 12896.3i | 0.712378 | + | 0.494861i | ||||
\(880\) | 1218.57 | + | 703.539i | 0.0466794 | + | 0.0269504i | ||||
\(881\) | −29022.7 | −1.10988 | −0.554938 | − | 0.831892i | \(-0.687258\pi\) | ||||
−0.554938 | + | 0.831892i | \(0.687258\pi\) | |||||||
\(882\) | −14764.0 | − | 29247.9i | −0.563640 | − | 1.11659i | ||||
\(883\) | 33524.8 | 1.27769 | 0.638845 | − | 0.769336i | \(-0.279413\pi\) | ||||
0.638845 | + | 0.769336i | \(0.279413\pi\) | |||||||
\(884\) | 3518.78 | + | 2031.57i | 0.133879 | + | 0.0772954i | ||||
\(885\) | −11755.3 | − | 8165.97i | −0.446499 | − | 0.310165i | ||||
\(886\) | −7058.93 | − | 12226.4i | −0.267663 | − | 0.463606i | ||||
\(887\) | −23054.8 | + | 39932.2i | −0.872724 | + | 1.51160i | −0.0135557 | + | 0.999908i | \(0.504315\pi\) |
−0.859168 | + | 0.511694i | \(0.829018\pi\) | |||||||
\(888\) | 7761.89 | + | 16484.6i | 0.293324 | + | 0.622956i | ||||
\(889\) | −13238.1 | − | 40315.4i | −0.499428 | − | 1.52096i | ||||
\(890\) | 17890.7i | 0.673816i | ||||||||
\(891\) | 843.817 | − | 2430.65i | 0.0317272 | − | 0.0913915i | ||||
\(892\) | 2204.74 | − | 1272.91i | 0.0827581 | − | 0.0477804i | ||||
\(893\) | −15541.1 | + | 8972.68i | −0.582379 | + | 0.336237i | ||||
\(894\) | 771.211 | − | 9210.70i | 0.0288514 | − | 0.344577i | ||||
\(895\) | − | 17049.0i | − | 0.636743i | ||||||
\(896\) | 5418.77 | − | 25889.1i | 0.202041 | − | 0.965285i | ||||
\(897\) | 7859.99 | − | 3700.94i | 0.292572 | − | 0.137760i | ||||
\(898\) | 1586.77 | − | 2748.36i | 0.0589657 | − | 0.102132i | ||||
\(899\) | −13511.3 | − | 23402.2i | −0.501253 | − | 0.868196i | ||||
\(900\) | 3005.61 | + | 506.872i | 0.111319 | + | 0.0187730i | ||||
\(901\) | 31861.6 | + | 18395.3i | 1.17810 | + | 0.680174i | ||||
\(902\) | −4097.97 | −0.151272 | ||||||||
\(903\) | 2980.27 | − | 9992.07i | 0.109831 | − | 0.368234i | ||||
\(904\) | −1750.53 | −0.0644044 | ||||||||
\(905\) | −12720.2 | − | 7344.01i | −0.467220 | − | 0.269749i | ||||
\(906\) | 24653.9 | − | 35490.5i | 0.904051 | − | 1.30143i | ||||
\(907\) | 1333.54 | + | 2309.77i | 0.0488198 | + | 0.0845585i | 0.889403 | − | 0.457125i | \(-0.151121\pi\) |
−0.840583 | + | 0.541683i | \(0.817787\pi\) | |||||||
\(908\) | 1977.70 | − | 3425.48i | 0.0722824 | − | 0.125197i | ||||
\(909\) | −32790.6 | + | 39675.9i | −1.19647 | + | 1.44771i | ||||
\(910\) | −3176.33 | + | 3549.82i | −0.115708 | + | 0.129314i | ||||
\(911\) | 8098.22i | 0.294518i | 0.989098 | + | 0.147259i | \(0.0470451\pi\) | ||||
−0.989098 | + | 0.147259i | \(0.952955\pi\) | |||||||
\(912\) | −19020.4 | − | 1592.58i | −0.690603 | − | 0.0578240i | ||||
\(913\) | 13.5435 | − | 7.81937i | 0.000490937 | − | 0.000283443i | ||||
\(914\) | 6881.54 | − | 3973.06i | 0.249038 | − | 0.143782i | ||||
\(915\) | 12306.8 | + | 1030.45i | 0.444646 | + | 0.0372302i | ||||
\(916\) | 23036.0i | 0.830930i | ||||||||
\(917\) | −9395.32 | − | 1966.50i | −0.338343 | − | 0.0708176i | ||||
\(918\) | 29754.8 | + | 7616.81i | 1.06977 | + | 0.273848i | ||||
\(919\) | 12254.4 | − | 21225.2i | 0.439864 | − | 0.761867i | −0.557815 | − | 0.829966i | \(-0.688360\pi\) |
0.997679 | + | 0.0680987i | \(0.0216933\pi\) | |||||||
\(920\) | 3543.55 | + | 6137.60i | 0.126986 | + | 0.219946i | ||||
\(921\) | −17048.3 | + | 24542.0i | −0.609948 | + | 0.878051i | ||||
\(922\) | −19925.1 | − | 11503.8i | −0.711712 | − | 0.410907i | ||||
\(923\) | 5814.95 | 0.207369 | ||||||||
\(924\) | 1114.52 | − | 1053.66i | 0.0396808 | − | 0.0375139i | ||||
\(925\) | 7111.61 | 0.252787 | ||||||||
\(926\) | −39430.1 | − | 22765.0i | −1.39930 | − | 0.807887i | ||||
\(927\) | −7826.22 | + | 46407.3i | −0.277289 | + | 1.64425i | ||||
\(928\) | −11684.5 | − | 20238.2i | −0.413322 | − | 0.715895i | ||||
\(929\) | −16512.6 | + | 28600.7i | −0.583167 | + | 1.01007i | 0.411934 | + | 0.911214i | \(0.364853\pi\) |
−0.995101 | + | 0.0988613i | \(0.968480\pi\) | |||||||
\(930\) | 17641.4 | − | 8306.59i | 0.622025 | − | 0.292886i | ||||
\(931\) | 15704.6 | − | 1749.49i | 0.552844 | − | 0.0615868i | ||||
\(932\) | 26261.4i | 0.922984i | ||||||||
\(933\) | 2385.30 | − | 28488.1i | 0.0836991 | − | 0.999633i | ||||
\(934\) | −88.3275 | + | 50.9959i | −0.00309439 | + | 0.00178655i | ||||
\(935\) | 945.740 | − | 546.023i | 0.0330792 | − | 0.0190983i | ||||
\(936\) | 1689.06 | + | 4535.07i | 0.0589837 | + | 0.158369i | ||||
\(937\) | 1369.77i | 0.0477573i | 0.999715 | + | 0.0238786i | \(0.00760153\pi\) | ||||
−0.999715 | + | 0.0238786i | \(0.992398\pi\) | |||||||
\(938\) | −25899.1 | + | 8504.29i | −0.901529 | + | 0.296029i | ||||
\(939\) | 1594.53 | + | 3386.42i | 0.0554158 | + | 0.117691i | ||||
\(940\) | 4397.43 | − | 7616.57i | 0.152583 | − | 0.264282i | ||||
\(941\) | 19007.3 | + | 32921.7i | 0.658471 | + | 1.14051i | 0.981011 | + | 0.193950i | \(0.0621299\pi\) |
−0.322540 | + | 0.946556i | \(0.604537\pi\) | |||||||
\(942\) | 43044.3 | + | 29901.2i | 1.48881 | + | 1.03422i | ||||
\(943\) | −32682.5 | − | 18869.3i | −1.12862 | − | 0.651610i | ||||
\(944\) | −43927.1 | −1.51452 | ||||||||
\(945\) | −5731.87 | + | 11658.8i | −0.197310 | + | 0.401334i | ||||
\(946\) | 1352.89 | 0.0464972 | ||||||||
\(947\) | −12763.0 | − | 7368.74i | −0.437954 | − | 0.252853i | 0.264775 | − | 0.964310i | \(-0.414702\pi\) |
−0.702730 | + | 0.711457i | \(0.748036\pi\) | |||||||
\(948\) | −22585.7 | − | 15689.4i | −0.773787 | − | 0.537520i | ||||
\(949\) | −1129.06 | − | 1955.59i | −0.0386205 | − | 0.0668927i | ||||
\(950\) | −2037.27 | + | 3528.65i | −0.0695765 | + | 0.120510i | ||||
\(951\) | 272.683 | + | 579.119i | 0.00929796 | + | 0.0197468i | ||||
\(952\) | −10528.1 | − | 9420.43i | −0.358423 | − | 0.320712i | ||||
\(953\) | 1184.48i | 0.0402612i | 0.999797 | + | 0.0201306i | \(0.00640820\pi\) | ||||
−0.999797 | + | 0.0201306i | \(0.993592\pi\) | |||||||
\(954\) | −19820.5 | − | 53217.3i | −0.672655 | − | 1.80605i | ||||
\(955\) | −463.308 | + | 267.491i | −0.0156987 | + | 0.00906366i | ||||
\(956\) | 14808.8 | − | 8549.89i | 0.500996 | − | 0.289250i | ||||
\(957\) | −194.912 | + | 2327.87i | −0.00658371 | + | 0.0786304i | ||||
\(958\) | − | 35335.1i | − | 1.19168i | ||||||
\(959\) | 16140.6 | + | 14442.4i | 0.543491 | + | 0.486308i | ||||
\(960\) | 262.714 | − | 123.701i | 0.00883234 | − | 0.00415878i | ||||
\(961\) | 7607.76 | − | 13177.0i | 0.255371 | − | 0.442316i | ||||
\(962\) | −7316.46 | − | 12672.5i | −0.245210 | − | 0.424716i | ||||
\(963\) | −8059.73 | + | 47792.0i | −0.269700 | + | 1.59925i | ||||
\(964\) | 10152.1 | + | 5861.33i | 0.339189 | + | 0.195831i | ||||
\(965\) | 10911.5 | 0.363994 | ||||||||
\(966\) | 38082.9 | − | 9067.04i | 1.26842 | − | 0.301995i | ||||
\(967\) | 43755.8 | 1.45511 | 0.727555 | − | 0.686050i | \(-0.240657\pi\) | ||||
0.727555 | + | 0.686050i | \(0.240657\pi\) | |||||||
\(968\) | 14075.9 | + | 8126.72i | 0.467372 | + | 0.269837i | ||||
\(969\) | −8451.39 | + | 12166.2i | −0.280183 | + | 0.403338i | ||||
\(970\) | 243.458 | + | 421.681i | 0.00805871 | + | 0.0139581i | ||||
\(971\) | 640.617 | − | 1109.58i | 0.0211724 | − | 0.0366716i | −0.855245 | − | 0.518224i | \(-0.826593\pi\) |
0.876417 | + | 0.481552i | \(0.159927\pi\) | |||||||
\(972\) | −10070.8 | − | 13826.3i | −0.332327 | − | 0.456253i | ||||
\(973\) | 45744.7 | − | 15020.9i | 1.50720 | − | 0.494909i | ||||
\(974\) | 14710.4i | 0.483932i | ||||||||
\(975\) | 1882.27 | + | 157.602i | 0.0618265 | + | 0.00517672i | ||||
\(976\) | 32823.6 | − | 18950.7i | 1.07649 | − | 0.621514i | ||||
\(977\) | 9150.85 | − | 5283.25i | 0.299654 | − | 0.173005i | −0.342634 | − | 0.939469i | \(-0.611319\pi\) |
0.642287 | + | 0.766464i | \(0.277986\pi\) | |||||||
\(978\) | −41019.8 | − | 3434.58i | −1.34118 | − | 0.112296i | ||||
\(979\) | − | 3569.72i | − | 0.116536i | ||||||
\(980\) | −6236.82 | + | 4590.88i | −0.203294 | + | 0.149643i | ||||
\(981\) | 13164.5 | − | 15928.8i | 0.428451 | − | 0.518417i | ||||
\(982\) | −8811.66 | + | 15262.3i | −0.286346 | + | 0.495965i | ||||
\(983\) | −1262.37 | − | 2186.48i | −0.0409595 | − | 0.0709439i | 0.844819 | − | 0.535052i | \(-0.179708\pi\) |
−0.885778 | + | 0.464108i | \(0.846375\pi\) | |||||||
\(984\) | 11993.3 | − | 17265.0i | 0.388549 | − | 0.559336i | ||||
\(985\) | −887.841 | − | 512.595i | −0.0287198 | − | 0.0165814i | ||||
\(986\) | −27885.8 | −0.900673 | ||||||||
\(987\) | 25752.4 | + | 27240.0i | 0.830506 | + | 0.878479i | ||||
\(988\) | 3024.87 | 0.0974027 | ||||||||
\(989\) | 10789.7 | + | 6229.45i | 0.346910 | + | 0.200288i | ||||
\(990\) | −1662.17 | − | 280.311i | −0.0533608 | − | 0.00899886i | ||||
\(991\) | −22103.9 | − | 38285.1i | −0.708530 | − | 1.22721i | −0.965402 | − | 0.260765i | \(-0.916025\pi\) |
0.256872 | − | 0.966445i | \(-0.417308\pi\) | |||||||
\(992\) | 19460.7 | − | 33707.0i | 0.622862 | − | 1.07883i | ||||
\(993\) | −45281.4 | + | 21321.1i | −1.44709 | + | 0.681376i | ||||
\(994\) | 25646.7 | + | 5368.03i | 0.818375 | + | 0.171291i | ||||
\(995\) | 13320.3i | 0.424404i | ||||||||
\(996\) | 8.67482 | − | 103.605i | 0.000275976 | − | 0.00329603i | ||||
\(997\) | −30636.8 | + | 17688.2i | −0.973196 | + | 0.561875i | −0.900209 | − | 0.435458i | \(-0.856587\pi\) |
−0.0729871 | + | 0.997333i | \(0.523253\pi\) | |||||||
\(998\) | 25113.1 | − | 14499.1i | 0.796534 | − | 0.459879i | ||||
\(999\) | −28534.2 | − | 27902.4i | −0.903687 | − | 0.883678i |
(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 | 105.4.s.b.26.13 | yes | 32 | |
3.2 | odd | 2 | 105.4.s.a.26.4 | ✓ | 32 | ||
7.3 | odd | 6 | 105.4.s.a.101.4 | yes | 32 | ||
21.17 | even | 6 | inner | 105.4.s.b.101.13 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.s.a.26.4 | ✓ | 32 | 3.2 | odd | 2 | ||
105.4.s.a.101.4 | yes | 32 | 7.3 | odd | 6 | ||
105.4.s.b.26.13 | yes | 32 | 1.1 | even | 1 | trivial | |
105.4.s.b.101.13 | yes | 32 | 21.17 | even | 6 | inner |