Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(65,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.n (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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 65.8 | ||
Character | \(\chi\) | \(=\) | 462.65 |
Dual form | 462.2.n.e.263.8 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0.351333 | − | 1.69604i | 0.202842 | − | 0.979211i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.63087 | − | 0.941585i | −0.729349 | − | 0.421090i | 0.0888351 | − | 0.996046i | \(-0.471686\pi\) |
−0.818184 | + | 0.574957i | \(0.805019\pi\) | |||||||
\(6\) | 1.29315 | + | 1.15228i | 0.527927 | + | 0.470418i | ||||
\(7\) | 1.76745 | + | 1.96879i | 0.668032 | + | 0.744132i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.75313 | − | 1.19175i | −0.917710 | − | 0.397250i | ||||
\(10\) | 1.63087 | − | 0.941585i | 0.515728 | − | 0.297755i | ||||
\(11\) | 0.803239 | − | 3.21789i | 0.242186 | − | 0.970230i | ||||
\(12\) | −1.64448 | + | 0.543759i | −0.474721 | + | 0.156970i | ||||
\(13\) | − | 1.92843i | − | 0.534849i | −0.963579 | − | 0.267425i | \(-0.913827\pi\) | ||
0.963579 | − | 0.267425i | \(-0.0861727\pi\) | |||||||
\(14\) | −2.58874 | + | 0.546260i | −0.691871 | + | 0.145994i | ||||
\(15\) | −2.16995 | + | 2.43522i | −0.560278 | + | 0.628772i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.83021 | − | 3.17001i | −0.443890 | − | 0.768841i | 0.554084 | − | 0.832461i | \(-0.313069\pi\) |
−0.997974 | + | 0.0636202i | \(0.979735\pi\) | |||||||
\(18\) | 2.40865 | − | 1.78841i | 0.567725 | − | 0.421531i | ||||
\(19\) | 2.68054 | + | 1.54761i | 0.614958 | + | 0.355046i | 0.774903 | − | 0.632080i | \(-0.217798\pi\) |
−0.159945 | + | 0.987126i | \(0.551132\pi\) | |||||||
\(20\) | 1.88317i | 0.421090i | ||||||||
\(21\) | 3.96011 | − | 2.30597i | 0.864168 | − | 0.503204i | ||||
\(22\) | 2.38515 | + | 2.30457i | 0.508516 | + | 0.491336i | ||||
\(23\) | −3.71066 | − | 2.14235i | −0.773726 | − | 0.446711i | 0.0604759 | − | 0.998170i | \(-0.480738\pi\) |
−0.834202 | + | 0.551459i | \(0.814071\pi\) | |||||||
\(24\) | 0.351333 | − | 1.69604i | 0.0717154 | − | 0.346204i | ||||
\(25\) | −0.726834 | − | 1.25891i | −0.145367 | − | 0.251783i | ||||
\(26\) | 1.67007 | + | 0.964214i | 0.327527 | + | 0.189098i | ||||
\(27\) | −2.98853 | + | 4.25073i | −0.575142 | + | 0.818053i | ||||
\(28\) | 0.821298 | − | 2.51505i | 0.155211 | − | 0.475300i | ||||
\(29\) | −9.69651 | −1.80060 | −0.900298 | − | 0.435274i | \(-0.856652\pi\) | ||||
−0.900298 | + | 0.435274i | \(0.856652\pi\) | |||||||
\(30\) | −1.02399 | − | 3.09684i | −0.186954 | − | 0.565404i | ||||
\(31\) | −5.11862 | − | 8.86571i | −0.919331 | − | 1.59233i | −0.800433 | − | 0.599422i | \(-0.795397\pi\) |
−0.118899 | − | 0.992906i | \(-0.537936\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −5.17548 | − | 2.49288i | −0.900935 | − | 0.433954i | ||||
\(34\) | 3.66041 | 0.627756 | ||||||||
\(35\) | −1.02870 | − | 4.87505i | −0.173882 | − | 0.824034i | ||||
\(36\) | 0.344479 | + | 2.98016i | 0.0574132 | + | 0.496693i | ||||
\(37\) | 4.15848 | − | 7.20269i | 0.683649 | − | 1.18412i | −0.290210 | − | 0.956963i | \(-0.593725\pi\) |
0.973859 | − | 0.227152i | \(-0.0729415\pi\) | |||||||
\(38\) | −2.68054 | + | 1.54761i | −0.434841 | + | 0.251056i | ||||
\(39\) | −3.27070 | − | 0.677519i | −0.523731 | − | 0.108490i | ||||
\(40\) | −1.63087 | − | 0.941585i | −0.257864 | − | 0.148878i | ||||
\(41\) | 6.35661 | 0.992736 | 0.496368 | − | 0.868112i | \(-0.334667\pi\) | ||||
0.496368 | + | 0.868112i | \(0.334667\pi\) | |||||||
\(42\) | 0.0169703 | + | 4.58254i | 0.00261858 | + | 0.707102i | ||||
\(43\) | 6.75096i | 1.02951i | 0.857337 | + | 0.514756i | \(0.172118\pi\) | ||||
−0.857337 | + | 0.514756i | \(0.827882\pi\) | |||||||
\(44\) | −3.18839 | + | 0.913319i | −0.480668 | + | 0.137688i | ||||
\(45\) | 3.36787 | + | 4.53590i | 0.502053 | + | 0.676172i | ||||
\(46\) | 3.71066 | − | 2.14235i | 0.547107 | − | 0.315872i | ||||
\(47\) | 4.43228 | + | 2.55898i | 0.646515 | + | 0.373265i | 0.787120 | − | 0.616800i | \(-0.211571\pi\) |
−0.140605 | + | 0.990066i | \(0.544905\pi\) | |||||||
\(48\) | 1.29315 | + | 1.15228i | 0.186650 | + | 0.166318i | ||||
\(49\) | −0.752260 | + | 6.95946i | −0.107466 | + | 0.994209i | ||||
\(50\) | 1.45367 | 0.205580 | ||||||||
\(51\) | −6.01949 | + | 1.99038i | −0.842897 | + | 0.278709i | ||||
\(52\) | −1.67007 | + | 0.964214i | −0.231597 | + | 0.133712i | ||||
\(53\) | −2.07152 | + | 1.19599i | −0.284545 | + | 0.164282i | −0.635479 | − | 0.772118i | \(-0.719197\pi\) |
0.350934 | + | 0.936400i | \(0.385864\pi\) | |||||||
\(54\) | −2.18698 | − | 4.71350i | −0.297610 | − | 0.641427i | ||||
\(55\) | −4.33990 | + | 4.49165i | −0.585192 | + | 0.605654i | ||||
\(56\) | 1.76745 | + | 1.96879i | 0.236185 | + | 0.263090i | ||||
\(57\) | 3.56658 | − | 4.00259i | 0.472405 | − | 0.530156i | ||||
\(58\) | 4.84825 | − | 8.39742i | 0.636607 | − | 1.10264i | ||||
\(59\) | 9.50971 | − | 5.49043i | 1.23806 | − | 0.714794i | 0.269362 | − | 0.963039i | \(-0.413187\pi\) |
0.968697 | + | 0.248246i | \(0.0798540\pi\) | |||||||
\(60\) | 3.19394 | + | 0.661619i | 0.412336 | + | 0.0854147i | ||||
\(61\) | 10.0627 | + | 5.80969i | 1.28839 | + | 0.743854i | 0.978368 | − | 0.206874i | \(-0.0663291\pi\) |
0.310025 | + | 0.950728i | \(0.399662\pi\) | |||||||
\(62\) | 10.2372 | 1.30013 | ||||||||
\(63\) | −2.51971 | − | 7.52669i | −0.317453 | − | 0.948274i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.81578 | + | 3.14502i | −0.225220 | + | 0.390092i | ||||
\(66\) | 4.74663 | − | 3.23566i | 0.584270 | − | 0.398282i | ||||
\(67\) | 5.56729 | + | 9.64283i | 0.680153 | + | 1.17806i | 0.974934 | + | 0.222495i | \(0.0714200\pi\) |
−0.294781 | + | 0.955565i | \(0.595247\pi\) | |||||||
\(68\) | −1.83021 | + | 3.17001i | −0.221945 | + | 0.384420i | ||||
\(69\) | −4.93720 | + | 5.54077i | −0.594369 | + | 0.667030i | ||||
\(70\) | 4.73627 | + | 1.54664i | 0.566092 | + | 0.184859i | ||||
\(71\) | − | 9.77457i | − | 1.16003i | −0.814607 | − | 0.580014i | \(-0.803047\pi\) | ||
0.814607 | − | 0.580014i | \(-0.196953\pi\) | |||||||
\(72\) | −2.75313 | − | 1.19175i | −0.324460 | − | 0.140449i | ||||
\(73\) | 1.82066 | − | 1.05116i | 0.213092 | − | 0.123029i | −0.389655 | − | 0.920961i | \(-0.627406\pi\) |
0.602748 | + | 0.797932i | \(0.294073\pi\) | |||||||
\(74\) | 4.15848 | + | 7.20269i | 0.483413 | + | 0.837296i | ||||
\(75\) | −2.39053 | + | 0.790445i | −0.276035 | + | 0.0912728i | ||||
\(76\) | − | 3.09522i | − | 0.355046i | ||||||
\(77\) | 7.75503 | − | 4.10604i | 0.883767 | − | 0.467927i | ||||
\(78\) | 2.22210 | − | 2.49375i | 0.251603 | − | 0.282361i | ||||
\(79\) | −9.73232 | − | 5.61896i | −1.09497 | − | 0.632182i | −0.160076 | − | 0.987105i | \(-0.551174\pi\) |
−0.934896 | + | 0.354922i | \(0.884507\pi\) | |||||||
\(80\) | 1.63087 | − | 0.941585i | 0.182337 | − | 0.105272i | ||||
\(81\) | 6.15946 | + | 6.56209i | 0.684384 | + | 0.729121i | ||||
\(82\) | −3.17830 | + | 5.50499i | −0.350985 | + | 0.607924i | ||||
\(83\) | 2.34518 | 0.257417 | 0.128709 | − | 0.991682i | \(-0.458917\pi\) | ||||
0.128709 | + | 0.991682i | \(0.458917\pi\) | |||||||
\(84\) | −3.97708 | − | 2.27658i | −0.433936 | − | 0.248395i | ||||
\(85\) | 6.89318i | 0.747671i | ||||||||
\(86\) | −5.84651 | − | 3.37548i | −0.630445 | − | 0.363988i | ||||
\(87\) | −3.40670 | + | 16.4457i | −0.365236 | + | 1.76316i | ||||
\(88\) | 0.803239 | − | 3.21789i | 0.0856256 | − | 0.343028i | ||||
\(89\) | 10.7547 | + | 6.20926i | 1.14000 | + | 0.658180i | 0.946431 | − | 0.322907i | \(-0.104660\pi\) |
0.193570 | + | 0.981086i | \(0.437993\pi\) | |||||||
\(90\) | −5.61214 | + | 0.648713i | −0.591572 | + | 0.0683803i | ||||
\(91\) | 3.79667 | − | 3.40839i | 0.397999 | − | 0.357297i | ||||
\(92\) | 4.28470i | 0.446711i | ||||||||
\(93\) | −16.8350 | + | 5.56659i | −1.74571 | + | 0.577229i | ||||
\(94\) | −4.43228 | + | 2.55898i | −0.457155 | + | 0.263938i | ||||
\(95\) | −2.91441 | − | 5.04791i | −0.299013 | − | 0.517905i | ||||
\(96\) | −1.64448 | + | 0.543759i | −0.167839 | + | 0.0554972i | ||||
\(97\) | −0.0299777 | −0.00304378 | −0.00152189 | − | 0.999999i | \(-0.500484\pi\) | ||||
−0.00152189 | + | 0.999999i | \(0.500484\pi\) | |||||||
\(98\) | −5.65094 | − | 4.13121i | −0.570831 | − | 0.417315i | ||||
\(99\) | −6.04634 | + | 7.90201i | −0.607680 | + | 0.794182i | ||||
\(100\) | −0.726834 | + | 1.25891i | −0.0726834 | + | 0.125891i | ||||
\(101\) | 3.38899 | + | 5.86990i | 0.337217 | + | 0.584077i | 0.983908 | − | 0.178675i | \(-0.0571811\pi\) |
−0.646691 | + | 0.762752i | \(0.723848\pi\) | |||||||
\(102\) | 1.28602 | − | 6.20822i | 0.127335 | − | 0.614706i | ||||
\(103\) | 6.44521 | − | 11.1634i | 0.635065 | − | 1.09997i | −0.351436 | − | 0.936212i | \(-0.614307\pi\) |
0.986501 | − | 0.163753i | \(-0.0523602\pi\) | |||||||
\(104\) | − | 1.92843i | − | 0.189098i | ||||||
\(105\) | −8.62971 | + | 0.0319580i | −0.842174 | + | 0.00311878i | ||||
\(106\) | − | 2.39199i | − | 0.232330i | ||||||
\(107\) | −2.11847 | + | 3.66929i | −0.204800 | + | 0.354724i | −0.950069 | − | 0.312040i | \(-0.898988\pi\) |
0.745269 | + | 0.666764i | \(0.232321\pi\) | |||||||
\(108\) | 5.17550 | + | 0.462774i | 0.498013 | + | 0.0445305i | ||||
\(109\) | 1.52333 | − | 0.879494i | 0.145908 | − | 0.0842403i | −0.425269 | − | 0.905067i | \(-0.639820\pi\) |
0.571177 | + | 0.820827i | \(0.306487\pi\) | |||||||
\(110\) | −1.71994 | − | 6.00429i | −0.163989 | − | 0.572486i | ||||
\(111\) | −10.7551 | − | 9.58350i | −1.02083 | − | 0.909625i | ||||
\(112\) | −2.58874 | + | 0.546260i | −0.244613 | + | 0.0516167i | ||||
\(113\) | 7.04904i | 0.663118i | 0.943435 | + | 0.331559i | \(0.107575\pi\) | ||||
−0.943435 | + | 0.331559i | \(0.892425\pi\) | |||||||
\(114\) | 1.68305 | + | 5.09004i | 0.157633 | + | 0.476726i | ||||
\(115\) | 4.03441 | + | 6.98781i | 0.376211 | + | 0.651617i | ||||
\(116\) | 4.84825 | + | 8.39742i | 0.450149 | + | 0.779681i | ||||
\(117\) | −2.29820 | + | 5.30921i | −0.212469 | + | 0.490837i | ||||
\(118\) | 10.9809i | 1.01087i | ||||||||
\(119\) | 3.00629 | − | 9.20612i | 0.275586 | − | 0.843924i | ||||
\(120\) | −2.16995 | + | 2.43522i | −0.198088 | + | 0.222305i | ||||
\(121\) | −9.70961 | − | 5.16947i | −0.882692 | − | 0.469952i | ||||
\(122\) | −10.0627 | + | 5.80969i | −0.911031 | + | 0.525984i | ||||
\(123\) | 2.23328 | − | 10.7811i | 0.201368 | − | 0.972098i | ||||
\(124\) | −5.11862 | + | 8.86571i | −0.459666 | + | 0.796164i | ||||
\(125\) | 12.1534i | 1.08703i | ||||||||
\(126\) | 7.77816 | + | 1.58121i | 0.692933 | + | 0.140866i | ||||
\(127\) | − | 12.5296i | − | 1.11182i | −0.831243 | − | 0.555909i | \(-0.812370\pi\) | ||
0.831243 | − | 0.555909i | \(-0.187630\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 11.4499 | + | 2.37183i | 1.00811 | + | 0.208828i | ||||
\(130\) | −1.81578 | − | 3.14502i | −0.159254 | − | 0.275837i | ||||
\(131\) | −0.954269 | + | 1.65284i | −0.0833749 | + | 0.144410i | −0.904698 | − | 0.426054i | \(-0.859903\pi\) |
0.821323 | + | 0.570464i | \(0.193237\pi\) | |||||||
\(132\) | 0.428843 | + | 5.72853i | 0.0373260 | + | 0.498605i | ||||
\(133\) | 1.69079 | + | 8.01274i | 0.146610 | + | 0.694792i | ||||
\(134\) | −11.1346 | −0.961882 | ||||||||
\(135\) | 8.87633 | − | 4.11845i | 0.763953 | − | 0.354460i | ||||
\(136\) | −1.83021 | − | 3.17001i | −0.156939 | − | 0.271826i | ||||
\(137\) | 0.456798 | − | 0.263732i | 0.0390269 | − | 0.0225322i | −0.480360 | − | 0.877072i | \(-0.659494\pi\) |
0.519386 | + | 0.854539i | \(0.326161\pi\) | |||||||
\(138\) | −2.32985 | − | 7.04612i | −0.198330 | − | 0.599806i | ||||
\(139\) | − | 2.83391i | − | 0.240369i | −0.992752 | − | 0.120185i | \(-0.961651\pi\) | ||
0.992752 | − | 0.120185i | \(-0.0383487\pi\) | |||||||
\(140\) | −3.70757 | + | 3.32840i | −0.313346 | + | 0.281302i | ||||
\(141\) | 5.89734 | − | 6.61829i | 0.496646 | − | 0.557361i | ||||
\(142\) | 8.46502 | + | 4.88728i | 0.710369 | + | 0.410132i | ||||
\(143\) | −6.20546 | − | 1.54899i | −0.518927 | − | 0.129533i | ||||
\(144\) | 2.40865 | − | 1.78841i | 0.200721 | − | 0.149034i | ||||
\(145\) | 15.8138 | + | 9.13009i | 1.31326 | + | 0.758213i | ||||
\(146\) | 2.10232i | 0.173989i | ||||||||
\(147\) | 11.5393 | + | 3.72095i | 0.951742 | + | 0.306899i | ||||
\(148\) | −8.31695 | −0.683649 | ||||||||
\(149\) | −6.58936 | + | 11.4131i | −0.539821 | + | 0.934998i | 0.459092 | + | 0.888389i | \(0.348175\pi\) |
−0.998913 | + | 0.0466093i | \(0.985158\pi\) | |||||||
\(150\) | 0.510721 | − | 2.46549i | 0.0417002 | − | 0.201306i | ||||
\(151\) | −16.8439 | + | 9.72486i | −1.37074 | + | 0.791398i | −0.991021 | − | 0.133704i | \(-0.957313\pi\) |
−0.379719 | + | 0.925102i | \(0.623979\pi\) | |||||||
\(152\) | 2.68054 | + | 1.54761i | 0.217421 | + | 0.125528i | ||||
\(153\) | 1.26094 | + | 10.9086i | 0.101941 | + | 0.881909i | ||||
\(154\) | −0.321578 | + | 8.76907i | −0.0259135 | + | 0.706632i | ||||
\(155\) | 19.2785i | 1.54848i | ||||||||
\(156\) | 1.04860 | + | 3.17127i | 0.0839552 | + | 0.253905i | ||||
\(157\) | 1.05398 | + | 1.82555i | 0.0841170 | + | 0.145695i | 0.905015 | − | 0.425380i | \(-0.139860\pi\) |
−0.820898 | + | 0.571075i | \(0.806526\pi\) | |||||||
\(158\) | 9.73232 | − | 5.61896i | 0.774262 | − | 0.447020i | ||||
\(159\) | 1.30067 | + | 3.93358i | 0.103149 | + | 0.311954i | ||||
\(160\) | 1.88317i | 0.148878i | ||||||||
\(161\) | −2.34056 | − | 11.0920i | −0.184462 | − | 0.874172i | ||||
\(162\) | −8.76267 | + | 2.05320i | −0.688460 | + | 0.161315i | ||||
\(163\) | 1.59864 | − | 2.76892i | 0.125215 | − | 0.216878i | −0.796602 | − | 0.604504i | \(-0.793371\pi\) |
0.921817 | + | 0.387626i | \(0.126705\pi\) | |||||||
\(164\) | −3.17830 | − | 5.50499i | −0.248184 | − | 0.429867i | ||||
\(165\) | 6.09329 | + | 8.93872i | 0.474362 | + | 0.695879i | ||||
\(166\) | −1.17259 | + | 2.03099i | −0.0910108 | + | 0.157635i | ||||
\(167\) | −2.23560 | −0.172996 | −0.0864980 | − | 0.996252i | \(-0.527568\pi\) | ||||
−0.0864980 | + | 0.996252i | \(0.527568\pi\) | |||||||
\(168\) | 3.96011 | − | 2.30597i | 0.305529 | − | 0.177909i | ||||
\(169\) | 9.28117 | 0.713936 | ||||||||
\(170\) | −5.96967 | − | 3.44659i | −0.457853 | − | 0.264342i | ||||
\(171\) | −5.53551 | − | 7.45531i | −0.423311 | − | 0.570122i | ||||
\(172\) | 5.84651 | − | 3.37548i | 0.445792 | − | 0.257378i | ||||
\(173\) | 6.02196 | − | 10.4303i | 0.457841 | − | 0.793005i | −0.541005 | − | 0.841019i | \(-0.681956\pi\) |
0.998847 | + | 0.0480147i | \(0.0152894\pi\) | |||||||
\(174\) | −12.5390 | − | 11.1731i | −0.950583 | − | 0.847034i | ||||
\(175\) | 1.19389 | − | 3.65605i | 0.0902499 | − | 0.276371i | ||||
\(176\) | 2.38515 | + | 2.30457i | 0.179788 | + | 0.173713i | ||||
\(177\) | −5.97095 | − | 18.0579i | −0.448804 | − | 1.35731i | ||||
\(178\) | −10.7547 | + | 6.20926i | −0.806102 | + | 0.465403i | ||||
\(179\) | −0.922959 | + | 0.532870i | −0.0689852 | + | 0.0398286i | −0.534096 | − | 0.845424i | \(-0.679348\pi\) |
0.465111 | + | 0.885253i | \(0.346015\pi\) | |||||||
\(180\) | 2.24427 | − | 5.18462i | 0.167278 | − | 0.386438i | ||||
\(181\) | −5.88043 | −0.437089 | −0.218544 | − | 0.975827i | \(-0.570131\pi\) | ||||
−0.218544 | + | 0.975827i | \(0.570131\pi\) | |||||||
\(182\) | 1.05342 | + | 4.99221i | 0.0780848 | + | 0.370047i | ||||
\(183\) | 13.3888 | − | 15.0256i | 0.989730 | − | 1.11072i | ||||
\(184\) | −3.71066 | − | 2.14235i | −0.273554 | − | 0.157936i | ||||
\(185\) | −13.5639 | + | 7.83112i | −0.997237 | + | 0.575755i | ||||
\(186\) | 3.59668 | − | 17.3628i | 0.263721 | − | 1.27310i | ||||
\(187\) | −11.6708 | + | 3.34312i | −0.853456 | + | 0.244473i | ||||
\(188\) | − | 5.11796i | − | 0.373265i | ||||||
\(189\) | −13.6509 | + | 1.62916i | −0.992954 | + | 0.118504i | ||||
\(190\) | 5.82883 | 0.422868 | ||||||||
\(191\) | 13.1117 | + | 7.57002i | 0.948726 | + | 0.547747i | 0.892685 | − | 0.450681i | \(-0.148819\pi\) |
0.0560409 | + | 0.998428i | \(0.482152\pi\) | |||||||
\(192\) | 0.351333 | − | 1.69604i | 0.0253552 | − | 0.122401i | ||||
\(193\) | 7.77762 | − | 4.49041i | 0.559845 | − | 0.323227i | −0.193238 | − | 0.981152i | \(-0.561899\pi\) |
0.753083 | + | 0.657925i | \(0.228566\pi\) | |||||||
\(194\) | 0.0149889 | − | 0.0259615i | 0.00107614 | − | 0.00186392i | ||||
\(195\) | 4.69615 | + | 4.18459i | 0.336298 | + | 0.299665i | ||||
\(196\) | 6.40320 | − | 2.82825i | 0.457371 | − | 0.202018i | ||||
\(197\) | 26.3131 | 1.87473 | 0.937365 | − | 0.348348i | \(-0.113257\pi\) | ||||
0.937365 | + | 0.348348i | \(0.113257\pi\) | |||||||
\(198\) | −3.82017 | − | 9.18729i | −0.271487 | − | 0.652912i | ||||
\(199\) | −11.1870 | − | 19.3764i | −0.793023 | − | 1.37356i | −0.924087 | − | 0.382183i | \(-0.875172\pi\) |
0.131063 | − | 0.991374i | \(-0.458161\pi\) | |||||||
\(200\) | −0.726834 | − | 1.25891i | −0.0513949 | − | 0.0890186i | ||||
\(201\) | 18.3106 | − | 6.05453i | 1.29153 | − | 0.427054i | ||||
\(202\) | −6.77798 | −0.476897 | ||||||||
\(203\) | −17.1381 | − | 19.0904i | −1.20286 | − | 1.33988i | ||||
\(204\) | 4.73347 | + | 4.21784i | 0.331409 | + | 0.295308i | ||||
\(205\) | −10.3668 | − | 5.98529i | −0.724051 | − | 0.418031i | ||||
\(206\) | 6.44521 | + | 11.1634i | 0.449059 | + | 0.777793i | ||||
\(207\) | 7.66279 | + | 10.3204i | 0.532601 | + | 0.717314i | ||||
\(208\) | 1.67007 | + | 0.964214i | 0.115798 | + | 0.0668562i | ||||
\(209\) | 7.13315 | − | 7.38258i | 0.493411 | − | 0.510664i | ||||
\(210\) | 4.28718 | − | 7.48953i | 0.295844 | − | 0.516827i | ||||
\(211\) | − | 3.09207i | − | 0.212867i | −0.994320 | − | 0.106434i | \(-0.966057\pi\) | ||
0.994320 | − | 0.106434i | \(-0.0339432\pi\) | |||||||
\(212\) | 2.07152 | + | 1.19599i | 0.142273 | + | 0.0821412i | ||||
\(213\) | −16.5781 | − | 3.43412i | −1.13591 | − | 0.235302i | ||||
\(214\) | −2.11847 | − | 3.66929i | −0.144815 | − | 0.250827i | ||||
\(215\) | 6.35661 | − | 11.0100i | 0.433517 | − | 0.750874i | ||||
\(216\) | −2.98853 | + | 4.25073i | −0.203343 | + | 0.289226i | ||||
\(217\) | 8.40782 | − | 25.7472i | 0.570760 | − | 1.74783i | ||||
\(218\) | 1.75899i | 0.119134i | ||||||||
\(219\) | −1.14315 | − | 3.45723i | −0.0772472 | − | 0.233618i | ||||
\(220\) | 6.05983 | + | 1.51264i | 0.408554 | + | 0.101982i | ||||
\(221\) | −6.11314 | + | 3.52942i | −0.411214 | + | 0.237415i | ||||
\(222\) | 13.6771 | − | 4.52242i | 0.917946 | − | 0.303525i | ||||
\(223\) | 17.5862 | 1.17766 | 0.588829 | − | 0.808258i | \(-0.299589\pi\) | ||||
0.588829 | + | 0.808258i | \(0.299589\pi\) | |||||||
\(224\) | 0.821298 | − | 2.51505i | 0.0548753 | − | 0.168044i | ||||
\(225\) | 0.500758 | + | 4.33216i | 0.0333839 | + | 0.288811i | ||||
\(226\) | −6.10465 | − | 3.52452i | −0.406075 | − | 0.234448i | ||||
\(227\) | 2.91997 | + | 5.05754i | 0.193805 | + | 0.335681i | 0.946508 | − | 0.322680i | \(-0.104584\pi\) |
−0.752703 | + | 0.658360i | \(0.771250\pi\) | |||||||
\(228\) | −5.24963 | − | 1.08745i | −0.347665 | − | 0.0720183i | ||||
\(229\) | −9.77062 | + | 16.9232i | −0.645661 | + | 1.11832i | 0.338488 | + | 0.940971i | \(0.390085\pi\) |
−0.984149 | + | 0.177346i | \(0.943249\pi\) | |||||||
\(230\) | −8.06883 | −0.532043 | ||||||||
\(231\) | −4.23943 | − | 14.5955i | −0.278934 | − | 0.960310i | ||||
\(232\) | −9.69651 | −0.636607 | ||||||||
\(233\) | 7.60946 | − | 13.1800i | 0.498512 | − | 0.863448i | −0.501486 | − | 0.865166i | \(-0.667213\pi\) |
0.999999 | + | 0.00171719i | \(0.000546597\pi\) | |||||||
\(234\) | −3.44881 | − | 4.64491i | −0.225456 | − | 0.303647i | ||||
\(235\) | −4.81899 | − | 8.34674i | −0.314356 | − | 0.544481i | ||||
\(236\) | −9.50971 | − | 5.49043i | −0.619029 | − | 0.357397i | ||||
\(237\) | −12.9493 | + | 14.5323i | −0.841146 | + | 0.943976i | ||||
\(238\) | 6.46959 | + | 7.20658i | 0.419361 | + | 0.467133i | ||||
\(239\) | −7.81811 | −0.505712 | −0.252856 | − | 0.967504i | \(-0.581370\pi\) | ||||
−0.252856 | + | 0.967504i | \(0.581370\pi\) | |||||||
\(240\) | −1.02399 | − | 3.09684i | −0.0660984 | − | 0.199900i | ||||
\(241\) | −17.1878 | + | 9.92339i | −1.10717 | + | 0.639222i | −0.938094 | − | 0.346382i | \(-0.887410\pi\) |
−0.169071 | + | 0.985604i | \(0.554077\pi\) | |||||||
\(242\) | 9.33170 | − | 5.82404i | 0.599864 | − | 0.374383i | ||||
\(243\) | 13.2936 | − | 8.14124i | 0.852786 | − | 0.522261i | ||||
\(244\) | − | 11.6194i | − | 0.743854i | ||||||
\(245\) | 7.77977 | − | 10.6417i | 0.497031 | − | 0.679872i | ||||
\(246\) | 8.22006 | + | 7.32462i | 0.524092 | + | 0.467001i | ||||
\(247\) | 2.98445 | − | 5.16923i | 0.189896 | − | 0.328910i | ||||
\(248\) | −5.11862 | − | 8.86571i | −0.325033 | − | 0.562973i | ||||
\(249\) | 0.823939 | − | 3.97753i | 0.0522150 | − | 0.252066i | ||||
\(250\) | −10.5251 | − | 6.07668i | −0.665667 | − | 0.384323i | ||||
\(251\) | 8.52934i | 0.538367i | 0.963089 | + | 0.269184i | \(0.0867538\pi\) | ||||
−0.963089 | + | 0.269184i | \(0.913246\pi\) | |||||||
\(252\) | −5.25845 | + | 5.94548i | −0.331251 | + | 0.374530i | ||||
\(253\) | −9.87440 | + | 10.2197i | −0.620798 | + | 0.642505i | ||||
\(254\) | 10.8509 | + | 6.26478i | 0.680847 | + | 0.393087i | ||||
\(255\) | 11.6911 | + | 2.42180i | 0.732128 | + | 0.151659i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 4.21369 | + | 2.43278i | 0.262843 | + | 0.151752i | 0.625631 | − | 0.780119i | \(-0.284842\pi\) |
−0.362788 | + | 0.931872i | \(0.618175\pi\) | |||||||
\(258\) | −7.77903 | + | 8.73002i | −0.484302 | + | 0.543507i | ||||
\(259\) | 21.5305 | − | 4.54322i | 1.33784 | − | 0.282302i | ||||
\(260\) | 3.63156 | 0.225220 | ||||||||
\(261\) | 26.6958 | + | 11.5558i | 1.65243 | + | 0.715287i | ||||
\(262\) | −0.954269 | − | 1.65284i | −0.0589549 | − | 0.102113i | ||||
\(263\) | −4.34326 | − | 7.52274i | −0.267817 | − | 0.463872i | 0.700481 | − | 0.713671i | \(-0.252969\pi\) |
−0.968298 | + | 0.249799i | \(0.919636\pi\) | |||||||
\(264\) | −5.17548 | − | 2.49288i | −0.318529 | − | 0.153426i | ||||
\(265\) | 4.50452 | 0.276711 | ||||||||
\(266\) | −7.78463 | − | 2.54210i | −0.477306 | − | 0.155866i | ||||
\(267\) | 14.3097 | − | 16.0590i | 0.875737 | − | 0.982796i | ||||
\(268\) | 5.56729 | − | 9.64283i | 0.340077 | − | 0.589030i | ||||
\(269\) | −4.58369 | + | 2.64640i | −0.279473 | + | 0.161354i | −0.633185 | − | 0.774001i | \(-0.718253\pi\) |
0.353712 | + | 0.935354i | \(0.384919\pi\) | |||||||
\(270\) | −0.871483 | + | 9.74636i | −0.0530368 | + | 0.593144i | ||||
\(271\) | 11.7299 | + | 6.77227i | 0.712541 | + | 0.411386i | 0.812001 | − | 0.583656i | \(-0.198378\pi\) |
−0.0994600 | + | 0.995042i | \(0.531712\pi\) | |||||||
\(272\) | 3.66041 | 0.221945 | ||||||||
\(273\) | −4.44689 | − | 7.63679i | −0.269138 | − | 0.462200i | ||||
\(274\) | 0.527465i | 0.0318653i | ||||||||
\(275\) | −4.63487 | + | 1.32766i | −0.279493 | + | 0.0800611i | ||||
\(276\) | 7.26704 | + | 1.50536i | 0.437425 | + | 0.0906117i | ||||
\(277\) | 3.05634 | − | 1.76458i | 0.183637 | − | 0.106023i | −0.405363 | − | 0.914156i | \(-0.632855\pi\) |
0.589001 | + | 0.808133i | \(0.299522\pi\) | |||||||
\(278\) | 2.45424 | + | 1.41696i | 0.147196 | + | 0.0849834i | ||||
\(279\) | 3.52651 | + | 30.5086i | 0.211127 | + | 1.82650i | ||||
\(280\) | −1.02870 | − | 4.87505i | −0.0614766 | − | 0.291340i | ||||
\(281\) | −0.0460619 | −0.00274782 | −0.00137391 | − | 0.999999i | \(-0.500437\pi\) | ||||
−0.00137391 | + | 0.999999i | \(0.500437\pi\) | |||||||
\(282\) | 2.78294 | + | 8.41639i | 0.165721 | + | 0.501189i | ||||
\(283\) | 17.9928 | − | 10.3882i | 1.06956 | − | 0.617513i | 0.141501 | − | 0.989938i | \(-0.454807\pi\) |
0.928062 | + | 0.372425i | \(0.121474\pi\) | |||||||
\(284\) | −8.46502 | + | 4.88728i | −0.502307 | + | 0.290007i | ||||
\(285\) | −9.58541 | + | 3.16948i | −0.567791 | + | 0.187744i | ||||
\(286\) | 4.44419 | − | 4.59960i | 0.262791 | − | 0.271980i | ||||
\(287\) | 11.2350 | + | 12.5148i | 0.663179 | + | 0.738727i | ||||
\(288\) | 0.344479 | + | 2.98016i | 0.0202986 | + | 0.175607i | ||||
\(289\) | 1.80069 | − | 3.11888i | 0.105923 | − | 0.183464i | ||||
\(290\) | −15.8138 | + | 9.13009i | −0.928617 | + | 0.536137i | ||||
\(291\) | −0.0105321 | + | 0.0508435i | −0.000617405 | + | 0.00298050i | ||||
\(292\) | −1.82066 | − | 1.05116i | −0.106546 | − | 0.0615144i | ||||
\(293\) | −4.89347 | −0.285879 | −0.142940 | − | 0.989731i | \(-0.545656\pi\) | ||||
−0.142940 | + | 0.989731i | \(0.545656\pi\) | |||||||
\(294\) | −8.99207 | + | 8.13282i | −0.524428 | + | 0.474315i | ||||
\(295\) | −20.6788 | −1.20397 | ||||||||
\(296\) | 4.15848 | − | 7.20269i | 0.241706 | − | 0.418648i | ||||
\(297\) | 11.2779 | + | 13.0311i | 0.654409 | + | 0.756141i | ||||
\(298\) | −6.58936 | − | 11.4131i | −0.381711 | − | 0.661144i | ||||
\(299\) | −4.13137 | + | 7.15574i | −0.238923 | + | 0.413827i | ||||
\(300\) | 1.87981 | + | 1.67504i | 0.108531 | + | 0.0967085i | ||||
\(301\) | −13.2912 | + | 11.9320i | −0.766093 | + | 0.687748i | ||||
\(302\) | − | 19.4497i | − | 1.11921i | ||||||
\(303\) | 11.1463 | − | 3.68559i | 0.640337 | − | 0.211731i | ||||
\(304\) | −2.68054 | + | 1.54761i | −0.153740 | + | 0.0887616i | ||||
\(305\) | −10.9406 | − | 18.9497i | −0.626459 | − | 1.08506i | ||||
\(306\) | −10.0776 | − | 4.36230i | −0.576098 | − | 0.249376i | ||||
\(307\) | − | 25.7355i | − | 1.46880i | −0.678715 | − | 0.734402i | \(-0.737463\pi\) | ||
0.678715 | − | 0.734402i | \(-0.262537\pi\) | |||||||
\(308\) | −7.43345 | − | 4.66303i | −0.423560 | − | 0.265701i | ||||
\(309\) | −16.6693 | − | 14.8534i | −0.948281 | − | 0.844982i | ||||
\(310\) | −16.6956 | − | 9.63924i | −0.948249 | − | 0.547472i | ||||
\(311\) | 2.38671 | − | 1.37797i | 0.135338 | − | 0.0781373i | −0.430802 | − | 0.902446i | \(-0.641769\pi\) |
0.566140 | + | 0.824309i | \(0.308436\pi\) | |||||||
\(312\) | −3.27070 | − | 0.677519i | −0.185167 | − | 0.0383570i | ||||
\(313\) | −6.72689 | + | 11.6513i | −0.380226 | + | 0.658571i | −0.991094 | − | 0.133161i | \(-0.957487\pi\) |
0.610868 | + | 0.791732i | \(0.290820\pi\) | |||||||
\(314\) | −2.10797 | −0.118959 | ||||||||
\(315\) | −2.97770 | + | 14.6476i | −0.167774 | + | 0.825299i | ||||
\(316\) | 11.2379i | 0.632182i | ||||||||
\(317\) | 4.97256 | + | 2.87091i | 0.279287 | + | 0.161246i | 0.633101 | − | 0.774070i | \(-0.281782\pi\) |
−0.353814 | + | 0.935316i | \(0.615115\pi\) | |||||||
\(318\) | −4.05692 | − | 0.840383i | −0.227501 | − | 0.0471263i | ||||
\(319\) | −7.78861 | + | 31.2023i | −0.436079 | + | 1.74699i | ||||
\(320\) | −1.63087 | − | 0.941585i | −0.0911686 | − | 0.0526362i | ||||
\(321\) | 5.47899 | + | 4.88215i | 0.305807 | + | 0.272495i | ||||
\(322\) | 10.7762 | + | 3.51902i | 0.600536 | + | 0.196107i | ||||
\(323\) | − | 11.3298i | − | 0.630406i | ||||||
\(324\) | 2.60321 | − | 8.61529i | 0.144623 | − | 0.478627i | ||||
\(325\) | −2.42772 | + | 1.40165i | −0.134666 | + | 0.0777494i | ||||
\(326\) | 1.59864 | + | 2.76892i | 0.0885403 | + | 0.153356i | ||||
\(327\) | −0.956466 | − | 2.89263i | −0.0528927 | − | 0.159963i | ||||
\(328\) | 6.35661 | 0.350985 | ||||||||
\(329\) | 2.79573 | + | 13.2491i | 0.154134 | + | 0.730446i | ||||
\(330\) | −10.7878 | + | 0.807584i | −0.593849 | + | 0.0444560i | ||||
\(331\) | 4.29871 | − | 7.44558i | 0.236278 | − | 0.409246i | −0.723365 | − | 0.690466i | \(-0.757406\pi\) |
0.959643 | + | 0.281220i | \(0.0907389\pi\) | |||||||
\(332\) | −1.17259 | − | 2.03099i | −0.0643543 | − | 0.111465i | ||||
\(333\) | −20.0326 | + | 14.8741i | −1.09778 | + | 0.815095i | ||||
\(334\) | 1.11780 | − | 1.93609i | 0.0611633 | − | 0.105938i | ||||
\(335\) | − | 20.9683i | − | 1.14562i | ||||||
\(336\) | 0.0169703 | + | 4.58254i | 0.000925807 | + | 0.249998i | ||||
\(337\) | − | 8.82385i | − | 0.480666i | −0.970691 | − | 0.240333i | \(-0.922743\pi\) | ||
0.970691 | − | 0.240333i | \(-0.0772566\pi\) | |||||||
\(338\) | −4.64058 | + | 8.03773i | −0.252415 | + | 0.437195i | ||||
\(339\) | 11.9555 | + | 2.47656i | 0.649332 | + | 0.134508i | ||||
\(340\) | 5.96967 | − | 3.44659i | 0.323751 | − | 0.186918i | ||||
\(341\) | −32.6403 | + | 9.34987i | −1.76757 | + | 0.506324i | ||||
\(342\) | 9.22424 | − | 1.06624i | 0.498790 | − | 0.0576556i | ||||
\(343\) | −15.0313 | + | 10.8194i | −0.811613 | + | 0.584195i | ||||
\(344\) | 6.75096i | 0.363988i | ||||||||
\(345\) | 13.2691 | − | 4.38750i | 0.714382 | − | 0.236215i | ||||
\(346\) | 6.02196 | + | 10.4303i | 0.323743 | + | 0.560739i | ||||
\(347\) | −9.43262 | − | 16.3378i | −0.506369 | − | 0.877058i | −0.999973 | − | 0.00737048i | \(-0.997654\pi\) |
0.493603 | − | 0.869687i | \(-0.335679\pi\) | |||||||
\(348\) | 15.9457 | − | 5.27256i | 0.854782 | − | 0.282639i | ||||
\(349\) | − | 5.90640i | − | 0.316162i | −0.987426 | − | 0.158081i | \(-0.949469\pi\) | ||
0.987426 | − | 0.158081i | \(-0.0505307\pi\) | |||||||
\(350\) | 2.56928 | + | 2.86197i | 0.137334 | + | 0.152979i | ||||
\(351\) | 8.19722 | + | 5.76316i | 0.437535 | + | 0.307614i | ||||
\(352\) | −3.18839 | + | 0.913319i | −0.169942 | + | 0.0486801i | ||||
\(353\) | −7.42132 | + | 4.28470i | −0.394997 | + | 0.228052i | −0.684323 | − | 0.729179i | \(-0.739902\pi\) |
0.289326 | + | 0.957231i | \(0.406569\pi\) | |||||||
\(354\) | 18.6240 | + | 3.85794i | 0.989856 | + | 0.205047i | ||||
\(355\) | −9.20359 | + | 15.9411i | −0.488476 | + | 0.846065i | ||||
\(356\) | − | 12.4185i | − | 0.658180i | ||||||
\(357\) | −14.5578 | − | 8.33321i | −0.770479 | − | 0.441040i | ||||
\(358\) | − | 1.06574i | − | 0.0563262i | ||||||
\(359\) | −14.6090 | + | 25.3035i | −0.771033 | + | 1.33547i | 0.165964 | + | 0.986132i | \(0.446927\pi\) |
−0.936997 | + | 0.349337i | \(0.886407\pi\) | |||||||
\(360\) | 3.36787 | + | 4.53590i | 0.177503 | + | 0.239063i | ||||
\(361\) | −4.70980 | − | 8.15762i | −0.247884 | − | 0.429348i | ||||
\(362\) | 2.94021 | − | 5.09260i | 0.154534 | − | 0.267661i | ||||
\(363\) | −12.1789 | + | 14.6517i | −0.639229 | + | 0.769016i | ||||
\(364\) | −4.85009 | − | 1.58381i | −0.254214 | − | 0.0830143i | ||||
\(365\) | −3.95902 | −0.207225 | ||||||||
\(366\) | 6.31814 | + | 19.1079i | 0.330254 | + | 0.998784i | ||||
\(367\) | 1.05133 | + | 1.82095i | 0.0548789 | + | 0.0950530i | 0.892160 | − | 0.451720i | \(-0.149189\pi\) |
−0.837281 | + | 0.546773i | \(0.815856\pi\) | |||||||
\(368\) | 3.71066 | − | 2.14235i | 0.193432 | − | 0.111678i | ||||
\(369\) | −17.5006 | − | 7.57549i | −0.911044 | − | 0.394364i | ||||
\(370\) | − | 15.6622i | − | 0.814241i | ||||||
\(371\) | −6.01597 | − | 1.96453i | −0.312333 | − | 0.101994i | ||||
\(372\) | 13.2383 | + | 11.7962i | 0.686374 | + | 0.611606i | ||||
\(373\) | 24.2451 | + | 13.9979i | 1.25536 | + | 0.724784i | 0.972169 | − | 0.234280i | \(-0.0752731\pi\) |
0.283193 | + | 0.959063i | \(0.408606\pi\) | |||||||
\(374\) | 2.94019 | − | 11.7788i | 0.152033 | − | 0.609067i | ||||
\(375\) | 20.6126 | + | 4.26987i | 1.06443 | + | 0.220495i | ||||
\(376\) | 4.43228 | + | 2.55898i | 0.228577 | + | 0.131969i | ||||
\(377\) | 18.6990i | 0.963048i | ||||||||
\(378\) | 5.41453 | − | 12.6366i | 0.278493 | − | 0.649955i | ||||
\(379\) | −15.4596 | −0.794105 | −0.397053 | − | 0.917796i | \(-0.629967\pi\) | ||||
−0.397053 | + | 0.917796i | \(0.629967\pi\) | |||||||
\(380\) | −2.91441 | + | 5.04791i | −0.149506 | + | 0.258953i | ||||
\(381\) | −21.2507 | − | 4.40204i | −1.08870 | − | 0.225523i | ||||
\(382\) | −13.1117 | + | 7.57002i | −0.670850 | + | 0.387316i | ||||
\(383\) | −2.54013 | − | 1.46654i | −0.129794 | − | 0.0749369i | 0.433697 | − | 0.901059i | \(-0.357209\pi\) |
−0.563491 | + | 0.826122i | \(0.690542\pi\) | |||||||
\(384\) | 1.29315 | + | 1.15228i | 0.0659908 | + | 0.0588023i | ||||
\(385\) | −16.5137 | − | 0.605587i | −0.841614 | − | 0.0308636i | ||||
\(386\) | 8.98082i | 0.457112i | ||||||||
\(387\) | 8.04547 | − | 18.5863i | 0.408974 | − | 0.944794i | ||||
\(388\) | 0.0149889 | + | 0.0259615i | 0.000760944 | + | 0.00131799i | ||||
\(389\) | 20.9725 | − | 12.1085i | 1.06335 | − | 0.613925i | 0.136993 | − | 0.990572i | \(-0.456256\pi\) |
0.926357 | + | 0.376647i | \(0.122923\pi\) | |||||||
\(390\) | −5.97204 | + | 1.97469i | −0.302406 | + | 0.0999924i | ||||
\(391\) | 15.6838i | 0.793163i | ||||||||
\(392\) | −0.752260 | + | 6.95946i | −0.0379949 | + | 0.351506i | ||||
\(393\) | 2.46803 | + | 2.19918i | 0.124496 | + | 0.110934i | ||||
\(394\) | −13.1565 | + | 22.7878i | −0.662817 | + | 1.14803i | ||||
\(395\) | 10.5815 | + | 18.3276i | 0.532411 | + | 0.922163i | ||||
\(396\) | 9.86651 | + | 1.28528i | 0.495811 | + | 0.0645879i | ||||
\(397\) | 7.83756 | − | 13.5750i | 0.393356 | − | 0.681312i | −0.599534 | − | 0.800349i | \(-0.704647\pi\) |
0.992890 | + | 0.119037i | \(0.0379808\pi\) | |||||||
\(398\) | 22.3739 | 1.12150 | ||||||||
\(399\) | 14.1840 | − | 0.0525269i | 0.710088 | − | 0.00262963i | ||||
\(400\) | 1.45367 | 0.0726834 | ||||||||
\(401\) | 11.1027 | + | 6.41014i | 0.554442 | + | 0.320107i | 0.750911 | − | 0.660403i | \(-0.229614\pi\) |
−0.196470 | + | 0.980510i | \(0.562948\pi\) | |||||||
\(402\) | −3.91194 | + | 18.8847i | −0.195110 | + | 0.941886i | ||||
\(403\) | −17.0969 | + | 9.87089i | −0.851656 | + | 0.491704i | ||||
\(404\) | 3.38899 | − | 5.86990i | 0.168608 | − | 0.292038i | ||||
\(405\) | −3.86653 | − | 16.5016i | −0.192129 | − | 0.819971i | ||||
\(406\) | 25.1018 | − | 5.29681i | 1.24578 | − | 0.262876i | ||||
\(407\) | −19.8372 | − | 19.1670i | −0.983294 | − | 0.950073i | ||||
\(408\) | −6.01949 | + | 1.99038i | −0.298009 | + | 0.0985387i | ||||
\(409\) | −26.5370 | + | 15.3212i | −1.31217 | + | 0.757583i | −0.982456 | − | 0.186497i | \(-0.940287\pi\) |
−0.329717 | + | 0.944080i | \(0.606953\pi\) | |||||||
\(410\) | 10.3668 | − | 5.98529i | 0.511981 | − | 0.295592i | ||||
\(411\) | −0.286814 | − | 0.867407i | −0.0141475 | − | 0.0427860i | ||||
\(412\) | −12.8904 | −0.635065 | ||||||||
\(413\) | 27.6174 | + | 9.01856i | 1.35896 | + | 0.443774i | ||||
\(414\) | −12.7691 | + | 1.47599i | −0.627566 | + | 0.0725410i | ||||
\(415\) | −3.82470 | − | 2.20819i | −0.187747 | − | 0.108396i | ||||
\(416\) | −1.67007 | + | 0.964214i | −0.0818818 | + | 0.0472745i | ||||
\(417\) | −4.80644 | − | 0.995646i | −0.235372 | − | 0.0487570i | ||||
\(418\) | 2.82692 | + | 9.86878i | 0.138269 | + | 0.482698i | ||||
\(419\) | 5.27534i | 0.257717i | 0.991663 | + | 0.128859i | \(0.0411313\pi\) | ||||
−0.991663 | + | 0.128859i | \(0.958869\pi\) | |||||||
\(420\) | 4.34253 | + | 7.45757i | 0.211894 | + | 0.363892i | ||||
\(421\) | −4.07368 | −0.198539 | −0.0992695 | − | 0.995061i | \(-0.531651\pi\) | ||||
−0.0992695 | + | 0.995061i | \(0.531651\pi\) | |||||||
\(422\) | 2.67782 | + | 1.54604i | 0.130354 | + | 0.0752599i | ||||
\(423\) | −9.15298 | − | 12.3274i | −0.445033 | − | 0.599378i | ||||
\(424\) | −2.07152 | + | 1.19599i | −0.100602 | + | 0.0580826i | ||||
\(425\) | −2.66051 | + | 4.60814i | −0.129054 | + | 0.223528i | ||||
\(426\) | 11.2631 | − | 12.6400i | 0.545698 | − | 0.612409i | ||||
\(427\) | 6.34719 | + | 30.0796i | 0.307162 | + | 1.45565i | ||||
\(428\) | 4.23693 | 0.204800 | ||||||||
\(429\) | −4.80733 | + | 9.98053i | −0.232100 | + | 0.481865i | ||||
\(430\) | 6.35661 | + | 11.0100i | 0.306543 | + | 0.530948i | ||||
\(431\) | 9.11020 | + | 15.7793i | 0.438823 | + | 0.760064i | 0.997599 | − | 0.0692548i | \(-0.0220622\pi\) |
−0.558776 | + | 0.829319i | \(0.688729\pi\) | |||||||
\(432\) | −2.18698 | − | 4.71350i | −0.105221 | − | 0.226779i | ||||
\(433\) | 37.1564 | 1.78562 | 0.892811 | − | 0.450431i | \(-0.148730\pi\) | ||||
0.892811 | + | 0.450431i | \(0.148730\pi\) | |||||||
\(434\) | 18.0938 | + | 20.1550i | 0.868530 | + | 0.967470i | ||||
\(435\) | 21.0409 | − | 23.6132i | 1.00884 | − | 1.13216i | ||||
\(436\) | −1.52333 | − | 0.879494i | −0.0729542 | − | 0.0421201i | ||||
\(437\) | −6.63105 | − | 11.4853i | −0.317206 | − | 0.549417i | ||||
\(438\) | 3.56562 | + | 0.738613i | 0.170372 | + | 0.0352923i | ||||
\(439\) | −32.2063 | − | 18.5943i | −1.53712 | − | 0.887459i | −0.999005 | − | 0.0445907i | \(-0.985802\pi\) |
−0.538119 | − | 0.842869i | \(-0.680865\pi\) | |||||||
\(440\) | −4.33990 | + | 4.49165i | −0.206897 | + | 0.214131i | ||||
\(441\) | 10.3650 | − | 18.2638i | 0.493572 | − | 0.869705i | ||||
\(442\) | − | 7.05884i | − | 0.335755i | ||||||
\(443\) | −5.90271 | − | 3.40793i | −0.280446 | − | 0.161916i | 0.353179 | − | 0.935556i | \(-0.385101\pi\) |
−0.633625 | + | 0.773640i | \(0.718434\pi\) | |||||||
\(444\) | −2.92202 | + | 14.1059i | −0.138673 | + | 0.669437i | ||||
\(445\) | −11.6931 | − | 20.2530i | −0.554306 | − | 0.960085i | ||||
\(446\) | −8.79309 | + | 15.2301i | −0.416365 | + | 0.721165i | ||||
\(447\) | 17.0421 | + | 15.1856i | 0.806062 | + | 0.718256i | ||||
\(448\) | 1.76745 | + | 1.96879i | 0.0835040 | + | 0.0930165i | ||||
\(449\) | 2.92958i | 0.138255i | 0.997608 | + | 0.0691277i | \(0.0220216\pi\) | ||||
−0.997608 | + | 0.0691277i | \(0.977978\pi\) | |||||||
\(450\) | −4.00214 | − | 1.73241i | −0.188663 | − | 0.0816666i | ||||
\(451\) | 5.10588 | − | 20.4549i | 0.240426 | − | 0.963182i | ||||
\(452\) | 6.10465 | − | 3.52452i | 0.287138 | − | 0.165779i | ||||
\(453\) | 10.5760 | + | 31.9847i | 0.496902 | + | 1.50277i | ||||
\(454\) | −5.83994 | −0.274082 | ||||||||
\(455\) | −9.40118 | + | 1.98377i | −0.440734 | + | 0.0930007i | ||||
\(456\) | 3.56658 | − | 4.00259i | 0.167020 | − | 0.187438i | ||||
\(457\) | −6.48607 | − | 3.74473i | −0.303406 | − | 0.175171i | 0.340566 | − | 0.940221i | \(-0.389381\pi\) |
−0.643972 | + | 0.765049i | \(0.722715\pi\) | |||||||
\(458\) | −9.77062 | − | 16.9232i | −0.456551 | − | 0.790770i | ||||
\(459\) | 18.9445 | + | 1.69395i | 0.884253 | + | 0.0790666i | ||||
\(460\) | 4.03441 | − | 6.98781i | 0.188105 | − | 0.325808i | ||||
\(461\) | −17.0494 | −0.794068 | −0.397034 | − | 0.917804i | \(-0.629960\pi\) | ||||
−0.397034 | + | 0.917804i | \(0.629960\pi\) | |||||||
\(462\) | 14.7597 | + | 3.62627i | 0.686686 | + | 0.168709i | ||||
\(463\) | −0.105850 | −0.00491928 | −0.00245964 | − | 0.999997i | \(-0.500783\pi\) | ||||
−0.00245964 | + | 0.999997i | \(0.500783\pi\) | |||||||
\(464\) | 4.84825 | − | 8.39742i | 0.225075 | − | 0.389841i | ||||
\(465\) | 32.6971 | + | 6.77315i | 1.51629 | + | 0.314098i | ||||
\(466\) | 7.60946 | + | 13.1800i | 0.352501 | + | 0.610550i | ||||
\(467\) | −0.545934 | − | 0.315195i | −0.0252628 | − | 0.0145855i | 0.487315 | − | 0.873226i | \(-0.337976\pi\) |
−0.512578 | + | 0.858641i | \(0.671310\pi\) | |||||||
\(468\) | 5.74702 | − | 0.664303i | 0.265656 | − | 0.0307074i | ||||
\(469\) | −9.14481 | + | 28.0040i | −0.422268 | + | 1.29311i | ||||
\(470\) | 9.63799 | 0.444567 | ||||||||
\(471\) | 3.46651 | − | 1.14623i | 0.159729 | − | 0.0528153i | ||||
\(472\) | 9.50971 | − | 5.49043i | 0.437720 | − | 0.252718i | ||||
\(473\) | 21.7239 | + | 5.42264i | 0.998864 | + | 0.249333i | ||||
\(474\) | −6.11072 | − | 18.4806i | −0.280675 | − | 0.848841i | ||||
\(475\) | − | 4.49942i | − | 0.206448i | ||||||
\(476\) | −9.47588 | + | 1.99954i | −0.434326 | + | 0.0916486i | ||||
\(477\) | 7.12850 | − | 0.823989i | 0.326391 | − | 0.0377279i | ||||
\(478\) | 3.90906 | − | 6.77068i | 0.178796 | − | 0.309684i | ||||
\(479\) | −17.3889 | − | 30.1185i | −0.794519 | − | 1.37615i | −0.923144 | − | 0.384454i | \(-0.874390\pi\) |
0.128625 | − | 0.991693i | \(-0.458944\pi\) | |||||||
\(480\) | 3.19394 | + | 0.661619i | 0.145783 | + | 0.0301986i | ||||
\(481\) | −13.8899 | − | 8.01932i | −0.633323 | − | 0.365649i | ||||
\(482\) | − | 19.8468i | − | 0.903996i | ||||||
\(483\) | −19.6348 | + | 0.0727128i | −0.893416 | + | 0.00330855i | ||||
\(484\) | 0.377916 | + | 10.9935i | 0.0171780 | + | 0.499705i | ||||
\(485\) | 0.0488899 | + | 0.0282266i | 0.00221997 | + | 0.00128170i | ||||
\(486\) | 0.403712 | + | 15.5832i | 0.0183127 | + | 0.706870i | ||||
\(487\) | −10.2036 | − | 17.6732i | −0.462371 | − | 0.800850i | 0.536708 | − | 0.843768i | \(-0.319668\pi\) |
−0.999079 | + | 0.0429182i | \(0.986335\pi\) | |||||||
\(488\) | 10.0627 | + | 5.80969i | 0.455516 | + | 0.262992i | ||||
\(489\) | −4.13456 | − | 3.68417i | −0.186971 | − | 0.166604i | ||||
\(490\) | 5.32609 | + | 12.0583i | 0.240608 | + | 0.544739i | ||||
\(491\) | 32.5970 | 1.47108 | 0.735542 | − | 0.677480i | \(-0.236928\pi\) | ||||
0.735542 | + | 0.677480i | \(0.236928\pi\) | |||||||
\(492\) | −10.4533 | + | 3.45646i | −0.471273 | + | 0.155829i | ||||
\(493\) | 17.7466 | + | 30.7380i | 0.799267 | + | 1.38437i | ||||
\(494\) | 2.98445 | + | 5.16923i | 0.134277 | + | 0.232574i | ||||
\(495\) | 17.3012 | − | 7.19403i | 0.777633 | − | 0.323347i | ||||
\(496\) | 10.2372 | 0.459666 | ||||||||
\(497\) | 19.2441 | − | 17.2760i | 0.863214 | − | 0.774936i | ||||
\(498\) | 3.03268 | + | 2.70232i | 0.135897 | + | 0.121094i | ||||
\(499\) | −4.61628 | + | 7.99563i | −0.206653 | + | 0.357934i | −0.950658 | − | 0.310240i | \(-0.899590\pi\) |
0.744005 | + | 0.668174i | \(0.232924\pi\) | |||||||
\(500\) | 10.5251 | − | 6.07668i | 0.470698 | − | 0.271757i | ||||
\(501\) | −0.785439 | + | 3.79168i | −0.0350908 | + | 0.169400i | ||||
\(502\) | −7.38662 | − | 4.26467i | −0.329681 | − | 0.190341i | ||||
\(503\) | −19.5451 | −0.871472 | −0.435736 | − | 0.900074i | \(-0.643512\pi\) | ||||
−0.435736 | + | 0.900074i | \(0.643512\pi\) | |||||||
\(504\) | −2.51971 | − | 7.52669i | −0.112237 | − | 0.335265i | ||||
\(505\) | − | 12.7641i | − | 0.567994i | ||||||
\(506\) | −3.91330 | − | 13.6613i | −0.173967 | − | 0.607320i | ||||
\(507\) | 3.26078 | − | 15.7413i | 0.144816 | − | 0.699094i | ||||
\(508\) | −10.8509 | + | 6.26478i | −0.481431 | + | 0.277954i | ||||
\(509\) | 14.9595 | + | 8.63689i | 0.663069 | + | 0.382823i | 0.793446 | − | 0.608641i | \(-0.208285\pi\) |
−0.130376 | + | 0.991465i | \(0.541618\pi\) | |||||||
\(510\) | −7.94291 | + | 8.91393i | −0.351718 | + | 0.394715i | ||||
\(511\) | 5.28743 | + | 1.72663i | 0.233902 | + | 0.0763816i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −14.5893 | + | 6.76918i | −0.644135 | + | 0.298867i | ||||
\(514\) | −4.21369 | + | 2.43278i | −0.185858 | + | 0.107305i | ||||
\(515\) | −21.0226 | + | 12.1374i | −0.926368 | + | 0.534839i | ||||
\(516\) | −3.67090 | − | 11.1019i | −0.161602 | − | 0.488732i | ||||
\(517\) | 11.7947 | − | 12.2071i | 0.518730 | − | 0.536868i | ||||
\(518\) | −6.83069 | + | 20.9175i | −0.300123 | + | 0.919064i | ||||
\(519\) | −15.5746 | − | 13.8780i | −0.683650 | − | 0.609178i | ||||
\(520\) | −1.81578 | + | 3.14502i | −0.0796272 | + | 0.137918i | ||||
\(521\) | 36.9007 | − | 21.3046i | 1.61665 | − | 0.933373i | 0.628871 | − | 0.777509i | \(-0.283517\pi\) |
0.987779 | − | 0.155864i | \(-0.0498162\pi\) | |||||||
\(522\) | −23.3555 | + | 17.3413i | −1.02224 | + | 0.759008i | ||||
\(523\) | 22.0386 | + | 12.7240i | 0.963679 | + | 0.556381i | 0.897303 | − | 0.441414i | \(-0.145523\pi\) |
0.0663759 | + | 0.997795i | \(0.478856\pi\) | |||||||
\(524\) | 1.90854 | 0.0833749 | ||||||||
\(525\) | −5.78136 | − | 3.30939i | −0.252319 | − | 0.144433i | ||||
\(526\) | 8.68651 | 0.378750 | ||||||||
\(527\) | −18.7363 | + | 32.4522i | −0.816165 | + | 1.41364i | ||||
\(528\) | 4.74663 | − | 3.23566i | 0.206571 | − | 0.140814i | ||||
\(529\) | −2.32066 | − | 4.01950i | −0.100898 | − | 0.174761i | ||||
\(530\) | −2.25226 | + | 3.90103i | −0.0978319 | + | 0.169450i | ||||
\(531\) | −32.7247 | + | 3.78268i | −1.42013 | + | 0.164154i | ||||
\(532\) | 6.09384 | − | 5.47064i | 0.264201 | − | 0.237182i | ||||
\(533\) | − | 12.2583i | − | 0.530964i | ||||||
\(534\) | 6.75268 | + | 20.4220i | 0.292217 | + | 0.883748i | ||||
\(535\) | 6.90990 | − | 3.98943i | 0.298741 | − | 0.172478i | ||||
\(536\) | 5.56729 | + | 9.64283i | 0.240470 | + | 0.416507i | ||||
\(537\) | 0.579506 | + | 1.75259i | 0.0250075 | + | 0.0756300i | ||||
\(538\) | − | 5.29279i | − | 0.228188i | ||||||
\(539\) | 21.7905 | + | 8.01080i | 0.938584 | + | 0.345050i | ||||
\(540\) | −8.00485 | − | 5.62791i | −0.344474 | − | 0.242186i | ||||
\(541\) | 8.03990 | + | 4.64184i | 0.345662 | + | 0.199568i | 0.662773 | − | 0.748820i | \(-0.269379\pi\) |
−0.317111 | + | 0.948388i | \(0.602713\pi\) | |||||||
\(542\) | −11.7299 | + | 6.77227i | −0.503843 | + | 0.290894i | ||||
\(543\) | −2.06598 | + | 9.97346i | −0.0886599 | + | 0.428002i | ||||
\(544\) | −1.83021 | + | 3.17001i | −0.0784695 | + | 0.135913i | ||||
\(545\) | −3.31248 | −0.141891 | ||||||||
\(546\) | 8.83710 | − | 0.0327260i | 0.378193 | − | 0.00140054i | ||||
\(547\) | 24.0593i | 1.02870i | 0.857580 | + | 0.514351i | \(0.171967\pi\) | ||||
−0.857580 | + | 0.514351i | \(0.828033\pi\) | |||||||
\(548\) | −0.456798 | − | 0.263732i | −0.0195134 | − | 0.0112661i | ||||
\(549\) | −20.7802 | − | 27.9870i | −0.886875 | − | 1.19446i | ||||
\(550\) | 1.16764 | − | 4.67774i | 0.0497885 | − | 0.199460i | ||||
\(551\) | −25.9919 | − | 15.0064i | −1.10729 | − | 0.639295i | ||||
\(552\) | −4.93720 | + | 5.54077i | −0.210141 | + | 0.235831i | ||||
\(553\) | −6.13882 | − | 29.0921i | −0.261049 | − | 1.23712i | ||||
\(554\) | 3.52915i | 0.149939i | ||||||||
\(555\) | 8.51649 | + | 25.7563i | 0.361505 | + | 1.09329i | ||||
\(556\) | −2.45424 | + | 1.41696i | −0.104083 | + | 0.0600923i | ||||
\(557\) | −0.991345 | − | 1.71706i | −0.0420046 | − | 0.0727542i | 0.844259 | − | 0.535936i | \(-0.180041\pi\) |
−0.886263 | + | 0.463182i | \(0.846708\pi\) | |||||||
\(558\) | −28.1845 | − | 12.2002i | −1.19314 | − | 0.516477i | ||||
\(559\) | 13.0187 | 0.550634 | ||||||||
\(560\) | 4.73627 | + | 1.54664i | 0.200144 | + | 0.0653576i | ||||
\(561\) | 1.56974 | + | 20.9688i | 0.0662746 | + | 0.885303i | ||||
\(562\) | 0.0230310 | − | 0.0398908i | 0.000971503 | − | 0.00168269i | ||||
\(563\) | 8.74927 | + | 15.1542i | 0.368738 | + | 0.638672i | 0.989368 | − | 0.145431i | \(-0.0464567\pi\) |
−0.620631 | + | 0.784103i | \(0.713123\pi\) | |||||||
\(564\) | −8.68028 | − | 1.79810i | −0.365506 | − | 0.0757139i | ||||
\(565\) | 6.63727 | − | 11.4961i | 0.279232 | − | 0.483644i | ||||
\(566\) | 20.7763i | 0.873295i | ||||||||
\(567\) | −2.03285 | + | 23.7248i | −0.0853719 | + | 0.996349i | ||||
\(568\) | − | 9.77457i | − | 0.410132i | ||||||
\(569\) | 17.2132 | − | 29.8142i | 0.721616 | − | 1.24988i | −0.238735 | − | 0.971085i | \(-0.576733\pi\) |
0.960352 | − | 0.278792i | \(-0.0899339\pi\) | |||||||
\(570\) | 2.04786 | − | 9.88595i | 0.0857753 | − | 0.414077i | ||||
\(571\) | −38.1519 | + | 22.0270i | −1.59661 | + | 0.921802i | −0.604473 | + | 0.796625i | \(0.706616\pi\) |
−0.992134 | + | 0.125177i | \(0.960050\pi\) | |||||||
\(572\) | 1.76127 | + | 6.14858i | 0.0736423 | + | 0.257085i | ||||
\(573\) | 17.4456 | − | 19.5783i | 0.728802 | − | 0.817897i | ||||
\(574\) | −16.4556 | + | 3.47236i | −0.686845 | + | 0.144933i | ||||
\(575\) | 6.22854i | 0.259748i | ||||||||
\(576\) | −2.75313 | − | 1.19175i | −0.114714 | − | 0.0496563i | ||||
\(577\) | −8.80997 | − | 15.2593i | −0.366764 | − | 0.635254i | 0.622294 | − | 0.782784i | \(-0.286201\pi\) |
−0.989058 | + | 0.147530i | \(0.952868\pi\) | |||||||
\(578\) | 1.80069 | + | 3.11888i | 0.0748987 | + | 0.129728i | ||||
\(579\) | −4.88340 | − | 14.7688i | −0.202947 | − | 0.613771i | ||||
\(580\) | − | 18.2602i | − | 0.758213i | ||||||
\(581\) | 4.14499 | + | 4.61717i | 0.171963 | + | 0.191553i | ||||
\(582\) | −0.0387657 | − | 0.0345429i | −0.00160689 | − | 0.00143185i | ||||
\(583\) | 2.18465 | + | 7.62660i | 0.0904788 | + | 0.315861i | ||||
\(584\) | 1.82066 | − | 1.05116i | 0.0753395 | − | 0.0434973i | ||||
\(585\) | 8.74716 | − | 6.49470i | 0.361650 | − | 0.268523i | ||||
\(586\) | 2.44673 | − | 4.23787i | 0.101074 | − | 0.175065i | ||||
\(587\) | − | 23.7907i | − | 0.981945i | −0.871175 | − | 0.490973i | \(-0.836641\pi\) | ||
0.871175 | − | 0.490973i | \(-0.163359\pi\) | |||||||
\(588\) | −2.54719 | − | 11.8538i | −0.105044 | − | 0.488841i | ||||
\(589\) | − | 31.6865i | − | 1.30562i | ||||||
\(590\) | 10.3394 | − | 17.9084i | 0.425667 | − | 0.737277i | ||||
\(591\) | 9.24465 | − | 44.6282i | 0.380274 | − | 1.83576i | ||||
\(592\) | 4.15848 | + | 7.20269i | 0.170912 | + | 0.296029i | ||||
\(593\) | 15.9838 | − | 27.6848i | 0.656377 | − | 1.13688i | −0.325170 | − | 0.945656i | \(-0.605421\pi\) |
0.981547 | − | 0.191223i | \(-0.0612452\pi\) | |||||||
\(594\) | −16.9242 | + | 3.25138i | −0.694408 | + | 0.133406i | ||||
\(595\) | −13.5712 | + | 12.1833i | −0.556366 | + | 0.499468i | ||||
\(596\) | 13.1787 | 0.539821 | ||||||||
\(597\) | −36.7936 | + | 12.1660i | −1.50586 | + | 0.497923i | ||||
\(598\) | −4.13137 | − | 7.15574i | −0.168944 | − | 0.292620i | ||||
\(599\) | −29.5373 | + | 17.0534i | −1.20686 | + | 0.696782i | −0.962072 | − | 0.272794i | \(-0.912052\pi\) |
−0.244790 | + | 0.969576i | \(0.578719\pi\) | |||||||
\(600\) | −2.39053 | + | 0.790445i | −0.0975931 | + | 0.0322698i | ||||
\(601\) | − | 6.42758i | − | 0.262186i | −0.991370 | − | 0.131093i | \(-0.958151\pi\) | ||
0.991370 | − | 0.131093i | \(-0.0418487\pi\) | |||||||
\(602\) | −3.68778 | − | 17.4765i | −0.150303 | − | 0.712290i | ||||
\(603\) | −3.83563 | − | 33.1828i | −0.156199 | − | 1.35131i | ||||
\(604\) | 16.8439 | + | 9.72486i | 0.685370 | + | 0.395699i | ||||
\(605\) | 10.9677 | + | 17.5732i | 0.445899 | + | 0.714451i | ||||
\(606\) | −2.38132 | + | 11.4957i | −0.0967347 | + | 0.466983i | ||||
\(607\) | 37.8030 | + | 21.8256i | 1.53438 | + | 0.885872i | 0.999153 | + | 0.0411611i | \(0.0131057\pi\) |
0.535223 | + | 0.844711i | \(0.320228\pi\) | |||||||
\(608\) | − | 3.09522i | − | 0.125528i | ||||||
\(609\) | −38.3993 | + | 22.3598i | −1.55602 | + | 0.906067i | ||||
\(610\) | 21.8813 | 0.885946 | ||||||||
\(611\) | 4.93480 | − | 8.54733i | 0.199641 | − | 0.345788i | ||||
\(612\) | 8.81666 | − | 6.54631i | 0.356392 | − | 0.264619i | ||||
\(613\) | 28.9843 | − | 16.7341i | 1.17067 | − | 0.675884i | 0.216829 | − | 0.976210i | \(-0.430428\pi\) |
0.953837 | + | 0.300325i | \(0.0970951\pi\) | |||||||
\(614\) | 22.2876 | + | 12.8678i | 0.899455 | + | 0.519301i | ||||
\(615\) | −13.7935 | + | 15.4798i | −0.556208 | + | 0.624204i | ||||
\(616\) | 7.75503 | − | 4.10604i | 0.312459 | − | 0.165437i | ||||
\(617\) | 38.2908i | 1.54153i | 0.637119 | + | 0.770766i | \(0.280126\pi\) | ||||
−0.637119 | + | 0.770766i | \(0.719874\pi\) | |||||||
\(618\) | 21.1981 | − | 7.00928i | 0.852712 | − | 0.281955i | ||||
\(619\) | 0.394181 | + | 0.682741i | 0.0158435 | + | 0.0274417i | 0.873838 | − | 0.486216i | \(-0.161623\pi\) |
−0.857995 | + | 0.513658i | \(0.828290\pi\) | |||||||
\(620\) | 16.6956 | − | 9.63924i | 0.670513 | − | 0.387121i | ||||
\(621\) | 20.1960 | − | 9.37055i | 0.810436 | − | 0.376027i | ||||
\(622\) | 2.75593i | 0.110503i | ||||||||
\(623\) | 6.78373 | + | 32.1484i | 0.271785 | + | 1.28800i | ||||
\(624\) | 2.22210 | − | 2.49375i | 0.0889551 | − | 0.0998298i | ||||
\(625\) | 7.80925 | − | 13.5260i | 0.312370 | − | 0.541041i | ||||
\(626\) | −6.72689 | − | 11.6513i | −0.268860 | − | 0.465680i | ||||
\(627\) | −10.0151 | − | 14.6919i | −0.399963 | − | 0.586737i | ||||
\(628\) | 1.05398 | − | 1.82555i | 0.0420585 | − | 0.0728474i | ||||
\(629\) | −30.4435 | −1.21386 | ||||||||
\(630\) | −11.1963 | − | 9.90256i | −0.446073 | − | 0.394527i | ||||
\(631\) | −29.1733 | −1.16137 | −0.580686 | − | 0.814128i | \(-0.697215\pi\) | ||||
−0.580686 | + | 0.814128i | \(0.697215\pi\) | |||||||
\(632\) | −9.73232 | − | 5.61896i | −0.387131 | − | 0.223510i | ||||
\(633\) | −5.24430 | − | 1.08635i | −0.208442 | − | 0.0431784i | ||||
\(634\) | −4.97256 | + | 2.87091i | −0.197486 | + | 0.114018i | ||||
\(635\) | −11.7976 | + | 20.4341i | −0.468175 | + | 0.810903i | ||||
\(636\) | 2.75625 | − | 3.09320i | 0.109292 | − | 0.122653i | ||||
\(637\) | 13.4208 | + | 1.45068i | 0.531752 | + | 0.0574780i | ||||
\(638\) | −23.1277 | − | 22.3463i | −0.915633 | − | 0.884698i | ||||
\(639\) | −11.6488 | + | 26.9107i | −0.460821 | + | 1.06457i | ||||
\(640\) | 1.63087 | − | 0.941585i | 0.0644659 | − | 0.0372194i | ||||
\(641\) | −40.2975 | + | 23.2658i | −1.59166 | + | 0.918943i | −0.598633 | + | 0.801024i | \(0.704289\pi\) |
−0.993023 | + | 0.117919i | \(0.962378\pi\) | |||||||
\(642\) | −6.96756 | + | 2.30387i | −0.274988 | + | 0.0909265i | ||||
\(643\) | 20.8634 | 0.822772 | 0.411386 | − | 0.911461i | \(-0.365045\pi\) | ||||
0.411386 | + | 0.911461i | \(0.365045\pi\) | |||||||
\(644\) | −8.43568 | + | 7.57299i | −0.332412 | + | 0.298417i | ||||
\(645\) | −16.4401 | − | 14.6492i | −0.647329 | − | 0.576814i | ||||
\(646\) | 9.81189 | + | 5.66489i | 0.386043 | + | 0.222882i | ||||
\(647\) | −15.0854 | + | 8.70958i | −0.593069 | + | 0.342409i | −0.766310 | − | 0.642471i | \(-0.777909\pi\) |
0.173241 | + | 0.984879i | \(0.444576\pi\) | |||||||
\(648\) | 6.15946 | + | 6.56209i | 0.241966 | + | 0.257783i | ||||
\(649\) | −10.0290 | − | 35.0113i | −0.393674 | − | 1.37431i | ||||
\(650\) | − | 2.80329i | − | 0.109954i | ||||||
\(651\) | −40.7144 | − | 23.3059i | −1.59572 | − | 0.913428i | ||||
\(652\) | −3.19727 | −0.125215 | ||||||||
\(653\) | −33.2503 | − | 19.1970i | −1.30118 | − | 0.751239i | −0.320576 | − | 0.947223i | \(-0.603877\pi\) |
−0.980607 | + | 0.195984i | \(0.937210\pi\) | |||||||
\(654\) | 2.98332 | + | 0.617990i | 0.116657 | + | 0.0241653i | ||||
\(655\) | 3.11258 | − | 1.79705i | 0.121619 | − | 0.0702166i | ||||
\(656\) | −3.17830 | + | 5.50499i | −0.124092 | + | 0.214934i | ||||
\(657\) | −6.26524 | + | 0.724204i | −0.244430 | + | 0.0282539i | ||||
\(658\) | −12.8719 | − | 4.20337i | −0.501799 | − | 0.163864i | ||||
\(659\) | −26.8196 | −1.04474 | −0.522372 | − | 0.852718i | \(-0.674953\pi\) | ||||
−0.522372 | + | 0.852718i | \(0.674953\pi\) | |||||||
\(660\) | 4.69451 | − | 9.74631i | 0.182734 | − | 0.379374i | ||||
\(661\) | 8.71664 | + | 15.0977i | 0.339038 | + | 0.587231i | 0.984252 | − | 0.176771i | \(-0.0565652\pi\) |
−0.645214 | + | 0.764002i | \(0.723232\pi\) | |||||||
\(662\) | 4.29871 | + | 7.44558i | 0.167074 | + | 0.289381i | ||||
\(663\) | 3.83831 | + | 11.6081i | 0.149068 | + | 0.450823i | ||||
\(664\) | 2.34518 | 0.0910108 | ||||||||
\(665\) | 4.78720 | − | 14.6598i | 0.185640 | − | 0.568482i | ||||
\(666\) | −2.86501 | − | 24.7858i | −0.111017 | − | 0.960431i | ||||
\(667\) | 35.9805 | + | 20.7733i | 1.39317 | + | 0.804346i | ||||
\(668\) | 1.11780 | + | 1.93609i | 0.0432490 | + | 0.0749095i | ||||
\(669\) | 6.17860 | − | 29.8269i | 0.238878 | − | 1.15318i | ||||
\(670\) | 18.1591 | + | 10.4842i | 0.701547 | + | 0.405039i | ||||
\(671\) | 26.7776 | − | 27.7140i | 1.03374 | − | 1.06989i | ||||
\(672\) | −3.97708 | − | 2.27658i | −0.153419 | − | 0.0878208i | ||||
\(673\) | 48.1928i | 1.85770i | 0.370460 | + | 0.928849i | \(0.379200\pi\) | ||||
−0.370460 | + | 0.928849i | \(0.620800\pi\) | |||||||
\(674\) | 7.64168 | + | 4.41192i | 0.294346 | + | 0.169941i | ||||
\(675\) | 7.52347 | + | 0.672720i | 0.289578 | + | 0.0258930i | ||||
\(676\) | −4.64058 | − | 8.03773i | −0.178484 | − | 0.309143i | ||||
\(677\) | −1.34824 | + | 2.33522i | −0.0518171 | + | 0.0897499i | −0.890771 | − | 0.454453i | \(-0.849835\pi\) |
0.838953 | + | 0.544203i | \(0.183168\pi\) | |||||||
\(678\) | −8.12250 | + | 9.11547i | −0.311943 | + | 0.350078i | ||||
\(679\) | −0.0529840 | − | 0.0590198i | −0.00203334 | − | 0.00226497i | ||||
\(680\) | 6.89318i | 0.264342i | ||||||||
\(681\) | 9.60369 | − | 3.17552i | 0.368014 | − | 0.121686i | ||||
\(682\) | 8.22295 | − | 32.9423i | 0.314873 | − | 1.26143i | ||||
\(683\) | −20.6454 | + | 11.9196i | −0.789973 | + | 0.456091i | −0.839953 | − | 0.542659i | \(-0.817418\pi\) |
0.0499797 | + | 0.998750i | \(0.484084\pi\) | |||||||
\(684\) | −3.68873 | + | 8.52155i | −0.141042 | + | 0.325830i | ||||
\(685\) | −0.993306 | −0.0379523 | ||||||||
\(686\) | −1.85426 | − | 18.4272i | −0.0707961 | − | 0.703554i | ||||
\(687\) | 25.2698 | + | 22.5171i | 0.964102 | + | 0.859080i | ||||
\(688\) | −5.84651 | − | 3.37548i | −0.222896 | − | 0.128689i | ||||
\(689\) | 2.30639 | + | 3.99478i | 0.0878663 | + | 0.152189i | ||||
\(690\) | −2.83484 | + | 13.6851i | −0.107921 | + | 0.520982i | ||||
\(691\) | 19.4649 | − | 33.7142i | 0.740479 | − | 1.28255i | −0.211799 | − | 0.977313i | \(-0.567932\pi\) |
0.952278 | − | 0.305234i | \(-0.0987345\pi\) | |||||||
\(692\) | −12.0439 | −0.457841 | ||||||||
\(693\) | −26.2440 | + | 2.06241i | −0.996926 | + | 0.0783443i | ||||
\(694\) | 18.8652 | 0.716115 | ||||||||
\(695\) | −2.66837 | + | 4.62175i | −0.101217 | + | 0.175313i | ||||
\(696\) | −3.40670 | + | 16.4457i | −0.129131 | + | 0.623373i | ||||
\(697\) | −11.6339 | − | 20.1505i | −0.440666 | − | 0.763255i | ||||
\(698\) | 5.11509 | + | 2.95320i | 0.193609 | + | 0.111780i | ||||
\(699\) | −19.6804 | − | 17.5365i | −0.744379 | − | 0.663292i | ||||
\(700\) | −3.76318 | + | 0.794080i | −0.142235 | + | 0.0300134i | ||||
\(701\) | −34.2114 | −1.29215 | −0.646073 | − | 0.763275i | \(-0.723590\pi\) | ||||
−0.646073 | + | 0.763275i | \(0.723590\pi\) | |||||||
\(702\) | −9.08965 | + | 4.21743i | −0.343067 | + | 0.159177i | ||||
\(703\) | 22.2939 | − | 12.8714i | 0.840831 | − | 0.485454i | ||||
\(704\) | 0.803239 | − | 3.21789i | 0.0302732 | − | 0.121279i | ||||
\(705\) | −15.8495 | + | 5.24074i | −0.596927 | + | 0.197378i | ||||
\(706\) | − | 8.56941i | − | 0.322514i | ||||||
\(707\) | −5.56674 | + | 17.0469i | −0.209359 | + | 0.641116i | ||||
\(708\) | −12.6531 | + | 14.1999i | −0.475532 | + | 0.533666i | ||||
\(709\) | −13.2642 | + | 22.9743i | −0.498148 | + | 0.862817i | −0.999998 | − | 0.00213754i | \(-0.999320\pi\) |
0.501850 | + | 0.864955i | \(0.332653\pi\) | |||||||
\(710\) | −9.20359 | − | 15.9411i | −0.345404 | − | 0.598258i | ||||
\(711\) | 20.0980 | + | 27.0682i | 0.753732 | + | 1.01514i | ||||
\(712\) | 10.7547 | + | 6.20926i | 0.403051 | + | 0.232702i | ||||
\(713\) | 43.8635i | 1.64270i | ||||||||
\(714\) | 14.4957 | − | 8.44080i | 0.542486 | − | 0.315889i | ||||
\(715\) | 8.66182 | + | 8.36918i | 0.323934 | + | 0.312989i | ||||
\(716\) | 0.922959 | + | 0.532870i | 0.0344926 | + | 0.0199143i | ||||
\(717\) | −2.74676 | + | 13.2599i | −0.102579 | + | 0.495199i | ||||
\(718\) | −14.6090 | − | 25.3035i | −0.545203 | − | 0.944319i | ||||
\(719\) | −37.2542 | − | 21.5087i | −1.38935 | − | 0.802139i | −0.396105 | − | 0.918205i | \(-0.629638\pi\) |
−0.993242 | + | 0.116066i | \(0.962972\pi\) | |||||||
\(720\) | −5.61214 | + | 0.648713i | −0.209152 | + | 0.0241761i | ||||
\(721\) | 33.3700 | − | 7.04152i | 1.24276 | − | 0.262240i | ||||
\(722\) | 9.41961 | 0.350561 | ||||||||
\(723\) | 10.7919 | + | 32.6377i | 0.401354 | + | 1.21381i | ||||
\(724\) | 2.94021 | + | 5.09260i | 0.109272 | + | 0.189265i | ||||
\(725\) | 7.04775 | + | 12.2071i | 0.261747 | + | 0.453359i | ||||
\(726\) | −6.59930 | − | 17.8731i | −0.244923 | − | 0.663335i | ||||
\(727\) | 2.36652 | 0.0877693 | 0.0438847 | − | 0.999037i | \(-0.486027\pi\) | ||||
0.0438847 | + | 0.999037i | \(0.486027\pi\) | |||||||
\(728\) | 3.79667 | − | 3.40839i | 0.140714 | − | 0.126323i | ||||
\(729\) | −9.13742 | − | 25.4068i | −0.338423 | − | 0.940994i | ||||
\(730\) | 1.97951 | − | 3.42861i | 0.0732650 | − | 0.126899i | ||||
\(731\) | 21.4006 | − | 12.3557i | 0.791531 | − | 0.456991i | ||||
\(732\) | −19.7070 | − | 4.08226i | −0.728390 | − | 0.150885i | ||||
\(733\) | 25.4862 | + | 14.7145i | 0.941355 | + | 0.543491i | 0.890385 | − | 0.455209i | \(-0.150435\pi\) |
0.0509699 | + | 0.998700i | \(0.483769\pi\) | |||||||
\(734\) | −2.10266 | −0.0776104 | ||||||||
\(735\) | −15.3155 | − | 16.9336i | −0.564920 | − | 0.624605i | ||||
\(736\) | 4.28470i | 0.157936i | ||||||||
\(737\) | 35.5014 | − | 10.1694i | 1.30771 | − | 0.374596i | ||||
\(738\) | 15.3109 | − | 11.3682i | 0.563601 | − | 0.418469i | ||||
\(739\) | 18.2469 | − | 10.5349i | 0.671224 | − | 0.387532i | −0.125316 | − | 0.992117i | \(-0.539994\pi\) |
0.796540 | + | 0.604585i | \(0.206661\pi\) | |||||||
\(740\) | 13.5639 | + | 7.83112i | 0.498619 | + | 0.287878i | ||||
\(741\) | −7.71870 | − | 6.87788i | −0.283554 | − | 0.252665i | ||||
\(742\) | 4.70932 | − | 4.22771i | 0.172885 | − | 0.155204i | ||||
\(743\) | 28.9793 | 1.06315 | 0.531573 | − | 0.847013i | \(-0.321601\pi\) | ||||
0.531573 | + | 0.847013i | \(0.321601\pi\) | |||||||
\(744\) | −16.8350 | + | 5.56659i | −0.617200 | + | 0.204081i | ||||
\(745\) | 21.4928 | − | 12.4089i | 0.787436 | − | 0.454627i | ||||
\(746\) | −24.2451 | + | 13.9979i | −0.887675 | + | 0.512499i | ||||
\(747\) | −6.45660 | − | 2.79487i | −0.236235 | − | 0.102259i | ||||
\(748\) | 8.73065 | + | 8.43568i | 0.319224 | + | 0.308439i | ||||
\(749\) | −10.9683 | + | 2.31446i | −0.400774 | + | 0.0845687i | ||||
\(750\) | −14.0041 | + | 15.7161i | −0.511359 | + | 0.573872i | ||||
\(751\) | 1.85140 | − | 3.20672i | 0.0675586 | − | 0.117015i | −0.830268 | − | 0.557365i | \(-0.811812\pi\) |
0.897826 | + | 0.440350i | \(0.145146\pi\) | |||||||
\(752\) | −4.43228 | + | 2.55898i | −0.161629 | + | 0.0933163i | ||||
\(753\) | 14.4661 | + | 2.99663i | 0.527175 | + | 0.109203i | ||||
\(754\) | −16.1938 | − | 9.34950i | −0.589744 | − | 0.340489i | ||||
\(755\) | 36.6271 | 1.33300 | ||||||||
\(756\) | 8.23632 | + | 11.0074i | 0.299552 | + | 0.400335i | ||||
\(757\) | −15.7188 | −0.571308 | −0.285654 | − | 0.958333i | \(-0.592211\pi\) | ||||
−0.285654 | + | 0.958333i | \(0.592211\pi\) | |||||||
\(758\) | 7.72979 | − | 13.3884i | 0.280759 | − | 0.486288i | ||||
\(759\) | 13.8638 | + | 20.3379i | 0.503225 | + | 0.738220i | ||||
\(760\) | −2.91441 | − | 5.04791i | −0.105717 | − | 0.183107i | ||||
\(761\) | 10.5972 | − | 18.3548i | 0.384147 | − | 0.665362i | −0.607504 | − | 0.794317i | \(-0.707829\pi\) |
0.991650 | + | 0.128955i | \(0.0411624\pi\) | |||||||
\(762\) | 14.4376 | − | 16.2026i | 0.523020 | − | 0.586958i | ||||
\(763\) | 4.42394 | + | 1.44465i | 0.160157 | + | 0.0523000i | ||||
\(764\) | − | 15.1400i | − | 0.547747i | ||||||
\(765\) | 8.21496 | − | 18.9778i | 0.297012 | − | 0.686145i | ||||
\(766\) | 2.54013 | − | 1.46654i | 0.0917786 | − | 0.0529884i | ||||
\(767\) | −10.5879 | − | 18.3388i | −0.382307 | − | 0.662175i | ||||
\(768\) | −1.64448 | + | 0.543759i | −0.0593402 | + | 0.0196212i | ||||
\(769\) | 16.9681i | 0.611884i | 0.952050 | + | 0.305942i | \(0.0989714\pi\) | ||||
−0.952050 | + | 0.305942i | \(0.901029\pi\) | |||||||
\(770\) | 8.78128 | − | 13.9985i | 0.316455 | − | 0.504469i | ||||
\(771\) | 5.60651 | − | 6.29190i | 0.201913 | − | 0.226597i | ||||
\(772\) | −7.77762 | − | 4.49041i | −0.279923 | − | 0.161613i | ||||
\(773\) | 24.6916 | − | 14.2557i | 0.888096 | − | 0.512743i | 0.0147769 | − | 0.999891i | \(-0.495296\pi\) |
0.873319 | + | 0.487148i | \(0.161963\pi\) | |||||||
\(774\) | 12.0735 | + | 16.2607i | 0.433972 | + | 0.584480i | ||||
\(775\) | −7.44078 | + | 12.8878i | −0.267281 | + | 0.462944i | ||||
\(776\) | −0.0299777 | −0.00107614 | ||||||||
\(777\) | −0.141141 | − | 38.1128i | −0.00506342 | − | 1.36729i | ||||
\(778\) | 24.2170i | 0.868222i | ||||||||
\(779\) | 17.0391 | + | 9.83756i | 0.610491 | + | 0.352467i | ||||
\(780\) | 1.27588 | − | 6.15928i | 0.0456840 | − | 0.220538i | ||||
\(781\) | −31.4535 | − | 7.85131i | −1.12549 | − | 0.280942i | ||||
\(782\) | −13.5826 | − | 7.84189i | −0.485711 | − | 0.280425i | ||||
\(783\) | 28.9783 | − | 41.2172i | 1.03560 | − | 1.47298i | ||||
\(784\) | −5.65094 | − | 4.13121i | −0.201819 | − | 0.147543i | ||||
\(785\) | − | 3.96966i | − | 0.141683i | ||||||
\(786\) | −3.13856 | + | 1.03779i | −0.111949 | + | 0.0370166i | ||||
\(787\) | −22.5484 | + | 13.0183i | −0.803763 | + | 0.464053i | −0.844785 | − | 0.535106i | \(-0.820272\pi\) |
0.0410223 | + | 0.999158i | \(0.486939\pi\) | |||||||
\(788\) | −13.1565 | − | 22.7878i | −0.468683 | − | 0.811782i | ||||
\(789\) | −14.2848 | + | 4.72337i | −0.508553 | + | 0.168156i | ||||
\(790\) | −21.1629 | −0.752943 | ||||||||
\(791\) | −13.8781 | + | 12.4588i | −0.493447 | + | 0.442984i | ||||
\(792\) | −6.04634 | + | 7.90201i | −0.214847 | + | 0.280786i | ||||
\(793\) | 11.2036 | − | 19.4051i | 0.397850 | − | 0.689096i | ||||
\(794\) | 7.83756 | + | 13.5750i | 0.278144 | + | 0.481760i | ||||
\(795\) | 1.58258 | − | 7.63987i | 0.0561285 | − | 0.270958i | ||||
\(796\) | −11.1870 | + | 19.3764i | −0.396512 | + | 0.686778i | ||||
\(797\) | 4.80180i | 0.170089i | 0.996377 | + | 0.0850443i | \(0.0271032\pi\) | ||||
−0.996377 | + | 0.0850443i | \(0.972897\pi\) | |||||||
\(798\) | −7.04650 | + | 12.3100i | −0.249444 | + | 0.435768i | ||||
\(799\) | − | 18.7338i | − | 0.662756i | ||||||
\(800\) | −0.726834 | + | 1.25891i | −0.0256975 | + | 0.0445093i | ||||
\(801\) | −22.2093 | − | 29.9119i | −0.784729 | − | 1.05688i | ||||
\(802\) | −11.1027 | + | 6.41014i | −0.392049 | + | 0.226350i | ||||
\(803\) | −1.92009 | − | 6.70302i | −0.0677584 | − | 0.236544i | ||||
\(804\) | −14.3987 | − | 12.8302i | −0.507803 | − | 0.452487i | ||||
\(805\) | −6.62691 | + | 20.2935i | −0.233568 | + | 0.715252i | ||||
\(806\) | − | 19.7418i | − | 0.695374i | ||||||
\(807\) | 2.87800 | + | 8.70391i | 0.101311 | + | 0.306392i | ||||
\(808\) | 3.38899 | + | 5.86990i | 0.119224 | + | 0.206502i | ||||
\(809\) | 16.5190 | + | 28.6117i | 0.580776 | + | 1.00593i | 0.995388 | + | 0.0959356i | \(0.0305843\pi\) |
−0.414611 | + | 0.909999i | \(0.636082\pi\) | |||||||
\(810\) | 16.2241 | + | 4.90229i | 0.570056 | + | 0.172249i | ||||
\(811\) | − | 26.1823i | − | 0.919383i | −0.888079 | − | 0.459692i | \(-0.847960\pi\) | ||
0.888079 | − | 0.459692i | \(-0.152040\pi\) | |||||||
\(812\) | −7.96372 | + | 24.3872i | −0.279472 | + | 0.855823i | ||||
\(813\) | 15.6072 | − | 17.5151i | 0.547367 | − | 0.614282i | ||||
\(814\) | 26.5177 | − | 7.59603i | 0.929445 | − | 0.266241i | ||||
\(815\) | −5.21435 | + | 3.01050i | −0.182651 | + | 0.105453i | ||||
\(816\) | 1.28602 | − | 6.20822i | 0.0450198 | − | 0.217331i | ||||
\(817\) | −10.4479 | + | 18.0962i | −0.365524 | + | 0.633107i | ||||
\(818\) | − | 30.6423i | − | 1.07138i | ||||||
\(819\) | −14.5147 | + | 4.85907i | −0.507184 | + | 0.169790i | ||||
\(820\) | 11.9706i | 0.418031i | ||||||||
\(821\) | 19.6060 | − | 33.9586i | 0.684255 | − | 1.18516i | −0.289415 | − | 0.957204i | \(-0.593461\pi\) |
0.973670 | − | 0.227961i | \(-0.0732059\pi\) | |||||||
\(822\) | 0.894603 | + | 0.185316i | 0.0312029 | + | 0.00646362i | ||||
\(823\) | −4.36167 | − | 7.55463i | −0.152038 | − | 0.263338i | 0.779938 | − | 0.625856i | \(-0.215250\pi\) |
−0.931977 | + | 0.362518i | \(0.881917\pi\) | |||||||
\(824\) | 6.44521 | − | 11.1634i | 0.224529 | − | 0.388896i | ||||
\(825\) | 0.623395 | + | 8.32739i | 0.0217038 | + | 0.289922i | ||||
\(826\) | −21.6190 | + | 19.4081i | −0.752222 | + | 0.675294i | ||||
\(827\) | −44.8575 | −1.55985 | −0.779925 | − | 0.625873i | \(-0.784743\pi\) | ||||
−0.779925 | + | 0.625873i | \(0.784743\pi\) | |||||||
\(828\) | 5.10630 | − | 11.7963i | 0.177456 | − | 0.409951i | ||||
\(829\) | 11.8646 | + | 20.5500i | 0.412074 | + | 0.713733i | 0.995116 | − | 0.0987089i | \(-0.0314713\pi\) |
−0.583043 | + | 0.812442i | \(0.698138\pi\) | |||||||
\(830\) | 3.82470 | − | 2.20819i | 0.132757 | − | 0.0766474i | ||||
\(831\) | −1.91901 | − | 5.80363i | −0.0665697 | − | 0.201326i | ||||
\(832\) | − | 1.92843i | − | 0.0668562i | ||||||
\(833\) | 23.4384 | − | 10.3526i | 0.812091 | − | 0.358696i | ||||
\(834\) | 3.26547 | − | 3.66468i | 0.113074 | − | 0.126897i | ||||
\(835\) | 3.64598 | + | 2.10501i | 0.126174 | + | 0.0728469i | ||||
\(836\) | −9.96008 | − | 2.48620i | −0.344476 | − | 0.0859871i | ||||
\(837\) | 52.9829 | + | 4.73753i | 1.83136 | + | 0.163753i | ||||
\(838\) | −4.56858 | − | 2.63767i | −0.157819 | − | 0.0911168i | ||||
\(839\) | − | 40.8769i | − | 1.41123i | −0.708597 | − | 0.705613i | \(-0.750672\pi\) | ||
0.708597 | − | 0.705613i | \(-0.249328\pi\) | |||||||
\(840\) | −8.62971 | + | 0.0319580i | −0.297753 | + | 0.00110266i | ||||
\(841\) | 65.0223 | 2.24215 | ||||||||
\(842\) | 2.03684 | − | 3.52791i | 0.0701941 | − | 0.121580i | ||||
\(843\) | −0.0161831 | + | 0.0781231i | −0.000557374 | + | 0.00269070i | ||||
\(844\) | −2.67782 | + | 1.54604i | −0.0921742 | + | 0.0532168i | ||||
\(845\) | −15.1364 | − | 8.73901i | −0.520708 | − | 0.300631i | ||||
\(846\) | 15.2523 | − | 1.76303i | 0.524385 | − | 0.0606142i | ||||
\(847\) | −6.98364 | − | 28.2529i | −0.239961 | − | 0.970783i | ||||
\(848\) | − | 2.39199i | − | 0.0821412i | ||||||
\(849\) | −11.2973 | − | 34.1664i | −0.387723 | − | 1.17259i | ||||
\(850\) | −2.66051 | − | 4.60814i | −0.0912549 | − | 0.158058i | ||||
\(851\) | −30.8614 | + | 17.8178i | −1.05791 | + | 0.610787i | ||||
\(852\) | 5.31501 | + | 16.0741i | 0.182089 | + | 0.550690i | ||||
\(853\) | 4.60065i | 0.157523i | 0.996893 | + | 0.0787616i | \(0.0250966\pi\) | ||||
−0.996893 | + | 0.0787616i | \(0.974903\pi\) | |||||||
\(854\) | −29.2233 | − | 9.54296i | −1.00000 | − | 0.326553i | ||||
\(855\) | 2.00791 | + | 17.3708i | 0.0686690 | + | 0.594070i | ||||
\(856\) | −2.11847 | + | 3.66929i | −0.0724077 | + | 0.125414i | ||||
\(857\) | −4.67390 | − | 8.09543i | −0.159657 | − | 0.276535i | 0.775088 | − | 0.631854i | \(-0.217706\pi\) |
−0.934745 | + | 0.355319i | \(0.884372\pi\) | |||||||
\(858\) | −6.23973 | − | 9.15354i | −0.213021 | − | 0.312497i | ||||
\(859\) | −9.47884 | + | 16.4178i | −0.323414 | + | 0.560169i | −0.981190 | − | 0.193044i | \(-0.938164\pi\) |
0.657776 | + | 0.753213i | \(0.271497\pi\) | |||||||
\(860\) | −12.7132 | −0.433517 | ||||||||
\(861\) | 25.1729 | − | 14.6581i | 0.857890 | − | 0.499548i | ||||
\(862\) | −18.2204 | −0.620590 | ||||||||
\(863\) | 43.1545 | + | 24.9152i | 1.46900 | + | 0.848125i | 0.999396 | − | 0.0347546i | \(-0.0110650\pi\) |
0.469600 | + | 0.882880i | \(0.344398\pi\) | |||||||
\(864\) | 5.17550 | + | 0.462774i | 0.176074 | + | 0.0157439i | ||||
\(865\) | −19.6421 | + | 11.3404i | −0.667852 | + | 0.385585i | ||||
\(866\) | −18.5782 | + | 32.1784i | −0.631313 | + | 1.09347i | ||||
\(867\) | −4.65712 | − | 4.14981i | −0.158164 | − | 0.140935i | ||||
\(868\) | −26.5016 | + | 5.59219i | −0.899523 | + | 0.189811i | ||||
\(869\) | −25.8986 | + | 26.8042i | −0.878549 | + | 0.909269i | ||||
\(870\) | 9.92914 | + | 30.0286i | 0.336629 | + | 1.01806i | ||||
\(871\) | 18.5955 | − | 10.7361i | 0.630085 | − | 0.363780i | ||||
\(872\) | 1.52333 | − | 0.879494i | 0.0515864 | − | 0.0297834i | ||||
\(873\) | 0.0825326 | + | 0.0357260i | 0.00279330 | + | 0.00120914i | ||||
\(874\) | 13.2621 | 0.448597 | ||||||||
\(875\) | −23.9274 | + | 21.4804i | −0.808894 | + | 0.726171i | ||||
\(876\) | −2.42247 | + | 2.71861i | −0.0818476 | + | 0.0918535i | ||||
\(877\) | −39.0886 | − | 22.5678i | −1.31993 | − | 0.762060i | −0.336210 | − | 0.941787i | \(-0.609145\pi\) |
−0.983717 | + | 0.179727i | \(0.942479\pi\) | |||||||
\(878\) | 32.2063 | − | 18.5943i | 1.08691 | − | 0.627529i | ||||
\(879\) | −1.71923 | + | 8.29954i | −0.0579883 | + | 0.279936i | ||||
\(880\) | −1.71994 | − | 6.00429i | −0.0579790 | − | 0.202405i | ||||
\(881\) | 42.3927i | 1.42825i | 0.700020 | + | 0.714123i | \(0.253174\pi\) | ||||
−0.700020 | + | 0.714123i | \(0.746826\pi\) | |||||||
\(882\) | 10.6344 | + | 18.1083i | 0.358079 | + | 0.609737i | ||||
\(883\) | 54.9147 | 1.84803 | 0.924013 | − | 0.382360i | \(-0.124889\pi\) | ||||
0.924013 | + | 0.382360i | \(0.124889\pi\) | |||||||
\(884\) | 6.11314 | + | 3.52942i | 0.205607 | + | 0.118707i | ||||
\(885\) | −7.26515 | + | 35.0722i | −0.244215 | + | 1.17894i | ||||
\(886\) | 5.90271 | − | 3.40793i | 0.198305 | − | 0.114492i | ||||
\(887\) | 4.16485 | − | 7.21373i | 0.139842 | − | 0.242213i | −0.787595 | − | 0.616194i | \(-0.788674\pi\) |
0.927437 | + | 0.373980i | \(0.122007\pi\) | |||||||
\(888\) | −10.7551 | − | 9.58350i | −0.360917 | − | 0.321601i | ||||
\(889\) | 24.6680 | − | 22.1453i | 0.827340 | − | 0.742730i | ||||
\(890\) | 23.3862 | 0.783907 | ||||||||
\(891\) | 26.0636 | − | 14.5495i | 0.873163 | − | 0.487427i | ||||
\(892\) | −8.79309 | − | 15.2301i | −0.294414 | − | 0.509941i | ||||
\(893\) | 7.92060 | + | 13.7189i | 0.265053 | + | 0.459085i | ||||
\(894\) | −21.6722 | + | 7.16605i | −0.724826 | + | 0.239669i | ||||
\(895\) | 2.00697 | 0.0670857 | ||||||||
\(896\) | −2.58874 | + | 0.546260i | −0.0864839 | + | 0.0182493i | ||||
\(897\) | 10.6850 | + | 9.52103i | 0.356761 | + | 0.317898i | ||||
\(898\) | −2.53709 | − | 1.46479i | −0.0846637 | − | 0.0488806i | ||||
\(899\) | 49.6327 | + | 85.9664i | 1.65534 | + | 2.86714i | ||||
\(900\) | 3.50138 | − | 2.59975i | 0.116713 | − | 0.0866583i | ||||
\(901\) | 7.58263 | + | 4.37783i | 0.252614 | + | 0.145847i | ||||
\(902\) | 15.1615 | + | 14.6492i | 0.504822 | + | 0.487767i | ||||
\(903\) | 15.5675 | + | 26.7346i | 0.518054 | + | 0.889672i | ||||
\(904\) | 7.04904i | 0.234448i | ||||||||
\(905\) | 9.59023 | + | 5.53692i | 0.318790 | + | 0.184054i | ||||
\(906\) | −32.9876 | − | 6.83332i | −1.09594 | − | 0.227022i | ||||
\(907\) | −7.78469 | − | 13.4835i | −0.258486 | − | 0.447712i | 0.707350 | − | 0.706863i | \(-0.249890\pi\) |
−0.965837 | + | 0.259152i | \(0.916557\pi\) | |||||||
\(908\) | 2.91997 | − | 5.05754i | 0.0969027 | − | 0.167840i | ||||
\(909\) | −2.33487 | − | 20.1994i | −0.0774428 | − | 0.669973i | ||||
\(910\) | 2.98259 | − | 9.13354i | 0.0988719 | − | 0.302774i | ||||
\(911\) | 21.4845i | 0.711812i | 0.934522 | + | 0.355906i | \(0.115828\pi\) | ||||
−0.934522 | + | 0.355906i | \(0.884172\pi\) | |||||||
\(912\) | 1.68305 | + | 5.09004i | 0.0557315 | + | 0.168548i | ||||
\(913\) | 1.88374 | − | 7.54654i | 0.0623428 | − | 0.249754i | ||||
\(914\) | 6.48607 | − | 3.74473i | 0.214540 | − | 0.123865i | ||||
\(915\) | −35.9834 | + | 11.8981i | −1.18957 | + | 0.393340i | ||||
\(916\) | 19.5412 | 0.645661 | ||||||||
\(917\) | −4.94072 | + | 1.04256i | −0.163157 | + | 0.0344283i | ||||
\(918\) | −10.9392 | + | 15.5594i | −0.361049 | + | 0.513538i | ||||
\(919\) | 44.7656 | + | 25.8455i | 1.47668 | + | 0.852563i | 0.999653 | − | 0.0263245i | \(-0.00838033\pi\) |
0.477029 | + | 0.878888i | \(0.341714\pi\) | |||||||
\(920\) | 4.03441 | + | 6.98781i | 0.133011 | + | 0.230381i | ||||
\(921\) | −43.6486 | − | 9.04173i | −1.43827 | − | 0.297935i | ||||
\(922\) | 8.52468 | − | 14.7652i | 0.280745 | − | 0.486265i | ||||
\(923\) | −18.8495 | −0.620440 | ||||||||
\(924\) | −10.5203 | + | 10.9692i | −0.346093 | + | 0.360860i | ||||
\(925\) | −12.0901 | −0.397520 | ||||||||
\(926\) | 0.0529251 | − | 0.0916690i | 0.00173923 | − | 0.00301243i | ||||
\(927\) | −31.0485 | + | 23.0533i | −1.01977 | + | 0.757170i | ||||
\(928\) | 4.84825 | + | 8.39742i | 0.159152 | + | 0.275659i | ||||
\(929\) | 26.8652 | + | 15.5107i | 0.881420 | + | 0.508888i | 0.871126 | − | 0.491059i | \(-0.163390\pi\) |
0.0102936 | + | 0.999947i | \(0.496723\pi\) | |||||||
\(930\) | −22.2143 | + | 24.9300i | −0.728435 | + | 0.817486i | ||||
\(931\) | −12.7870 | + | 17.4909i | −0.419077 | + | 0.573241i | ||||
\(932\) | −15.2189 | −0.498512 | ||||||||
\(933\) | −1.49856 | − | 4.53208i | −0.0490608 | − | 0.148374i | ||||
\(934\) | 0.545934 | − | 0.315195i | 0.0178635 | − | 0.0103135i | ||||
\(935\) | 22.1815 | + | 5.53688i | 0.725412 | + | 0.181075i | ||||
\(936\) | −2.29820 | + | 5.30921i | −0.0751192 | + | 0.173537i | ||||
\(937\) | − | 31.6686i | − | 1.03457i | −0.855814 | − | 0.517283i | \(-0.826943\pi\) | ||
0.855814 | − | 0.517283i | \(-0.173057\pi\) | |||||||
\(938\) | −19.6798 | − | 21.9217i | −0.642568 | − | 0.715767i | ||||
\(939\) | 17.3978 | + | 15.5026i | 0.567754 | + | 0.505908i | ||||
\(940\) | −4.81899 | + | 8.34674i | −0.157178 | + | 0.272241i | ||||
\(941\) | −13.8313 | − | 23.9564i | −0.450886 | − | 0.780958i | 0.547555 | − | 0.836770i | \(-0.315559\pi\) |
−0.998441 | + | 0.0558120i | \(0.982225\pi\) | |||||||
\(942\) | −0.740597 | + | 3.57520i | −0.0241299 | + | 0.116486i | ||||
\(943\) | −23.5872 | − | 13.6181i | −0.768106 | − | 0.443466i | ||||
\(944\) | 10.9809i | 0.357397i | ||||||||
\(945\) | 23.7968 | + | 10.1965i | 0.774110 | + | 0.331692i | ||||
\(946\) | −15.5581 | + | 16.1021i | −0.505836 | + | 0.523524i | ||||
\(947\) | −18.7065 | − | 10.8002i | −0.607879 | − | 0.350959i | 0.164256 | − | 0.986418i | \(-0.447478\pi\) |
−0.772135 | + | 0.635459i | \(0.780811\pi\) | |||||||
\(948\) | 19.0600 | + | 3.94825i | 0.619040 | + | 0.128233i | ||||
\(949\) | −2.02708 | − | 3.51101i | −0.0658019 | − | 0.113972i | ||||
\(950\) | 3.89662 | + | 2.24971i | 0.126423 | + | 0.0729903i | ||||
\(951\) | 6.61622 | − | 7.42504i | 0.214546 | − | 0.240774i | ||||
\(952\) | 3.00629 | − | 9.20612i | 0.0974344 | − | 0.298372i | ||||
\(953\) | 7.18964 | 0.232895 | 0.116448 | − | 0.993197i | \(-0.462849\pi\) | ||||
0.116448 | + | 0.993197i | \(0.462849\pi\) | |||||||
\(954\) | −2.85065 | + | 6.58545i | −0.0922933 | + | 0.213212i | ||||
\(955\) | −14.2556 | − | 24.6915i | −0.461301 | − | 0.798997i | ||||
\(956\) | 3.90906 | + | 6.77068i | 0.126428 | + | 0.218980i | ||||
\(957\) | 50.1840 | + | 24.1722i | 1.62222 | + | 0.781377i | ||||
\(958\) | 34.7778 | 1.12362 | ||||||||
\(959\) | 1.32660 | + | 0.433206i | 0.0428381 | + | 0.0139889i | ||||
\(960\) | −2.16995 | + | 2.43522i | −0.0700348 | + | 0.0785965i | ||||
\(961\) | −36.9006 | + | 63.9137i | −1.19034 | + | 2.06173i | ||||
\(962\) | 13.8899 | − | 8.01932i | 0.447827 | − | 0.258553i | ||||
\(963\) | 10.2053 | − | 7.57735i | 0.328861 | − | 0.244177i | ||||
\(964\) | 17.1878 | + | 9.92339i | 0.553583 | + | 0.319611i | ||||
\(965\) | −16.9124 | −0.544430 | ||||||||
\(966\) | 9.75445 | − | 17.0406i | 0.313844 | − | 0.548273i | ||||
\(967\) | − | 45.6617i | − | 1.46838i | −0.678944 | − | 0.734190i | \(-0.737562\pi\) | ||
0.678944 | − | 0.734190i | \(-0.262438\pi\) | |||||||
\(968\) | −9.70961 | − | 5.16947i | −0.312079 | − | 0.166153i | ||||
\(969\) | −19.2158 | − | 3.98052i | −0.617301 | − | 0.127873i | ||||
\(970\) | −0.0488899 | + | 0.0282266i | −0.00156976 | + | 0.000906301i | ||||
\(971\) | −13.2167 | − | 7.63066i | −0.424144 | − | 0.244879i | 0.272705 | − | 0.962098i | \(-0.412082\pi\) |
−0.696849 | + | 0.717218i | \(0.745415\pi\) | |||||||
\(972\) | −13.6973 | − | 7.44199i | −0.439342 | − | 0.238702i | ||||
\(973\) | 5.57938 | − | 5.00879i | 0.178867 | − | 0.160574i | ||||
\(974\) | 20.4073 | 0.653891 | ||||||||
\(975\) | 1.52432 | + | 4.60997i | 0.0488172 | + | 0.147637i | ||||
\(976\) | −10.0627 | + | 5.80969i | −0.322098 | + | 0.185963i | ||||
\(977\) | 49.3619 | − | 28.4991i | 1.57923 | − | 0.911768i | 0.584262 | − | 0.811565i | \(-0.301384\pi\) |
0.994967 | − | 0.100203i | \(-0.0319491\pi\) | |||||||
\(978\) | 5.25786 | − | 1.73855i | 0.168128 | − | 0.0555926i | ||||
\(979\) | 28.6193 | − | 29.6201i | 0.914678 | − | 0.946661i | ||||
\(980\) | −13.1059 | − | 1.41663i | −0.418651 | − | 0.0452527i | ||||
\(981\) | −5.24206 | + | 0.605935i | −0.167366 | + | 0.0193460i | ||||
\(982\) | −16.2985 | + | 28.2298i | −0.520106 | + | 0.900851i | ||||
\(983\) | 35.1451 | − | 20.2910i | 1.12096 | − | 0.647184i | 0.179311 | − | 0.983793i | \(-0.442613\pi\) |
0.941645 | + | 0.336609i | \(0.109280\pi\) | |||||||
\(984\) | 2.23328 | − | 10.7811i | 0.0711945 | − | 0.343689i | ||||
\(985\) | −42.9133 | − | 24.7760i | −1.36733 | − | 0.789430i | ||||
\(986\) | −35.4932 | −1.13033 | ||||||||
\(987\) | 23.4533 | − | 0.0868534i | 0.746526 | − | 0.00276457i | ||||
\(988\) | −5.96891 | −0.189896 | ||||||||
\(989\) | 14.4629 | − | 25.0505i | 0.459895 | − | 0.796561i | ||||
\(990\) | −2.42041 | + | 18.5803i | −0.0769256 | + | 0.590521i | ||||
\(991\) | 24.3227 | + | 42.1282i | 0.772637 | + | 1.33825i | 0.936113 | + | 0.351699i | \(0.114396\pi\) |
−0.163476 | + | 0.986547i | \(0.552271\pi\) | |||||||
\(992\) | −5.11862 | + | 8.86571i | −0.162516 | + | 0.281487i | ||||
\(993\) | −11.1178 | − | 9.90667i | −0.352811 | − | 0.314379i | ||||
\(994\) | 5.33945 | + | 25.3039i | 0.169357 | + | 0.802590i | ||||
\(995\) | 42.1340i | 1.33574i | ||||||||
\(996\) | −3.85662 | + | 1.27521i | −0.122202 | + | 0.0404067i | ||||
\(997\) | −23.2261 | + | 13.4096i | −0.735577 | + | 0.424686i | −0.820459 | − | 0.571705i | \(-0.806282\pi\) |
0.0848819 | + | 0.996391i | \(0.472949\pi\) | |||||||
\(998\) | −4.61628 | − | 7.99563i | −0.146126 | − | 0.253097i | ||||
\(999\) | 18.1890 | + | 39.2020i | 0.575474 | + | 1.24030i |
(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 | 462.2.n.e.65.8 | yes | 24 | |
3.2 | odd | 2 | 462.2.n.f.65.2 | yes | 24 | ||
7.4 | even | 3 | inner | 462.2.n.e.263.2 | yes | 24 | |
11.10 | odd | 2 | 462.2.n.f.65.8 | yes | 24 | ||
21.11 | odd | 6 | 462.2.n.f.263.8 | yes | 24 | ||
33.32 | even | 2 | inner | 462.2.n.e.65.2 | ✓ | 24 | |
77.32 | odd | 6 | 462.2.n.f.263.2 | yes | 24 | ||
231.32 | even | 6 | inner | 462.2.n.e.263.8 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.n.e.65.2 | ✓ | 24 | 33.32 | even | 2 | inner | |
462.2.n.e.65.8 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.n.e.263.2 | yes | 24 | 7.4 | even | 3 | inner | |
462.2.n.e.263.8 | yes | 24 | 231.32 | even | 6 | inner | |
462.2.n.f.65.2 | yes | 24 | 3.2 | odd | 2 | ||
462.2.n.f.65.8 | yes | 24 | 11.10 | odd | 2 | ||
462.2.n.f.263.2 | yes | 24 | 77.32 | odd | 6 | ||
462.2.n.f.263.8 | yes | 24 | 21.11 | odd | 6 |