Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(11,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.g (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: | \(0.762944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Root | \(0.121721 - 0.507075i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.23 |
Dual form | 28.3.g.a.11.4 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104798 | − | 1.99725i | −0.0523990 | − | 0.998626i | ||||
\(3\) | 1.63031 | − | 0.941260i | 0.543437 | − | 0.313753i | −0.203034 | − | 0.979172i | \(-0.565080\pi\) |
0.746471 | + | 0.665418i | \(0.231747\pi\) | |||||||
\(4\) | −3.97803 | + | 0.418616i | −0.994509 | + | 0.104654i | ||||
\(5\) | −1.12649 | + | 1.95113i | −0.225297 | + | 0.390226i | −0.956409 | − | 0.292032i | \(-0.905669\pi\) |
0.731111 | + | 0.682258i | \(0.239002\pi\) | |||||||
\(6\) | −2.05079 | − | 3.15750i | −0.341798 | − | 0.526250i | ||||
\(7\) | 6.84270 | − | 1.47562i | 0.977529 | − | 0.210803i | ||||
\(8\) | 1.25297 | + | 7.90127i | 0.156621 | + | 0.987659i | ||||
\(9\) | −2.72806 | + | 4.72514i | −0.303118 | + | 0.525015i | ||||
\(10\) | 4.01495 | + | 2.04540i | 0.401495 | + | 0.204540i | ||||
\(11\) | −8.47301 | + | 4.89189i | −0.770274 | + | 0.444718i | −0.832972 | − | 0.553315i | \(-0.813363\pi\) |
0.0626986 | + | 0.998033i | \(0.480029\pi\) | |||||||
\(12\) | −6.09140 | + | 4.42684i | −0.507617 | + | 0.368903i | ||||
\(13\) | 7.96206 | 0.612466 | 0.306233 | − | 0.951957i | \(-0.400931\pi\) | ||||
0.306233 | + | 0.951957i | \(0.400931\pi\) | |||||||
\(14\) | −3.66428 | − | 13.5120i | −0.261735 | − | 0.965140i | ||||
\(15\) | 4.24126i | 0.282751i | ||||||||
\(16\) | 15.6495 | − | 3.33054i | 0.978095 | − | 0.208159i | ||||
\(17\) | −13.1901 | − | 22.8460i | −0.775889 | − | 1.34388i | −0.934293 | − | 0.356505i | \(-0.883968\pi\) |
0.158404 | − | 0.987374i | \(-0.449365\pi\) | |||||||
\(18\) | 9.72319 | + | 4.95344i | 0.540177 | + | 0.275191i | ||||
\(19\) | −21.1322 | − | 12.2007i | −1.11222 | − | 0.642140i | −0.172816 | − | 0.984954i | \(-0.555287\pi\) |
−0.939403 | + | 0.342814i | \(0.888620\pi\) | |||||||
\(20\) | 3.66442 | − | 8.23323i | 0.183221 | − | 0.411661i | ||||
\(21\) | 9.76678 | − | 8.84648i | 0.465085 | − | 0.421261i | ||||
\(22\) | 10.6583 | + | 16.4101i | 0.484468 | + | 0.745913i | ||||
\(23\) | −3.55297 | − | 2.05131i | −0.154477 | − | 0.0891874i | 0.420769 | − | 0.907168i | \(-0.361760\pi\) |
−0.575246 | + | 0.817981i | \(0.695094\pi\) | |||||||
\(24\) | 9.47988 | + | 11.7021i | 0.394995 | + | 0.487590i | ||||
\(25\) | 9.96206 | + | 17.2548i | 0.398482 | + | 0.690192i | ||||
\(26\) | −0.834407 | − | 15.9022i | −0.0320926 | − | 0.611625i | ||||
\(27\) | 27.2139i | 1.00792i | ||||||||
\(28\) | −26.6028 | + | 8.73453i | −0.950099 | + | 0.311947i | ||||
\(29\) | −12.3684 | −0.426495 | −0.213248 | − | 0.976998i | \(-0.568404\pi\) | ||||
−0.213248 | + | 0.976998i | \(0.568404\pi\) | |||||||
\(30\) | 8.47087 | − | 0.444475i | 0.282362 | − | 0.0148158i | ||||
\(31\) | 44.2877 | − | 25.5695i | 1.42864 | − | 0.824823i | 0.431623 | − | 0.902054i | \(-0.357941\pi\) |
0.997013 | + | 0.0772309i | \(0.0246079\pi\) | |||||||
\(32\) | −8.29196 | − | 30.9070i | −0.259124 | − | 0.965844i | ||||
\(33\) | −9.20909 | + | 15.9506i | −0.279063 | + | 0.483352i | ||||
\(34\) | −44.2468 | + | 28.7382i | −1.30138 | + | 0.845241i | ||||
\(35\) | −4.82908 | + | 15.0133i | −0.137974 | + | 0.428950i | ||||
\(36\) | 8.87430 | − | 19.9388i | 0.246508 | − | 0.553855i | ||||
\(37\) | −16.7787 | + | 29.0615i | −0.453477 | + | 0.785446i | −0.998599 | − | 0.0529109i | \(-0.983150\pi\) |
0.545122 | + | 0.838357i | \(0.316483\pi\) | |||||||
\(38\) | −22.1532 | + | 43.4849i | −0.582979 | + | 1.14434i | ||||
\(39\) | 12.9806 | − | 7.49437i | 0.332837 | − | 0.192163i | ||||
\(40\) | −16.8279 | − | 6.45596i | −0.420696 | − | 0.161399i | ||||
\(41\) | 31.2806 | 0.762941 | 0.381471 | − | 0.924381i | \(-0.375418\pi\) | ||||
0.381471 | + | 0.924381i | \(0.375418\pi\) | |||||||
\(42\) | −18.6922 | − | 18.5796i | −0.445052 | − | 0.442372i | ||||
\(43\) | − | 21.4052i | − | 0.497796i | −0.968530 | − | 0.248898i | \(-0.919932\pi\) | ||
0.968530 | − | 0.248898i | \(-0.0800685\pi\) | |||||||
\(44\) | 31.6581 | − | 23.0071i | 0.719502 | − | 0.522888i | ||||
\(45\) | −6.14624 | − | 10.6456i | −0.136583 | − | 0.236569i | ||||
\(46\) | −3.72464 | + | 7.31115i | −0.0809704 | + | 0.158938i | ||||
\(47\) | 39.4162 | + | 22.7569i | 0.838642 | + | 0.484190i | 0.856802 | − | 0.515645i | \(-0.172448\pi\) |
−0.0181606 | + | 0.999835i | \(0.505781\pi\) | |||||||
\(48\) | 22.3787 | − | 20.1601i | 0.466222 | − | 0.420002i | ||||
\(49\) | 44.6451 | − | 20.1944i | 0.911124 | − | 0.412131i | ||||
\(50\) | 33.4182 | − | 21.7050i | 0.668364 | − | 0.434100i | ||||
\(51\) | −43.0080 | − | 24.8307i | −0.843294 | − | 0.486876i | ||||
\(52\) | −31.6734 | + | 3.33304i | −0.609103 | + | 0.0640970i | ||||
\(53\) | −7.90437 | − | 13.6908i | −0.149139 | − | 0.258316i | 0.781770 | − | 0.623566i | \(-0.214317\pi\) |
−0.930909 | + | 0.365250i | \(0.880984\pi\) | |||||||
\(54\) | 54.3531 | − | 2.85196i | 1.00654 | − | 0.0528141i | ||||
\(55\) | − | 22.0426i | − | 0.400774i | ||||||
\(56\) | 20.2330 | + | 52.2171i | 0.361303 | + | 0.932448i | ||||
\(57\) | −45.9360 | −0.805895 | ||||||||
\(58\) | 1.29618 | + | 24.7027i | 0.0223479 | + | 0.425909i | ||||
\(59\) | −54.5014 | + | 31.4664i | −0.923752 | + | 0.533328i | −0.884830 | − | 0.465914i | \(-0.845726\pi\) |
−0.0389219 | + | 0.999242i | \(0.512392\pi\) | |||||||
\(60\) | −1.77546 | − | 16.8719i | −0.0295910 | − | 0.281198i | ||||
\(61\) | 18.8664 | − | 32.6776i | 0.309286 | − | 0.535699i | −0.668921 | − | 0.743334i | \(-0.733243\pi\) |
0.978206 | + | 0.207635i | \(0.0665767\pi\) | |||||||
\(62\) | −55.7101 | − | 85.7741i | −0.898549 | − | 1.38345i | ||||
\(63\) | −11.6948 | + | 36.3583i | −0.185632 | + | 0.577115i | ||||
\(64\) | −60.8601 | + | 19.8001i | −0.950939 | + | 0.309377i | ||||
\(65\) | −8.96915 | + | 15.5350i | −0.137987 | + | 0.239000i | ||||
\(66\) | 32.8225 | + | 16.7213i | 0.497310 | + | 0.253353i | ||||
\(67\) | −28.1763 | + | 16.2676i | −0.420541 | + | 0.242800i | −0.695309 | − | 0.718711i | \(-0.744732\pi\) |
0.274768 | + | 0.961511i | \(0.411399\pi\) | |||||||
\(68\) | 62.0344 | + | 85.3604i | 0.912271 | + | 1.25530i | ||||
\(69\) | −7.72326 | −0.111931 | ||||||||
\(70\) | 30.4914 | + | 8.07153i | 0.435591 | + | 0.115308i | ||||
\(71\) | − | 16.1023i | − | 0.226793i | −0.993550 | − | 0.113397i | \(-0.963827\pi\) | ||
0.993550 | − | 0.113397i | \(-0.0361730\pi\) | |||||||
\(72\) | −40.7528 | − | 15.6347i | −0.566011 | − | 0.217148i | ||||
\(73\) | −9.53794 | − | 16.5202i | −0.130657 | − | 0.226304i | 0.793273 | − | 0.608866i | \(-0.208375\pi\) |
−0.923930 | + | 0.382562i | \(0.875042\pi\) | |||||||
\(74\) | 59.8015 | + | 30.4656i | 0.808129 | + | 0.411698i | ||||
\(75\) | 32.4825 | + | 18.7538i | 0.433100 | + | 0.250050i | ||||
\(76\) | 89.1719 | + | 39.6884i | 1.17331 | + | 0.522216i | ||||
\(77\) | −50.7597 | + | 45.9767i | −0.659217 | + | 0.597100i | ||||
\(78\) | −16.3285 | − | 25.1402i | −0.209340 | − | 0.322310i | ||||
\(79\) | −4.94305 | − | 2.85387i | −0.0625702 | − | 0.0361249i | 0.468389 | − | 0.883523i | \(-0.344835\pi\) |
−0.530959 | + | 0.847398i | \(0.678168\pi\) | |||||||
\(80\) | −11.1307 | + | 34.2861i | −0.139133 | + | 0.428576i | ||||
\(81\) | 1.06285 | + | 1.84091i | 0.0131216 | + | 0.0227273i | ||||
\(82\) | −3.27814 | − | 62.4752i | −0.0399773 | − | 0.761893i | ||||
\(83\) | − | 37.5076i | − | 0.451898i | −0.974139 | − | 0.225949i | \(-0.927452\pi\) | ||
0.974139 | − | 0.225949i | \(-0.0725483\pi\) | |||||||
\(84\) | −35.1493 | + | 39.2801i | −0.418444 | + | 0.467621i | ||||
\(85\) | 59.4339 | 0.699223 | ||||||||
\(86\) | −42.7517 | + | 2.24323i | −0.497113 | + | 0.0260840i | ||||
\(87\) | −20.1643 | + | 11.6418i | −0.231773 | + | 0.133814i | ||||
\(88\) | −49.2686 | − | 60.8181i | −0.559871 | − | 0.691115i | ||||
\(89\) | 4.70315 | − | 8.14609i | 0.0528444 | − | 0.0915291i | −0.838393 | − | 0.545066i | \(-0.816505\pi\) |
0.891238 | + | 0.453537i | \(0.149838\pi\) | |||||||
\(90\) | −20.6178 | + | 13.3912i | −0.229087 | + | 0.148791i | ||||
\(91\) | 54.4820 | − | 11.7490i | 0.598703 | − | 0.129110i | ||||
\(92\) | 14.9926 | + | 6.67285i | 0.162963 | + | 0.0725310i | ||||
\(93\) | 48.1351 | − | 83.3725i | 0.517582 | − | 0.896479i | ||||
\(94\) | 41.3206 | − | 81.1089i | 0.439581 | − | 0.862861i | ||||
\(95\) | 47.6102 | − | 27.4878i | 0.501160 | − | 0.289345i | ||||
\(96\) | −42.6100 | − | 42.5831i | −0.443854 | − | 0.443574i | ||||
\(97\) | −64.3953 | −0.663869 | −0.331934 | − | 0.943303i | \(-0.607701\pi\) | ||||
−0.331934 | + | 0.943303i | \(0.607701\pi\) | |||||||
\(98\) | −45.0121 | − | 87.0512i | −0.459307 | − | 0.888277i | ||||
\(99\) | − | 53.3815i | − | 0.539207i | ||||||
\(100\) | −46.8526 | − | 64.4699i | −0.468526 | − | 0.644699i | ||||
\(101\) | 75.9368 | + | 131.526i | 0.751849 | + | 1.30224i | 0.946925 | + | 0.321453i | \(0.104171\pi\) |
−0.195076 | + | 0.980788i | \(0.562495\pi\) | |||||||
\(102\) | −45.0860 | + | 88.5000i | −0.442019 | + | 0.867647i | ||||
\(103\) | −52.2731 | − | 30.1799i | −0.507506 | − | 0.293009i | 0.224302 | − | 0.974520i | \(-0.427990\pi\) |
−0.731808 | + | 0.681511i | \(0.761323\pi\) | |||||||
\(104\) | 9.97623 | + | 62.9104i | 0.0959253 | + | 0.604908i | ||||
\(105\) | 6.25849 | + | 29.0217i | 0.0596047 | + | 0.276397i | ||||
\(106\) | −26.5156 | + | 17.2218i | −0.250147 | + | 0.162470i | ||||
\(107\) | 175.439 | + | 101.290i | 1.63962 | + | 0.946634i | 0.980964 | + | 0.194189i | \(0.0622076\pi\) |
0.658655 | + | 0.752445i | \(0.271126\pi\) | |||||||
\(108\) | −11.3922 | − | 108.258i | −0.105483 | − | 1.00239i | ||||
\(109\) | −11.3676 | − | 19.6892i | −0.104290 | − | 0.180635i | 0.809158 | − | 0.587591i | \(-0.199924\pi\) |
−0.913448 | + | 0.406956i | \(0.866590\pi\) | |||||||
\(110\) | −44.0246 | + | 2.31002i | −0.400224 | + | 0.0210002i | ||||
\(111\) | 63.1723i | 0.569120i | ||||||||
\(112\) | 102.170 | − | 45.8826i | 0.912236 | − | 0.409666i | ||||
\(113\) | 54.8460 | 0.485362 | 0.242681 | − | 0.970106i | \(-0.421973\pi\) | ||||
0.242681 | + | 0.970106i | \(0.421973\pi\) | |||||||
\(114\) | 4.81400 | + | 91.7458i | 0.0422280 | + | 0.804788i | ||||
\(115\) | 8.00474 | − | 4.62154i | 0.0696065 | − | 0.0401873i | ||||
\(116\) | 49.2017 | − | 5.17759i | 0.424153 | − | 0.0446344i | ||||
\(117\) | −21.7210 | + | 37.6218i | −0.185649 | + | 0.321554i | ||||
\(118\) | 68.5579 | + | 105.555i | 0.580999 | + | 0.894537i | ||||
\(119\) | −123.968 | − | 136.864i | −1.04175 | − | 1.15012i | ||||
\(120\) | −33.5114 | + | 5.31418i | −0.279261 | + | 0.0442848i | ||||
\(121\) | −12.6387 | + | 21.8909i | −0.104452 | + | 0.180917i | ||||
\(122\) | −67.2426 | − | 34.2565i | −0.551169 | − | 0.280791i | ||||
\(123\) | 50.9971 | − | 29.4432i | 0.414610 | − | 0.239375i | ||||
\(124\) | −165.474 | + | 120.256i | −1.33447 | + | 0.969806i | ||||
\(125\) | −101.213 | −0.809702 | ||||||||
\(126\) | 73.8422 | + | 19.5472i | 0.586050 | + | 0.155136i | ||||
\(127\) | 204.534i | 1.61050i | 0.592934 | + | 0.805251i | \(0.297969\pi\) | ||||
−0.592934 | + | 0.805251i | \(0.702031\pi\) | |||||||
\(128\) | 45.9239 | + | 119.478i | 0.358780 | + | 0.933422i | ||||
\(129\) | −20.1479 | − | 34.8972i | −0.156185 | − | 0.270521i | ||||
\(130\) | 31.9673 | + | 16.2856i | 0.245902 | + | 0.125274i | ||||
\(131\) | −83.0221 | − | 47.9328i | −0.633757 | − | 0.365900i | 0.148449 | − | 0.988920i | \(-0.452572\pi\) |
−0.782205 | + | 0.623021i | \(0.785905\pi\) | |||||||
\(132\) | 29.9569 | − | 67.3072i | 0.226946 | − | 0.509903i | ||||
\(133\) | −162.605 | − | 52.3025i | −1.22259 | − | 0.393252i | ||||
\(134\) | 35.4433 | + | 54.5703i | 0.264502 | + | 0.407241i | ||||
\(135\) | −53.0979 | − | 30.6561i | −0.393318 | − | 0.227082i | ||||
\(136\) | 163.985 | − | 132.844i | 1.20577 | − | 0.976794i | ||||
\(137\) | −21.7237 | − | 37.6265i | −0.158567 | − | 0.274646i | 0.775785 | − | 0.630997i | \(-0.217354\pi\) |
−0.934352 | + | 0.356351i | \(0.884021\pi\) | |||||||
\(138\) | 0.809382 | + | 15.4253i | 0.00586508 | + | 0.111778i | ||||
\(139\) | − | 29.8880i | − | 0.215021i | −0.994204 | − | 0.107511i | \(-0.965712\pi\) | ||
0.994204 | − | 0.107511i | \(-0.0342880\pi\) | |||||||
\(140\) | 12.9255 | − | 61.7448i | 0.0923246 | − | 0.441034i | ||||
\(141\) | 85.6807 | 0.607665 | ||||||||
\(142\) | −32.1604 | + | 1.68749i | −0.226482 | + | 0.0118837i | ||||
\(143\) | −67.4626 | + | 38.9496i | −0.471767 | + | 0.272375i | ||||
\(144\) | −26.9556 | + | 83.0320i | −0.187192 | + | 0.576611i | ||||
\(145\) | 13.9328 | − | 24.1323i | 0.0960881 | − | 0.166429i | ||||
\(146\) | −31.9954 | + | 20.7810i | −0.219147 | + | 0.142335i | ||||
\(147\) | 53.7771 | − | 74.9458i | 0.365831 | − | 0.509836i | ||||
\(148\) | 54.5805 | − | 122.631i | 0.368787 | − | 0.828591i | ||||
\(149\) | 132.670 | − | 229.791i | 0.890400 | − | 1.54222i | 0.0510042 | − | 0.998698i | \(-0.483758\pi\) |
0.839396 | − | 0.543520i | \(-0.182909\pi\) | |||||||
\(150\) | 34.0519 | − | 66.8411i | 0.227013 | − | 0.445607i | ||||
\(151\) | −171.484 | + | 99.0061i | −1.13565 | + | 0.655669i | −0.945350 | − | 0.326056i | \(-0.894280\pi\) |
−0.190302 | + | 0.981726i | \(0.560947\pi\) | |||||||
\(152\) | 69.9228 | − | 182.258i | 0.460018 | − | 1.19907i | ||||
\(153\) | 143.934 | 0.940743 | ||||||||
\(154\) | 97.1466 | + | 96.5617i | 0.630822 | + | 0.627024i | ||||
\(155\) | 115.215i | 0.743321i | ||||||||
\(156\) | −48.5001 | + | 35.2468i | −0.310898 | + | 0.225941i | ||||
\(157\) | 95.2766 | + | 165.024i | 0.606857 | + | 1.05111i | 0.991755 | + | 0.128148i | \(0.0409033\pi\) |
−0.384898 | + | 0.922959i | \(0.625763\pi\) | |||||||
\(158\) | −5.18188 | + | 10.1716i | −0.0327967 | + | 0.0643772i | ||||
\(159\) | −25.7731 | − | 14.8801i | −0.162095 | − | 0.0935857i | ||||
\(160\) | 69.6444 | + | 18.6376i | 0.435277 | + | 0.116485i | ||||
\(161\) | −27.3389 | − | 8.79366i | −0.169807 | − | 0.0546190i | ||||
\(162\) | 3.56538 | − | 2.31571i | 0.0220085 | − | 0.0142945i | ||||
\(163\) | −35.3404 | − | 20.4038i | −0.216812 | − | 0.125177i | 0.387661 | − | 0.921802i | \(-0.373283\pi\) |
−0.604473 | + | 0.796625i | \(0.706616\pi\) | |||||||
\(164\) | −124.435 | + | 13.0945i | −0.758752 | + | 0.0798448i | ||||
\(165\) | −20.7478 | − | 35.9363i | −0.125744 | − | 0.217796i | ||||
\(166\) | −74.9121 | + | 3.93071i | −0.451277 | + | 0.0236790i | ||||
\(167\) | − | 170.689i | − | 1.02209i | −0.859554 | − | 0.511045i | \(-0.829259\pi\) | ||
0.859554 | − | 0.511045i | \(-0.170741\pi\) | |||||||
\(168\) | 82.1359 | + | 66.0856i | 0.488904 | + | 0.393367i | ||||
\(169\) | −105.606 | −0.624885 | ||||||||
\(170\) | −6.22855 | − | 118.705i | −0.0366385 | − | 0.698262i | ||||
\(171\) | 115.300 | − | 66.5683i | 0.674267 | − | 0.389288i | ||||
\(172\) | 8.96057 | + | 85.1508i | 0.0520964 | + | 0.495063i | ||||
\(173\) | −5.65296 | + | 9.79122i | −0.0326761 | + | 0.0565967i | −0.881901 | − | 0.471435i | \(-0.843736\pi\) |
0.849225 | + | 0.528031i | \(0.177070\pi\) | |||||||
\(174\) | 25.3649 | + | 39.0531i | 0.145775 | + | 0.224443i | ||||
\(175\) | 93.6289 | + | 103.369i | 0.535022 | + | 0.590681i | ||||
\(176\) | −116.306 | + | 104.775i | −0.660829 | + | 0.595315i | ||||
\(177\) | −59.2361 | + | 102.600i | −0.334667 | + | 0.579661i | ||||
\(178\) | −16.7627 | − | 8.53968i | −0.0941724 | − | 0.0479757i | ||||
\(179\) | 129.252 | − | 74.6236i | 0.722077 | − | 0.416892i | −0.0934394 | − | 0.995625i | \(-0.529786\pi\) |
0.815517 | + | 0.578733i | \(0.196453\pi\) | |||||||
\(180\) | 28.9064 | + | 39.7756i | 0.160591 | + | 0.220976i | ||||
\(181\) | −228.588 | −1.26292 | −0.631459 | − | 0.775409i | \(-0.717544\pi\) | ||||
−0.631459 | + | 0.775409i | \(0.717544\pi\) | |||||||
\(182\) | −29.1753 | − | 107.583i | −0.160304 | − | 0.591116i | ||||
\(183\) | − | 71.0329i | − | 0.388158i | ||||||
\(184\) | 11.7562 | − | 30.6432i | 0.0638923 | − | 0.166539i | ||||
\(185\) | −37.8018 | − | 65.4747i | −0.204334 | − | 0.353917i | ||||
\(186\) | −171.560 | − | 87.4008i | −0.922368 | − | 0.469897i | ||||
\(187\) | 223.520 | + | 129.049i | 1.19529 | + | 0.690104i | ||||
\(188\) | −166.325 | − | 74.0276i | −0.884709 | − | 0.393764i | ||||
\(189\) | 40.1574 | + | 186.217i | 0.212473 | + | 0.985274i | ||||
\(190\) | −59.8894 | − | 92.2089i | −0.315208 | − | 0.485310i | ||||
\(191\) | 53.7445 | + | 31.0294i | 0.281385 | + | 0.162458i | 0.634050 | − | 0.773292i | \(-0.281391\pi\) |
−0.352665 | + | 0.935749i | \(0.614725\pi\) | |||||||
\(192\) | −80.5838 | + | 89.5655i | −0.419707 | + | 0.466487i | ||||
\(193\) | 107.867 | + | 186.831i | 0.558895 | + | 0.968034i | 0.997589 | + | 0.0693978i | \(0.0221078\pi\) |
−0.438694 | + | 0.898636i | \(0.644559\pi\) | |||||||
\(194\) | 6.74849 | + | 128.614i | 0.0347860 | + | 0.662957i | ||||
\(195\) | 33.7692i | 0.173175i | ||||||||
\(196\) | −169.146 | + | 99.0233i | −0.862990 | + | 0.505221i | ||||
\(197\) | 26.7240 | 0.135655 | 0.0678274 | − | 0.997697i | \(-0.478393\pi\) | ||||
0.0678274 | + | 0.997697i | \(0.478393\pi\) | |||||||
\(198\) | −106.616 | + | 5.59427i | −0.538466 | + | 0.0282539i | ||||
\(199\) | −49.8604 | + | 28.7869i | −0.250555 | + | 0.144658i | −0.620018 | − | 0.784587i | \(-0.712875\pi\) |
0.369463 | + | 0.929245i | \(0.379541\pi\) | |||||||
\(200\) | −123.853 | + | 100.333i | −0.619263 | + | 0.501663i | ||||
\(201\) | −30.6240 | + | 53.0424i | −0.152358 | + | 0.263892i | ||||
\(202\) | 254.733 | − | 165.449i | 1.26106 | − | 0.819053i | ||||
\(203\) | −84.6330 | + | 18.2510i | −0.416911 | + | 0.0899063i | ||||
\(204\) | 181.482 | + | 80.7734i | 0.889616 | + | 0.395948i | ||||
\(205\) | −35.2371 | + | 61.0325i | −0.171888 | + | 0.297720i | ||||
\(206\) | −54.7987 | + | 107.565i | −0.266013 | + | 0.522162i | ||||
\(207\) | 19.3854 | − | 11.1922i | 0.0936494 | − | 0.0540685i | ||||
\(208\) | 124.602 | − | 26.5179i | 0.599050 | − | 0.127490i | ||||
\(209\) | 238.738 | 1.14228 | ||||||||
\(210\) | 57.3078 | − | 15.5412i | 0.272894 | − | 0.0740057i | ||||
\(211\) | − | 219.742i | − | 1.04143i | −0.853730 | − | 0.520717i | \(-0.825665\pi\) | ||
0.853730 | − | 0.520717i | \(-0.174335\pi\) | |||||||
\(212\) | 37.1750 | + | 51.1535i | 0.175354 | + | 0.241290i | ||||
\(213\) | −15.1565 | − | 26.2518i | −0.0711571 | − | 0.123248i | ||||
\(214\) | 183.916 | − | 361.011i | 0.859420 | − | 1.68697i | ||||
\(215\) | 41.7644 | + | 24.1127i | 0.194253 | + | 0.112152i | ||||
\(216\) | −215.025 | + | 34.0983i | −0.995484 | + | 0.157862i | ||||
\(217\) | 265.317 | − | 240.316i | 1.22266 | − | 1.10745i | ||||
\(218\) | −38.1330 | + | 24.7673i | −0.174922 | + | 0.113611i | ||||
\(219\) | −31.0996 | − | 17.9554i | −0.142007 | − | 0.0819879i | ||||
\(220\) | 9.22738 | + | 87.6862i | 0.0419426 | + | 0.398574i | ||||
\(221\) | −105.021 | − | 181.901i | −0.475206 | − | 0.823081i | ||||
\(222\) | 126.171 | − | 6.62033i | 0.568338 | − | 0.0298213i | ||||
\(223\) | 51.5172i | 0.231019i | 0.993306 | + | 0.115509i | \(0.0368500\pi\) | ||||
−0.993306 | + | 0.115509i | \(0.963150\pi\) | |||||||
\(224\) | −102.346 | − | 199.252i | −0.456903 | − | 0.889516i | ||||
\(225\) | −108.708 | −0.483148 | ||||||||
\(226\) | −5.74774 | − | 109.541i | −0.0254325 | − | 0.484696i | ||||
\(227\) | −158.323 | + | 91.4080i | −0.697459 | + | 0.402678i | −0.806400 | − | 0.591370i | \(-0.798587\pi\) |
0.108941 | + | 0.994048i | \(0.465254\pi\) | |||||||
\(228\) | 182.735 | − | 19.2295i | 0.801469 | − | 0.0843401i | ||||
\(229\) | 104.460 | − | 180.930i | 0.456157 | − | 0.790088i | −0.542597 | − | 0.839993i | \(-0.682559\pi\) |
0.998754 | + | 0.0499057i | \(0.0158921\pi\) | |||||||
\(230\) | −10.0693 | − | 15.5032i | −0.0437794 | − | 0.0674051i | ||||
\(231\) | −39.4780 | + | 122.734i | −0.170900 | + | 0.531318i | ||||
\(232\) | −15.4972 | − | 97.7257i | −0.0667982 | − | 0.421232i | ||||
\(233\) | −135.483 | + | 234.663i | −0.581470 | + | 1.00714i | 0.413835 | + | 0.910352i | \(0.364189\pi\) |
−0.995305 | + | 0.0967843i | \(0.969144\pi\) | |||||||
\(234\) | 77.4166 | + | 39.4396i | 0.330840 | + | 0.168545i | ||||
\(235\) | −88.8035 | + | 51.2707i | −0.377887 | + | 0.218173i | ||||
\(236\) | 203.636 | − | 147.989i | 0.862865 | − | 0.627074i | ||||
\(237\) | −10.7449 | −0.0453373 | ||||||||
\(238\) | −260.361 | + | 261.938i | −1.09395 | + | 1.10058i | ||||
\(239\) | − | 239.578i | − | 1.00242i | −0.865327 | − | 0.501208i | \(-0.832889\pi\) | ||
0.865327 | − | 0.501208i | \(-0.167111\pi\) | |||||||
\(240\) | 14.1257 | + | 66.3737i | 0.0588570 | + | 0.276557i | ||||
\(241\) | −209.909 | − | 363.574i | −0.870993 | − | 1.50860i | −0.860970 | − | 0.508655i | \(-0.830143\pi\) |
−0.0100232 | − | 0.999950i | \(-0.503191\pi\) | |||||||
\(242\) | 45.0462 | + | 22.9486i | 0.186141 | + | 0.0948290i | ||||
\(243\) | −208.646 | − | 120.462i | −0.858626 | − | 0.495728i | ||||
\(244\) | −61.3719 | + | 137.890i | −0.251524 | + | 0.565125i | ||||
\(245\) | −10.8901 | + | 109.857i | −0.0444493 | + | 0.448396i | ||||
\(246\) | −64.1498 | − | 98.7684i | −0.260772 | − | 0.401498i | ||||
\(247\) | −168.256 | − | 97.1425i | −0.681197 | − | 0.393289i | ||||
\(248\) | 257.523 | + | 317.891i | 1.03840 | + | 1.28182i | ||||
\(249\) | −35.3044 | − | 61.1489i | −0.141785 | − | 0.245578i | ||||
\(250\) | 10.6069 | + | 202.147i | 0.0424275 | + | 0.808590i | ||||
\(251\) | 295.280i | 1.17641i | 0.808710 | + | 0.588207i | \(0.200166\pi\) | ||||
−0.808710 | + | 0.588207i | \(0.799834\pi\) | |||||||
\(252\) | 31.3021 | − | 149.530i | 0.124215 | − | 0.593373i | ||||
\(253\) | 40.1392 | 0.158653 | ||||||||
\(254\) | 408.505 | − | 21.4347i | 1.60829 | − | 0.0843886i | ||||
\(255\) | 96.8957 | − | 55.9428i | 0.379983 | − | 0.219383i | ||||
\(256\) | 233.815 | − | 104.243i | 0.913340 | − | 0.407198i | ||||
\(257\) | −67.7038 | + | 117.266i | −0.263439 | + | 0.456289i | −0.967153 | − | 0.254193i | \(-0.918190\pi\) |
0.703715 | + | 0.710483i | \(0.251523\pi\) | |||||||
\(258\) | −67.5870 | + | 43.8976i | −0.261965 | + | 0.170146i | ||||
\(259\) | −71.9277 | + | 223.618i | −0.277713 | + | 0.863390i | ||||
\(260\) | 29.1764 | − | 65.5535i | 0.112217 | − | 0.252129i | ||||
\(261\) | 33.7416 | − | 58.4422i | 0.129278 | − | 0.223916i | ||||
\(262\) | −87.0334 | + | 170.839i | −0.332189 | + | 0.652059i | ||||
\(263\) | 153.117 | − | 88.4022i | 0.582194 | − | 0.336130i | −0.179811 | − | 0.983701i | \(-0.557549\pi\) |
0.762005 | + | 0.647571i | \(0.224215\pi\) | |||||||
\(264\) | −137.569 | − | 52.7778i | −0.521094 | − | 0.199916i | ||||
\(265\) | 35.6166 | 0.134402 | ||||||||
\(266\) | −87.4206 | + | 330.244i | −0.328649 | + | 1.24152i | ||||
\(267\) | − | 17.7075i | − | 0.0663204i | ||||||
\(268\) | 105.276 | − | 76.5080i | 0.392822 | − | 0.285478i | ||||
\(269\) | 68.4609 | + | 118.578i | 0.254501 | + | 0.440809i | 0.964760 | − | 0.263132i | \(-0.0847553\pi\) |
−0.710259 | + | 0.703941i | \(0.751422\pi\) | |||||||
\(270\) | −55.6634 | + | 109.263i | −0.206161 | + | 0.404676i | ||||
\(271\) | 121.823 | + | 70.3348i | 0.449533 | + | 0.259538i | 0.707633 | − | 0.706580i | \(-0.249763\pi\) |
−0.258100 | + | 0.966118i | \(0.583096\pi\) | |||||||
\(272\) | −282.508 | − | 313.598i | −1.03863 | − | 1.15293i | ||||
\(273\) | 77.7637 | − | 70.4362i | 0.284849 | − | 0.258008i | ||||
\(274\) | −72.8731 | + | 47.3309i | −0.265960 | + | 0.172740i | ||||
\(275\) | −168.817 | − | 97.4667i | −0.613881 | − | 0.354424i | ||||
\(276\) | 30.7234 | − | 3.23308i | 0.111317 | − | 0.0117141i | ||||
\(277\) | 178.855 | + | 309.785i | 0.645685 | + | 1.11836i | 0.984143 | + | 0.177377i | \(0.0567613\pi\) |
−0.338458 | + | 0.940981i | \(0.609905\pi\) | |||||||
\(278\) | −59.6939 | + | 3.13220i | −0.214726 | + | 0.0112669i | ||||
\(279\) | 279.021i | 1.00007i | ||||||||
\(280\) | −124.675 | − | 19.3447i | −0.445266 | − | 0.0690881i | ||||
\(281\) | −238.770 | −0.849716 | −0.424858 | − | 0.905260i | \(-0.639676\pi\) | ||||
−0.424858 | + | 0.905260i | \(0.639676\pi\) | |||||||
\(282\) | −8.97916 | − | 171.126i | −0.0318410 | − | 0.606830i | ||||
\(283\) | 142.685 | − | 82.3792i | 0.504187 | − | 0.291093i | −0.226254 | − | 0.974068i | \(-0.572648\pi\) |
0.730441 | + | 0.682976i | \(0.239315\pi\) | |||||||
\(284\) | 6.74068 | + | 64.0555i | 0.0237348 | + | 0.225548i | ||||
\(285\) | 51.7462 | − | 89.6271i | 0.181566 | − | 0.314481i | ||||
\(286\) | 84.8621 | + | 130.658i | 0.296720 | + | 0.456846i | ||||
\(287\) | 214.044 | − | 46.1582i | 0.745797 | − | 0.160830i | ||||
\(288\) | 168.661 | + | 45.1355i | 0.585628 | + | 0.156721i | ||||
\(289\) | −203.459 | + | 352.401i | −0.704009 | + | 1.21938i | ||||
\(290\) | −49.6584 | − | 25.2983i | −0.171236 | − | 0.0872354i | ||||
\(291\) | −104.984 | + | 60.6127i | −0.360771 | + | 0.208291i | ||||
\(292\) | 44.8579 | + | 61.7252i | 0.153623 | + | 0.211388i | ||||
\(293\) | 181.551 | 0.619628 | 0.309814 | − | 0.950797i | \(-0.399733\pi\) | ||||
0.309814 | + | 0.950797i | \(0.399733\pi\) | |||||||
\(294\) | −155.322 | − | 99.5523i | −0.528304 | − | 0.338613i | ||||
\(295\) | − | 141.786i | − | 0.480629i | ||||||
\(296\) | −250.646 | − | 96.1595i | −0.846777 | − | 0.324863i | ||||
\(297\) | −133.128 | − | 230.584i | −0.448241 | − | 0.776377i | ||||
\(298\) | −472.853 | − | 240.893i | −1.58676 | − | 0.808366i | ||||
\(299\) | −28.2890 | − | 16.3326i | −0.0946120 | − | 0.0546242i | ||||
\(300\) | −137.067 | − | 61.0055i | −0.456890 | − | 0.203352i | ||||
\(301\) | −31.5860 | − | 146.470i | −0.104937 | − | 0.486610i | ||||
\(302\) | 215.711 | + | 332.120i | 0.714276 | + | 1.09974i | ||||
\(303\) | 247.601 | + | 142.953i | 0.817165 | + | 0.471790i | ||||
\(304\) | −371.343 | − | 120.553i | −1.22152 | − | 0.396556i | ||||
\(305\) | 42.5055 | + | 73.6217i | 0.139362 | + | 0.241383i | ||||
\(306\) | −15.0840 | − | 287.472i | −0.0492940 | − | 0.939451i | ||||
\(307\) | − | 517.293i | − | 1.68499i | −0.538702 | − | 0.842496i | \(-0.681085\pi\) | ||
0.538702 | − | 0.842496i | \(-0.318915\pi\) | |||||||
\(308\) | 182.677 | − | 204.146i | 0.593108 | − | 0.662811i | ||||
\(309\) | −113.628 | −0.367730 | ||||||||
\(310\) | 230.113 | − | 12.0743i | 0.742300 | − | 0.0389493i | ||||
\(311\) | 333.107 | − | 192.319i | 1.07108 | − | 0.618389i | 0.142605 | − | 0.989780i | \(-0.454452\pi\) |
0.928477 | + | 0.371390i | \(0.121119\pi\) | |||||||
\(312\) | 75.4794 | + | 93.1732i | 0.241921 | + | 0.298632i | ||||
\(313\) | −18.7208 | + | 32.4253i | −0.0598108 | + | 0.103595i | −0.894380 | − | 0.447307i | \(-0.852383\pi\) |
0.834570 | + | 0.550903i | \(0.185716\pi\) | |||||||
\(314\) | 319.610 | − | 207.586i | 1.01786 | − | 0.661100i | ||||
\(315\) | −57.7657 | − | 63.7751i | −0.183383 | − | 0.202461i | ||||
\(316\) | 20.8583 | + | 9.28356i | 0.0660073 | + | 0.0293784i | ||||
\(317\) | 94.8086 | − | 164.213i | 0.299081 | − | 0.518023i | −0.676845 | − | 0.736125i | \(-0.736653\pi\) |
0.975926 | + | 0.218102i | \(0.0699867\pi\) | |||||||
\(318\) | −27.0184 | + | 53.0349i | −0.0849635 | + | 0.166776i | ||||
\(319\) | 104.797 | − | 60.5047i | 0.328518 | − | 0.189670i | ||||
\(320\) | 29.9254 | − | 141.051i | 0.0935170 | − | 0.440783i | ||||
\(321\) | 381.360 | 1.18804 | ||||||||
\(322\) | −14.6981 | + | 55.5242i | −0.0456463 | + | 0.172435i | ||||
\(323\) | 643.713i | 1.99292i | ||||||||
\(324\) | −4.99869 | − | 6.87829i | −0.0154281 | − | 0.0212293i | ||||
\(325\) | 79.3185 | + | 137.384i | 0.244057 | + | 0.422719i | ||||
\(326\) | −37.0479 | + | 72.7220i | −0.113644 | + | 0.223074i | ||||
\(327\) | −37.0653 | − | 21.3997i | −0.113350 | − | 0.0654425i | ||||
\(328\) | 39.1937 | + | 247.156i | 0.119493 | + | 0.753526i | ||||
\(329\) | 303.294 | + | 97.5556i | 0.921865 | + | 0.296522i | ||||
\(330\) | −69.5995 | + | 45.2047i | −0.210907 | + | 0.136984i | ||||
\(331\) | −310.342 | − | 179.176i | −0.937588 | − | 0.541317i | −0.0483844 | − | 0.998829i | \(-0.515407\pi\) |
−0.889203 | + | 0.457512i | \(0.848741\pi\) | |||||||
\(332\) | 15.7013 | + | 149.206i | 0.0472929 | + | 0.449417i | ||||
\(333\) | −91.5464 | − | 158.563i | −0.274914 | − | 0.476165i | ||||
\(334\) | −340.909 | + | 17.8878i | −1.02069 | + | 0.0535564i | ||||
\(335\) | − | 73.3008i | − | 0.218808i | ||||||
\(336\) | 123.382 | − | 170.972i | 0.367208 | − | 0.508845i | ||||
\(337\) | 264.378 | 0.784506 | 0.392253 | − | 0.919857i | \(-0.371696\pi\) | ||||
0.392253 | + | 0.919857i | \(0.371696\pi\) | |||||||
\(338\) | 11.0672 | + | 210.921i | 0.0327433 | + | 0.624027i | ||||
\(339\) | 89.4159 | − | 51.6243i | 0.263764 | − | 0.152284i | ||||
\(340\) | −236.430 | + | 24.8800i | −0.695383 | + | 0.0731764i | ||||
\(341\) | −250.167 | + | 433.302i | −0.733627 | + | 1.27068i | ||||
\(342\) | −145.037 | − | 223.306i | −0.424084 | − | 0.652943i | ||||
\(343\) | 275.694 | − | 204.064i | 0.803772 | − | 0.594938i | ||||
\(344\) | 169.129 | − | 26.8202i | 0.491653 | − | 0.0779656i | ||||
\(345\) | 8.70014 | − | 15.0691i | 0.0252178 | − | 0.0436785i | ||||
\(346\) | 20.1480 | + | 10.2643i | 0.0582311 | + | 0.0296656i | ||||
\(347\) | −500.008 | + | 288.680i | −1.44095 | + | 0.831930i | −0.997913 | − | 0.0645754i | \(-0.979431\pi\) |
−0.443033 | + | 0.896506i | \(0.646097\pi\) | |||||||
\(348\) | 75.3407 | − | 54.7527i | 0.216496 | − | 0.157335i | ||||
\(349\) | −432.899 | −1.24040 | −0.620199 | − | 0.784444i | \(-0.712948\pi\) | ||||
−0.620199 | + | 0.784444i | \(0.712948\pi\) | |||||||
\(350\) | 196.642 | − | 197.833i | 0.561835 | − | 0.565238i | ||||
\(351\) | 216.679i | 0.617319i | ||||||||
\(352\) | 221.452 | + | 221.312i | 0.629124 | + | 0.628727i | ||||
\(353\) | −227.933 | − | 394.791i | −0.645701 | − | 1.11839i | −0.984139 | − | 0.177399i | \(-0.943232\pi\) |
0.338438 | − | 0.940989i | \(-0.390102\pi\) | |||||||
\(354\) | 211.126 | + | 107.557i | 0.596400 | + | 0.303834i | ||||
\(355\) | 31.4177 | + | 18.1390i | 0.0885006 | + | 0.0510958i | ||||
\(356\) | −15.2992 | + | 34.3742i | −0.0429753 | + | 0.0965569i | ||||
\(357\) | −330.931 | − | 106.445i | −0.926978 | − | 0.298166i | ||||
\(358\) | −162.587 | − | 250.328i | −0.454155 | − | 0.699241i | ||||
\(359\) | 200.751 | + | 115.904i | 0.559196 | + | 0.322852i | 0.752823 | − | 0.658223i | \(-0.228692\pi\) |
−0.193627 | + | 0.981075i | \(0.562025\pi\) | |||||||
\(360\) | 76.4127 | − | 61.9017i | 0.212257 | − | 0.171949i | ||||
\(361\) | 117.213 | + | 203.018i | 0.324689 | + | 0.562377i | ||||
\(362\) | 23.9556 | + | 456.548i | 0.0661756 | + | 1.26118i | ||||
\(363\) | 47.5853i | 0.131089i | ||||||||
\(364\) | −211.813 | + | 69.5448i | −0.581904 | + | 0.191057i | ||||
\(365\) | 42.9774 | 0.117746 | ||||||||
\(366\) | −141.871 | + | 7.44409i | −0.387624 | + | 0.0203391i | ||||
\(367\) | −214.564 | + | 123.879i | −0.584644 | + | 0.337544i | −0.762977 | − | 0.646426i | \(-0.776263\pi\) |
0.178333 | + | 0.983970i | \(0.442930\pi\) | |||||||
\(368\) | −62.4343 | − | 20.2687i | −0.169658 | − | 0.0550780i | ||||
\(369\) | −85.3353 | + | 147.805i | −0.231261 | + | 0.400556i | ||||
\(370\) | −126.808 | + | 82.3615i | −0.342724 | + | 0.222599i | ||||
\(371\) | −74.2896 | − | 82.0180i | −0.200241 | − | 0.221073i | ||||
\(372\) | −156.582 | + | 351.809i | −0.420920 | + | 0.945723i | ||||
\(373\) | 180.884 | − | 313.300i | 0.484943 | − | 0.839946i | −0.514907 | − | 0.857246i | \(-0.672174\pi\) |
0.999850 | + | 0.0172999i | \(0.00550702\pi\) | |||||||
\(374\) | 234.320 | − | 459.950i | 0.626523 | − | 1.22981i | ||||
\(375\) | −165.008 | + | 95.2675i | −0.440022 | + | 0.254047i | ||||
\(376\) | −130.421 | + | 339.951i | −0.346865 | + | 0.904126i | ||||
\(377\) | −98.4776 | −0.261214 | ||||||||
\(378\) | 367.714 | − | 99.7196i | 0.972787 | − | 0.263808i | ||||
\(379\) | − | 30.8585i | − | 0.0814208i | −0.999171 | − | 0.0407104i | \(-0.987038\pi\) | ||
0.999171 | − | 0.0407104i | \(-0.0129621\pi\) | |||||||
\(380\) | −177.888 | + | 129.278i | −0.468127 | + | 0.340204i | ||||
\(381\) | 192.519 | + | 333.453i | 0.505300 | + | 0.875206i | ||||
\(382\) | 56.3412 | − | 110.593i | 0.147490 | − | 0.289511i | ||||
\(383\) | −481.755 | − | 278.141i | −1.25784 | − | 0.726217i | −0.285190 | − | 0.958471i | \(-0.592057\pi\) |
−0.972655 | + | 0.232254i | \(0.925390\pi\) | |||||||
\(384\) | 187.330 | + | 151.560i | 0.487839 | + | 0.394687i | ||||
\(385\) | −32.5265 | − | 150.831i | −0.0844844 | − | 0.391768i | ||||
\(386\) | 361.844 | − | 235.016i | 0.937419 | − | 0.608851i | ||||
\(387\) | 101.143 | + | 58.3948i | 0.261351 | + | 0.150891i | ||||
\(388\) | 256.167 | − | 26.9569i | 0.660223 | − | 0.0694765i | ||||
\(389\) | −192.571 | − | 333.542i | −0.495041 | − | 0.857436i | 0.504943 | − | 0.863153i | \(-0.331514\pi\) |
−0.999984 | + | 0.00571703i | \(0.998180\pi\) | |||||||
\(390\) | 67.4456 | − | 3.53894i | 0.172937 | − | 0.00907421i | ||||
\(391\) | 108.228i | 0.276798i | ||||||||
\(392\) | 215.501 | + | 327.450i | 0.549747 | + | 0.835331i | ||||
\(393\) | −180.469 | −0.459209 | ||||||||
\(394\) | −2.80062 | − | 53.3745i | −0.00710817 | − | 0.135468i | ||||
\(395\) | 11.1365 | − | 6.42969i | 0.0281938 | − | 0.0162777i | ||||
\(396\) | 22.3463 | + | 212.354i | 0.0564302 | + | 0.536246i | ||||
\(397\) | 267.010 | − | 462.474i | 0.672568 | − | 1.16492i | −0.304605 | − | 0.952479i | \(-0.598524\pi\) |
0.977173 | − | 0.212444i | \(-0.0681423\pi\) | |||||||
\(398\) | 62.7200 | + | 96.5670i | 0.157588 | + | 0.242631i | ||||
\(399\) | −314.326 | + | 67.7841i | −0.787785 | + | 0.169885i | ||||
\(400\) | 213.369 | + | 236.850i | 0.533423 | + | 0.592126i | ||||
\(401\) | 90.6091 | − | 156.940i | 0.225958 | − | 0.391371i | −0.730648 | − | 0.682754i | \(-0.760782\pi\) |
0.956606 | + | 0.291383i | \(0.0941155\pi\) | |||||||
\(402\) | 109.148 | + | 55.6052i | 0.271513 | + | 0.138321i | ||||
\(403\) | 352.621 | − | 203.586i | 0.874991 | − | 0.505176i | ||||
\(404\) | −357.138 | − | 491.428i | −0.884005 | − | 1.21641i | ||||
\(405\) | −4.78915 | −0.0118250 | ||||||||
\(406\) | 45.3212 | + | 167.121i | 0.111629 | + | 0.411627i | ||||
\(407\) | − | 328.318i | − | 0.806678i | ||||||
\(408\) | 142.306 | − | 370.930i | 0.348789 | − | 0.909141i | ||||
\(409\) | 228.058 | + | 395.008i | 0.557599 | + | 0.965790i | 0.997696 | + | 0.0678399i | \(0.0216107\pi\) |
−0.440097 | + | 0.897950i | \(0.645056\pi\) | |||||||
\(410\) | 125.590 | + | 63.9814i | 0.306317 | + | 0.156052i | ||||
\(411\) | −70.8327 | − | 40.8953i | −0.172342 | − | 0.0995019i | ||||
\(412\) | 220.578 | + | 98.1743i | 0.535383 | + | 0.238287i | ||||
\(413\) | −326.504 | + | 295.738i | −0.790567 | + | 0.716073i | ||||
\(414\) | −24.3852 | − | 37.5447i | −0.0589014 | − | 0.0906877i | ||||
\(415\) | 73.1821 | + | 42.2517i | 0.176342 | + | 0.101811i | ||||
\(416\) | −66.0211 | − | 246.084i | −0.158705 | − | 0.591547i | ||||
\(417\) | −28.1324 | − | 48.7267i | −0.0674637 | − | 0.116851i | ||||
\(418\) | −25.0192 | − | 476.819i | −0.0598545 | − | 1.14072i | ||||
\(419\) | 504.900i | 1.20501i | 0.798115 | + | 0.602506i | \(0.205831\pi\) | ||||
−0.798115 | + | 0.602506i | \(0.794169\pi\) | |||||||
\(420\) | −37.0454 | − | 112.829i | −0.0882034 | − | 0.268641i | ||||
\(421\) | 699.886 | 1.66244 | 0.831218 | − | 0.555946i | \(-0.187644\pi\) | ||||
0.831218 | + | 0.555946i | \(0.187644\pi\) | |||||||
\(422\) | −438.881 | + | 23.0285i | −1.04000 | + | 0.0545700i | ||||
\(423\) | −215.059 | + | 124.165i | −0.508414 | + | 0.293533i | ||||
\(424\) | 98.2705 | − | 79.6087i | 0.231770 | − | 0.187756i | ||||
\(425\) | 262.802 | − | 455.186i | 0.618357 | − | 1.07103i | ||||
\(426\) | −50.8430 | + | 33.0224i | −0.119350 | + | 0.0775174i | ||||
\(427\) | 80.8776 | − | 251.443i | 0.189409 | − | 0.588859i | ||||
\(428\) | −740.305 | − | 329.493i | −1.72968 | − | 0.769844i | ||||
\(429\) | −73.3233 | + | 127.000i | −0.170917 | + | 0.296037i | ||||
\(430\) | 43.7823 | − | 85.9411i | 0.101819 | − | 0.199863i | ||||
\(431\) | 353.857 | − | 204.300i | 0.821015 | − | 0.474013i | −0.0297514 | − | 0.999557i | \(-0.509472\pi\) |
0.850766 | + | 0.525544i | \(0.176138\pi\) | |||||||
\(432\) | 90.6370 | + | 425.885i | 0.209808 | + | 0.985845i | ||||
\(433\) | −279.276 | −0.644980 | −0.322490 | − | 0.946573i | \(-0.604520\pi\) | ||||
−0.322490 | + | 0.946573i | \(0.604520\pi\) | |||||||
\(434\) | −507.777 | − | 504.720i | −1.16999 | − | 1.16295i | ||||
\(435\) | − | 52.4574i | − | 0.120592i | ||||||
\(436\) | 53.4628 | + | 73.5657i | 0.122621 | + | 0.168729i | ||||
\(437\) | 50.0547 | + | 86.6973i | 0.114542 | + | 0.198392i | ||||
\(438\) | −32.6022 | + | 63.9954i | −0.0744343 | + | 0.146108i | ||||
\(439\) | 350.260 | + | 202.223i | 0.797859 | + | 0.460644i | 0.842722 | − | 0.538349i | \(-0.180952\pi\) |
−0.0448633 | + | 0.998993i | \(0.514285\pi\) | |||||||
\(440\) | 174.164 | − | 27.6187i | 0.395828 | − | 0.0627698i | ||||
\(441\) | −26.3730 | + | 266.046i | −0.0598026 | + | 0.603279i | ||||
\(442\) | −352.296 | + | 228.815i | −0.797050 | + | 0.517682i | ||||
\(443\) | 185.372 | + | 107.024i | 0.418446 | + | 0.241590i | 0.694412 | − | 0.719577i | \(-0.255664\pi\) |
−0.275966 | + | 0.961167i | \(0.588998\pi\) | |||||||
\(444\) | −26.4449 | − | 251.302i | −0.0595607 | − | 0.565995i | ||||
\(445\) | 10.5961 | + | 18.3529i | 0.0238114 | + | 0.0412425i | ||||
\(446\) | 102.893 | − | 5.39889i | 0.230701 | − | 0.0121051i | ||||
\(447\) | − | 499.507i | − | 1.11746i | ||||||
\(448\) | −387.230 | + | 225.293i | −0.864353 | + | 0.502885i | ||||
\(449\) | −209.074 | −0.465643 | −0.232822 | − | 0.972519i | \(-0.574796\pi\) | ||||
−0.232822 | + | 0.972519i | \(0.574796\pi\) | |||||||
\(450\) | 11.3924 | + | 217.118i | 0.0253165 | + | 0.482485i | ||||
\(451\) | −265.041 | + | 153.021i | −0.587674 | + | 0.339294i | ||||
\(452\) | −218.179 | + | 22.9594i | −0.482697 | + | 0.0507951i | ||||
\(453\) | −186.381 | + | 322.821i | −0.411437 | + | 0.712630i | ||||
\(454\) | 199.157 | + | 306.632i | 0.438671 | + | 0.675401i | ||||
\(455\) | −38.4494 | + | 119.537i | −0.0845042 | + | 0.262718i | ||||
\(456\) | −57.5565 | − | 362.953i | −0.126220 | − | 0.795949i | ||||
\(457\) | −42.9086 | + | 74.3198i | −0.0938919 | + | 0.162625i | −0.909146 | − | 0.416478i | \(-0.863264\pi\) |
0.815254 | + | 0.579104i | \(0.196597\pi\) | |||||||
\(458\) | −372.310 | − | 189.672i | −0.812904 | − | 0.414131i | ||||
\(459\) | 621.728 | − | 358.955i | 1.35453 | − | 0.782037i | ||||
\(460\) | −29.9085 | + | 21.7356i | −0.0650185 | + | 0.0472512i | ||||
\(461\) | −39.7705 | −0.0862700 | −0.0431350 | − | 0.999069i | \(-0.513735\pi\) | ||||
−0.0431350 | + | 0.999069i | \(0.513735\pi\) | |||||||
\(462\) | 249.269 | + | 65.9853i | 0.539543 | + | 0.142825i | ||||
\(463\) | 192.393i | 0.415535i | 0.978178 | + | 0.207768i | \(0.0666198\pi\) | ||||
−0.978178 | + | 0.207768i | \(0.933380\pi\) | |||||||
\(464\) | −193.559 | + | 41.1933i | −0.417153 | + | 0.0887786i | ||||
\(465\) | 108.447 | + | 187.836i | 0.233220 | + | 0.403948i | ||||
\(466\) | 482.879 | + | 246.001i | 1.03622 | + | 0.527899i | ||||
\(467\) | 416.348 | + | 240.379i | 0.891538 | + | 0.514729i | 0.874445 | − | 0.485124i | \(-0.161226\pi\) |
0.0170924 | + | 0.999854i | \(0.494559\pi\) | |||||||
\(468\) | 70.6577 | − | 158.754i | 0.150978 | − | 0.339217i | ||||
\(469\) | −168.797 | + | 152.892i | −0.359908 | + | 0.325995i | ||||
\(470\) | 111.707 | + | 171.990i | 0.237674 | + | 0.365936i | ||||
\(471\) | 310.661 | + | 179.360i | 0.659577 | + | 0.380807i | ||||
\(472\) | −316.913 | − | 391.204i | −0.671426 | − | 0.828821i | ||||
\(473\) | 104.712 | + | 181.367i | 0.221379 | + | 0.383440i | ||||
\(474\) | 1.12605 | + | 21.4604i | 0.00237563 | + | 0.0452750i | ||||
\(475\) | − | 486.175i | − | 1.02353i | ||||||
\(476\) | 550.443 | + | 492.557i | 1.15639 | + | 1.03478i | ||||
\(477\) | 86.2543 | 0.180827 | ||||||||
\(478\) | −478.497 | + | 25.1072i | −1.00104 | + | 0.0525256i | ||||
\(479\) | −386.980 | + | 223.423i | −0.807891 | + | 0.466436i | −0.846223 | − | 0.532829i | \(-0.821129\pi\) |
0.0383320 | + | 0.999265i | \(0.487796\pi\) | |||||||
\(480\) | 131.085 | − | 35.1684i | 0.273093 | − | 0.0732675i | ||||
\(481\) | −133.593 | + | 231.389i | −0.277740 | + | 0.481059i | ||||
\(482\) | −704.151 | + | 457.344i | −1.46089 | + | 0.948846i | ||||
\(483\) | −52.8480 | + | 11.3966i | −0.109416 | + | 0.0235954i | ||||
\(484\) | 41.1134 | − | 92.3736i | 0.0849451 | − | 0.190855i | ||||
\(485\) | 72.5403 | − | 125.644i | 0.149568 | − | 0.259059i | ||||
\(486\) | −218.727 | + | 429.343i | −0.450056 | + | 0.883422i | ||||
\(487\) | −574.307 | + | 331.577i | −1.17928 | + | 0.680855i | −0.955847 | − | 0.293865i | \(-0.905058\pi\) |
−0.223429 | + | 0.974720i | \(0.571725\pi\) | |||||||
\(488\) | 281.834 | + | 108.125i | 0.577528 | + | 0.221567i | ||||
\(489\) | −76.8211 | −0.157098 | ||||||||
\(490\) | 220.554 | + | 10.2374i | 0.450110 | + | 0.0208927i | ||||
\(491\) | − | 652.191i | − | 1.32829i | −0.747603 | − | 0.664146i | \(-0.768795\pi\) | ||
0.747603 | − | 0.664146i | \(-0.231205\pi\) | |||||||
\(492\) | −190.543 | + | 138.474i | −0.387282 | + | 0.281451i | ||||
\(493\) | 163.140 | + | 282.567i | 0.330913 | + | 0.573158i | ||||
\(494\) | −176.385 | + | 346.229i | −0.357055 | + | 0.700869i | ||||
\(495\) | 104.154 | + | 60.1335i | 0.210413 | + | 0.121482i | ||||
\(496\) | 607.921 | − | 547.653i | 1.22565 | − | 1.10414i | ||||
\(497\) | −23.7609 | − | 110.183i | −0.0478086 | − | 0.221697i | ||||
\(498\) | −118.430 | + | 76.9200i | −0.237811 | + | 0.154458i | ||||
\(499\) | 435.198 | + | 251.262i | 0.872141 | + | 0.503531i | 0.868059 | − | 0.496461i | \(-0.165367\pi\) |
0.00408169 | + | 0.999992i | \(0.498701\pi\) | |||||||
\(500\) | 402.628 | − | 42.3692i | 0.805256 | − | 0.0847385i | ||||
\(501\) | −160.663 | − | 278.276i | −0.320684 | − | 0.555441i | ||||
\(502\) | 589.749 | − | 30.9447i | 1.17480 | − | 0.0616429i | ||||
\(503\) | 241.960i | 0.481033i | 0.970645 | + | 0.240517i | \(0.0773169\pi\) | ||||
−0.970645 | + | 0.240517i | \(0.922683\pi\) | |||||||
\(504\) | −301.930 | − | 46.8478i | −0.599067 | − | 0.0929520i | ||||
\(505\) | −342.167 | −0.677558 | ||||||||
\(506\) | −4.20650 | − | 80.1680i | −0.00831324 | − | 0.158435i | ||||
\(507\) | −172.170 | + | 99.4023i | −0.339586 | + | 0.196060i | ||||
\(508\) | −85.6210 | − | 813.642i | −0.168545 | − | 1.60166i | ||||
\(509\) | 293.720 | − | 508.738i | 0.577053 | − | 0.999485i | −0.418762 | − | 0.908096i | \(-0.637536\pi\) |
0.995815 | − | 0.0913892i | \(-0.0291307\pi\) | |||||||
\(510\) | −121.886 | − | 187.663i | −0.238993 | − | 0.367966i | ||||
\(511\) | −89.6428 | − | 98.9684i | −0.175426 | − | 0.193676i | ||||
\(512\) | −232.702 | − | 456.063i | −0.454496 | − | 0.890749i | ||||
\(513\) | 332.028 | − | 575.090i | 0.647228 | − | 1.12103i | ||||
\(514\) | 241.306 | + | 122.932i | 0.469466 | + | 0.239168i | ||||
\(515\) | 117.770 | − | 67.9944i | 0.228679 | − | 0.132028i | ||||
\(516\) | 94.7576 | + | 130.388i | 0.183639 | + | 0.252690i | ||||
\(517\) | −445.298 | −0.861311 | ||||||||
\(518\) | 454.160 | + | 120.223i | 0.876756 | + | 0.232091i | ||||
\(519\) | 21.2836i | 0.0410089i | ||||||||
\(520\) | −133.984 | − | 51.4027i | −0.257662 | − | 0.0988514i | ||||
\(521\) | 21.2895 | + | 36.8746i | 0.0408628 | + | 0.0707765i | 0.885733 | − | 0.464194i | \(-0.153656\pi\) |
−0.844871 | + | 0.534971i | \(0.820323\pi\) | |||||||
\(522\) | −120.260 | − | 61.2659i | −0.230383 | − | 0.117368i | ||||
\(523\) | −34.4346 | − | 19.8808i | −0.0658406 | − | 0.0380131i | 0.466718 | − | 0.884406i | \(-0.345436\pi\) |
−0.532559 | + | 0.846393i | \(0.678770\pi\) | |||||||
\(524\) | 350.330 | + | 155.924i | 0.668569 | + | 0.297565i | ||||
\(525\) | 249.941 | + | 80.3947i | 0.476079 | + | 0.153133i | ||||
\(526\) | −192.608 | − | 296.549i | −0.366175 | − | 0.563782i | ||||
\(527\) | −1168.32 | − | 674.530i | −2.21693 | − | 1.27994i | ||||
\(528\) | −90.9938 | + | 280.291i | −0.172337 | + | 0.530853i | ||||
\(529\) | −256.084 | − | 443.551i | −0.484091 | − | 0.838471i | ||||
\(530\) | −3.73255 | − | 71.1354i | −0.00704254 | − | 0.134218i | ||||
\(531\) | − | 343.369i | − | 0.646645i | ||||||
\(532\) | 668.742 | + | 139.992i | 1.25703 | + | 0.263143i | ||||
\(533\) | 249.058 | 0.467276 | ||||||||
\(534\) | −35.3664 | + | 1.85571i | −0.0662293 | + | 0.00347512i | ||||
\(535\) | −395.259 | + | 228.203i | −0.738803 | + | 0.426548i | ||||
\(536\) | −163.839 | − | 202.245i | −0.305669 | − | 0.377324i | ||||
\(537\) | 140.480 | − | 243.319i | 0.261602 | − | 0.453108i | ||||
\(538\) | 229.655 | − | 149.160i | 0.426868 | − | 0.277250i | ||||
\(539\) | −279.489 | + | 389.507i | −0.518533 | + | 0.722647i | ||||
\(540\) | 224.059 | + | 99.7234i | 0.414923 | + | 0.184673i | ||||
\(541\) | 97.3819 | − | 168.670i | 0.180003 | − | 0.311775i | −0.761878 | − | 0.647721i | \(-0.775722\pi\) |
0.941881 | + | 0.335945i | \(0.109056\pi\) | |||||||
\(542\) | 127.710 | − | 250.683i | 0.235626 | − | 0.462515i | ||||
\(543\) | −372.669 | + | 215.161i | −0.686316 | + | 0.396245i | ||||
\(544\) | −596.728 | + | 597.105i | −1.09693 | + | 1.09762i | ||||
\(545\) | 51.2216 | 0.0939846 | ||||||||
\(546\) | −148.828 | − | 147.932i | −0.272579 | − | 0.270938i | ||||
\(547\) | 654.589i | 1.19669i | 0.801239 | + | 0.598345i | \(0.204175\pi\) | ||||
−0.801239 | + | 0.598345i | \(0.795825\pi\) | |||||||
\(548\) | 102.169 | + | 140.586i | 0.186439 | + | 0.256543i | ||||
\(549\) | 102.937 | + | 178.293i | 0.187500 | + | 0.324759i | ||||
\(550\) | −176.974 | + | 347.385i | −0.321771 | + | 0.631609i | ||||
\(551\) | 261.370 | + | 150.902i | 0.474356 | + | 0.273870i | ||||
\(552\) | −9.67702 | − | 61.0236i | −0.0175308 | − | 0.110550i | ||||
\(553\) | −38.0350 | − | 12.2341i | −0.0687794 | − | 0.0221232i | ||||
\(554\) | 599.976 | − | 389.683i | 1.08299 | − | 0.703399i | ||||
\(555\) | −123.257 | − | 71.1627i | −0.222086 | − | 0.128221i | ||||
\(556\) | 12.5116 | + | 118.895i | 0.0225028 | + | 0.213841i | ||||
\(557\) | 57.3202 | + | 99.2814i | 0.102909 | + | 0.178243i | 0.912882 | − | 0.408224i | \(-0.133852\pi\) |
−0.809973 | + | 0.586467i | \(0.800518\pi\) | |||||||
\(558\) | 557.275 | − | 29.2408i | 0.998700 | − | 0.0524028i | ||||
\(559\) | − | 170.430i | − | 0.304884i | ||||||
\(560\) | −25.5705 | + | 251.034i | −0.0456617 | + | 0.448275i | ||||
\(561\) | 485.876 | 0.866089 | ||||||||
\(562\) | 25.0226 | + | 476.884i | 0.0445242 | + | 0.848548i | ||||
\(563\) | 723.398 | − | 417.654i | 1.28490 | − | 0.741836i | 0.307158 | − | 0.951658i | \(-0.400622\pi\) |
0.977740 | + | 0.209822i | \(0.0672885\pi\) | |||||||
\(564\) | −340.841 | + | 35.8673i | −0.604328 | + | 0.0635945i | ||||
\(565\) | −61.7832 | + | 107.012i | −0.109351 | + | 0.189401i | ||||
\(566\) | −179.485 | − | 276.345i | −0.317111 | − | 0.488241i | ||||
\(567\) | 9.98926 | + | 11.0284i | 0.0176177 | + | 0.0194505i | ||||
\(568\) | 127.229 | − | 20.1757i | 0.223994 | − | 0.0355206i | ||||
\(569\) | −208.648 | + | 361.389i | −0.366692 | + | 0.635130i | −0.989046 | − | 0.147606i | \(-0.952843\pi\) |
0.622354 | + | 0.782736i | \(0.286177\pi\) | |||||||
\(570\) | −184.431 | − | 93.9576i | −0.323563 | − | 0.164838i | ||||
\(571\) | −279.910 | + | 161.606i | −0.490211 | + | 0.283023i | −0.724662 | − | 0.689105i | \(-0.758004\pi\) |
0.234451 | + | 0.972128i | \(0.424671\pi\) | |||||||
\(572\) | 252.064 | − | 183.184i | 0.440671 | − | 0.320251i | ||||
\(573\) | 116.827 | 0.203886 | ||||||||
\(574\) | −114.621 | − | 422.662i | −0.199688 | − | 0.736345i | ||||
\(575\) | − | 81.7411i | − | 0.142158i | ||||||
\(576\) | 72.4717 | − | 341.588i | 0.125819 | − | 0.593035i | ||||
\(577\) | −97.2563 | − | 168.453i | −0.168555 | − | 0.291946i | 0.769357 | − | 0.638819i | \(-0.220577\pi\) |
−0.937912 | + | 0.346873i | \(0.887243\pi\) | |||||||
\(578\) | 725.155 | + | 369.427i | 1.25459 | + | 0.639147i | ||||
\(579\) | 351.712 | + | 203.061i | 0.607448 | + | 0.350710i | ||||
\(580\) | −45.3229 | + | 101.831i | −0.0781429 | + | 0.175572i | ||||
\(581\) | −55.3469 | − | 256.653i | −0.0952614 | − | 0.441743i | ||||
\(582\) | 132.061 | + | 203.328i | 0.226909 | + | 0.349361i | ||||
\(583\) | 133.948 | + | 77.3347i | 0.229756 | + | 0.132650i | ||||
\(584\) | 118.580 | − | 96.0612i | 0.203048 | − | 0.164488i | ||||
\(585\) | −48.9367 | − | 84.7609i | −0.0836525 | − | 0.144890i | ||||
\(586\) | −19.0262 | − | 362.603i | −0.0324679 | − | 0.618777i | ||||
\(587\) | − | 89.0247i | − | 0.151661i | −0.997121 | − | 0.0758303i | \(-0.975839\pi\) | ||
0.997121 | − | 0.0758303i | \(-0.0241607\pi\) | |||||||
\(588\) | −182.554 | + | 320.649i | −0.310466 | + | 0.545322i | ||||
\(589\) | −1247.86 | −2.11861 | ||||||||
\(590\) | −283.182 | + | 14.8588i | −0.479969 | + | 0.0251845i | ||||
\(591\) | 43.5684 | − | 25.1542i | 0.0737198 | − | 0.0425621i | ||||
\(592\) | −165.788 | + | 510.681i | −0.280047 | + | 0.862636i | ||||
\(593\) | −483.814 | + | 837.990i | −0.815875 | + | 1.41314i | 0.0928226 | + | 0.995683i | \(0.470411\pi\) |
−0.908698 | + | 0.417455i | \(0.862922\pi\) | |||||||
\(594\) | −446.583 | + | 290.054i | −0.751823 | + | 0.488307i | ||||
\(595\) | 406.688 | − | 87.7018i | 0.683510 | − | 0.147398i | ||||
\(596\) | −431.571 | + | 969.652i | −0.724112 | + | 1.62693i | ||||
\(597\) | −54.1919 | + | 93.8632i | −0.0907738 | + | 0.157225i | ||||
\(598\) | −29.6558 | + | 58.2119i | −0.0495916 | + | 0.0973442i | ||||
\(599\) | 359.686 | − | 207.665i | 0.600478 | − | 0.346686i | −0.168752 | − | 0.985659i | \(-0.553974\pi\) |
0.769230 | + | 0.638973i | \(0.220640\pi\) | |||||||
\(600\) | −107.479 | + | 280.151i | −0.179132 | + | 0.466918i | ||||
\(601\) | 151.370 | 0.251864 | 0.125932 | − | 0.992039i | \(-0.459808\pi\) | ||||
0.125932 | + | 0.992039i | \(0.459808\pi\) | |||||||
\(602\) | −289.227 | + | 78.4349i | −0.480443 | + | 0.130291i | ||||
\(603\) | − | 177.516i | − | 0.294387i | ||||||
\(604\) | 640.722 | − | 465.635i | 1.06080 | − | 0.770919i | ||||
\(605\) | −28.4747 | − | 49.3196i | −0.0470656 | − | 0.0815200i | ||||
\(606\) | 259.564 | − | 509.503i | 0.428324 | − | 0.840764i | ||||
\(607\) | −559.020 | − | 322.750i | −0.920955 | − | 0.531714i | −0.0370156 | − | 0.999315i | \(-0.511785\pi\) |
−0.883940 | + | 0.467601i | \(0.845118\pi\) | |||||||
\(608\) | −201.859 | + | 754.300i | −0.332005 | + | 1.24062i | ||||
\(609\) | −120.799 | + | 109.416i | −0.198356 | + | 0.179666i | ||||
\(610\) | 142.587 | − | 92.6097i | 0.233749 | − | 0.151819i | ||||
\(611\) | 313.834 | + | 181.192i | 0.513640 | + | 0.296550i | ||||
\(612\) | −572.573 | + | 60.2529i | −0.935577 | + | 0.0984525i | ||||
\(613\) | 321.584 | + | 556.999i | 0.524606 | + | 0.908645i | 0.999590 | + | 0.0286501i | \(0.00912087\pi\) |
−0.474983 | + | 0.879995i | \(0.657546\pi\) | |||||||
\(614\) | −1033.16 | + | 54.2112i | −1.68268 | + | 0.0882918i | ||||
\(615\) | 132.669i | 0.215722i | ||||||||
\(616\) | −426.875 | − | 343.459i | −0.692979 | − | 0.557563i | ||||
\(617\) | 180.290 | 0.292204 | 0.146102 | − | 0.989270i | \(-0.453327\pi\) | ||||
0.146102 | + | 0.989270i | \(0.453327\pi\) | |||||||
\(618\) | 11.9080 | + | 226.945i | 0.0192686 | + | 0.367224i | ||||
\(619\) | 249.974 | − | 144.322i | 0.403835 | − | 0.233154i | −0.284302 | − | 0.958735i | \(-0.591762\pi\) |
0.688137 | + | 0.725580i | \(0.258429\pi\) | |||||||
\(620\) | −48.2307 | − | 458.328i | −0.0777915 | − | 0.739239i | ||||
\(621\) | 55.8242 | − | 96.6903i | 0.0898940 | − | 0.155701i | ||||
\(622\) | −419.019 | − | 645.143i | −0.673664 | − | 1.03721i | ||||
\(623\) | 20.1617 | − | 62.6813i | 0.0323623 | − | 0.100612i | ||||
\(624\) | 178.180 | − | 160.516i | 0.285545 | − | 0.257237i | ||||
\(625\) | −135.037 | + | 233.891i | −0.216059 | + | 0.374225i | ||||
\(626\) | 66.7235 | + | 33.9920i | 0.106587 | + | 0.0543003i | ||||
\(627\) | 389.216 | − | 224.714i | 0.620760 | − | 0.358396i | ||||
\(628\) | −448.095 | − | 616.586i | −0.713527 | − | 0.981826i | ||||
\(629\) | 885.250 | 1.40739 | ||||||||
\(630\) | −121.321 | + | 122.056i | −0.192573 | + | 0.193740i | ||||
\(631\) | 1014.52i | 1.60780i | 0.594765 | + | 0.803900i | \(0.297245\pi\) | ||||
−0.594765 | + | 0.803900i | \(0.702755\pi\) | |||||||
\(632\) | 16.3557 | − | 42.6322i | 0.0258793 | − | 0.0674560i | ||||
\(633\) | −206.835 | − | 358.248i | −0.326753 | − | 0.565953i | ||||
\(634\) | −337.911 | − | 172.147i | −0.532983 | − | 0.271526i | ||||
\(635\) | −399.072 | − | 230.404i | −0.628460 | − | 0.362841i | ||||
\(636\) | 108.756 | + | 48.4046i | 0.170999 | + | 0.0761079i | ||||
\(637\) | 355.467 | − | 160.789i | 0.558033 | − | 0.252417i | ||||
\(638\) | −131.826 | − | 202.966i | −0.206623 | − | 0.318128i | ||||
\(639\) | 76.0856 | + | 43.9281i | 0.119070 | + | 0.0687450i | ||||
\(640\) | −284.850 | − | 44.9868i | −0.445078 | − | 0.0702919i | ||||
\(641\) | 428.972 | + | 743.001i | 0.669222 | + | 1.15913i | 0.978122 | + | 0.208033i | \(0.0667060\pi\) |
−0.308899 | + | 0.951095i | \(0.599961\pi\) | |||||||
\(642\) | −39.9658 | − | 761.673i | −0.0622520 | − | 1.18641i | ||||
\(643\) | 925.548i | 1.43942i | 0.694274 | + | 0.719711i | \(0.255726\pi\) | ||||
−0.694274 | + | 0.719711i | \(0.744274\pi\) | |||||||
\(644\) | 112.436 | + | 23.5370i | 0.174590 | + | 0.0365481i | ||||
\(645\) | 90.7853 | 0.140752 | ||||||||
\(646\) | 1285.66 | − | 67.4598i | 1.99018 | − | 0.104427i | ||||
\(647\) | 998.856 | − | 576.690i | 1.54383 | − | 0.891328i | 0.545234 | − | 0.838284i | \(-0.316441\pi\) |
0.998592 | − | 0.0530446i | \(-0.0168926\pi\) | |||||||
\(648\) | −13.2138 | + | 10.7045i | −0.0203917 | + | 0.0165193i | ||||
\(649\) | 307.860 | − | 533.230i | 0.474361 | − | 0.821618i | ||||
\(650\) | 266.078 | − | 172.817i | 0.409350 | − | 0.265872i | ||||
\(651\) | 206.348 | − | 641.522i | 0.316971 | − | 0.985441i | ||||
\(652\) | 149.127 | + | 66.3730i | 0.228722 | + | 0.101799i | ||||
\(653\) | −242.660 | + | 420.299i | −0.371607 | + | 0.643643i | −0.989813 | − | 0.142374i | \(-0.954527\pi\) |
0.618206 | + | 0.786016i | \(0.287860\pi\) | |||||||
\(654\) | −38.8562 | + | 76.2715i | −0.0594131 | + | 0.116623i | ||||
\(655\) | 187.046 | − | 107.991i | 0.285567 | − | 0.164872i | ||||
\(656\) | 489.526 | − | 104.181i | 0.746229 | − | 0.158813i | ||||
\(657\) | 104.080 | 0.158417 | ||||||||
\(658\) | 163.059 | − | 615.977i | 0.247809 | − | 0.936136i | ||||
\(659\) | − | 659.367i | − | 1.00056i | −0.865864 | − | 0.500279i | \(-0.833231\pi\) | ||
0.865864 | − | 0.500279i | \(-0.166769\pi\) | |||||||
\(660\) | 97.5790 | + | 134.270i | 0.147847 | + | 0.203440i | ||||
\(661\) | −563.692 | − | 976.343i | −0.852787 | − | 1.47707i | −0.878683 | − | 0.477405i | \(-0.841577\pi\) |
0.0258969 | − | 0.999665i | \(-0.491756\pi\) | |||||||
\(662\) | −325.336 | + | 638.608i | −0.491444 | + | 0.964664i | ||||
\(663\) | −342.432 | − | 197.703i | −0.516489 | − | 0.298195i | ||||
\(664\) | 296.357 | − | 46.9959i | 0.446321 | − | 0.0707769i | ||||
\(665\) | 285.221 | − | 258.345i | 0.428903 | − | 0.388489i | ||||
\(666\) | −307.096 | + | 199.458i | −0.461106 | + | 0.299487i | ||||
\(667\) | 43.9444 | + | 25.3713i | 0.0658837 | + | 0.0380380i | ||||
\(668\) | 71.4531 | + | 679.006i | 0.106966 | + | 1.01648i | ||||
\(669\) | 48.4911 | + | 83.9890i | 0.0724829 | + | 0.125544i | ||||
\(670\) | −146.400 | + | 7.68177i | −0.218508 | + | 0.0114653i | ||||
\(671\) | 369.170i | 0.550179i | ||||||||
\(672\) | −354.404 | − | 228.507i | −0.527387 | − | 0.340041i | ||||
\(673\) | 860.169 | 1.27811 | 0.639055 | − | 0.769161i | \(-0.279325\pi\) | ||||
0.639055 | + | 0.769161i | \(0.279325\pi\) | |||||||
\(674\) | −27.7063 | − | 528.030i | −0.0411073 | − | 0.783428i | ||||
\(675\) | −469.571 | + | 271.107i | −0.695660 | + | 0.401640i | ||||
\(676\) | 420.103 | − | 44.2082i | 0.621454 | − | 0.0653967i | ||||
\(677\) | −291.690 | + | 505.222i | −0.430857 | + | 0.746266i | −0.996947 | − | 0.0780768i | \(-0.975122\pi\) |
0.566090 | + | 0.824343i | \(0.308455\pi\) | |||||||
\(678\) | −112.477 | − | 173.176i | −0.165896 | − | 0.255422i | ||||
\(679\) | −440.637 | + | 95.0229i | −0.648951 | + | 0.139945i | ||||
\(680\) | 74.4690 | + | 469.603i | 0.109513 | + | 0.690593i | ||||
\(681\) | −172.077 | + | 298.047i | −0.252683 | + | 0.437660i | ||||
\(682\) | 891.630 | + | 454.237i | 1.30738 | + | 0.666037i | ||||
\(683\) | −740.973 | + | 427.801i | −1.08488 | + | 0.626356i | −0.932209 | − | 0.361921i | \(-0.882121\pi\) |
−0.152671 | + | 0.988277i | \(0.548788\pi\) | |||||||
\(684\) | −430.800 | + | 313.077i | −0.629824 | + | 0.457715i | ||||
\(685\) | 97.8857 | 0.142899 | ||||||||
\(686\) | −436.459 | − | 529.244i | −0.636237 | − | 0.771493i | ||||
\(687\) | − | 393.296i | − | 0.572484i | ||||||
\(688\) | −71.2910 | − | 334.982i | −0.103621 | − | 0.486892i | ||||
\(689\) | −62.9351 | − | 109.007i | −0.0913426 | − | 0.158210i | ||||
\(690\) | −31.0085 | − | 15.7972i | −0.0449399 | − | 0.0228944i | ||||
\(691\) | −895.471 | − | 517.000i | −1.29591 | − | 0.748191i | −0.316211 | − | 0.948689i | \(-0.602411\pi\) |
−0.979694 | + | 0.200498i | \(0.935744\pi\) | |||||||
\(692\) | 18.3889 | − | 41.3162i | 0.0265736 | − | 0.0597055i | ||||
\(693\) | −78.7708 | − | 365.274i | −0.113666 | − | 0.527091i | ||||
\(694\) | 628.966 | + | 968.389i | 0.906291 | + | 1.39537i | ||||
\(695\) | 58.3154 | + | 33.6684i | 0.0839070 | + | 0.0484437i | ||||
\(696\) | −117.251 | − | 144.736i | −0.168463 | − | 0.207955i | ||||
\(697\) | −412.595 | − | 714.635i | −0.591958 | − | 1.02530i | ||||
\(698\) | 45.3669 | + | 864.609i | 0.0649956 | + | 1.23869i | ||||
\(699\) | 510.097i | 0.729753i | ||||||||
\(700\) | −415.731 | − | 372.012i | −0.593901 | − | 0.531445i | ||||
\(701\) | −540.208 | −0.770624 | −0.385312 | − | 0.922786i | \(-0.625906\pi\) | ||||
−0.385312 | + | 0.922786i | \(0.625906\pi\) | |||||||
\(702\) | 432.763 | − | 22.7075i | 0.616471 | − | 0.0323469i | ||||
\(703\) | 709.140 | − | 409.422i | 1.00873 | − | 0.582392i | ||||
\(704\) | 418.808 | − | 465.488i | 0.594898 | − | 0.661205i | ||||
\(705\) | −96.5181 | + | 167.174i | −0.136905 | + | 0.237127i | ||||
\(706\) | −764.610 | + | 496.612i | −1.08302 | + | 0.703417i | ||||
\(707\) | 713.696 | + | 787.942i | 1.00947 | + | 1.11449i | ||||
\(708\) | 192.693 | − | 432.943i | 0.272166 | − | 0.611502i | ||||
\(709\) | −130.970 | + | 226.846i | −0.184724 | + | 0.319952i | −0.943484 | − | 0.331419i | \(-0.892473\pi\) |
0.758759 | + | 0.651371i | \(0.225806\pi\) | |||||||
\(710\) | 32.9357 | − | 64.6500i | 0.0463883 | − | 0.0910563i | ||||
\(711\) | 26.9699 | − | 15.5711i | 0.0379323 | − | 0.0219002i | ||||
\(712\) | 70.2574 | + | 26.9540i | 0.0986761 | + | 0.0378568i | ||||
\(713\) | −209.804 | −0.294255 | ||||||||
\(714\) | −177.917 | + | 672.109i | −0.249184 | + | 0.941329i | ||||
\(715\) | − | 175.504i | − | 0.245461i | ||||||
\(716\) | −482.930 | + | 350.962i | −0.674483 | + | 0.490171i | ||||
\(717\) | −225.505 | − | 390.586i | −0.314512 | − | 0.544750i | ||||
\(718\) | 210.451 | − | 413.097i | 0.293107 | − | 0.575345i | ||||
\(719\) | −32.7070 | − | 18.8834i | −0.0454896 | − | 0.0262634i | 0.477083 | − | 0.878858i | \(-0.341694\pi\) |
−0.522572 | + | 0.852595i | \(0.675028\pi\) | |||||||
\(720\) | −131.641 | − | 146.128i | −0.182835 | − | 0.202956i | ||||
\(721\) | −402.223 | − | 129.377i | −0.557868 | − | 0.179441i | ||||
\(722\) | 393.195 | − | 255.379i | 0.544592 | − | 0.353711i | ||||
\(723\) | −684.435 | − | 395.159i | −0.946660 | − | 0.546554i | ||||
\(724\) | 909.331 | − | 95.6906i | 1.25598 | − | 0.132169i | ||||
\(725\) | −123.214 | − | 213.413i | −0.169951 | − | 0.294363i | ||||
\(726\) | 95.0399 | − | 4.98684i | 0.130909 | − | 0.00686893i | ||||
\(727\) | 131.306i | 0.180613i | 0.995914 | + | 0.0903066i | \(0.0287847\pi\) | ||||
−0.995914 | + | 0.0903066i | \(0.971215\pi\) | |||||||
\(728\) | 161.096 | + | 415.756i | 0.221286 | + | 0.571093i | ||||
\(729\) | −472.675 | −0.648388 | ||||||||
\(730\) | −4.50394 | − | 85.8367i | −0.00616978 | − | 0.117585i | ||||
\(731\) | −489.023 | + | 282.338i | −0.668979 | + | 0.386235i | ||||
\(732\) | 29.7355 | + | 282.571i | 0.0406222 | + | 0.386026i | ||||
\(733\) | −201.155 | + | 348.411i | −0.274427 | + | 0.475321i | −0.969990 | − | 0.243143i | \(-0.921821\pi\) |
0.695563 | + | 0.718465i | \(0.255155\pi\) | |||||||
\(734\) | 269.903 | + | 415.557i | 0.367715 | + | 0.566153i | ||||
\(735\) | 85.6499 | + | 189.352i | 0.116531 | + | 0.257621i | ||||
\(736\) | −33.9387 | + | 126.821i | −0.0461124 | + | 0.172311i | ||||
\(737\) | 159.159 | − | 275.671i | 0.215955 | − | 0.374044i | ||||
\(738\) | 304.147 | + | 154.946i | 0.412123 | + | 0.209955i | ||||
\(739\) | −734.798 | + | 424.236i | −0.994314 | + | 0.574068i | −0.906561 | − | 0.422075i | \(-0.861302\pi\) |
−0.0877533 | + | 0.996142i | \(0.527969\pi\) | |||||||
\(740\) | 177.786 | + | 244.636i | 0.240251 | + | 0.330590i | ||||
\(741\) | −365.745 | −0.493583 | ||||||||
\(742\) | −156.025 | + | 156.970i | −0.210277 | + | 0.211550i | ||||
\(743\) | 229.180i | 0.308452i | 0.988036 | + | 0.154226i | \(0.0492883\pi\) | ||||
−0.988036 | + | 0.154226i | \(0.950712\pi\) | |||||||
\(744\) | 719.061 | + | 275.865i | 0.966479 | + | 0.370787i | ||||
\(745\) | 298.901 | + | 517.712i | 0.401209 | + | 0.694915i | ||||
\(746\) | −644.695 | − | 328.437i | −0.864203 | − | 0.440265i | ||||
\(747\) | 177.228 | + | 102.323i | 0.237253 | + | 0.136978i | ||||
\(748\) | −943.193 | − | 419.794i | −1.26095 | − | 0.561222i | ||||
\(749\) | 1349.94 | + | 434.215i | 1.80233 | + | 0.579726i | ||||
\(750\) | 207.566 | + | 319.579i | 0.276754 | + | 0.426105i | ||||
\(751\) | 197.207 | + | 113.858i | 0.262593 | + | 0.151608i | 0.625517 | − | 0.780211i | \(-0.284888\pi\) |
−0.362924 | + | 0.931819i | \(0.618222\pi\) | |||||||
\(752\) | 692.637 | + | 224.858i | 0.921060 | + | 0.299013i | ||||
\(753\) | 277.935 | + | 481.398i | 0.369104 | + | 0.639307i | ||||
\(754\) | 10.3202 | + | 196.685i | 0.0136873 | + | 0.260855i | ||||
\(755\) | − | 446.116i | − | 0.590882i | ||||||
\(756\) | −237.701 | − | 723.966i | −0.314419 | − | 0.957627i | ||||
\(757\) | 395.989 | 0.523103 | 0.261551 | − | 0.965190i | \(-0.415766\pi\) | ||||
0.261551 | + | 0.965190i | \(0.415766\pi\) | |||||||
\(758\) | −61.6322 | + | 3.23391i | −0.0813090 | + | 0.00426637i | ||||
\(759\) | 65.4393 | − | 37.7814i | 0.0862177 | − | 0.0497778i | ||||
\(760\) | 276.842 | + | 341.740i | 0.364266 | + | 0.449657i | ||||
\(761\) | 270.903 | − | 469.217i | 0.355982 | − | 0.616579i | −0.631303 | − | 0.775536i | \(-0.717480\pi\) |
0.987286 | + | 0.158957i | \(0.0508130\pi\) | |||||||
\(762\) | 645.815 | − | 419.455i | 0.847526 | − | 0.550466i | ||||
\(763\) | −106.839 | − | 117.953i | −0.140024 | − | 0.154591i | ||||
\(764\) | −226.787 | − | 100.938i | −0.296841 | − | 0.132117i | ||||
\(765\) | −162.139 | + | 280.833i | −0.211947 | + | 0.367103i | ||||
\(766\) | −505.031 | + | 991.334i | −0.659310 | + | 1.29417i | ||||
\(767\) | −433.943 | + | 250.537i | −0.565767 | + | 0.326646i | ||||
\(768\) | 283.072 | − | 390.029i | 0.368583 | − | 0.507850i | ||||
\(769\) | 562.551 | 0.731536 | 0.365768 | − | 0.930706i | \(-0.380806\pi\) | ||||
0.365768 | + | 0.930706i | \(0.380806\pi\) | |||||||
\(770\) | −297.839 | + | 80.7703i | −0.386803 | + | 0.104897i | ||||
\(771\) | 254.907i | 0.330619i | ||||||||
\(772\) | −507.308 | − | 698.064i | −0.657134 | − | 0.904228i | ||||
\(773\) | −725.107 | − | 1255.92i | −0.938042 | − | 1.62474i | −0.769117 | − | 0.639108i | \(-0.779303\pi\) |
−0.168926 | − | 0.985629i | \(-0.554030\pi\) | |||||||
\(774\) | 106.030 | − | 208.127i | 0.136989 | − | 0.268898i | ||||
\(775\) | 882.394 | + | 509.450i | 1.13857 | + | 0.657355i | ||||
\(776\) | −80.6854 | − | 508.804i | −0.103976 | − | 0.655676i | ||||
\(777\) | 93.2183 | + | 432.269i | 0.119972 | + | 0.556331i | ||||
\(778\) | −645.988 | + | 419.567i | −0.830318 | + | 0.539289i | ||||
\(779\) | −661.027 | − | 381.644i | −0.848559 | − | 0.489915i | ||||
\(780\) | −14.1363 | − | 134.335i | −0.0181235 | − | 0.172224i | ||||
\(781\) | 78.7708 | + | 136.435i | 0.100859 | + | 0.174693i | ||||
\(782\) | 216.159 | − | 11.3421i | 0.276418 | − | 0.0145039i | ||||
\(783\) | − | 336.592i | − | 0.429874i | ||||||
\(784\) | 631.416 | − | 464.725i | 0.805378 | − | 0.592762i | ||||
\(785\) | −429.311 | −0.546893 | ||||||||
\(786\) | 18.9128 | + | 360.442i | 0.0240621 | + | 0.458578i | ||||
\(787\) | 12.6982 | − | 7.33131i | 0.0161349 | − | 0.00931551i | −0.491911 | − | 0.870646i | \(-0.663701\pi\) |
0.508046 | + | 0.861330i | \(0.330368\pi\) | |||||||
\(788\) | −106.309 | + | 11.1871i | −0.134910 | + | 0.0141968i | ||||
\(789\) | 166.419 | − | 288.246i | 0.210924 | − | 0.365331i | ||||
\(790\) | −14.0088 | − | 21.5687i | −0.0177327 | − | 0.0273021i | ||||
\(791\) | 375.294 | − | 80.9318i | 0.474456 | − | 0.102316i | ||||
\(792\) | 421.782 | − | 66.8855i | 0.532553 | − | 0.0844514i | ||||
\(793\) | 150.216 | − | 260.181i | 0.189427 | − | 0.328097i | ||||
\(794\) | −951.660 | − | 484.819i | −1.19856 | − | 0.610604i | ||||
\(795\) | 58.0661 | − | 33.5245i | 0.0730392 | − | 0.0421692i | ||||
\(796\) | 186.296 | − | 135.388i | 0.234040 | − | 0.170085i | ||||
\(797\) | 311.037 | 0.390259 | 0.195130 | − | 0.980777i | \(-0.437487\pi\) | ||||
0.195130 | + | 0.980777i | \(0.437487\pi\) | |||||||
\(798\) | 168.323 | + | 620.685i | 0.210931 | + | 0.777801i | ||||
\(799\) | − | 1200.67i | − | 1.50271i | ||||||
\(800\) | 450.689 | − | 450.974i | 0.563361 | − | 0.563717i | ||||
\(801\) | 25.6609 | + | 44.4460i | 0.0320361 | + | 0.0554882i | ||||
\(802\) | −322.944 | − | 164.522i | −0.402673 | − | 0.205140i | ||||
\(803\) | 161.630 | + | 93.3172i | 0.201283 | + | 0.116211i | ||||
\(804\) | 99.6191 | − | 223.824i | 0.123904 | − | 0.278388i | ||||
\(805\) | 47.9544 | − | 43.4358i | 0.0595707 | − | 0.0539575i | ||||
\(806\) | −443.567 | − | 682.939i | −0.550331 | − | 0.847318i | ||||
\(807\) | 223.225 | + | 128.879i | 0.276611 | + | 0.159701i | ||||
\(808\) | −944.079 | + | 764.796i | −1.16841 | + | 0.946529i | ||||
\(809\) | −356.263 | − | 617.066i | −0.440375 | − | 0.762752i | 0.557342 | − | 0.830283i | \(-0.311821\pi\) |
−0.997717 | + | 0.0675310i | \(0.978488\pi\) | |||||||
\(810\) | 0.501892 | + | 9.56513i | 0.000619620 | + | 0.0118088i | ||||
\(811\) | − | 730.981i | − | 0.901333i | −0.892692 | − | 0.450666i | \(-0.851186\pi\) | ||
0.892692 | − | 0.450666i | \(-0.148814\pi\) | |||||||
\(812\) | 329.033 | − | 108.032i | 0.405213 | − | 0.133044i | ||||
\(813\) | 264.813 | 0.325724 | ||||||||
\(814\) | −655.734 | + | 34.4070i | −0.805570 | + | 0.0422691i | ||||
\(815\) | 79.6210 | − | 45.9692i | 0.0976944 | − | 0.0564039i | ||||
\(816\) | −755.754 | − | 245.348i | −0.926169 | − | 0.300672i | ||||
\(817\) | −261.158 | + | 452.340i | −0.319655 | + | 0.553659i | ||||
\(818\) | 765.031 | − | 496.886i | 0.935246 | − | 0.607440i | ||||
\(819\) | −93.1146 | + | 289.487i | −0.113693 | + | 0.353464i | ||||
\(820\) | 114.625 | − | 257.540i | 0.139787 | − | 0.314073i | ||||
\(821\) | −342.938 | + | 593.986i | −0.417707 | + | 0.723490i | −0.995708 | − | 0.0925456i | \(-0.970500\pi\) |
0.578001 | + | 0.816036i | \(0.303833\pi\) | |||||||
\(822\) | −74.2551 | + | 145.756i | −0.0903346 | + | 0.177319i | ||||
\(823\) | 1283.41 | − | 740.978i | 1.55943 | − | 0.900338i | 0.562121 | − | 0.827055i | \(-0.309986\pi\) |
0.997311 | − | 0.0732832i | \(-0.0233477\pi\) | |||||||
\(824\) | 172.963 | − | 450.838i | 0.209906 | − | 0.547134i | ||||
\(825\) | −366.966 | −0.444807 | ||||||||
\(826\) | 624.881 | + | 621.118i | 0.756514 | + | 0.751959i | ||||
\(827\) | 591.272i | 0.714960i | 0.933921 | + | 0.357480i | \(0.116364\pi\) | ||||
−0.933921 | + | 0.357480i | \(0.883636\pi\) | |||||||
\(828\) | −72.4307 | + | 52.6380i | −0.0874767 | + | 0.0635724i | ||||
\(829\) | 340.609 | + | 589.952i | 0.410867 | + | 0.711643i | 0.994985 | − | 0.100026i | \(-0.0318926\pi\) |
−0.584118 | + | 0.811669i | \(0.698559\pi\) | |||||||
\(830\) | 76.7180 | − | 150.591i | 0.0924313 | − | 0.181435i | ||||
\(831\) | 583.177 | + | 336.697i | 0.701778 | + | 0.405171i | ||||
\(832\) | −484.572 | + | 157.650i | −0.582418 | + | 0.189483i | ||||
\(833\) | −1050.24 | − | 753.593i | −1.26079 | − | 0.904673i | ||||
\(834\) | −94.3713 | + | 61.2939i | −0.113155 | + | 0.0734939i | ||||
\(835\) | 333.036 | + | 192.279i | 0.398846 | + | 0.230274i | ||||
\(836\) | −949.706 | + | 99.9393i | −1.13601 | + | 0.119545i | ||||
\(837\) | 695.847 | + | 1205.24i | 0.831359 | + | 1.43996i | ||||
\(838\) | 1008.41 | − | 52.9124i | 1.20336 | − | 0.0631413i | ||||
\(839\) | − | 610.055i | − | 0.727122i | −0.931570 | − | 0.363561i | \(-0.881561\pi\) | ||
0.931570 | − | 0.363561i | \(-0.118439\pi\) | |||||||
\(840\) | −221.467 | + | 85.8134i | −0.263651 | + | 0.102159i | ||||
\(841\) | −688.024 | −0.818102 | ||||||||
\(842\) | −73.3466 | − | 1397.85i | −0.0871099 | − | 1.66015i | ||||
\(843\) | −389.269 | + | 224.745i | −0.461767 | + | 0.266601i | ||||
\(844\) | 91.9876 | + | 874.143i | 0.108990 | + | 1.03571i | ||||
\(845\) | 118.963 | − | 206.050i | 0.140785 | − | 0.243846i | ||||
\(846\) | 270.526 | + | 416.515i | 0.319770 | + | 0.492335i | ||||
\(847\) | −54.1804 | + | 168.443i | −0.0639674 | + | 0.198870i | ||||
\(848\) | −169.297 | − | 187.928i | −0.199643 | − | 0.221613i | ||||
\(849\) | 155.080 | − | 268.607i | 0.182662 | − | 0.316381i | ||||
\(850\) | −936.662 | − | 477.179i | −1.10195 | − | 0.561387i | ||||
\(851\) | 119.228 | − | 68.8365i | 0.140104 | − | 0.0808889i | ||||
\(852\) | 71.2823 | + | 98.0857i | 0.0836647 | + | 0.115124i | ||||
\(853\) | 1133.72 | 1.32909 | 0.664547 | − | 0.747247i | \(-0.268625\pi\) | ||||
0.664547 | + | 0.747247i | \(0.268625\pi\) | |||||||
\(854\) | −510.671 | − | 135.182i | −0.597975 | − | 0.158293i | ||||
\(855\) | 299.953i | 0.350822i | ||||||||
\(856\) | −580.498 | + | 1513.11i | −0.678152 | + | 1.76765i | ||||
\(857\) | 833.339 | + | 1443.39i | 0.972391 | + | 1.68423i | 0.688288 | + | 0.725437i | \(0.258362\pi\) |
0.284103 | + | 0.958794i | \(0.408304\pi\) | |||||||
\(858\) | 261.335 | + | 133.136i | 0.304586 | + | 0.155170i | ||||
\(859\) | 242.748 | + | 140.151i | 0.282594 | + | 0.163156i | 0.634597 | − | 0.772843i | \(-0.281166\pi\) |
−0.352003 | + | 0.935999i | \(0.614499\pi\) | |||||||
\(860\) | −176.234 | − | 78.4379i | −0.204924 | − | 0.0912069i | ||||
\(861\) | 305.511 | − | 276.723i | 0.354832 | − | 0.321397i | ||||
\(862\) | −445.122 | − | 685.332i | −0.516382 | − | 0.795049i | ||||
\(863\) | 49.4107 | + | 28.5273i | 0.0572546 | + | 0.0330559i | 0.528354 | − | 0.849024i | \(-0.322809\pi\) |
−0.471099 | + | 0.882080i | \(0.656143\pi\) | |||||||
\(864\) | 841.101 | − | 225.657i | 0.973497 | − | 0.261177i | ||||
\(865\) | −12.7360 | − | 22.0593i | −0.0147237 | − | 0.0255021i | ||||
\(866\) | 29.2676 | + | 557.785i | 0.0337963 | + | 0.644094i | ||||
\(867\) | 766.029i | 0.883540i | ||||||||
\(868\) | −954.839 | + | 1067.05i | −1.10004 | + | 1.22932i | ||||
\(869\) | 55.8433 | 0.0642616 | ||||||||
\(870\) | −104.771 | + | 5.49743i | −0.120426 | + | 0.00631889i | ||||
\(871\) | −224.341 | + | 129.523i | −0.257567 | + | 0.148707i | ||||
\(872\) | 141.327 | − | 114.488i | 0.162072 | − | 0.131294i | ||||
\(873\) | 175.674 | − | 304.276i | 0.201230 | − | 0.348541i | ||||
\(874\) | 167.911 | − | 109.058i | 0.192117 | − | 0.124780i | ||||
\(875\) | −692.568 | + | 149.351i | −0.791507 | + | 0.170687i | ||||
\(876\) | 131.232 | + | 58.4083i | 0.149808 | + | 0.0666761i | ||||
\(877\) | −137.627 | + | 238.377i | −0.156929 | + | 0.271809i | −0.933760 | − | 0.357900i | \(-0.883493\pi\) |
0.776831 | + | 0.629710i | \(0.216826\pi\) | |||||||
\(878\) | 367.183 | − | 720.750i | 0.418204 | − | 0.820900i | ||||
\(879\) | 295.984 | − | 170.887i | 0.336729 | − | 0.194410i | ||||
\(880\) | −73.4137 | − | 344.956i | −0.0834246 | − | 0.391996i | ||||
\(881\) | −968.386 | −1.09919 | −0.549595 | − | 0.835431i | \(-0.685218\pi\) | ||||
−0.549595 | + | 0.835431i | \(0.685218\pi\) | |||||||
\(882\) | 534.125 | + | 24.7924i | 0.605583 | + | 0.0281093i | ||||
\(883\) | − | 1110.94i | − | 1.25815i | −0.777347 | − | 0.629073i | \(-0.783435\pi\) | ||
0.777347 | − | 0.629073i | \(-0.216565\pi\) | |||||||
\(884\) | 493.922 | + | 679.645i | 0.558735 | + | 0.768829i | ||||
\(885\) | −133.457 | − | 231.155i | −0.150799 | − | 0.261192i | ||||
\(886\) | 194.328 | − | 381.450i | 0.219332 | − | 0.430531i | ||||
\(887\) | 284.741 | + | 164.395i | 0.321016 | + | 0.185339i | 0.651845 | − | 0.758352i | \(-0.273995\pi\) |
−0.330829 | + | 0.943691i | \(0.607328\pi\) | |||||||
\(888\) | −499.142 | + | 79.1531i | −0.562097 | + | 0.0891364i | ||||
\(889\) | 301.814 | + | 1399.56i | 0.339498 | + | 1.57431i | ||||
\(890\) | 35.5449 | − | 23.0863i | 0.0399381 | − | 0.0259397i | ||||
\(891\) | −18.0111 | − | 10.3987i | −0.0202145 | − | 0.0116708i | ||||
\(892\) | −21.5659 | − | 204.937i | −0.0241770 | − | 0.229750i | ||||
\(893\) | −555.300 | − | 961.807i | −0.621836 | − | 1.07705i | ||||
\(894\) | −997.641 | + | 52.3472i | −1.11593 | + | 0.0585540i | ||||
\(895\) | 336.250i | 0.375698i | ||||||||
\(896\) | 490.547 | + | 749.786i | 0.547486 | + | 0.836815i | ||||
\(897\) | −61.4931 | −0.0685541 | ||||||||
\(898\) | 21.9105 | + | 417.573i | 0.0243992 | + | 0.465004i | ||||
\(899\) | −547.766 | + | 316.253i | −0.609306 | + | 0.351783i | ||||
\(900\) | 432.446 | − | 45.5070i | 0.480495 | − | 0.0505634i | ||||
\(901\) | −208.519 | + | 361.166i | −0.231431 | + | 0.400850i | ||||
\(902\) | 333.398 | + | 513.317i | 0.369621 | + | 0.569088i | ||||
\(903\) | −189.361 | − | 209.060i | −0.209702 | − | 0.231518i | ||||
\(904\) | 68.7204 | + | 433.353i | 0.0760181 | + | 0.479372i | ||||
\(905\) | 257.501 | − | 446.005i | 0.284532 | − | 0.492823i | ||||
\(906\) | 664.288 | + | 338.419i | 0.733210 | + | 0.373531i | ||||
\(907\) | 639.658 | − | 369.307i | 0.705245 | − | 0.407174i | −0.104053 | − | 0.994572i | \(-0.533181\pi\) |
0.809298 | + | 0.587398i | \(0.199848\pi\) | |||||||
\(908\) | 591.551 | − | 429.901i | 0.651488 | − | 0.473459i | ||||
\(909\) | −828.640 | −0.911595 | ||||||||
\(910\) | 242.774 | + | 64.2660i | 0.266785 | + | 0.0706220i | ||||
\(911\) | 1219.97i | 1.33915i | 0.742742 | + | 0.669577i | \(0.233525\pi\) | ||||
−0.742742 | + | 0.669577i | \(0.766475\pi\) | |||||||
\(912\) | −718.877 | + | 152.992i | −0.788242 | + | 0.167754i | ||||
\(913\) | 183.483 | + | 317.802i | 0.200967 | + | 0.348085i | ||||
\(914\) | 152.932 | + | 77.9107i | 0.167322 | + | 0.0852415i | ||||
\(915\) | 138.594 | + | 80.0175i | 0.151469 | + | 0.0874508i | ||||
\(916\) | −339.805 | + | 763.475i | −0.370967 | + | 0.833488i | ||||
\(917\) | −638.826 | − | 205.481i | −0.696648 | − | 0.224080i | ||||
\(918\) | −782.080 | − | 1204.13i | −0.851939 | − | 1.31169i | ||||
\(919\) | −1250.84 | − | 722.174i | −1.36109 | − | 0.785825i | −0.371321 | − | 0.928505i | \(-0.621095\pi\) |
−0.989769 | + | 0.142679i | \(0.954428\pi\) | |||||||
\(920\) | 46.5457 | + | 57.4570i | 0.0505932 | + | 0.0624532i | ||||
\(921\) | −486.907 | − | 843.348i | −0.528672 | − | 0.915687i | ||||
\(922\) | 4.16786 | + | 79.4317i | 0.00452046 | + | 0.0861515i | ||||
\(923\) | − | 128.208i | − | 0.138903i | ||||||
\(924\) | 105.666 | − | 504.768i | 0.114358 | − | 0.546285i | ||||
\(925\) | −668.600 | −0.722811 | ||||||||
\(926\) | 384.257 | − | 20.1624i | 0.414964 | − | 0.0217736i | ||||
\(927\) | 285.208 | − | 164.665i | 0.307668 | − | 0.177632i | ||||
\(928\) | 102.558 | + | 382.269i | 0.110515 | + | 0.411928i | ||||
\(929\) | 719.190 | − | 1245.67i | 0.774155 | − | 1.34088i | −0.161113 | − | 0.986936i | \(-0.551508\pi\) |
0.935268 | − | 0.353940i | \(-0.115158\pi\) | |||||||
\(930\) | 363.791 | − | 236.281i | 0.391173 | − | 0.254066i | ||||
\(931\) | −1189.83 | − | 117.947i | −1.27802 | − | 0.126689i | ||||
\(932\) | 440.721 | − | 990.212i | 0.472877 | − | 1.06246i | ||||
\(933\) | 362.045 | − | 627.080i | 0.388044 | − | 0.672111i | ||||
\(934\) | 436.464 | − | 856.743i | 0.467307 | − | 0.917284i | ||||
\(935\) | −503.584 | + | 290.744i | −0.538593 | + | 0.310957i | ||||
\(936\) | −324.476 | − | 124.484i | −0.346662 | − | 0.132996i | ||||
\(937\) | −236.591 | −0.252498 | −0.126249 | − | 0.991999i | \(-0.540294\pi\) | ||||
−0.126249 | + | 0.991999i | \(0.540294\pi\) | |||||||
\(938\) | 323.053 | + | 321.108i | 0.344406 | + | 0.342332i | ||||
\(939\) | 70.4845i | 0.0750633i | ||||||||
\(940\) | 331.801 | − | 241.131i | 0.352979 | − | 0.256523i | ||||
\(941\) | 145.074 | + | 251.275i | 0.154170 | + | 0.267030i | 0.932756 | − | 0.360507i | \(-0.117396\pi\) |
−0.778587 | + | 0.627537i | \(0.784063\pi\) | |||||||
\(942\) | 325.671 | − | 639.264i | 0.345723 | − | 0.678625i | ||||
\(943\) | −111.139 | − | 64.1662i | −0.117857 | − | 0.0680447i | ||||
\(944\) | −748.120 | + | 673.953i | −0.792500 | + | 0.713933i | ||||
\(945\) | −408.570 | − | 131.418i | −0.432349 | − | 0.139067i | ||||
\(946\) | 351.262 | − | 228.144i | 0.371313 | − | 0.241167i | ||||
\(947\) | 662.602 | + | 382.553i | 0.699685 | + | 0.403964i | 0.807230 | − | 0.590237i | \(-0.200966\pi\) |
−0.107545 | + | 0.994200i | \(0.534299\pi\) | |||||||
\(948\) | 42.7437 | − | 4.49800i | 0.0450883 | − | 0.00474473i | ||||
\(949\) | −75.9417 | − | 131.535i | −0.0800228 | − | 0.138604i | ||||
\(950\) | −971.015 | + | 50.9501i | −1.02212 | + | 0.0536317i | ||||
\(951\) | − | 356.958i | − | 0.375350i | ||||||
\(952\) | 926.075 | − | 1150.99i | 0.972767 | − | 1.20902i | ||||
\(953\) | 1711.94 | 1.79637 | 0.898183 | − | 0.439621i | \(-0.144887\pi\) | ||||
0.898183 | + | 0.439621i | \(0.144887\pi\) | |||||||
\(954\) | −9.03927 | − | 172.272i | −0.00947513 | − | 0.180578i | ||||
\(955\) | −121.085 | + | 69.9083i | −0.126790 | + | 0.0732024i | ||||
\(956\) | 100.291 | + | 953.048i | 0.104907 | + | 0.996912i | ||||
\(957\) | 113.901 | − | 197.283i | 0.119019 | − | 0.206147i | ||||
\(958\) | 486.787 | + | 749.482i | 0.508128 | + | 0.782340i | ||||
\(959\) | −204.171 | − | 225.411i | −0.212900 | − | 0.235048i | ||||
\(960\) | −83.9775 | − | 258.124i | −0.0874766 | − | 0.268879i | ||||
\(961\) | 827.101 | − | 1432.58i | 0.860667 | − | 1.49072i | ||||
\(962\) | 476.143 | + | 242.569i | 0.494952 | + | 0.252151i | ||||
\(963\) | −957.217 | + | 552.650i | −0.993995 | + | 0.573883i | ||||
\(964\) | 987.225 | + | 1358.44i | 1.02409 | + | 1.40917i | ||||
\(965\) | −486.041 | −0.503669 | ||||||||
\(966\) | 28.3002 | + | 104.356i | 0.0292963 | + | 0.108029i | ||||
\(967\) | − | 753.697i | − | 0.779418i | −0.920938 | − | 0.389709i | \(-0.872576\pi\) | ||
0.920938 | − | 0.389709i | \(-0.127424\pi\) | |||||||
\(968\) | −188.802 | − | 72.4333i | −0.195043 | − | 0.0748278i | ||||
\(969\) | 605.901 | + | 1049.45i | 0.625285 | + | 1.08303i | ||||
\(970\) | −258.544 | − | 131.714i | −0.266540 | − | 0.135788i | ||||
\(971\) | −751.341 | − | 433.787i | −0.773781 | − | 0.446742i | 0.0604411 | − | 0.998172i | \(-0.480749\pi\) |
−0.834222 | + | 0.551429i | \(0.814083\pi\) | |||||||
\(972\) | 880.428 | + | 391.859i | 0.905791 | + | 0.403147i | ||||
\(973\) | −44.1033 | − | 204.515i | −0.0453271 | − | 0.210190i | ||||
\(974\) | 722.428 | + | 1112.29i | 0.741713 | + | 1.14198i | ||||
\(975\) | 258.628 | + | 149.319i | 0.265259 | + | 0.153147i | ||||
\(976\) | 186.417 | − | 574.224i | 0.191001 | − | 0.588345i | ||||
\(977\) | 246.202 | + | 426.434i | 0.251998 | + | 0.436473i | 0.964076 | − | 0.265628i | \(-0.0855792\pi\) |
−0.712078 | + | 0.702100i | \(0.752246\pi\) | |||||||
\(978\) | 8.05070 | + | 153.431i | 0.00823179 | + | 0.156883i | ||||
\(979\) | 92.0292i | 0.0940033i | ||||||||
\(980\) | −2.66685 | − | 441.574i | −0.00272128 | − | 0.450586i | ||||
\(981\) | 124.046 | 0.126448 | ||||||||
\(982\) | −1302.59 | + | 68.3483i | −1.32647 | + | 0.0696011i | ||||
\(983\) | −1018.85 | + | 588.235i | −1.03647 | + | 0.598408i | −0.918832 | − | 0.394649i | \(-0.870866\pi\) |
−0.117640 | + | 0.993056i | \(0.537533\pi\) | |||||||
\(984\) | 296.536 | + | 366.050i | 0.301358 | + | 0.372002i | ||||
\(985\) | −30.1042 | + | 52.1420i | −0.0305626 | + | 0.0529360i | ||||
\(986\) | 547.261 | − | 355.444i | 0.555031 | − | 0.360491i | ||||
\(987\) | 586.288 | − | 126.432i | 0.594010 | − | 0.128097i | ||||
\(988\) | 709.992 | + | 316.002i | 0.718616 | + | 0.319840i | ||||
\(989\) | −43.9088 | + | 76.0522i | −0.0443971 | + | 0.0768981i | ||||
\(990\) | 109.187 | − | 214.324i | 0.110290 | − | 0.216489i | ||||
\(991\) | 364.454 | − | 210.418i | 0.367764 | − | 0.212329i | −0.304717 | − | 0.952443i | \(-0.598562\pi\) |
0.672481 | + | 0.740114i | \(0.265229\pi\) | |||||||
\(992\) | −1157.51 | − | 1156.78i | −1.16684 | − | 1.16611i | ||||
\(993\) | −674.604 | −0.679359 | ||||||||
\(994\) | −217.574 | + | 59.0034i | −0.218887 | + | 0.0593596i | ||||
\(995\) | − | 129.712i | − | 0.130364i | ||||||
\(996\) | 166.040 | + | 228.474i | 0.166707 | + | 0.229391i | ||||
\(997\) | −413.731 | − | 716.604i | −0.414976 | − | 0.718760i | 0.580450 | − | 0.814296i | \(-0.302877\pi\) |
−0.995426 | + | 0.0955360i | \(0.969543\pi\) | |||||||
\(998\) | 456.225 | − | 895.532i | 0.457140 | − | 0.897327i | ||||
\(999\) | −790.878 | − | 456.613i | −0.791669 | − | 0.457071i |
(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 | 28.3.g.a.23.4 | yes | 12 | |
3.2 | odd | 2 | 252.3.y.c.163.3 | 12 | |||
4.3 | odd | 2 | inner | 28.3.g.a.23.6 | yes | 12 | |
7.2 | even | 3 | 196.3.c.i.99.2 | 6 | |||
7.3 | odd | 6 | 196.3.g.i.67.6 | 12 | |||
7.4 | even | 3 | inner | 28.3.g.a.11.6 | yes | 12 | |
7.5 | odd | 6 | 196.3.c.h.99.2 | 6 | |||
7.6 | odd | 2 | 196.3.g.i.79.4 | 12 | |||
8.3 | odd | 2 | 448.3.r.h.191.4 | 12 | |||
8.5 | even | 2 | 448.3.r.h.191.3 | 12 | |||
12.11 | even | 2 | 252.3.y.c.163.1 | 12 | |||
21.11 | odd | 6 | 252.3.y.c.235.1 | 12 | |||
28.3 | even | 6 | 196.3.g.i.67.4 | 12 | |||
28.11 | odd | 6 | inner | 28.3.g.a.11.4 | ✓ | 12 | |
28.19 | even | 6 | 196.3.c.h.99.1 | 6 | |||
28.23 | odd | 6 | 196.3.c.i.99.1 | 6 | |||
28.27 | even | 2 | 196.3.g.i.79.6 | 12 | |||
56.11 | odd | 6 | 448.3.r.h.319.3 | 12 | |||
56.53 | even | 6 | 448.3.r.h.319.4 | 12 | |||
84.11 | even | 6 | 252.3.y.c.235.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.g.a.11.4 | ✓ | 12 | 28.11 | odd | 6 | inner | |
28.3.g.a.11.6 | yes | 12 | 7.4 | even | 3 | inner | |
28.3.g.a.23.4 | yes | 12 | 1.1 | even | 1 | trivial | |
28.3.g.a.23.6 | yes | 12 | 4.3 | odd | 2 | inner | |
196.3.c.h.99.1 | 6 | 28.19 | even | 6 | |||
196.3.c.h.99.2 | 6 | 7.5 | odd | 6 | |||
196.3.c.i.99.1 | 6 | 28.23 | odd | 6 | |||
196.3.c.i.99.2 | 6 | 7.2 | even | 3 | |||
196.3.g.i.67.4 | 12 | 28.3 | even | 6 | |||
196.3.g.i.67.6 | 12 | 7.3 | odd | 6 | |||
196.3.g.i.79.4 | 12 | 7.6 | odd | 2 | |||
196.3.g.i.79.6 | 12 | 28.27 | even | 2 | |||
252.3.y.c.163.1 | 12 | 12.11 | even | 2 | |||
252.3.y.c.163.3 | 12 | 3.2 | odd | 2 | |||
252.3.y.c.235.1 | 12 | 21.11 | odd | 6 | |||
252.3.y.c.235.3 | 12 | 84.11 | even | 6 | |||
448.3.r.h.191.3 | 12 | 8.5 | even | 2 | |||
448.3.r.h.191.4 | 12 | 8.3 | odd | 2 | |||
448.3.r.h.319.3 | 12 | 56.11 | odd | 6 | |||
448.3.r.h.319.4 | 12 | 56.53 | even | 6 |