Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,2,Mod(16,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.m (of order \(5\), degree \(4\), 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: | \(1.31753163335\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.2 | ||
Root | \(0.418926 + 1.28932i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 165.136 |
Dual form | 165.2.m.d.91.2 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.90578 | + | 1.38463i | 1.34759 | + | 0.979082i | 0.999128 | + | 0.0417590i | \(0.0132962\pi\) |
0.348463 | + | 0.937323i | \(0.386704\pi\) | |||||||
\(3\) | 0.309017 | − | 0.951057i | 0.178411 | − | 0.549093i | ||||
\(4\) | 1.09676 | + | 3.37549i | 0.548382 | + | 1.68775i | ||||
\(5\) | −0.809017 | + | 0.587785i | −0.361803 | + | 0.262866i | ||||
\(6\) | 1.90578 | − | 1.38463i | 0.778032 | − | 0.565273i | ||||
\(7\) | 0.0598032 | + | 0.184055i | 0.0226035 | + | 0.0695663i | 0.961722 | − | 0.274027i | \(-0.0883558\pi\) |
−0.939119 | + | 0.343593i | \(0.888356\pi\) | |||||||
\(8\) | −1.12773 | + | 3.47080i | −0.398713 | + | 1.22711i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | −2.35567 | −0.744930 | ||||||||
\(11\) | −1.96213 | − | 2.67395i | −0.591606 | − | 0.806227i | ||||
\(12\) | 3.54920 | 1.02457 | ||||||||
\(13\) | −0.787747 | − | 0.572331i | −0.218482 | − | 0.158736i | 0.473161 | − | 0.880976i | \(-0.343113\pi\) |
−0.691643 | + | 0.722240i | \(0.743113\pi\) | |||||||
\(14\) | −0.140877 | + | 0.433574i | −0.0376509 | + | 0.115878i | ||||
\(15\) | 0.309017 | + | 0.951057i | 0.0797878 | + | 0.245562i | ||||
\(16\) | −1.21225 | + | 0.880754i | −0.303063 | + | 0.220188i | ||||
\(17\) | 2.16469 | − | 1.57274i | 0.525015 | − | 0.381446i | −0.293475 | − | 0.955967i | \(-0.594812\pi\) |
0.818490 | + | 0.574521i | \(0.194812\pi\) | |||||||
\(18\) | −0.727943 | − | 2.24038i | −0.171578 | − | 0.528062i | ||||
\(19\) | −1.71480 | + | 5.27760i | −0.393402 | + | 1.21077i | 0.536798 | + | 0.843711i | \(0.319634\pi\) |
−0.930199 | + | 0.367055i | \(0.880366\pi\) | |||||||
\(20\) | −2.87136 | − | 2.08617i | −0.642057 | − | 0.466481i | ||||
\(21\) | 0.193527 | 0.0422311 | ||||||||
\(22\) | −0.0369604 | − | 7.81280i | −0.00787998 | − | 1.66569i | ||||
\(23\) | −4.80040 | −1.00095 | −0.500476 | − | 0.865750i | \(-0.666842\pi\) | ||||
−0.500476 | + | 0.865750i | \(0.666842\pi\) | |||||||
\(24\) | 2.95244 | + | 2.14507i | 0.602664 | + | 0.437861i | ||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | −0.708805 | − | 2.18148i | −0.139008 | − | 0.427823i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −0.555687 | + | 0.403730i | −0.105015 | + | 0.0762978i | ||||
\(29\) | −3.12657 | − | 9.62260i | −0.580590 | − | 1.78687i | −0.616303 | − | 0.787509i | \(-0.711370\pi\) |
0.0357132 | − | 0.999362i | \(-0.488630\pi\) | |||||||
\(30\) | −0.727943 | + | 2.24038i | −0.132904 | + | 0.409035i | ||||
\(31\) | 2.02685 | + | 1.47259i | 0.364033 | + | 0.264486i | 0.754732 | − | 0.656033i | \(-0.227767\pi\) |
−0.390699 | + | 0.920518i | \(0.627767\pi\) | |||||||
\(32\) | 3.76902 | 0.666275 | ||||||||
\(33\) | −3.14941 | + | 1.03980i | −0.548243 | + | 0.181007i | ||||
\(34\) | 6.30309 | 1.08097 | ||||||||
\(35\) | −0.156567 | − | 0.113752i | −0.0264646 | − | 0.0192277i | ||||
\(36\) | 1.09676 | − | 3.37549i | 0.182794 | − | 0.562582i | ||||
\(37\) | 1.76516 | + | 5.43260i | 0.290190 | + | 0.893114i | 0.984795 | + | 0.173722i | \(0.0555794\pi\) |
−0.694604 | + | 0.719392i | \(0.744421\pi\) | |||||||
\(38\) | −10.5756 | + | 7.68359i | −1.71558 | + | 1.24644i | ||||
\(39\) | −0.787747 | + | 0.572331i | −0.126140 | + | 0.0916464i | ||||
\(40\) | −1.12773 | − | 3.47080i | −0.178310 | − | 0.548781i | ||||
\(41\) | −2.55823 | + | 7.87342i | −0.399529 | + | 1.22962i | 0.525850 | + | 0.850577i | \(0.323747\pi\) |
−0.925378 | + | 0.379045i | \(0.876253\pi\) | |||||||
\(42\) | 0.368820 | + | 0.267964i | 0.0569102 | + | 0.0413477i | ||||
\(43\) | 5.11353 | 0.779807 | 0.389903 | − | 0.920856i | \(-0.372508\pi\) | ||||
0.389903 | + | 0.920856i | \(0.372508\pi\) | |||||||
\(44\) | 6.87391 | − | 9.55586i | 1.03628 | − | 1.44060i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −9.14851 | − | 6.64678i | −1.34887 | − | 0.980014i | ||||
\(47\) | −3.35354 | + | 10.3211i | −0.489164 | + | 1.50549i | 0.336693 | + | 0.941614i | \(0.390692\pi\) |
−0.825857 | + | 0.563879i | \(0.809308\pi\) | |||||||
\(48\) | 0.463040 | + | 1.42509i | 0.0668340 | + | 0.205694i | ||||
\(49\) | 5.63282 | − | 4.09248i | 0.804688 | − | 0.584640i | ||||
\(50\) | 1.90578 | − | 1.38463i | 0.269518 | − | 0.195816i | ||||
\(51\) | −0.826838 | − | 2.54475i | −0.115781 | − | 0.356336i | ||||
\(52\) | 1.06793 | − | 3.28674i | 0.148095 | − | 0.455789i | ||||
\(53\) | 7.51479 | + | 5.45981i | 1.03224 | + | 0.749963i | 0.968755 | − | 0.248020i | \(-0.0797800\pi\) |
0.0634803 | + | 0.997983i | \(0.479780\pi\) | |||||||
\(54\) | −2.35567 | −0.320567 | ||||||||
\(55\) | 3.15911 | + | 1.00996i | 0.425974 | + | 0.136183i | ||||
\(56\) | −0.706260 | −0.0943780 | ||||||||
\(57\) | 4.48940 | + | 3.26174i | 0.594635 | + | 0.432028i | ||||
\(58\) | 7.36518 | − | 22.6677i | 0.967096 | − | 2.97642i | ||||
\(59\) | −3.46656 | − | 10.6690i | −0.451307 | − | 1.38898i | −0.875416 | − | 0.483369i | \(-0.839413\pi\) |
0.424109 | − | 0.905611i | \(-0.360587\pi\) | |||||||
\(60\) | −2.87136 | + | 2.08617i | −0.370692 | + | 0.269323i | ||||
\(61\) | −0.975693 | + | 0.708883i | −0.124925 | + | 0.0907631i | −0.648493 | − | 0.761221i | \(-0.724600\pi\) |
0.523568 | + | 0.851984i | \(0.324600\pi\) | |||||||
\(62\) | 1.82374 | + | 5.61288i | 0.231615 | + | 0.712836i | ||||
\(63\) | 0.0598032 | − | 0.184055i | 0.00753449 | − | 0.0231888i | ||||
\(64\) | 9.60743 | + | 6.98021i | 1.20093 | + | 0.872526i | ||||
\(65\) | 0.973708 | 0.120774 | ||||||||
\(66\) | −7.44184 | − | 2.37914i | −0.916027 | − | 0.292851i | ||||
\(67\) | 3.25922 | 0.398176 | 0.199088 | − | 0.979982i | \(-0.436202\pi\) | ||||
0.199088 | + | 0.979982i | \(0.436202\pi\) | |||||||
\(68\) | 7.68293 | + | 5.58197i | 0.931692 | + | 0.676914i | ||||
\(69\) | −1.48341 | + | 4.56545i | −0.178581 | + | 0.549616i | ||||
\(70\) | −0.140877 | − | 0.433574i | −0.0168380 | − | 0.0518220i | ||||
\(71\) | −4.84664 | + | 3.52129i | −0.575191 | + | 0.417901i | −0.836987 | − | 0.547222i | \(-0.815685\pi\) |
0.261796 | + | 0.965123i | \(0.415685\pi\) | |||||||
\(72\) | 2.95244 | − | 2.14507i | 0.347948 | − | 0.252799i | ||||
\(73\) | 1.02168 | + | 3.14442i | 0.119579 | + | 0.368026i | 0.992875 | − | 0.119165i | \(-0.0380216\pi\) |
−0.873296 | + | 0.487191i | \(0.838022\pi\) | |||||||
\(74\) | −4.15814 | + | 12.7974i | −0.483374 | + | 1.48767i | ||||
\(75\) | −0.809017 | − | 0.587785i | −0.0934172 | − | 0.0678716i | ||||
\(76\) | −19.6952 | −2.25920 | ||||||||
\(77\) | 0.374813 | − | 0.521052i | 0.0427139 | − | 0.0593794i | ||||
\(78\) | −2.29374 | −0.259715 | ||||||||
\(79\) | −8.21389 | − | 5.96774i | −0.924135 | − | 0.671423i | 0.0204147 | − | 0.999792i | \(-0.493501\pi\) |
−0.944550 | + | 0.328368i | \(0.893501\pi\) | |||||||
\(80\) | 0.463040 | − | 1.42509i | 0.0517694 | − | 0.159330i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | −15.7772 | + | 11.4628i | −1.74230 | + | 1.26586i | ||||
\(83\) | −6.72704 | + | 4.88748i | −0.738388 | + | 0.536471i | −0.892206 | − | 0.451629i | \(-0.850843\pi\) |
0.153818 | + | 0.988099i | \(0.450843\pi\) | |||||||
\(84\) | 0.212253 | + | 0.653249i | 0.0231588 | + | 0.0712753i | ||||
\(85\) | −0.826838 | + | 2.54475i | −0.0896832 | + | 0.276017i | ||||
\(86\) | 9.74527 | + | 7.08035i | 1.05086 | + | 0.763494i | ||||
\(87\) | −10.1178 | −1.08474 | ||||||||
\(88\) | 11.4935 | − | 3.79468i | 1.22521 | − | 0.404514i | ||||
\(89\) | 7.34270 | 0.778325 | 0.389163 | − | 0.921169i | \(-0.372764\pi\) | ||||
0.389163 | + | 0.921169i | \(0.372764\pi\) | |||||||
\(90\) | 1.90578 | + | 1.38463i | 0.200887 | + | 0.145953i | ||||
\(91\) | 0.0582308 | − | 0.179216i | 0.00610425 | − | 0.0187869i | ||||
\(92\) | −5.26490 | − | 16.2037i | −0.548904 | − | 1.68935i | ||||
\(93\) | 2.02685 | − | 1.47259i | 0.210175 | − | 0.152701i | ||||
\(94\) | −20.6821 | + | 15.0264i | −2.13319 | + | 1.54986i | ||||
\(95\) | −1.71480 | − | 5.27760i | −0.175935 | − | 0.541471i | ||||
\(96\) | 1.16469 | − | 3.58455i | 0.118871 | − | 0.365847i | ||||
\(97\) | 12.8248 | + | 9.31774i | 1.30216 | + | 0.946074i | 0.999974 | − | 0.00717602i | \(-0.00228422\pi\) |
0.302184 | + | 0.953250i | \(0.402284\pi\) | |||||||
\(98\) | 16.4015 | 1.65680 | ||||||||
\(99\) | 0.0156899 | + | 3.31659i | 0.00157690 | + | 0.333330i | ||||
\(100\) | 3.54920 | 0.354920 | ||||||||
\(101\) | −10.6460 | − | 7.73475i | −1.05931 | − | 0.769636i | −0.0853519 | − | 0.996351i | \(-0.527201\pi\) |
−0.973961 | + | 0.226715i | \(0.927201\pi\) | |||||||
\(102\) | 1.94776 | − | 5.99460i | 0.192857 | − | 0.593553i | ||||
\(103\) | 1.23525 | + | 3.80172i | 0.121713 | + | 0.374595i | 0.993288 | − | 0.115668i | \(-0.0369009\pi\) |
−0.871575 | + | 0.490263i | \(0.836901\pi\) | |||||||
\(104\) | 2.87481 | − | 2.08867i | 0.281899 | − | 0.204811i | ||||
\(105\) | −0.156567 | + | 0.113752i | −0.0152793 | + | 0.0111011i | ||||
\(106\) | 6.76171 | + | 20.8104i | 0.656755 | + | 2.02129i | ||||
\(107\) | 1.51011 | − | 4.64764i | 0.145988 | − | 0.449304i | −0.851149 | − | 0.524924i | \(-0.824094\pi\) |
0.997137 | + | 0.0756201i | \(0.0240936\pi\) | |||||||
\(108\) | −2.87136 | − | 2.08617i | −0.276297 | − | 0.200742i | ||||
\(109\) | −7.51977 | −0.720263 | −0.360131 | − | 0.932902i | \(-0.617268\pi\) | ||||
−0.360131 | + | 0.932902i | \(0.617268\pi\) | |||||||
\(110\) | 4.62215 | + | 6.29896i | 0.440705 | + | 0.600583i | ||||
\(111\) | 5.71217 | 0.542176 | ||||||||
\(112\) | −0.234604 | − | 0.170450i | −0.0221680 | − | 0.0161060i | ||||
\(113\) | 6.24947 | − | 19.2339i | 0.587901 | − | 1.80937i | 0.000604375 | − | 1.00000i | \(-0.499808\pi\) |
0.587296 | − | 0.809372i | \(-0.300192\pi\) | |||||||
\(114\) | 4.03950 | + | 12.4323i | 0.378334 | + | 1.16439i | ||||
\(115\) | 3.88361 | − | 2.82160i | 0.362148 | − | 0.263116i | ||||
\(116\) | 29.0519 | − | 21.1074i | 2.69740 | − | 1.95978i | ||||
\(117\) | 0.300892 | + | 0.926052i | 0.0278175 | + | 0.0856135i | ||||
\(118\) | 8.16608 | − | 25.1326i | 0.751748 | − | 2.31364i | ||||
\(119\) | 0.418926 | + | 0.304368i | 0.0384029 | + | 0.0279014i | ||||
\(120\) | −3.64941 | −0.333144 | ||||||||
\(121\) | −3.30005 | + | 10.4933i | −0.300005 | + | 0.953938i | ||||
\(122\) | −2.84100 | −0.257212 | ||||||||
\(123\) | 6.69754 | + | 4.86604i | 0.603896 | + | 0.438756i | ||||
\(124\) | −2.74775 | + | 8.45670i | −0.246755 | + | 0.759434i | ||||
\(125\) | 0.309017 | + | 0.951057i | 0.0276393 | + | 0.0850651i | ||||
\(126\) | 0.368820 | − | 0.267964i | 0.0328571 | − | 0.0238721i | ||||
\(127\) | −5.74419 | + | 4.17340i | −0.509715 | + | 0.370329i | −0.812715 | − | 0.582661i | \(-0.802012\pi\) |
0.303001 | + | 0.952990i | \(0.402012\pi\) | |||||||
\(128\) | 6.31526 | + | 19.4364i | 0.558196 | + | 1.71795i | ||||
\(129\) | 1.58017 | − | 4.86326i | 0.139126 | − | 0.428186i | ||||
\(130\) | 1.85567 | + | 1.34823i | 0.162753 | + | 0.118247i | ||||
\(131\) | −2.50024 | −0.218447 | −0.109223 | − | 0.994017i | \(-0.534836\pi\) | ||||
−0.109223 | + | 0.994017i | \(0.534836\pi\) | |||||||
\(132\) | −6.96401 | − | 9.49040i | −0.606139 | − | 0.826033i | ||||
\(133\) | −1.07392 | −0.0931207 | ||||||||
\(134\) | 6.21135 | + | 4.51281i | 0.536579 | + | 0.389847i | ||||
\(135\) | 0.309017 | − | 0.951057i | 0.0265959 | − | 0.0818539i | ||||
\(136\) | 3.01748 | + | 9.28684i | 0.258746 | + | 0.796340i | ||||
\(137\) | 12.3734 | − | 8.98981i | 1.05713 | − | 0.768052i | 0.0835766 | − | 0.996501i | \(-0.473366\pi\) |
0.973556 | + | 0.228450i | \(0.0733657\pi\) | |||||||
\(138\) | −9.14851 | + | 6.64678i | −0.778773 | + | 0.565812i | ||||
\(139\) | −6.07484 | − | 18.6964i | −0.515261 | − | 1.58581i | −0.782806 | − | 0.622266i | \(-0.786212\pi\) |
0.267544 | − | 0.963546i | \(-0.413788\pi\) | |||||||
\(140\) | 0.212253 | − | 0.653249i | 0.0179387 | − | 0.0552096i | ||||
\(141\) | 8.77969 | + | 6.37882i | 0.739383 | + | 0.537193i | ||||
\(142\) | −14.1123 | −1.18428 | ||||||||
\(143\) | 0.0152774 | + | 3.22939i | 0.00127756 | + | 0.270055i | ||||
\(144\) | 1.49843 | 0.124869 | ||||||||
\(145\) | 8.18547 | + | 5.94709i | 0.679766 | + | 0.493879i | ||||
\(146\) | −2.40675 | + | 7.40722i | −0.199184 | + | 0.613026i | ||||
\(147\) | −2.15155 | − | 6.62178i | −0.177456 | − | 0.546155i | ||||
\(148\) | −16.4017 | + | 11.9166i | −1.34821 | + | 0.979535i | ||||
\(149\) | 8.19771 | − | 5.95599i | 0.671583 | − | 0.487933i | −0.198972 | − | 0.980005i | \(-0.563760\pi\) |
0.870555 | + | 0.492072i | \(0.163760\pi\) | |||||||
\(150\) | −0.727943 | − | 2.24038i | −0.0594363 | − | 0.182926i | ||||
\(151\) | 3.69682 | − | 11.3776i | 0.300843 | − | 0.925899i | −0.680353 | − | 0.732884i | \(-0.738174\pi\) |
0.981196 | − | 0.193015i | \(-0.0618264\pi\) | |||||||
\(152\) | −16.3837 | − | 11.9034i | −1.32889 | − | 0.965496i | ||||
\(153\) | −2.67571 | −0.216318 | ||||||||
\(154\) | 1.43578 | − | 0.474033i | 0.115698 | − | 0.0381987i | ||||
\(155\) | −2.50533 | −0.201233 | ||||||||
\(156\) | −2.79587 | − | 2.03132i | −0.223849 | − | 0.162636i | ||||
\(157\) | −0.811494 | + | 2.49752i | −0.0647643 | + | 0.199324i | −0.978202 | − | 0.207654i | \(-0.933417\pi\) |
0.913438 | + | 0.406978i | \(0.133417\pi\) | |||||||
\(158\) | −7.39076 | − | 22.7464i | −0.587977 | − | 1.80961i | ||||
\(159\) | 7.51479 | − | 5.45981i | 0.595961 | − | 0.432991i | ||||
\(160\) | −3.04920 | + | 2.21537i | −0.241061 | + | 0.175141i | ||||
\(161\) | −0.287079 | − | 0.883539i | −0.0226250 | − | 0.0696326i | ||||
\(162\) | −0.727943 | + | 2.24038i | −0.0571926 | + | 0.176021i | ||||
\(163\) | −19.1927 | − | 13.9443i | −1.50329 | − | 1.09220i | −0.969049 | − | 0.246868i | \(-0.920598\pi\) |
−0.534238 | − | 0.845334i | \(-0.679402\pi\) | |||||||
\(164\) | −29.3825 | −2.29438 | ||||||||
\(165\) | 1.93675 | − | 2.69240i | 0.150776 | − | 0.209603i | ||||
\(166\) | −19.5876 | −1.52029 | ||||||||
\(167\) | −2.82488 | − | 2.05240i | −0.218596 | − | 0.158819i | 0.473098 | − | 0.881010i | \(-0.343135\pi\) |
−0.691694 | + | 0.722190i | \(0.743135\pi\) | |||||||
\(168\) | −0.218246 | + | 0.671694i | −0.0168381 | + | 0.0518223i | ||||
\(169\) | −3.72424 | − | 11.4620i | −0.286480 | − | 0.881695i | ||||
\(170\) | −5.09931 | + | 3.70486i | −0.391099 | + | 0.284150i | ||||
\(171\) | 4.48940 | − | 3.26174i | 0.343313 | − | 0.249431i | ||||
\(172\) | 5.60834 | + | 17.2607i | 0.427632 | + | 1.31612i | ||||
\(173\) | −6.29145 | + | 19.3631i | −0.478330 | + | 1.47215i | 0.363083 | + | 0.931757i | \(0.381724\pi\) |
−0.841413 | + | 0.540392i | \(0.818276\pi\) | |||||||
\(174\) | −19.2823 | − | 14.0094i | −1.46179 | − | 1.06205i | ||||
\(175\) | 0.193527 | 0.0146293 | ||||||||
\(176\) | 4.73370 | + | 1.51335i | 0.356816 | + | 0.114073i | ||||
\(177\) | −11.2180 | −0.843197 | ||||||||
\(178\) | 13.9936 | + | 10.1669i | 1.04886 | + | 0.762044i | ||||
\(179\) | 1.19008 | − | 3.66268i | 0.0889506 | − | 0.273762i | −0.896679 | − | 0.442681i | \(-0.854028\pi\) |
0.985630 | + | 0.168919i | \(0.0540276\pi\) | |||||||
\(180\) | 1.09676 | + | 3.37549i | 0.0817479 | + | 0.251594i | ||||
\(181\) | 14.2509 | − | 10.3539i | 1.05926 | − | 0.769599i | 0.0853107 | − | 0.996354i | \(-0.472812\pi\) |
0.973952 | + | 0.226755i | \(0.0728117\pi\) | |||||||
\(182\) | 0.359123 | − | 0.260918i | 0.0266200 | − | 0.0193406i | ||||
\(183\) | 0.372682 | + | 1.14700i | 0.0275494 | + | 0.0847884i | ||||
\(184\) | 5.41356 | − | 16.6612i | 0.399093 | − | 1.22828i | ||||
\(185\) | −4.62125 | − | 3.35753i | −0.339761 | − | 0.246851i | ||||
\(186\) | 5.90173 | 0.432736 | ||||||||
\(187\) | −8.45285 | − | 2.70236i | −0.618134 | − | 0.197616i | ||||
\(188\) | −38.5170 | −2.80914 | ||||||||
\(189\) | −0.156567 | − | 0.113752i | −0.0113886 | − | 0.00827427i | ||||
\(190\) | 4.03950 | − | 12.4323i | 0.293056 | − | 0.901935i | ||||
\(191\) | 0.128891 | + | 0.396685i | 0.00932620 | + | 0.0287031i | 0.955611 | − | 0.294630i | \(-0.0951965\pi\) |
−0.946285 | + | 0.323333i | \(0.895196\pi\) | |||||||
\(192\) | 9.60743 | − | 6.98021i | 0.693357 | − | 0.503753i | ||||
\(193\) | −9.46269 | + | 6.87505i | −0.681140 | + | 0.494877i | −0.873736 | − | 0.486401i | \(-0.838309\pi\) |
0.192596 | + | 0.981278i | \(0.438309\pi\) | |||||||
\(194\) | 11.5396 | + | 35.5151i | 0.828493 | + | 2.54984i | ||||
\(195\) | 0.300892 | − | 0.926052i | 0.0215474 | − | 0.0663159i | ||||
\(196\) | 19.9920 | + | 14.5250i | 1.42800 | + | 1.03750i | ||||
\(197\) | 21.5958 | 1.53864 | 0.769320 | − | 0.638863i | \(-0.220595\pi\) | ||||
0.769320 | + | 0.638863i | \(0.220595\pi\) | |||||||
\(198\) | −4.56235 | + | 6.34241i | −0.324232 | + | 0.450736i | ||||
\(199\) | 7.76028 | 0.550111 | 0.275056 | − | 0.961428i | \(-0.411304\pi\) | ||||
0.275056 | + | 0.961428i | \(0.411304\pi\) | |||||||
\(200\) | 2.95244 | + | 2.14507i | 0.208769 | + | 0.151679i | ||||
\(201\) | 1.00715 | − | 3.09970i | 0.0710391 | − | 0.218636i | ||||
\(202\) | −9.57911 | − | 29.4815i | −0.673984 | − | 2.07431i | ||||
\(203\) | 1.58411 | − | 1.15092i | 0.111183 | − | 0.0807790i | ||||
\(204\) | 7.68293 | − | 5.58197i | 0.537912 | − | 0.390816i | ||||
\(205\) | −2.55823 | − | 7.87342i | −0.178675 | − | 0.549904i | ||||
\(206\) | −2.90986 | + | 8.95561i | −0.202739 | + | 0.623967i | ||||
\(207\) | 3.88361 | + | 2.82160i | 0.269929 | + | 0.196115i | ||||
\(208\) | 1.45903 | 0.101166 | ||||||||
\(209\) | 17.4767 | − | 5.77008i | 1.20889 | − | 0.399125i | ||||
\(210\) | −0.455887 | −0.0314592 | ||||||||
\(211\) | 10.1173 | + | 7.35065i | 0.696504 | + | 0.506040i | 0.878792 | − | 0.477205i | \(-0.158350\pi\) |
−0.182288 | + | 0.983245i | \(0.558350\pi\) | |||||||
\(212\) | −10.1876 | + | 31.3542i | −0.699687 | + | 2.15342i | ||||
\(213\) | 1.85125 | + | 5.69757i | 0.126846 | + | 0.390391i | ||||
\(214\) | 9.31320 | − | 6.76644i | 0.636637 | − | 0.462544i | ||||
\(215\) | −4.13694 | + | 3.00566i | −0.282137 | + | 0.204984i | ||||
\(216\) | −1.12773 | − | 3.47080i | −0.0767324 | − | 0.236158i | ||||
\(217\) | −0.149826 | + | 0.461118i | −0.0101709 | + | 0.0313027i | ||||
\(218\) | −14.3310 | − | 10.4121i | −0.970619 | − | 0.705196i | ||||
\(219\) | 3.30624 | 0.223415 | ||||||||
\(220\) | 0.0556868 | + | 11.7712i | 0.00375440 | + | 0.793617i | ||||
\(221\) | −2.60536 | −0.175255 | ||||||||
\(222\) | 10.8861 | + | 7.90925i | 0.730631 | + | 0.530834i | ||||
\(223\) | −1.66118 | + | 5.11257i | −0.111241 | + | 0.342363i | −0.991144 | − | 0.132789i | \(-0.957607\pi\) |
0.879904 | + | 0.475152i | \(0.157607\pi\) | |||||||
\(224\) | 0.225399 | + | 0.693708i | 0.0150601 | + | 0.0463503i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | 38.5419 | − | 28.0024i | 2.56377 | − | 1.86269i | ||||
\(227\) | −6.72202 | − | 20.6882i | −0.446156 | − | 1.37313i | −0.881211 | − | 0.472723i | \(-0.843271\pi\) |
0.435055 | − | 0.900404i | \(-0.356729\pi\) | |||||||
\(228\) | −6.08616 | + | 18.7313i | −0.403066 | + | 1.24051i | ||||
\(229\) | −2.16068 | − | 1.56983i | −0.142782 | − | 0.103737i | 0.514101 | − | 0.857730i | \(-0.328126\pi\) |
−0.656883 | + | 0.753992i | \(0.728126\pi\) | |||||||
\(230\) | 11.3082 | 0.745639 | ||||||||
\(231\) | −0.379726 | − | 0.517482i | −0.0249842 | − | 0.0340478i | ||||
\(232\) | 36.9240 | 2.42418 | ||||||||
\(233\) | 4.63323 | + | 3.36624i | 0.303533 | + | 0.220530i | 0.729117 | − | 0.684389i | \(-0.239931\pi\) |
−0.425584 | + | 0.904919i | \(0.639931\pi\) | |||||||
\(234\) | −0.708805 | + | 2.18148i | −0.0463360 | + | 0.142608i | ||||
\(235\) | −3.35354 | − | 10.3211i | −0.218761 | − | 0.673277i | ||||
\(236\) | 32.2110 | − | 23.4027i | 2.09676 | − | 1.52338i | ||||
\(237\) | −8.21389 | + | 5.96774i | −0.533550 | + | 0.387647i | ||||
\(238\) | 0.376945 | + | 1.16012i | 0.0244337 | + | 0.0751992i | ||||
\(239\) | −7.53013 | + | 23.1754i | −0.487084 | + | 1.49909i | 0.341857 | + | 0.939752i | \(0.388944\pi\) |
−0.828940 | + | 0.559337i | \(0.811056\pi\) | |||||||
\(240\) | −1.21225 | − | 0.880754i | −0.0782506 | − | 0.0568524i | ||||
\(241\) | −16.7082 | −1.07627 | −0.538135 | − | 0.842859i | \(-0.680871\pi\) | ||||
−0.538135 | + | 0.842859i | \(0.680871\pi\) | |||||||
\(242\) | −20.8185 | + | 15.4286i | −1.33827 | + | 0.991788i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −3.46293 | − | 2.51597i | −0.221691 | − | 0.161068i | ||||
\(245\) | −2.15155 | + | 6.62178i | −0.137457 | + | 0.423050i | ||||
\(246\) | 6.02636 | + | 18.5472i | 0.384227 | + | 1.18253i | ||||
\(247\) | 4.37136 | − | 3.17598i | 0.278143 | − | 0.202083i | ||||
\(248\) | −7.39682 | + | 5.37410i | −0.469698 | + | 0.341256i | ||||
\(249\) | 2.56950 | + | 7.90811i | 0.162835 | + | 0.501156i | ||||
\(250\) | −0.727943 | + | 2.24038i | −0.0460392 | + | 0.141694i | ||||
\(251\) | 13.0239 | + | 9.46240i | 0.822060 | + | 0.597262i | 0.917302 | − | 0.398193i | \(-0.130362\pi\) |
−0.0952418 | + | 0.995454i | \(0.530362\pi\) | |||||||
\(252\) | 0.686867 | 0.0432685 | ||||||||
\(253\) | 9.41903 | + | 12.8360i | 0.592169 | + | 0.806995i | ||||
\(254\) | −16.7258 | −1.04947 | ||||||||
\(255\) | 2.16469 | + | 1.57274i | 0.135558 | + | 0.0984888i | ||||
\(256\) | −7.53728 | + | 23.1974i | −0.471080 | + | 1.44984i | ||||
\(257\) | 1.84445 | + | 5.67662i | 0.115053 | + | 0.354098i | 0.991958 | − | 0.126566i | \(-0.0403956\pi\) |
−0.876905 | + | 0.480664i | \(0.840396\pi\) | |||||||
\(258\) | 9.74527 | − | 7.08035i | 0.606714 | − | 0.440804i | ||||
\(259\) | −0.894336 | + | 0.649773i | −0.0555713 | + | 0.0403749i | ||||
\(260\) | 1.06793 | + | 3.28674i | 0.0662301 | + | 0.203835i | ||||
\(261\) | −3.12657 | + | 9.62260i | −0.193530 | + | 0.595624i | ||||
\(262\) | −4.76490 | − | 3.46191i | −0.294377 | − | 0.213877i | ||||
\(263\) | −0.451149 | −0.0278190 | −0.0139095 | − | 0.999903i | \(-0.504428\pi\) | ||||
−0.0139095 | + | 0.999903i | \(0.504428\pi\) | |||||||
\(264\) | −0.0572591 | − | 12.1036i | −0.00352405 | − | 0.744925i | ||||
\(265\) | −9.28879 | −0.570606 | ||||||||
\(266\) | −2.04666 | − | 1.48698i | −0.125489 | − | 0.0911728i | ||||
\(267\) | 2.26902 | − | 6.98333i | 0.138862 | − | 0.427373i | ||||
\(268\) | 3.57459 | + | 11.0015i | 0.218353 | + | 0.672021i | ||||
\(269\) | −11.9085 | + | 8.65203i | −0.726074 | + | 0.527524i | −0.888319 | − | 0.459227i | \(-0.848127\pi\) |
0.162245 | + | 0.986751i | \(0.448127\pi\) | |||||||
\(270\) | 1.90578 | − | 1.38463i | 0.115982 | − | 0.0842659i | ||||
\(271\) | 1.36829 | + | 4.21115i | 0.0831175 | + | 0.255809i | 0.983975 | − | 0.178305i | \(-0.0570614\pi\) |
−0.900858 | + | 0.434114i | \(0.857061\pi\) | |||||||
\(272\) | −1.23896 | + | 3.81312i | −0.0751228 | + | 0.231204i | ||||
\(273\) | −0.152450 | − | 0.110762i | −0.00922671 | − | 0.00670360i | ||||
\(274\) | 36.0286 | 2.17657 | ||||||||
\(275\) | −3.14941 | + | 1.03980i | −0.189917 | + | 0.0627025i | ||||
\(276\) | −17.0376 | −1.02554 | ||||||||
\(277\) | 0.0746965 | + | 0.0542702i | 0.00448808 | + | 0.00326078i | 0.590027 | − | 0.807383i | \(-0.299117\pi\) |
−0.585539 | + | 0.810644i | \(0.699117\pi\) | |||||||
\(278\) | 14.3104 | − | 44.0427i | 0.858278 | − | 2.64151i | ||||
\(279\) | −0.774188 | − | 2.38271i | −0.0463494 | − | 0.142649i | ||||
\(280\) | 0.571377 | − | 0.415129i | 0.0341463 | − | 0.0248087i | ||||
\(281\) | −4.19314 | + | 3.04650i | −0.250142 | + | 0.181739i | −0.705790 | − | 0.708421i | \(-0.749408\pi\) |
0.455648 | + | 0.890160i | \(0.349408\pi\) | |||||||
\(282\) | 7.89985 | + | 24.3133i | 0.470429 | + | 1.44783i | ||||
\(283\) | 0.483496 | − | 1.48805i | 0.0287408 | − | 0.0884552i | −0.935657 | − | 0.352910i | \(-0.885192\pi\) |
0.964398 | + | 0.264455i | \(0.0851921\pi\) | |||||||
\(284\) | −17.2017 | − | 12.4978i | −1.02073 | − | 0.741607i | ||||
\(285\) | −5.54920 | −0.328706 | ||||||||
\(286\) | −4.44240 | + | 6.17566i | −0.262684 | + | 0.365174i | ||||
\(287\) | −1.60214 | −0.0945710 | ||||||||
\(288\) | −3.04920 | − | 2.21537i | −0.179676 | − | 0.130542i | ||||
\(289\) | −3.04091 | + | 9.35897i | −0.178877 | + | 0.550527i | ||||
\(290\) | 7.36518 | + | 22.6677i | 0.432498 | + | 1.33109i | ||||
\(291\) | 12.8248 | − | 9.31774i | 0.751802 | − | 0.546216i | ||||
\(292\) | −9.49341 | + | 6.89736i | −0.555560 | + | 0.403638i | ||||
\(293\) | −7.15592 | − | 22.0236i | −0.418053 | − | 1.28664i | −0.909491 | − | 0.415723i | \(-0.863529\pi\) |
0.491438 | − | 0.870912i | \(-0.336471\pi\) | |||||||
\(294\) | 5.06834 | − | 15.5987i | 0.295592 | − | 0.909737i | ||||
\(295\) | 9.07556 | + | 6.59378i | 0.528400 | + | 0.383905i | ||||
\(296\) | −20.8461 | −1.21165 | ||||||||
\(297\) | 3.15911 | + | 1.00996i | 0.183310 | + | 0.0586038i | ||||
\(298\) | 23.8699 | 1.38274 | ||||||||
\(299\) | 3.78150 | + | 2.74742i | 0.218690 | + | 0.158887i | ||||
\(300\) | 1.09676 | − | 3.37549i | 0.0633217 | − | 0.194884i | ||||
\(301\) | 0.305805 | + | 0.941172i | 0.0176263 | + | 0.0542483i | ||||
\(302\) | 22.7991 | − | 16.5646i | 1.31194 | − | 0.953183i | ||||
\(303\) | −10.6460 | + | 7.73475i | −0.611595 | + | 0.444350i | ||||
\(304\) | −2.56950 | − | 7.90811i | −0.147371 | − | 0.453561i | ||||
\(305\) | 0.372682 | − | 1.14700i | 0.0213397 | − | 0.0656768i | ||||
\(306\) | −5.09931 | − | 3.70486i | −0.291508 | − | 0.211793i | ||||
\(307\) | −7.72480 | −0.440878 | −0.220439 | − | 0.975401i | \(-0.570749\pi\) | ||||
−0.220439 | + | 0.975401i | \(0.570749\pi\) | |||||||
\(308\) | 2.16989 | + | 0.693708i | 0.123641 | + | 0.0395277i | ||||
\(309\) | 3.99737 | 0.227402 | ||||||||
\(310\) | −4.77460 | − | 3.46895i | −0.271179 | − | 0.197023i | ||||
\(311\) | −5.90867 | + | 18.1850i | −0.335050 | + | 1.03118i | 0.631647 | + | 0.775256i | \(0.282379\pi\) |
−0.966697 | + | 0.255922i | \(0.917621\pi\) | |||||||
\(312\) | −1.09808 | − | 3.37955i | −0.0621666 | − | 0.191329i | ||||
\(313\) | −2.34863 | + | 1.70638i | −0.132752 | + | 0.0964503i | −0.652180 | − | 0.758064i | \(-0.726145\pi\) |
0.519427 | + | 0.854515i | \(0.326145\pi\) | |||||||
\(314\) | −5.00468 | + | 3.63611i | −0.282430 | + | 0.205198i | ||||
\(315\) | 0.0598032 | + | 0.184055i | 0.00336953 | + | 0.0103703i | ||||
\(316\) | 11.1354 | − | 34.2711i | 0.626413 | − | 1.92790i | ||||
\(317\) | −1.82962 | − | 1.32930i | −0.102762 | − | 0.0746607i | 0.535218 | − | 0.844714i | \(-0.320230\pi\) |
−0.637979 | + | 0.770053i | \(0.720230\pi\) | |||||||
\(318\) | 21.8814 | 1.22705 | ||||||||
\(319\) | −19.5956 | + | 27.2411i | −1.09714 | + | 1.52521i | ||||
\(320\) | −11.8754 | −0.663857 | ||||||||
\(321\) | −3.95352 | − | 2.87240i | −0.220664 | − | 0.160322i | ||||
\(322\) | 0.676265 | − | 2.08133i | 0.0376868 | − | 0.115988i | ||||
\(323\) | 4.58829 | + | 14.1213i | 0.255299 | + | 0.785731i | ||||
\(324\) | −2.87136 | + | 2.08617i | −0.159520 | + | 0.115898i | ||||
\(325\) | −0.787747 | + | 0.572331i | −0.0436963 | + | 0.0317472i | ||||
\(326\) | −17.2693 | − | 53.1496i | −0.956460 | − | 2.94368i | ||||
\(327\) | −2.32374 | + | 7.15172i | −0.128503 | + | 0.395491i | ||||
\(328\) | −24.4421 | − | 17.7582i | −1.34959 | − | 0.980533i | ||||
\(329\) | −2.10021 | −0.115788 | ||||||||
\(330\) | 7.41899 | − | 2.44944i | 0.408402 | − | 0.134837i | ||||
\(331\) | 6.02336 | 0.331074 | 0.165537 | − | 0.986204i | \(-0.447064\pi\) | ||||
0.165537 | + | 0.986204i | \(0.447064\pi\) | |||||||
\(332\) | −23.8756 | − | 17.3466i | −1.31034 | − | 0.952021i | ||||
\(333\) | 1.76516 | − | 5.43260i | 0.0967301 | − | 0.297705i | ||||
\(334\) | −2.54179 | − | 7.82284i | −0.139081 | − | 0.428047i | ||||
\(335\) | −2.63676 | + | 1.91572i | −0.144062 | + | 0.104667i | ||||
\(336\) | −0.234604 | + | 0.170450i | −0.0127987 | + | 0.00929879i | ||||
\(337\) | −4.50076 | − | 13.8519i | −0.245172 | − | 0.754562i | −0.995608 | − | 0.0936187i | \(-0.970157\pi\) |
0.750436 | − | 0.660943i | \(-0.229843\pi\) | |||||||
\(338\) | 8.77310 | − | 27.0008i | 0.477193 | − | 1.46865i | ||||
\(339\) | −16.3613 | − | 11.8872i | −0.888625 | − | 0.645624i | ||||
\(340\) | −9.49662 | −0.515026 | ||||||||
\(341\) | −0.0393084 | − | 8.30913i | −0.00212867 | − | 0.449965i | ||||
\(342\) | 13.0721 | 0.706859 | ||||||||
\(343\) | 2.18607 | + | 1.58827i | 0.118037 | + | 0.0857587i | ||||
\(344\) | −5.76669 | + | 17.7480i | −0.310919 | + | 0.956911i | ||||
\(345\) | −1.48341 | − | 4.56545i | −0.0798639 | − | 0.245796i | ||||
\(346\) | −38.8009 | + | 28.1905i | −2.08595 | + | 1.51553i | ||||
\(347\) | −23.3281 | + | 16.9489i | −1.25232 | + | 0.909863i | −0.998354 | − | 0.0573506i | \(-0.981735\pi\) |
−0.253965 | + | 0.967213i | \(0.581735\pi\) | |||||||
\(348\) | −11.0968 | − | 34.1525i | −0.594853 | − | 1.83077i | ||||
\(349\) | −0.504421 | + | 1.55245i | −0.0270010 | + | 0.0831006i | −0.963649 | − | 0.267172i | \(-0.913911\pi\) |
0.936648 | + | 0.350272i | \(0.113911\pi\) | |||||||
\(350\) | 0.368820 | + | 0.267964i | 0.0197143 | + | 0.0143233i | ||||
\(351\) | 0.973708 | 0.0519727 | ||||||||
\(352\) | −7.39533 | − | 10.0782i | −0.394172 | − | 0.537169i | ||||
\(353\) | 24.9297 | 1.32687 | 0.663437 | − | 0.748232i | \(-0.269097\pi\) | ||||
0.663437 | + | 0.748232i | \(0.269097\pi\) | |||||||
\(354\) | −21.3791 | − | 15.5328i | −1.13628 | − | 0.825559i | ||||
\(355\) | 1.85125 | − | 5.69757i | 0.0982543 | − | 0.302396i | ||||
\(356\) | 8.05321 | + | 24.7852i | 0.426819 | + | 1.31361i | ||||
\(357\) | 0.418926 | − | 0.304368i | 0.0221719 | − | 0.0161089i | ||||
\(358\) | 7.33949 | − | 5.33245i | 0.387904 | − | 0.281829i | ||||
\(359\) | 8.78874 | + | 27.0489i | 0.463852 | + | 1.42759i | 0.860421 | + | 0.509584i | \(0.170201\pi\) |
−0.396569 | + | 0.918005i | \(0.629799\pi\) | |||||||
\(360\) | −1.12773 | + | 3.47080i | −0.0594366 | + | 0.182927i | ||||
\(361\) | −9.54125 | − | 6.93213i | −0.502171 | − | 0.364849i | ||||
\(362\) | 41.4955 | 2.18095 | ||||||||
\(363\) | 8.95996 | + | 6.38115i | 0.470276 | + | 0.334924i | ||||
\(364\) | 0.668808 | 0.0350550 | ||||||||
\(365\) | −2.67480 | − | 1.94336i | −0.140005 | − | 0.101720i | ||||
\(366\) | −0.877916 | + | 2.70195i | −0.0458894 | + | 0.141233i | ||||
\(367\) | −3.22653 | − | 9.93023i | −0.168423 | − | 0.518354i | 0.830849 | − | 0.556498i | \(-0.187855\pi\) |
−0.999272 | + | 0.0381442i | \(0.987855\pi\) | |||||||
\(368\) | 5.81930 | − | 4.22797i | 0.303352 | − | 0.220398i | ||||
\(369\) | 6.69754 | − | 4.86604i | 0.348660 | − | 0.253316i | ||||
\(370\) | −4.15814 | − | 12.7974i | −0.216171 | − | 0.665307i | ||||
\(371\) | −0.555499 | + | 1.70965i | −0.0288401 | + | 0.0887606i | ||||
\(372\) | 7.19370 | + | 5.22653i | 0.372976 | + | 0.270983i | ||||
\(373\) | −2.81747 | −0.145883 | −0.0729416 | − | 0.997336i | \(-0.523239\pi\) | ||||
−0.0729416 | + | 0.997336i | \(0.523239\pi\) | |||||||
\(374\) | −12.3675 | − | 16.8542i | −0.639509 | − | 0.871508i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | −32.0407 | − | 23.2789i | −1.65237 | − | 1.20052i | ||||
\(377\) | −3.04437 | + | 9.36960i | −0.156793 | + | 0.482559i | ||||
\(378\) | −0.140877 | − | 0.433574i | −0.00724592 | − | 0.0223006i | ||||
\(379\) | −7.22711 | + | 5.25080i | −0.371231 | + | 0.269715i | −0.757721 | − | 0.652578i | \(-0.773687\pi\) |
0.386490 | + | 0.922294i | \(0.373687\pi\) | |||||||
\(380\) | 15.9338 | − | 11.5766i | 0.817386 | − | 0.593865i | ||||
\(381\) | 2.19409 | + | 6.75270i | 0.112406 | + | 0.345951i | ||||
\(382\) | −0.303625 | + | 0.934460i | −0.0155348 | + | 0.0478111i | ||||
\(383\) | 6.90317 | + | 5.01545i | 0.352736 | + | 0.256278i | 0.750016 | − | 0.661420i | \(-0.230046\pi\) |
−0.397280 | + | 0.917697i | \(0.630046\pi\) | |||||||
\(384\) | 20.4366 | 1.04290 | ||||||||
\(385\) | 0.00303643 | + | 0.641850i | 0.000154751 | + | 0.0327117i | ||||
\(386\) | −27.5532 | −1.40242 | ||||||||
\(387\) | −4.13694 | − | 3.00566i | −0.210292 | − | 0.152786i | ||||
\(388\) | −17.3862 | + | 53.5093i | −0.882651 | + | 2.71652i | ||||
\(389\) | 3.63890 | + | 11.1994i | 0.184500 | + | 0.567832i | 0.999939 | − | 0.0110104i | \(-0.00350478\pi\) |
−0.815440 | + | 0.578842i | \(0.803505\pi\) | |||||||
\(390\) | 1.85567 | − | 1.34823i | 0.0939657 | − | 0.0682701i | ||||
\(391\) | −10.3914 | + | 7.54978i | −0.525515 | + | 0.381809i | ||||
\(392\) | 7.85188 | + | 24.1656i | 0.396580 | + | 1.22055i | ||||
\(393\) | −0.772616 | + | 2.37787i | −0.0389733 | + | 0.119948i | ||||
\(394\) | 41.1569 | + | 29.9023i | 2.07346 | + | 1.50645i | ||||
\(395\) | 10.1529 | 0.510849 | ||||||||
\(396\) | −11.1779 | + | 3.69047i | −0.561711 | + | 0.185453i | ||||
\(397\) | −1.41214 | −0.0708735 | −0.0354368 | − | 0.999372i | \(-0.511282\pi\) | ||||
−0.0354368 | + | 0.999372i | \(0.511282\pi\) | |||||||
\(398\) | 14.7894 | + | 10.7451i | 0.741325 | + | 0.538604i | ||||
\(399\) | −0.331860 | + | 1.02136i | −0.0166138 | + | 0.0511319i | ||||
\(400\) | 0.463040 | + | 1.42509i | 0.0231520 | + | 0.0712545i | ||||
\(401\) | −6.84361 | + | 4.97217i | −0.341753 | + | 0.248298i | −0.745401 | − | 0.666616i | \(-0.767742\pi\) |
0.403648 | + | 0.914914i | \(0.367742\pi\) | |||||||
\(402\) | 6.21135 | − | 4.51281i | 0.309794 | − | 0.225078i | ||||
\(403\) | −0.753833 | − | 2.32006i | −0.0375511 | − | 0.115570i | ||||
\(404\) | 14.4325 | − | 44.4185i | 0.718042 | − | 2.20991i | ||||
\(405\) | −0.809017 | − | 0.587785i | −0.0402004 | − | 0.0292073i | ||||
\(406\) | 4.61257 | 0.228918 | ||||||||
\(407\) | 11.0630 | − | 15.3794i | 0.548375 | − | 0.762331i | ||||
\(408\) | 9.76476 | 0.483428 | ||||||||
\(409\) | −8.19172 | − | 5.95163i | −0.405054 | − | 0.294289i | 0.366542 | − | 0.930401i | \(-0.380542\pi\) |
−0.771597 | + | 0.636112i | \(0.780542\pi\) | |||||||
\(410\) | 6.02636 | − | 18.5472i | 0.297621 | − | 0.915982i | ||||
\(411\) | −4.72622 | − | 14.5458i | −0.233127 | − | 0.717493i | ||||
\(412\) | −11.4779 | + | 8.33918i | −0.565475 | + | 0.410842i | ||||
\(413\) | 1.75637 | − | 1.27608i | 0.0864252 | − | 0.0627915i | ||||
\(414\) | 3.49442 | + | 10.7547i | 0.171741 | + | 0.528566i | ||||
\(415\) | 2.56950 | − | 7.90811i | 0.126132 | − | 0.388194i | ||||
\(416\) | −2.96903 | − | 2.15713i | −0.145569 | − | 0.105762i | ||||
\(417\) | −19.6586 | −0.962686 | ||||||||
\(418\) | 41.2962 | + | 13.2023i | 2.01987 | + | 0.645746i | ||||
\(419\) | 32.8019 | 1.60248 | 0.801240 | − | 0.598343i | \(-0.204174\pi\) | ||||
0.801240 | + | 0.598343i | \(0.204174\pi\) | |||||||
\(420\) | −0.555687 | − | 0.403730i | −0.0271147 | − | 0.0197000i | ||||
\(421\) | −4.36619 | + | 13.4377i | −0.212795 | + | 0.654915i | 0.786508 | + | 0.617580i | \(0.211887\pi\) |
−0.999303 | + | 0.0373351i | \(0.988113\pi\) | |||||||
\(422\) | 9.10342 | + | 28.0175i | 0.443148 | + | 1.36387i | ||||
\(423\) | 8.77969 | − | 6.37882i | 0.426883 | − | 0.310149i | ||||
\(424\) | −27.4246 | + | 19.9251i | −1.33185 | + | 0.967649i | ||||
\(425\) | −0.826838 | − | 2.54475i | −0.0401076 | − | 0.123438i | ||||
\(426\) | −4.36095 | + | 13.4216i | −0.211289 | + | 0.650280i | ||||
\(427\) | −0.188823 | − | 0.137188i | −0.00913779 | − | 0.00663899i | ||||
\(428\) | 17.3443 | 0.838368 | ||||||||
\(429\) | 3.07605 | + | 0.983406i | 0.148513 | + | 0.0474793i | ||||
\(430\) | −12.0458 | −0.580901 | ||||||||
\(431\) | −15.4569 | − | 11.2301i | −0.744531 | − | 0.540933i | 0.149596 | − | 0.988747i | \(-0.452203\pi\) |
−0.894127 | + | 0.447814i | \(0.852203\pi\) | |||||||
\(432\) | 0.463040 | − | 1.42509i | 0.0222780 | − | 0.0685646i | ||||
\(433\) | 4.67235 | + | 14.3800i | 0.224539 | + | 0.691059i | 0.998338 | + | 0.0576283i | \(0.0183538\pi\) |
−0.773799 | + | 0.633431i | \(0.781646\pi\) | |||||||
\(434\) | −0.924015 | + | 0.671336i | −0.0443541 | + | 0.0322252i | ||||
\(435\) | 8.18547 | − | 5.94709i | 0.392463 | − | 0.285141i | ||||
\(436\) | −8.24740 | − | 25.3829i | −0.394979 | − | 1.21562i | ||||
\(437\) | 8.23171 | − | 25.3346i | 0.393776 | − | 1.21192i | ||||
\(438\) | 6.30096 | + | 4.57791i | 0.301071 | + | 0.218741i | ||||
\(439\) | 37.1642 | 1.77375 | 0.886876 | − | 0.462008i | \(-0.152871\pi\) | ||||
0.886876 | + | 0.462008i | \(0.152871\pi\) | |||||||
\(440\) | −7.06799 | + | 9.82567i | −0.336953 | + | 0.468421i | ||||
\(441\) | −6.96255 | −0.331550 | ||||||||
\(442\) | −4.96524 | − | 3.60746i | −0.236172 | − | 0.171589i | ||||
\(443\) | −0.853040 | + | 2.62539i | −0.0405291 | + | 0.124736i | −0.969274 | − | 0.245984i | \(-0.920889\pi\) |
0.928745 | + | 0.370720i | \(0.120889\pi\) | |||||||
\(444\) | 6.26490 | + | 19.2814i | 0.297319 | + | 0.915054i | ||||
\(445\) | −5.94037 | + | 4.31593i | −0.281601 | + | 0.204595i | ||||
\(446\) | −10.2449 | + | 7.44333i | −0.485108 | + | 0.352452i | ||||
\(447\) | −3.13125 | − | 9.63699i | −0.148103 | − | 0.455814i | ||||
\(448\) | −0.710189 | + | 2.18574i | −0.0335533 | + | 0.103266i | ||||
\(449\) | 14.4540 | + | 10.5015i | 0.682127 | + | 0.495594i | 0.874063 | − | 0.485813i | \(-0.161476\pi\) |
−0.191936 | + | 0.981408i | \(0.561476\pi\) | |||||||
\(450\) | −2.35567 | −0.111048 | ||||||||
\(451\) | 26.0728 | − | 8.60813i | 1.22772 | − | 0.405341i | ||||
\(452\) | 71.7780 | 3.37615 | ||||||||
\(453\) | −9.67840 | − | 7.03177i | −0.454731 | − | 0.330381i | ||||
\(454\) | 15.8349 | − | 48.7348i | 0.743168 | − | 2.28724i | ||||
\(455\) | 0.0582308 | + | 0.179216i | 0.00272990 | + | 0.00840178i | ||||
\(456\) | −16.3837 | + | 11.9034i | −0.767236 | + | 0.557429i | ||||
\(457\) | 17.1205 | − | 12.4388i | 0.800864 | − | 0.581862i | −0.110304 | − | 0.993898i | \(-0.535182\pi\) |
0.911167 | + | 0.412036i | \(0.135182\pi\) | |||||||
\(458\) | −1.94416 | − | 5.98350i | −0.0908444 | − | 0.279590i | ||||
\(459\) | −0.826838 | + | 2.54475i | −0.0385935 | + | 0.118779i | ||||
\(460\) | 13.7837 | + | 10.0144i | 0.642668 | + | 0.466926i | ||||
\(461\) | −34.3476 | −1.59973 | −0.799864 | − | 0.600181i | \(-0.795095\pi\) | ||||
−0.799864 | + | 0.600181i | \(0.795095\pi\) | |||||||
\(462\) | −0.00715284 | − | 1.51199i | −0.000332780 | − | 0.0703441i | ||||
\(463\) | 10.4516 | 0.485727 | 0.242864 | − | 0.970060i | \(-0.421913\pi\) | ||||
0.242864 | + | 0.970060i | \(0.421913\pi\) | |||||||
\(464\) | 12.2653 | + | 8.91129i | 0.569404 | + | 0.413696i | ||||
\(465\) | −0.774188 | + | 2.38271i | −0.0359021 | + | 0.110495i | ||||
\(466\) | 4.16892 | + | 12.8306i | 0.193122 | + | 0.594367i | ||||
\(467\) | −23.9820 | + | 17.4239i | −1.10975 | + | 0.806284i | −0.982625 | − | 0.185602i | \(-0.940576\pi\) |
−0.127129 | + | 0.991886i | \(0.540576\pi\) | |||||||
\(468\) | −2.79587 | + | 2.03132i | −0.129239 | + | 0.0938978i | ||||
\(469\) | 0.194911 | + | 0.599875i | 0.00900017 | + | 0.0276997i | ||||
\(470\) | 7.89985 | − | 24.3133i | 0.364393 | − | 1.12149i | ||||
\(471\) | 2.12452 | + | 1.54355i | 0.0978927 | + | 0.0711232i | ||||
\(472\) | 40.9392 | 1.88438 | ||||||||
\(473\) | −10.0334 | − | 13.6734i | −0.461338 | − | 0.628701i | ||||
\(474\) | −23.9170 | −1.09854 | ||||||||
\(475\) | 4.48940 | + | 3.26174i | 0.205988 | + | 0.149659i | ||||
\(476\) | −0.567928 | + | 1.74790i | −0.0260309 | + | 0.0801150i | ||||
\(477\) | −2.87039 | − | 8.83416i | −0.131426 | − | 0.404488i | ||||
\(478\) | −46.4401 | + | 33.7407i | −2.12412 | + | 1.54326i | ||||
\(479\) | 10.6941 | − | 7.76971i | 0.488625 | − | 0.355007i | −0.316030 | − | 0.948749i | \(-0.602350\pi\) |
0.804655 | + | 0.593742i | \(0.202350\pi\) | |||||||
\(480\) | 1.16469 | + | 3.58455i | 0.0531606 | + | 0.163612i | ||||
\(481\) | 1.71875 | − | 5.28977i | 0.0783682 | − | 0.241193i | ||||
\(482\) | −31.8422 | − | 23.1347i | −1.45037 | − | 1.05376i | ||||
\(483\) | −0.929007 | −0.0422713 | ||||||||
\(484\) | −39.0395 | + | 0.369380i | −1.77452 | + | 0.0167900i | ||||
\(485\) | −15.8523 | −0.719816 | ||||||||
\(486\) | 1.90578 | + | 1.38463i | 0.0864480 | + | 0.0628081i | ||||
\(487\) | −13.1325 | + | 40.4176i | −0.595089 | + | 1.83150i | −0.0408075 | + | 0.999167i | \(0.512993\pi\) |
−0.554282 | + | 0.832329i | \(0.687007\pi\) | |||||||
\(488\) | −1.36007 | − | 4.18586i | −0.0615675 | − | 0.189485i | ||||
\(489\) | −19.1927 | + | 13.9443i | −0.867923 | + | 0.630583i | ||||
\(490\) | −13.2691 | + | 9.64056i | −0.599436 | + | 0.435516i | ||||
\(491\) | −4.86568 | − | 14.9750i | −0.219585 | − | 0.675813i | −0.998796 | − | 0.0490515i | \(-0.984380\pi\) |
0.779211 | − | 0.626761i | \(-0.215620\pi\) | |||||||
\(492\) | −9.07968 | + | 27.9444i | −0.409343 | + | 1.25983i | ||||
\(493\) | −21.9019 | − | 15.9127i | −0.986412 | − | 0.716670i | ||||
\(494\) | 12.7284 | 0.572679 | ||||||||
\(495\) | −1.96213 | − | 2.67395i | −0.0881914 | − | 0.120185i | ||||
\(496\) | −3.75405 | −0.168562 | ||||||||
\(497\) | −0.937957 | − | 0.681466i | −0.0420731 | − | 0.0305679i | ||||
\(498\) | −6.05291 | + | 18.6289i | −0.271237 | + | 0.834782i | ||||
\(499\) | −10.3607 | − | 31.8869i | −0.463808 | − | 1.42746i | −0.860475 | − | 0.509493i | \(-0.829833\pi\) |
0.396666 | − | 0.917963i | \(-0.370167\pi\) | |||||||
\(500\) | −2.87136 | + | 2.08617i | −0.128411 | + | 0.0932963i | ||||
\(501\) | −2.82488 | + | 2.05240i | −0.126206 | + | 0.0916943i | ||||
\(502\) | 11.7187 | + | 36.0665i | 0.523032 | + | 1.60973i | ||||
\(503\) | −7.05063 | + | 21.6996i | −0.314372 | + | 0.967537i | 0.661640 | + | 0.749821i | \(0.269861\pi\) |
−0.976012 | + | 0.217716i | \(0.930139\pi\) | |||||||
\(504\) | 0.571377 | + | 0.415129i | 0.0254511 | + | 0.0184913i | ||||
\(505\) | 13.1591 | 0.585574 | ||||||||
\(506\) | 0.177425 | + | 37.5046i | 0.00788749 | + | 1.66728i | ||||
\(507\) | −12.0519 | −0.535243 | ||||||||
\(508\) | −20.3873 | − | 14.8122i | −0.904540 | − | 0.657187i | ||||
\(509\) | 12.2731 | − | 37.7727i | 0.543996 | − | 1.67425i | −0.179370 | − | 0.983782i | \(-0.557406\pi\) |
0.723365 | − | 0.690465i | \(-0.242594\pi\) | |||||||
\(510\) | 1.94776 | + | 5.99460i | 0.0862484 | + | 0.265445i | ||||
\(511\) | −0.517646 | + | 0.376092i | −0.0228993 | + | 0.0166373i | ||||
\(512\) | −13.4170 | + | 9.74805i | −0.592955 | + | 0.430807i | ||||
\(513\) | −1.71480 | − | 5.27760i | −0.0757102 | − | 0.233012i | ||||
\(514\) | −4.34491 | + | 13.3723i | −0.191646 | + | 0.589826i | ||||
\(515\) | −3.23394 | − | 2.34959i | −0.142504 | − | 0.103535i | ||||
\(516\) | 18.1490 | 0.798963 | ||||||||
\(517\) | 34.1784 | − | 11.2843i | 1.50316 | − | 0.496281i | ||||
\(518\) | −2.60410 | −0.114418 | ||||||||
\(519\) | 16.4712 | + | 11.9670i | 0.723007 | + | 0.525295i | ||||
\(520\) | −1.09808 | + | 3.37955i | −0.0481540 | + | 0.148203i | ||||
\(521\) | 7.88005 | + | 24.2523i | 0.345231 | + | 1.06251i | 0.961460 | + | 0.274945i | \(0.0886597\pi\) |
−0.616229 | + | 0.787567i | \(0.711340\pi\) | |||||||
\(522\) | −19.2823 | + | 14.0094i | −0.843963 | + | 0.613175i | ||||
\(523\) | 12.4835 | − | 9.06977i | 0.545864 | − | 0.396593i | −0.280394 | − | 0.959885i | \(-0.590465\pi\) |
0.826258 | + | 0.563291i | \(0.190465\pi\) | |||||||
\(524\) | −2.74217 | − | 8.43953i | −0.119792 | − | 0.368683i | ||||
\(525\) | 0.0598032 | − | 0.184055i | 0.00261002 | − | 0.00803283i | ||||
\(526\) | −0.859791 | − | 0.624675i | −0.0374887 | − | 0.0272371i | ||||
\(527\) | 6.70351 | 0.292010 | ||||||||
\(528\) | 2.90208 | − | 4.03436i | 0.126297 | − | 0.175573i | ||||
\(529\) | 0.0438407 | 0.00190612 | ||||||||
\(530\) | −17.7024 | − | 12.8615i | −0.768943 | − | 0.558669i | ||||
\(531\) | −3.46656 | + | 10.6690i | −0.150436 | + | 0.462993i | ||||
\(532\) | −1.17784 | − | 3.62501i | −0.0510657 | − | 0.157164i | ||||
\(533\) | 6.52145 | − | 4.73811i | 0.282475 | − | 0.205230i | ||||
\(534\) | 13.9936 | − | 10.1669i | 0.605561 | − | 0.439966i | ||||
\(535\) | 1.51011 | + | 4.64764i | 0.0652877 | + | 0.200935i | ||||
\(536\) | −3.67552 | + | 11.3121i | −0.158758 | + | 0.488607i | ||||
\(537\) | −3.11567 | − | 2.26366i | −0.134451 | − | 0.0976843i | ||||
\(538\) | −34.6749 | −1.49494 | ||||||||
\(539\) | −21.9955 | − | 7.03189i | −0.947411 | − | 0.302885i | ||||
\(540\) | 3.54920 | 0.152733 | ||||||||
\(541\) | −22.3294 | − | 16.2233i | −0.960018 | − | 0.697494i | −0.00686309 | − | 0.999976i | \(-0.502185\pi\) |
−0.953155 | + | 0.302483i | \(0.902185\pi\) | |||||||
\(542\) | −3.22324 | + | 9.92010i | −0.138450 | + | 0.426105i | ||||
\(543\) | −5.44337 | − | 16.7530i | −0.233597 | − | 0.718938i | ||||
\(544\) | 8.15877 | − | 5.92769i | 0.349804 | − | 0.254148i | ||||
\(545\) | 6.08362 | − | 4.42001i | 0.260594 | − | 0.189332i | ||||
\(546\) | −0.137173 | − | 0.422175i | −0.00587046 | − | 0.0180674i | ||||
\(547\) | 9.50800 | − | 29.2626i | 0.406533 | − | 1.25118i | −0.513076 | − | 0.858343i | \(-0.671494\pi\) |
0.919608 | − | 0.392836i | \(-0.128506\pi\) | |||||||
\(548\) | 43.9157 | + | 31.9067i | 1.87599 | + | 1.36298i | ||||
\(549\) | 1.20602 | 0.0514718 | ||||||||
\(550\) | −7.44184 | − | 2.37914i | −0.317321 | − | 0.101447i | ||||
\(551\) | 56.1457 | 2.39189 | ||||||||
\(552\) | −14.1729 | − | 10.2972i | −0.603238 | − | 0.438278i | ||||
\(553\) | 0.607177 | − | 1.86870i | 0.0258198 | − | 0.0794652i | ||||
\(554\) | 0.0672109 | + | 0.206854i | 0.00285552 | + | 0.00878838i | ||||
\(555\) | −4.62125 | + | 3.35753i | −0.196161 | + | 0.142519i | ||||
\(556\) | 56.4470 | − | 41.0112i | 2.39389 | − | 1.73926i | ||||
\(557\) | −4.30642 | − | 13.2538i | −0.182469 | − | 0.561582i | 0.817427 | − | 0.576033i | \(-0.195400\pi\) |
−0.999896 | + | 0.0144509i | \(0.995400\pi\) | |||||||
\(558\) | 1.82374 | − | 5.61288i | 0.0772049 | − | 0.237612i | ||||
\(559\) | −4.02817 | − | 2.92664i | −0.170373 | − | 0.123783i | ||||
\(560\) | 0.289986 | 0.0122542 | ||||||||
\(561\) | −5.18217 | + | 7.20406i | −0.218791 | + | 0.304156i | ||||
\(562\) | −12.2095 | −0.515026 | ||||||||
\(563\) | −4.72456 | − | 3.43259i | −0.199117 | − | 0.144667i | 0.483759 | − | 0.875201i | \(-0.339271\pi\) |
−0.682876 | + | 0.730534i | \(0.739271\pi\) | |||||||
\(564\) | −11.9024 | + | 36.6318i | −0.501181 | + | 1.54248i | ||||
\(565\) | 6.24947 | + | 19.2339i | 0.262917 | + | 0.809176i | ||||
\(566\) | 2.98183 | − | 2.16643i | 0.125336 | − | 0.0910618i | ||||
\(567\) | −0.156567 | + | 0.113752i | −0.00657518 | + | 0.00477715i | ||||
\(568\) | −6.75599 | − | 20.7928i | −0.283475 | − | 0.872447i | ||||
\(569\) | −1.68536 | + | 5.18701i | −0.0706540 | + | 0.217451i | −0.980148 | − | 0.198266i | \(-0.936469\pi\) |
0.909494 | + | 0.415716i | \(0.136469\pi\) | |||||||
\(570\) | −10.5756 | − | 7.68359i | −0.442961 | − | 0.321830i | ||||
\(571\) | 40.2894 | 1.68606 | 0.843030 | − | 0.537866i | \(-0.180770\pi\) | ||||
0.843030 | + | 0.537866i | \(0.180770\pi\) | |||||||
\(572\) | −10.8840 | + | 3.59344i | −0.455084 | + | 0.150249i | ||||
\(573\) | 0.417099 | 0.0174246 | ||||||||
\(574\) | −3.05332 | − | 2.21837i | −0.127443 | − | 0.0925928i | ||||
\(575\) | −1.48341 | + | 4.56545i | −0.0618623 | + | 0.190392i | ||||
\(576\) | −3.66971 | − | 11.2942i | −0.152905 | − | 0.470592i | ||||
\(577\) | 19.2737 | − | 14.0032i | 0.802374 | − | 0.582959i | −0.109236 | − | 0.994016i | \(-0.534840\pi\) |
0.911610 | + | 0.411057i | \(0.134840\pi\) | |||||||
\(578\) | −18.7540 | + | 13.6256i | −0.780065 | + | 0.566750i | ||||
\(579\) | 3.61443 | + | 11.1241i | 0.150210 | + | 0.462300i | ||||
\(580\) | −11.0968 | + | 34.1525i | −0.460771 | + | 1.41811i | ||||
\(581\) | −1.30186 | − | 0.945860i | −0.0540104 | − | 0.0392409i | ||||
\(582\) | 37.3428 | 1.54791 | ||||||||
\(583\) | −0.145740 | − | 30.8071i | −0.00603595 | − | 1.27590i | ||||
\(584\) | −12.0658 | −0.499287 | ||||||||
\(585\) | −0.787747 | − | 0.572331i | −0.0325693 | − | 0.0236630i | ||||
\(586\) | 16.8570 | − | 51.8805i | 0.696357 | − | 2.14317i | ||||
\(587\) | 6.05919 | + | 18.6483i | 0.250090 | + | 0.769697i | 0.994758 | + | 0.102262i | \(0.0326079\pi\) |
−0.744668 | + | 0.667435i | \(0.767392\pi\) | |||||||
\(588\) | 19.9920 | − | 14.5250i | 0.824457 | − | 0.599003i | ||||
\(589\) | −11.2474 | + | 8.17172i | −0.463441 | + | 0.336710i | ||||
\(590\) | 8.16608 | + | 25.1326i | 0.336192 | + | 1.03469i | ||||
\(591\) | 6.67348 | − | 20.5389i | 0.274510 | − | 0.844856i | ||||
\(592\) | −6.92460 | − | 5.03102i | −0.284599 | − | 0.206774i | ||||
\(593\) | 3.31095 | 0.135964 | 0.0679822 | − | 0.997687i | \(-0.478344\pi\) | ||||
0.0679822 | + | 0.997687i | \(0.478344\pi\) | |||||||
\(594\) | 4.62215 | + | 6.29896i | 0.189649 | + | 0.258450i | ||||
\(595\) | −0.517822 | −0.0212286 | ||||||||
\(596\) | 29.0953 | + | 21.1390i | 1.19179 | + | 0.865887i | ||||
\(597\) | 2.39806 | − | 7.38046i | 0.0981460 | − | 0.302062i | ||||
\(598\) | 3.40255 | + | 10.4720i | 0.139140 | + | 0.428230i | ||||
\(599\) | −25.9460 | + | 18.8509i | −1.06012 | + | 0.770225i | −0.974111 | − | 0.226069i | \(-0.927413\pi\) |
−0.0860126 | + | 0.996294i | \(0.527413\pi\) | |||||||
\(600\) | 2.95244 | − | 2.14507i | 0.120533 | − | 0.0875722i | ||||
\(601\) | −9.05125 | − | 27.8569i | −0.369208 | − | 1.13631i | −0.947304 | − | 0.320337i | \(-0.896204\pi\) |
0.578095 | − | 0.815969i | \(-0.303796\pi\) | |||||||
\(602\) | −0.720378 | + | 2.21710i | −0.0293604 | + | 0.0903621i | ||||
\(603\) | −2.63676 | − | 1.91572i | −0.107377 | − | 0.0780141i | ||||
\(604\) | 42.4596 | 1.72766 | ||||||||
\(605\) | −3.49802 | − | 10.4290i | −0.142215 | − | 0.423999i | ||||
\(606\) | −30.9986 | −1.25923 | ||||||||
\(607\) | 31.6169 | + | 22.9710i | 1.28329 | + | 0.932364i | 0.999647 | − | 0.0265657i | \(-0.00845712\pi\) |
0.283642 | + | 0.958930i | \(0.408457\pi\) | |||||||
\(608\) | −6.46311 | + | 19.8914i | −0.262114 | + | 0.806703i | ||||
\(609\) | −0.605076 | − | 1.86223i | −0.0245189 | − | 0.0754615i | ||||
\(610\) | 2.29842 | − | 1.66990i | 0.0930601 | − | 0.0676121i | ||||
\(611\) | 8.54886 | − | 6.21111i | 0.345850 | − | 0.251275i | ||||
\(612\) | −2.93462 | − | 9.03182i | −0.118625 | − | 0.365090i | ||||
\(613\) | −3.93452 | + | 12.1092i | −0.158914 | + | 0.489086i | −0.998536 | − | 0.0540840i | \(-0.982776\pi\) |
0.839623 | + | 0.543170i | \(0.182776\pi\) | |||||||
\(614\) | −14.7218 | − | 10.6960i | −0.594123 | − | 0.431655i | ||||
\(615\) | −8.27861 | −0.333826 | ||||||||
\(616\) | 1.38578 | + | 1.88851i | 0.0558346 | + | 0.0760901i | ||||
\(617\) | −8.97789 | −0.361436 | −0.180718 | − | 0.983535i | \(-0.557842\pi\) | ||||
−0.180718 | + | 0.983535i | \(0.557842\pi\) | |||||||
\(618\) | 7.61810 | + | 5.53487i | 0.306445 | + | 0.222645i | ||||
\(619\) | −6.86392 | + | 21.1250i | −0.275884 | + | 0.849084i | 0.713100 | + | 0.701062i | \(0.247290\pi\) |
−0.988984 | + | 0.148022i | \(0.952710\pi\) | |||||||
\(620\) | −2.74775 | − | 8.45670i | −0.110352 | − | 0.339629i | ||||
\(621\) | 3.88361 | − | 2.82160i | 0.155844 | − | 0.113227i | ||||
\(622\) | −36.4402 | + | 26.4753i | −1.46112 | + | 1.06156i | ||||
\(623\) | 0.439117 | + | 1.35146i | 0.0175928 | + | 0.0541452i | ||||
\(624\) | 0.450866 | − | 1.38762i | 0.0180491 | − | 0.0555493i | ||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | −6.83868 | −0.273329 | ||||||||
\(627\) | −0.0870666 | − | 18.4044i | −0.00347711 | − | 0.735001i | ||||
\(628\) | −9.32038 | −0.371924 | ||||||||
\(629\) | 12.3651 | + | 8.98377i | 0.493029 | + | 0.358206i | ||||
\(630\) | −0.140877 | + | 0.433574i | −0.00561266 | + | 0.0172740i | ||||
\(631\) | 8.27153 | + | 25.4572i | 0.329285 | + | 1.01343i | 0.969469 | + | 0.245213i | \(0.0788578\pi\) |
−0.640185 | + | 0.768221i | \(0.721142\pi\) | |||||||
\(632\) | 29.9759 | − | 21.7788i | 1.19238 | − | 0.866313i | ||||
\(633\) | 10.1173 | − | 7.35065i | 0.402127 | − | 0.292162i | ||||
\(634\) | −1.64627 | − | 5.06670i | −0.0653817 | − | 0.201224i | ||||
\(635\) | 2.19409 | − | 6.75270i | 0.0870697 | − | 0.267973i | ||||
\(636\) | 26.6715 | + | 19.3780i | 1.05759 | + | 0.768386i | ||||
\(637\) | −6.77949 | −0.268613 | ||||||||
\(638\) | −75.0639 | + | 24.7829i | −2.97181 | + | 0.981166i | ||||
\(639\) | 5.99078 | 0.236992 | ||||||||
\(640\) | −16.5336 | − | 12.0123i | −0.653547 | − | 0.474830i | ||||
\(641\) | 4.65770 | − | 14.3349i | 0.183968 | − | 0.566195i | −0.815961 | − | 0.578107i | \(-0.803792\pi\) |
0.999929 | + | 0.0119117i | \(0.00379170\pi\) | |||||||
\(642\) | −3.55733 | − | 10.9483i | −0.140396 | − | 0.432096i | ||||
\(643\) | 31.7840 | − | 23.0925i | 1.25344 | − | 0.910678i | 0.255024 | − | 0.966935i | \(-0.417917\pi\) |
0.998416 | + | 0.0562569i | \(0.0179166\pi\) | |||||||
\(644\) | 2.66752 | − | 1.93807i | 0.105115 | − | 0.0763705i | ||||
\(645\) | 1.58017 | + | 4.86326i | 0.0622191 | + | 0.191491i | ||||
\(646\) | −10.8085 | + | 33.2652i | −0.425256 | + | 1.30880i | ||||
\(647\) | −19.2656 | − | 13.9973i | −0.757408 | − | 0.550289i | 0.140706 | − | 0.990051i | \(-0.455063\pi\) |
−0.898114 | + | 0.439762i | \(0.855063\pi\) | |||||||
\(648\) | −3.64941 | −0.143363 | ||||||||
\(649\) | −21.7265 | + | 30.2033i | −0.852838 | + | 1.18559i | ||||
\(650\) | −2.29374 | −0.0899679 | ||||||||
\(651\) | 0.392251 | + | 0.284987i | 0.0153735 | + | 0.0111695i | ||||
\(652\) | 26.0190 | − | 80.0784i | 1.01898 | − | 3.13611i | ||||
\(653\) | 2.13331 | + | 6.56566i | 0.0834829 | + | 0.256934i | 0.984081 | − | 0.177718i | \(-0.0568714\pi\) |
−0.900599 | + | 0.434652i | \(0.856871\pi\) | |||||||
\(654\) | −14.3310 | + | 10.4121i | −0.560387 | + | 0.407145i | ||||
\(655\) | 2.02273 | − | 1.46960i | 0.0790348 | − | 0.0574221i | ||||
\(656\) | −3.83332 | − | 11.7978i | −0.149666 | − | 0.460625i | ||||
\(657\) | 1.02168 | − | 3.14442i | 0.0398596 | − | 0.122675i | ||||
\(658\) | −4.00254 | − | 2.90802i | −0.156035 | − | 0.113366i | ||||
\(659\) | −20.3718 | −0.793571 | −0.396786 | − | 0.917911i | \(-0.629874\pi\) | ||||
−0.396786 | + | 0.917911i | \(0.629874\pi\) | |||||||
\(660\) | 11.2123 | + | 3.58455i | 0.436439 | + | 0.139528i | ||||
\(661\) | −19.7451 | −0.767994 | −0.383997 | − | 0.923334i | \(-0.625453\pi\) | ||||
−0.383997 | + | 0.923334i | \(0.625453\pi\) | |||||||
\(662\) | 11.4792 | + | 8.34013i | 0.446152 | + | 0.324148i | ||||
\(663\) | −0.805099 | + | 2.47784i | −0.0312675 | + | 0.0962314i | ||||
\(664\) | −9.37717 | − | 28.8600i | −0.363905 | − | 1.11998i | ||||
\(665\) | 0.868820 | − | 0.631235i | 0.0336914 | − | 0.0244782i | ||||
\(666\) | 10.8861 | − | 7.90925i | 0.421830 | − | 0.306477i | ||||
\(667\) | 15.0088 | + | 46.1923i | 0.581143 | + | 1.78857i | ||||
\(668\) | 3.82962 | − | 11.7864i | 0.148172 | − | 0.456028i | ||||
\(669\) | 4.34901 | + | 3.15974i | 0.168143 | + | 0.122163i | ||||
\(670\) | −7.67765 | −0.296613 | ||||||||
\(671\) | 3.80996 | + | 1.21803i | 0.147082 | + | 0.0470217i | ||||
\(672\) | 0.729407 | 0.0281375 | ||||||||
\(673\) | −29.6207 | − | 21.5207i | −1.14180 | − | 0.829563i | −0.154427 | − | 0.988004i | \(-0.549353\pi\) |
−0.987368 | + | 0.158441i | \(0.949353\pi\) | |||||||
\(674\) | 10.6023 | − | 32.6306i | 0.408386 | − | 1.25688i | ||||
\(675\) | 0.309017 | + | 0.951057i | 0.0118941 | + | 0.0366062i | ||||
\(676\) | 34.6054 | − | 25.1423i | 1.33098 | − | 0.967011i | ||||
\(677\) | −5.96357 | + | 4.33279i | −0.229199 | + | 0.166523i | −0.696458 | − | 0.717598i | \(-0.745242\pi\) |
0.467259 | + | 0.884120i | \(0.345242\pi\) | |||||||
\(678\) | −14.7217 | − | 45.3088i | −0.565384 | − | 1.74007i | ||||
\(679\) | −0.948017 | + | 2.91770i | −0.0363816 | + | 0.111971i | ||||
\(680\) | −7.89985 | − | 5.73958i | −0.302946 | − | 0.220103i | ||||
\(681\) | −21.7529 | −0.833573 | ||||||||
\(682\) | 11.4302 | − | 15.8898i | 0.437684 | − | 0.608452i | ||||
\(683\) | 24.5651 | 0.939959 | 0.469979 | − | 0.882677i | \(-0.344261\pi\) | ||||
0.469979 | + | 0.882677i | \(0.344261\pi\) | |||||||
\(684\) | 15.9338 | + | 11.5766i | 0.609243 | + | 0.442641i | ||||
\(685\) | −4.72622 | + | 14.5458i | −0.180580 | + | 0.555767i | ||||
\(686\) | 1.96700 | + | 6.05380i | 0.0751004 | + | 0.231135i | ||||
\(687\) | −2.16068 | + | 1.56983i | −0.0824352 | + | 0.0598927i | ||||
\(688\) | −6.19890 | + | 4.50376i | −0.236331 | + | 0.171704i | ||||
\(689\) | −2.79492 | − | 8.60189i | −0.106478 | − | 0.327706i | ||||
\(690\) | 3.49442 | − | 10.7547i | 0.133030 | − | 0.409425i | ||||
\(691\) | −24.1439 | − | 17.5416i | −0.918479 | − | 0.667314i | 0.0246662 | − | 0.999696i | \(-0.492148\pi\) |
−0.943145 | + | 0.332382i | \(0.892148\pi\) | |||||||
\(692\) | −72.2602 | −2.74692 | ||||||||
\(693\) | −0.609497 | + | 0.201230i | −0.0231529 | + | 0.00764410i | ||||
\(694\) | −67.9262 | −2.57844 | ||||||||
\(695\) | 15.9041 | + | 11.5550i | 0.603279 | + | 0.438308i | ||||
\(696\) | 11.4102 | − | 35.1168i | 0.432501 | − | 1.33110i | ||||
\(697\) | 6.84507 | + | 21.0670i | 0.259276 | + | 0.797968i | ||||
\(698\) | −3.11088 | + | 2.26019i | −0.117749 | + | 0.0855494i | ||||
\(699\) | 4.63323 | − | 3.36624i | 0.175245 | − | 0.127323i | ||||
\(700\) | 0.212253 | + | 0.653249i | 0.00802243 | + | 0.0246905i | ||||
\(701\) | −4.45569 | + | 13.7132i | −0.168289 | + | 0.517940i | −0.999264 | − | 0.0383701i | \(-0.987783\pi\) |
0.830975 | + | 0.556310i | \(0.187783\pi\) | |||||||
\(702\) | 1.85567 | + | 1.34823i | 0.0700379 | + | 0.0508855i | ||||
\(703\) | −31.6980 | −1.19551 | ||||||||
\(704\) | −0.186325 | − | 39.3859i | −0.00702238 | − | 1.48441i | ||||
\(705\) | −10.8523 | −0.408721 | ||||||||
\(706\) | 47.5106 | + | 34.5184i | 1.78808 | + | 1.29912i | ||||
\(707\) | 0.786958 | − | 2.42201i | 0.0295966 | − | 0.0910890i | ||||
\(708\) | −12.3035 | − | 37.8663i | −0.462394 | − | 1.42310i | ||||
\(709\) | 36.0084 | − | 26.1616i | 1.35232 | − | 0.982520i | 0.353430 | − | 0.935461i | \(-0.385015\pi\) |
0.998892 | − | 0.0470585i | \(-0.0149847\pi\) | |||||||
\(710\) | 11.4171 | − | 8.29502i | 0.428477 | − | 0.311307i | ||||
\(711\) | 3.13743 | + | 9.65601i | 0.117663 | + | 0.362129i | ||||
\(712\) | −8.28059 | + | 25.4850i | −0.310328 | + | 0.955093i | ||||
\(713\) | −9.72970 | − | 7.06904i | −0.364380 | − | 0.264738i | ||||
\(714\) | 1.21982 | 0.0456506 | ||||||||
\(715\) | −1.91055 | − | 2.60365i | −0.0714504 | − | 0.0973710i | ||||
\(716\) | 13.6686 | 0.510819 | ||||||||
\(717\) | 19.7141 | + | 14.3232i | 0.736238 | + | 0.534908i | ||||
\(718\) | −20.7034 | + | 63.7185i | −0.772644 | + | 2.37795i | ||||
\(719\) | 1.11044 | + | 3.41758i | 0.0414124 | + | 0.127454i | 0.969625 | − | 0.244595i | \(-0.0786551\pi\) |
−0.928213 | + | 0.372050i | \(0.878655\pi\) | |||||||
\(720\) | −1.21225 | + | 0.880754i | −0.0451780 | + | 0.0328238i | ||||
\(721\) | −0.625854 | + | 0.454710i | −0.0233080 | + | 0.0169343i | ||||
\(722\) | −8.58510 | − | 26.4222i | −0.319504 | − | 0.983333i | ||||
\(723\) | −5.16312 | + | 15.8904i | −0.192018 | + | 0.590972i | ||||
\(724\) | 50.5794 | + | 36.7481i | 1.87977 | + | 1.36573i | ||||
\(725\) | −10.1178 | −0.375766 | ||||||||
\(726\) | 8.24018 | + | 24.5673i | 0.305822 | + | 0.911778i | ||||
\(727\) | −39.0846 | −1.44957 | −0.724784 | − | 0.688976i | \(-0.758060\pi\) | ||||
−0.724784 | + | 0.688976i | \(0.758060\pi\) | |||||||
\(728\) | 0.556354 | + | 0.404215i | 0.0206199 | + | 0.0149812i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −2.40675 | − | 7.40722i | −0.0890779 | − | 0.274154i | ||||
\(731\) | 11.0692 | − | 8.04226i | 0.409410 | − | 0.297454i | ||||
\(732\) | −3.46293 | + | 2.51597i | −0.127994 | + | 0.0929928i | ||||
\(733\) | 11.6519 | + | 35.8610i | 0.430374 | + | 1.32455i | 0.897753 | + | 0.440498i | \(0.145198\pi\) |
−0.467379 | + | 0.884057i | \(0.654802\pi\) | |||||||
\(734\) | 7.60065 | − | 23.3924i | 0.280545 | − | 0.863429i | ||||
\(735\) | 5.63282 | + | 4.09248i | 0.207770 | + | 0.150953i | ||||
\(736\) | −18.0928 | −0.666910 | ||||||||
\(737\) | −6.39502 | − | 8.71499i | −0.235564 | − | 0.321021i | ||||
\(738\) | 19.5017 | 0.717868 | ||||||||
\(739\) | −12.0806 | − | 8.77706i | −0.444392 | − | 0.322869i | 0.342986 | − | 0.939341i | \(-0.388562\pi\) |
−0.787377 | + | 0.616471i | \(0.788562\pi\) | |||||||
\(740\) | 6.26490 | − | 19.2814i | 0.230302 | − | 0.708798i | ||||
\(741\) | −1.66971 | − | 5.13885i | −0.0613384 | − | 0.188780i | ||||
\(742\) | −3.42589 | + | 2.48906i | −0.125768 | + | 0.0913761i | ||||
\(743\) | −10.8149 | + | 7.85749i | −0.396760 | + | 0.288263i | −0.768220 | − | 0.640186i | \(-0.778857\pi\) |
0.371460 | + | 0.928449i | \(0.378857\pi\) | |||||||
\(744\) | 2.82533 | + | 8.69548i | 0.103582 | + | 0.318792i | ||||
\(745\) | −3.13125 | + | 9.63699i | −0.114720 | + | 0.353072i | ||||
\(746\) | −5.36949 | − | 3.90116i | −0.196591 | − | 0.142832i | ||||
\(747\) | 8.31508 | 0.304233 | ||||||||
\(748\) | −0.149001 | − | 31.4964i | −0.00544803 | − | 1.15162i | ||||
\(749\) | 0.945731 | 0.0345563 | ||||||||
\(750\) | 1.90578 | + | 1.38463i | 0.0695893 | + | 0.0505596i | ||||
\(751\) | 12.5045 | − | 38.4849i | 0.456296 | − | 1.40434i | −0.413310 | − | 0.910590i | \(-0.635627\pi\) |
0.869606 | − | 0.493745i | \(-0.164373\pi\) | |||||||
\(752\) | −5.02504 | − | 15.4655i | −0.183244 | − | 0.563968i | ||||
\(753\) | 13.0239 | − | 9.46240i | 0.474617 | − | 0.344829i | ||||
\(754\) | −18.7753 | + | 13.6411i | −0.683757 | + | 0.496779i | ||||
\(755\) | 3.69682 | + | 11.3776i | 0.134541 | + | 0.414075i | ||||
\(756\) | 0.212253 | − | 0.653249i | 0.00771958 | − | 0.0237584i | ||||
\(757\) | 6.90704 | + | 5.01826i | 0.251040 | + | 0.182392i | 0.706188 | − | 0.708025i | \(-0.250413\pi\) |
−0.455147 | + | 0.890416i | \(0.650413\pi\) | |||||||
\(758\) | −21.0437 | −0.764341 | ||||||||
\(759\) | 15.1184 | − | 4.99148i | 0.548765 | − | 0.181179i | ||||
\(760\) | 20.2513 | 0.734593 | ||||||||
\(761\) | 17.2162 | + | 12.5083i | 0.624089 | + | 0.453427i | 0.854347 | − | 0.519703i | \(-0.173957\pi\) |
−0.230259 | + | 0.973129i | \(0.573957\pi\) | |||||||
\(762\) | −5.16855 | + | 15.9072i | −0.187237 | + | 0.576256i | ||||
\(763\) | −0.449706 | − | 1.38405i | −0.0162804 | − | 0.0501060i | ||||
\(764\) | −1.19764 | + | 0.870139i | −0.0433292 | + | 0.0314805i | ||||
\(765\) | 2.16469 | − | 1.57274i | 0.0782646 | − | 0.0568625i | ||||
\(766\) | 6.21139 | + | 19.1167i | 0.224427 | + | 0.690714i | ||||
\(767\) | −3.37541 | + | 10.3885i | −0.121879 | + | 0.375105i | ||||
\(768\) | 19.7329 | + | 14.3368i | 0.712048 | + | 0.517333i | ||||
\(769\) | −24.4717 | −0.882471 | −0.441235 | − | 0.897391i | \(-0.645460\pi\) | ||||
−0.441235 | + | 0.897391i | \(0.645460\pi\) | |||||||
\(770\) | −0.882938 | + | 1.22743i | −0.0318189 | + | 0.0442335i | ||||
\(771\) | 5.96875 | 0.214959 | ||||||||
\(772\) | −33.5850 | − | 24.4009i | −1.20875 | − | 0.878209i | ||||
\(773\) | 4.21721 | − | 12.9792i | 0.151682 | − | 0.466830i | −0.846127 | − | 0.532981i | \(-0.821072\pi\) |
0.997810 | + | 0.0661505i | \(0.0210717\pi\) | |||||||
\(774\) | −3.72236 | − | 11.4563i | −0.133798 | − | 0.411787i | ||||
\(775\) | 2.02685 | − | 1.47259i | 0.0728066 | − | 0.0528971i | ||||
\(776\) | −46.8029 | + | 34.0043i | −1.68013 | + | 1.22068i | ||||
\(777\) | 0.341606 | + | 1.05136i | 0.0122550 | + | 0.0377172i | ||||
\(778\) | −8.57207 | + | 26.3821i | −0.307324 | + | 0.945845i | ||||
\(779\) | −37.1660 | − | 27.0027i | −1.33161 | − | 0.967471i | ||||
\(780\) | 3.45589 | 0.123741 | ||||||||
\(781\) | 18.9255 | + | 6.05045i | 0.677209 | + | 0.216502i | ||||
\(782\) | −30.2574 | −1.08200 | ||||||||
\(783\) | 8.18547 | + | 5.94709i | 0.292525 | + | 0.212532i | ||||
\(784\) | −3.22394 | + | 9.92225i | −0.115141 | + | 0.354366i | ||||
\(785\) | −0.811494 | − | 2.49752i | −0.0289635 | − | 0.0891404i | ||||
\(786\) | −4.76490 | + | 3.46191i | −0.169958 | + | 0.123482i | ||||
\(787\) | 6.03291 | − | 4.38317i | 0.215050 | − | 0.156243i | −0.475046 | − | 0.879961i | \(-0.657568\pi\) |
0.690096 | + | 0.723718i | \(0.257568\pi\) | |||||||
\(788\) | 23.6855 | + | 72.8966i | 0.843762 | + | 2.59683i | ||||
\(789\) | −0.139413 | + | 0.429068i | −0.00496322 | + | 0.0152752i | ||||
\(790\) | 19.3493 | + | 14.0581i | 0.688416 | + | 0.500163i | ||||
\(791\) | 3.91383 | 0.139160 | ||||||||
\(792\) | −11.5289 | − | 3.68576i | −0.409662 | − | 0.130968i | ||||
\(793\) | 1.17431 | 0.0417011 | ||||||||
\(794\) | −2.69124 | − | 1.95530i | −0.0955085 | − | 0.0693910i | ||||
\(795\) | −2.87039 | + | 8.83416i | −0.101802 | + | 0.313315i | ||||
\(796\) | 8.51119 | + | 26.1947i | 0.301671 | + | 0.928448i | ||||
\(797\) | −9.73624 | + | 7.07379i | −0.344875 | + | 0.250567i | −0.746716 | − | 0.665143i | \(-0.768371\pi\) |
0.401841 | + | 0.915710i | \(0.368371\pi\) | |||||||
\(798\) | −2.04666 | + | 1.48698i | −0.0724509 | + | 0.0526386i | ||||
\(799\) | 8.97309 | + | 27.6163i | 0.317445 | + | 0.976996i | ||||
\(800\) | 1.16469 | − | 3.58455i | 0.0411781 | − | 0.126733i | ||||
\(801\) | −5.94037 | − | 4.31593i | −0.209893 | − | 0.152496i | ||||
\(802\) | −19.9270 | −0.703648 | ||||||||
\(803\) | 6.40334 | − | 8.90170i | 0.225969 | − | 0.314134i | ||||
\(804\) | 11.5676 | 0.407958 | ||||||||
\(805\) | 0.751583 | + | 0.546057i | 0.0264898 | + | 0.0192460i | ||||
\(806\) | 1.77579 | − | 5.46531i | 0.0625494 | − | 0.192507i | ||||
\(807\) | 4.54864 | + | 13.9993i | 0.160120 | + | 0.492798i | ||||
\(808\) | 38.8515 | − | 28.2273i | 1.36679 | − | 0.993033i | ||||
\(809\) | 40.4782 | − | 29.4091i | 1.42314 | − | 1.03397i | 0.431892 | − | 0.901925i | \(-0.357846\pi\) |
0.991244 | − | 0.132044i | \(-0.0421539\pi\) | |||||||
\(810\) | −0.727943 | − | 2.24038i | −0.0255773 | − | 0.0787189i | ||||
\(811\) | −3.46678 | + | 10.6697i | −0.121735 | + | 0.374663i | −0.993292 | − | 0.115632i | \(-0.963111\pi\) |
0.871557 | + | 0.490294i | \(0.163111\pi\) | |||||||
\(812\) | 5.62233 | + | 4.08486i | 0.197305 | + | 0.143350i | ||||
\(813\) | 4.42787 | 0.155292 | ||||||||
\(814\) | 42.3786 | − | 13.9916i | 1.48537 | − | 0.490406i | ||||
\(815\) | 23.7235 | 0.830997 | ||||||||
\(816\) | 3.24363 | + | 2.35664i | 0.113550 | + | 0.0824988i | ||||
\(817\) | −8.76867 | + | 26.9872i | −0.306777 | + | 0.944163i | ||||
\(818\) | −7.37080 | − | 22.6850i | −0.257714 | − | 0.793163i | ||||
\(819\) | −0.152450 | + | 0.110762i | −0.00532704 | + | 0.00387032i | ||||
\(820\) | 23.7709 | − | 17.2706i | 0.830116 | − | 0.603114i | ||||
\(821\) | 2.27969 | + | 7.01616i | 0.0795617 | + | 0.244866i | 0.982924 | − | 0.184013i | \(-0.0589088\pi\) |
−0.903362 | + | 0.428879i | \(0.858909\pi\) | |||||||
\(822\) | 11.1334 | − | 34.2652i | 0.388323 | − | 1.19514i | ||||
\(823\) | −28.8318 | − | 20.9475i | −1.00501 | − | 0.730184i | −0.0418554 | − | 0.999124i | \(-0.513327\pi\) |
−0.963157 | + | 0.268939i | \(0.913327\pi\) | |||||||
\(824\) | −14.5880 | −0.508198 | ||||||||
\(825\) | 0.0156899 | + | 3.31659i | 0.000546254 | + | 0.115469i | ||||
\(826\) | 5.11414 | 0.177944 | ||||||||
\(827\) | 40.8789 | + | 29.7003i | 1.42150 | + | 1.03278i | 0.991522 | + | 0.129940i | \(0.0414784\pi\) |
0.429977 | + | 0.902840i | \(0.358522\pi\) | |||||||
\(828\) | −5.26490 | + | 16.2037i | −0.182968 | + | 0.563118i | ||||
\(829\) | −1.89888 | − | 5.84416i | −0.0659509 | − | 0.202976i | 0.912651 | − | 0.408741i | \(-0.134032\pi\) |
−0.978602 | + | 0.205765i | \(0.934032\pi\) | |||||||
\(830\) | 15.8467 | − | 11.5133i | 0.550047 | − | 0.399633i | ||||
\(831\) | 0.0746965 | − | 0.0542702i | 0.00259119 | − | 0.00188261i | ||||
\(832\) | −3.57323 | − | 10.9973i | −0.123879 | − | 0.381262i | ||||
\(833\) | 5.75690 | − | 17.7179i | 0.199465 | − | 0.613890i | ||||
\(834\) | −37.4650 | − | 27.2199i | −1.29731 | − | 0.942548i | ||||
\(835\) | 3.49175 | 0.120837 | ||||||||
\(836\) | 38.6447 | + | 52.6641i | 1.33655 | + | 1.82143i | ||||
\(837\) | −2.50533 | −0.0865967 | ||||||||
\(838\) | 62.5133 | + | 45.4186i | 2.15949 | + | 1.56896i | ||||
\(839\) | −11.5953 | + | 35.6865i | −0.400312 | + | 1.23204i | 0.524434 | + | 0.851451i | \(0.324277\pi\) |
−0.924746 | + | 0.380584i | \(0.875723\pi\) | |||||||
\(840\) | −0.218246 | − | 0.671694i | −0.00753022 | − | 0.0231756i | ||||
\(841\) | −59.3574 | + | 43.1257i | −2.04681 | + | 1.48709i | ||||
\(842\) | −26.9273 | + | 19.5638i | −0.927976 | + | 0.674214i | ||||
\(843\) | 1.60164 | + | 4.92934i | 0.0551633 | + | 0.169775i | ||||
\(844\) | −13.7158 | + | 42.2128i | −0.472116 | + | 1.45302i | ||||
\(845\) | 9.75019 | + | 7.08392i | 0.335417 | + | 0.243694i | ||||
\(846\) | 25.5645 | 0.878924 | ||||||||
\(847\) | −2.12870 | + | 0.0201412i | −0.0731431 | + | 0.000692058i | ||||
\(848\) | −13.9186 | −0.477966 | ||||||||
\(849\) | −1.26581 | − | 0.919664i | −0.0434424 | − | 0.0315628i | ||||
\(850\) | 1.94776 | − | 5.99460i | 0.0668077 | − | 0.205613i | ||||
\(851\) | −8.47347 | − | 26.0787i | −0.290467 | − | 0.893965i | ||||
\(852\) | −17.2017 | + | 12.4978i | −0.589321 | + | 0.428167i | ||||
\(853\) | 21.8533 | − | 15.8774i | 0.748244 | − | 0.543631i | −0.147038 | − | 0.989131i | \(-0.546974\pi\) |
0.895282 | + | 0.445500i | \(0.146974\pi\) | |||||||
\(854\) | −0.169901 | − | 0.522900i | −0.00581388 | − | 0.0178933i | ||||
\(855\) | −1.71480 | + | 5.27760i | −0.0586448 | + | 0.180490i | ||||
\(856\) | 14.4280 | + | 10.4826i | 0.493140 | + | 0.358287i | ||||
\(857\) | −2.51515 | −0.0859159 | −0.0429580 | − | 0.999077i | \(-0.513678\pi\) | ||||
−0.0429580 | + | 0.999077i | \(0.513678\pi\) | |||||||
\(858\) | 4.50063 | + | 6.13335i | 0.153649 | + | 0.209389i | ||||
\(859\) | 6.70885 | 0.228903 | 0.114451 | − | 0.993429i | \(-0.463489\pi\) | ||||
0.114451 | + | 0.993429i | \(0.463489\pi\) | |||||||
\(860\) | −14.6828 | − | 10.6677i | −0.500680 | − | 0.363765i | ||||
\(861\) | −0.495087 | + | 1.52372i | −0.0168725 | + | 0.0519283i | ||||
\(862\) | −13.9079 | − | 42.8041i | −0.473705 | − | 1.45791i | ||||
\(863\) | 2.67577 | − | 1.94406i | 0.0910844 | − | 0.0661767i | −0.541311 | − | 0.840822i | \(-0.682072\pi\) |
0.632395 | + | 0.774646i | \(0.282072\pi\) | |||||||
\(864\) | −3.04920 | + | 2.21537i | −0.103736 | + | 0.0753686i | ||||
\(865\) | −6.29145 | − | 19.3631i | −0.213916 | − | 0.658365i | ||||
\(866\) | −11.0065 | + | 33.8746i | −0.374017 | + | 1.15111i | ||||
\(867\) | 7.96121 | + | 5.78416i | 0.270377 | + | 0.196440i | ||||
\(868\) | −1.72082 | −0.0584086 | ||||||||
\(869\) | 0.159299 | + | 33.6731i | 0.00540384 | + | 1.14228i | ||||
\(870\) | 23.8342 | 0.808056 | ||||||||
\(871\) | −2.56744 | − | 1.86535i | −0.0869942 | − | 0.0632050i | ||||
\(872\) | 8.48027 | − | 26.0996i | 0.287178 | − | 0.883844i | ||||
\(873\) | −4.89863 | − | 15.0764i | −0.165793 | − | 0.510260i | ||||
\(874\) | 50.7669 | − | 36.8843i | 1.71722 | − | 1.24763i | ||||
\(875\) | −0.156567 | + | 0.113752i | −0.00529292 | + | 0.00384553i | ||||
\(876\) | 3.62616 | + | 11.1602i | 0.122517 | + | 0.377067i | ||||
\(877\) | 9.91956 | − | 30.5293i | 0.334960 | − | 1.03090i | −0.631782 | − | 0.775146i | \(-0.717676\pi\) |
0.966742 | − | 0.255754i | \(-0.0823238\pi\) | |||||||
\(878\) | 70.8269 | + | 51.4587i | 2.39029 | + | 1.73665i | ||||
\(879\) | −23.1570 | −0.781067 | ||||||||
\(880\) | −4.71917 | + | 1.55807i | −0.159083 | + | 0.0525226i | ||||
\(881\) | −35.2547 | −1.18776 | −0.593881 | − | 0.804553i | \(-0.702405\pi\) | ||||
−0.593881 | + | 0.804553i | \(0.702405\pi\) | |||||||
\(882\) | −13.2691 | − | 9.64056i | −0.446793 | − | 0.324614i | ||||
\(883\) | −0.140866 | + | 0.433541i | −0.00474052 | + | 0.0145898i | −0.953399 | − | 0.301713i | \(-0.902442\pi\) |
0.948658 | + | 0.316303i | \(0.102442\pi\) | |||||||
\(884\) | −2.85746 | − | 8.79436i | −0.0961068 | − | 0.295786i | ||||
\(885\) | 9.07556 | − | 6.59378i | 0.305072 | − | 0.221647i | ||||
\(886\) | −5.26090 | + | 3.82226i | −0.176743 | + | 0.128411i | ||||
\(887\) | −0.556725 | − | 1.71342i | −0.0186930 | − | 0.0575312i | 0.941275 | − | 0.337641i | \(-0.109629\pi\) |
−0.959968 | + | 0.280110i | \(0.909629\pi\) | |||||||
\(888\) | −6.44179 | + | 19.8258i | −0.216172 | + | 0.665310i | ||||
\(889\) | −1.11166 | − | 0.807666i | −0.0372838 | − | 0.0270882i | ||||
\(890\) | −17.2970 | −0.579797 | ||||||||
\(891\) | 1.93675 | − | 2.69240i | 0.0648835 | − | 0.0901987i | ||||
\(892\) | −19.0794 | −0.638824 | ||||||||
\(893\) | −48.7203 | − | 35.3973i | −1.63036 | − | 1.18453i | ||||
\(894\) | 7.37620 | − | 22.7016i | 0.246697 | − | 0.759255i | ||||
\(895\) | 1.19008 | + | 3.66268i | 0.0397799 | + | 0.122430i | ||||
\(896\) | −3.19970 | + | 2.32471i | −0.106894 | + | 0.0776633i | ||||
\(897\) | 3.78150 | − | 2.74742i | 0.126261 | − | 0.0917337i | ||||
\(898\) | 13.0055 | + | 40.0269i | 0.434001 | + | 1.33572i | ||||
\(899\) | 7.83308 | − | 24.1077i | 0.261248 | − | 0.804038i | ||||
\(900\) | −2.87136 | − | 2.08617i | −0.0957121 | − | 0.0695389i | ||||
\(901\) | 24.8541 | 0.828009 | ||||||||
\(902\) | 61.6080 | + | 19.6959i | 2.05132 | + | 0.655803i | ||||
\(903\) | 0.989607 | 0.0329321 | ||||||||
\(904\) | 59.7092 | + | 43.3813i | 1.98590 | + | 1.44284i | ||||
\(905\) | −5.44337 | + | 16.7530i | −0.180944 | + | 0.556887i | ||||
\(906\) | −8.70850 | − | 26.8020i | −0.289321 | − | 0.890437i | ||||
\(907\) | 28.5962 | − | 20.7764i | 0.949522 | − | 0.689868i | −0.00117159 | − | 0.999999i | \(-0.500373\pi\) |
0.950694 | + | 0.310131i | \(0.100373\pi\) | |||||||
\(908\) | 62.4605 | − | 45.3802i | 2.07282 | − | 1.50600i | ||||
\(909\) | 4.06640 | + | 12.5151i | 0.134874 | + | 0.415099i | ||||
\(910\) | −0.137173 | + | 0.422175i | −0.00454724 | + | 0.0139950i | ||||
\(911\) | 1.33388 | + | 0.969123i | 0.0441935 | + | 0.0321085i | 0.609663 | − | 0.792661i | \(-0.291305\pi\) |
−0.565469 | + | 0.824769i | \(0.691305\pi\) | |||||||
\(912\) | −8.31508 | −0.275340 | ||||||||
\(913\) | 26.2682 | + | 8.39789i | 0.869352 | + | 0.277930i | ||||
\(914\) | 49.8511 | 1.64893 | ||||||||
\(915\) | −0.975693 | − | 0.708883i | −0.0322554 | − | 0.0234349i | ||||
\(916\) | 2.92918 | − | 9.01510i | 0.0967829 | − | 0.297867i | ||||
\(917\) | −0.149522 | − | 0.460182i | −0.00493765 | − | 0.0151965i | ||||
\(918\) | −5.09931 | + | 3.70486i | −0.168302 | + | 0.122279i | ||||
\(919\) | 0.258068 | − | 0.187498i | 0.00851288 | − | 0.00618497i | −0.583521 | − | 0.812098i | \(-0.698325\pi\) |
0.592034 | + | 0.805913i | \(0.298325\pi\) | |||||||
\(920\) | 5.41356 | + | 16.6612i | 0.178480 | + | 0.549304i | ||||
\(921\) | −2.38710 | + | 7.34672i | −0.0786575 | + | 0.242083i | ||||
\(922\) | −65.4590 | − | 47.5588i | −2.15578 | − | 1.56626i | ||||
\(923\) | 5.83327 | 0.192005 | ||||||||
\(924\) | 1.33029 | − | 1.84932i | 0.0437632 | − | 0.0608381i | ||||
\(925\) | 5.71217 | 0.187815 | ||||||||
\(926\) | 19.9185 | + | 14.4716i | 0.654561 | + | 0.475567i | ||||
\(927\) | 1.23525 | − | 3.80172i | 0.0405711 | − | 0.124865i | ||||
\(928\) | −11.7841 | − | 36.2678i | −0.386832 | − | 1.19055i | ||||
\(929\) | −45.4270 | + | 33.0046i | −1.49041 | + | 1.08285i | −0.516400 | + | 0.856347i | \(0.672728\pi\) |
−0.974011 | + | 0.226500i | \(0.927272\pi\) | |||||||
\(930\) | −4.77460 | + | 3.46895i | −0.156565 | + | 0.113751i | ||||
\(931\) | 11.9394 | + | 36.7456i | 0.391297 | + | 1.20429i | ||||
\(932\) | −6.28115 | + | 19.3314i | −0.205746 | + | 0.633221i | ||||
\(933\) | 15.4691 | + | 11.2390i | 0.506436 | + | 0.367947i | ||||
\(934\) | −69.8301 | −2.28491 | ||||||||
\(935\) | 8.42690 | − | 2.78221i | 0.275589 | − | 0.0909880i | ||||
\(936\) | −3.55346 | −0.116149 | ||||||||
\(937\) | −29.8061 | − | 21.6554i | −0.973724 | − | 0.707452i | −0.0174269 | − | 0.999848i | \(-0.505547\pi\) |
−0.956297 | + | 0.292396i | \(0.905547\pi\) | |||||||
\(938\) | −0.459148 | + | 1.41311i | −0.0149917 | + | 0.0461397i | ||||
\(939\) | 0.897097 | + | 2.76098i | 0.0292756 | + | 0.0901012i | ||||
\(940\) | 31.1609 | − | 22.6397i | 1.01636 | − | 0.738426i | ||||
\(941\) | 12.3865 | − | 8.99929i | 0.403787 | − | 0.293368i | −0.367295 | − | 0.930105i | \(-0.619716\pi\) |
0.771082 | + | 0.636736i | \(0.219716\pi\) | |||||||
\(942\) | 1.91162 | + | 5.88335i | 0.0622838 | + | 0.191690i | ||||
\(943\) | 12.2805 | − | 37.7956i | 0.399909 | − | 1.23079i | ||||
\(944\) | 13.5991 | + | 9.88030i | 0.442612 | + | 0.321576i | ||||
\(945\) | 0.193527 | 0.00629544 | ||||||||
\(946\) | −0.188998 | − | 39.9510i | −0.00614486 | − | 1.29892i | ||||
\(947\) | −22.6654 | −0.736526 | −0.368263 | − | 0.929722i | \(-0.620047\pi\) | ||||
−0.368263 | + | 0.929722i | \(0.620047\pi\) | |||||||
\(948\) | −29.1528 | − | 21.1807i | −0.946838 | − | 0.687918i | ||||
\(949\) | 0.994821 | − | 3.06174i | 0.0322933 | − | 0.0993884i | ||||
\(950\) | 4.03950 | + | 12.4323i | 0.131059 | + | 0.403358i | ||||
\(951\) | −1.82962 | + | 1.32930i | −0.0593295 | + | 0.0431054i | ||||
\(952\) | −1.52884 | + | 1.11076i | −0.0495499 | + | 0.0360001i | ||||
\(953\) | 12.1544 | + | 37.4074i | 0.393719 | + | 1.21174i | 0.929955 | + | 0.367675i | \(0.119846\pi\) |
−0.536235 | + | 0.844069i | \(0.680154\pi\) | |||||||
\(954\) | 6.76171 | − | 20.8104i | 0.218918 | − | 0.673762i | ||||
\(955\) | −0.337440 | − | 0.245165i | −0.0109193 | − | 0.00793334i | ||||
\(956\) | −86.4870 | −2.79719 | ||||||||
\(957\) | 19.8525 | + | 27.0545i | 0.641740 | + | 0.874548i | ||||
\(958\) | 31.1388 | 1.00605 | ||||||||
\(959\) | 2.39459 | + | 1.73977i | 0.0773254 | + | 0.0561802i | ||||
\(960\) | −3.66971 | + | 11.2942i | −0.118439 | + | 0.364519i | ||||
\(961\) | −7.63993 | − | 23.5133i | −0.246449 | − | 0.758493i | ||||
\(962\) | 10.5999 | − | 7.70130i | 0.341756 | − | 0.248300i | ||||
\(963\) | −3.95352 | + | 2.87240i | −0.127400 | + | 0.0925618i | ||||
\(964\) | −18.3249 | − | 56.3984i | −0.590207 | − | 1.81647i | ||||
\(965\) | 3.61443 | − | 11.1241i | 0.116353 | − | 0.358096i | ||||
\(966\) | −1.77048 | − | 1.28633i | −0.0569644 | − | 0.0413871i | ||||
\(967\) | 3.06103 | 0.0984360 | 0.0492180 | − | 0.998788i | \(-0.484327\pi\) | ||||
0.0492180 | + | 0.998788i | \(0.484327\pi\) | |||||||
\(968\) | −32.6986 | − | 23.2875i | −1.05097 | − | 0.748487i | ||||
\(969\) | 14.8480 | 0.476987 | ||||||||
\(970\) | −30.2110 | − | 21.9496i | −0.970016 | − | 0.704758i | ||||
\(971\) | 9.90043 | − | 30.4704i | 0.317720 | − | 0.977841i | −0.656900 | − | 0.753977i | \(-0.728133\pi\) |
0.974620 | − | 0.223864i | \(-0.0718672\pi\) | |||||||
\(972\) | 1.09676 | + | 3.37549i | 0.0351787 | + | 0.108269i | ||||
\(973\) | 3.07788 | − | 2.23621i | 0.0986724 | − | 0.0716897i | ||||
\(974\) | −80.9911 | + | 58.8434i | −2.59512 | + | 1.88547i | ||||
\(975\) | 0.300892 | + | 0.926052i | 0.00963627 | + | 0.0296574i | ||||
\(976\) | 0.558436 | − | 1.71869i | 0.0178751 | − | 0.0550139i | ||||
\(977\) | 43.0366 | + | 31.2679i | 1.37686 | + | 1.00035i | 0.997166 | + | 0.0752388i | \(0.0239719\pi\) |
0.379697 | + | 0.925111i | \(0.376028\pi\) | |||||||
\(978\) | −55.8848 | −1.78700 | ||||||||
\(979\) | −14.4074 | − | 19.6340i | −0.460462 | − | 0.627507i | ||||
\(980\) | −24.7115 | −0.789379 | ||||||||
\(981\) | 6.08362 | + | 4.42001i | 0.194235 | + | 0.141120i | ||||
\(982\) | 11.4619 | − | 35.2762i | 0.365765 | − | 1.12571i | ||||
\(983\) | −7.57104 | − | 23.3013i | −0.241479 | − | 0.743195i | −0.996196 | − | 0.0871446i | \(-0.972226\pi\) |
0.754717 | − | 0.656051i | \(-0.227774\pi\) | |||||||
\(984\) | −24.4421 | + | 17.7582i | −0.779185 | + | 0.566111i | ||||
\(985\) | −17.4714 | + | 12.6937i | −0.556685 | + | 0.404456i | ||||
\(986\) | −19.7071 | − | 60.6521i | −0.627601 | − | 1.93156i | ||||
\(987\) | −0.649001 | + | 1.99742i | −0.0206579 | + | 0.0635786i | ||||
\(988\) | 15.5149 | + | 11.2722i | 0.493593 | + | 0.358616i | ||||
\(989\) | −24.5470 | −0.780549 | ||||||||
\(990\) | −0.0369604 | − | 7.81280i | −0.00117468 | − | 0.248307i | ||||
\(991\) | −6.34819 | −0.201657 | −0.100828 | − | 0.994904i | \(-0.532149\pi\) | ||||
−0.100828 | + | 0.994904i | \(0.532149\pi\) | |||||||
\(992\) | 7.63924 | + | 5.55023i | 0.242546 | + | 0.176220i | ||||
\(993\) | 1.86132 | − | 5.72856i | 0.0590673 | − | 0.181790i | ||||
\(994\) | −0.843962 | − | 2.59745i | −0.0267689 | − | 0.0823861i | ||||
\(995\) | −6.27820 | + | 4.56138i | −0.199032 | + | 0.144605i | ||||
\(996\) | −23.8756 | + | 17.3466i | −0.756528 | + | 0.549650i | ||||
\(997\) | −8.01777 | − | 24.6761i | −0.253925 | − | 0.781501i | −0.994040 | − | 0.109020i | \(-0.965229\pi\) |
0.740114 | − | 0.672481i | \(-0.234771\pi\) | |||||||
\(998\) | 24.4064 | − | 75.1152i | 0.772572 | − | 2.37773i | ||||
\(999\) | −4.62125 | − | 3.35753i | −0.146210 | − | 0.106228i |
(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 | 165.2.m.d.136.2 | yes | 8 | |
3.2 | odd | 2 | 495.2.n.a.136.1 | 8 | |||
5.2 | odd | 4 | 825.2.bx.f.499.1 | 16 | |||
5.3 | odd | 4 | 825.2.bx.f.499.4 | 16 | |||
5.4 | even | 2 | 825.2.n.g.301.1 | 8 | |||
11.3 | even | 5 | inner | 165.2.m.d.91.2 | ✓ | 8 | |
11.5 | even | 5 | 1815.2.a.p.1.1 | 4 | |||
11.6 | odd | 10 | 1815.2.a.w.1.4 | 4 | |||
33.5 | odd | 10 | 5445.2.a.bt.1.4 | 4 | |||
33.14 | odd | 10 | 495.2.n.a.91.1 | 8 | |||
33.17 | even | 10 | 5445.2.a.bf.1.1 | 4 | |||
55.3 | odd | 20 | 825.2.bx.f.124.1 | 16 | |||
55.14 | even | 10 | 825.2.n.g.751.1 | 8 | |||
55.39 | odd | 10 | 9075.2.a.cm.1.1 | 4 | |||
55.47 | odd | 20 | 825.2.bx.f.124.4 | 16 | |||
55.49 | even | 10 | 9075.2.a.di.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.m.d.91.2 | ✓ | 8 | 11.3 | even | 5 | inner | |
165.2.m.d.136.2 | yes | 8 | 1.1 | even | 1 | trivial | |
495.2.n.a.91.1 | 8 | 33.14 | odd | 10 | |||
495.2.n.a.136.1 | 8 | 3.2 | odd | 2 | |||
825.2.n.g.301.1 | 8 | 5.4 | even | 2 | |||
825.2.n.g.751.1 | 8 | 55.14 | even | 10 | |||
825.2.bx.f.124.1 | 16 | 55.3 | odd | 20 | |||
825.2.bx.f.124.4 | 16 | 55.47 | odd | 20 | |||
825.2.bx.f.499.1 | 16 | 5.2 | odd | 4 | |||
825.2.bx.f.499.4 | 16 | 5.3 | odd | 4 | |||
1815.2.a.p.1.1 | 4 | 11.5 | even | 5 | |||
1815.2.a.w.1.4 | 4 | 11.6 | odd | 10 | |||
5445.2.a.bf.1.1 | 4 | 33.17 | even | 10 | |||
5445.2.a.bt.1.4 | 4 | 33.5 | odd | 10 | |||
9075.2.a.cm.1.1 | 4 | 55.39 | odd | 10 | |||
9075.2.a.di.1.4 | 4 | 55.49 | even | 10 |