Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(101,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bn (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.5 | ||
Character | \(\chi\) | \(=\) | 546.101 |
Dual form | 546.2.bn.f.173.5 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | −1.51226 | + | 0.844435i | −0.873104 | + | 0.487535i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.511132 | + | 0.295102i | −0.228585 | + | 0.131974i | −0.609919 | − | 0.792464i | \(-0.708798\pi\) |
0.381334 | + | 0.924437i | \(0.375465\pi\) | |||||||
\(6\) | −0.0248275 | + | 1.73187i | −0.0101358 | + | 0.707034i | ||||
\(7\) | 1.57814 | + | 2.12355i | 0.596483 | + | 0.802626i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 1.57386 | − | 2.55401i | 0.524620 | − | 0.851337i | ||||
\(10\) | 0.590205i | 0.186639i | ||||||||
\(11\) | −6.11042 | −1.84236 | −0.921180 | − | 0.389137i | \(-0.872773\pi\) | ||||
−0.921180 | + | 0.389137i | \(0.872773\pi\) | |||||||
\(12\) | 1.48743 | + | 0.887438i | 0.429385 | + | 0.256181i | ||||
\(13\) | −1.86885 | − | 3.08341i | −0.518326 | − | 0.855183i | ||||
\(14\) | 2.62812 | − | 0.304939i | 0.702394 | − | 0.0814984i | ||||
\(15\) | 0.523770 | − | 0.877889i | 0.135237 | − | 0.226670i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.82336 | + | 6.62225i | 0.927301 | + | 1.60613i | 0.787818 | + | 0.615908i | \(0.211211\pi\) |
0.139483 | + | 0.990224i | \(0.455456\pi\) | |||||||
\(18\) | −1.42491 | − | 2.64001i | −0.335854 | − | 0.622256i | ||||
\(19\) | −3.95103 | −0.906429 | −0.453214 | − | 0.891401i | \(-0.649723\pi\) | ||||
−0.453214 | + | 0.891401i | \(0.649723\pi\) | |||||||
\(20\) | 0.511132 | + | 0.295102i | 0.114293 | + | 0.0659869i | ||||
\(21\) | −4.17976 | − | 1.87872i | −0.912099 | − | 0.409969i | ||||
\(22\) | −3.05521 | + | 5.29178i | −0.651373 | + | 1.12821i | ||||
\(23\) | −7.26252 | − | 4.19302i | −1.51434 | − | 0.874305i | −0.999859 | − | 0.0168038i | \(-0.994651\pi\) |
−0.514482 | − | 0.857501i | \(-0.672016\pi\) | |||||||
\(24\) | 1.51226 | − | 0.844435i | 0.308689 | − | 0.172370i | ||||
\(25\) | −2.32583 | + | 4.02845i | −0.465166 | + | 0.805691i | ||||
\(26\) | −3.60473 | + | 0.0767706i | −0.706946 | + | 0.0150560i | ||||
\(27\) | −0.223387 | + | 5.19135i | −0.0429908 | + | 0.999075i | ||||
\(28\) | 1.04997 | − | 2.42849i | 0.198427 | − | 0.458941i | ||||
\(29\) | −1.39183 | + | 0.803572i | −0.258456 | + | 0.149220i | −0.623630 | − | 0.781720i | \(-0.714343\pi\) |
0.365174 | + | 0.930939i | \(0.381009\pi\) | |||||||
\(30\) | −0.498390 | − | 0.892543i | −0.0909931 | − | 0.162955i | ||||
\(31\) | −1.38966 | + | 2.40696i | −0.249590 | + | 0.432303i | −0.963412 | − | 0.268024i | \(-0.913629\pi\) |
0.713822 | + | 0.700327i | \(0.246963\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 9.24054 | − | 5.15985i | 1.60857 | − | 0.898215i | ||||
\(34\) | 7.64672 | 1.31140 | ||||||||
\(35\) | −1.43330 | − | 0.619700i | −0.242273 | − | 0.104748i | ||||
\(36\) | −2.99877 | − | 0.0859963i | −0.499795 | − | 0.0143327i | ||||
\(37\) | −1.93040 | − | 1.11452i | −0.317356 | − | 0.183226i | 0.332857 | − | 0.942977i | \(-0.391987\pi\) |
−0.650213 | + | 0.759752i | \(0.725321\pi\) | |||||||
\(38\) | −1.97552 | + | 3.42169i | −0.320471 | + | 0.555072i | ||||
\(39\) | 5.42993 | + | 3.08479i | 0.869484 | + | 0.493961i | ||||
\(40\) | 0.511132 | − | 0.295102i | 0.0808171 | − | 0.0466598i | ||||
\(41\) | −1.36416 | + | 0.787598i | −0.213046 | + | 0.123002i | −0.602726 | − | 0.797948i | \(-0.705919\pi\) |
0.389680 | + | 0.920950i | \(0.372586\pi\) | |||||||
\(42\) | −3.71690 | + | 2.68042i | −0.573530 | + | 0.413598i | ||||
\(43\) | −2.90674 | + | 5.03462i | −0.443274 | + | 0.767773i | −0.997930 | − | 0.0643067i | \(-0.979516\pi\) |
0.554656 | + | 0.832080i | \(0.312850\pi\) | |||||||
\(44\) | 3.05521 | + | 5.29178i | 0.460590 | + | 0.797765i | ||||
\(45\) | −0.0507554 | + | 1.76989i | −0.00756617 | + | 0.263839i | ||||
\(46\) | −7.26252 | + | 4.19302i | −1.07080 | + | 0.618227i | ||||
\(47\) | 4.94554 | − | 2.85531i | 0.721381 | − | 0.416489i | −0.0938798 | − | 0.995584i | \(-0.529927\pi\) |
0.815261 | + | 0.579094i | \(0.196594\pi\) | |||||||
\(48\) | 0.0248275 | − | 1.73187i | 0.00358355 | − | 0.249974i | ||||
\(49\) | −2.01892 | + | 6.70253i | −0.288417 | + | 0.957505i | ||||
\(50\) | 2.32583 | + | 4.02845i | 0.328922 | + | 0.569709i | ||||
\(51\) | −11.3740 | − | 6.78599i | −1.59268 | − | 0.950228i | ||||
\(52\) | −1.73588 | + | 3.16018i | −0.240723 | + | 0.438238i | ||||
\(53\) | 3.30431 | + | 1.90774i | 0.453881 | + | 0.262049i | 0.709468 | − | 0.704738i | \(-0.248935\pi\) |
−0.255587 | + | 0.966786i | \(0.582269\pi\) | |||||||
\(54\) | 4.38415 | + | 2.78913i | 0.596607 | + | 0.379553i | ||||
\(55\) | 3.12323 | − | 1.80320i | 0.421136 | − | 0.243143i | ||||
\(56\) | −1.57814 | − | 2.12355i | −0.210888 | − | 0.283771i | ||||
\(57\) | 5.97499 | − | 3.33639i | 0.791406 | − | 0.441916i | ||||
\(58\) | 1.60714i | 0.211028i | ||||||||
\(59\) | −3.88177 | + | 2.24114i | −0.505363 | + | 0.291772i | −0.730926 | − | 0.682457i | \(-0.760911\pi\) |
0.225562 | + | 0.974229i | \(0.427578\pi\) | |||||||
\(60\) | −1.02216 | − | 0.0146533i | −0.131960 | − | 0.00189174i | ||||
\(61\) | − | 0.100596i | − | 0.0128800i | −0.999979 | − | 0.00644002i | \(-0.997950\pi\) | ||
0.999979 | − | 0.00644002i | \(-0.00204994\pi\) | |||||||
\(62\) | 1.38966 | + | 2.40696i | 0.176487 | + | 0.305684i | ||||
\(63\) | 7.90734 | − | 0.688433i | 0.996231 | − | 0.0867344i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.86515 | + | 1.02453i | 0.231344 | + | 0.127077i | ||||
\(66\) | 0.151707 | − | 10.5825i | 0.0186738 | − | 1.30261i | ||||
\(67\) | − | 10.3459i | − | 1.26396i | −0.774985 | − | 0.631979i | \(-0.782243\pi\) | ||
0.774985 | − | 0.631979i | \(-0.217757\pi\) | |||||||
\(68\) | 3.82336 | − | 6.62225i | 0.463651 | − | 0.803066i | ||||
\(69\) | 14.5236 | + | 0.208205i | 1.74843 | + | 0.0250649i | ||||
\(70\) | −1.25333 | + | 0.931429i | −0.149801 | + | 0.111327i | ||||
\(71\) | 0.875991 | − | 1.51726i | 0.103961 | − | 0.180066i | −0.809352 | − | 0.587324i | \(-0.800182\pi\) |
0.913313 | + | 0.407258i | \(0.133515\pi\) | |||||||
\(72\) | −1.57386 | + | 2.55401i | −0.185481 | + | 0.300993i | ||||
\(73\) | 5.41081 | − | 9.37179i | 0.633287 | − | 1.09689i | −0.353588 | − | 0.935401i | \(-0.615039\pi\) |
0.986875 | − | 0.161484i | \(-0.0516280\pi\) | |||||||
\(74\) | −1.93040 | + | 1.11452i | −0.224405 | + | 0.129560i | ||||
\(75\) | 0.115489 | − | 8.05608i | 0.0133356 | − | 0.930236i | ||||
\(76\) | 1.97552 | + | 3.42169i | 0.226607 | + | 0.392495i | ||||
\(77\) | −9.64312 | − | 12.9758i | −1.09894 | − | 1.47873i | ||||
\(78\) | 5.38647 | − | 3.16006i | 0.609897 | − | 0.357806i | ||||
\(79\) | −3.17751 | − | 5.50361i | −0.357498 | − | 0.619205i | 0.630044 | − | 0.776559i | \(-0.283037\pi\) |
−0.987542 | + | 0.157355i | \(0.949703\pi\) | |||||||
\(80\) | − | 0.590205i | − | 0.0659869i | ||||||
\(81\) | −4.04594 | − | 8.03930i | −0.449549 | − | 0.893256i | ||||
\(82\) | 1.57520i | 0.173951i | ||||||||
\(83\) | 9.07449i | 0.996055i | 0.867161 | + | 0.498027i | \(0.165942\pi\) | ||||
−0.867161 | + | 0.498027i | \(0.834058\pi\) | |||||||
\(84\) | 0.462866 | + | 4.55914i | 0.0505029 | + | 0.497443i | ||||
\(85\) | −3.90849 | − | 2.25657i | −0.423935 | − | 0.244759i | ||||
\(86\) | 2.90674 | + | 5.03462i | 0.313442 | + | 0.542897i | ||||
\(87\) | 1.42624 | − | 2.39052i | 0.152909 | − | 0.256290i | ||||
\(88\) | 6.11042 | 0.651373 | ||||||||
\(89\) | 3.56660 | + | 2.05918i | 0.378059 | + | 0.218272i | 0.676973 | − | 0.736008i | \(-0.263291\pi\) |
−0.298915 | + | 0.954280i | \(0.596625\pi\) | |||||||
\(90\) | 1.50739 | + | 0.928899i | 0.158893 | + | 0.0979145i | ||||
\(91\) | 3.59844 | − | 8.83466i | 0.377219 | − | 0.926124i | ||||
\(92\) | 8.38604i | 0.874305i | ||||||||
\(93\) | 0.0690037 | − | 4.81343i | 0.00715535 | − | 0.499129i | ||||
\(94\) | − | 5.71062i | − | 0.589005i | ||||||
\(95\) | 2.01950 | − | 1.16596i | 0.207196 | − | 0.119625i | ||||
\(96\) | −1.48743 | − | 0.887438i | −0.151810 | − | 0.0905737i | ||||
\(97\) | 2.82580 | − | 4.89442i | 0.286916 | − | 0.496953i | −0.686156 | − | 0.727455i | \(-0.740703\pi\) |
0.973072 | + | 0.230501i | \(0.0740365\pi\) | |||||||
\(98\) | 4.79511 | + | 5.09970i | 0.484379 | + | 0.515148i | ||||
\(99\) | −9.61693 | + | 15.6061i | −0.966538 | + | 1.56847i | ||||
\(100\) | 4.65166 | 0.465166 | ||||||||
\(101\) | 11.8216 | 1.17629 | 0.588144 | − | 0.808756i | \(-0.299859\pi\) | ||||
0.588144 | + | 0.808756i | \(0.299859\pi\) | |||||||
\(102\) | −11.5638 | + | 6.45716i | −1.14499 | + | 0.639354i | ||||
\(103\) | −3.76608 | + | 2.17435i | −0.371083 | + | 0.214245i | −0.673932 | − | 0.738794i | \(-0.735396\pi\) |
0.302848 | + | 0.953039i | \(0.402062\pi\) | |||||||
\(104\) | 1.86885 | + | 3.08341i | 0.183256 | + | 0.302353i | ||||
\(105\) | 2.69083 | − | 0.273186i | 0.262598 | − | 0.0266602i | ||||
\(106\) | 3.30431 | − | 1.90774i | 0.320943 | − | 0.185296i | ||||
\(107\) | 7.65622 | + | 4.42032i | 0.740154 | + | 0.427328i | 0.822125 | − | 0.569306i | \(-0.192788\pi\) |
−0.0819711 | + | 0.996635i | \(0.526122\pi\) | |||||||
\(108\) | 4.60753 | − | 2.40222i | 0.443360 | − | 0.231153i | ||||
\(109\) | −14.8949 | − | 8.59957i | −1.42667 | − | 0.823690i | −0.429816 | − | 0.902917i | \(-0.641421\pi\) |
−0.996857 | + | 0.0792270i | \(0.974755\pi\) | |||||||
\(110\) | − | 3.60640i | − | 0.343856i | ||||||
\(111\) | 3.86041 | + | 0.0553415i | 0.366414 | + | 0.00525278i | ||||
\(112\) | −2.62812 | + | 0.304939i | −0.248334 | + | 0.0288141i | ||||
\(113\) | −13.5393 | − | 7.81690i | −1.27367 | − | 0.735353i | −0.297992 | − | 0.954568i | \(-0.596317\pi\) |
−0.975676 | + | 0.219216i | \(0.929650\pi\) | |||||||
\(114\) | 0.0980944 | − | 6.84269i | 0.00918739 | − | 0.640876i | ||||
\(115\) | 4.94948 | 0.461541 | ||||||||
\(116\) | 1.39183 | + | 0.803572i | 0.129228 | + | 0.0746098i | ||||
\(117\) | −10.8164 | − | 0.0797765i | −0.999973 | − | 0.00737534i | ||||
\(118\) | 4.48228i | 0.412627i | ||||||||
\(119\) | −8.02886 | + | 18.5700i | −0.736005 | + | 1.70231i | ||||
\(120\) | −0.523770 | + | 0.877889i | −0.0478134 | + | 0.0801400i | ||||
\(121\) | 26.3372 | 2.39429 | ||||||||
\(122\) | −0.0871190 | − | 0.0502982i | −0.00788738 | − | 0.00455378i | ||||
\(123\) | 1.39789 | − | 2.34300i | 0.126043 | − | 0.211261i | ||||
\(124\) | 2.77932 | 0.249590 | ||||||||
\(125\) | − | 5.69645i | − | 0.509506i | ||||||
\(126\) | 3.35747 | − | 7.19218i | 0.299107 | − | 0.640730i | ||||
\(127\) | 2.99064 | + | 5.17994i | 0.265377 | + | 0.459646i | 0.967662 | − | 0.252250i | \(-0.0811704\pi\) |
−0.702286 | + | 0.711895i | \(0.747837\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0.144334 | − | 10.0682i | 0.0127079 | − | 0.886457i | ||||
\(130\) | 1.81984 | − | 1.10301i | 0.159611 | − | 0.0967400i | ||||
\(131\) | 2.79856 | + | 4.84725i | 0.244511 | + | 0.423506i | 0.961994 | − | 0.273070i | \(-0.0880392\pi\) |
−0.717483 | + | 0.696576i | \(0.754706\pi\) | |||||||
\(132\) | −9.08883 | − | 5.42261i | −0.791081 | − | 0.471978i | ||||
\(133\) | −6.23530 | − | 8.39021i | −0.540669 | − | 0.727523i | ||||
\(134\) | −8.95985 | − | 5.17297i | −0.774013 | − | 0.446877i | ||||
\(135\) | −1.41780 | − | 2.71939i | −0.122025 | − | 0.234048i | ||||
\(136\) | −3.82336 | − | 6.62225i | −0.327850 | − | 0.567854i | ||||
\(137\) | 10.5736 | + | 18.3140i | 0.903363 | + | 1.56467i | 0.823099 | + | 0.567898i | \(0.192243\pi\) |
0.0802641 | + | 0.996774i | \(0.474424\pi\) | |||||||
\(138\) | 7.44209 | − | 12.4737i | 0.633513 | − | 1.06183i | ||||
\(139\) | 9.34314 | + | 5.39426i | 0.792475 | + | 0.457535i | 0.840833 | − | 0.541295i | \(-0.182066\pi\) |
−0.0483583 | + | 0.998830i | \(0.515399\pi\) | |||||||
\(140\) | 0.179977 | + | 1.55113i | 0.0152108 | + | 0.131094i | ||||
\(141\) | −5.06782 | + | 8.49415i | −0.426787 | + | 0.715337i | ||||
\(142\) | −0.875991 | − | 1.51726i | −0.0735115 | − | 0.127326i | ||||
\(143\) | 11.4195 | + | 18.8409i | 0.954944 | + | 1.57555i | ||||
\(144\) | 1.42491 | + | 2.64001i | 0.118742 | + | 0.220001i | ||||
\(145\) | 0.474272 | − | 0.821463i | 0.0393861 | − | 0.0682188i | ||||
\(146\) | −5.41081 | − | 9.37179i | −0.447801 | − | 0.775615i | ||||
\(147\) | −2.60673 | − | 11.8408i | −0.214999 | − | 0.976614i | ||||
\(148\) | 2.22904i | 0.183226i | ||||||||
\(149\) | 8.02218 | 0.657203 | 0.328601 | − | 0.944469i | \(-0.393423\pi\) | ||||
0.328601 | + | 0.944469i | \(0.393423\pi\) | |||||||
\(150\) | −6.91903 | − | 4.12806i | −0.564936 | − | 0.337054i | ||||
\(151\) | 7.60834 | + | 4.39268i | 0.619158 | + | 0.357471i | 0.776541 | − | 0.630066i | \(-0.216972\pi\) |
−0.157383 | + | 0.987538i | \(0.550306\pi\) | |||||||
\(152\) | 3.95103 | 0.320471 | ||||||||
\(153\) | 22.9307 | + | 0.657590i | 1.85384 | + | 0.0531630i | ||||
\(154\) | −16.0589 | + | 1.86331i | −1.29406 | + | 0.150149i | ||||
\(155\) | − | 1.64037i | − | 0.131758i | ||||||
\(156\) | −0.0434603 | − | 6.24485i | −0.00347961 | − | 0.499988i | ||||
\(157\) | 2.49489 | + | 1.44042i | 0.199114 | + | 0.114958i | 0.596242 | − | 0.802805i | \(-0.296660\pi\) |
−0.397128 | + | 0.917763i | \(0.629993\pi\) | |||||||
\(158\) | −6.35503 | −0.505579 | ||||||||
\(159\) | −6.60793 | − | 0.0947291i | −0.524043 | − | 0.00751251i | ||||
\(160\) | −0.511132 | − | 0.295102i | −0.0404086 | − | 0.0233299i | ||||
\(161\) | −2.55723 | − | 22.0395i | −0.201538 | − | 1.73696i | ||||
\(162\) | −8.98521 | − | 0.515766i | −0.705945 | − | 0.0405224i | ||||
\(163\) | − | 5.37931i | − | 0.421340i | −0.977557 | − | 0.210670i | \(-0.932435\pi\) | ||
0.977557 | − | 0.210670i | \(-0.0675646\pi\) | |||||||
\(164\) | 1.36416 | + | 0.787598i | 0.106523 | + | 0.0615011i | ||||
\(165\) | −3.20045 | + | 5.36427i | −0.249155 | + | 0.417608i | ||||
\(166\) | 7.85874 | + | 4.53725i | 0.609957 | + | 0.352159i | ||||
\(167\) | −14.1115 | + | 8.14728i | −1.09198 | + | 0.630455i | −0.934103 | − | 0.357003i | \(-0.883798\pi\) |
−0.157878 | + | 0.987459i | \(0.550465\pi\) | |||||||
\(168\) | 4.17976 | + | 1.87872i | 0.322476 | + | 0.144946i | ||||
\(169\) | −6.01478 | + | 11.5249i | −0.462676 | + | 0.886528i | ||||
\(170\) | −3.90849 | + | 2.25657i | −0.299767 | + | 0.173071i | ||||
\(171\) | −6.21837 | + | 10.0910i | −0.475530 | + | 0.771676i | ||||
\(172\) | 5.81348 | 0.443274 | ||||||||
\(173\) | −14.4001 | −1.09482 | −0.547408 | − | 0.836866i | \(-0.684385\pi\) | ||||
−0.547408 | + | 0.836866i | \(0.684385\pi\) | |||||||
\(174\) | −1.35713 | − | 2.43042i | −0.102884 | − | 0.184250i | ||||
\(175\) | −12.2251 | + | 1.41847i | −0.924132 | + | 0.107227i | ||||
\(176\) | 3.05521 | − | 5.29178i | 0.230295 | − | 0.398883i | ||||
\(177\) | 3.97774 | − | 6.66709i | 0.298986 | − | 0.501129i | ||||
\(178\) | 3.56660 | − | 2.05918i | 0.267328 | − | 0.154342i | ||||
\(179\) | 11.4696i | 0.857281i | 0.903475 | + | 0.428641i | \(0.141007\pi\) | ||||
−0.903475 | + | 0.428641i | \(0.858993\pi\) | |||||||
\(180\) | 1.55814 | − | 0.840988i | 0.116137 | − | 0.0626835i | ||||
\(181\) | 14.7039i | 1.09293i | 0.837482 | + | 0.546465i | \(0.184027\pi\) | ||||
−0.837482 | + | 0.546465i | \(0.815973\pi\) | |||||||
\(182\) | −5.85182 | − | 7.53367i | −0.433766 | − | 0.558433i | ||||
\(183\) | 0.0849471 | + | 0.152128i | 0.00627947 | + | 0.0112456i | ||||
\(184\) | 7.26252 | + | 4.19302i | 0.535400 | + | 0.309114i | ||||
\(185\) | 1.31559 | 0.0967239 | ||||||||
\(186\) | −4.13405 | − | 2.46647i | −0.303123 | − | 0.180851i | ||||
\(187\) | −23.3623 | − | 40.4647i | −1.70842 | − | 2.95907i | ||||
\(188\) | −4.94554 | − | 2.85531i | −0.360690 | − | 0.208245i | ||||
\(189\) | −11.3766 | + | 7.71833i | −0.827527 | + | 0.561426i | ||||
\(190\) | − | 2.33192i | − | 0.169175i | ||||||
\(191\) | − | 10.8591i | − | 0.785739i | −0.919594 | − | 0.392870i | \(-0.871482\pi\) | ||
0.919594 | − | 0.392870i | \(-0.128518\pi\) | |||||||
\(192\) | −1.51226 | + | 0.844435i | −0.109138 | + | 0.0609419i | ||||
\(193\) | − | 19.2440i | − | 1.38521i | −0.721315 | − | 0.692607i | \(-0.756462\pi\) | ||
0.721315 | − | 0.692607i | \(-0.243538\pi\) | |||||||
\(194\) | −2.82580 | − | 4.89442i | −0.202880 | − | 0.351399i | ||||
\(195\) | −3.68574 | + | 0.0256505i | −0.263941 | + | 0.00183687i | ||||
\(196\) | 6.81402 | − | 1.60283i | 0.486716 | − | 0.114488i | ||||
\(197\) | −3.97307 | − | 6.88156i | −0.283070 | − | 0.490291i | 0.689070 | − | 0.724695i | \(-0.258019\pi\) |
−0.972139 | + | 0.234404i | \(0.924686\pi\) | |||||||
\(198\) | 8.70679 | + | 16.1315i | 0.618764 | + | 1.14642i | ||||
\(199\) | −16.2970 | + | 9.40910i | −1.15527 | + | 0.666993i | −0.950165 | − | 0.311748i | \(-0.899086\pi\) |
−0.205101 | + | 0.978741i | \(0.565752\pi\) | |||||||
\(200\) | 2.32583 | − | 4.02845i | 0.164461 | − | 0.284855i | ||||
\(201\) | 8.73648 | + | 15.6458i | 0.616224 | + | 1.10357i | ||||
\(202\) | 5.91078 | − | 10.2378i | 0.415881 | − | 0.720327i | ||||
\(203\) | −3.90293 | − | 1.68746i | −0.273932 | − | 0.118436i | ||||
\(204\) | −0.189849 | + | 13.2431i | −0.0132921 | + | 0.927206i | ||||
\(205\) | 0.464844 | − | 0.805133i | 0.0324661 | − | 0.0562330i | ||||
\(206\) | 4.34870i | 0.302988i | ||||||||
\(207\) | −22.1392 | + | 11.9493i | −1.53878 | + | 0.830537i | ||||
\(208\) | 3.60473 | − | 0.0767706i | 0.249943 | − | 0.00532309i | ||||
\(209\) | 24.1425 | 1.66997 | ||||||||
\(210\) | 1.10883 | − | 2.46692i | 0.0765163 | − | 0.170233i | ||||
\(211\) | 1.28361 | + | 2.22329i | 0.0883677 | + | 0.153057i | 0.906821 | − | 0.421515i | \(-0.138502\pi\) |
−0.818454 | + | 0.574573i | \(0.805168\pi\) | |||||||
\(212\) | − | 3.81548i | − | 0.262049i | ||||||
\(213\) | −0.0434974 | + | 3.03421i | −0.00298039 | + | 0.207901i | ||||
\(214\) | 7.65622 | − | 4.42032i | 0.523368 | − | 0.302167i | ||||
\(215\) | − | 3.43114i | − | 0.234002i | ||||||
\(216\) | 0.223387 | − | 5.19135i | 0.0151995 | − | 0.353227i | ||||
\(217\) | −7.30439 | + | 0.847524i | −0.495854 | + | 0.0575337i | ||||
\(218\) | −14.8949 | + | 8.59957i | −1.00881 | + | 0.582437i | ||||
\(219\) | −0.268674 | + | 18.7417i | −0.0181553 | + | 1.26644i | ||||
\(220\) | −3.12323 | − | 1.80320i | −0.210568 | − | 0.121572i | ||||
\(221\) | 13.2738 | − | 24.1650i | 0.892893 | − | 1.62551i | ||||
\(222\) | 1.97813 | − | 3.31554i | 0.132763 | − | 0.222524i | ||||
\(223\) | −1.78923 | − | 3.09905i | −0.119816 | − | 0.207527i | 0.799879 | − | 0.600162i | \(-0.204897\pi\) |
−0.919695 | + | 0.392634i | \(0.871564\pi\) | |||||||
\(224\) | −1.04997 | + | 2.42849i | −0.0701544 | + | 0.162260i | ||||
\(225\) | 6.62819 | + | 12.2804i | 0.441879 | + | 0.818694i | ||||
\(226\) | −13.5393 | + | 7.81690i | −0.900619 | + | 0.519973i | ||||
\(227\) | −10.3697 | + | 5.98695i | −0.688261 | + | 0.397368i | −0.802960 | − | 0.596033i | \(-0.796743\pi\) |
0.114699 | + | 0.993400i | \(0.463410\pi\) | |||||||
\(228\) | −5.87689 | − | 3.50630i | −0.389207 | − | 0.232210i | ||||
\(229\) | −5.57509 | − | 9.65634i | −0.368412 | − | 0.638109i | 0.620905 | − | 0.783886i | \(-0.286765\pi\) |
−0.989318 | + | 0.145777i | \(0.953432\pi\) | |||||||
\(230\) | 2.47474 | − | 4.28638i | 0.163180 | − | 0.282635i | ||||
\(231\) | 25.5401 | + | 11.4797i | 1.68042 | + | 0.755311i | ||||
\(232\) | 1.39183 | − | 0.803572i | 0.0913779 | − | 0.0527571i | ||||
\(233\) | −13.8355 | + | 7.98795i | −0.906396 | + | 0.523308i | −0.879270 | − | 0.476324i | \(-0.841969\pi\) |
−0.0271263 | + | 0.999632i | \(0.508636\pi\) | |||||||
\(234\) | −5.47727 | + | 9.32735i | −0.358060 | + | 0.609748i | ||||
\(235\) | −1.68522 | + | 2.91888i | −0.109931 | + | 0.190407i | ||||
\(236\) | 3.88177 | + | 2.24114i | 0.252682 | + | 0.145886i | ||||
\(237\) | 9.45267 | + | 5.63969i | 0.614017 | + | 0.366337i | ||||
\(238\) | 12.0676 | + | 16.2382i | 0.782229 | + | 1.05257i | ||||
\(239\) | 17.6869 | 1.14407 | 0.572034 | − | 0.820230i | \(-0.306154\pi\) | ||||
0.572034 | + | 0.820230i | \(0.306154\pi\) | |||||||
\(240\) | 0.498390 | + | 0.892543i | 0.0321709 | + | 0.0576134i | ||||
\(241\) | 12.0836 | + | 20.9293i | 0.778370 | + | 1.34818i | 0.932881 | + | 0.360186i | \(0.117287\pi\) |
−0.154510 | + | 0.987991i | \(0.549380\pi\) | |||||||
\(242\) | 13.1686 | − | 22.8087i | 0.846510 | − | 1.46620i | ||||
\(243\) | 12.9072 | + | 8.74098i | 0.827996 | + | 0.560734i | ||||
\(244\) | −0.0871190 | + | 0.0502982i | −0.00557722 | + | 0.00322001i | ||||
\(245\) | −0.946000 | − | 4.02167i | −0.0604377 | − | 0.256935i | ||||
\(246\) | −1.33015 | − | 2.38210i | −0.0848073 | − | 0.151877i | ||||
\(247\) | 7.38390 | + | 12.1826i | 0.469826 | + | 0.775163i | ||||
\(248\) | 1.38966 | − | 2.40696i | 0.0882435 | − | 0.152842i | ||||
\(249\) | −7.66282 | − | 13.7230i | −0.485612 | − | 0.869659i | ||||
\(250\) | −4.93327 | − | 2.84823i | −0.312008 | − | 0.180138i | ||||
\(251\) | −1.60381 | + | 2.77787i | −0.101231 | + | 0.175338i | −0.912192 | − | 0.409763i | \(-0.865612\pi\) |
0.810961 | + | 0.585100i | \(0.198945\pi\) | |||||||
\(252\) | −4.54987 | − | 6.50374i | −0.286615 | − | 0.409697i | ||||
\(253\) | 44.3770 | + | 25.6211i | 2.78996 | + | 1.61078i | ||||
\(254\) | 5.98128 | 0.375299 | ||||||||
\(255\) | 7.81617 | + | 0.112050i | 0.489467 | + | 0.00701684i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 0.591663 | − | 1.02479i | 0.0369069 | − | 0.0639246i | −0.846982 | − | 0.531622i | \(-0.821583\pi\) |
0.883889 | + | 0.467697i | \(0.154916\pi\) | |||||||
\(258\) | −8.64716 | − | 5.15910i | −0.538349 | − | 0.321192i | ||||
\(259\) | −0.679720 | − | 5.85817i | −0.0422358 | − | 0.364009i | ||||
\(260\) | −0.0453104 | − | 2.12753i | −0.00281003 | − | 0.131944i | ||||
\(261\) | −0.138208 | + | 4.81945i | −0.00855489 | + | 0.298316i | ||||
\(262\) | 5.59712 | 0.345791 | ||||||||
\(263\) | 1.34212i | 0.0827589i | 0.999144 | + | 0.0413794i | \(0.0131752\pi\) | ||||
−0.999144 | + | 0.0413794i | \(0.986825\pi\) | |||||||
\(264\) | −9.24054 | + | 5.15985i | −0.568716 | + | 0.317567i | ||||
\(265\) | −2.25192 | −0.138334 | ||||||||
\(266\) | −10.3838 | + | 1.20482i | −0.636671 | + | 0.0738726i | ||||
\(267\) | −7.13246 | − | 0.102249i | −0.436500 | − | 0.00625751i | ||||
\(268\) | −8.95985 | + | 5.17297i | −0.547310 | + | 0.315990i | ||||
\(269\) | −3.23296 | − | 5.59965i | −0.197117 | − | 0.341417i | 0.750476 | − | 0.660898i | \(-0.229825\pi\) |
−0.947592 | + | 0.319482i | \(0.896491\pi\) | |||||||
\(270\) | −3.06396 | − | 0.131844i | −0.186467 | − | 0.00802376i | ||||
\(271\) | −9.61794 | + | 16.6588i | −0.584249 | + | 1.01195i | 0.410720 | + | 0.911761i | \(0.365277\pi\) |
−0.994969 | + | 0.100187i | \(0.968056\pi\) | |||||||
\(272\) | −7.64672 | −0.463651 | ||||||||
\(273\) | 2.01852 | + | 16.3990i | 0.122166 | + | 0.992510i | ||||
\(274\) | 21.1472 | 1.27755 | ||||||||
\(275\) | 14.2118 | − | 24.6155i | 0.857003 | − | 1.48437i | ||||
\(276\) | −7.08147 | − | 12.6819i | −0.426254 | − | 0.763359i | ||||
\(277\) | 5.88112 | + | 10.1864i | 0.353362 | + | 0.612042i | 0.986836 | − | 0.161722i | \(-0.0517049\pi\) |
−0.633474 | + | 0.773764i | \(0.718372\pi\) | |||||||
\(278\) | 9.34314 | − | 5.39426i | 0.560364 | − | 0.323526i | ||||
\(279\) | 3.96028 | + | 7.33742i | 0.237096 | + | 0.439280i | ||||
\(280\) | 1.43330 | + | 0.619700i | 0.0856564 | + | 0.0370342i | ||||
\(281\) | −21.9950 | −1.31211 | −0.656057 | − | 0.754711i | \(-0.727777\pi\) | ||||
−0.656057 | + | 0.754711i | \(0.727777\pi\) | |||||||
\(282\) | 4.82224 | + | 8.63593i | 0.287160 | + | 0.514262i | ||||
\(283\) | − | 12.8485i | − | 0.763761i | −0.924212 | − | 0.381881i | \(-0.875277\pi\) | ||
0.924212 | − | 0.381881i | \(-0.124723\pi\) | |||||||
\(284\) | −1.75198 | −0.103961 | ||||||||
\(285\) | −2.06943 | + | 3.46857i | −0.122583 | + | 0.205460i | ||||
\(286\) | 22.0264 | − | 0.469101i | 1.30245 | − | 0.0277385i | ||||
\(287\) | −3.82534 | − | 1.65392i | −0.225803 | − | 0.0976275i | ||||
\(288\) | 2.99877 | + | 0.0859963i | 0.176704 | + | 0.00506738i | ||||
\(289\) | −20.7362 | + | 35.9161i | −1.21977 | + | 2.11271i | ||||
\(290\) | −0.474272 | − | 0.821463i | −0.0278502 | − | 0.0482380i | ||||
\(291\) | −0.140315 | + | 9.78784i | −0.00822542 | + | 0.573773i | ||||
\(292\) | −10.8216 | −0.633287 | ||||||||
\(293\) | −0.344829 | − | 0.199087i | −0.0201451 | − | 0.0116308i | 0.489894 | − | 0.871782i | \(-0.337036\pi\) |
−0.510039 | + | 0.860151i | \(0.670369\pi\) | |||||||
\(294\) | −11.5578 | − | 3.66292i | −0.674065 | − | 0.213626i | ||||
\(295\) | 1.32273 | − | 2.29104i | 0.0770124 | − | 0.133389i | ||||
\(296\) | 1.93040 | + | 1.11452i | 0.112202 | + | 0.0647800i | ||||
\(297\) | 1.36499 | − | 31.7213i | 0.0792045 | − | 1.84066i | ||||
\(298\) | 4.01109 | − | 6.94741i | 0.232356 | − | 0.402453i | ||||
\(299\) | 0.643802 | + | 30.2294i | 0.0372320 | + | 1.74821i | ||||
\(300\) | −7.03452 | + | 3.92802i | −0.406138 | + | 0.226785i | ||||
\(301\) | −15.2785 | + | 1.77276i | −0.880640 | + | 0.102180i | ||||
\(302\) | 7.60834 | − | 4.39268i | 0.437811 | − | 0.252770i | ||||
\(303\) | −17.8773 | + | 9.98254i | −1.02702 | + | 0.573482i | ||||
\(304\) | 1.97552 | − | 3.42169i | 0.113304 | − | 0.196248i | ||||
\(305\) | 0.0296862 | + | 0.0514180i | 0.00169983 | + | 0.00294419i | ||||
\(306\) | 12.0349 | − | 19.5298i | 0.687987 | − | 1.11644i | ||||
\(307\) | −10.2738 | −0.586356 | −0.293178 | − | 0.956058i | \(-0.594713\pi\) | ||||
−0.293178 | + | 0.956058i | \(0.594713\pi\) | |||||||
\(308\) | −6.41578 | + | 14.8391i | −0.365573 | + | 0.845535i | ||||
\(309\) | 3.85920 | − | 6.46839i | 0.219542 | − | 0.367974i | ||||
\(310\) | −1.42060 | − | 0.820184i | −0.0806847 | − | 0.0465833i | ||||
\(311\) | −1.05163 | + | 1.82148i | −0.0596325 | + | 0.103287i | −0.894300 | − | 0.447467i | \(-0.852326\pi\) |
0.834668 | + | 0.550754i | \(0.185660\pi\) | |||||||
\(312\) | −5.42993 | − | 3.08479i | −0.307409 | − | 0.174642i | ||||
\(313\) | −9.44084 | + | 5.45067i | −0.533628 | + | 0.308090i | −0.742492 | − | 0.669854i | \(-0.766356\pi\) |
0.208865 | + | 0.977945i | \(0.433023\pi\) | |||||||
\(314\) | 2.49489 | − | 1.44042i | 0.140795 | − | 0.0812878i | ||||
\(315\) | −3.83854 | + | 2.68536i | −0.216277 | + | 0.151303i | ||||
\(316\) | −3.17751 | + | 5.50361i | −0.178749 | + | 0.309602i | ||||
\(317\) | −5.27267 | − | 9.13253i | −0.296143 | − | 0.512934i | 0.679107 | − | 0.734039i | \(-0.262367\pi\) |
−0.975250 | + | 0.221105i | \(0.929034\pi\) | |||||||
\(318\) | −3.38600 | + | 5.67527i | −0.189878 | + | 0.318254i | ||||
\(319\) | 8.50465 | − | 4.91016i | 0.476169 | − | 0.274916i | ||||
\(320\) | −0.511132 | + | 0.295102i | −0.0285732 | + | 0.0164967i | ||||
\(321\) | −15.3109 | − | 0.219491i | −0.854569 | − | 0.0122508i | ||||
\(322\) | −20.3654 | − | 8.80513i | −1.13492 | − | 0.490691i | ||||
\(323\) | −15.1062 | − | 26.1647i | −0.840533 | − | 1.45585i | ||||
\(324\) | −4.93927 | + | 7.52354i | −0.274404 | + | 0.417974i | ||||
\(325\) | 16.7680 | − | 0.357111i | 0.930121 | − | 0.0198089i | ||||
\(326\) | −4.65862 | − | 2.68966i | −0.258017 | − | 0.148966i | ||||
\(327\) | 29.7867 | + | 0.427013i | 1.64721 | + | 0.0236138i | ||||
\(328\) | 1.36416 | − | 0.787598i | 0.0753231 | − | 0.0434878i | ||||
\(329\) | 13.8682 | + | 5.99600i | 0.764576 | + | 0.330570i | ||||
\(330\) | 3.04537 | + | 5.45381i | 0.167642 | + | 0.300222i | ||||
\(331\) | − | 14.5681i | − | 0.800733i | −0.916355 | − | 0.400366i | \(-0.868883\pi\) | ||
0.916355 | − | 0.400366i | \(-0.131117\pi\) | |||||||
\(332\) | 7.85874 | − | 4.53725i | 0.431304 | − | 0.249014i | ||||
\(333\) | −5.88467 | + | 3.17617i | −0.322478 | + | 0.174053i | ||||
\(334\) | 16.2946i | 0.891599i | ||||||||
\(335\) | 3.05311 | + | 5.28815i | 0.166809 | + | 0.288922i | ||||
\(336\) | 3.71690 | − | 2.68042i | 0.202773 | − | 0.146229i | ||||
\(337\) | −31.0830 | −1.69320 | −0.846599 | − | 0.532231i | \(-0.821354\pi\) | ||||
−0.846599 | + | 0.532231i | \(0.821354\pi\) | |||||||
\(338\) | 6.97343 | + | 10.9714i | 0.379305 | + | 0.596765i | ||||
\(339\) | 27.0758 | + | 0.388149i | 1.47055 | + | 0.0210814i | ||||
\(340\) | 4.51313i | 0.244759i | ||||||||
\(341\) | 8.49140 | − | 14.7075i | 0.459835 | − | 0.796458i | ||||
\(342\) | 5.62986 | + | 10.4308i | 0.304428 | + | 0.564030i | ||||
\(343\) | −17.4193 | + | 6.29030i | −0.940554 | + | 0.339644i | ||||
\(344\) | 2.90674 | − | 5.03462i | 0.156721 | − | 0.271449i | ||||
\(345\) | −7.48490 | + | 4.17951i | −0.402973 | + | 0.225018i | ||||
\(346\) | −7.20003 | + | 12.4708i | −0.387076 | + | 0.670435i | ||||
\(347\) | 21.3630 | − | 12.3339i | 1.14682 | − | 0.662119i | 0.198713 | − | 0.980058i | \(-0.436324\pi\) |
0.948111 | + | 0.317938i | \(0.102991\pi\) | |||||||
\(348\) | −2.78337 | − | 0.0399014i | −0.149204 | − | 0.00213894i | ||||
\(349\) | 16.5800 | + | 28.7175i | 0.887509 | + | 1.53721i | 0.842811 | + | 0.538210i | \(0.180899\pi\) |
0.0446981 | + | 0.999001i | \(0.485767\pi\) | |||||||
\(350\) | −4.88412 | + | 11.2965i | −0.261067 | + | 0.603823i | ||||
\(351\) | 16.4245 | − | 9.01307i | 0.876676 | − | 0.481082i | ||||
\(352\) | −3.05521 | − | 5.29178i | −0.162843 | − | 0.282053i | ||||
\(353\) | − | 14.4690i | − | 0.770108i | −0.922894 | − | 0.385054i | \(-0.874183\pi\) | ||
0.922894 | − | 0.385054i | \(-0.125817\pi\) | |||||||
\(354\) | −3.78499 | − | 6.77837i | −0.201170 | − | 0.360266i | ||||
\(355\) | 1.03403i | 0.0548805i | ||||||||
\(356\) | − | 4.11835i | − | 0.218272i | ||||||
\(357\) | −3.53941 | − | 34.8625i | −0.187325 | − | 1.84512i | ||||
\(358\) | 9.93300 | + | 5.73482i | 0.524975 | + | 0.303095i | ||||
\(359\) | −7.00098 | − | 12.1261i | −0.369498 | − | 0.639989i | 0.619989 | − | 0.784610i | \(-0.287137\pi\) |
−0.989487 | + | 0.144621i | \(0.953804\pi\) | |||||||
\(360\) | 0.0507554 | − | 1.76989i | 0.00267505 | − | 0.0932812i | ||||
\(361\) | −3.38934 | −0.178386 | ||||||||
\(362\) | 12.7339 | + | 7.35194i | 0.669281 | + | 0.386409i | ||||
\(363\) | −39.8287 | + | 22.2401i | −2.09046 | + | 1.16730i | ||||
\(364\) | −9.45026 | + | 1.30099i | −0.495328 | + | 0.0681903i | ||||
\(365\) | 6.38697i | 0.334309i | ||||||||
\(366\) | 0.174220 | + | 0.00249756i | 0.00910663 | + | 0.000130550i | ||||
\(367\) | − | 14.7332i | − | 0.769065i | −0.923111 | − | 0.384533i | \(-0.874363\pi\) | ||
0.923111 | − | 0.384533i | \(-0.125637\pi\) | |||||||
\(368\) | 7.26252 | − | 4.19302i | 0.378585 | − | 0.218576i | ||||
\(369\) | −0.135461 | + | 4.72364i | −0.00705182 | + | 0.245903i | ||||
\(370\) | 0.657794 | − | 1.13933i | 0.0341971 | − | 0.0592310i | ||||
\(371\) | 1.16349 | + | 10.0275i | 0.0604054 | + | 0.520604i | ||||
\(372\) | −4.20305 | + | 2.34696i | −0.217918 | + | 0.121684i | ||||
\(373\) | 15.8300 | 0.819645 | 0.409822 | − | 0.912165i | \(-0.365591\pi\) | ||||
0.409822 | + | 0.912165i | \(0.365591\pi\) | |||||||
\(374\) | −46.7247 | −2.41607 | ||||||||
\(375\) | 4.81029 | + | 8.61452i | 0.248402 | + | 0.444852i | ||||
\(376\) | −4.94554 | + | 2.85531i | −0.255047 | + | 0.147251i | ||||
\(377\) | 5.07886 | + | 2.78981i | 0.261575 | + | 0.143683i | ||||
\(378\) | 0.995959 | + | 13.7116i | 0.0512266 | + | 0.705249i | ||||
\(379\) | −11.2444 | + | 6.49193i | −0.577584 | + | 0.333468i | −0.760173 | − | 0.649721i | \(-0.774886\pi\) |
0.182589 | + | 0.983189i | \(0.441552\pi\) | |||||||
\(380\) | −2.01950 | − | 1.16596i | −0.103598 | − | 0.0598124i | ||||
\(381\) | −8.89675 | − | 5.30802i | −0.455794 | − | 0.271938i | ||||
\(382\) | −9.40428 | − | 5.42957i | −0.481165 | − | 0.277801i | ||||
\(383\) | 4.18573i | 0.213881i | 0.994265 | + | 0.106940i | \(0.0341054\pi\) | ||||
−0.994265 | + | 0.106940i | \(0.965895\pi\) | |||||||
\(384\) | −0.0248275 | + | 1.73187i | −0.00126698 | + | 0.0883793i | ||||
\(385\) | 8.75809 | + | 3.78663i | 0.446354 | + | 0.192984i | ||||
\(386\) | −16.6658 | − | 9.62200i | −0.848267 | − | 0.489747i | ||||
\(387\) | 8.28368 | + | 15.3476i | 0.421083 | + | 0.780164i | ||||
\(388\) | −5.65159 | −0.286916 | ||||||||
\(389\) | 19.0201 | + | 10.9812i | 0.964356 | + | 0.556771i | 0.897511 | − | 0.440992i | \(-0.145373\pi\) |
0.0668451 | + | 0.997763i | \(0.478707\pi\) | |||||||
\(390\) | −1.82066 | + | 3.20477i | −0.0921925 | + | 0.162280i | ||||
\(391\) | − | 64.1257i | − | 3.24298i | ||||||
\(392\) | 2.01892 | − | 6.70253i | 0.101971 | − | 0.338529i | ||||
\(393\) | −8.32533 | − | 4.96709i | −0.419957 | − | 0.250557i | ||||
\(394\) | −7.94614 | −0.400321 | ||||||||
\(395\) | 3.24826 | + | 1.87538i | 0.163438 | + | 0.0943608i | ||||
\(396\) | 18.3237 | + | 0.525473i | 0.920802 | + | 0.0264060i | ||||
\(397\) | −33.1213 | −1.66231 | −0.831156 | − | 0.556039i | \(-0.812320\pi\) | ||||
−0.831156 | + | 0.556039i | \(0.812320\pi\) | |||||||
\(398\) | 18.8182i | 0.943271i | ||||||||
\(399\) | 16.5144 | + | 7.42287i | 0.826753 | + | 0.371608i | ||||
\(400\) | −2.32583 | − | 4.02845i | −0.116291 | − | 0.201423i | ||||
\(401\) | 3.47187 | − | 6.01346i | 0.173377 | − | 0.300298i | −0.766221 | − | 0.642577i | \(-0.777865\pi\) |
0.939598 | + | 0.342279i | \(0.111199\pi\) | |||||||
\(402\) | 17.9179 | + | 0.256864i | 0.893662 | + | 0.0128112i | ||||
\(403\) | 10.0187 | − | 0.213370i | 0.499067 | − | 0.0106287i | ||||
\(404\) | −5.91078 | − | 10.2378i | −0.294072 | − | 0.509348i | ||||
\(405\) | 4.44043 | + | 2.91518i | 0.220647 | + | 0.144857i | ||||
\(406\) | −3.41285 | + | 2.53631i | −0.169377 | + | 0.125875i | ||||
\(407\) | 11.7956 | + | 6.81017i | 0.584684 | + | 0.337568i | ||||
\(408\) | 11.3740 | + | 6.78599i | 0.563096 | + | 0.335957i | ||||
\(409\) | −0.151773 | − | 0.262878i | −0.00750467 | − | 0.0129985i | 0.862249 | − | 0.506485i | \(-0.169056\pi\) |
−0.869753 | + | 0.493487i | \(0.835722\pi\) | |||||||
\(410\) | −0.464844 | − | 0.805133i | −0.0229570 | − | 0.0397627i | ||||
\(411\) | −31.4550 | − | 18.7668i | −1.55156 | − | 0.925699i | ||||
\(412\) | 3.76608 | + | 2.17435i | 0.185542 | + | 0.107123i | ||||
\(413\) | −10.8852 | − | 4.70628i | −0.535624 | − | 0.231581i | ||||
\(414\) | −0.721168 | + | 25.1478i | −0.0354435 | + | 1.23595i | ||||
\(415\) | −2.67790 | − | 4.63827i | −0.131453 | − | 0.227684i | ||||
\(416\) | 1.73588 | − | 3.16018i | 0.0851086 | − | 0.154940i | ||||
\(417\) | −18.6844 | − | 0.267853i | −0.914977 | − | 0.0131168i | ||||
\(418\) | 12.0712 | − | 20.9080i | 0.590423 | − | 1.02264i | ||||
\(419\) | −2.85725 | − | 4.94891i | −0.139586 | − | 0.241770i | 0.787754 | − | 0.615990i | \(-0.211244\pi\) |
−0.927340 | + | 0.374220i | \(0.877911\pi\) | |||||||
\(420\) | −1.58200 | − | 2.19373i | −0.0771936 | − | 0.107043i | ||||
\(421\) | − | 9.25537i | − | 0.451079i | −0.974234 | − | 0.225540i | \(-0.927585\pi\) | ||
0.974234 | − | 0.225540i | \(-0.0724145\pi\) | |||||||
\(422\) | 2.56723 | 0.124971 | ||||||||
\(423\) | 0.491092 | − | 17.1248i | 0.0238777 | − | 0.832637i | ||||
\(424\) | −3.30431 | − | 1.90774i | −0.160471 | − | 0.0926481i | ||||
\(425\) | −35.5699 | −1.72540 | ||||||||
\(426\) | 2.60595 | + | 1.55477i | 0.126259 | + | 0.0753291i | ||||
\(427\) | 0.213621 | − | 0.158756i | 0.0103379 | − | 0.00768272i | ||||
\(428\) | − | 8.84064i | − | 0.427328i | ||||||
\(429\) | −33.1791 | − | 18.8493i | −1.60190 | − | 0.910054i | ||||
\(430\) | −2.97146 | − | 1.71557i | −0.143296 | − | 0.0827322i | ||||
\(431\) | 10.1057 | 0.486773 | 0.243386 | − | 0.969929i | \(-0.421742\pi\) | ||||
0.243386 | + | 0.969929i | \(0.421742\pi\) | |||||||
\(432\) | −4.38415 | − | 2.78913i | −0.210932 | − | 0.134192i | ||||
\(433\) | −32.8655 | − | 18.9749i | −1.57942 | − | 0.911877i | −0.994941 | − | 0.100466i | \(-0.967967\pi\) |
−0.584476 | − | 0.811411i | \(-0.698700\pi\) | |||||||
\(434\) | −2.91822 | + | 6.74955i | −0.140079 | + | 0.323989i | ||||
\(435\) | −0.0235500 | + | 1.64276i | −0.00112914 | + | 0.0787642i | ||||
\(436\) | 17.1991i | 0.823690i | ||||||||
\(437\) | 28.6945 | + | 16.5668i | 1.37264 | + | 0.792495i | ||||
\(438\) | 16.0964 | + | 9.60351i | 0.769116 | + | 0.458873i | ||||
\(439\) | 24.6369 | + | 14.2241i | 1.17586 | + | 0.678881i | 0.955052 | − | 0.296437i | \(-0.0957984\pi\) |
0.220805 | + | 0.975318i | \(0.429132\pi\) | |||||||
\(440\) | −3.12323 | + | 1.80320i | −0.148894 | + | 0.0859641i | ||||
\(441\) | 13.9409 | + | 15.7052i | 0.663850 | + | 0.747866i | ||||
\(442\) | −14.2906 | − | 23.5779i | −0.679734 | − | 1.12149i | ||||
\(443\) | −18.7651 | + | 10.8340i | −0.891555 | + | 0.514740i | −0.874451 | − | 0.485114i | \(-0.838778\pi\) |
−0.0171043 | + | 0.999854i | \(0.505445\pi\) | |||||||
\(444\) | −1.88228 | − | 3.37088i | −0.0893289 | − | 0.159975i | ||||
\(445\) | −2.43067 | −0.115225 | ||||||||
\(446\) | −3.57847 | −0.169445 | ||||||||
\(447\) | −12.1316 | + | 6.77421i | −0.573806 | + | 0.320409i | ||||
\(448\) | 1.57814 | + | 2.12355i | 0.0745603 | + | 0.100328i | ||||
\(449\) | −6.23704 | + | 10.8029i | −0.294344 | + | 0.509819i | −0.974832 | − | 0.222940i | \(-0.928434\pi\) |
0.680488 | + | 0.732759i | \(0.261768\pi\) | |||||||
\(450\) | 13.9492 | + | 0.400025i | 0.657574 | + | 0.0188574i | ||||
\(451\) | 8.33558 | − | 4.81255i | 0.392507 | − | 0.226614i | ||||
\(452\) | 15.6338i | 0.735353i | ||||||||
\(453\) | −15.2151 | − | 0.218119i | −0.714869 | − | 0.0102481i | ||||
\(454\) | 11.9739i | 0.561963i | ||||||||
\(455\) | 0.767849 | + | 5.57759i | 0.0359973 | + | 0.261481i | ||||
\(456\) | −5.97499 | + | 3.33639i | −0.279804 | + | 0.156241i | ||||
\(457\) | 8.30703 | + | 4.79607i | 0.388587 | + | 0.224351i | 0.681548 | − | 0.731774i | \(-0.261307\pi\) |
−0.292961 | + | 0.956124i | \(0.594641\pi\) | |||||||
\(458\) | −11.1502 | −0.521014 | ||||||||
\(459\) | −35.2325 | + | 18.3691i | −1.64451 | + | 0.857395i | ||||
\(460\) | −2.47474 | − | 4.28638i | −0.115385 | − | 0.199853i | ||||
\(461\) | 4.17780 | + | 2.41206i | 0.194580 | + | 0.112341i | 0.594125 | − | 0.804373i | \(-0.297499\pi\) |
−0.399545 | + | 0.916714i | \(0.630832\pi\) | |||||||
\(462\) | 22.7118 | − | 16.3785i | 1.05665 | − | 0.761997i | ||||
\(463\) | − | 3.08747i | − | 0.143487i | −0.997423 | − | 0.0717434i | \(-0.977144\pi\) | ||
0.997423 | − | 0.0717434i | \(-0.0228563\pi\) | |||||||
\(464\) | − | 1.60714i | − | 0.0746098i | ||||||
\(465\) | 1.38518 | + | 2.48066i | 0.0642364 | + | 0.115038i | ||||
\(466\) | 15.9759i | 0.740069i | ||||||||
\(467\) | −4.16237 | − | 7.20943i | −0.192611 | − | 0.333613i | 0.753504 | − | 0.657444i | \(-0.228362\pi\) |
−0.946115 | + | 0.323831i | \(0.895029\pi\) | |||||||
\(468\) | 5.33909 | + | 9.40713i | 0.246800 | + | 0.434845i | ||||
\(469\) | 21.9701 | − | 16.3274i | 1.01449 | − | 0.753929i | ||||
\(470\) | 1.68522 | + | 2.91888i | 0.0777332 | + | 0.134638i | ||||
\(471\) | −4.98926 | − | 0.0715243i | −0.229893 | − | 0.00329567i | ||||
\(472\) | 3.88177 | − | 2.24114i | 0.178673 | − | 0.103157i | ||||
\(473\) | 17.7614 | − | 30.7636i | 0.816670 | − | 1.41451i | ||||
\(474\) | 9.61045 | − | 5.36641i | 0.441422 | − | 0.246487i | ||||
\(475\) | 9.18943 | − | 15.9166i | 0.421640 | − | 0.730302i | ||||
\(476\) | 20.0965 | − | 2.33179i | 0.921121 | − | 0.106877i | ||||
\(477\) | 10.0729 | − | 5.43672i | 0.461207 | − | 0.248930i | ||||
\(478\) | 8.84344 | − | 15.3173i | 0.404489 | − | 0.700596i | ||||
\(479\) | − | 12.0776i | − | 0.551839i | −0.961181 | − | 0.275920i | \(-0.911018\pi\) | ||
0.961181 | − | 0.275920i | \(-0.0889824\pi\) | |||||||
\(480\) | 1.02216 | + | 0.0146533i | 0.0466550 | + | 0.000668830i | ||||
\(481\) | 0.171124 | + | 8.03508i | 0.00780260 | + | 0.366368i | ||||
\(482\) | 24.1671 | 1.10078 | ||||||||
\(483\) | 22.4781 | + | 31.1700i | 1.02279 | + | 1.41829i | ||||
\(484\) | −13.1686 | − | 22.8087i | −0.598573 | − | 1.03676i | ||||
\(485\) | 3.33560i | 0.151462i | ||||||||
\(486\) | 14.0235 | − | 6.80745i | 0.636119 | − | 0.308792i | ||||
\(487\) | 4.84833 | − | 2.79918i | 0.219699 | − | 0.126843i | −0.386112 | − | 0.922452i | \(-0.626182\pi\) |
0.605811 | + | 0.795609i | \(0.292849\pi\) | |||||||
\(488\) | 0.100596i | 0.00455378i | ||||||||
\(489\) | 4.54248 | + | 8.13492i | 0.205418 | + | 0.367874i | ||||
\(490\) | −3.95587 | − | 1.19157i | −0.178708 | − | 0.0538299i | ||||
\(491\) | −0.451495 | + | 0.260671i | −0.0203757 | + | 0.0117639i | −0.510153 | − | 0.860084i | \(-0.670411\pi\) |
0.489778 | + | 0.871847i | \(0.337078\pi\) | |||||||
\(492\) | −2.72804 | − | 0.0391082i | −0.122989 | − | 0.00176314i | ||||
\(493\) | −10.6429 | − | 6.14469i | −0.479333 | − | 0.276743i | ||||
\(494\) | 14.2424 | − | 0.303323i | 0.640797 | − | 0.0136472i | ||||
\(495\) | 0.310137 | − | 10.8147i | 0.0139396 | − | 0.486087i | ||||
\(496\) | −1.38966 | − | 2.40696i | −0.0623976 | − | 0.108076i | ||||
\(497\) | 4.60442 | − | 0.534248i | 0.206536 | − | 0.0239643i | ||||
\(498\) | −15.7159 | − | 0.225297i | −0.704245 | − | 0.0100958i | ||||
\(499\) | 28.9603 | − | 16.7202i | 1.29644 | − | 0.748501i | 0.316654 | − | 0.948541i | \(-0.397441\pi\) |
0.979788 | + | 0.200041i | \(0.0641074\pi\) | |||||||
\(500\) | −4.93327 | + | 2.84823i | −0.220623 | + | 0.127377i | ||||
\(501\) | 14.4604 | − | 24.2370i | 0.646043 | − | 1.08283i | ||||
\(502\) | 1.60381 | + | 2.77787i | 0.0715814 | + | 0.123983i | ||||
\(503\) | 9.16509 | − | 15.8744i | 0.408651 | − | 0.707805i | −0.586088 | − | 0.810248i | \(-0.699333\pi\) |
0.994739 | + | 0.102443i | \(0.0326659\pi\) | |||||||
\(504\) | −7.90734 | + | 0.688433i | −0.352221 | + | 0.0306653i | ||||
\(505\) | −6.04238 | + | 3.48857i | −0.268882 | + | 0.155239i | ||||
\(506\) | 44.3770 | − | 25.6211i | 1.97280 | − | 1.13900i | ||||
\(507\) | −0.636084 | − | 22.5077i | −0.0282495 | − | 0.999601i | ||||
\(508\) | 2.99064 | − | 5.17994i | 0.132688 | − | 0.229823i | ||||
\(509\) | −30.2332 | − | 17.4552i | −1.34006 | − | 0.773686i | −0.353248 | − | 0.935530i | \(-0.614923\pi\) |
−0.986816 | + | 0.161843i | \(0.948256\pi\) | |||||||
\(510\) | 4.00512 | − | 6.71298i | 0.177350 | − | 0.297256i | ||||
\(511\) | 28.4405 | − | 3.29993i | 1.25813 | − | 0.145980i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0.882608 | − | 20.5112i | 0.0389681 | − | 0.905591i | ||||
\(514\) | −0.591663 | − | 1.02479i | −0.0260971 | − | 0.0452015i | ||||
\(515\) | 1.28331 | − | 2.22276i | 0.0565495 | − | 0.0979465i | ||||
\(516\) | −8.79149 | + | 4.90911i | −0.387024 | + | 0.216111i | ||||
\(517\) | −30.2193 | + | 17.4471i | −1.32904 | + | 0.767324i | ||||
\(518\) | −5.41319 | − | 2.34043i | −0.237842 | − | 0.102833i | ||||
\(519\) | 21.7766 | − | 12.1599i | 0.955888 | − | 0.533761i | ||||
\(520\) | −1.86515 | − | 1.02453i | −0.0817923 | − | 0.0449284i | ||||
\(521\) | −15.3561 | + | 26.5976i | −0.672763 | + | 1.16526i | 0.304354 | + | 0.952559i | \(0.401559\pi\) |
−0.977117 | + | 0.212701i | \(0.931774\pi\) | |||||||
\(522\) | 4.10466 | + | 2.52942i | 0.179656 | + | 0.110710i | ||||
\(523\) | 27.1317 | + | 15.6645i | 1.18639 | + | 0.684960i | 0.957483 | − | 0.288490i | \(-0.0931531\pi\) |
0.228902 | + | 0.973449i | \(0.426486\pi\) | |||||||
\(524\) | 2.79856 | − | 4.84725i | 0.122256 | − | 0.211753i | ||||
\(525\) | 17.2897 | − | 12.4684i | 0.754586 | − | 0.544166i | ||||
\(526\) | 1.16231 | + | 0.671062i | 0.0506793 | + | 0.0292597i | ||||
\(527\) | −21.2527 | −0.925782 | ||||||||
\(528\) | −0.151707 | + | 10.5825i | −0.00660219 | + | 0.460543i | ||||
\(529\) | 23.6628 | + | 40.9852i | 1.02882 | + | 1.78197i | ||||
\(530\) | −1.12596 | + | 1.95022i | −0.0489085 | + | 0.0847120i | ||||
\(531\) | −0.385459 | + | 13.4413i | −0.0167275 | + | 0.583303i | ||||
\(532\) | −4.14848 | + | 9.59503i | −0.179860 | + | 0.415997i | ||||
\(533\) | 4.97790 | + | 2.73435i | 0.215617 | + | 0.118438i | ||||
\(534\) | −3.65478 | + | 6.12577i | −0.158158 | + | 0.265088i | ||||
\(535\) | −5.21779 | −0.225585 | ||||||||
\(536\) | 10.3459i | 0.446877i | ||||||||
\(537\) | −9.68537 | − | 17.3451i | −0.417954 | − | 0.748495i | ||||
\(538\) | −6.46592 | −0.278765 | ||||||||
\(539\) | 12.3364 | − | 40.9553i | 0.531368 | − | 1.76407i | ||||
\(540\) | −1.64616 | + | 2.58754i | −0.0708394 | + | 0.111350i | ||||
\(541\) | 18.3221 | − | 10.5782i | 0.787726 | − | 0.454794i | −0.0514351 | − | 0.998676i | \(-0.516380\pi\) |
0.839162 | + | 0.543882i | \(0.183046\pi\) | |||||||
\(542\) | 9.61794 | + | 16.6588i | 0.413126 | + | 0.715555i | ||||
\(543\) | −12.4165 | − | 22.2361i | −0.532842 | − | 0.954241i | ||||
\(544\) | −3.82336 | + | 6.62225i | −0.163925 | + | 0.283927i | ||||
\(545\) | 10.1510 | 0.434822 | ||||||||
\(546\) | 15.2112 | + | 6.45139i | 0.650978 | + | 0.276094i | ||||
\(547\) | −2.57133 | −0.109942 | −0.0549710 | − | 0.998488i | \(-0.517507\pi\) | ||||
−0.0549710 | + | 0.998488i | \(0.517507\pi\) | |||||||
\(548\) | 10.5736 | − | 18.3140i | 0.451682 | − | 0.782336i | ||||
\(549\) | −0.256924 | − | 0.158324i | −0.0109653 | − | 0.00675712i | ||||
\(550\) | −14.2118 | − | 24.6155i | −0.605993 | − | 1.04961i | ||||
\(551\) | 5.49916 | − | 3.17494i | 0.234272 | − | 0.135257i | ||||
\(552\) | −14.5236 | − | 0.208205i | −0.618164 | − | 0.00886178i | ||||
\(553\) | 6.67261 | − | 15.4331i | 0.283748 | − | 0.656282i | ||||
\(554\) | 11.7622 | 0.499730 | ||||||||
\(555\) | −1.98951 | + | 1.11093i | −0.0844500 | + | 0.0471563i | ||||
\(556\) | − | 10.7885i | − | 0.457535i | ||||||
\(557\) | −15.1289 | −0.641031 | −0.320515 | − | 0.947243i | \(-0.603856\pi\) | ||||
−0.320515 | + | 0.947243i | \(0.603856\pi\) | |||||||
\(558\) | 8.33453 | + | 0.239011i | 0.352829 | + | 0.0101182i | ||||
\(559\) | 20.9561 | − | 0.446305i | 0.886347 | − | 0.0188767i | ||||
\(560\) | 1.25333 | − | 0.931429i | 0.0529628 | − | 0.0393600i | ||||
\(561\) | 69.4998 | + | 41.4652i | 2.93428 | + | 1.75066i | ||||
\(562\) | −10.9975 | + | 19.0483i | −0.463902 | + | 0.803503i | ||||
\(563\) | 2.91404 | + | 5.04726i | 0.122812 | + | 0.212717i | 0.920876 | − | 0.389857i | \(-0.127475\pi\) |
−0.798064 | + | 0.602573i | \(0.794142\pi\) | |||||||
\(564\) | 9.89006 | + | 0.141781i | 0.416447 | + | 0.00597004i | ||||
\(565\) | 9.22715 | 0.388189 | ||||||||
\(566\) | −11.1271 | − | 6.42423i | −0.467706 | − | 0.270030i | ||||
\(567\) | 10.6868 | − | 21.2789i | 0.448802 | − | 0.893631i | ||||
\(568\) | −0.875991 | + | 1.51726i | −0.0367558 | + | 0.0636628i | ||||
\(569\) | 20.0259 | + | 11.5620i | 0.839530 | + | 0.484703i | 0.857104 | − | 0.515143i | \(-0.172261\pi\) |
−0.0175747 | + | 0.999846i | \(0.505594\pi\) | |||||||
\(570\) | 1.96915 | + | 3.52647i | 0.0824788 | + | 0.147707i | ||||
\(571\) | −17.1315 | + | 29.6727i | −0.716933 | + | 1.24176i | 0.245277 | + | 0.969453i | \(0.421121\pi\) |
−0.962209 | + | 0.272311i | \(0.912212\pi\) | |||||||
\(572\) | 10.6070 | − | 19.3100i | 0.443499 | − | 0.807392i | ||||
\(573\) | 9.16983 | + | 16.4218i | 0.383075 | + | 0.686032i | ||||
\(574\) | −3.34500 | + | 2.48589i | −0.139618 | + | 0.103759i | ||||
\(575\) | 33.7828 | − | 19.5045i | 1.40884 | − | 0.813394i | ||||
\(576\) | 1.57386 | − | 2.55401i | 0.0655774 | − | 0.106417i | ||||
\(577\) | 7.81628 | − | 13.5382i | 0.325396 | − | 0.563602i | −0.656196 | − | 0.754590i | \(-0.727836\pi\) |
0.981592 | + | 0.190988i | \(0.0611691\pi\) | |||||||
\(578\) | 20.7362 | + | 35.9161i | 0.862511 | + | 1.49391i | ||||
\(579\) | 16.2503 | + | 29.1019i | 0.675340 | + | 1.20944i | ||||
\(580\) | −0.948544 | −0.0393861 | ||||||||
\(581\) | −19.2701 | + | 14.3209i | −0.799460 | + | 0.594130i | ||||
\(582\) | 8.40636 | + | 5.01544i | 0.348455 | + | 0.207897i | ||||
\(583\) | −20.1907 | − | 11.6571i | −0.836213 | − | 0.482788i | ||||
\(584\) | −5.41081 | + | 9.37179i | −0.223901 | + | 0.387807i | ||||
\(585\) | 5.55213 | − | 3.15116i | 0.229552 | − | 0.130284i | ||||
\(586\) | −0.344829 | + | 0.199087i | −0.0142448 | + | 0.00822421i | ||||
\(587\) | −25.9699 | + | 14.9937i | −1.07189 | + | 0.618856i | −0.928697 | − | 0.370838i | \(-0.879070\pi\) |
−0.143193 | + | 0.989695i | \(0.545737\pi\) | |||||||
\(588\) | −8.95108 | + | 8.17790i | −0.369137 | + | 0.337251i | ||||
\(589\) | 5.49059 | − | 9.50998i | 0.226236 | − | 0.391852i | ||||
\(590\) | −1.32273 | − | 2.29104i | −0.0544560 | − | 0.0943205i | ||||
\(591\) | 11.8193 | + | 7.05170i | 0.486183 | + | 0.290068i | ||||
\(592\) | 1.93040 | − | 1.11452i | 0.0793390 | − | 0.0458064i | ||||
\(593\) | −12.0409 | + | 6.95181i | −0.494460 | + | 0.285477i | −0.726423 | − | 0.687248i | \(-0.758819\pi\) |
0.231963 | + | 0.972725i | \(0.425485\pi\) | |||||||
\(594\) | −26.7890 | − | 17.0428i | −1.09916 | − | 0.699273i | ||||
\(595\) | −1.37623 | − | 11.8610i | −0.0564200 | − | 0.486256i | ||||
\(596\) | −4.01109 | − | 6.94741i | −0.164301 | − | 0.284577i | ||||
\(597\) | 16.7000 | − | 27.9908i | 0.683484 | − | 1.14559i | ||||
\(598\) | 26.5014 | + | 14.5572i | 1.08372 | + | 0.595287i | ||||
\(599\) | −5.85303 | − | 3.37925i | −0.239148 | − | 0.138072i | 0.375637 | − | 0.926767i | \(-0.377424\pi\) |
−0.614785 | + | 0.788695i | \(0.710757\pi\) | |||||||
\(600\) | −0.115489 | + | 8.05608i | −0.00471483 | + | 0.328888i | ||||
\(601\) | −11.3845 | + | 6.57283i | −0.464382 | + | 0.268111i | −0.713885 | − | 0.700263i | \(-0.753066\pi\) |
0.249503 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(602\) | −6.10401 | + | 14.1180i | −0.248781 | + | 0.575405i | ||||
\(603\) | −26.4236 | − | 16.2831i | −1.07605 | − | 0.663097i | ||||
\(604\) | − | 8.78536i | − | 0.357471i | ||||||
\(605\) | −13.4618 | + | 7.77217i | −0.547300 | + | 0.315984i | ||||
\(606\) | −0.293500 | + | 20.4734i | −0.0119226 | + | 0.831676i | ||||
\(607\) | 30.5177i | 1.23867i | 0.785125 | + | 0.619337i | \(0.212599\pi\) | ||||
−0.785125 | + | 0.619337i | \(0.787401\pi\) | |||||||
\(608\) | −1.97552 | − | 3.42169i | −0.0801178 | − | 0.138768i | ||||
\(609\) | 7.32719 | − | 0.743893i | 0.296913 | − | 0.0301441i | ||||
\(610\) | 0.0593724 | 0.00240392 | ||||||||
\(611\) | −18.0466 | − | 9.91295i | −0.730085 | − | 0.401035i | ||||
\(612\) | −10.8959 | − | 20.1874i | −0.440440 | − | 0.816027i | ||||
\(613\) | − | 3.63396i | − | 0.146774i | −0.997304 | − | 0.0733872i | \(-0.976619\pi\) | ||
0.997304 | − | 0.0733872i | \(-0.0233809\pi\) | |||||||
\(614\) | −5.13689 | + | 8.89736i | −0.207308 | + | 0.359068i | ||||
\(615\) | −0.0230819 | + | 1.61010i | −0.000930751 | + | 0.0649255i | ||||
\(616\) | 9.64312 | + | 12.9758i | 0.388533 | + | 0.522809i | ||||
\(617\) | 17.7255 | − | 30.7015i | 0.713603 | − | 1.23600i | −0.249893 | − | 0.968273i | \(-0.580395\pi\) |
0.963496 | − | 0.267723i | \(-0.0862712\pi\) | |||||||
\(618\) | −3.67219 | − | 6.57636i | −0.147717 | − | 0.264540i | ||||
\(619\) | −21.7709 | + | 37.7083i | −0.875046 | + | 1.51562i | −0.0183329 | + | 0.999832i | \(0.505836\pi\) |
−0.856713 | + | 0.515793i | \(0.827497\pi\) | |||||||
\(620\) | −1.42060 | + | 0.820184i | −0.0570527 | + | 0.0329394i | ||||
\(621\) | 23.3898 | − | 36.7656i | 0.938599 | − | 1.47535i | ||||
\(622\) | 1.05163 | + | 1.82148i | 0.0421666 | + | 0.0730347i | ||||
\(623\) | 1.25585 | + | 10.8235i | 0.0503144 | + | 0.433635i | ||||
\(624\) | −5.38647 | + | 3.16006i | −0.215631 | + | 0.126504i | ||||
\(625\) | −9.94811 | − | 17.2306i | −0.397924 | − | 0.689225i | ||||
\(626\) | 10.9013i | 0.435705i | ||||||||
\(627\) | −36.5097 | + | 20.3867i | −1.45806 | + | 0.814168i | ||||
\(628\) | − | 2.88085i | − | 0.114958i | ||||||
\(629\) | − | 17.0448i | − | 0.679621i | ||||||
\(630\) | 0.406317 | + | 4.66695i | 0.0161880 | + | 0.185936i | ||||
\(631\) | −21.1471 | − | 12.2093i | −0.841854 | − | 0.486045i | 0.0160399 | − | 0.999871i | \(-0.494894\pi\) |
−0.857894 | + | 0.513827i | \(0.828227\pi\) | |||||||
\(632\) | 3.17751 | + | 5.50361i | 0.126395 | + | 0.218922i | ||||
\(633\) | −3.81858 | − | 2.27826i | −0.151775 | − | 0.0905525i | ||||
\(634\) | −10.5453 | −0.418809 | ||||||||
\(635\) | −3.05723 | − | 1.76509i | −0.121322 | − | 0.0700455i | ||||
\(636\) | 3.22193 | + | 5.77000i | 0.127758 | + | 0.228795i | ||||
\(637\) | 24.4397 | − | 6.30091i | 0.968336 | − | 0.249651i | ||||
\(638\) | − | 9.82032i | − | 0.388790i | ||||||
\(639\) | −2.49641 | − | 4.62524i | −0.0987566 | − | 0.182972i | ||||
\(640\) | 0.590205i | 0.0233299i | ||||||||
\(641\) | −16.6886 | + | 9.63517i | −0.659160 | + | 0.380566i | −0.791957 | − | 0.610577i | \(-0.790938\pi\) |
0.132797 | + | 0.991143i | \(0.457604\pi\) | |||||||
\(642\) | −7.84551 | + | 13.1498i | −0.309638 | + | 0.518983i | ||||
\(643\) | −15.0498 | + | 26.0670i | −0.593505 | + | 1.02798i | 0.400251 | + | 0.916405i | \(0.368923\pi\) |
−0.993756 | + | 0.111575i | \(0.964410\pi\) | |||||||
\(644\) | −17.8082 | + | 13.2344i | −0.701740 | + | 0.521508i | ||||
\(645\) | 2.89738 | + | 5.18878i | 0.114084 | + | 0.204308i | ||||
\(646\) | −30.2124 | −1.18869 | ||||||||
\(647\) | 28.6708 | 1.12716 | 0.563582 | − | 0.826060i | \(-0.309423\pi\) | ||||
0.563582 | + | 0.826060i | \(0.309423\pi\) | |||||||
\(648\) | 4.04594 | + | 8.03930i | 0.158939 | + | 0.315814i | ||||
\(649\) | 23.7192 | − | 13.6943i | 0.931061 | − | 0.537548i | ||||
\(650\) | 8.07473 | − | 14.7001i | 0.316717 | − | 0.576584i | ||||
\(651\) | 10.3304 | − | 7.44976i | 0.404882 | − | 0.291979i | ||||
\(652\) | −4.65862 | + | 2.68966i | −0.182446 | + | 0.105335i | ||||
\(653\) | −23.9099 | − | 13.8044i | −0.935666 | − | 0.540207i | −0.0470671 | − | 0.998892i | \(-0.514987\pi\) |
−0.888599 | + | 0.458685i | \(0.848321\pi\) | |||||||
\(654\) | 15.2632 | − | 25.5826i | 0.596837 | − | 1.00036i | ||||
\(655\) | −2.86087 | − | 1.65172i | −0.111783 | − | 0.0645381i | ||||
\(656\) | − | 1.57520i | − | 0.0615011i | ||||||
\(657\) | −15.4198 | − | 28.5691i | −0.601584 | − | 1.11459i | ||||
\(658\) | 12.1268 | − | 9.01218i | 0.472751 | − | 0.351331i | ||||
\(659\) | −28.9405 | − | 16.7088i | −1.12736 | − | 0.650884i | −0.184093 | − | 0.982909i | \(-0.558935\pi\) |
−0.943270 | + | 0.332025i | \(0.892268\pi\) | |||||||
\(660\) | 6.24582 | + | 0.0895380i | 0.243118 | + | 0.00348526i | ||||
\(661\) | 10.4140 | 0.405058 | 0.202529 | − | 0.979276i | \(-0.435084\pi\) | ||||
0.202529 | + | 0.979276i | \(0.435084\pi\) | |||||||
\(662\) | −12.6163 | − | 7.28403i | −0.490347 | − | 0.283102i | ||||
\(663\) | 0.332329 | + | 47.7526i | 0.0129066 | + | 1.85456i | ||||
\(664\) | − | 9.07449i | − | 0.352159i | ||||||
\(665\) | 5.66303 | + | 2.44845i | 0.219603 | + | 0.0949470i | ||||
\(666\) | −0.191689 | + | 6.68436i | −0.00742779 | + | 0.259014i | ||||
\(667\) | 13.4776 | 0.521854 | ||||||||
\(668\) | 14.1115 | + | 8.14728i | 0.545990 | + | 0.315228i | ||||
\(669\) | 5.32273 | + | 3.17567i | 0.205789 | + | 0.122778i | ||||
\(670\) | 6.10622 | 0.235904 | ||||||||
\(671\) | 0.614686i | 0.0237297i | ||||||||
\(672\) | −0.462866 | − | 4.55914i | −0.0178555 | − | 0.175873i | ||||
\(673\) | −0.105584 | − | 0.182877i | −0.00406998 | − | 0.00704941i | 0.863983 | − | 0.503521i | \(-0.167962\pi\) |
−0.868053 | + | 0.496471i | \(0.834629\pi\) | |||||||
\(674\) | −15.5415 | + | 26.9187i | −0.598636 | + | 1.03687i | ||||
\(675\) | −20.3936 | − | 12.9741i | −0.784948 | − | 0.499373i | ||||
\(676\) | 12.9882 | − | 0.553475i | 0.499547 | − | 0.0212875i | ||||
\(677\) | 11.7820 | + | 20.4071i | 0.452820 | + | 0.784307i | 0.998560 | − | 0.0536474i | \(-0.0170847\pi\) |
−0.545740 | + | 0.837955i | \(0.683751\pi\) | |||||||
\(678\) | 13.8740 | − | 23.2542i | 0.532829 | − | 0.893073i | ||||
\(679\) | 14.8531 | − | 1.72339i | 0.570008 | − | 0.0661377i | ||||
\(680\) | 3.90849 | + | 2.25657i | 0.149884 | + | 0.0865353i | ||||
\(681\) | 10.6261 | − | 17.8104i | 0.407193 | − | 0.682495i | ||||
\(682\) | −8.49140 | − | 14.7075i | −0.325153 | − | 0.563181i | ||||
\(683\) | 0.694198 | + | 1.20239i | 0.0265627 | + | 0.0460080i | 0.879001 | − | 0.476820i | \(-0.158210\pi\) |
−0.852438 | + | 0.522828i | \(0.824877\pi\) | |||||||
\(684\) | 11.8482 | + | 0.339774i | 0.453028 | + | 0.0129916i | ||||
\(685\) | −10.8090 | − | 6.24059i | −0.412991 | − | 0.238441i | ||||
\(686\) | −3.26209 | + | 18.2307i | −0.124547 | + | 0.696052i | ||||
\(687\) | 16.5851 | + | 9.89509i | 0.632763 | + | 0.377521i | ||||
\(688\) | −2.90674 | − | 5.03462i | −0.110818 | − | 0.191943i | ||||
\(689\) | −0.292917 | − | 13.7538i | −0.0111593 | − | 0.523978i | ||||
\(690\) | −0.122883 | + | 8.57187i | −0.00467809 | + | 0.326326i | ||||
\(691\) | 13.1244 | − | 22.7321i | 0.499276 | − | 0.864771i | −0.500724 | − | 0.865607i | \(-0.666933\pi\) |
1.00000 | 0.000835740i | \(0.000266024\pi\) | ||||||||
\(692\) | 7.20003 | + | 12.4708i | 0.273704 | + | 0.474069i | ||||
\(693\) | −48.3172 | + | 4.20661i | −1.83542 | + | 0.159796i | ||||
\(694\) | − | 24.6678i | − | 0.936378i | ||||||
\(695\) | −6.36744 | −0.241531 | ||||||||
\(696\) | −1.42624 | + | 2.39052i | −0.0540615 | + | 0.0906123i | ||||
\(697\) | −10.4313 | − | 6.02254i | −0.395115 | − | 0.228120i | ||||
\(698\) | 33.1601 | 1.25513 | ||||||||
\(699\) | 14.1776 | − | 23.7631i | 0.536247 | − | 0.898802i | ||||
\(700\) | 7.34099 | + | 9.87802i | 0.277463 | + | 0.373354i | ||||
\(701\) | 35.5148i | 1.34137i | 0.741740 | + | 0.670687i | \(0.234001\pi\) | ||||
−0.741740 | + | 0.670687i | \(0.765999\pi\) | |||||||
\(702\) | 0.406706 | − | 18.7306i | 0.0153501 | − | 0.706940i | ||||
\(703\) | 7.62708 | + | 4.40350i | 0.287661 | + | 0.166081i | ||||
\(704\) | −6.11042 | −0.230295 | ||||||||
\(705\) | 0.0836796 | − | 5.83716i | 0.00315155 | − | 0.219840i | ||||
\(706\) | −12.5305 | − | 7.23450i | −0.471593 | − | 0.272274i | ||||
\(707\) | 18.6561 | + | 25.1036i | 0.701636 | + | 0.944120i | ||||
\(708\) | −7.76274 | − | 0.111284i | −0.291742 | − | 0.00418231i | ||||
\(709\) | 21.6989i | 0.814918i | 0.913224 | + | 0.407459i | \(0.133585\pi\) | ||||
−0.913224 | + | 0.407459i | \(0.866415\pi\) | |||||||
\(710\) | 0.895494 | + | 0.517014i | 0.0336073 | + | 0.0194032i | ||||
\(711\) | −19.0572 | − | 0.546509i | −0.714702 | − | 0.0204957i | ||||
\(712\) | −3.56660 | − | 2.05918i | −0.133664 | − | 0.0771709i | ||||
\(713\) | 20.1849 | − | 11.6537i | 0.755930 | − | 0.436436i | ||||
\(714\) | −31.9615 | − | 14.3660i | −1.19613 | − | 0.537635i | ||||
\(715\) | −11.3969 | − | 6.26028i | −0.426218 | − | 0.234121i | ||||
\(716\) | 9.93300 | − | 5.73482i | 0.371214 | − | 0.214320i | ||||
\(717\) | −26.7471 | + | 14.9354i | −0.998890 | + | 0.557773i | ||||
\(718\) | −14.0020 | −0.522549 | ||||||||
\(719\) | 29.4841 | 1.09957 | 0.549785 | − | 0.835306i | \(-0.314710\pi\) | ||||
0.549785 | + | 0.835306i | \(0.314710\pi\) | |||||||
\(720\) | −1.50739 | − | 0.928899i | −0.0561771 | − | 0.0346180i | ||||
\(721\) | −10.5608 | − | 4.56602i | −0.393303 | − | 0.170048i | ||||
\(722\) | −1.69467 | + | 2.93526i | −0.0630691 | + | 0.109239i | ||||
\(723\) | −35.9469 | − | 21.4468i | −1.33688 | − | 0.797615i | ||||
\(724\) | 12.7339 | − | 7.35194i | 0.473253 | − | 0.273233i | ||||
\(725\) | − | 7.47588i | − | 0.277647i | ||||||
\(726\) | −0.653888 | + | 45.6127i | −0.0242681 | + | 1.69285i | ||||
\(727\) | 7.96128i | 0.295268i | 0.989042 | + | 0.147634i | \(0.0471657\pi\) | ||||
−0.989042 | + | 0.147634i | \(0.952834\pi\) | |||||||
\(728\) | −3.59844 | + | 8.83466i | −0.133367 | + | 0.327434i | ||||
\(729\) | −26.9002 | − | 2.31936i | −0.996304 | − | 0.0859021i | ||||
\(730\) | 5.53127 | + | 3.19348i | 0.204722 | + | 0.118196i | ||||
\(731\) | −44.4541 | −1.64419 | ||||||||
\(732\) | 0.0892730 | − | 0.149630i | 0.00329962 | − | 0.00553049i | ||||
\(733\) | 23.6265 | + | 40.9223i | 0.872665 | + | 1.51150i | 0.859230 | + | 0.511590i | \(0.170943\pi\) |
0.0134348 | + | 0.999910i | \(0.495723\pi\) | |||||||
\(734\) | −12.7593 | − | 7.36659i | −0.470954 | − | 0.271906i | ||||
\(735\) | 4.82664 | + | 5.28297i | 0.178033 | + | 0.194865i | ||||
\(736\) | − | 8.38604i | − | 0.309114i | ||||||
\(737\) | 63.2180i | 2.32867i | ||||||||
\(738\) | 4.02307 | + | 2.47914i | 0.148091 | + | 0.0912582i | ||||
\(739\) | − | 21.8654i | − | 0.804332i | −0.915567 | − | 0.402166i | \(-0.868258\pi\) | ||
0.915567 | − | 0.402166i | \(-0.131742\pi\) | |||||||
\(740\) | −0.657794 | − | 1.13933i | −0.0241810 | − | 0.0418827i | ||||
\(741\) | −21.4538 | − | 12.1881i | −0.788126 | − | 0.447741i | ||||
\(742\) | 9.26586 | + | 4.00616i | 0.340160 | + | 0.147071i | ||||
\(743\) | −5.23639 | − | 9.06969i | −0.192104 | − | 0.332735i | 0.753843 | − | 0.657055i | \(-0.228198\pi\) |
−0.945947 | + | 0.324320i | \(0.894865\pi\) | |||||||
\(744\) | −0.0690037 | + | 4.81343i | −0.00252980 | + | 0.176469i | ||||
\(745\) | −4.10040 | + | 2.36736i | −0.150227 | + | 0.0867335i | ||||
\(746\) | 7.91499 | − | 13.7092i | 0.289788 | − | 0.501928i | ||||
\(747\) | 23.1763 | + | 14.2820i | 0.847978 | + | 0.522550i | ||||
\(748\) | −23.3623 | + | 40.4647i | −0.854211 | + | 1.47954i | ||||
\(749\) | 2.69586 | + | 23.2342i | 0.0985045 | + | 0.848961i | ||||
\(750\) | 9.86553 | + | 0.141429i | 0.360238 | + | 0.00516426i | ||||
\(751\) | −17.3269 | + | 30.0111i | −0.632268 | + | 1.09512i | 0.354819 | + | 0.934935i | \(0.384542\pi\) |
−0.987087 | + | 0.160185i | \(0.948791\pi\) | |||||||
\(752\) | 5.71062i | 0.208245i | ||||||||
\(753\) | 0.0796371 | − | 5.55518i | 0.00290214 | − | 0.202442i | ||||
\(754\) | 4.95548 | − | 3.00351i | 0.180468 | − | 0.109382i | ||||
\(755\) | −5.18516 | −0.188707 | ||||||||
\(756\) | 12.3726 | + | 5.99328i | 0.449986 | + | 0.217973i | ||||
\(757\) | −12.1846 | − | 21.1043i | −0.442856 | − | 0.767050i | 0.555044 | − | 0.831821i | \(-0.312701\pi\) |
−0.997900 | + | 0.0647715i | \(0.979368\pi\) | |||||||
\(758\) | 12.9839i | 0.471595i | ||||||||
\(759\) | −88.7450 | − | 1.27222i | −3.22124 | − | 0.0461786i | ||||
\(760\) | −2.01950 | + | 1.16596i | −0.0732550 | + | 0.0422938i | ||||
\(761\) | − | 6.69934i | − | 0.242851i | −0.992601 | − | 0.121426i | \(-0.961253\pi\) | ||
0.992601 | − | 0.121426i | \(-0.0387466\pi\) | |||||||
\(762\) | −9.04525 | + | 5.05081i | −0.327675 | + | 0.182971i | ||||
\(763\) | −5.24469 | − | 45.2014i | −0.189871 | − | 1.63640i | ||||
\(764\) | −9.40428 | + | 5.42957i | −0.340235 | + | 0.196435i | ||||
\(765\) | −11.9147 | + | 6.43080i | −0.430777 | + | 0.232506i | ||||
\(766\) | 3.62494 | + | 2.09286i | 0.130975 | + | 0.0756182i | ||||
\(767\) | 14.1648 | + | 7.78071i | 0.511461 | + | 0.280945i | ||||
\(768\) | 1.48743 | + | 0.887438i | 0.0536731 | + | 0.0320227i | ||||
\(769\) | 3.97005 | + | 6.87633i | 0.143164 | + | 0.247967i | 0.928686 | − | 0.370866i | \(-0.120939\pi\) |
−0.785523 | + | 0.618833i | \(0.787606\pi\) | |||||||
\(770\) | 7.65836 | − | 5.69142i | 0.275988 | − | 0.205104i | ||||
\(771\) | −0.0293791 | + | 2.04937i | −0.00105806 | + | 0.0738062i | ||||
\(772\) | −16.6658 | + | 9.62200i | −0.599815 | + | 0.346304i | ||||
\(773\) | 12.9640 | − | 7.48477i | 0.466283 | − | 0.269208i | −0.248400 | − | 0.968658i | \(-0.579905\pi\) |
0.714682 | + | 0.699449i | \(0.246571\pi\) | |||||||
\(774\) | 17.4333 | + | 0.499938i | 0.626626 | + | 0.0179699i | ||||
\(775\) | −6.46422 | − | 11.1964i | −0.232202 | − | 0.402185i | ||||
\(776\) | −2.82580 | + | 4.89442i | −0.101440 | + | 0.175700i | ||||
\(777\) | 5.97476 | + | 8.28510i | 0.214343 | + | 0.297226i | ||||
\(778\) | 19.0201 | − | 10.9812i | 0.681903 | − | 0.393697i | ||||
\(779\) | 5.38984 | − | 3.11182i | 0.193111 | − | 0.111493i | ||||
\(780\) | 1.86508 | + | 3.17912i | 0.0667807 | + | 0.113831i | ||||
\(781\) | −5.35267 | + | 9.27110i | −0.191534 | + | 0.331746i | ||||
\(782\) | −55.5345 | − | 32.0629i | −1.98591 | − | 1.14657i | ||||
\(783\) | −3.86071 | − | 7.40497i | −0.137970 | − | 0.264632i | ||||
\(784\) | −4.79511 | − | 5.09970i | −0.171254 | − | 0.182132i | ||||
\(785\) | −1.70029 | −0.0606859 | ||||||||
\(786\) | −8.46429 | + | 4.72640i | −0.301911 | + | 0.168585i | ||||
\(787\) | −8.80556 | − | 15.2517i | −0.313884 | − | 0.543664i | 0.665315 | − | 0.746562i | \(-0.268297\pi\) |
−0.979200 | + | 0.202899i | \(0.934964\pi\) | |||||||
\(788\) | −3.97307 | + | 6.88156i | −0.141535 | + | 0.245145i | ||||
\(789\) | −1.13334 | − | 2.02964i | −0.0403478 | − | 0.0722571i | ||||
\(790\) | 3.24826 | − | 1.87538i | 0.115568 | − | 0.0667231i | ||||
\(791\) | −4.76736 | − | 41.0875i | −0.169508 | − | 1.46090i | ||||
\(792\) | 9.61693 | − | 15.6061i | 0.341723 | − | 0.554538i | ||||
\(793\) | −0.310179 | + | 0.188000i | −0.0110148 | + | 0.00667606i | ||||
\(794\) | −16.5607 | + | 28.6839i | −0.587716 | + | 1.01795i | ||||
\(795\) | 3.40548 | − | 1.90160i | 0.120780 | − | 0.0674427i | ||||
\(796\) | 16.2970 | + | 9.40910i | 0.577633 | + | 0.333497i | ||||
\(797\) | 0.00976904 | − | 0.0169205i | 0.000346037 | − | 0.000599354i | −0.865852 | − | 0.500300i | \(-0.833223\pi\) |
0.866198 | + | 0.499700i | \(0.166557\pi\) | |||||||
\(798\) | 14.6856 | − | 10.5904i | 0.519864 | − | 0.374898i | ||||
\(799\) | 37.8172 | + | 21.8337i | 1.33787 | + | 0.772422i | ||||
\(800\) | −4.65166 | −0.164461 | ||||||||
\(801\) | 10.8725 | − | 5.86827i | 0.384160 | − | 0.207345i | ||||
\(802\) | −3.47187 | − | 6.01346i | −0.122596 | − | 0.212343i | ||||
\(803\) | −33.0623 | + | 57.2656i | −1.16674 | + | 2.02086i | ||||
\(804\) | 9.18138 | − | 15.3889i | 0.323802 | − | 0.542724i | ||||
\(805\) | 7.81100 | + | 10.5105i | 0.275301 | + | 0.370445i | ||||
\(806\) | 4.82457 | − | 8.78314i | 0.169938 | − | 0.309373i | ||||
\(807\) | 9.61761 | + | 5.73810i | 0.338556 | + | 0.201991i | ||||
\(808\) | −11.8216 | −0.415881 | ||||||||
\(809\) | 6.51658i | 0.229111i | 0.993417 | + | 0.114555i | \(0.0365443\pi\) | ||||
−0.993417 | + | 0.114555i | \(0.963456\pi\) | |||||||
\(810\) | 4.74483 | − | 2.38793i | 0.166716 | − | 0.0839034i | ||||
\(811\) | −7.01415 | −0.246300 | −0.123150 | − | 0.992388i | \(-0.539300\pi\) | ||||
−0.123150 | + | 0.992388i | \(0.539300\pi\) | |||||||
\(812\) | 0.490081 | + | 4.22377i | 0.0171985 | + | 0.148225i | ||||
\(813\) | 0.477580 | − | 33.3141i | 0.0167495 | − | 1.16838i | ||||
\(814\) | 11.7956 | − | 6.81017i | 0.413434 | − | 0.238696i | ||||
\(815\) | 1.58745 | + | 2.74954i | 0.0556059 | + | 0.0963122i | ||||
\(816\) | 11.5638 | − | 6.45716i | 0.404815 | − | 0.226046i | ||||
\(817\) | 11.4846 | − | 19.8920i | 0.401796 | − | 0.695932i | ||||
\(818\) | −0.303545 | −0.0106132 | ||||||||
\(819\) | −16.9004 | − | 23.0950i | −0.590547 | − | 0.807003i | ||||
\(820\) | −0.929688 | −0.0324661 | ||||||||
\(821\) | −6.32403 | + | 10.9535i | −0.220710 | + | 0.382281i | −0.955024 | − | 0.296529i | \(-0.904171\pi\) |
0.734314 | + | 0.678810i | \(0.237504\pi\) | |||||||
\(822\) | −31.9800 | + | 17.8574i | −1.11543 | + | 0.622850i | ||||
\(823\) | 21.7868 | + | 37.7359i | 0.759441 | + | 1.31539i | 0.943136 | + | 0.332408i | \(0.107861\pi\) |
−0.183694 | + | 0.982983i | \(0.558806\pi\) | |||||||
\(824\) | 3.76608 | − | 2.17435i | 0.131198 | − | 0.0757471i | ||||
\(825\) | −0.705688 | + | 49.2260i | −0.0245689 | + | 1.71383i | ||||
\(826\) | −9.51834 | + | 7.07369i | −0.331185 | + | 0.246125i | ||||
\(827\) | −25.1546 | −0.874712 | −0.437356 | − | 0.899288i | \(-0.644085\pi\) | ||||
−0.437356 | + | 0.899288i | \(0.644085\pi\) | |||||||
\(828\) | 21.4180 | + | 13.1984i | 0.744328 | + | 0.458677i | ||||
\(829\) | 48.6579i | 1.68996i | 0.534799 | + | 0.844979i | \(0.320387\pi\) | ||||
−0.534799 | + | 0.844979i | \(0.679613\pi\) | |||||||
\(830\) | −5.35581 | −0.185903 | ||||||||
\(831\) | −17.4955 | − | 10.4383i | −0.606914 | − | 0.362099i | ||||
\(832\) | −1.86885 | − | 3.08341i | −0.0647908 | − | 0.106898i | ||||
\(833\) | −52.1049 | + | 12.2564i | −1.80533 | + | 0.424660i | ||||
\(834\) | −9.57415 | + | 16.0472i | −0.331526 | + | 0.555669i | ||||
\(835\) | 4.80856 | − | 8.32867i | 0.166407 | − | 0.288226i | ||||
\(836\) | −12.0712 | − | 20.9080i | −0.417492 | − | 0.723118i | ||||
\(837\) | −12.1849 | − | 7.75189i | −0.421173 | − | 0.267945i | ||||
\(838\) | −5.71451 | −0.197404 | ||||||||
\(839\) | 18.3244 | + | 10.5796i | 0.632630 | + | 0.365249i | 0.781770 | − | 0.623567i | \(-0.214317\pi\) |
−0.149140 | + | 0.988816i | \(0.547650\pi\) | |||||||
\(840\) | −2.69083 | + | 0.273186i | −0.0928423 | + | 0.00942581i | ||||
\(841\) | −13.2085 | + | 22.8779i | −0.455467 | + | 0.788892i | ||||
\(842\) | −8.01539 | − | 4.62769i | −0.276229 | − | 0.159481i | ||||
\(843\) | 33.2622 | − | 18.5734i | 1.14561 | − | 0.639701i | ||||
\(844\) | 1.28361 | − | 2.22329i | 0.0441838 | − | 0.0765286i | ||||
\(845\) | −0.326664 | − | 7.66570i | −0.0112376 | − | 0.263708i | ||||
\(846\) | −14.5850 | − | 8.98770i | −0.501442 | − | 0.309004i | ||||
\(847\) | 41.5639 | + | 55.9283i | 1.42815 | + | 1.92172i | ||||
\(848\) | −3.30431 | + | 1.90774i | −0.113470 | + | 0.0655121i | ||||
\(849\) | 10.8497 | + | 19.4302i | 0.372360 | + | 0.666843i | ||||
\(850\) | −17.7850 | + | 30.8045i | −0.610019 | + | 1.05658i | ||||
\(851\) | 9.34639 | + | 16.1884i | 0.320390 | + | 0.554932i | ||||
\(852\) | 2.64945 | − | 1.47944i | 0.0907687 | − | 0.0506846i | ||||
\(853\) | −53.6426 | −1.83669 | −0.918344 | − | 0.395782i | \(-0.870473\pi\) | ||||
−0.918344 | + | 0.395782i | \(0.870473\pi\) | |||||||
\(854\) | −0.0306758 | − | 0.264379i | −0.00104970 | − | 0.00904687i | ||||
\(855\) | 0.200536 | − | 6.99288i | 0.00685820 | − | 0.239151i | ||||
\(856\) | −7.65622 | − | 4.42032i | −0.261684 | − | 0.151083i | ||||
\(857\) | −12.3135 | + | 21.3277i | −0.420623 | + | 0.728540i | −0.996000 | − | 0.0893479i | \(-0.971522\pi\) |
0.575378 | + | 0.817888i | \(0.304855\pi\) | |||||||
\(858\) | −32.9136 | + | 19.3093i | −1.12365 | + | 0.659208i | ||||
\(859\) | 1.35293 | − | 0.781117i | 0.0461615 | − | 0.0266514i | −0.476742 | − | 0.879043i | \(-0.658182\pi\) |
0.522903 | + | 0.852392i | \(0.324849\pi\) | |||||||
\(860\) | −2.97146 | + | 1.71557i | −0.101326 | + | 0.0585005i | ||||
\(861\) | 7.18154 | − | 0.729105i | 0.244746 | − | 0.0248478i | ||||
\(862\) | 5.05283 | − | 8.75176i | 0.172100 | − | 0.298086i | ||||
\(863\) | −13.1821 | − | 22.8320i | −0.448723 | − | 0.777210i | 0.549581 | − | 0.835441i | \(-0.314788\pi\) |
−0.998303 | + | 0.0582303i | \(0.981454\pi\) | |||||||
\(864\) | −4.60753 | + | 2.40222i | −0.156751 | + | 0.0817250i | ||||
\(865\) | 7.36033 | − | 4.24949i | 0.250259 | − | 0.144487i | ||||
\(866\) | −32.8655 | + | 18.9749i | −1.11682 | + | 0.644794i | ||||
\(867\) | 1.02966 | − | 71.8248i | 0.0349690 | − | 2.43930i | ||||
\(868\) | 4.38617 | + | 5.90202i | 0.148876 | + | 0.200328i | ||||
\(869\) | 19.4159 | + | 33.6294i | 0.658640 | + | 1.14080i | ||||
\(870\) | 1.41089 | + | 0.841774i | 0.0478338 | + | 0.0285388i | ||||
\(871\) | −31.9007 | + | 19.3350i | −1.08092 | + | 0.655143i | ||||
\(872\) | 14.8949 | + | 8.59957i | 0.504405 | + | 0.291218i | ||||
\(873\) | −8.05300 | − | 14.9202i | −0.272553 | − | 0.504974i | ||||
\(874\) | 28.6945 | − | 16.5668i | 0.970605 | − | 0.560379i | ||||
\(875\) | 12.0967 | − | 8.98983i | 0.408943 | − | 0.303912i | ||||
\(876\) | 16.3651 | − | 9.13815i | 0.552925 | − | 0.308749i | ||||
\(877\) | − | 23.3161i | − | 0.787328i | −0.919254 | − | 0.393664i | \(-0.871207\pi\) | ||
0.919254 | − | 0.393664i | \(-0.128793\pi\) | |||||||
\(878\) | 24.6369 | − | 14.2241i | 0.831456 | − | 0.480042i | ||||
\(879\) | 0.689587 | + | 0.00988569i | 0.0232592 | + | 0.000333436i | ||||
\(880\) | 3.60640i | 0.121572i | ||||||||
\(881\) | −7.67467 | − | 13.2929i | −0.258566 | − | 0.447850i | 0.707292 | − | 0.706922i | \(-0.249917\pi\) |
−0.965858 | + | 0.259072i | \(0.916583\pi\) | |||||||
\(882\) | 20.5715 | − | 4.22054i | 0.692679 | − | 0.142113i | ||||
\(883\) | 34.2457 | 1.15246 | 0.576230 | − | 0.817287i | \(-0.304523\pi\) | ||||
0.576230 | + | 0.817287i | \(0.304523\pi\) | |||||||
\(884\) | −27.5644 | + | 0.587044i | −0.927091 | + | 0.0197444i | ||||
\(885\) | −0.0656803 | + | 4.58160i | −0.00220782 | + | 0.154009i | ||||
\(886\) | 21.6680i | 0.727952i | ||||||||
\(887\) | 21.8340 | − | 37.8177i | 0.733116 | − | 1.26979i | −0.222430 | − | 0.974949i | \(-0.571399\pi\) |
0.955545 | − | 0.294845i | \(-0.0952679\pi\) | |||||||
\(888\) | −3.86041 | − | 0.0553415i | −0.129547 | − | 0.00185714i | ||||
\(889\) | −6.28019 | + | 14.5255i | −0.210631 | + | 0.487169i | ||||
\(890\) | −1.21534 | + | 2.10502i | −0.0407381 | + | 0.0705605i | ||||
\(891\) | 24.7224 | + | 49.1235i | 0.828231 | + | 1.64570i | ||||
\(892\) | −1.78923 | + | 3.09905i | −0.0599080 | + | 0.103764i | ||||
\(893\) | −19.5400 | + | 11.2814i | −0.653881 | + | 0.377518i | ||||
\(894\) | −0.199171 | + | 13.8934i | −0.00666128 | + | 0.464665i | ||||
\(895\) | −3.38472 | − | 5.86250i | −0.113139 | − | 0.195962i | ||||
\(896\) | 2.62812 | − | 0.304939i | 0.0877993 | − | 0.0101873i | ||||
\(897\) | −26.5004 | − | 45.1711i | −0.884822 | − | 1.50822i | ||||
\(898\) | 6.23704 | + | 10.8029i | 0.208133 | + | 0.360496i | ||||
\(899\) | − | 4.46677i | − | 0.148975i | ||||||
\(900\) | 7.32105 | − | 11.8804i | 0.244035 | − | 0.396013i | ||||
\(901\) | 29.1759i | 0.971992i | ||||||||
\(902\) | − | 9.62510i | − | 0.320481i | ||||||
\(903\) | 21.6081 | − | 15.5826i | 0.719073 | − | 0.518556i | ||||
\(904\) | 13.5393 | + | 7.81690i | 0.450310 | + | 0.259986i | ||||
\(905\) | −4.33915 | − | 7.51563i | −0.144238 | − | 0.249828i | ||||
\(906\) | −7.79646 | + | 13.0676i | −0.259020 | + | 0.434143i | ||||
\(907\) | 23.3018 | 0.773723 | 0.386861 | − | 0.922138i | \(-0.373559\pi\) | ||||
0.386861 | + | 0.922138i | \(0.373559\pi\) | |||||||
\(908\) | 10.3697 | + | 5.98695i | 0.344131 | + | 0.198684i | ||||
\(909\) | 18.6055 | − | 30.1924i | 0.617104 | − | 1.00142i | ||||
\(910\) | 5.21426 | + | 2.12382i | 0.172851 | + | 0.0704039i | ||||
\(911\) | − | 48.4817i | − | 1.60627i | −0.595796 | − | 0.803136i | \(-0.703163\pi\) | ||
0.595796 | − | 0.803136i | \(-0.296837\pi\) | |||||||
\(912\) | −0.0980944 | + | 6.84269i | −0.00324823 | + | 0.226584i | ||||
\(913\) | − | 55.4489i | − | 1.83509i | ||||||
\(914\) | 8.30703 | − | 4.79607i | 0.274772 | − | 0.158640i | ||||
\(915\) | −0.0883124 | − | 0.0526893i | −0.00291952 | − | 0.00174186i | ||||
\(916\) | −5.57509 | + | 9.65634i | −0.184206 | + | 0.319054i | ||||
\(917\) | −5.87683 | + | 13.5925i | −0.194070 | + | 0.448865i | ||||
\(918\) | −1.70818 | + | 39.6968i | −0.0563782 | + | 1.31019i | ||||
\(919\) | 2.50142 | 0.0825141 | 0.0412570 | − | 0.999149i | \(-0.486864\pi\) | ||||
0.0412570 | + | 0.999149i | \(0.486864\pi\) | |||||||
\(920\) | −4.94948 | −0.163180 | ||||||||
\(921\) | 15.5366 | − | 8.67554i | 0.511949 | − | 0.285869i | ||||
\(922\) | 4.17780 | − | 2.41206i | 0.137589 | − | 0.0794368i | ||||
\(923\) | −6.31543 | + | 0.134501i | −0.207875 | + | 0.00442715i | ||||
\(924\) | −2.82831 | − | 27.8582i | −0.0930444 | − | 0.916469i | ||||
\(925\) | 8.97957 | − | 5.18436i | 0.295246 | − | 0.170461i | ||||
\(926\) | −2.67382 | − | 1.54373i | −0.0878673 | − | 0.0507302i | ||||
\(927\) | −0.373972 | + | 13.0407i | −0.0122829 | + | 0.428314i | ||||
\(928\) | −1.39183 | − | 0.803572i | −0.0456890 | − | 0.0263785i | ||||
\(929\) | − | 29.5977i | − | 0.971069i | −0.874217 | − | 0.485535i | \(-0.838625\pi\) | ||
0.874217 | − | 0.485535i | \(-0.161375\pi\) | |||||||
\(930\) | 2.84091 | + | 0.0407263i | 0.0931571 | + | 0.00133547i | ||||
\(931\) | 7.97681 | − | 26.4819i | 0.261429 | − | 0.867910i | ||||
\(932\) | 13.8355 | + | 7.98795i | 0.453198 | + | 0.261654i | ||||
\(933\) | 0.0522189 | − | 3.64258i | 0.00170957 | − | 0.119253i | ||||
\(934\) | −8.32473 | −0.272394 | ||||||||
\(935\) | 23.8825 | + | 13.7886i | 0.781041 | + | 0.450934i | ||||
\(936\) | 10.8164 | + | 0.0797765i | 0.353544 | + | 0.00260758i | ||||
\(937\) | 27.0251i | 0.882873i | 0.897293 | + | 0.441436i | \(0.145531\pi\) | ||||
−0.897293 | + | 0.441436i | \(0.854469\pi\) | |||||||
\(938\) | −3.15488 | − | 27.1904i | −0.103011 | − | 0.887797i | ||||
\(939\) | 9.67426 | − | 16.2150i | 0.315708 | − | 0.529157i | ||||
\(940\) | 3.37043 | 0.109931 | ||||||||
\(941\) | 32.5113 | + | 18.7704i | 1.05984 | + | 0.611898i | 0.925387 | − | 0.379022i | \(-0.123740\pi\) |
0.134451 | + | 0.990920i | \(0.457073\pi\) | |||||||
\(942\) | −2.55657 | + | 4.28506i | −0.0832976 | + | 0.139615i | ||||
\(943\) | 13.2097 | 0.430165 | ||||||||
\(944\) | − | 4.48228i | − | 0.145886i | ||||||
\(945\) | 3.53726 | − | 7.30235i | 0.115067 | − | 0.237546i | ||||
\(946\) | −17.7614 | − | 30.7636i | −0.577473 | − | 1.00021i | ||||
\(947\) | 15.7164 | − | 27.2216i | 0.510714 | − | 0.884583i | −0.489209 | − | 0.872167i | \(-0.662714\pi\) |
0.999923 | − | 0.0124164i | \(-0.00395236\pi\) | |||||||
\(948\) | 0.157780 | − | 11.0061i | 0.00512445 | − | 0.357461i | ||||
\(949\) | −39.0090 | + | 0.830782i | −1.26629 | + | 0.0269683i | ||||
\(950\) | −9.18943 | − | 15.9166i | −0.298144 | − | 0.516401i | ||||
\(951\) | 15.6855 | + | 9.35833i | 0.508636 | + | 0.303465i | ||||
\(952\) | 8.02886 | − | 18.5700i | 0.260217 | − | 0.601856i | ||||
\(953\) | 47.5409 | + | 27.4478i | 1.54000 | + | 0.889120i | 0.998838 | + | 0.0482023i | \(0.0153492\pi\) |
0.541163 | + | 0.840918i | \(0.317984\pi\) | |||||||
\(954\) | 0.328118 | − | 11.4417i | 0.0106232 | − | 0.370440i | ||||
\(955\) | 3.20456 | + | 5.55045i | 0.103697 | + | 0.179608i | ||||
\(956\) | −8.84344 | − | 15.3173i | −0.286017 | − | 0.495396i | ||||
\(957\) | −8.71492 | + | 14.6071i | −0.281713 | + | 0.472179i | ||||
\(958\) | −10.4595 | − | 6.03880i | −0.337931 | − | 0.195105i | ||||
\(959\) | −22.2040 | + | 51.3557i | −0.717005 | + | 1.65836i | ||||
\(960\) | 0.523770 | − | 0.877889i | 0.0169046 | − | 0.0283338i | ||||
\(961\) | 11.6377 | + | 20.1571i | 0.375409 | + | 0.650228i | ||||
\(962\) | 7.04415 | + | 3.86934i | 0.227112 | + | 0.124753i | ||||
\(963\) | 23.3393 | − | 12.5971i | 0.752100 | − | 0.405936i | ||||
\(964\) | 12.0836 | − | 20.9293i | 0.389185 | − | 0.674088i | ||||
\(965\) | 5.67895 | + | 9.83623i | 0.182812 | + | 0.316640i | ||||
\(966\) | 38.2331 | − | 3.88161i | 1.23013 | − | 0.124889i | ||||
\(967\) | − | 11.5256i | − | 0.370639i | −0.982678 | − | 0.185320i | \(-0.940668\pi\) | ||
0.982678 | − | 0.185320i | \(-0.0593321\pi\) | |||||||
\(968\) | −26.3372 | −0.846510 | ||||||||
\(969\) | 44.9390 | + | 26.8117i | 1.44365 | + | 0.861315i | ||||
\(970\) | 2.88871 | + | 1.66780i | 0.0927509 | + | 0.0535498i | ||||
\(971\) | −49.9796 | −1.60392 | −0.801962 | − | 0.597376i | \(-0.796210\pi\) | ||||
−0.801962 | + | 0.597376i | \(0.796210\pi\) | |||||||
\(972\) | 1.11632 | − | 15.5484i | 0.0358060 | − | 0.498716i | ||||
\(973\) | 3.28985 | + | 28.3535i | 0.105468 | + | 0.908973i | ||||
\(974\) | − | 5.59837i | − | 0.179383i | ||||||
\(975\) | −25.0560 | + | 14.6995i | −0.802434 | + | 0.470762i | ||||
\(976\) | 0.0871190 | + | 0.0502982i | 0.00278861 | + | 0.00161000i | ||||
\(977\) | 4.37679 | 0.140026 | 0.0700129 | − | 0.997546i | \(-0.477696\pi\) | ||||
0.0700129 | + | 0.997546i | \(0.477696\pi\) | |||||||
\(978\) | 9.31629 | + | 0.133555i | 0.297902 | + | 0.00427062i | ||||
\(979\) | −21.7934 | − | 12.5824i | −0.696520 | − | 0.402136i | ||||
\(980\) | −3.00987 | + | 2.83009i | −0.0961467 | + | 0.0904041i | ||||
\(981\) | −45.4059 | + | 24.5072i | −1.44970 | + | 0.782455i | ||||
\(982\) | 0.521341i | 0.0166367i | ||||||||
\(983\) | 22.4448 | + | 12.9585i | 0.715879 | + | 0.413313i | 0.813234 | − | 0.581937i | \(-0.197705\pi\) |
−0.0973553 | + | 0.995250i | \(0.531038\pi\) | |||||||
\(984\) | −1.39789 | + | 2.34300i | −0.0445630 | + | 0.0746920i | ||||
\(985\) | 4.06153 | + | 2.34492i | 0.129411 | + | 0.0747155i | ||||
\(986\) | −10.6429 | + | 6.14469i | −0.338940 | + | 0.195687i | ||||
\(987\) | −26.0355 | + | 2.64325i | −0.828719 | + | 0.0841356i | ||||
\(988\) | 6.85852 | − | 12.4860i | 0.218199 | − | 0.397231i | ||||
\(989\) | 42.2205 | − | 24.3760i | 1.34254 | − | 0.775113i | ||||
\(990\) | −9.21078 | − | 5.67596i | −0.292738 | − | 0.180394i | ||||
\(991\) | 23.1574 | 0.735620 | 0.367810 | − | 0.929901i | \(-0.380108\pi\) | ||||
0.367810 | + | 0.929901i | \(0.380108\pi\) | |||||||
\(992\) | −2.77932 | −0.0882435 | ||||||||
\(993\) | 12.3018 | + | 22.0307i | 0.390385 | + | 0.699123i | ||||
\(994\) | 1.83954 | − | 4.25467i | 0.0583466 | − | 0.134950i | ||||
\(995\) | 5.55329 | − | 9.61859i | 0.176051 | − | 0.304930i | ||||
\(996\) | −8.05305 | + | 13.4977i | −0.255171 | + | 0.427691i | ||||
\(997\) | 8.34585 | − | 4.81848i | 0.264316 | − | 0.152603i | −0.361986 | − | 0.932184i | \(-0.617901\pi\) |
0.626302 | + | 0.779581i | \(0.284568\pi\) | |||||||
\(998\) | − | 33.4405i | − | 1.05854i | ||||||
\(999\) | 6.21708 | − | 9.77242i | 0.196700 | − | 0.309186i |
(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 | 546.2.bn.f.101.5 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.e.101.13 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bi.e.257.9 | yes | 34 | ||
13.4 | even | 6 | 546.2.bi.f.17.14 | yes | 34 | ||
21.5 | even | 6 | 546.2.bi.f.257.14 | yes | 34 | ||
39.17 | odd | 6 | 546.2.bi.e.17.9 | ✓ | 34 | ||
91.82 | odd | 6 | 546.2.bn.e.173.13 | yes | 34 | ||
273.173 | even | 6 | inner | 546.2.bn.f.173.5 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.9 | ✓ | 34 | 39.17 | odd | 6 | ||
546.2.bi.e.257.9 | yes | 34 | 7.5 | odd | 6 | ||
546.2.bi.f.17.14 | yes | 34 | 13.4 | even | 6 | ||
546.2.bi.f.257.14 | yes | 34 | 21.5 | even | 6 | ||
546.2.bn.e.101.13 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bn.e.173.13 | yes | 34 | 91.82 | odd | 6 | ||
546.2.bn.f.101.5 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.f.173.5 | yes | 34 | 273.173 | even | 6 | inner |