Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [66,2,Mod(25,66)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(66, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("66.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 66 = 2 \cdot 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 66.e (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: | \(0.527012653340\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(0.809017 - 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 66.25 |
Dual form | 66.2.e.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/66\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 3.11803 | + | 2.26538i | 1.39443 | + | 1.01311i | 0.995363 | + | 0.0961876i | \(0.0306649\pi\) |
0.399064 | + | 0.916923i | \(0.369335\pi\) | |||||||
\(6\) | 0.809017 | + | 0.587785i | 0.330280 | + | 0.239962i | ||||
\(7\) | 0.736068 | − | 2.26538i | 0.278208 | − | 0.856235i | −0.710145 | − | 0.704055i | \(-0.751371\pi\) |
0.988353 | − | 0.152180i | \(-0.0486292\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | −3.85410 | −1.21877 | ||||||||
\(11\) | −3.23607 | + | 0.726543i | −0.975711 | + | 0.219061i | ||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | −1.00000 | + | 0.726543i | −0.277350 | + | 0.201507i | −0.717761 | − | 0.696290i | \(-0.754833\pi\) |
0.440411 | + | 0.897796i | \(0.354833\pi\) | |||||||
\(14\) | 0.736068 | + | 2.26538i | 0.196722 | + | 0.605449i | ||||
\(15\) | 1.19098 | − | 3.66547i | 0.307510 | − | 0.946420i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −5.23607 | − | 3.80423i | −1.26993 | − | 0.922660i | −0.270733 | − | 0.962654i | \(-0.587266\pi\) |
−0.999200 | + | 0.0399941i | \(0.987266\pi\) | |||||||
\(18\) | 0.309017 | − | 0.951057i | 0.0728360 | − | 0.224166i | ||||
\(19\) | 0.381966 | + | 1.17557i | 0.0876290 | + | 0.269694i | 0.985263 | − | 0.171048i | \(-0.0547153\pi\) |
−0.897634 | + | 0.440742i | \(0.854715\pi\) | |||||||
\(20\) | 3.11803 | − | 2.26538i | 0.697214 | − | 0.506555i | ||||
\(21\) | −2.38197 | −0.519788 | ||||||||
\(22\) | 2.19098 | − | 2.48990i | 0.467119 | − | 0.530848i | ||||
\(23\) | 1.23607 | 0.257738 | 0.128869 | − | 0.991662i | \(-0.458865\pi\) | ||||
0.128869 | + | 0.991662i | \(0.458865\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | 3.04508 | + | 9.37181i | 0.609017 | + | 1.87436i | ||||
\(26\) | 0.381966 | − | 1.17557i | 0.0749097 | − | 0.230548i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | −1.92705 | − | 1.40008i | −0.364178 | − | 0.264591i | ||||
\(29\) | −0.809017 | + | 2.48990i | −0.150231 | + | 0.462363i | −0.997646 | − | 0.0685673i | \(-0.978157\pi\) |
0.847416 | + | 0.530930i | \(0.178157\pi\) | |||||||
\(30\) | 1.19098 | + | 3.66547i | 0.217443 | + | 0.669220i | ||||
\(31\) | −5.16312 | + | 3.75123i | −0.927324 | + | 0.673740i | −0.945336 | − | 0.326098i | \(-0.894266\pi\) |
0.0180125 | + | 0.999838i | \(0.494266\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.69098 | + | 2.85317i | 0.294362 | + | 0.496673i | ||||
\(34\) | 6.47214 | 1.10996 | ||||||||
\(35\) | 7.42705 | − | 5.39607i | 1.25540 | − | 0.912102i | ||||
\(36\) | 0.309017 | + | 0.951057i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 3.23607 | − | 9.95959i | 0.532006 | − | 1.63735i | −0.218024 | − | 0.975943i | \(-0.569961\pi\) |
0.750030 | − | 0.661404i | \(-0.230039\pi\) | |||||||
\(38\) | −1.00000 | − | 0.726543i | −0.162221 | − | 0.117861i | ||||
\(39\) | 1.00000 | + | 0.726543i | 0.160128 | + | 0.116340i | ||||
\(40\) | −1.19098 | + | 3.66547i | −0.188311 | + | 0.579562i | ||||
\(41\) | 0.381966 | + | 1.17557i | 0.0596531 | + | 0.183593i | 0.976443 | − | 0.215778i | \(-0.0692286\pi\) |
−0.916789 | + | 0.399371i | \(0.869229\pi\) | |||||||
\(42\) | 1.92705 | − | 1.40008i | 0.297350 | − | 0.216038i | ||||
\(43\) | 1.23607 | 0.188499 | 0.0942493 | − | 0.995549i | \(-0.469955\pi\) | ||||
0.0942493 | + | 0.995549i | \(0.469955\pi\) | |||||||
\(44\) | −0.309017 | + | 3.30220i | −0.0465861 | + | 0.497825i | ||||
\(45\) | −3.85410 | −0.574536 | ||||||||
\(46\) | −1.00000 | + | 0.726543i | −0.147442 | + | 0.107123i | ||||
\(47\) | −2.00000 | − | 6.15537i | −0.291730 | − | 0.897853i | −0.984300 | − | 0.176502i | \(-0.943522\pi\) |
0.692570 | − | 0.721350i | \(-0.256478\pi\) | |||||||
\(48\) | −0.309017 | + | 0.951057i | −0.0446028 | + | 0.137273i | ||||
\(49\) | 1.07295 | + | 0.779543i | 0.153278 | + | 0.111363i | ||||
\(50\) | −7.97214 | − | 5.79210i | −1.12743 | − | 0.819126i | ||||
\(51\) | −2.00000 | + | 6.15537i | −0.280056 | + | 0.861924i | ||||
\(52\) | 0.381966 | + | 1.17557i | 0.0529692 | + | 0.163022i | ||||
\(53\) | −2.30902 | + | 1.67760i | −0.317168 | + | 0.230436i | −0.734966 | − | 0.678104i | \(-0.762802\pi\) |
0.417798 | + | 0.908540i | \(0.362802\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −11.7361 | − | 5.06555i | −1.58249 | − | 0.683039i | ||||
\(56\) | 2.38197 | 0.318304 | ||||||||
\(57\) | 1.00000 | − | 0.726543i | 0.132453 | − | 0.0962329i | ||||
\(58\) | −0.809017 | − | 2.48990i | −0.106229 | − | 0.326940i | ||||
\(59\) | 0.881966 | − | 2.71441i | 0.114822 | − | 0.353386i | −0.877088 | − | 0.480330i | \(-0.840517\pi\) |
0.991910 | + | 0.126944i | \(0.0405168\pi\) | |||||||
\(60\) | −3.11803 | − | 2.26538i | −0.402536 | − | 0.292460i | ||||
\(61\) | 9.09017 | + | 6.60440i | 1.16388 | + | 0.845606i | 0.990263 | − | 0.139208i | \(-0.0444556\pi\) |
0.173614 | + | 0.984814i | \(0.444456\pi\) | |||||||
\(62\) | 1.97214 | − | 6.06961i | 0.250462 | − | 0.770841i | ||||
\(63\) | 0.736068 | + | 2.26538i | 0.0927358 | + | 0.285412i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −4.76393 | −0.590893 | ||||||||
\(66\) | −3.04508 | − | 1.31433i | −0.374824 | − | 0.161783i | ||||
\(67\) | 4.00000 | 0.488678 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(68\) | −5.23607 | + | 3.80423i | −0.634967 | + | 0.461330i | ||||
\(69\) | −0.381966 | − | 1.17557i | −0.0459833 | − | 0.141522i | ||||
\(70\) | −2.83688 | + | 8.73102i | −0.339072 | + | 1.04356i | ||||
\(71\) | −2.85410 | − | 2.07363i | −0.338720 | − | 0.246094i | 0.405402 | − | 0.914139i | \(-0.367132\pi\) |
−0.744121 | + | 0.668044i | \(0.767132\pi\) | |||||||
\(72\) | −0.809017 | − | 0.587785i | −0.0953436 | − | 0.0692712i | ||||
\(73\) | 1.33688 | − | 4.11450i | 0.156470 | − | 0.481565i | −0.841837 | − | 0.539732i | \(-0.818526\pi\) |
0.998307 | + | 0.0581668i | \(0.0185255\pi\) | |||||||
\(74\) | 3.23607 | + | 9.95959i | 0.376185 | + | 1.15778i | ||||
\(75\) | 7.97214 | − | 5.79210i | 0.920543 | − | 0.668814i | ||||
\(76\) | 1.23607 | 0.141787 | ||||||||
\(77\) | −0.736068 | + | 7.86572i | −0.0838827 | + | 0.896382i | ||||
\(78\) | −1.23607 | −0.139957 | ||||||||
\(79\) | −5.11803 | + | 3.71847i | −0.575824 | + | 0.418360i | −0.837216 | − | 0.546872i | \(-0.815818\pi\) |
0.261392 | + | 0.965233i | \(0.415818\pi\) | |||||||
\(80\) | −1.19098 | − | 3.66547i | −0.133156 | − | 0.409812i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −1.00000 | − | 0.726543i | −0.110432 | − | 0.0802332i | ||||
\(83\) | 13.2082 | + | 9.59632i | 1.44979 | + | 1.05333i | 0.985881 | + | 0.167450i | \(0.0535532\pi\) |
0.463908 | + | 0.885883i | \(0.346447\pi\) | |||||||
\(84\) | −0.736068 | + | 2.26538i | −0.0803116 | + | 0.247174i | ||||
\(85\) | −7.70820 | − | 23.7234i | −0.836072 | − | 2.57317i | ||||
\(86\) | −1.00000 | + | 0.726543i | −0.107833 | + | 0.0783451i | ||||
\(87\) | 2.61803 | 0.280683 | ||||||||
\(88\) | −1.69098 | − | 2.85317i | −0.180259 | − | 0.304149i | ||||
\(89\) | 1.70820 | 0.181069 | 0.0905346 | − | 0.995893i | \(-0.471142\pi\) | ||||
0.0905346 | + | 0.995893i | \(0.471142\pi\) | |||||||
\(90\) | 3.11803 | − | 2.26538i | 0.328670 | − | 0.238792i | ||||
\(91\) | 0.909830 | + | 2.80017i | 0.0953761 | + | 0.293537i | ||||
\(92\) | 0.381966 | − | 1.17557i | 0.0398227 | − | 0.122562i | ||||
\(93\) | 5.16312 | + | 3.75123i | 0.535390 | + | 0.388984i | ||||
\(94\) | 5.23607 | + | 3.80423i | 0.540059 | + | 0.392376i | ||||
\(95\) | −1.47214 | + | 4.53077i | −0.151038 | + | 0.464847i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 3.50000 | − | 2.54290i | 0.355371 | − | 0.258192i | −0.395748 | − | 0.918359i | \(-0.629515\pi\) |
0.751119 | + | 0.660167i | \(0.229515\pi\) | |||||||
\(98\) | −1.32624 | −0.133970 | ||||||||
\(99\) | 2.19098 | − | 2.48990i | 0.220202 | − | 0.250244i | ||||
\(100\) | 9.85410 | 0.985410 | ||||||||
\(101\) | 11.8262 | − | 8.59226i | 1.17675 | − | 0.854962i | 0.184953 | − | 0.982747i | \(-0.440787\pi\) |
0.991802 | + | 0.127785i | \(0.0407868\pi\) | |||||||
\(102\) | −2.00000 | − | 6.15537i | −0.198030 | − | 0.609472i | ||||
\(103\) | −5.26393 | + | 16.2007i | −0.518671 | + | 1.59630i | 0.257832 | + | 0.966190i | \(0.416992\pi\) |
−0.776502 | + | 0.630114i | \(0.783008\pi\) | |||||||
\(104\) | −1.00000 | − | 0.726543i | −0.0980581 | − | 0.0712434i | ||||
\(105\) | −7.42705 | − | 5.39607i | −0.724806 | − | 0.526602i | ||||
\(106\) | 0.881966 | − | 2.71441i | 0.0856641 | − | 0.263647i | ||||
\(107\) | 2.35410 | + | 7.24518i | 0.227580 | + | 0.700418i | 0.998019 | + | 0.0629054i | \(0.0200366\pi\) |
−0.770440 | + | 0.637513i | \(0.779963\pi\) | |||||||
\(108\) | 0.809017 | − | 0.587785i | 0.0778477 | − | 0.0565597i | ||||
\(109\) | −9.41641 | −0.901928 | −0.450964 | − | 0.892542i | \(-0.648920\pi\) | ||||
−0.450964 | + | 0.892542i | \(0.648920\pi\) | |||||||
\(110\) | 12.4721 | − | 2.80017i | 1.18917 | − | 0.266986i | ||||
\(111\) | −10.4721 | −0.993971 | ||||||||
\(112\) | −1.92705 | + | 1.40008i | −0.182089 | + | 0.132296i | ||||
\(113\) | −1.09017 | − | 3.35520i | −0.102555 | − | 0.315630i | 0.886594 | − | 0.462548i | \(-0.153065\pi\) |
−0.989149 | + | 0.146918i | \(0.953065\pi\) | |||||||
\(114\) | −0.381966 | + | 1.17557i | −0.0357744 | + | 0.110102i | ||||
\(115\) | 3.85410 | + | 2.80017i | 0.359397 | + | 0.261117i | ||||
\(116\) | 2.11803 | + | 1.53884i | 0.196655 | + | 0.142878i | ||||
\(117\) | 0.381966 | − | 1.17557i | 0.0353128 | − | 0.108682i | ||||
\(118\) | 0.881966 | + | 2.71441i | 0.0811916 | + | 0.249882i | ||||
\(119\) | −12.4721 | + | 9.06154i | −1.14332 | + | 0.830670i | ||||
\(120\) | 3.85410 | 0.351830 | ||||||||
\(121\) | 9.94427 | − | 4.70228i | 0.904025 | − | 0.427480i | ||||
\(122\) | −11.2361 | −1.01727 | ||||||||
\(123\) | 1.00000 | − | 0.726543i | 0.0901670 | − | 0.0655101i | ||||
\(124\) | 1.97214 | + | 6.06961i | 0.177103 | + | 0.545067i | ||||
\(125\) | −5.78115 | + | 17.7926i | −0.517082 | + | 1.59141i | ||||
\(126\) | −1.92705 | − | 1.40008i | −0.171675 | − | 0.124729i | ||||
\(127\) | −9.70820 | − | 7.05342i | −0.861464 | − | 0.625890i | 0.0668190 | − | 0.997765i | \(-0.478715\pi\) |
−0.928283 | + | 0.371875i | \(0.878715\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.381966 | − | 1.17557i | −0.0336302 | − | 0.103503i | ||||
\(130\) | 3.85410 | − | 2.80017i | 0.338027 | − | 0.245591i | ||||
\(131\) | 18.2705 | 1.59630 | 0.798151 | − | 0.602458i | \(-0.205812\pi\) | ||||
0.798151 | + | 0.602458i | \(0.205812\pi\) | |||||||
\(132\) | 3.23607 | − | 0.726543i | 0.281664 | − | 0.0632374i | ||||
\(133\) | 2.94427 | 0.255301 | ||||||||
\(134\) | −3.23607 | + | 2.35114i | −0.279554 | + | 0.203108i | ||||
\(135\) | 1.19098 | + | 3.66547i | 0.102503 | + | 0.315473i | ||||
\(136\) | 2.00000 | − | 6.15537i | 0.171499 | − | 0.527818i | ||||
\(137\) | −13.8541 | − | 10.0656i | −1.18364 | − | 0.859962i | −0.191059 | − | 0.981579i | \(-0.561192\pi\) |
−0.992577 | + | 0.121617i | \(0.961192\pi\) | |||||||
\(138\) | 1.00000 | + | 0.726543i | 0.0851257 | + | 0.0618474i | ||||
\(139\) | 2.70820 | − | 8.33499i | 0.229707 | − | 0.706965i | −0.768073 | − | 0.640363i | \(-0.778784\pi\) |
0.997780 | − | 0.0666024i | \(-0.0212159\pi\) | |||||||
\(140\) | −2.83688 | − | 8.73102i | −0.239760 | − | 0.737906i | ||||
\(141\) | −5.23607 | + | 3.80423i | −0.440956 | + | 0.320374i | ||||
\(142\) | 3.52786 | 0.296052 | ||||||||
\(143\) | 2.70820 | − | 3.07768i | 0.226471 | − | 0.257369i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −8.16312 | + | 5.93085i | −0.677910 | + | 0.492531i | ||||
\(146\) | 1.33688 | + | 4.11450i | 0.110641 | + | 0.340518i | ||||
\(147\) | 0.409830 | − | 1.26133i | 0.0338022 | − | 0.104033i | ||||
\(148\) | −8.47214 | − | 6.15537i | −0.696405 | − | 0.505968i | ||||
\(149\) | −2.92705 | − | 2.12663i | −0.239793 | − | 0.174220i | 0.461398 | − | 0.887193i | \(-0.347348\pi\) |
−0.701191 | + | 0.712973i | \(0.747348\pi\) | |||||||
\(150\) | −3.04508 | + | 9.37181i | −0.248630 | + | 0.765205i | ||||
\(151\) | −1.95492 | − | 6.01661i | −0.159089 | − | 0.489625i | 0.839463 | − | 0.543416i | \(-0.182869\pi\) |
−0.998552 | + | 0.0537914i | \(0.982869\pi\) | |||||||
\(152\) | −1.00000 | + | 0.726543i | −0.0811107 | + | 0.0589304i | ||||
\(153\) | 6.47214 | 0.523241 | ||||||||
\(154\) | −4.02786 | − | 6.79615i | −0.324575 | − | 0.547650i | ||||
\(155\) | −24.5967 | −1.97566 | ||||||||
\(156\) | 1.00000 | − | 0.726543i | 0.0800641 | − | 0.0581700i | ||||
\(157\) | −1.38197 | − | 4.25325i | −0.110293 | − | 0.339447i | 0.880643 | − | 0.473780i | \(-0.157111\pi\) |
−0.990936 | + | 0.134333i | \(0.957111\pi\) | |||||||
\(158\) | 1.95492 | − | 6.01661i | 0.155525 | − | 0.478656i | ||||
\(159\) | 2.30902 | + | 1.67760i | 0.183117 | + | 0.133042i | ||||
\(160\) | 3.11803 | + | 2.26538i | 0.246502 | + | 0.179094i | ||||
\(161\) | 0.909830 | − | 2.80017i | 0.0717047 | − | 0.220684i | ||||
\(162\) | 0.309017 | + | 0.951057i | 0.0242787 | + | 0.0747221i | ||||
\(163\) | −10.8541 | + | 7.88597i | −0.850159 | + | 0.617677i | −0.925190 | − | 0.379505i | \(-0.876094\pi\) |
0.0750310 | + | 0.997181i | \(0.476094\pi\) | |||||||
\(164\) | 1.23607 | 0.0965207 | ||||||||
\(165\) | −1.19098 | + | 12.7270i | −0.0927179 | + | 0.990796i | ||||
\(166\) | −16.3262 | −1.26716 | ||||||||
\(167\) | −2.23607 | + | 1.62460i | −0.173032 | + | 0.125715i | −0.670931 | − | 0.741520i | \(-0.734105\pi\) |
0.497899 | + | 0.867235i | \(0.334105\pi\) | |||||||
\(168\) | −0.736068 | − | 2.26538i | −0.0567889 | − | 0.174778i | ||||
\(169\) | −3.54508 | + | 10.9106i | −0.272699 | + | 0.839281i | ||||
\(170\) | 20.1803 | + | 14.6619i | 1.54776 | + | 1.12451i | ||||
\(171\) | −1.00000 | − | 0.726543i | −0.0764719 | − | 0.0555601i | ||||
\(172\) | 0.381966 | − | 1.17557i | 0.0291246 | − | 0.0896364i | ||||
\(173\) | −3.35410 | − | 10.3229i | −0.255008 | − | 0.784833i | −0.993828 | − | 0.110931i | \(-0.964617\pi\) |
0.738821 | − | 0.673902i | \(-0.235383\pi\) | |||||||
\(174\) | −2.11803 | + | 1.53884i | −0.160568 | + | 0.116659i | ||||
\(175\) | 23.4721 | 1.77433 | ||||||||
\(176\) | 3.04508 | + | 1.31433i | 0.229532 | + | 0.0990712i | ||||
\(177\) | −2.85410 | −0.214527 | ||||||||
\(178\) | −1.38197 | + | 1.00406i | −0.103583 | + | 0.0752573i | ||||
\(179\) | −2.66312 | − | 8.19624i | −0.199051 | − | 0.612616i | −0.999905 | − | 0.0137566i | \(-0.995621\pi\) |
0.800855 | − | 0.598859i | \(-0.204379\pi\) | |||||||
\(180\) | −1.19098 | + | 3.66547i | −0.0887706 | + | 0.273208i | ||||
\(181\) | 6.09017 | + | 4.42477i | 0.452679 | + | 0.328890i | 0.790652 | − | 0.612265i | \(-0.209742\pi\) |
−0.337974 | + | 0.941156i | \(0.609742\pi\) | |||||||
\(182\) | −2.38197 | − | 1.73060i | −0.176563 | − | 0.128281i | ||||
\(183\) | 3.47214 | − | 10.6861i | 0.256668 | − | 0.789942i | ||||
\(184\) | 0.381966 | + | 1.17557i | 0.0281589 | + | 0.0866642i | ||||
\(185\) | 32.6525 | − | 23.7234i | 2.40066 | − | 1.74418i | ||||
\(186\) | −6.38197 | −0.467948 | ||||||||
\(187\) | 19.7082 | + | 8.50651i | 1.44121 | + | 0.622057i | ||||
\(188\) | −6.47214 | −0.472029 | ||||||||
\(189\) | 1.92705 | − | 1.40008i | 0.140172 | − | 0.101841i | ||||
\(190\) | −1.47214 | − | 4.53077i | −0.106800 | − | 0.328697i | ||||
\(191\) | 4.18034 | − | 12.8658i | 0.302479 | − | 0.930934i | −0.678127 | − | 0.734945i | \(-0.737208\pi\) |
0.980606 | − | 0.195989i | \(-0.0627918\pi\) | |||||||
\(192\) | 0.809017 | + | 0.587785i | 0.0583858 | + | 0.0424197i | ||||
\(193\) | 12.3992 | + | 9.00854i | 0.892513 | + | 0.648449i | 0.936532 | − | 0.350582i | \(-0.114016\pi\) |
−0.0440190 | + | 0.999031i | \(0.514016\pi\) | |||||||
\(194\) | −1.33688 | + | 4.11450i | −0.0959825 | + | 0.295404i | ||||
\(195\) | 1.47214 | + | 4.53077i | 0.105422 | + | 0.324455i | ||||
\(196\) | 1.07295 | − | 0.779543i | 0.0766392 | − | 0.0556816i | ||||
\(197\) | −5.09017 | −0.362660 | −0.181330 | − | 0.983422i | \(-0.558040\pi\) | ||||
−0.181330 | + | 0.983422i | \(0.558040\pi\) | |||||||
\(198\) | −0.309017 | + | 3.30220i | −0.0219609 | + | 0.234677i | ||||
\(199\) | 19.8541 | 1.40742 | 0.703710 | − | 0.710487i | \(-0.251525\pi\) | ||||
0.703710 | + | 0.710487i | \(0.251525\pi\) | |||||||
\(200\) | −7.97214 | + | 5.79210i | −0.563715 | + | 0.409563i | ||||
\(201\) | −1.23607 | − | 3.80423i | −0.0871855 | − | 0.268329i | ||||
\(202\) | −4.51722 | + | 13.9026i | −0.317831 | + | 0.978182i | ||||
\(203\) | 5.04508 | + | 3.66547i | 0.354096 | + | 0.257265i | ||||
\(204\) | 5.23607 | + | 3.80423i | 0.366598 | + | 0.266349i | ||||
\(205\) | −1.47214 | + | 4.53077i | −0.102818 | + | 0.316443i | ||||
\(206\) | −5.26393 | − | 16.2007i | −0.366756 | − | 1.12876i | ||||
\(207\) | −1.00000 | + | 0.726543i | −0.0695048 | + | 0.0504982i | ||||
\(208\) | 1.23607 | 0.0857059 | ||||||||
\(209\) | −2.09017 | − | 3.52671i | −0.144580 | − | 0.243948i | ||||
\(210\) | 9.18034 | 0.633504 | ||||||||
\(211\) | −21.5623 | + | 15.6659i | −1.48441 | + | 1.07849i | −0.508308 | + | 0.861175i | \(0.669729\pi\) |
−0.976102 | + | 0.217312i | \(0.930271\pi\) | |||||||
\(212\) | 0.881966 | + | 2.71441i | 0.0605737 | + | 0.186427i | ||||
\(213\) | −1.09017 | + | 3.35520i | −0.0746972 | + | 0.229894i | ||||
\(214\) | −6.16312 | − | 4.47777i | −0.421302 | − | 0.306094i | ||||
\(215\) | 3.85410 | + | 2.80017i | 0.262848 | + | 0.190970i | ||||
\(216\) | −0.309017 | + | 0.951057i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 4.69756 | + | 14.4576i | 0.318891 | + | 0.981446i | ||||
\(218\) | 7.61803 | − | 5.53483i | 0.515958 | − | 0.374866i | ||||
\(219\) | −4.32624 | −0.292340 | ||||||||
\(220\) | −8.44427 | + | 9.59632i | −0.569313 | + | 0.646984i | ||||
\(221\) | 8.00000 | 0.538138 | ||||||||
\(222\) | 8.47214 | − | 6.15537i | 0.568613 | − | 0.413121i | ||||
\(223\) | −4.04508 | − | 12.4495i | −0.270879 | − | 0.833680i | −0.990280 | − | 0.139085i | \(-0.955584\pi\) |
0.719402 | − | 0.694594i | \(-0.244416\pi\) | |||||||
\(224\) | 0.736068 | − | 2.26538i | 0.0491806 | − | 0.151362i | ||||
\(225\) | −7.97214 | − | 5.79210i | −0.531476 | − | 0.386140i | ||||
\(226\) | 2.85410 | + | 2.07363i | 0.189852 | + | 0.137936i | ||||
\(227\) | −4.28115 | + | 13.1760i | −0.284150 | + | 0.874524i | 0.702502 | + | 0.711682i | \(0.252066\pi\) |
−0.986652 | + | 0.162842i | \(0.947934\pi\) | |||||||
\(228\) | −0.381966 | − | 1.17557i | −0.0252963 | − | 0.0778541i | ||||
\(229\) | −4.09017 | + | 2.97168i | −0.270286 | + | 0.196374i | −0.714669 | − | 0.699462i | \(-0.753423\pi\) |
0.444383 | + | 0.895837i | \(0.353423\pi\) | |||||||
\(230\) | −4.76393 | −0.314124 | ||||||||
\(231\) | 7.70820 | − | 1.73060i | 0.507163 | − | 0.113865i | ||||
\(232\) | −2.61803 | −0.171882 | ||||||||
\(233\) | −7.23607 | + | 5.25731i | −0.474051 | + | 0.344418i | −0.799018 | − | 0.601307i | \(-0.794647\pi\) |
0.324967 | + | 0.945725i | \(0.394647\pi\) | |||||||
\(234\) | 0.381966 | + | 1.17557i | 0.0249699 | + | 0.0768494i | ||||
\(235\) | 7.70820 | − | 23.7234i | 0.502828 | − | 1.54754i | ||||
\(236\) | −2.30902 | − | 1.67760i | −0.150304 | − | 0.109202i | ||||
\(237\) | 5.11803 | + | 3.71847i | 0.332452 | + | 0.241541i | ||||
\(238\) | 4.76393 | − | 14.6619i | 0.308800 | − | 0.950388i | ||||
\(239\) | −2.32624 | − | 7.15942i | −0.150472 | − | 0.463105i | 0.847202 | − | 0.531271i | \(-0.178285\pi\) |
−0.997674 | + | 0.0681660i | \(0.978285\pi\) | |||||||
\(240\) | −3.11803 | + | 2.26538i | −0.201268 | + | 0.146230i | ||||
\(241\) | −22.5623 | −1.45337 | −0.726683 | − | 0.686973i | \(-0.758939\pi\) | ||||
−0.726683 | + | 0.686973i | \(0.758939\pi\) | |||||||
\(242\) | −5.28115 | + | 9.64932i | −0.339485 | + | 0.620282i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 9.09017 | − | 6.60440i | 0.581938 | − | 0.422803i | ||||
\(245\) | 1.57953 | + | 4.86128i | 0.100912 | + | 0.310576i | ||||
\(246\) | −0.381966 | + | 1.17557i | −0.0243533 | + | 0.0749516i | ||||
\(247\) | −1.23607 | − | 0.898056i | −0.0786491 | − | 0.0571419i | ||||
\(248\) | −5.16312 | − | 3.75123i | −0.327858 | − | 0.238203i | ||||
\(249\) | 5.04508 | − | 15.5272i | 0.319719 | − | 0.983995i | ||||
\(250\) | −5.78115 | − | 17.7926i | −0.365632 | − | 1.12530i | ||||
\(251\) | 2.97214 | − | 2.15938i | 0.187600 | − | 0.136299i | −0.490021 | − | 0.871710i | \(-0.663011\pi\) |
0.677621 | + | 0.735411i | \(0.263011\pi\) | |||||||
\(252\) | 2.38197 | 0.150050 | ||||||||
\(253\) | −4.00000 | + | 0.898056i | −0.251478 | + | 0.0564603i | ||||
\(254\) | 12.0000 | 0.752947 | ||||||||
\(255\) | −20.1803 | + | 14.6619i | −1.26374 | + | 0.918162i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −7.47214 | + | 22.9969i | −0.466099 | + | 1.43451i | 0.391496 | + | 0.920180i | \(0.371958\pi\) |
−0.857595 | + | 0.514326i | \(0.828042\pi\) | |||||||
\(258\) | 1.00000 | + | 0.726543i | 0.0622573 | + | 0.0452326i | ||||
\(259\) | −20.1803 | − | 14.6619i | −1.25395 | − | 0.911045i | ||||
\(260\) | −1.47214 | + | 4.53077i | −0.0912980 | + | 0.280986i | ||||
\(261\) | −0.809017 | − | 2.48990i | −0.0500769 | − | 0.154121i | ||||
\(262\) | −14.7812 | + | 10.7391i | −0.913183 | + | 0.663466i | ||||
\(263\) | −5.70820 | −0.351983 | −0.175991 | − | 0.984392i | \(-0.556313\pi\) | ||||
−0.175991 | + | 0.984392i | \(0.556313\pi\) | |||||||
\(264\) | −2.19098 | + | 2.48990i | −0.134846 | + | 0.153243i | ||||
\(265\) | −11.0000 | −0.675725 | ||||||||
\(266\) | −2.38197 | + | 1.73060i | −0.146048 | + | 0.106110i | ||||
\(267\) | −0.527864 | − | 1.62460i | −0.0323048 | − | 0.0994238i | ||||
\(268\) | 1.23607 | − | 3.80423i | 0.0755049 | − | 0.232380i | ||||
\(269\) | −12.0902 | − | 8.78402i | −0.737151 | − | 0.535571i | 0.154667 | − | 0.987967i | \(-0.450570\pi\) |
−0.891817 | + | 0.452395i | \(0.850570\pi\) | |||||||
\(270\) | −3.11803 | − | 2.26538i | −0.189758 | − | 0.137867i | ||||
\(271\) | −1.05573 | + | 3.24920i | −0.0641309 | + | 0.197375i | −0.977988 | − | 0.208662i | \(-0.933089\pi\) |
0.913857 | + | 0.406036i | \(0.133089\pi\) | |||||||
\(272\) | 2.00000 | + | 6.15537i | 0.121268 | + | 0.373224i | ||||
\(273\) | 2.38197 | − | 1.73060i | 0.144163 | − | 0.104741i | ||||
\(274\) | 17.1246 | 1.03454 | ||||||||
\(275\) | −16.6631 | − | 28.1154i | −1.00482 | − | 1.69542i | ||||
\(276\) | −1.23607 | −0.0744025 | ||||||||
\(277\) | 23.5623 | − | 17.1190i | 1.41572 | − | 1.02858i | 0.423262 | − | 0.906007i | \(-0.360885\pi\) |
0.992459 | − | 0.122575i | \(-0.0391152\pi\) | |||||||
\(278\) | 2.70820 | + | 8.33499i | 0.162427 | + | 0.499900i | ||||
\(279\) | 1.97214 | − | 6.06961i | 0.118069 | − | 0.363378i | ||||
\(280\) | 7.42705 | + | 5.39607i | 0.443851 | + | 0.322477i | ||||
\(281\) | 13.8541 | + | 10.0656i | 0.826466 | + | 0.600463i | 0.918557 | − | 0.395288i | \(-0.129355\pi\) |
−0.0920910 | + | 0.995751i | \(0.529355\pi\) | |||||||
\(282\) | 2.00000 | − | 6.15537i | 0.119098 | − | 0.366547i | ||||
\(283\) | 3.67376 | + | 11.3067i | 0.218382 | + | 0.672112i | 0.998896 | + | 0.0469734i | \(0.0149576\pi\) |
−0.780514 | + | 0.625139i | \(0.785042\pi\) | |||||||
\(284\) | −2.85410 | + | 2.07363i | −0.169360 | + | 0.123047i | ||||
\(285\) | 4.76393 | 0.282191 | ||||||||
\(286\) | −0.381966 | + | 4.08174i | −0.0225861 | + | 0.241358i | ||||
\(287\) | 2.94427 | 0.173795 | ||||||||
\(288\) | −0.809017 | + | 0.587785i | −0.0476718 | + | 0.0346356i | ||||
\(289\) | 7.69098 | + | 23.6704i | 0.452411 | + | 1.39238i | ||||
\(290\) | 3.11803 | − | 9.59632i | 0.183097 | − | 0.563515i | ||||
\(291\) | −3.50000 | − | 2.54290i | −0.205174 | − | 0.149067i | ||||
\(292\) | −3.50000 | − | 2.54290i | −0.204822 | − | 0.148812i | ||||
\(293\) | −7.40983 | + | 22.8051i | −0.432887 | + | 1.33229i | 0.462350 | + | 0.886698i | \(0.347006\pi\) |
−0.895237 | + | 0.445591i | \(0.852994\pi\) | |||||||
\(294\) | 0.409830 | + | 1.26133i | 0.0239018 | + | 0.0735621i | ||||
\(295\) | 8.89919 | − | 6.46564i | 0.518131 | − | 0.376444i | ||||
\(296\) | 10.4721 | 0.608681 | ||||||||
\(297\) | −3.04508 | − | 1.31433i | −0.176694 | − | 0.0762650i | ||||
\(298\) | 3.61803 | 0.209587 | ||||||||
\(299\) | −1.23607 | + | 0.898056i | −0.0714837 | + | 0.0519359i | ||||
\(300\) | −3.04508 | − | 9.37181i | −0.175808 | − | 0.541082i | ||||
\(301\) | 0.909830 | − | 2.80017i | 0.0524417 | − | 0.161399i | ||||
\(302\) | 5.11803 | + | 3.71847i | 0.294510 | + | 0.213974i | ||||
\(303\) | −11.8262 | − | 8.59226i | −0.679400 | − | 0.493613i | ||||
\(304\) | 0.381966 | − | 1.17557i | 0.0219073 | − | 0.0674236i | ||||
\(305\) | 13.3820 | + | 41.1855i | 0.766249 | + | 2.35827i | ||||
\(306\) | −5.23607 | + | 3.80423i | −0.299326 | + | 0.217473i | ||||
\(307\) | 14.6525 | 0.836261 | 0.418130 | − | 0.908387i | \(-0.362685\pi\) | ||||
0.418130 | + | 0.908387i | \(0.362685\pi\) | |||||||
\(308\) | 7.25329 | + | 3.13068i | 0.413294 | + | 0.178387i | ||||
\(309\) | 17.0344 | 0.969056 | ||||||||
\(310\) | 19.8992 | − | 14.4576i | 1.13020 | − | 0.821137i | ||||
\(311\) | 3.67376 | + | 11.3067i | 0.208320 | + | 0.641143i | 0.999561 | + | 0.0296381i | \(0.00943548\pi\) |
−0.791241 | + | 0.611505i | \(0.790565\pi\) | |||||||
\(312\) | −0.381966 | + | 1.17557i | −0.0216246 | + | 0.0665536i | ||||
\(313\) | −17.6803 | − | 12.8455i | −0.999352 | − | 0.726072i | −0.0374028 | − | 0.999300i | \(-0.511908\pi\) |
−0.961949 | + | 0.273229i | \(0.911908\pi\) | |||||||
\(314\) | 3.61803 | + | 2.62866i | 0.204177 | + | 0.148344i | ||||
\(315\) | −2.83688 | + | 8.73102i | −0.159840 | + | 0.491937i | ||||
\(316\) | 1.95492 | + | 6.01661i | 0.109973 | + | 0.338461i | ||||
\(317\) | −12.8541 | + | 9.33905i | −0.721958 | + | 0.524533i | −0.887009 | − | 0.461752i | \(-0.847221\pi\) |
0.165051 | + | 0.986285i | \(0.447221\pi\) | |||||||
\(318\) | −2.85410 | −0.160050 | ||||||||
\(319\) | 0.809017 | − | 8.64527i | 0.0452963 | − | 0.484042i | ||||
\(320\) | −3.85410 | −0.215451 | ||||||||
\(321\) | 6.16312 | − | 4.47777i | 0.343992 | − | 0.249925i | ||||
\(322\) | 0.909830 | + | 2.80017i | 0.0507028 | + | 0.156047i | ||||
\(323\) | 2.47214 | − | 7.60845i | 0.137553 | − | 0.423346i | ||||
\(324\) | −0.809017 | − | 0.587785i | −0.0449454 | − | 0.0326547i | ||||
\(325\) | −9.85410 | − | 7.15942i | −0.546607 | − | 0.397133i | ||||
\(326\) | 4.14590 | − | 12.7598i | 0.229620 | − | 0.706698i | ||||
\(327\) | 2.90983 | + | 8.95554i | 0.160914 | + | 0.495242i | ||||
\(328\) | −1.00000 | + | 0.726543i | −0.0552158 | + | 0.0401166i | ||||
\(329\) | −15.4164 | −0.849934 | ||||||||
\(330\) | −6.51722 | − | 10.9964i | −0.358761 | − | 0.605332i | ||||
\(331\) | −8.94427 | −0.491622 | −0.245811 | − | 0.969318i | \(-0.579054\pi\) | ||||
−0.245811 | + | 0.969318i | \(0.579054\pi\) | |||||||
\(332\) | 13.2082 | − | 9.59632i | 0.724894 | − | 0.526667i | ||||
\(333\) | 3.23607 | + | 9.95959i | 0.177335 | + | 0.545782i | ||||
\(334\) | 0.854102 | − | 2.62866i | 0.0467344 | − | 0.143834i | ||||
\(335\) | 12.4721 | + | 9.06154i | 0.681426 | + | 0.495085i | ||||
\(336\) | 1.92705 | + | 1.40008i | 0.105129 | + | 0.0763809i | ||||
\(337\) | −3.38197 | + | 10.4086i | −0.184227 | + | 0.566994i | −0.999934 | − | 0.0114719i | \(-0.996348\pi\) |
0.815707 | + | 0.578466i | \(0.196348\pi\) | |||||||
\(338\) | −3.54508 | − | 10.9106i | −0.192827 | − | 0.593461i | ||||
\(339\) | −2.85410 | + | 2.07363i | −0.155014 | + | 0.112624i | ||||
\(340\) | −24.9443 | −1.35279 | ||||||||
\(341\) | 13.9828 | − | 15.8904i | 0.757210 | − | 0.860516i | ||||
\(342\) | 1.23607 | 0.0668389 | ||||||||
\(343\) | 16.0451 | − | 11.6574i | 0.866353 | − | 0.629442i | ||||
\(344\) | 0.381966 | + | 1.17557i | 0.0205942 | + | 0.0633825i | ||||
\(345\) | 1.47214 | − | 4.53077i | 0.0792571 | − | 0.243928i | ||||
\(346\) | 8.78115 | + | 6.37988i | 0.472078 | + | 0.342985i | ||||
\(347\) | −4.16312 | − | 3.02468i | −0.223488 | − | 0.162373i | 0.470407 | − | 0.882449i | \(-0.344107\pi\) |
−0.693895 | + | 0.720076i | \(0.744107\pi\) | |||||||
\(348\) | 0.809017 | − | 2.48990i | 0.0433679 | − | 0.133473i | ||||
\(349\) | −2.70820 | − | 8.33499i | −0.144967 | − | 0.446162i | 0.852040 | − | 0.523477i | \(-0.175365\pi\) |
−0.997007 | + | 0.0773148i | \(0.975365\pi\) | |||||||
\(350\) | −18.9894 | + | 13.7966i | −1.01502 | + | 0.737458i | ||||
\(351\) | −1.23607 | −0.0659764 | ||||||||
\(352\) | −3.23607 | + | 0.726543i | −0.172483 | + | 0.0387248i | ||||
\(353\) | 27.5967 | 1.46883 | 0.734413 | − | 0.678702i | \(-0.237457\pi\) | ||||
0.734413 | + | 0.678702i | \(0.237457\pi\) | |||||||
\(354\) | 2.30902 | − | 1.67760i | 0.122723 | − | 0.0891634i | ||||
\(355\) | −4.20163 | − | 12.9313i | −0.222999 | − | 0.686321i | ||||
\(356\) | 0.527864 | − | 1.62460i | 0.0279767 | − | 0.0861035i | ||||
\(357\) | 12.4721 | + | 9.06154i | 0.660095 | + | 0.479587i | ||||
\(358\) | 6.97214 | + | 5.06555i | 0.368489 | + | 0.267723i | ||||
\(359\) | 5.32624 | − | 16.3925i | 0.281108 | − | 0.865162i | −0.706430 | − | 0.707783i | \(-0.749696\pi\) |
0.987538 | − | 0.157379i | \(-0.0503044\pi\) | |||||||
\(360\) | −1.19098 | − | 3.66547i | −0.0627703 | − | 0.193187i | ||||
\(361\) | 14.1353 | − | 10.2699i | 0.743961 | − | 0.540519i | ||||
\(362\) | −7.52786 | −0.395656 | ||||||||
\(363\) | −7.54508 | − | 8.00448i | −0.396014 | − | 0.420126i | ||||
\(364\) | 2.94427 | 0.154322 | ||||||||
\(365\) | 13.4894 | − | 9.80059i | 0.706065 | − | 0.512986i | ||||
\(366\) | 3.47214 | + | 10.6861i | 0.181491 | + | 0.558573i | ||||
\(367\) | 0.156541 | − | 0.481784i | 0.00817138 | − | 0.0251489i | −0.946888 | − | 0.321564i | \(-0.895791\pi\) |
0.955059 | + | 0.296416i | \(0.0957913\pi\) | |||||||
\(368\) | −1.00000 | − | 0.726543i | −0.0521286 | − | 0.0378736i | ||||
\(369\) | −1.00000 | − | 0.726543i | −0.0520579 | − | 0.0378223i | ||||
\(370\) | −12.4721 | + | 38.3853i | −0.648395 | + | 1.99556i | ||||
\(371\) | 2.10081 | + | 6.46564i | 0.109069 | + | 0.335679i | ||||
\(372\) | 5.16312 | − | 3.75123i | 0.267695 | − | 0.194492i | ||||
\(373\) | −18.4721 | −0.956451 | −0.478225 | − | 0.878237i | \(-0.658720\pi\) | ||||
−0.478225 | + | 0.878237i | \(0.658720\pi\) | |||||||
\(374\) | −20.9443 | + | 4.70228i | −1.08300 | + | 0.243149i | ||||
\(375\) | 18.7082 | 0.966087 | ||||||||
\(376\) | 5.23607 | − | 3.80423i | 0.270030 | − | 0.196188i | ||||
\(377\) | −1.00000 | − | 3.07768i | −0.0515026 | − | 0.158509i | ||||
\(378\) | −0.736068 | + | 2.26538i | −0.0378593 | + | 0.116519i | ||||
\(379\) | 7.85410 | + | 5.70634i | 0.403438 | + | 0.293115i | 0.770940 | − | 0.636908i | \(-0.219787\pi\) |
−0.367502 | + | 0.930023i | \(0.619787\pi\) | |||||||
\(380\) | 3.85410 | + | 2.80017i | 0.197711 | + | 0.143646i | ||||
\(381\) | −3.70820 | + | 11.4127i | −0.189977 | + | 0.584689i | ||||
\(382\) | 4.18034 | + | 12.8658i | 0.213885 | + | 0.658270i | ||||
\(383\) | −7.09017 | + | 5.15131i | −0.362291 | + | 0.263220i | −0.754007 | − | 0.656866i | \(-0.771882\pi\) |
0.391716 | + | 0.920086i | \(0.371882\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −20.1140 | + | 22.8581i | −1.02510 | + | 1.16496i | ||||
\(386\) | −15.3262 | −0.780085 | ||||||||
\(387\) | −1.00000 | + | 0.726543i | −0.0508329 | + | 0.0369322i | ||||
\(388\) | −1.33688 | − | 4.11450i | −0.0678699 | − | 0.208882i | ||||
\(389\) | 6.50658 | − | 20.0252i | 0.329897 | − | 1.01532i | −0.639285 | − | 0.768970i | \(-0.720770\pi\) |
0.969182 | − | 0.246347i | \(-0.0792304\pi\) | |||||||
\(390\) | −3.85410 | − | 2.80017i | −0.195160 | − | 0.141792i | ||||
\(391\) | −6.47214 | − | 4.70228i | −0.327310 | − | 0.237805i | ||||
\(392\) | −0.409830 | + | 1.26133i | −0.0206995 | + | 0.0637066i | ||||
\(393\) | −5.64590 | − | 17.3763i | −0.284798 | − | 0.876518i | ||||
\(394\) | 4.11803 | − | 2.99193i | 0.207464 | − | 0.150731i | ||||
\(395\) | −24.3820 | −1.22679 | ||||||||
\(396\) | −1.69098 | − | 2.85317i | −0.0849751 | − | 0.143377i | ||||
\(397\) | −25.8885 | −1.29931 | −0.649654 | − | 0.760230i | \(-0.725086\pi\) | ||||
−0.649654 | + | 0.760230i | \(0.725086\pi\) | |||||||
\(398\) | −16.0623 | + | 11.6699i | −0.805131 | + | 0.584962i | ||||
\(399\) | −0.909830 | − | 2.80017i | −0.0455485 | − | 0.140184i | ||||
\(400\) | 3.04508 | − | 9.37181i | 0.152254 | − | 0.468590i | ||||
\(401\) | −19.1803 | − | 13.9353i | −0.957820 | − | 0.695897i | −0.00517693 | − | 0.999987i | \(-0.501648\pi\) |
−0.952644 | + | 0.304089i | \(0.901648\pi\) | |||||||
\(402\) | 3.23607 | + | 2.35114i | 0.161400 | + | 0.117264i | ||||
\(403\) | 2.43769 | − | 7.50245i | 0.121430 | − | 0.373724i | ||||
\(404\) | −4.51722 | − | 13.9026i | −0.224740 | − | 0.691679i | ||||
\(405\) | 3.11803 | − | 2.26538i | 0.154936 | − | 0.112568i | ||||
\(406\) | −6.23607 | −0.309491 | ||||||||
\(407\) | −3.23607 | + | 34.5811i | −0.160406 | + | 1.71412i | ||||
\(408\) | −6.47214 | −0.320418 | ||||||||
\(409\) | 0.736068 | − | 0.534785i | 0.0363962 | − | 0.0264434i | −0.569438 | − | 0.822034i | \(-0.692839\pi\) |
0.605835 | + | 0.795591i | \(0.292839\pi\) | |||||||
\(410\) | −1.47214 | − | 4.53077i | −0.0727036 | − | 0.223759i | ||||
\(411\) | −5.29180 | + | 16.2865i | −0.261025 | + | 0.803353i | ||||
\(412\) | 13.7812 | + | 10.0126i | 0.678949 | + | 0.493285i | ||||
\(413\) | −5.50000 | − | 3.99598i | −0.270637 | − | 0.196630i | ||||
\(414\) | 0.381966 | − | 1.17557i | 0.0187726 | − | 0.0577761i | ||||
\(415\) | 19.4443 | + | 59.8433i | 0.954482 | + | 2.93759i | ||||
\(416\) | −1.00000 | + | 0.726543i | −0.0490290 | + | 0.0356217i | ||||
\(417\) | −8.76393 | −0.429172 | ||||||||
\(418\) | 3.76393 | + | 1.62460i | 0.184100 | + | 0.0794617i | ||||
\(419\) | 28.9787 | 1.41570 | 0.707851 | − | 0.706361i | \(-0.249665\pi\) | ||||
0.707851 | + | 0.706361i | \(0.249665\pi\) | |||||||
\(420\) | −7.42705 | + | 5.39607i | −0.362403 | + | 0.263301i | ||||
\(421\) | −1.58359 | − | 4.87380i | −0.0771796 | − | 0.237534i | 0.905022 | − | 0.425365i | \(-0.139854\pi\) |
−0.982201 | + | 0.187831i | \(0.939854\pi\) | |||||||
\(422\) | 8.23607 | − | 25.3480i | 0.400926 | − | 1.23392i | ||||
\(423\) | 5.23607 | + | 3.80423i | 0.254586 | + | 0.184968i | ||||
\(424\) | −2.30902 | − | 1.67760i | −0.112136 | − | 0.0814714i | ||||
\(425\) | 19.7082 | − | 60.6556i | 0.955988 | − | 2.94223i | ||||
\(426\) | −1.09017 | − | 3.35520i | −0.0528189 | − | 0.162560i | ||||
\(427\) | 21.6525 | − | 15.7314i | 1.04784 | − | 0.761298i | ||||
\(428\) | 7.61803 | 0.368232 | ||||||||
\(429\) | −3.76393 | − | 1.62460i | −0.181724 | − | 0.0784364i | ||||
\(430\) | −4.76393 | −0.229737 | ||||||||
\(431\) | 2.23607 | − | 1.62460i | 0.107708 | − | 0.0782542i | −0.532628 | − | 0.846350i | \(-0.678795\pi\) |
0.640335 | + | 0.768095i | \(0.278795\pi\) | |||||||
\(432\) | −0.309017 | − | 0.951057i | −0.0148676 | − | 0.0457577i | ||||
\(433\) | −1.02786 | + | 3.16344i | −0.0493960 | + | 0.152025i | −0.972712 | − | 0.232016i | \(-0.925468\pi\) |
0.923316 | + | 0.384041i | \(0.125468\pi\) | |||||||
\(434\) | −12.2984 | − | 8.93529i | −0.590341 | − | 0.428908i | ||||
\(435\) | 8.16312 | + | 5.93085i | 0.391392 | + | 0.284363i | ||||
\(436\) | −2.90983 | + | 8.95554i | −0.139356 | + | 0.428892i | ||||
\(437\) | 0.472136 | + | 1.45309i | 0.0225853 | + | 0.0695105i | ||||
\(438\) | 3.50000 | − | 2.54290i | 0.167236 | − | 0.121504i | ||||
\(439\) | −13.0344 | −0.622100 | −0.311050 | − | 0.950394i | \(-0.600681\pi\) | ||||
−0.311050 | + | 0.950394i | \(0.600681\pi\) | |||||||
\(440\) | 1.19098 | − | 12.7270i | 0.0567779 | − | 0.606736i | ||||
\(441\) | −1.32624 | −0.0631542 | ||||||||
\(442\) | −6.47214 | + | 4.70228i | −0.307848 | + | 0.223665i | ||||
\(443\) | −5.35410 | − | 16.4782i | −0.254381 | − | 0.782904i | −0.993951 | − | 0.109825i | \(-0.964971\pi\) |
0.739570 | − | 0.673080i | \(-0.235029\pi\) | |||||||
\(444\) | −3.23607 | + | 9.95959i | −0.153577 | + | 0.472661i | ||||
\(445\) | 5.32624 | + | 3.86974i | 0.252488 | + | 0.183443i | ||||
\(446\) | 10.5902 | + | 7.69421i | 0.501459 | + | 0.364331i | ||||
\(447\) | −1.11803 | + | 3.44095i | −0.0528812 | + | 0.162752i | ||||
\(448\) | 0.736068 | + | 2.26538i | 0.0347759 | + | 0.107029i | ||||
\(449\) | −0.0901699 | + | 0.0655123i | −0.00425538 | + | 0.00309172i | −0.589911 | − | 0.807468i | \(-0.700837\pi\) |
0.585656 | + | 0.810560i | \(0.300837\pi\) | |||||||
\(450\) | 9.85410 | 0.464527 | ||||||||
\(451\) | −2.09017 | − | 3.52671i | −0.0984223 | − | 0.166066i | ||||
\(452\) | −3.52786 | −0.165937 | ||||||||
\(453\) | −5.11803 | + | 3.71847i | −0.240466 | + | 0.174709i | ||||
\(454\) | −4.28115 | − | 13.1760i | −0.200924 | − | 0.618382i | ||||
\(455\) | −3.50658 | + | 10.7921i | −0.164391 | + | 0.505943i | ||||
\(456\) | 1.00000 | + | 0.726543i | 0.0468293 | + | 0.0340235i | ||||
\(457\) | −20.2082 | − | 14.6821i | −0.945300 | − | 0.686801i | 0.00439065 | − | 0.999990i | \(-0.498602\pi\) |
−0.949691 | + | 0.313190i | \(0.898602\pi\) | |||||||
\(458\) | 1.56231 | − | 4.80828i | 0.0730018 | − | 0.224676i | ||||
\(459\) | −2.00000 | − | 6.15537i | −0.0933520 | − | 0.287308i | ||||
\(460\) | 3.85410 | − | 2.80017i | 0.179698 | − | 0.130559i | ||||
\(461\) | −12.8328 | −0.597684 | −0.298842 | − | 0.954303i | \(-0.596600\pi\) | ||||
−0.298842 | + | 0.954303i | \(0.596600\pi\) | |||||||
\(462\) | −5.21885 | + | 5.93085i | −0.242803 | + | 0.275928i | ||||
\(463\) | 7.90983 | 0.367601 | 0.183800 | − | 0.982964i | \(-0.441160\pi\) | ||||
0.183800 | + | 0.982964i | \(0.441160\pi\) | |||||||
\(464\) | 2.11803 | − | 1.53884i | 0.0983273 | − | 0.0714389i | ||||
\(465\) | 7.60081 | + | 23.3929i | 0.352479 | + | 1.08482i | ||||
\(466\) | 2.76393 | − | 8.50651i | 0.128037 | − | 0.394056i | ||||
\(467\) | 0.454915 | + | 0.330515i | 0.0210510 | + | 0.0152944i | 0.598261 | − | 0.801301i | \(-0.295859\pi\) |
−0.577210 | + | 0.816596i | \(0.695859\pi\) | |||||||
\(468\) | −1.00000 | − | 0.726543i | −0.0462250 | − | 0.0335844i | ||||
\(469\) | 2.94427 | − | 9.06154i | 0.135954 | − | 0.418423i | ||||
\(470\) | 7.70820 | + | 23.7234i | 0.355553 | + | 1.09428i | ||||
\(471\) | −3.61803 | + | 2.62866i | −0.166710 | + | 0.121122i | ||||
\(472\) | 2.85410 | 0.131371 | ||||||||
\(473\) | −4.00000 | + | 0.898056i | −0.183920 | + | 0.0412927i | ||||
\(474\) | −6.32624 | −0.290574 | ||||||||
\(475\) | −9.85410 | + | 7.15942i | −0.452137 | + | 0.328497i | ||||
\(476\) | 4.76393 | + | 14.6619i | 0.218354 | + | 0.672026i | ||||
\(477\) | 0.881966 | − | 2.71441i | 0.0403824 | − | 0.124284i | ||||
\(478\) | 6.09017 | + | 4.42477i | 0.278558 | + | 0.202384i | ||||
\(479\) | 2.23607 | + | 1.62460i | 0.102169 | + | 0.0742298i | 0.637697 | − | 0.770288i | \(-0.279887\pi\) |
−0.535528 | + | 0.844517i | \(0.679887\pi\) | |||||||
\(480\) | 1.19098 | − | 3.66547i | 0.0543607 | − | 0.167305i | ||||
\(481\) | 4.00000 | + | 12.3107i | 0.182384 | + | 0.561321i | ||||
\(482\) | 18.2533 | − | 13.2618i | 0.831415 | − | 0.604058i | ||||
\(483\) | −2.94427 | −0.133969 | ||||||||
\(484\) | −1.39919 | − | 10.9106i | −0.0635994 | − | 0.495939i | ||||
\(485\) | 16.6738 | 0.757117 | ||||||||
\(486\) | 0.809017 | − | 0.587785i | 0.0366978 | − | 0.0266625i | ||||
\(487\) | −6.79180 | − | 20.9030i | −0.307766 | − | 0.947205i | −0.978631 | − | 0.205626i | \(-0.934077\pi\) |
0.670865 | − | 0.741579i | \(-0.265923\pi\) | |||||||
\(488\) | −3.47214 | + | 10.6861i | −0.157176 | + | 0.483739i | ||||
\(489\) | 10.8541 | + | 7.88597i | 0.490839 | + | 0.356616i | ||||
\(490\) | −4.13525 | − | 3.00444i | −0.186812 | − | 0.135727i | ||||
\(491\) | −11.8197 | + | 36.3772i | −0.533414 | + | 1.64168i | 0.213638 | + | 0.976913i | \(0.431469\pi\) |
−0.747052 | + | 0.664766i | \(0.768531\pi\) | |||||||
\(492\) | −0.381966 | − | 1.17557i | −0.0172204 | − | 0.0529988i | ||||
\(493\) | 13.7082 | − | 9.95959i | 0.617386 | − | 0.448558i | ||||
\(494\) | 1.52786 | 0.0687419 | ||||||||
\(495\) | 12.4721 | − | 2.80017i | 0.560581 | − | 0.125858i | ||||
\(496\) | 6.38197 | 0.286559 | ||||||||
\(497\) | −6.79837 | + | 4.93931i | −0.304949 | + | 0.221558i | ||||
\(498\) | 5.04508 | + | 15.5272i | 0.226076 | + | 0.695789i | ||||
\(499\) | 6.00000 | − | 18.4661i | 0.268597 | − | 0.826656i | −0.722246 | − | 0.691636i | \(-0.756890\pi\) |
0.990843 | − | 0.135020i | \(-0.0431099\pi\) | |||||||
\(500\) | 15.1353 | + | 10.9964i | 0.676869 | + | 0.491774i | ||||
\(501\) | 2.23607 | + | 1.62460i | 0.0999001 | + | 0.0725817i | ||||
\(502\) | −1.13525 | + | 3.49396i | −0.0506689 | + | 0.155943i | ||||
\(503\) | −12.4721 | − | 38.3853i | −0.556105 | − | 1.71152i | −0.693007 | − | 0.720931i | \(-0.743715\pi\) |
0.136902 | − | 0.990585i | \(-0.456285\pi\) | |||||||
\(504\) | −1.92705 | + | 1.40008i | −0.0858377 | + | 0.0623647i | ||||
\(505\) | 56.3394 | 2.50707 | ||||||||
\(506\) | 2.70820 | − | 3.07768i | 0.120394 | − | 0.136820i | ||||
\(507\) | 11.4721 | 0.509495 | ||||||||
\(508\) | −9.70820 | + | 7.05342i | −0.430732 | + | 0.312945i | ||||
\(509\) | 8.59017 | + | 26.4378i | 0.380753 | + | 1.17184i | 0.939515 | + | 0.342508i | \(0.111276\pi\) |
−0.558762 | + | 0.829328i | \(0.688724\pi\) | |||||||
\(510\) | 7.70820 | − | 23.7234i | 0.341325 | − | 1.05049i | ||||
\(511\) | −8.33688 | − | 6.05710i | −0.368802 | − | 0.267950i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −0.381966 | + | 1.17557i | −0.0168642 | + | 0.0519027i | ||||
\(514\) | −7.47214 | − | 22.9969i | −0.329582 | − | 1.01435i | ||||
\(515\) | −53.1140 | + | 38.5896i | −2.34048 | + | 1.70046i | ||||
\(516\) | −1.23607 | −0.0544149 | ||||||||
\(517\) | 10.9443 | + | 18.4661i | 0.481329 | + | 0.812138i | ||||
\(518\) | 24.9443 | 1.09599 | ||||||||
\(519\) | −8.78115 | + | 6.37988i | −0.385450 | + | 0.280046i | ||||
\(520\) | −1.47214 | − | 4.53077i | −0.0645574 | − | 0.198687i | ||||
\(521\) | 1.41641 | − | 4.35926i | 0.0620540 | − | 0.190982i | −0.915223 | − | 0.402947i | \(-0.867986\pi\) |
0.977277 | + | 0.211964i | \(0.0679860\pi\) | |||||||
\(522\) | 2.11803 | + | 1.53884i | 0.0927038 | + | 0.0673533i | ||||
\(523\) | 23.9443 | + | 17.3965i | 1.04701 | + | 0.760697i | 0.971642 | − | 0.236459i | \(-0.0759867\pi\) |
0.0753683 | + | 0.997156i | \(0.475987\pi\) | |||||||
\(524\) | 5.64590 | − | 17.3763i | 0.246642 | − | 0.759087i | ||||
\(525\) | −7.25329 | − | 22.3233i | −0.316559 | − | 0.974270i | ||||
\(526\) | 4.61803 | − | 3.35520i | 0.201356 | − | 0.146294i | ||||
\(527\) | 41.3050 | 1.79927 | ||||||||
\(528\) | 0.309017 | − | 3.30220i | 0.0134482 | − | 0.143710i | ||||
\(529\) | −21.4721 | −0.933571 | ||||||||
\(530\) | 8.89919 | − | 6.46564i | 0.386556 | − | 0.280849i | ||||
\(531\) | 0.881966 | + | 2.71441i | 0.0382741 | + | 0.117795i | ||||
\(532\) | 0.909830 | − | 2.80017i | 0.0394461 | − | 0.121403i | ||||
\(533\) | −1.23607 | − | 0.898056i | −0.0535400 | − | 0.0388991i | ||||
\(534\) | 1.38197 | + | 1.00406i | 0.0598035 | + | 0.0434498i | ||||
\(535\) | −9.07295 | + | 27.9237i | −0.392258 | + | 1.20725i | ||||
\(536\) | 1.23607 | + | 3.80423i | 0.0533900 | + | 0.164318i | ||||
\(537\) | −6.97214 | + | 5.06555i | −0.300870 | + | 0.218595i | ||||
\(538\) | 14.9443 | 0.644293 | ||||||||
\(539\) | −4.03851 | − | 1.74311i | −0.173951 | − | 0.0750811i | ||||
\(540\) | 3.85410 | 0.165854 | ||||||||
\(541\) | −13.3262 | + | 9.68208i | −0.572940 | + | 0.416265i | −0.836172 | − | 0.548467i | \(-0.815211\pi\) |
0.263232 | + | 0.964733i | \(0.415211\pi\) | |||||||
\(542\) | −1.05573 | − | 3.24920i | −0.0453474 | − | 0.139565i | ||||
\(543\) | 2.32624 | − | 7.15942i | 0.0998284 | − | 0.307240i | ||||
\(544\) | −5.23607 | − | 3.80423i | −0.224495 | − | 0.163105i | ||||
\(545\) | −29.3607 | − | 21.3318i | −1.25767 | − | 0.913753i | ||||
\(546\) | −0.909830 | + | 2.80017i | −0.0389371 | + | 0.119836i | ||||
\(547\) | −1.29180 | − | 3.97574i | −0.0552332 | − | 0.169990i | 0.919634 | − | 0.392776i | \(-0.128485\pi\) |
−0.974868 | + | 0.222785i | \(0.928485\pi\) | |||||||
\(548\) | −13.8541 | + | 10.0656i | −0.591818 | + | 0.429981i | ||||
\(549\) | −11.2361 | −0.479544 | ||||||||
\(550\) | 30.0066 | + | 12.9515i | 1.27948 | + | 0.552255i | ||||
\(551\) | −3.23607 | −0.137861 | ||||||||
\(552\) | 1.00000 | − | 0.726543i | 0.0425628 | − | 0.0309237i | ||||
\(553\) | 4.65654 | + | 14.3314i | 0.198016 | + | 0.609431i | ||||
\(554\) | −9.00000 | + | 27.6992i | −0.382373 | + | 1.17682i | ||||
\(555\) | −32.6525 | − | 23.7234i | −1.38602 | − | 1.00700i | ||||
\(556\) | −7.09017 | − | 5.15131i | −0.300690 | − | 0.218464i | ||||
\(557\) | −4.00658 | + | 12.3310i | −0.169764 | + | 0.522480i | −0.999356 | − | 0.0358903i | \(-0.988573\pi\) |
0.829592 | + | 0.558371i | \(0.188573\pi\) | |||||||
\(558\) | 1.97214 | + | 6.06961i | 0.0834872 | + | 0.256947i | ||||
\(559\) | −1.23607 | + | 0.898056i | −0.0522801 | + | 0.0379837i | ||||
\(560\) | −9.18034 | −0.387940 | ||||||||
\(561\) | 2.00000 | − | 21.3723i | 0.0844401 | − | 0.902338i | ||||
\(562\) | −17.1246 | −0.722358 | ||||||||
\(563\) | −5.52786 | + | 4.01623i | −0.232972 | + | 0.169264i | −0.698146 | − | 0.715955i | \(-0.745992\pi\) |
0.465175 | + | 0.885219i | \(0.345992\pi\) | |||||||
\(564\) | 2.00000 | + | 6.15537i | 0.0842152 | + | 0.259188i | ||||
\(565\) | 4.20163 | − | 12.9313i | 0.176764 | − | 0.544023i | ||||
\(566\) | −9.61803 | − | 6.98791i | −0.404276 | − | 0.293724i | ||||
\(567\) | −1.92705 | − | 1.40008i | −0.0809285 | − | 0.0587980i | ||||
\(568\) | 1.09017 | − | 3.35520i | 0.0457425 | − | 0.140781i | ||||
\(569\) | −5.20163 | − | 16.0090i | −0.218064 | − | 0.671130i | −0.998922 | − | 0.0464224i | \(-0.985218\pi\) |
0.780858 | − | 0.624708i | \(-0.214782\pi\) | |||||||
\(570\) | −3.85410 | + | 2.80017i | −0.161431 | + | 0.117286i | ||||
\(571\) | −39.5967 | −1.65707 | −0.828536 | − | 0.559936i | \(-0.810826\pi\) | ||||
−0.828536 | + | 0.559936i | \(0.810826\pi\) | |||||||
\(572\) | −2.09017 | − | 3.52671i | −0.0873944 | − | 0.147459i | ||||
\(573\) | −13.5279 | −0.565135 | ||||||||
\(574\) | −2.38197 | + | 1.73060i | −0.0994213 | + | 0.0722338i | ||||
\(575\) | 3.76393 | + | 11.5842i | 0.156967 | + | 0.483094i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | 3.30902 | + | 2.40414i | 0.137756 | + | 0.100086i | 0.654529 | − | 0.756037i | \(-0.272867\pi\) |
−0.516773 | + | 0.856122i | \(0.672867\pi\) | |||||||
\(578\) | −20.1353 | − | 14.6291i | −0.837516 | − | 0.608491i | ||||
\(579\) | 4.73607 | − | 14.5761i | 0.196824 | − | 0.605763i | ||||
\(580\) | 3.11803 | + | 9.59632i | 0.129469 | + | 0.398466i | ||||
\(581\) | 31.4615 | − | 22.8581i | 1.30524 | − | 0.948314i | ||||
\(582\) | 4.32624 | 0.179328 | ||||||||
\(583\) | 6.25329 | − | 7.10642i | 0.258985 | − | 0.294318i | ||||
\(584\) | 4.32624 | 0.179021 | ||||||||
\(585\) | 3.85410 | − | 2.80017i | 0.159348 | − | 0.115773i | ||||
\(586\) | −7.40983 | − | 22.8051i | −0.306097 | − | 0.942070i | ||||
\(587\) | −3.98936 | + | 12.2780i | −0.164658 | + | 0.506766i | −0.999011 | − | 0.0444648i | \(-0.985842\pi\) |
0.834353 | + | 0.551231i | \(0.185842\pi\) | |||||||
\(588\) | −1.07295 | − | 0.779543i | −0.0442477 | − | 0.0321478i | ||||
\(589\) | −6.38197 | − | 4.63677i | −0.262964 | − | 0.191055i | ||||
\(590\) | −3.39919 | + | 10.4616i | −0.139942 | + | 0.430698i | ||||
\(591\) | 1.57295 | + | 4.84104i | 0.0647025 | + | 0.199134i | ||||
\(592\) | −8.47214 | + | 6.15537i | −0.348203 | + | 0.252984i | ||||
\(593\) | 15.5279 | 0.637653 | 0.318826 | − | 0.947813i | \(-0.396711\pi\) | ||||
0.318826 | + | 0.947813i | \(0.396711\pi\) | |||||||
\(594\) | 3.23607 | − | 0.726543i | 0.132777 | − | 0.0298104i | ||||
\(595\) | −59.4164 | −2.43584 | ||||||||
\(596\) | −2.92705 | + | 2.12663i | −0.119897 | + | 0.0871100i | ||||
\(597\) | −6.13525 | − | 18.8824i | −0.251099 | − | 0.772804i | ||||
\(598\) | 0.472136 | − | 1.45309i | 0.0193071 | − | 0.0594211i | ||||
\(599\) | 29.4164 | + | 21.3723i | 1.20192 | + | 0.873247i | 0.994472 | − | 0.104998i | \(-0.0334837\pi\) |
0.207449 | + | 0.978246i | \(0.433484\pi\) | |||||||
\(600\) | 7.97214 | + | 5.79210i | 0.325461 | + | 0.236461i | ||||
\(601\) | 5.79180 | − | 17.8253i | 0.236252 | − | 0.727110i | −0.760701 | − | 0.649103i | \(-0.775144\pi\) |
0.996953 | − | 0.0780068i | \(-0.0248556\pi\) | |||||||
\(602\) | 0.909830 | + | 2.80017i | 0.0370819 | + | 0.114126i | ||||
\(603\) | −3.23607 | + | 2.35114i | −0.131783 | + | 0.0957459i | ||||
\(604\) | −6.32624 | −0.257411 | ||||||||
\(605\) | 41.6591 | + | 7.86572i | 1.69368 | + | 0.319787i | ||||
\(606\) | 14.6180 | 0.593817 | ||||||||
\(607\) | 38.6525 | − | 28.0827i | 1.56886 | − | 1.13984i | 0.640614 | − | 0.767863i | \(-0.278680\pi\) |
0.928242 | − | 0.371977i | \(-0.121320\pi\) | |||||||
\(608\) | 0.381966 | + | 1.17557i | 0.0154908 | + | 0.0476757i | ||||
\(609\) | 1.92705 | − | 5.93085i | 0.0780880 | − | 0.240330i | ||||
\(610\) | −35.0344 | − | 25.4540i | −1.41850 | − | 1.03060i | ||||
\(611\) | 6.47214 | + | 4.70228i | 0.261835 | + | 0.190234i | ||||
\(612\) | 2.00000 | − | 6.15537i | 0.0808452 | − | 0.248816i | ||||
\(613\) | −8.56231 | − | 26.3521i | −0.345828 | − | 1.06435i | −0.961139 | − | 0.276065i | \(-0.910969\pi\) |
0.615311 | − | 0.788285i | \(-0.289031\pi\) | |||||||
\(614\) | −11.8541 | + | 8.61251i | −0.478393 | + | 0.347573i | ||||
\(615\) | 4.76393 | 0.192100 | ||||||||
\(616\) | −7.70820 | + | 1.73060i | −0.310572 | + | 0.0697278i | ||||
\(617\) | −43.7082 | −1.75963 | −0.879813 | − | 0.475320i | \(-0.842332\pi\) | ||||
−0.879813 | + | 0.475320i | \(0.842332\pi\) | |||||||
\(618\) | −13.7812 | + | 10.0126i | −0.554359 | + | 0.402766i | ||||
\(619\) | 11.5279 | + | 35.4791i | 0.463344 | + | 1.42603i | 0.861053 | + | 0.508515i | \(0.169805\pi\) |
−0.397709 | + | 0.917511i | \(0.630195\pi\) | |||||||
\(620\) | −7.60081 | + | 23.3929i | −0.305256 | + | 0.939481i | ||||
\(621\) | 1.00000 | + | 0.726543i | 0.0401286 | + | 0.0291551i | ||||
\(622\) | −9.61803 | − | 6.98791i | −0.385648 | − | 0.280190i | ||||
\(623\) | 1.25735 | − | 3.86974i | 0.0503748 | − | 0.155038i | ||||
\(624\) | −0.381966 | − | 1.17557i | −0.0152909 | − | 0.0470605i | ||||
\(625\) | −18.4721 | + | 13.4208i | −0.738885 | + | 0.536832i | ||||
\(626\) | 21.8541 | 0.873466 | ||||||||
\(627\) | −2.70820 | + | 3.07768i | −0.108155 | + | 0.122911i | ||||
\(628\) | −4.47214 | −0.178458 | ||||||||
\(629\) | −54.8328 | + | 39.8384i | −2.18633 | + | 1.58846i | ||||
\(630\) | −2.83688 | − | 8.73102i | −0.113024 | − | 0.347852i | ||||
\(631\) | −7.37132 | + | 22.6866i | −0.293448 | + | 0.903139i | 0.690291 | + | 0.723532i | \(0.257483\pi\) |
−0.983738 | + | 0.179607i | \(0.942517\pi\) | |||||||
\(632\) | −5.11803 | − | 3.71847i | −0.203584 | − | 0.147913i | ||||
\(633\) | 21.5623 | + | 15.6659i | 0.857025 | + | 0.622665i | ||||
\(634\) | 4.90983 | − | 15.1109i | 0.194994 | − | 0.600131i | ||||
\(635\) | −14.2918 | − | 43.9856i | −0.567153 | − | 1.74552i | ||||
\(636\) | 2.30902 | − | 1.67760i | 0.0915585 | − | 0.0665211i | ||||
\(637\) | −1.63932 | −0.0649522 | ||||||||
\(638\) | 4.42705 | + | 7.46969i | 0.175269 | + | 0.295728i | ||||
\(639\) | 3.52786 | 0.139560 | ||||||||
\(640\) | 3.11803 | − | 2.26538i | 0.123251 | − | 0.0895472i | ||||
\(641\) | 2.12461 | + | 6.53888i | 0.0839171 | + | 0.258270i | 0.984207 | − | 0.177020i | \(-0.0566457\pi\) |
−0.900290 | + | 0.435290i | \(0.856646\pi\) | |||||||
\(642\) | −2.35410 | + | 7.24518i | −0.0929090 | + | 0.285944i | ||||
\(643\) | 5.61803 | + | 4.08174i | 0.221554 | + | 0.160968i | 0.693026 | − | 0.720913i | \(-0.256277\pi\) |
−0.471472 | + | 0.881881i | \(0.656277\pi\) | |||||||
\(644\) | −2.38197 | − | 1.73060i | −0.0938626 | − | 0.0681952i | ||||
\(645\) | 1.47214 | − | 4.53077i | 0.0579653 | − | 0.178399i | ||||
\(646\) | 2.47214 | + | 7.60845i | 0.0972649 | + | 0.299351i | ||||
\(647\) | 34.8885 | − | 25.3480i | 1.37161 | − | 0.996533i | 0.374001 | − | 0.927428i | \(-0.377986\pi\) |
0.997609 | − | 0.0691047i | \(-0.0220143\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | −0.881966 | + | 9.42481i | −0.0346202 | + | 0.369956i | ||||
\(650\) | 12.1803 | 0.477752 | ||||||||
\(651\) | 12.2984 | − | 8.93529i | 0.482011 | − | 0.350202i | ||||
\(652\) | 4.14590 | + | 12.7598i | 0.162366 | + | 0.499711i | ||||
\(653\) | −8.60739 | + | 26.4908i | −0.336833 | + | 1.03667i | 0.628979 | + | 0.777423i | \(0.283473\pi\) |
−0.965812 | + | 0.259244i | \(0.916527\pi\) | |||||||
\(654\) | −7.61803 | − | 5.53483i | −0.297889 | − | 0.216429i | ||||
\(655\) | 56.9681 | + | 41.3897i | 2.22593 | + | 1.61723i | ||||
\(656\) | 0.381966 | − | 1.17557i | 0.0149133 | − | 0.0458983i | ||||
\(657\) | 1.33688 | + | 4.11450i | 0.0521567 | + | 0.160522i | ||||
\(658\) | 12.4721 | − | 9.06154i | 0.486214 | − | 0.353255i | ||||
\(659\) | 49.8541 | 1.94204 | 0.971020 | − | 0.238998i | \(-0.0768190\pi\) | ||||
0.971020 | + | 0.238998i | \(0.0768190\pi\) | |||||||
\(660\) | 11.7361 | + | 5.06555i | 0.456826 | + | 0.197176i | ||||
\(661\) | 28.1803 | 1.09609 | 0.548044 | − | 0.836449i | \(-0.315373\pi\) | ||||
0.548044 | + | 0.836449i | \(0.315373\pi\) | |||||||
\(662\) | 7.23607 | − | 5.25731i | 0.281238 | − | 0.204331i | ||||
\(663\) | −2.47214 | − | 7.60845i | −0.0960098 | − | 0.295488i | ||||
\(664\) | −5.04508 | + | 15.5272i | −0.195787 | + | 0.602571i | ||||
\(665\) | 9.18034 | + | 6.66991i | 0.355998 | + | 0.258648i | ||||
\(666\) | −8.47214 | − | 6.15537i | −0.328289 | − | 0.238516i | ||||
\(667\) | −1.00000 | + | 3.07768i | −0.0387202 | + | 0.119168i | ||||
\(668\) | 0.854102 | + | 2.62866i | 0.0330462 | + | 0.101706i | ||||
\(669\) | −10.5902 | + | 7.69421i | −0.409440 | + | 0.297475i | ||||
\(670\) | −15.4164 | −0.595588 | ||||||||
\(671\) | −34.2148 | − | 14.7679i | −1.32085 | − | 0.570108i | ||||
\(672\) | −2.38197 | −0.0918863 | ||||||||
\(673\) | 29.1525 | − | 21.1805i | 1.12375 | − | 0.816449i | 0.138973 | − | 0.990296i | \(-0.455620\pi\) |
0.984773 | + | 0.173847i | \(0.0556200\pi\) | |||||||
\(674\) | −3.38197 | − | 10.4086i | −0.130268 | − | 0.400925i | ||||
\(675\) | −3.04508 | + | 9.37181i | −0.117205 | + | 0.360721i | ||||
\(676\) | 9.28115 | + | 6.74315i | 0.356967 | + | 0.259352i | ||||
\(677\) | 2.01722 | + | 1.46560i | 0.0775281 | + | 0.0563275i | 0.625874 | − | 0.779924i | \(-0.284742\pi\) |
−0.548346 | + | 0.836252i | \(0.684742\pi\) | |||||||
\(678\) | 1.09017 | − | 3.35520i | 0.0418677 | − | 0.128856i | ||||
\(679\) | −3.18441 | − | 9.80059i | −0.122206 | − | 0.376112i | ||||
\(680\) | 20.1803 | − | 14.6619i | 0.773881 | − | 0.562257i | ||||
\(681\) | 13.8541 | 0.530890 | ||||||||
\(682\) | −1.97214 | + | 21.0745i | −0.0755170 | + | 0.806985i | ||||
\(683\) | 3.25735 | 0.124639 | 0.0623196 | − | 0.998056i | \(-0.480150\pi\) | ||||
0.0623196 | + | 0.998056i | \(0.480150\pi\) | |||||||
\(684\) | −1.00000 | + | 0.726543i | −0.0382360 | + | 0.0277800i | ||||
\(685\) | −20.3951 | − | 62.7697i | −0.779258 | − | 2.39831i | ||||
\(686\) | −6.12868 | + | 18.8621i | −0.233994 | + | 0.720159i | ||||
\(687\) | 4.09017 | + | 2.97168i | 0.156050 | + | 0.113377i | ||||
\(688\) | −1.00000 | − | 0.726543i | −0.0381246 | − | 0.0276992i | ||||
\(689\) | 1.09017 | − | 3.35520i | 0.0415322 | − | 0.127823i | ||||
\(690\) | 1.47214 | + | 4.53077i | 0.0560433 | + | 0.172483i | ||||
\(691\) | 11.0902 | − | 8.05748i | 0.421890 | − | 0.306521i | −0.356508 | − | 0.934292i | \(-0.616033\pi\) |
0.778398 | + | 0.627771i | \(0.216033\pi\) | |||||||
\(692\) | −10.8541 | −0.412611 | ||||||||
\(693\) | −4.02786 | − | 6.79615i | −0.153006 | − | 0.258165i | ||||
\(694\) | 5.14590 | 0.195336 | ||||||||
\(695\) | 27.3262 | − | 19.8537i | 1.03654 | − | 0.753093i | ||||
\(696\) | 0.809017 | + | 2.48990i | 0.0306657 | + | 0.0943794i | ||||
\(697\) | 2.47214 | − | 7.60845i | 0.0936388 | − | 0.288191i | ||||
\(698\) | 7.09017 | + | 5.15131i | 0.268367 | + | 0.194980i | ||||
\(699\) | 7.23607 | + | 5.25731i | 0.273693 | + | 0.198850i | ||||
\(700\) | 7.25329 | − | 22.3233i | 0.274149 | − | 0.843742i | ||||
\(701\) | 5.85410 | + | 18.0171i | 0.221106 | + | 0.680495i | 0.998664 | + | 0.0516832i | \(0.0164586\pi\) |
−0.777557 | + | 0.628812i | \(0.783541\pi\) | |||||||
\(702\) | 1.00000 | − | 0.726543i | 0.0377426 | − | 0.0274216i | ||||
\(703\) | 12.9443 | 0.488202 | ||||||||
\(704\) | 2.19098 | − | 2.48990i | 0.0825758 | − | 0.0938416i | ||||
\(705\) | −24.9443 | −0.939456 | ||||||||
\(706\) | −22.3262 | + | 16.2210i | −0.840259 | + | 0.610484i | ||||
\(707\) | −10.7599 | − | 33.1155i | −0.404666 | − | 1.24544i | ||||
\(708\) | −0.881966 | + | 2.71441i | −0.0331463 | + | 0.102014i | ||||
\(709\) | 33.1803 | + | 24.1069i | 1.24611 | + | 0.905355i | 0.997990 | − | 0.0633736i | \(-0.0201860\pi\) |
0.248124 | + | 0.968728i | \(0.420186\pi\) | |||||||
\(710\) | 11.0000 | + | 7.99197i | 0.412823 | + | 0.299933i | ||||
\(711\) | 1.95492 | − | 6.01661i | 0.0733150 | − | 0.225640i | ||||
\(712\) | 0.527864 | + | 1.62460i | 0.0197825 | + | 0.0608844i | ||||
\(713\) | −6.38197 | + | 4.63677i | −0.239007 | + | 0.173648i | ||||
\(714\) | −15.4164 | −0.576945 | ||||||||
\(715\) | 15.4164 | − | 3.46120i | 0.576541 | − | 0.129442i | ||||
\(716\) | −8.61803 | −0.322071 | ||||||||
\(717\) | −6.09017 | + | 4.42477i | −0.227442 | + | 0.165246i | ||||
\(718\) | 5.32624 | + | 16.3925i | 0.198773 | + | 0.611762i | ||||
\(719\) | −2.14590 | + | 6.60440i | −0.0800285 | + | 0.246302i | −0.983064 | − | 0.183264i | \(-0.941334\pi\) |
0.903035 | + | 0.429567i | \(0.141334\pi\) | |||||||
\(720\) | 3.11803 | + | 2.26538i | 0.116202 | + | 0.0844259i | ||||
\(721\) | 32.8262 | + | 23.8497i | 1.22251 | + | 0.888208i | ||||
\(722\) | −5.39919 | + | 16.6170i | −0.200937 | + | 0.618420i | ||||
\(723\) | 6.97214 | + | 21.4580i | 0.259297 | + | 0.798033i | ||||
\(724\) | 6.09017 | − | 4.42477i | 0.226339 | − | 0.164445i | ||||
\(725\) | −25.7984 | −0.958128 | ||||||||
\(726\) | 10.8090 | + | 2.04087i | 0.401160 | + | 0.0757438i | ||||
\(727\) | −23.4164 | −0.868466 | −0.434233 | − | 0.900800i | \(-0.642981\pi\) | ||||
−0.434233 | + | 0.900800i | \(0.642981\pi\) | |||||||
\(728\) | −2.38197 | + | 1.73060i | −0.0882815 | + | 0.0641403i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −5.15248 | + | 15.8577i | −0.190702 | + | 0.586919i | ||||
\(731\) | −6.47214 | − | 4.70228i | −0.239381 | − | 0.173920i | ||||
\(732\) | −9.09017 | − | 6.60440i | −0.335982 | − | 0.244105i | ||||
\(733\) | −9.36068 | + | 28.8092i | −0.345745 | + | 1.06409i | 0.615439 | + | 0.788184i | \(0.288979\pi\) |
−0.961184 | + | 0.275908i | \(0.911021\pi\) | |||||||
\(734\) | 0.156541 | + | 0.481784i | 0.00577804 | + | 0.0177830i | ||||
\(735\) | 4.13525 | − | 3.00444i | 0.152531 | − | 0.110820i | ||||
\(736\) | 1.23607 | 0.0455621 | ||||||||
\(737\) | −12.9443 | + | 2.90617i | −0.476808 | + | 0.107050i | ||||
\(738\) | 1.23607 | 0.0455003 | ||||||||
\(739\) | −26.6525 | + | 19.3642i | −0.980427 | + | 0.712322i | −0.957804 | − | 0.287422i | \(-0.907202\pi\) |
−0.0226231 | + | 0.999744i | \(0.507202\pi\) | |||||||
\(740\) | −12.4721 | − | 38.3853i | −0.458485 | − | 1.41107i | ||||
\(741\) | −0.472136 | + | 1.45309i | −0.0173443 | + | 0.0533804i | ||||
\(742\) | −5.50000 | − | 3.99598i | −0.201911 | − | 0.146697i | ||||
\(743\) | −27.3262 | − | 19.8537i | −1.00250 | − | 0.728361i | −0.0398791 | − | 0.999205i | \(-0.512697\pi\) |
−0.962623 | + | 0.270844i | \(0.912697\pi\) | |||||||
\(744\) | −1.97214 | + | 6.06961i | −0.0723020 | + | 0.222523i | ||||
\(745\) | −4.30902 | − | 13.2618i | −0.157870 | − | 0.485874i | ||||
\(746\) | 14.9443 | − | 10.8576i | 0.547149 | − | 0.397527i | ||||
\(747\) | −16.3262 | −0.597346 | ||||||||
\(748\) | 14.1803 | − | 16.1150i | 0.518485 | − | 0.589221i | ||||
\(749\) | 18.1459 | 0.663037 | ||||||||
\(750\) | −15.1353 | + | 10.9964i | −0.552661 | + | 0.401532i | ||||
\(751\) | −14.1803 | − | 43.6426i | −0.517448 | − | 1.59254i | −0.778783 | − | 0.627293i | \(-0.784163\pi\) |
0.261335 | − | 0.965248i | \(-0.415837\pi\) | |||||||
\(752\) | −2.00000 | + | 6.15537i | −0.0729325 | + | 0.224463i | ||||
\(753\) | −2.97214 | − | 2.15938i | −0.108311 | − | 0.0786923i | ||||
\(754\) | 2.61803 | + | 1.90211i | 0.0953432 | + | 0.0692709i | ||||
\(755\) | 7.53444 | − | 23.1886i | 0.274206 | − | 0.843921i | ||||
\(756\) | −0.736068 | − | 2.26538i | −0.0267705 | − | 0.0823912i | ||||
\(757\) | −29.5623 | + | 21.4783i | −1.07446 | + | 0.780641i | −0.976709 | − | 0.214570i | \(-0.931165\pi\) |
−0.0977516 | + | 0.995211i | \(0.531165\pi\) | |||||||
\(758\) | −9.70820 | −0.352618 | ||||||||
\(759\) | 2.09017 | + | 3.52671i | 0.0758684 | + | 0.128012i | ||||
\(760\) | −4.76393 | −0.172806 | ||||||||
\(761\) | −19.1803 | + | 13.9353i | −0.695287 | + | 0.505155i | −0.878394 | − | 0.477938i | \(-0.841385\pi\) |
0.183107 | + | 0.983093i | \(0.441385\pi\) | |||||||
\(762\) | −3.70820 | − | 11.4127i | −0.134334 | − | 0.413438i | ||||
\(763\) | −6.93112 | + | 21.3318i | −0.250923 | + | 0.772262i | ||||
\(764\) | −10.9443 | − | 7.95148i | −0.395950 | − | 0.287674i | ||||
\(765\) | 20.1803 | + | 14.6619i | 0.729622 | + | 0.530101i | ||||
\(766\) | 2.70820 | − | 8.33499i | 0.0978514 | − | 0.301156i | ||||
\(767\) | 1.09017 | + | 3.35520i | 0.0393638 | + | 0.121149i | ||||
\(768\) | 0.809017 | − | 0.587785i | 0.0291929 | − | 0.0212099i | ||||
\(769\) | 29.2705 | 1.05552 | 0.527761 | − | 0.849393i | \(-0.323032\pi\) | ||||
0.527761 | + | 0.849393i | \(0.323032\pi\) | |||||||
\(770\) | 2.83688 | − | 30.3153i | 0.102234 | − | 1.09249i | ||||
\(771\) | 24.1803 | 0.870834 | ||||||||
\(772\) | 12.3992 | − | 9.00854i | 0.446257 | − | 0.324224i | ||||
\(773\) | −8.80902 | − | 27.1114i | −0.316838 | − | 0.975128i | −0.974991 | − | 0.222244i | \(-0.928662\pi\) |
0.658153 | − | 0.752884i | \(-0.271338\pi\) | |||||||
\(774\) | 0.381966 | − | 1.17557i | 0.0137295 | − | 0.0422550i | ||||
\(775\) | −50.8779 | − | 36.9650i | −1.82759 | − | 1.32782i | ||||
\(776\) | 3.50000 | + | 2.54290i | 0.125643 | + | 0.0912847i | ||||
\(777\) | −7.70820 | + | 23.7234i | −0.276530 | + | 0.851073i | ||||
\(778\) | 6.50658 | + | 20.0252i | 0.233272 | + | 0.717938i | ||||
\(779\) | −1.23607 | + | 0.898056i | −0.0442867 | + | 0.0321762i | ||||
\(780\) | 4.76393 | 0.170576 | ||||||||
\(781\) | 10.7426 | + | 4.63677i | 0.384402 | + | 0.165917i | ||||
\(782\) | 8.00000 | 0.286079 | ||||||||
\(783\) | −2.11803 | + | 1.53884i | −0.0756924 | + | 0.0549937i | ||||
\(784\) | −0.409830 | − | 1.26133i | −0.0146368 | − | 0.0450474i | ||||
\(785\) | 5.32624 | − | 16.3925i | 0.190102 | − | 0.585073i | ||||
\(786\) | 14.7812 | + | 10.7391i | 0.527226 | + | 0.383052i | ||||
\(787\) | −38.4164 | − | 27.9112i | −1.36940 | − | 0.994925i | −0.997784 | − | 0.0665375i | \(-0.978805\pi\) |
−0.371613 | − | 0.928388i | \(-0.621195\pi\) | |||||||
\(788\) | −1.57295 | + | 4.84104i | −0.0560340 | + | 0.172455i | ||||
\(789\) | 1.76393 | + | 5.42882i | 0.0627976 | + | 0.193271i | ||||
\(790\) | 19.7254 | − | 14.3314i | 0.701799 | − | 0.509887i | ||||
\(791\) | −8.40325 | −0.298785 | ||||||||
\(792\) | 3.04508 | + | 1.31433i | 0.108202 | + | 0.0467026i | ||||
\(793\) | −13.8885 | −0.493197 | ||||||||
\(794\) | 20.9443 | − | 15.2169i | 0.743284 | − | 0.540028i | ||||
\(795\) | 3.39919 | + | 10.4616i | 0.120557 | + | 0.371035i | ||||
\(796\) | 6.13525 | − | 18.8824i | 0.217458 | − | 0.669268i | ||||
\(797\) | 16.4894 | + | 11.9802i | 0.584083 | + | 0.424361i | 0.840194 | − | 0.542286i | \(-0.182441\pi\) |
−0.256111 | + | 0.966647i | \(0.582441\pi\) | |||||||
\(798\) | 2.38197 | + | 1.73060i | 0.0843207 | + | 0.0612626i | ||||
\(799\) | −12.9443 | + | 39.8384i | −0.457935 | + | 1.40938i | ||||
\(800\) | 3.04508 | + | 9.37181i | 0.107660 | + | 0.331343i | ||||
\(801\) | −1.38197 | + | 1.00406i | −0.0488294 | + | 0.0354766i | ||||
\(802\) | 23.7082 | 0.837166 | ||||||||
\(803\) | −1.33688 | + | 14.2861i | −0.0471775 | + | 0.504145i | ||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 9.18034 | − | 6.66991i | 0.323564 | − | 0.235083i | ||||
\(806\) | 2.43769 | + | 7.50245i | 0.0858641 | + | 0.264263i | ||||
\(807\) | −4.61803 | + | 14.2128i | −0.162562 | + | 0.500316i | ||||
\(808\) | 11.8262 | + | 8.59226i | 0.416046 | + | 0.302275i | ||||
\(809\) | 40.6525 | + | 29.5358i | 1.42926 | + | 1.03842i | 0.990153 | + | 0.139989i | \(0.0447068\pi\) |
0.439112 | + | 0.898432i | \(0.355293\pi\) | |||||||
\(810\) | −1.19098 | + | 3.66547i | −0.0418469 | + | 0.128791i | ||||
\(811\) | −13.9787 | − | 43.0221i | −0.490859 | − | 1.51071i | −0.823312 | − | 0.567589i | \(-0.807876\pi\) |
0.332453 | − | 0.943120i | \(-0.392124\pi\) | |||||||
\(812\) | 5.04508 | − | 3.66547i | 0.177048 | − | 0.128633i | ||||
\(813\) | 3.41641 | 0.119819 | ||||||||
\(814\) | −17.7082 | − | 29.8788i | −0.620672 | − | 1.04725i | ||||
\(815\) | −51.7082 | −1.81126 | ||||||||
\(816\) | 5.23607 | − | 3.80423i | 0.183299 | − | 0.133175i | ||||
\(817\) | 0.472136 | + | 1.45309i | 0.0165179 | + | 0.0508370i | ||||
\(818\) | −0.281153 | + | 0.865300i | −0.00983028 | + | 0.0302545i | ||||
\(819\) | −2.38197 | − | 1.73060i | −0.0832326 | − | 0.0604720i | ||||
\(820\) | 3.85410 | + | 2.80017i | 0.134591 | + | 0.0977861i | ||||
\(821\) | 3.06231 | − | 9.42481i | 0.106875 | − | 0.328928i | −0.883291 | − | 0.468826i | \(-0.844677\pi\) |
0.990166 | + | 0.139897i | \(0.0446773\pi\) | |||||||
\(822\) | −5.29180 | − | 16.2865i | −0.184573 | − | 0.568056i | ||||
\(823\) | −39.0066 | + | 28.3399i | −1.35968 | + | 0.987868i | −0.361219 | + | 0.932481i | \(0.617639\pi\) |
−0.998465 | + | 0.0553871i | \(0.982361\pi\) | |||||||
\(824\) | −17.0344 | −0.593423 | ||||||||
\(825\) | −21.5902 | + | 24.5357i | −0.751673 | + | 0.854224i | ||||
\(826\) | 6.79837 | 0.236546 | ||||||||
\(827\) | 40.1976 | − | 29.2052i | 1.39781 | − | 1.01557i | 0.402849 | − | 0.915267i | \(-0.368020\pi\) |
0.994957 | − | 0.100299i | \(-0.0319800\pi\) | |||||||
\(828\) | 0.381966 | + | 1.17557i | 0.0132742 | + | 0.0408539i | ||||
\(829\) | −17.0902 | + | 52.5981i | −0.593566 | + | 1.82681i | −0.0318284 | + | 0.999493i | \(0.510133\pi\) |
−0.561738 | + | 0.827315i | \(0.689867\pi\) | |||||||
\(830\) | −50.9058 | − | 36.9852i | −1.76696 | − | 1.28378i | ||||
\(831\) | −23.5623 | − | 17.1190i | −0.817367 | − | 0.593852i | ||||
\(832\) | 0.381966 | − | 1.17557i | 0.0132423 | − | 0.0407556i | ||||
\(833\) | −2.65248 | − | 8.16348i | −0.0919028 | − | 0.282848i | ||||
\(834\) | 7.09017 | − | 5.15131i | 0.245513 | − | 0.178375i | ||||
\(835\) | −10.6525 | −0.368644 | ||||||||
\(836\) | −4.00000 | + | 0.898056i | −0.138343 | + | 0.0310599i | ||||
\(837\) | −6.38197 | −0.220593 | ||||||||
\(838\) | −23.4443 | + | 17.0333i | −0.809869 | + | 0.588404i | ||||
\(839\) | 11.4721 | + | 35.3076i | 0.396062 | + | 1.21895i | 0.928131 | + | 0.372253i | \(0.121415\pi\) |
−0.532069 | + | 0.846701i | \(0.678585\pi\) | |||||||
\(840\) | 2.83688 | − | 8.73102i | 0.0978817 | − | 0.301249i | ||||
\(841\) | 17.9164 | + | 13.0170i | 0.617807 | + | 0.448863i | ||||
\(842\) | 4.14590 | + | 3.01217i | 0.142877 | + | 0.103806i | ||||
\(843\) | 5.29180 | − | 16.2865i | 0.182259 | − | 0.560936i | ||||
\(844\) | 8.23607 | + | 25.3480i | 0.283497 | + | 0.872515i | ||||
\(845\) | −35.7705 | + | 25.9888i | −1.23054 | + | 0.894042i | ||||
\(846\) | −6.47214 | −0.222517 | ||||||||
\(847\) | −3.33282 | − | 25.9888i | −0.114517 | − | 0.892986i | ||||
\(848\) | 2.85410 | 0.0980103 | ||||||||
\(849\) | 9.61803 | − | 6.98791i | 0.330090 | − | 0.239824i | ||||
\(850\) | 19.7082 | + | 60.6556i | 0.675986 | + | 2.08047i | ||||
\(851\) | 4.00000 | − | 12.3107i | 0.137118 | − | 0.422007i | ||||
\(852\) | 2.85410 | + | 2.07363i | 0.0977799 | + | 0.0710413i | ||||
\(853\) | −26.6525 | − | 19.3642i | −0.912563 | − | 0.663016i | 0.0290985 | − | 0.999577i | \(-0.490736\pi\) |
−0.941662 | + | 0.336560i | \(0.890736\pi\) | |||||||
\(854\) | −8.27051 | + | 25.4540i | −0.283011 | + | 0.871018i | ||||
\(855\) | −1.47214 | − | 4.53077i | −0.0503460 | − | 0.154949i | ||||
\(856\) | −6.16312 | + | 4.47777i | −0.210651 | + | 0.153047i | ||||
\(857\) | 13.2361 | 0.452135 | 0.226068 | − | 0.974112i | \(-0.427413\pi\) | ||||
0.226068 | + | 0.974112i | \(0.427413\pi\) | |||||||
\(858\) | 4.00000 | − | 0.898056i | 0.136558 | − | 0.0306591i | ||||
\(859\) | 53.5967 | 1.82870 | 0.914349 | − | 0.404928i | \(-0.132703\pi\) | ||||
0.914349 | + | 0.404928i | \(0.132703\pi\) | |||||||
\(860\) | 3.85410 | − | 2.80017i | 0.131424 | − | 0.0954850i | ||||
\(861\) | −0.909830 | − | 2.80017i | −0.0310069 | − | 0.0954295i | ||||
\(862\) | −0.854102 | + | 2.62866i | −0.0290908 | + | 0.0895324i | ||||
\(863\) | −5.85410 | − | 4.25325i | −0.199276 | − | 0.144782i | 0.483672 | − | 0.875249i | \(-0.339303\pi\) |
−0.682948 | + | 0.730467i | \(0.739303\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | 12.9271 | − | 39.7854i | 0.439533 | − | 1.35274i | ||||
\(866\) | −1.02786 | − | 3.16344i | −0.0349282 | − | 0.107498i | ||||
\(867\) | 20.1353 | − | 14.6291i | 0.683829 | − | 0.496831i | ||||
\(868\) | 15.2016 | 0.515977 | ||||||||
\(869\) | 13.8607 | − | 15.7517i | 0.470191 | − | 0.534339i | ||||
\(870\) | −10.0902 | −0.342089 | ||||||||
\(871\) | −4.00000 | + | 2.90617i | −0.135535 | + | 0.0984718i | ||||
\(872\) | −2.90983 | − | 8.95554i | −0.0985393 | − | 0.303273i | ||||
\(873\) | −1.33688 | + | 4.11450i | −0.0452466 | + | 0.139255i | ||||
\(874\) | −1.23607 | − | 0.898056i | −0.0418106 | − | 0.0303772i | ||||
\(875\) | 36.0517 | + | 26.1931i | 1.21877 | + | 0.885487i | ||||
\(876\) | −1.33688 | + | 4.11450i | −0.0451690 | + | 0.139016i | ||||
\(877\) | 4.43769 | + | 13.6578i | 0.149850 | + | 0.461192i | 0.997603 | − | 0.0692003i | \(-0.0220447\pi\) |
−0.847753 | + | 0.530392i | \(0.822045\pi\) | |||||||
\(878\) | 10.5451 | − | 7.66145i | 0.355879 | − | 0.258562i | ||||
\(879\) | 23.9787 | 0.808782 | ||||||||
\(880\) | 6.51722 | + | 10.9964i | 0.219695 | + | 0.370689i | ||||
\(881\) | −25.7082 | −0.866131 | −0.433066 | − | 0.901362i | \(-0.642568\pi\) | ||||
−0.433066 | + | 0.901362i | \(0.642568\pi\) | |||||||
\(882\) | 1.07295 | − | 0.779543i | 0.0361281 | − | 0.0262486i | ||||
\(883\) | 15.5066 | + | 47.7243i | 0.521838 | + | 1.60605i | 0.770485 | + | 0.637458i | \(0.220014\pi\) |
−0.248647 | + | 0.968594i | \(0.579986\pi\) | |||||||
\(884\) | 2.47214 | − | 7.60845i | 0.0831469 | − | 0.255900i | ||||
\(885\) | −8.89919 | − | 6.46564i | −0.299143 | − | 0.217340i | ||||
\(886\) | 14.0172 | + | 10.1841i | 0.470918 | + | 0.342142i | ||||
\(887\) | 11.9098 | − | 36.6547i | 0.399893 | − | 1.23074i | −0.525192 | − | 0.850984i | \(-0.676006\pi\) |
0.925085 | − | 0.379760i | \(-0.123994\pi\) | |||||||
\(888\) | −3.23607 | − | 9.95959i | −0.108595 | − | 0.334222i | ||||
\(889\) | −23.1246 | + | 16.8010i | −0.775575 | + | 0.563488i | ||||
\(890\) | −6.58359 | −0.220683 | ||||||||
\(891\) | −0.309017 | + | 3.30220i | −0.0103525 | + | 0.110628i | ||||
\(892\) | −13.0902 | −0.438291 | ||||||||
\(893\) | 6.47214 | − | 4.70228i | 0.216582 | − | 0.157356i | ||||
\(894\) | −1.11803 | − | 3.44095i | −0.0373927 | − | 0.115083i | ||||
\(895\) | 10.2639 | − | 31.5891i | 0.343085 | − | 1.05591i | ||||
\(896\) | −1.92705 | − | 1.40008i | −0.0643783 | − | 0.0467735i | ||||
\(897\) | 1.23607 | + | 0.898056i | 0.0412711 | + | 0.0299852i | ||||
\(898\) | 0.0344419 | − | 0.106001i | 0.00114934 | − | 0.00353730i | ||||
\(899\) | −5.16312 | − | 15.8904i | −0.172200 | − | 0.529976i | ||||
\(900\) | −7.97214 | + | 5.79210i | −0.265738 | + | 0.193070i | ||||
\(901\) | 18.4721 | 0.615396 | ||||||||
\(902\) | 3.76393 | + | 1.62460i | 0.125325 | + | 0.0540932i | ||||
\(903\) | −2.94427 | −0.0979792 | ||||||||
\(904\) | 2.85410 | − | 2.07363i | 0.0949260 | − | 0.0689678i | ||||
\(905\) | 8.96556 | + | 27.5932i | 0.298025 | + | 0.917227i | ||||
\(906\) | 1.95492 | − | 6.01661i | 0.0649477 | − | 0.199888i | ||||
\(907\) | −11.4721 | − | 8.33499i | −0.380926 | − | 0.276759i | 0.380801 | − | 0.924657i | \(-0.375648\pi\) |
−0.761727 | + | 0.647898i | \(0.775648\pi\) | |||||||
\(908\) | 11.2082 | + | 8.14324i | 0.371957 | + | 0.270243i | ||||
\(909\) | −4.51722 | + | 13.9026i | −0.149827 | + | 0.461119i | ||||
\(910\) | −3.50658 | − | 10.7921i | −0.116242 | − | 0.357756i | ||||
\(911\) | −24.5066 | + | 17.8051i | −0.811939 | + | 0.589908i | −0.914392 | − | 0.404830i | \(-0.867331\pi\) |
0.102453 | + | 0.994738i | \(0.467331\pi\) | |||||||
\(912\) | −1.23607 | −0.0409303 | ||||||||
\(913\) | −49.7148 | − | 21.4580i | −1.64532 | − | 0.710157i | ||||
\(914\) | 24.9787 | 0.826222 | ||||||||
\(915\) | 35.0344 | − | 25.4540i | 1.15820 | − | 0.841484i | ||||
\(916\) | 1.56231 | + | 4.80828i | 0.0516200 | + | 0.158870i | ||||
\(917\) | 13.4483 | − | 41.3897i | 0.444103 | − | 1.36681i | ||||
\(918\) | 5.23607 | + | 3.80423i | 0.172816 | + | 0.125558i | ||||
\(919\) | −13.5344 | − | 9.83335i | −0.446460 | − | 0.324372i | 0.341737 | − | 0.939796i | \(-0.388985\pi\) |
−0.788197 | + | 0.615424i | \(0.788985\pi\) | |||||||
\(920\) | −1.47214 | + | 4.53077i | −0.0485349 | + | 0.149375i | ||||
\(921\) | −4.52786 | − | 13.9353i | −0.149198 | − | 0.459185i | ||||
\(922\) | 10.3820 | − | 7.54294i | 0.341912 | − | 0.248413i | ||||
\(923\) | 4.36068 | 0.143534 | ||||||||
\(924\) | 0.736068 | − | 7.86572i | 0.0242149 | − | 0.258763i | ||||
\(925\) | 103.193 | 3.39298 | ||||||||
\(926\) | −6.39919 | + | 4.64928i | −0.210290 | + | 0.152785i | ||||
\(927\) | −5.26393 | − | 16.2007i | −0.172890 | − | 0.532101i | ||||
\(928\) | −0.809017 | + | 2.48990i | −0.0265573 | + | 0.0817349i | ||||
\(929\) | −13.8541 | − | 10.0656i | −0.454538 | − | 0.330241i | 0.336847 | − | 0.941560i | \(-0.390640\pi\) |
−0.791385 | + | 0.611318i | \(0.790640\pi\) | |||||||
\(930\) | −19.8992 | − | 14.4576i | −0.652520 | − | 0.474084i | ||||
\(931\) | −0.506578 | + | 1.55909i | −0.0166024 | + | 0.0510970i | ||||
\(932\) | 2.76393 | + | 8.50651i | 0.0905356 | + | 0.278640i | ||||
\(933\) | 9.61803 | − | 6.98791i | 0.314880 | − | 0.228774i | ||||
\(934\) | −0.562306 | −0.0183992 | ||||||||
\(935\) | 42.1803 | + | 71.1702i | 1.37944 | + | 2.32752i | ||||
\(936\) | 1.23607 | 0.0404021 | ||||||||
\(937\) | 23.0172 | − | 16.7230i | 0.751940 | − | 0.546316i | −0.144488 | − | 0.989507i | \(-0.546153\pi\) |
0.896428 | + | 0.443190i | \(0.146153\pi\) | |||||||
\(938\) | 2.94427 | + | 9.06154i | 0.0961339 | + | 0.295870i | ||||
\(939\) | −6.75329 | + | 20.7845i | −0.220385 | + | 0.678276i | ||||
\(940\) | −20.1803 | − | 14.6619i | −0.658210 | − | 0.478218i | ||||
\(941\) | −36.2705 | − | 26.3521i | −1.18238 | − | 0.859053i | −0.189946 | − | 0.981795i | \(-0.560831\pi\) |
−0.992439 | + | 0.122742i | \(0.960831\pi\) | |||||||
\(942\) | 1.38197 | − | 4.25325i | 0.0450269 | − | 0.138579i | ||||
\(943\) | 0.472136 | + | 1.45309i | 0.0153749 | + | 0.0473190i | ||||
\(944\) | −2.30902 | + | 1.67760i | −0.0751521 | + | 0.0546012i | ||||
\(945\) | 9.18034 | 0.298636 | ||||||||
\(946\) | 2.70820 | − | 3.07768i | 0.0880513 | − | 0.100064i | ||||
\(947\) | −13.3262 | −0.433045 | −0.216522 | − | 0.976278i | \(-0.569471\pi\) | ||||
−0.216522 | + | 0.976278i | \(0.569471\pi\) | |||||||
\(948\) | 5.11803 | − | 3.71847i | 0.166226 | − | 0.120770i | ||||
\(949\) | 1.65248 | + | 5.08580i | 0.0536416 | + | 0.165092i | ||||
\(950\) | 3.76393 | − | 11.5842i | 0.122118 | − | 0.375841i | ||||
\(951\) | 12.8541 | + | 9.33905i | 0.416823 | + | 0.302840i | ||||
\(952\) | −12.4721 | − | 9.06154i | −0.404224 | − | 0.293686i | ||||
\(953\) | −12.5836 | + | 38.7283i | −0.407623 | + | 1.25453i | 0.511063 | + | 0.859543i | \(0.329252\pi\) |
−0.918685 | + | 0.394990i | \(0.870748\pi\) | |||||||
\(954\) | 0.881966 | + | 2.71441i | 0.0285547 | + | 0.0878823i | ||||
\(955\) | 42.1803 | − | 30.6458i | 1.36492 | − | 0.991675i | ||||
\(956\) | −7.52786 | −0.243469 | ||||||||
\(957\) | −8.47214 | + | 1.90211i | −0.273865 | + | 0.0614866i | ||||
\(958\) | −2.76393 | −0.0892986 | ||||||||
\(959\) | −33.0000 | + | 23.9759i | −1.06563 | + | 0.774222i | ||||
\(960\) | 1.19098 | + | 3.66547i | 0.0384388 | + | 0.118302i | ||||
\(961\) | 3.00658 | − | 9.25330i | 0.0969864 | − | 0.298493i | ||||
\(962\) | −10.4721 | − | 7.60845i | −0.337635 | − | 0.245306i | ||||
\(963\) | −6.16312 | − | 4.47777i | −0.198604 | − | 0.144294i | ||||
\(964\) | −6.97214 | + | 21.4580i | −0.224557 | + | 0.691117i | ||||
\(965\) | 18.2533 | + | 56.1778i | 0.587594 | + | 1.80843i | ||||
\(966\) | 2.38197 | − | 1.73060i | 0.0766385 | − | 0.0556811i | ||||
\(967\) | −46.6869 | −1.50135 | −0.750675 | − | 0.660672i | \(-0.770272\pi\) | ||||
−0.750675 | + | 0.660672i | \(0.770272\pi\) | |||||||
\(968\) | 7.54508 | + | 8.00448i | 0.242508 | + | 0.257274i | ||||
\(969\) | −8.00000 | −0.256997 | ||||||||
\(970\) | −13.4894 | + | 9.80059i | −0.433117 | + | 0.314678i | ||||
\(971\) | 16.4721 | + | 50.6960i | 0.528616 | + | 1.62691i | 0.757053 | + | 0.653354i | \(0.226639\pi\) |
−0.228437 | + | 0.973559i | \(0.573361\pi\) | |||||||
\(972\) | −0.309017 | + | 0.951057i | −0.00991172 | + | 0.0305052i | ||||
\(973\) | −16.8885 | − | 12.2702i | −0.541422 | − | 0.393366i | ||||
\(974\) | 17.7812 | + | 12.9188i | 0.569745 | + | 0.413944i | ||||
\(975\) | −3.76393 | + | 11.5842i | −0.120542 | + | 0.370991i | ||||
\(976\) | −3.47214 | − | 10.6861i | −0.111140 | − | 0.342055i | ||||
\(977\) | 33.3607 | − | 24.2380i | 1.06730 | − | 0.775441i | 0.0918772 | − | 0.995770i | \(-0.470713\pi\) |
0.975425 | + | 0.220330i | \(0.0707133\pi\) | |||||||
\(978\) | −13.4164 | −0.429009 | ||||||||
\(979\) | −5.52786 | + | 1.24108i | −0.176671 | + | 0.0396652i | ||||
\(980\) | 5.11146 | 0.163279 | ||||||||
\(981\) | 7.61803 | − | 5.53483i | 0.243225 | − | 0.176713i | ||||
\(982\) | −11.8197 | − | 36.3772i | −0.377181 | − | 1.16084i | ||||
\(983\) | 9.61803 | − | 29.6013i | 0.306768 | − | 0.944134i | −0.672244 | − | 0.740330i | \(-0.734669\pi\) |
0.979012 | − | 0.203804i | \(-0.0653306\pi\) | |||||||
\(984\) | 1.00000 | + | 0.726543i | 0.0318788 | + | 0.0231613i | ||||
\(985\) | −15.8713 | − | 11.5312i | −0.505702 | − | 0.367414i | ||||
\(986\) | −5.23607 | + | 16.1150i | −0.166750 | + | 0.513205i | ||||
\(987\) | 4.76393 | + | 14.6619i | 0.151638 | + | 0.466693i | ||||
\(988\) | −1.23607 | + | 0.898056i | −0.0393246 | + | 0.0285710i | ||||
\(989\) | 1.52786 | 0.0485833 | ||||||||
\(990\) | −8.44427 | + | 9.59632i | −0.268377 | + | 0.304991i | ||||
\(991\) | 14.6869 | 0.466545 | 0.233273 | − | 0.972411i | \(-0.425057\pi\) | ||||
0.233273 | + | 0.972411i | \(0.425057\pi\) | |||||||
\(992\) | −5.16312 | + | 3.75123i | −0.163929 | + | 0.119102i | ||||
\(993\) | 2.76393 | + | 8.50651i | 0.0877107 | + | 0.269946i | ||||
\(994\) | 2.59675 | − | 7.99197i | 0.0823638 | − | 0.253490i | ||||
\(995\) | 61.9058 | + | 44.9772i | 1.96254 | + | 1.42587i | ||||
\(996\) | −13.2082 | − | 9.59632i | −0.418518 | − | 0.304071i | ||||
\(997\) | −11.1115 | + | 34.1975i | −0.351903 | + | 1.08305i | 0.605880 | + | 0.795556i | \(0.292821\pi\) |
−0.957783 | + | 0.287491i | \(0.907179\pi\) | |||||||
\(998\) | 6.00000 | + | 18.4661i | 0.189927 | + | 0.584534i | ||||
\(999\) | 8.47214 | − | 6.15537i | 0.268047 | − | 0.194747i |
(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 | 66.2.e.a.25.1 | ✓ | 4 | |
3.2 | odd | 2 | 198.2.f.c.91.1 | 4 | |||
4.3 | odd | 2 | 528.2.y.d.289.1 | 4 | |||
11.2 | odd | 10 | 726.2.a.j.1.1 | 2 | |||
11.3 | even | 5 | 726.2.e.f.511.1 | 4 | |||
11.4 | even | 5 | inner | 66.2.e.a.37.1 | yes | 4 | |
11.5 | even | 5 | 726.2.e.f.493.1 | 4 | |||
11.6 | odd | 10 | 726.2.e.n.493.1 | 4 | |||
11.7 | odd | 10 | 726.2.e.r.565.1 | 4 | |||
11.8 | odd | 10 | 726.2.e.n.511.1 | 4 | |||
11.9 | even | 5 | 726.2.a.l.1.1 | 2 | |||
11.10 | odd | 2 | 726.2.e.r.487.1 | 4 | |||
33.2 | even | 10 | 2178.2.a.bb.1.2 | 2 | |||
33.20 | odd | 10 | 2178.2.a.t.1.2 | 2 | |||
33.26 | odd | 10 | 198.2.f.c.37.1 | 4 | |||
44.15 | odd | 10 | 528.2.y.d.433.1 | 4 | |||
44.31 | odd | 10 | 5808.2.a.cb.1.1 | 2 | |||
44.35 | even | 10 | 5808.2.a.cg.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
66.2.e.a.25.1 | ✓ | 4 | 1.1 | even | 1 | trivial | |
66.2.e.a.37.1 | yes | 4 | 11.4 | even | 5 | inner | |
198.2.f.c.37.1 | 4 | 33.26 | odd | 10 | |||
198.2.f.c.91.1 | 4 | 3.2 | odd | 2 | |||
528.2.y.d.289.1 | 4 | 4.3 | odd | 2 | |||
528.2.y.d.433.1 | 4 | 44.15 | odd | 10 | |||
726.2.a.j.1.1 | 2 | 11.2 | odd | 10 | |||
726.2.a.l.1.1 | 2 | 11.9 | even | 5 | |||
726.2.e.f.493.1 | 4 | 11.5 | even | 5 | |||
726.2.e.f.511.1 | 4 | 11.3 | even | 5 | |||
726.2.e.n.493.1 | 4 | 11.6 | odd | 10 | |||
726.2.e.n.511.1 | 4 | 11.8 | odd | 10 | |||
726.2.e.r.487.1 | 4 | 11.10 | odd | 2 | |||
726.2.e.r.565.1 | 4 | 11.7 | odd | 10 | |||
2178.2.a.t.1.2 | 2 | 33.20 | odd | 10 | |||
2178.2.a.bb.1.2 | 2 | 33.2 | even | 10 | |||
5808.2.a.cb.1.1 | 2 | 44.31 | odd | 10 | |||
5808.2.a.cg.1.1 | 2 | 44.35 | even | 10 |