Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,3,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), 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: | \(0.899184872389\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 12x^{14} + 180x^{12} - 2562x^{10} + 25179x^{8} - 96398x^{6} + 239275x^{4} - 536393x^{2} + 1771561 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 20.3 | ||
Root | \(1.90610 + 0.619331i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.20 |
Dual form | 33.3.h.b.5.3 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.90610 | + | 0.619331i | 0.953052 | + | 0.309666i | 0.743955 | − | 0.668229i | \(-0.232948\pi\) |
0.209097 | + | 0.977895i | \(0.432948\pi\) | |||||||
\(3\) | −1.63362 | + | 2.51621i | −0.544540 | + | 0.838735i | ||||
\(4\) | 0.0135968 | + | 0.00987866i | 0.00339920 | + | 0.00246966i | ||||
\(5\) | 5.21596 | − | 1.69477i | 1.04319 | − | 0.338953i | 0.263198 | − | 0.964742i | \(-0.415223\pi\) |
0.779993 | + | 0.625788i | \(0.215223\pi\) | |||||||
\(6\) | −4.67221 | + | 3.78440i | −0.778702 | + | 0.630733i | ||||
\(7\) | −4.52308 | − | 3.28621i | −0.646155 | − | 0.469459i | 0.215804 | − | 0.976437i | \(-0.430763\pi\) |
−0.861959 | + | 0.506978i | \(0.830763\pi\) | |||||||
\(8\) | −4.69235 | − | 6.45847i | −0.586544 | − | 0.807308i | ||||
\(9\) | −3.66258 | − | 8.22104i | −0.406953 | − | 0.913449i | ||||
\(10\) | 10.9918 | 1.09918 | ||||||||
\(11\) | 2.23693 | + | 10.7702i | 0.203357 | + | 0.979105i | ||||
\(12\) | −0.0470687 | + | 0.0180744i | −0.00392239 | + | 0.00150620i | ||||
\(13\) | −3.00265 | + | 9.24122i | −0.230973 | + | 0.710863i | 0.766657 | + | 0.642057i | \(0.221919\pi\) |
−0.997630 | + | 0.0688058i | \(0.978081\pi\) | |||||||
\(14\) | −6.58622 | − | 9.06515i | −0.470444 | − | 0.647511i | ||||
\(15\) | −4.25650 | + | 15.8930i | −0.283767 | + | 1.05953i | ||||
\(16\) | −4.96496 | − | 15.2806i | −0.310310 | − | 0.955036i | ||||
\(17\) | 16.9969 | − | 5.52262i | 0.999817 | − | 0.324860i | 0.237024 | − | 0.971504i | \(-0.423828\pi\) |
0.762792 | + | 0.646643i | \(0.223828\pi\) | |||||||
\(18\) | −1.88972 | − | 17.9385i | −0.104984 | − | 0.996584i | ||||
\(19\) | −15.0954 | + | 10.9674i | −0.794493 | + | 0.577233i | −0.909293 | − | 0.416156i | \(-0.863377\pi\) |
0.114801 | + | 0.993389i | \(0.463377\pi\) | |||||||
\(20\) | 0.0876624 | + | 0.0284832i | 0.00438312 | + | 0.00142416i | ||||
\(21\) | 15.6578 | − | 6.01259i | 0.745609 | − | 0.286314i | ||||
\(22\) | −2.40646 | + | 21.9144i | −0.109385 | + | 0.996111i | ||||
\(23\) | 12.3649i | 0.537603i | 0.963196 | + | 0.268801i | \(0.0866275\pi\) | ||||
−0.963196 | + | 0.268801i | \(0.913372\pi\) | |||||||
\(24\) | 23.9163 | − | 1.25625i | 0.996514 | − | 0.0523437i | ||||
\(25\) | 4.10855 | − | 2.98503i | 0.164342 | − | 0.119401i | ||||
\(26\) | −11.4467 | + | 15.7551i | −0.440260 | + | 0.605965i | ||||
\(27\) | 26.6691 | + | 4.21424i | 0.987744 | + | 0.156083i | ||||
\(28\) | −0.0290361 | − | 0.0893640i | −0.00103700 | − | 0.00319157i | ||||
\(29\) | −1.45613 | + | 2.00420i | −0.0502115 | + | 0.0691102i | −0.833384 | − | 0.552694i | \(-0.813600\pi\) |
0.783173 | + | 0.621804i | \(0.213600\pi\) | |||||||
\(30\) | −17.9564 | + | 27.6576i | −0.598546 | + | 0.921919i | ||||
\(31\) | 15.2132 | − | 46.8213i | 0.490747 | − | 1.51037i | −0.332733 | − | 0.943021i | \(-0.607971\pi\) |
0.823481 | − | 0.567344i | \(-0.192029\pi\) | |||||||
\(32\) | − | 0.268903i | − | 0.00840323i | ||||||
\(33\) | −30.7542 | − | 11.9657i | −0.931946 | − | 0.362598i | ||||
\(34\) | 35.8182 | 1.05348 | ||||||||
\(35\) | −29.1616 | − | 9.47517i | −0.833188 | − | 0.270719i | ||||
\(36\) | 0.0314134 | − | 0.147961i | 0.000872596 | − | 0.00411003i | ||||
\(37\) | 31.8192 | + | 23.1180i | 0.859979 | + | 0.624811i | 0.927879 | − | 0.372881i | \(-0.121630\pi\) |
−0.0679003 | + | 0.997692i | \(0.521630\pi\) | |||||||
\(38\) | −35.5658 | + | 11.5560i | −0.935942 | + | 0.304106i | ||||
\(39\) | −18.3476 | − | 22.6519i | −0.470452 | − | 0.580819i | ||||
\(40\) | −35.4207 | − | 25.7346i | −0.885518 | − | 0.643366i | ||||
\(41\) | −33.2237 | − | 45.7285i | −0.810335 | − | 1.11533i | −0.991272 | − | 0.131835i | \(-0.957913\pi\) |
0.180937 | − | 0.983495i | \(-0.442087\pi\) | |||||||
\(42\) | 33.5692 | − | 1.76328i | 0.799266 | − | 0.0419828i | ||||
\(43\) | −43.9060 | −1.02107 | −0.510534 | − | 0.859857i | \(-0.670552\pi\) | ||||
−0.510534 | + | 0.859857i | \(0.670552\pi\) | |||||||
\(44\) | −0.0759795 | + | 0.168537i | −0.00172681 | + | 0.00383040i | ||||
\(45\) | −33.0366 | − | 36.6734i | −0.734147 | − | 0.814964i | ||||
\(46\) | −7.65794 | + | 23.5687i | −0.166477 | + | 0.512364i | ||||
\(47\) | 33.9646 | + | 46.7482i | 0.722651 | + | 0.994643i | 0.999432 | + | 0.0337102i | \(0.0107323\pi\) |
−0.276781 | + | 0.960933i | \(0.589268\pi\) | |||||||
\(48\) | 46.5599 | + | 12.4698i | 0.969998 | + | 0.259787i | ||||
\(49\) | −5.48274 | − | 16.8741i | −0.111893 | − | 0.344370i | ||||
\(50\) | 9.68004 | − | 3.14524i | 0.193601 | − | 0.0629047i | ||||
\(51\) | −13.8704 | + | 51.7895i | −0.271968 | + | 1.01548i | ||||
\(52\) | −0.132117 | + | 0.0959889i | −0.00254072 | + | 0.00184594i | ||||
\(53\) | 41.0056 | + | 13.3235i | 0.773690 | + | 0.251387i | 0.669144 | − | 0.743133i | \(-0.266661\pi\) |
0.104546 | + | 0.994520i | \(0.466661\pi\) | |||||||
\(54\) | 48.2241 | + | 24.5498i | 0.893038 | + | 0.454625i | ||||
\(55\) | 29.9206 | + | 52.3856i | 0.544012 | + | 0.952465i | ||||
\(56\) | 44.6323i | 0.797005i | ||||||||
\(57\) | −2.93623 | − | 55.8996i | −0.0515127 | − | 0.980695i | ||||
\(58\) | −4.01681 | + | 2.91838i | −0.0692553 | + | 0.0503169i | ||||
\(59\) | 52.9190 | − | 72.8367i | 0.896932 | − | 1.23452i | −0.0745046 | − | 0.997221i | \(-0.523738\pi\) |
0.971436 | − | 0.237300i | \(-0.0762625\pi\) | |||||||
\(60\) | −0.214877 | + | 0.174046i | −0.00358128 | + | 0.00290076i | ||||
\(61\) | −9.53920 | − | 29.3587i | −0.156380 | − | 0.481289i | 0.841918 | − | 0.539606i | \(-0.181427\pi\) |
−0.998298 | + | 0.0583165i | \(0.981427\pi\) | |||||||
\(62\) | 57.9958 | − | 79.8244i | 0.935416 | − | 1.28749i | ||||
\(63\) | −10.4499 | + | 49.2205i | −0.165872 | + | 0.781278i | ||||
\(64\) | −19.6933 | + | 60.6097i | −0.307708 | + | 0.947027i | ||||
\(65\) | 53.2906i | 0.819855i | ||||||||
\(66\) | −51.2100 | − | 41.8550i | −0.775909 | − | 0.634166i | ||||
\(67\) | 34.0775 | 0.508620 | 0.254310 | − | 0.967123i | \(-0.418152\pi\) | ||||
0.254310 | + | 0.967123i | \(0.418152\pi\) | |||||||
\(68\) | 0.285659 | + | 0.0928164i | 0.00420087 | + | 0.00136495i | ||||
\(69\) | −31.1125 | − | 20.1995i | −0.450906 | − | 0.292746i | ||||
\(70\) | −49.7168 | − | 36.1213i | −0.710240 | − | 0.516019i | ||||
\(71\) | −35.7561 | + | 11.6179i | −0.503607 | + | 0.163632i | −0.549793 | − | 0.835301i | \(-0.685293\pi\) |
0.0461856 | + | 0.998933i | \(0.485293\pi\) | |||||||
\(72\) | −35.9092 | + | 62.2307i | −0.498739 | + | 0.864315i | ||||
\(73\) | 9.81022 | + | 7.12754i | 0.134387 | + | 0.0976375i | 0.652948 | − | 0.757403i | \(-0.273532\pi\) |
−0.518561 | + | 0.855041i | \(0.673532\pi\) | |||||||
\(74\) | 46.3331 | + | 63.7720i | 0.626123 | + | 0.861784i | ||||
\(75\) | 0.799160 | + | 15.2144i | 0.0106555 | + | 0.202858i | ||||
\(76\) | −0.313592 | −0.00412621 | ||||||||
\(77\) | 25.2752 | − | 56.0653i | 0.328249 | − | 0.728121i | ||||
\(78\) | −20.9434 | − | 54.5402i | −0.268506 | − | 0.699233i | ||||
\(79\) | −19.5128 | + | 60.0542i | −0.246997 | + | 0.760180i | 0.748304 | + | 0.663356i | \(0.230868\pi\) |
−0.995302 | + | 0.0968240i | \(0.969132\pi\) | |||||||
\(80\) | −51.7940 | − | 71.2884i | −0.647425 | − | 0.891104i | ||||
\(81\) | −54.1710 | + | 60.2204i | −0.668778 | + | 0.743462i | ||||
\(82\) | −35.0068 | − | 107.740i | −0.426912 | − | 1.31390i | ||||
\(83\) | −9.22665 | + | 2.99792i | −0.111164 | + | 0.0361195i | −0.364071 | − | 0.931371i | \(-0.618613\pi\) |
0.252907 | + | 0.967491i | \(0.418613\pi\) | |||||||
\(84\) | 0.272292 | + | 0.0729258i | 0.00324157 | + | 0.000868165i | ||||
\(85\) | 79.2955 | − | 57.6115i | 0.932888 | − | 0.677783i | ||||
\(86\) | −83.6893 | − | 27.1923i | −0.973132 | − | 0.316190i | ||||
\(87\) | −2.66420 | − | 6.93803i | −0.0306230 | − | 0.0797474i | ||||
\(88\) | 59.0622 | − | 64.9845i | 0.671161 | − | 0.738460i | ||||
\(89\) | 34.1289i | 0.383471i | 0.981447 | + | 0.191735i | \(0.0614115\pi\) | ||||
−0.981447 | + | 0.191735i | \(0.938588\pi\) | |||||||
\(90\) | −40.2583 | − | 90.3639i | −0.447314 | − | 1.00404i | ||||
\(91\) | 43.9499 | − | 31.9315i | 0.482966 | − | 0.350895i | ||||
\(92\) | −0.122148 | + | 0.168123i | −0.00132770 | + | 0.00182742i | ||||
\(93\) | 92.9595 | + | 114.768i | 0.999565 | + | 1.23406i | ||||
\(94\) | 35.7874 | + | 110.142i | 0.380717 | + | 1.17173i | ||||
\(95\) | −60.1495 | + | 82.7887i | −0.633153 | + | 0.871460i | ||||
\(96\) | 0.676616 | + | 0.439286i | 0.00704809 | + | 0.00457589i | ||||
\(97\) | −11.6879 | + | 35.9715i | −0.120493 | + | 0.370841i | −0.993053 | − | 0.117667i | \(-0.962458\pi\) |
0.872560 | + | 0.488507i | \(0.162458\pi\) | |||||||
\(98\) | − | 35.5595i | − | 0.362852i | ||||||
\(99\) | 80.3489 | − | 57.8364i | 0.811605 | − | 0.584207i | ||||
\(100\) | 0.0853512 | 0.000853512 | ||||||||
\(101\) | 44.6091 | + | 14.4944i | 0.441674 | + | 0.143509i | 0.521408 | − | 0.853308i | \(-0.325407\pi\) |
−0.0797339 | + | 0.996816i | \(0.525407\pi\) | |||||||
\(102\) | −58.5132 | + | 90.1259i | −0.573659 | + | 0.883587i | ||||
\(103\) | −84.7824 | − | 61.5980i | −0.823130 | − | 0.598039i | 0.0944773 | − | 0.995527i | \(-0.469882\pi\) |
−0.917607 | + | 0.397488i | \(0.869882\pi\) | |||||||
\(104\) | 73.7736 | − | 23.9705i | 0.709362 | − | 0.230486i | ||||
\(105\) | 71.4804 | − | 57.8977i | 0.680766 | − | 0.551407i | ||||
\(106\) | 69.9092 | + | 50.7920i | 0.659521 | + | 0.479170i | ||||
\(107\) | −27.4085 | − | 37.7246i | −0.256154 | − | 0.352566i | 0.661500 | − | 0.749945i | \(-0.269920\pi\) |
−0.917655 | + | 0.397378i | \(0.869920\pi\) | |||||||
\(108\) | 0.320983 | + | 0.320755i | 0.00297207 | + | 0.00296995i | ||||
\(109\) | −168.413 | −1.54507 | −0.772537 | − | 0.634969i | \(-0.781013\pi\) | ||||
−0.772537 | + | 0.634969i | \(0.781013\pi\) | |||||||
\(110\) | 24.5879 | + | 118.383i | 0.223526 | + | 1.07621i | ||||
\(111\) | −110.150 | + | 42.2977i | −0.992344 | + | 0.381060i | ||||
\(112\) | −27.7583 | + | 85.4312i | −0.247842 | + | 0.762779i | ||||
\(113\) | 27.2263 | + | 37.4738i | 0.240941 | + | 0.331627i | 0.912313 | − | 0.409494i | \(-0.134295\pi\) |
−0.671372 | + | 0.741121i | \(0.734295\pi\) | |||||||
\(114\) | 29.0236 | − | 108.369i | 0.254593 | − | 0.950606i | ||||
\(115\) | 20.9556 | + | 64.4946i | 0.182222 | + | 0.560822i | ||||
\(116\) | −0.0395975 | + | 0.0128660i | −0.000341358 | + | 0.000110914i | ||||
\(117\) | 86.9699 | − | 9.16177i | 0.743332 | − | 0.0783057i | ||||
\(118\) | 145.979 | − | 106.060i | 1.23711 | − | 0.898814i | ||||
\(119\) | −95.0269 | − | 30.8761i | −0.798545 | − | 0.259463i | ||||
\(120\) | 122.618 | − | 47.0852i | 1.02181 | − | 0.392376i | ||||
\(121\) | −110.992 | + | 48.1842i | −0.917292 | + | 0.398216i | ||||
\(122\) | − | 61.8686i | − | 0.507120i | ||||||
\(123\) | 169.337 | − | 8.89474i | 1.37673 | − | 0.0723149i | ||||
\(124\) | 0.669382 | − | 0.486335i | 0.00539824 | − | 0.00392205i | ||||
\(125\) | −64.2199 | + | 88.3911i | −0.513759 | + | 0.707129i | ||||
\(126\) | −50.4024 | + | 87.3474i | −0.400019 | + | 0.693234i | ||||
\(127\) | −21.1024 | − | 64.9465i | −0.166161 | − | 0.511390i | 0.832959 | − | 0.553334i | \(-0.186645\pi\) |
−0.999120 | + | 0.0419443i | \(0.986645\pi\) | |||||||
\(128\) | −75.7072 | + | 104.202i | −0.591462 | + | 0.814078i | ||||
\(129\) | 71.7256 | − | 110.476i | 0.556012 | − | 0.856406i | ||||
\(130\) | −33.0045 | + | 101.577i | −0.253881 | + | 0.781365i | ||||
\(131\) | − | 162.272i | − | 1.23872i | −0.785109 | − | 0.619358i | \(-0.787393\pi\) | ||
0.785109 | − | 0.619358i | \(-0.212607\pi\) | |||||||
\(132\) | −0.299953 | − | 0.466506i | −0.00227237 | − | 0.00353414i | ||||
\(133\) | 104.319 | 0.784353 | ||||||||
\(134\) | 64.9553 | + | 21.1053i | 0.484741 | + | 0.157502i | ||||
\(135\) | 146.247 | − | 23.2166i | 1.08331 | − | 0.171975i | ||||
\(136\) | −115.423 | − | 83.8598i | −0.848699 | − | 0.616616i | ||||
\(137\) | −50.2796 | + | 16.3368i | −0.367004 | + | 0.119247i | −0.486713 | − | 0.873562i | \(-0.661804\pi\) |
0.119708 | + | 0.992809i | \(0.461804\pi\) | |||||||
\(138\) | −46.7936 | − | 57.7713i | −0.339084 | − | 0.418632i | ||||
\(139\) | 70.0088 | + | 50.8644i | 0.503661 | + | 0.365931i | 0.810414 | − | 0.585858i | \(-0.199242\pi\) |
−0.306753 | + | 0.951789i | \(0.599242\pi\) | |||||||
\(140\) | −0.302902 | − | 0.416909i | −0.00216359 | − | 0.00297792i | ||||
\(141\) | −173.113 | + | 9.09308i | −1.22775 | + | 0.0644899i | ||||
\(142\) | −75.3502 | −0.530635 | ||||||||
\(143\) | −106.246 | − | 11.6671i | −0.742979 | − | 0.0815879i | ||||
\(144\) | −107.438 | + | 96.7835i | −0.746095 | + | 0.672107i | ||||
\(145\) | −4.19849 | + | 12.9216i | −0.0289551 | + | 0.0891146i | ||||
\(146\) | 14.2850 | + | 19.6616i | 0.0978424 | + | 0.134669i | ||||
\(147\) | 51.4155 | + | 13.7702i | 0.349765 | + | 0.0936748i | ||||
\(148\) | 0.204265 | + | 0.628662i | 0.00138017 | + | 0.00424772i | ||||
\(149\) | −61.2955 | + | 19.9161i | −0.411379 | + | 0.133665i | −0.507393 | − | 0.861715i | \(-0.669391\pi\) |
0.0960136 | + | 0.995380i | \(0.469391\pi\) | |||||||
\(150\) | −7.89944 | + | 29.4951i | −0.0526629 | + | 0.196634i | ||||
\(151\) | −36.1103 | + | 26.2357i | −0.239141 | + | 0.173746i | −0.700901 | − | 0.713259i | \(-0.747218\pi\) |
0.461760 | + | 0.887005i | \(0.347218\pi\) | |||||||
\(152\) | 141.666 | + | 46.0299i | 0.932010 | + | 0.302828i | ||||
\(153\) | −107.654 | − | 119.505i | −0.703622 | − | 0.781079i | ||||
\(154\) | 82.9002 | − | 91.2127i | 0.538313 | − | 0.592290i | ||||
\(155\) | − | 270.001i | − | 1.74194i | ||||||
\(156\) | −0.0256984 | − | 0.489244i | −0.000164733 | − | 0.00313618i | ||||
\(157\) | 114.125 | − | 82.9166i | 0.726910 | − | 0.528131i | −0.161675 | − | 0.986844i | \(-0.551689\pi\) |
0.888584 | + | 0.458713i | \(0.151689\pi\) | |||||||
\(158\) | −74.3869 | + | 102.385i | −0.470803 | + | 0.648005i | ||||
\(159\) | −100.512 | + | 81.4129i | −0.632152 | + | 0.512031i | ||||
\(160\) | −0.455729 | − | 1.40259i | −0.00284830 | − | 0.00876618i | ||||
\(161\) | 40.6336 | − | 55.9273i | 0.252382 | − | 0.347375i | ||||
\(162\) | −140.552 | + | 81.2367i | −0.867605 | + | 0.501461i | ||||
\(163\) | 37.3801 | − | 115.044i | 0.229326 | − | 0.705793i | −0.768498 | − | 0.639853i | \(-0.778995\pi\) |
0.997824 | − | 0.0659401i | \(-0.0210046\pi\) | |||||||
\(164\) | − | 0.949967i | − | 0.00579248i | ||||||
\(165\) | −180.692 | − | 10.2916i | −1.09510 | − | 0.0623731i | ||||
\(166\) | −19.4437 | −0.117130 | ||||||||
\(167\) | −102.174 | − | 33.1982i | −0.611819 | − | 0.198792i | −0.0133141 | − | 0.999911i | \(-0.504238\pi\) |
−0.598504 | + | 0.801119i | \(0.704238\pi\) | |||||||
\(168\) | −112.304 | − | 72.9121i | −0.668476 | − | 0.434001i | ||||
\(169\) | 60.3397 | + | 43.8393i | 0.357039 | + | 0.259404i | ||||
\(170\) | 186.826 | − | 60.7035i | 1.09898 | − | 0.357079i | ||||
\(171\) | 145.452 | + | 83.9305i | 0.850594 | + | 0.490822i | ||||
\(172\) | −0.596981 | − | 0.433732i | −0.00347082 | − | 0.00252170i | ||||
\(173\) | 193.272 | + | 266.016i | 1.11718 | + | 1.53767i | 0.810393 | + | 0.585887i | \(0.199254\pi\) |
0.306787 | + | 0.951778i | \(0.400746\pi\) | |||||||
\(174\) | −0.781316 | − | 14.8746i | −0.00449032 | − | 0.0854864i | ||||
\(175\) | −28.3928 | −0.162244 | ||||||||
\(176\) | 153.468 | − | 87.6549i | 0.871976 | − | 0.498039i | ||||
\(177\) | 96.8227 | + | 252.142i | 0.547021 | + | 1.42453i | ||||
\(178\) | −21.1371 | + | 65.0533i | −0.118748 | + | 0.365468i | ||||
\(179\) | −28.3892 | − | 39.0743i | −0.158599 | − | 0.218292i | 0.722321 | − | 0.691558i | \(-0.243075\pi\) |
−0.880920 | + | 0.473265i | \(0.843075\pi\) | |||||||
\(180\) | −0.0869087 | − | 0.824998i | −0.000482826 | − | 0.00458332i | ||||
\(181\) | 0.0205705 | + | 0.0633093i | 0.000113649 | + | 0.000349775i | 0.951113 | − | 0.308842i | \(-0.0999415\pi\) |
−0.951000 | + | 0.309192i | \(0.899941\pi\) | |||||||
\(182\) | 103.549 | − | 33.6452i | 0.568952 | − | 0.184864i | ||||
\(183\) | 89.4558 | + | 23.9582i | 0.488830 | + | 0.130919i | ||||
\(184\) | 79.8581 | − | 58.0203i | 0.434011 | − | 0.315328i | ||||
\(185\) | 205.147 | + | 66.6564i | 1.10890 | + | 0.360305i | ||||
\(186\) | 106.111 | + | 276.332i | 0.570492 | + | 1.48566i | ||||
\(187\) | 97.5003 | + | 170.705i | 0.521392 | + | 0.912863i | ||||
\(188\) | 0.971151i | 0.00516570i | ||||||||
\(189\) | −106.778 | − | 106.702i | −0.564961 | − | 0.564559i | ||||
\(190\) | −165.925 | + | 120.552i | −0.873289 | + | 0.634482i | ||||
\(191\) | 116.037 | − | 159.711i | 0.607523 | − | 0.836183i | −0.388848 | − | 0.921302i | \(-0.627127\pi\) |
0.996371 | + | 0.0851188i | \(0.0271270\pi\) | |||||||
\(192\) | −120.335 | − | 148.566i | −0.626746 | − | 0.773779i | ||||
\(193\) | 0.470837 | + | 1.44909i | 0.00243957 | + | 0.00750823i | 0.952269 | − | 0.305260i | \(-0.0987435\pi\) |
−0.949829 | + | 0.312769i | \(0.898744\pi\) | |||||||
\(194\) | −44.5566 | + | 61.3269i | −0.229673 | + | 0.316118i | ||||
\(195\) | −134.090 | − | 87.0565i | −0.687642 | − | 0.446444i | ||||
\(196\) | 0.0921460 | − | 0.283596i | 0.000470133 | − | 0.00144692i | ||||
\(197\) | 215.460i | 1.09370i | 0.837229 | + | 0.546852i | \(0.184174\pi\) | ||||
−0.837229 | + | 0.546852i | \(0.815826\pi\) | |||||||
\(198\) | 188.973 | − | 60.4798i | 0.954411 | − | 0.305453i | ||||
\(199\) | −106.663 | −0.535993 | −0.267997 | − | 0.963420i | \(-0.586362\pi\) | ||||
−0.267997 | + | 0.963420i | \(0.586362\pi\) | |||||||
\(200\) | −38.5575 | − | 12.5281i | −0.192787 | − | 0.0626404i | ||||
\(201\) | −55.6697 | + | 85.7461i | −0.276964 | + | 0.426597i | ||||
\(202\) | 76.0527 | + | 55.2555i | 0.376499 | + | 0.273542i | ||||
\(203\) | 13.1724 | − | 4.27999i | 0.0648889 | − | 0.0210837i | ||||
\(204\) | −0.700204 | + | 0.567151i | −0.00343237 | + | 0.00278015i | ||||
\(205\) | −250.793 | − | 182.212i | −1.22338 | − | 0.888837i | ||||
\(206\) | −123.455 | − | 169.921i | −0.599294 | − | 0.824858i | ||||
\(207\) | 101.652 | − | 45.2873i | 0.491073 | − | 0.218779i | ||||
\(208\) | 156.119 | 0.750573 | ||||||||
\(209\) | −151.888 | − | 138.046i | −0.726737 | − | 0.660507i | ||||
\(210\) | 172.107 | − | 66.0891i | 0.819557 | − | 0.314710i | ||||
\(211\) | 66.3847 | − | 204.311i | 0.314619 | − | 0.968299i | −0.661291 | − | 0.750129i | \(-0.729991\pi\) |
0.975911 | − | 0.218170i | \(-0.0700086\pi\) | |||||||
\(212\) | 0.425926 | + | 0.586237i | 0.00200909 | + | 0.00276527i | ||||
\(213\) | 29.1789 | − | 108.949i | 0.136990 | − | 0.511497i | ||||
\(214\) | −28.8795 | − | 88.8820i | −0.134951 | − | 0.415336i | ||||
\(215\) | −229.012 | + | 74.4104i | −1.06517 | + | 0.346095i | ||||
\(216\) | −97.9232 | − | 192.016i | −0.453348 | − | 0.888964i | ||||
\(217\) | −222.675 | + | 161.783i | −1.02615 | + | 0.745544i | ||||
\(218\) | −321.013 | − | 104.303i | −1.47254 | − | 0.478456i | ||||
\(219\) | −33.9605 | + | 13.0408i | −0.155071 | + | 0.0595472i | ||||
\(220\) | −0.110674 | + | 1.00785i | −0.000503064 | + | 0.00458114i | ||||
\(221\) | 173.654i | 0.785767i | ||||||||
\(222\) | −236.154 | + | 12.4044i | −1.06376 | + | 0.0558757i | ||||
\(223\) | −36.2187 | + | 26.3144i | −0.162416 | + | 0.118002i | −0.666024 | − | 0.745930i | \(-0.732005\pi\) |
0.503609 | + | 0.863932i | \(0.332005\pi\) | |||||||
\(224\) | −0.883674 | + | 1.21627i | −0.00394497 | + | 0.00542979i | ||||
\(225\) | −39.5880 | − | 22.8436i | −0.175946 | − | 0.101527i | ||||
\(226\) | 28.6875 | + | 88.2911i | 0.126936 | + | 0.390669i | ||||
\(227\) | 131.960 | − | 181.627i | 0.581322 | − | 0.800121i | −0.412518 | − | 0.910950i | \(-0.635351\pi\) |
0.993840 | + | 0.110829i | \(0.0353505\pi\) | |||||||
\(228\) | 0.512290 | − | 0.789062i | 0.00224689 | − | 0.00346080i | ||||
\(229\) | −32.1689 | + | 99.0057i | −0.140476 | + | 0.432339i | −0.996401 | − | 0.0847591i | \(-0.972988\pi\) |
0.855926 | + | 0.517099i | \(0.172988\pi\) | |||||||
\(230\) | 135.912i | 0.590921i | ||||||||
\(231\) | 99.7819 | + | 155.187i | 0.431956 | + | 0.671805i | ||||
\(232\) | 19.7767 | 0.0852446 | ||||||||
\(233\) | 58.5176 | + | 19.0135i | 0.251148 | + | 0.0816030i | 0.431886 | − | 0.901928i | \(-0.357848\pi\) |
−0.180737 | + | 0.983531i | \(0.557848\pi\) | |||||||
\(234\) | 171.448 | + | 36.3999i | 0.732683 | + | 0.155555i | ||||
\(235\) | 256.385 | + | 186.275i | 1.09100 | + | 0.792658i | ||||
\(236\) | 1.43906 | − | 0.467578i | 0.00609770 | − | 0.00198126i | ||||
\(237\) | −119.232 | − | 147.204i | −0.503090 | − | 0.621113i | ||||
\(238\) | −162.009 | − | 117.706i | −0.680709 | − | 0.494564i | ||||
\(239\) | 87.7330 | + | 120.754i | 0.367084 | + | 0.505247i | 0.952105 | − | 0.305770i | \(-0.0989140\pi\) |
−0.585022 | + | 0.811018i | \(0.698914\pi\) | |||||||
\(240\) | 263.988 | − | 13.8664i | 1.09995 | − | 0.0577768i | ||||
\(241\) | 358.881 | 1.48913 | 0.744567 | − | 0.667548i | \(-0.232656\pi\) | ||||
0.744567 | + | 0.667548i | \(0.232656\pi\) | |||||||
\(242\) | −241.405 | + | 23.1031i | −0.997541 | + | 0.0954674i | ||||
\(243\) | −63.0323 | − | 234.683i | −0.259392 | − | 0.965772i | ||||
\(244\) | 0.160321 | − | 0.493418i | 0.000657055 | − | 0.00202221i | ||||
\(245\) | −57.1954 | − | 78.7227i | −0.233451 | − | 0.321317i | ||||
\(246\) | 328.283 | + | 87.9215i | 1.33449 | + | 0.357405i | ||||
\(247\) | −56.0262 | − | 172.431i | −0.226827 | − | 0.698101i | ||||
\(248\) | −373.780 | + | 121.448i | −1.50718 | + | 0.489711i | ||||
\(249\) | 7.52944 | − | 28.1136i | 0.0302387 | − | 0.112906i | ||||
\(250\) | −177.153 | + | 128.709i | −0.708613 | + | 0.514837i | ||||
\(251\) | 339.548 | + | 110.326i | 1.35278 | + | 0.439545i | 0.893627 | − | 0.448811i | \(-0.148152\pi\) |
0.459155 | + | 0.888356i | \(0.348152\pi\) | |||||||
\(252\) | −0.628318 | + | 0.566010i | −0.00249332 | + | 0.00224607i | ||||
\(253\) | −133.171 | + | 27.6593i | −0.526369 | + | 0.109325i | ||||
\(254\) | − | 136.864i | − | 0.538836i | ||||||
\(255\) | 15.4239 | + | 293.639i | 0.0604859 | + | 1.15153i | ||||
\(256\) | −2.61054 | + | 1.89667i | −0.0101974 | + | 0.00740886i | ||||
\(257\) | −38.8488 | + | 53.4707i | −0.151162 | + | 0.208057i | −0.877882 | − | 0.478877i | \(-0.841044\pi\) |
0.726720 | + | 0.686934i | \(0.241044\pi\) | |||||||
\(258\) | 205.138 | − | 166.158i | 0.795108 | − | 0.644022i | ||||
\(259\) | −67.9503 | − | 209.130i | −0.262356 | − | 0.807450i | ||||
\(260\) | −0.526440 | + | 0.724582i | −0.00202477 | + | 0.00278685i | ||||
\(261\) | 21.8098 | + | 4.63041i | 0.0835624 | + | 0.0177410i | ||||
\(262\) | 100.500 | − | 309.307i | 0.383587 | − | 1.18056i | ||||
\(263\) | 85.4194i | 0.324789i | 0.986726 | + | 0.162394i | \(0.0519216\pi\) | ||||
−0.986726 | + | 0.162394i | \(0.948078\pi\) | |||||||
\(264\) | 67.0292 | + | 254.772i | 0.253898 | + | 0.965047i | ||||
\(265\) | 236.464 | 0.892315 | ||||||||
\(266\) | 198.843 | + | 64.6079i | 0.747529 | + | 0.242887i | ||||
\(267\) | −85.8753 | − | 55.7536i | −0.321630 | − | 0.208815i | ||||
\(268\) | 0.463345 | + | 0.336640i | 0.00172890 | + | 0.00125612i | ||||
\(269\) | −153.866 | + | 49.9940i | −0.571991 | + | 0.185851i | −0.580710 | − | 0.814111i | \(-0.697225\pi\) |
0.00871848 | + | 0.999962i | \(0.497225\pi\) | |||||||
\(270\) | 293.141 | + | 46.3220i | 1.08571 | + | 0.171563i | ||||
\(271\) | 210.339 | + | 152.820i | 0.776160 | + | 0.563913i | 0.903824 | − | 0.427904i | \(-0.140748\pi\) |
−0.127664 | + | 0.991817i | \(0.540748\pi\) | |||||||
\(272\) | −168.778 | − | 232.303i | −0.620506 | − | 0.854053i | ||||
\(273\) | 8.54877 | + | 162.751i | 0.0313142 | + | 0.596157i | ||||
\(274\) | −105.956 | −0.386701 | ||||||||
\(275\) | 41.3398 | + | 37.5723i | 0.150327 | + | 0.136627i | ||||
\(276\) | −0.223487 | − | 0.581998i | −0.000809737 | − | 0.00210869i | ||||
\(277\) | −26.8202 | + | 82.5441i | −0.0968239 | + | 0.297993i | −0.987725 | − | 0.156205i | \(-0.950074\pi\) |
0.890901 | + | 0.454198i | \(0.150074\pi\) | |||||||
\(278\) | 101.942 | + | 140.312i | 0.366699 | + | 0.504718i | ||||
\(279\) | −440.639 | + | 46.4188i | −1.57935 | + | 0.166376i | ||||
\(280\) | 75.6413 | + | 232.800i | 0.270147 | + | 0.831429i | ||||
\(281\) | 460.991 | − | 149.785i | 1.64054 | − | 0.533043i | 0.663880 | − | 0.747839i | \(-0.268909\pi\) |
0.976659 | + | 0.214796i | \(0.0689086\pi\) | |||||||
\(282\) | −335.604 | − | 89.8821i | −1.19008 | − | 0.318731i | ||||
\(283\) | −349.554 | + | 253.966i | −1.23517 | + | 0.897406i | −0.997267 | − | 0.0738826i | \(-0.976461\pi\) |
−0.237906 | + | 0.971288i | \(0.576461\pi\) | |||||||
\(284\) | −0.600938 | − | 0.195257i | −0.00211598 | − | 0.000687523i | ||||
\(285\) | −110.052 | − | 286.594i | −0.386148 | − | 1.00559i | ||||
\(286\) | −195.290 | − | 88.0401i | −0.682833 | − | 0.307833i | ||||
\(287\) | 316.014i | 1.10109i | ||||||||
\(288\) | −2.21067 | + | 0.984880i | −0.00767592 | + | 0.00341972i | ||||
\(289\) | 24.5889 | − | 17.8649i | 0.0850826 | − | 0.0618161i | ||||
\(290\) | −16.0055 | + | 22.0297i | −0.0551914 | + | 0.0759645i | ||||
\(291\) | −71.4183 | − | 88.1728i | −0.245424 | − | 0.302999i | ||||
\(292\) | 0.0629771 | + | 0.193823i | 0.000215675 | + | 0.000663779i | ||||
\(293\) | 3.25020 | − | 4.47352i | 0.0110928 | − | 0.0152680i | −0.803435 | − | 0.595393i | \(-0.796996\pi\) |
0.814527 | + | 0.580125i | \(0.196996\pi\) | |||||||
\(294\) | 89.4750 | + | 58.0906i | 0.304337 | + | 0.197587i | ||||
\(295\) | 152.582 | − | 469.599i | 0.517227 | − | 1.59186i | ||||
\(296\) | − | 313.981i | − | 1.06075i | ||||||
\(297\) | 14.2689 | + | 296.657i | 0.0480435 | + | 0.998845i | ||||
\(298\) | −129.170 | −0.433458 | ||||||||
\(299\) | −114.266 | − | 37.1274i | −0.382162 | − | 0.124172i | ||||
\(300\) | −0.139431 | + | 0.214761i | −0.000464771 | + | 0.000715871i | ||||
\(301\) | 198.590 | + | 144.284i | 0.659769 | + | 0.479350i | ||||
\(302\) | −85.0786 | + | 27.6437i | −0.281717 | + | 0.0915354i | ||||
\(303\) | −109.345 | + | 88.5673i | −0.360874 | + | 0.292301i | ||||
\(304\) | 242.536 | + | 176.213i | 0.797817 | + | 0.579648i | ||||
\(305\) | −99.5122 | − | 136.967i | −0.326269 | − | 0.449071i | ||||
\(306\) | −131.187 | − | 294.463i | −0.428716 | − | 0.962296i | ||||
\(307\) | 219.257 | 0.714191 | 0.357095 | − | 0.934068i | \(-0.383767\pi\) | ||||
0.357095 | + | 0.934068i | \(0.383767\pi\) | |||||||
\(308\) | 0.897512 | − | 0.512625i | 0.00291400 | − | 0.00166437i | ||||
\(309\) | 293.495 | − | 112.702i | 0.949823 | − | 0.364732i | ||||
\(310\) | 167.220 | − | 514.650i | 0.539419 | − | 1.66016i | ||||
\(311\) | −83.5538 | − | 115.002i | −0.268662 | − | 0.369781i | 0.653276 | − | 0.757120i | \(-0.273394\pi\) |
−0.921937 | + | 0.387339i | \(0.873394\pi\) | |||||||
\(312\) | −60.2033 | + | 224.788i | −0.192959 | + | 0.720475i | ||||
\(313\) | 29.1359 | + | 89.6710i | 0.0930859 | + | 0.286489i | 0.986750 | − | 0.162247i | \(-0.0518743\pi\) |
−0.893664 | + | 0.448736i | \(0.851874\pi\) | |||||||
\(314\) | 268.887 | − | 87.3666i | 0.856327 | − | 0.278238i | ||||
\(315\) | 28.9109 | + | 274.442i | 0.0917805 | + | 0.871245i | ||||
\(316\) | −0.858566 | + | 0.623785i | −0.00271698 | + | 0.00197400i | ||||
\(317\) | −476.684 | − | 154.884i | −1.50373 | − | 0.488593i | −0.562630 | − | 0.826709i | \(-0.690210\pi\) |
−0.941104 | + | 0.338116i | \(0.890210\pi\) | |||||||
\(318\) | −242.008 | + | 92.9312i | −0.761032 | + | 0.292237i | ||||
\(319\) | −24.8428 | − | 11.1995i | −0.0778770 | − | 0.0351083i | ||||
\(320\) | 349.513i | 1.09223i | ||||||||
\(321\) | 139.698 | − | 7.33788i | 0.435196 | − | 0.0228594i | ||||
\(322\) | 112.089 | − | 81.4377i | 0.348104 | − | 0.252912i | ||||
\(323\) | −196.005 | + | 269.778i | −0.606827 | + | 0.835226i | ||||
\(324\) | −1.33145 | + | 0.283669i | −0.00410941 | + | 0.000875521i | ||||
\(325\) | 15.2488 | + | 46.9310i | 0.0469194 | + | 0.144403i | ||||
\(326\) | 142.501 | − | 196.136i | 0.437119 | − | 0.601643i | ||||
\(327\) | 275.123 | − | 423.762i | 0.841354 | − | 1.29591i | ||||
\(328\) | −139.439 | + | 429.149i | −0.425118 | + | 1.30838i | ||||
\(329\) | − | 323.061i | − | 0.981948i | ||||||
\(330\) | −338.044 | − | 131.525i | −1.02437 | − | 0.398560i | ||||
\(331\) | −653.489 | −1.97429 | −0.987143 | − | 0.159839i | \(-0.948903\pi\) | ||||
−0.987143 | + | 0.159839i | \(0.948903\pi\) | |||||||
\(332\) | −0.155068 | − | 0.0503847i | −0.000467073 | − | 0.000151761i | ||||
\(333\) | 73.5137 | − | 346.259i | 0.220762 | − | 1.03982i | ||||
\(334\) | −174.193 | − | 126.559i | −0.521536 | − | 0.378918i | ||||
\(335\) | 177.747 | − | 57.7535i | 0.530588 | − | 0.172398i | ||||
\(336\) | −169.616 | − | 209.408i | −0.504810 | − | 0.623237i | ||||
\(337\) | −533.438 | − | 387.565i | −1.58290 | − | 1.15005i | −0.913272 | − | 0.407349i | \(-0.866453\pi\) |
−0.669629 | − | 0.742696i | \(-0.733547\pi\) | |||||||
\(338\) | 87.8627 | + | 120.933i | 0.259949 | + | 0.357789i | ||||
\(339\) | −138.769 | + | 7.28910i | −0.409349 | + | 0.0215018i | ||||
\(340\) | 1.64729 | 0.00484497 | ||||||||
\(341\) | 538.303 | + | 59.1120i | 1.57860 | + | 0.173349i | ||||
\(342\) | 225.265 | + | 250.063i | 0.658670 | + | 0.731179i | ||||
\(343\) | −115.309 | + | 354.884i | −0.336177 | + | 1.03465i | ||||
\(344\) | 206.022 | + | 283.565i | 0.598902 | + | 0.824317i | ||||
\(345\) | −196.515 | − | 52.6311i | −0.569609 | − | 0.152554i | ||||
\(346\) | 203.645 | + | 626.754i | 0.588569 | + | 1.81143i | ||||
\(347\) | 264.279 | − | 85.8695i | 0.761611 | − | 0.247463i | 0.0976413 | − | 0.995222i | \(-0.468870\pi\) |
0.663970 | + | 0.747759i | \(0.268870\pi\) | |||||||
\(348\) | 0.0323137 | − | 0.120654i | 9.28556e−5 | − | 0.000346706i | ||||
\(349\) | 204.499 | − | 148.578i | 0.585958 | − | 0.425724i | −0.254909 | − | 0.966965i | \(-0.582046\pi\) |
0.840867 | + | 0.541242i | \(0.182046\pi\) | |||||||
\(350\) | −54.1196 | − | 17.5845i | −0.154627 | − | 0.0502415i | ||||
\(351\) | −119.023 | + | 233.801i | −0.339096 | + | 0.666100i | ||||
\(352\) | 2.89613 | − | 0.601518i | 0.00822764 | − | 0.00170886i | ||||
\(353\) | − | 560.803i | − | 1.58868i | −0.607476 | − | 0.794338i | \(-0.707818\pi\) | ||
0.607476 | − | 0.794338i | \(-0.292182\pi\) | |||||||
\(354\) | 28.3947 | + | 540.575i | 0.0802109 | + | 1.52705i | ||||
\(355\) | −166.813 | + | 121.197i | −0.469895 | + | 0.341399i | ||||
\(356\) | −0.337148 | + | 0.464044i | −0.000947044 | + | 0.00130349i | ||||
\(357\) | 232.928 | − | 188.667i | 0.652460 | − | 0.528480i | ||||
\(358\) | −29.9128 | − | 92.0620i | −0.0835552 | − | 0.257157i | ||||
\(359\) | −174.022 | + | 239.520i | −0.484740 | + | 0.667187i | −0.979407 | − | 0.201895i | \(-0.935290\pi\) |
0.494667 | + | 0.869083i | \(0.335290\pi\) | |||||||
\(360\) | −81.8344 | + | 385.450i | −0.227318 | + | 1.07070i | ||||
\(361\) | −3.96952 | + | 12.2169i | −0.0109959 | + | 0.0338419i | ||||
\(362\) | 0.133414i | 0.000368547i | ||||||||
\(363\) | 60.0778 | − | 357.994i | 0.165504 | − | 0.986209i | ||||
\(364\) | 0.913018 | 0.00250829 | ||||||||
\(365\) | 63.2492 | + | 20.5509i | 0.173285 | + | 0.0563038i | ||||
\(366\) | 155.674 | + | 101.070i | 0.425339 | + | 0.276147i | ||||
\(367\) | −68.6514 | − | 49.8782i | −0.187061 | − | 0.135908i | 0.490313 | − | 0.871546i | \(-0.336882\pi\) |
−0.677375 | + | 0.735638i | \(0.736882\pi\) | |||||||
\(368\) | 188.942 | − | 61.3910i | 0.513430 | − | 0.166823i | ||||
\(369\) | −254.252 | + | 440.618i | −0.689028 | + | 1.19409i | ||||
\(370\) | 349.750 | + | 254.108i | 0.945270 | + | 0.686779i | ||||
\(371\) | −141.688 | − | 195.016i | −0.381908 | − | 0.525651i | ||||
\(372\) | 0.130203 | + | 2.47879i | 0.000350007 | + | 0.00666341i | ||||
\(373\) | 316.098 | 0.847447 | 0.423724 | − | 0.905792i | \(-0.360723\pi\) | ||||
0.423724 | + | 0.905792i | \(0.360723\pi\) | |||||||
\(374\) | 80.1228 | + | 385.767i | 0.214232 | + | 1.03146i | ||||
\(375\) | −117.499 | − | 305.988i | −0.313332 | − | 0.815968i | ||||
\(376\) | 142.548 | − | 438.718i | 0.379118 | − | 1.16680i | ||||
\(377\) | −14.1490 | − | 19.4744i | −0.0375304 | − | 0.0516562i | ||||
\(378\) | −137.446 | − | 269.515i | −0.363613 | − | 0.713003i | ||||
\(379\) | −33.6016 | − | 103.415i | −0.0886586 | − | 0.272863i | 0.896891 | − | 0.442253i | \(-0.145820\pi\) |
−0.985549 | + | 0.169389i | \(0.945820\pi\) | |||||||
\(380\) | −1.63568 | + | 0.531466i | −0.00430443 | + | 0.00139859i | ||||
\(381\) | 197.892 | + | 52.9999i | 0.519402 | + | 0.139107i | ||||
\(382\) | 320.092 | − | 232.561i | 0.837938 | − | 0.608797i | ||||
\(383\) | 420.380 | + | 136.590i | 1.09760 | + | 0.356631i | 0.801178 | − | 0.598426i | \(-0.204207\pi\) |
0.296420 | + | 0.955058i | \(0.404207\pi\) | |||||||
\(384\) | −138.517 | − | 360.721i | −0.360721 | − | 0.939378i | ||||
\(385\) | 36.8166 | − | 335.270i | 0.0956275 | − | 0.870831i | ||||
\(386\) | 3.05372i | 0.00791119i | ||||||||
\(387\) | 160.809 | + | 360.953i | 0.415527 | + | 0.932694i | ||||
\(388\) | −0.514268 | + | 0.373638i | −0.00132543 | + | 0.000962983i | ||||
\(389\) | 299.534 | − | 412.273i | 0.770010 | − | 1.05983i | −0.226305 | − | 0.974056i | \(-0.572665\pi\) |
0.996315 | − | 0.0857708i | \(-0.0273353\pi\) | |||||||
\(390\) | −201.673 | − | 248.985i | −0.517110 | − | 0.638423i | ||||
\(391\) | 68.2865 | + | 210.164i | 0.174646 | + | 0.537504i | ||||
\(392\) | −83.2541 | + | 114.589i | −0.212383 | + | 0.292320i | ||||
\(393\) | 408.309 | + | 265.090i | 1.03895 | + | 0.674529i | ||||
\(394\) | −133.441 | + | 410.689i | −0.338682 | + | 1.04236i | ||||
\(395\) | 346.310i | 0.876734i | ||||||||
\(396\) | 1.66383 | + | 0.00734836i | 0.00420160 | + | 1.85565e-5i | ||||
\(397\) | 13.0481 | 0.0328668 | 0.0164334 | − | 0.999865i | \(-0.494769\pi\) | ||||
0.0164334 | + | 0.999865i | \(0.494769\pi\) | |||||||
\(398\) | −203.310 | − | 66.0595i | −0.510830 | − | 0.165979i | ||||
\(399\) | −170.417 | + | 262.488i | −0.427111 | + | 0.657864i | ||||
\(400\) | −66.0118 | − | 47.9604i | −0.165029 | − | 0.119901i | ||||
\(401\) | −522.706 | + | 169.837i | −1.30351 | + | 0.423535i | −0.876800 | − | 0.480855i | \(-0.840326\pi\) |
−0.426706 | + | 0.904390i | \(0.640326\pi\) | |||||||
\(402\) | −159.217 | + | 128.963i | −0.396063 | + | 0.320804i | ||||
\(403\) | 387.006 | + | 281.176i | 0.960313 | + | 0.697708i | ||||
\(404\) | 0.463356 | + | 0.637754i | 0.00114692 | + | 0.00157860i | ||||
\(405\) | −180.494 | + | 405.914i | −0.445664 | + | 1.00226i | ||||
\(406\) | 27.7588 | 0.0683714 | ||||||||
\(407\) | −177.807 | + | 394.411i | −0.436873 | + | 0.969069i | ||||
\(408\) | 399.566 | − | 153.433i | 0.979327 | − | 0.376062i | ||||
\(409\) | 191.024 | − | 587.911i | 0.467051 | − | 1.43744i | −0.389334 | − | 0.921097i | \(-0.627295\pi\) |
0.856385 | − | 0.516339i | \(-0.172705\pi\) | |||||||
\(410\) | −365.188 | − | 502.638i | −0.890702 | − | 1.22595i | ||||
\(411\) | 41.0308 | − | 153.202i | 0.0998317 | − | 0.372754i | ||||
\(412\) | −0.544264 | − | 1.67507i | −0.00132103 | − | 0.00406571i | ||||
\(413\) | −478.714 | + | 155.544i | −1.15911 | + | 0.376619i | ||||
\(414\) | 221.807 | − | 23.3661i | 0.535766 | − | 0.0564398i | ||||
\(415\) | −43.0450 | + | 31.2740i | −0.103723 | + | 0.0753591i | ||||
\(416\) | 2.48500 | + | 0.807424i | 0.00597355 | + | 0.00194092i | ||||
\(417\) | −242.353 | + | 93.0636i | −0.581182 | + | 0.223174i | ||||
\(418\) | −204.018 | − | 357.199i | −0.488082 | − | 0.854543i | ||||
\(419\) | 440.342i | 1.05094i | 0.850814 | + | 0.525468i | \(0.176110\pi\) | ||||
−0.850814 | + | 0.525468i | \(0.823890\pi\) | |||||||
\(420\) | 1.54386 | − | 0.0810938i | 0.00367585 | − | 0.000193080i | ||||
\(421\) | −464.562 | + | 337.524i | −1.10347 | + | 0.801719i | −0.981623 | − | 0.190829i | \(-0.938882\pi\) |
−0.121849 | + | 0.992549i | \(0.538882\pi\) | |||||||
\(422\) | 253.072 | − | 348.324i | 0.599697 | − | 0.825413i | ||||
\(423\) | 259.921 | − | 450.443i | 0.614471 | − | 1.06488i | ||||
\(424\) | −106.363 | − | 327.352i | −0.250856 | − | 0.772056i | ||||
\(425\) | 53.3473 | − | 73.4262i | 0.125523 | − | 0.172768i | ||||
\(426\) | 123.094 | − | 189.597i | 0.288952 | − | 0.445063i | ||||
\(427\) | −53.3322 | + | 164.140i | −0.124900 | + | 0.384402i | ||||
\(428\) | − | 0.783693i | − | 0.00183106i | ||||||
\(429\) | 202.922 | − | 248.277i | 0.473012 | − | 0.578735i | ||||
\(430\) | −482.605 | −1.12234 | ||||||||
\(431\) | −629.106 | − | 204.409i | −1.45964 | − | 0.474267i | −0.531682 | − | 0.846944i | \(-0.678440\pi\) |
−0.927961 | + | 0.372677i | \(0.878440\pi\) | |||||||
\(432\) | −68.0149 | − | 428.442i | −0.157442 | − | 0.991765i | ||||
\(433\) | −172.144 | − | 125.070i | −0.397560 | − | 0.288845i | 0.370986 | − | 0.928638i | \(-0.379020\pi\) |
−0.768547 | + | 0.639794i | \(0.779020\pi\) | |||||||
\(434\) | −524.640 | + | 170.466i | −1.20885 | + | 0.392778i | ||||
\(435\) | −25.6547 | − | 31.6732i | −0.0589764 | − | 0.0728121i | ||||
\(436\) | −2.28988 | − | 1.66370i | −0.00525202 | − | 0.00381581i | ||||
\(437\) | −135.611 | − | 186.652i | −0.310322 | − | 0.427121i | ||||
\(438\) | −72.8089 | + | 3.82441i | −0.166230 | + | 0.00873154i | ||||
\(439\) | −103.815 | −0.236482 | −0.118241 | − | 0.992985i | \(-0.537725\pi\) | ||||
−0.118241 | + | 0.992985i | \(0.537725\pi\) | |||||||
\(440\) | 197.932 | − | 439.053i | 0.449846 | − | 0.997848i | ||||
\(441\) | −118.642 | + | 106.877i | −0.269029 | + | 0.242351i | ||||
\(442\) | −107.550 | + | 331.004i | −0.243325 | + | 0.748877i | ||||
\(443\) | 162.680 | + | 223.910i | 0.367225 | + | 0.505441i | 0.952144 | − | 0.305650i | \(-0.0988738\pi\) |
−0.584919 | + | 0.811092i | \(0.698874\pi\) | |||||||
\(444\) | −1.91553 | − | 0.513022i | −0.00431427 | − | 0.00115546i | ||||
\(445\) | 57.8405 | + | 178.015i | 0.129979 | + | 0.400033i | ||||
\(446\) | −85.3340 | + | 27.7267i | −0.191332 | + | 0.0621675i | ||||
\(447\) | 50.0205 | − | 186.768i | 0.111903 | − | 0.417824i | ||||
\(448\) | 288.251 | − | 209.427i | 0.643417 | − | 0.467470i | ||||
\(449\) | −473.509 | − | 153.852i | −1.05459 | − | 0.342656i | −0.270119 | − | 0.962827i | \(-0.587063\pi\) |
−0.784466 | + | 0.620171i | \(0.787063\pi\) | |||||||
\(450\) | −61.3111 | − | 68.0603i | −0.136247 | − | 0.151245i | ||||
\(451\) | 418.184 | − | 460.116i | 0.927237 | − | 1.02021i | ||||
\(452\) | 0.778483i | 0.00172231i | ||||||||
\(453\) | −7.02388 | − | 133.720i | −0.0155052 | − | 0.295188i | ||||
\(454\) | 364.017 | − | 264.474i | 0.801800 | − | 0.582542i | ||||
\(455\) | 175.124 | − | 241.038i | 0.384889 | − | 0.529754i | ||||
\(456\) | −347.248 | + | 281.264i | −0.761509 | + | 0.616807i | ||||
\(457\) | 250.649 | + | 771.417i | 0.548465 | + | 1.68800i | 0.712605 | + | 0.701565i | \(0.247515\pi\) |
−0.164140 | + | 0.986437i | \(0.552485\pi\) | |||||||
\(458\) | −122.635 | + | 168.792i | −0.267761 | + | 0.368542i | ||||
\(459\) | 476.565 | − | 75.6544i | 1.03827 | − | 0.164824i | ||||
\(460\) | −0.352191 | + | 1.08393i | −0.000765633 | + | 0.00235638i | ||||
\(461\) | 790.057i | 1.71379i | 0.515492 | + | 0.856894i | \(0.327609\pi\) | ||||
−0.515492 | + | 0.856894i | \(0.672391\pi\) | |||||||
\(462\) | 94.0827 | + | 357.601i | 0.203642 | + | 0.774027i | ||||
\(463\) | 540.381 | 1.16713 | 0.583565 | − | 0.812067i | \(-0.301658\pi\) | ||||
0.583565 | + | 0.812067i | \(0.301658\pi\) | |||||||
\(464\) | 37.8549 | + | 12.2998i | 0.0815839 | + | 0.0265082i | ||||
\(465\) | 679.377 | + | 441.078i | 1.46103 | + | 0.948555i | ||||
\(466\) | 99.7650 | + | 72.4835i | 0.214088 | + | 0.155544i | ||||
\(467\) | 264.267 | − | 85.8654i | 0.565881 | − | 0.183866i | −0.0120845 | − | 0.999927i | \(-0.503847\pi\) |
0.577966 | + | 0.816061i | \(0.303847\pi\) | |||||||
\(468\) | 1.27302 | + | 0.734575i | 0.00272013 | + | 0.00156960i | ||||
\(469\) | −154.136 | − | 111.986i | −0.328647 | − | 0.238776i | ||||
\(470\) | 373.331 | + | 513.846i | 0.794322 | + | 1.09329i | ||||
\(471\) | 22.1986 | + | 422.616i | 0.0471308 | + | 0.897273i | ||||
\(472\) | −718.728 | −1.52273 | ||||||||
\(473\) | −98.2146 | − | 472.874i | −0.207642 | − | 0.999733i | ||||
\(474\) | −136.101 | − | 354.430i | −0.287133 | − | 0.747743i | ||||
\(475\) | −29.2819 | + | 90.1203i | −0.0616460 | + | 0.189727i | ||||
\(476\) | −0.987047 | − | 1.35855i | −0.00207363 | − | 0.00285411i | ||||
\(477\) | −40.6530 | − | 385.907i | −0.0852265 | − | 0.809029i | ||||
\(478\) | 92.4415 | + | 284.506i | 0.193392 | + | 0.595200i | ||||
\(479\) | 447.212 | − | 145.308i | 0.933636 | − | 0.303357i | 0.197587 | − | 0.980285i | \(-0.436689\pi\) |
0.736049 | + | 0.676929i | \(0.236689\pi\) | |||||||
\(480\) | 4.27369 | + | 1.14459i | 0.00890352 | + | 0.00238456i | ||||
\(481\) | −309.181 | + | 224.633i | −0.642787 | + | 0.467012i | ||||
\(482\) | 684.065 | + | 222.266i | 1.41922 | + | 0.461133i | ||||
\(483\) | 74.3449 | + | 193.606i | 0.153923 | + | 0.400841i | ||||
\(484\) | −1.98513 | − | 0.441304i | −0.00410152 | − | 0.000911785i | ||||
\(485\) | 207.434i | 0.427699i | ||||||||
\(486\) | 25.2001 | − | 486.368i | 0.0518521 | − | 1.00076i | ||||
\(487\) | −205.651 | + | 149.414i | −0.422282 | + | 0.306806i | −0.778555 | − | 0.627576i | \(-0.784047\pi\) |
0.356274 | + | 0.934382i | \(0.384047\pi\) | |||||||
\(488\) | −144.851 | + | 199.370i | −0.296825 | + | 0.408545i | ||||
\(489\) | 228.410 | + | 281.994i | 0.467096 | + | 0.576676i | ||||
\(490\) | −60.2650 | − | 185.477i | −0.122990 | − | 0.378524i | ||||
\(491\) | −72.3701 | + | 99.6089i | −0.147393 | + | 0.202869i | −0.876329 | − | 0.481712i | \(-0.840015\pi\) |
0.728936 | + | 0.684582i | \(0.240015\pi\) | |||||||
\(492\) | 2.39031 | + | 1.55188i | 0.00485836 | + | 0.00315424i | ||||
\(493\) | −13.6813 | + | 42.1068i | −0.0277512 | + | 0.0854093i | ||||
\(494\) | − | 363.370i | − | 0.735567i | ||||||
\(495\) | 321.077 | − | 437.845i | 0.648641 | − | 0.884536i | ||||
\(496\) | −790.989 | −1.59474 | ||||||||
\(497\) | 199.907 | + | 64.9537i | 0.402227 | + | 0.130691i | ||||
\(498\) | 31.7635 | − | 48.9242i | 0.0637822 | − | 0.0982414i | ||||
\(499\) | −52.8516 | − | 38.3990i | −0.105915 | − | 0.0769518i | 0.533567 | − | 0.845758i | \(-0.320851\pi\) |
−0.639482 | + | 0.768806i | \(0.720851\pi\) | |||||||
\(500\) | −1.74637 | + | 0.567430i | −0.00349274 | + | 0.00113486i | ||||
\(501\) | 250.446 | − | 202.857i | 0.499893 | − | 0.404904i | ||||
\(502\) | 578.886 | + | 420.585i | 1.15316 | + | 0.837820i | ||||
\(503\) | 250.337 | + | 344.560i | 0.497688 | + | 0.685009i | 0.981783 | − | 0.190007i | \(-0.0608509\pi\) |
−0.484095 | + | 0.875016i | \(0.660851\pi\) | |||||||
\(504\) | 366.924 | − | 163.469i | 0.728023 | − | 0.324344i | ||||
\(505\) | 257.243 | 0.509393 | ||||||||
\(506\) | −270.969 | − | 29.7556i | −0.535512 | − | 0.0588055i | ||||
\(507\) | −208.881 | + | 80.2103i | −0.411994 | + | 0.158206i | ||||
\(508\) | 0.354659 | − | 1.09153i | 0.000698148 | − | 0.00214868i | ||||
\(509\) | −41.0633 | − | 56.5188i | −0.0806745 | − | 0.111039i | 0.766772 | − | 0.641919i | \(-0.221861\pi\) |
−0.847447 | + | 0.530880i | \(0.821861\pi\) | |||||||
\(510\) | −152.460 | + | 569.259i | −0.298941 | + | 1.11619i | ||||
\(511\) | −20.9498 | − | 64.4769i | −0.0409977 | − | 0.126178i | ||||
\(512\) | 483.837 | − | 157.208i | 0.944993 | − | 0.307047i | ||||
\(513\) | −448.799 | + | 228.876i | −0.874852 | + | 0.446151i | ||||
\(514\) | −107.166 | + | 77.8606i | −0.208494 | + | 0.151480i | ||||
\(515\) | −546.616 | − | 177.606i | −1.06139 | − | 0.344866i | ||||
\(516\) | 2.06660 | − | 0.793574i | 0.00400503 | − | 0.00153793i | ||||
\(517\) | −427.509 | + | 470.376i | −0.826903 | + | 0.909818i | ||||
\(518\) | − | 440.706i | − | 0.850785i | ||||||
\(519\) | −985.084 | + | 51.7433i | −1.89804 | + | 0.0996980i | ||||
\(520\) | 344.176 | − | 250.058i | 0.661876 | − | 0.480881i | ||||
\(521\) | 59.1550 | − | 81.4198i | 0.113541 | − | 0.156276i | −0.748464 | − | 0.663175i | \(-0.769208\pi\) |
0.862005 | + | 0.506899i | \(0.169208\pi\) | |||||||
\(522\) | 38.7040 | + | 22.3335i | 0.0741456 | + | 0.0427845i | ||||
\(523\) | −263.265 | − | 810.248i | −0.503376 | − | 1.54923i | −0.803484 | − | 0.595326i | \(-0.797023\pi\) |
0.300109 | − | 0.953905i | \(-0.402977\pi\) | |||||||
\(524\) | 1.60303 | − | 2.20638i | 0.00305921 | − | 0.00421064i | ||||
\(525\) | 46.3829 | − | 71.4420i | 0.0883485 | − | 0.136080i | ||||
\(526\) | −52.9029 | + | 162.818i | −0.100576 | + | 0.309541i | ||||
\(527\) | − | 879.833i | − | 1.66951i | ||||||
\(528\) | −30.1500 | + | 529.351i | −0.0571022 | + | 1.00256i | ||||
\(529\) | 376.110 | 0.710983 | ||||||||
\(530\) | 450.724 | + | 146.449i | 0.850423 | + | 0.276319i | ||||
\(531\) | −792.614 | − | 168.279i | −1.49268 | − | 0.316909i | ||||
\(532\) | 1.41840 | + | 1.03053i | 0.00266617 | + | 0.00193709i | ||||
\(533\) | 522.347 | − | 169.721i | 0.980013 | − | 0.318425i | ||||
\(534\) | −129.157 | − | 159.457i | −0.241868 | − | 0.298610i | ||||
\(535\) | −206.896 | − | 150.319i | −0.386722 | − | 0.280970i | ||||
\(536\) | −159.904 | − | 220.089i | −0.298328 | − | 0.410613i | ||||
\(537\) | 144.696 | − | 7.60041i | 0.269453 | − | 0.0141535i | ||||
\(538\) | −324.247 | −0.602689 | ||||||||
\(539\) | 169.472 | − | 96.7961i | 0.314420 | − | 0.179585i | ||||
\(540\) | 2.21784 | + | 1.12905i | 0.00410711 | + | 0.00209084i | ||||
\(541\) | 226.023 | − | 695.627i | 0.417787 | − | 1.28582i | −0.491947 | − | 0.870625i | \(-0.663715\pi\) |
0.909734 | − | 0.415192i | \(-0.136285\pi\) | |||||||
\(542\) | 306.282 | + | 421.561i | 0.565096 | + | 0.777788i | ||||
\(543\) | −0.192904 | − | 0.0516638i | −0.000355255 | − | 9.51452e-5i | ||||
\(544\) | −1.48505 | − | 4.57052i | −0.00272988 | − | 0.00840169i | ||||
\(545\) | −878.436 | + | 285.421i | −1.61181 | + | 0.523708i | ||||
\(546\) | −84.5017 | + | 315.515i | −0.154765 | + | 0.577865i | ||||
\(547\) | 99.7347 | − | 72.4615i | 0.182330 | − | 0.132471i | −0.492876 | − | 0.870099i | \(-0.664054\pi\) |
0.675207 | + | 0.737629i | \(0.264054\pi\) | |||||||
\(548\) | −0.845027 | − | 0.274566i | −0.00154202 | − | 0.000501033i | ||||
\(549\) | −206.421 | + | 185.951i | −0.375994 | + | 0.338708i | ||||
\(550\) | 55.5283 | + | 97.2198i | 0.100960 | + | 0.176763i | ||||
\(551\) | − | 46.2241i | − | 0.0838913i | ||||||
\(552\) | 15.5333 | + | 295.722i | 0.0281401 | + | 0.535729i | ||||
\(553\) | 285.609 | − | 207.507i | 0.516472 | − | 0.375239i | ||||
\(554\) | −102.244 | + | 140.727i | −0.184556 | + | 0.254020i | ||||
\(555\) | −502.854 | + | 407.302i | −0.906043 | + | 0.733877i | ||||
\(556\) | 0.449425 | + | 1.38319i | 0.000808318 | + | 0.00248775i | ||||
\(557\) | 118.600 | − | 163.240i | 0.212927 | − | 0.293069i | −0.689172 | − | 0.724598i | \(-0.742026\pi\) |
0.902099 | + | 0.431529i | \(0.142026\pi\) | |||||||
\(558\) | −868.654 | − | 184.423i | −1.55673 | − | 0.330506i | ||||
\(559\) | 131.834 | − | 405.745i | 0.235840 | − | 0.725840i | ||||
\(560\) | 492.649i | 0.879731i | ||||||||
\(561\) | −588.808 | − | 33.5364i | −1.04957 | − | 0.0597797i | ||||
\(562\) | 971.465 | 1.72858 | ||||||||
\(563\) | 460.414 | + | 149.597i | 0.817786 | + | 0.265715i | 0.687892 | − | 0.725813i | \(-0.258536\pi\) |
0.129894 | + | 0.991528i | \(0.458536\pi\) | |||||||
\(564\) | −2.44362 | − | 1.58649i | −0.00433265 | − | 0.00281293i | ||||
\(565\) | 205.521 | + | 149.319i | 0.363753 | + | 0.264282i | ||||
\(566\) | −823.575 | + | 267.596i | −1.45508 | + | 0.472784i | ||||
\(567\) | 442.917 | − | 94.3647i | 0.781159 | − | 0.166428i | ||||
\(568\) | 242.814 | + | 176.415i | 0.427489 | + | 0.310589i | ||||
\(569\) | −274.742 | − | 378.150i | −0.482850 | − | 0.664586i | 0.496199 | − | 0.868209i | \(-0.334729\pi\) |
−0.979050 | + | 0.203622i | \(0.934729\pi\) | |||||||
\(570\) | −32.2744 | − | 614.437i | −0.0566217 | − | 1.07796i | ||||
\(571\) | 656.796 | 1.15026 | 0.575128 | − | 0.818064i | \(-0.304952\pi\) | ||||
0.575128 | + | 0.818064i | \(0.304952\pi\) | |||||||
\(572\) | −1.32935 | − | 1.20820i | −0.00232404 | − | 0.00211224i | ||||
\(573\) | 212.306 | + | 552.879i | 0.370516 | + | 0.964885i | ||||
\(574\) | −195.717 | + | 602.356i | −0.340971 | + | 1.04940i | ||||
\(575\) | 36.9095 | + | 50.8016i | 0.0641905 | + | 0.0883506i | ||||
\(576\) | 570.403 | − | 60.0886i | 0.990284 | − | 0.104321i | ||||
\(577\) | −269.912 | − | 830.704i | −0.467785 | − | 1.43969i | −0.855446 | − | 0.517893i | \(-0.826717\pi\) |
0.387660 | − | 0.921802i | \(-0.373283\pi\) | |||||||
\(578\) | 57.9332 | − | 18.8236i | 0.100230 | − | 0.0325669i | ||||
\(579\) | −4.41537 | − | 1.18253i | −0.00762586 | − | 0.00204237i | ||||
\(580\) | −0.184734 | + | 0.134217i | −0.000318507 | + | 0.000231409i | ||||
\(581\) | 51.5847 | + | 16.7609i | 0.0887861 | + | 0.0288483i | ||||
\(582\) | −81.5225 | − | 212.298i | −0.140073 | − | 0.364774i | ||||
\(583\) | −51.7696 | + | 471.440i | −0.0887987 | + | 0.808645i | ||||
\(584\) | − | 96.8039i | − | 0.165760i | ||||||
\(585\) | 438.104 | − | 195.181i | 0.748896 | − | 0.333643i | ||||
\(586\) | 8.96581 | − | 6.51405i | 0.0153000 | − | 0.0111161i | ||||
\(587\) | −464.705 | + | 639.611i | −0.791661 | + | 1.08963i | 0.202239 | + | 0.979336i | \(0.435178\pi\) |
−0.993899 | + | 0.110291i | \(0.964822\pi\) | |||||||
\(588\) | 0.563055 | + | 0.695146i | 0.000957576 | + | 0.00118222i | ||||
\(589\) | 283.861 | + | 873.634i | 0.481937 | + | 1.48325i | ||||
\(590\) | 581.674 | − | 800.605i | 0.985888 | − | 1.35696i | ||||
\(591\) | −542.141 | − | 351.979i | −0.917328 | − | 0.595565i | ||||
\(592\) | 195.275 | − | 600.996i | 0.329857 | − | 1.01520i | ||||
\(593\) | − | 928.634i | − | 1.56599i | −0.622026 | − | 0.782997i | \(-0.713690\pi\) | ||
0.622026 | − | 0.782997i | \(-0.286310\pi\) | |||||||
\(594\) | −156.531 | + | 574.297i | −0.263520 | + | 0.966829i | ||||
\(595\) | −547.984 | −0.920981 | ||||||||
\(596\) | −1.03017 | − | 0.334722i | −0.00172847 | − | 0.000561614i | ||||
\(597\) | 174.246 | − | 268.385i | 0.291870 | − | 0.449556i | ||||
\(598\) | −194.810 | − | 141.537i | −0.325769 | − | 0.236685i | ||||
\(599\) | 872.469 | − | 283.482i | 1.45654 | − | 0.473259i | 0.529530 | − | 0.848291i | \(-0.322368\pi\) |
0.927012 | + | 0.375032i | \(0.122368\pi\) | |||||||
\(600\) | 94.5115 | − | 76.5524i | 0.157519 | − | 0.127587i | ||||
\(601\) | −773.147 | − | 561.724i | −1.28643 | − | 0.934649i | −0.286708 | − | 0.958018i | \(-0.592561\pi\) |
−0.999727 | + | 0.0233687i | \(0.992561\pi\) | |||||||
\(602\) | 289.174 | + | 398.014i | 0.480356 | + | 0.661153i | ||||
\(603\) | −124.812 | − | 280.153i | −0.206985 | − | 0.464598i | ||||
\(604\) | −0.750158 | −0.00124198 | ||||||||
\(605\) | −497.270 | + | 439.433i | −0.821934 | + | 0.726335i | ||||
\(606\) | −263.275 | + | 101.098i | −0.434448 | + | 0.166828i | ||||
\(607\) | −241.534 | + | 743.364i | −0.397914 | + | 1.22465i | 0.528756 | + | 0.848774i | \(0.322659\pi\) |
−0.926669 | + | 0.375878i | \(0.877341\pi\) | |||||||
\(608\) | 2.94918 | + | 4.05919i | 0.00485062 | + | 0.00667631i | ||||
\(609\) | −10.7494 | + | 40.1364i | −0.0176509 | + | 0.0659055i | ||||
\(610\) | −104.853 | − | 322.704i | −0.171890 | − | 0.529023i | ||||
\(611\) | −533.995 | + | 173.505i | −0.873968 | + | 0.283969i | ||||
\(612\) | −0.283204 | − | 2.68836i | −0.000462751 | − | 0.00439275i | ||||
\(613\) | −69.5578 | + | 50.5367i | −0.113471 | + | 0.0824416i | −0.643074 | − | 0.765804i | \(-0.722341\pi\) |
0.529603 | + | 0.848246i | \(0.322341\pi\) | |||||||
\(614\) | 417.926 | + | 135.792i | 0.680661 | + | 0.221160i | ||||
\(615\) | 868.181 | − | 333.382i | 1.41168 | − | 0.542084i | ||||
\(616\) | −480.696 | + | 99.8393i | −0.780351 | + | 0.162077i | ||||
\(617\) | 7.47837i | 0.0121205i | 0.999982 | + | 0.00606027i | \(0.00192905\pi\) | ||||
−0.999982 | + | 0.00606027i | \(0.998071\pi\) | |||||||
\(618\) | 629.233 | − | 33.0516i | 1.01818 | − | 0.0534815i | ||||
\(619\) | −263.047 | + | 191.115i | −0.424955 | + | 0.308748i | −0.779628 | − | 0.626243i | \(-0.784592\pi\) |
0.354674 | + | 0.934990i | \(0.384592\pi\) | |||||||
\(620\) | 2.66724 | − | 3.67115i | 0.00430201 | − | 0.00592121i | ||||
\(621\) | −52.1085 | + | 329.760i | −0.0839106 | + | 0.531014i | ||||
\(622\) | −88.0380 | − | 270.953i | −0.141540 | − | 0.435616i | ||||
\(623\) | 112.155 | − | 154.368i | 0.180024 | − | 0.247782i | ||||
\(624\) | −255.039 | + | 392.828i | −0.408717 | + | 0.629532i | ||||
\(625\) | −224.399 | + | 690.629i | −0.359038 | + | 1.10501i | ||||
\(626\) | 188.967i | 0.301864i | ||||||||
\(627\) | 595.479 | − | 156.667i | 0.949728 | − | 0.249868i | ||||
\(628\) | 2.37084 | 0.00377522 | ||||||||
\(629\) | 668.500 | + | 217.209i | 1.06280 | + | 0.345324i | ||||
\(630\) | −114.863 | + | 541.021i | −0.182323 | + | 0.858763i | ||||
\(631\) | 554.612 | + | 402.949i | 0.878941 | + | 0.638588i | 0.932971 | − | 0.359951i | \(-0.117207\pi\) |
−0.0540299 | + | 0.998539i | \(0.517207\pi\) | |||||||
\(632\) | 479.419 | − | 155.773i | 0.758574 | − | 0.246476i | ||||
\(633\) | 405.641 | + | 500.804i | 0.640824 | + | 0.791159i | ||||
\(634\) | −812.685 | − | 590.450i | −1.28184 | − | 0.931309i | ||||
\(635\) | −220.139 | − | 302.995i | −0.346675 | − | 0.477157i | ||||
\(636\) | −2.17089 | + | 0.114030i | −0.00341336 | + | 0.000179292i | ||||
\(637\) | 172.400 | 0.270644 | ||||||||
\(638\) | −40.4167 | − | 36.7334i | −0.0633491 | − | 0.0575759i | ||||
\(639\) | 226.471 | + | 251.401i | 0.354414 | + | 0.393429i | ||||
\(640\) | −218.287 | + | 671.819i | −0.341074 | + | 1.04972i | ||||
\(641\) | 160.641 | + | 221.104i | 0.250610 | + | 0.344935i | 0.915725 | − | 0.401806i | \(-0.131617\pi\) |
−0.665115 | + | 0.746741i | \(0.731617\pi\) | |||||||
\(642\) | 270.823 | + | 72.5325i | 0.421843 | + | 0.112979i | ||||
\(643\) | 57.0519 | + | 175.588i | 0.0887277 | + | 0.273076i | 0.985568 | − | 0.169278i | \(-0.0541436\pi\) |
−0.896841 | + | 0.442354i | \(0.854144\pi\) | |||||||
\(644\) | 1.10497 | − | 0.359028i | 0.00171580 | − | 0.000557496i | ||||
\(645\) | 186.886 | − | 697.798i | 0.289745 | − | 1.08186i | ||||
\(646\) | −540.688 | + | 392.833i | −0.836979 | + | 0.608101i | ||||
\(647\) | −342.473 | − | 111.276i | −0.529325 | − | 0.171988i | 0.0321480 | − | 0.999483i | \(-0.489765\pi\) |
−0.561473 | + | 0.827495i | \(0.689765\pi\) | |||||||
\(648\) | 643.121 | + | 67.2862i | 0.992471 | + | 0.103837i | ||||
\(649\) | 902.839 | + | 407.015i | 1.39112 | + | 0.627141i | ||||
\(650\) | 98.8995i | 0.152153i | ||||||||
\(651\) | −43.3130 | − | 824.589i | −0.0665330 | − | 1.26665i | ||||
\(652\) | 1.64473 | − | 1.19497i | 0.00252260 | − | 0.00183277i | ||||
\(653\) | −605.633 | + | 833.583i | −0.927463 | + | 1.27654i | 0.0333778 | + | 0.999443i | \(0.489374\pi\) |
−0.960841 | + | 0.277101i | \(0.910626\pi\) | |||||||
\(654\) | 786.862 | − | 637.343i | 1.20315 | − | 0.974530i | ||||
\(655\) | −275.013 | − | 846.402i | −0.419867 | − | 1.29222i | ||||
\(656\) | −533.804 | + | 734.718i | −0.813725 | + | 1.12000i | ||||
\(657\) | 22.6651 | − | 106.755i | 0.0344978 | − | 0.162489i | ||||
\(658\) | 200.082 | − | 615.788i | 0.304076 | − | 0.935848i | ||||
\(659\) | 1071.63i | 1.62614i | 0.582166 | + | 0.813070i | \(0.302205\pi\) | ||||
−0.582166 | + | 0.813070i | \(0.697795\pi\) | |||||||
\(660\) | −2.35516 | − | 1.92492i | −0.00356843 | − | 0.00291655i | ||||
\(661\) | 441.357 | 0.667712 | 0.333856 | − | 0.942624i | \(-0.391650\pi\) | ||||
0.333856 | + | 0.942624i | \(0.391650\pi\) | |||||||
\(662\) | −1245.62 | − | 404.726i | −1.88160 | − | 0.611368i | ||||
\(663\) | −436.950 | − | 283.685i | −0.659050 | − | 0.427881i | ||||
\(664\) | 62.6566 | + | 45.5227i | 0.0943624 | + | 0.0685583i | ||||
\(665\) | 544.123 | − | 176.796i | 0.818230 | − | 0.265859i | ||||
\(666\) | 354.574 | − | 614.476i | 0.532393 | − | 0.922637i | ||||
\(667\) | −24.7816 | − | 18.0049i | −0.0371539 | − | 0.0269939i | ||||
\(668\) | −1.06128 | − | 1.46073i | −0.00158874 | − | 0.00218672i | ||||
\(669\) | −7.04497 | − | 134.122i | −0.0105306 | − | 0.200481i | ||||
\(670\) | 374.573 | 0.559064 | ||||||||
\(671\) | 294.859 | − | 168.412i | 0.439432 | − | 0.250987i | ||||
\(672\) | −1.61681 | − | 4.21043i | −0.00240596 | − | 0.00626552i | ||||
\(673\) | −114.553 | + | 352.559i | −0.170213 | + | 0.523861i | −0.999383 | − | 0.0351357i | \(-0.988814\pi\) |
0.829170 | + | 0.558997i | \(0.188814\pi\) | |||||||
\(674\) | −776.757 | − | 1069.11i | −1.15246 | − | 1.58622i | ||||
\(675\) | 122.151 | − | 62.2937i | 0.180964 | − | 0.0922870i | ||||
\(676\) | 0.387353 | + | 1.19215i | 0.000573007 | + | 0.00176353i | ||||
\(677\) | −71.5458 | + | 23.2466i | −0.105681 | + | 0.0343377i | −0.361380 | − | 0.932419i | \(-0.617694\pi\) |
0.255699 | + | 0.966756i | \(0.417694\pi\) | |||||||
\(678\) | −269.023 | − | 72.0503i | −0.396789 | − | 0.106269i | ||||
\(679\) | 171.075 | − | 124.294i | 0.251952 | − | 0.183054i | ||||
\(680\) | −744.164 | − | 241.794i | −1.09436 | − | 0.355579i | ||||
\(681\) | 241.440 | + | 628.749i | 0.354537 | + | 0.923272i | ||||
\(682\) | 989.453 | + | 446.062i | 1.45081 | + | 0.654050i | ||||
\(683\) | − | 987.234i | − | 1.44544i | −0.691142 | − | 0.722719i | \(-0.742892\pi\) | ||
0.691142 | − | 0.722719i | \(-0.257108\pi\) | |||||||
\(684\) | 1.14856 | + | 2.57805i | 0.00167918 | + | 0.00376908i | ||||
\(685\) | −234.569 | + | 170.424i | −0.342436 | + | 0.248795i | ||||
\(686\) | −439.581 | + | 605.031i | −0.640788 | + | 0.881970i | ||||
\(687\) | −196.567 | − | 242.681i | −0.286124 | − | 0.353248i | ||||
\(688\) | 217.991 | + | 670.908i | 0.316848 | + | 0.975157i | ||||
\(689\) | −246.251 | + | 338.936i | −0.357404 | + | 0.491924i | ||||
\(690\) | −341.982 | − | 222.028i | −0.495626 | − | 0.321780i | ||||
\(691\) | 317.299 | − | 976.547i | 0.459188 | − | 1.41324i | −0.406958 | − | 0.913447i | \(-0.633411\pi\) |
0.866147 | − | 0.499790i | \(-0.166589\pi\) | |||||||
\(692\) | 5.52624i | 0.00798589i | ||||||||
\(693\) | −553.488 | − | 2.44449i | −0.798684 | − | 0.00352740i | ||||
\(694\) | 556.925 | 0.802486 | ||||||||
\(695\) | 451.366 | + | 146.658i | 0.649448 | + | 0.211018i | ||||
\(696\) | −32.3076 | + | 49.7623i | −0.0464190 | + | 0.0714976i | ||||
\(697\) | −817.241 | − | 593.760i | −1.17251 | − | 0.851880i | ||||
\(698\) | 481.816 | − | 156.551i | 0.690281 | − | 0.224286i | ||||
\(699\) | −143.437 | + | 116.181i | −0.205204 | + | 0.166211i | ||||
\(700\) | −0.386051 | − | 0.280482i | −0.000551501 | − | 0.000400689i | ||||
\(701\) | 109.885 | + | 151.244i | 0.156754 | + | 0.215754i | 0.880170 | − | 0.474659i | \(-0.157429\pi\) |
−0.723415 | + | 0.690413i | \(0.757429\pi\) | |||||||
\(702\) | −371.670 | + | 371.935i | −0.529444 | + | 0.529822i | ||||
\(703\) | −733.868 | −1.04391 | ||||||||
\(704\) | −696.828 | − | 76.5200i | −0.989813 | − | 0.108693i | ||||
\(705\) | −887.541 | + | 340.816i | −1.25892 | + | 0.483427i | ||||
\(706\) | 347.322 | − | 1068.95i | 0.491958 | − | 1.51409i | ||||
\(707\) | −154.139 | − | 212.154i | −0.218018 | − | 0.300077i | ||||
\(708\) | −1.17435 | + | 4.38481i | −0.00165868 | + | 0.00619323i | ||||
\(709\) | −220.538 | − | 678.745i | −0.311055 | − | 0.957327i | −0.977348 | − | 0.211638i | \(-0.932120\pi\) |
0.666294 | − | 0.745690i | \(-0.267880\pi\) | |||||||
\(710\) | −393.024 | + | 127.701i | −0.553554 | + | 0.179861i | ||||
\(711\) | 565.175 | − | 59.5379i | 0.794902 | − | 0.0837383i | ||||
\(712\) | 220.420 | − | 160.145i | 0.309579 | − | 0.224922i | ||||
\(713\) | 578.939 | + | 188.109i | 0.811976 | + | 0.263827i | ||||
\(714\) | 560.833 | − | 215.360i | 0.785481 | − | 0.301625i | ||||
\(715\) | −573.948 | + | 119.207i | −0.802724 | + | 0.166724i | ||||
\(716\) | − | 0.811733i | − | 0.00113370i | ||||||
\(717\) | −447.164 | + | 23.4881i | −0.623660 | + | 0.0327588i | ||||
\(718\) | −480.046 | + | 348.774i | −0.668588 | + | 0.485757i | ||||
\(719\) | 293.142 | − | 403.475i | 0.407708 | − | 0.561162i | −0.554950 | − | 0.831884i | \(-0.687262\pi\) |
0.962658 | + | 0.270722i | \(0.0872624\pi\) | |||||||
\(720\) | −396.365 | + | 686.900i | −0.550506 | + | 0.954028i | ||||
\(721\) | 181.054 | + | 557.226i | 0.251115 | + | 0.772852i | ||||
\(722\) | −15.1326 | + | 20.8283i | −0.0209593 | + | 0.0288480i | ||||
\(723\) | −586.275 | + | 903.019i | −0.810892 | + | 1.24899i | ||||
\(724\) | −0.000345719 | 0.00106401i | −4.77512e−7 | 1.46963e-6i | ||||||
\(725\) | 12.5809i | 0.0173530i | ||||||||
\(726\) | 336.231 | − | 645.166i | 0.463128 | − | 0.888658i | ||||
\(727\) | 427.838 | 0.588498 | 0.294249 | − | 0.955729i | \(-0.404930\pi\) | ||||
0.294249 | + | 0.955729i | \(0.404930\pi\) | |||||||
\(728\) | −412.457 | − | 134.015i | −0.566561 | − | 0.184087i | ||||
\(729\) | 693.480 | + | 224.780i | 0.951276 | + | 0.308340i | ||||
\(730\) | 107.832 | + | 78.3444i | 0.147715 | + | 0.107321i | ||||
\(731\) | −746.264 | + | 242.476i | −1.02088 | + | 0.331705i | ||||
\(732\) | 0.979638 | + | 1.20946i | 0.00133830 | + | 0.00165227i | ||||
\(733\) | −774.572 | − | 562.759i | −1.05671 | − | 0.767748i | −0.0832370 | − | 0.996530i | \(-0.526526\pi\) |
−0.973478 | + | 0.228782i | \(0.926526\pi\) | |||||||
\(734\) | −99.9657 | − | 137.591i | −0.136193 | − | 0.187454i | ||||
\(735\) | 291.518 | − | 15.3125i | 0.396623 | − | 0.0208333i | ||||
\(736\) | 3.32495 | 0.00451760 | ||||||||
\(737\) | 76.2291 | + | 367.020i | 0.103432 | + | 0.497992i | ||||
\(738\) | −757.518 | + | 682.398i | −1.02645 | + | 0.924659i | ||||
\(739\) | −350.729 | + | 1079.43i | −0.474599 | + | 1.46067i | 0.371899 | + | 0.928273i | \(0.378707\pi\) |
−0.846498 | + | 0.532392i | \(0.821293\pi\) | |||||||
\(740\) | 2.13087 | + | 2.93289i | 0.00287956 | + | 0.00396337i | ||||
\(741\) | 525.397 | + | 140.713i | 0.709038 | + | 0.189896i | ||||
\(742\) | −149.292 | − | 459.473i | −0.201202 | − | 0.619236i | ||||
\(743\) | 824.458 | − | 267.883i | 1.10963 | − | 0.360542i | 0.303831 | − | 0.952726i | \(-0.401734\pi\) |
0.805803 | + | 0.592184i | \(0.201734\pi\) | |||||||
\(744\) | 305.024 | − | 1138.91i | 0.409979 | − | 1.53079i | ||||
\(745\) | −285.962 | + | 207.763i | −0.383841 | + | 0.278877i | ||||
\(746\) | 602.516 | + | 195.769i | 0.807662 | + | 0.262425i | ||||
\(747\) | 58.4393 | + | 64.8725i | 0.0782321 | + | 0.0868441i | ||||
\(748\) | −0.360646 | + | 3.28422i | −0.000482147 | + | 0.00439067i | ||||
\(749\) | 260.702i | 0.348067i | ||||||||
\(750\) | −34.4584 | − | 656.016i | −0.0459445 | − | 0.874688i | ||||
\(751\) | 936.412 | − | 680.343i | 1.24689 | − | 0.905916i | 0.248850 | − | 0.968542i | \(-0.419947\pi\) |
0.998037 | + | 0.0626258i | \(0.0199475\pi\) | |||||||
\(752\) | 545.707 | − | 751.101i | 0.725674 | − | 0.998805i | ||||
\(753\) | −832.295 | + | 674.143i | −1.10531 | + | 0.895276i | ||||
\(754\) | −14.9083 | − | 45.8831i | −0.0197723 | − | 0.0608529i | ||||
\(755\) | −143.886 | + | 198.043i | −0.190578 | + | 0.262308i | ||||
\(756\) | −0.397766 | − | 2.50562i | −0.000526145 | − | 0.00331431i | ||||
\(757\) | −126.788 | + | 390.214i | −0.167488 | + | 0.515474i | −0.999211 | − | 0.0397163i | \(-0.987355\pi\) |
0.831723 | + | 0.555190i | \(0.187355\pi\) | |||||||
\(758\) | − | 217.931i | − | 0.287508i | ||||||
\(759\) | 147.955 | − | 380.271i | 0.194934 | − | 0.501016i | ||||
\(760\) | 816.931 | 1.07491 | ||||||||
\(761\) | 241.083 | + | 78.3326i | 0.316798 | + | 0.102934i | 0.463100 | − | 0.886306i | \(-0.346737\pi\) |
−0.146302 | + | 0.989240i | \(0.546737\pi\) | |||||||
\(762\) | 344.379 | + | 223.584i | 0.451941 | + | 0.293417i | ||||
\(763\) | 761.747 | + | 553.442i | 0.998358 | + | 0.725349i | ||||
\(764\) | 3.15546 | − | 1.02527i | 0.00413018 | − | 0.00134198i | ||||
\(765\) | −764.053 | − | 440.884i | −0.998762 | − | 0.576319i | ||||
\(766\) | 716.694 | + | 520.709i | 0.935632 | + | 0.679776i | ||||
\(767\) | 514.203 | + | 707.739i | 0.670408 | + | 0.922737i | ||||
\(768\) | −0.507781 | − | 9.66709i | −0.000661173 | − | 0.0125874i | ||||
\(769\) | −788.887 | −1.02586 | −0.512931 | − | 0.858430i | \(-0.671440\pi\) | ||||
−0.512931 | + | 0.858430i | \(0.671440\pi\) | |||||||
\(770\) | 277.819 | − | 616.258i | 0.360804 | − | 0.800335i | ||||
\(771\) | −71.0793 | − | 185.102i | −0.0921910 | − | 0.240081i | ||||
\(772\) | −0.00791316 | + | 0.0243542i | −1.02502e−5 | + | 3.15469e-5i | ||||
\(773\) | 201.817 | + | 277.778i | 0.261083 | + | 0.359350i | 0.919354 | − | 0.393431i | \(-0.128712\pi\) |
−0.658271 | + | 0.752781i | \(0.728712\pi\) | |||||||
\(774\) | 82.9698 | + | 787.608i | 0.107196 | + | 1.01758i | ||||
\(775\) | −77.2592 | − | 237.779i | −0.0996893 | − | 0.306812i | ||||
\(776\) | 287.165 | − | 93.3054i | 0.370057 | − | 0.120239i | ||||
\(777\) | 637.218 | + | 170.661i | 0.820100 | + | 0.219641i | ||||
\(778\) | 826.276 | − | 600.325i | 1.06205 | − | 0.771625i | ||||
\(779\) | 1003.05 | + | 325.910i | 1.28761 | + | 0.418370i | ||||
\(780\) | −0.963195 | − | 2.50832i | −0.00123487 | − | 0.00321580i | ||||
\(781\) | −205.110 | − | 359.111i | −0.262625 | − | 0.459809i | ||||
\(782\) | 442.887i | 0.566351i | ||||||||
\(783\) | −47.2799 | + | 47.3136i | −0.0603831 | + | 0.0604261i | ||||
\(784\) | −230.625 | + | 167.559i | −0.294164 | + | 0.213723i | ||||
\(785\) | 454.746 | − | 625.904i | 0.579294 | − | 0.797330i | ||||
\(786\) | 614.101 | + | 758.168i | 0.781299 | + | 0.964590i | ||||
\(787\) | −59.7777 | − | 183.977i | −0.0759564 | − | 0.233770i | 0.905868 | − | 0.423559i | \(-0.139219\pi\) |
−0.981825 | + | 0.189789i | \(0.939219\pi\) | |||||||
\(788\) | −2.12845 | + | 2.92956i | −0.00270108 | + | 0.00371772i | ||||
\(789\) | −214.933 | − | 139.543i | −0.272412 | − | 0.176860i | ||||
\(790\) | −214.480 | + | 660.103i | −0.271494 | + | 0.835573i | ||||
\(791\) | − | 258.969i | − | 0.327394i | ||||||
\(792\) | −750.560 | − | 247.542i | −0.947677 | − | 0.312553i | ||||
\(793\) | 299.953 | 0.378251 | ||||||||
\(794\) | 24.8711 | + | 8.08110i | 0.0313238 | + | 0.0101777i | ||||
\(795\) | −386.291 | + | 594.991i | −0.485901 | + | 0.748416i | ||||
\(796\) | −1.45027 | − | 1.05368i | −0.00182195 | − | 0.00132372i | ||||
\(797\) | −505.892 | + | 164.374i | −0.634745 | + | 0.206241i | −0.608676 | − | 0.793419i | \(-0.708299\pi\) |
−0.0260694 | + | 0.999660i | \(0.508299\pi\) | |||||||
\(798\) | −487.400 | + | 394.785i | −0.610777 | + | 0.494717i | ||||
\(799\) | 835.465 | + | 607.001i | 1.04564 | + | 0.759701i | ||||
\(800\) | −0.802686 | − | 1.10480i | −0.00100336 | − | 0.00138100i | ||||
\(801\) | 280.575 | − | 125.000i | 0.350281 | − | 0.156055i | ||||
\(802\) | −1101.52 | −1.37346 | ||||||||
\(803\) | −54.8199 | + | 121.601i | −0.0682689 | + | 0.151434i | ||||
\(804\) | −1.60399 | + | 0.615931i | −0.00199501 | + | 0.000766083i | ||||
\(805\) | 117.159 | − | 360.579i | 0.145539 | − | 0.447924i | ||||
\(806\) | 563.533 | + | 775.637i | 0.699173 | + | 0.962328i | ||||
\(807\) | 125.563 | − | 468.829i | 0.155592 | − | 0.580952i | ||||
\(808\) | −115.710 | − | 356.119i | −0.143205 | − | 0.440741i | ||||
\(809\) | 276.212 | − | 89.7467i | 0.341424 | − | 0.110935i | −0.133286 | − | 0.991078i | \(-0.542553\pi\) |
0.474710 | + | 0.880142i | \(0.342553\pi\) | |||||||
\(810\) | −595.436 | + | 661.930i | −0.735106 | + | 0.817198i | ||||
\(811\) | −311.109 | + | 226.034i | −0.383611 | + | 0.278710i | −0.762833 | − | 0.646596i | \(-0.776192\pi\) |
0.379221 | + | 0.925306i | \(0.376192\pi\) | |||||||
\(812\) | 0.221384 | + | 0.0719319i | 0.000272640 | + | 8.85861e-5i | ||||
\(813\) | −728.142 | + | 279.607i | −0.895623 | + | 0.343919i | ||||
\(814\) | −583.190 | + | 641.668i | −0.716450 | + | 0.788289i | ||||
\(815\) | − | 663.416i | − | 0.814008i | ||||||
\(816\) | 860.239 | − | 45.1856i | 1.05421 | − | 0.0553745i | ||||
\(817\) | 662.776 | − | 481.535i | 0.811232 | − | 0.589394i | ||||
\(818\) | 728.223 | − | 1002.31i | 0.890248 | − | 1.22532i | ||||
\(819\) | −423.480 | − | 244.362i | −0.517069 | − | 0.298367i | ||||
\(820\) | −1.60997 | − | 4.95499i | −0.00196338 | − | 0.00604267i | ||||
\(821\) | 365.440 | − | 502.985i | 0.445116 | − | 0.612650i | −0.526223 | − | 0.850346i | \(-0.676392\pi\) |
0.971339 | + | 0.237697i | \(0.0763924\pi\) | |||||||
\(822\) | 173.092 | − | 266.607i | 0.210574 | − | 0.324340i | ||||
\(823\) | −88.4972 | + | 272.366i | −0.107530 | + | 0.330943i | −0.990316 | − | 0.138832i | \(-0.955665\pi\) |
0.882786 | + | 0.469776i | \(0.155665\pi\) | |||||||
\(824\) | 836.604i | 1.01530i | ||||||||
\(825\) | −162.073 | + | 42.6405i | −0.196452 | + | 0.0516855i | ||||
\(826\) | −1008.81 | −1.22132 | ||||||||
\(827\) | −397.074 | − | 129.017i | −0.480138 | − | 0.156006i | 0.0589412 | − | 0.998261i | \(-0.481228\pi\) |
−0.539079 | + | 0.842255i | \(0.681228\pi\) | |||||||
\(828\) | 1.82952 | + | 0.388423i | 0.00220957 | + | 0.000469110i | ||||
\(829\) | −300.030 | − | 217.984i | −0.361918 | − | 0.262949i | 0.391934 | − | 0.919993i | \(-0.371806\pi\) |
−0.753852 | + | 0.657045i | \(0.771806\pi\) | |||||||
\(830\) | −101.417 | + | 32.9525i | −0.122189 | + | 0.0397018i | ||||
\(831\) | −163.884 | − | 202.331i | −0.197213 | − | 0.243479i | ||||
\(832\) | −500.976 | − | 363.980i | −0.602134 | − | 0.437476i | ||||
\(833\) | −186.379 | − | 256.528i | −0.223744 | − | 0.307957i | ||||
\(834\) | −519.588 | + | 27.2922i | −0.623007 | + | 0.0327245i | ||||
\(835\) | −589.197 | −0.705625 | ||||||||
\(836\) | −0.701484 | − | 3.37743i | −0.000839096 | − | 0.00403999i | ||||
\(837\) | 603.038 | − | 1184.57i | 0.720475 | − | 1.41526i | ||||
\(838\) | −272.717 | + | 839.338i | −0.325438 | + | 1.00160i | ||||
\(839\) | −508.937 | − | 700.492i | −0.606599 | − | 0.834912i | 0.389693 | − | 0.920945i | \(-0.372581\pi\) |
−0.996292 | + | 0.0860324i | \(0.972581\pi\) | |||||||
\(840\) | −709.342 | − | 189.977i | −0.844454 | − | 0.226163i | ||||
\(841\) | 257.987 | + | 794.002i | 0.306762 | + | 0.944116i | ||||
\(842\) | −1094.54 | + | 355.638i | −1.29993 | + | 0.422373i | ||||
\(843\) | −376.194 | + | 1404.64i | −0.446256 | + | 1.66624i | ||||
\(844\) | 2.92094 | − | 2.12219i | 0.00346083 | − | 0.00251444i | ||||
\(845\) | 389.027 | + | 126.402i | 0.460386 | + | 0.149589i | ||||
\(846\) | 774.410 | − | 697.615i | 0.915379 | − | 0.824604i | ||||
\(847\) | 660.371 | + | 146.803i | 0.779659 | + | 0.173321i | ||||
\(848\) | − | 692.739i | − | 0.816910i | ||||||
\(849\) | −67.9923 | − | 1294.43i | −0.0800852 | − | 1.52466i | ||||
\(850\) | 147.161 | − | 106.918i | 0.173130 | − | 0.125786i | ||||
\(851\) | −285.851 | + | 393.440i | −0.335900 | + | 0.462327i | ||||
\(852\) | 1.47301 | − | 1.19311i | 0.00172888 | − | 0.00140036i | ||||
\(853\) | −416.202 | − | 1280.94i | −0.487927 | − | 1.50169i | −0.827696 | − | 0.561177i | \(-0.810349\pi\) |
0.339768 | − | 0.940509i | \(-0.389651\pi\) | |||||||
\(854\) | −203.313 | + | 279.837i | −0.238072 | + | 0.327678i | ||||
\(855\) | 900.912 | + | 191.271i | 1.05370 | + | 0.223709i | ||||
\(856\) | −115.033 | + | 354.034i | −0.134384 | + | 0.413591i | ||||
\(857\) | − | 770.599i | − | 0.899182i | −0.893235 | − | 0.449591i | \(-0.851570\pi\) | ||
0.893235 | − | 0.449591i | \(-0.148430\pi\) | |||||||
\(858\) | 540.557 | − | 347.567i | 0.630020 | − | 0.405089i | ||||
\(859\) | −549.532 | −0.639735 | −0.319867 | − | 0.947462i | \(-0.603638\pi\) | ||||
−0.319867 | + | 0.947462i | \(0.603638\pi\) | |||||||
\(860\) | −3.84890 | − | 1.25058i | −0.00447546 | − | 0.00145417i | ||||
\(861\) | −795.157 | − | 516.247i | −0.923527 | − | 0.599590i | ||||
\(862\) | −1072.55 | − | 779.250i | −1.24425 | − | 0.904002i | ||||
\(863\) | −1042.29 | + | 338.660i | −1.20775 | + | 0.392422i | −0.842607 | − | 0.538530i | \(-0.818980\pi\) |
−0.365143 | + | 0.930951i | \(0.618980\pi\) | |||||||
\(864\) | 1.13322 | − | 7.17141i | 0.00131160 | − | 0.00830024i | ||||
\(865\) | 1458.93 | + | 1059.98i | 1.68663 | + | 1.22541i | ||||
\(866\) | −250.664 | − | 345.010i | −0.289451 | − | 0.398395i | ||||
\(867\) | 4.78282 | + | 91.0550i | 0.00551652 | + | 0.105023i | ||||
\(868\) | −4.62587 | −0.00532935 | ||||||||
\(869\) | −690.442 | − | 75.8186i | −0.794524 | − | 0.0872481i | ||||
\(870\) | −29.2843 | − | 76.2613i | −0.0336602 | − | 0.0876567i | ||||
\(871\) | −102.323 | + | 314.918i | −0.117478 | + | 0.361559i | ||||
\(872\) | 790.254 | + | 1087.69i | 0.906254 | + | 1.24735i | ||||
\(873\) | 338.531 | − | 35.6623i | 0.387779 | − | 0.0408503i | ||||
\(874\) | −142.889 | − | 439.766i | −0.163488 | − | 0.503165i | ||||
\(875\) | 580.944 | − | 188.760i | 0.663936 | − | 0.215726i | ||||
\(876\) | −0.590580 | − | 0.158170i | −0.000674178 | − | 0.000180560i | ||||
\(877\) | 1167.54 | − | 848.264i | 1.33128 | − | 0.967234i | 0.331566 | − | 0.943432i | \(-0.392423\pi\) |
0.999717 | − | 0.0238017i | \(-0.00757702\pi\) | |||||||
\(878\) | −197.883 | − | 64.2961i | −0.225379 | − | 0.0732302i | ||||
\(879\) | 5.94670 | + | 15.4862i | 0.00676531 | + | 0.0176180i | ||||
\(880\) | 651.927 | − | 717.297i | 0.740826 | − | 0.815110i | ||||
\(881\) | 162.080i | 0.183973i | 0.995760 | + | 0.0919866i | \(0.0293217\pi\) | ||||
−0.995760 | + | 0.0919866i | \(0.970678\pi\) | |||||||
\(882\) | −292.336 | + | 130.239i | −0.331447 | + | 0.147664i | ||||
\(883\) | 70.4786 | − | 51.2057i | 0.0798172 | − | 0.0579906i | −0.547161 | − | 0.837027i | \(-0.684291\pi\) |
0.626978 | + | 0.779037i | \(0.284291\pi\) | |||||||
\(884\) | −1.71547 | + | 2.36115i | −0.00194058 | + | 0.00267098i | ||||
\(885\) | 932.346 | + | 1151.07i | 1.05350 | + | 1.30065i | ||||
\(886\) | 171.411 | + | 527.550i | 0.193467 | + | 0.595429i | ||||
\(887\) | −479.767 | + | 660.342i | −0.540887 | + | 0.744467i | −0.988741 | − | 0.149640i | \(-0.952189\pi\) |
0.447853 | + | 0.894107i | \(0.352189\pi\) | |||||||
\(888\) | 790.041 | + | 512.926i | 0.889686 | + | 0.577619i | ||||
\(889\) | −117.980 | + | 363.106i | −0.132711 | + | 0.408443i | ||||
\(890\) | 375.137i | 0.421503i | ||||||||
\(891\) | −769.760 | − | 448.721i | −0.863928 | − | 0.503615i | ||||
\(892\) | −0.752410 | −0.000843509 | ||||||||
\(893\) | −1025.42 | − | 333.178i | −1.14828 | − | 0.373099i | ||||
\(894\) | 211.015 | − | 325.019i | 0.236035 | − | 0.363556i | ||||
\(895\) | −214.298 | − | 155.697i | −0.239440 | − | 0.173963i | ||||
\(896\) | 684.860 | − | 222.525i | 0.764353 | − | 0.248353i | ||||
\(897\) | 280.088 | − | 226.866i | 0.312250 | − | 0.252916i | ||||
\(898\) | −807.272 | − | 586.517i | −0.898967 | − | 0.653137i | ||||
\(899\) | 71.6867 | + | 98.6683i | 0.0797405 | + | 0.109753i | ||||
\(900\) | −0.312606 | − | 0.701676i | −0.000347340 | − | 0.000779640i | ||||
\(901\) | 770.548 | 0.855214 | ||||||||
\(902\) | 1082.07 | − | 618.035i | 1.19963 | − | 0.685183i | ||||
\(903\) | −687.470 | + | 263.989i | −0.761318 | + | 0.292346i | ||||
\(904\) | 114.268 | − | 351.681i | 0.126403 | − | 0.389027i | ||||
\(905\) | 0.214589 | + | 0.295357i | 0.000237115 | + | 0.000326361i | ||||
\(906\) | 69.4287 | − | 259.234i | 0.0766321 | − | 0.286131i | ||||
\(907\) | 172.604 | + | 531.221i | 0.190302 | + | 0.585691i | 0.999999 | − | 0.00115761i | \(-0.000368480\pi\) |
−0.809697 | + | 0.586848i | \(0.800368\pi\) | |||||||
\(908\) | 3.58847 | − | 1.16596i | 0.00395206 | − | 0.00128410i | ||||
\(909\) | −44.2255 | − | 419.820i | −0.0486530 | − | 0.461848i | ||||
\(910\) | 483.088 | − | 350.984i | 0.530865 | − | 0.385696i | ||||
\(911\) | −1547.41 | − | 502.785i | −1.69859 | − | 0.551904i | −0.710217 | − | 0.703982i | \(-0.751403\pi\) |
−0.988368 | + | 0.152078i | \(0.951403\pi\) | |||||||
\(912\) | −839.600 | + | 322.407i | −0.920614 | + | 0.353516i | ||||
\(913\) | −52.9274 | − | 92.6662i | −0.0579709 | − | 0.101496i | ||||
\(914\) | 1625.64i | 1.77860i | ||||||||
\(915\) | 507.201 | − | 26.6416i | 0.554318 | − | 0.0291165i | ||||
\(916\) | −1.41544 | + | 1.02838i | −0.00154524 | + | 0.00112268i | ||||
\(917\) | −533.259 | + | 733.969i | −0.581526 | + | 0.800402i | ||||
\(918\) | 955.238 | + | 150.946i | 1.04056 | + | 0.164430i | ||||
\(919\) | 17.7957 | + | 54.7694i | 0.0193642 | + | 0.0595967i | 0.960272 | − | 0.279067i | \(-0.0900251\pi\) |
−0.940908 | + | 0.338664i | \(0.890025\pi\) | |||||||
\(920\) | 318.205 | − | 437.972i | 0.345875 | − | 0.476057i | ||||
\(921\) | −358.182 | + | 551.695i | −0.388905 | + | 0.599017i | ||||
\(922\) | −489.307 | + | 1505.93i | −0.530701 | + | 1.63333i | ||||
\(923\) | − | 365.315i | − | 0.395791i | ||||||
\(924\) | −0.176323 | + | 3.09576i | −0.000190826 | + | 0.00335039i | ||||
\(925\) | 199.739 | 0.215934 | ||||||||
\(926\) | 1030.02 | + | 334.675i | 1.11234 | + | 0.361420i | ||||
\(927\) | −195.877 | + | 922.607i | −0.211303 | + | 0.995261i | ||||
\(928\) | 0.538935 | + | 0.391560i | 0.000580749 | + | 0.000421939i | ||||
\(929\) | 20.4483 | − | 6.64405i | 0.0220111 | − | 0.00715183i | −0.297991 | − | 0.954569i | \(-0.596316\pi\) |
0.320002 | + | 0.947417i | \(0.396316\pi\) | |||||||
\(930\) | 1021.79 | + | 1261.50i | 1.09870 | + | 1.35645i | ||||
\(931\) | 267.830 | + | 194.590i | 0.287679 | + | 0.209011i | ||||
\(932\) | 0.607824 | + | 0.836598i | 0.000652172 | + | 0.000897637i | ||||
\(933\) | 425.864 | − | 22.3692i | 0.456445 | − | 0.0239756i | ||||
\(934\) | 556.899 | 0.596251 | ||||||||
\(935\) | 797.863 | + | 725.151i | 0.853330 | + | 0.775563i | ||||
\(936\) | −467.264 | − | 518.702i | −0.499214 | − | 0.554169i | ||||
\(937\) | −70.7518 | + | 217.752i | −0.0755089 | + | 0.232393i | −0.981686 | − | 0.190506i | \(-0.938987\pi\) |
0.906177 | + | 0.422898i | \(0.138987\pi\) | |||||||
\(938\) | −224.442 | − | 308.918i | −0.239277 | − | 0.329337i | ||||
\(939\) | −273.228 | − | 73.1764i | −0.290977 | − | 0.0779301i | ||||
\(940\) | 1.64587 | + | 5.06548i | 0.00175093 | + | 0.00538881i | ||||
\(941\) | 820.918 | − | 266.732i | 0.872389 | − | 0.283456i | 0.161596 | − | 0.986857i | \(-0.448336\pi\) |
0.710794 | + | 0.703401i | \(0.248336\pi\) | |||||||
\(942\) | −219.426 | + | 819.298i | −0.232936 | + | 0.869743i | ||||
\(943\) | 565.427 | − | 410.807i | 0.599604 | − | 0.435638i | ||||
\(944\) | −1375.73 | − | 447.001i | −1.45734 | − | 0.473518i | ||||
\(945\) | −737.782 | − | 375.588i | −0.780722 | − | 0.397448i | ||||
\(946\) | 105.658 | − | 962.174i | 0.111689 | − | 1.01710i | ||||
\(947\) | 1155.70i | 1.22038i | 0.792253 | + | 0.610192i | \(0.208908\pi\) | ||||
−0.792253 | + | 0.610192i | \(0.791092\pi\) | |||||||
\(948\) | −0.167001 | − | 3.17936i | −0.000176162 | − | 0.00335375i | ||||
\(949\) | −95.3238 | + | 69.2568i | −0.100447 | + | 0.0729787i | ||||
\(950\) | −111.629 | + | 153.644i | −0.117504 | + | 0.161730i | ||||
\(951\) | 1168.44 | − | 946.413i | 1.22864 | − | 0.995176i | ||||
\(952\) | 246.487 | + | 758.610i | 0.258915 | + | 0.796859i | ||||
\(953\) | 1056.31 | − | 1453.89i | 1.10841 | − | 1.52559i | 0.284670 | − | 0.958626i | \(-0.408116\pi\) |
0.823739 | − | 0.566969i | \(-0.191884\pi\) | |||||||
\(954\) | 161.515 | − | 760.757i | 0.169303 | − | 0.797439i | ||||
\(955\) | 334.570 | − | 1029.70i | 0.350335 | − | 1.07822i | ||||
\(956\) | 2.50855i | 0.00262401i | ||||||||
\(957\) | 68.7640 | − | 44.2138i | 0.0718537 | − | 0.0462004i | ||||
\(958\) | 942.426 | 0.983743 | ||||||||
\(959\) | 281.105 | + | 91.3366i | 0.293123 | + | 0.0952415i | ||||
\(960\) | −879.447 | − | 570.971i | −0.916091 | − | 0.594762i | ||||
\(961\) | −1183.33 | − | 859.740i | −1.23135 | − | 0.894630i | ||||
\(962\) | −728.453 | + | 236.689i | −0.757228 | + | 0.246038i | ||||
\(963\) | −209.750 | + | 363.496i | −0.217808 | + | 0.377462i | ||||
\(964\) | 4.87964 | + | 3.54526i | 0.00506186 | + | 0.00367766i | ||||
\(965\) | 4.91173 | + | 6.76042i | 0.00508988 | + | 0.00700562i | ||||
\(966\) | 21.8027 | + | 415.078i | 0.0225701 | + | 0.429687i | ||||
\(967\) | −1767.36 | −1.82767 | −0.913835 | − | 0.406085i | \(-0.866894\pi\) | ||||
−0.913835 | + | 0.406085i | \(0.866894\pi\) | |||||||
\(968\) | 832.011 | + | 490.743i | 0.859515 | + | 0.506966i | ||||
\(969\) | −358.619 | − | 933.904i | −0.370092 | − | 0.963781i | ||||
\(970\) | −128.470 | + | 395.391i | −0.132444 | + | 0.407620i | ||||
\(971\) | −299.023 | − | 411.570i | −0.307954 | − | 0.423862i | 0.626788 | − | 0.779190i | \(-0.284369\pi\) |
−0.934742 | + | 0.355328i | \(0.884369\pi\) | |||||||
\(972\) | 1.46131 | − | 3.81361i | 0.00150341 | − | 0.00392346i | ||||
\(973\) | −149.505 | − | 460.128i | −0.153653 | − | 0.472896i | ||||
\(974\) | −484.530 | + | 157.433i | −0.497464 | + | 0.161636i | ||||
\(975\) | −142.999 | − | 38.2982i | −0.146665 | − | 0.0392802i | ||||
\(976\) | −401.255 | + | 291.529i | −0.411122 | + | 0.298698i | ||||
\(977\) | −1345.28 | − | 437.107i | −1.37695 | − | 0.447397i | −0.475281 | − | 0.879834i | \(-0.657654\pi\) |
−0.901664 | + | 0.432437i | \(0.857654\pi\) | |||||||
\(978\) | 260.726 | + | 678.972i | 0.266590 | + | 0.694246i | ||||
\(979\) | −367.573 | + | 76.3440i | −0.375458 | + | 0.0779816i | ||||
\(980\) | − | 1.63539i | − | 0.00166877i | ||||||
\(981\) | 616.827 | + | 1384.53i | 0.628773 | + | 1.41135i | ||||
\(982\) | −199.636 | + | 145.044i | −0.203295 | + | 0.147703i | ||||
\(983\) | 0.659524 | − | 0.907756i | 0.000670929 | − | 0.000923455i | −0.808681 | − | 0.588247i | \(-0.799818\pi\) |
0.809352 | + | 0.587323i | \(0.199818\pi\) | |||||||
\(984\) | −852.036 | − | 1051.92i | −0.865891 | − | 1.06903i | ||||
\(985\) | 365.154 | + | 1123.83i | 0.370715 | + | 1.14094i | ||||
\(986\) | −52.1561 | + | 71.7867i | −0.0528966 | + | 0.0728060i | ||||
\(987\) | 812.888 | + | 527.759i | 0.823595 | + | 0.534710i | ||||
\(988\) | 0.941609 | − | 2.89797i | 0.000953045 | − | 0.00293317i | ||||
\(989\) | − | 542.891i | − | 0.548929i | ||||||
\(990\) | 883.178 | − | 635.726i | 0.892099 | − | 0.642147i | ||||
\(991\) | −1431.64 | −1.44464 | −0.722320 | − | 0.691559i | \(-0.756924\pi\) | ||||
−0.722320 | + | 0.691559i | \(0.756924\pi\) | |||||||
\(992\) | −12.5904 | − | 4.09087i | −0.0126919 | − | 0.00412386i | ||||
\(993\) | 1067.55 | − | 1644.31i | 1.07508 | − | 1.65590i | ||||
\(994\) | 340.816 | + | 247.617i | 0.342873 | + | 0.249112i | ||||
\(995\) | −556.348 | + | 180.768i | −0.559144 | + | 0.181677i | ||||
\(996\) | 0.380101 | − | 0.307874i | 0.000381627 | − | 0.000309111i | ||||
\(997\) | 943.609 | + | 685.572i | 0.946448 | + | 0.687635i | 0.949964 | − | 0.312359i | \(-0.101119\pi\) |
−0.00351594 | + | 0.999994i | \(0.501119\pi\) | |||||||
\(998\) | −76.9591 | − | 105.925i | −0.0771133 | − | 0.106137i | ||||
\(999\) | 751.165 | + | 750.630i | 0.751917 | + | 0.751382i |
(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 | 33.3.h.b.20.3 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.20.2 | yes | 16 | |
11.2 | odd | 10 | 363.3.h.n.245.3 | 16 | |||
11.3 | even | 5 | 363.3.h.o.323.3 | 16 | |||
11.4 | even | 5 | 363.3.b.m.122.6 | 8 | |||
11.5 | even | 5 | inner | 33.3.h.b.5.2 | ✓ | 16 | |
11.6 | odd | 10 | 363.3.h.j.269.3 | 16 | |||
11.7 | odd | 10 | 363.3.b.l.122.3 | 8 | |||
11.8 | odd | 10 | 363.3.h.n.323.2 | 16 | |||
11.9 | even | 5 | 363.3.h.o.245.2 | 16 | |||
11.10 | odd | 2 | 363.3.h.j.251.2 | 16 | |||
33.2 | even | 10 | 363.3.h.n.245.2 | 16 | |||
33.5 | odd | 10 | inner | 33.3.h.b.5.3 | yes | 16 | |
33.8 | even | 10 | 363.3.h.n.323.3 | 16 | |||
33.14 | odd | 10 | 363.3.h.o.323.2 | 16 | |||
33.17 | even | 10 | 363.3.h.j.269.2 | 16 | |||
33.20 | odd | 10 | 363.3.h.o.245.3 | 16 | |||
33.26 | odd | 10 | 363.3.b.m.122.3 | 8 | |||
33.29 | even | 10 | 363.3.b.l.122.6 | 8 | |||
33.32 | even | 2 | 363.3.h.j.251.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.5.2 | ✓ | 16 | 11.5 | even | 5 | inner | |
33.3.h.b.5.3 | yes | 16 | 33.5 | odd | 10 | inner | |
33.3.h.b.20.2 | yes | 16 | 3.2 | odd | 2 | inner | |
33.3.h.b.20.3 | yes | 16 | 1.1 | even | 1 | trivial | |
363.3.b.l.122.3 | 8 | 11.7 | odd | 10 | |||
363.3.b.l.122.6 | 8 | 33.29 | even | 10 | |||
363.3.b.m.122.3 | 8 | 33.26 | odd | 10 | |||
363.3.b.m.122.6 | 8 | 11.4 | even | 5 | |||
363.3.h.j.251.2 | 16 | 11.10 | odd | 2 | |||
363.3.h.j.251.3 | 16 | 33.32 | even | 2 | |||
363.3.h.j.269.2 | 16 | 33.17 | even | 10 | |||
363.3.h.j.269.3 | 16 | 11.6 | odd | 10 | |||
363.3.h.n.245.2 | 16 | 33.2 | even | 10 | |||
363.3.h.n.245.3 | 16 | 11.2 | odd | 10 | |||
363.3.h.n.323.2 | 16 | 11.8 | odd | 10 | |||
363.3.h.n.323.3 | 16 | 33.8 | even | 10 | |||
363.3.h.o.245.2 | 16 | 11.9 | even | 5 | |||
363.3.h.o.245.3 | 16 | 33.20 | odd | 10 | |||
363.3.h.o.323.2 | 16 | 33.14 | odd | 10 | |||
363.3.h.o.323.3 | 16 | 11.3 | even | 5 |