Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 152.16 | ||
Character | \(\chi\) | \(=\) | 273.152 |
Dual form | 273.2.bf.b.185.16 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0436821 | + | 0.0252199i | −0.0308879 | + | 0.0178331i | −0.515364 | − | 0.856971i | \(-0.672343\pi\) |
0.484477 | + | 0.874804i | \(0.339010\pi\) | |||||||
\(3\) | 1.71783 | + | 0.221508i | 0.991789 | + | 0.127888i | ||||
\(4\) | −0.998728 | + | 1.72985i | −0.499364 | + | 0.864924i | ||||
\(5\) | −1.19579 | + | 2.07117i | −0.534774 | + | 0.926256i | 0.464400 | + | 0.885625i | \(0.346270\pi\) |
−0.999174 | + | 0.0406302i | \(0.987063\pi\) | |||||||
\(6\) | −0.0806247 | + | 0.0336474i | −0.0329149 | + | 0.0137365i | ||||
\(7\) | −2.29456 | − | 1.31719i | −0.867263 | − | 0.497850i | ||||
\(8\) | − | 0.201631i | − | 0.0712872i | ||||||
\(9\) | 2.90187 | + | 0.761026i | 0.967289 | + | 0.253675i | ||||
\(10\) | − | 0.120631i | − | 0.0381468i | ||||||
\(11\) | 3.29840i | 0.994505i | 0.867606 | + | 0.497253i | \(0.165658\pi\) | ||||
−0.867606 | + | 0.497253i | \(0.834342\pi\) | |||||||
\(12\) | −2.09882 | + | 2.75035i | −0.605877 | + | 0.793959i | ||||
\(13\) | 3.26013 | + | 1.53997i | 0.904199 | + | 0.427112i | ||||
\(14\) | 0.133451 | 0.000331113i | 0.0356662 | 8.84936e-5i | ||||||
\(15\) | −2.51294 | + | 3.29304i | −0.648840 | + | 0.850259i | ||||
\(16\) | −1.99237 | − | 3.45089i | −0.498093 | − | 0.862722i | ||||
\(17\) | −3.17498 | + | 5.49923i | −0.770046 | + | 1.33376i | 0.167490 | + | 0.985874i | \(0.446434\pi\) |
−0.937537 | + | 0.347886i | \(0.886900\pi\) | |||||||
\(18\) | −0.145953 | + | 0.0399415i | −0.0344014 | + | 0.00941430i | ||||
\(19\) | − | 4.97674i | − | 1.14174i | −0.821039 | − | 0.570871i | \(-0.806605\pi\) | ||
0.821039 | − | 0.570871i | \(-0.193395\pi\) | |||||||
\(20\) | −2.38854 | − | 4.13707i | −0.534094 | − | 0.925077i | ||||
\(21\) | −3.64990 | − | 2.77097i | −0.796473 | − | 0.604674i | ||||
\(22\) | −0.0831852 | − | 0.144081i | −0.0177351 | − | 0.0307182i | ||||
\(23\) | 3.28198 | − | 1.89485i | 0.684340 | − | 0.395104i | −0.117148 | − | 0.993114i | \(-0.537375\pi\) |
0.801488 | + | 0.598010i | \(0.204042\pi\) | |||||||
\(24\) | 0.0446628 | − | 0.346367i | 0.00911676 | − | 0.0707018i | ||||
\(25\) | −0.359831 | − | 0.623246i | −0.0719663 | − | 0.124649i | ||||
\(26\) | −0.181247 | + | 0.0149508i | −0.0355455 | + | 0.00293210i | ||||
\(27\) | 4.81634 | + | 1.95010i | 0.926905 | + | 0.375297i | ||||
\(28\) | 4.57018 | − | 2.65373i | 0.863682 | − | 0.501508i | ||||
\(29\) | 2.15531 | + | 1.24437i | 0.400231 | + | 0.231073i | 0.686584 | − | 0.727051i | \(-0.259110\pi\) |
−0.286353 | + | 0.958124i | \(0.592443\pi\) | |||||||
\(30\) | 0.0267207 | − | 0.207223i | 0.00487851 | − | 0.0378335i | ||||
\(31\) | 4.40944 | − | 2.54579i | 0.791960 | − | 0.457238i | −0.0486923 | − | 0.998814i | \(-0.515505\pi\) |
0.840652 | + | 0.541576i | \(0.182172\pi\) | |||||||
\(32\) | 0.523296 | + | 0.302125i | 0.0925066 | + | 0.0534087i | ||||
\(33\) | −0.730623 | + | 5.66609i | −0.127185 | + | 0.986339i | ||||
\(34\) | − | 0.320291i | − | 0.0549294i | ||||||
\(35\) | 5.47194 | − | 3.17735i | 0.924926 | − | 0.537070i | ||||
\(36\) | −4.21464 | + | 4.25973i | −0.702439 | + | 0.709955i | ||||
\(37\) | −2.62306 | − | 4.54327i | −0.431228 | − | 0.746909i | 0.565751 | − | 0.824576i | \(-0.308586\pi\) |
−0.996979 | + | 0.0776668i | \(0.975253\pi\) | |||||||
\(38\) | 0.125513 | + | 0.217394i | 0.0203609 | + | 0.0352660i | ||||
\(39\) | 5.25923 | + | 3.36756i | 0.842151 | + | 0.539241i | ||||
\(40\) | 0.417611 | + | 0.241108i | 0.0660301 | + | 0.0381225i | ||||
\(41\) | 0.726691 | − | 1.25866i | 0.113490 | − | 0.196570i | −0.803685 | − | 0.595055i | \(-0.797130\pi\) |
0.917175 | + | 0.398484i | \(0.130464\pi\) | |||||||
\(42\) | 0.229318 | + | 0.0289916i | 0.0353846 | + | 0.00447350i | ||||
\(43\) | −0.219074 | − | 0.379447i | −0.0334085 | − | 0.0578652i | 0.848838 | − | 0.528653i | \(-0.177303\pi\) |
−0.882246 | + | 0.470788i | \(0.843970\pi\) | |||||||
\(44\) | −5.70573 | − | 3.29420i | −0.860171 | − | 0.496620i | ||||
\(45\) | −5.04624 | + | 5.10024i | −0.752249 | + | 0.760298i | ||||
\(46\) | −0.0955758 | + | 0.165542i | −0.0140919 | + | 0.0244079i | ||||
\(47\) | 2.16184 | − | 3.74442i | 0.315337 | − | 0.546180i | −0.664172 | − | 0.747580i | \(-0.731216\pi\) |
0.979509 | + | 0.201400i | \(0.0645491\pi\) | |||||||
\(48\) | −2.65815 | − | 6.36936i | −0.383671 | − | 0.919338i | ||||
\(49\) | 3.53004 | + | 6.04474i | 0.504291 | + | 0.863534i | ||||
\(50\) | 0.0314364 | + | 0.0181498i | 0.00444577 | + | 0.00256677i | ||||
\(51\) | −6.67220 | + | 8.74345i | −0.934295 | + | 1.22433i | ||||
\(52\) | −5.91991 | + | 4.10152i | −0.820944 | + | 0.568778i | ||||
\(53\) | 11.7501 | − | 6.78394i | 1.61400 | − | 0.931845i | 0.625574 | − | 0.780165i | \(-0.284865\pi\) |
0.988430 | − | 0.151681i | \(-0.0484686\pi\) | |||||||
\(54\) | −0.259569 | + | 0.0362829i | −0.0353229 | + | 0.00493748i | ||||
\(55\) | −6.83155 | − | 3.94420i | −0.921166 | − | 0.531835i | ||||
\(56\) | −0.265585 | + | 0.462654i | −0.0354903 | + | 0.0618247i | ||||
\(57\) | 1.10239 | − | 8.54919i | 0.146015 | − | 1.13237i | ||||
\(58\) | −0.125531 | −0.0164831 | ||||||||
\(59\) | −1.41773 | + | 2.45559i | −0.184573 | + | 0.319690i | −0.943433 | − | 0.331564i | \(-0.892424\pi\) |
0.758859 | + | 0.651254i | \(0.225757\pi\) | |||||||
\(60\) | −3.18670 | − | 7.63586i | −0.411402 | − | 0.985785i | ||||
\(61\) | 2.84886i | 0.364759i | 0.983228 | + | 0.182380i | \(0.0583800\pi\) | ||||
−0.983228 | + | 0.182380i | \(0.941620\pi\) | |||||||
\(62\) | −0.128409 | + | 0.222411i | −0.0163080 | + | 0.0282462i | ||||
\(63\) | −5.65611 | − | 5.56852i | −0.712602 | − | 0.701568i | ||||
\(64\) | 7.93900 | 0.992376 | ||||||||
\(65\) | −7.08799 | + | 4.91081i | −0.879157 | + | 0.609111i | ||||
\(66\) | −0.110983 | − | 0.265933i | −0.0136610 | − | 0.0327340i | ||||
\(67\) | 1.43904 | 0.175806 | 0.0879032 | − | 0.996129i | \(-0.471983\pi\) | ||||
0.0879032 | + | 0.996129i | \(0.471983\pi\) | |||||||
\(68\) | −6.34189 | − | 10.9845i | −0.769067 | − | 1.33206i | ||||
\(69\) | 6.05761 | − | 2.52805i | 0.729250 | − | 0.304341i | ||||
\(70\) | −0.158893 | + | 0.276795i | −0.0189914 | + | 0.0330833i | ||||
\(71\) | −5.14430 | + | 2.97006i | −0.610516 | + | 0.352482i | −0.773167 | − | 0.634202i | \(-0.781329\pi\) |
0.162651 | + | 0.986684i | \(0.447995\pi\) | |||||||
\(72\) | 0.153446 | − | 0.585105i | 0.0180838 | − | 0.0689553i | ||||
\(73\) | 4.79664 | − | 2.76934i | 0.561404 | − | 0.324127i | −0.192305 | − | 0.981335i | \(-0.561596\pi\) |
0.753709 | + | 0.657209i | \(0.228263\pi\) | |||||||
\(74\) | 0.229161 | + | 0.132306i | 0.0266395 | + | 0.0153803i | ||||
\(75\) | −0.480074 | − | 1.15034i | −0.0554342 | − | 0.132829i | ||||
\(76\) | 8.60901 | + | 4.97041i | 0.987521 | + | 0.570145i | ||||
\(77\) | 4.34461 | − | 7.56839i | 0.495114 | − | 0.862498i | ||||
\(78\) | −0.314664 | − | 0.0144648i | −0.0356286 | − | 0.00163782i | ||||
\(79\) | 2.32507 | − | 4.02714i | 0.261591 | − | 0.453088i | −0.705074 | − | 0.709134i | \(-0.749086\pi\) |
0.966665 | + | 0.256045i | \(0.0824197\pi\) | |||||||
\(80\) | 9.52983 | 1.06547 | ||||||||
\(81\) | 7.84168 | + | 4.41680i | 0.871298 | + | 0.490755i | ||||
\(82\) | 0.0733081i | 0.00809553i | ||||||||
\(83\) | −16.2715 | −1.78603 | −0.893015 | − | 0.450026i | \(-0.851415\pi\) | ||||
−0.893015 | + | 0.450026i | \(0.851415\pi\) | |||||||
\(84\) | 8.43860 | − | 3.54633i | 0.920727 | − | 0.386936i | ||||
\(85\) | −7.59323 | − | 13.1519i | −0.823602 | − | 1.42652i | ||||
\(86\) | 0.0191392 | + | 0.0110500i | 0.00206384 | + | 0.00119156i | ||||
\(87\) | 3.42681 | + | 2.61503i | 0.367393 | + | 0.280361i | ||||
\(88\) | 0.665058 | 0.0708955 | ||||||||
\(89\) | 2.54744 | + | 4.41230i | 0.270028 | + | 0.467703i | 0.968869 | − | 0.247575i | \(-0.0796336\pi\) |
−0.698841 | + | 0.715278i | \(0.746300\pi\) | |||||||
\(90\) | 0.0918032 | − | 0.350054i | 0.00967690 | − | 0.0368990i | ||||
\(91\) | −5.45215 | − | 7.82777i | −0.571541 | − | 0.820574i | ||||
\(92\) | 7.56977i | 0.789203i | ||||||||
\(93\) | 8.13858 | − | 3.39651i | 0.843932 | − | 0.352202i | ||||
\(94\) | 0.218085i | 0.0224938i | ||||||||
\(95\) | 10.3077 | + | 5.95114i | 1.05755 | + | 0.610574i | ||||
\(96\) | 0.832010 | + | 0.634914i | 0.0849166 | + | 0.0648006i | ||||
\(97\) | −11.0551 | + | 6.38267i | −1.12248 | + | 0.648062i | −0.942032 | − | 0.335523i | \(-0.891087\pi\) |
−0.180445 | + | 0.983585i | \(0.557754\pi\) | |||||||
\(98\) | −0.306647 | − | 0.175020i | −0.0309760 | − | 0.0176796i | ||||
\(99\) | −2.51017 | + | 9.57152i | −0.252282 | + | 0.961974i | ||||
\(100\) | 1.43749 | 0.143749 | ||||||||
\(101\) | −15.4014 | −1.53250 | −0.766250 | − | 0.642543i | \(-0.777879\pi\) | ||||
−0.766250 | + | 0.642543i | \(0.777879\pi\) | |||||||
\(102\) | 0.0709470 | − | 0.550204i | 0.00702480 | − | 0.0544783i | ||||
\(103\) | −8.35522 | − | 4.82389i | −0.823264 | − | 0.475312i | 0.0282768 | − | 0.999600i | \(-0.490998\pi\) |
−0.851541 | + | 0.524288i | \(0.824331\pi\) | |||||||
\(104\) | 0.310506 | − | 0.657343i | 0.0304476 | − | 0.0644578i | ||||
\(105\) | 10.1037 | − | 4.24607i | 0.986016 | − | 0.414374i | ||||
\(106\) | −0.342180 | + | 0.592673i | −0.0332355 | + | 0.0575655i | ||||
\(107\) | 13.8559 | − | 7.99973i | 1.33950 | − | 0.773363i | 0.352770 | − | 0.935710i | \(-0.385240\pi\) |
0.986734 | + | 0.162347i | \(0.0519065\pi\) | |||||||
\(108\) | −8.18359 | + | 6.38391i | −0.787466 | + | 0.614292i | ||||
\(109\) | −1.34089 | − | 2.32249i | −0.128434 | − | 0.222454i | 0.794636 | − | 0.607086i | \(-0.207662\pi\) |
−0.923070 | + | 0.384632i | \(0.874328\pi\) | |||||||
\(110\) | 0.397888 | 0.0379372 | ||||||||
\(111\) | −3.49959 | − | 8.38559i | −0.332167 | − | 0.795925i | ||||
\(112\) | 0.0261579 | + | 10.5426i | 0.00247169 | + | 0.996182i | ||||
\(113\) | −1.59016 | + | 0.918079i | −0.149590 | + | 0.0863656i | −0.572927 | − | 0.819607i | \(-0.694192\pi\) |
0.423337 | + | 0.905972i | \(0.360859\pi\) | |||||||
\(114\) | 0.167455 | + | 0.401248i | 0.0156836 | + | 0.0375804i | ||||
\(115\) | 9.06339i | 0.845166i | ||||||||
\(116\) | −4.30514 | + | 2.48557i | −0.399722 | + | 0.230779i | ||||
\(117\) | 8.28852 | + | 6.94985i | 0.766274 | + | 0.642514i | ||||
\(118\) | − | 0.143020i | − | 0.0131661i | ||||||
\(119\) | 14.5287 | − | 8.43629i | 1.33184 | − | 0.773353i | ||||
\(120\) | 0.663977 | + | 0.506686i | 0.0606125 | + | 0.0462539i | ||||
\(121\) | 0.120556 | 0.0109597 | ||||||||
\(122\) | −0.0718479 | − | 0.124444i | −0.00650480 | − | 0.0112666i | ||||
\(123\) | 1.52713 | − | 2.00120i | 0.137697 | − | 0.180442i | ||||
\(124\) | 10.1702i | 0.913313i | ||||||||
\(125\) | −10.2368 | −0.915605 | ||||||||
\(126\) | 0.387508 | + | 0.100599i | 0.0345219 | + | 0.00896203i | ||||
\(127\) | 2.35503 | − | 4.07903i | 0.208975 | − | 0.361956i | −0.742417 | − | 0.669938i | \(-0.766321\pi\) |
0.951392 | + | 0.307983i | \(0.0996539\pi\) | |||||||
\(128\) | −1.39338 | + | 0.804471i | −0.123159 | + | 0.0711059i | ||||
\(129\) | −0.292281 | − | 0.700352i | −0.0257339 | − | 0.0616626i | ||||
\(130\) | 0.185768 | − | 0.393272i | 0.0162930 | − | 0.0344923i | ||||
\(131\) | −8.13750 | + | 14.0946i | −0.710977 | + | 1.23145i | 0.253514 | + | 0.967332i | \(0.418413\pi\) |
−0.964491 | + | 0.264116i | \(0.914920\pi\) | |||||||
\(132\) | −9.07177 | − | 6.92274i | −0.789596 | − | 0.602547i | ||||
\(133\) | −6.55530 | + | 11.4194i | −0.568416 | + | 0.990192i | ||||
\(134\) | −0.0628601 | + | 0.0362923i | −0.00543029 | + | 0.00313518i | ||||
\(135\) | −9.79832 | + | 7.64354i | −0.843305 | + | 0.657852i | ||||
\(136\) | 1.10881 | + | 0.640174i | 0.0950799 | + | 0.0548944i | ||||
\(137\) | 7.68590 | + | 4.43746i | 0.656651 | + | 0.379118i | 0.791000 | − | 0.611817i | \(-0.209561\pi\) |
−0.134349 | + | 0.990934i | \(0.542894\pi\) | |||||||
\(138\) | −0.200852 | + | 0.263202i | −0.0170976 | + | 0.0224053i | ||||
\(139\) | −4.70649 | + | 2.71729i | −0.399199 | + | 0.230478i | −0.686138 | − | 0.727471i | \(-0.740696\pi\) |
0.286939 | + | 0.957949i | \(0.407362\pi\) | |||||||
\(140\) | 0.0313592 | + | 12.6389i | 0.00265034 | + | 1.06818i | ||||
\(141\) | 4.54309 | − | 5.95341i | 0.382597 | − | 0.501367i | ||||
\(142\) | 0.149809 | − | 0.259477i | 0.0125717 | − | 0.0217748i | ||||
\(143\) | −5.07945 | + | 10.7532i | −0.424765 | + | 0.899230i | ||||
\(144\) | −3.15538 | − | 11.5303i | −0.262948 | − | 0.960856i | ||||
\(145\) | −5.15460 | + | 2.97601i | −0.428066 | + | 0.247144i | ||||
\(146\) | −0.139685 | + | 0.241941i | −0.0115604 | + | 0.0200232i | ||||
\(147\) | 4.72504 | + | 11.1658i | 0.389715 | + | 0.920936i | ||||
\(148\) | 10.4789 | 0.861359 | ||||||||
\(149\) | 3.71608i | 0.304433i | 0.988347 | + | 0.152217i | \(0.0486412\pi\) | ||||
−0.988347 | + | 0.152217i | \(0.951359\pi\) | |||||||
\(150\) | 0.0499820 | + | 0.0381417i | 0.00408101 | + | 0.00311425i | ||||
\(151\) | 9.64969 | + | 16.7138i | 0.785280 | + | 1.36015i | 0.928831 | + | 0.370503i | \(0.120815\pi\) |
−0.143551 | + | 0.989643i | \(0.545852\pi\) | |||||||
\(152\) | −1.00346 | −0.0813916 | ||||||||
\(153\) | −13.3984 | + | 13.5418i | −1.08320 | + | 1.09479i | ||||
\(154\) | 0.00109214 | + | 0.440173i | 8.80073e−5 | + | 0.0354702i | ||||
\(155\) | 12.1769i | 0.978076i | ||||||||
\(156\) | −11.0779 | + | 5.73440i | −0.886942 | + | 0.459119i | ||||
\(157\) | −5.75610 | + | 3.32329i | −0.459387 | + | 0.265227i | −0.711786 | − | 0.702396i | \(-0.752114\pi\) |
0.252400 | + | 0.967623i | \(0.418780\pi\) | |||||||
\(158\) | 0.234552i | 0.0186599i | ||||||||
\(159\) | 21.6874 | − | 9.05089i | 1.71992 | − | 0.717782i | ||||
\(160\) | −1.25151 | + | 0.722557i | −0.0989402 | + | 0.0571232i | ||||
\(161\) | −10.0266 | + | 0.0248776i | −0.790206 | + | 0.00196063i | ||||
\(162\) | −0.453932 | + | 0.00483116i | −0.0356642 | + | 0.000379571i | ||||
\(163\) | 19.3779 | 1.51779 | 0.758896 | − | 0.651212i | \(-0.225739\pi\) | ||||
0.758896 | + | 0.651212i | \(0.225739\pi\) | |||||||
\(164\) | 1.45153 | + | 2.51413i | 0.113346 | + | 0.196320i | ||||
\(165\) | −10.8618 | − | 8.28870i | −0.845587 | − | 0.645274i | ||||
\(166\) | 0.710774 | − | 0.410365i | 0.0551667 | − | 0.0318505i | ||||
\(167\) | 8.60942 | − | 14.9119i | 0.666217 | − | 1.15392i | −0.312737 | − | 0.949840i | \(-0.601246\pi\) |
0.978954 | − | 0.204081i | \(-0.0654207\pi\) | |||||||
\(168\) | −0.558711 | + | 0.735931i | −0.0431055 | + | 0.0567783i | ||||
\(169\) | 8.25696 | + | 10.0410i | 0.635150 | + | 0.772388i | ||||
\(170\) | 0.663376 | + | 0.383000i | 0.0508786 | + | 0.0293748i | ||||
\(171\) | 3.78743 | − | 14.4419i | 0.289632 | − | 1.10440i | ||||
\(172\) | 0.875181 | 0.0667320 | ||||||||
\(173\) | 1.04020 | 0.0790850 | 0.0395425 | − | 0.999218i | \(-0.487410\pi\) | ||||
0.0395425 | + | 0.999218i | \(0.487410\pi\) | |||||||
\(174\) | −0.215641 | − | 0.0278062i | −0.0163477 | − | 0.00210798i | ||||
\(175\) | 0.00472424 | + | 1.90404i | 0.000357119 | + | 0.143932i | ||||
\(176\) | 11.3824 | − | 6.57164i | 0.857981 | − | 0.495356i | ||||
\(177\) | −2.97936 | + | 3.90424i | −0.223942 | + | 0.293460i | ||||
\(178\) | −0.222555 | − | 0.128492i | −0.0166812 | − | 0.00963090i | ||||
\(179\) | − | 3.13656i | − | 0.234437i | −0.993106 | − | 0.117219i | \(-0.962602\pi\) | ||
0.993106 | − | 0.117219i | \(-0.0373979\pi\) | |||||||
\(180\) | −3.78281 | − | 13.8230i | −0.281954 | − | 1.03030i | ||||
\(181\) | − | 20.8722i | − | 1.55142i | −0.631091 | − | 0.775709i | \(-0.717393\pi\) | ||
0.631091 | − | 0.775709i | \(-0.282607\pi\) | |||||||
\(182\) | 0.435577 | + | 0.204431i | 0.0322871 | + | 0.0151534i | ||||
\(183\) | −0.631046 | + | 4.89386i | −0.0466483 | + | 0.361764i | ||||
\(184\) | −0.382060 | − | 0.661748i | −0.0281659 | − | 0.0487847i | ||||
\(185\) | 12.5465 | 0.922439 | ||||||||
\(186\) | −0.269851 | + | 0.353621i | −0.0197864 | + | 0.0259287i | ||||
\(187\) | −18.1387 | − | 10.4724i | −1.32643 | − | 0.765815i | ||||
\(188\) | 4.31818 | + | 7.47931i | 0.314936 | + | 0.545485i | ||||
\(189\) | −8.48274 | − | 10.8186i | −0.617029 | − | 0.786941i | ||||
\(190\) | −0.600348 | −0.0435538 | ||||||||
\(191\) | − | 24.2675i | − | 1.75593i | −0.478723 | − | 0.877966i | \(-0.658900\pi\) | ||
0.478723 | − | 0.877966i | \(-0.341100\pi\) | |||||||
\(192\) | 13.6378 | + | 1.75856i | 0.984227 | + | 0.126913i | ||||
\(193\) | 1.54878 | 0.111484 | 0.0557419 | − | 0.998445i | \(-0.482248\pi\) | ||||
0.0557419 | + | 0.998445i | \(0.482248\pi\) | |||||||
\(194\) | 0.321940 | − | 0.557617i | 0.0231140 | − | 0.0400346i | ||||
\(195\) | −13.2637 | + | 6.86587i | −0.949836 | + | 0.491676i | ||||
\(196\) | −13.9820 | + | 0.0693838i | −0.998716 | + | 0.00495598i | ||||
\(197\) | −18.2395 | − | 10.5306i | −1.29951 | − | 0.750273i | −0.319191 | − | 0.947690i | \(-0.603411\pi\) |
−0.980319 | + | 0.197418i | \(0.936744\pi\) | |||||||
\(198\) | −0.131743 | − | 0.481410i | −0.00936257 | − | 0.0342123i | ||||
\(199\) | 17.3749 | + | 10.0314i | 1.23167 | + | 0.711106i | 0.967378 | − | 0.253337i | \(-0.0815280\pi\) |
0.264293 | + | 0.964442i | \(0.414861\pi\) | |||||||
\(200\) | −0.125666 | + | 0.0725530i | −0.00888589 | + | 0.00513027i | ||||
\(201\) | 2.47202 | + | 0.318759i | 0.174363 | + | 0.0224835i | ||||
\(202\) | 0.672766 | − | 0.388422i | 0.0473357 | − | 0.0273293i | ||||
\(203\) | −3.30643 | − | 5.69423i | −0.232066 | − | 0.399656i | ||||
\(204\) | −8.46112 | − | 20.2742i | −0.592397 | − | 1.41948i | ||||
\(205\) | 1.73794 | + | 3.01020i | 0.121383 | + | 0.210241i | ||||
\(206\) | 0.486631 | 0.0339052 | ||||||||
\(207\) | 10.9659 | − | 3.00094i | 0.762183 | − | 0.208580i | ||||
\(208\) | −1.18112 | − | 14.3186i | −0.0818958 | − | 0.992813i | ||||
\(209\) | 16.4153 | 1.13547 | ||||||||
\(210\) | −0.334263 | + | 0.440290i | −0.0230664 | + | 0.0303829i | ||||
\(211\) | −9.09366 | + | 15.7507i | −0.626033 | + | 1.08432i | 0.362307 | + | 0.932059i | \(0.381989\pi\) |
−0.988340 | + | 0.152263i | \(0.951344\pi\) | |||||||
\(212\) | 27.1012i | 1.86132i | ||||||||
\(213\) | −9.49491 | + | 3.96255i | −0.650581 | + | 0.271510i | ||||
\(214\) | −0.403504 | + | 0.698889i | −0.0275830 | + | 0.0477751i | ||||
\(215\) | 1.04787 | 0.0714639 | ||||||||
\(216\) | 0.393200 | − | 0.971121i | 0.0267539 | − | 0.0660764i | ||||
\(217\) | −13.4710 | + | 0.0334238i | −0.914473 | + | 0.00226896i | ||||
\(218\) | 0.117146 | + | 0.0676341i | 0.00793410 | + | 0.00458076i | ||||
\(219\) | 8.85323 | − | 3.69475i | 0.598246 | − | 0.249668i | ||||
\(220\) | 13.6457 | − | 7.87836i | 0.919994 | − | 0.531159i | ||||
\(221\) | −18.8196 | + | 13.0388i | −1.26594 | + | 0.877087i | ||||
\(222\) | 0.364353 | + | 0.278041i | 0.0244538 | + | 0.0186609i | ||||
\(223\) | 21.7090 | + | 12.5337i | 1.45374 | + | 0.839320i | 0.998691 | − | 0.0511442i | \(-0.0162868\pi\) |
0.455053 | + | 0.890464i | \(0.349620\pi\) | |||||||
\(224\) | −0.802781 | − | 1.38252i | −0.0536381 | − | 0.0923738i | ||||
\(225\) | −0.569876 | − | 2.08242i | −0.0379918 | − | 0.138828i | ||||
\(226\) | 0.0463076 | − | 0.0802072i | 0.00308034 | − | 0.00533530i | ||||
\(227\) | 2.81023 | − | 4.86746i | 0.186522 | − | 0.323065i | −0.757567 | − | 0.652758i | \(-0.773612\pi\) |
0.944088 | + | 0.329693i | \(0.106945\pi\) | |||||||
\(228\) | 13.6878 | + | 10.4453i | 0.906497 | + | 0.691756i | ||||
\(229\) | −12.7089 | − | 7.33749i | −0.839828 | − | 0.484875i | 0.0173777 | − | 0.999849i | \(-0.494468\pi\) |
−0.857206 | + | 0.514974i | \(0.827802\pi\) | |||||||
\(230\) | −0.228577 | − | 0.395908i | −0.0150720 | − | 0.0261054i | ||||
\(231\) | 9.13975 | − | 12.0388i | 0.601352 | − | 0.792096i | ||||
\(232\) | 0.250903 | − | 0.434576i | 0.0164726 | − | 0.0285313i | ||||
\(233\) | −12.2033 | − | 7.04557i | −0.799464 | − | 0.461571i | 0.0438198 | − | 0.999039i | \(-0.486047\pi\) |
−0.843284 | + | 0.537469i | \(0.819381\pi\) | |||||||
\(234\) | −0.537334 | − | 0.0945487i | −0.0351266 | − | 0.00618084i | ||||
\(235\) | 5.17022 | + | 8.95509i | 0.337268 | + | 0.584165i | ||||
\(236\) | −2.83186 | − | 4.90493i | −0.184338 | − | 0.319284i | ||||
\(237\) | 4.88611 | − | 6.40291i | 0.317387 | − | 0.415913i | ||||
\(238\) | −0.421882 | + | 0.734927i | −0.0273466 | + | 0.0476382i | ||||
\(239\) | − | 23.9806i | − | 1.55117i | −0.631241 | − | 0.775587i | \(-0.717454\pi\) | ||
0.631241 | − | 0.775587i | \(-0.282546\pi\) | |||||||
\(240\) | 16.3706 | + | 2.11094i | 1.05672 | + | 0.136260i | ||||
\(241\) | −13.4868 | − | 7.78659i | −0.868759 | − | 0.501578i | −0.00182319 | − | 0.999998i | \(-0.500580\pi\) |
−0.866936 | + | 0.498420i | \(0.833914\pi\) | |||||||
\(242\) | −0.00526615 | + | 0.00304042i | −0.000338521 | + | 0.000195445i | ||||
\(243\) | 12.4923 | + | 9.32429i | 0.801381 | + | 0.598154i | ||||
\(244\) | −4.92810 | − | 2.84524i | −0.315489 | − | 0.182148i | ||||
\(245\) | −16.7409 | + | 0.0830741i | −1.06953 | + | 0.00530741i | ||||
\(246\) | −0.0162384 | + | 0.125931i | −0.00103532 | + | 0.00802905i | ||||
\(247\) | 7.66406 | − | 16.2249i | 0.487652 | − | 1.03236i | ||||
\(248\) | −0.513310 | − | 0.889079i | −0.0325952 | − | 0.0564566i | ||||
\(249\) | −27.9517 | − | 3.60428i | −1.77136 | − | 0.228412i | ||||
\(250\) | 0.447164 | − | 0.258170i | 0.0282811 | − | 0.0163281i | ||||
\(251\) | 5.82685 | + | 10.0924i | 0.367788 | + | 0.637027i | 0.989219 | − | 0.146441i | \(-0.0467820\pi\) |
−0.621432 | + | 0.783468i | \(0.713449\pi\) | |||||||
\(252\) | 15.2816 | − | 4.22276i | 0.962651 | − | 0.266009i | ||||
\(253\) | 6.24998 | + | 10.8253i | 0.392933 | + | 0.680580i | ||||
\(254\) | 0.237574i | 0.0149067i | ||||||||
\(255\) | −10.1306 | − | 24.2746i | −0.634404 | − | 1.52013i | ||||
\(256\) | −7.89843 | + | 13.6805i | −0.493652 | + | 0.855030i | ||||
\(257\) | 0.00851839 | + | 0.0147543i | 0.000531363 | + | 0.000920347i | 0.866291 | − | 0.499540i | \(-0.166498\pi\) |
−0.865760 | + | 0.500460i | \(0.833164\pi\) | |||||||
\(258\) | 0.0304302 | + | 0.0232216i | 0.00189450 | + | 0.00144571i | ||||
\(259\) | 0.0344383 | + | 13.8799i | 0.00213989 | + | 0.862454i | ||||
\(260\) | −1.41597 | − | 17.1657i | −0.0878150 | − | 1.06457i | ||||
\(261\) | 5.30743 | + | 5.25124i | 0.328521 | + | 0.325044i | ||||
\(262\) | − | 0.820906i | − | 0.0507158i | ||||||
\(263\) | − | 11.0395i | − | 0.680726i | −0.940294 | − | 0.340363i | \(-0.889450\pi\) | ||
0.940294 | − | 0.340363i | \(-0.110550\pi\) | |||||||
\(264\) | 1.14246 | + | 0.147316i | 0.0703133 | + | 0.00906667i | ||||
\(265\) | 32.4487i | 1.99331i | ||||||||
\(266\) | −0.00164786 | − | 0.664149i | −0.000101037 | − | 0.0407216i | ||||
\(267\) | 3.39871 | + | 8.14385i | 0.207997 | + | 0.498395i | ||||
\(268\) | −1.43721 | + | 2.48931i | −0.0877914 | + | 0.152059i | ||||
\(269\) | −7.50933 | + | 13.0065i | −0.457852 | + | 0.793022i | −0.998847 | − | 0.0480030i | \(-0.984714\pi\) |
0.540995 | + | 0.841026i | \(0.318048\pi\) | |||||||
\(270\) | 0.235242 | − | 0.580998i | 0.0143164 | − | 0.0353584i | ||||
\(271\) | −11.4856 | + | 6.63121i | −0.697700 | + | 0.402817i | −0.806490 | − | 0.591248i | \(-0.798636\pi\) |
0.108790 | + | 0.994065i | \(0.465302\pi\) | |||||||
\(272\) | 25.3030 | 1.53422 | ||||||||
\(273\) | −7.63194 | − | 14.6545i | −0.461906 | − | 0.886929i | ||||
\(274\) | −0.447648 | −0.0270434 | ||||||||
\(275\) | 2.05572 | − | 1.18687i | 0.123964 | − | 0.0715708i | ||||
\(276\) | −1.67677 | + | 13.0036i | −0.100929 | + | 0.782723i | ||||
\(277\) | 11.5143 | − | 19.9433i | 0.691826 | − | 1.19828i | −0.279413 | − | 0.960171i | \(-0.590140\pi\) |
0.971239 | − | 0.238107i | \(-0.0765269\pi\) | |||||||
\(278\) | 0.137060 | − | 0.237394i | 0.00822028 | − | 0.0142379i | ||||
\(279\) | 14.7330 | − | 4.03185i | 0.882044 | − | 0.241381i | ||||
\(280\) | −0.640651 | − | 1.10331i | −0.0382862 | − | 0.0659353i | ||||
\(281\) | − | 11.1312i | − | 0.664031i | −0.943274 | − | 0.332016i | \(-0.892271\pi\) | ||
0.943274 | − | 0.332016i | \(-0.107729\pi\) | |||||||
\(282\) | −0.0483077 | + | 0.374633i | −0.00287668 | + | 0.0223091i | ||||
\(283\) | − | 21.6445i | − | 1.28663i | −0.765600 | − | 0.643317i | \(-0.777558\pi\) | ||
0.765600 | − | 0.643317i | \(-0.222442\pi\) | |||||||
\(284\) | − | 11.8651i | − | 0.704066i | ||||||
\(285\) | 16.3886 | + | 12.5063i | 0.970777 | + | 0.740808i | ||||
\(286\) | −0.0493139 | − | 0.597826i | −0.00291599 | − | 0.0353502i | ||||
\(287\) | −3.32533 | + | 1.93090i | −0.196288 | + | 0.113977i | ||||
\(288\) | 1.28861 | + | 1.27497i | 0.0759321 | + | 0.0751283i | ||||
\(289\) | −11.6610 | − | 20.1975i | −0.685943 | − | 1.18809i | ||||
\(290\) | 0.150109 | − | 0.259997i | 0.00881471 | − | 0.0152675i | ||||
\(291\) | −20.4046 | + | 8.51554i | −1.19614 | + | 0.499190i | ||||
\(292\) | 11.0633i | 0.647429i | ||||||||
\(293\) | −2.12989 | − | 3.68908i | −0.124430 | − | 0.215519i | 0.797080 | − | 0.603874i | \(-0.206377\pi\) |
−0.921510 | + | 0.388355i | \(0.873043\pi\) | |||||||
\(294\) | −0.487998 | − | 0.368578i | −0.0284606 | − | 0.0214959i | ||||
\(295\) | −3.39063 | − | 5.87274i | −0.197410 | − | 0.341924i | ||||
\(296\) | −0.916062 | + | 0.528889i | −0.0532451 | + | 0.0307410i | ||||
\(297\) | −6.43221 | + | 15.8862i | −0.373235 | + | 0.921811i | ||||
\(298\) | −0.0937191 | − | 0.162326i | −0.00542900 | − | 0.00940331i | ||||
\(299\) | 13.6177 | − | 1.12331i | 0.787533 | − | 0.0649625i | ||||
\(300\) | 2.46937 | + | 0.318417i | 0.142569 | + | 0.0183838i | ||||
\(301\) | 0.00287623 | + | 1.15923i | 0.000165783 | + | 0.0668168i | ||||
\(302\) | −0.843037 | − | 0.486728i | −0.0485113 | − | 0.0280080i | ||||
\(303\) | −26.4570 | − | 3.41154i | −1.51992 | − | 0.195988i | ||||
\(304\) | −17.1742 | + | 9.91552i | −0.985007 | + | 0.568694i | ||||
\(305\) | −5.90048 | − | 3.40664i | −0.337860 | − | 0.195064i | ||||
\(306\) | 0.243750 | − | 0.929441i | 0.0139342 | − | 0.0531326i | ||||
\(307\) | − | 23.3540i | − | 1.33288i | −0.745557 | − | 0.666441i | \(-0.767817\pi\) | ||
0.745557 | − | 0.666441i | \(-0.232183\pi\) | |||||||
\(308\) | 8.75307 | + | 15.0743i | 0.498753 | + | 0.858936i | ||||
\(309\) | −13.2843 | − | 10.1374i | −0.755717 | − | 0.576694i | ||||
\(310\) | −0.307101 | − | 0.531914i | −0.0174422 | − | 0.0302107i | ||||
\(311\) | −10.9226 | − | 18.9184i | −0.619362 | − | 1.07277i | −0.989602 | − | 0.143830i | \(-0.954058\pi\) |
0.370241 | − | 0.928936i | \(-0.379275\pi\) | |||||||
\(312\) | 0.679003 | − | 1.06042i | 0.0384410 | − | 0.0600346i | ||||
\(313\) | 11.2662 | + | 6.50456i | 0.636804 | + | 0.367659i | 0.783383 | − | 0.621540i | \(-0.213493\pi\) |
−0.146578 | + | 0.989199i | \(0.546826\pi\) | |||||||
\(314\) | 0.167626 | − | 0.290336i | 0.00945966 | − | 0.0163846i | ||||
\(315\) | 18.2969 | − | 5.05597i | 1.03091 | − | 0.284872i | ||||
\(316\) | 4.64422 | + | 8.04403i | 0.261258 | + | 0.452512i | ||||
\(317\) | 18.4310 | + | 10.6412i | 1.03519 | + | 0.597667i | 0.918467 | − | 0.395497i | \(-0.129428\pi\) |
0.116723 | + | 0.993165i | \(0.462761\pi\) | |||||||
\(318\) | −0.719088 | + | 0.942315i | −0.0403245 | + | 0.0528424i | ||||
\(319\) | −4.10442 | + | 7.10907i | −0.229804 | + | 0.398032i | ||||
\(320\) | −9.49339 | + | 16.4430i | −0.530697 | + | 0.919193i | ||||
\(321\) | 25.5741 | − | 10.6730i | 1.42741 | − | 0.595706i | ||||
\(322\) | 0.437355 | − | 0.253956i | 0.0243728 | − | 0.0141524i | ||||
\(323\) | 27.3683 | + | 15.8011i | 1.52281 | + | 0.879195i | ||||
\(324\) | −15.4721 | + | 9.15373i | −0.859560 | + | 0.508540i | ||||
\(325\) | −0.213315 | − | 2.58600i | −0.0118326 | − | 0.143445i | ||||
\(326\) | −0.846465 | + | 0.488707i | −0.0468814 | + | 0.0270670i | ||||
\(327\) | −1.78897 | − | 4.28665i | −0.0989301 | − | 0.237052i | ||||
\(328\) | −0.253785 | − | 0.146523i | −0.0140129 | − | 0.00809038i | ||||
\(329\) | −9.89258 | + | 5.74426i | −0.545396 | + | 0.316691i | ||||
\(330\) | 0.683504 | + | 0.0881356i | 0.0376257 | + | 0.00485170i | ||||
\(331\) | −6.79074 | −0.373253 | −0.186626 | − | 0.982431i | \(-0.559755\pi\) | ||||
−0.186626 | + | 0.982431i | \(0.559755\pi\) | |||||||
\(332\) | 16.2508 | − | 28.1472i | 0.891879 | − | 1.54478i | ||||
\(333\) | −4.15422 | − | 15.1802i | −0.227650 | − | 0.831870i | ||||
\(334\) | 0.868513i | 0.0475229i | ||||||||
\(335\) | −1.72079 | + | 2.98049i | −0.0940167 | + | 0.162842i | ||||
\(336\) | −2.29034 | + | 18.1162i | −0.124948 | + | 0.988318i | ||||
\(337\) | −27.2006 | −1.48171 | −0.740854 | − | 0.671666i | \(-0.765579\pi\) | ||||
−0.740854 | + | 0.671666i | \(0.765579\pi\) | |||||||
\(338\) | −0.613915 | − | 0.230375i | −0.0333926 | − | 0.0125307i | ||||
\(339\) | −2.93498 | + | 1.22487i | −0.159406 | + | 0.0665257i | ||||
\(340\) | 30.3343 | 1.64511 | ||||||||
\(341\) | 8.39705 | + | 14.5441i | 0.454726 | + | 0.787608i | ||||
\(342\) | 0.198779 | + | 0.726369i | 0.0107487 | + | 0.0392775i | ||||
\(343\) | −0.137854 | − | 18.5197i | −0.00744340 | − | 0.999972i | ||||
\(344\) | −0.0765082 | + | 0.0441720i | −0.00412505 | + | 0.00238160i | ||||
\(345\) | −2.00762 | + | 15.5693i | −0.108086 | + | 0.838226i | ||||
\(346\) | −0.0454382 | + | 0.0262337i | −0.00244277 | + | 0.00141033i | ||||
\(347\) | −22.8690 | − | 13.2034i | −1.22767 | − | 0.708796i | −0.261129 | − | 0.965304i | \(-0.584095\pi\) |
−0.966542 | + | 0.256508i | \(0.917428\pi\) | |||||||
\(348\) | −7.94606 | + | 3.31616i | −0.425953 | + | 0.177765i | ||||
\(349\) | 5.26120 | + | 3.03756i | 0.281626 | + | 0.162597i | 0.634159 | − | 0.773203i | \(-0.281346\pi\) |
−0.352533 | + | 0.935799i | \(0.614680\pi\) | |||||||
\(350\) | −0.0482261 | − | 0.0830534i | −0.00257779 | − | 0.00443939i | ||||
\(351\) | 12.6988 | + | 13.7746i | 0.677812 | + | 0.735235i | ||||
\(352\) | −0.996530 | + | 1.72604i | −0.0531152 | + | 0.0919983i | ||||
\(353\) | 25.2183 | 1.34224 | 0.671118 | − | 0.741350i | \(-0.265814\pi\) | ||||
0.671118 | + | 0.741350i | \(0.265814\pi\) | |||||||
\(354\) | 0.0316802 | − | 0.245684i | 0.00168378 | − | 0.0130580i | ||||
\(355\) | − | 14.2063i | − | 0.753992i | ||||||
\(356\) | −10.1768 | −0.539369 | ||||||||
\(357\) | 26.8265 | − | 11.2739i | 1.41981 | − | 0.596676i | ||||
\(358\) | 0.0791036 | + | 0.137011i | 0.00418076 | + | 0.00724128i | ||||
\(359\) | 11.9864 | + | 6.92033i | 0.632616 | + | 0.365241i | 0.781764 | − | 0.623574i | \(-0.214320\pi\) |
−0.149149 | + | 0.988815i | \(0.547653\pi\) | |||||||
\(360\) | 1.02836 | + | 1.01748i | 0.0541995 | + | 0.0536257i | ||||
\(361\) | −5.76796 | −0.303577 | ||||||||
\(362\) | 0.526394 | + | 0.911740i | 0.0276666 | + | 0.0479200i | ||||
\(363\) | 0.207095 | + | 0.0267042i | 0.0108697 | + | 0.00140161i | ||||
\(364\) | 18.9861 | − | 1.61357i | 0.995141 | − | 0.0845741i | ||||
\(365\) | 13.2462i | 0.693338i | ||||||||
\(366\) | −0.0958569 | − | 0.229689i | −0.00501052 | − | 0.0120060i | ||||
\(367\) | − | 19.8158i | − | 1.03438i | −0.855872 | − | 0.517188i | \(-0.826979\pi\) | ||
0.855872 | − | 0.517188i | \(-0.173021\pi\) | |||||||
\(368\) | −13.0778 | − | 7.55050i | −0.681730 | − | 0.393597i | ||||
\(369\) | 3.06664 | − | 3.09945i | 0.159643 | − | 0.161351i | ||||
\(370\) | −0.548058 | + | 0.316422i | −0.0284922 | + | 0.0164500i | ||||
\(371\) | −35.8971 | + | 0.0890666i | −1.86369 | + | 0.00462411i | ||||
\(372\) | −2.25279 | + | 17.4707i | −0.116802 | + | 0.905813i | ||||
\(373\) | −17.5663 | −0.909550 | −0.454775 | − | 0.890606i | \(-0.650280\pi\) | ||||
−0.454775 | + | 0.890606i | \(0.650280\pi\) | |||||||
\(374\) | 1.05645 | 0.0546275 | ||||||||
\(375\) | −17.5850 | − | 2.26753i | −0.908087 | − | 0.117095i | ||||
\(376\) | −0.754990 | − | 0.435893i | −0.0389356 | − | 0.0224795i | ||||
\(377\) | 5.11030 | + | 7.37593i | 0.263194 | + | 0.379880i | ||||
\(378\) | 0.643389 | + | 0.258647i | 0.0330923 | + | 0.0133034i | ||||
\(379\) | 9.24290 | − | 16.0092i | 0.474776 | − | 0.822336i | −0.524807 | − | 0.851221i | \(-0.675862\pi\) |
0.999583 | + | 0.0288853i | \(0.00919576\pi\) | |||||||
\(380\) | −20.5891 | + | 11.8871i | −1.05620 | + | 0.609798i | ||||
\(381\) | 4.94908 | − | 6.48542i | 0.253549 | − | 0.332258i | ||||
\(382\) | 0.612022 | + | 1.06005i | 0.0313138 | + | 0.0542370i | ||||
\(383\) | 3.16515 | 0.161732 | 0.0808659 | − | 0.996725i | \(-0.474231\pi\) | ||||
0.0808659 | + | 0.996725i | \(0.474231\pi\) | |||||||
\(384\) | −2.57179 | + | 1.07330i | −0.131241 | + | 0.0547714i | ||||
\(385\) | 10.4802 | + | 18.0486i | 0.534119 | + | 0.919843i | ||||
\(386\) | −0.0676540 | + | 0.0390601i | −0.00344350 | + | 0.00198811i | ||||
\(387\) | −0.346955 | − | 1.26783i | −0.0176367 | − | 0.0644473i | ||||
\(388\) | − | 25.4982i | − | 1.29448i | ||||||
\(389\) | −13.6079 | + | 7.85653i | −0.689949 | + | 0.398342i | −0.803593 | − | 0.595179i | \(-0.797081\pi\) |
0.113644 | + | 0.993522i | \(0.463748\pi\) | |||||||
\(390\) | 0.406231 | − | 0.634425i | 0.0205703 | − | 0.0321254i | ||||
\(391\) | 24.0645i | 1.21699i | ||||||||
\(392\) | 1.21880 | − | 0.711764i | 0.0615589 | − | 0.0359495i | ||||
\(393\) | −17.1009 | + | 22.4095i | −0.862626 | + | 1.13041i | ||||
\(394\) | 1.06232 | 0.0535189 | ||||||||
\(395\) | 5.56059 | + | 9.63122i | 0.279784 | + | 0.484599i | ||||
\(396\) | −14.0503 | − | 13.9016i | −0.706054 | − | 0.698580i | ||||
\(397\) | 17.3611i | 0.871328i | 0.900109 | + | 0.435664i | \(0.143486\pi\) | ||||
−0.900109 | + | 0.435664i | \(0.856514\pi\) | |||||||
\(398\) | −1.01196 | −0.0507250 | ||||||||
\(399\) | −13.7904 | + | 18.1646i | −0.690382 | + | 0.909367i | ||||
\(400\) | −1.43384 | + | 2.48348i | −0.0716918 | + | 0.124174i | ||||
\(401\) | −5.99869 | + | 3.46334i | −0.299560 | + | 0.172951i | −0.642245 | − | 0.766499i | \(-0.721997\pi\) |
0.342685 | + | 0.939450i | \(0.388664\pi\) | |||||||
\(402\) | −0.116022 | + | 0.0484199i | −0.00578665 | + | 0.00241497i | ||||
\(403\) | 18.2958 | − | 1.50920i | 0.911381 | − | 0.0751785i | ||||
\(404\) | 15.3818 | − | 26.6421i | 0.765275 | − | 1.32550i | ||||
\(405\) | −18.5249 | + | 10.9599i | −0.920512 | + | 0.544601i | ||||
\(406\) | 0.288039 | + | 0.165348i | 0.0142951 | + | 0.00820608i | ||||
\(407\) | 14.9855 | − | 8.65190i | 0.742805 | − | 0.428859i | ||||
\(408\) | 1.76295 | + | 1.34532i | 0.0872789 | + | 0.0666032i | ||||
\(409\) | −3.27394 | − | 1.89021i | −0.161886 | − | 0.0934648i | 0.416868 | − | 0.908967i | \(-0.363128\pi\) |
−0.578754 | + | 0.815502i | \(0.696461\pi\) | |||||||
\(410\) | −0.151834 | − | 0.0876612i | −0.00749853 | − | 0.00432928i | ||||
\(411\) | 12.2201 | + | 9.32528i | 0.602774 | + | 0.459982i | ||||
\(412\) | 16.6892 | − | 9.63550i | 0.822217 | − | 0.474707i | ||||
\(413\) | 6.48755 | − | 3.76708i | 0.319231 | − | 0.185366i | ||||
\(414\) | −0.403331 | + | 0.407646i | −0.0198226 | + | 0.0200347i | ||||
\(415\) | 19.4573 | − | 33.7011i | 0.955123 | − | 1.65432i | ||||
\(416\) | 1.24075 | + | 1.79083i | 0.0608328 | + | 0.0878027i | ||||
\(417\) | −8.68685 | + | 3.62532i | −0.425397 | + | 0.177533i | ||||
\(418\) | −0.717054 | + | 0.413991i | −0.0350723 | + | 0.0202490i | ||||
\(419\) | −12.6236 | + | 21.8647i | −0.616703 | + | 1.06816i | 0.373380 | + | 0.927678i | \(0.378199\pi\) |
−0.990083 | + | 0.140483i | \(0.955135\pi\) | |||||||
\(420\) | −2.74576 | + | 21.7184i | −0.133979 | + | 1.05975i | ||||
\(421\) | 18.4740 | 0.900367 | 0.450184 | − | 0.892936i | \(-0.351358\pi\) | ||||
0.450184 | + | 0.892936i | \(0.351358\pi\) | |||||||
\(422\) | − | 0.917363i | − | 0.0446565i | ||||||
\(423\) | 9.12298 | − | 9.22059i | 0.443575 | − | 0.448321i | ||||
\(424\) | −1.36785 | − | 2.36918i | −0.0664286 | − | 0.115058i | ||||
\(425\) | 4.56983 | 0.221670 | ||||||||
\(426\) | 0.314823 | − | 0.412553i | 0.0152532 | − | 0.0199883i | ||||
\(427\) | 3.75248 | − | 6.53689i | 0.181595 | − | 0.316342i | ||||
\(428\) | 31.9582i | 1.54476i | ||||||||
\(429\) | −11.1076 | + | 17.3471i | −0.536278 | + | 0.837524i | ||||
\(430\) | −0.0457730 | + | 0.0264271i | −0.00220737 | + | 0.00127443i | ||||
\(431\) | 30.7005i | 1.47879i | 0.673270 | + | 0.739397i | \(0.264889\pi\) | ||||
−0.673270 | + | 0.739397i | \(0.735111\pi\) | |||||||
\(432\) | −2.86635 | − | 20.5060i | −0.137907 | − | 0.986594i | ||||
\(433\) | 5.40561 | − | 3.12093i | 0.259777 | − | 0.149982i | −0.364456 | − | 0.931221i | \(-0.618745\pi\) |
0.624233 | + | 0.781238i | \(0.285412\pi\) | |||||||
\(434\) | 0.587600 | − | 0.341198i | 0.0282057 | − | 0.0163780i | ||||
\(435\) | −9.51393 | + | 3.97049i | −0.456158 | + | 0.190370i | ||||
\(436\) | 5.35673 | 0.256541 | ||||||||
\(437\) | −9.43019 | − | 16.3336i | −0.451107 | − | 0.781341i | ||||
\(438\) | −0.293546 | + | 0.384672i | −0.0140262 | + | 0.0183803i | ||||
\(439\) | −5.15298 | + | 2.97507i | −0.245938 | + | 0.141993i | −0.617903 | − | 0.786254i | \(-0.712018\pi\) |
0.371965 | + | 0.928247i | \(0.378684\pi\) | |||||||
\(440\) | −0.795271 | + | 1.37745i | −0.0379130 | + | 0.0656673i | ||||
\(441\) | 5.64351 | + | 20.2275i | 0.268738 | + | 0.963213i | ||||
\(442\) | 0.493239 | − | 1.04419i | 0.0234610 | − | 0.0496671i | ||||
\(443\) | 6.56417 | + | 3.78983i | 0.311873 | + | 0.180060i | 0.647764 | − | 0.761841i | \(-0.275704\pi\) |
−0.335891 | + | 0.941901i | \(0.609037\pi\) | |||||||
\(444\) | 18.0009 | + | 2.32116i | 0.854287 | + | 0.110157i | ||||
\(445\) | −12.1848 | −0.577616 | ||||||||
\(446\) | −1.26439 | −0.0598708 | ||||||||
\(447\) | −0.823143 | + | 6.38359i | −0.0389333 | + | 0.301934i | ||||
\(448\) | −18.2165 | − | 10.4572i | −0.860651 | − | 0.494054i | ||||
\(449\) | −31.9151 | + | 18.4262i | −1.50617 | + | 0.869586i | −0.506192 | + | 0.862421i | \(0.668947\pi\) |
−0.999974 | + | 0.00716492i | \(0.997719\pi\) | |||||||
\(450\) | 0.0774117 | + | 0.0765922i | 0.00364922 | + | 0.00361059i | ||||
\(451\) | 4.15158 | + | 2.39692i | 0.195490 | + | 0.112866i | ||||
\(452\) | − | 3.66764i | − | 0.172511i | ||||||
\(453\) | 12.8743 | + | 30.8488i | 0.604886 | + | 1.44940i | ||||
\(454\) | 0.283495i | 0.0133051i | ||||||||
\(455\) | 22.7323 | − | 1.93195i | 1.06571 | − | 0.0905713i | ||||
\(456\) | −1.72378 | − | 0.222275i | −0.0807233 | − | 0.0104090i | ||||
\(457\) | 7.61524 | + | 13.1900i | 0.356226 | + | 0.617001i | 0.987327 | − | 0.158699i | \(-0.0507301\pi\) |
−0.631101 | + | 0.775700i | \(0.717397\pi\) | |||||||
\(458\) | 0.740202 | 0.0345874 | ||||||||
\(459\) | −26.0158 | + | 20.2946i | −1.21432 | + | 0.947272i | ||||
\(460\) | −15.6783 | − | 9.05186i | −0.731004 | − | 0.422045i | ||||
\(461\) | 6.56203 | + | 11.3658i | 0.305624 | + | 0.529356i | 0.977400 | − | 0.211398i | \(-0.0678016\pi\) |
−0.671776 | + | 0.740754i | \(0.734468\pi\) | |||||||
\(462\) | −0.0956259 | + | 0.756384i | −0.00444892 | + | 0.0351902i | ||||
\(463\) | −4.01885 | −0.186772 | −0.0933859 | − | 0.995630i | \(-0.529769\pi\) | ||||
−0.0933859 | + | 0.995630i | \(0.529769\pi\) | |||||||
\(464\) | − | 9.91697i | − | 0.460384i | ||||||
\(465\) | −2.69730 | + | 20.9179i | −0.125084 | + | 0.970045i | ||||
\(466\) | 0.710753 | 0.0329250 | ||||||||
\(467\) | 3.22927 | − | 5.59327i | 0.149433 | − | 0.258825i | −0.781585 | − | 0.623799i | \(-0.785589\pi\) |
0.931018 | + | 0.364973i | \(0.118922\pi\) | |||||||
\(468\) | −20.3002 | + | 7.39686i | −0.938375 | + | 0.341920i | ||||
\(469\) | −3.30196 | − | 1.89548i | −0.152470 | − | 0.0875251i | ||||
\(470\) | −0.451692 | − | 0.260785i | −0.0208350 | − | 0.0120291i | ||||
\(471\) | −10.6241 | + | 4.43381i | −0.489534 | + | 0.204299i | ||||
\(472\) | 0.495121 | + | 0.285858i | 0.0227898 | + | 0.0131577i | ||||
\(473\) | 1.25157 | − | 0.722594i | 0.0575472 | − | 0.0332249i | ||||
\(474\) | −0.0519551 | + | 0.402919i | −0.00238638 | + | 0.0185067i | ||||
\(475\) | −3.10174 | + | 1.79079i | −0.142317 | + | 0.0821670i | ||||
\(476\) | 0.0832629 | + | 33.5580i | 0.00381635 | + | 1.53813i | ||||
\(477\) | 39.2601 | − | 10.7439i | 1.79760 | − | 0.491931i | ||||
\(478\) | 0.604787 | + | 1.04752i | 0.0276623 | + | 0.0479125i | ||||
\(479\) | −24.0394 | −1.09839 | −0.549195 | − | 0.835694i | \(-0.685065\pi\) | ||||
−0.549195 | + | 0.835694i | \(0.685065\pi\) | |||||||
\(480\) | −2.30992 | + | 0.964010i | −0.105433 | + | 0.0440008i | ||||
\(481\) | −1.55500 | − | 18.8511i | −0.0709020 | − | 0.859537i | ||||
\(482\) | 0.785506 | 0.0357788 | ||||||||
\(483\) | −17.2295 | − | 2.17824i | −0.783968 | − | 0.0991132i | ||||
\(484\) | −0.120403 | + | 0.208544i | −0.00547286 | + | 0.00947928i | ||||
\(485\) | − | 30.5294i | − | 1.38627i | ||||||
\(486\) | −0.780847 | − | 0.0922506i | −0.0354199 | − | 0.00418457i | ||||
\(487\) | −5.56310 | + | 9.63558i | −0.252088 | + | 0.436630i | −0.964101 | − | 0.265537i | \(-0.914451\pi\) |
0.712012 | + | 0.702167i | \(0.247784\pi\) | |||||||
\(488\) | 0.574418 | 0.0260027 | ||||||||
\(489\) | 33.2878 | + | 4.29236i | 1.50533 | + | 0.194107i | ||||
\(490\) | 0.729181 | − | 0.425831i | 0.0329410 | − | 0.0192371i | ||||
\(491\) | 0.596057 | + | 0.344134i | 0.0268997 | + | 0.0155305i | 0.513390 | − | 0.858156i | \(-0.328390\pi\) |
−0.486490 | + | 0.873686i | \(0.661723\pi\) | |||||||
\(492\) | 1.93658 | + | 4.64037i | 0.0873079 | + | 0.209204i | ||||
\(493\) | −13.6861 | + | 7.90170i | −0.616393 | + | 0.355875i | ||||
\(494\) | 0.0744065 | + | 0.902022i | 0.00334771 | + | 0.0405839i | ||||
\(495\) | −16.8226 | − | 16.6445i | −0.756120 | − | 0.748116i | ||||
\(496\) | −17.5705 | − | 10.1443i | −0.788939 | − | 0.455494i | ||||
\(497\) | 15.7160 | − | 0.0389941i | 0.704961 | − | 0.00174912i | ||||
\(498\) | 1.31189 | − | 0.547495i | 0.0587870 | − | 0.0245338i | ||||
\(499\) | 7.85879 | − | 13.6118i | 0.351808 | − | 0.609349i | −0.634759 | − | 0.772711i | \(-0.718900\pi\) |
0.986566 | + | 0.163362i | \(0.0522338\pi\) | |||||||
\(500\) | 10.2238 | − | 17.7081i | 0.457220 | − | 0.791929i | ||||
\(501\) | 18.0926 | − | 23.7091i | 0.808319 | − | 1.05924i | ||||
\(502\) | −0.509058 | − | 0.293905i | −0.0227204 | − | 0.0131176i | ||||
\(503\) | 4.12748 | + | 7.14901i | 0.184035 | + | 0.318758i | 0.943251 | − | 0.332081i | \(-0.107751\pi\) |
−0.759216 | + | 0.650839i | \(0.774417\pi\) | |||||||
\(504\) | −1.12278 | + | 1.14044i | −0.0500128 | + | 0.0507994i | ||||
\(505\) | 18.4169 | − | 31.8990i | 0.819541 | − | 1.41949i | ||||
\(506\) | −0.546025 | − | 0.315247i | −0.0242738 | − | 0.0140145i | ||||
\(507\) | 11.9599 | + | 19.0778i | 0.531156 | + | 0.847274i | ||||
\(508\) | 4.70407 | + | 8.14769i | 0.208709 | + | 0.361495i | ||||
\(509\) | −4.10928 | − | 7.11748i | −0.182141 | − | 0.315477i | 0.760469 | − | 0.649375i | \(-0.224969\pi\) |
−0.942609 | + | 0.333898i | \(0.891636\pi\) | |||||||
\(510\) | 1.05473 | + | 0.804872i | 0.0467042 | + | 0.0356403i | ||||
\(511\) | −14.6539 | + | 0.0363588i | −0.648251 | + | 0.00160842i | ||||
\(512\) | − | 4.01467i | − | 0.177425i | ||||||
\(513\) | 9.70515 | − | 23.9697i | 0.428493 | − | 1.05829i | ||||
\(514\) | −0.000744202 | 0 | 0.000429665i | −3.28254e−5 | 0 | 1.89517e-5i | ||||
\(515\) | 19.9822 | − | 11.5367i | 0.880520 | − | 0.508369i | ||||
\(516\) | 1.50341 | + | 0.193860i | 0.0661840 | + | 0.00853421i | ||||
\(517\) | 12.3506 | + | 7.13062i | 0.543179 | + | 0.313604i | ||||
\(518\) | −0.351553 | − | 0.605434i | −0.0154464 | − | 0.0266012i | ||||
\(519\) | 1.78689 | + | 0.230413i | 0.0784357 | + | 0.0101140i | ||||
\(520\) | 0.990169 | + | 1.42916i | 0.0434218 | + | 0.0626726i | ||||
\(521\) | −16.9788 | − | 29.4082i | −0.743856 | − | 1.28840i | −0.950727 | − | 0.310028i | \(-0.899661\pi\) |
0.206871 | − | 0.978368i | \(-0.433672\pi\) | |||||||
\(522\) | −0.364275 | − | 0.0955326i | −0.0159439 | − | 0.00418135i | ||||
\(523\) | 22.3419 | − | 12.8991i | 0.976941 | − | 0.564037i | 0.0755959 | − | 0.997139i | \(-0.475914\pi\) |
0.901345 | + | 0.433101i | \(0.142581\pi\) | |||||||
\(524\) | −16.2543 | − | 28.1533i | −0.710072 | − | 1.22988i | ||||
\(525\) | −0.413646 | + | 3.27187i | −0.0180530 | + | 0.142796i | ||||
\(526\) | 0.278415 | + | 0.482229i | 0.0121395 | + | 0.0210262i | ||||
\(527\) | 32.3314i | 1.40838i | ||||||||
\(528\) | 21.0087 | − | 8.76764i | 0.914286 | − | 0.381563i | ||||
\(529\) | −4.31907 | + | 7.48084i | −0.187785 | + | 0.325254i | ||||
\(530\) | −0.818351 | − | 1.41743i | −0.0355469 | − | 0.0615690i | ||||
\(531\) | −5.98284 | + | 6.04686i | −0.259633 | + | 0.262411i | ||||
\(532\) | −13.2069 | − | 22.7446i | −0.572594 | − | 0.986103i | ||||
\(533\) | 4.30742 | − | 2.98433i | 0.186575 | − | 0.129266i | ||||
\(534\) | −0.353849 | − | 0.270025i | −0.0153126 | − | 0.0116851i | ||||
\(535\) | 38.2640i | 1.65430i | ||||||||
\(536\) | − | 0.290154i | − | 0.0125327i | ||||||
\(537\) | 0.694774 | − | 5.38807i | 0.0299817 | − | 0.232512i | ||||
\(538\) | − | 0.757537i | − | 0.0326597i | ||||||
\(539\) | −19.9380 | + | 11.6435i | −0.858789 | + | 0.501520i | ||||
\(540\) | −3.43631 | − | 24.5834i | −0.147875 | − | 1.05790i | ||||
\(541\) | −6.70147 | + | 11.6073i | −0.288119 | + | 0.499036i | −0.973361 | − | 0.229279i | \(-0.926363\pi\) |
0.685242 | + | 0.728315i | \(0.259696\pi\) | |||||||
\(542\) | 0.334476 | − | 0.579330i | 0.0143670 | − | 0.0248843i | ||||
\(543\) | 4.62336 | − | 35.8548i | 0.198407 | − | 1.53868i | ||||
\(544\) | −3.32291 | + | 1.91848i | −0.142469 | + | 0.0822544i | ||||
\(545\) | 6.41369 | 0.274732 | ||||||||
\(546\) | 0.702963 | + | 0.447661i | 0.0300840 | + | 0.0191581i | ||||
\(547\) | 27.6554 | 1.18246 | 0.591230 | − | 0.806503i | \(-0.298642\pi\) | ||||
0.591230 | + | 0.806503i | \(0.298642\pi\) | |||||||
\(548\) | −15.3522 | + | 8.86362i | −0.655815 | + | 0.378635i | ||||
\(549\) | −2.16806 | + | 8.26702i | −0.0925305 | + | 0.352828i | ||||
\(550\) | −0.0598653 | + | 0.103690i | −0.00255266 | + | 0.00442135i | ||||
\(551\) | 6.19290 | − | 10.7264i | 0.263826 | − | 0.456961i | ||||
\(552\) | −0.509731 | − | 1.22140i | −0.0216956 | − | 0.0519862i | ||||
\(553\) | −10.6395 | + | 6.17797i | −0.452438 | + | 0.262714i | ||||
\(554\) | 1.16155i | 0.0493497i | ||||||||
\(555\) | 21.5528 | + | 2.77916i | 0.914864 | + | 0.117969i | ||||
\(556\) | − | 10.8553i | − | 0.460369i | ||||||
\(557\) | − | 13.8889i | − | 0.588491i | −0.955730 | − | 0.294245i | \(-0.904932\pi\) | ||
0.955730 | − | 0.294245i | \(-0.0950683\pi\) | |||||||
\(558\) | −0.541887 | + | 0.547685i | −0.0229399 | + | 0.0231854i | ||||
\(559\) | −0.129872 | − | 1.57442i | −0.00549298 | − | 0.0665908i | ||||
\(560\) | −21.8668 | − | 12.5526i | −0.924041 | − | 0.530443i | ||||
\(561\) | −28.8394 | − | 22.0076i | −1.21760 | − | 0.929161i | ||||
\(562\) | 0.280727 | + | 0.486234i | 0.0118418 | + | 0.0205105i | ||||
\(563\) | 5.84070 | − | 10.1164i | 0.246156 | − | 0.426355i | −0.716300 | − | 0.697792i | \(-0.754166\pi\) |
0.962456 | + | 0.271438i | \(0.0874991\pi\) | |||||||
\(564\) | 5.76117 | + | 13.8047i | 0.242589 | + | 0.581282i | ||||
\(565\) | − | 4.39132i | − | 0.184744i | ||||||
\(566\) | 0.545872 | + | 0.945478i | 0.0229447 | + | 0.0397414i | ||||
\(567\) | −12.1755 | − | 20.4636i | −0.511322 | − | 0.859389i | ||||
\(568\) | 0.598855 | + | 1.03725i | 0.0251274 | + | 0.0435220i | ||||
\(569\) | 12.4870 | − | 7.20937i | 0.523482 | − | 0.302233i | −0.214876 | − | 0.976641i | \(-0.568935\pi\) |
0.738358 | + | 0.674409i | \(0.235601\pi\) | |||||||
\(570\) | −1.03129 | − | 0.132982i | −0.0431962 | − | 0.00557001i | ||||
\(571\) | −1.58864 | − | 2.75161i | −0.0664827 | − | 0.115151i | 0.830868 | − | 0.556469i | \(-0.187844\pi\) |
−0.897351 | + | 0.441318i | \(0.854511\pi\) | |||||||
\(572\) | −13.5285 | − | 19.5262i | −0.565653 | − | 0.816433i | ||||
\(573\) | 5.37544 | − | 41.6873i | 0.224562 | − | 1.74151i | ||||
\(574\) | 0.0965605 | − | 0.168210i | 0.00403036 | − | 0.00702096i | ||||
\(575\) | −2.36192 | − | 1.36366i | −0.0984989 | − | 0.0568684i | ||||
\(576\) | 23.0379 | + | 6.04179i | 0.959914 | + | 0.251741i | ||||
\(577\) | 28.1688 | − | 16.2633i | 1.17268 | − | 0.677048i | 0.218371 | − | 0.975866i | \(-0.429926\pi\) |
0.954310 | + | 0.298818i | \(0.0965922\pi\) | |||||||
\(578\) | 1.01876 | + | 0.588179i | 0.0423747 | + | 0.0244650i | ||||
\(579\) | 2.66054 | + | 0.343068i | 0.110568 | + | 0.0142574i | ||||
\(580\) | − | 11.8889i | − | 0.493659i | ||||||
\(581\) | 37.3360 | + | 21.4326i | 1.54896 | + | 0.889175i | ||||
\(582\) | 0.676555 | − | 0.886578i | 0.0280441 | − | 0.0367498i | ||||
\(583\) | 22.3761 | + | 38.7566i | 0.926725 | + | 1.60513i | ||||
\(584\) | −0.558383 | − | 0.967148i | −0.0231061 | − | 0.0400209i | ||||
\(585\) | −24.3057 | + | 8.85637i | −1.00492 | + | 0.366166i | ||||
\(586\) | 0.186076 | + | 0.107431i | 0.00768674 | + | 0.00443794i | ||||
\(587\) | −15.9879 | + | 27.6918i | −0.659890 | + | 1.14296i | 0.320754 | + | 0.947163i | \(0.396064\pi\) |
−0.980644 | + | 0.195800i | \(0.937270\pi\) | |||||||
\(588\) | −24.0341 | − | 2.97794i | −0.991149 | − | 0.122808i | ||||
\(589\) | −12.6698 | − | 21.9447i | −0.522048 | − | 0.904214i | ||||
\(590\) | 0.296219 | + | 0.171022i | 0.0121952 | + | 0.00704087i | ||||
\(591\) | −28.9997 | − | 22.1299i | −1.19289 | − | 0.910304i | ||||
\(592\) | −10.4522 | + | 18.1038i | −0.429583 | + | 0.744060i | ||||
\(593\) | 9.25724 | − | 16.0340i | 0.380149 | − | 0.658438i | −0.610934 | − | 0.791681i | \(-0.709206\pi\) |
0.991083 | + | 0.133244i | \(0.0425393\pi\) | |||||||
\(594\) | −0.119676 | − | 0.856162i | −0.00491035 | − | 0.0351288i | ||||
\(595\) | 0.0996918 | + | 40.1795i | 0.00408697 | + | 1.64720i | ||||
\(596\) | −6.42826 | − | 3.71136i | −0.263312 | − | 0.152023i | ||||
\(597\) | 27.6250 | + | 21.0809i | 1.13062 | + | 0.862782i | ||||
\(598\) | −0.566521 | + | 0.392506i | −0.0231668 | + | 0.0160507i | ||||
\(599\) | 17.5513 | − | 10.1332i | 0.717125 | − | 0.414033i | −0.0965683 | − | 0.995326i | \(-0.530787\pi\) |
0.813694 | + | 0.581294i | \(0.197453\pi\) | |||||||
\(600\) | −0.231943 | + | 0.0967977i | −0.00946903 | + | 0.00395175i | ||||
\(601\) | −28.7369 | − | 16.5912i | −1.17220 | − | 0.676771i | −0.218004 | − | 0.975948i | \(-0.569955\pi\) |
−0.954198 | + | 0.299177i | \(0.903288\pi\) | |||||||
\(602\) | −0.0293612 | − | 0.0505649i | −0.00119667 | − | 0.00206087i | ||||
\(603\) | 4.17590 | + | 1.09515i | 0.170056 | + | 0.0445978i | ||||
\(604\) | −38.5497 | −1.56856 | ||||||||
\(605\) | −0.144160 | + | 0.249693i | −0.00586095 | + | 0.0101515i | ||||
\(606\) | 1.24174 | − | 0.518219i | 0.0504421 | − | 0.0210512i | ||||
\(607\) | 9.93135i | 0.403101i | 0.979478 | + | 0.201551i | \(0.0645980\pi\) | ||||
−0.979478 | + | 0.201551i | \(0.935402\pi\) | |||||||
\(608\) | 1.50360 | − | 2.60431i | 0.0609790 | − | 0.105619i | ||||
\(609\) | −4.41856 | − | 10.5141i | −0.179049 | − | 0.426053i | ||||
\(610\) | 0.343660 | 0.0139144 | ||||||||
\(611\) | 12.8142 | − | 8.87813i | 0.518407 | − | 0.359171i | ||||
\(612\) | −10.0439 | − | 36.7018i | −0.405999 | − | 1.48358i | ||||
\(613\) | 23.8083 | 0.961606 | 0.480803 | − | 0.876829i | \(-0.340345\pi\) | ||||
0.480803 | + | 0.876829i | \(0.340345\pi\) | |||||||
\(614\) | 0.588985 | + | 1.02015i | 0.0237695 | + | 0.0411699i | ||||
\(615\) | 2.31870 | + | 5.55597i | 0.0934989 | + | 0.224039i | ||||
\(616\) | −1.52602 | − | 0.876006i | −0.0614850 | − | 0.0352953i | ||||
\(617\) | 24.2100 | − | 13.9777i | 0.974659 | − | 0.562720i | 0.0740057 | − | 0.997258i | \(-0.476422\pi\) |
0.900653 | + | 0.434538i | \(0.143088\pi\) | |||||||
\(618\) | 0.835948 | + | 0.107793i | 0.0336268 | + | 0.00433606i | ||||
\(619\) | −10.8076 | + | 6.23976i | −0.434393 | + | 0.250797i | −0.701216 | − | 0.712949i | \(-0.747359\pi\) |
0.266823 | + | 0.963745i | \(0.414026\pi\) | |||||||
\(620\) | −21.0643 | − | 12.1615i | −0.845961 | − | 0.488416i | ||||
\(621\) | 19.5023 | − | 2.72606i | 0.782600 | − | 0.109393i | ||||
\(622\) | 0.954240 | + | 0.550931i | 0.0382615 | + | 0.0220903i | ||||
\(623\) | −0.0334455 | − | 13.4798i | −0.00133996 | − | 0.540055i | ||||
\(624\) | 1.14272 | − | 24.8585i | 0.0457455 | − | 0.995134i | ||||
\(625\) | 14.0402 | − | 24.3183i | 0.561608 | − | 0.972734i | ||||
\(626\) | −0.656176 | −0.0262261 | ||||||||
\(627\) | 28.1986 | + | 3.63612i | 1.12615 | + | 0.145213i | ||||
\(628\) | − | 13.2762i | − | 0.529779i | ||||||
\(629\) | 33.3127 | 1.32826 | ||||||||
\(630\) | −0.671735 | + | 0.682300i | −0.0267626 | + | 0.0271835i | ||||
\(631\) | 0.0948913 | + | 0.164357i | 0.00377756 | + | 0.00654293i | 0.867908 | − | 0.496725i | \(-0.165464\pi\) |
−0.864130 | + | 0.503268i | \(0.832131\pi\) | |||||||
\(632\) | −0.811994 | − | 0.468805i | −0.0322994 | − | 0.0186481i | ||||
\(633\) | −19.1103 | + | 25.0426i | −0.759564 | + | 0.995356i | ||||
\(634\) | −1.07347 | −0.0426331 | ||||||||
\(635\) | 5.63225 | + | 9.75534i | 0.223509 | + | 0.387129i | ||||
\(636\) | −6.00315 | + | 46.5553i | −0.238040 | + | 1.84604i | ||||
\(637\) | 2.19966 | + | 25.1428i | 0.0871539 | + | 0.996195i | ||||
\(638\) | − | 0.414052i | − | 0.0163925i | ||||||
\(639\) | −17.1884 | + | 4.70378i | −0.679961 | + | 0.186079i | ||||
\(640\) | − | 3.84792i | − | 0.152102i | ||||||
\(641\) | −20.6497 | − | 11.9221i | −0.815614 | − | 0.470895i | 0.0332875 | − | 0.999446i | \(-0.489402\pi\) |
−0.848902 | + | 0.528551i | \(0.822736\pi\) | |||||||
\(642\) | −0.847960 | + | 1.11119i | −0.0334663 | + | 0.0438553i | ||||
\(643\) | −30.1098 | + | 17.3839i | −1.18741 | + | 0.685553i | −0.957718 | − | 0.287709i | \(-0.907106\pi\) |
−0.229696 | + | 0.973263i | \(0.573773\pi\) | |||||||
\(644\) | 9.97080 | − | 17.3693i | 0.392905 | − | 0.684447i | ||||
\(645\) | 1.80006 | + | 0.232111i | 0.0708771 | + | 0.00913937i | ||||
\(646\) | −1.59400 | −0.0627152 | ||||||||
\(647\) | −12.7566 | −0.501515 | −0.250757 | − | 0.968050i | \(-0.580680\pi\) | ||||
−0.250757 | + | 0.968050i | \(0.580680\pi\) | |||||||
\(648\) | 0.890561 | − | 1.58112i | 0.0349845 | − | 0.0621123i | ||||
\(649\) | −8.09951 | − | 4.67625i | −0.317934 | − | 0.183559i | ||||
\(650\) | 0.0745366 | + | 0.107582i | 0.00292356 | + | 0.00421971i | ||||
\(651\) | −23.1483 | − | 2.92653i | −0.907255 | − | 0.114700i | ||||
\(652\) | −19.3532 | + | 33.5207i | −0.757930 | + | 1.31277i | ||||
\(653\) | −10.7080 | + | 6.18226i | −0.419036 | + | 0.241931i | −0.694665 | − | 0.719334i | \(-0.744447\pi\) |
0.275629 | + | 0.961264i | \(0.411114\pi\) | |||||||
\(654\) | 0.186255 | + | 0.142132i | 0.00728313 | + | 0.00555782i | ||||
\(655\) | −19.4615 | − | 33.7083i | −0.760423 | − | 1.31709i | ||||
\(656\) | −5.79135 | −0.226114 | ||||||||
\(657\) | 16.0267 | − | 4.38589i | 0.625263 | − | 0.171110i | ||||
\(658\) | 0.287259 | − | 0.500411i | 0.0111985 | − | 0.0195080i | ||||
\(659\) | −7.20356 | + | 4.15898i | −0.280611 | + | 0.162011i | −0.633700 | − | 0.773579i | \(-0.718465\pi\) |
0.353089 | + | 0.935590i | \(0.385131\pi\) | |||||||
\(660\) | 25.1861 | − | 10.5110i | 0.980368 | − | 0.409141i | ||||
\(661\) | 33.1766i | 1.29042i | 0.764005 | + | 0.645210i | \(0.223230\pi\) | ||||
−0.764005 | + | 0.645210i | \(0.776770\pi\) | |||||||
\(662\) | 0.296634 | − | 0.171261i | 0.0115290 | − | 0.00665627i | ||||
\(663\) | −35.2170 | + | 18.2298i | −1.36771 | + | 0.707987i | ||||
\(664\) | 3.28083i | 0.127321i | ||||||||
\(665\) | −15.8129 | − | 27.2324i | −0.613196 | − | 1.05603i | ||||
\(666\) | 0.564307 | + | 0.558334i | 0.0218665 | + | 0.0216350i | ||||
\(667\) | 9.43158 | 0.365192 | ||||||||
\(668\) | 17.1969 | + | 29.7860i | 0.665369 | + | 1.15245i | ||||
\(669\) | 34.5161 | + | 26.3395i | 1.33447 | + | 1.01834i | ||||
\(670\) | − | 0.173592i | − | 0.00670645i | ||||||
\(671\) | −9.39669 | −0.362755 | ||||||||
\(672\) | −1.07280 | − | 2.55276i | −0.0413841 | − | 0.0984749i | ||||
\(673\) | −10.9583 | + | 18.9804i | −0.422412 | + | 0.731640i | −0.996175 | − | 0.0873819i | \(-0.972150\pi\) |
0.573762 | + | 0.819022i | \(0.305483\pi\) | |||||||
\(674\) | 1.18818 | − | 0.685994i | 0.0457669 | − | 0.0264235i | ||||
\(675\) | −0.517677 | − | 3.70347i | −0.0199254 | − | 0.142547i | ||||
\(676\) | −25.6159 | + | 4.25500i | −0.985228 | + | 0.163654i | ||||
\(677\) | −16.0223 | + | 27.7515i | −0.615787 | + | 1.06658i | 0.374458 | + | 0.927244i | \(0.377829\pi\) |
−0.990246 | + | 0.139331i | \(0.955505\pi\) | |||||||
\(678\) | 0.0973151 | − | 0.127525i | 0.00373736 | − | 0.00489755i | ||||
\(679\) | 33.7738 | − | 0.0837984i | 1.29612 | − | 0.00321589i | ||||
\(680\) | −2.65182 | + | 1.53103i | −0.101693 | + | 0.0587122i | ||||
\(681\) | 5.90568 | − | 7.73898i | 0.226306 | − | 0.296558i | ||||
\(682\) | −0.733601 | − | 0.423545i | −0.0280910 | − | 0.0162184i | ||||
\(683\) | 15.8147 | + | 9.13064i | 0.605134 | + | 0.349374i | 0.771059 | − | 0.636764i | \(-0.219727\pi\) |
−0.165924 | + | 0.986138i | \(0.553061\pi\) | |||||||
\(684\) | 21.1996 | + | 20.9752i | 0.810586 | + | 0.802005i | ||||
\(685\) | −18.3815 | + | 10.6125i | −0.702319 | + | 0.405484i | ||||
\(686\) | 0.473087 | + | 0.805504i | 0.0180626 | + | 0.0307543i | ||||
\(687\) | −20.2064 | − | 15.4197i | −0.770922 | − | 0.588297i | ||||
\(688\) | −0.872953 | + | 1.51200i | −0.0332810 | + | 0.0576445i | ||||
\(689\) | 48.7541 | − | 4.02166i | 1.85738 | − | 0.153213i | ||||
\(690\) | −0.304960 | − | 0.730733i | −0.0116096 | − | 0.0278185i | ||||
\(691\) | 20.7881 | − | 12.0020i | 0.790816 | − | 0.456578i | −0.0494335 | − | 0.998777i | \(-0.515742\pi\) |
0.840250 | + | 0.542199i | \(0.182408\pi\) | |||||||
\(692\) | −1.03888 | + | 1.79939i | −0.0394922 | + | 0.0684025i | ||||
\(693\) | 18.3672 | − | 18.6561i | 0.697713 | − | 0.708687i | ||||
\(694\) | 1.33195 | 0.0505602 | ||||||||
\(695\) | − | 12.9973i | − | 0.493014i | ||||||
\(696\) | 0.527270 | − | 0.690950i | 0.0199861 | − | 0.0261904i | ||||
\(697\) | 4.61446 | + | 7.99248i | 0.174785 | + | 0.302737i | ||||
\(698\) | −0.306427 | −0.0115984 | ||||||||
\(699\) | −19.4025 | − | 14.8062i | −0.733870 | − | 0.560022i | ||||
\(700\) | −3.29842 | − | 1.89345i | −0.124669 | − | 0.0715656i | ||||
\(701\) | − | 21.5626i | − | 0.814410i | −0.913337 | − | 0.407205i | \(-0.866504\pi\) | ||
0.913337 | − | 0.407205i | \(-0.133496\pi\) | |||||||
\(702\) | −0.902104 | − | 0.281442i | −0.0340477 | − | 0.0106224i | ||||
\(703\) | −22.6107 | + | 13.0543i | −0.852778 | + | 0.492352i | ||||
\(704\) | 26.1860i | 0.986923i | ||||||||
\(705\) | 6.89793 | + | 16.5285i | 0.259791 | + | 0.622501i | ||||
\(706\) | −1.10159 | + | 0.636003i | −0.0414589 | + | 0.0239363i | ||||
\(707\) | 35.3395 | + | 20.2866i | 1.32908 | + | 0.762954i | ||||
\(708\) | −3.77817 | − | 9.05310i | −0.141992 | − | 0.340236i | ||||
\(709\) | −15.5353 | −0.583439 | −0.291719 | − | 0.956504i | \(-0.594227\pi\) | ||||
−0.291719 | + | 0.956504i | \(0.594227\pi\) | |||||||
\(710\) | 0.358281 | + | 0.620560i | 0.0134460 | + | 0.0232892i | ||||
\(711\) | 9.81180 | − | 9.91678i | 0.367971 | − | 0.371908i | ||||
\(712\) | 0.889654 | − | 0.513642i | 0.0333412 | − | 0.0192495i | ||||
\(713\) | 9.64781 | − | 16.7105i | 0.361313 | − | 0.625813i | ||||
\(714\) | −0.887514 | + | 1.16903i | −0.0332144 | + | 0.0437498i | ||||
\(715\) | −16.1978 | − | 23.3790i | −0.605764 | − | 0.874326i | ||||
\(716\) | 5.42577 | + | 3.13257i | 0.202771 | + | 0.117070i | ||||
\(717\) | 5.31189 | − | 41.1945i | 0.198376 | − | 1.53844i | ||||
\(718\) | −0.698119 | −0.0260536 | ||||||||
\(719\) | 24.0466 | 0.896789 | 0.448394 | − | 0.893836i | \(-0.351996\pi\) | ||||
0.448394 | + | 0.893836i | \(0.351996\pi\) | |||||||
\(720\) | 27.6543 | + | 7.25246i | 1.03062 | + | 0.270283i | ||||
\(721\) | 12.8176 | + | 22.0741i | 0.477353 | + | 0.822082i | ||||
\(722\) | 0.251957 | − | 0.145467i | 0.00937686 | − | 0.00541373i | ||||
\(723\) | −21.4431 | − | 16.3634i | −0.797479 | − | 0.608563i | ||||
\(724\) | 36.1057 | + | 20.8456i | 1.34186 | + | 0.774722i | ||||
\(725\) | − | 1.79105i | − | 0.0665180i | ||||||
\(726\) | −0.00971983 | + | 0.00405641i | −0.000360737 | + | 0.000150548i | ||||
\(727\) | − | 14.4681i | − | 0.536592i | −0.963337 | − | 0.268296i | \(-0.913539\pi\) | ||
0.963337 | − | 0.268296i | \(-0.0864605\pi\) | |||||||
\(728\) | −1.57832 | + | 1.09932i | −0.0584964 | + | 0.0407435i | ||||
\(729\) | 19.3942 | + | 18.7847i | 0.718304 | + | 0.695729i | ||||
\(730\) | −0.334067 | − | 0.578622i | −0.0123644 | − | 0.0214157i | ||||
\(731\) | 2.78223 | 0.102904 | ||||||||
\(732\) | −7.83538 | − | 5.97924i | −0.289604 | − | 0.220999i | ||||
\(733\) | 33.3177 | + | 19.2360i | 1.23062 | + | 0.710496i | 0.967158 | − | 0.254175i | \(-0.0818038\pi\) |
0.263457 | + | 0.964671i | \(0.415137\pi\) | |||||||
\(734\) | 0.499751 | + | 0.865595i | 0.0184462 | + | 0.0319497i | ||||
\(735\) | −28.7763 | − | 3.56553i | −1.06143 | − | 0.131517i | ||||
\(736\) | 2.28993 | 0.0844080 | ||||||||
\(737\) | 4.74652i | 0.174840i | ||||||||
\(738\) | −0.0557894 | + | 0.212731i | −0.00205364 | + | 0.00783072i | ||||
\(739\) | 6.01527 | 0.221275 | 0.110638 | − | 0.993861i | \(-0.464711\pi\) | ||||
0.110638 | + | 0.993861i | \(0.464711\pi\) | |||||||
\(740\) | −12.5306 | + | 21.7036i | −0.460633 | + | 0.797839i | ||||
\(741\) | 16.7595 | − | 26.1739i | 0.615675 | − | 0.961521i | ||||
\(742\) | 1.56581 | − | 0.909211i | 0.0574829 | − | 0.0333782i | ||||
\(743\) | −27.6154 | − | 15.9438i | −1.01311 | − | 0.584920i | −0.101010 | − | 0.994885i | \(-0.532208\pi\) |
−0.912101 | + | 0.409965i | \(0.865541\pi\) | |||||||
\(744\) | −0.684840 | − | 1.64099i | −0.0251075 | − | 0.0601615i | ||||
\(745\) | −7.69664 | − | 4.44366i | −0.281983 | − | 0.162803i | ||||
\(746\) | 0.767334 | − | 0.443021i | 0.0280941 | − | 0.0162201i | ||||
\(747\) | −47.2178 | − | 12.3831i | −1.72761 | − | 0.453072i | ||||
\(748\) | 36.2312 | − | 20.9181i | 1.32474 | − | 0.764841i | ||||
\(749\) | −42.3304 | + | 0.105029i | −1.54672 | + | 0.00383767i | ||||
\(750\) | 0.825337 | − | 0.344441i | 0.0301371 | − | 0.0125772i | ||||
\(751\) | 5.17581 | + | 8.96476i | 0.188868 | + | 0.327129i | 0.944873 | − | 0.327437i | \(-0.106185\pi\) |
−0.756005 | + | 0.654566i | \(0.772852\pi\) | |||||||
\(752\) | −17.2288 | −0.628268 | ||||||||
\(753\) | 7.77398 | + | 18.6277i | 0.283300 | + | 0.678832i | ||||
\(754\) | −0.409249 | − | 0.193315i | −0.0149040 | − | 0.00704011i | ||||
\(755\) | −46.1560 | −1.67979 | ||||||||
\(756\) | 27.1866 | − | 3.86897i | 0.988766 | − | 0.140713i | ||||
\(757\) | 2.99136 | − | 5.18119i | 0.108723 | − | 0.188313i | −0.806530 | − | 0.591193i | \(-0.798657\pi\) |
0.915253 | + | 0.402879i | \(0.131991\pi\) | |||||||
\(758\) | 0.932419i | 0.0338670i | ||||||||
\(759\) | 8.33851 | + | 19.9804i | 0.302669 | + | 0.725243i | ||||
\(760\) | 1.19993 | − | 2.07834i | 0.0435261 | − | 0.0753894i | ||||
\(761\) | −1.91278 | −0.0693382 | −0.0346691 | − | 0.999399i | \(-0.511038\pi\) | ||||
−0.0346691 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(762\) | −0.0526247 | + | 0.408112i | −0.00190639 | + | 0.0147843i | ||||
\(763\) | 0.0176046 | + | 7.09530i | 0.000637329 | + | 0.256867i | ||||
\(764\) | 41.9790 | + | 24.2366i | 1.51875 | + | 0.876849i | ||||
\(765\) | −12.0256 | − | 43.9436i | −0.434788 | − | 1.58878i | ||||
\(766\) | −0.138260 | + | 0.0798247i | −0.00499555 | + | 0.00288418i | ||||
\(767\) | −8.40355 | + | 5.82227i | −0.303434 | + | 0.210230i | ||||
\(768\) | −16.5985 | + | 21.7511i | −0.598946 | + | 0.784877i | ||||
\(769\) | −3.32745 | − | 1.92110i | −0.119991 | − | 0.0692768i | 0.438803 | − | 0.898583i | \(-0.355402\pi\) |
−0.558794 | + | 0.829306i | \(0.688736\pi\) | |||||||
\(770\) | −0.912980 | − | 0.524093i | −0.0329015 | − | 0.0188870i | ||||
\(771\) | 0.0113649 | + | 0.0272322i | 0.000409298 | + | 0.000980745i | ||||
\(772\) | −1.54681 | + | 2.67916i | −0.0556710 | + | 0.0964250i | ||||
\(773\) | −19.2265 | + | 33.3012i | −0.691528 | + | 1.19776i | 0.279809 | + | 0.960056i | \(0.409729\pi\) |
−0.971337 | + | 0.237707i | \(0.923604\pi\) | |||||||
\(774\) | 0.0471301 | + | 0.0466312i | 0.00169406 | + | 0.00167612i | ||||
\(775\) | −3.17331 | − | 1.83211i | −0.113989 | − | 0.0658115i | ||||
\(776\) | 1.28694 | + | 2.22905i | 0.0461985 | + | 0.0800182i | ||||
\(777\) | −3.01535 | + | 23.8509i | −0.108175 | + | 0.855646i | ||||
\(778\) | 0.396281 | − | 0.686379i | 0.0142074 | − | 0.0246079i | ||||
\(779\) | −6.26405 | − | 3.61655i | −0.224433 | − | 0.129576i | ||||
\(780\) | 1.36994 | − | 29.8014i | 0.0490519 | − | 1.06706i | ||||
\(781\) | −9.79645 | − | 16.9680i | −0.350545 | − | 0.607161i | ||||
\(782\) | −0.606903 | − | 1.05119i | −0.0217028 | − | 0.0375904i | ||||
\(783\) | 7.95405 | + | 10.1964i | 0.284255 | + | 0.364388i | ||||
\(784\) | 13.8266 | − | 24.2251i | 0.493805 | − | 0.865183i | ||||
\(785\) | − | 15.8958i | − | 0.567346i | ||||||
\(786\) | 0.181838 | − | 1.41018i | 0.00648593 | − | 0.0502993i | ||||
\(787\) | 26.8523 | + | 15.5032i | 0.957182 | + | 0.552629i | 0.895305 | − | 0.445454i | \(-0.146958\pi\) |
0.0618775 | + | 0.998084i | \(0.480291\pi\) | |||||||
\(788\) | 36.4326 | − | 21.0344i | 1.29786 | − | 0.749318i | ||||
\(789\) | 2.44534 | − | 18.9640i | 0.0870566 | − | 0.675136i | ||||
\(790\) | −0.485796 | − | 0.280475i | −0.0172839 | − | 0.00997884i | ||||
\(791\) | 4.85800 | − | 0.0120535i | 0.172731 | − | 0.000428573i | ||||
\(792\) | 1.92991 | + | 0.506127i | 0.0685764 | + | 0.0179844i | ||||
\(793\) | −4.38718 | + | 9.28767i | −0.155793 | + | 0.329815i | ||||
\(794\) | −0.437844 | − | 0.758369i | −0.0155385 | − | 0.0269135i | ||||
\(795\) | −7.18765 | + | 55.7413i | −0.254920 | + | 1.97694i | ||||
\(796\) | −34.7055 | + | 20.0372i | −1.23010 | + | 0.710201i | ||||
\(797\) | −18.5488 | − | 32.1274i | −0.657032 | − | 1.13801i | −0.981380 | − | 0.192075i | \(-0.938478\pi\) |
0.324348 | − | 0.945938i | \(-0.394855\pi\) | |||||||
\(798\) | 0.144284 | − | 1.14126i | 0.00510759 | − | 0.0404001i | ||||
\(799\) | 13.7276 | + | 23.7769i | 0.485648 | + | 0.841168i | ||||
\(800\) | − | 0.434857i | − | 0.0153745i | ||||||
\(801\) | 4.03446 | + | 14.7426i | 0.142551 | + | 0.520903i | ||||
\(802\) | 0.174690 | − | 0.302572i | 0.00616852 | − | 0.0106842i | ||||
\(803\) | 9.13439 | + | 15.8212i | 0.322346 | + | 0.558319i | ||||
\(804\) | −3.02028 | + | 3.95786i | −0.106517 | + | 0.139583i | ||||
\(805\) | 11.9382 | − | 20.7965i | 0.420765 | − | 0.732981i | ||||
\(806\) | −0.761139 | + | 0.527344i | −0.0268100 | + | 0.0185749i | ||||
\(807\) | −15.7808 | + | 20.6796i | −0.555510 | + | 0.727957i | ||||
\(808\) | 3.10540i | 0.109248i | ||||||||
\(809\) | 45.6125i | 1.60365i | 0.597558 | + | 0.801826i | \(0.296138\pi\) | ||||
−0.597558 | + | 0.801826i | \(0.703862\pi\) | |||||||
\(810\) | 0.532801 | − | 0.945947i | 0.0187207 | − | 0.0332372i | ||||
\(811\) | − | 20.1525i | − | 0.707651i | −0.935312 | − | 0.353825i | \(-0.884881\pi\) | ||
0.935312 | − | 0.353825i | \(-0.115119\pi\) | |||||||
\(812\) | 13.1524 | − | 0.0326332i | 0.461558 | − | 0.00114520i | ||||
\(813\) | −21.1991 | + | 8.84712i | −0.743486 | + | 0.310282i | ||||
\(814\) | −0.436399 | + | 0.755866i | −0.0152958 | + | 0.0264931i | ||||
\(815\) | −23.1719 | + | 40.1348i | −0.811675 | + | 1.40586i | ||||
\(816\) | 43.4662 | + | 5.60482i | 1.52162 | + | 0.196208i | ||||
\(817\) | −1.88841 | + | 1.09028i | −0.0660672 | + | 0.0381439i | ||||
\(818\) | 0.190683 | 0.00666708 | ||||||||
\(819\) | −9.86428 | − | 26.8644i | −0.344686 | − | 0.938718i | ||||
\(820\) | −6.94292 | −0.242457 | ||||||||
\(821\) | −11.3095 | + | 6.52955i | −0.394705 | + | 0.227883i | −0.684197 | − | 0.729298i | \(-0.739847\pi\) |
0.289492 | + | 0.957180i | \(0.406514\pi\) | |||||||
\(822\) | −0.768983 | − | 0.0991578i | −0.0268214 | − | 0.00345852i | ||||
\(823\) | −0.535412 | + | 0.927361i | −0.0186633 | + | 0.0323258i | −0.875206 | − | 0.483750i | \(-0.839274\pi\) |
0.856543 | + | 0.516076i | \(0.172608\pi\) | |||||||
\(824\) | −0.972643 | + | 1.68467i | −0.0338836 | + | 0.0586882i | ||||
\(825\) | 3.79427 | − | 1.58348i | 0.132099 | − | 0.0551296i | ||||
\(826\) | −0.188384 | + | 0.328169i | −0.00655473 | + | 0.0114185i | ||||
\(827\) | 51.4101i | 1.78771i | 0.448361 | + | 0.893853i | \(0.352008\pi\) | ||||
−0.448361 | + | 0.893853i | \(0.647992\pi\) | |||||||
\(828\) | −5.76079 | + | 21.9665i | −0.200201 | + | 0.763388i | ||||
\(829\) | 13.2472i | 0.460095i | 0.973179 | + | 0.230047i | \(0.0738881\pi\) | ||||
−0.973179 | + | 0.230047i | \(0.926112\pi\) | |||||||
\(830\) | 1.96284i | 0.0681313i | ||||||||
\(831\) | 24.1972 | − | 31.7087i | 0.839391 | − | 1.09996i | ||||
\(832\) | 25.8822 | + | 12.2259i | 0.897305 | + | 0.423856i | ||||
\(833\) | −44.4492 | + | 0.220573i | −1.54007 | + | 0.00764240i | ||||
\(834\) | 0.288029 | − | 0.377442i | 0.00997365 | − | 0.0130698i | ||||
\(835\) | 20.5901 | + | 35.6631i | 0.712551 | + | 1.23417i | ||||
\(836\) | −16.3944 | + | 28.3959i | −0.567012 | + | 0.982094i | ||||
\(837\) | 26.2019 | − | 3.66254i | 0.905671 | − | 0.126596i | ||||
\(838\) | − | 1.27346i | − | 0.0439910i | ||||||
\(839\) | 12.9878 | + | 22.4954i | 0.448387 | + | 0.776629i | 0.998281 | − | 0.0586052i | \(-0.0186653\pi\) |
−0.549894 | + | 0.835234i | \(0.685332\pi\) | |||||||
\(840\) | −0.856137 | − | 2.03721i | −0.0295395 | − | 0.0702903i | ||||
\(841\) | −11.4031 | − | 19.7507i | −0.393210 | − | 0.681060i | ||||
\(842\) | −0.806983 | + | 0.465912i | −0.0278105 | + | 0.0160564i | ||||
\(843\) | 2.46565 | − | 19.1215i | 0.0849215 | − | 0.658579i | ||||
\(844\) | −18.1642 | − | 31.4613i | −0.625237 | − | 1.08294i | ||||
\(845\) | −30.6703 | + | 5.09457i | −1.05509 | + | 0.175258i | ||||
\(846\) | −0.165969 | + | 0.632855i | −0.00570612 | + | 0.0217580i | ||||
\(847\) | −0.276624 | − | 0.158795i | −0.00950492 | − | 0.00545627i | ||||
\(848\) | −46.8212 | − | 27.0322i | −1.60785 | − | 0.928291i | ||||
\(849\) | 4.79444 | − | 37.1816i | 0.164545 | − | 1.27607i | ||||
\(850\) | −0.199620 | + | 0.115251i | −0.00684691 | + | 0.00395306i | ||||
\(851\) | −17.2177 | − | 9.94062i | −0.590214 | − | 0.340760i | ||||
\(852\) | 2.62823 | − | 20.3823i | 0.0900415 | − | 0.698285i | ||||
\(853\) | 15.2119i | 0.520844i | 0.965495 | + | 0.260422i | \(0.0838618\pi\) | ||||
−0.965495 | + | 0.260422i | \(0.916138\pi\) | |||||||
\(854\) | 0.000943294 | 0.380182i | 3.22789e−5 | 0.0130096i | ||||||
\(855\) | 25.3826 | + | 25.1139i | 0.868065 | + | 0.858876i | ||||
\(856\) | −1.61299 | − | 2.79378i | −0.0551308 | − | 0.0954894i | ||||
\(857\) | 6.27506 | + | 10.8687i | 0.214352 | + | 0.371268i | 0.953072 | − | 0.302744i | \(-0.0979028\pi\) |
−0.738720 | + | 0.674012i | \(0.764569\pi\) | |||||||
\(858\) | 0.0477108 | − | 1.03789i | 0.00162882 | − | 0.0354329i | ||||
\(859\) | −0.357975 | − | 0.206677i | −0.0122139 | − | 0.00705172i | 0.493881 | − | 0.869530i | \(-0.335578\pi\) |
−0.506095 | + | 0.862478i | \(0.668911\pi\) | |||||||
\(860\) | −1.04653 | + | 1.81265i | −0.0356865 | + | 0.0618109i | ||||
\(861\) | −6.14006 | + | 2.58036i | −0.209253 | + | 0.0879386i | ||||
\(862\) | −0.774263 | − | 1.34106i | −0.0263715 | − | 0.0456768i | ||||
\(863\) | −14.4497 | − | 8.34256i | −0.491875 | − | 0.283984i | 0.233477 | − | 0.972362i | \(-0.424990\pi\) |
−0.725352 | + | 0.688378i | \(0.758323\pi\) | |||||||
\(864\) | 1.93120 | + | 2.47562i | 0.0657006 | + | 0.0842222i | ||||
\(865\) | −1.24386 | + | 2.15443i | −0.0422926 | + | 0.0732530i | ||||
\(866\) | −0.157419 | + | 0.272657i | −0.00534931 | + | 0.00926527i | ||||
\(867\) | −15.5577 | − | 37.2789i | −0.528369 | − | 1.26606i | ||||
\(868\) | 13.3961 | − | 23.3362i | 0.454693 | − | 0.792083i | ||||
\(869\) | 13.2831 | + | 7.66900i | 0.450598 | + | 0.260153i | ||||
\(870\) | 0.315453 | − | 0.413379i | 0.0106949 | − | 0.0140149i | ||||
\(871\) | 4.69145 | + | 2.21608i | 0.158964 | + | 0.0750890i | ||||
\(872\) | −0.468284 | + | 0.270364i | −0.0158581 | + | 0.00915569i | ||||
\(873\) | −36.9379 | + | 10.1084i | −1.25016 | + | 0.342119i | ||||
\(874\) | 0.823861 | + | 0.475656i | 0.0278675 | + | 0.0160893i | ||||
\(875\) | 23.4889 | + | 13.4837i | 0.794071 | + | 0.455834i | ||||
\(876\) | −2.45061 | + | 19.0048i | −0.0827983 | + | 0.642112i | ||||
\(877\) | −27.0737 | −0.914213 | −0.457107 | − | 0.889412i | \(-0.651114\pi\) | ||||
−0.457107 | + | 0.889412i | \(0.651114\pi\) | |||||||
\(878\) | 0.150062 | − | 0.259915i | 0.00506434 | − | 0.00877170i | ||||
\(879\) | −2.84163 | − | 6.80900i | −0.0958458 | − | 0.229662i | ||||
\(880\) | 31.4332i | 1.05961i | ||||||||
\(881\) | 24.3245 | − | 42.1313i | 0.819513 | − | 1.41944i | −0.0865279 | − | 0.996249i | \(-0.527577\pi\) |
0.906041 | − | 0.423189i | \(-0.139089\pi\) | |||||||
\(882\) | −0.756654 | − | 0.741250i | −0.0254779 | − | 0.0249592i | ||||
\(883\) | 4.94186 | 0.166307 | 0.0831535 | − | 0.996537i | \(-0.473501\pi\) | ||||
0.0831535 | + | 0.996537i | \(0.473501\pi\) | |||||||
\(884\) | −3.75960 | − | 45.5772i | −0.126449 | − | 1.53293i | ||||
\(885\) | −4.52365 | − | 10.8394i | −0.152061 | − | 0.364363i | ||||
\(886\) | −0.382316 | −0.0128441 | ||||||||
\(887\) | −12.1805 | − | 21.0972i | −0.408980 | − | 0.708374i | 0.585796 | − | 0.810459i | \(-0.300782\pi\) |
−0.994776 | + | 0.102085i | \(0.967449\pi\) | |||||||
\(888\) | −1.69079 | + | 0.705625i | −0.0567392 | + | 0.0236792i | ||||
\(889\) | −10.7766 | + | 6.25759i | −0.361436 | + | 0.209873i | ||||
\(890\) | 0.532259 | − | 0.307300i | 0.0178413 | − | 0.0103007i | ||||
\(891\) | −14.5684 | + | 25.8650i | −0.488059 | + | 0.866510i | ||||
\(892\) | −43.3628 | + | 25.0356i | −1.45190 | + | 0.838252i | ||||
\(893\) | −18.6350 | − | 10.7589i | −0.623597 | − | 0.360034i | ||||
\(894\) | −0.125037 | − | 0.299608i | −0.00418185 | − | 0.0100204i | ||||
\(895\) | 6.49635 | + | 3.75067i | 0.217149 | + | 0.125371i | ||||
\(896\) | 4.25685 | − | 0.0105619i | 0.142211 | − | 0.000352849i | ||||
\(897\) | 23.6417 | + | 1.08679i | 0.789375 | + | 0.0362869i | ||||
\(898\) | 0.929412 | − | 1.60979i | 0.0310149 | − | 0.0537193i | ||||
\(899\) | 12.6716 | 0.422622 | ||||||||
\(900\) | 4.17142 | + | 1.09397i | 0.139047 | + | 0.0364657i | ||||
\(901\) | 86.1555i | 2.87026i | ||||||||
\(902\) | −0.241800 | −0.00805105 | ||||||||
\(903\) | −0.251838 | + | 1.99199i | −0.00838063 | + | 0.0662893i | ||||
\(904\) | 0.185113 | + | 0.320625i | 0.00615676 | + | 0.0106638i | ||||
\(905\) | 43.2299 | + | 24.9588i | 1.43701 | + | 0.829658i | ||||
\(906\) | −1.34038 | − | 1.02285i | −0.0445311 | − | 0.0339821i | ||||
\(907\) | −52.9551 | −1.75834 | −0.879172 | − | 0.476504i | \(-0.841904\pi\) | ||||
−0.879172 | + | 0.476504i | \(0.841904\pi\) | |||||||
\(908\) | 5.61331 | + | 9.72254i | 0.186284 | + | 0.322654i | ||||
\(909\) | −44.6929 | − | 11.7209i | −1.48237 | − | 0.388758i | ||||
\(910\) | −0.944270 | + | 0.657697i | −0.0313022 | + | 0.0218024i | ||||
\(911\) | 33.4663i | 1.10879i | 0.832255 | + | 0.554393i | \(0.187050\pi\) | ||||
−0.832255 | + | 0.554393i | \(0.812950\pi\) | |||||||
\(912\) | −31.6987 | + | 13.2289i | −1.04965 | + | 0.438054i | ||||
\(913\) | − | 53.6700i | − | 1.77622i | ||||||
\(914\) | −0.665299 | − | 0.384110i | −0.0220061 | − | 0.0127052i | ||||
\(915\) | −9.38141 | − | 7.15903i | −0.310140 | − | 0.236670i | ||||
\(916\) | 25.3855 | − | 14.6563i | 0.838760 | − | 0.484258i | ||||
\(917\) | 37.2372 | − | 21.6223i | 1.22968 | − | 0.714030i | ||||
\(918\) | 0.624599 | − | 1.54263i | 0.0206148 | − | 0.0509143i | ||||
\(919\) | −6.12065 | −0.201902 | −0.100951 | − | 0.994891i | \(-0.532188\pi\) | ||||
−0.100951 | + | 0.994891i | \(0.532188\pi\) | |||||||
\(920\) | 1.82746 | 0.0602495 | ||||||||
\(921\) | 5.17310 | − | 40.1182i | 0.170460 | − | 1.32194i | ||||
\(922\) | −0.573286 | − | 0.330987i | −0.0188802 | − | 0.0109005i | ||||
\(923\) | −21.3449 | + | 1.76071i | −0.702577 | + | 0.0579546i | ||||
\(924\) | 11.6972 | + | 27.8339i | 0.384810 | + | 0.915668i | ||||
\(925\) | −1.88772 | + | 3.26962i | −0.0620678 | + | 0.107505i | ||||
\(926\) | 0.175552 | − | 0.101355i | 0.00576899 | − | 0.00333073i | ||||
\(927\) | −20.5746 | − | 20.3568i | −0.675760 | − | 0.668606i | ||||
\(928\) | 0.751910 | + | 1.30235i | 0.0246827 | + | 0.0427516i | ||||
\(929\) | 0.976805 | 0.0320479 | 0.0160240 | − | 0.999872i | \(-0.494899\pi\) | ||||
0.0160240 | + | 0.999872i | \(0.494899\pi\) | |||||||
\(930\) | −0.409723 | − | 0.981763i | −0.0134354 | − | 0.0321933i | ||||
\(931\) | 30.0831 | − | 17.5681i | 0.985933 | − | 0.575771i | ||||
\(932\) | 24.3755 | − | 14.0732i | 0.798447 | − | 0.460983i | ||||
\(933\) | −14.5725 | − | 34.9180i | −0.477082 | − | 1.14317i | ||||
\(934\) | 0.325767i | 0.0106594i | ||||||||
\(935\) | 43.3801 | − | 25.0455i | 1.41868 | − | 0.819076i | ||||
\(936\) | 1.40130 | − | 1.67122i | 0.0458030 | − | 0.0546255i | ||||
\(937\) | 42.7404i | 1.39627i | 0.715967 | + | 0.698134i | \(0.245986\pi\) | ||||
−0.715967 | + | 0.698134i | \(0.754014\pi\) | |||||||
\(938\) | 0.192040 | 0.000476483i | 0.00627034 | 1.55577e-5i | ||||||
\(939\) | 17.9126 | + | 13.6693i | 0.584556 | + | 0.446080i | ||||
\(940\) | −20.6546 | −0.673678 | ||||||||
\(941\) | 15.2152 | + | 26.3534i | 0.496000 | + | 0.859097i | 0.999989 | − | 0.00461292i | \(-0.00146834\pi\) |
−0.503990 | + | 0.863710i | \(0.668135\pi\) | |||||||
\(942\) | 0.352264 | − | 0.461617i | 0.0114774 | − | 0.0150403i | ||||
\(943\) | − | 5.50789i | − | 0.179361i | ||||||
\(944\) | 11.2986 | 0.367738 | ||||||||
\(945\) | 32.5508 | − | 4.63237i | 1.05888 | − | 0.150691i | ||||
\(946\) | −0.0364474 | + | 0.0631288i | −0.00118501 | + | 0.00205249i | ||||
\(947\) | −15.3617 | + | 8.86906i | −0.499187 | + | 0.288206i | −0.728378 | − | 0.685176i | \(-0.759725\pi\) |
0.229191 | + | 0.973382i | \(0.426392\pi\) | |||||||
\(948\) | 6.19616 | + | 14.8470i | 0.201242 | + | 0.482208i | ||||
\(949\) | 19.9024 | − | 1.64172i | 0.646059 | − | 0.0532925i | ||||
\(950\) | 0.0903269 | − | 0.156451i | 0.00293059 | − | 0.00507593i | ||||
\(951\) | 29.3042 | + | 22.3623i | 0.950255 | + | 0.725148i | ||||
\(952\) | −1.70101 | − | 2.92943i | −0.0551302 | − | 0.0949435i | ||||
\(953\) | 45.8553 | − | 26.4746i | 1.48540 | − | 0.857595i | 0.485536 | − | 0.874217i | \(-0.338624\pi\) |
0.999862 | + | 0.0166215i | \(0.00529104\pi\) | |||||||
\(954\) | −1.44400 | + | 1.45945i | −0.0467513 | + | 0.0472515i | ||||
\(955\) | 50.2621 | + | 29.0188i | 1.62644 | + | 0.939027i | ||||
\(956\) | 41.4827 | + | 23.9501i | 1.34165 | + | 0.774600i | ||||
\(957\) | −8.62542 | + | 11.3030i | −0.278820 | + | 0.365374i | ||||
\(958\) | 1.05009 | − | 0.606271i | 0.0339269 | − | 0.0195877i | ||||
\(959\) | −11.7908 | − | 20.3058i | −0.380746 | − | 0.655708i | ||||
\(960\) | −19.9503 | + | 26.1434i | −0.643893 | + | 0.843776i | ||||
\(961\) | −2.53786 | + | 4.39571i | −0.0818666 | + | 0.141797i | ||||
\(962\) | 0.543348 | + | 0.784239i | 0.0175183 | + | 0.0252849i | ||||
\(963\) | 46.2961 | − | 12.6694i | 1.49187 | − | 0.408266i | ||||
\(964\) | 26.9392 | − | 15.5534i | 0.867654 | − | 0.500940i | ||||
\(965\) | −1.85202 | + | 3.20779i | −0.0596186 | + | 0.103262i | ||||
\(966\) | 0.807554 | − | 0.339375i | 0.0259826 | − | 0.0109192i | ||||
\(967\) | −33.3275 | −1.07174 | −0.535870 | − | 0.844301i | \(-0.680016\pi\) | ||||
−0.535870 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(968\) | − | 0.0243079i | − | 0.000781284i | ||||||
\(969\) | 43.5139 | + | 33.2058i | 1.39787 | + | 1.06672i | ||||
\(970\) | 0.769947 | + | 1.33359i | 0.0247215 | + | 0.0428189i | ||||
\(971\) | 13.4096 | 0.430335 | 0.215168 | − | 0.976577i | \(-0.430970\pi\) | ||||
0.215168 | + | 0.976577i | \(0.430970\pi\) | |||||||
\(972\) | −28.6060 | + | 12.2973i | −0.917538 | + | 0.394437i | ||||
\(973\) | 14.3785 | − | 0.0356755i | 0.460954 | − | 0.00114370i | ||||
\(974\) | − | 0.561203i | − | 0.0179821i | ||||||
\(975\) | 0.206381 | − | 4.48955i | 0.00660948 | − | 0.143781i | ||||
\(976\) | 9.83110 | − | 5.67599i | 0.314686 | − | 0.181684i | ||||
\(977\) | 40.7054i | 1.30228i | 0.758958 | + | 0.651140i | \(0.225709\pi\) | ||||
−0.758958 | + | 0.651140i | \(0.774291\pi\) | |||||||
\(978\) | −1.56233 | + | 0.652016i | −0.0499579 | + | 0.0208492i | ||||
\(979\) | −14.5535 | + | 8.40248i | −0.465133 | + | 0.268544i | ||||
\(980\) | 16.5759 | − | 29.0421i | 0.529497 | − | 0.927716i | ||||
\(981\) | −2.12361 | − | 7.76000i | −0.0678016 | − | 0.247758i | ||||
\(982\) | −0.0347160 | −0.00110783 | ||||||||
\(983\) | −20.4652 | − | 35.4467i | −0.652737 | − | 1.13057i | −0.982456 | − | 0.186495i | \(-0.940287\pi\) |
0.329719 | − | 0.944079i | \(-0.393046\pi\) | |||||||
\(984\) | −0.403504 | − | 0.307917i | −0.0128632 | − | 0.00981603i | ||||
\(985\) | 43.6212 | − | 25.1847i | 1.38989 | − | 0.802452i | ||||
\(986\) | 0.398559 | − | 0.690325i | 0.0126927 | − | 0.0219844i | ||||
\(987\) | −18.2662 | + | 7.67636i | −0.581418 | + | 0.244341i | ||||
\(988\) | 20.4122 | + | 29.4619i | 0.649399 | + | 0.937307i | ||||
\(989\) | −1.43799 | − | 0.830226i | −0.0457255 | − | 0.0263997i | ||||
\(990\) | 1.15462 | + | 0.302804i | 0.0366962 | + | 0.00962373i | ||||
\(991\) | −27.6801 | −0.879288 | −0.439644 | − | 0.898172i | \(-0.644895\pi\) | ||||
−0.439644 | + | 0.898172i | \(0.644895\pi\) | |||||||
\(992\) | 3.07659 | 0.0976820 | ||||||||
\(993\) | −11.6653 | − | 1.50420i | −0.370188 | − | 0.0477345i | ||||
\(994\) | −0.685526 | + | 0.398060i | −0.0217436 | + | 0.0126257i | ||||
\(995\) | −41.5534 | + | 23.9909i | −1.31733 | + | 0.760562i | ||||
\(996\) | 34.1510 | − | 44.7524i | 1.08211 | − | 1.41804i | ||||
\(997\) | −28.4639 | − | 16.4337i | −0.901461 | − | 0.520459i | −0.0237874 | − | 0.999717i | \(-0.507572\pi\) |
−0.877674 | + | 0.479258i | \(0.840906\pi\) | |||||||
\(998\) | 0.792790i | 0.0250953i | ||||||||
\(999\) | −3.77370 | − | 26.9972i | −0.119395 | − | 0.854152i |
(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 | 273.2.bf.b.152.16 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.152.17 | yes | 64 | |
7.3 | odd | 6 | 273.2.r.b.269.16 | yes | 64 | ||
13.3 | even | 3 | 273.2.r.b.68.16 | ✓ | 64 | ||
21.17 | even | 6 | 273.2.r.b.269.17 | yes | 64 | ||
39.29 | odd | 6 | 273.2.r.b.68.17 | yes | 64 | ||
91.3 | odd | 6 | inner | 273.2.bf.b.185.17 | yes | 64 | |
273.185 | even | 6 | inner | 273.2.bf.b.185.16 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.16 | ✓ | 64 | 13.3 | even | 3 | ||
273.2.r.b.68.17 | yes | 64 | 39.29 | odd | 6 | ||
273.2.r.b.269.16 | yes | 64 | 7.3 | odd | 6 | ||
273.2.r.b.269.17 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.152.16 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.17 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.16 | yes | 64 | 273.185 | even | 6 | inner | |
273.2.bf.b.185.17 | yes | 64 | 91.3 | odd | 6 | inner |