Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(66,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.66");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.k (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 66.1 | ||
Character | \(\chi\) | \(=\) | 403.66 |
Dual form | 403.2.k.e.287.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.831221 | − | 2.55823i | −0.587762 | − | 1.80895i | −0.587884 | − | 0.808945i | \(-0.700039\pi\) |
0.000122172 | − | 1.00000i | \(-0.499961\pi\) | |||||||
\(3\) | −0.796905 | + | 2.45262i | −0.460093 | + | 1.41602i | 0.404956 | + | 0.914336i | \(0.367287\pi\) |
−0.865050 | + | 0.501686i | \(0.832713\pi\) | |||||||
\(4\) | −4.23560 | + | 3.07735i | −2.11780 | + | 1.53867i | ||||
\(5\) | −0.866460 | −0.387493 | −0.193746 | − | 0.981052i | \(-0.562064\pi\) | ||||
−0.193746 | + | 0.981052i | \(0.562064\pi\) | |||||||
\(6\) | 6.93679 | 2.83193 | ||||||||
\(7\) | 1.08832 | − | 0.790714i | 0.411348 | − | 0.298862i | −0.362799 | − | 0.931867i | \(-0.618179\pi\) |
0.774147 | + | 0.633005i | \(0.218179\pi\) | |||||||
\(8\) | 7.04097 | + | 5.11556i | 2.48936 | + | 1.80862i | ||||
\(9\) | −2.95324 | − | 2.14566i | −0.984415 | − | 0.715219i | ||||
\(10\) | 0.720220 | + | 2.21661i | 0.227753 | + | 0.700953i | ||||
\(11\) | −0.806312 | + | 0.585820i | −0.243112 | + | 0.176631i | −0.702669 | − | 0.711517i | \(-0.748008\pi\) |
0.459557 | + | 0.888149i | \(0.348008\pi\) | |||||||
\(12\) | −4.17219 | − | 12.8407i | −1.20441 | − | 3.70679i | ||||
\(13\) | 0.309017 | − | 0.951057i | 0.0857059 | − | 0.263776i | ||||
\(14\) | −2.92747 | − | 2.12693i | −0.782400 | − | 0.568447i | ||||
\(15\) | 0.690486 | − | 2.12510i | 0.178283 | − | 0.548698i | ||||
\(16\) | 3.99850 | − | 12.3061i | 0.999624 | − | 3.07653i | ||||
\(17\) | −4.93920 | − | 3.58854i | −1.19793 | − | 0.870348i | −0.203852 | − | 0.979002i | \(-0.565346\pi\) |
−0.994080 | + | 0.108654i | \(0.965346\pi\) | |||||||
\(18\) | −3.03430 | + | 9.33861i | −0.715191 | + | 2.20113i | ||||
\(19\) | −0.793078 | − | 2.44084i | −0.181945 | − | 0.559968i | 0.817938 | − | 0.575307i | \(-0.195117\pi\) |
−0.999882 | + | 0.0153389i | \(0.995117\pi\) | |||||||
\(20\) | 3.66998 | − | 2.66640i | 0.820633 | − | 0.596224i | ||||
\(21\) | 1.07203 | + | 3.29937i | 0.233936 | + | 0.719982i | ||||
\(22\) | 2.16889 | + | 1.57579i | 0.462408 | + | 0.335959i | ||||
\(23\) | 0.357550 | + | 0.259775i | 0.0745543 | + | 0.0541668i | 0.624438 | − | 0.781074i | \(-0.285328\pi\) |
−0.549884 | + | 0.835241i | \(0.685328\pi\) | |||||||
\(24\) | −18.1575 | + | 13.1922i | −3.70639 | + | 2.69285i | ||||
\(25\) | −4.24925 | −0.849849 | ||||||||
\(26\) | −2.68989 | −0.527530 | ||||||||
\(27\) | 1.35697 | − | 0.985896i | 0.261149 | − | 0.189736i | ||||
\(28\) | −2.17641 | + | 6.69830i | −0.411303 | + | 1.26586i | ||||
\(29\) | −2.71553 | − | 8.35753i | −0.504260 | − | 1.55195i | −0.802011 | − | 0.597310i | \(-0.796236\pi\) |
0.297750 | − | 0.954644i | \(-0.403764\pi\) | |||||||
\(30\) | −6.01045 | −1.09735 | ||||||||
\(31\) | −0.833293 | + | 5.50505i | −0.149664 | + | 0.988737i | ||||
\(32\) | −17.3993 | −3.07579 | ||||||||
\(33\) | −0.794240 | − | 2.44442i | −0.138259 | − | 0.425519i | ||||
\(34\) | −5.07476 | + | 15.6185i | −0.870314 | + | 2.67855i | ||||
\(35\) | −0.942990 | + | 0.685122i | −0.159394 | + | 0.115807i | ||||
\(36\) | 19.1117 | 3.18528 | ||||||||
\(37\) | 2.91856 | 0.479809 | 0.239904 | − | 0.970797i | \(-0.422884\pi\) | ||||
0.239904 | + | 0.970797i | \(0.422884\pi\) | |||||||
\(38\) | −5.58503 | + | 4.05776i | −0.906011 | + | 0.658255i | ||||
\(39\) | 2.08632 | + | 1.51580i | 0.334079 | + | 0.242723i | ||||
\(40\) | −6.10071 | − | 4.43243i | −0.964608 | − | 0.700829i | ||||
\(41\) | −3.33326 | − | 10.2587i | −0.520567 | − | 1.60214i | −0.772918 | − | 0.634505i | \(-0.781204\pi\) |
0.252351 | − | 0.967636i | \(-0.418796\pi\) | |||||||
\(42\) | 7.54948 | − | 5.48502i | 1.16491 | − | 0.846356i | ||||
\(43\) | −2.49495 | − | 7.67867i | −0.380476 | − | 1.17099i | −0.939709 | − | 0.341975i | \(-0.888904\pi\) |
0.559233 | − | 0.829011i | \(-0.311096\pi\) | |||||||
\(44\) | 1.61245 | − | 4.96260i | 0.243085 | − | 0.748140i | ||||
\(45\) | 2.55887 | + | 1.85913i | 0.381454 | + | 0.277142i | ||||
\(46\) | 0.367363 | − | 1.13063i | 0.0541647 | − | 0.166702i | ||||
\(47\) | 2.69197 | − | 8.28503i | 0.392664 | − | 1.20850i | −0.538102 | − | 0.842880i | \(-0.680858\pi\) |
0.930766 | − | 0.365616i | \(-0.119142\pi\) | |||||||
\(48\) | 26.9958 | + | 19.6136i | 3.89651 | + | 2.83098i | ||||
\(49\) | −1.60390 | + | 4.93629i | −0.229128 | + | 0.705184i | ||||
\(50\) | 3.53206 | + | 10.8706i | 0.499509 | + | 1.53733i | ||||
\(51\) | 12.7374 | − | 9.25426i | 1.78359 | − | 1.29586i | ||||
\(52\) | 1.61786 | + | 4.97925i | 0.224356 | + | 0.690498i | ||||
\(53\) | 6.09781 | + | 4.43032i | 0.837599 | + | 0.608551i | 0.921699 | − | 0.387906i | \(-0.126802\pi\) |
−0.0841000 | + | 0.996457i | \(0.526802\pi\) | |||||||
\(54\) | −3.65009 | − | 2.65195i | −0.496715 | − | 0.360885i | ||||
\(55\) | 0.698637 | − | 0.507589i | 0.0942042 | − | 0.0684433i | ||||
\(56\) | 11.7078 | 1.56452 | ||||||||
\(57\) | 6.61847 | 0.876638 | ||||||||
\(58\) | −19.1233 | + | 13.8939i | −2.51101 | + | 1.82436i | ||||
\(59\) | 0.0998181 | − | 0.307209i | 0.0129952 | − | 0.0399952i | −0.944349 | − | 0.328946i | \(-0.893307\pi\) |
0.957344 | + | 0.288951i | \(0.0933065\pi\) | |||||||
\(60\) | 3.61504 | + | 11.1259i | 0.466699 | + | 1.43635i | ||||
\(61\) | 4.77967 | 0.611974 | 0.305987 | − | 0.952036i | \(-0.401014\pi\) | ||||
0.305987 | + | 0.952036i | \(0.401014\pi\) | |||||||
\(62\) | 14.7759 | − | 2.44416i | 1.87654 | − | 0.310408i | ||||
\(63\) | −4.91069 | −0.618689 | ||||||||
\(64\) | 6.46568 | + | 19.8993i | 0.808210 | + | 2.48742i | ||||
\(65\) | −0.267751 | + | 0.824052i | −0.0332104 | + | 0.102211i | ||||
\(66\) | −5.59321 | + | 4.06371i | −0.688477 | + | 0.500208i | ||||
\(67\) | −3.10226 | −0.379002 | −0.189501 | − | 0.981881i | \(-0.560687\pi\) | ||||
−0.189501 | + | 0.981881i | \(0.560687\pi\) | |||||||
\(68\) | 31.9636 | 3.87616 | ||||||||
\(69\) | −0.922063 | + | 0.669918i | −0.111003 | + | 0.0806487i | ||||
\(70\) | 2.53654 | + | 1.84290i | 0.303174 | + | 0.220269i | ||||
\(71\) | −8.58190 | − | 6.23511i | −1.01848 | − | 0.739972i | −0.0525122 | − | 0.998620i | \(-0.516723\pi\) |
−0.965971 | + | 0.258649i | \(0.916723\pi\) | |||||||
\(72\) | −9.81745 | − | 30.2150i | −1.15700 | − | 3.56087i | ||||
\(73\) | −9.25387 | + | 6.72333i | −1.08308 | + | 0.786906i | −0.978218 | − | 0.207580i | \(-0.933441\pi\) |
−0.104866 | + | 0.994486i | \(0.533441\pi\) | |||||||
\(74\) | −2.42597 | − | 7.46637i | −0.282013 | − | 0.867948i | ||||
\(75\) | 3.38625 | − | 10.4218i | 0.391010 | − | 1.20341i | ||||
\(76\) | 10.8705 | + | 7.89787i | 1.24693 | + | 0.905947i | ||||
\(77\) | −0.414313 | + | 1.27512i | −0.0472154 | + | 0.145314i | ||||
\(78\) | 2.14358 | − | 6.59728i | 0.242713 | − | 0.746994i | ||||
\(79\) | 5.44156 | + | 3.95353i | 0.612224 | + | 0.444807i | 0.850197 | − | 0.526465i | \(-0.176483\pi\) |
−0.237973 | + | 0.971272i | \(0.576483\pi\) | |||||||
\(80\) | −3.46454 | + | 10.6627i | −0.387347 | + | 1.19213i | ||||
\(81\) | −2.04746 | − | 6.30144i | −0.227496 | − | 0.700160i | ||||
\(82\) | −23.4735 | + | 17.0545i | −2.59222 | + | 1.88335i | ||||
\(83\) | 0.611921 | + | 1.88330i | 0.0671670 | + | 0.206719i | 0.979007 | − | 0.203827i | \(-0.0653381\pi\) |
−0.911840 | + | 0.410546i | \(0.865338\pi\) | |||||||
\(84\) | −14.6940 | − | 10.6758i | −1.60325 | − | 1.16483i | ||||
\(85\) | 4.27962 | + | 3.10932i | 0.464190 | + | 0.337253i | ||||
\(86\) | −17.5700 | + | 12.7653i | −1.89462 | + | 1.37652i | ||||
\(87\) | 22.6619 | 2.42961 | ||||||||
\(88\) | −8.67401 | −0.924652 | ||||||||
\(89\) | 2.96544 | − | 2.15452i | 0.314336 | − | 0.228379i | −0.419419 | − | 0.907793i | \(-0.637766\pi\) |
0.733755 | + | 0.679414i | \(0.237766\pi\) | |||||||
\(90\) | 2.62910 | − | 8.09153i | 0.277131 | − | 0.852922i | ||||
\(91\) | −0.415703 | − | 1.27940i | −0.0435775 | − | 0.134118i | ||||
\(92\) | −2.31386 | −0.241236 | ||||||||
\(93\) | −12.8378 | − | 6.43076i | −1.33121 | − | 0.666839i | ||||
\(94\) | −23.4327 | −2.41690 | ||||||||
\(95\) | 0.687170 | + | 2.11489i | 0.0705022 | + | 0.216983i | ||||
\(96\) | 13.8656 | − | 42.6739i | 1.41515 | − | 4.35539i | ||||
\(97\) | 4.50908 | − | 3.27604i | 0.457828 | − | 0.332632i | −0.334851 | − | 0.942271i | \(-0.608686\pi\) |
0.792679 | + | 0.609640i | \(0.208686\pi\) | |||||||
\(98\) | 13.9614 | 1.41031 | ||||||||
\(99\) | 3.63820 | 0.365653 | ||||||||
\(100\) | 17.9981 | − | 13.0764i | 1.79981 | − | 1.30764i | ||||
\(101\) | −12.5186 | − | 9.09532i | −1.24565 | − | 0.905018i | −0.247689 | − | 0.968840i | \(-0.579671\pi\) |
−0.997961 | + | 0.0638219i | \(0.979671\pi\) | |||||||
\(102\) | −34.2622 | − | 24.8929i | −3.39246 | − | 2.46477i | ||||
\(103\) | 0.0884967 | + | 0.272365i | 0.00871984 | + | 0.0268369i | 0.955322 | − | 0.295568i | \(-0.0955088\pi\) |
−0.946602 | + | 0.322405i | \(0.895509\pi\) | |||||||
\(104\) | 7.04097 | − | 5.11556i | 0.690424 | − | 0.501622i | ||||
\(105\) | −0.928872 | − | 2.85878i | −0.0906487 | − | 0.278988i | ||||
\(106\) | 6.26517 | − | 19.2822i | 0.608527 | − | 1.87285i | ||||
\(107\) | 6.43819 | + | 4.67762i | 0.622403 | + | 0.452202i | 0.853760 | − | 0.520667i | \(-0.174317\pi\) |
−0.231357 | + | 0.972869i | \(0.574317\pi\) | |||||||
\(108\) | −2.71364 | + | 8.35173i | −0.261120 | + | 0.803645i | ||||
\(109\) | −5.48692 | + | 16.8870i | −0.525552 | + | 1.61748i | 0.237670 | + | 0.971346i | \(0.423616\pi\) |
−0.763222 | + | 0.646136i | \(0.776384\pi\) | |||||||
\(110\) | −1.87925 | − | 1.36536i | −0.179180 | − | 0.130182i | ||||
\(111\) | −2.32582 | + | 7.15813i | −0.220757 | + | 0.679420i | ||||
\(112\) | −5.37895 | − | 16.5547i | −0.508263 | − | 1.56427i | ||||
\(113\) | −17.1550 | + | 12.4639i | −1.61381 | + | 1.17250i | −0.764465 | + | 0.644665i | \(0.776997\pi\) |
−0.849346 | + | 0.527837i | \(0.823003\pi\) | |||||||
\(114\) | −5.50141 | − | 16.9316i | −0.515254 | − | 1.58579i | ||||
\(115\) | −0.309803 | − | 0.225085i | −0.0288892 | − | 0.0209893i | ||||
\(116\) | 37.2209 | + | 27.0426i | 3.45587 | + | 2.51084i | ||||
\(117\) | −2.95324 | + | 2.14566i | −0.273028 | + | 0.198366i | ||||
\(118\) | −0.868883 | −0.0799871 | ||||||||
\(119\) | −8.21296 | −0.752881 | ||||||||
\(120\) | 15.7328 | − | 11.4305i | 1.43620 | − | 1.04346i | ||||
\(121\) | −3.09223 | + | 9.51692i | −0.281112 | + | 0.865174i | ||||
\(122\) | −3.97296 | − | 12.2275i | −0.359695 | − | 1.10703i | ||||
\(123\) | 27.8170 | 2.50818 | ||||||||
\(124\) | −13.4115 | − | 25.8816i | −1.20438 | − | 2.32423i | ||||
\(125\) | 8.01410 | 0.716803 | ||||||||
\(126\) | 4.08187 | + | 12.5627i | 0.363642 | + | 1.11917i | ||||
\(127\) | −3.57799 | + | 11.0119i | −0.317495 | + | 0.977150i | 0.657220 | + | 0.753699i | \(0.271732\pi\) |
−0.974715 | + | 0.223451i | \(0.928268\pi\) | |||||||
\(128\) | 17.3800 | − | 12.6273i | 1.53619 | − | 1.11611i | ||||
\(129\) | 20.8211 | 1.83320 | ||||||||
\(130\) | 2.33068 | 0.204414 | ||||||||
\(131\) | 3.54130 | − | 2.57291i | 0.309405 | − | 0.224796i | −0.422236 | − | 0.906486i | \(-0.638755\pi\) |
0.731641 | + | 0.681690i | \(0.238755\pi\) | |||||||
\(132\) | 10.8864 | + | 7.90944i | 0.947541 | + | 0.688429i | ||||
\(133\) | −2.79314 | − | 2.02933i | −0.242196 | − | 0.175965i | ||||
\(134\) | 2.57867 | + | 7.93632i | 0.222763 | + | 0.685593i | ||||
\(135\) | −1.17576 | + | 0.854239i | −0.101193 | + | 0.0735212i | ||||
\(136\) | −16.4193 | − | 50.5335i | −1.40795 | − | 4.33321i | ||||
\(137\) | −4.71268 | + | 14.5041i | −0.402631 | + | 1.23917i | 0.520226 | + | 0.854029i | \(0.325848\pi\) |
−0.922857 | + | 0.385143i | \(0.874152\pi\) | |||||||
\(138\) | 2.48025 | + | 1.80200i | 0.211133 | + | 0.153397i | ||||
\(139\) | 4.86798 | − | 14.9821i | 0.412897 | − | 1.27077i | −0.501222 | − | 0.865319i | \(-0.667116\pi\) |
0.914119 | − | 0.405447i | \(-0.132884\pi\) | |||||||
\(140\) | 1.88577 | − | 5.80381i | 0.159377 | − | 0.490512i | ||||
\(141\) | 18.1748 | + | 13.2048i | 1.53059 | + | 1.11204i | ||||
\(142\) | −8.81743 | + | 27.1373i | −0.739942 | + | 2.27731i | ||||
\(143\) | 0.307984 | + | 0.947876i | 0.0257549 | + | 0.0792654i | ||||
\(144\) | −38.2132 | + | 27.7635i | −3.18444 | + | 2.31363i | ||||
\(145\) | 2.35289 | + | 7.24146i | 0.195397 | + | 0.601371i | ||||
\(146\) | 24.8919 | + | 18.0850i | 2.06007 | + | 1.49673i | ||||
\(147\) | −10.8287 | − | 7.86751i | −0.893135 | − | 0.648901i | ||||
\(148\) | −12.3619 | + | 8.98143i | −1.01614 | + | 0.738269i | ||||
\(149\) | 2.19851 | 0.180109 | 0.0900545 | − | 0.995937i | \(-0.471296\pi\) | ||||
0.0900545 | + | 0.995937i | \(0.471296\pi\) | |||||||
\(150\) | −29.4761 | −2.40672 | ||||||||
\(151\) | 12.5305 | − | 9.10391i | 1.01971 | − | 0.740866i | 0.0534903 | − | 0.998568i | \(-0.482965\pi\) |
0.966224 | + | 0.257702i | \(0.0829654\pi\) | |||||||
\(152\) | 6.90225 | − | 21.2429i | 0.559846 | − | 1.72303i | ||||
\(153\) | 6.88689 | + | 21.1957i | 0.556772 | + | 1.71357i | ||||
\(154\) | 3.60645 | 0.290616 | ||||||||
\(155\) | 0.722015 | − | 4.76991i | 0.0579936 | − | 0.383128i | ||||
\(156\) | −13.5015 | −1.08098 | ||||||||
\(157\) | 1.62291 | + | 4.99479i | 0.129522 | + | 0.398628i | 0.994698 | − | 0.102841i | \(-0.0327933\pi\) |
−0.865176 | + | 0.501469i | \(0.832793\pi\) | |||||||
\(158\) | 5.59091 | − | 17.2071i | 0.444789 | − | 1.36892i | ||||
\(159\) | −15.7253 | + | 11.4251i | −1.24710 | + | 0.906068i | ||||
\(160\) | 15.0758 | 1.19185 | ||||||||
\(161\) | 0.594538 | 0.0468562 | ||||||||
\(162\) | −14.4187 | + | 10.4758i | −1.13284 | + | 0.823055i | ||||
\(163\) | −5.62795 | − | 4.08895i | −0.440815 | − | 0.320271i | 0.345144 | − | 0.938550i | \(-0.387830\pi\) |
−0.785959 | + | 0.618279i | \(0.787830\pi\) | |||||||
\(164\) | 45.6879 | + | 33.1942i | 3.56763 | + | 2.59203i | ||||
\(165\) | 0.688177 | + | 2.11799i | 0.0535745 | + | 0.164885i | ||||
\(166\) | 4.30928 | − | 3.13087i | 0.334465 | − | 0.243003i | ||||
\(167\) | 2.38569 | + | 7.34241i | 0.184611 | + | 0.568173i | 0.999941 | − | 0.0108224i | \(-0.00344494\pi\) |
−0.815331 | + | 0.578995i | \(0.803445\pi\) | |||||||
\(168\) | −9.33001 | + | 28.7148i | −0.719826 | + | 2.21540i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | 4.39707 | − | 13.5328i | 0.337240 | − | 1.03792i | ||||
\(171\) | −2.89506 | + | 8.91008i | −0.221391 | + | 0.681371i | ||||
\(172\) | 34.1975 | + | 24.8460i | 2.60754 | + | 1.89449i | ||||
\(173\) | 5.82324 | − | 17.9221i | 0.442733 | − | 1.36259i | −0.442219 | − | 0.896907i | \(-0.645808\pi\) |
0.884951 | − | 0.465684i | \(-0.154192\pi\) | |||||||
\(174\) | −18.8370 | − | 57.9744i | −1.42803 | − | 4.39503i | ||||
\(175\) | −4.62456 | + | 3.35994i | −0.349584 | + | 0.253988i | ||||
\(176\) | 3.98512 | + | 12.2650i | 0.300390 | + | 0.924506i | ||||
\(177\) | 0.673921 | + | 0.489632i | 0.0506550 | + | 0.0368030i | ||||
\(178\) | −7.97670 | − | 5.79541i | −0.597879 | − | 0.434385i | ||||
\(179\) | 20.0231 | − | 14.5477i | 1.49660 | − | 1.08734i | 0.524889 | − | 0.851171i | \(-0.324107\pi\) |
0.971711 | − | 0.236173i | \(-0.0758932\pi\) | |||||||
\(180\) | −16.5595 | −1.23427 | ||||||||
\(181\) | −10.0741 | −0.748802 | −0.374401 | − | 0.927267i | \(-0.622152\pi\) | ||||
−0.374401 | + | 0.927267i | \(0.622152\pi\) | |||||||
\(182\) | −2.92747 | + | 2.12693i | −0.216999 | + | 0.157659i | ||||
\(183\) | −3.80894 | + | 11.7227i | −0.281565 | + | 0.866569i | ||||
\(184\) | 1.18860 | + | 3.65813i | 0.0876248 | + | 0.269681i | ||||
\(185\) | −2.52882 | −0.185922 | ||||||||
\(186\) | −5.78038 | + | 38.1874i | −0.423838 | + | 2.80004i | ||||
\(187\) | 6.08477 | 0.444962 | ||||||||
\(188\) | 14.0938 | + | 43.3762i | 1.02790 | + | 3.16354i | ||||
\(189\) | 0.697262 | − | 2.14595i | 0.0507183 | − | 0.156095i | ||||
\(190\) | 4.83920 | − | 3.51589i | 0.351073 | − | 0.255069i | ||||
\(191\) | −21.3591 | −1.54549 | −0.772747 | − | 0.634715i | \(-0.781118\pi\) | ||||
−0.772747 | + | 0.634715i | \(0.781118\pi\) | |||||||
\(192\) | −53.9580 | −3.89409 | ||||||||
\(193\) | −5.62600 | + | 4.08753i | −0.404969 | + | 0.294227i | −0.771562 | − | 0.636154i | \(-0.780524\pi\) |
0.366593 | + | 0.930381i | \(0.380524\pi\) | |||||||
\(194\) | −12.1289 | − | 8.81218i | −0.870806 | − | 0.632678i | ||||
\(195\) | −1.80772 | − | 1.31338i | −0.129453 | − | 0.0940533i | ||||
\(196\) | −8.39719 | − | 25.8439i | −0.599799 | − | 1.84599i | ||||
\(197\) | −15.2806 | + | 11.1020i | −1.08870 | + | 0.790986i | −0.979179 | − | 0.202999i | \(-0.934931\pi\) |
−0.109519 | + | 0.993985i | \(0.534931\pi\) | |||||||
\(198\) | −3.02415 | − | 9.30738i | −0.214917 | − | 0.661447i | ||||
\(199\) | 7.26049 | − | 22.3455i | 0.514683 | − | 1.58403i | −0.269176 | − | 0.963091i | \(-0.586751\pi\) |
0.783859 | − | 0.620939i | \(-0.213249\pi\) | |||||||
\(200\) | −29.9188 | − | 21.7373i | −2.11558 | − | 1.53706i | ||||
\(201\) | 2.47221 | − | 7.60868i | 0.174376 | − | 0.536675i | ||||
\(202\) | −12.8622 | + | 39.5858i | −0.904982 | + | 2.78525i | ||||
\(203\) | −9.56379 | − | 6.94850i | −0.671246 | − | 0.487689i | ||||
\(204\) | −25.4720 | + | 78.3947i | −1.78340 | + | 5.48873i | ||||
\(205\) | 2.88813 | + | 8.88876i | 0.201716 | + | 0.620818i | ||||
\(206\) | 0.623213 | − | 0.452791i | 0.0434213 | − | 0.0315474i | ||||
\(207\) | −0.498543 | − | 1.53436i | −0.0346512 | − | 0.106645i | ||||
\(208\) | −10.4682 | − | 7.60559i | −0.725839 | − | 0.527353i | ||||
\(209\) | 2.06936 | + | 1.50348i | 0.143141 | + | 0.103998i | ||||
\(210\) | −6.54132 | + | 4.75255i | −0.451394 | + | 0.327957i | ||||
\(211\) | −12.2487 | −0.843235 | −0.421618 | − | 0.906774i | \(-0.638537\pi\) | ||||
−0.421618 | + | 0.906774i | \(0.638537\pi\) | |||||||
\(212\) | −39.4615 | −2.71023 | ||||||||
\(213\) | 22.1313 | − | 16.0794i | 1.51641 | − | 1.10174i | ||||
\(214\) | 6.61489 | − | 20.3585i | 0.452184 | − | 1.39168i | ||||
\(215\) | 2.16177 | + | 6.65326i | 0.147432 | + | 0.453749i | ||||
\(216\) | 14.5978 | 0.993254 | ||||||||
\(217\) | 3.44603 | + | 6.65018i | 0.233932 | + | 0.451444i | ||||
\(218\) | 47.7618 | 3.23484 | ||||||||
\(219\) | −9.11533 | − | 28.0541i | −0.615957 | − | 1.89572i | ||||
\(220\) | −1.39712 | + | 4.29989i | −0.0941938 | + | 0.289899i | ||||
\(221\) | −4.93920 | + | 3.58854i | −0.332246 | + | 0.241391i | ||||
\(222\) | 20.2454 | 1.35879 | ||||||||
\(223\) | 0.654097 | 0.0438016 | 0.0219008 | − | 0.999760i | \(-0.493028\pi\) | ||||
0.0219008 | + | 0.999760i | \(0.493028\pi\) | |||||||
\(224\) | −18.9361 | + | 13.7579i | −1.26522 | + | 0.919238i | ||||
\(225\) | 12.5491 | + | 9.11743i | 0.836605 | + | 0.607829i | ||||
\(226\) | 46.1451 | + | 33.5264i | 3.06953 | + | 2.23014i | ||||
\(227\) | 7.33822 | + | 22.5847i | 0.487055 | + | 1.49900i | 0.828983 | + | 0.559274i | \(0.188920\pi\) |
−0.341928 | + | 0.939726i | \(0.611080\pi\) | |||||||
\(228\) | −28.0332 | + | 20.3673i | −1.85655 | + | 1.34886i | ||||
\(229\) | 0.543390 | + | 1.67238i | 0.0359082 | + | 0.110514i | 0.967404 | − | 0.253238i | \(-0.0814956\pi\) |
−0.931496 | + | 0.363752i | \(0.881496\pi\) | |||||||
\(230\) | −0.318305 | + | 0.979643i | −0.0209884 | + | 0.0645957i | ||||
\(231\) | −2.79723 | − | 2.03231i | −0.184044 | − | 0.133716i | ||||
\(232\) | 23.6335 | − | 72.7365i | 1.55162 | − | 4.77538i | ||||
\(233\) | −2.75217 | + | 8.47030i | −0.180300 | + | 0.554908i | −0.999836 | − | 0.0181209i | \(-0.994232\pi\) |
0.819535 | + | 0.573029i | \(0.194232\pi\) | |||||||
\(234\) | 7.94390 | + | 5.77158i | 0.519309 | + | 0.377300i | ||||
\(235\) | −2.33248 | + | 7.17865i | −0.152154 | + | 0.468283i | ||||
\(236\) | 0.522597 | + | 1.60839i | 0.0340182 | + | 0.104697i | ||||
\(237\) | −14.0329 | + | 10.1955i | −0.911536 | + | 0.662270i | ||||
\(238\) | 6.82678 | + | 21.0107i | 0.442515 | + | 1.36192i | ||||
\(239\) | −7.60809 | − | 5.52760i | −0.492126 | − | 0.357551i | 0.313875 | − | 0.949464i | \(-0.398373\pi\) |
−0.806001 | + | 0.591914i | \(0.798373\pi\) | |||||||
\(240\) | −23.3908 | − | 16.9944i | −1.50987 | − | 1.09698i | ||||
\(241\) | 3.13553 | − | 2.27809i | 0.201977 | − | 0.146745i | −0.482199 | − | 0.876062i | \(-0.660162\pi\) |
0.684176 | + | 0.729317i | \(0.260162\pi\) | |||||||
\(242\) | 26.9168 | 1.73028 | ||||||||
\(243\) | 22.1186 | 1.41891 | ||||||||
\(244\) | −20.2448 | + | 14.7087i | −1.29604 | + | 0.941628i | ||||
\(245\) | 1.38971 | − | 4.27710i | 0.0887855 | − | 0.273254i | ||||
\(246\) | −23.1221 | − | 71.1625i | −1.47421 | − | 4.53715i | ||||
\(247\) | −2.56645 | −0.163300 | ||||||||
\(248\) | −34.0286 | + | 34.4981i | −2.16082 | + | 2.19063i | ||||
\(249\) | −5.10666 | −0.323621 | ||||||||
\(250\) | −6.66149 | − | 20.5020i | −0.421310 | − | 1.29666i | ||||
\(251\) | 6.95841 | − | 21.4158i | 0.439211 | − | 1.35175i | −0.449498 | − | 0.893281i | \(-0.648397\pi\) |
0.888709 | − | 0.458471i | \(-0.151603\pi\) | |||||||
\(252\) | 20.7997 | − | 15.1119i | 1.31026 | − | 0.951960i | ||||
\(253\) | −0.440478 | −0.0276926 | ||||||||
\(254\) | 31.1452 | 1.95422 | ||||||||
\(255\) | −11.0364 | + | 8.01845i | −0.691129 | + | 0.502135i | ||||
\(256\) | −12.8956 | − | 9.36921i | −0.805976 | − | 0.585576i | ||||
\(257\) | −8.82663 | − | 6.41292i | −0.550590 | − | 0.400027i | 0.277413 | − | 0.960751i | \(-0.410523\pi\) |
−0.828003 | + | 0.560724i | \(0.810523\pi\) | |||||||
\(258\) | −17.3069 | − | 53.2653i | −1.07748 | − | 3.31615i | ||||
\(259\) | 3.17635 | − | 2.30775i | 0.197368 | − | 0.143397i | ||||
\(260\) | −1.40181 | − | 4.31432i | −0.0869364 | − | 0.267563i | ||||
\(261\) | −9.91278 | + | 30.5084i | −0.613586 | + | 1.88842i | ||||
\(262\) | −9.52570 | − | 6.92083i | −0.588500 | − | 0.427570i | ||||
\(263\) | −1.37899 | + | 4.24410i | −0.0850324 | + | 0.261703i | −0.984528 | − | 0.175227i | \(-0.943934\pi\) |
0.899496 | + | 0.436930i | \(0.143934\pi\) | |||||||
\(264\) | 6.91236 | − | 21.2741i | 0.425426 | − | 1.30933i | ||||
\(265\) | −5.28351 | − | 3.83869i | −0.324563 | − | 0.235809i | ||||
\(266\) | −2.86979 | + | 8.83232i | −0.175958 | + | 0.541544i | ||||
\(267\) | 2.92104 | + | 8.99005i | 0.178765 | + | 0.550182i | ||||
\(268\) | 13.1400 | − | 9.54674i | 0.802651 | − | 0.583160i | ||||
\(269\) | −4.05612 | − | 12.4834i | −0.247306 | − | 0.761129i | −0.995249 | − | 0.0973659i | \(-0.968958\pi\) |
0.747943 | − | 0.663763i | \(-0.231042\pi\) | |||||||
\(270\) | 3.16266 | + | 2.29781i | 0.192473 | + | 0.139840i | ||||
\(271\) | 15.7234 | + | 11.4237i | 0.955130 | + | 0.693942i | 0.952015 | − | 0.306053i | \(-0.0990084\pi\) |
0.00311511 | + | 0.999995i | \(0.499008\pi\) | |||||||
\(272\) | −63.9103 | + | 46.4335i | −3.87513 | + | 2.81545i | ||||
\(273\) | 3.46917 | 0.209964 | ||||||||
\(274\) | 41.0223 | 2.47825 | ||||||||
\(275\) | 3.42622 | − | 2.48929i | 0.206609 | − | 0.150110i | ||||
\(276\) | 1.84392 | − | 5.67501i | 0.110991 | − | 0.341596i | ||||
\(277\) | −4.30331 | − | 13.2442i | −0.258561 | − | 0.795768i | −0.993107 | − | 0.117209i | \(-0.962605\pi\) |
0.734547 | − | 0.678558i | \(-0.237395\pi\) | |||||||
\(278\) | −42.3741 | −2.54143 | ||||||||
\(279\) | 14.2729 | − | 14.4698i | 0.854495 | − | 0.866285i | ||||
\(280\) | −10.1443 | −0.606241 | ||||||||
\(281\) | 2.19908 | + | 6.76806i | 0.131186 | + | 0.403749i | 0.994977 | − | 0.100101i | \(-0.0319166\pi\) |
−0.863791 | + | 0.503850i | \(0.831917\pi\) | |||||||
\(282\) | 18.6736 | − | 57.4715i | 1.11200 | − | 3.42238i | ||||
\(283\) | 8.99557 | − | 6.53566i | 0.534731 | − | 0.388505i | −0.287394 | − | 0.957813i | \(-0.592789\pi\) |
0.822124 | + | 0.569308i | \(0.192789\pi\) | |||||||
\(284\) | 55.5371 | 3.29552 | ||||||||
\(285\) | −5.73464 | −0.339691 | ||||||||
\(286\) | 2.16889 | − | 1.57579i | 0.128249 | − | 0.0931784i | ||||
\(287\) | −11.7394 | − | 8.52915i | −0.692953 | − | 0.503460i | ||||
\(288\) | 51.3844 | + | 37.3330i | 3.02786 | + | 2.19987i | ||||
\(289\) | 6.26478 | + | 19.2810i | 0.368517 | + | 1.13418i | ||||
\(290\) | 16.5696 | − | 12.0385i | 0.973000 | − | 0.706926i | ||||
\(291\) | 4.44158 | + | 13.6698i | 0.260370 | + | 0.801336i | ||||
\(292\) | 18.5057 | − | 56.9547i | 1.08296 | − | 3.33302i | ||||
\(293\) | 8.81748 | + | 6.40627i | 0.515123 | + | 0.374259i | 0.814763 | − | 0.579794i | \(-0.196867\pi\) |
−0.299641 | + | 0.954052i | \(0.596867\pi\) | |||||||
\(294\) | −11.1259 | + | 34.2420i | −0.648875 | + | 1.99703i | ||||
\(295\) | −0.0864884 | + | 0.266184i | −0.00503555 | + | 0.0154978i | ||||
\(296\) | 20.5495 | + | 14.9301i | 1.19442 | + | 0.867794i | ||||
\(297\) | −0.516583 | + | 1.58988i | −0.0299752 | + | 0.0922541i | ||||
\(298\) | −1.82745 | − | 5.62430i | −0.105861 | − | 0.325807i | ||||
\(299\) | 0.357550 | − | 0.259775i | 0.0206776 | − | 0.0150232i | ||||
\(300\) | 17.7287 | + | 54.5632i | 1.02357 | + | 3.15021i | ||||
\(301\) | −8.78695 | − | 6.38409i | −0.506471 | − | 0.367973i | ||||
\(302\) | −33.7055 | − | 24.4885i | −1.93954 | − | 1.40916i | ||||
\(303\) | 32.2835 | − | 23.4554i | 1.85464 | − | 1.34748i | ||||
\(304\) | −33.2084 | −1.90463 | ||||||||
\(305\) | −4.14139 | −0.237136 | ||||||||
\(306\) | 48.4989 | − | 35.2365i | 2.77250 | − | 2.01434i | ||||
\(307\) | 1.07743 | − | 3.31599i | 0.0614921 | − | 0.189253i | −0.915591 | − | 0.402110i | \(-0.868277\pi\) |
0.977083 | + | 0.212857i | \(0.0682768\pi\) | |||||||
\(308\) | −2.16913 | − | 6.67591i | −0.123598 | − | 0.380395i | ||||
\(309\) | −0.738532 | −0.0420136 | ||||||||
\(310\) | −12.8027 | + | 2.11776i | −0.727145 | + | 0.120281i | ||||
\(311\) | −17.1505 | −0.972515 | −0.486258 | − | 0.873816i | \(-0.661638\pi\) | ||||
−0.486258 | + | 0.873816i | \(0.661638\pi\) | |||||||
\(312\) | 6.93555 | + | 21.3454i | 0.392648 | + | 1.20845i | ||||
\(313\) | −7.63295 | + | 23.4918i | −0.431440 | + | 1.32784i | 0.465251 | + | 0.885179i | \(0.345964\pi\) |
−0.896691 | + | 0.442657i | \(0.854036\pi\) | |||||||
\(314\) | 11.4289 | − | 8.30355i | 0.644967 | − | 0.468596i | ||||
\(315\) | 4.25492 | 0.239737 | ||||||||
\(316\) | −35.2147 | −1.98098 | ||||||||
\(317\) | −2.73068 | + | 1.98396i | −0.153371 | + | 0.111430i | −0.661824 | − | 0.749659i | \(-0.730217\pi\) |
0.508453 | + | 0.861089i | \(0.330217\pi\) | |||||||
\(318\) | 42.2992 | + | 30.7322i | 2.37202 | + | 1.72338i | ||||
\(319\) | 7.08556 | + | 5.14796i | 0.396715 | + | 0.288231i | ||||
\(320\) | −5.60225 | − | 17.2420i | −0.313175 | − | 0.963855i | ||||
\(321\) | −16.6031 | + | 12.0628i | −0.926692 | + | 0.673281i | ||||
\(322\) | −0.494193 | − | 1.52097i | −0.0275403 | − | 0.0847602i | ||||
\(323\) | −4.84189 | + | 14.9018i | −0.269410 | + | 0.829158i | ||||
\(324\) | 28.0640 | + | 20.3897i | 1.55911 | + | 1.13276i | ||||
\(325\) | −1.31309 | + | 4.04127i | −0.0728371 | + | 0.224170i | ||||
\(326\) | −5.78241 | + | 17.7964i | −0.320258 | + | 0.985654i | ||||
\(327\) | −37.0449 | − | 26.9147i | −2.04859 | − | 1.48839i | ||||
\(328\) | 29.0097 | − | 89.2827i | 1.60179 | − | 4.92981i | ||||
\(329\) | −3.62136 | − | 11.1454i | −0.199652 | − | 0.614465i | ||||
\(330\) | 4.84629 | − | 3.52104i | 0.266780 | − | 0.193827i | ||||
\(331\) | 1.23970 | + | 3.81539i | 0.0681398 | + | 0.209713i | 0.979328 | − | 0.202277i | \(-0.0648340\pi\) |
−0.911189 | + | 0.411990i | \(0.864834\pi\) | |||||||
\(332\) | −8.38741 | − | 6.09381i | −0.460319 | − | 0.334441i | ||||
\(333\) | −8.61923 | − | 6.26224i | −0.472331 | − | 0.343169i | ||||
\(334\) | 16.8006 | − | 12.2063i | 0.919287 | − | 0.667901i | ||||
\(335\) | 2.68799 | 0.146860 | ||||||||
\(336\) | 44.8890 | 2.44889 | ||||||||
\(337\) | 26.3317 | − | 19.1311i | 1.43438 | − | 1.04214i | 0.445199 | − | 0.895432i | \(-0.353133\pi\) |
0.989180 | − | 0.146706i | \(-0.0468671\pi\) | |||||||
\(338\) | −0.831221 | + | 2.55823i | −0.0452125 | + | 0.139150i | ||||
\(339\) | −16.8982 | − | 52.0074i | −0.917785 | − | 2.82465i | ||||
\(340\) | −27.6952 | −1.50198 | ||||||||
\(341\) | −2.55308 | − | 4.92695i | −0.138257 | − | 0.266809i | ||||
\(342\) | 25.2005 | 1.36269 | ||||||||
\(343\) | 5.06755 | + | 15.5963i | 0.273622 | + | 0.842123i | ||||
\(344\) | 21.7138 | − | 66.8283i | 1.17073 | − | 3.60314i | ||||
\(345\) | 0.798931 | − | 0.580457i | 0.0430130 | − | 0.0312508i | ||||
\(346\) | −50.6893 | −2.72507 | ||||||||
\(347\) | 4.09449 | 0.219804 | 0.109902 | − | 0.993942i | \(-0.464946\pi\) | ||||
0.109902 | + | 0.993942i | \(0.464946\pi\) | |||||||
\(348\) | −95.9867 | + | 69.7384i | −5.14543 | + | 3.73837i | ||||
\(349\) | −27.8274 | − | 20.2178i | −1.48957 | − | 1.08223i | −0.974313 | − | 0.225198i | \(-0.927697\pi\) |
−0.515255 | − | 0.857037i | \(-0.672303\pi\) | |||||||
\(350\) | 12.4395 | + | 9.03786i | 0.664922 | + | 0.483094i | ||||
\(351\) | −0.518316 | − | 1.59521i | −0.0276657 | − | 0.0851462i | ||||
\(352\) | 14.0293 | − | 10.1929i | 0.747763 | − | 0.543281i | ||||
\(353\) | −1.21596 | − | 3.74235i | −0.0647192 | − | 0.199185i | 0.913468 | − | 0.406911i | \(-0.133394\pi\) |
−0.978187 | + | 0.207725i | \(0.933394\pi\) | |||||||
\(354\) | 0.692417 | − | 2.13104i | 0.0368016 | − | 0.113264i | ||||
\(355\) | 7.43587 | + | 5.40248i | 0.394655 | + | 0.286734i | ||||
\(356\) | −5.93023 | + | 18.2514i | −0.314302 | + | 0.967321i | ||||
\(357\) | 6.54495 | − | 20.1433i | 0.346395 | − | 1.06610i | ||||
\(358\) | −53.8600 | − | 39.1316i | −2.84659 | − | 2.06817i | ||||
\(359\) | −3.42976 | + | 10.5557i | −0.181016 | + | 0.557109i | −0.999857 | − | 0.0169111i | \(-0.994617\pi\) |
0.818841 | + | 0.574020i | \(0.194617\pi\) | |||||||
\(360\) | 8.50643 | + | 26.1801i | 0.448328 | + | 1.37981i | ||||
\(361\) | 10.0426 | − | 7.29636i | 0.528557 | − | 0.384019i | ||||
\(362\) | 8.37380 | + | 25.7719i | 0.440117 | + | 1.35454i | ||||
\(363\) | −20.8772 | − | 15.1682i | −1.09577 | − | 0.796122i | ||||
\(364\) | 5.69792 | + | 4.13978i | 0.298652 | + | 0.216983i | ||||
\(365\) | 8.01811 | − | 5.82550i | 0.419687 | − | 0.304920i | ||||
\(366\) | 33.1556 | 1.73307 | ||||||||
\(367\) | −37.7348 | −1.96974 | −0.984869 | − | 0.173299i | \(-0.944557\pi\) | ||||
−0.984869 | + | 0.173299i | \(0.944557\pi\) | |||||||
\(368\) | 4.62648 | − | 3.36133i | 0.241172 | − | 0.175222i | ||||
\(369\) | −12.1678 | + | 37.4485i | −0.633428 | + | 1.94949i | ||||
\(370\) | 2.10201 | + | 6.46931i | 0.109278 | + | 0.336323i | ||||
\(371\) | 10.1395 | 0.526418 | ||||||||
\(372\) | 74.1653 | − | 12.2681i | 3.84529 | − | 0.636071i | ||||
\(373\) | −15.0425 | −0.778873 | −0.389437 | − | 0.921053i | \(-0.627330\pi\) | ||||
−0.389437 | + | 0.921053i | \(0.627330\pi\) | |||||||
\(374\) | −5.05779 | − | 15.5663i | −0.261532 | − | 0.804912i | ||||
\(375\) | −6.38648 | + | 19.6556i | −0.329796 | + | 1.01501i | ||||
\(376\) | 61.3367 | − | 44.5637i | 3.16320 | − | 2.29820i | ||||
\(377\) | −8.78762 | −0.452586 | ||||||||
\(378\) | −6.06942 | −0.312177 | ||||||||
\(379\) | −19.8957 | + | 14.4551i | −1.02197 | + | 0.742508i | −0.966687 | − | 0.255962i | \(-0.917608\pi\) |
−0.0552881 | + | 0.998470i | \(0.517608\pi\) | |||||||
\(380\) | −9.41883 | − | 6.84318i | −0.483176 | − | 0.351048i | ||||
\(381\) | −24.1567 | − | 17.5509i | −1.23759 | − | 0.899160i | ||||
\(382\) | 17.7542 | + | 54.6417i | 0.908382 | + | 2.79571i | ||||
\(383\) | −7.48884 | + | 5.44096i | −0.382662 | + | 0.278020i | −0.762442 | − | 0.647057i | \(-0.776000\pi\) |
0.379780 | + | 0.925077i | \(0.376000\pi\) | |||||||
\(384\) | 17.1198 | + | 52.6895i | 0.873643 | + | 2.68880i | ||||
\(385\) | 0.358986 | − | 1.10484i | 0.0182956 | − | 0.0563081i | ||||
\(386\) | 15.1333 | + | 10.9950i | 0.770265 | + | 0.559631i | ||||
\(387\) | −9.10760 | + | 28.0303i | −0.462965 | + | 1.42486i | ||||
\(388\) | −9.01718 | + | 27.7520i | −0.457778 | + | 1.40890i | ||||
\(389\) | 7.28054 | + | 5.28962i | 0.369138 | + | 0.268194i | 0.756853 | − | 0.653585i | \(-0.226736\pi\) |
−0.387715 | + | 0.921779i | \(0.626736\pi\) | |||||||
\(390\) | −1.85733 | + | 5.71628i | −0.0940496 | + | 0.289455i | ||||
\(391\) | −0.833796 | − | 2.56616i | −0.0421669 | − | 0.129776i | ||||
\(392\) | −36.5449 | + | 26.5514i | −1.84579 | + | 1.34105i | ||||
\(393\) | 3.48829 | + | 10.7358i | 0.175961 | + | 0.541551i | ||||
\(394\) | 41.1031 | + | 29.8632i | 2.07074 | + | 1.50448i | ||||
\(395\) | −4.71490 | − | 3.42557i | −0.237232 | − | 0.172359i | ||||
\(396\) | −15.4100 | + | 11.1960i | −0.774381 | + | 0.562621i | ||||
\(397\) | 7.23963 | 0.363347 | 0.181673 | − | 0.983359i | \(-0.441849\pi\) | ||||
0.181673 | + | 0.983359i | \(0.441849\pi\) | |||||||
\(398\) | −63.2001 | −3.16793 | ||||||||
\(399\) | 7.20305 | − | 5.23332i | 0.360603 | − | 0.261994i | ||||
\(400\) | −16.9906 | + | 52.2917i | −0.849530 | + | 2.61458i | ||||
\(401\) | −7.34593 | − | 22.6085i | −0.366838 | − | 1.12901i | −0.948822 | − | 0.315812i | \(-0.897723\pi\) |
0.581983 | − | 0.813201i | \(-0.302277\pi\) | |||||||
\(402\) | −21.5197 | −1.07331 | ||||||||
\(403\) | 4.97812 | + | 2.49366i | 0.247978 | + | 0.124218i | ||||
\(404\) | 81.0134 | 4.03057 | ||||||||
\(405\) | 1.77404 | + | 5.45995i | 0.0881530 | + | 0.271307i | ||||
\(406\) | −9.82627 | + | 30.2422i | −0.487670 | + | 1.50089i | ||||
\(407\) | −2.35327 | + | 1.70975i | −0.116647 | + | 0.0847492i | ||||
\(408\) | 137.024 | 6.78371 | ||||||||
\(409\) | 19.4742 | 0.962935 | 0.481467 | − | 0.876464i | \(-0.340104\pi\) | ||||
0.481467 | + | 0.876464i | \(0.340104\pi\) | |||||||
\(410\) | 20.3389 | − | 14.7770i | 1.00446 | − | 0.729786i | ||||
\(411\) | −31.8176 | − | 23.1168i | −1.56945 | − | 1.14027i | ||||
\(412\) | −1.21300 | − | 0.881295i | −0.0597601 | − | 0.0434183i | ||||
\(413\) | −0.134280 | − | 0.413270i | −0.00660747 | − | 0.0203357i | ||||
\(414\) | −3.51085 | + | 2.55078i | −0.172549 | + | 0.125364i | ||||
\(415\) | −0.530205 | − | 1.63180i | −0.0260267 | − | 0.0801020i | ||||
\(416\) | −5.37668 | + | 16.5477i | −0.263614 | + | 0.811319i | ||||
\(417\) | 32.8661 | + | 23.8786i | 1.60946 | + | 1.16934i | ||||
\(418\) | 2.12616 | − | 6.54364i | 0.103994 | − | 0.320060i | ||||
\(419\) | 6.39853 | − | 19.6927i | 0.312589 | − | 0.962049i | −0.664147 | − | 0.747602i | \(-0.731205\pi\) |
0.976736 | − | 0.214447i | \(-0.0687950\pi\) | |||||||
\(420\) | 12.7318 | + | 9.25018i | 0.621247 | + | 0.451362i | ||||
\(421\) | 9.81464 | − | 30.2064i | 0.478336 | − | 1.47217i | −0.363068 | − | 0.931762i | \(-0.618271\pi\) |
0.841405 | − | 0.540405i | \(-0.181729\pi\) | |||||||
\(422\) | 10.1814 | + | 31.3350i | 0.495621 | + | 1.52537i | ||||
\(423\) | −25.7269 | + | 18.6917i | −1.25088 | + | 0.908821i | ||||
\(424\) | 20.2709 | + | 62.3875i | 0.984443 | + | 3.02980i | ||||
\(425\) | 20.9879 | + | 15.2486i | 1.01806 | + | 0.739665i | ||||
\(426\) | −59.5308 | − | 43.2516i | −2.88428 | − | 2.09555i | ||||
\(427\) | 5.20184 | − | 3.77935i | 0.251734 | − | 0.182896i | ||||
\(428\) | −41.6643 | −2.01392 | ||||||||
\(429\) | −2.57022 | −0.124091 | ||||||||
\(430\) | 15.2237 | − | 11.0607i | 0.734151 | − | 0.533392i | ||||
\(431\) | −6.76673 | + | 20.8259i | −0.325942 | + | 1.00315i | 0.645071 | + | 0.764122i | \(0.276828\pi\) |
−0.971014 | + | 0.239024i | \(0.923172\pi\) | |||||||
\(432\) | −6.70670 | − | 20.6411i | −0.322676 | − | 0.993096i | ||||
\(433\) | −21.1031 | −1.01415 | −0.507076 | − | 0.861901i | \(-0.669274\pi\) | ||||
−0.507076 | + | 0.861901i | \(0.669274\pi\) | |||||||
\(434\) | 14.1483 | − | 14.3435i | 0.679141 | − | 0.688512i | ||||
\(435\) | −19.6356 | −0.941455 | ||||||||
\(436\) | −28.7267 | − | 88.4118i | −1.37576 | − | 4.23416i | ||||
\(437\) | 0.350505 | − | 1.07874i | 0.0167669 | − | 0.0516033i | ||||
\(438\) | −64.1921 | + | 46.6383i | −3.06722 | + | 2.22846i | ||||
\(439\) | 5.96677 | 0.284778 | 0.142389 | − | 0.989811i | \(-0.454522\pi\) | ||||
0.142389 | + | 0.989811i | \(0.454522\pi\) | |||||||
\(440\) | 7.51568 | 0.358296 | ||||||||
\(441\) | 15.3283 | − | 11.1367i | 0.729918 | − | 0.530317i | ||||
\(442\) | 13.2859 | + | 9.65276i | 0.631945 | + | 0.459135i | ||||
\(443\) | −25.3384 | − | 18.4094i | −1.20386 | − | 0.874658i | −0.209205 | − | 0.977872i | \(-0.567087\pi\) |
−0.994659 | + | 0.103214i | \(0.967087\pi\) | |||||||
\(444\) | −12.1768 | − | 37.4763i | −0.577886 | − | 1.77855i | ||||
\(445\) | −2.56944 | + | 1.86680i | −0.121803 | + | 0.0884950i | ||||
\(446\) | −0.543699 | − | 1.67333i | −0.0257449 | − | 0.0792347i | ||||
\(447\) | −1.75200 | + | 5.39211i | −0.0828669 | + | 0.255038i | ||||
\(448\) | 22.7714 | + | 16.5444i | 1.07585 | + | 0.781650i | ||||
\(449\) | −3.29468 | + | 10.1400i | −0.155485 | + | 0.478535i | −0.998210 | − | 0.0598103i | \(-0.980950\pi\) |
0.842724 | + | 0.538345i | \(0.180950\pi\) | |||||||
\(450\) | 12.8935 | − | 39.6821i | 0.607805 | − | 1.87063i | ||||
\(451\) | 8.69740 | + | 6.31903i | 0.409544 | + | 0.297551i | ||||
\(452\) | 34.3063 | − | 105.584i | 1.61363 | − | 4.96625i | ||||
\(453\) | 12.3429 | + | 37.9874i | 0.579919 | + | 1.78481i | ||||
\(454\) | 51.6773 | − | 37.5458i | 2.42534 | − | 1.76211i | ||||
\(455\) | 0.360190 | + | 1.10855i | 0.0168860 | + | 0.0519697i | ||||
\(456\) | 46.6004 | + | 33.8572i | 2.18227 | + | 1.58551i | ||||
\(457\) | 21.1289 | + | 15.3511i | 0.988370 | + | 0.718093i | 0.959563 | − | 0.281492i | \(-0.0908294\pi\) |
0.0288062 | + | 0.999585i | \(0.490829\pi\) | |||||||
\(458\) | 3.82667 | − | 2.78024i | 0.178808 | − | 0.129912i | ||||
\(459\) | −10.2403 | −0.477975 | ||||||||
\(460\) | 2.00486 | 0.0934773 | ||||||||
\(461\) | 29.5226 | − | 21.4494i | 1.37500 | − | 0.998998i | 0.377675 | − | 0.925938i | \(-0.376724\pi\) |
0.997328 | − | 0.0730594i | \(-0.0232763\pi\) | |||||||
\(462\) | −2.87400 | + | 8.84527i | −0.133711 | + | 0.411519i | ||||
\(463\) | 1.30408 | + | 4.01354i | 0.0606056 | + | 0.186525i | 0.976776 | − | 0.214265i | \(-0.0687357\pi\) |
−0.916170 | + | 0.400790i | \(0.868736\pi\) | |||||||
\(464\) | −113.707 | −5.27870 | ||||||||
\(465\) | 11.1234 | + | 5.57199i | 0.515836 | + | 0.258395i | ||||
\(466\) | 23.9567 | 1.10977 | ||||||||
\(467\) | 5.08450 | + | 15.6485i | 0.235283 | + | 0.724126i | 0.997084 | + | 0.0763148i | \(0.0243154\pi\) |
−0.761801 | + | 0.647811i | \(0.775685\pi\) | |||||||
\(468\) | 5.90584 | − | 18.1763i | 0.272998 | − | 0.840200i | ||||
\(469\) | −3.37627 | + | 2.45300i | −0.155902 | + | 0.113269i | ||||
\(470\) | 20.3035 | 0.936530 | ||||||||
\(471\) | −13.5436 | −0.624058 | ||||||||
\(472\) | 2.27436 | − | 1.65242i | 0.104686 | − | 0.0760588i | ||||
\(473\) | 6.51002 | + | 4.72981i | 0.299331 | + | 0.217477i | ||||
\(474\) | 37.7470 | + | 27.4248i | 1.73378 | + | 1.25966i | ||||
\(475\) | 3.36998 | + | 10.3717i | 0.154625 | + | 0.475888i | ||||
\(476\) | 34.7868 | − | 25.2741i | 1.59445 | − | 1.15844i | ||||
\(477\) | −8.50238 | − | 26.1676i | −0.389297 | − | 1.19813i | ||||
\(478\) | −7.81689 | + | 24.0579i | −0.357536 | + | 1.10038i | ||||
\(479\) | −17.9908 | − | 13.0711i | −0.822022 | − | 0.597234i | 0.0952688 | − | 0.995452i | \(-0.469629\pi\) |
−0.917291 | + | 0.398217i | \(0.869629\pi\) | |||||||
\(480\) | −12.0140 | + | 36.9753i | −0.548361 | + | 1.68768i | ||||
\(481\) | 0.901886 | − | 2.77572i | 0.0411224 | − | 0.126562i | ||||
\(482\) | −8.43421 | − | 6.12781i | −0.384168 | − | 0.279114i | ||||
\(483\) | −0.473791 | + | 1.45818i | −0.0215582 | + | 0.0663494i | ||||
\(484\) | −16.1894 | − | 49.8257i | −0.735880 | − | 2.26481i | ||||
\(485\) | −3.90694 | + | 2.83856i | −0.177405 | + | 0.128892i | ||||
\(486\) | −18.3855 | − | 56.5846i | −0.833981 | − | 2.56673i | ||||
\(487\) | 16.4603 | + | 11.9591i | 0.745887 | + | 0.541919i | 0.894549 | − | 0.446969i | \(-0.147497\pi\) |
−0.148662 | + | 0.988888i | \(0.547497\pi\) | |||||||
\(488\) | 33.6535 | + | 24.4507i | 1.52342 | + | 1.10683i | ||||
\(489\) | 14.5136 | − | 10.5447i | 0.656327 | − | 0.476849i | ||||
\(490\) | −12.0970 | −0.546485 | ||||||||
\(491\) | 7.04178 | 0.317791 | 0.158896 | − | 0.987295i | \(-0.449207\pi\) | ||||
0.158896 | + | 0.987295i | \(0.449207\pi\) | |||||||
\(492\) | −117.822 | + | 85.6026i | −5.31182 | + | 3.85926i | ||||
\(493\) | −16.5788 | + | 51.0242i | −0.746671 | + | 2.29802i | ||||
\(494\) | 2.13329 | + | 6.56559i | 0.0959813 | + | 0.295400i | ||||
\(495\) | −3.15236 | −0.141688 | ||||||||
\(496\) | 64.4139 | + | 32.2665i | 2.89227 | + | 1.44881i | ||||
\(497\) | −14.2701 | −0.640101 | ||||||||
\(498\) | 4.24476 | + | 13.0640i | 0.190212 | + | 0.585413i | ||||
\(499\) | 3.65903 | − | 11.2613i | 0.163801 | − | 0.504126i | −0.835145 | − | 0.550029i | \(-0.814617\pi\) |
0.998946 | + | 0.0459030i | \(0.0146165\pi\) | |||||||
\(500\) | −33.9446 | + | 24.6622i | −1.51805 | + | 1.10293i | ||||
\(501\) | −19.9093 | −0.889483 | ||||||||
\(502\) | −60.5706 | −2.70340 | ||||||||
\(503\) | 21.4788 | − | 15.6053i | 0.957692 | − | 0.695804i | 0.00507864 | − | 0.999987i | \(-0.498383\pi\) |
0.952614 | + | 0.304183i | \(0.0983834\pi\) | |||||||
\(504\) | −34.5760 | − | 25.1209i | −1.54014 | − | 1.11898i | ||||
\(505\) | 10.8469 | + | 7.88073i | 0.482680 | + | 0.350688i | ||||
\(506\) | 0.366134 | + | 1.12685i | 0.0162767 | + | 0.0500944i | ||||
\(507\) | 2.08632 | − | 1.51580i | 0.0926569 | − | 0.0673192i | ||||
\(508\) | −18.7325 | − | 57.6528i | −0.831122 | − | 2.55793i | ||||
\(509\) | −2.98816 | + | 9.19661i | −0.132448 | + | 0.407633i | −0.995184 | − | 0.0980211i | \(-0.968749\pi\) |
0.862736 | + | 0.505654i | \(0.168749\pi\) | |||||||
\(510\) | 29.6868 | + | 21.5687i | 1.31455 | + | 0.955079i | ||||
\(511\) | −4.75498 | + | 14.6343i | −0.210348 | + | 0.647385i | ||||
\(512\) | 0.0276340 | − | 0.0850486i | 0.00122126 | − | 0.00375865i | ||||
\(513\) | −3.48260 | − | 2.53026i | −0.153761 | − | 0.111714i | ||||
\(514\) | −9.06888 | + | 27.9111i | −0.400011 | + | 1.23111i | ||||
\(515\) | −0.0766789 | − | 0.235993i | −0.00337887 | − | 0.0103991i | ||||
\(516\) | −88.1900 | + | 64.0738i | −3.88235 | + | 2.82069i | ||||
\(517\) | 2.68297 | + | 8.25733i | 0.117997 | + | 0.363157i | ||||
\(518\) | −8.54401 | − | 6.20759i | −0.375402 | − | 0.272746i | ||||
\(519\) | 39.3155 | + | 28.5644i | 1.72576 | + | 1.25384i | ||||
\(520\) | −6.10071 | + | 4.43243i | −0.267534 | + | 0.194375i | ||||
\(521\) | −7.26662 | −0.318357 | −0.159178 | − | 0.987250i | \(-0.550884\pi\) | ||||
−0.159178 | + | 0.987250i | \(0.550884\pi\) | |||||||
\(522\) | 86.2874 | 3.77670 | ||||||||
\(523\) | 0.779595 | − | 0.566409i | 0.0340893 | − | 0.0247673i | −0.570610 | − | 0.821221i | \(-0.693293\pi\) |
0.604699 | + | 0.796454i | \(0.293293\pi\) | |||||||
\(524\) | −7.08183 | + | 21.7956i | −0.309371 | + | 0.952146i | ||||
\(525\) | −4.55533 | − | 14.0199i | −0.198811 | − | 0.611877i | ||||
\(526\) | 12.0037 | 0.523385 | ||||||||
\(527\) | 23.8709 | − | 24.2002i | 1.03983 | − | 1.05418i | ||||
\(528\) | −33.2571 | −1.44733 | ||||||||
\(529\) | −7.04703 | − | 21.6885i | −0.306393 | − | 0.942980i | ||||
\(530\) | −5.42852 | + | 16.7073i | −0.235800 | + | 0.725717i | ||||
\(531\) | −0.953952 | + | 0.693087i | −0.0413980 | + | 0.0300774i | ||||
\(532\) | 18.0756 | 0.783675 | ||||||||
\(533\) | −10.7866 | −0.467221 | ||||||||
\(534\) | 20.5706 | − | 14.9454i | 0.890178 | − | 0.646752i | ||||
\(535\) | −5.57843 | − | 4.05297i | −0.241177 | − | 0.175225i | ||||
\(536\) | −21.8429 | − | 15.8698i | −0.943471 | − | 0.685472i | ||||
\(537\) | 19.7234 | + | 60.7023i | 0.851126 | + | 2.61950i | ||||
\(538\) | −28.5641 | + | 20.7530i | −1.23148 | + | 0.894725i | ||||
\(539\) | −1.59853 | − | 4.91978i | −0.0688537 | − | 0.211910i | ||||
\(540\) | 2.35126 | − | 7.23644i | 0.101182 | − | 0.311407i | ||||
\(541\) | −10.4011 | − | 7.55685i | −0.447178 | − | 0.324894i | 0.341302 | − | 0.939954i | \(-0.389132\pi\) |
−0.788481 | + | 0.615059i | \(0.789132\pi\) | |||||||
\(542\) | 16.1550 | − | 49.7198i | 0.693915 | − | 2.13565i | ||||
\(543\) | 8.02810 | − | 24.7080i | 0.344519 | − | 1.06032i | ||||
\(544\) | 85.9386 | + | 62.4381i | 3.68459 | + | 2.67701i | ||||
\(545\) | 4.75420 | − | 14.6319i | 0.203647 | − | 0.626762i | ||||
\(546\) | −2.88364 | − | 8.87494i | −0.123409 | − | 0.379813i | ||||
\(547\) | 4.35891 | − | 3.16693i | 0.186373 | − | 0.135408i | −0.490686 | − | 0.871336i | \(-0.663254\pi\) |
0.677060 | + | 0.735928i | \(0.263254\pi\) | |||||||
\(548\) | −24.6732 | − | 75.9363i | −1.05399 | − | 3.24384i | ||||
\(549\) | −14.1155 | − | 10.2555i | −0.602437 | − | 0.437696i | ||||
\(550\) | −9.21614 | − | 6.69592i | −0.392977 | − | 0.285515i | ||||
\(551\) | −18.2458 | + | 13.2563i | −0.777297 | + | 0.564739i | ||||
\(552\) | −9.91922 | −0.422190 | ||||||||
\(553\) | 9.04830 | 0.384773 | ||||||||
\(554\) | −30.3048 | + | 22.0177i | −1.28753 | + | 0.935444i | ||||
\(555\) | 2.01523 | − | 6.20223i | 0.0855417 | − | 0.263270i | ||||
\(556\) | 25.4863 | + | 78.4387i | 1.08086 | + | 3.32654i | ||||
\(557\) | −3.53822 | −0.149919 | −0.0749595 | − | 0.997187i | \(-0.523883\pi\) | ||||
−0.0749595 | + | 0.997187i | \(0.523883\pi\) | |||||||
\(558\) | −48.8811 | − | 24.4858i | −2.06930 | − | 1.03657i | ||||
\(559\) | −8.07383 | −0.341487 | ||||||||
\(560\) | 4.66065 | + | 14.3440i | 0.196948 | + | 0.606144i | ||||
\(561\) | −4.84898 | + | 14.9236i | −0.204724 | + | 0.630076i | ||||
\(562\) | 15.4864 | − | 11.2515i | 0.653253 | − | 0.474616i | ||||
\(563\) | 17.5165 | 0.738231 | 0.369115 | − | 0.929384i | \(-0.379661\pi\) | ||||
0.369115 | + | 0.929384i | \(0.379661\pi\) | |||||||
\(564\) | −117.617 | −4.95257 | ||||||||
\(565\) | 14.8642 | − | 10.7994i | 0.625340 | − | 0.454336i | ||||
\(566\) | −24.1971 | − | 17.5802i | −1.01708 | − | 0.738951i | ||||
\(567\) | −7.21095 | − | 5.23906i | −0.302831 | − | 0.220020i | ||||
\(568\) | −28.5287 | − | 87.8024i | −1.19704 | − | 3.68411i | ||||
\(569\) | 9.19636 | − | 6.68154i | 0.385531 | − | 0.280105i | −0.378091 | − | 0.925769i | \(-0.623419\pi\) |
0.763622 | + | 0.645664i | \(0.223419\pi\) | |||||||
\(570\) | 4.76675 | + | 14.6706i | 0.199657 | + | 0.614482i | ||||
\(571\) | −6.03931 | + | 18.5871i | −0.252737 | + | 0.777845i | 0.741530 | + | 0.670920i | \(0.234101\pi\) |
−0.994267 | + | 0.106925i | \(0.965899\pi\) | |||||||
\(572\) | −4.22144 | − | 3.06706i | −0.176507 | − | 0.128240i | ||||
\(573\) | 17.0212 | − | 52.3859i | 0.711071 | − | 2.18845i | ||||
\(574\) | −12.0616 | + | 37.1217i | −0.503440 | + | 1.54943i | ||||
\(575\) | −1.51932 | − | 1.10385i | −0.0633599 | − | 0.0460337i | ||||
\(576\) | 23.6024 | − | 72.6407i | 0.983433 | − | 3.02670i | ||||
\(577\) | −8.10995 | − | 24.9598i | −0.337621 | − | 1.03909i | −0.965416 | − | 0.260713i | \(-0.916042\pi\) |
0.627795 | − | 0.778379i | \(-0.283958\pi\) | |||||||
\(578\) | 44.1180 | − | 32.0536i | 1.83507 | − | 1.33325i | ||||
\(579\) | −5.54178 | − | 17.0558i | −0.230308 | − | 0.708816i | ||||
\(580\) | −32.2504 | − | 23.4313i | −1.33913 | − | 0.972931i | ||||
\(581\) | 2.15512 | + | 1.56579i | 0.0894094 | + | 0.0649597i | ||||
\(582\) | 31.2786 | − | 22.7252i | 1.29654 | − | 0.941990i | ||||
\(583\) | −7.51211 | −0.311120 | ||||||||
\(584\) | −99.5498 | −4.11940 | ||||||||
\(585\) | 2.55887 | − | 1.85913i | 0.105796 | − | 0.0768654i | ||||
\(586\) | 9.05948 | − | 27.8822i | 0.374244 | − | 1.15180i | ||||
\(587\) | 6.85145 | + | 21.0866i | 0.282790 | + | 0.870337i | 0.987052 | + | 0.160398i | \(0.0512777\pi\) |
−0.704263 | + | 0.709939i | \(0.748722\pi\) | |||||||
\(588\) | 70.0771 | 2.88993 | ||||||||
\(589\) | 14.0978 | − | 2.33200i | 0.580891 | − | 0.0960884i | ||||
\(590\) | 0.752852 | 0.0309944 | ||||||||
\(591\) | −15.0518 | − | 46.3248i | −0.619150 | − | 1.90555i | ||||
\(592\) | 11.6699 | − | 35.9161i | 0.479628 | − | 1.47614i | ||||
\(593\) | 19.3473 | − | 14.0566i | 0.794498 | − | 0.577237i | −0.114797 | − | 0.993389i | \(-0.536622\pi\) |
0.909295 | + | 0.416152i | \(0.136622\pi\) | |||||||
\(594\) | 4.49668 | 0.184501 | ||||||||
\(595\) | 7.11620 | 0.291736 | ||||||||
\(596\) | −9.31202 | + | 6.76558i | −0.381435 | + | 0.277129i | ||||
\(597\) | 49.0191 | + | 35.6145i | 2.00622 | + | 1.45760i | ||||
\(598\) | −0.961768 | − | 0.698766i | −0.0393296 | − | 0.0285747i | ||||
\(599\) | −2.51000 | − | 7.72499i | −0.102556 | − | 0.315635i | 0.886593 | − | 0.462550i | \(-0.153065\pi\) |
−0.989149 | + | 0.146915i | \(0.953065\pi\) | |||||||
\(600\) | 77.1558 | − | 56.0570i | 3.14987 | − | 2.28852i | ||||
\(601\) | −7.62635 | − | 23.4715i | −0.311085 | − | 0.957422i | −0.977336 | − | 0.211694i | \(-0.932102\pi\) |
0.666251 | − | 0.745728i | \(-0.267898\pi\) | |||||||
\(602\) | −9.02811 | + | 27.7857i | −0.367958 | + | 1.13246i | ||||
\(603\) | 9.16174 | + | 6.65640i | 0.373095 | + | 0.271069i | ||||
\(604\) | −25.0582 | + | 77.1211i | −1.01960 | + | 3.13801i | ||||
\(605\) | 2.67930 | − | 8.24603i | 0.108929 | − | 0.335249i | ||||
\(606\) | −86.8391 | − | 63.0923i | −3.52760 | − | 2.56295i | ||||
\(607\) | 0.711366 | − | 2.18936i | 0.0288735 | − | 0.0888634i | −0.935581 | − | 0.353111i | \(-0.885124\pi\) |
0.964455 | + | 0.264248i | \(0.0851237\pi\) | |||||||
\(608\) | 13.7990 | + | 42.4690i | 0.559624 | + | 1.72234i | ||||
\(609\) | 24.6635 | − | 17.9191i | 0.999414 | − | 0.726117i | ||||
\(610\) | 3.44241 | + | 10.5947i | 0.139379 | + | 0.428965i | ||||
\(611\) | −7.04767 | − | 5.12043i | −0.285118 | − | 0.207150i | ||||
\(612\) | −94.3965 | − | 68.5831i | −3.81575 | − | 2.77231i | ||||
\(613\) | 9.16646 | − | 6.65982i | 0.370230 | − | 0.268988i | −0.387076 | − | 0.922048i | \(-0.626515\pi\) |
0.757306 | + | 0.653060i | \(0.226515\pi\) | |||||||
\(614\) | −9.37865 | −0.378492 | ||||||||
\(615\) | −24.1023 | −0.971900 | ||||||||
\(616\) | −9.44014 | + | 6.85866i | −0.380354 | + | 0.276343i | ||||
\(617\) | 2.93343 | − | 9.02817i | 0.118095 | − | 0.363460i | −0.874485 | − | 0.485053i | \(-0.838800\pi\) |
0.992580 | + | 0.121593i | \(0.0388002\pi\) | |||||||
\(618\) | 0.613883 | + | 1.88934i | 0.0246940 | + | 0.0760003i | ||||
\(619\) | 38.2803 | 1.53861 | 0.769307 | − | 0.638879i | \(-0.220602\pi\) | ||||
0.769307 | + | 0.638879i | \(0.220602\pi\) | |||||||
\(620\) | 11.6205 | + | 22.4253i | 0.466690 | + | 0.900623i | ||||
\(621\) | 0.741295 | 0.0297472 | ||||||||
\(622\) | 14.2558 | + | 43.8750i | 0.571607 | + | 1.75923i | ||||
\(623\) | 1.52375 | − | 4.68963i | 0.0610479 | − | 0.187886i | ||||
\(624\) | 26.9958 | − | 19.6136i | 1.08070 | − | 0.785172i | ||||
\(625\) | 14.3023 | 0.572094 | ||||||||
\(626\) | 66.4422 | 2.65557 | ||||||||
\(627\) | −5.33655 | + | 3.87723i | −0.213121 | + | 0.154842i | ||||
\(628\) | −22.2447 | − | 16.1617i | −0.887659 | − | 0.644922i | ||||
\(629\) | −14.4154 | − | 10.4734i | −0.574778 | − | 0.417601i | ||||
\(630\) | −3.53678 | − | 10.8851i | −0.140909 | − | 0.433672i | ||||
\(631\) | 2.14511 | − | 1.55852i | 0.0853956 | − | 0.0620435i | −0.544268 | − | 0.838911i | \(-0.683193\pi\) |
0.629664 | + | 0.776868i | \(0.283193\pi\) | |||||||
\(632\) | 18.0894 | + | 55.6733i | 0.719556 | + | 2.21457i | ||||
\(633\) | 9.76105 | − | 30.0414i | 0.387967 | − | 1.19404i | ||||
\(634\) | 7.34523 | + | 5.33662i | 0.291716 | + | 0.211944i | ||||
\(635\) | 3.10018 | − | 9.54138i | 0.123027 | − | 0.378638i | ||||
\(636\) | 31.4471 | − | 96.7842i | 1.24696 | − | 3.83774i | ||||
\(637\) | 4.19906 | + | 3.05079i | 0.166373 | + | 0.120877i | ||||
\(638\) | 7.28003 | − | 22.4056i | 0.288219 | − | 0.887047i | ||||
\(639\) | 11.9660 | + | 36.8276i | 0.473369 | + | 1.45688i | ||||
\(640\) | −15.0591 | + | 10.9411i | −0.595264 | + | 0.432484i | ||||
\(641\) | 10.6802 | + | 32.8702i | 0.421841 | + | 1.29829i | 0.905987 | + | 0.423306i | \(0.139130\pi\) |
−0.484146 | + | 0.874987i | \(0.660870\pi\) | |||||||
\(642\) | 44.6603 | + | 32.4476i | 1.76260 | + | 1.28061i | ||||
\(643\) | 16.3158 | + | 11.8541i | 0.643432 | + | 0.467481i | 0.861028 | − | 0.508558i | \(-0.169821\pi\) |
−0.217596 | + | 0.976039i | \(0.569821\pi\) | |||||||
\(644\) | −2.51823 | + | 1.82960i | −0.0992321 | + | 0.0720963i | ||||
\(645\) | −18.0407 | −0.710350 | ||||||||
\(646\) | 42.1470 | 1.65825 | ||||||||
\(647\) | −8.33558 | + | 6.05615i | −0.327705 | + | 0.238092i | −0.739456 | − | 0.673204i | \(-0.764917\pi\) |
0.411751 | + | 0.911296i | \(0.364917\pi\) | |||||||
\(648\) | 17.8193 | − | 54.8422i | 0.700008 | − | 2.15440i | ||||
\(649\) | 0.0994843 | + | 0.306181i | 0.00390510 | + | 0.0120187i | ||||
\(650\) | 11.4300 | 0.448321 | ||||||||
\(651\) | −19.0565 | + | 3.15225i | −0.746885 | + | 0.123546i | ||||
\(652\) | 36.4209 | 1.42635 | ||||||||
\(653\) | 2.92788 | + | 9.01108i | 0.114577 | + | 0.352631i | 0.991859 | − | 0.127345i | \(-0.0406455\pi\) |
−0.877282 | + | 0.479976i | \(0.840645\pi\) | |||||||
\(654\) | −38.0616 | + | 117.142i | −1.48833 | + | 4.58060i | ||||
\(655\) | −3.06840 | + | 2.22932i | −0.119892 | + | 0.0871068i | ||||
\(656\) | −139.573 | −5.44940 | ||||||||
\(657\) | 41.7549 | 1.62901 | ||||||||
\(658\) | −25.5024 | + | 18.5286i | −0.994186 | + | 0.722318i | ||||
\(659\) | 19.6011 | + | 14.2410i | 0.763549 | + | 0.554751i | 0.899997 | − | 0.435897i | \(-0.143569\pi\) |
−0.136448 | + | 0.990647i | \(0.543569\pi\) | |||||||
\(660\) | −9.43264 | − | 6.85321i | −0.367165 | − | 0.266761i | ||||
\(661\) | −1.03806 | − | 3.19484i | −0.0403760 | − | 0.124265i | 0.928837 | − | 0.370489i | \(-0.120810\pi\) |
−0.969213 | + | 0.246224i | \(0.920810\pi\) | |||||||
\(662\) | 8.73020 | − | 6.34286i | 0.339309 | − | 0.246522i | ||||
\(663\) | −4.86525 | − | 14.9737i | −0.188951 | − | 0.581531i | ||||
\(664\) | −5.32561 | + | 16.3906i | −0.206674 | + | 0.636077i | ||||
\(665\) | 2.42014 | + | 1.75833i | 0.0938490 | + | 0.0681853i | ||||
\(666\) | −8.85579 | + | 27.2553i | −0.343155 | + | 1.05612i | ||||
\(667\) | 1.20014 | − | 3.69366i | 0.0464697 | − | 0.143019i | ||||
\(668\) | −32.7000 | − | 23.7579i | −1.26520 | − | 0.919222i | ||||
\(669\) | −0.521254 | + | 1.60425i | −0.0201528 | + | 0.0620240i | ||||
\(670\) | −2.23431 | − | 6.87650i | −0.0863190 | − | 0.265662i | ||||
\(671\) | −3.85390 | + | 2.80003i | −0.148778 | + | 0.108094i | ||||
\(672\) | −18.6526 | − | 57.4068i | −0.719540 | − | 2.21452i | ||||
\(673\) | 15.8051 | + | 11.4830i | 0.609240 | + | 0.442639i | 0.849147 | − | 0.528157i | \(-0.177117\pi\) |
−0.239906 | + | 0.970796i | \(0.577117\pi\) | |||||||
\(674\) | −70.8293 | − | 51.4605i | −2.72824 | − | 1.98218i | ||||
\(675\) | −5.76610 | + | 4.18932i | −0.221937 | + | 0.161247i | ||||
\(676\) | 5.23549 | 0.201365 | ||||||||
\(677\) | −32.4238 | −1.24615 | −0.623073 | − | 0.782164i | \(-0.714116\pi\) | ||||
−0.623073 | + | 0.782164i | \(0.714116\pi\) | |||||||
\(678\) | −119.001 | + | 86.4592i | −4.57020 | + | 3.32045i | ||||
\(679\) | 2.31694 | − | 7.13080i | 0.0889158 | − | 0.273655i | ||||
\(680\) | 14.2267 | + | 43.7853i | 0.545569 | + | 1.67909i | ||||
\(681\) | −61.2396 | −2.34671 | ||||||||
\(682\) | −10.4821 | + | 10.6267i | −0.401381 | + | 0.406919i | ||||
\(683\) | 18.0982 | 0.692507 | 0.346254 | − | 0.938141i | \(-0.387454\pi\) | ||||
0.346254 | + | 0.938141i | \(0.387454\pi\) | |||||||
\(684\) | −15.1571 | − | 46.6487i | −0.579545 | − | 1.78366i | ||||
\(685\) | 4.08335 | − | 12.5673i | 0.156017 | − | 0.480170i | ||||
\(686\) | 35.6868 | − | 25.9280i | 1.36253 | − | 0.989935i | ||||
\(687\) | −4.53475 | −0.173012 | ||||||||
\(688\) | −104.471 | −3.98290 | ||||||||
\(689\) | 6.09781 | − | 4.43032i | 0.232308 | − | 0.168782i | ||||
\(690\) | −2.14903 | − | 1.56136i | −0.0818123 | − | 0.0594401i | ||||
\(691\) | 21.3287 | + | 15.4962i | 0.811383 | + | 0.589504i | 0.914231 | − | 0.405193i | \(-0.132796\pi\) |
−0.102848 | + | 0.994697i | \(0.532796\pi\) | |||||||
\(692\) | 30.4875 | + | 93.8310i | 1.15896 | + | 3.56692i | ||||
\(693\) | 3.95955 | − | 2.87678i | 0.150411 | − | 0.109280i | ||||
\(694\) | −3.40343 | − | 10.4747i | −0.129192 | − | 0.397613i | ||||
\(695\) | −4.21791 | + | 12.9814i | −0.159994 | + | 0.492412i | ||||
\(696\) | 159.561 | + | 115.928i | 6.04816 | + | 4.39425i | ||||
\(697\) | −20.3501 | + | 62.6313i | −0.770817 | + | 2.37233i | ||||
\(698\) | −28.5912 | + | 87.9946i | −1.08219 | + | 3.33064i | ||||
\(699\) | −18.5812 | − | 13.5000i | −0.702806 | − | 0.510619i | ||||
\(700\) | 9.24811 | − | 28.4628i | 0.349546 | − | 1.07579i | ||||
\(701\) | −8.03893 | − | 24.7413i | −0.303626 | − | 0.934465i | −0.980186 | − | 0.198078i | \(-0.936530\pi\) |
0.676560 | − | 0.736387i | \(-0.263470\pi\) | |||||||
\(702\) | −3.65009 | + | 2.65195i | −0.137764 | + | 0.100091i | ||||
\(703\) | −2.31465 | − | 7.12375i | −0.0872986 | − | 0.268677i | ||||
\(704\) | −16.8708 | − | 12.2573i | −0.635841 | − | 0.461966i | ||||
\(705\) | −15.7477 | − | 11.4414i | −0.593094 | − | 0.430908i | ||||
\(706\) | −8.56308 | + | 6.22144i | −0.322276 | + | 0.234147i | ||||
\(707\) | −20.8161 | −0.782871 | ||||||||
\(708\) | −4.36123 | −0.163905 | ||||||||
\(709\) | −7.96865 | + | 5.78957i | −0.299269 | + | 0.217432i | −0.727278 | − | 0.686343i | \(-0.759215\pi\) |
0.428009 | + | 0.903774i | \(0.359215\pi\) | |||||||
\(710\) | 7.63995 | − | 23.5133i | 0.286722 | − | 0.882440i | ||||
\(711\) | −7.58735 | − | 23.3515i | −0.284548 | − | 0.875749i | ||||
\(712\) | 31.9011 | 1.19555 | ||||||||
\(713\) | −1.72802 | + | 1.75186i | −0.0647148 | + | 0.0656077i | ||||
\(714\) | −56.9715 | −2.13211 | ||||||||
\(715\) | −0.266855 | − | 0.821297i | −0.00997983 | − | 0.0307148i | ||||
\(716\) | −40.0419 | + | 123.236i | −1.49644 | + | 4.60556i | ||||
\(717\) | 19.6200 | − | 14.2548i | 0.732723 | − | 0.532355i | ||||
\(718\) | 29.8549 | 1.11417 | ||||||||
\(719\) | −35.9525 | −1.34080 | −0.670401 | − | 0.741999i | \(-0.733878\pi\) | ||||
−0.670401 | + | 0.741999i | \(0.733878\pi\) | |||||||
\(720\) | 33.1102 | − | 24.0560i | 1.23395 | − | 0.896514i | ||||
\(721\) | 0.311676 | + | 0.226446i | 0.0116074 | + | 0.00843329i | ||||
\(722\) | −27.0134 | − | 19.6264i | −1.00534 | − | 0.730419i | ||||
\(723\) | 3.08858 | + | 9.50569i | 0.114866 | + | 0.353520i | ||||
\(724\) | 42.6699 | − | 31.0015i | 1.58581 | − | 1.15216i | ||||
\(725\) | 11.5389 | + | 35.5132i | 0.428545 | + | 1.31893i | ||||
\(726\) | −21.4502 | + | 66.0168i | −0.796090 | + | 2.45011i | ||||
\(727\) | 10.6011 | + | 7.70211i | 0.393171 | + | 0.285656i | 0.766754 | − | 0.641941i | \(-0.221871\pi\) |
−0.373583 | + | 0.927597i | \(0.621871\pi\) | |||||||
\(728\) | 3.61791 | − | 11.1348i | 0.134089 | − | 0.412683i | ||||
\(729\) | −11.4840 | + | 35.3443i | −0.425335 | + | 1.30905i | ||||
\(730\) | −21.5678 | − | 15.6699i | −0.798260 | − | 0.579970i | ||||
\(731\) | −15.2321 | + | 46.8797i | −0.563381 | + | 1.73391i | ||||
\(732\) | −19.9417 | − | 61.3743i | −0.737067 | − | 2.26846i | ||||
\(733\) | 15.7881 | − | 11.4707i | 0.583145 | − | 0.423680i | −0.256711 | − | 0.966488i | \(-0.582639\pi\) |
0.839857 | + | 0.542808i | \(0.182639\pi\) | |||||||
\(734\) | 31.3659 | + | 96.5344i | 1.15774 | + | 3.56315i | ||||
\(735\) | 9.38263 | + | 6.81688i | 0.346083 | + | 0.251444i | ||||
\(736\) | −6.22112 | − | 4.51991i | −0.229314 | − | 0.166606i | ||||
\(737\) | 2.50139 | − | 1.81737i | 0.0921399 | − | 0.0669436i | ||||
\(738\) | 105.916 | 3.89883 | ||||||||
\(739\) | 49.2886 | 1.81311 | 0.906556 | − | 0.422085i | \(-0.138702\pi\) | ||||
0.906556 | + | 0.422085i | \(0.138702\pi\) | |||||||
\(740\) | 10.7111 | − | 7.78205i | 0.393747 | − | 0.286074i | ||||
\(741\) | 2.04522 | − | 6.29454i | 0.0751330 | − | 0.231236i | ||||
\(742\) | −8.42818 | − | 25.9393i | −0.309408 | − | 0.952261i | ||||
\(743\) | 23.8803 | 0.876083 | 0.438042 | − | 0.898955i | \(-0.355672\pi\) | ||||
0.438042 | + | 0.898955i | \(0.355672\pi\) | |||||||
\(744\) | −57.4933 | − | 110.951i | −2.10781 | − | 4.06766i | ||||
\(745\) | −1.90492 | −0.0697909 | ||||||||
\(746\) | 12.5037 | + | 38.4823i | 0.457792 | + | 1.40894i | ||||
\(747\) | 2.23376 | − | 6.87481i | 0.0817291 | − | 0.251536i | ||||
\(748\) | −25.7727 | + | 18.7249i | −0.942342 | + | 0.684651i | ||||
\(749\) | 10.7055 | 0.391170 | ||||||||
\(750\) | 55.5921 | 2.02994 | ||||||||
\(751\) | 21.6807 | − | 15.7519i | 0.791138 | − | 0.574796i | −0.117163 | − | 0.993113i | \(-0.537380\pi\) |
0.908301 | + | 0.418317i | \(0.137380\pi\) | |||||||
\(752\) | −91.1926 | − | 66.2553i | −3.32545 | − | 2.41608i | ||||
\(753\) | 46.9796 | + | 34.1327i | 1.71203 | + | 1.24386i | ||||
\(754\) | 7.30446 | + | 22.4808i | 0.266013 | + | 0.818703i | ||||
\(755\) | −10.8571 | + | 7.88818i | −0.395132 | + | 0.287080i | ||||
\(756\) | 3.65051 | + | 11.2351i | 0.132768 | + | 0.408617i | ||||
\(757\) | −3.03566 | + | 9.34281i | −0.110333 | + | 0.339570i | −0.990945 | − | 0.134268i | \(-0.957132\pi\) |
0.880612 | + | 0.473838i | \(0.157132\pi\) | |||||||
\(758\) | 53.5173 | + | 38.8826i | 1.94383 | + | 1.41228i | ||||
\(759\) | 0.351019 | − | 1.08033i | 0.0127412 | − | 0.0392133i | ||||
\(760\) | −5.98052 | + | 18.4061i | −0.216936 | + | 0.667661i | ||||
\(761\) | −8.30309 | − | 6.03255i | −0.300987 | − | 0.218680i | 0.427033 | − | 0.904236i | \(-0.359559\pi\) |
−0.728019 | + | 0.685556i | \(0.759559\pi\) | |||||||
\(762\) | −24.8197 | + | 76.3873i | −0.899124 | + | 2.76722i | ||||
\(763\) | 7.38125 | + | 22.7171i | 0.267219 | + | 0.822416i | ||||
\(764\) | 90.4689 | − | 65.7295i | 3.27305 | − | 2.37801i | ||||
\(765\) | −5.96721 | − | 18.3652i | −0.215745 | − | 0.663995i | ||||
\(766\) | 20.1441 | + | 14.6356i | 0.727837 | + | 0.528805i | ||||
\(767\) | −0.261327 | − | 0.189865i | −0.00943598 | − | 0.00685564i | ||||
\(768\) | 33.2557 | − | 24.1617i | 1.20001 | − | 0.871860i | ||||
\(769\) | −36.8695 | −1.32955 | −0.664774 | − | 0.747045i | \(-0.731472\pi\) | ||||
−0.664774 | + | 0.747045i | \(0.731472\pi\) | |||||||
\(770\) | −3.12485 | −0.112612 | ||||||||
\(771\) | 22.7625 | − | 16.5379i | 0.819770 | − | 0.595598i | ||||
\(772\) | 11.2508 | − | 34.6263i | 0.404924 | − | 1.24623i | ||||
\(773\) | −11.5063 | − | 35.4129i | −0.413855 | − | 1.27371i | −0.913271 | − | 0.407352i | \(-0.866452\pi\) |
0.499417 | − | 0.866362i | \(-0.333548\pi\) | |||||||
\(774\) | 79.2785 | 2.84961 | ||||||||
\(775\) | 3.54087 | − | 23.3923i | 0.127192 | − | 0.840278i | ||||
\(776\) | 48.5071 | 1.74130 | ||||||||
\(777\) | 3.12879 | + | 9.62943i | 0.112245 | + | 0.345454i | ||||
\(778\) | 7.48036 | − | 23.0222i | 0.268184 | − | 0.825385i | ||||
\(779\) | −22.3964 | + | 16.2719i | −0.802433 | + | 0.583002i | ||||
\(780\) | 11.6985 | 0.418874 | ||||||||
\(781\) | 10.5723 | 0.378308 | ||||||||
\(782\) | −5.87177 | + | 4.26609i | −0.209974 | + | 0.152555i | ||||
\(783\) | −11.9245 | − | 8.66368i | −0.426148 | − | 0.309615i | ||||
\(784\) | 54.3333 | + | 39.4754i | 1.94047 | + | 1.40984i | ||||
\(785\) | −1.40618 | − | 4.32778i | −0.0501888 | − | 0.154465i | ||||
\(786\) | 24.5653 | − | 17.8477i | 0.876214 | − | 0.636607i | ||||
\(787\) | −13.8970 | − | 42.7707i | −0.495376 | − | 1.52461i | −0.816370 | − | 0.577530i | \(-0.804017\pi\) |
0.320993 | − | 0.947081i | \(-0.395983\pi\) | |||||||
\(788\) | 30.5579 | − | 94.0474i | 1.08858 | − | 3.35030i | ||||
\(789\) | −9.31026 | − | 6.76430i | −0.331454 | − | 0.240815i | ||||
\(790\) | −4.84430 | + | 14.9092i | −0.172352 | + | 0.530446i | ||||
\(791\) | −8.81490 | + | 27.1295i | −0.313422 | + | 0.964613i | ||||
\(792\) | 25.6165 | + | 18.6115i | 0.910242 | + | 0.661329i | ||||
\(793\) | 1.47700 | − | 4.54574i | 0.0524498 | − | 0.161424i | ||||
\(794\) | −6.01773 | − | 18.5207i | −0.213561 | − | 0.657274i | ||||
\(795\) | 13.6253 | − | 9.89938i | 0.483240 | − | 0.351095i | ||||
\(796\) | 38.0122 | + | 116.990i | 1.34731 | + | 4.14659i | ||||
\(797\) | 18.3849 | + | 13.3574i | 0.651228 | + | 0.473145i | 0.863689 | − | 0.504025i | \(-0.168148\pi\) |
−0.212461 | + | 0.977169i | \(0.568148\pi\) | |||||||
\(798\) | −19.3754 | − | 14.0770i | −0.685881 | − | 0.498322i | ||||
\(799\) | −43.0273 | + | 31.2612i | −1.52220 | + | 1.10594i | ||||
\(800\) | 73.9340 | 2.61396 | ||||||||
\(801\) | −13.3805 | −0.472778 | ||||||||
\(802\) | −51.7316 | + | 37.5852i | −1.82671 | + | 1.32718i | ||||
\(803\) | 3.52284 | − | 10.8422i | 0.124318 | − | 0.382613i | ||||
\(804\) | 12.9432 | + | 39.8352i | 0.456473 | + | 1.40488i | ||||
\(805\) | −0.515144 | −0.0181564 | ||||||||
\(806\) | 2.24146 | − | 14.8080i | 0.0789522 | − | 0.521589i | ||||
\(807\) | 33.8495 | 1.19156 | ||||||||
\(808\) | −41.6156 | − | 128.080i | −1.46403 | − | 4.50583i | ||||
\(809\) | 6.86307 | − | 21.1223i | 0.241293 | − | 0.742622i | −0.754932 | − | 0.655804i | \(-0.772330\pi\) |
0.996224 | − | 0.0868186i | \(-0.0276701\pi\) | |||||||
\(810\) | 12.4932 | − | 9.07685i | 0.438967 | − | 0.318928i | ||||
\(811\) | −5.11160 | −0.179492 | −0.0897462 | − | 0.995965i | \(-0.528606\pi\) | ||||
−0.0897462 | + | 0.995965i | \(0.528606\pi\) | |||||||
\(812\) | 61.8914 | 2.17196 | ||||||||
\(813\) | −40.5482 | + | 29.4600i | −1.42209 | + | 1.03321i | ||||
\(814\) | 6.33003 | + | 4.59904i | 0.221868 | + | 0.161196i | ||||
\(815\) | 4.87639 | + | 3.54291i | 0.170813 | + | 0.124103i | ||||
\(816\) | −62.9535 | − | 193.751i | −2.20381 | − | 6.78264i | ||||
\(817\) | −16.7637 | + | 12.1796i | −0.586489 | + | 0.426109i | ||||
\(818\) | −16.1873 | − | 49.8195i | −0.565976 | − | 1.74190i | ||||
\(819\) | −1.51749 | + | 4.67035i | −0.0530253 | + | 0.163195i | ||||
\(820\) | −39.5868 | − | 28.7615i | −1.38243 | − | 1.00439i | ||||
\(821\) | −5.94726 | + | 18.3038i | −0.207561 | + | 0.638806i | 0.792038 | + | 0.610472i | \(0.209020\pi\) |
−0.999599 | + | 0.0283343i | \(0.990980\pi\) | |||||||
\(822\) | −32.6908 | + | 100.612i | −1.14022 | + | 3.50925i | ||||
\(823\) | −19.3284 | − | 14.0429i | −0.673746 | − | 0.489505i | 0.197531 | − | 0.980297i | \(-0.436708\pi\) |
−0.871277 | + | 0.490791i | \(0.836708\pi\) | |||||||
\(824\) | −0.770197 | + | 2.37042i | −0.0268311 | + | 0.0825776i | ||||
\(825\) | 3.37492 | + | 10.3869i | 0.117500 | + | 0.361627i | ||||
\(826\) | −0.945627 | + | 0.687038i | −0.0329026 | + | 0.0239051i | ||||
\(827\) | −13.6416 | − | 41.9844i | −0.474364 | − | 1.45994i | −0.846814 | − | 0.531889i | \(-0.821482\pi\) |
0.372450 | − | 0.928052i | \(-0.378518\pi\) | |||||||
\(828\) | 6.83338 | + | 4.96474i | 0.237477 | + | 0.172537i | ||||
\(829\) | −17.3209 | − | 12.5844i | −0.601581 | − | 0.437074i | 0.244859 | − | 0.969559i | \(-0.421258\pi\) |
−0.846440 | + | 0.532484i | \(0.821258\pi\) | |||||||
\(830\) | −3.73382 | + | 2.71278i | −0.129603 | + | 0.0941618i | ||||
\(831\) | 35.9124 | 1.24579 | ||||||||
\(832\) | 20.9234 | 0.725388 | ||||||||
\(833\) | 25.6360 | − | 18.6257i | 0.888235 | − | 0.645341i | ||||
\(834\) | 33.7681 | − | 103.928i | 1.16929 | − | 3.59872i | ||||
\(835\) | −2.06711 | − | 6.36191i | −0.0715352 | − | 0.220163i | ||||
\(836\) | −13.3917 | −0.463162 | ||||||||
\(837\) | 4.29666 | + | 8.29173i | 0.148514 | + | 0.286604i | ||||
\(838\) | −55.6970 | −1.92402 | ||||||||
\(839\) | 16.7588 | + | 51.5781i | 0.578576 | + | 1.78067i | 0.623665 | + | 0.781692i | \(0.285643\pi\) |
−0.0450884 | + | 0.998983i | \(0.514357\pi\) | |||||||
\(840\) | 8.08408 | − | 24.8802i | 0.278927 | − | 0.858450i | ||||
\(841\) | −39.0127 | + | 28.3444i | −1.34526 | + | 0.977392i | ||||
\(842\) | −85.4331 | −2.94422 | ||||||||
\(843\) | −18.3519 | −0.632074 | ||||||||
\(844\) | 51.8806 | − | 37.6935i | 1.78580 | − | 1.29746i | ||||
\(845\) | 0.700981 | + | 0.509292i | 0.0241145 | + | 0.0175202i | ||||
\(846\) | 69.2024 | + | 50.2785i | 2.37923 | + | 1.72861i | ||||
\(847\) | 4.15981 | + | 12.8026i | 0.142933 | + | 0.439901i | ||||
\(848\) | 78.9021 | − | 57.3257i | 2.70951 | − | 1.96857i | ||||
\(849\) | 8.86089 | + | 27.2710i | 0.304105 | + | 0.935939i | ||||
\(850\) | 21.5639 | − | 66.3668i | 0.739635 | − | 2.27636i | ||||
\(851\) | 1.04353 | + | 0.758170i | 0.0357718 | + | 0.0259897i | ||||
\(852\) | −44.2578 | + | 136.212i | −1.51625 | + | 4.66653i | ||||
\(853\) | −4.64658 | + | 14.3007i | −0.159096 | + | 0.489646i | −0.998553 | − | 0.0537797i | \(-0.982873\pi\) |
0.839457 | + | 0.543426i | \(0.182873\pi\) | |||||||
\(854\) | −13.9924 | − | 10.1660i | −0.478808 | − | 0.347875i | ||||
\(855\) | 2.50845 | − | 7.72023i | 0.0857873 | − | 0.264026i | ||||
\(856\) | 21.4024 | + | 65.8699i | 0.731520 | + | 2.25139i | ||||
\(857\) | −16.0507 | + | 11.6615i | −0.548281 | + | 0.398349i | −0.827151 | − | 0.561979i | \(-0.810040\pi\) |
0.278870 | + | 0.960329i | \(0.410040\pi\) | |||||||
\(858\) | 2.13642 | + | 6.57521i | 0.0729361 | + | 0.224474i | ||||
\(859\) | 4.34949 | + | 3.16009i | 0.148403 | + | 0.107821i | 0.659509 | − | 0.751697i | \(-0.270764\pi\) |
−0.511106 | + | 0.859517i | \(0.670764\pi\) | |||||||
\(860\) | −29.6308 | − | 21.5280i | −1.01040 | − | 0.734100i | ||||
\(861\) | 30.2740 | − | 21.9953i | 1.03173 | − | 0.749598i | ||||
\(862\) | 58.9021 | 2.00621 | ||||||||
\(863\) | 46.6463 | 1.58786 | 0.793930 | − | 0.608010i | \(-0.208032\pi\) | ||||
0.793930 | + | 0.608010i | \(0.208032\pi\) | |||||||
\(864\) | −23.6103 | + | 17.1539i | −0.803240 | + | 0.583588i | ||||
\(865\) | −5.04560 | + | 15.5288i | −0.171556 | + | 0.527994i | ||||
\(866\) | 17.5414 | + | 53.9868i | 0.596080 | + | 1.83454i | ||||
\(867\) | −52.2815 | −1.77557 | ||||||||
\(868\) | −35.0609 | − | 17.5629i | −1.19005 | − | 0.596124i | ||||
\(869\) | −6.70365 | −0.227406 | ||||||||
\(870\) | 16.3215 | + | 50.2325i | 0.553351 | + | 1.70304i | ||||
\(871\) | −0.958652 | + | 2.95043i | −0.0324827 | + | 0.0999714i | ||||
\(872\) | −125.020 | + | 90.8322i | −4.23370 | + | 3.07597i | ||||
\(873\) | −20.3457 | −0.688597 | ||||||||
\(874\) | −3.05103 | −0.103203 | ||||||||
\(875\) | 8.72195 | − | 6.33687i | 0.294856 | − | 0.214225i | ||||
\(876\) | 124.941 | + | 90.7750i | 4.22137 | + | 3.06700i | ||||
\(877\) | 1.50235 | + | 1.09152i | 0.0507308 | + | 0.0368581i | 0.612862 | − | 0.790190i | \(-0.290018\pi\) |
−0.562131 | + | 0.827048i | \(0.690018\pi\) | |||||||
\(878\) | −4.95970 | − | 15.2644i | −0.167382 | − | 0.515148i | ||||
\(879\) | −22.7389 | + | 16.5208i | −0.766963 | + | 0.557231i | ||||
\(880\) | −3.45295 | − | 10.6271i | −0.116399 | − | 0.358239i | ||||
\(881\) | 4.82818 | − | 14.8596i | 0.162665 | − | 0.500633i | −0.836191 | − | 0.548438i | \(-0.815223\pi\) |
0.998857 | + | 0.0478053i | \(0.0152227\pi\) | |||||||
\(882\) | −41.2314 | − | 29.9563i | −1.38833 | − | 1.00868i | ||||
\(883\) | 5.14871 | − | 15.8461i | 0.173268 | − | 0.533264i | −0.826282 | − | 0.563256i | \(-0.809548\pi\) |
0.999550 | + | 0.0299926i | \(0.00954837\pi\) | |||||||
\(884\) | 9.87731 | − | 30.3992i | 0.332210 | − | 1.02244i | ||||
\(885\) | −0.583926 | − | 0.424247i | −0.0196284 | − | 0.0142609i | ||||
\(886\) | −26.0338 | + | 80.1239i | −0.874624 | + | 2.69181i | ||||
\(887\) | 11.1662 | + | 34.3661i | 0.374925 | + | 1.15390i | 0.943529 | + | 0.331289i | \(0.107484\pi\) |
−0.568604 | + | 0.822611i | \(0.692516\pi\) | |||||||
\(888\) | −52.9939 | + | 38.5023i | −1.77836 | + | 1.29205i | ||||
\(889\) | 4.81327 | + | 14.8137i | 0.161432 | + | 0.496836i | ||||
\(890\) | 6.91149 | + | 5.02149i | 0.231674 | + | 0.168321i | ||||
\(891\) | 5.34240 | + | 3.88148i | 0.178977 | + | 0.130035i | ||||
\(892\) | −2.77050 | + | 2.01288i | −0.0927631 | + | 0.0673963i | ||||
\(893\) | −22.3574 | −0.748162 | ||||||||
\(894\) | 15.2506 | 0.510056 | ||||||||
\(895\) | −17.3493 | + | 12.6050i | −0.579922 | + | 0.421338i | ||||
\(896\) | 8.93052 | − | 27.4853i | 0.298348 | − | 0.918219i | ||||
\(897\) | 0.352197 | + | 1.08395i | 0.0117595 | + | 0.0361920i | ||||
\(898\) | 28.6790 | 0.957032 | ||||||||
\(899\) | 48.2715 | − | 7.98484i | 1.60994 | − | 0.266309i | ||||
\(900\) | −81.2104 | −2.70701 | ||||||||
\(901\) | −14.2199 | − | 43.7645i | −0.473735 | − | 1.45801i | ||||
\(902\) | 8.93610 | − | 27.5025i | 0.297540 | − | 0.915733i | ||||
\(903\) | 22.6601 | − | 16.4636i | 0.754082 | − | 0.547873i | ||||
\(904\) | −184.548 | −6.13797 | ||||||||
\(905\) | 8.72880 | 0.290155 | ||||||||
\(906\) | 86.9212 | − | 63.1519i | 2.88776 | − | 2.09808i | ||||
\(907\) | −38.1022 | − | 27.6829i | −1.26516 | − | 0.919195i | −0.266164 | − | 0.963928i | \(-0.585756\pi\) |
−0.998999 | + | 0.0447333i | \(0.985756\pi\) | |||||||
\(908\) | −100.583 | − | 73.0776i | −3.33796 | − | 2.42517i | ||||
\(909\) | 17.4551 | + | 53.7214i | 0.578950 | + | 1.78183i | ||||
\(910\) | 2.53654 | − | 1.84290i | 0.0840854 | − | 0.0610916i | ||||
\(911\) | 3.91461 | + | 12.0479i | 0.129697 | + | 0.399165i | 0.994727 | − | 0.102553i | \(-0.0327013\pi\) |
−0.865031 | + | 0.501719i | \(0.832701\pi\) | |||||||
\(912\) | 26.4639 | − | 81.4476i | 0.876308 | − | 2.69700i | ||||
\(913\) | −1.59667 | − | 1.16005i | −0.0528421 | − | 0.0383920i | ||||
\(914\) | 21.7088 | − | 66.8129i | 0.718064 | − | 2.20997i | ||||
\(915\) | 3.30030 | − | 10.1573i | 0.109104 | − | 0.335789i | ||||
\(916\) | −7.44808 | − | 5.41135i | −0.246092 | − | 0.178796i | ||||
\(917\) | 1.81965 | − | 5.60032i | 0.0600903 | − | 0.184939i | ||||
\(918\) | 8.51192 | + | 26.1970i | 0.280935 | + | 0.864630i | ||||
\(919\) | −13.9695 | + | 10.1495i | −0.460812 | + | 0.334800i | −0.793850 | − | 0.608114i | \(-0.791926\pi\) |
0.333038 | + | 0.942914i | \(0.391926\pi\) | |||||||
\(920\) | −1.02987 | − | 3.16963i | −0.0339540 | − | 0.104500i | ||||
\(921\) | 7.27425 | + | 5.28505i | 0.239695 | + | 0.174148i | ||||
\(922\) | −79.4123 | − | 57.6964i | −2.61531 | − | 1.90013i | ||||
\(923\) | −8.58190 | + | 6.23511i | −0.282477 | + | 0.205231i | ||||
\(924\) | 18.1021 | 0.595514 | ||||||||
\(925\) | −12.4017 | −0.407765 | ||||||||
\(926\) | 9.18359 | − | 6.67227i | 0.301792 | − | 0.219264i | ||||
\(927\) | 0.323049 | − | 0.994244i | 0.0106103 | − | 0.0326553i | ||||
\(928\) | 47.2483 | + | 145.415i | 1.55100 | + | 4.77349i | ||||
\(929\) | −21.4238 | −0.702893 | −0.351447 | − | 0.936208i | \(-0.614310\pi\) | ||||
−0.351447 | + | 0.936208i | \(0.614310\pi\) | |||||||
\(930\) | 5.00846 | − | 33.0878i | 0.164234 | − | 1.08499i | ||||
\(931\) | 13.3207 | 0.436569 | ||||||||
\(932\) | −14.4090 | − | 44.3462i | −0.471981 | − | 1.45261i | ||||
\(933\) | 13.6673 | − | 42.0637i | 0.447448 | − | 1.37710i | ||||
\(934\) | 35.8062 | − | 26.0147i | 1.17161 | − | 0.851227i | ||||
\(935\) | −5.27221 | −0.172420 | ||||||||
\(936\) | −31.7699 | −1.03843 | ||||||||
\(937\) | 18.3850 | − | 13.3575i | 0.600612 | − | 0.436370i | −0.245484 | − | 0.969401i | \(-0.578947\pi\) |
0.846096 | + | 0.533030i | \(0.178947\pi\) | |||||||
\(938\) | 9.08179 | + | 6.59830i | 0.296531 | + | 0.215442i | ||||
\(939\) | −51.5338 | − | 37.4415i | −1.68174 | − | 1.22186i | ||||
\(940\) | −12.2117 | − | 37.5838i | −0.398302 | − | 1.22585i | ||||
\(941\) | 17.4742 | − | 12.6958i | 0.569644 | − | 0.413870i | −0.265332 | − | 0.964157i | \(-0.585482\pi\) |
0.834976 | + | 0.550287i | \(0.185482\pi\) | |||||||
\(942\) | 11.2577 | + | 34.6478i | 0.366797 | + | 1.12889i | ||||
\(943\) | 1.47315 | − | 4.53390i | 0.0479724 | − | 0.147644i | ||||
\(944\) | −3.38142 | − | 2.45675i | −0.110056 | − | 0.0799602i | ||||
\(945\) | −0.604149 | + | 1.85938i | −0.0196530 | + | 0.0604856i | ||||
\(946\) | 6.68869 | − | 20.5857i | 0.217468 | − | 0.669298i | ||||
\(947\) | 18.4996 | + | 13.4407i | 0.601156 | + | 0.436765i | 0.846289 | − | 0.532724i | \(-0.178832\pi\) |
−0.245133 | + | 0.969489i | \(0.578832\pi\) | |||||||
\(948\) | 28.0628 | − | 86.3683i | 0.911436 | − | 2.80511i | ||||
\(949\) | 3.53466 | + | 10.8786i | 0.114740 | + | 0.353134i | ||||
\(950\) | 23.7322 | − | 17.2424i | 0.769973 | − | 0.559418i | ||||
\(951\) | −2.68980 | − | 8.27836i | −0.0872228 | − | 0.268444i | ||||
\(952\) | −57.8272 | − | 42.0139i | −1.87419 | − | 1.36168i | ||||
\(953\) | −10.3791 | − | 7.54086i | −0.336212 | − | 0.244272i | 0.406850 | − | 0.913495i | \(-0.366627\pi\) |
−0.743062 | + | 0.669223i | \(0.766627\pi\) | |||||||
\(954\) | −59.8756 | + | 43.5022i | −1.93854 | + | 1.40844i | ||||
\(955\) | 18.5068 | 0.598867 | ||||||||
\(956\) | 49.2352 | 1.59238 | ||||||||
\(957\) | −18.2725 | + | 13.2758i | −0.590667 | + | 0.429145i | ||||
\(958\) | −18.4846 | + | 56.8898i | −0.597210 | + | 1.83802i | ||||
\(959\) | 6.33970 | + | 19.5116i | 0.204720 | + | 0.630062i | ||||
\(960\) | 46.7525 | 1.50893 | ||||||||
\(961\) | −29.6112 | − | 9.17465i | −0.955201 | − | 0.295956i | ||||
\(962\) | −7.85061 | −0.253114 | ||||||||
\(963\) | −8.97698 | − | 27.6283i | −0.289279 | − | 0.890310i | ||||
\(964\) | −6.27037 | + | 19.2982i | −0.201955 | + | 0.621553i | ||||
\(965\) | 4.87471 | − | 3.54168i | 0.156922 | − | 0.114011i | ||||
\(966\) | 4.12418 | 0.132693 | ||||||||
\(967\) | 11.6770 | 0.375508 | 0.187754 | − | 0.982216i | \(-0.439879\pi\) | ||||
0.187754 | + | 0.982216i | \(0.439879\pi\) | |||||||
\(968\) | −70.4567 | + | 51.1898i | −2.26456 | + | 1.64530i | ||||
\(969\) | −32.6899 | − | 23.7506i | −1.05015 | − | 0.762980i | ||||
\(970\) | 10.5092 | + | 7.63540i | 0.337431 | + | 0.245158i | ||||
\(971\) | −0.0418491 | − | 0.128798i | −0.00134300 | − | 0.00413333i | 0.950383 | − | 0.311083i | \(-0.100692\pi\) |
−0.951726 | + | 0.306950i | \(0.900692\pi\) | |||||||
\(972\) | −93.6857 | + | 68.0666i | −3.00497 | + | 2.18324i | ||||
\(973\) | −6.54862 | − | 20.1546i | −0.209939 | − | 0.646126i | ||||
\(974\) | 16.9121 | − | 52.0499i | 0.541897 | − | 1.66779i | ||||
\(975\) | −8.86531 | − | 6.44102i | −0.283917 | − | 0.206278i | ||||
\(976\) | 19.1115 | − | 58.8191i | 0.611744 | − | 1.88275i | ||||
\(977\) | 12.3793 | − | 38.0996i | 0.396050 | − | 1.21892i | −0.532092 | − | 0.846687i | \(-0.678594\pi\) |
0.928141 | − | 0.372228i | \(-0.121406\pi\) | |||||||
\(978\) | −39.0399 | − | 28.3641i | −1.24836 | − | 0.906985i | ||||
\(979\) | −1.12891 | + | 3.47443i | −0.0360801 | + | 0.111043i | ||||
\(980\) | 7.27583 | + | 22.3927i | 0.232418 | + | 0.715309i | ||||
\(981\) | 52.4380 | − | 38.0984i | 1.67422 | − | 1.21639i | ||||
\(982\) | −5.85328 | − | 18.0145i | −0.186786 | − | 0.574867i | ||||
\(983\) | −42.3375 | − | 30.7600i | −1.35036 | − | 0.981093i | −0.998994 | − | 0.0448539i | \(-0.985718\pi\) |
−0.351365 | − | 0.936239i | \(-0.614282\pi\) | |||||||
\(984\) | 195.859 | + | 142.300i | 6.24375 | + | 4.53635i | ||||
\(985\) | 13.2400 | − | 9.61945i | 0.421863 | − | 0.306501i | ||||
\(986\) | 144.313 | 4.59585 | ||||||||
\(987\) | 30.2213 | 0.961954 | ||||||||
\(988\) | 10.8705 | − | 7.89787i | 0.345836 | − | 0.251265i | ||||
\(989\) | 1.10266 | − | 3.39363i | 0.0350625 | − | 0.107911i | ||||
\(990\) | 2.62031 | + | 8.06447i | 0.0832788 | + | 0.256306i | ||||
\(991\) | 14.1347 | 0.449002 | 0.224501 | − | 0.974474i | \(-0.427925\pi\) | ||||
0.224501 | + | 0.974474i | \(0.427925\pi\) | |||||||
\(992\) | 14.4987 | − | 95.7842i | 0.460335 | − | 3.04115i | ||||
\(993\) | −10.3456 | −0.328309 | ||||||||
\(994\) | 11.8616 | + | 36.5062i | 0.376227 | + | 1.15791i | ||||
\(995\) | −6.29092 | + | 19.3615i | −0.199436 | + | 0.613800i | ||||
\(996\) | 21.6298 | − | 15.7150i | 0.685366 | − | 0.497947i | ||||
\(997\) | 26.4077 | 0.836339 | 0.418169 | − | 0.908369i | \(-0.362672\pi\) | ||||
0.418169 | + | 0.908369i | \(0.362672\pi\) | |||||||
\(998\) | −31.8506 | −1.00821 | ||||||||
\(999\) | 3.96040 | − | 2.87740i | 0.125302 | − | 0.0910369i |
(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 | 403.2.k.e.66.1 | ✓ | 68 | |
31.8 | even | 5 | inner | 403.2.k.e.287.1 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.k.e.66.1 | ✓ | 68 | 1.1 | even | 1 | trivial | |
403.2.k.e.287.1 | yes | 68 | 31.8 | even | 5 | inner |