Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(503,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.503");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.dx (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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 503.16 | ||
Character | \(\chi\) | \(=\) | 819.503 |
Dual form | 819.2.dx.a.692.16 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.569266 | − | 0.328666i | −0.402532 | − | 0.232402i | 0.285044 | − | 0.958514i | \(-0.407992\pi\) |
−0.687576 | + | 0.726113i | \(0.741325\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.783957 | − | 1.35785i | −0.391979 | − | 0.678927i | ||||
\(5\) | 1.53259 | 0.685395 | 0.342698 | − | 0.939446i | \(-0.388659\pi\) | ||||
0.342698 | + | 0.939446i | \(0.388659\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.32824 | − | 1.25669i | 0.879994 | − | 0.474985i | ||||
\(8\) | 2.34530i | 0.829190i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.872452 | − | 0.503710i | −0.275893 | − | 0.159287i | ||||
\(11\) | 4.04129 | + | 2.33324i | 1.21850 | + | 0.703499i | 0.964596 | − | 0.263732i | \(-0.0849534\pi\) |
0.253900 | + | 0.967231i | \(0.418287\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.00017 | + | 1.99974i | 0.832098 | + | 0.554628i | ||||
\(14\) | −1.73842 | − | 0.0498218i | −0.464613 | − | 0.0133154i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.797093 | + | 1.38061i | −0.199273 | + | 0.345151i | ||||
\(17\) | 0.402797 | + | 0.697666i | 0.0976927 | + | 0.169209i | 0.910729 | − | 0.413004i | \(-0.135520\pi\) |
−0.813037 | + | 0.582213i | \(0.802187\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.24196 | + | 3.02645i | −1.20259 | + | 0.694314i | −0.961130 | − | 0.276097i | \(-0.910959\pi\) |
−0.241458 | + | 0.970411i | \(0.577626\pi\) | |||||||
\(20\) | −1.20149 | − | 2.08103i | −0.268660 | − | 0.465333i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.53371 | − | 2.65647i | −0.326989 | − | 0.566361i | ||||
\(23\) | 5.00969 | + | 2.89235i | 1.04459 | + | 0.603096i | 0.921131 | − | 0.389253i | \(-0.127267\pi\) |
0.123462 | + | 0.992349i | \(0.460600\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.65117 | −0.530234 | ||||||||
\(26\) | −1.05065 | − | 2.12444i | −0.206049 | − | 0.416637i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.53165 | − | 2.17622i | −0.667419 | − | 0.411267i | ||||
\(29\) | 2.95047 | + | 1.70345i | 0.547888 | + | 0.316323i | 0.748270 | − | 0.663394i | \(-0.230885\pi\) |
−0.200382 | + | 0.979718i | \(0.564218\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.33911i | − | 0.599721i | −0.953983 | − | 0.299861i | \(-0.903060\pi\) | ||
0.953983 | − | 0.299861i | \(-0.0969402\pi\) | |||||||
\(32\) | 4.96970 | − | 2.86926i | 0.878528 | − | 0.507218i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 0.529543i | − | 0.0908159i | ||||||
\(35\) | 3.56824 | − | 1.92600i | 0.603143 | − | 0.325553i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.16725 | − | 8.94995i | 0.849491 | − | 1.47136i | −0.0321718 | − | 0.999482i | \(-0.510242\pi\) |
0.881663 | − | 0.471880i | \(-0.156424\pi\) | |||||||
\(38\) | 3.97876 | 0.645440 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.59439i | 0.568323i | ||||||||
\(41\) | −4.26925 | + | 7.39455i | −0.666744 | + | 1.15484i | 0.312065 | + | 0.950061i | \(0.398979\pi\) |
−0.978809 | + | 0.204774i | \(0.934354\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.374423 | + | 0.648520i | 0.0570990 | + | 0.0988984i | 0.893162 | − | 0.449735i | \(-0.148482\pi\) |
−0.836063 | + | 0.548633i | \(0.815148\pi\) | |||||||
\(44\) | − | 7.31665i | − | 1.10303i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.90123 | − | 3.29303i | −0.280321 | − | 0.485531i | ||||
\(47\) | 3.40994 | 0.497392 | 0.248696 | − | 0.968582i | \(-0.419998\pi\) | ||||
0.248696 | + | 0.968582i | \(0.419998\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.84144 | − | 5.85178i | 0.548778 | − | 0.835968i | ||||
\(50\) | 1.50922 | + | 0.871349i | 0.213436 | + | 0.123227i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.363350 | − | 5.64151i | 0.0503875 | − | 0.782336i | ||||
\(53\) | 3.36989i | 0.462890i | 0.972848 | + | 0.231445i | \(0.0743454\pi\) | ||||
−0.972848 | + | 0.231445i | \(0.925655\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.19364 | + | 3.57590i | 0.835151 | + | 0.482175i | ||||
\(56\) | 2.94733 | + | 5.46044i | 0.393853 | + | 0.729682i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.11973 | − | 1.93944i | −0.147028 | − | 0.254661i | ||||
\(59\) | −6.01065 | − | 10.4108i | −0.782520 | − | 1.35536i | −0.930469 | − | 0.366370i | \(-0.880601\pi\) |
0.147949 | − | 0.988995i | \(-0.452733\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.38423 | + | 3.10858i | −0.689379 | + | 0.398013i | −0.803380 | − | 0.595467i | \(-0.796967\pi\) |
0.114000 | + | 0.993481i | \(0.463634\pi\) | |||||||
\(62\) | −1.09745 | + | 1.90084i | −0.139376 | + | 0.241407i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.583740 | −0.0729675 | ||||||||
\(65\) | 4.59803 | + | 3.06478i | 0.570316 | + | 0.380140i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0773636 | + | 0.133998i | −0.00945147 | + | 0.0163704i | −0.870712 | − | 0.491792i | \(-0.836342\pi\) |
0.861261 | + | 0.508163i | \(0.169675\pi\) | |||||||
\(68\) | 0.631552 | − | 1.09388i | 0.0765869 | − | 0.132652i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.66429 | − | 0.0763564i | −0.318444 | − | 0.00912634i | ||||
\(71\) | 7.08338 | − | 4.08959i | 0.840642 | − | 0.485345i | −0.0168402 | − | 0.999858i | \(-0.505361\pi\) |
0.857483 | + | 0.514513i | \(0.172027\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 6.84401i | − | 0.801031i | −0.916290 | − | 0.400515i | \(-0.868831\pi\) | ||
0.916290 | − | 0.400515i | \(-0.131169\pi\) | |||||||
\(74\) | −5.88309 | + | 3.39660i | −0.683895 | + | 0.394847i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.21894 | + | 4.74521i | 0.942777 | + | 0.544313i | ||||
\(77\) | 12.3413 | + | 0.353691i | 1.40642 | + | 0.0403069i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.07810 | 0.121296 | 0.0606478 | − | 0.998159i | \(-0.480683\pi\) | ||||
0.0606478 | + | 0.998159i | \(0.480683\pi\) | |||||||
\(80\) | −1.22162 | + | 2.11590i | −0.136581 | + | 0.236565i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.86068 | − | 2.80631i | 0.536772 | − | 0.309905i | ||||
\(83\) | −6.36278 | −0.698406 | −0.349203 | − | 0.937047i | \(-0.613548\pi\) | ||||
−0.349203 | + | 0.937047i | \(0.613548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.617323 | + | 1.06924i | 0.0669581 | + | 0.115975i | ||||
\(86\) | − | 0.492241i | − | 0.0530797i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.47216 | + | 9.47806i | −0.583334 | + | 1.01036i | ||||
\(89\) | 0.637871 | − | 1.10483i | 0.0676142 | − | 0.117111i | −0.830236 | − | 0.557411i | \(-0.811795\pi\) |
0.897851 | + | 0.440300i | \(0.145128\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.49820 | + | 0.885591i | 0.995681 | + | 0.0928351i | ||||
\(92\) | − | 9.06991i | − | 0.945603i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.94117 | − | 1.12073i | −0.200216 | − | 0.115595i | ||||
\(95\) | −8.03377 | + | 4.63830i | −0.824248 | + | 0.475880i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.76704 | + | 5.63900i | −0.991693 | + | 0.572554i | −0.905780 | − | 0.423749i | \(-0.860714\pi\) |
−0.0859130 | + | 0.996303i | \(0.527381\pi\) | |||||||
\(98\) | −4.11008 | + | 2.06867i | −0.415181 | + | 0.208967i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.07840 | + | 3.59990i | 0.207840 | + | 0.359990i | ||||
\(101\) | 7.59723 | − | 13.1588i | 0.755953 | − | 1.30935i | −0.188946 | − | 0.981987i | \(-0.560507\pi\) |
0.944899 | − | 0.327362i | \(-0.106159\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 11.9591i | − | 1.17836i | −0.808000 | − | 0.589182i | \(-0.799450\pi\) | ||
0.808000 | − | 0.589182i | \(-0.200550\pi\) | |||||||
\(104\) | −4.69000 | + | 7.03632i | −0.459893 | + | 0.689968i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.10757 | − | 1.91837i | 0.107577 | − | 0.186328i | ||||
\(107\) | −1.67813 | − | 0.968872i | −0.162231 | − | 0.0936643i | 0.416686 | − | 0.909050i | \(-0.363191\pi\) |
−0.578918 | + | 0.815386i | \(0.696525\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.7291 | 1.79393 | 0.896963 | − | 0.442105i | \(-0.145768\pi\) | ||||
0.896963 | + | 0.442105i | \(0.145768\pi\) | |||||||
\(110\) | −2.35055 | − | 4.07128i | −0.224117 | − | 0.388181i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.120830 | + | 4.21609i | −0.0114173 | + | 0.398383i | ||||
\(113\) | −12.5827 | + | 7.26462i | −1.18368 | + | 0.683398i | −0.956863 | − | 0.290539i | \(-0.906165\pi\) |
−0.226818 | + | 0.973937i | \(0.572832\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.67780 | + | 4.43278i | 0.715959 | + | 0.413359i | ||||
\(116\) | − | 5.34174i | − | 0.495968i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.90199i | 0.727437i | ||||||||
\(119\) | 1.81456 | + | 1.11814i | 0.166341 | + | 0.102500i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.38803 | + | 9.33234i | 0.489821 | + | 0.848395i | ||||
\(122\) | 4.08674 | 0.369996 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.53402 | + | 2.61772i | −0.407167 | + | 0.235078i | ||||
\(125\) | −11.7261 | −1.04881 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.14235 | − | 3.71066i | 0.190103 | − | 0.329268i | −0.755181 | − | 0.655516i | \(-0.772451\pi\) |
0.945284 | + | 0.326248i | \(0.105785\pi\) | |||||||
\(128\) | −9.60710 | − | 5.54666i | −0.849156 | − | 0.490260i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.61022 | − | 3.25589i | −0.141225 | − | 0.285561i | ||||
\(131\) | −15.2887 | −1.33578 | −0.667890 | − | 0.744260i | \(-0.732802\pi\) | ||||
−0.667890 | + | 0.744260i | \(0.732802\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.40125 | + | 13.6338i | −0.728480 | + | 1.18220i | ||||
\(134\) | 0.0880810 | − | 0.0508536i | 0.00760904 | − | 0.00439308i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.63624 | + | 0.944683i | −0.140306 | + | 0.0810059i | ||||
\(137\) | 4.32107 | − | 2.49477i | 0.369174 | − | 0.213143i | −0.303924 | − | 0.952696i | \(-0.598297\pi\) |
0.673098 | + | 0.739554i | \(0.264963\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.17932 | + | 4.14498i | −0.608942 | + | 0.351573i | −0.772551 | − | 0.634952i | \(-0.781020\pi\) |
0.163609 | + | 0.986525i | \(0.447686\pi\) | |||||||
\(140\) | −5.41257 | − | 3.33526i | −0.457446 | − | 0.281881i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.37644 | −0.451181 | ||||||||
\(143\) | 7.45869 | + | 15.0817i | 0.623727 | + | 1.26119i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.52186 | + | 2.61070i | 0.375520 | + | 0.216807i | ||||
\(146\) | −2.24939 | + | 3.89606i | −0.186161 | + | 0.322440i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −16.2036 | −1.33193 | ||||||||
\(149\) | −19.4729 | + | 11.2427i | −1.59528 | + | 0.921036i | −0.602902 | + | 0.797815i | \(0.705989\pi\) |
−0.992379 | + | 0.123221i | \(0.960678\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.04739 | −0.736266 | −0.368133 | − | 0.929773i | \(-0.620003\pi\) | ||||
−0.368133 | + | 0.929773i | \(0.620003\pi\) | |||||||
\(152\) | −7.09794 | − | 12.2940i | −0.575719 | − | 0.997174i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.90923 | − | 4.25751i | −0.556762 | − | 0.343080i | ||||
\(155\) | − | 5.11748i | − | 0.411046i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 17.9034i | − | 1.42885i | −0.699714 | − | 0.714423i | \(-0.746689\pi\) | ||
0.699714 | − | 0.714423i | \(-0.253311\pi\) | |||||||
\(158\) | −0.613725 | − | 0.354334i | −0.0488254 | − | 0.0281893i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.61652 | − | 4.39740i | 0.602138 | − | 0.347645i | ||||
\(161\) | 15.2986 | + | 0.438445i | 1.20570 | + | 0.0345543i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.90044 | − | 5.02370i | −0.227180 | − | 0.393487i | 0.729791 | − | 0.683670i | \(-0.239617\pi\) |
−0.956971 | + | 0.290183i | \(0.906284\pi\) | |||||||
\(164\) | 13.3876 | 1.04540 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.62212 | + | 2.09123i | 0.281131 | + | 0.162311i | ||||
\(167\) | −6.81599 | + | 11.8056i | −0.527437 | + | 0.913547i | 0.472052 | + | 0.881571i | \(0.343514\pi\) |
−0.999489 | + | 0.0319766i | \(0.989820\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.00207 | + | 11.9991i | 0.384774 | + | 0.923011i | ||||
\(170\) | − | 0.811573i | − | 0.0622448i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.587064 | − | 1.01682i | 0.0447632 | − | 0.0775321i | ||||
\(173\) | 11.1351 | + | 19.2866i | 0.846588 | + | 1.46633i | 0.884235 | + | 0.467042i | \(0.154680\pi\) |
−0.0376475 | + | 0.999291i | \(0.511986\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.17257 | + | 3.33170i | −0.466602 | + | 0.251853i | ||||
\(176\) | −6.44257 | + | 3.71962i | −0.485627 | + | 0.280377i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.726237 | + | 0.419293i | −0.0544338 | + | 0.0314273i | ||||
\(179\) | −2.38132 | − | 1.37486i | −0.177988 | − | 0.102762i | 0.408359 | − | 0.912821i | \(-0.366101\pi\) |
−0.586347 | + | 0.810060i | \(0.699435\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 13.1570i | − | 0.977950i | −0.872298 | − | 0.488975i | \(-0.837371\pi\) | ||
0.872298 | − | 0.488975i | \(-0.162629\pi\) | |||||||
\(182\) | −5.11594 | − | 3.62587i | −0.379219 | − | 0.268767i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.78344 | + | 11.7493i | −0.500081 | + | 0.866167i | ||||
\(185\) | 7.91928 | − | 13.7166i | 0.582237 | − | 1.00846i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.75930i | 0.274907i | ||||||||
\(188\) | −2.67325 | − | 4.63021i | −0.194967 | − | 0.337693i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.09781 | 0.442381 | ||||||||
\(191\) | 7.95723 | − | 4.59411i | 0.575765 | − | 0.332418i | −0.183683 | − | 0.982985i | \(-0.558802\pi\) |
0.759449 | + | 0.650567i | \(0.225469\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.02664 | + | 6.97435i | −0.289844 | + | 0.502025i | −0.973772 | − | 0.227525i | \(-0.926937\pi\) |
0.683928 | + | 0.729549i | \(0.260270\pi\) | |||||||
\(194\) | 7.41340 | 0.532251 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.9574 | − | 0.628576i | −0.782671 | − | 0.0448983i | ||||
\(197\) | −1.75097 | − | 1.01092i | −0.124751 | − | 0.0720251i | 0.436326 | − | 0.899789i | \(-0.356279\pi\) |
−0.561077 | + | 0.827764i | \(0.689613\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.29795 | − | 4.21348i | 0.517338 | − | 0.298685i | −0.218507 | − | 0.975835i | \(-0.570119\pi\) |
0.735845 | + | 0.677150i | \(0.236785\pi\) | |||||||
\(200\) | − | 6.21780i | − | 0.439665i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.64970 | + | 4.99390i | −0.608591 | + | 0.351370i | ||||
\(203\) | 9.01013 | + | 0.258223i | 0.632387 | + | 0.0181237i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.54301 | + | 11.3328i | −0.456983 | + | 0.791518i | ||||
\(206\) | −3.93055 | + | 6.80791i | −0.273854 | + | 0.474329i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.15227 | + | 2.54807i | −0.357246 | + | 0.176677i | ||||
\(209\) | −28.2457 | −1.95380 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.89400 | − | 5.01255i | 0.199231 | − | 0.345078i | −0.749048 | − | 0.662515i | \(-0.769489\pi\) |
0.948279 | + | 0.317437i | \(0.102822\pi\) | |||||||
\(212\) | 4.57582 | − | 2.64185i | 0.314269 | − | 0.181443i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.636870 | + | 1.10309i | 0.0435356 | + | 0.0754058i | ||||
\(215\) | 0.573837 | + | 0.993915i | 0.0391354 | + | 0.0677845i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.19623 | − | 7.77426i | −0.284859 | − | 0.527751i | ||||
\(218\) | −10.6619 | − | 6.15563i | −0.722113 | − | 0.416912i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 11.2134i | − | 0.756009i | ||||||
\(221\) | −0.186689 | + | 2.89861i | −0.0125581 | + | 0.194981i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.2269 | + | 11.6780i | 1.35449 | + | 0.782017i | 0.988875 | − | 0.148747i | \(-0.0475242\pi\) |
0.365619 | + | 0.930765i | \(0.380857\pi\) | |||||||
\(224\) | 7.96490 | − | 12.9257i | 0.532178 | − | 0.863637i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.55054 | 0.635292 | ||||||||
\(227\) | −12.2467 | − | 21.2119i | −0.812840 | − | 1.40788i | −0.910868 | − | 0.412697i | \(-0.864587\pi\) |
0.0980281 | − | 0.995184i | \(-0.468746\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.0063i | 1.52030i | 0.649746 | + | 0.760151i | \(0.274875\pi\) | ||||
−0.649746 | + | 0.760151i | \(0.725125\pi\) | |||||||
\(230\) | −2.91381 | − | 5.04687i | −0.192131 | − | 0.332781i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.99512 | + | 6.91975i | −0.262292 | + | 0.454304i | ||||
\(233\) | 11.5350i | 0.755686i | 0.925870 | + | 0.377843i | \(0.123334\pi\) | ||||
−0.925870 | + | 0.377843i | \(0.876666\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.22605 | 0.340910 | ||||||||
\(236\) | −9.42419 | + | 16.3232i | −0.613462 | + | 1.06255i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.665473 | − | 1.23291i | −0.0431362 | − | 0.0799174i | ||||
\(239\) | 9.13839i | 0.591114i | 0.955325 | + | 0.295557i | \(0.0955051\pi\) | ||||
−0.955325 | + | 0.295557i | \(0.904495\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.29790 | + | 5.36814i | −0.598930 | + | 0.345793i | −0.768621 | − | 0.639705i | \(-0.779057\pi\) |
0.169690 | + | 0.985497i | \(0.445723\pi\) | |||||||
\(242\) | − | 7.08345i | − | 0.455341i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.44201 | + | 4.87399i | 0.540444 | + | 0.312026i | ||||
\(245\) | 5.88736 | − | 8.96838i | 0.376130 | − | 0.572969i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21.7789 | − | 1.40270i | −1.38576 | − | 0.0892518i | ||||
\(248\) | 7.83122 | 0.497283 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.67527 | + | 3.85397i | 0.422181 | + | 0.243747i | ||||
\(251\) | −4.29806 | − | 7.44445i | −0.271291 | − | 0.469890i | 0.697902 | − | 0.716194i | \(-0.254117\pi\) |
−0.969193 | + | 0.246304i | \(0.920784\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.4971 | + | 23.3776i | 0.848555 | + | 1.46974i | ||||
\(254\) | −2.43913 | + | 1.40824i | −0.153045 | + | 0.0883605i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.22974 | + | 7.32612i | 0.264359 | + | 0.457883i | ||||
\(257\) | −9.05891 | + | 15.6905i | −0.565079 | + | 0.978746i | 0.431963 | + | 0.901891i | \(0.357821\pi\) |
−0.997042 | + | 0.0768547i | \(0.975512\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.783294 | − | 27.3313i | 0.0486715 | − | 1.69829i | ||||
\(260\) | 0.556866 | − | 8.64612i | 0.0345354 | − | 0.536209i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.70334 | + | 5.02487i | 0.537694 | + | 0.310438i | ||||
\(263\) | −10.9794 | − | 6.33893i | −0.677016 | − | 0.390875i | 0.121714 | − | 0.992565i | \(-0.461161\pi\) |
−0.798730 | + | 0.601690i | \(0.794494\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.16466i | 0.317263i | ||||||||
\(266\) | 9.26352 | − | 5.00008i | 0.567983 | − | 0.306575i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.242599 | 0.0148191 | ||||||||
\(269\) | 1.13650 | + | 1.96847i | 0.0692934 | + | 0.120020i | 0.898590 | − | 0.438788i | \(-0.144592\pi\) |
−0.829297 | + | 0.558808i | \(0.811259\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.18941 | − | 2.99611i | −0.315234 | − | 0.182000i | 0.334032 | − | 0.942562i | \(-0.391591\pi\) |
−0.649266 | + | 0.760561i | \(0.724924\pi\) | |||||||
\(272\) | −1.28427 | −0.0778702 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.27979 | −0.198139 | ||||||||
\(275\) | −10.7141 | − | 6.18582i | −0.646087 | − | 0.373019i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.9568 | − | 18.9778i | −0.658332 | − | 1.14026i | −0.981047 | − | 0.193769i | \(-0.937929\pi\) |
0.322715 | − | 0.946496i | \(-0.395404\pi\) | |||||||
\(278\) | 5.44926 | 0.326825 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.51705 | + | 8.36862i | 0.269945 | + | 0.500121i | ||||
\(281\) | 24.6150i | 1.46841i | 0.678929 | + | 0.734204i | \(0.262445\pi\) | ||||
−0.678929 | + | 0.734204i | \(0.737555\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.12695 | − | 3.53740i | −0.364210 | − | 0.210276i | 0.306716 | − | 0.951801i | \(-0.400770\pi\) |
−0.670926 | + | 0.741525i | \(0.734103\pi\) | |||||||
\(284\) | −11.1061 | − | 6.41213i | −0.659028 | − | 0.380490i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.710848 | − | 11.0369i | 0.0420333 | − | 0.652626i | ||||
\(287\) | −0.647167 | + | 22.5815i | −0.0382010 | + | 1.33294i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.17551 | − | 14.1604i | 0.480912 | − | 0.832964i | ||||
\(290\) | −1.71609 | − | 2.97236i | −0.100773 | − | 0.174543i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.29316 | + | 5.36541i | −0.543841 | + | 0.313987i | ||||
\(293\) | −7.46327 | − | 12.9268i | −0.436009 | − | 0.755190i | 0.561369 | − | 0.827566i | \(-0.310275\pi\) |
−0.997377 | + | 0.0723764i | \(0.976942\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.21186 | − | 15.9554i | −0.536335 | − | 0.928960i | ||||
\(296\) | 20.9903 | + | 12.1188i | 1.22004 | + | 0.704390i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 14.7803 | 0.856202 | ||||||||
\(299\) | 9.24599 | + | 18.6956i | 0.534710 | + | 1.08120i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.68674 | + | 1.03938i | 0.0972221 | + | 0.0599088i | ||||
\(302\) | 5.15037 | + | 2.97357i | 0.296371 | + | 0.171110i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 9.64943i | − | 0.553433i | ||||||
\(305\) | −8.25181 | + | 4.76418i | −0.472497 | + | 0.272796i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 31.8918i | 1.82016i | 0.414431 | + | 0.910081i | \(0.363981\pi\) | ||||
−0.414431 | + | 0.910081i | \(0.636019\pi\) | |||||||
\(308\) | −9.19478 | − | 17.0349i | −0.523921 | − | 0.970656i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.68194 | + | 2.91321i | −0.0955279 | + | 0.165459i | ||||
\(311\) | 34.8602 | 1.97674 | 0.988369 | − | 0.152075i | \(-0.0485955\pi\) | ||||
0.988369 | + | 0.152075i | \(0.0485955\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.99084i | 0.338622i | 0.985563 | + | 0.169311i | \(0.0541543\pi\) | ||||
−0.985563 | + | 0.169311i | \(0.945846\pi\) | |||||||
\(314\) | −5.88424 | + | 10.1918i | −0.332067 | + | 0.575156i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.845184 | − | 1.46390i | −0.0475453 | − | 0.0823509i | ||||
\(317\) | 10.0010i | 0.561713i | 0.959750 | + | 0.280857i | \(0.0906185\pi\) | ||||
−0.959750 | + | 0.280857i | \(0.909381\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.94914 | + | 13.7683i | 0.445066 | + | 0.770877i | ||||
\(320\) | −0.894634 | −0.0500115 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −8.56486 | − | 5.27772i | −0.477301 | − | 0.294116i | ||||
\(323\) | −4.22289 | − | 2.43809i | −0.234968 | − | 0.135659i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.95396 | − | 5.30165i | −0.441206 | − | 0.294083i | ||||
\(326\) | 3.81310i | 0.211188i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.3425 | − | 10.0127i | −0.957578 | − | 0.552858i | ||||
\(329\) | 7.93919 | − | 4.28525i | 0.437701 | − | 0.236254i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.7954 | − | 20.4302i | −0.648334 | − | 1.12295i | −0.983521 | − | 0.180795i | \(-0.942133\pi\) |
0.335187 | − | 0.942152i | \(-0.391200\pi\) | |||||||
\(332\) | 4.98815 | + | 8.63973i | 0.273760 | + | 0.474167i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.76022 | − | 4.48037i | 0.424620 | − | 0.245155i | ||||
\(335\) | −0.118567 | + | 0.205364i | −0.00647799 | + | 0.0112202i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.60616 | 0.414334 | 0.207167 | − | 0.978306i | \(-0.433576\pi\) | ||||
0.207167 | + | 0.978306i | \(0.433576\pi\) | |||||||
\(338\) | 1.09620 | − | 8.47471i | 0.0596254 | − | 0.460964i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.967910 | − | 1.67647i | 0.0524923 | − | 0.0909193i | ||||
\(341\) | 7.79094 | − | 13.4943i | 0.421903 | − | 0.730758i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.58993 | − | 18.4519i | 0.0858483 | − | 0.996308i | ||||
\(344\) | −1.52098 | + | 0.878137i | −0.0820056 | + | 0.0473460i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 14.6389i | − | 0.786995i | ||||||
\(347\) | 27.4947 | − | 15.8741i | 1.47599 | − | 0.852164i | 0.476358 | − | 0.879251i | \(-0.341957\pi\) |
0.999633 | + | 0.0270873i | \(0.00862323\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.0169 | + | 12.7114i | 1.17854 | + | 0.680428i | 0.955675 | − | 0.294423i | \(-0.0951274\pi\) |
0.222860 | + | 0.974850i | \(0.428461\pi\) | |||||||
\(350\) | 4.60885 | + | 0.132086i | 0.246354 | + | 0.00706030i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 26.7787 | 1.42731 | ||||||||
\(353\) | −13.0905 | + | 22.6734i | −0.696737 | + | 1.20678i | 0.272855 | + | 0.962055i | \(0.412032\pi\) |
−0.969592 | + | 0.244728i | \(0.921301\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.8559 | − | 6.26766i | 0.576172 | − | 0.332653i | ||||
\(356\) | −2.00026 | −0.106013 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.903737 | + | 1.56532i | 0.0477640 | + | 0.0827297i | ||||
\(359\) | − | 29.1909i | − | 1.54064i | −0.637660 | − | 0.770318i | \(-0.720098\pi\) | ||
0.637660 | − | 0.770318i | \(-0.279902\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.81875 | − | 15.2745i | 0.464145 | − | 0.803922i | ||||
\(362\) | −4.32425 | + | 7.48982i | −0.227277 | + | 0.393656i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.24368 | − | 13.5914i | −0.327258 | − | 0.712384i | ||||
\(365\) | − | 10.4891i | − | 0.549022i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.7918 | − | 7.38535i | −0.667727 | − | 0.385512i | 0.127488 | − | 0.991840i | \(-0.459309\pi\) |
−0.795215 | + | 0.606328i | \(0.792642\pi\) | |||||||
\(368\) | −7.98638 | + | 4.61094i | −0.416319 | + | 0.240362i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.01636 | + | 5.20560i | −0.468738 | + | 0.270626i | ||||
\(371\) | 4.23492 | + | 7.84593i | 0.219866 | + | 0.407341i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.82812 | + | 15.2908i | 0.457103 | + | 0.791726i | 0.998806 | − | 0.0488441i | \(-0.0155538\pi\) |
−0.541703 | + | 0.840570i | \(0.682220\pi\) | |||||||
\(374\) | 1.23555 | − | 2.14004i | 0.0638889 | − | 0.110659i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.99736i | 0.412432i | ||||||||
\(377\) | 5.44545 | + | 11.0108i | 0.280455 | + | 0.567087i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.9787 | − | 29.4080i | 0.872139 | − | 1.51059i | 0.0123591 | − | 0.999924i | \(-0.496066\pi\) |
0.859780 | − | 0.510665i | \(-0.170601\pi\) | |||||||
\(380\) | 12.5963 | + | 7.27246i | 0.646175 | + | 0.373069i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.03971 | −0.309019 | ||||||||
\(383\) | −4.76747 | − | 8.25749i | −0.243606 | − | 0.421938i | 0.718133 | − | 0.695906i | \(-0.244997\pi\) |
−0.961739 | + | 0.273968i | \(0.911664\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.9141 | + | 0.542064i | 0.963953 | + | 0.0276261i | ||||
\(386\) | 4.58446 | − | 2.64684i | 0.233343 | − | 0.134721i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 15.3139 | + | 8.84148i | 0.777445 | + | 0.448858i | ||||
\(389\) | 16.8123i | 0.852419i | 0.904624 | + | 0.426210i | \(0.140151\pi\) | ||||
−0.904624 | + | 0.426210i | \(0.859849\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.66012i | 0.235672i | ||||||||
\(392\) | 13.7242 | + | 9.00936i | 0.693177 | + | 0.455041i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.664510 | + | 1.15097i | 0.0334775 | + | 0.0579848i | ||||
\(395\) | 1.65228 | 0.0831354 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.6865 | − | 12.5207i | 1.08841 | − | 0.628396i | 0.155260 | − | 0.987874i | \(-0.450379\pi\) |
0.933154 | + | 0.359478i | \(0.117045\pi\) | |||||||
\(398\) | −5.53930 | −0.277660 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.11323 | − | 3.66022i | 0.105661 | − | 0.183011i | ||||
\(401\) | 22.2709 | + | 12.8581i | 1.11215 | + | 0.642103i | 0.939387 | − | 0.342860i | \(-0.111396\pi\) |
0.172768 | + | 0.984963i | \(0.444729\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.67735 | − | 10.0179i | 0.332622 | − | 0.499027i | ||||
\(404\) | −23.8236 | −1.18527 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.04429 | − | 3.10832i | −0.250344 | − | 0.154263i | ||||
\(407\) | 41.7648 | − | 24.1129i | 2.07020 | − | 1.19523i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.6967 | + | 7.90778i | −0.677257 | + | 0.391015i | −0.798821 | − | 0.601569i | \(-0.794542\pi\) |
0.121564 | + | 0.992584i | \(0.461209\pi\) | |||||||
\(410\) | 7.44942 | − | 4.30093i | 0.367901 | − | 0.212408i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −16.2387 | + | 9.37542i | −0.800023 | + | 0.461894i | ||||
\(413\) | −27.0774 | − | 16.6852i | −1.33239 | − | 0.821027i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.75154 | −0.478684 | ||||||||
\(416\) | 20.6477 | + | 1.32985i | 1.01234 | + | 0.0652012i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 16.0793 | + | 9.28341i | 0.786466 | + | 0.454066i | ||||
\(419\) | 6.98331 | − | 12.0954i | 0.341157 | − | 0.590901i | −0.643491 | − | 0.765454i | \(-0.722515\pi\) |
0.984648 | + | 0.174553i | \(0.0558479\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −25.4862 | −1.24212 | −0.621060 | − | 0.783763i | \(-0.713298\pi\) | ||||
−0.621060 | + | 0.783763i | \(0.713298\pi\) | |||||||
\(422\) | −3.29491 | + | 1.90232i | −0.160394 | + | 0.0926033i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −7.90342 | −0.383824 | ||||||||
\(425\) | −1.06788 | − | 1.84963i | −0.0518000 | − | 0.0897202i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.62926 | + | 14.0039i | −0.417599 | + | 0.677694i | ||||
\(428\) | 3.03822i | 0.146858i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 0.754403i | − | 0.0363806i | ||||||
\(431\) | 28.6504 | + | 16.5413i | 1.38004 | + | 0.796767i | 0.992164 | − | 0.124943i | \(-0.0398749\pi\) |
0.387878 | + | 0.921711i | \(0.373208\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.8289 | + | 7.98414i | −0.664576 | + | 0.383693i | −0.794018 | − | 0.607894i | \(-0.792015\pi\) |
0.129442 | + | 0.991587i | \(0.458681\pi\) | |||||||
\(434\) | −0.166360 | + | 5.80478i | −0.00798555 | + | 0.278638i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −14.6828 | − | 25.4314i | −0.703181 | − | 1.21795i | ||||
\(437\) | −35.0141 | −1.67495 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.2260 | − | 8.79076i | −0.726700 | − | 0.419560i | 0.0905139 | − | 0.995895i | \(-0.471149\pi\) |
−0.817214 | + | 0.576335i | \(0.804482\pi\) | |||||||
\(440\) | −8.38658 | + | 14.5260i | −0.399814 | + | 0.692499i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.05895 | − | 1.58872i | 0.0503691 | − | 0.0755678i | ||||
\(443\) | − | 8.95157i | − | 0.425302i | −0.977128 | − | 0.212651i | \(-0.931790\pi\) | ||
0.977128 | − | 0.212651i | \(-0.0682098\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.977595 | − | 1.69324i | 0.0463424 | − | 0.0802675i | ||||
\(446\) | −7.67633 | − | 13.2958i | −0.363485 | − | 0.629574i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.35909 | + | 0.733582i | −0.0642109 | + | 0.0346585i | ||||
\(449\) | 24.4891 | − | 14.1388i | 1.15571 | − | 0.667251i | 0.205440 | − | 0.978670i | \(-0.434137\pi\) |
0.950273 | + | 0.311418i | \(0.100804\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −34.5066 | + | 19.9224i | −1.62485 | + | 0.938108i | ||||
\(452\) | 19.7286 | + | 11.3903i | 0.927955 | + | 0.535755i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.1003i | 0.755623i | ||||||||
\(455\) | 14.5568 | + | 1.35725i | 0.682435 | + | 0.0636287i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.11023 | − | 1.92297i | 0.0519342 | − | 0.0899526i | −0.838890 | − | 0.544302i | \(-0.816795\pi\) |
0.890824 | + | 0.454349i | \(0.150128\pi\) | |||||||
\(458\) | 7.56140 | − | 13.0967i | 0.353321 | − | 0.611970i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 13.9005i | − | 0.648112i | ||||||
\(461\) | −11.2445 | − | 19.4761i | −0.523710 | − | 0.907092i | −0.999619 | − | 0.0275978i | \(-0.991214\pi\) |
0.475909 | − | 0.879494i | \(-0.342119\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.92299 | −0.414687 | −0.207343 | − | 0.978268i | \(-0.566482\pi\) | ||||
−0.207343 | + | 0.978268i | \(0.566482\pi\) | |||||||
\(464\) | −4.70360 | + | 2.71562i | −0.218359 | + | 0.126070i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.79118 | − | 6.56651i | 0.175623 | − | 0.304188i | ||||
\(467\) | 15.0697 | 0.697345 | 0.348672 | − | 0.937245i | \(-0.386633\pi\) | ||||
0.348672 | + | 0.937245i | \(0.386633\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.0117274 | + | 0.409202i | −0.000541521 | + | 0.0188952i | ||||
\(470\) | −2.97501 | − | 1.71762i | −0.137227 | − | 0.0792281i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 24.4164 | − | 14.0968i | 1.12386 | − | 0.648858i | ||||
\(473\) | 3.49448i | 0.160676i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13.8973 | − | 8.02362i | 0.637652 | − | 0.368149i | ||||
\(476\) | 0.0957357 | − | 3.34049i | 0.00438804 | − | 0.153111i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.00348 | − | 5.20218i | 0.137376 | − | 0.237942i | ||||
\(479\) | 15.2122 | − | 26.3482i | 0.695062 | − | 1.20388i | −0.275098 | − | 0.961416i | \(-0.588710\pi\) |
0.970160 | − | 0.242466i | \(-0.0779563\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 33.4002 | − | 16.5182i | 1.52292 | − | 0.753165i | ||||
\(482\) | 7.05731 | 0.321451 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.44797 | − | 14.6323i | 0.383999 | − | 0.665105i | ||||
\(485\) | −14.9689 | + | 8.64228i | −0.679701 | + | 0.392426i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.43249 | − | 12.8735i | −0.336798 | − | 0.583352i | 0.647030 | − | 0.762464i | \(-0.276011\pi\) |
−0.983829 | + | 0.179112i | \(0.942677\pi\) | |||||||
\(488\) | −7.29058 | − | 12.6276i | −0.330029 | − | 0.571627i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.29907 | + | 3.17042i | −0.284563 | + | 0.143225i | ||||
\(491\) | 1.88709 | + | 1.08951i | 0.0851632 | + | 0.0491690i | 0.541977 | − | 0.840393i | \(-0.317676\pi\) |
−0.456814 | + | 0.889562i | \(0.651009\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.74459i | 0.123610i | ||||||||
\(494\) | 11.9370 | + | 7.95649i | 0.537069 | + | 0.357979i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.60999 | + | 2.66158i | 0.206995 | + | 0.119508i | ||||
\(497\) | 11.3525 | − | 18.4232i | 0.509228 | − | 0.826393i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.8960 | 0.935435 | 0.467717 | − | 0.883878i | \(-0.345077\pi\) | ||||
0.467717 | + | 0.883878i | \(0.345077\pi\) | |||||||
\(500\) | 9.19276 | + | 15.9223i | 0.411113 | + | 0.712068i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.65050i | 0.252194i | ||||||||
\(503\) | −7.19291 | − | 12.4585i | −0.320716 | − | 0.555497i | 0.659920 | − | 0.751336i | \(-0.270590\pi\) |
−0.980636 | + | 0.195839i | \(0.937257\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.6434 | − | 20.1670i | 0.518126 | − | 0.897421i | ||||
\(506\) | − | 17.7441i | − | 0.788823i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.71804 | −0.298065 | ||||||||
\(509\) | −15.5822 | + | 26.9892i | −0.690671 | + | 1.19628i | 0.280947 | + | 0.959723i | \(0.409351\pi\) |
−0.971618 | + | 0.236554i | \(0.923982\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.60082 | − | 15.9345i | −0.380478 | − | 0.704902i | ||||
\(512\) | 16.6260i | 0.734771i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.3139 | − | 5.95471i | 0.454925 | − | 0.262651i | ||||
\(515\) | − | 18.3284i | − | 0.807645i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.7806 | + | 7.95622i | 0.606069 | + | 0.349914i | ||||
\(518\) | −9.42878 | + | 15.3013i | −0.414277 | + | 0.672303i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.18785 | + | 10.7838i | −0.315208 | + | 0.472900i | ||||
\(521\) | −10.7379 | −0.470436 | −0.235218 | − | 0.971943i | \(-0.575580\pi\) | ||||
−0.235218 | + | 0.971943i | \(0.575580\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.8605 | − | 10.3117i | −0.780984 | − | 0.450901i | 0.0557951 | − | 0.998442i | \(-0.482231\pi\) |
−0.836779 | + | 0.547541i | \(0.815564\pi\) | |||||||
\(524\) | 11.9857 | + | 20.7598i | 0.523597 | + | 0.906897i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.16678 | + | 7.21708i | 0.181680 | + | 0.314680i | ||||
\(527\) | 2.32958 | − | 1.34498i | 0.101478 | − | 0.0585884i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.23135 | + | 9.06096i | 0.227450 | + | 0.393955i | ||||
\(530\) | 1.69745 | − | 2.94007i | 0.0737325 | − | 0.127708i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 25.0990 | + | 0.719317i | 1.08818 | + | 0.0311863i | ||||
\(533\) | −27.5957 | + | 13.6475i | −1.19530 | + | 0.591141i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.57189 | − | 1.48488i | −0.111193 | − | 0.0641971i | ||||
\(536\) | −0.314266 | − | 0.181441i | −0.0135742 | − | 0.00783707i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 1.49411i | − | 0.0644157i | ||||||
\(539\) | 29.1780 | − | 14.6857i | 1.25679 | − | 0.632559i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.75429 | 0.333383 | 0.166692 | − | 0.986009i | \(-0.446692\pi\) | ||||
0.166692 | + | 0.986009i | \(0.446692\pi\) | |||||||
\(542\) | 1.96944 | + | 3.41116i | 0.0845945 | + | 0.146522i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.00357 | + | 2.31146i | 0.171652 | + | 0.0991031i | ||||
\(545\) | 28.7041 | 1.22955 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −40.0177 | −1.71104 | −0.855518 | − | 0.517774i | \(-0.826761\pi\) | ||||
−0.855518 | + | 0.517774i | \(0.826761\pi\) | |||||||
\(548\) | −6.77507 | − | 3.91159i | −0.289417 | − | 0.167095i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.06613 | + | 7.04275i | 0.173381 | + | 0.300304i | ||||
\(551\) | −20.6216 | −0.878512 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.51008 | − | 1.35484i | 0.106739 | − | 0.0576136i | ||||
\(554\) | 14.4046i | 0.611991i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.2566 | + | 6.49898i | 0.477384 | + | 0.275618i | ||||
\(557\) | −15.4946 | − | 8.94580i | −0.656527 | − | 0.379046i | 0.134426 | − | 0.990924i | \(-0.457081\pi\) |
−0.790952 | + | 0.611878i | \(0.790414\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.173538 | + | 2.69442i | −0.00733989 | + | 0.113962i | ||||
\(560\) | −0.185182 | + | 6.46153i | −0.00782539 | + | 0.273050i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.09012 | − | 14.0125i | 0.341261 | − | 0.591081i | ||||
\(563\) | −0.714912 | − | 1.23826i | −0.0301299 | − | 0.0521866i | 0.850567 | − | 0.525866i | \(-0.176259\pi\) |
−0.880697 | + | 0.473680i | \(0.842925\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.2841 | + | 11.1337i | −0.811289 | + | 0.468398i | ||||
\(566\) | 2.32524 | + | 4.02744i | 0.0977373 | + | 0.169286i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.59133 | + | 16.6127i | 0.402443 | + | 0.697052i | ||||
\(569\) | 3.54861 | + | 2.04879i | 0.148766 | + | 0.0858899i | 0.572535 | − | 0.819880i | \(-0.305960\pi\) |
−0.423770 | + | 0.905770i | \(0.639293\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −33.4543 | −1.40002 | −0.700010 | − | 0.714133i | \(-0.746821\pi\) | ||||
−0.700010 | + | 0.714133i | \(0.746821\pi\) | |||||||
\(572\) | 14.6314 | − | 21.9512i | 0.611770 | − | 0.917826i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.79017 | − | 12.6422i | 0.325155 | − | 0.527674i | ||||
\(575\) | −13.2815 | − | 7.66810i | −0.553878 | − | 0.319782i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 11.7590i | − | 0.489533i | −0.969582 | − | 0.244767i | \(-0.921289\pi\) | ||
0.969582 | − | 0.244767i | \(-0.0787114\pi\) | |||||||
\(578\) | −9.30808 | + | 5.37402i | −0.387165 | + | 0.223530i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 8.18670i | − | 0.339934i | ||||||
\(581\) | −14.8141 | + | 7.99607i | −0.614593 | + | 0.331733i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.86277 | + | 13.6187i | −0.325643 | + | 0.564030i | ||||
\(584\) | 16.0513 | 0.664207 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.81169i | 0.405317i | ||||||||
\(587\) | −20.4836 | + | 35.4786i | −0.845448 | + | 1.46436i | 0.0397838 | + | 0.999208i | \(0.487333\pi\) |
−0.885232 | + | 0.465150i | \(0.846000\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.1056 | + | 17.5035i | 0.416395 | + | 0.721217i | ||||
\(590\) | 12.1105i | 0.498582i | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 8.23756 | + | 14.2679i | 0.338562 | + | 0.586406i | ||||
\(593\) | −14.1873 | −0.582602 | −0.291301 | − | 0.956631i | \(-0.594088\pi\) | ||||
−0.291301 | + | 0.956631i | \(0.594088\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.78098 | + | 1.71366i | 0.114009 | + | 0.0702530i | ||||
\(596\) | 30.5318 | + | 17.6276i | 1.25063 | + | 0.722053i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.881186 | − | 13.6816i | 0.0360344 | − | 0.559484i | ||||
\(599\) | − | 0.467682i | − | 0.0191090i | −0.999954 | − | 0.00955449i | \(-0.996959\pi\) | ||
0.999954 | − | 0.00955449i | \(-0.00304134\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.69308 | − | 5.01895i | −0.354598 | − | 0.204727i | 0.312110 | − | 0.950046i | \(-0.398964\pi\) |
−0.666709 | + | 0.745318i | \(0.732297\pi\) | |||||||
\(602\) | −0.618596 | − | 1.14606i | −0.0252121 | − | 0.0467098i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.09277 | + | 12.2850i | 0.288601 | + | 0.499871i | ||||
\(605\) | 8.25764 | + | 14.3027i | 0.335721 | + | 0.581486i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.04714 | − | 3.49132i | 0.245446 | − | 0.141708i | −0.372231 | − | 0.928140i | \(-0.621407\pi\) |
0.617677 | + | 0.786432i | \(0.288074\pi\) | |||||||
\(608\) | −17.3673 | + | 30.0811i | −0.704338 | + | 1.21995i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.26330 | 0.253594 | ||||||||
\(611\) | 10.2304 | + | 6.81901i | 0.413879 | + | 0.275868i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.2053 | + | 33.2646i | −0.775695 | + | 1.34354i | 0.158708 | + | 0.987326i | \(0.449267\pi\) |
−0.934403 | + | 0.356217i | \(0.884066\pi\) | |||||||
\(614\) | 10.4818 | − | 18.1549i | 0.423009 | − | 0.732673i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.829514 | + | 28.9441i | −0.0334221 | + | 1.16619i | ||||
\(617\) | −18.8756 | + | 10.8978i | −0.759903 | + | 0.438730i | −0.829261 | − | 0.558862i | \(-0.811238\pi\) |
0.0693582 | + | 0.997592i | \(0.477905\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.9815i | 1.04428i | 0.852859 | + | 0.522142i | \(0.174867\pi\) | ||||
−0.852859 | + | 0.522142i | \(0.825133\pi\) | |||||||
\(620\) | −6.94879 | + | 4.01189i | −0.279070 | + | 0.161121i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −19.8447 | − | 11.4573i | −0.795700 | − | 0.459398i | ||||
\(623\) | 0.0966936 | − | 3.37391i | 0.00387395 | − | 0.135173i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.71547 | −0.188619 | ||||||||
\(626\) | 1.96899 | − | 3.41038i | 0.0786965 | − | 0.136306i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −24.3102 | + | 14.0355i | −0.970082 | + | 0.560077i | ||||
\(629\) | 8.32543 | 0.331956 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.51986 | + | 2.63247i | 0.0605046 | + | 0.104797i | 0.894691 | − | 0.446685i | \(-0.147396\pi\) |
−0.834186 | + | 0.551482i | \(0.814062\pi\) | |||||||
\(632\) | 2.52847i | 0.100577i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.28699 | − | 5.69324i | 0.130543 | − | 0.226108i | ||||
\(635\) | 3.28334 | − | 5.68692i | 0.130296 | − | 0.225678i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 23.2270 | − | 9.87445i | 0.920289 | − | 0.391240i | ||||
\(638\) | − | 10.4504i | − | 0.413737i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14.7237 | − | 8.50076i | −0.582007 | − | 0.336022i | ||||
\(641\) | −19.5650 | + | 11.2959i | −0.772772 | + | 0.446160i | −0.833863 | − | 0.551972i | \(-0.813875\pi\) |
0.0610905 | + | 0.998132i | \(0.480542\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.07238 | − | 1.19649i | 0.0817266 | − | 0.0471849i | −0.458580 | − | 0.888653i | \(-0.651642\pi\) |
0.540306 | + | 0.841468i | \(0.318308\pi\) | |||||||
\(644\) | −11.3981 | − | 21.1170i | −0.449148 | − | 0.832125i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.60263 | + | 2.77584i | 0.0630548 | + | 0.109214i | ||||
\(647\) | −2.94743 | + | 5.10510i | −0.115875 | + | 0.200702i | −0.918129 | − | 0.396281i | \(-0.870301\pi\) |
0.802254 | + | 0.596983i | \(0.203634\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 56.0972i | − | 2.20201i | ||||||
\(650\) | 2.78545 | + | 5.63225i | 0.109254 | + | 0.220915i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.54764 | + | 7.87674i | −0.178099 | + | 0.308477i | ||||
\(653\) | −5.32824 | − | 3.07626i | −0.208510 | − | 0.120383i | 0.392109 | − | 0.919919i | \(-0.371746\pi\) |
−0.600619 | + | 0.799536i | \(0.705079\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.4313 | −0.915536 | ||||||||
\(656\) | −6.80597 | − | 11.7883i | −0.265729 | − | 0.460255i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.92793 | − | 0.169890i | −0.231095 | − | 0.00662299i | ||||
\(659\) | −12.9972 | + | 7.50393i | −0.506298 | + | 0.292312i | −0.731311 | − | 0.682044i | \(-0.761091\pi\) |
0.225012 | + | 0.974356i | \(0.427758\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.33558 | − | 2.50315i | −0.168634 | − | 0.0973611i | 0.413307 | − | 0.910592i | \(-0.364374\pi\) |
−0.581942 | + | 0.813230i | \(0.697707\pi\) | |||||||
\(662\) | 15.5070i | 0.602696i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 14.9227i | − | 0.579112i | ||||||
\(665\) | −12.8757 | + | 20.8951i | −0.499297 | + | 0.810277i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.85396 | + | 17.0676i | 0.381547 | + | 0.660859i | ||||
\(668\) | 21.3738 | 0.826976 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.134992 | − | 0.0779377i | 0.00521520 | − | 0.00301100i | ||||
\(671\) | −29.0123 | −1.12001 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.5458 | + | 33.8543i | −0.753435 | + | 1.30499i | 0.192714 | + | 0.981255i | \(0.438271\pi\) |
−0.946149 | + | 0.323732i | \(0.895062\pi\) | |||||||
\(674\) | −4.32993 | − | 2.49988i | −0.166783 | − | 0.0962920i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.3717 | − | 16.1989i | 0.475833 | − | 0.623034i | ||||
\(677\) | 43.0300 | 1.65378 | 0.826888 | − | 0.562367i | \(-0.190109\pi\) | ||||
0.826888 | + | 0.562367i | \(0.190109\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −15.6536 | + | 25.4032i | −0.600729 | + | 0.974884i | ||||
\(680\) | −2.50768 | + | 1.44781i | −0.0961652 | + | 0.0555210i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.87024 | + | 5.12123i | −0.339659 | + | 0.196102i | ||||
\(683\) | −19.7569 | + | 11.4067i | −0.755979 | + | 0.436464i | −0.827850 | − | 0.560949i | \(-0.810436\pi\) |
0.0718714 | + | 0.997414i | \(0.477103\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.62243 | − | 3.82346i | 0.253030 | − | 0.146087i | ||||
\(686\) | −6.96960 | + | 9.98148i | −0.266101 | + | 0.381095i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.19380 | −0.0455132 | ||||||||
\(689\) | −6.73891 | + | 10.1103i | −0.256732 | + | 0.385170i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.45897 | − | 0.842338i | −0.0555019 | − | 0.0320440i | 0.471992 | − | 0.881603i | \(-0.343535\pi\) |
−0.527494 | + | 0.849559i | \(0.676868\pi\) | |||||||
\(692\) | 17.4589 | − | 30.2397i | 0.663689 | − | 1.14954i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.8690 | −0.792178 | ||||||||
\(695\) | −11.0030 | + | 6.35256i | −0.417366 | + | 0.240966i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.87857 | −0.260544 | ||||||||
\(698\) | −8.35564 | − | 14.4724i | −0.316265 | − | 0.547788i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 9.36300 | + | 5.76953i | 0.353888 | + | 0.218068i | ||||
\(701\) | − | 13.1431i | − | 0.496409i | −0.968708 | − | 0.248205i | \(-0.920160\pi\) | ||
0.968708 | − | 0.248205i | \(-0.0798405\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 62.5536i | 2.35926i | ||||||||
\(704\) | −2.35906 | − | 1.36201i | −0.0889105 | − | 0.0513325i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.9040 | − | 8.60480i | 0.560918 | − | 0.323846i | ||||
\(707\) | 1.15165 | − | 40.1843i | 0.0433122 | − | 1.51129i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.77050 | − | 4.79865i | −0.104048 | − | 0.180217i | 0.809301 | − | 0.587395i | \(-0.199846\pi\) |
−0.913349 | + | 0.407177i | \(0.866513\pi\) | |||||||
\(710\) | −8.23987 | −0.309237 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.59115 | + | 1.49600i | 0.0971075 | + | 0.0560650i | ||||
\(713\) | 9.65786 | − | 16.7279i | 0.361690 | − | 0.626465i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.4311 | + | 23.1140i | 0.427500 | + | 0.864415i | ||||
\(716\) | 4.31132i | 0.161121i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.59405 | + | 16.6174i | −0.358047 | + | 0.620155i | ||||
\(719\) | 6.93490 | + | 12.0116i | 0.258628 | + | 0.447957i | 0.965875 | − | 0.259010i | \(-0.0833962\pi\) |
−0.707247 | + | 0.706967i | \(0.750063\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.0289 | − | 27.8437i | −0.559706 | − | 1.03695i | ||||
\(722\) | −10.0404 | + | 5.79684i | −0.373666 | + | 0.215736i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.8652 | + | 10.3145i | −0.663956 | + | 0.383335i | ||||
\(725\) | −7.82219 | − | 4.51614i | −0.290509 | − | 0.167725i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 9.43866i | − | 0.350061i | −0.984563 | − | 0.175030i | \(-0.943998\pi\) | ||
0.984563 | − | 0.175030i | \(-0.0560023\pi\) | |||||||
\(728\) | −2.07698 | + | 22.2762i | −0.0769780 | + | 0.825609i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.44740 | + | 5.97107i | −0.127594 | + | 0.220999i | ||||
\(731\) | −0.301634 | + | 0.522445i | −0.0111563 | + | 0.0193233i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.8875i | 0.882305i | 0.897432 | + | 0.441152i | \(0.145430\pi\) | ||||
−0.897432 | + | 0.441152i | \(0.854570\pi\) | |||||||
\(734\) | 4.85463 | + | 8.40847i | 0.179188 | + | 0.310362i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.1956 | 1.22361 | ||||||||
\(737\) | −0.625298 | + | 0.361016i | −0.0230332 | + | 0.0132982i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.29471 | + | 10.9028i | −0.231555 | + | 0.401064i | −0.958266 | − | 0.285879i | \(-0.907715\pi\) |
0.726711 | + | 0.686943i | \(0.241048\pi\) | |||||||
\(740\) | −24.8335 | −0.912898 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.167894 | − | 5.85830i | 0.00616359 | − | 0.215065i | ||||
\(743\) | −25.4744 | − | 14.7076i | −0.934564 | − | 0.539571i | −0.0463116 | − | 0.998927i | \(-0.514747\pi\) |
−0.888252 | + | 0.459356i | \(0.848080\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.8440 | + | 17.2304i | −1.09340 | + | 0.631274i | ||||
\(746\) | − | 11.6060i | − | 0.424926i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.10457 | − | 2.94713i | 0.186642 | − | 0.107758i | ||||
\(749\) | −5.12468 | − | 0.146869i | −0.187252 | − | 0.00536649i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.8814 | − | 29.2394i | 0.616011 | − | 1.06696i | −0.374195 | − | 0.927350i | \(-0.622081\pi\) |
0.990206 | − | 0.139612i | \(-0.0445857\pi\) | |||||||
\(752\) | −2.71804 | + | 4.70779i | −0.0991168 | + | 0.171675i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.518976 | − | 8.05783i | 0.0189000 | − | 0.293449i | ||||
\(755\) | −13.8659 | −0.504633 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.61215 | − | 6.25644i | 0.131286 | − | 0.227394i | −0.792887 | − | 0.609369i | \(-0.791423\pi\) |
0.924173 | + | 0.381975i | \(0.124756\pi\) | |||||||
\(758\) | −19.3308 | + | 11.1607i | −0.702128 | + | 0.405374i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.8782 | − | 18.8416i | −0.394595 | − | 0.683458i | ||||
\(761\) | 1.67309 | + | 2.89788i | 0.0606496 | + | 0.105048i | 0.894756 | − | 0.446555i | \(-0.147349\pi\) |
−0.834106 | + | 0.551604i | \(0.814016\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 43.6060 | − | 23.5368i | 1.57864 | − | 0.852089i | ||||
\(764\) | −12.4763 | − | 7.20318i | −0.451375 | − | 0.260602i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.26762i | 0.226458i | ||||||||
\(767\) | 2.78583 | − | 43.2538i | 0.100590 | − | 1.56180i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.93480 | − | 5.73586i | −0.358258 | − | 0.206840i | 0.310058 | − | 0.950718i | \(-0.399651\pi\) |
−0.668316 | + | 0.743877i | \(0.732985\pi\) | |||||||
\(770\) | −10.5890 | − | 6.52501i | −0.381602 | − | 0.235145i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 12.6269 | 0.454451 | ||||||||
\(773\) | −17.5010 | − | 30.3126i | −0.629467 | − | 1.09027i | −0.987659 | − | 0.156621i | \(-0.949940\pi\) |
0.358192 | − | 0.933648i | \(-0.383393\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.85253i | 0.317992i | ||||||||
\(776\) | −13.2252 | − | 22.9067i | −0.474756 | − | 0.822302i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.52564 | − | 9.57069i | 0.198104 | − | 0.343126i | ||||
\(779\) | − | 51.6826i | − | 1.85172i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 38.1680 | 1.36576 | ||||||||
\(782\) | 1.53162 | − | 2.65285i | 0.0547707 | − | 0.0948657i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.01701 | + | 9.96793i | 0.179179 | + | 0.355997i | ||||
\(785\) | − | 27.4386i | − | 0.979324i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.0230 | + | 7.51885i | −0.464221 | + | 0.268018i | −0.713817 | − | 0.700332i | \(-0.753035\pi\) |
0.249596 | + | 0.968350i | \(0.419702\pi\) | |||||||
\(788\) | 3.17007i | 0.112929i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.940589 | − | 0.543049i | −0.0334647 | − | 0.0193208i | ||||
\(791\) | −20.1662 | + | 32.7264i | −0.717027 | + | 1.16362i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −22.3700 | − | 1.44077i | −0.794381 | − | 0.0511633i | ||||
\(794\) | −16.4605 | −0.584162 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.4426 | − | 6.60637i | −0.405571 | − | 0.234157i | ||||
\(797\) | −3.33858 | − | 5.78260i | −0.118259 | − | 0.204830i | 0.800819 | − | 0.598906i | \(-0.204398\pi\) |
−0.919078 | + | 0.394076i | \(0.871065\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.37352 | + | 2.37900i | 0.0485915 | + | 0.0841630i | ||||
\(800\) | −13.1755 | + | 7.60689i | −0.465825 | + | 0.268944i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.45204 | − | 14.6394i | −0.298452 | − | 0.516934i | ||||
\(803\) | 15.9687 | − | 27.6586i | 0.563524 | − | 0.976052i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 23.4465 | + | 0.671957i | 0.826379 | + | 0.0236834i | ||||
\(806\) | −7.09373 | + | 3.50823i | −0.249866 | + | 0.123572i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 30.8614 | + | 17.8178i | 1.08570 | + | 0.626829i | ||||
\(809\) | −23.8895 | − | 13.7926i | −0.839911 | − | 0.484923i | 0.0173231 | − | 0.999850i | \(-0.494486\pi\) |
−0.857234 | + | 0.514927i | \(0.827819\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 16.5527i | − | 0.581245i | −0.956838 | − | 0.290622i | \(-0.906138\pi\) | ||
0.956838 | − | 0.290622i | \(-0.0938623\pi\) | |||||||
\(812\) | −6.71293 | − | 12.4369i | −0.235578 | − | 0.436449i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −31.7004 | −1.11110 | ||||||||
\(815\) | −4.44518 | − | 7.69928i | −0.155708 | − | 0.269694i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.92542 | − | 2.26634i | −0.137333 | − | 0.0792893i | ||||
\(818\) | 10.3961 | 0.363490 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.5177 | 0.716511 | ||||||||
\(821\) | −29.8114 | − | 17.2116i | −1.04043 | − | 0.600690i | −0.120471 | − | 0.992717i | \(-0.538441\pi\) |
−0.919954 | + | 0.392027i | \(0.871774\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.29945 | + | 16.1071i | 0.324158 | + | 0.561459i | 0.981342 | − | 0.192272i | \(-0.0615856\pi\) |
−0.657183 | + | 0.753731i | \(0.728252\pi\) | |||||||
\(824\) | 28.0477 | 0.977088 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 9.93037 | + | 18.3978i | 0.345522 | + | 0.640140i | ||||
\(827\) | 47.4905i | 1.65141i | 0.564104 | + | 0.825704i | \(0.309222\pi\) | ||||
−0.564104 | + | 0.825704i | \(0.690778\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.2885 | + | 23.8379i | 1.43401 | + | 0.827925i | 0.997424 | − | 0.0717376i | \(-0.0228544\pi\) |
0.436585 | + | 0.899663i | \(0.356188\pi\) | |||||||
\(830\) | 5.55122 | + | 3.20500i | 0.192686 | + | 0.111247i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.75132 | − | 1.16733i | −0.0607161 | − | 0.0404698i | ||||
\(833\) | 5.62991 | + | 0.322963i | 0.195065 | + | 0.0111900i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.4461 | + | 18.0932i | −0.361503 | + | 0.626141i | ||||
\(836\) | 22.1434 | + | 38.3536i | 0.765847 | + | 1.32649i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.95072 | + | 4.59035i | −0.274653 | + | 0.158571i | ||||
\(839\) | 24.5733 | + | 42.5621i | 0.848363 | + | 1.46941i | 0.882668 | + | 0.469997i | \(0.155745\pi\) |
−0.0343051 | + | 0.999411i | \(0.510922\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69649 | − | 15.0628i | −0.299879 | − | 0.519406i | ||||
\(842\) | 14.5084 | + | 8.37644i | 0.499993 | + | 0.288671i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −9.07508 | −0.312377 | ||||||||
\(845\) | 7.66612 | + | 18.3898i | 0.263723 | + | 0.632627i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 24.2725 | + | 14.9569i | 0.834015 | + | 0.513924i | ||||
\(848\) | −4.65249 | − | 2.68612i | −0.159767 | − | 0.0922417i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.40391i | 0.0481537i | ||||||||
\(851\) | 51.7727 | − | 29.8910i | 1.77475 | − | 1.02465i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 50.0821i | − | 1.71478i | −0.514668 | − | 0.857390i | \(-0.672085\pi\) | ||
0.514668 | − | 0.857390i | \(-0.327915\pi\) | |||||||
\(854\) | 9.51494 | − | 5.13578i | 0.325594 | − | 0.175743i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.27230 | − | 3.93574i | 0.0776656 | − | 0.134521i | ||||
\(857\) | −1.83000 | −0.0625115 | −0.0312557 | − | 0.999511i | \(-0.509951\pi\) | ||||
−0.0312557 | + | 0.999511i | \(0.509951\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 34.2418i | − | 1.16831i | −0.811641 | − | 0.584157i | \(-0.801425\pi\) | ||
0.811641 | − | 0.584157i | \(-0.198575\pi\) | |||||||
\(860\) | 0.899728 | − | 1.55837i | 0.0306805 | − | 0.0531401i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10.8731 | − | 18.8328i | −0.370341 | − | 0.641449i | ||||
\(863\) | − | 5.86941i | − | 0.199797i | −0.994998 | − | 0.0998985i | \(-0.968148\pi\) | ||
0.994998 | − | 0.0998985i | \(-0.0318518\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 17.0656 | + | 29.5584i | 0.580247 | + | 1.00502i | ||||
\(866\) | 10.4965 | 0.356684 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −7.26664 | + | 11.7926i | −0.246646 | + | 0.400265i | ||||
\(869\) | 4.35691 | + | 2.51547i | 0.147798 | + | 0.0853313i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.500065 | + | 0.247309i | −0.0169441 | + | 0.00837975i | ||||
\(872\) | 43.9255i | 1.48751i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 19.9324 | + | 11.5080i | 0.674222 | + | 0.389262i | ||||
\(875\) | −27.3012 | + | 14.7361i | −0.922950 | + | 0.498172i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.8787 | + | 43.0912i | 0.840095 | + | 1.45509i | 0.889814 | + | 0.456324i | \(0.150834\pi\) |
−0.0497184 | + | 0.998763i | \(0.515832\pi\) | |||||||
\(878\) | 5.77845 | + | 10.0086i | 0.195013 | + | 0.337773i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.87382 | + | 5.70065i | −0.332846 | + | 0.192169i | ||||
\(881\) | 26.1741 | − | 45.3348i | 0.881827 | − | 1.52737i | 0.0325192 | − | 0.999471i | \(-0.489647\pi\) |
0.849308 | − | 0.527898i | \(-0.177020\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −43.2991 | −1.45713 | −0.728566 | − | 0.684976i | \(-0.759813\pi\) | ||||
−0.728566 | + | 0.684976i | \(0.759813\pi\) | |||||||
\(884\) | 4.08224 | − | 2.01889i | 0.137301 | − | 0.0679026i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.94208 | + | 5.09583i | −0.0988410 | + | 0.171198i | ||||
\(887\) | 6.35657 | − | 11.0099i | 0.213433 | − | 0.369677i | −0.739354 | − | 0.673317i | \(-0.764869\pi\) |
0.952787 | + | 0.303641i | \(0.0982022\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.324755 | − | 11.3316i | 0.0108919 | − | 0.380050i | ||||
\(890\) | −1.11302 | + | 0.642604i | −0.0373086 | + | 0.0215401i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 36.6202i | − | 1.22614i | ||||||
\(893\) | −17.8748 | + | 10.3200i | −0.598157 | + | 0.345346i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.64959 | − | 2.10709i | −0.121992 | − | 0.0704323i | ||||
\(896\) | −29.3381 | − | 0.840808i | −0.980118 | − | 0.0280894i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.5878 | −0.620282 | ||||||||
\(899\) | 5.68801 | − | 9.85193i | 0.189706 | − | 0.328580i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.35106 | + | 1.35738i | −0.0783251 | + | 0.0452210i | ||||
\(902\) | 26.1912 | 0.872072 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −17.0378 | − | 29.5103i | −0.566667 | − | 0.981497i | ||||
\(905\) | − | 20.1642i | − | 0.670282i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.2211 | + | 19.4356i | −0.372592 | + | 0.645348i | −0.989963 | − | 0.141324i | \(-0.954864\pi\) |
0.617372 | + | 0.786672i | \(0.288198\pi\) | |||||||
\(908\) | −19.2017 | + | 33.2584i | −0.637232 | + | 1.10372i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −7.84064 | − | 5.55697i | −0.259915 | − | 0.184212i | ||||
\(911\) | − | 50.1307i | − | 1.66090i | −0.557090 | − | 0.830452i | \(-0.688082\pi\) | ||
0.557090 | − | 0.830452i | \(-0.311918\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −25.7139 | − | 14.8459i | −0.851005 | − | 0.491328i | ||||
\(914\) | −1.26403 | + | 0.729787i | −0.0418103 | + | 0.0241392i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 31.2393 | − | 18.0360i | 1.03217 | − | 0.595926i | ||||
\(917\) | −35.5958 | + | 19.2132i | −1.17548 | + | 0.634476i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.152218 | + | 0.263649i | 0.00502120 | + | 0.00869698i | 0.868525 | − | 0.495645i | \(-0.165068\pi\) |
−0.863504 | + | 0.504342i | \(0.831735\pi\) | |||||||
\(920\) | −10.3962 | + | 18.0068i | −0.342753 | + | 0.593666i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.7828i | 0.486845i | ||||||||
\(923\) | 29.4295 | + | 1.89545i | 0.968683 | + | 0.0623895i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.6993 | + | 23.7278i | −0.450429 | + | 0.780166i | ||||
\(926\) | 5.07956 | + | 2.93268i | 0.166925 | + | 0.0963740i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 19.5506 | 0.641780 | ||||||||
\(929\) | −8.93061 | − | 15.4683i | −0.293004 | − | 0.507497i | 0.681515 | − | 0.731804i | \(-0.261322\pi\) |
−0.974519 | + | 0.224307i | \(0.927988\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.42660 | + | 42.3007i | −0.0795287 | + | 1.38635i | ||||
\(932\) | 15.6629 | − | 9.04298i | 0.513055 | − | 0.296213i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.57870 | − | 4.95291i | −0.280704 | − | 0.162064i | ||||
\(935\) | 5.76146i | 0.188420i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.5107i | 1.19275i | 0.802705 | + | 0.596377i | \(0.203394\pi\) | ||||
−0.802705 | + | 0.596377i | \(0.796606\pi\) | |||||||
\(938\) | 0.141167 | − | 0.229090i | 0.00460926 | − | 0.00748007i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.09700 | − | 7.09621i | −0.133629 | − | 0.231453i | ||||
\(941\) | −27.2178 | −0.887274 | −0.443637 | − | 0.896207i | \(-0.646312\pi\) | ||||
−0.443637 | + | 0.896207i | \(0.646312\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −42.7752 | + | 24.6963i | −1.39295 | + | 0.804222i | ||||
\(944\) | 19.1642 | 0.623741 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.14852 | − | 1.98929i | 0.0373415 | − | 0.0646774i | ||||
\(947\) | 9.04632 | + | 5.22289i | 0.293966 | + | 0.169721i | 0.639729 | − | 0.768601i | \(-0.279047\pi\) |
−0.345763 | + | 0.938322i | \(0.612380\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.6862 | − | 20.5332i | 0.444274 | − | 0.666536i | ||||
\(950\) | −10.5484 | −0.342234 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.62239 | + | 4.25570i | −0.0849920 | + | 0.137928i | ||||
\(953\) | 6.21930 | − | 3.59072i | 0.201463 | − | 0.116315i | −0.395875 | − | 0.918305i | \(-0.629559\pi\) |
0.597338 | + | 0.801990i | \(0.296225\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.1952 | − | 7.04089i | 0.394627 | − | 0.227838i | ||||
\(956\) | 12.4086 | − | 7.16411i | 0.401323 | − | 0.231704i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −17.3195 | + | 9.99944i | −0.559569 | + | 0.323067i | ||||
\(959\) | 6.92535 | − | 11.2387i | 0.223631 | − | 0.362916i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.8504 | 0.640334 | ||||||||
\(962\) | −24.4426 | − | 1.57426i | −0.788061 | − | 0.0507562i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.5783 | + | 8.41679i | 0.469536 | + | 0.271087i | ||||
\(965\) | −6.17119 | + | 10.6888i | −0.198658 | + | 0.344085i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 47.5074 | 1.52773 | 0.763867 | − | 0.645374i | \(-0.223298\pi\) | ||||
0.763867 | + | 0.645374i | \(0.223298\pi\) | |||||||
\(968\) | −21.8872 | + | 12.6366i | −0.703481 | + | 0.406155i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.3617 | 0.364802 | ||||||||
\(971\) | 0.815991 | + | 1.41334i | 0.0261864 | + | 0.0453562i | 0.878822 | − | 0.477150i | \(-0.158330\pi\) |
−0.852635 | + | 0.522507i | \(0.824997\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.5062 | + | 18.6727i | −0.368873 | + | 0.598620i | ||||
\(974\) | 9.77123i | 0.313090i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 9.91132i | − | 0.317254i | ||||||
\(977\) | −14.2055 | − | 8.20154i | −0.454474 | − | 0.262391i | 0.255244 | − | 0.966877i | \(-0.417844\pi\) |
−0.709718 | + | 0.704486i | \(0.751178\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.15565 | − | 2.97661i | 0.164775 | − | 0.0951330i | ||||
\(980\) | −16.7932 | − | 0.963350i | −0.536439 | − | 0.0307731i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.716171 | − | 1.24045i | −0.0228539 | − | 0.0395842i | ||||
\(983\) | −41.9338 | −1.33748 | −0.668740 | − | 0.743496i | \(-0.733166\pi\) | ||||
−0.668740 | + | 0.743496i | \(0.733166\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.68351 | − | 1.54933i | −0.0855038 | − | 0.0493656i | ||||
\(986\) | 0.902053 | − | 1.56240i | 0.0287272 | − | 0.0497570i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.1691 | + | 30.6722i | 0.482592 | + | 0.975813i | ||||
\(989\) | 4.33185i | 0.137745i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.4537 | − | 28.4986i | 0.522669 | − | 0.905289i | −0.476983 | − | 0.878912i | \(-0.658270\pi\) |
0.999652 | − | 0.0263763i | \(-0.00839682\pi\) | |||||||
\(992\) | −9.58076 | − | 16.5944i | −0.304189 | − | 0.526872i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −12.5177 | + | 6.75653i | −0.397036 | + | 0.214304i | ||||
\(995\) | 11.1848 | − | 6.45753i | 0.354581 | − | 0.204717i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.44557 | − | 1.98930i | 0.109122 | − | 0.0630018i | −0.444446 | − | 0.895806i | \(-0.646599\pi\) |
0.553568 | + | 0.832804i | \(0.313266\pi\) | |||||||
\(998\) | −11.8954 | − | 6.86781i | −0.376542 | − | 0.217397i | ||||
\(999\) | 0 | 0 |
(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 | 819.2.dx.a.503.16 | yes | 72 | |
3.2 | odd | 2 | inner | 819.2.dx.a.503.21 | yes | 72 | |
7.6 | odd | 2 | inner | 819.2.dx.a.503.15 | ✓ | 72 | |
13.3 | even | 3 | inner | 819.2.dx.a.692.22 | yes | 72 | |
21.20 | even | 2 | inner | 819.2.dx.a.503.22 | yes | 72 | |
39.29 | odd | 6 | inner | 819.2.dx.a.692.15 | yes | 72 | |
91.55 | odd | 6 | inner | 819.2.dx.a.692.21 | yes | 72 | |
273.146 | even | 6 | inner | 819.2.dx.a.692.16 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.dx.a.503.15 | ✓ | 72 | 7.6 | odd | 2 | inner | |
819.2.dx.a.503.16 | yes | 72 | 1.1 | even | 1 | trivial | |
819.2.dx.a.503.21 | yes | 72 | 3.2 | odd | 2 | inner | |
819.2.dx.a.503.22 | yes | 72 | 21.20 | even | 2 | inner | |
819.2.dx.a.692.15 | yes | 72 | 39.29 | odd | 6 | inner | |
819.2.dx.a.692.16 | yes | 72 | 273.146 | even | 6 | inner | |
819.2.dx.a.692.21 | yes | 72 | 91.55 | odd | 6 | inner | |
819.2.dx.a.692.22 | yes | 72 | 13.3 | even | 3 | inner |