Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(76,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bd (of order \(12\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 175.5 | ||
Character | \(\chi\) | \(=\) | 429.175 |
Dual form | 429.2.bd.b.76.5 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19562 | + | 0.320366i | −0.845432 | + | 0.226533i | −0.655435 | − | 0.755252i | \(-0.727515\pi\) |
−0.189997 | + | 0.981785i | \(0.560848\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −0.405173 | + | 0.233927i | −0.202587 | + | 0.116964i | ||||
\(5\) | −2.87074 | + | 2.87074i | −1.28383 | + | 1.28383i | −0.345365 | + | 0.938468i | \(0.612245\pi\) |
−0.938468 | + | 0.345365i | \(0.887755\pi\) | |||||||
\(6\) | −0.320366 | + | 1.19562i | −0.130789 | + | 0.488111i | ||||
\(7\) | 2.15836 | + | 0.578331i | 0.815784 | + | 0.218589i | 0.642502 | − | 0.766284i | \(-0.277896\pi\) |
0.173282 | + | 0.984872i | \(0.444563\pi\) | |||||||
\(8\) | 2.16000 | − | 2.16000i | 0.763677 | − | 0.763677i | ||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 2.51263 | − | 4.35201i | 0.794564 | − | 1.37622i | ||||
\(11\) | −3.00135 | − | 1.41135i | −0.904940 | − | 0.425539i | ||||
\(12\) | 0.467854i | 0.135058i | ||||||||
\(13\) | −1.22385 | + | 3.39149i | −0.339436 | + | 0.940629i | ||||
\(14\) | −2.76586 | −0.739208 | ||||||||
\(15\) | 1.05076 | + | 3.92150i | 0.271306 | + | 1.01253i | ||||
\(16\) | −1.42270 | + | 2.46419i | −0.355676 | + | 0.616048i | ||||
\(17\) | −1.96225 | − | 3.39871i | −0.475915 | − | 0.824309i | 0.523705 | − | 0.851900i | \(-0.324550\pi\) |
−0.999619 | + | 0.0275914i | \(0.991216\pi\) | |||||||
\(18\) | 0.875256 | + | 0.875256i | 0.206300 | + | 0.206300i | ||||
\(19\) | 0.872934 | − | 3.25783i | 0.200265 | − | 0.747398i | −0.790576 | − | 0.612364i | \(-0.790219\pi\) |
0.990841 | − | 0.135035i | \(-0.0431145\pi\) | |||||||
\(20\) | 0.491604 | − | 1.83469i | 0.109926 | − | 0.410249i | ||||
\(21\) | 1.58003 | − | 1.58003i | 0.344791 | − | 0.344791i | ||||
\(22\) | 4.04063 | + | 0.725915i | 0.861464 | + | 0.154766i | ||||
\(23\) | −2.83426 | − | 1.63636i | −0.590984 | − | 0.341205i | 0.174503 | − | 0.984657i | \(-0.444168\pi\) |
−0.765486 | + | 0.643452i | \(0.777502\pi\) | |||||||
\(24\) | −0.790616 | − | 2.95062i | −0.161384 | − | 0.602293i | ||||
\(25\) | − | 11.4823i | − | 2.29646i | ||||||
\(26\) | 0.376748 | − | 4.44702i | 0.0738864 | − | 0.872132i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −1.00980 | + | 0.270575i | −0.190834 | + | 0.0511338i | ||||
\(29\) | −3.17928 | − | 1.83556i | −0.590378 | − | 0.340855i | 0.174869 | − | 0.984592i | \(-0.444050\pi\) |
−0.765247 | + | 0.643737i | \(0.777383\pi\) | |||||||
\(30\) | −2.51263 | − | 4.35201i | −0.458742 | − | 0.794564i | ||||
\(31\) | 1.66735 | − | 1.66735i | 0.299465 | − | 0.299465i | −0.541339 | − | 0.840804i | \(-0.682082\pi\) |
0.840804 | + | 0.541339i | \(0.182082\pi\) | |||||||
\(32\) | −0.669662 | + | 2.49921i | −0.118381 | + | 0.441803i | ||||
\(33\) | −2.72294 | + | 1.89357i | −0.474003 | + | 0.329628i | ||||
\(34\) | 3.43494 | + | 3.43494i | 0.589087 | + | 0.589087i | ||||
\(35\) | −7.85633 | + | 4.53586i | −1.32796 | + | 0.766700i | ||||
\(36\) | 0.405173 | + | 0.233927i | 0.0675289 | + | 0.0389878i | ||||
\(37\) | −8.67054 | + | 2.32326i | −1.42543 | + | 0.381942i | −0.887406 | − | 0.460988i | \(-0.847495\pi\) |
−0.538022 | + | 0.842931i | \(0.680828\pi\) | |||||||
\(38\) | 4.17480i | 0.677241i | ||||||||
\(39\) | 2.32519 | + | 2.75563i | 0.372328 | + | 0.441254i | ||||
\(40\) | 12.4016i | 1.96087i | ||||||||
\(41\) | −2.09872 | + | 0.562351i | −0.327765 | + | 0.0878244i | −0.418949 | − | 0.908010i | \(-0.637602\pi\) |
0.0911841 | + | 0.995834i | \(0.470935\pi\) | |||||||
\(42\) | −1.38293 | + | 2.39531i | −0.213391 | + | 0.369604i | ||||
\(43\) | −5.45123 | − | 9.44180i | −0.831304 | − | 1.43986i | −0.897004 | − | 0.442021i | \(-0.854262\pi\) |
0.0657005 | − | 0.997839i | \(-0.479072\pi\) | |||||||
\(44\) | 1.54622 | − | 0.130253i | 0.233101 | − | 0.0196364i | ||||
\(45\) | 3.92150 | + | 1.05076i | 0.584583 | + | 0.156639i | ||||
\(46\) | 3.91294 | + | 1.04847i | 0.576931 | + | 0.154588i | ||||
\(47\) | 3.31640 | + | 3.31640i | 0.483746 | + | 0.483746i | 0.906326 | − | 0.422579i | \(-0.138875\pi\) |
−0.422579 | + | 0.906326i | \(0.638875\pi\) | |||||||
\(48\) | 1.42270 | + | 2.46419i | 0.205349 | + | 0.355676i | ||||
\(49\) | −1.73812 | − | 1.00350i | −0.248303 | − | 0.143358i | ||||
\(50\) | 3.67853 | + | 13.7285i | 0.520223 | + | 1.94150i | ||||
\(51\) | −3.92449 | −0.549539 | ||||||||
\(52\) | −0.297488 | − | 1.66043i | −0.0412541 | − | 0.230261i | ||||
\(53\) | −5.39540 | −0.741115 | −0.370557 | − | 0.928810i | \(-0.620833\pi\) | ||||
−0.370557 | + | 0.928810i | \(0.620833\pi\) | |||||||
\(54\) | 1.19562 | − | 0.320366i | 0.162704 | − | 0.0435963i | ||||
\(55\) | 12.6677 | − | 4.56446i | 1.70811 | − | 0.615471i | ||||
\(56\) | 5.91127 | − | 3.41287i | 0.789926 | − | 0.456064i | ||||
\(57\) | −2.38490 | − | 2.38490i | −0.315888 | − | 0.315888i | ||||
\(58\) | 4.38927 | + | 1.17610i | 0.576340 | + | 0.154430i | ||||
\(59\) | −0.0211155 | + | 0.0788041i | −0.00274900 | + | 0.0102594i | −0.967287 | − | 0.253686i | \(-0.918357\pi\) |
0.964538 | + | 0.263945i | \(0.0850238\pi\) | |||||||
\(60\) | −1.34309 | − | 1.34309i | −0.173392 | − | 0.173392i | ||||
\(61\) | −2.06440 | + | 1.19188i | −0.264320 | + | 0.152605i | −0.626303 | − | 0.779579i | \(-0.715433\pi\) |
0.361984 | + | 0.932184i | \(0.382100\pi\) | |||||||
\(62\) | −1.45936 | + | 2.52769i | −0.185339 | + | 0.321016i | ||||
\(63\) | −0.578331 | − | 2.15836i | −0.0728629 | − | 0.271928i | ||||
\(64\) | − | 8.89346i | − | 1.11168i | ||||||
\(65\) | −6.22271 | − | 13.2494i | −0.771833 | − | 1.64339i | ||||
\(66\) | 2.64897 | − | 3.13633i | 0.326066 | − | 0.386055i | ||||
\(67\) | 2.69165 | + | 10.0454i | 0.328837 | + | 1.22724i | 0.910398 | + | 0.413734i | \(0.135776\pi\) |
−0.581561 | + | 0.813503i | \(0.697558\pi\) | |||||||
\(68\) | 1.59010 | + | 0.918045i | 0.192828 | + | 0.111329i | ||||
\(69\) | −2.83426 | + | 1.63636i | −0.341205 | + | 0.196995i | ||||
\(70\) | 7.94007 | − | 7.94007i | 0.949020 | − | 0.949020i | ||||
\(71\) | 11.1860 | + | 2.99729i | 1.32754 | + | 0.355713i | 0.851797 | − | 0.523871i | \(-0.175513\pi\) |
0.475742 | + | 0.879585i | \(0.342179\pi\) | |||||||
\(72\) | −2.95062 | − | 0.790616i | −0.347734 | − | 0.0931750i | ||||
\(73\) | 10.1099 | − | 10.1099i | 1.18327 | − | 1.18327i | 0.204383 | − | 0.978891i | \(-0.434481\pi\) |
0.978891 | − | 0.204383i | \(-0.0655187\pi\) | |||||||
\(74\) | 9.62240 | − | 5.55549i | 1.11858 | − | 0.645813i | ||||
\(75\) | −9.94395 | − | 5.74114i | −1.14823 | − | 0.662930i | ||||
\(76\) | 0.408406 | + | 1.52419i | 0.0468473 | + | 0.174837i | ||||
\(77\) | −5.66176 | − | 4.78198i | −0.645218 | − | 0.544958i | ||||
\(78\) | −3.66286 | − | 2.54978i | −0.414737 | − | 0.288706i | ||||
\(79\) | 9.18864i | 1.03380i | 0.856045 | + | 0.516902i | \(0.172915\pi\) | ||||
−0.856045 | + | 0.516902i | \(0.827085\pi\) | |||||||
\(80\) | −2.98985 | − | 11.1583i | −0.334275 | − | 1.24753i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.32912 | − | 1.34472i | 0.257208 | − | 0.148499i | ||||
\(83\) | 4.52047 | + | 4.52047i | 0.496186 | + | 0.496186i | 0.910249 | − | 0.414062i | \(-0.135890\pi\) |
−0.414062 | + | 0.910249i | \(0.635890\pi\) | |||||||
\(84\) | −0.270575 | + | 1.00980i | −0.0295221 | + | 0.110178i | ||||
\(85\) | 15.3899 | + | 4.12371i | 1.66927 | + | 0.447280i | ||||
\(86\) | 9.54243 | + | 9.54243i | 1.02899 | + | 1.02899i | ||||
\(87\) | −3.17928 | + | 1.83556i | −0.340855 | + | 0.196793i | ||||
\(88\) | −9.53145 | + | 3.43439i | −1.01606 | + | 0.366108i | ||||
\(89\) | −15.8394 | + | 4.24415i | −1.67897 | + | 0.449879i | −0.967507 | − | 0.252845i | \(-0.918634\pi\) |
−0.711463 | + | 0.702724i | \(0.751967\pi\) | |||||||
\(90\) | −5.02526 | −0.529709 | ||||||||
\(91\) | −4.60292 | + | 6.61226i | −0.482517 | + | 0.693154i | ||||
\(92\) | 1.53116 | 0.159634 | ||||||||
\(93\) | −0.610293 | − | 2.27765i | −0.0632845 | − | 0.236181i | ||||
\(94\) | −5.02762 | − | 2.90270i | −0.518559 | − | 0.299390i | ||||
\(95\) | 6.84643 | + | 11.8584i | 0.702428 | + | 1.21664i | ||||
\(96\) | 1.82955 | + | 1.82955i | 0.186728 | + | 0.186728i | ||||
\(97\) | −4.63608 | − | 1.24223i | −0.470722 | − | 0.126130i | 0.0156570 | − | 0.999877i | \(-0.495016\pi\) |
−0.486379 | + | 0.873748i | \(0.661683\pi\) | |||||||
\(98\) | 2.39962 | + | 0.642977i | 0.242398 | + | 0.0649504i | ||||
\(99\) | 0.278406 | + | 3.30492i | 0.0279808 | + | 0.332157i | ||||
\(100\) | 2.68602 | + | 4.65232i | 0.268602 | + | 0.465232i | ||||
\(101\) | 5.99600 | − | 10.3854i | 0.596624 | − | 1.03338i | −0.396692 | − | 0.917952i | \(-0.629842\pi\) |
0.993316 | − | 0.115431i | \(-0.0368249\pi\) | |||||||
\(102\) | 4.69221 | − | 1.25727i | 0.464598 | − | 0.124489i | ||||
\(103\) | − | 3.25244i | − | 0.320472i | −0.987079 | − | 0.160236i | \(-0.948774\pi\) | ||
0.987079 | − | 0.160236i | \(-0.0512255\pi\) | |||||||
\(104\) | 4.68210 | + | 9.96915i | 0.459118 | + | 0.977556i | ||||
\(105\) | 9.07171i | 0.885308i | ||||||||
\(106\) | 6.45086 | − | 1.72850i | 0.626562 | − | 0.167887i | ||||
\(107\) | −5.55588 | − | 3.20769i | −0.537107 | − | 0.310099i | 0.206799 | − | 0.978383i | \(-0.433695\pi\) |
−0.743906 | + | 0.668285i | \(0.767029\pi\) | |||||||
\(108\) | 0.405173 | − | 0.233927i | 0.0389878 | − | 0.0225096i | ||||
\(109\) | −0.738065 | − | 0.738065i | −0.0706939 | − | 0.0706939i | 0.670876 | − | 0.741570i | \(-0.265918\pi\) |
−0.741570 | + | 0.670876i | \(0.765918\pi\) | |||||||
\(110\) | −13.6835 | + | 9.51567i | −1.30467 | + | 0.907283i | ||||
\(111\) | −2.32326 | + | 8.67054i | −0.220515 | + | 0.822971i | ||||
\(112\) | −4.49583 | + | 4.49583i | −0.424816 | + | 0.424816i | ||||
\(113\) | 6.58657 | + | 11.4083i | 0.619613 | + | 1.07320i | 0.989556 | + | 0.144146i | \(0.0460436\pi\) |
−0.369944 | + | 0.929054i | \(0.620623\pi\) | |||||||
\(114\) | 3.61548 | + | 2.08740i | 0.338621 | + | 0.195503i | ||||
\(115\) | 12.8340 | − | 3.43886i | 1.19678 | − | 0.320675i | ||||
\(116\) | 1.71755 | 0.159470 | ||||||||
\(117\) | 3.54904 | − | 0.635856i | 0.328109 | − | 0.0587849i | ||||
\(118\) | − | 0.100985i | − | 0.00929638i | ||||||
\(119\) | −2.26966 | − | 8.47048i | −0.208059 | − | 0.776487i | ||||
\(120\) | 10.7401 | + | 6.20081i | 0.980434 | + | 0.566054i | ||||
\(121\) | 7.01617 | + | 8.47192i | 0.637833 | + | 0.770175i | ||||
\(122\) | 2.08641 | − | 2.08641i | 0.188894 | − | 0.188894i | ||||
\(123\) | −0.562351 | + | 2.09872i | −0.0507055 | + | 0.189235i | ||||
\(124\) | −0.285528 | + | 1.06561i | −0.0256412 | + | 0.0956942i | ||||
\(125\) | 18.6089 | + | 18.6089i | 1.66444 | + | 1.66444i | ||||
\(126\) | 1.38293 | + | 2.39531i | 0.123201 | + | 0.213391i | ||||
\(127\) | −1.66088 | + | 2.87672i | −0.147379 | + | 0.255268i | −0.930258 | − | 0.366906i | \(-0.880417\pi\) |
0.782879 | + | 0.622174i | \(0.213750\pi\) | |||||||
\(128\) | 1.50984 | + | 5.63479i | 0.133452 | + | 0.498050i | ||||
\(129\) | −10.9025 | −0.959907 | ||||||||
\(130\) | 11.6847 | + | 13.8478i | 1.02481 | + | 1.21453i | ||||
\(131\) | − | 12.9015i | − | 1.12721i | −0.826046 | − | 0.563603i | \(-0.809415\pi\) | ||
0.826046 | − | 0.563603i | \(-0.190585\pi\) | |||||||
\(132\) | 0.660307 | − | 1.40419i | 0.0574724 | − | 0.122219i | ||||
\(133\) | 3.76821 | − | 6.52674i | 0.326746 | − | 0.565940i | ||||
\(134\) | −6.43639 | − | 11.1481i | −0.556019 | − | 0.963053i | ||||
\(135\) | 2.87074 | − | 2.87074i | 0.247074 | − | 0.247074i | ||||
\(136\) | −11.5797 | − | 3.10277i | −0.992950 | − | 0.266060i | ||||
\(137\) | −0.412718 | + | 1.54028i | −0.0352609 | + | 0.131595i | −0.981313 | − | 0.192420i | \(-0.938366\pi\) |
0.946052 | + | 0.324016i | \(0.105033\pi\) | |||||||
\(138\) | 2.86447 | − | 2.86447i | 0.243840 | − | 0.243840i | ||||
\(139\) | −15.9754 | + | 9.22341i | −1.35502 | + | 0.782319i | −0.988947 | − | 0.148268i | \(-0.952630\pi\) |
−0.366069 | + | 0.930588i | \(0.619297\pi\) | |||||||
\(140\) | 2.12212 | − | 3.67562i | 0.179352 | − | 0.310646i | ||||
\(141\) | 4.53028 | − | 1.21389i | 0.381519 | − | 0.102228i | ||||
\(142\) | −14.3345 | −1.20293 | ||||||||
\(143\) | 8.45979 | − | 8.45174i | 0.707443 | − | 0.706770i | ||||
\(144\) | 2.84540 | 0.237117 | ||||||||
\(145\) | 14.3963 | − | 3.85748i | 1.19555 | − | 0.320346i | ||||
\(146\) | −8.84875 | + | 15.3265i | −0.732327 | + | 1.26843i | ||||
\(147\) | −1.73812 | + | 1.00350i | −0.143358 | + | 0.0827676i | ||||
\(148\) | 2.96960 | − | 2.96960i | 0.244100 | − | 0.244100i | ||||
\(149\) | −3.81646 | + | 14.2432i | −0.312657 | + | 1.16685i | 0.613495 | + | 0.789699i | \(0.289763\pi\) |
−0.926151 | + | 0.377152i | \(0.876903\pi\) | |||||||
\(150\) | 13.7285 | + | 3.67853i | 1.12093 | + | 0.300351i | ||||
\(151\) | −16.8286 | + | 16.8286i | −1.36949 | + | 1.36949i | −0.508333 | + | 0.861161i | \(0.669738\pi\) |
−0.861161 | + | 0.508333i | \(0.830262\pi\) | |||||||
\(152\) | −5.15139 | − | 8.92248i | −0.417833 | − | 0.723708i | ||||
\(153\) | −1.96225 | + | 3.39871i | −0.158638 | + | 0.274770i | ||||
\(154\) | 8.30131 | + | 3.90361i | 0.668939 | + | 0.314562i | ||||
\(155\) | 9.57307i | 0.768927i | ||||||||
\(156\) | −1.58672 | − | 0.572584i | −0.127039 | − | 0.0458434i | ||||
\(157\) | −7.76994 | −0.620109 | −0.310054 | − | 0.950719i | \(-0.600347\pi\) | ||||
−0.310054 | + | 0.950719i | \(0.600347\pi\) | |||||||
\(158\) | −2.94373 | − | 10.9861i | −0.234190 | − | 0.874011i | ||||
\(159\) | −2.69770 | + | 4.67255i | −0.213941 | + | 0.370557i | ||||
\(160\) | −5.25216 | − | 9.09701i | −0.415220 | − | 0.719182i | ||||
\(161\) | −5.17100 | − | 5.17100i | −0.407532 | − | 0.407532i | ||||
\(162\) | 0.320366 | − | 1.19562i | 0.0251703 | − | 0.0939369i | ||||
\(163\) | 0.580557 | − | 2.16667i | 0.0454727 | − | 0.169706i | −0.939455 | − | 0.342672i | \(-0.888668\pi\) |
0.984928 | + | 0.172965i | \(0.0553348\pi\) | |||||||
\(164\) | 0.718797 | − | 0.718797i | 0.0561286 | − | 0.0561286i | ||||
\(165\) | 2.38092 | − | 13.2528i | 0.185354 | − | 1.03173i | ||||
\(166\) | −6.85298 | − | 3.95657i | −0.531894 | − | 0.307089i | ||||
\(167\) | −5.81043 | − | 21.6848i | −0.449624 | − | 1.67802i | −0.703429 | − | 0.710766i | \(-0.748349\pi\) |
0.253805 | − | 0.967256i | \(-0.418318\pi\) | |||||||
\(168\) | − | 6.82574i | − | 0.526618i | ||||||
\(169\) | −10.0044 | − | 8.30136i | −0.769567 | − | 0.638566i | ||||
\(170\) | −19.7216 | −1.51258 | ||||||||
\(171\) | −3.25783 | + | 0.872934i | −0.249133 | + | 0.0667549i | ||||
\(172\) | 4.41738 | + | 2.55038i | 0.336822 | + | 0.194464i | ||||
\(173\) | 6.13625 | + | 10.6283i | 0.466531 | + | 0.808055i | 0.999269 | − | 0.0382251i | \(-0.0121704\pi\) |
−0.532738 | + | 0.846280i | \(0.678837\pi\) | |||||||
\(174\) | 3.21317 | − | 3.21317i | 0.243590 | − | 0.243590i | ||||
\(175\) | 6.64057 | − | 24.7829i | 0.501980 | − | 1.87341i | ||||
\(176\) | 7.74787 | − | 5.38796i | 0.584018 | − | 0.406133i | ||||
\(177\) | 0.0576886 | + | 0.0576886i | 0.00433614 | + | 0.00433614i | ||||
\(178\) | 17.5782 | − | 10.1488i | 1.31754 | − | 0.760684i | ||||
\(179\) | −0.737785 | − | 0.425960i | −0.0551446 | − | 0.0318378i | 0.472174 | − | 0.881505i | \(-0.343469\pi\) |
−0.527319 | + | 0.849667i | \(0.676803\pi\) | |||||||
\(180\) | −1.83469 | + | 0.491604i | −0.136750 | + | 0.0366420i | ||||
\(181\) | 19.0384i | 1.41511i | 0.706656 | + | 0.707557i | \(0.250203\pi\) | ||||
−0.706656 | + | 0.707557i | \(0.749797\pi\) | |||||||
\(182\) | 3.38501 | − | 9.38039i | 0.250913 | − | 0.695320i | ||||
\(183\) | 2.38377i | 0.176213i | ||||||||
\(184\) | −9.65656 | + | 2.58747i | −0.711891 | + | 0.190751i | ||||
\(185\) | 18.2214 | − | 31.5604i | 1.33966 | − | 2.32036i | ||||
\(186\) | 1.45936 | + | 2.52769i | 0.107005 | + | 0.185339i | ||||
\(187\) | 1.09260 | + | 12.9701i | 0.0798990 | + | 0.948470i | ||||
\(188\) | −2.11951 | − | 0.567922i | −0.154581 | − | 0.0414199i | ||||
\(189\) | −2.15836 | − | 0.578331i | −0.156998 | − | 0.0420674i | ||||
\(190\) | −11.9847 | − | 11.9847i | −0.869465 | − | 0.869465i | ||||
\(191\) | 1.40927 | + | 2.44093i | 0.101971 | + | 0.176619i | 0.912497 | − | 0.409084i | \(-0.134152\pi\) |
−0.810525 | + | 0.585703i | \(0.800818\pi\) | |||||||
\(192\) | −7.70196 | − | 4.44673i | −0.555841 | − | 0.320915i | ||||
\(193\) | −3.34419 | − | 12.4807i | −0.240720 | − | 0.898379i | −0.975487 | − | 0.220059i | \(-0.929375\pi\) |
0.734767 | − | 0.678320i | \(-0.237292\pi\) | |||||||
\(194\) | 5.94097 | 0.426536 | ||||||||
\(195\) | −14.5857 | − | 1.23569i | −1.04450 | − | 0.0884896i | ||||
\(196\) | 0.938986 | 0.0670704 | ||||||||
\(197\) | −12.4413 | + | 3.33364i | −0.886407 | + | 0.237512i | −0.673169 | − | 0.739488i | \(-0.735067\pi\) |
−0.213238 | + | 0.977000i | \(0.568401\pi\) | |||||||
\(198\) | −1.39165 | − | 3.86224i | −0.0989004 | − | 0.274478i | ||||
\(199\) | −15.7183 | + | 9.07499i | −1.11424 | + | 0.643309i | −0.939925 | − | 0.341381i | \(-0.889106\pi\) |
−0.174318 | + | 0.984689i | \(0.555772\pi\) | |||||||
\(200\) | −24.8018 | − | 24.8018i | −1.75375 | − | 1.75375i | ||||
\(201\) | 10.0454 | + | 2.69165i | 0.708546 | + | 0.189854i | ||||
\(202\) | −3.84182 | + | 14.3379i | −0.270310 | + | 1.00881i | ||||
\(203\) | −5.80048 | − | 5.80048i | −0.407114 | − | 0.407114i | ||||
\(204\) | 1.59010 | − | 0.918045i | 0.111329 | − | 0.0642760i | ||||
\(205\) | 4.41052 | − | 7.63924i | 0.308044 | − | 0.533548i | ||||
\(206\) | 1.04197 | + | 3.88868i | 0.0725975 | + | 0.270937i | ||||
\(207\) | 3.27272i | 0.227470i | ||||||||
\(208\) | −6.61610 | − | 7.84088i | −0.458744 | − | 0.543668i | ||||
\(209\) | −7.21793 | + | 8.54587i | −0.499275 | + | 0.591130i | ||||
\(210\) | −2.90627 | − | 10.8463i | −0.200551 | − | 0.748468i | ||||
\(211\) | −17.3342 | − | 10.0079i | −1.19334 | − | 0.688974i | −0.234276 | − | 0.972170i | \(-0.575272\pi\) |
−0.959062 | + | 0.283196i | \(0.908605\pi\) | |||||||
\(212\) | 2.18607 | − | 1.26213i | 0.150140 | − | 0.0866834i | ||||
\(213\) | 8.18876 | − | 8.18876i | 0.561084 | − | 0.561084i | ||||
\(214\) | 7.67036 | + | 2.05527i | 0.524335 | + | 0.140495i | ||||
\(215\) | 42.7540 | + | 11.4559i | 2.91580 | + | 0.781286i | ||||
\(216\) | −2.16000 | + | 2.16000i | −0.146970 | + | 0.146970i | ||||
\(217\) | 4.56303 | − | 2.63447i | 0.309759 | − | 0.178839i | ||||
\(218\) | 1.11890 | + | 0.645996i | 0.0757814 | + | 0.0437524i | ||||
\(219\) | −3.70048 | − | 13.8104i | −0.250055 | − | 0.933219i | ||||
\(220\) | −4.06487 | + | 4.81272i | −0.274053 | + | 0.324473i | ||||
\(221\) | 13.9282 | − | 2.49541i | 0.936911 | − | 0.167860i | ||||
\(222\) | − | 11.1110i | − | 0.745720i | ||||||
\(223\) | −1.44205 | − | 5.38182i | −0.0965671 | − | 0.360393i | 0.900685 | − | 0.434472i | \(-0.143065\pi\) |
−0.997252 | + | 0.0740788i | \(0.976398\pi\) | |||||||
\(224\) | −2.89075 | + | 5.00692i | −0.193146 | + | 0.334539i | ||||
\(225\) | −9.94395 | + | 5.74114i | −0.662930 | + | 0.382743i | ||||
\(226\) | −11.5299 | − | 11.5299i | −0.766956 | − | 0.766956i | ||||
\(227\) | −0.131308 | + | 0.490047i | −0.00871521 | + | 0.0325256i | −0.970147 | − | 0.242520i | \(-0.922026\pi\) |
0.961431 | + | 0.275045i | \(0.0886928\pi\) | |||||||
\(228\) | 1.52419 | + | 0.408406i | 0.100942 | + | 0.0270473i | ||||
\(229\) | −9.17189 | − | 9.17189i | −0.606096 | − | 0.606096i | 0.335828 | − | 0.941923i | \(-0.390984\pi\) |
−0.941923 | + | 0.335828i | \(0.890984\pi\) | |||||||
\(230\) | −14.2429 | + | 8.22314i | −0.939149 | + | 0.542218i | ||||
\(231\) | −6.97220 | + | 2.51224i | −0.458737 | + | 0.165293i | ||||
\(232\) | −10.8321 | + | 2.90245i | −0.711161 | + | 0.190555i | ||||
\(233\) | 28.3075 | 1.85448 | 0.927242 | − | 0.374462i | \(-0.122173\pi\) | ||||
0.927242 | + | 0.374462i | \(0.122173\pi\) | |||||||
\(234\) | −4.03960 | + | 1.89723i | −0.264077 | + | 0.124026i | ||||
\(235\) | −19.0410 | −1.24210 | ||||||||
\(236\) | −0.00987897 | − | 0.0368688i | −0.000643066 | − | 0.00239995i | ||||
\(237\) | 7.95760 | + | 4.59432i | 0.516902 | + | 0.298433i | ||||
\(238\) | 5.42730 | + | 9.40037i | 0.351800 | + | 0.609335i | ||||
\(239\) | 13.8092 | + | 13.8092i | 0.893241 | + | 0.893241i | 0.994827 | − | 0.101586i | \(-0.0323915\pi\) |
−0.101586 | + | 0.994827i | \(0.532392\pi\) | |||||||
\(240\) | −11.1583 | − | 2.98985i | −0.720263 | − | 0.192994i | ||||
\(241\) | 1.48430 | + | 0.397717i | 0.0956121 | + | 0.0256192i | 0.306308 | − | 0.951932i | \(-0.400906\pi\) |
−0.210696 | + | 0.977552i | \(0.567573\pi\) | |||||||
\(242\) | −11.1028 | − | 7.88147i | −0.713715 | − | 0.506640i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 0.557628 | − | 0.965839i | 0.0356984 | − | 0.0618315i | ||||
\(245\) | 7.87048 | − | 2.10889i | 0.502827 | − | 0.134732i | ||||
\(246\) | − | 2.68944i | − | 0.171472i | ||||||
\(247\) | 9.98056 | + | 6.94765i | 0.635048 | + | 0.442069i | ||||
\(248\) | − | 7.20298i | − | 0.457389i | ||||||
\(249\) | 6.17508 | − | 1.65461i | 0.391330 | − | 0.104856i | ||||
\(250\) | −28.2109 | − | 16.2876i | −1.78422 | − | 1.03012i | ||||
\(251\) | −9.69326 | + | 5.59640i | −0.611833 | + | 0.353242i | −0.773683 | − | 0.633574i | \(-0.781587\pi\) |
0.161850 | + | 0.986815i | \(0.448254\pi\) | |||||||
\(252\) | 0.739224 | + | 0.739224i | 0.0465667 | + | 0.0465667i | ||||
\(253\) | 6.19711 | + | 8.91143i | 0.389609 | + | 0.560257i | ||||
\(254\) | 1.06418 | − | 3.97156i | 0.0667724 | − | 0.249198i | ||||
\(255\) | 11.2662 | − | 11.2662i | 0.705517 | − | 0.705517i | ||||
\(256\) | 5.28307 | + | 9.15055i | 0.330192 | + | 0.571909i | ||||
\(257\) | 17.3300 | + | 10.0055i | 1.08102 | + | 0.624126i | 0.931171 | − | 0.364583i | \(-0.118789\pi\) |
0.149847 | + | 0.988709i | \(0.452122\pi\) | |||||||
\(258\) | 13.0352 | − | 3.49277i | 0.811537 | − | 0.217451i | ||||
\(259\) | −20.0578 | −1.24633 | ||||||||
\(260\) | 5.62068 | + | 3.91266i | 0.348580 | + | 0.242653i | ||||
\(261\) | 3.67112i | 0.227237i | ||||||||
\(262\) | 4.13319 | + | 15.4253i | 0.255349 | + | 0.952977i | ||||
\(263\) | −9.53801 | − | 5.50677i | −0.588139 | − | 0.339562i | 0.176222 | − | 0.984350i | \(-0.443612\pi\) |
−0.764361 | + | 0.644788i | \(0.776946\pi\) | |||||||
\(264\) | −1.79145 | + | 9.97167i | −0.110256 | + | 0.613714i | ||||
\(265\) | 15.4888 | − | 15.4888i | 0.951468 | − | 0.951468i | ||||
\(266\) | −2.41442 | + | 9.01072i | −0.148037 | + | 0.552483i | ||||
\(267\) | −4.24415 | + | 15.8394i | −0.259738 | + | 0.969354i | ||||
\(268\) | −3.44047 | − | 3.44047i | −0.210160 | − | 0.210160i | ||||
\(269\) | −5.73177 | − | 9.92772i | −0.349472 | − | 0.605304i | 0.636683 | − | 0.771125i | \(-0.280306\pi\) |
−0.986156 | + | 0.165821i | \(0.946973\pi\) | |||||||
\(270\) | −2.51263 | + | 4.35201i | −0.152914 | + | 0.264855i | ||||
\(271\) | −2.51105 | − | 9.37136i | −0.152535 | − | 0.569269i | −0.999304 | − | 0.0373079i | \(-0.988122\pi\) |
0.846769 | − | 0.531961i | \(-0.178545\pi\) | |||||||
\(272\) | 11.1668 | 0.677085 | ||||||||
\(273\) | 3.42493 | + | 7.29238i | 0.207286 | + | 0.441355i | ||||
\(274\) | − | 1.97382i | − | 0.119243i | ||||||
\(275\) | −16.2056 | + | 34.4623i | −0.977232 | + | 2.07816i | ||||
\(276\) | 0.765578 | − | 1.32602i | 0.0460824 | − | 0.0798170i | ||||
\(277\) | −3.63249 | − | 6.29165i | −0.218255 | − | 0.378029i | 0.736020 | − | 0.676960i | \(-0.236703\pi\) |
−0.954275 | + | 0.298932i | \(0.903370\pi\) | |||||||
\(278\) | 16.1457 | − | 16.1457i | 0.968354 | − | 0.968354i | ||||
\(279\) | −2.27765 | − | 0.610293i | −0.136359 | − | 0.0365373i | ||||
\(280\) | −7.17224 | + | 26.7672i | −0.428623 | + | 1.59964i | ||||
\(281\) | −4.42582 | + | 4.42582i | −0.264022 | + | 0.264022i | −0.826686 | − | 0.562664i | \(-0.809777\pi\) |
0.562664 | + | 0.826686i | \(0.309777\pi\) | |||||||
\(282\) | −5.02762 | + | 2.90270i | −0.299390 | + | 0.172853i | ||||
\(283\) | 3.67452 | − | 6.36445i | 0.218427 | − | 0.378327i | −0.735900 | − | 0.677090i | \(-0.763241\pi\) |
0.954327 | + | 0.298763i | \(0.0965740\pi\) | |||||||
\(284\) | −5.23344 | + | 1.40230i | −0.310547 | + | 0.0832109i | ||||
\(285\) | 13.6929 | 0.811095 | ||||||||
\(286\) | −7.40706 | + | 12.8153i | −0.437989 | + | 0.757785i | ||||
\(287\) | −4.85503 | −0.286583 | ||||||||
\(288\) | 2.49921 | − | 0.669662i | 0.147268 | − | 0.0394602i | ||||
\(289\) | 0.799174 | − | 1.38421i | 0.0470102 | − | 0.0814241i | ||||
\(290\) | −15.9767 | + | 9.22418i | −0.938187 | + | 0.541662i | ||||
\(291\) | −3.39384 | + | 3.39384i | −0.198951 | + | 0.198951i | ||||
\(292\) | −1.73128 | + | 6.46124i | −0.101316 | + | 0.378115i | ||||
\(293\) | −8.50551 | − | 2.27904i | −0.496897 | − | 0.133143i | 0.00166243 | − | 0.999999i | \(-0.499471\pi\) |
−0.498560 | + | 0.866855i | \(0.666137\pi\) | |||||||
\(294\) | 1.75664 | − | 1.75664i | 0.102450 | − | 0.102450i | ||||
\(295\) | −0.165609 | − | 0.286843i | −0.00964212 | − | 0.0167006i | ||||
\(296\) | −13.7101 | + | 23.7467i | −0.796886 | + | 1.38025i | ||||
\(297\) | 3.00135 | + | 1.41135i | 0.174156 | + | 0.0818950i | ||||
\(298\) | − | 18.2522i | − | 1.05732i | ||||||
\(299\) | 9.01841 | − | 7.60969i | 0.521548 | − | 0.440080i | ||||
\(300\) | 5.37203 | 0.310155 | ||||||||
\(301\) | −6.30523 | − | 23.5314i | −0.363427 | − | 1.35633i | ||||
\(302\) | 14.7293 | − | 25.5120i | 0.847579 | − | 1.46805i | ||||
\(303\) | −5.99600 | − | 10.3854i | −0.344461 | − | 0.596624i | ||||
\(304\) | 6.78601 | + | 6.78601i | 0.389204 | + | 0.389204i | ||||
\(305\) | 2.50478 | − | 9.34795i | 0.143423 | − | 0.535262i | ||||
\(306\) | 1.25727 | − | 4.69221i | 0.0718736 | − | 0.268236i | ||||
\(307\) | 3.35570 | − | 3.35570i | 0.191520 | − | 0.191520i | −0.604833 | − | 0.796353i | \(-0.706760\pi\) |
0.796353 | + | 0.604833i | \(0.206760\pi\) | |||||||
\(308\) | 3.41263 | + | 0.613094i | 0.194453 | + | 0.0349342i | ||||
\(309\) | −2.81669 | − | 1.62622i | −0.160236 | − | 0.0925123i | ||||
\(310\) | −3.06688 | − | 11.4458i | −0.174187 | − | 0.650076i | ||||
\(311\) | − | 28.4281i | − | 1.61201i | −0.591911 | − | 0.806004i | \(-0.701626\pi\) | ||
0.591911 | − | 0.806004i | \(-0.298374\pi\) | |||||||
\(312\) | 10.9746 | + | 0.929759i | 0.621314 | + | 0.0526373i | ||||
\(313\) | 5.44502 | 0.307771 | 0.153885 | − | 0.988089i | \(-0.450821\pi\) | ||||
0.153885 | + | 0.988089i | \(0.450821\pi\) | |||||||
\(314\) | 9.28991 | − | 2.48922i | 0.524260 | − | 0.140475i | ||||
\(315\) | 7.85633 | + | 4.53586i | 0.442654 | + | 0.255567i | ||||
\(316\) | −2.14947 | − | 3.72300i | −0.120917 | − | 0.209435i | ||||
\(317\) | −15.5021 | + | 15.5021i | −0.870687 | + | 0.870687i | −0.992547 | − | 0.121861i | \(-0.961114\pi\) |
0.121861 | + | 0.992547i | \(0.461114\pi\) | |||||||
\(318\) | 1.72850 | − | 6.45086i | 0.0969296 | − | 0.361746i | ||||
\(319\) | 6.95151 | + | 9.99625i | 0.389210 | + | 0.559682i | ||||
\(320\) | 25.5308 | + | 25.5308i | 1.42722 | + | 1.42722i | ||||
\(321\) | −5.55588 | + | 3.20769i | −0.310099 | + | 0.179036i | ||||
\(322\) | 7.83917 | + | 4.52595i | 0.436860 | + | 0.252221i | ||||
\(323\) | −12.7853 | + | 3.42582i | −0.711396 | + | 0.190618i | ||||
\(324\) | − | 0.467854i | − | 0.0259919i | ||||||
\(325\) | 38.9420 | + | 14.0526i | 2.16011 | + | 0.779499i | ||||
\(326\) | 2.77650i | 0.153776i | ||||||||
\(327\) | −1.00822 | + | 0.270151i | −0.0557545 | + | 0.0149394i | ||||
\(328\) | −3.31857 | + | 5.74793i | −0.183237 | + | 0.317376i | ||||
\(329\) | 5.24001 | + | 9.07597i | 0.288891 | + | 0.500374i | ||||
\(330\) | 1.39906 | + | 16.6081i | 0.0770159 | + | 0.914245i | ||||
\(331\) | 18.6303 | + | 4.99196i | 1.02401 | + | 0.274383i | 0.731473 | − | 0.681871i | \(-0.238833\pi\) |
0.292539 | + | 0.956254i | \(0.405500\pi\) | |||||||
\(332\) | −2.88904 | − | 0.774115i | −0.158556 | − | 0.0424851i | ||||
\(333\) | 6.34728 | + | 6.34728i | 0.347829 | + | 0.347829i | ||||
\(334\) | 13.8941 | + | 24.0654i | 0.760254 | + | 1.31680i | ||||
\(335\) | −36.5646 | − | 21.1106i | −1.99774 | − | 1.15340i | ||||
\(336\) | 1.64559 | + | 6.14141i | 0.0897741 | + | 0.335042i | ||||
\(337\) | −10.2756 | −0.559750 | −0.279875 | − | 0.960037i | \(-0.590293\pi\) | ||||
−0.279875 | + | 0.960037i | \(0.590293\pi\) | |||||||
\(338\) | 14.6209 | + | 6.72023i | 0.795273 | + | 0.365532i | ||||
\(339\) | 13.1731 | 0.715467 | ||||||||
\(340\) | −7.20023 | + | 1.92930i | −0.390487 | + | 0.104631i | ||||
\(341\) | −7.35753 | + | 2.65108i | −0.398432 | + | 0.143564i | ||||
\(342\) | 3.61548 | − | 2.08740i | 0.195503 | − | 0.112874i | ||||
\(343\) | −14.2313 | − | 14.2313i | −0.768420 | − | 0.768420i | ||||
\(344\) | −32.1690 | − | 8.61965i | −1.73444 | − | 0.464741i | ||||
\(345\) | 3.43886 | − | 12.8340i | 0.185142 | − | 0.690958i | ||||
\(346\) | −10.7416 | − | 10.7416i | −0.577471 | − | 0.577471i | ||||
\(347\) | 13.2733 | − | 7.66336i | 0.712549 | − | 0.411391i | −0.0994550 | − | 0.995042i | \(-0.531710\pi\) |
0.812004 | + | 0.583652i | \(0.198377\pi\) | |||||||
\(348\) | 0.858775 | − | 1.48744i | 0.0460351 | − | 0.0797352i | ||||
\(349\) | 6.42431 | + | 23.9758i | 0.343885 | + | 1.28340i | 0.893909 | + | 0.448248i | \(0.147952\pi\) |
−0.550024 | + | 0.835149i | \(0.685381\pi\) | |||||||
\(350\) | 31.7584i | 1.69756i | ||||||||
\(351\) | 1.22385 | − | 3.39149i | 0.0653244 | − | 0.181024i | ||||
\(352\) | 5.53716 | − | 6.55587i | 0.295132 | − | 0.349429i | ||||
\(353\) | −4.33238 | − | 16.1687i | −0.230589 | − | 0.860571i | −0.980088 | − | 0.198565i | \(-0.936372\pi\) |
0.749499 | − | 0.662006i | \(-0.230295\pi\) | |||||||
\(354\) | −0.0874552 | − | 0.0504923i | −0.00464819 | − | 0.00268363i | ||||
\(355\) | −40.7167 | + | 23.5078i | −2.16102 | + | 1.24766i | ||||
\(356\) | 5.42487 | − | 5.42487i | 0.287518 | − | 0.287518i | ||||
\(357\) | −8.47048 | − | 2.26966i | −0.448305 | − | 0.120123i | ||||
\(358\) | 1.01858 | + | 0.272926i | 0.0538334 | + | 0.0144246i | ||||
\(359\) | −1.16120 | + | 1.16120i | −0.0612860 | + | 0.0612860i | −0.737086 | − | 0.675799i | \(-0.763799\pi\) |
0.675799 | + | 0.737086i | \(0.263799\pi\) | |||||||
\(360\) | 10.7401 | − | 6.20081i | 0.566054 | − | 0.326811i | ||||
\(361\) | 6.60301 | + | 3.81225i | 0.347527 | + | 0.200645i | ||||
\(362\) | −6.09926 | − | 22.7627i | −0.320570 | − | 1.19638i | ||||
\(363\) | 10.8450 | − | 1.84022i | 0.569214 | − | 0.0965864i | ||||
\(364\) | 0.318194 | − | 3.75586i | 0.0166779 | − | 0.196861i | ||||
\(365\) | 58.0457i | 3.03825i | ||||||||
\(366\) | −0.763678 | − | 2.85008i | −0.0399181 | − | 0.148976i | ||||
\(367\) | 2.73236 | − | 4.73258i | 0.142628 | − | 0.247039i | −0.785858 | − | 0.618408i | \(-0.787778\pi\) |
0.928485 | + | 0.371369i | \(0.121111\pi\) | |||||||
\(368\) | 8.06461 | − | 4.65611i | 0.420397 | − | 0.242716i | ||||
\(369\) | 1.53637 | + | 1.53637i | 0.0799803 | + | 0.0799803i | ||||
\(370\) | −11.6750 | + | 43.5718i | −0.606955 | + | 2.26519i | ||||
\(371\) | −11.6452 | − | 3.12033i | −0.604590 | − | 0.161999i | ||||
\(372\) | 0.780078 | + | 0.780078i | 0.0404451 | + | 0.0404451i | ||||
\(373\) | 23.8570 | − | 13.7739i | 1.23527 | − | 0.713183i | 0.267146 | − | 0.963656i | \(-0.413919\pi\) |
0.968124 | + | 0.250473i | \(0.0805861\pi\) | |||||||
\(374\) | −5.46153 | − | 15.1573i | −0.282409 | − | 0.783768i | ||||
\(375\) | 25.4203 | − | 6.81135i | 1.31270 | − | 0.351737i | ||||
\(376\) | 14.3269 | 0.738852 | ||||||||
\(377\) | 10.1163 | − | 8.53605i | 0.521014 | − | 0.439629i | ||||
\(378\) | 2.76586 | 0.142261 | ||||||||
\(379\) | 7.88764 | + | 29.4371i | 0.405161 | + | 1.51208i | 0.803759 | + | 0.594955i | \(0.202830\pi\) |
−0.398599 | + | 0.917125i | \(0.630503\pi\) | |||||||
\(380\) | −5.54798 | − | 3.20313i | −0.284605 | − | 0.164317i | ||||
\(381\) | 1.66088 | + | 2.87672i | 0.0850893 | + | 0.147379i | ||||
\(382\) | −2.46695 | − | 2.46695i | −0.126220 | − | 0.126220i | ||||
\(383\) | −10.5630 | − | 2.83034i | −0.539743 | − | 0.144624i | −0.0213593 | − | 0.999772i | \(-0.506799\pi\) |
−0.518384 | + | 0.855148i | \(0.673466\pi\) | |||||||
\(384\) | 5.63479 | + | 1.50984i | 0.287549 | + | 0.0770486i | ||||
\(385\) | 29.9813 | − | 2.52562i | 1.52799 | − | 0.128717i | ||||
\(386\) | 7.99677 | + | 13.8508i | 0.407025 | + | 0.704988i | ||||
\(387\) | −5.45123 | + | 9.44180i | −0.277101 | + | 0.479954i | ||||
\(388\) | 2.16901 | − | 0.581184i | 0.110115 | − | 0.0295051i | ||||
\(389\) | − | 25.5029i | − | 1.29305i | −0.762895 | − | 0.646523i | \(-0.776222\pi\) | ||
0.762895 | − | 0.646523i | \(-0.223778\pi\) | |||||||
\(390\) | 17.8349 | − | 3.19534i | 0.903103 | − | 0.161803i | ||||
\(391\) | 12.8438i | 0.649538i | ||||||||
\(392\) | −5.92191 | + | 1.58677i | −0.299102 | + | 0.0801441i | ||||
\(393\) | −11.1730 | − | 6.45073i | −0.563603 | − | 0.325396i | ||||
\(394\) | 13.8071 | − | 7.97155i | 0.695593 | − | 0.401601i | ||||
\(395\) | −26.3782 | − | 26.3782i | −1.32723 | − | 1.32723i | ||||
\(396\) | −0.885913 | − | 1.27394i | −0.0445188 | − | 0.0640178i | ||||
\(397\) | 0.244082 | − | 0.910927i | 0.0122501 | − | 0.0457181i | −0.959530 | − | 0.281606i | \(-0.909133\pi\) |
0.971780 | + | 0.235888i | \(0.0757997\pi\) | |||||||
\(398\) | 15.8859 | − | 15.8859i | 0.796287 | − | 0.796287i | ||||
\(399\) | −3.76821 | − | 6.52674i | −0.188647 | − | 0.326746i | ||||
\(400\) | 28.2946 | + | 16.3359i | 1.41473 | + | 0.816794i | ||||
\(401\) | 5.49830 | − | 1.47327i | 0.274572 | − | 0.0735714i | −0.118906 | − | 0.992906i | \(-0.537939\pi\) |
0.393478 | + | 0.919334i | \(0.371272\pi\) | |||||||
\(402\) | −12.8728 | −0.642036 | ||||||||
\(403\) | 3.61421 | + | 7.69540i | 0.180037 | + | 0.383335i | ||||
\(404\) | 5.61050i | 0.279133i | ||||||||
\(405\) | −1.05076 | − | 3.92150i | −0.0522129 | − | 0.194861i | ||||
\(406\) | 8.79346 | + | 5.07691i | 0.436412 | + | 0.251963i | ||||
\(407\) | 29.3023 | + | 5.26427i | 1.45246 | + | 0.260940i | ||||
\(408\) | −8.47692 | + | 8.47692i | −0.419670 | + | 0.419670i | ||||
\(409\) | −4.15597 | + | 15.5103i | −0.205500 | + | 0.766935i | 0.783797 | + | 0.621017i | \(0.213280\pi\) |
−0.989297 | + | 0.145918i | \(0.953386\pi\) | |||||||
\(410\) | −2.82596 | + | 10.5466i | −0.139564 | + | 0.520861i | ||||
\(411\) | 1.12757 | + | 1.12757i | 0.0556187 | + | 0.0556187i | ||||
\(412\) | 0.760833 | + | 1.31780i | 0.0374835 | + | 0.0649234i | ||||
\(413\) | −0.0911497 | + | 0.157876i | −0.00448519 | + | 0.00776857i | ||||
\(414\) | −1.04847 | − | 3.91294i | −0.0515294 | − | 0.192310i | ||||
\(415\) | −25.9542 | −1.27404 | ||||||||
\(416\) | −7.65648 | − | 5.32982i | −0.375390 | − | 0.261316i | ||||
\(417\) | 18.4468i | 0.903344i | ||||||||
\(418\) | 5.89211 | − | 12.5300i | 0.288193 | − | 0.612863i | ||||
\(419\) | −10.8437 | + | 18.7818i | −0.529748 | + | 0.917550i | 0.469650 | + | 0.882853i | \(0.344380\pi\) |
−0.999398 | + | 0.0346972i | \(0.988953\pi\) | |||||||
\(420\) | −2.12212 | − | 3.67562i | −0.103549 | − | 0.179352i | ||||
\(421\) | 23.1006 | − | 23.1006i | 1.12585 | − | 1.12585i | 0.135011 | − | 0.990844i | \(-0.456893\pi\) |
0.990844 | − | 0.135011i | \(-0.0431068\pi\) | |||||||
\(422\) | 23.9314 | + | 6.41240i | 1.16496 | + | 0.312151i | ||||
\(423\) | 1.21389 | − | 4.53028i | 0.0590212 | − | 0.220270i | ||||
\(424\) | −11.6541 | + | 11.6541i | −0.565972 | + | 0.565972i | ||||
\(425\) | −39.0250 | + | 22.5311i | −1.89299 | + | 1.09292i | ||||
\(426\) | −7.16726 | + | 12.4141i | −0.347255 | + | 0.601463i | ||||
\(427\) | −5.14503 | + | 1.37861i | −0.248986 | + | 0.0667155i | ||||
\(428\) | 3.00146 | 0.145081 | ||||||||
\(429\) | −3.08953 | − | 11.5523i | −0.149164 | − | 0.557749i | ||||
\(430\) | −54.7877 | −2.64210 | ||||||||
\(431\) | −22.5285 | + | 6.03650i | −1.08516 | + | 0.290768i | −0.756709 | − | 0.653752i | \(-0.773194\pi\) |
−0.328453 | + | 0.944520i | \(0.606527\pi\) | |||||||
\(432\) | 1.42270 | − | 2.46419i | 0.0684498 | − | 0.118559i | ||||
\(433\) | 24.7531 | − | 14.2912i | 1.18956 | − | 0.686793i | 0.231354 | − | 0.972870i | \(-0.425685\pi\) |
0.958207 | + | 0.286077i | \(0.0923512\pi\) | |||||||
\(434\) | −4.61167 | + | 4.61167i | −0.221367 | + | 0.221367i | ||||
\(435\) | 3.85748 | − | 14.3963i | 0.184952 | − | 0.690250i | ||||
\(436\) | 0.471698 | + | 0.126391i | 0.0225902 | + | 0.00605304i | ||||
\(437\) | −7.80511 | + | 7.80511i | −0.373369 | + | 0.373369i | ||||
\(438\) | 8.84875 | + | 15.3265i | 0.422809 | + | 0.732327i | ||||
\(439\) | −3.72237 | + | 6.44733i | −0.177659 | + | 0.307714i | −0.941078 | − | 0.338189i | \(-0.890186\pi\) |
0.763419 | + | 0.645903i | \(0.223519\pi\) | |||||||
\(440\) | 17.5031 | − | 37.2215i | 0.834425 | − | 1.77447i | ||||
\(441\) | 2.00701i | 0.0955718i | ||||||||
\(442\) | −15.8534 | + | 7.44569i | −0.754069 | + | 0.354155i | ||||
\(443\) | 32.8625 | 1.56134 | 0.780672 | − | 0.624941i | \(-0.214877\pi\) | ||||
0.780672 | + | 0.624941i | \(0.214877\pi\) | |||||||
\(444\) | −1.08695 | − | 4.05655i | −0.0515843 | − | 0.192515i | ||||
\(445\) | 33.2869 | − | 57.6545i | 1.57795 | − | 2.73309i | ||||
\(446\) | 3.44830 | + | 5.97264i | 0.163282 | + | 0.282813i | ||||
\(447\) | 10.4268 | + | 10.4268i | 0.493169 | + | 0.493169i | ||||
\(448\) | 5.14337 | − | 19.1953i | 0.243001 | − | 0.906893i | ||||
\(449\) | −3.74288 | + | 13.9686i | −0.176637 | + | 0.659220i | 0.819630 | + | 0.572894i | \(0.194179\pi\) |
−0.996267 | + | 0.0863259i | \(0.972487\pi\) | |||||||
\(450\) | 10.0499 | − | 10.0499i | 0.473759 | − | 0.473759i | ||||
\(451\) | 7.09267 | + | 1.27423i | 0.333981 | + | 0.0600010i | ||||
\(452\) | −5.33741 | − | 3.08155i | −0.251051 | − | 0.144944i | ||||
\(453\) | 6.15970 | + | 22.9883i | 0.289408 | + | 1.08009i | ||||
\(454\) | − | 0.627978i | − | 0.0294725i | ||||||
\(455\) | −5.76830 | − | 32.1959i | −0.270422 | − | 1.50937i | ||||
\(456\) | −10.3028 | −0.482472 | ||||||||
\(457\) | 8.23691 | − | 2.20707i | 0.385307 | − | 0.103243i | −0.0609656 | − | 0.998140i | \(-0.519418\pi\) |
0.446272 | + | 0.894897i | \(0.352751\pi\) | |||||||
\(458\) | 13.9045 | + | 8.02775i | 0.649713 | + | 0.375112i | ||||
\(459\) | 1.96225 | + | 3.39871i | 0.0915898 | + | 0.158638i | ||||
\(460\) | −4.39555 | + | 4.39555i | −0.204943 | + | 0.204943i | ||||
\(461\) | 8.60468 | − | 32.1131i | 0.400760 | − | 1.49566i | −0.410984 | − | 0.911643i | \(-0.634815\pi\) |
0.811744 | − | 0.584014i | \(-0.198519\pi\) | |||||||
\(462\) | 7.53128 | − | 5.23734i | 0.350387 | − | 0.243663i | ||||
\(463\) | −17.1423 | − | 17.1423i | −0.796668 | − | 0.796668i | 0.185900 | − | 0.982569i | \(-0.440480\pi\) |
−0.982569 | + | 0.185900i | \(0.940480\pi\) | |||||||
\(464\) | 9.04635 | − | 5.22291i | 0.419966 | − | 0.242468i | ||||
\(465\) | 8.29052 | + | 4.78653i | 0.384464 | + | 0.221970i | ||||
\(466\) | −33.8450 | + | 9.06875i | −1.56784 | + | 0.420102i | ||||
\(467\) | − | 6.84310i | − | 0.316661i | −0.987386 | − | 0.158330i | \(-0.949389\pi\) | ||
0.987386 | − | 0.158330i | \(-0.0506111\pi\) | |||||||
\(468\) | −1.28923 | + | 1.08785i | −0.0595948 | + | 0.0502858i | ||||
\(469\) | 23.2382i | 1.07304i | ||||||||
\(470\) | 22.7659 | − | 6.10010i | 1.05011 | − | 0.281376i | ||||
\(471\) | −3.88497 | + | 6.72897i | −0.179010 | + | 0.310054i | ||||
\(472\) | 0.124608 | + | 0.215827i | 0.00573553 | + | 0.00993423i | ||||
\(473\) | 3.03531 | + | 36.0317i | 0.139564 | + | 1.65674i | ||||
\(474\) | −10.9861 | − | 2.94373i | −0.504610 | − | 0.135210i | ||||
\(475\) | −37.4074 | − | 10.0233i | −1.71637 | − | 0.459900i | ||||
\(476\) | 2.90108 | + | 2.90108i | 0.132971 | + | 0.132971i | ||||
\(477\) | 2.69770 | + | 4.67255i | 0.123519 | + | 0.213941i | ||||
\(478\) | −20.9345 | − | 12.0866i | −0.957524 | − | 0.552827i | ||||
\(479\) | 3.08908 | + | 11.5286i | 0.141144 | + | 0.526756i | 0.999897 | + | 0.0143661i | \(0.00457303\pi\) |
−0.858753 | + | 0.512390i | \(0.828760\pi\) | |||||||
\(480\) | −10.5043 | −0.479455 | ||||||||
\(481\) | 2.73214 | − | 32.2494i | 0.124575 | − | 1.47044i | ||||
\(482\) | −1.90207 | −0.0866371 | ||||||||
\(483\) | −7.06372 | + | 1.89272i | −0.321410 | + | 0.0861216i | ||||
\(484\) | −4.82458 | − | 1.79133i | −0.219299 | − | 0.0814239i | ||||
\(485\) | 16.8751 | − | 9.74284i | 0.766259 | − | 0.442400i | ||||
\(486\) | −0.875256 | − | 0.875256i | −0.0397024 | − | 0.0397024i | ||||
\(487\) | 12.4957 | + | 3.34820i | 0.566232 | + | 0.151721i | 0.530568 | − | 0.847642i | \(-0.321979\pi\) |
0.0356642 | + | 0.999364i | \(0.488645\pi\) | |||||||
\(488\) | −1.88465 | + | 7.03359i | −0.0853139 | + | 0.318396i | ||||
\(489\) | −1.58611 | − | 1.58611i | −0.0717264 | − | 0.0717264i | ||||
\(490\) | −8.73450 | + | 5.04287i | −0.394585 | + | 0.227814i | ||||
\(491\) | −8.24322 | + | 14.2777i | −0.372012 | + | 0.644343i | −0.989875 | − | 0.141943i | \(-0.954665\pi\) |
0.617863 | + | 0.786285i | \(0.287998\pi\) | |||||||
\(492\) | −0.263098 | − | 0.981895i | −0.0118614 | − | 0.0442673i | ||||
\(493\) | 14.4073i | 0.648872i | ||||||||
\(494\) | −14.1588 | − | 5.10933i | −0.637033 | − | 0.229880i | ||||
\(495\) | −10.2868 | − | 8.68833i | −0.462357 | − | 0.390511i | ||||
\(496\) | 1.73653 | + | 6.48082i | 0.0779726 | + | 0.290998i | ||||
\(497\) | 22.4101 | + | 12.9385i | 1.00523 | + | 0.580370i | ||||
\(498\) | −6.85298 | + | 3.95657i | −0.307089 | + | 0.177298i | ||||
\(499\) | 4.14952 | − | 4.14952i | 0.185758 | − | 0.185758i | −0.608101 | − | 0.793859i | \(-0.708069\pi\) |
0.793859 | + | 0.608101i | \(0.208069\pi\) | |||||||
\(500\) | −11.8930 | − | 3.18672i | −0.531871 | − | 0.142514i | ||||
\(501\) | −21.6848 | − | 5.81043i | −0.968806 | − | 0.259591i | ||||
\(502\) | 9.79657 | − | 9.79657i | 0.437242 | − | 0.437242i | ||||
\(503\) | 27.7109 | − | 15.9989i | 1.23557 | − | 0.713355i | 0.267382 | − | 0.963591i | \(-0.413841\pi\) |
0.968185 | + | 0.250235i | \(0.0805080\pi\) | |||||||
\(504\) | −5.91127 | − | 3.41287i | −0.263309 | − | 0.152021i | ||||
\(505\) | 12.6007 | + | 47.0266i | 0.560726 | + | 2.09266i | ||||
\(506\) | −10.2643 | − | 8.66935i | −0.456305 | − | 0.385400i | ||||
\(507\) | −12.1914 | + | 4.51336i | −0.541438 | + | 0.200445i | ||||
\(508\) | − | 1.55410i | − | 0.0689518i | ||||||
\(509\) | 9.23809 | + | 34.4770i | 0.409471 | + | 1.52817i | 0.795657 | + | 0.605747i | \(0.207126\pi\) |
−0.386186 | + | 0.922421i | \(0.626208\pi\) | |||||||
\(510\) | −9.86081 | + | 17.0794i | −0.436644 | + | 0.756289i | ||||
\(511\) | 27.6677 | − | 15.9739i | 1.22395 | − | 0.706646i | ||||
\(512\) | −17.4980 | − | 17.4980i | −0.773309 | − | 0.773309i | ||||
\(513\) | −0.872934 | + | 3.25783i | −0.0385410 | + | 0.143837i | ||||
\(514\) | −23.9256 | − | 6.41084i | −1.05531 | − | 0.282770i | ||||
\(515\) | 9.33690 | + | 9.33690i | 0.411433 | + | 0.411433i | ||||
\(516\) | 4.41738 | − | 2.55038i | 0.194464 | − | 0.112274i | ||||
\(517\) | −5.27305 | − | 14.6343i | −0.231909 | − | 0.643615i | ||||
\(518\) | 23.9815 | − | 6.42583i | 1.05369 | − | 0.282335i | ||||
\(519\) | 12.2725 | 0.538703 | ||||||||
\(520\) | −42.0599 | − | 15.1777i | −1.84445 | − | 0.665588i | ||||
\(521\) | −22.0414 | −0.965649 | −0.482825 | − | 0.875717i | \(-0.660389\pi\) | ||||
−0.482825 | + | 0.875717i | \(0.660389\pi\) | |||||||
\(522\) | −1.17610 | − | 4.38927i | −0.0514766 | − | 0.192113i | ||||
\(523\) | −1.63698 | − | 0.945111i | −0.0715802 | − | 0.0413268i | 0.463783 | − | 0.885949i | \(-0.346492\pi\) |
−0.535363 | + | 0.844622i | \(0.679825\pi\) | |||||||
\(524\) | 3.01800 | + | 5.22733i | 0.131842 | + | 0.228357i | ||||
\(525\) | −18.1424 | − | 18.1424i | −0.791798 | − | 0.791798i | ||||
\(526\) | 13.1680 | + | 3.52836i | 0.574154 | + | 0.153844i | ||||
\(527\) | −8.93861 | − | 2.39509i | −0.389372 | − | 0.104332i | ||||
\(528\) | −0.792177 | − | 9.40383i | −0.0344751 | − | 0.409249i | ||||
\(529\) | −6.14465 | − | 10.6428i | −0.267159 | − | 0.462732i | ||||
\(530\) | −13.5566 | + | 23.4808i | −0.588863 | + | 1.01994i | ||||
\(531\) | 0.0788041 | − | 0.0211155i | 0.00341981 | − | 0.000916334i | ||||
\(532\) | 3.52595i | 0.152869i | ||||||||
\(533\) | 0.661321 | − | 7.80602i | 0.0286450 | − | 0.338116i | ||||
\(534\) | − | 20.2976i | − | 0.878362i | ||||||
\(535\) | 25.1579 | − | 6.74104i | 1.08767 | − | 0.291441i | ||||
\(536\) | 27.5120 | + | 15.8841i | 1.18834 | + | 0.686087i | ||||
\(537\) | −0.737785 | + | 0.425960i | −0.0318378 | + | 0.0183815i | ||||
\(538\) | 10.0335 | + | 10.0335i | 0.432577 | + | 0.432577i | ||||
\(539\) | 3.80040 | + | 5.46496i | 0.163695 | + | 0.235393i | ||||
\(540\) | −0.491604 | + | 1.83469i | −0.0211553 | + | 0.0789525i | ||||
\(541\) | −2.73283 | + | 2.73283i | −0.117494 | + | 0.117494i | −0.763409 | − | 0.645915i | \(-0.776476\pi\) |
0.645915 | + | 0.763409i | \(0.276476\pi\) | |||||||
\(542\) | 6.00453 | + | 10.4001i | 0.257916 | + | 0.446724i | ||||
\(543\) | 16.4877 | + | 9.51920i | 0.707557 | + | 0.408508i | ||||
\(544\) | 9.80814 | − | 2.62808i | 0.420521 | − | 0.112678i | ||||
\(545\) | 4.23759 | 0.181518 | ||||||||
\(546\) | −6.43115 | − | 7.62170i | −0.275228 | − | 0.326178i | ||||
\(547\) | 15.3594i | 0.656719i | 0.944553 | + | 0.328360i | \(0.106496\pi\) | ||||
−0.944553 | + | 0.328360i | \(0.893504\pi\) | |||||||
\(548\) | −0.193092 | − | 0.720628i | −0.00824847 | − | 0.0307837i | ||||
\(549\) | 2.06440 | + | 1.19188i | 0.0881066 | + | 0.0508684i | ||||
\(550\) | 8.33517 | − | 46.3956i | 0.355413 | − | 1.97832i | ||||
\(551\) | −8.75526 | + | 8.75526i | −0.372987 | + | 0.372987i | ||||
\(552\) | −2.58747 | + | 9.65656i | −0.110130 | + | 0.411010i | ||||
\(553\) | −5.31408 | + | 19.8324i | −0.225978 | + | 0.843360i | ||||
\(554\) | 6.35871 | + | 6.35871i | 0.270156 | + | 0.270156i | ||||
\(555\) | −18.2214 | − | 31.5604i | −0.773454 | − | 1.33966i | ||||
\(556\) | 4.31521 | − | 7.47416i | 0.183006 | − | 0.316975i | ||||
\(557\) | −3.20803 | − | 11.9725i | −0.135928 | − | 0.507292i | −0.999992 | − | 0.00390979i | \(-0.998755\pi\) |
0.864064 | − | 0.503382i | \(-0.167911\pi\) | |||||||
\(558\) | 2.91872 | 0.123559 | ||||||||
\(559\) | 38.6932 | − | 6.93239i | 1.63655 | − | 0.293209i | ||||
\(560\) | − | 25.8127i | − | 1.09079i | ||||||
\(561\) | 11.7788 | + | 5.53885i | 0.497300 | + | 0.233850i | ||||
\(562\) | 3.87372 | − | 6.70948i | 0.163403 | − | 0.283023i | ||||
\(563\) | 3.23176 | + | 5.59758i | 0.136203 | + | 0.235910i | 0.926056 | − | 0.377386i | \(-0.123177\pi\) |
−0.789854 | + | 0.613295i | \(0.789844\pi\) | |||||||
\(564\) | −1.55159 | + | 1.55159i | −0.0653337 | + | 0.0653337i | ||||
\(565\) | −51.6585 | − | 13.8419i | −2.17329 | − | 0.582331i | ||||
\(566\) | −2.35438 | + | 8.78667i | −0.0989620 | + | 0.369331i | ||||
\(567\) | −1.58003 | + | 1.58003i | −0.0663550 | + | 0.0663550i | ||||
\(568\) | 30.6361 | − | 17.6877i | 1.28546 | − | 0.742161i | ||||
\(569\) | 21.7504 | − | 37.6729i | 0.911826 | − | 1.57933i | 0.100342 | − | 0.994953i | \(-0.468006\pi\) |
0.811483 | − | 0.584376i | \(-0.198661\pi\) | |||||||
\(570\) | −16.3715 | + | 4.38672i | −0.685726 | + | 0.183740i | ||||
\(571\) | 1.31335 | 0.0549622 | 0.0274811 | − | 0.999622i | \(-0.491251\pi\) | ||||
0.0274811 | + | 0.999622i | \(0.491251\pi\) | |||||||
\(572\) | −1.45059 | + | 5.40340i | −0.0606523 | + | 0.225927i | ||||
\(573\) | 2.81854 | 0.117746 | ||||||||
\(574\) | 5.80478 | − | 1.55538i | 0.242287 | − | 0.0649205i | ||||
\(575\) | −18.7892 | + | 32.5438i | −0.783562 | + | 1.35717i | ||||
\(576\) | −7.70196 | + | 4.44673i | −0.320915 | + | 0.185280i | ||||
\(577\) | −27.1353 | + | 27.1353i | −1.12966 | + | 1.12966i | −0.139424 | + | 0.990233i | \(0.544525\pi\) |
−0.990233 | + | 0.139424i | \(0.955475\pi\) | |||||||
\(578\) | −0.512056 | + | 1.91102i | −0.0212987 | + | 0.0794880i | ||||
\(579\) | −12.4807 | − | 3.34419i | −0.518679 | − | 0.138980i | ||||
\(580\) | −4.93064 | + | 4.93064i | −0.204733 | + | 0.204733i | ||||
\(581\) | 7.14248 | + | 12.3711i | 0.296320 | + | 0.513242i | ||||
\(582\) | 2.97048 | − | 5.14503i | 0.123130 | − | 0.213268i | ||||
\(583\) | 16.1935 | + | 7.61481i | 0.670665 | + | 0.315373i | ||||
\(584\) | − | 43.6748i | − | 1.80728i | ||||||
\(585\) | −8.36299 | + | 12.0137i | −0.345767 | + | 0.496707i | ||||
\(586\) | 10.8995 | 0.450254 | ||||||||
\(587\) | −1.21970 | − | 4.55197i | −0.0503423 | − | 0.187880i | 0.936176 | − | 0.351532i | \(-0.114339\pi\) |
−0.986518 | + | 0.163652i | \(0.947673\pi\) | |||||||
\(588\) | 0.469493 | − | 0.813186i | 0.0193616 | − | 0.0335352i | ||||
\(589\) | −3.97647 | − | 6.88745i | −0.163848 | − | 0.283792i | ||||
\(590\) | 0.289900 | + | 0.289900i | 0.0119350 | + | 0.0119350i | ||||
\(591\) | −3.33364 | + | 12.4413i | −0.137128 | + | 0.511767i | ||||
\(592\) | 6.61063 | − | 24.6712i | 0.271695 | − | 1.01398i | ||||
\(593\) | −5.52845 | + | 5.52845i | −0.227026 | + | 0.227026i | −0.811449 | − | 0.584423i | \(-0.801321\pi\) |
0.584423 | + | 0.811449i | \(0.301321\pi\) | |||||||
\(594\) | −4.04063 | − | 0.725915i | −0.165789 | − | 0.0297847i | ||||
\(595\) | 30.8321 | + | 17.8009i | 1.26399 | + | 0.729767i | ||||
\(596\) | −1.78555 | − | 6.66375i | −0.0731388 | − | 0.272958i | ||||
\(597\) | 18.1500i | 0.742829i | ||||||||
\(598\) | −8.34472 | + | 11.9875i | −0.341241 | + | 0.490205i | ||||
\(599\) | 25.9318 | 1.05955 | 0.529773 | − | 0.848139i | \(-0.322277\pi\) | ||||
0.529773 | + | 0.848139i | \(0.322277\pi\) | |||||||
\(600\) | −33.8799 | + | 9.07808i | −1.38314 | + | 0.370611i | ||||
\(601\) | −31.1503 | − | 17.9847i | −1.27065 | − | 0.733610i | −0.295539 | − | 0.955331i | \(-0.595499\pi\) |
−0.975110 | + | 0.221721i | \(0.928833\pi\) | |||||||
\(602\) | 15.0773 | + | 26.1147i | 0.614506 | + | 1.06436i | ||||
\(603\) | 7.35372 | − | 7.35372i | 0.299467 | − | 0.299467i | ||||
\(604\) | 2.88184 | − | 10.7552i | 0.117260 | − | 0.437622i | ||||
\(605\) | −44.4623 | − | 4.17909i | −1.80765 | − | 0.169904i | ||||
\(606\) | 10.4961 | + | 10.4961i | 0.426373 | + | 0.426373i | ||||
\(607\) | 13.1072 | − | 7.56746i | 0.532006 | − | 0.307154i | −0.209827 | − | 0.977739i | \(-0.567290\pi\) |
0.741833 | + | 0.670585i | \(0.233957\pi\) | |||||||
\(608\) | 7.55745 | + | 4.36330i | 0.306495 | + | 0.176955i | ||||
\(609\) | −7.92361 | + | 2.12312i | −0.321081 | + | 0.0860334i | ||||
\(610\) | 11.9791i | 0.485018i | ||||||||
\(611\) | −15.3063 | + | 7.18874i | −0.619227 | + | 0.290825i | ||||
\(612\) | − | 1.83609i | − | 0.0742196i | ||||||
\(613\) | 35.2736 | − | 9.45154i | 1.42469 | − | 0.381744i | 0.537544 | − | 0.843236i | \(-0.319352\pi\) |
0.887144 | + | 0.461492i | \(0.152686\pi\) | |||||||
\(614\) | −2.93710 | + | 5.08720i | −0.118532 | + | 0.205303i | ||||
\(615\) | −4.41052 | − | 7.63924i | −0.177849 | − | 0.308044i | ||||
\(616\) | −22.5585 | + | 1.90033i | −0.908909 | + | 0.0765664i | ||||
\(617\) | −8.02453 | − | 2.15017i | −0.323055 | − | 0.0865624i | 0.0936469 | − | 0.995605i | \(-0.470148\pi\) |
−0.416702 | + | 0.909043i | \(0.636814\pi\) | |||||||
\(618\) | 3.88868 | + | 1.04197i | 0.156426 | + | 0.0419142i | ||||
\(619\) | 0.134502 | + | 0.134502i | 0.00540610 | + | 0.00540610i | 0.709805 | − | 0.704399i | \(-0.248783\pi\) |
−0.704399 | + | 0.709805i | \(0.748783\pi\) | |||||||
\(620\) | −2.23940 | − | 3.87875i | −0.0899364 | − | 0.155774i | ||||
\(621\) | 2.83426 | + | 1.63636i | 0.113735 | + | 0.0656649i | ||||
\(622\) | 9.10738 | + | 33.9892i | 0.365173 | + | 1.36284i | ||||
\(623\) | −36.6416 | −1.46802 | ||||||||
\(624\) | −10.0985 | + | 1.80927i | −0.404262 | + | 0.0724287i | ||||
\(625\) | −49.4315 | −1.97726 | ||||||||
\(626\) | −6.51018 | + | 1.74440i | −0.260199 | + | 0.0697202i | ||||
\(627\) | 3.79198 | + | 10.5238i | 0.151437 | + | 0.420282i | ||||
\(628\) | 3.14817 | − | 1.81760i | 0.125626 | − | 0.0725301i | ||||
\(629\) | 24.9099 | + | 24.9099i | 0.993221 | + | 0.993221i | ||||
\(630\) | −10.8463 | − | 2.90627i | −0.432128 | − | 0.115788i | ||||
\(631\) | −4.37954 | + | 16.3447i | −0.174347 | + | 0.650671i | 0.822315 | + | 0.569032i | \(0.192682\pi\) |
−0.996662 | + | 0.0816388i | \(0.973985\pi\) | |||||||
\(632\) | 19.8475 | + | 19.8475i | 0.789492 | + | 0.789492i | ||||
\(633\) | −17.3342 | + | 10.0079i | −0.688974 | + | 0.397780i | ||||
\(634\) | 13.5683 | − | 23.5010i | 0.538867 | − | 0.933346i | ||||
\(635\) | −3.49038 | − | 13.0263i | −0.138511 | − | 0.516931i | ||||
\(636\) | − | 2.52426i | − | 0.100093i | ||||||
\(637\) | 5.53057 | − | 4.66667i | 0.219129 | − | 0.184900i | ||||
\(638\) | −11.5138 | − | 9.72471i | −0.455837 | − | 0.385005i | ||||
\(639\) | −2.99729 | − | 11.1860i | −0.118571 | − | 0.442513i | ||||
\(640\) | −20.5104 | − | 11.8417i | −0.810743 | − | 0.468083i | ||||
\(641\) | −6.32581 | + | 3.65221i | −0.249854 | + | 0.144253i | −0.619698 | − | 0.784841i | \(-0.712745\pi\) |
0.369843 | + | 0.929094i | \(0.379411\pi\) | |||||||
\(642\) | 5.61509 | − | 5.61509i | 0.221610 | − | 0.221610i | ||||
\(643\) | −21.4696 | − | 5.75275i | −0.846677 | − | 0.226867i | −0.190701 | − | 0.981648i | \(-0.561076\pi\) |
−0.655976 | + | 0.754782i | \(0.727743\pi\) | |||||||
\(644\) | 3.30479 | + | 0.885515i | 0.130227 | + | 0.0348942i | ||||
\(645\) | 31.2981 | − | 31.2981i | 1.23236 | − | 1.23236i | ||||
\(646\) | 14.1889 | − | 8.19198i | 0.558256 | − | 0.322309i | ||||
\(647\) | −17.5217 | − | 10.1162i | −0.688851 | − | 0.397708i | 0.114331 | − | 0.993443i | \(-0.463528\pi\) |
−0.803181 | + | 0.595735i | \(0.796861\pi\) | |||||||
\(648\) | 0.790616 | + | 2.95062i | 0.0310583 | + | 0.115911i | ||||
\(649\) | 0.174595 | − | 0.206717i | 0.00685346 | − | 0.00811435i | ||||
\(650\) | −51.0619 | − | 4.32593i | −2.00281 | − | 0.169677i | ||||
\(651\) | − | 5.26894i | − | 0.206506i | ||||||
\(652\) | 0.271616 | + | 1.01368i | 0.0106373 | + | 0.0396989i | ||||
\(653\) | −14.1283 | + | 24.4710i | −0.552885 | + | 0.957625i | 0.445180 | + | 0.895441i | \(0.353140\pi\) |
−0.998065 | + | 0.0621835i | \(0.980194\pi\) | |||||||
\(654\) | 1.11890 | − | 0.645996i | 0.0437524 | − | 0.0252605i | ||||
\(655\) | 37.0367 | + | 37.0367i | 1.44715 | + | 1.44715i | ||||
\(656\) | 1.60012 | − | 5.97171i | 0.0624740 | − | 0.233156i | ||||
\(657\) | −13.8104 | − | 3.70048i | −0.538794 | − | 0.144369i | ||||
\(658\) | −9.17270 | − | 9.17270i | −0.357589 | − | 0.357589i | ||||
\(659\) | −12.8992 | + | 7.44733i | −0.502480 | + | 0.290107i | −0.729737 | − | 0.683728i | \(-0.760358\pi\) |
0.227257 | + | 0.973835i | \(0.427024\pi\) | |||||||
\(660\) | 2.13550 | + | 5.92664i | 0.0831242 | + | 0.230694i | ||||
\(661\) | −0.160358 | + | 0.0429679i | −0.00623722 | + | 0.00167126i | −0.261936 | − | 0.965085i | \(-0.584361\pi\) |
0.255699 | + | 0.966756i | \(0.417694\pi\) | |||||||
\(662\) | −23.8740 | −0.927889 | ||||||||
\(663\) | 4.80300 | − | 13.3099i | 0.186533 | − | 0.516913i | ||||
\(664\) | 19.5285 | 0.757852 | ||||||||
\(665\) | 7.91900 | + | 29.5541i | 0.307086 | + | 1.14606i | ||||
\(666\) | −9.62240 | − | 5.55549i | −0.372860 | − | 0.215271i | ||||
\(667\) | 6.00728 | + | 10.4049i | 0.232603 | + | 0.402880i | ||||
\(668\) | 7.42689 | + | 7.42689i | 0.287355 | + | 0.287355i | ||||
\(669\) | −5.38182 | − | 1.44205i | −0.208073 | − | 0.0557530i | ||||
\(670\) | 50.4806 | + | 13.5262i | 1.95024 | + | 0.522564i | ||||
\(671\) | 7.87816 | − | 0.663655i | 0.304133 | − | 0.0256201i | ||||
\(672\) | 2.89075 | + | 5.00692i | 0.111513 | + | 0.193146i | ||||
\(673\) | −8.13668 | + | 14.0931i | −0.313646 | + | 0.543251i | −0.979149 | − | 0.203145i | \(-0.934884\pi\) |
0.665503 | + | 0.746395i | \(0.268217\pi\) | |||||||
\(674\) | 12.2858 | − | 3.29196i | 0.473230 | − | 0.126802i | ||||
\(675\) | 11.4823i | 0.441953i | ||||||||
\(676\) | 5.99542 | + | 1.02320i | 0.230593 | + | 0.0393538i | ||||
\(677\) | − | 34.0774i | − | 1.30970i | −0.755759 | − | 0.654850i | \(-0.772732\pi\) | ||
0.755759 | − | 0.654850i | \(-0.227268\pi\) | |||||||
\(678\) | −15.7501 | + | 4.22023i | −0.604879 | + | 0.162077i | ||||
\(679\) | −9.28791 | − | 5.36238i | −0.356437 | − | 0.205789i | ||||
\(680\) | 42.1495 | − | 24.3350i | 1.61636 | − | 0.933206i | ||||
\(681\) | 0.358740 | + | 0.358740i | 0.0137469 | + | 0.0137469i | ||||
\(682\) | 7.94750 | − | 5.52679i | 0.304326 | − | 0.211632i | ||||
\(683\) | 6.75924 | − | 25.2258i | 0.258635 | − | 0.965239i | −0.707397 | − | 0.706816i | \(-0.750131\pi\) |
0.966032 | − | 0.258422i | \(-0.0832026\pi\) | |||||||
\(684\) | 1.11579 | − | 1.11579i | 0.0426631 | − | 0.0426631i | ||||
\(685\) | −3.23695 | − | 5.60656i | −0.123677 | − | 0.214216i | ||||
\(686\) | 21.5745 | + | 12.4561i | 0.823720 | + | 0.475575i | ||||
\(687\) | −12.5290 | + | 3.35714i | −0.478012 | + | 0.128083i | ||||
\(688\) | 31.0219 | 1.18270 | ||||||||
\(689\) | 6.60317 | − | 18.2984i | 0.251561 | − | 0.697114i | ||||
\(690\) | 16.4463i | 0.626099i | ||||||||
\(691\) | 8.90292 | + | 33.2261i | 0.338683 | + | 1.26398i | 0.899821 | + | 0.436260i | \(0.143697\pi\) |
−0.561138 | + | 0.827722i | \(0.689636\pi\) | |||||||
\(692\) | −4.97249 | − | 2.87087i | −0.189026 | − | 0.109134i | ||||
\(693\) | −1.31044 | + | 7.29422i | −0.0497794 | + | 0.277085i | ||||
\(694\) | −13.4148 | + | 13.4148i | −0.509219 | + | 0.509219i | ||||
\(695\) | 19.3832 | − | 72.3392i | 0.735248 | − | 2.74398i | ||||
\(696\) | −2.90245 | + | 10.8321i | −0.110017 | + | 0.410589i | ||||
\(697\) | 6.02948 | + | 6.02948i | 0.228383 | + | 0.228383i | ||||
\(698\) | −15.3621 | − | 26.6079i | −0.581463 | − | 1.00712i | ||||
\(699\) | 14.1537 | − | 24.5150i | 0.535344 | − | 0.927242i | ||||
\(700\) | 3.10682 | + | 11.5948i | 0.117427 | + | 0.438242i | ||||
\(701\) | −16.9132 | −0.638804 | −0.319402 | − | 0.947619i | \(-0.603482\pi\) | ||||
−0.319402 | + | 0.947619i | \(0.603482\pi\) | |||||||
\(702\) | −0.376748 | + | 4.44702i | −0.0142194 | + | 0.167842i | ||||
\(703\) | 30.2752i | 1.14185i | ||||||||
\(704\) | −12.5518 | + | 26.6924i | −0.473064 | + | 1.00601i | ||||
\(705\) | −9.52052 | + | 16.4900i | −0.358563 | + | 0.621050i | ||||
\(706\) | 10.3598 | + | 17.9436i | 0.389895 | + | 0.675318i | ||||
\(707\) | 18.9477 | − | 18.9477i | 0.712602 | − | 0.712602i | ||||
\(708\) | −0.0368688 | − | 0.00987897i | −0.00138561 | − | 0.000371274i | ||||
\(709\) | 9.12665 | − | 34.0611i | 0.342759 | − | 1.27919i | −0.552450 | − | 0.833546i | \(-0.686307\pi\) |
0.895209 | − | 0.445647i | \(-0.147026\pi\) | |||||||
\(710\) | 41.1507 | − | 41.1507i | 1.54436 | − | 1.54436i | ||||
\(711\) | 7.95760 | − | 4.59432i | 0.298433 | − | 0.172301i | ||||
\(712\) | −25.0457 | + | 43.3805i | −0.938628 | + | 1.62575i | ||||
\(713\) | −7.45410 | + | 1.99732i | −0.279158 | + | 0.0748002i | ||||
\(714\) | 10.8546 | 0.406224 | ||||||||
\(715\) | −0.0231114 | + | 48.5486i | −0.000864316 | + | 1.81561i | ||||
\(716\) | 0.398575 | 0.0148954 | ||||||||
\(717\) | 18.8637 | − | 5.05451i | 0.704477 | − | 0.188764i | ||||
\(718\) | 1.01635 | − | 1.76037i | 0.0379299 | − | 0.0656965i | ||||
\(719\) | −34.6625 | + | 20.0124i | −1.29269 | + | 0.746336i | −0.979131 | − | 0.203232i | \(-0.934856\pi\) |
−0.313562 | + | 0.949568i | \(0.601522\pi\) | |||||||
\(720\) | −8.16841 | + | 8.16841i | −0.304419 | + | 0.304419i | ||||
\(721\) | 1.88099 | − | 7.01993i | 0.0700516 | − | 0.261436i | ||||
\(722\) | −9.11602 | − | 2.44263i | −0.339263 | − | 0.0909053i | ||||
\(723\) | 1.08658 | − | 1.08658i | 0.0404104 | − | 0.0404104i | ||||
\(724\) | −4.45360 | − | 7.71386i | −0.165517 | − | 0.286683i | ||||
\(725\) | −21.0764 | + | 36.5055i | −0.782759 | + | 1.35578i | ||||
\(726\) | −12.3770 | + | 5.67457i | −0.459352 | + | 0.210603i | ||||
\(727\) | − | 53.5442i | − | 1.98584i | −0.118766 | − | 0.992922i | \(-0.537894\pi\) | ||
0.118766 | − | 0.992922i | \(-0.462106\pi\) | |||||||
\(728\) | 4.34019 | + | 24.2248i | 0.160858 | + | 0.897832i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −18.5959 | − | 69.4008i | −0.688264 | − | 2.56864i | ||||
\(731\) | −21.3933 | + | 37.0543i | −0.791260 | + | 1.37050i | ||||
\(732\) | −0.557628 | − | 0.965839i | −0.0206105 | − | 0.0356984i | ||||
\(733\) | −24.5715 | − | 24.5715i | −0.907569 | − | 0.907569i | 0.0885062 | − | 0.996076i | \(-0.471791\pi\) |
−0.996076 | + | 0.0885062i | \(0.971791\pi\) | |||||||
\(734\) | −1.75071 | + | 6.53373i | −0.0646198 | + | 0.241164i | ||||
\(735\) | 2.10889 | − | 7.87048i | 0.0777876 | − | 0.290307i | ||||
\(736\) | 5.98761 | − | 5.98761i | 0.220706 | − | 0.220706i | ||||
\(737\) | 6.09899 | − | 33.9485i | 0.224659 | − | 1.25051i | ||||
\(738\) | −2.32912 | − | 1.34472i | −0.0857361 | − | 0.0494997i | ||||
\(739\) | −5.26107 | − | 19.6346i | −0.193532 | − | 0.722270i | −0.992642 | − | 0.121085i | \(-0.961362\pi\) |
0.799111 | − | 0.601184i | \(-0.205304\pi\) | |||||||
\(740\) | 17.0499i | 0.626766i | ||||||||
\(741\) | 11.0071 | − | 5.16959i | 0.404357 | − | 0.189910i | ||||
\(742\) | 14.9229 | 0.547838 | ||||||||
\(743\) | 28.7347 | − | 7.69945i | 1.05418 | − | 0.282465i | 0.310199 | − | 0.950672i | \(-0.399604\pi\) |
0.743976 | + | 0.668206i | \(0.232938\pi\) | |||||||
\(744\) | −6.23796 | − | 3.60149i | −0.228695 | − | 0.132037i | ||||
\(745\) | −29.9325 | − | 51.8447i | −1.09664 | − | 1.89944i | ||||
\(746\) | −24.1113 | + | 24.1113i | −0.882777 | + | 0.882777i | ||||
\(747\) | 1.65461 | − | 6.17508i | 0.0605389 | − | 0.225934i | ||||
\(748\) | −3.47676 | − | 4.99957i | −0.127123 | − | 0.182802i | ||||
\(749\) | −10.1365 | − | 10.1365i | −0.370379 | − | 0.370379i | ||||
\(750\) | −28.2109 | + | 16.2876i | −1.03012 | + | 0.594739i | ||||
\(751\) | 4.06293 | + | 2.34573i | 0.148258 | + | 0.0855970i | 0.572294 | − | 0.820048i | \(-0.306054\pi\) |
−0.424036 | + | 0.905645i | \(0.639387\pi\) | |||||||
\(752\) | −12.8905 | + | 3.45400i | −0.470068 | + | 0.125954i | ||||
\(753\) | 11.1928i | 0.407889i | ||||||||
\(754\) | −9.36056 | + | 13.4468i | −0.340891 | + | 0.489703i | ||||
\(755\) | − | 96.6211i | − | 3.51640i | ||||||
\(756\) | 1.00980 | − | 0.270575i | 0.0367260 | − | 0.00984070i | ||||
\(757\) | 21.7081 | − | 37.5995i | 0.788994 | − | 1.36658i | −0.137590 | − | 0.990489i | \(-0.543935\pi\) |
0.926584 | − | 0.376089i | \(-0.122731\pi\) | |||||||
\(758\) | −18.8613 | − | 32.6687i | −0.685072 | − | 1.18658i | ||||
\(759\) | 10.8161 | − | 0.911145i | 0.392599 | − | 0.0330725i | ||||
\(760\) | 40.4024 | + | 10.8258i | 1.46555 | + | 0.392693i | ||||
\(761\) | 42.4461 | + | 11.3734i | 1.53867 | + | 0.412285i | 0.925836 | − | 0.377926i | \(-0.123363\pi\) |
0.612834 | + | 0.790211i | \(0.290029\pi\) | |||||||
\(762\) | −2.90738 | − | 2.90738i | −0.105323 | − | 0.105323i | ||||
\(763\) | −1.16617 | − | 2.01986i | −0.0422180 | − | 0.0731238i | ||||
\(764\) | −1.14200 | − | 0.659333i | −0.0413161 | − | 0.0238538i | ||||
\(765\) | −4.12371 | − | 15.3899i | −0.149093 | − | 0.556423i | ||||
\(766\) | 13.5361 | 0.489078 | ||||||||
\(767\) | −0.241421 | − | 0.168057i | −0.00871720 | − | 0.00606820i | ||||
\(768\) | 10.5661 | 0.381273 | ||||||||
\(769\) | −30.7278 | + | 8.23350i | −1.10807 | + | 0.296907i | −0.766048 | − | 0.642783i | \(-0.777780\pi\) |
−0.342026 | + | 0.939691i | \(0.611113\pi\) | |||||||
\(770\) | −35.0371 | + | 12.6247i | −1.26265 | + | 0.454961i | ||||
\(771\) | 17.3300 | − | 10.0055i | 0.624126 | − | 0.360339i | ||||
\(772\) | 4.27454 | + | 4.27454i | 0.153844 | + | 0.153844i | ||||
\(773\) | 5.28534 | + | 1.41620i | 0.190100 | + | 0.0509372i | 0.352613 | − | 0.935769i | \(-0.385293\pi\) |
−0.162513 | + | 0.986706i | \(0.551960\pi\) | |||||||
\(774\) | 3.49277 | − | 13.0352i | 0.125545 | − | 0.468541i | ||||
\(775\) | −19.1450 | − | 19.1450i | −0.687709 | − | 0.687709i | ||||
\(776\) | −12.6972 | + | 7.33072i | −0.455802 | + | 0.263157i | ||||
\(777\) | −10.0289 | + | 17.3706i | −0.359785 | + | 0.623165i | ||||
\(778\) | 8.17024 | + | 30.4918i | 0.292917 | + | 1.09318i | ||||
\(779\) | 7.32818i | 0.262559i | ||||||||
\(780\) | 6.19880 | − | 2.91132i | 0.221953 | − | 0.104242i | ||||
\(781\) | −29.3430 | − | 24.7834i | −1.04997 | − | 0.886819i | ||||
\(782\) | −4.11471 | − | 15.3563i | −0.147142 | − | 0.549140i | ||||
\(783\) | 3.17928 | + | 1.83556i | 0.113618 | + | 0.0655976i | ||||
\(784\) | 4.94565 | − | 2.85537i | 0.176630 | − | 0.101978i | ||||
\(785\) | 22.3055 | − | 22.3055i | 0.796116 | − | 0.796116i | ||||
\(786\) | 15.4253 | + | 4.13319i | 0.550201 | + | 0.147426i | ||||
\(787\) | −26.5978 | − | 7.12685i | −0.948108 | − | 0.254045i | −0.248549 | − | 0.968619i | \(-0.579954\pi\) |
−0.699559 | + | 0.714574i | \(0.746620\pi\) | |||||||
\(788\) | 4.26106 | − | 4.26106i | 0.151794 | − | 0.151794i | ||||
\(789\) | −9.53801 | + | 5.50677i | −0.339562 | + | 0.196046i | ||||
\(790\) | 39.9890 | + | 23.0877i | 1.42275 | + | 0.821423i | ||||
\(791\) | 7.61844 | + | 28.4324i | 0.270881 | + | 1.01094i | ||||
\(792\) | 7.74000 | + | 6.53728i | 0.275029 | + | 0.232292i | ||||
\(793\) | −1.51573 | − | 8.46009i | −0.0538253 | − | 0.300426i | ||||
\(794\) | 1.16732i | 0.0414266i | ||||||||
\(795\) | −5.66929 | − | 21.1581i | −0.201069 | − | 0.750399i | ||||
\(796\) | 4.24577 | − | 7.35389i | 0.150487 | − | 0.260652i | ||||
\(797\) | −23.6364 | + | 13.6465i | −0.837243 | + | 0.483383i | −0.856326 | − | 0.516435i | \(-0.827259\pi\) |
0.0190829 | + | 0.999818i | \(0.493925\pi\) | |||||||
\(798\) | 6.59631 | + | 6.59631i | 0.233507 | + | 0.233507i | ||||
\(799\) | 4.76389 | − | 17.7791i | 0.168534 | − | 0.628978i | ||||
\(800\) | 28.6967 | + | 7.68925i | 1.01458 | + | 0.271856i | ||||
\(801\) | 11.5952 | + | 11.5952i | 0.409697 | + | 0.409697i | ||||
\(802\) | −6.10190 | + | 3.52294i | −0.215466 | + | 0.124399i | ||||
\(803\) | −44.6119 | + | 16.0747i | −1.57432 | + | 0.567263i | ||||
\(804\) | −4.69977 | + | 1.25930i | −0.165748 | + | 0.0444120i | ||||
\(805\) | 29.6892 | 1.04641 | ||||||||
\(806\) | −6.78657 | − | 8.04292i | −0.239047 | − | 0.283300i | ||||
\(807\) | −11.4635 | −0.403536 | ||||||||
\(808\) | −9.48106 | − | 35.3838i | −0.333543 | − | 1.24480i | ||||
\(809\) | −23.9374 | − | 13.8203i | −0.841594 | − | 0.485895i | 0.0162117 | − | 0.999869i | \(-0.494839\pi\) |
−0.857806 | + | 0.513974i | \(0.828173\pi\) | |||||||
\(810\) | 2.51263 | + | 4.35201i | 0.0882849 | + | 0.152914i | ||||
\(811\) | −18.8788 | − | 18.8788i | −0.662923 | − | 0.662923i | 0.293145 | − | 0.956068i | \(-0.405298\pi\) |
−0.956068 | + | 0.293145i | \(0.905298\pi\) | |||||||
\(812\) | 3.70709 | + | 0.993312i | 0.130093 | + | 0.0348584i | ||||
\(813\) | −9.37136 | − | 2.51105i | −0.328668 | − | 0.0880663i | ||||
\(814\) | −36.7209 | + | 3.09336i | −1.28707 | + | 0.108422i | ||||
\(815\) | 4.55331 | + | 7.88656i | 0.159495 | + | 0.276254i | ||||
\(816\) | 5.58339 | − | 9.67071i | 0.195458 | − | 0.338543i | ||||
\(817\) | −35.5184 | + | 9.51712i | −1.24263 | + | 0.332962i | ||||
\(818\) | − | 19.8759i | − | 0.694944i | ||||||
\(819\) | 8.02785 | + | 0.680114i | 0.280516 | + | 0.0237651i | ||||
\(820\) | 4.12696i | 0.144120i | ||||||||
\(821\) | −4.35064 | + | 1.16575i | −0.151838 | + | 0.0406850i | −0.333938 | − | 0.942595i | \(-0.608377\pi\) |
0.182099 | + | 0.983280i | \(0.441711\pi\) | |||||||
\(822\) | −1.70938 | − | 0.986909i | −0.0596213 | − | 0.0344224i | ||||
\(823\) | −31.7517 | + | 18.3318i | −1.10679 | + | 0.639008i | −0.937997 | − | 0.346643i | \(-0.887322\pi\) |
−0.168797 | + | 0.985651i | \(0.553988\pi\) | |||||||
\(824\) | −7.02528 | − | 7.02528i | −0.244737 | − | 0.244737i | ||||
\(825\) | 21.7425 | + | 31.2656i | 0.756976 | + | 1.08853i | ||||
\(826\) | 0.0584025 | − | 0.217961i | 0.00203208 | − | 0.00758384i | ||||
\(827\) | −36.6500 | + | 36.6500i | −1.27444 | + | 1.27444i | −0.330714 | + | 0.943731i | \(0.607289\pi\) |
−0.943731 | + | 0.330714i | \(0.892711\pi\) | |||||||
\(828\) | −0.765578 | − | 1.32602i | −0.0266057 | − | 0.0460824i | ||||
\(829\) | 38.8490 | + | 22.4295i | 1.34928 | + | 0.779008i | 0.988148 | − | 0.153506i | \(-0.0490565\pi\) |
0.361133 | + | 0.932514i | \(0.382390\pi\) | |||||||
\(830\) | 31.0314 | − | 8.31484i | 1.07712 | − | 0.288612i | ||||
\(831\) | −7.26497 | −0.252019 | ||||||||
\(832\) | 30.1621 | + | 10.8843i | 1.04568 | + | 0.377345i | ||||
\(833\) | 7.87649i | 0.272904i | ||||||||
\(834\) | −5.90973 | − | 22.0554i | −0.204637 | − | 0.763717i | ||||
\(835\) | 78.9317 | + | 45.5712i | 2.73154 | + | 1.57706i | ||||
\(836\) | 0.925404 | − | 5.15103i | 0.0320058 | − | 0.178152i | ||||
\(837\) | −1.66735 | + | 1.66735i | −0.0576321 | + | 0.0576321i | ||||
\(838\) | 6.94788 | − | 25.9298i | 0.240011 | − | 0.895731i | ||||
\(839\) | −12.9503 | + | 48.3313i | −0.447095 | + | 1.66858i | 0.263249 | + | 0.964728i | \(0.415206\pi\) |
−0.710344 | + | 0.703855i | \(0.751461\pi\) | |||||||
\(840\) | 19.5949 | + | 19.5949i | 0.676089 | + | 0.676089i | ||||
\(841\) | −7.76143 | − | 13.4432i | −0.267636 | − | 0.463558i | ||||
\(842\) | −20.2189 | + | 35.0202i | −0.696791 | + | 1.20688i | ||||
\(843\) | 1.61996 | + | 6.04578i | 0.0557944 | + | 0.208228i | ||||
\(844\) | 9.36450 | 0.322339 | ||||||||
\(845\) | 52.5510 | − | 4.88889i | 1.80781 | − | 0.168183i | ||||
\(846\) | 5.80540i | 0.199594i | ||||||||
\(847\) | 10.2438 | + | 22.3431i | 0.351983 | + | 0.767719i | ||||
\(848\) | 7.67604 | − | 13.2953i | 0.263596 | − | 0.456562i | ||||
\(849\) | −3.67452 | − | 6.36445i | −0.126109 | − | 0.218427i | ||||
\(850\) | 39.4409 | − | 39.4409i | 1.35281 | − | 1.35281i | ||||
\(851\) | 28.3763 | + | 7.60340i | 0.972726 | + | 0.260641i | ||||
\(852\) | −1.40230 | + | 5.23344i | −0.0480419 | + | 0.179295i | ||||
\(853\) | −13.4901 | + | 13.4901i | −0.461892 | + | 0.461892i | −0.899275 | − | 0.437383i | \(-0.855905\pi\) |
0.437383 | + | 0.899275i | \(0.355905\pi\) | |||||||
\(854\) | 5.70985 | − | 3.29659i | 0.195387 | − | 0.112807i | ||||
\(855\) | 6.84643 | − | 11.8584i | 0.234143 | − | 0.405547i | ||||
\(856\) | −18.9293 | + | 5.07210i | −0.646991 | + | 0.173361i | ||||
\(857\) | 25.1653 | 0.859630 | 0.429815 | − | 0.902917i | \(-0.358579\pi\) | ||||
0.429815 | + | 0.902917i | \(0.358579\pi\) | |||||||
\(858\) | 7.39486 | + | 12.8224i | 0.252456 | + | 0.437748i | ||||
\(859\) | 43.0641 | 1.46933 | 0.734664 | − | 0.678431i | \(-0.237340\pi\) | ||||
0.734664 | + | 0.678431i | \(0.237340\pi\) | |||||||
\(860\) | −20.0026 | + | 5.35969i | −0.682084 | + | 0.182764i | ||||
\(861\) | −2.42751 | + | 4.20458i | −0.0827294 | + | 0.143292i | ||||
\(862\) | 25.0017 | − | 14.4347i | 0.851562 | − | 0.491649i | ||||
\(863\) | −12.9602 | + | 12.9602i | −0.441170 | + | 0.441170i | −0.892405 | − | 0.451235i | \(-0.850984\pi\) |
0.451235 | + | 0.892405i | \(0.350984\pi\) | |||||||
\(864\) | 0.669662 | − | 2.49921i | 0.0227824 | − | 0.0850249i | ||||
\(865\) | −48.1267 | − | 12.8955i | −1.63636 | − | 0.438460i | ||||
\(866\) | −25.0170 | + | 25.0170i | −0.850112 | + | 0.850112i | ||||
\(867\) | −0.799174 | − | 1.38421i | −0.0271414 | − | 0.0470102i | ||||
\(868\) | −1.23255 | + | 2.13483i | −0.0418354 | + | 0.0724610i | ||||
\(869\) | 12.9684 | − | 27.5783i | 0.439924 | − | 0.935530i | ||||
\(870\) | 18.4484i | 0.625458i | ||||||||
\(871\) | −37.3629 | − | 3.16536i | −1.26599 | − | 0.107254i | ||||
\(872\) | −3.18845 | −0.107974 | ||||||||
\(873\) | 1.24223 | + | 4.63608i | 0.0420432 | + | 0.156907i | ||||
\(874\) | 6.83147 | − | 11.8325i | 0.231078 | − | 0.400239i | ||||
\(875\) | 29.4027 | + | 50.9270i | 0.993993 | + | 1.72165i | ||||
\(876\) | 4.72996 | + | 4.72996i | 0.159810 | + | 0.159810i | ||||
\(877\) | −1.04804 | + | 3.91135i | −0.0353899 | + | 0.132077i | −0.981361 | − | 0.192175i | \(-0.938446\pi\) |
0.945971 | + | 0.324252i | \(0.105113\pi\) | |||||||
\(878\) | 2.38504 | − | 8.90109i | 0.0804912 | − | 0.300397i | ||||
\(879\) | −6.22647 | + | 6.22647i | −0.210013 | + | 0.210013i | ||||
\(880\) | −6.77468 | + | 37.7095i | −0.228374 | + | 1.27119i | ||||
\(881\) | −2.60804 | − | 1.50575i | −0.0878671 | − | 0.0507301i | 0.455423 | − | 0.890275i | \(-0.349488\pi\) |
−0.543290 | + | 0.839545i | \(0.682821\pi\) | |||||||
\(882\) | −0.642977 | − | 2.39962i | −0.0216501 | − | 0.0807994i | ||||
\(883\) | − | 4.53816i | − | 0.152721i | −0.997080 | − | 0.0763607i | \(-0.975670\pi\) | ||
0.997080 | − | 0.0763607i | \(-0.0243301\pi\) | |||||||
\(884\) | −5.05959 | + | 4.26925i | −0.170172 | + | 0.143591i | ||||
\(885\) | −0.331218 | −0.0111338 | ||||||||
\(886\) | −39.2911 | + | 10.5280i | −1.32001 | + | 0.353696i | ||||
\(887\) | 7.65478 | + | 4.41949i | 0.257022 | + | 0.148392i | 0.622975 | − | 0.782241i | \(-0.285924\pi\) |
−0.365953 | + | 0.930633i | \(0.619257\pi\) | |||||||
\(888\) | 13.7101 | + | 23.7467i | 0.460082 | + | 0.796886i | ||||
\(889\) | −5.24847 | + | 5.24847i | −0.176028 | + | 0.176028i | ||||
\(890\) | −21.3279 | + | 79.5970i | −0.714914 | + | 2.66810i | ||||
\(891\) | 2.72294 | − | 1.89357i | 0.0912220 | − | 0.0634369i | ||||
\(892\) | 1.84324 | + | 1.84324i | 0.0617161 | + | 0.0617161i | ||||
\(893\) | 13.6993 | − | 7.90928i | 0.458429 | − | 0.264674i | ||||
\(894\) | −15.8068 | − | 9.12609i | −0.528660 | − | 0.305222i | ||||
\(895\) | 3.34081 | − | 0.895167i | 0.111671 | − | 0.0299221i | ||||
\(896\) | 13.0351i | 0.435472i | ||||||||
\(897\) | −2.08098 | − | 11.6150i | −0.0694819 | − | 0.387814i | ||||
\(898\) | − | 17.9003i | − | 0.597340i | ||||||
\(899\) | −8.36152 | + | 2.24046i | −0.278872 | + | 0.0747236i | ||||
\(900\) | 2.68602 | − | 4.65232i | 0.0895339 | − | 0.155077i | ||||
\(901\) | 10.5871 | + | 18.3374i | 0.352708 | + | 0.610907i | ||||
\(902\) | −8.88837 | + | 0.748755i | −0.295950 | + | 0.0249308i | ||||
\(903\) | −23.5314 | − | 6.30523i | −0.783077 | − | 0.209825i | ||||
\(904\) | 38.8689 | + | 10.4149i | 1.29276 | + | 0.346395i | ||||
\(905\) | −54.6543 | − | 54.6543i | −1.81677 | − | 1.81677i | ||||
\(906\) | −14.7293 | − | 25.5120i | −0.489350 | − | 0.847579i | ||||
\(907\) | 50.7157 | + | 29.2807i | 1.68399 | + | 0.972250i | 0.958965 | + | 0.283525i | \(0.0915037\pi\) |
0.725022 | + | 0.688726i | \(0.241830\pi\) | |||||||
\(908\) | −0.0614329 | − | 0.229271i | −0.00203872 | − | 0.00760862i | ||||
\(909\) | −11.9920 | −0.397749 | ||||||||
\(910\) | 17.2112 | + | 36.6461i | 0.570545 | + | 1.21481i | ||||
\(911\) | 0.664807 | 0.0220260 | 0.0110130 | − | 0.999939i | \(-0.496494\pi\) | ||||
0.0110130 | + | 0.999939i | \(0.496494\pi\) | |||||||
\(912\) | 9.26986 | − | 2.48385i | 0.306956 | − | 0.0822485i | ||||
\(913\) | −7.18752 | − | 19.9475i | −0.237872 | − | 0.660165i | ||||
\(914\) | −9.14116 | + | 5.27765i | −0.302363 | + | 0.174569i | ||||
\(915\) | −6.84317 | − | 6.84317i | −0.226228 | − | 0.226228i | ||||
\(916\) | 5.86176 | + | 1.57065i | 0.193678 | + | 0.0518959i | ||||
\(917\) | 7.46132 | − | 27.8460i | 0.246395 | − | 0.919557i | ||||
\(918\) | −3.43494 | − | 3.43494i | −0.113370 | − | 0.113370i | ||||
\(919\) | 0.389717 | − | 0.225003i | 0.0128556 | − | 0.00742217i | −0.493558 | − | 0.869713i | \(-0.664304\pi\) |
0.506414 | + | 0.862290i | \(0.330971\pi\) | |||||||
\(920\) | 20.2935 | − | 35.1494i | 0.669057 | − | 1.15884i | ||||
\(921\) | −1.22827 | − | 4.58398i | −0.0404730 | − | 0.151047i | ||||
\(922\) | 41.1518i | 1.35526i | ||||||||
\(923\) | −23.8554 | + | 34.2691i | −0.785209 | + | 1.12798i | ||||
\(924\) | 2.23727 | − | 2.64888i | 0.0736008 | − | 0.0871417i | ||||
\(925\) | 26.6764 | + | 99.5576i | 0.877114 | + | 3.27344i | ||||
\(926\) | 25.9874 | + | 15.0039i | 0.854001 | + | 0.493057i | ||||
\(927\) | −2.81669 | + | 1.62622i | −0.0925123 | + | 0.0534120i | ||||
\(928\) | 6.71650 | − | 6.71650i | 0.220480 | − | 0.220480i | ||||
\(929\) | 31.0369 | + | 8.31631i | 1.01829 | + | 0.272849i | 0.729088 | − | 0.684420i | \(-0.239944\pi\) |
0.289199 | + | 0.957269i | \(0.406611\pi\) | |||||||
\(930\) | −11.4458 | − | 3.06688i | −0.375322 | − | 0.100567i | ||||
\(931\) | −4.78651 | + | 4.78651i | −0.156872 | + | 0.156872i | ||||
\(932\) | −11.4694 | + | 6.62188i | −0.375694 | + | 0.216907i | ||||
\(933\) | −24.6194 | − | 14.2140i | −0.806004 | − | 0.465346i | ||||
\(934\) | 2.19229 | + | 8.18175i | 0.0717341 | + | 0.267715i | ||||
\(935\) | −40.3704 | − | 34.0973i | −1.32025 | − | 1.11510i | ||||
\(936\) | 6.29249 | − | 9.03939i | 0.205676 | − | 0.295462i | ||||
\(937\) | − | 8.11142i | − | 0.264989i | −0.991184 | − | 0.132494i | \(-0.957701\pi\) | ||
0.991184 | − | 0.132494i | \(-0.0422986\pi\) | |||||||
\(938\) | −7.44473 | − | 27.7841i | −0.243079 | − | 0.907183i | ||||
\(939\) | 2.72251 | − | 4.71552i | 0.0888457 | − | 0.153885i | ||||
\(940\) | 7.71492 | − | 4.45421i | 0.251633 | − | 0.145280i | ||||
\(941\) | −24.8192 | − | 24.8192i | −0.809084 | − | 0.809084i | 0.175412 | − | 0.984495i | \(-0.443874\pi\) |
−0.984495 | + | 0.175412i | \(0.943874\pi\) | |||||||
\(942\) | 2.48922 | − | 9.28991i | 0.0811033 | − | 0.302682i | ||||
\(943\) | 6.86853 | + | 1.84042i | 0.223670 | + | 0.0599322i | ||||
\(944\) | −0.164147 | − | 0.164147i | −0.00534254 | − | 0.00534254i | ||||
\(945\) | 7.85633 | − | 4.53586i | 0.255567 | − | 0.147551i | ||||
\(946\) | −15.1724 | − | 42.1079i | −0.493298 | − | 1.36905i | ||||
\(947\) | −3.78617 | + | 1.01450i | −0.123034 | + | 0.0329669i | −0.319811 | − | 0.947481i | \(-0.603619\pi\) |
0.196777 | + | 0.980448i | \(0.436953\pi\) | |||||||
\(948\) | −4.29894 | −0.139623 | ||||||||
\(949\) | 21.9146 | + | 46.6606i | 0.711377 | + | 1.51467i | ||||
\(950\) | 47.9362 | 1.55526 | ||||||||
\(951\) | 5.67417 | + | 21.1763i | 0.183998 | + | 0.686689i | ||||
\(952\) | −23.1987 | − | 13.3938i | −0.751875 | − | 0.434095i | ||||
\(953\) | −12.6958 | − | 21.9898i | −0.411258 | − | 0.712319i | 0.583770 | − | 0.811919i | \(-0.301577\pi\) |
−0.995028 | + | 0.0996001i | \(0.968244\pi\) | |||||||
\(954\) | −4.72235 | − | 4.72235i | −0.152892 | − | 0.152892i | ||||
\(955\) | −11.0529 | − | 2.96162i | −0.357664 | − | 0.0958358i | ||||
\(956\) | −8.82545 | − | 2.36477i | −0.285435 | − | 0.0764822i | ||||
\(957\) | 12.1328 | − | 1.02206i | 0.392196 | − | 0.0330386i | ||||
\(958\) | −7.38675 | − | 12.7942i | −0.238655 | − | 0.413363i | ||||
\(959\) | −1.78159 | + | 3.08580i | −0.0575305 | + | 0.0996457i | ||||
\(960\) | 34.8757 | − | 9.34492i | 1.12561 | − | 0.301606i | ||||
\(961\) | 25.4399i | 0.820641i | ||||||||
\(962\) | 7.06499 | + | 39.4333i | 0.227784 | + | 1.27138i | ||||
\(963\) | 6.41537i | 0.206732i | ||||||||
\(964\) | −0.694435 | + | 0.186073i | −0.0223662 | + | 0.00599302i | ||||
\(965\) | 45.4291 | + | 26.2285i | 1.46241 | + | 0.844325i | ||||
\(966\) | 7.83917 | − | 4.52595i | 0.252221 | − | 0.145620i | ||||
\(967\) | −24.2573 | − | 24.2573i | −0.780062 | − | 0.780062i | 0.199779 | − | 0.979841i | \(-0.435978\pi\) |
−0.979841 | + | 0.199779i | \(0.935978\pi\) | |||||||
\(968\) | 33.4543 | + | 3.14443i | 1.07526 | + | 0.101066i | ||||
\(969\) | −3.42582 | + | 12.7853i | −0.110053 | + | 0.410725i | ||||
\(970\) | −17.0550 | + | 17.0550i | −0.547602 | + | 0.547602i | ||||
\(971\) | 4.44830 | + | 7.70469i | 0.142753 | + | 0.247255i | 0.928532 | − | 0.371252i | \(-0.121071\pi\) |
−0.785779 | + | 0.618507i | \(0.787738\pi\) | |||||||
\(972\) | −0.405173 | − | 0.233927i | −0.0129959 | − | 0.00750321i | ||||
\(973\) | −39.8149 | + | 10.6684i | −1.27641 | + | 0.342012i | ||||
\(974\) | −16.0127 | −0.513081 | ||||||||
\(975\) | 31.6409 | − | 26.6985i | 1.01332 | − | 0.855035i | ||||
\(976\) | − | 6.78278i | − | 0.217112i | ||||||
\(977\) | −11.1604 | − | 41.6511i | −0.357052 | − | 1.33254i | −0.877882 | − | 0.478877i | \(-0.841044\pi\) |
0.520830 | − | 0.853660i | \(-0.325623\pi\) | |||||||
\(978\) | 2.40452 | + | 1.38825i | 0.0768882 | + | 0.0443914i | ||||
\(979\) | 53.5294 | + | 9.61679i | 1.71081 | + | 0.307354i | ||||
\(980\) | −2.69558 | + | 2.69558i | −0.0861073 | + | 0.0861073i | ||||
\(981\) | −0.270151 | + | 1.00822i | −0.00862525 | + | 0.0321899i | ||||
\(982\) | 5.28170 | − | 19.7116i | 0.168546 | − | 0.629021i | ||||
\(983\) | −18.7409 | − | 18.7409i | −0.597741 | − | 0.597741i | 0.341970 | − | 0.939711i | \(-0.388906\pi\) |
−0.939711 | + | 0.341970i | \(0.888906\pi\) | |||||||
\(984\) | 3.31857 | + | 5.74793i | 0.105792 | + | 0.183237i | ||||
\(985\) | 26.1458 | − | 45.2858i | 0.833073 | − | 1.44292i | ||||
\(986\) | −4.61561 | − | 17.2257i | −0.146991 | − | 0.548577i | ||||
\(987\) | 10.4800 | 0.333583 | ||||||||
\(988\) | −5.66910 | − | 0.480282i | −0.180358 | − | 0.0152798i | ||||
\(989\) | 35.6807i | 1.13458i | ||||||||
\(990\) | 15.0826 | + | 7.09242i | 0.479355 | + | 0.225412i | ||||
\(991\) | −15.2742 | + | 26.4557i | −0.485202 | + | 0.840394i | −0.999855 | − | 0.0170041i | \(-0.994587\pi\) |
0.514654 | + | 0.857398i | \(0.327921\pi\) | |||||||
\(992\) | 3.05051 | + | 5.28363i | 0.0968537 | + | 0.167755i | ||||
\(993\) | 13.6383 | − | 13.6383i | 0.432798 | − | 0.432798i | ||||
\(994\) | −30.9391 | − | 8.29010i | −0.981328 | − | 0.262946i | ||||
\(995\) | 19.0713 | − | 71.1752i | 0.604602 | − | 2.25640i | ||||
\(996\) | −2.11492 | + | 2.11492i | −0.0670138 | + | 0.0670138i | ||||
\(997\) | 34.0232 | − | 19.6433i | 1.07753 | − | 0.622110i | 0.147298 | − | 0.989092i | \(-0.452943\pi\) |
0.930228 | + | 0.366983i | \(0.119609\pi\) | |||||||
\(998\) | −3.63189 | + | 6.29062i | −0.114965 | + | 0.199126i | ||||
\(999\) | 8.67054 | − | 2.32326i | 0.274324 | − | 0.0735048i |
(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 | 429.2.bd.b.175.5 | yes | 56 | |
11.10 | odd | 2 | inner | 429.2.bd.b.175.10 | yes | 56 | |
13.11 | odd | 12 | inner | 429.2.bd.b.76.10 | yes | 56 | |
143.76 | even | 12 | inner | 429.2.bd.b.76.5 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bd.b.76.5 | ✓ | 56 | 143.76 | even | 12 | inner | |
429.2.bd.b.76.10 | yes | 56 | 13.11 | odd | 12 | inner | |
429.2.bd.b.175.5 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bd.b.175.10 | yes | 56 | 11.10 | odd | 2 | inner |