Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(499,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.499");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.ba (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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 499.12 | ||
Character | \(\chi\) | \(=\) | 630.499 |
Dual form | 630.2.ba.a.529.36 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0.249049 | − | 1.71405i | 0.143788 | − | 0.989608i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −2.03021 | − | 0.937140i | −0.907939 | − | 0.419102i | ||||
\(6\) | −1.71405 | − | 0.249049i | −0.699759 | − | 0.101674i | ||||
\(7\) | −0.981558 | + | 2.45694i | −0.370994 | + | 0.928635i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −2.87595 | − | 0.853766i | −0.958650 | − | 0.284589i | ||||
\(10\) | −0.937140 | + | 2.03021i | −0.296350 | + | 0.642010i | ||||
\(11\) | −0.930226 | + | 1.61120i | −0.280474 | + | 0.485795i | −0.971501 | − | 0.237033i | \(-0.923825\pi\) |
0.691028 | + | 0.722828i | \(0.257158\pi\) | |||||||
\(12\) | −0.249049 | + | 1.71405i | −0.0718942 | + | 0.494804i | ||||
\(13\) | 2.13798 | + | 1.23436i | 0.592968 | + | 0.342350i | 0.766270 | − | 0.642519i | \(-0.222110\pi\) |
−0.173302 | + | 0.984869i | \(0.555444\pi\) | |||||||
\(14\) | 2.45694 | + | 0.981558i | 0.656644 | + | 0.262332i | ||||
\(15\) | −2.11193 | + | 3.24650i | −0.545298 | + | 0.838242i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −6.17648 | + | 3.56599i | −1.49802 | + | 0.864881i | −0.999997 | − | 0.00228505i | \(-0.999273\pi\) |
−0.498020 | + | 0.867166i | \(0.665939\pi\) | |||||||
\(18\) | −0.853766 | + | 2.87595i | −0.201235 | + | 0.677868i | ||||
\(19\) | 2.57424 | − | 4.45871i | 0.590571 | − | 1.02290i | −0.403585 | − | 0.914942i | \(-0.632236\pi\) |
0.994156 | − | 0.107956i | \(-0.0344307\pi\) | |||||||
\(20\) | 2.03021 | + | 0.937140i | 0.453970 | + | 0.209551i | ||||
\(21\) | 3.96686 | + | 2.29434i | 0.865641 | + | 0.500666i | ||||
\(22\) | 1.61120 | + | 0.930226i | 0.343509 | + | 0.198325i | ||||
\(23\) | −3.49065 | + | 2.01533i | −0.727850 | + | 0.420224i | −0.817635 | − | 0.575737i | \(-0.804715\pi\) |
0.0897851 | + | 0.995961i | \(0.471382\pi\) | |||||||
\(24\) | 1.71405 | + | 0.249049i | 0.349879 | + | 0.0508369i | ||||
\(25\) | 3.24354 | + | 3.80519i | 0.648708 | + | 0.761038i | ||||
\(26\) | 1.23436 | − | 2.13798i | 0.242078 | − | 0.419291i | ||||
\(27\) | −2.17965 | + | 4.71690i | −0.419474 | + | 0.907767i | ||||
\(28\) | 0.981558 | − | 2.45694i | 0.185497 | − | 0.464318i | ||||
\(29\) | −0.563512 | − | 0.976031i | −0.104641 | − | 0.181244i | 0.808950 | − | 0.587877i | \(-0.200036\pi\) |
−0.913592 | + | 0.406633i | \(0.866703\pi\) | |||||||
\(30\) | 3.24650 | + | 2.11193i | 0.592727 | + | 0.385584i | ||||
\(31\) | 0.0248928 | 0.00447087 | 0.00223544 | − | 0.999998i | \(-0.499288\pi\) | ||||
0.00223544 | + | 0.999998i | \(0.499288\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 2.53001 | + | 1.99572i | 0.440418 | + | 0.347411i | ||||
\(34\) | 3.56599 | + | 6.17648i | 0.611563 | + | 1.05926i | ||||
\(35\) | 4.29527 | − | 4.06825i | 0.726033 | − | 0.687660i | ||||
\(36\) | 2.87595 | + | 0.853766i | 0.479325 | + | 0.142294i | ||||
\(37\) | −0.142548 | − | 0.0823004i | −0.0234348 | − | 0.0135301i | 0.488237 | − | 0.872711i | \(-0.337640\pi\) |
−0.511672 | + | 0.859181i | \(0.670974\pi\) | |||||||
\(38\) | −4.45871 | − | 2.57424i | −0.723299 | − | 0.417597i | ||||
\(39\) | 2.64822 | − | 3.35719i | 0.424054 | − | 0.537580i | ||||
\(40\) | 0.937140 | − | 2.03021i | 0.148175 | − | 0.321005i | ||||
\(41\) | −2.73422 | + | 4.73581i | −0.427013 | + | 0.739609i | −0.996606 | − | 0.0823184i | \(-0.973768\pi\) |
0.569593 | + | 0.821927i | \(0.307101\pi\) | |||||||
\(42\) | 2.29434 | − | 3.96686i | 0.354024 | − | 0.612100i | ||||
\(43\) | −5.90484 | + | 3.40916i | −0.900480 | + | 0.519892i | −0.877356 | − | 0.479840i | \(-0.840695\pi\) |
−0.0231240 | + | 0.999733i | \(0.507361\pi\) | |||||||
\(44\) | 0.930226 | − | 1.61120i | 0.140237 | − | 0.242897i | ||||
\(45\) | 5.03869 | + | 4.42849i | 0.751124 | + | 0.660161i | ||||
\(46\) | 2.01533 | + | 3.49065i | 0.297144 | + | 0.514668i | ||||
\(47\) | − | 12.5226i | − | 1.82661i | −0.407272 | − | 0.913307i | \(-0.633520\pi\) | ||
0.407272 | − | 0.913307i | \(-0.366480\pi\) | |||||||
\(48\) | 0.249049 | − | 1.71405i | 0.0359471 | − | 0.247402i | ||||
\(49\) | −5.07309 | − | 4.82326i | −0.724727 | − | 0.689036i | ||||
\(50\) | 3.80519 | − | 3.24354i | 0.538135 | − | 0.458706i | ||||
\(51\) | 4.57405 | + | 11.4749i | 0.640496 | + | 1.60681i | ||||
\(52\) | −2.13798 | − | 1.23436i | −0.296484 | − | 0.171175i | ||||
\(53\) | −2.19776 | + | 1.26888i | −0.301885 | + | 0.174294i | −0.643290 | − | 0.765623i | \(-0.722431\pi\) |
0.341404 | + | 0.939917i | \(0.389098\pi\) | |||||||
\(54\) | 4.71690 | + | 2.17965i | 0.641888 | + | 0.296613i | ||||
\(55\) | 3.39848 | − | 2.39933i | 0.458251 | − | 0.323525i | ||||
\(56\) | −2.45694 | − | 0.981558i | −0.328322 | − | 0.131166i | ||||
\(57\) | −7.00135 | − | 5.52282i | −0.927352 | − | 0.731515i | ||||
\(58\) | −0.976031 | + | 0.563512i | −0.128159 | + | 0.0739927i | ||||
\(59\) | 8.64779 | 1.12585 | 0.562923 | − | 0.826509i | \(-0.309677\pi\) | ||||
0.562923 | + | 0.826509i | \(0.309677\pi\) | |||||||
\(60\) | 2.11193 | − | 3.24650i | 0.272649 | − | 0.419121i | ||||
\(61\) | −6.43535 | −0.823963 | −0.411981 | − | 0.911192i | \(-0.635163\pi\) | ||||
−0.411981 | + | 0.911192i | \(0.635163\pi\) | |||||||
\(62\) | − | 0.0248928i | − | 0.00316139i | ||||||
\(63\) | 4.92056 | − | 6.22801i | 0.619932 | − | 0.784655i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −3.18378 | − | 4.50960i | −0.394899 | − | 0.559347i | ||||
\(66\) | 1.99572 | − | 2.53001i | 0.245657 | − | 0.311422i | ||||
\(67\) | 15.7434i | 1.92336i | 0.274178 | + | 0.961679i | \(0.411594\pi\) | ||||
−0.274178 | + | 0.961679i | \(0.588406\pi\) | |||||||
\(68\) | 6.17648 | − | 3.56599i | 0.749009 | − | 0.432440i | ||||
\(69\) | 2.58503 | + | 6.48506i | 0.311201 | + | 0.780710i | ||||
\(70\) | −4.06825 | − | 4.29527i | −0.486249 | − | 0.513383i | ||||
\(71\) | −10.0316 | −1.19053 | −0.595264 | − | 0.803531i | \(-0.702952\pi\) | ||||
−0.595264 | + | 0.803531i | \(0.702952\pi\) | |||||||
\(72\) | 0.853766 | − | 2.87595i | 0.100617 | − | 0.338934i | ||||
\(73\) | 8.79348 | − | 5.07692i | 1.02920 | − | 0.594208i | 0.112444 | − | 0.993658i | \(-0.464132\pi\) |
0.916755 | + | 0.399450i | \(0.130799\pi\) | |||||||
\(74\) | −0.0823004 | + | 0.142548i | −0.00956722 | + | 0.0165709i | ||||
\(75\) | 7.33009 | − | 4.61192i | 0.846406 | − | 0.532538i | ||||
\(76\) | −2.57424 | + | 4.45871i | −0.295285 | + | 0.511449i | ||||
\(77\) | −3.04554 | − | 3.86699i | −0.347072 | − | 0.440685i | ||||
\(78\) | −3.35719 | − | 2.64822i | −0.380126 | − | 0.299852i | ||||
\(79\) | −12.6647 | −1.42489 | −0.712443 | − | 0.701730i | \(-0.752411\pi\) | ||||
−0.712443 | + | 0.701730i | \(0.752411\pi\) | |||||||
\(80\) | −2.03021 | − | 0.937140i | −0.226985 | − | 0.104775i | ||||
\(81\) | 7.54217 | + | 4.91077i | 0.838019 | + | 0.545642i | ||||
\(82\) | 4.73581 | + | 2.73422i | 0.522982 | + | 0.301944i | ||||
\(83\) | −14.2772 | + | 8.24296i | −1.56713 | + | 0.904783i | −0.570628 | + | 0.821209i | \(0.693300\pi\) |
−0.996502 | + | 0.0835738i | \(0.973367\pi\) | |||||||
\(84\) | −3.96686 | − | 2.29434i | −0.432820 | − | 0.250333i | ||||
\(85\) | 15.8814 | − | 1.45150i | 1.72258 | − | 0.157438i | ||||
\(86\) | 3.40916 | + | 5.90484i | 0.367619 | + | 0.636735i | ||||
\(87\) | −1.81331 | + | 0.722809i | −0.194407 | + | 0.0774932i | ||||
\(88\) | −1.61120 | − | 0.930226i | −0.171754 | − | 0.0991624i | ||||
\(89\) | 2.70604 | − | 4.68699i | 0.286839 | − | 0.496820i | −0.686214 | − | 0.727400i | \(-0.740729\pi\) |
0.973054 | + | 0.230579i | \(0.0740621\pi\) | |||||||
\(90\) | 4.42849 | − | 5.03869i | 0.466804 | − | 0.531125i | ||||
\(91\) | −5.13130 | + | 4.04128i | −0.537906 | + | 0.423641i | ||||
\(92\) | 3.49065 | − | 2.01533i | 0.363925 | − | 0.210112i | ||||
\(93\) | 0.00619952 | − | 0.0426675i | 0.000642860 | − | 0.00442442i | ||||
\(94\) | −12.5226 | −1.29161 | ||||||||
\(95\) | −9.40469 | + | 6.63972i | −0.964901 | + | 0.681221i | ||||
\(96\) | −1.71405 | − | 0.249049i | −0.174940 | − | 0.0254185i | ||||
\(97\) | 3.56475 | − | 2.05811i | 0.361945 | − | 0.208969i | −0.307989 | − | 0.951390i | \(-0.599656\pi\) |
0.669934 | + | 0.742421i | \(0.266323\pi\) | |||||||
\(98\) | −4.82326 | + | 5.07309i | −0.487222 | + | 0.512459i | ||||
\(99\) | 4.05087 | − | 3.83953i | 0.407128 | − | 0.385887i | ||||
\(100\) | −3.24354 | − | 3.80519i | −0.324354 | − | 0.380519i | ||||
\(101\) | 1.58656 | − | 2.74800i | 0.157868 | − | 0.273436i | −0.776231 | − | 0.630448i | \(-0.782871\pi\) |
0.934100 | + | 0.357012i | \(0.116204\pi\) | |||||||
\(102\) | 11.4749 | − | 4.57405i | 1.13619 | − | 0.452899i | ||||
\(103\) | −8.39761 | + | 4.84836i | −0.827441 | + | 0.477724i | −0.852976 | − | 0.521950i | \(-0.825205\pi\) |
0.0255344 | + | 0.999674i | \(0.491871\pi\) | |||||||
\(104\) | −1.23436 | + | 2.13798i | −0.121039 | + | 0.209646i | ||||
\(105\) | −5.90347 | − | 8.37551i | −0.576119 | − | 0.817366i | ||||
\(106\) | 1.26888 | + | 2.19776i | 0.123244 | + | 0.213465i | ||||
\(107\) | 3.50826 | + | 2.02550i | 0.339156 | + | 0.195812i | 0.659899 | − | 0.751354i | \(-0.270599\pi\) |
−0.320743 | + | 0.947166i | \(0.603932\pi\) | |||||||
\(108\) | 2.17965 | − | 4.71690i | 0.209737 | − | 0.453884i | ||||
\(109\) | −3.82986 | − | 6.63352i | −0.366835 | − | 0.635376i | 0.622234 | − | 0.782831i | \(-0.286225\pi\) |
−0.989069 | + | 0.147455i | \(0.952892\pi\) | |||||||
\(110\) | −2.39933 | − | 3.39848i | −0.228767 | − | 0.324032i | ||||
\(111\) | −0.176569 | + | 0.223839i | −0.0167592 | + | 0.0212458i | ||||
\(112\) | −0.981558 | + | 2.45694i | −0.0927485 | + | 0.232159i | ||||
\(113\) | −13.1907 | − | 7.61565i | −1.24088 | − | 0.716420i | −0.271604 | − | 0.962409i | \(-0.587554\pi\) |
−0.969273 | + | 0.245989i | \(0.920887\pi\) | |||||||
\(114\) | −5.52282 | + | 7.00135i | −0.517259 | + | 0.655737i | ||||
\(115\) | 8.97540 | − | 0.820319i | 0.836960 | − | 0.0764951i | ||||
\(116\) | 0.563512 | + | 0.976031i | 0.0523207 | + | 0.0906222i | ||||
\(117\) | −5.09485 | − | 5.37529i | −0.471019 | − | 0.496946i | ||||
\(118\) | − | 8.64779i | − | 0.796094i | ||||||
\(119\) | −2.69885 | − | 18.6755i | −0.247403 | − | 1.71198i | ||||
\(120\) | −3.24650 | − | 2.11193i | −0.296363 | − | 0.192792i | ||||
\(121\) | 3.76936 | + | 6.52872i | 0.342669 | + | 0.593520i | ||||
\(122\) | 6.43535i | 0.582629i | ||||||||
\(123\) | 7.43646 | + | 5.86604i | 0.670523 | + | 0.528923i | ||||
\(124\) | −0.0248928 | −0.00223544 | ||||||||
\(125\) | −3.01908 | − | 10.7650i | −0.270035 | − | 0.962850i | ||||
\(126\) | −6.22801 | − | 4.92056i | −0.554835 | − | 0.438358i | ||||
\(127\) | 5.86205i | 0.520173i | 0.965585 | + | 0.260087i | \(0.0837511\pi\) | ||||
−0.965585 | + | 0.260087i | \(0.916249\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 4.37289 | + | 10.9703i | 0.385011 | + | 0.965877i | ||||
\(130\) | −4.50960 | + | 3.18378i | −0.395518 | + | 0.279236i | ||||
\(131\) | 8.44770 | + | 14.6319i | 0.738079 | + | 1.27839i | 0.953359 | + | 0.301839i | \(0.0976004\pi\) |
−0.215280 | + | 0.976552i | \(0.569066\pi\) | |||||||
\(132\) | −2.53001 | − | 1.99572i | −0.220209 | − | 0.173705i | ||||
\(133\) | 8.42801 | + | 10.7012i | 0.730801 | + | 0.927914i | ||||
\(134\) | 15.7434 | 1.36002 | ||||||||
\(135\) | 8.84555 | − | 7.53367i | 0.761304 | − | 0.648395i | ||||
\(136\) | −3.56599 | − | 6.17648i | −0.305781 | − | 0.529629i | ||||
\(137\) | 4.14127 | + | 2.39097i | 0.353813 | + | 0.204274i | 0.666363 | − | 0.745627i | \(-0.267850\pi\) |
−0.312550 | + | 0.949901i | \(0.601183\pi\) | |||||||
\(138\) | 6.48506 | − | 2.58503i | 0.552045 | − | 0.220052i | ||||
\(139\) | 0.819319 | − | 1.41910i | 0.0694937 | − | 0.120367i | −0.829185 | − | 0.558975i | \(-0.811195\pi\) |
0.898679 | + | 0.438608i | \(0.144528\pi\) | |||||||
\(140\) | −4.29527 | + | 4.06825i | −0.363016 | + | 0.343830i | ||||
\(141\) | −21.4644 | − | 3.11875i | −1.80763 | − | 0.262646i | ||||
\(142\) | 10.0316i | 0.841830i | ||||||||
\(143\) | −3.97760 | + | 2.29647i | −0.332624 | + | 0.192040i | ||||
\(144\) | −2.87595 | − | 0.853766i | −0.239662 | − | 0.0711471i | ||||
\(145\) | 0.229372 | + | 2.50964i | 0.0190483 | + | 0.208414i | ||||
\(146\) | −5.07692 | − | 8.79348i | −0.420169 | − | 0.727754i | ||||
\(147\) | −9.53076 | + | 7.49431i | −0.786084 | + | 0.618120i | ||||
\(148\) | 0.142548 | + | 0.0823004i | 0.0117174 | + | 0.00676505i | ||||
\(149\) | −0.566188 | − | 0.980667i | −0.0463840 | − | 0.0803394i | 0.841901 | − | 0.539632i | \(-0.181436\pi\) |
−0.888285 | + | 0.459292i | \(0.848103\pi\) | |||||||
\(150\) | −4.61192 | − | 7.33009i | −0.376561 | − | 0.598499i | ||||
\(151\) | −0.764783 | + | 1.32464i | −0.0622372 | + | 0.107798i | −0.895465 | − | 0.445132i | \(-0.853157\pi\) |
0.833228 | + | 0.552930i | \(0.186490\pi\) | |||||||
\(152\) | 4.45871 | + | 2.57424i | 0.361649 | + | 0.208798i | ||||
\(153\) | 20.8078 | − | 4.98235i | 1.68221 | − | 0.402799i | ||||
\(154\) | −3.86699 | + | 3.04554i | −0.311611 | + | 0.245417i | ||||
\(155\) | −0.0505377 | − | 0.0233280i | −0.00405928 | − | 0.00187375i | ||||
\(156\) | −2.64822 | + | 3.35719i | −0.212027 | + | 0.268790i | ||||
\(157\) | − | 1.85828i | − | 0.148307i | −0.997247 | − | 0.0741533i | \(-0.976375\pi\) | ||
0.997247 | − | 0.0741533i | \(-0.0236254\pi\) | |||||||
\(158\) | 12.6647i | 1.00755i | ||||||||
\(159\) | 1.62757 | + | 4.08308i | 0.129075 | + | 0.323810i | ||||
\(160\) | −0.937140 | + | 2.03021i | −0.0740874 | + | 0.160503i | ||||
\(161\) | −1.52526 | − | 10.5545i | −0.120207 | − | 0.831808i | ||||
\(162\) | 4.91077 | − | 7.54217i | 0.385827 | − | 0.592569i | ||||
\(163\) | −19.5044 | − | 11.2609i | −1.52771 | − | 0.882021i | −0.999458 | − | 0.0329304i | \(-0.989516\pi\) |
−0.528247 | − | 0.849090i | \(-0.677151\pi\) | |||||||
\(164\) | 2.73422 | − | 4.73581i | 0.213507 | − | 0.369804i | ||||
\(165\) | −3.26618 | − | 6.42272i | −0.254272 | − | 0.500008i | ||||
\(166\) | 8.24296 | + | 14.2772i | 0.639778 | + | 1.10813i | ||||
\(167\) | 1.38259 | + | 0.798239i | 0.106988 | + | 0.0617696i | 0.552539 | − | 0.833487i | \(-0.313659\pi\) |
−0.445551 | + | 0.895256i | \(0.646992\pi\) | |||||||
\(168\) | −2.29434 | + | 3.96686i | −0.177012 | + | 0.306050i | ||||
\(169\) | −3.45271 | − | 5.98026i | −0.265593 | − | 0.460020i | ||||
\(170\) | −1.45150 | − | 15.8814i | −0.111325 | − | 1.21805i | ||||
\(171\) | −11.2101 | + | 10.6252i | −0.857256 | + | 0.812532i | ||||
\(172\) | 5.90484 | − | 3.40916i | 0.450240 | − | 0.259946i | ||||
\(173\) | − | 22.5323i | − | 1.71310i | −0.516066 | − | 0.856549i | \(-0.672604\pi\) | ||
0.516066 | − | 0.856549i | \(-0.327396\pi\) | |||||||
\(174\) | 0.722809 | + | 1.81331i | 0.0547960 | + | 0.137467i | ||||
\(175\) | −12.5328 | + | 4.23416i | −0.947393 | + | 0.320072i | ||||
\(176\) | −0.930226 | + | 1.61120i | −0.0701184 | + | 0.121449i | ||||
\(177\) | 2.15372 | − | 14.8228i | 0.161884 | − | 1.11415i | ||||
\(178\) | −4.68699 | − | 2.70604i | −0.351305 | − | 0.202826i | ||||
\(179\) | −7.22646 | − | 12.5166i | −0.540131 | − | 0.935534i | −0.998896 | − | 0.0469763i | \(-0.985041\pi\) |
0.458765 | − | 0.888557i | \(-0.348292\pi\) | |||||||
\(180\) | −5.03869 | − | 4.42849i | −0.375562 | − | 0.330080i | ||||
\(181\) | 3.56702 | 0.265134 | 0.132567 | − | 0.991174i | \(-0.457678\pi\) | ||||
0.132567 | + | 0.991174i | \(0.457678\pi\) | |||||||
\(182\) | 4.04128 | + | 5.13130i | 0.299559 | + | 0.380357i | ||||
\(183\) | −1.60272 | + | 11.0305i | −0.118476 | + | 0.815400i | ||||
\(184\) | −2.01533 | − | 3.49065i | −0.148572 | − | 0.257334i | ||||
\(185\) | 0.212277 | + | 0.300675i | 0.0156069 | + | 0.0221061i | ||||
\(186\) | −0.0426675 | − | 0.00619952i | −0.00312853 | − | 0.000454571i | ||||
\(187\) | − | 13.2687i | − | 0.970305i | ||||||
\(188\) | 12.5226i | 0.913307i | ||||||||
\(189\) | −9.44967 | − | 9.98518i | −0.687362 | − | 0.726315i | ||||
\(190\) | 6.63972 | + | 9.40469i | 0.481696 | + | 0.682288i | ||||
\(191\) | −1.91746 | −0.138743 | −0.0693713 | − | 0.997591i | \(-0.522099\pi\) | ||||
−0.0693713 | + | 0.997591i | \(0.522099\pi\) | |||||||
\(192\) | −0.249049 | + | 1.71405i | −0.0179736 | + | 0.123701i | ||||
\(193\) | − | 14.2477i | − | 1.02557i | −0.858516 | − | 0.512787i | \(-0.828613\pi\) | ||
0.858516 | − | 0.512787i | \(-0.171387\pi\) | |||||||
\(194\) | −2.05811 | − | 3.56475i | −0.147763 | − | 0.255934i | ||||
\(195\) | −8.52260 | + | 4.33405i | −0.610316 | + | 0.310368i | ||||
\(196\) | 5.07309 | + | 4.82326i | 0.362363 | + | 0.344518i | ||||
\(197\) | − | 13.4264i | − | 0.956590i | −0.878199 | − | 0.478295i | \(-0.841255\pi\) | ||
0.878199 | − | 0.478295i | \(-0.158745\pi\) | |||||||
\(198\) | −3.83953 | − | 4.05087i | −0.272864 | − | 0.287883i | ||||
\(199\) | −3.33319 | − | 5.77325i | −0.236283 | − | 0.409255i | 0.723361 | − | 0.690470i | \(-0.242596\pi\) |
−0.959645 | + | 0.281215i | \(0.909263\pi\) | |||||||
\(200\) | −3.80519 | + | 3.24354i | −0.269067 | + | 0.229353i | ||||
\(201\) | 26.9849 | + | 3.92087i | 1.90337 | + | 0.276557i | ||||
\(202\) | −2.74800 | − | 1.58656i | −0.193349 | − | 0.111630i | ||||
\(203\) | 2.95117 | − | 0.426482i | 0.207131 | − | 0.0299332i | ||||
\(204\) | −4.57405 | − | 11.4749i | −0.320248 | − | 0.803405i | ||||
\(205\) | 9.98916 | − | 7.05235i | 0.697673 | − | 0.492558i | ||||
\(206\) | 4.84836 | + | 8.39761i | 0.337802 | + | 0.585089i | ||||
\(207\) | 11.7595 | − | 2.81578i | 0.817344 | − | 0.195710i | ||||
\(208\) | 2.13798 | + | 1.23436i | 0.148242 | + | 0.0855875i | ||||
\(209\) | 4.78925 | + | 8.29522i | 0.331279 | + | 0.573792i | ||||
\(210\) | −8.37551 | + | 5.90347i | −0.577965 | + | 0.407378i | ||||
\(211\) | 2.20274 | − | 3.81526i | 0.151643 | − | 0.262653i | −0.780189 | − | 0.625544i | \(-0.784877\pi\) |
0.931832 | + | 0.362891i | \(0.118210\pi\) | |||||||
\(212\) | 2.19776 | − | 1.26888i | 0.150943 | − | 0.0871468i | ||||
\(213\) | −2.49835 | + | 17.1946i | −0.171184 | + | 1.17816i | ||||
\(214\) | 2.02550 | − | 3.50826i | 0.138460 | − | 0.239820i | ||||
\(215\) | 15.1830 | − | 1.38767i | 1.03547 | − | 0.0946381i | ||||
\(216\) | −4.71690 | − | 2.17965i | −0.320944 | − | 0.148306i | ||||
\(217\) | −0.0244337 | + | 0.0611600i | −0.00165867 | + | 0.00415181i | ||||
\(218\) | −6.63352 | + | 3.82986i | −0.449279 | + | 0.259391i | ||||
\(219\) | −6.51210 | − | 16.3369i | −0.440047 | − | 1.10394i | ||||
\(220\) | −3.39848 | + | 2.39933i | −0.229125 | + | 0.161763i | ||||
\(221\) | −17.6069 | −1.18437 | ||||||||
\(222\) | 0.223839 | + | 0.176569i | 0.0150231 | + | 0.0118505i | ||||
\(223\) | 10.8925 | − | 6.28877i | 0.729413 | − | 0.421127i | −0.0887942 | − | 0.996050i | \(-0.528301\pi\) |
0.818207 | + | 0.574923i | \(0.194968\pi\) | |||||||
\(224\) | 2.45694 | + | 0.981558i | 0.164161 | + | 0.0655831i | ||||
\(225\) | −6.07951 | − | 13.7128i | −0.405301 | − | 0.914183i | ||||
\(226\) | −7.61565 | + | 13.1907i | −0.506586 | + | 0.877432i | ||||
\(227\) | −2.95515 | − | 1.70616i | −0.196140 | − | 0.113242i | 0.398714 | − | 0.917076i | \(-0.369457\pi\) |
−0.594854 | + | 0.803834i | \(0.702790\pi\) | |||||||
\(228\) | 7.00135 | + | 5.52282i | 0.463676 | + | 0.365757i | ||||
\(229\) | 12.0334 | + | 20.8424i | 0.795187 | + | 1.37731i | 0.922720 | + | 0.385471i | \(0.125961\pi\) |
−0.127533 | + | 0.991834i | \(0.540706\pi\) | |||||||
\(230\) | −0.820319 | − | 8.97540i | −0.0540902 | − | 0.591820i | ||||
\(231\) | −7.38672 | + | 4.25715i | −0.486010 | + | 0.280100i | ||||
\(232\) | 0.976031 | − | 0.563512i | 0.0640796 | − | 0.0369964i | ||||
\(233\) | 20.5971 | + | 11.8917i | 1.34936 | + | 0.779054i | 0.988159 | − | 0.153433i | \(-0.0490330\pi\) |
0.361202 | + | 0.932487i | \(0.382366\pi\) | |||||||
\(234\) | −5.37529 | + | 5.09485i | −0.351394 | + | 0.333061i | ||||
\(235\) | −11.7355 | + | 25.4236i | −0.765537 | + | 1.65845i | ||||
\(236\) | −8.64779 | −0.562923 | ||||||||
\(237\) | −3.15412 | + | 21.7079i | −0.204882 | + | 1.41008i | ||||
\(238\) | −18.6755 | + | 2.69885i | −1.21055 | + | 0.174940i | ||||
\(239\) | −11.4772 | + | 19.8792i | −0.742401 | + | 1.28588i | 0.208998 | + | 0.977916i | \(0.432980\pi\) |
−0.951399 | + | 0.307960i | \(0.900354\pi\) | |||||||
\(240\) | −2.11193 | + | 3.24650i | −0.136324 | + | 0.209561i | ||||
\(241\) | 6.08000 | − | 10.5309i | 0.391647 | − | 0.678353i | −0.601020 | − | 0.799234i | \(-0.705239\pi\) |
0.992667 | + | 0.120881i | \(0.0385720\pi\) | |||||||
\(242\) | 6.52872 | − | 3.76936i | 0.419682 | − | 0.242304i | ||||
\(243\) | 10.2957 | − | 11.7046i | 0.660469 | − | 0.750853i | ||||
\(244\) | 6.43535 | 0.411981 | ||||||||
\(245\) | 5.77939 | + | 14.5464i | 0.369232 | + | 0.929337i | ||||
\(246\) | 5.86604 | − | 7.43646i | 0.374005 | − | 0.474132i | ||||
\(247\) | 11.0073 | − | 6.35508i | 0.700379 | − | 0.404364i | ||||
\(248\) | 0.0248928i | 0.00158069i | ||||||||
\(249\) | 10.5731 | + | 26.5248i | 0.670045 | + | 1.68094i | ||||
\(250\) | −10.7650 | + | 3.01908i | −0.680838 | + | 0.190944i | ||||
\(251\) | 26.7127 | 1.68609 | 0.843046 | − | 0.537841i | \(-0.180760\pi\) | ||||
0.843046 | + | 0.537841i | \(0.180760\pi\) | |||||||
\(252\) | −4.92056 | + | 6.22801i | −0.309966 | + | 0.392328i | ||||
\(253\) | − | 7.49883i | − | 0.471448i | ||||||
\(254\) | 5.86205 | 0.367818 | ||||||||
\(255\) | 1.46730 | − | 27.5831i | 0.0918857 | − | 1.72732i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 11.2489 | − | 6.49454i | 0.701685 | − | 0.405118i | −0.106290 | − | 0.994335i | \(-0.533897\pi\) |
0.807975 | + | 0.589217i | \(0.200564\pi\) | |||||||
\(258\) | 10.9703 | − | 4.37289i | 0.682978 | − | 0.272244i | ||||
\(259\) | 0.342126 | − | 0.269450i | 0.0212587 | − | 0.0167428i | ||||
\(260\) | 3.18378 | + | 4.50960i | 0.197450 | + | 0.279673i | ||||
\(261\) | 0.787329 | + | 3.28812i | 0.0487345 | + | 0.203530i | ||||
\(262\) | 14.6319 | − | 8.44770i | 0.903959 | − | 0.521901i | ||||
\(263\) | 7.65862 | + | 4.42171i | 0.472251 | + | 0.272654i | 0.717182 | − | 0.696886i | \(-0.245432\pi\) |
−0.244931 | + | 0.969541i | \(0.578765\pi\) | |||||||
\(264\) | −1.99572 | + | 2.53001i | −0.122828 | + | 0.155711i | ||||
\(265\) | 5.65103 | − | 0.516484i | 0.347140 | − | 0.0317274i | ||||
\(266\) | 10.7012 | − | 8.42801i | 0.656135 | − | 0.516755i | ||||
\(267\) | −7.35982 | − | 5.80558i | −0.450413 | − | 0.355296i | ||||
\(268\) | − | 15.7434i | − | 0.961679i | ||||||
\(269\) | −0.396645 | − | 0.687010i | −0.0241839 | − | 0.0418877i | 0.853680 | − | 0.520798i | \(-0.174365\pi\) |
−0.877864 | + | 0.478910i | \(0.841032\pi\) | |||||||
\(270\) | −7.53367 | − | 8.84555i | −0.458485 | − | 0.538323i | ||||
\(271\) | −15.0428 | + | 26.0548i | −0.913783 | + | 1.58272i | −0.105110 | + | 0.994461i | \(0.533519\pi\) |
−0.808673 | + | 0.588258i | \(0.799814\pi\) | |||||||
\(272\) | −6.17648 | + | 3.56599i | −0.374504 | + | 0.216220i | ||||
\(273\) | 5.64901 | + | 9.80178i | 0.341894 | + | 0.593231i | ||||
\(274\) | 2.39097 | − | 4.14127i | 0.144444 | − | 0.250184i | ||||
\(275\) | −9.14814 | + | 1.68630i | −0.551654 | + | 0.101688i | ||||
\(276\) | −2.58503 | − | 6.48506i | −0.155601 | − | 0.390355i | ||||
\(277\) | 9.27783 | + | 5.35656i | 0.557451 | + | 0.321844i | 0.752122 | − | 0.659024i | \(-0.229031\pi\) |
−0.194671 | + | 0.980869i | \(0.562364\pi\) | |||||||
\(278\) | −1.41910 | − | 0.819319i | −0.0851121 | − | 0.0491395i | ||||
\(279\) | −0.0715904 | − | 0.0212526i | −0.00428600 | − | 0.00127236i | ||||
\(280\) | 4.06825 | + | 4.29527i | 0.243125 | + | 0.256691i | ||||
\(281\) | 7.78912 | + | 13.4911i | 0.464660 | + | 0.804814i | 0.999186 | − | 0.0403376i | \(-0.0128433\pi\) |
−0.534526 | + | 0.845152i | \(0.679510\pi\) | |||||||
\(282\) | −3.11875 | + | 21.4644i | −0.185719 | + | 1.27819i | ||||
\(283\) | − | 19.3697i | − | 1.15141i | −0.817658 | − | 0.575704i | \(-0.804728\pi\) | ||
0.817658 | − | 0.575704i | \(-0.195272\pi\) | |||||||
\(284\) | 10.0316 | 0.595264 | ||||||||
\(285\) | 9.03860 | + | 17.7737i | 0.535400 | + | 1.05283i | ||||
\(286\) | 2.29647 | + | 3.97760i | 0.135793 | + | 0.235201i | ||||
\(287\) | −8.95178 | − | 11.3663i | −0.528407 | − | 0.670930i | ||||
\(288\) | −0.853766 | + | 2.87595i | −0.0503086 | + | 0.169467i | ||||
\(289\) | 16.9326 | − | 29.3282i | 0.996037 | − | 1.72519i | ||||
\(290\) | 2.50964 | − | 0.229372i | 0.147371 | − | 0.0134692i | ||||
\(291\) | −2.63991 | − | 6.62273i | −0.154754 | − | 0.388231i | ||||
\(292\) | −8.79348 | + | 5.07692i | −0.514600 | + | 0.297104i | ||||
\(293\) | −5.22984 | − | 3.01945i | −0.305530 | − | 0.176398i | 0.339394 | − | 0.940644i | \(-0.389778\pi\) |
−0.644925 | + | 0.764246i | \(0.723111\pi\) | |||||||
\(294\) | 7.49431 | + | 9.53076i | 0.437077 | + | 0.555845i | ||||
\(295\) | −17.5569 | − | 8.10419i | −1.02220 | − | 0.471844i | ||||
\(296\) | 0.0823004 | − | 0.142548i | 0.00478361 | − | 0.00828546i | ||||
\(297\) | −5.57229 | − | 7.89963i | −0.323337 | − | 0.458383i | ||||
\(298\) | −0.980667 | + | 0.566188i | −0.0568085 | + | 0.0327984i | ||||
\(299\) | −9.95055 | −0.575455 | ||||||||
\(300\) | −7.33009 | + | 4.61192i | −0.423203 | + | 0.266269i | ||||
\(301\) | −2.58015 | − | 17.8541i | −0.148718 | − | 1.02909i | ||||
\(302\) | 1.32464 | + | 0.764783i | 0.0762247 | + | 0.0440083i | ||||
\(303\) | −4.31508 | − | 3.40383i | −0.247895 | − | 0.195545i | ||||
\(304\) | 2.57424 | − | 4.45871i | 0.147643 | − | 0.255725i | ||||
\(305\) | 13.0651 | + | 6.03082i | 0.748108 | + | 0.345324i | ||||
\(306\) | −4.98235 | − | 20.8078i | −0.284822 | − | 1.18950i | ||||
\(307\) | 29.4814i | 1.68260i | 0.540572 | + | 0.841298i | \(0.318208\pi\) | ||||
−0.540572 | + | 0.841298i | \(0.681792\pi\) | |||||||
\(308\) | 3.04554 | + | 3.86699i | 0.173536 | + | 0.220342i | ||||
\(309\) | 6.21893 | + | 15.6014i | 0.353783 | + | 0.887534i | ||||
\(310\) | −0.0233280 | + | 0.0505377i | −0.00132494 | + | 0.00287035i | ||||
\(311\) | 8.24275 | 0.467404 | 0.233702 | − | 0.972308i | \(-0.424916\pi\) | ||||
0.233702 | + | 0.972308i | \(0.424916\pi\) | |||||||
\(312\) | 3.35719 | + | 2.64822i | 0.190063 | + | 0.149926i | ||||
\(313\) | 3.42996i | 0.193873i | 0.995291 | + | 0.0969364i | \(0.0309043\pi\) | ||||
−0.995291 | + | 0.0969364i | \(0.969096\pi\) | |||||||
\(314\) | −1.85828 | −0.104869 | ||||||||
\(315\) | −15.8263 | + | 8.03294i | −0.891711 | + | 0.452605i | ||||
\(316\) | 12.6647 | 0.712443 | ||||||||
\(317\) | 26.5770i | 1.49271i | 0.665548 | + | 0.746355i | \(0.268198\pi\) | ||||
−0.665548 | + | 0.746355i | \(0.731802\pi\) | |||||||
\(318\) | 4.08308 | − | 1.62757i | 0.228968 | − | 0.0912696i | ||||
\(319\) | 2.09677 | 0.117397 | ||||||||
\(320\) | 2.03021 | + | 0.937140i | 0.113492 | + | 0.0523877i | ||||
\(321\) | 4.34553 | − | 5.50890i | 0.242544 | − | 0.307477i | ||||
\(322\) | −10.5545 | + | 1.52526i | −0.588177 | + | 0.0849992i | ||||
\(323\) | 36.7189i | 2.04309i | ||||||||
\(324\) | −7.54217 | − | 4.91077i | −0.419009 | − | 0.272821i | ||||
\(325\) | 2.23763 | + | 12.1391i | 0.124121 | + | 0.673356i | ||||
\(326\) | −11.2609 | + | 19.5044i | −0.623683 | + | 1.08025i | ||||
\(327\) | −12.3240 | + | 4.91252i | −0.681520 | + | 0.271663i | ||||
\(328\) | −4.73581 | − | 2.73422i | −0.261491 | − | 0.150972i | ||||
\(329\) | 30.7673 | + | 12.2917i | 1.69626 | + | 0.677663i | ||||
\(330\) | −6.42272 | + | 3.26618i | −0.353559 | + | 0.179798i | ||||
\(331\) | −2.31580 | −0.127288 | −0.0636439 | − | 0.997973i | \(-0.520272\pi\) | ||||
−0.0636439 | + | 0.997973i | \(0.520272\pi\) | |||||||
\(332\) | 14.2772 | − | 8.24296i | 0.783565 | − | 0.452391i | ||||
\(333\) | 0.339697 | + | 0.358395i | 0.0186153 | + | 0.0196399i | ||||
\(334\) | 0.798239 | − | 1.38259i | 0.0436777 | − | 0.0756520i | ||||
\(335\) | 14.7537 | − | 31.9624i | 0.806082 | − | 1.74629i | ||||
\(336\) | 3.96686 | + | 2.29434i | 0.216410 | + | 0.125166i | ||||
\(337\) | −9.27844 | − | 5.35691i | −0.505429 | − | 0.291809i | 0.225524 | − | 0.974238i | \(-0.427591\pi\) |
−0.730953 | + | 0.682428i | \(0.760924\pi\) | |||||||
\(338\) | −5.98026 | + | 3.45271i | −0.325283 | + | 0.187803i | ||||
\(339\) | −16.3388 | + | 20.7129i | −0.887399 | + | 1.12497i | ||||
\(340\) | −15.8814 | + | 1.45150i | −0.861291 | + | 0.0787189i | ||||
\(341\) | −0.0231559 | + | 0.0401072i | −0.00125396 | + | 0.00217193i | ||||
\(342\) | 10.6252 | + | 11.2101i | 0.574547 | + | 0.606171i | ||||
\(343\) | 16.8300 | − | 7.72995i | 0.908733 | − | 0.417378i | ||||
\(344\) | −3.40916 | − | 5.90484i | −0.183810 | − | 0.318368i | ||||
\(345\) | 0.829244 | − | 15.5886i | 0.0446450 | − | 0.839262i | ||||
\(346\) | −22.5323 | −1.21134 | ||||||||
\(347\) | 2.60399i | 0.139789i | 0.997554 | + | 0.0698946i | \(0.0222663\pi\) | ||||
−0.997554 | + | 0.0698946i | \(0.977734\pi\) | |||||||
\(348\) | 1.81331 | − | 0.722809i | 0.0972036 | − | 0.0387466i | ||||
\(349\) | 8.68928 | + | 15.0503i | 0.465126 | + | 0.805622i | 0.999207 | − | 0.0398110i | \(-0.0126756\pi\) |
−0.534081 | + | 0.845433i | \(0.679342\pi\) | |||||||
\(350\) | 4.23416 | + | 12.5328i | 0.226325 | + | 0.669908i | ||||
\(351\) | −10.4824 | + | 7.39414i | −0.559509 | + | 0.394670i | ||||
\(352\) | 1.61120 | + | 0.930226i | 0.0858772 | + | 0.0495812i | ||||
\(353\) | 1.35300 | + | 0.781154i | 0.0720128 | + | 0.0415766i | 0.535574 | − | 0.844488i | \(-0.320095\pi\) |
−0.463561 | + | 0.886065i | \(0.653429\pi\) | |||||||
\(354\) | −14.8228 | − | 2.15372i | −0.787821 | − | 0.114469i | ||||
\(355\) | 20.3662 | + | 9.40097i | 1.08093 | + | 0.498952i | ||||
\(356\) | −2.70604 | + | 4.68699i | −0.143420 | + | 0.248410i | ||||
\(357\) | −32.6829 | − | 0.0251384i | −1.72976 | − | 0.00133046i | ||||
\(358\) | −12.5166 | + | 7.22646i | −0.661522 | + | 0.381930i | ||||
\(359\) | −4.26628 | + | 7.38941i | −0.225166 | + | 0.389998i | −0.956369 | − | 0.292161i | \(-0.905626\pi\) |
0.731203 | + | 0.682159i | \(0.238959\pi\) | |||||||
\(360\) | −4.42849 | + | 5.03869i | −0.233402 | + | 0.265563i | ||||
\(361\) | −3.75341 | − | 6.50110i | −0.197548 | − | 0.342163i | ||||
\(362\) | − | 3.56702i | − | 0.187478i | ||||||
\(363\) | 12.1293 | − | 4.83491i | 0.636624 | − | 0.253767i | ||||
\(364\) | 5.13130 | − | 4.04128i | 0.268953 | − | 0.211820i | ||||
\(365\) | −22.6104 | + | 2.06651i | −1.18348 | + | 0.108166i | ||||
\(366\) | 11.0305 | + | 1.60272i | 0.576575 | + | 0.0837754i | ||||
\(367\) | −24.2944 | − | 14.0264i | −1.26816 | − | 0.732171i | −0.293518 | − | 0.955954i | \(-0.594826\pi\) |
−0.974639 | + | 0.223783i | \(0.928159\pi\) | |||||||
\(368\) | −3.49065 | + | 2.01533i | −0.181962 | + | 0.105056i | ||||
\(369\) | 11.9067 | − | 11.2856i | 0.619840 | − | 0.587502i | ||||
\(370\) | 0.300675 | − | 0.212277i | 0.0156314 | − | 0.0110357i | ||||
\(371\) | −0.960323 | − | 6.64523i | −0.0498575 | − | 0.345003i | ||||
\(372\) | −0.00619952 | + | 0.0426675i | −0.000321430 | + | 0.00221221i | ||||
\(373\) | 12.1765 | − | 7.03010i | 0.630475 | − | 0.364005i | −0.150461 | − | 0.988616i | \(-0.548076\pi\) |
0.780936 | + | 0.624611i | \(0.214743\pi\) | |||||||
\(374\) | −13.2687 | −0.686109 | ||||||||
\(375\) | −19.2037 | + | 2.49386i | −0.991673 | + | 0.128782i | ||||
\(376\) | 12.5226 | 0.645806 | ||||||||
\(377\) | − | 2.78231i | − | 0.143296i | ||||||
\(378\) | −9.98518 | + | 9.44967i | −0.513582 | + | 0.486039i | ||||
\(379\) | 9.12176 | 0.468553 | 0.234277 | − | 0.972170i | \(-0.424728\pi\) | ||||
0.234277 | + | 0.972170i | \(0.424728\pi\) | |||||||
\(380\) | 9.40469 | − | 6.63972i | 0.482451 | − | 0.340610i | ||||
\(381\) | 10.0479 | + | 1.45994i | 0.514768 | + | 0.0747949i | ||||
\(382\) | 1.91746i | 0.0981059i | ||||||||
\(383\) | −8.74655 | + | 5.04982i | −0.446928 | + | 0.258034i | −0.706532 | − | 0.707681i | \(-0.749741\pi\) |
0.259604 | + | 0.965715i | \(0.416408\pi\) | |||||||
\(384\) | 1.71405 | + | 0.249049i | 0.0874699 | + | 0.0127092i | ||||
\(385\) | 2.55919 | + | 10.7049i | 0.130429 | + | 0.545573i | ||||
\(386\) | −14.2477 | −0.725190 | ||||||||
\(387\) | 19.8926 | − | 4.76323i | 1.01120 | − | 0.242128i | ||||
\(388\) | −3.56475 | + | 2.05811i | −0.180973 | + | 0.104485i | ||||
\(389\) | −14.8227 | + | 25.6736i | −0.751540 | + | 1.30170i | 0.195537 | + | 0.980696i | \(0.437355\pi\) |
−0.947076 | + | 0.321008i | \(0.895978\pi\) | |||||||
\(390\) | 4.33405 | + | 8.52260i | 0.219463 | + | 0.431559i | ||||
\(391\) | 14.3733 | − | 24.8952i | 0.726888 | − | 1.25901i | ||||
\(392\) | 4.82326 | − | 5.07309i | 0.243611 | − | 0.256230i | ||||
\(393\) | 27.1837 | − | 10.8358i | 1.37123 | − | 0.546592i | ||||
\(394\) | −13.4264 | −0.676411 | ||||||||
\(395\) | 25.7120 | + | 11.8686i | 1.29371 | + | 0.597172i | ||||
\(396\) | −4.05087 | + | 3.83953i | −0.203564 | + | 0.192944i | ||||
\(397\) | −23.6754 | − | 13.6690i | −1.18823 | − | 0.686027i | −0.230329 | − | 0.973113i | \(-0.573980\pi\) |
−0.957905 | + | 0.287086i | \(0.907313\pi\) | |||||||
\(398\) | −5.77325 | + | 3.33319i | −0.289387 | + | 0.167078i | ||||
\(399\) | 20.4415 | − | 11.7809i | 1.02335 | − | 0.589784i | ||||
\(400\) | 3.24354 | + | 3.80519i | 0.162177 | + | 0.190259i | ||||
\(401\) | 7.23145 | + | 12.5252i | 0.361122 | + | 0.625481i | 0.988146 | − | 0.153519i | \(-0.0490606\pi\) |
−0.627024 | + | 0.779000i | \(0.715727\pi\) | |||||||
\(402\) | 3.92087 | − | 26.9849i | 0.195555 | − | 1.34589i | ||||
\(403\) | 0.0532201 | + | 0.0307267i | 0.00265108 | + | 0.00153060i | ||||
\(404\) | −1.58656 | + | 2.74800i | −0.0789342 | + | 0.136718i | ||||
\(405\) | −10.7101 | − | 17.0380i | −0.532191 | − | 0.846624i | ||||
\(406\) | −0.426482 | − | 2.95117i | −0.0211659 | − | 0.146464i | ||||
\(407\) | 0.265205 | − | 0.153116i | 0.0131457 | − | 0.00758967i | ||||
\(408\) | −11.4749 | + | 4.57405i | −0.568093 | + | 0.226449i | ||||
\(409\) | 33.1747 | 1.64038 | 0.820191 | − | 0.572090i | \(-0.193867\pi\) | ||||
0.820191 | + | 0.572090i | \(0.193867\pi\) | |||||||
\(410\) | −7.05235 | − | 9.98916i | −0.348291 | − | 0.493329i | ||||
\(411\) | 5.12962 | − | 6.50289i | 0.253025 | − | 0.320764i | ||||
\(412\) | 8.39761 | − | 4.84836i | 0.413721 | − | 0.238862i | ||||
\(413\) | −8.48831 | + | 21.2471i | −0.417682 | + | 1.04550i | ||||
\(414\) | −2.81578 | − | 11.7595i | −0.138388 | − | 0.577950i | ||||
\(415\) | 36.7106 | − | 3.35522i | 1.80205 | − | 0.164701i | ||||
\(416\) | 1.23436 | − | 2.13798i | 0.0605195 | − | 0.104823i | ||||
\(417\) | −2.22836 | − | 1.75778i | −0.109123 | − | 0.0860789i | ||||
\(418\) | 8.29522 | − | 4.78925i | 0.405733 | − | 0.234250i | ||||
\(419\) | −2.56007 | + | 4.43417i | −0.125068 | + | 0.216623i | −0.921759 | − | 0.387762i | \(-0.873248\pi\) |
0.796692 | + | 0.604386i | \(0.206581\pi\) | |||||||
\(420\) | 5.90347 | + | 8.37551i | 0.288060 | + | 0.408683i | ||||
\(421\) | 0.254924 | + | 0.441541i | 0.0124242 | + | 0.0215194i | 0.872171 | − | 0.489202i | \(-0.162712\pi\) |
−0.859746 | + | 0.510721i | \(0.829378\pi\) | |||||||
\(422\) | −3.81526 | − | 2.20274i | −0.185724 | − | 0.107228i | ||||
\(423\) | −10.6914 | + | 36.0145i | −0.519833 | + | 1.75108i | ||||
\(424\) | −1.26888 | − | 2.19776i | −0.0616221 | − | 0.106733i | ||||
\(425\) | −33.6029 | − | 11.9362i | −1.62998 | − | 0.578993i | ||||
\(426\) | 17.1946 | + | 2.49835i | 0.833082 | + | 0.121045i | ||||
\(427\) | 6.31667 | − | 15.8113i | 0.305685 | − | 0.765161i | ||||
\(428\) | −3.50826 | − | 2.02550i | −0.169578 | − | 0.0979060i | ||||
\(429\) | 2.94565 | + | 7.38975i | 0.142217 | + | 0.356780i | ||||
\(430\) | −1.38767 | − | 15.1830i | −0.0669192 | − | 0.732187i | ||||
\(431\) | 6.19259 | + | 10.7259i | 0.298286 | + | 0.516647i | 0.975744 | − | 0.218915i | \(-0.0702516\pi\) |
−0.677458 | + | 0.735562i | \(0.736918\pi\) | |||||||
\(432\) | −2.17965 | + | 4.71690i | −0.104869 | + | 0.226942i | ||||
\(433\) | − | 18.6516i | − | 0.896339i | −0.893949 | − | 0.448169i | \(-0.852076\pi\) | ||
0.893949 | − | 0.448169i | \(-0.147924\pi\) | |||||||
\(434\) | 0.0611600 | + | 0.0244337i | 0.00293577 | + | 0.00117286i | ||||
\(435\) | 4.35878 | + | 0.231868i | 0.208987 | + | 0.0111172i | ||||
\(436\) | 3.82986 | + | 6.63352i | 0.183417 | + | 0.317688i | ||||
\(437\) | 20.7517i | 0.992689i | ||||||||
\(438\) | −16.3369 | + | 6.51210i | −0.780607 | + | 0.311160i | ||||
\(439\) | 0.383818 | 0.0183186 | 0.00915932 | − | 0.999958i | \(-0.497084\pi\) | ||||
0.00915932 | + | 0.999958i | \(0.497084\pi\) | |||||||
\(440\) | 2.39933 | + | 3.39848i | 0.114383 | + | 0.162016i | ||||
\(441\) | 10.4720 | + | 18.2027i | 0.498667 | + | 0.866794i | ||||
\(442\) | 17.6069i | 0.837474i | ||||||||
\(443\) | 5.42853i | 0.257917i | 0.991650 | + | 0.128959i | \(0.0411635\pi\) | ||||
−0.991650 | + | 0.128959i | \(0.958837\pi\) | |||||||
\(444\) | 0.176569 | − | 0.223839i | 0.00837958 | − | 0.0106229i | ||||
\(445\) | −9.88620 | + | 6.97967i | −0.468651 | + | 0.330868i | ||||
\(446\) | −6.28877 | − | 10.8925i | −0.297782 | − | 0.515773i | ||||
\(447\) | −1.82192 | + | 0.726242i | −0.0861740 | + | 0.0343501i | ||||
\(448\) | 0.981558 | − | 2.45694i | 0.0463743 | − | 0.116079i | ||||
\(449\) | 5.22072 | 0.246381 | 0.123191 | − | 0.992383i | \(-0.460687\pi\) | ||||
0.123191 | + | 0.992383i | \(0.460687\pi\) | |||||||
\(450\) | −13.7128 | + | 6.07951i | −0.646425 | + | 0.286591i | ||||
\(451\) | −5.08688 | − | 8.81074i | −0.239532 | − | 0.414882i | ||||
\(452\) | 13.1907 | + | 7.61565i | 0.620438 | + | 0.358210i | ||||
\(453\) | 2.08004 | + | 1.64078i | 0.0977288 | + | 0.0770906i | ||||
\(454\) | −1.70616 | + | 2.95515i | −0.0800740 | + | 0.138692i | ||||
\(455\) | 14.2049 | − | 3.39592i | 0.665934 | − | 0.159203i | ||||
\(456\) | 5.52282 | − | 7.00135i | 0.258630 | − | 0.327868i | ||||
\(457\) | 12.2815i | 0.574504i | 0.957855 | + | 0.287252i | \(0.0927417\pi\) | ||||
−0.957855 | + | 0.287252i | \(0.907258\pi\) | |||||||
\(458\) | 20.8424 | − | 12.0334i | 0.973902 | − | 0.562282i | ||||
\(459\) | −3.35785 | − | 36.9065i | −0.156731 | − | 1.72265i | ||||
\(460\) | −8.97540 | + | 0.820319i | −0.418480 | + | 0.0382476i | ||||
\(461\) | −1.30604 | − | 2.26214i | −0.0608286 | − | 0.105358i | 0.834007 | − | 0.551753i | \(-0.186041\pi\) |
−0.894836 | + | 0.446395i | \(0.852708\pi\) | |||||||
\(462\) | 4.25715 | + | 7.38672i | 0.198061 | + | 0.343661i | ||||
\(463\) | −16.9779 | − | 9.80220i | −0.789030 | − | 0.455547i | 0.0505907 | − | 0.998719i | \(-0.483890\pi\) |
−0.839621 | + | 0.543173i | \(0.817223\pi\) | |||||||
\(464\) | −0.563512 | − | 0.976031i | −0.0261604 | − | 0.0453111i | ||||
\(465\) | −0.0525718 | + | 0.0808144i | −0.00243796 | + | 0.00374768i | ||||
\(466\) | 11.8917 | − | 20.5971i | 0.550875 | − | 0.954143i | ||||
\(467\) | −13.9721 | − | 8.06679i | −0.646551 | − | 0.373287i | 0.140582 | − | 0.990069i | \(-0.455103\pi\) |
−0.787134 | + | 0.616782i | \(0.788436\pi\) | |||||||
\(468\) | 5.09485 | + | 5.37529i | 0.235510 | + | 0.248473i | ||||
\(469\) | −38.6805 | − | 15.4530i | −1.78610 | − | 0.713554i | ||||
\(470\) | 25.4236 | + | 11.7355i | 1.17270 | + | 0.541316i | ||||
\(471\) | −3.18518 | − | 0.462802i | −0.146765 | − | 0.0213248i | ||||
\(472\) | 8.64779i | 0.398047i | ||||||||
\(473\) | − | 12.6852i | − | 0.583265i | ||||||
\(474\) | 21.7079 | + | 3.15412i | 0.997076 | + | 0.144874i | ||||
\(475\) | 25.3159 | − | 4.66654i | 1.16157 | − | 0.214116i | ||||
\(476\) | 2.69885 | + | 18.6755i | 0.123702 | + | 0.855989i | ||||
\(477\) | 7.40396 | − | 1.77285i | 0.339004 | − | 0.0811734i | ||||
\(478\) | 19.8792 | + | 11.4772i | 0.909252 | + | 0.524957i | ||||
\(479\) | 11.2252 | − | 19.4427i | 0.512894 | − | 0.888358i | −0.486995 | − | 0.873405i | \(-0.661907\pi\) |
0.999888 | − | 0.0149527i | \(-0.00475978\pi\) | |||||||
\(480\) | 3.24650 | + | 2.11193i | 0.148182 | + | 0.0963959i | ||||
\(481\) | −0.203177 | − | 0.351912i | −0.00926406 | − | 0.0160458i | ||||
\(482\) | −10.5309 | − | 6.08000i | −0.479668 | − | 0.276937i | ||||
\(483\) | −18.4708 | − | 0.0142070i | −0.840449 | − | 0.000646440i | ||||
\(484\) | −3.76936 | − | 6.52872i | −0.171334 | − | 0.296760i | ||||
\(485\) | −9.16593 | + | 0.837733i | −0.416203 | + | 0.0380395i | ||||
\(486\) | −11.7046 | − | 10.2957i | −0.530934 | − | 0.467022i | ||||
\(487\) | −25.5573 | + | 14.7555i | −1.15811 | + | 0.668636i | −0.950851 | − | 0.309649i | \(-0.899788\pi\) |
−0.207261 | + | 0.978286i | \(0.566455\pi\) | |||||||
\(488\) | − | 6.43535i | − | 0.291315i | ||||||
\(489\) | −24.1593 | + | 30.6271i | −1.09252 | + | 1.38501i | ||||
\(490\) | 14.5464 | − | 5.77939i | 0.657141 | − | 0.261086i | ||||
\(491\) | −2.00136 | + | 3.46646i | −0.0903202 | + | 0.156439i | −0.907646 | − | 0.419737i | \(-0.862122\pi\) |
0.817326 | + | 0.576176i | \(0.195456\pi\) | |||||||
\(492\) | −7.43646 | − | 5.86604i | −0.335262 | − | 0.264462i | ||||
\(493\) | 6.96104 | + | 4.01896i | 0.313509 | + | 0.181005i | ||||
\(494\) | −6.35508 | − | 11.0073i | −0.285929 | − | 0.495243i | ||||
\(495\) | −11.8223 | + | 3.99884i | −0.531373 | + | 0.179734i | ||||
\(496\) | 0.0248928 | 0.00111772 | ||||||||
\(497\) | 9.84656 | − | 24.6469i | 0.441679 | − | 1.10557i | ||||
\(498\) | 26.5248 | − | 10.5731i | 1.18861 | − | 0.473794i | ||||
\(499\) | −1.72024 | − | 2.97954i | −0.0770085 | − | 0.133383i | 0.824949 | − | 0.565207i | \(-0.191204\pi\) |
−0.901958 | + | 0.431824i | \(0.857870\pi\) | |||||||
\(500\) | 3.01908 | + | 10.7650i | 0.135018 | + | 0.481425i | ||||
\(501\) | 1.71256 | − | 2.17103i | 0.0765114 | − | 0.0969945i | ||||
\(502\) | − | 26.7127i | − | 1.19225i | ||||||
\(503\) | − | 26.9973i | − | 1.20375i | −0.798591 | − | 0.601875i | \(-0.794421\pi\) | ||
0.798591 | − | 0.601875i | \(-0.205579\pi\) | |||||||
\(504\) | 6.22801 | + | 4.92056i | 0.277418 | + | 0.219179i | ||||
\(505\) | −5.79631 | + | 4.09220i | −0.257932 | + | 0.182100i | ||||
\(506\) | −7.49883 | −0.333364 | ||||||||
\(507\) | −11.1104 | + | 4.42874i | −0.493429 | + | 0.196687i | ||||
\(508\) | − | 5.86205i | − | 0.260087i | ||||||
\(509\) | −16.6660 | − | 28.8664i | −0.738709 | − | 1.27948i | −0.953077 | − | 0.302729i | \(-0.902102\pi\) |
0.214368 | − | 0.976753i | \(-0.431231\pi\) | |||||||
\(510\) | −27.5831 | − | 1.46730i | −1.22140 | − | 0.0649730i | ||||
\(511\) | 3.84236 | + | 26.5883i | 0.169976 | + | 1.17620i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 15.4203 | + | 21.8609i | 0.680825 | + | 0.965180i | ||||
\(514\) | −6.49454 | − | 11.2489i | −0.286462 | − | 0.496166i | ||||
\(515\) | 21.5925 | − | 1.97348i | 0.951481 | − | 0.0869619i | ||||
\(516\) | −4.37289 | − | 10.9703i | −0.192506 | − | 0.482939i | ||||
\(517\) | 20.1765 | + | 11.6489i | 0.887359 | + | 0.512317i | ||||
\(518\) | −0.269450 | − | 0.342126i | −0.0118390 | − | 0.0150322i | ||||
\(519\) | −38.6215 | − | 5.61164i | −1.69530 | − | 0.246324i | ||||
\(520\) | 4.50960 | − | 3.18378i | 0.197759 | − | 0.139618i | ||||
\(521\) | −9.84067 | − | 17.0445i | −0.431127 | − | 0.746735i | 0.565843 | − | 0.824513i | \(-0.308551\pi\) |
−0.996971 | + | 0.0777783i | \(0.975217\pi\) | |||||||
\(522\) | 3.28812 | − | 0.787329i | 0.143917 | − | 0.0344605i | ||||
\(523\) | −6.77298 | − | 3.91038i | −0.296162 | − | 0.170989i | 0.344556 | − | 0.938766i | \(-0.388030\pi\) |
−0.640717 | + | 0.767777i | \(0.721363\pi\) | |||||||
\(524\) | −8.44770 | − | 14.6319i | −0.369040 | − | 0.639195i | ||||
\(525\) | 4.13628 | + | 22.5364i | 0.180522 | + | 0.983571i | ||||
\(526\) | 4.42171 | − | 7.65862i | 0.192796 | − | 0.333932i | ||||
\(527\) | −0.153750 | + | 0.0887675i | −0.00669745 | + | 0.00386677i | ||||
\(528\) | 2.53001 | + | 1.99572i | 0.110104 | + | 0.0868527i | ||||
\(529\) | −3.37693 | + | 5.84901i | −0.146823 | + | 0.254305i | ||||
\(530\) | −0.516484 | − | 5.65103i | −0.0224346 | − | 0.245465i | ||||
\(531\) | −24.8706 | − | 7.38319i | −1.07929 | − | 0.320403i | ||||
\(532\) | −8.42801 | − | 10.7012i | −0.365401 | − | 0.463957i | ||||
\(533\) | −11.6914 | + | 6.75002i | −0.506410 | + | 0.292376i | ||||
\(534\) | −5.80558 | + | 7.35982i | −0.251232 | + | 0.318490i | ||||
\(535\) | −5.22435 | − | 7.39992i | −0.225868 | − | 0.319926i | ||||
\(536\) | −15.7434 | −0.680010 | ||||||||
\(537\) | −23.2538 | + | 9.26928i | −1.00348 | + | 0.399999i | ||||
\(538\) | −0.687010 | + | 0.396645i | −0.0296191 | + | 0.0171006i | ||||
\(539\) | 12.4903 | − | 3.68703i | 0.537997 | − | 0.158812i | ||||
\(540\) | −8.84555 | + | 7.53367i | −0.380652 | + | 0.324198i | ||||
\(541\) | 11.7762 | − | 20.3970i | 0.506299 | − | 0.876936i | −0.493674 | − | 0.869647i | \(-0.664347\pi\) |
0.999973 | − | 0.00728876i | \(-0.00232011\pi\) | |||||||
\(542\) | 26.0548 | + | 15.0428i | 1.11915 | + | 0.646142i | ||||
\(543\) | 0.888362 | − | 6.11405i | 0.0381232 | − | 0.262379i | ||||
\(544\) | 3.56599 | + | 6.17648i | 0.152891 | + | 0.264815i | ||||
\(545\) | 1.55891 | + | 17.0566i | 0.0667764 | + | 0.730624i | ||||
\(546\) | 9.80178 | − | 5.64901i | 0.419478 | − | 0.241755i | ||||
\(547\) | 8.50253 | − | 4.90894i | 0.363542 | − | 0.209891i | −0.307091 | − | 0.951680i | \(-0.599356\pi\) |
0.670633 | + | 0.741789i | \(0.266022\pi\) | |||||||
\(548\) | −4.14127 | − | 2.39097i | −0.176906 | − | 0.102137i | ||||
\(549\) | 18.5077 | + | 5.49428i | 0.789891 | + | 0.234490i | ||||
\(550\) | 1.68630 | + | 9.14814i | 0.0719041 | + | 0.390078i | ||||
\(551\) | −5.80245 | −0.247193 | ||||||||
\(552\) | −6.48506 | + | 2.58503i | −0.276023 | + | 0.110026i | ||||
\(553\) | 12.4311 | − | 31.1163i | 0.528624 | − | 1.32320i | ||||
\(554\) | 5.35656 | − | 9.27783i | 0.227578 | − | 0.394177i | ||||
\(555\) | 0.568240 | − | 0.288971i | 0.0241205 | − | 0.0122661i | ||||
\(556\) | −0.819319 | + | 1.41910i | −0.0347469 | + | 0.0601833i | ||||
\(557\) | 14.2332 | − | 8.21754i | 0.603080 | − | 0.348188i | −0.167172 | − | 0.985928i | \(-0.553464\pi\) |
0.770252 | + | 0.637739i | \(0.220130\pi\) | |||||||
\(558\) | −0.0212526 | + | 0.0715904i | −0.000899694 | + | 0.00303066i | ||||
\(559\) | −16.8325 | −0.711941 | ||||||||
\(560\) | 4.29527 | − | 4.06825i | 0.181508 | − | 0.171915i | ||||
\(561\) | −22.7433 | − | 3.30456i | −0.960222 | − | 0.139519i | ||||
\(562\) | 13.4911 | − | 7.78912i | 0.569090 | − | 0.328564i | ||||
\(563\) | 31.9563i | 1.34680i | 0.739280 | + | 0.673398i | \(0.235166\pi\) | ||||
−0.739280 | + | 0.673398i | \(0.764834\pi\) | |||||||
\(564\) | 21.4644 | + | 3.11875i | 0.903816 | + | 0.131323i | ||||
\(565\) | 19.6430 | + | 27.8229i | 0.826387 | + | 1.17052i | ||||
\(566\) | −19.3697 | −0.814169 | ||||||||
\(567\) | −19.4685 | + | 13.7104i | −0.817602 | + | 0.575784i | ||||
\(568\) | − | 10.0316i | − | 0.420915i | ||||||
\(569\) | −40.4328 | −1.69503 | −0.847515 | − | 0.530771i | \(-0.821902\pi\) | ||||
−0.847515 | + | 0.530771i | \(0.821902\pi\) | |||||||
\(570\) | 17.7737 | − | 9.03860i | 0.744460 | − | 0.378585i | ||||
\(571\) | 13.1042 | 0.548396 | 0.274198 | − | 0.961673i | \(-0.411588\pi\) | ||||
0.274198 | + | 0.961673i | \(0.411588\pi\) | |||||||
\(572\) | 3.97760 | − | 2.29647i | 0.166312 | − | 0.0960202i | ||||
\(573\) | −0.477542 | + | 3.28663i | −0.0199496 | + | 0.137301i | ||||
\(574\) | −11.3663 | + | 8.95178i | −0.474419 | + | 0.373640i | ||||
\(575\) | −18.9907 | − | 6.74578i | −0.791968 | − | 0.281318i | ||||
\(576\) | 2.87595 | + | 0.853766i | 0.119831 | + | 0.0355736i | ||||
\(577\) | 13.1964 | − | 7.61896i | 0.549374 | − | 0.317181i | −0.199495 | − | 0.979899i | \(-0.563930\pi\) |
0.748870 | + | 0.662717i | \(0.230597\pi\) | |||||||
\(578\) | −29.3282 | − | 16.9326i | −1.21989 | − | 0.704304i | ||||
\(579\) | −24.4213 | − | 3.54838i | −1.01492 | − | 0.147466i | ||||
\(580\) | −0.229372 | − | 2.50964i | −0.00952416 | − | 0.104207i | ||||
\(581\) | −6.23851 | − | 43.1692i | −0.258817 | − | 1.79096i | ||||
\(582\) | −6.62273 | + | 2.63991i | −0.274521 | + | 0.109428i | ||||
\(583\) | − | 4.72137i | − | 0.195539i | ||||||
\(584\) | 5.07692 | + | 8.79348i | 0.210084 | + | 0.363877i | ||||
\(585\) | 5.30625 | + | 15.6876i | 0.219386 | + | 0.648602i | ||||
\(586\) | −3.01945 | + | 5.22984i | −0.124732 | + | 0.216043i | ||||
\(587\) | −30.9687 | + | 17.8798i | −1.27821 | + | 0.737978i | −0.976520 | − | 0.215427i | \(-0.930886\pi\) |
−0.301695 | + | 0.953405i | \(0.597552\pi\) | |||||||
\(588\) | 9.53076 | − | 7.49431i | 0.393042 | − | 0.309060i | ||||
\(589\) | 0.0640799 | − | 0.110990i | 0.00264037 | − | 0.00457325i | ||||
\(590\) | −8.10419 | + | 17.5569i | −0.333644 | + | 0.722805i | ||||
\(591\) | −23.0135 | − | 3.34383i | −0.946649 | − | 0.137547i | ||||
\(592\) | −0.142548 | − | 0.0823004i | −0.00585870 | − | 0.00338252i | ||||
\(593\) | 39.8145 | + | 22.9869i | 1.63499 | + | 0.943960i | 0.982523 | + | 0.186140i | \(0.0595978\pi\) |
0.652464 | + | 0.757820i | \(0.273736\pi\) | |||||||
\(594\) | −7.89963 | + | 5.57229i | −0.324126 | + | 0.228634i | ||||
\(595\) | −12.0223 | + | 40.4444i | −0.492865 | + | 1.65806i | ||||
\(596\) | 0.566188 | + | 0.980667i | 0.0231920 | + | 0.0401697i | ||||
\(597\) | −10.7258 | + | 4.27544i | −0.438977 | + | 0.174982i | ||||
\(598\) | 9.95055i | 0.406908i | ||||||||
\(599\) | 21.3186 | 0.871054 | 0.435527 | − | 0.900176i | \(-0.356562\pi\) | ||||
0.435527 | + | 0.900176i | \(0.356562\pi\) | |||||||
\(600\) | 4.61192 | + | 7.33009i | 0.188281 | + | 0.299250i | ||||
\(601\) | −9.44816 | − | 16.3647i | −0.385398 | − | 0.667530i | 0.606426 | − | 0.795140i | \(-0.292603\pi\) |
−0.991824 | + | 0.127610i | \(0.959269\pi\) | |||||||
\(602\) | −17.8541 | + | 2.58015i | −0.727680 | + | 0.105159i | ||||
\(603\) | 13.4411 | − | 45.2771i | 0.547366 | − | 1.84383i | ||||
\(604\) | 0.764783 | − | 1.32464i | 0.0311186 | − | 0.0538990i | ||||
\(605\) | −1.53428 | − | 16.7871i | −0.0623774 | − | 0.682493i | ||||
\(606\) | −3.40383 | + | 4.31508i | −0.138271 | + | 0.175288i | ||||
\(607\) | −12.1344 | + | 7.00579i | −0.492520 | + | 0.284356i | −0.725619 | − | 0.688097i | \(-0.758447\pi\) |
0.233100 | + | 0.972453i | \(0.425113\pi\) | |||||||
\(608\) | −4.45871 | − | 2.57424i | −0.180825 | − | 0.104399i | ||||
\(609\) | 0.00397246 | − | 5.16467i | 0.000160972 | − | 0.209283i | ||||
\(610\) | 6.03082 | − | 13.0651i | 0.244181 | − | 0.528992i | ||||
\(611\) | 15.4574 | − | 26.7731i | 0.625341 | − | 1.08312i | ||||
\(612\) | −20.8078 | + | 4.98235i | −0.841104 | + | 0.201400i | ||||
\(613\) | −5.46761 | + | 3.15673i | −0.220835 | + | 0.127499i | −0.606337 | − | 0.795208i | \(-0.707362\pi\) |
0.385502 | + | 0.922707i | \(0.374028\pi\) | |||||||
\(614\) | 29.4814 | 1.18977 | ||||||||
\(615\) | −9.60031 | − | 18.8783i | −0.387122 | − | 0.761247i | ||||
\(616\) | 3.86699 | − | 3.04554i | 0.155806 | − | 0.122708i | ||||
\(617\) | −14.0939 | − | 8.13710i | −0.567398 | − | 0.327587i | 0.188712 | − | 0.982033i | \(-0.439569\pi\) |
−0.756109 | + | 0.654445i | \(0.772902\pi\) | |||||||
\(618\) | 15.6014 | − | 6.21893i | 0.627581 | − | 0.250162i | ||||
\(619\) | −14.1542 | + | 24.5157i | −0.568904 | + | 0.985371i | 0.427771 | + | 0.903887i | \(0.359299\pi\) |
−0.996675 | + | 0.0814835i | \(0.974034\pi\) | |||||||
\(620\) | 0.0505377 | + | 0.0233280i | 0.00202964 | + | 0.000936875i | ||||
\(621\) | −1.89769 | − | 20.8577i | −0.0761518 | − | 0.836992i | ||||
\(622\) | − | 8.24275i | − | 0.330504i | ||||||
\(623\) | 8.85952 | + | 11.2491i | 0.354949 | + | 0.450687i | ||||
\(624\) | 2.64822 | − | 3.35719i | 0.106014 | − | 0.134395i | ||||
\(625\) | −3.95892 | + | 24.6845i | −0.158357 | + | 0.987382i | ||||
\(626\) | 3.42996 | 0.137089 | ||||||||
\(627\) | 15.4112 | − | 6.14311i | 0.615464 | − | 0.245332i | ||||
\(628\) | 1.85828i | 0.0741533i | ||||||||
\(629\) | 1.17393 | 0.0468077 | ||||||||
\(630\) | 8.03294 | + | 15.8263i | 0.320040 | + | 0.630535i | ||||
\(631\) | 24.3538 | 0.969508 | 0.484754 | − | 0.874651i | \(-0.338909\pi\) | ||||
0.484754 | + | 0.874651i | \(0.338909\pi\) | |||||||
\(632\) | − | 12.6647i | − | 0.503773i | ||||||
\(633\) | −5.99096 | − | 4.72580i | −0.238119 | − | 0.187834i | ||||
\(634\) | 26.5770 | 1.05551 | ||||||||
\(635\) | 5.49356 | − | 11.9012i | 0.218005 | − | 0.472286i | ||||
\(636\) | −1.62757 | − | 4.08308i | −0.0645374 | − | 0.161905i | ||||
\(637\) | −4.89250 | − | 16.5740i | −0.193848 | − | 0.656687i | ||||
\(638\) | − | 2.09677i | − | 0.0830120i | ||||||
\(639\) | 28.8503 | + | 8.56460i | 1.14130 | + | 0.338810i | ||||
\(640\) | 0.937140 | − | 2.03021i | 0.0370437 | − | 0.0802513i | ||||
\(641\) | −12.9874 | + | 22.4948i | −0.512971 | + | 0.888492i | 0.486916 | + | 0.873449i | \(0.338122\pi\) |
−0.999887 | + | 0.0150428i | \(0.995212\pi\) | |||||||
\(642\) | −5.50890 | − | 4.34553i | −0.217419 | − | 0.171505i | ||||
\(643\) | −34.8054 | − | 20.0949i | −1.37259 | − | 0.792465i | −0.381336 | − | 0.924436i | \(-0.624536\pi\) |
−0.991254 | + | 0.131971i | \(0.957869\pi\) | |||||||
\(644\) | 1.52526 | + | 10.5545i | 0.0601035 | + | 0.415904i | ||||
\(645\) | 1.40276 | − | 26.3700i | 0.0552338 | − | 1.03832i | ||||
\(646\) | 36.7189 | 1.44469 | ||||||||
\(647\) | 26.4801 | − | 15.2883i | 1.04104 | − | 0.601044i | 0.120912 | − | 0.992663i | \(-0.461418\pi\) |
0.920127 | + | 0.391619i | \(0.128085\pi\) | |||||||
\(648\) | −4.91077 | + | 7.54217i | −0.192913 | + | 0.296284i | ||||
\(649\) | −8.04440 | + | 13.9333i | −0.315770 | + | 0.546930i | ||||
\(650\) | 12.1391 | − | 2.23763i | 0.476135 | − | 0.0877671i | ||||
\(651\) | 0.0987462 | + | 0.0571125i | 0.00387017 | + | 0.00223841i | ||||
\(652\) | 19.5044 | + | 11.2609i | 0.763853 | + | 0.441010i | ||||
\(653\) | 20.2438 | − | 11.6878i | 0.792202 | − | 0.457378i | −0.0485353 | − | 0.998821i | \(-0.515455\pi\) |
0.840737 | + | 0.541444i | \(0.182122\pi\) | |||||||
\(654\) | 4.91252 | + | 12.3240i | 0.192095 | + | 0.481907i | ||||
\(655\) | −3.43856 | − | 37.6225i | −0.134356 | − | 1.47003i | ||||
\(656\) | −2.73422 | + | 4.73581i | −0.106753 | + | 0.184902i | ||||
\(657\) | −29.6241 | + | 7.09339i | −1.15575 | + | 0.276739i | ||||
\(658\) | 12.2917 | − | 30.7673i | 0.479180 | − | 1.19944i | ||||
\(659\) | 18.2243 | + | 31.5654i | 0.709917 | + | 1.22961i | 0.964888 | + | 0.262663i | \(0.0846007\pi\) |
−0.254971 | + | 0.966949i | \(0.582066\pi\) | |||||||
\(660\) | 3.26618 | + | 6.42272i | 0.127136 | + | 0.250004i | ||||
\(661\) | −29.7768 | −1.15818 | −0.579092 | − | 0.815262i | \(-0.696593\pi\) | ||||
−0.579092 | + | 0.815262i | \(0.696593\pi\) | |||||||
\(662\) | 2.31580i | 0.0900061i | ||||||||
\(663\) | −4.38498 | + | 30.1791i | −0.170298 | + | 1.17206i | ||||
\(664\) | −8.24296 | − | 14.2772i | −0.319889 | − | 0.554064i | ||||
\(665\) | −7.08212 | − | 29.6240i | −0.274633 | − | 1.14877i | ||||
\(666\) | 0.358395 | − | 0.339697i | 0.0138875 | − | 0.0131630i | ||||
\(667\) | 3.93404 | + | 2.27132i | 0.152327 | + | 0.0879458i | ||||
\(668\) | −1.38259 | − | 0.798239i | −0.0534940 | − | 0.0308848i | ||||
\(669\) | −8.06652 | − | 20.2365i | −0.311870 | − | 0.782387i | ||||
\(670\) | −31.9624 | − | 14.7537i | −1.23482 | − | 0.569986i | ||||
\(671\) | 5.98633 | − | 10.3686i | 0.231100 | − | 0.400277i | ||||
\(672\) | 2.29434 | − | 3.96686i | 0.0885061 | − | 0.153025i | ||||
\(673\) | 5.68572 | − | 3.28265i | 0.219168 | − | 0.126537i | −0.386397 | − | 0.922333i | \(-0.626280\pi\) |
0.605565 | + | 0.795796i | \(0.292947\pi\) | |||||||
\(674\) | −5.35691 | + | 9.27844i | −0.206340 | + | 0.357392i | ||||
\(675\) | −25.0185 | + | 7.00545i | −0.962961 | + | 0.269640i | ||||
\(676\) | 3.45271 | + | 5.98026i | 0.132796 | + | 0.230010i | ||||
\(677\) | 1.18205i | 0.0454298i | 0.999742 | + | 0.0227149i | \(0.00723101\pi\) | ||||
−0.999742 | + | 0.0227149i | \(0.992769\pi\) | |||||||
\(678\) | 20.7129 | + | 16.3388i | 0.795473 | + | 0.627486i | ||||
\(679\) | 1.55764 | + | 10.7785i | 0.0597766 | + | 0.413641i | ||||
\(680\) | 1.45150 | + | 15.8814i | 0.0556626 | + | 0.609025i | ||||
\(681\) | −3.66042 | + | 4.64037i | −0.140268 | + | 0.177819i | ||||
\(682\) | 0.0401072 | + | 0.0231559i | 0.00153578 | + | 0.000886686i | ||||
\(683\) | −33.5322 | + | 19.3599i | −1.28308 | + | 0.740784i | −0.977409 | − | 0.211355i | \(-0.932213\pi\) |
−0.305666 | + | 0.952139i | \(0.598879\pi\) | |||||||
\(684\) | 11.2101 | − | 10.6252i | 0.428628 | − | 0.406266i | ||||
\(685\) | −6.16700 | − | 8.73512i | −0.235629 | − | 0.333752i | ||||
\(686\) | −7.72995 | − | 16.8300i | −0.295131 | − | 0.642571i | ||||
\(687\) | 38.7219 | − | 15.4350i | 1.47733 | − | 0.588884i | ||||
\(688\) | −5.90484 | + | 3.40916i | −0.225120 | + | 0.129973i | ||||
\(689\) | −6.26501 | −0.238678 | ||||||||
\(690\) | −15.5886 | − | 0.829244i | −0.593448 | − | 0.0315688i | ||||
\(691\) | −49.0335 | −1.86532 | −0.932661 | − | 0.360754i | \(-0.882519\pi\) | ||||
−0.932661 | + | 0.360754i | \(0.882519\pi\) | |||||||
\(692\) | 22.5323i | 0.856549i | ||||||||
\(693\) | 5.45733 | + | 13.7215i | 0.207307 | + | 0.521235i | ||||
\(694\) | 2.60399 | 0.0988459 | ||||||||
\(695\) | −2.99329 | + | 2.11326i | −0.113542 | + | 0.0801607i | ||||
\(696\) | −0.722809 | − | 1.81331i | −0.0273980 | − | 0.0687333i | ||||
\(697\) | − | 39.0008i | − | 1.47726i | ||||||
\(698\) | 15.0503 | − | 8.68928i | 0.569661 | − | 0.328894i | ||||
\(699\) | 25.5128 | − | 32.3429i | 0.964981 | − | 1.22332i | ||||
\(700\) | 12.5328 | − | 4.23416i | 0.473697 | − | 0.160036i | ||||
\(701\) | 4.72481 | 0.178454 | 0.0892269 | − | 0.996011i | \(-0.471560\pi\) | ||||
0.0892269 | + | 0.996011i | \(0.471560\pi\) | |||||||
\(702\) | 7.39414 | + | 10.4824i | 0.279074 | + | 0.395632i | ||||
\(703\) | −0.733907 | + | 0.423722i | −0.0276798 | + | 0.0159810i | ||||
\(704\) | 0.930226 | − | 1.61120i | 0.0350592 | − | 0.0607243i | ||||
\(705\) | 40.6547 | + | 26.4469i | 1.53115 | + | 0.996048i | ||||
\(706\) | 0.781154 | − | 1.35300i | 0.0293991 | − | 0.0509207i | ||||
\(707\) | 5.19436 | + | 6.59539i | 0.195354 | + | 0.248045i | ||||
\(708\) | −2.15372 | + | 14.8228i | −0.0809419 | + | 0.557074i | ||||
\(709\) | −11.8277 | −0.444200 | −0.222100 | − | 0.975024i | \(-0.571291\pi\) | ||||
−0.222100 | + | 0.975024i | \(0.571291\pi\) | |||||||
\(710\) | 9.40097 | − | 20.3662i | 0.352812 | − | 0.764330i | ||||
\(711\) | 36.4229 | + | 10.8127i | 1.36597 | + | 0.405506i | ||||
\(712\) | 4.68699 | + | 2.70604i | 0.175653 | + | 0.101413i | ||||
\(713\) | −0.0868919 | + | 0.0501670i | −0.00325413 | + | 0.00187877i | ||||
\(714\) | −0.0251384 | + | 32.6829i | −0.000940780 | + | 1.22313i | ||||
\(715\) | 10.2275 | − | 0.934756i | 0.382487 | − | 0.0349579i | ||||
\(716\) | 7.22646 | + | 12.5166i | 0.270065 | + | 0.467767i | ||||
\(717\) | 31.2155 | + | 24.6235i | 1.16577 | + | 0.919581i | ||||
\(718\) | 7.38941 | + | 4.26628i | 0.275771 | + | 0.159216i | ||||
\(719\) | −21.5479 | + | 37.3220i | −0.803600 | + | 1.39188i | 0.113633 | + | 0.993523i | \(0.463751\pi\) |
−0.917232 | + | 0.398353i | \(0.869582\pi\) | |||||||
\(720\) | 5.03869 | + | 4.42849i | 0.187781 | + | 0.165040i | ||||
\(721\) | −3.66938 | − | 25.3914i | −0.136655 | − | 0.945624i | ||||
\(722\) | −6.50110 | + | 3.75341i | −0.241946 | + | 0.139687i | ||||
\(723\) | −16.5363 | − | 13.0441i | −0.614990 | − | 0.485117i | ||||
\(724\) | −3.56702 | −0.132567 | ||||||||
\(725\) | 1.88621 | − | 5.31006i | 0.0700521 | − | 0.197211i | ||||
\(726\) | −4.83491 | − | 12.1293i | −0.179440 | − | 0.450161i | ||||
\(727\) | −14.3846 | + | 8.30493i | −0.533494 | + | 0.308013i | −0.742438 | − | 0.669915i | \(-0.766331\pi\) |
0.208944 | + | 0.977928i | \(0.432997\pi\) | |||||||
\(728\) | −4.04128 | − | 5.13130i | −0.149780 | − | 0.190178i | ||||
\(729\) | −17.4982 | − | 20.5624i | −0.648083 | − | 0.761570i | ||||
\(730\) | 2.06651 | + | 22.6104i | 0.0764850 | + | 0.836850i | ||||
\(731\) | 24.3141 | − | 42.1133i | 0.899290 | − | 1.55762i | ||||
\(732\) | 1.60272 | − | 11.0305i | 0.0592382 | − | 0.407700i | ||||
\(733\) | −43.6249 | + | 25.1868i | −1.61132 | + | 0.930297i | −0.622257 | + | 0.782813i | \(0.713784\pi\) |
−0.989065 | + | 0.147483i | \(0.952883\pi\) | |||||||
\(734\) | −14.0264 | + | 24.2944i | −0.517723 | + | 0.896723i | ||||
\(735\) | 26.3727 | − | 6.28340i | 0.972771 | − | 0.231767i | ||||
\(736\) | 2.01533 | + | 3.49065i | 0.0742859 | + | 0.128667i | ||||
\(737\) | −25.3657 | − | 14.6449i | −0.934357 | − | 0.539451i | ||||
\(738\) | −11.2856 | − | 11.9067i | −0.415427 | − | 0.438293i | ||||
\(739\) | 21.8633 | + | 37.8684i | 0.804256 | + | 1.39301i | 0.916792 | + | 0.399364i | \(0.130769\pi\) |
−0.112537 | + | 0.993648i | \(0.535898\pi\) | |||||||
\(740\) | −0.212277 | − | 0.300675i | −0.00780345 | − | 0.0110530i | ||||
\(741\) | −8.15157 | − | 20.4498i | −0.299456 | − | 0.751244i | ||||
\(742\) | −6.64523 | + | 0.960323i | −0.243954 | + | 0.0352546i | ||||
\(743\) | −31.4095 | − | 18.1343i | −1.15230 | − | 0.665282i | −0.202856 | − | 0.979209i | \(-0.565022\pi\) |
−0.949447 | + | 0.313926i | \(0.898356\pi\) | |||||||
\(744\) | 0.0426675 | + | 0.00619952i | 0.00156427 | + | 0.000227285i | ||||
\(745\) | 0.230462 | + | 2.52156i | 0.00844346 | + | 0.0923829i | ||||
\(746\) | −7.03010 | − | 12.1765i | −0.257390 | − | 0.445813i | ||||
\(747\) | 48.0981 | − | 11.5169i | 1.75982 | − | 0.421382i | ||||
\(748\) | 13.2687i | 0.485153i | ||||||||
\(749\) | −8.42008 | + | 6.63144i | −0.307663 | + | 0.242307i | ||||
\(750\) | 2.49386 | + | 19.2037i | 0.0910628 | + | 0.701219i | ||||
\(751\) | −22.0116 | − | 38.1253i | −0.803217 | − | 1.39121i | −0.917489 | − | 0.397762i | \(-0.869787\pi\) |
0.114272 | − | 0.993449i | \(-0.463546\pi\) | |||||||
\(752\) | − | 12.5226i | − | 0.456653i | ||||||
\(753\) | 6.65277 | − | 45.7870i | 0.242441 | − | 1.66857i | ||||
\(754\) | −2.78231 | −0.101326 | ||||||||
\(755\) | 2.79405 | − | 1.97260i | 0.101686 | − | 0.0717903i | ||||
\(756\) | 9.44967 | + | 9.98518i | 0.343681 | + | 0.363157i | ||||
\(757\) | − | 14.2814i | − | 0.519068i | −0.965734 | − | 0.259534i | \(-0.916431\pi\) | ||
0.965734 | − | 0.259534i | \(-0.0835689\pi\) | |||||||
\(758\) | − | 9.12176i | − | 0.331317i | ||||||
\(759\) | −12.8534 | − | 1.86758i | −0.466549 | − | 0.0677887i | ||||
\(760\) | −6.63972 | − | 9.40469i | −0.240848 | − | 0.341144i | ||||
\(761\) | −2.82110 | − | 4.88629i | −0.102265 | − | 0.177128i | 0.810353 | − | 0.585943i | \(-0.199276\pi\) |
−0.912617 | + | 0.408815i | \(0.865942\pi\) | |||||||
\(762\) | 1.45994 | − | 10.0479i | 0.0528880 | − | 0.363996i | ||||
\(763\) | 20.0574 | − | 2.89855i | 0.726126 | − | 0.104935i | ||||
\(764\) | 1.91746 | 0.0693713 | ||||||||
\(765\) | −46.9134 | − | 9.38456i | −1.69616 | − | 0.339299i | ||||
\(766\) | 5.04982 | + | 8.74655i | 0.182457 | + | 0.316026i | ||||
\(767\) | 18.4888 | + | 10.6745i | 0.667591 | + | 0.385434i | ||||
\(768\) | 0.249049 | − | 1.71405i | 0.00898678 | − | 0.0618505i | ||||
\(769\) | −2.47121 | + | 4.28027i | −0.0891143 | + | 0.154350i | −0.907137 | − | 0.420835i | \(-0.861737\pi\) |
0.818023 | + | 0.575186i | \(0.195070\pi\) | |||||||
\(770\) | 10.7049 | − | 2.55919i | 0.385779 | − | 0.0922270i | ||||
\(771\) | −8.33045 | − | 20.8986i | −0.300014 | − | 0.752645i | ||||
\(772\) | 14.2477i | 0.512787i | ||||||||
\(773\) | −24.7596 | + | 14.2949i | −0.890540 | + | 0.514153i | −0.874119 | − | 0.485712i | \(-0.838560\pi\) |
−0.0164207 | + | 0.999865i | \(0.505227\pi\) | |||||||
\(774\) | −4.76323 | − | 19.8926i | −0.171211 | − | 0.715027i | ||||
\(775\) | 0.0807407 | + | 0.0947217i | 0.00290029 | + | 0.00340250i | ||||
\(776\) | 2.05811 | + | 3.56475i | 0.0738817 | + | 0.127967i | ||||
\(777\) | −0.376645 | − | 0.653529i | −0.0135121 | − | 0.0234452i | ||||
\(778\) | 25.6736 | + | 14.8227i | 0.920444 | + | 0.531419i | ||||
\(779\) | 14.0771 | + | 24.3822i | 0.504363 | + | 0.873583i | ||||
\(780\) | 8.52260 | − | 4.33405i | 0.305158 | − | 0.155184i | ||||
\(781\) | 9.33162 | − | 16.1628i | 0.333912 | − | 0.578352i | ||||
\(782\) | −24.8952 | − | 14.3733i | −0.890252 | − | 0.513987i | ||||
\(783\) | 5.83210 | − | 0.530620i | 0.208422 | − | 0.0189628i | ||||
\(784\) | −5.07309 | − | 4.82326i | −0.181182 | − | 0.172259i | ||||
\(785\) | −1.74146 | + | 3.77270i | −0.0621555 | + | 0.134653i | ||||
\(786\) | −10.8358 | − | 27.1837i | −0.386499 | − | 0.969609i | ||||
\(787\) | 25.5020i | 0.909048i | 0.890735 | + | 0.454524i | \(0.150191\pi\) | ||||
−0.890735 | + | 0.454524i | \(0.849809\pi\) | |||||||
\(788\) | 13.4264i | 0.478295i | ||||||||
\(789\) | 9.48641 | − | 12.0261i | 0.337725 | − | 0.428139i | ||||
\(790\) | 11.8686 | − | 25.7120i | 0.422264 | − | 0.914791i | ||||
\(791\) | 31.6586 | − | 24.9335i | 1.12565 | − | 0.886534i | ||||
\(792\) | 3.83953 | + | 4.05087i | 0.136432 | + | 0.143941i | ||||
\(793\) | −13.7586 | − | 7.94355i | −0.488583 | − | 0.282084i | ||||
\(794\) | −13.6690 | + | 23.6754i | −0.485094 | + | 0.840208i | ||||
\(795\) | 0.522104 | − | 9.81480i | 0.0185171 | − | 0.348095i | ||||
\(796\) | 3.33319 | + | 5.77325i | 0.118142 | + | 0.204627i | ||||
\(797\) | 37.2901 | + | 21.5295i | 1.32088 | + | 0.762612i | 0.983870 | − | 0.178887i | \(-0.0572497\pi\) |
0.337014 | + | 0.941500i | \(0.390583\pi\) | |||||||
\(798\) | −11.7809 | − | 20.4415i | −0.417040 | − | 0.723620i | ||||
\(799\) | 44.6556 | + | 77.3458i | 1.57980 | + | 2.73630i | ||||
\(800\) | 3.80519 | − | 3.24354i | 0.134534 | − | 0.114676i | ||||
\(801\) | −11.7840 | + | 11.1692i | −0.416368 | + | 0.394645i | ||||
\(802\) | 12.5252 | − | 7.23145i | 0.442282 | − | 0.255352i | ||||
\(803\) | 18.8907i | 0.666639i | ||||||||
\(804\) | −26.9849 | − | 3.92087i | −0.951686 | − | 0.138278i | ||||
\(805\) | −6.79440 | + | 22.8572i | −0.239471 | + | 0.805610i | ||||
\(806\) | 0.0307267 | − | 0.0532201i | 0.00108230 | − | 0.00187460i | ||||
\(807\) | −1.27636 | + | 0.508772i | −0.0449298 | + | 0.0179096i | ||||
\(808\) | 2.74800 | + | 1.58656i | 0.0966743 | + | 0.0558149i | ||||
\(809\) | 0.417099 | + | 0.722437i | 0.0146644 | + | 0.0253995i | 0.873264 | − | 0.487246i | \(-0.161999\pi\) |
−0.858600 | + | 0.512646i | \(0.828665\pi\) | |||||||
\(810\) | −17.0380 | + | 10.7101i | −0.598654 | + | 0.376316i | ||||
\(811\) | 2.98741 | 0.104902 | 0.0524510 | − | 0.998623i | \(-0.483297\pi\) | ||||
0.0524510 | + | 0.998623i | \(0.483297\pi\) | |||||||
\(812\) | −2.95117 | + | 0.426482i | −0.103566 | + | 0.0149666i | ||||
\(813\) | 40.9130 | + | 32.2730i | 1.43488 | + | 1.13186i | ||||
\(814\) | −0.153116 | − | 0.265205i | −0.00536671 | − | 0.00929541i | ||||
\(815\) | 29.0451 | + | 41.1404i | 1.01741 | + | 1.44109i | ||||
\(816\) | 4.57405 | + | 11.4749i | 0.160124 | + | 0.401703i | ||||
\(817\) | 35.1040i | 1.22813i | ||||||||
\(818\) | − | 33.1747i | − | 1.15993i | ||||||
\(819\) | 18.2076 | − | 7.24158i | 0.636227 | − | 0.253041i | ||||
\(820\) | −9.98916 | + | 7.05235i | −0.348837 | + | 0.246279i | ||||
\(821\) | 43.4646 | 1.51693 | 0.758463 | − | 0.651716i | \(-0.225951\pi\) | ||||
0.758463 | + | 0.651716i | \(0.225951\pi\) | |||||||
\(822\) | −6.50289 | − | 5.12962i | −0.226814 | − | 0.178916i | ||||
\(823\) | 6.68063i | 0.232872i | 0.993198 | + | 0.116436i | \(0.0371470\pi\) | ||||
−0.993198 | + | 0.116436i | \(0.962853\pi\) | |||||||
\(824\) | −4.84836 | − | 8.39761i | −0.168901 | − | 0.292545i | ||||
\(825\) | 0.612071 | + | 16.1004i | 0.0213096 | + | 0.560543i | ||||
\(826\) | 21.2471 | + | 8.48831i | 0.739281 | + | 0.295346i | ||||
\(827\) | 21.5493i | 0.749342i | 0.927158 | + | 0.374671i | \(0.122244\pi\) | ||||
−0.927158 | + | 0.374671i | \(0.877756\pi\) | |||||||
\(828\) | −11.7595 | + | 2.81578i | −0.408672 | + | 0.0978551i | ||||
\(829\) | −20.3294 | − | 35.2115i | −0.706068 | − | 1.22295i | −0.966305 | − | 0.257401i | \(-0.917134\pi\) |
0.260237 | − | 0.965545i | \(-0.416199\pi\) | |||||||
\(830\) | −3.35522 | − | 36.7106i | −0.116461 | − | 1.27424i | ||||
\(831\) | 11.4921 | − | 14.5686i | 0.398655 | − | 0.505380i | ||||
\(832\) | −2.13798 | − | 1.23436i | −0.0741210 | − | 0.0427938i | ||||
\(833\) | 48.5335 | + | 11.7002i | 1.68159 | + | 0.405386i | ||||
\(834\) | −1.75778 | + | 2.22836i | −0.0608670 | + | 0.0771619i | ||||
\(835\) | −2.05889 | − | 2.91628i | −0.0712509 | − | 0.100922i | ||||
\(836\) | −4.78925 | − | 8.29522i | −0.165640 | − | 0.286896i | ||||
\(837\) | −0.0542576 | + | 0.117417i | −0.00187542 | + | 0.00405851i | ||||
\(838\) | 4.43417 | + | 2.56007i | 0.153176 | + | 0.0884362i | ||||
\(839\) | 1.49547 | + | 2.59023i | 0.0516294 | + | 0.0894247i | 0.890685 | − | 0.454621i | \(-0.150225\pi\) |
−0.839056 | + | 0.544046i | \(0.816892\pi\) | |||||||
\(840\) | 8.37551 | − | 5.90347i | 0.288982 | − | 0.203689i | ||||
\(841\) | 13.8649 | − | 24.0147i | 0.478100 | − | 0.828094i | ||||
\(842\) | 0.441541 | − | 0.254924i | 0.0152165 | − | 0.00878526i | ||||
\(843\) | 25.0644 | − | 9.99100i | 0.863264 | − | 0.344108i | ||||
\(844\) | −2.20274 | + | 3.81526i | −0.0758215 | + | 0.131327i | ||||
\(845\) | 1.40539 | + | 15.3769i | 0.0483469 | + | 0.528981i | ||||
\(846\) | 36.0145 | + | 10.6914i | 1.23820 | + | 0.367578i | ||||
\(847\) | −19.7405 | + | 2.85276i | −0.678292 | + | 0.0980220i | ||||
\(848\) | −2.19776 | + | 1.26888i | −0.0754713 | + | 0.0435734i | ||||
\(849\) | −33.2007 | − | 4.82400i | −1.13944 | − | 0.165559i | ||||
\(850\) | −11.9362 | + | 33.6029i | −0.409410 | + | 1.15257i | ||||
\(851\) | 0.663448 | 0.0227427 | ||||||||
\(852\) | 2.49835 | − | 17.1946i | 0.0855920 | − | 0.589078i | ||||
\(853\) | −43.4957 | + | 25.1122i | −1.48926 | + | 0.859827i | −0.999925 | − | 0.0122673i | \(-0.996095\pi\) |
−0.489339 | + | 0.872094i | \(0.662762\pi\) | |||||||
\(854\) | −15.8113 | − | 6.31667i | −0.541050 | − | 0.216152i | ||||
\(855\) | 32.7162 | − | 11.0661i | 1.11887 | − | 0.378452i | ||||
\(856\) | −2.02550 | + | 3.50826i | −0.0692300 | + | 0.119910i | ||||
\(857\) | −14.6372 | − | 8.45078i | −0.499997 | − | 0.288673i | 0.228715 | − | 0.973493i | \(-0.426547\pi\) |
−0.728712 | + | 0.684820i | \(0.759881\pi\) | |||||||
\(858\) | 7.38975 | − | 2.94565i | 0.252282 | − | 0.100563i | ||||
\(859\) | 14.5854 | + | 25.2626i | 0.497646 | + | 0.861948i | 0.999996 | − | 0.00271598i | \(-0.000864524\pi\) |
−0.502350 | + | 0.864664i | \(0.667531\pi\) | |||||||
\(860\) | −15.1830 | + | 1.38767i | −0.517734 | + | 0.0473190i | ||||
\(861\) | −21.7118 | + | 12.5131i | −0.739937 | + | 0.426444i | ||||
\(862\) | 10.7259 | − | 6.19259i | 0.365325 | − | 0.210920i | ||||
\(863\) | 1.13286 | + | 0.654060i | 0.0385632 | + | 0.0222644i | 0.519158 | − | 0.854679i | \(-0.326246\pi\) |
−0.480594 | + | 0.876943i | \(0.659579\pi\) | |||||||
\(864\) | 4.71690 | + | 2.17965i | 0.160472 | + | 0.0741532i | ||||
\(865\) | −21.1159 | + | 45.7454i | −0.717962 | + | 1.55539i | ||||
\(866\) | −18.6516 | −0.633807 | ||||||||
\(867\) | −46.0530 | − | 36.3276i | −1.56404 | − | 1.23375i | ||||
\(868\) | 0.0244337 | − | 0.0611600i | 0.000829334 | − | 0.00207591i | ||||
\(869\) | 11.7810 | − | 20.4053i | 0.399643 | − | 0.692202i | ||||
\(870\) | 0.231868 | − | 4.35878i | 0.00786105 | − | 0.147776i | ||||
\(871\) | −19.4330 | + | 33.6589i | −0.658462 | + | 1.14049i | ||||
\(872\) | 6.63352 | − | 3.82986i | 0.224639 | − | 0.129696i | ||||
\(873\) | −12.0092 | + | 2.87555i | −0.406449 | + | 0.0973227i | ||||
\(874\) | 20.7517 | 0.701937 | ||||||||
\(875\) | 29.4123 | + | 3.14877i | 0.994318 | + | 0.106448i | ||||
\(876\) | 6.51210 | + | 16.3369i | 0.220023 | + | 0.551972i | ||||
\(877\) | −4.29183 | + | 2.47789i | −0.144925 | + | 0.0836724i | −0.570709 | − | 0.821152i | \(-0.693332\pi\) |
0.425784 | + | 0.904825i | \(0.359998\pi\) | |||||||
\(878\) | − | 0.383818i | − | 0.0129532i | ||||||
\(879\) | −6.47798 | + | 8.21223i | −0.218497 | + | 0.276991i | ||||
\(880\) | 3.39848 | − | 2.39933i | 0.114563 | − | 0.0808813i | ||||
\(881\) | 20.8587 | 0.702747 | 0.351374 | − | 0.936235i | \(-0.385715\pi\) | ||||
0.351374 | + | 0.936235i | \(0.385715\pi\) | |||||||
\(882\) | 18.2027 | − | 10.4720i | 0.612916 | − | 0.352611i | ||||
\(883\) | 7.31896i | 0.246303i | 0.992388 | + | 0.123151i | \(0.0393001\pi\) | ||||
−0.992388 | + | 0.123151i | \(0.960700\pi\) | |||||||
\(884\) | 17.6069 | 0.592184 | ||||||||
\(885\) | −18.2635 | + | 28.0750i | −0.613922 | + | 0.943732i | ||||
\(886\) | 5.42853 | 0.182375 | ||||||||
\(887\) | 23.7183 | − | 13.6938i | 0.796383 | − | 0.459792i | −0.0458220 | − | 0.998950i | \(-0.514591\pi\) |
0.842205 | + | 0.539158i | \(0.181257\pi\) | |||||||
\(888\) | −0.223839 | − | 0.176569i | −0.00751153 | − | 0.00592526i | ||||
\(889\) | −14.4027 | − | 5.75395i | −0.483051 | − | 0.192981i | ||||
\(890\) | 6.97967 | + | 9.88620i | 0.233959 | + | 0.331386i | ||||
\(891\) | −14.9282 | + | 7.58380i | −0.500112 | + | 0.254067i | ||||
\(892\) | −10.8925 | + | 6.28877i | −0.364707 | + | 0.210563i | ||||
\(893\) | −55.8348 | − | 32.2362i | −1.86844 | − | 1.07874i | ||||
\(894\) | 0.726242 | + | 1.82192i | 0.0242892 | + | 0.0609342i | ||||
\(895\) | 2.94146 | + | 32.1836i | 0.0983222 | + | 1.07578i | ||||
\(896\) | −2.45694 | − | 0.981558i | −0.0820805 | − | 0.0327916i | ||||
\(897\) | −2.47817 | + | 17.0558i | −0.0827439 | + | 0.569476i | ||||
\(898\) | − | 5.22072i | − | 0.174218i | ||||||
\(899\) | −0.0140274 | − | 0.0242961i | −0.000467839 | − | 0.000810321i | ||||
\(900\) | 6.07951 | + | 13.7128i | 0.202650 | + | 0.457092i | ||||
\(901\) | 9.04961 | − | 15.6744i | 0.301486 | − | 0.522190i | ||||
\(902\) | −8.81074 | + | 5.08688i | −0.293366 | + | 0.169375i | ||||
\(903\) | −31.2455 | − | 0.0240328i | −1.03978 | − | 0.000799762i | ||||
\(904\) | 7.61565 | − | 13.1907i | 0.253293 | − | 0.438716i | ||||
\(905\) | −7.24181 | − | 3.34279i | −0.240726 | − | 0.111118i | ||||
\(906\) | 1.64078 | − | 2.08004i | 0.0545113 | − | 0.0691047i | ||||
\(907\) | 44.8441 | + | 25.8908i | 1.48902 | + | 0.859688i | 0.999921 | − | 0.0125378i | \(-0.00399102\pi\) |
0.489103 | + | 0.872226i | \(0.337324\pi\) | |||||||
\(908\) | 2.95515 | + | 1.70616i | 0.0980702 | + | 0.0566209i | ||||
\(909\) | −6.90901 | + | 6.54856i | −0.229157 | + | 0.217202i | ||||
\(910\) | −3.39592 | − | 14.2049i | −0.112573 | − | 0.470887i | ||||
\(911\) | 8.58686 | + | 14.8729i | 0.284495 | + | 0.492760i | 0.972487 | − | 0.232959i | \(-0.0748406\pi\) |
−0.687991 | + | 0.725719i | \(0.741507\pi\) | |||||||
\(912\) | −7.00135 | − | 5.52282i | −0.231838 | − | 0.182879i | ||||
\(913\) | − | 30.6713i | − | 1.01507i | ||||||
\(914\) | 12.2815 | 0.406236 | ||||||||
\(915\) | 13.5910 | − | 20.8924i | 0.449305 | − | 0.690680i | ||||
\(916\) | −12.0334 | − | 20.8424i | −0.397594 | − | 0.688653i | ||||
\(917\) | −44.2415 | + | 6.39347i | −1.46098 | + | 0.211131i | ||||
\(918\) | −36.9065 | + | 3.35785i | −1.21809 | + | 0.110826i | ||||
\(919\) | 3.73425 | − | 6.46790i | 0.123181 | − | 0.213356i | −0.797839 | − | 0.602870i | \(-0.794024\pi\) |
0.921021 | + | 0.389514i | \(0.127357\pi\) | |||||||
\(920\) | 0.820319 | + | 8.97540i | 0.0270451 | + | 0.295910i | ||||
\(921\) | 50.5327 | + | 7.34232i | 1.66511 | + | 0.241938i | ||||
\(922\) | −2.26214 | + | 1.30604i | −0.0744995 | + | 0.0430123i | ||||
\(923\) | −21.4472 | − | 12.3826i | −0.705944 | − | 0.407577i | ||||
\(924\) | 7.38672 | − | 4.25715i | 0.243005 | − | 0.140050i | ||||
\(925\) | −0.149193 | − | 0.809368i | −0.00490543 | − | 0.0266119i | ||||
\(926\) | −9.80220 | + | 16.9779i | −0.322120 | + | 0.557929i | ||||
\(927\) | 28.2905 | − | 6.77406i | 0.929181 | − | 0.222489i | ||||
\(928\) | −0.976031 | + | 0.563512i | −0.0320398 | + | 0.0184982i | ||||
\(929\) | −1.78849 | −0.0586783 | −0.0293391 | − | 0.999570i | \(-0.509340\pi\) | ||||
−0.0293391 | + | 0.999570i | \(0.509340\pi\) | |||||||
\(930\) | 0.0808144 | + | 0.0525718i | 0.00265001 | + | 0.00172390i | ||||
\(931\) | −34.5648 | + | 10.2032i | −1.13282 | + | 0.334397i | ||||
\(932\) | −20.5971 | − | 11.8917i | −0.674681 | − | 0.389527i | ||||
\(933\) | 2.05285 | − | 14.1285i | 0.0672073 | − | 0.462547i | ||||
\(934\) | −8.06679 | + | 13.9721i | −0.263953 | + | 0.457181i | ||||
\(935\) | −12.4346 | + | 26.9383i | −0.406656 | + | 0.880978i | ||||
\(936\) | 5.37529 | − | 5.09485i | 0.175697 | − | 0.166531i | ||||
\(937\) | 37.8051i | 1.23504i | 0.786556 | + | 0.617519i | \(0.211862\pi\) | ||||
−0.786556 | + | 0.617519i | \(0.788138\pi\) | |||||||
\(938\) | −15.4530 | + | 38.6805i | −0.504559 | + | 1.26296i | ||||
\(939\) | 5.87913 | + | 0.854228i | 0.191858 | + | 0.0278767i | ||||
\(940\) | 11.7355 | − | 25.4236i | 0.382768 | − | 0.829227i | ||||
\(941\) | −23.3674 | −0.761756 | −0.380878 | − | 0.924625i | \(-0.624378\pi\) | ||||
−0.380878 | + | 0.924625i | \(0.624378\pi\) | |||||||
\(942\) | −0.462802 | + | 3.18518i | −0.0150789 | + | 0.103779i | ||||
\(943\) | − | 22.0414i | − | 0.717765i | ||||||
\(944\) | 8.64779 | 0.281462 | ||||||||
\(945\) | 9.82735 | + | 29.1277i | 0.319684 | + | 0.947524i | ||||
\(946\) | −12.6852 | −0.412430 | ||||||||
\(947\) | 48.7370i | 1.58374i | 0.610689 | + | 0.791870i | \(0.290892\pi\) | ||||
−0.610689 | + | 0.791870i | \(0.709108\pi\) | |||||||
\(948\) | 3.15412 | − | 21.7079i | 0.102441 | − | 0.705039i | ||||
\(949\) | 25.0670 | 0.813709 | ||||||||
\(950\) | −4.66654 | − | 25.3159i | −0.151403 | − | 0.821356i | ||||
\(951\) | 45.5543 | + | 6.61896i | 1.47720 | + | 0.214635i | ||||
\(952\) | 18.6755 | − | 2.69885i | 0.605275 | − | 0.0874702i | ||||
\(953\) | 41.3647i | 1.33993i | 0.742391 | + | 0.669967i | \(0.233692\pi\) | ||||
−0.742391 | + | 0.669967i | \(0.766308\pi\) | |||||||
\(954\) | −1.77285 | − | 7.40396i | −0.0573982 | − | 0.239712i | ||||
\(955\) | 3.89286 | + | 1.79693i | 0.125970 | + | 0.0581473i | ||||
\(956\) | 11.4772 | − | 19.8792i | 0.371201 | − | 0.642938i | ||||
\(957\) | 0.522199 | − | 3.59398i | 0.0168803 | − | 0.116177i | ||||
\(958\) | −19.4427 | − | 11.2252i | −0.628164 | − | 0.362671i | ||||
\(959\) | −9.93936 | + | 7.82798i | −0.320959 | + | 0.252779i | ||||
\(960\) | 2.11193 | − | 3.24650i | 0.0681622 | − | 0.104780i | ||||
\(961\) | −30.9994 | −0.999980 | ||||||||
\(962\) | −0.351912 | + | 0.203177i | −0.0113461 | + | 0.00655068i | ||||
\(963\) | −8.36028 | − | 8.82046i | −0.269406 | − | 0.284235i | ||||
\(964\) | −6.08000 | + | 10.5309i | −0.195824 | + | 0.339177i | ||||
\(965\) | −13.3521 | + | 28.9259i | −0.429819 | + | 0.931158i | ||||
\(966\) | −0.0142070 | + | 18.4708i | −0.000457102 | + | 0.594287i | ||||
\(967\) | −1.14078 | − | 0.658630i | −0.0366850 | − | 0.0211801i | 0.481545 | − | 0.876421i | \(-0.340076\pi\) |
−0.518230 | + | 0.855241i | \(0.673409\pi\) | |||||||
\(968\) | −6.52872 | + | 3.76936i | −0.209841 | + | 0.121152i | ||||
\(969\) | 62.9381 | + | 9.14480i | 2.02186 | + | 0.293773i | ||||
\(970\) | 0.837733 | + | 9.16593i | 0.0268980 | + | 0.294300i | ||||
\(971\) | 15.0115 | − | 26.0006i | 0.481741 | − | 0.834399i | −0.518040 | − | 0.855357i | \(-0.673338\pi\) |
0.999780 | + | 0.0209572i | \(0.00667136\pi\) | |||||||
\(972\) | −10.2957 | + | 11.7046i | −0.330234 | + | 0.375427i | ||||
\(973\) | 2.68244 | + | 3.40595i | 0.0859949 | + | 0.109190i | ||||
\(974\) | 14.7555 | + | 25.5573i | 0.472797 | + | 0.818909i | ||||
\(975\) | 21.3643 | − | 0.812186i | 0.684206 | − | 0.0260108i | ||||
\(976\) | −6.43535 | −0.205991 | ||||||||
\(977\) | − | 47.0686i | − | 1.50586i | −0.658101 | − | 0.752929i | \(-0.728640\pi\) | ||
0.658101 | − | 0.752929i | \(-0.271360\pi\) | |||||||
\(978\) | 30.6271 | + | 24.1593i | 0.979347 | + | 0.772530i | ||||
\(979\) | 5.03445 | + | 8.71993i | 0.160902 | + | 0.278690i | ||||
\(980\) | −5.77939 | − | 14.5464i | −0.184616 | − | 0.464669i | ||||
\(981\) | 5.35102 | + | 22.3475i | 0.170845 | + | 0.713500i | ||||
\(982\) | 3.46646 | + | 2.00136i | 0.110619 | + | 0.0638661i | ||||
\(983\) | −37.8324 | − | 21.8425i | −1.20666 | − | 0.696668i | −0.244636 | − | 0.969615i | \(-0.578668\pi\) |
−0.962029 | + | 0.272947i | \(0.912002\pi\) | |||||||
\(984\) | −5.86604 | + | 7.43646i | −0.187003 | + | 0.237066i | ||||
\(985\) | −12.5824 | + | 27.2584i | −0.400908 | + | 0.868526i | ||||
\(986\) | 4.01896 | − | 6.96104i | 0.127990 | − | 0.221685i | ||||
\(987\) | 28.7312 | − | 49.6756i | 0.914523 | − | 1.58119i | ||||
\(988\) | −11.0073 | + | 6.35508i | −0.350189 | + | 0.202182i | ||||
\(989\) | 13.7411 | − | 23.8004i | 0.436943 | − | 0.756807i | ||||
\(990\) | 3.99884 | + | 11.8223i | 0.127091 | + | 0.375738i | ||||
\(991\) | −16.5047 | − | 28.5870i | −0.524289 | − | 0.908095i | −0.999600 | − | 0.0282776i | \(-0.990998\pi\) |
0.475311 | − | 0.879818i | \(-0.342336\pi\) | |||||||
\(992\) | − | 0.0248928i | − | 0.000790346i | ||||||
\(993\) | −0.576747 | + | 3.96940i | −0.0183025 | + | 0.125965i | ||||
\(994\) | −24.6469 | − | 9.84656i | −0.781753 | − | 0.312314i | ||||
\(995\) | 1.35674 | + | 14.8446i | 0.0430116 | + | 0.470605i | ||||
\(996\) | −10.5731 | − | 26.5248i | −0.335023 | − | 0.840471i | ||||
\(997\) | 45.2935 | + | 26.1502i | 1.43446 | + | 0.828186i | 0.997457 | − | 0.0712737i | \(-0.0227064\pi\) |
0.437004 | + | 0.899460i | \(0.356040\pi\) | |||||||
\(998\) | −2.97954 | + | 1.72024i | −0.0943158 | + | 0.0544532i | ||||
\(999\) | 0.698908 | − | 0.493000i | 0.0221125 | − | 0.0155978i |
(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 | 630.2.ba.a.499.12 | ✓ | 96 | |
3.2 | odd | 2 | 1890.2.ba.a.1549.31 | 96 | |||
5.4 | even | 2 | inner | 630.2.ba.a.499.37 | yes | 96 | |
7.4 | even | 3 | 630.2.bq.a.319.28 | yes | 96 | ||
9.2 | odd | 6 | 1890.2.bq.a.289.42 | 96 | |||
9.7 | even | 3 | 630.2.bq.a.79.21 | yes | 96 | ||
15.14 | odd | 2 | 1890.2.ba.a.1549.20 | 96 | |||
21.11 | odd | 6 | 1890.2.bq.a.739.16 | 96 | |||
35.4 | even | 6 | 630.2.bq.a.319.21 | yes | 96 | ||
45.29 | odd | 6 | 1890.2.bq.a.289.16 | 96 | |||
45.34 | even | 6 | 630.2.bq.a.79.28 | yes | 96 | ||
63.11 | odd | 6 | 1890.2.ba.a.1369.20 | 96 | |||
63.25 | even | 3 | inner | 630.2.ba.a.529.13 | yes | 96 | |
105.74 | odd | 6 | 1890.2.bq.a.739.42 | 96 | |||
315.74 | odd | 6 | 1890.2.ba.a.1369.31 | 96 | |||
315.214 | even | 6 | inner | 630.2.ba.a.529.36 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.ba.a.499.12 | ✓ | 96 | 1.1 | even | 1 | trivial | |
630.2.ba.a.499.37 | yes | 96 | 5.4 | even | 2 | inner | |
630.2.ba.a.529.13 | yes | 96 | 63.25 | even | 3 | inner | |
630.2.ba.a.529.36 | yes | 96 | 315.214 | even | 6 | inner | |
630.2.bq.a.79.21 | yes | 96 | 9.7 | even | 3 | ||
630.2.bq.a.79.28 | yes | 96 | 45.34 | even | 6 | ||
630.2.bq.a.319.21 | yes | 96 | 35.4 | even | 6 | ||
630.2.bq.a.319.28 | yes | 96 | 7.4 | even | 3 | ||
1890.2.ba.a.1369.20 | 96 | 63.11 | odd | 6 | |||
1890.2.ba.a.1369.31 | 96 | 315.74 | odd | 6 | |||
1890.2.ba.a.1549.20 | 96 | 15.14 | odd | 2 | |||
1890.2.ba.a.1549.31 | 96 | 3.2 | odd | 2 | |||
1890.2.bq.a.289.16 | 96 | 45.29 | odd | 6 | |||
1890.2.bq.a.289.42 | 96 | 9.2 | odd | 6 | |||
1890.2.bq.a.739.16 | 96 | 21.11 | odd | 6 | |||
1890.2.bq.a.739.42 | 96 | 105.74 | odd | 6 |