Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 152.11 | ||
Character | \(\chi\) | \(=\) | 273.152 |
Dual form | 273.2.bf.b.185.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.913280 | + | 0.527282i | −0.645786 | + | 0.372845i | −0.786840 | − | 0.617157i | \(-0.788284\pi\) |
0.141054 | + | 0.990002i | \(0.454951\pi\) | |||||||
\(3\) | −1.53174 | − | 0.808559i | −0.884351 | − | 0.466822i | ||||
\(4\) | −0.443947 | + | 0.768938i | −0.221973 | + | 0.384469i | ||||
\(5\) | −0.000964697 | 0.00167090i | −0.000431425 | 0.000747251i | −0.866241 | − | 0.499626i | \(-0.833471\pi\) | ||
0.865810 | + | 0.500374i | \(0.166804\pi\) | |||||||
\(6\) | 1.82525 | − | 0.0692194i | 0.745154 | − | 0.0282587i | ||||
\(7\) | 1.27194 | − | 2.31995i | 0.480747 | − | 0.876859i | ||||
\(8\) | − | 3.04547i | − | 1.07674i | ||||||
\(9\) | 1.69246 | + | 2.47701i | 0.564155 | + | 0.825669i | ||||
\(10\) | − | 0.00203467i | − | 0.000643419i | ||||||
\(11\) | 2.49689i | 0.752840i | 0.926449 | + | 0.376420i | \(0.122845\pi\) | ||||
−0.926449 | + | 0.376420i | \(0.877155\pi\) | |||||||
\(12\) | 1.30174 | − | 0.818857i | 0.375781 | − | 0.236384i | ||||
\(13\) | −0.922193 | + | 3.48562i | −0.255770 | + | 0.966738i | ||||
\(14\) | 0.0616352 | + | 2.78943i | 0.0164727 | + | 0.745508i | ||||
\(15\) | 0.00282869 | − | 0.00177938i | 0.000730365 | − | 0.000459433i | ||||
\(16\) | 0.717929 | + | 1.24349i | 0.179482 | + | 0.310873i | ||||
\(17\) | −2.08762 | + | 3.61586i | −0.506322 | + | 0.876975i | 0.493651 | + | 0.869660i | \(0.335662\pi\) |
−0.999973 | + | 0.00731523i | \(0.997671\pi\) | |||||||
\(18\) | −2.85178 | − | 1.36979i | −0.672170 | − | 0.322864i | ||||
\(19\) | 5.36837i | 1.23159i | 0.787907 | + | 0.615794i | \(0.211165\pi\) | ||||
−0.787907 | + | 0.615794i | \(0.788835\pi\) | |||||||
\(20\) | −0.000856548 | − | 0.00148358i | −0.000191530 | − | 0.000331740i | ||||
\(21\) | −3.82410 | + | 2.52513i | −0.834486 | + | 0.551029i | ||||
\(22\) | −1.31657 | − | 2.28036i | −0.280693 | − | 0.486174i | ||||
\(23\) | 4.21813 | − | 2.43534i | 0.879540 | − | 0.507803i | 0.00903348 | − | 0.999959i | \(-0.497125\pi\) |
0.870507 | + | 0.492156i | \(0.163791\pi\) | |||||||
\(24\) | −2.46244 | + | 4.66487i | −0.502644 | + | 0.952213i | ||||
\(25\) | 2.50000 | + | 4.33012i | 0.500000 | + | 0.866025i | ||||
\(26\) | −0.995686 | − | 3.66960i | −0.195270 | − | 0.719669i | ||||
\(27\) | −0.589610 | − | 5.16259i | −0.113470 | − | 0.993541i | ||||
\(28\) | 1.21923 | + | 2.00798i | 0.230412 | + | 0.379472i | ||||
\(29\) | 7.57023 | + | 4.37067i | 1.40576 | + | 0.811614i | 0.994975 | − | 0.100120i | \(-0.0319227\pi\) |
0.410781 | + | 0.911734i | \(0.365256\pi\) | |||||||
\(30\) | −0.00164515 | + | 0.00311659i | −0.000300362 | + | 0.000569009i | ||||
\(31\) | −6.57778 | + | 3.79768i | −1.18140 | + | 0.682084i | −0.956339 | − | 0.292260i | \(-0.905593\pi\) |
−0.225065 | + | 0.974344i | \(0.572260\pi\) | |||||||
\(32\) | 3.96357 | + | 2.28837i | 0.700667 | + | 0.404530i | ||||
\(33\) | 2.01888 | − | 3.82459i | 0.351442 | − | 0.665775i | ||||
\(34\) | − | 4.40306i | − | 0.755118i | ||||||
\(35\) | 0.00264938 | + | 0.00436333i | 0.000447827 | + | 0.000737538i | ||||
\(36\) | −2.65603 | + | 0.201741i | −0.442672 | + | 0.0336235i | ||||
\(37\) | −1.82786 | − | 3.16594i | −0.300498 | − | 0.520478i | 0.675751 | − | 0.737130i | \(-0.263820\pi\) |
−0.976249 | + | 0.216652i | \(0.930486\pi\) | |||||||
\(38\) | −2.83065 | − | 4.90282i | −0.459191 | − | 0.795343i | ||||
\(39\) | 4.23089 | − | 4.59342i | 0.677485 | − | 0.735536i | ||||
\(40\) | 0.00508869 | + | 0.00293796i | 0.000804592 | + | 0.000464531i | ||||
\(41\) | 1.83038 | − | 3.17031i | 0.285857 | − | 0.495119i | −0.686960 | − | 0.726696i | \(-0.741055\pi\) |
0.972817 | + | 0.231577i | \(0.0743884\pi\) | |||||||
\(42\) | 2.16101 | − | 4.32253i | 0.333452 | − | 0.666981i | ||||
\(43\) | 1.32938 | + | 2.30256i | 0.202729 | + | 0.351137i | 0.949407 | − | 0.314049i | \(-0.101686\pi\) |
−0.746678 | + | 0.665186i | \(0.768352\pi\) | |||||||
\(44\) | −1.91995 | − | 1.10849i | −0.289444 | − | 0.167110i | ||||
\(45\) | −0.00577156 | 0.000438383i | −0.000860373 | 6.53503e-5i | ||||||
\(46\) | −2.56822 | + | 4.44829i | −0.378663 | + | 0.655864i | ||||
\(47\) | 1.79190 | − | 3.10366i | 0.261375 | − | 0.452715i | −0.705232 | − | 0.708976i | \(-0.749157\pi\) |
0.966608 | + | 0.256261i | \(0.0824907\pi\) | |||||||
\(48\) | −0.0942468 | − | 2.48519i | −0.0136033 | − | 0.358707i | ||||
\(49\) | −3.76435 | − | 5.90167i | −0.537765 | − | 0.843095i | ||||
\(50\) | −4.56640 | − | 2.63641i | −0.645786 | − | 0.372845i | ||||
\(51\) | 6.12133 | − | 3.85060i | 0.857158 | − | 0.539192i | ||||
\(52\) | −2.27082 | − | 2.25654i | −0.314907 | − | 0.312926i | ||||
\(53\) | −12.3735 | + | 7.14382i | −1.69962 | + | 0.981279i | −0.753516 | + | 0.657429i | \(0.771644\pi\) |
−0.946108 | + | 0.323850i | \(0.895023\pi\) | |||||||
\(54\) | 3.26062 | + | 4.40400i | 0.443715 | + | 0.599309i | ||||
\(55\) | −0.00417206 | − | 0.00240874i | −0.000562561 | − | 0.000324795i | ||||
\(56\) | −7.06534 | − | 3.87365i | −0.944146 | − | 0.517638i | ||||
\(57\) | 4.34064 | − | 8.22295i | 0.574932 | − | 1.08916i | ||||
\(58\) | −9.21832 | −1.21042 | ||||||||
\(59\) | 2.61565 | − | 4.53044i | 0.340529 | − | 0.589813i | −0.644002 | − | 0.765023i | \(-0.722727\pi\) |
0.984531 | + | 0.175211i | \(0.0560607\pi\) | |||||||
\(60\) | 0.000112444 | 0.00296504i | 1.45165e−5 | 0.000382785i | ||||||
\(61\) | 7.57921i | 0.970418i | 0.874398 | + | 0.485209i | \(0.161256\pi\) | ||||
−0.874398 | + | 0.485209i | \(0.838744\pi\) | |||||||
\(62\) | 4.00490 | − | 6.93670i | 0.508623 | − | 0.880961i | ||||
\(63\) | 7.89925 | − | 0.775837i | 0.995211 | − | 0.0977463i | ||||
\(64\) | −7.69818 | −0.962273 | ||||||||
\(65\) | −0.00493450 | − | 0.00490346i | −0.000612050 | − | 0.000608200i | ||||
\(66\) | 0.172833 | + | 4.55744i | 0.0212743 | + | 0.560982i | ||||
\(67\) | 14.2543 | 1.74143 | 0.870717 | − | 0.491784i | \(-0.163655\pi\) | ||||
0.870717 | + | 0.491784i | \(0.163655\pi\) | |||||||
\(68\) | −1.85358 | − | 3.21050i | −0.224780 | − | 0.389330i | ||||
\(69\) | −8.43019 | + | 0.319701i | −1.01488 | + | 0.0384875i | ||||
\(70\) | −0.00472034 | − | 0.00258797i | −0.000564188 | − | 0.000309322i | ||||
\(71\) | −1.24050 | + | 0.716205i | −0.147221 | + | 0.0849979i | −0.571801 | − | 0.820392i | \(-0.693755\pi\) |
0.424580 | + | 0.905390i | \(0.360422\pi\) | |||||||
\(72\) | 7.54365 | − | 5.15435i | 0.889028 | − | 0.607446i | ||||
\(73\) | 1.61067 | − | 0.929921i | 0.188515 | − | 0.108839i | −0.402772 | − | 0.915300i | \(-0.631953\pi\) |
0.591287 | + | 0.806461i | \(0.298620\pi\) | |||||||
\(74\) | 3.33869 | + | 1.92759i | 0.388115 | + | 0.224078i | ||||
\(75\) | −0.328189 | − | 8.65403i | −0.0378960 | − | 0.999281i | ||||
\(76\) | −4.12794 | − | 2.38327i | −0.473508 | − | 0.273380i | ||||
\(77\) | 5.79266 | + | 3.17589i | 0.660135 | + | 0.361926i | ||||
\(78\) | −1.44196 | + | 6.42596i | −0.163270 | + | 0.727596i | ||||
\(79\) | 3.64483 | − | 6.31302i | 0.410075 | − | 0.710271i | −0.584823 | − | 0.811161i | \(-0.698836\pi\) |
0.994898 | + | 0.100891i | \(0.0321692\pi\) | |||||||
\(80\) | −0.00277034 | −0.000309733 | ||||||||
\(81\) | −3.27113 | + | 8.38449i | −0.363459 | + | 0.931610i | ||||
\(82\) | 3.86050i | 0.426321i | ||||||||
\(83\) | 10.4089 | 1.14253 | 0.571263 | − | 0.820767i | \(-0.306454\pi\) | ||||
0.571263 | + | 0.820767i | \(0.306454\pi\) | |||||||
\(84\) | −0.243974 | − | 4.06152i | −0.0266197 | − | 0.443148i | ||||
\(85\) | −0.00402784 | − | 0.00697642i | −0.000436880 | − | 0.000756699i | ||||
\(86\) | −2.42820 | − | 1.40192i | −0.261839 | − | 0.151173i | ||||
\(87\) | −8.06169 | − | 12.8157i | −0.864303 | − | 1.37399i | ||||
\(88\) | 7.60420 | 0.810611 | ||||||||
\(89\) | 2.70190 | + | 4.67983i | 0.286401 | + | 0.496061i | 0.972948 | − | 0.231025i | \(-0.0742078\pi\) |
−0.686547 | + | 0.727085i | \(0.740874\pi\) | |||||||
\(90\) | 0.00503989 | − | 0.00344361i | 0.000531251 | − | 0.000362988i | ||||
\(91\) | 6.91350 | + | 6.57294i | 0.724732 | + | 0.689031i | ||||
\(92\) | 4.32464i | 0.450875i | ||||||||
\(93\) | 13.1461 | − | 0.498544i | 1.36319 | − | 0.0516966i | ||||
\(94\) | 3.77934i | 0.389809i | ||||||||
\(95\) | −0.00897003 | − | 0.00517885i | −0.000920305 | − | 0.000531339i | ||||
\(96\) | −4.22088 | − | 6.70997i | −0.430792 | − | 0.684833i | ||||
\(97\) | −2.07015 | + | 1.19520i | −0.210192 | + | 0.121354i | −0.601401 | − | 0.798948i | \(-0.705390\pi\) |
0.391209 | + | 0.920302i | \(0.372057\pi\) | |||||||
\(98\) | 6.54975 | + | 3.40500i | 0.661625 | + | 0.343956i | ||||
\(99\) | −6.18481 | + | 4.22589i | −0.621597 | + | 0.424718i | ||||
\(100\) | −4.43946 | −0.443946 | ||||||||
\(101\) | −18.0599 | −1.79703 | −0.898514 | − | 0.438946i | \(-0.855352\pi\) | ||||
−0.898514 | + | 0.438946i | \(0.855352\pi\) | |||||||
\(102\) | −3.56013 | + | 6.74434i | −0.352506 | + | 0.667790i | ||||
\(103\) | −8.45144 | − | 4.87944i | −0.832745 | − | 0.480786i | 0.0220466 | − | 0.999757i | \(-0.492982\pi\) |
−0.854792 | + | 0.518971i | \(0.826315\pi\) | |||||||
\(104\) | 10.6154 | + | 2.80851i | 1.04092 | + | 0.275397i | ||||
\(105\) | −0.000530155 | − | 0.00882568i | −5.17378e−5 | − | 0.000861298i | ||||
\(106\) | 7.53362 | − | 13.0486i | 0.731730 | − | 1.26739i | ||||
\(107\) | −4.73086 | + | 2.73136i | −0.457349 | + | 0.264051i | −0.710929 | − | 0.703264i | \(-0.751725\pi\) |
0.253580 | + | 0.967314i | \(0.418392\pi\) | |||||||
\(108\) | 4.23147 | + | 1.83854i | 0.407173 | + | 0.176914i | ||||
\(109\) | −3.68535 | − | 6.38321i | −0.352993 | − | 0.611401i | 0.633780 | − | 0.773514i | \(-0.281503\pi\) |
−0.986772 | + | 0.162113i | \(0.948169\pi\) | |||||||
\(110\) | 0.00508035 | 0.000484392 | ||||||||
\(111\) | 0.239954 | + | 6.32734i | 0.0227754 | + | 0.600564i | ||||
\(112\) | 3.79800 | − | 0.0839203i | 0.358877 | − | 0.00792972i | ||||
\(113\) | −0.390686 | + | 0.225562i | −0.0367526 | + | 0.0212191i | −0.518264 | − | 0.855221i | \(-0.673421\pi\) |
0.481511 | + | 0.876440i | \(0.340088\pi\) | |||||||
\(114\) | 0.371595 | + | 9.79860i | 0.0348031 | + | 0.917723i | ||||
\(115\) | 0.00939745i | 0.000876316i | ||||||||
\(116\) | −6.72156 | + | 3.88069i | −0.624081 | + | 0.360313i | ||||
\(117\) | −10.1947 | + | 3.61501i | −0.942499 | + | 0.334208i | ||||
\(118\) | 5.51674i | 0.507857i | ||||||||
\(119\) | 5.73330 | + | 9.44232i | 0.525571 | + | 0.865576i | ||||
\(120\) | −0.00541904 | − | 0.00861469i | −0.000494689 | − | 0.000786410i | ||||
\(121\) | 4.76555 | 0.433231 | ||||||||
\(122\) | −3.99638 | − | 6.92194i | −0.361815 | − | 0.626683i | ||||
\(123\) | −5.36705 | + | 3.37612i | −0.483930 | + | 0.304415i | ||||
\(124\) | − | 6.74388i | − | 0.605618i | ||||||
\(125\) | −0.0192939 | −0.00172570 | ||||||||
\(126\) | −6.80514 | + | 4.87369i | −0.606250 | + | 0.434183i | ||||
\(127\) | −4.71924 | + | 8.17397i | −0.418765 | + | 0.725322i | −0.995816 | − | 0.0913863i | \(-0.970870\pi\) |
0.577051 | + | 0.816708i | \(0.304204\pi\) | |||||||
\(128\) | −0.896545 | + | 0.517620i | −0.0792441 | + | 0.0457516i | ||||
\(129\) | −0.174516 | − | 4.60181i | −0.0153653 | − | 0.405167i | ||||
\(130\) | 0.00709209 | + | 0.00187636i | 0.000622017 | + | 0.000164568i | ||||
\(131\) | −3.11100 | + | 5.38841i | −0.271809 | + | 0.470788i | −0.969325 | − | 0.245782i | \(-0.920955\pi\) |
0.697516 | + | 0.716569i | \(0.254289\pi\) | |||||||
\(132\) | 2.04460 | + | 3.25031i | 0.177959 | + | 0.282903i | ||||
\(133\) | 12.4544 | + | 6.82823i | 1.07993 | + | 0.592082i | ||||
\(134\) | −13.0181 | + | 7.51602i | −1.12459 | + | 0.649285i | ||||
\(135\) | 0.00919499 | + | 0.00399515i | 0.000791379 | + | 0.000343848i | ||||
\(136\) | 11.0120 | + | 6.35778i | 0.944271 | + | 0.545175i | ||||
\(137\) | −5.33148 | − | 3.07813i | −0.455499 | − | 0.262983i | 0.254651 | − | 0.967033i | \(-0.418040\pi\) |
−0.710150 | + | 0.704051i | \(0.751373\pi\) | |||||||
\(138\) | 7.53055 | − | 4.73707i | 0.641043 | − | 0.403246i | ||||
\(139\) | 10.6666 | − | 6.15838i | 0.904731 | − | 0.522347i | 0.0259992 | − | 0.999662i | \(-0.491723\pi\) |
0.878732 | + | 0.477315i | \(0.158390\pi\) | |||||||
\(140\) | −0.00453132 | 0.000100124i | −0.000382966 | 8.46200e-6i | ||||||
\(141\) | −5.25421 | + | 3.30515i | −0.442485 | + | 0.278343i | ||||
\(142\) | 0.755285 | − | 1.30819i | 0.0633821 | − | 0.109781i | ||||
\(143\) | −8.70321 | − | 2.30261i | −0.727799 | − | 0.192554i | ||||
\(144\) | −1.86506 | + | 3.88288i | −0.155422 | + | 0.323573i | ||||
\(145\) | −0.0146060 | + | 0.00843275i | −0.00121296 | + | 0.000700302i | ||||
\(146\) | −0.980661 | + | 1.69856i | −0.0811601 | + | 0.140573i | ||||
\(147\) | 0.994169 | + | 12.0835i | 0.0819977 | + | 0.996633i | ||||
\(148\) | 3.24589 | 0.266810 | ||||||||
\(149\) | 7.16171i | 0.586710i | 0.956004 | + | 0.293355i | \(0.0947718\pi\) | ||||
−0.956004 | + | 0.293355i | \(0.905228\pi\) | |||||||
\(150\) | 4.86284 | + | 7.73050i | 0.397050 | + | 0.631193i | ||||
\(151\) | −8.14880 | − | 14.1141i | −0.663140 | − | 1.14859i | −0.979786 | − | 0.200049i | \(-0.935890\pi\) |
0.316646 | − | 0.948544i | \(-0.397443\pi\) | |||||||
\(152\) | 16.3492 | 1.32610 | ||||||||
\(153\) | −12.4897 | + | 0.948668i | −1.00974 | + | 0.0766953i | ||||
\(154\) | −6.96491 | + | 0.153896i | −0.561248 | + | 0.0124013i | ||||
\(155\) | − | 0.0146545i | − | 0.00117707i | ||||||
\(156\) | 1.65377 | + | 5.29253i | 0.132407 | + | 0.423742i | ||||
\(157\) | 4.07713 | − | 2.35393i | 0.325391 | − | 0.187864i | −0.328402 | − | 0.944538i | \(-0.606510\pi\) |
0.653793 | + | 0.756674i | \(0.273177\pi\) | |||||||
\(158\) | 7.68741i | 0.611577i | ||||||||
\(159\) | 24.7291 | − | 0.937811i | 1.96115 | − | 0.0743732i | ||||
\(160\) | −0.00764728 | + | 0.00441516i | −0.000604571 | + | 0.000349049i | ||||
\(161\) | −0.284672 | − | 12.8834i | −0.0224353 | − | 1.01536i | ||||
\(162\) | −1.43354 | − | 9.38220i | −0.112629 | − | 0.737135i | ||||
\(163\) | −4.20632 | −0.329464 | −0.164732 | − | 0.986338i | \(-0.552676\pi\) | ||||
−0.164732 | + | 0.986338i | \(0.552676\pi\) | |||||||
\(164\) | 1.62518 | + | 2.81490i | 0.126905 | + | 0.219806i | ||||
\(165\) | 0.00444291 | + | 0.00706293i | 0.000345880 | + | 0.000549848i | ||||
\(166\) | −9.50624 | + | 5.48843i | −0.737828 | + | 0.425985i | ||||
\(167\) | 7.24993 | − | 12.5573i | 0.561017 | − | 0.971709i | −0.436391 | − | 0.899757i | \(-0.643744\pi\) |
0.997408 | − | 0.0719525i | \(-0.0229230\pi\) | |||||||
\(168\) | 7.69021 | + | 11.6462i | 0.593312 | + | 0.898522i | ||||
\(169\) | −11.2991 | − | 6.42883i | −0.869163 | − | 0.494526i | ||||
\(170\) | 0.00735708 | + | 0.00424761i | 0.000564263 | + | 0.000325777i | ||||
\(171\) | −13.2975 | + | 9.08577i | −1.01688 | + | 0.694806i | ||||
\(172\) | −2.36070 | −0.180002 | ||||||||
\(173\) | −15.6967 | −1.19340 | −0.596700 | − | 0.802465i | \(-0.703522\pi\) | ||||
−0.596700 | + | 0.802465i | \(0.703522\pi\) | |||||||
\(174\) | 14.1201 | + | 7.45356i | 1.07044 | + | 0.565053i | ||||
\(175\) | 13.2255 | − | 0.292230i | 0.999755 | − | 0.0220905i | ||||
\(176\) | −3.10486 | + | 1.79259i | −0.234037 | + | 0.135122i | ||||
\(177\) | −7.66963 | + | 4.82455i | −0.576484 | + | 0.362636i | ||||
\(178\) | −4.93518 | − | 2.84933i | −0.369907 | − | 0.213566i | ||||
\(179\) | 6.46461i | 0.483188i | 0.970377 | + | 0.241594i | \(0.0776702\pi\) | ||||
−0.970377 | + | 0.241594i | \(0.922330\pi\) | |||||||
\(180\) | 0.00222517 | − | 0.00463259i | 0.000165855 | − | 0.000345293i | ||||
\(181\) | − | 0.939369i | − | 0.0698227i | −0.999390 | − | 0.0349114i | \(-0.988885\pi\) | ||
0.999390 | − | 0.0349114i | \(-0.0111149\pi\) | |||||||
\(182\) | −9.77976 | − | 2.35756i | −0.724924 | − | 0.174754i | ||||
\(183\) | 6.12824 | − | 11.6094i | 0.453012 | − | 0.858190i | ||||
\(184\) | −7.41675 | − | 12.8462i | −0.546770 | − | 0.947033i | ||||
\(185\) | 0.00705331 | 0.000518570 | ||||||||
\(186\) | −11.7432 | + | 7.38702i | −0.861054 | + | 0.541643i | ||||
\(187\) | −9.02840 | − | 5.21255i | −0.660222 | − | 0.381179i | ||||
\(188\) | 1.59101 | + | 2.75572i | 0.116037 | + | 0.200981i | ||||
\(189\) | −12.7269 | − | 5.19863i | −0.925747 | − | 0.378144i | ||||
\(190\) | 0.0109229 | 0.000792428 | ||||||||
\(191\) | 5.37944i | 0.389243i | 0.980878 | + | 0.194621i | \(0.0623478\pi\) | ||||
−0.980878 | + | 0.194621i | \(0.937652\pi\) | |||||||
\(192\) | 11.7916 | + | 6.22443i | 0.850987 | + | 0.449210i | ||||
\(193\) | 21.1426 | 1.52188 | 0.760938 | − | 0.648825i | \(-0.224739\pi\) | ||||
0.760938 | + | 0.648825i | \(0.224739\pi\) | |||||||
\(194\) | 1.26042 | − | 2.18311i | 0.0904928 | − | 0.156738i | ||||
\(195\) | 0.00359364 | + | 0.0115007i | 0.000257346 | + | 0.000823581i | ||||
\(196\) | 6.20919 | − | 0.274530i | 0.443513 | − | 0.0196093i | ||||
\(197\) | 22.4348 | + | 12.9527i | 1.59841 | + | 0.922843i | 0.991794 | + | 0.127848i | \(0.0408069\pi\) |
0.606616 | + | 0.794995i | \(0.292526\pi\) | |||||||
\(198\) | 3.42022 | − | 7.12057i | 0.243065 | − | 0.506037i | ||||
\(199\) | 2.39732 | + | 1.38409i | 0.169941 | + | 0.0981157i | 0.582558 | − | 0.812789i | \(-0.302052\pi\) |
−0.412617 | + | 0.910905i | \(0.635385\pi\) | |||||||
\(200\) | 13.1873 | − | 7.61367i | 0.932480 | − | 0.538368i | ||||
\(201\) | −21.8338 | − | 11.5254i | −1.54004 | − | 0.812940i | ||||
\(202\) | 16.4937 | − | 9.52267i | 1.16050 | − | 0.670012i | ||||
\(203\) | 19.7686 | − | 12.0033i | 1.38748 | − | 0.842470i | ||||
\(204\) | 0.243331 | + | 6.41639i | 0.0170365 | + | 0.449237i | ||||
\(205\) | 0.00353152 | + | 0.00611677i | 0.000246652 | + | 0.000427214i | ||||
\(206\) | 10.2914 | 0.717034 | ||||||||
\(207\) | 13.1714 | + | 6.32661i | 0.915474 | + | 0.439730i | ||||
\(208\) | −4.99641 | + | 1.35569i | −0.346438 | + | 0.0940003i | ||||
\(209\) | −13.4042 | −0.927189 | ||||||||
\(210\) | 0.00513781 | + | 0.00778078i | 0.000354542 | + | 0.000536925i | ||||
\(211\) | −3.90647 | + | 6.76621i | −0.268933 | + | 0.465805i | −0.968586 | − | 0.248677i | \(-0.920004\pi\) |
0.699654 | + | 0.714482i | \(0.253338\pi\) | |||||||
\(212\) | − | 12.6859i | − | 0.871271i | ||||||
\(213\) | 2.47923 | − | 0.0940204i | 0.169874 | − | 0.00644217i | ||||
\(214\) | 2.88040 | − | 4.98900i | 0.196900 | − | 0.341041i | ||||
\(215\) | −0.00512981 | −0.000349850 | ||||||||
\(216\) | −15.7225 | + | 1.79564i | −1.06978 | + | 0.122178i | ||||
\(217\) | 0.443919 | + | 20.0906i | 0.0301352 | + | 1.36384i | ||||
\(218\) | 6.73151 | + | 3.88644i | 0.455916 | + | 0.263223i | ||||
\(219\) | −3.21903 | + | 0.122076i | −0.217522 | + | 0.00824914i | ||||
\(220\) | 0.00370435 | − | 0.00213870i | 0.000249747 | − | 0.000144191i | ||||
\(221\) | −10.6783 | − | 10.6112i | −0.718303 | − | 0.713785i | ||||
\(222\) | −3.55544 | − | 5.65211i | −0.238625 | − | 0.379345i | ||||
\(223\) | −6.48830 | − | 3.74602i | −0.434489 | − | 0.250852i | 0.266768 | − | 0.963761i | \(-0.414044\pi\) |
−0.701257 | + | 0.712909i | \(0.747377\pi\) | |||||||
\(224\) | 10.3503 | − | 6.28463i | 0.691559 | − | 0.419909i | ||||
\(225\) | −6.49459 | + | 13.5211i | −0.432973 | + | 0.901406i | ||||
\(226\) | 0.237870 | − | 0.412003i | 0.0158229 | − | 0.0274061i | ||||
\(227\) | 4.27068 | − | 7.39703i | 0.283455 | − | 0.490958i | −0.688779 | − | 0.724972i | \(-0.741853\pi\) |
0.972233 | + | 0.234014i | \(0.0751861\pi\) | |||||||
\(228\) | 4.39593 | + | 6.98824i | 0.291127 | + | 0.462808i | ||||
\(229\) | 8.92049 | + | 5.15025i | 0.589482 | + | 0.340338i | 0.764893 | − | 0.644158i | \(-0.222792\pi\) |
−0.175410 | + | 0.984495i | \(0.556125\pi\) | |||||||
\(230\) | −0.00495511 | − | 0.00858250i | −0.000326730 | − | 0.000565913i | ||||
\(231\) | −6.30497 | − | 9.54835i | −0.414837 | − | 0.628235i | ||||
\(232\) | 13.3108 | − | 23.0549i | 0.873894 | − | 1.51363i | ||||
\(233\) | 1.09700 | + | 0.633351i | 0.0718666 | + | 0.0414922i | 0.535503 | − | 0.844534i | \(-0.320122\pi\) |
−0.463636 | + | 0.886026i | \(0.653456\pi\) | |||||||
\(234\) | 7.40447 | − | 8.67700i | 0.484046 | − | 0.567233i | ||||
\(235\) | 0.00345727 | + | 0.00598818i | 0.000225528 | + | 0.000390626i | ||||
\(236\) | 2.32242 | + | 4.02255i | 0.151177 | + | 0.261845i | ||||
\(237\) | −10.6874 | + | 6.72286i | −0.694220 | + | 0.436697i | ||||
\(238\) | −10.2149 | − | 5.60041i | −0.662132 | − | 0.363021i | ||||
\(239\) | − | 18.8399i | − | 1.21865i | −0.792921 | − | 0.609325i | \(-0.791441\pi\) | ||
0.792921 | − | 0.609325i | \(-0.208559\pi\) | |||||||
\(240\) | 0.00424344 | + | 0.00223998i | 0.000273913 | + | 0.000144590i | ||||
\(241\) | −1.05943 | − | 0.611661i | −0.0682438 | − | 0.0394006i | 0.465490 | − | 0.885053i | \(-0.345878\pi\) |
−0.533734 | + | 0.845653i | \(0.679212\pi\) | |||||||
\(242\) | −4.35228 | + | 2.51279i | −0.279775 | + | 0.161528i | ||||
\(243\) | 11.7899 | − | 10.1980i | 0.756322 | − | 0.654200i | ||||
\(244\) | −5.82794 | − | 3.36476i | −0.373096 | − | 0.215407i | ||||
\(245\) | 0.0134926 | 0.000596553i | 0.000862009 | 3.81124e-5i | ||||||
\(246\) | 3.12145 | − | 5.91329i | 0.199016 | − | 0.377018i | ||||
\(247\) | −18.7121 | − | 4.95067i | −1.19062 | − | 0.315004i | ||||
\(248\) | 11.5657 | + | 20.0324i | 0.734425 | + | 1.27206i | ||||
\(249\) | −15.9438 | − | 8.41622i | −1.01039 | − | 0.533356i | ||||
\(250\) | 0.0176208 | − | 0.0101733i | 0.00111443 | − | 0.000643419i | ||||
\(251\) | 4.42278 | + | 7.66048i | 0.279163 | + | 0.483525i | 0.971177 | − | 0.238359i | \(-0.0766096\pi\) |
−0.692014 | + | 0.721884i | \(0.743276\pi\) | |||||||
\(252\) | −2.91027 | + | 6.41846i | −0.183330 | + | 0.404325i | ||||
\(253\) | 6.08077 | + | 10.5322i | 0.382294 | + | 0.662153i | ||||
\(254\) | − | 9.95349i | − | 0.624538i | ||||||
\(255\) | 0.000528758 | 0.0139428i | 3.31121e−5 | 0.000873133i | ||||||
\(256\) | 8.24404 | − | 14.2791i | 0.515253 | − | 0.892444i | ||||
\(257\) | −5.47193 | − | 9.47765i | −0.341329 | − | 0.591200i | 0.643350 | − | 0.765572i | \(-0.277544\pi\) |
−0.984680 | + | 0.174372i | \(0.944210\pi\) | |||||||
\(258\) | 2.58584 | + | 4.11072i | 0.160987 | + | 0.255922i | ||||
\(259\) | −9.66976 | + | 0.213662i | −0.600849 | + | 0.0132763i | ||||
\(260\) | 0.00596112 | − | 0.00161745i | 0.000369693 | − | 0.000100310i | ||||
\(261\) | 1.98615 | + | 26.1487i | 0.122940 | + | 1.61857i | ||||
\(262\) | − | 6.56150i | − | 0.405371i | ||||||
\(263\) | − | 12.7145i | − | 0.784011i | −0.919963 | − | 0.392005i | \(-0.871781\pi\) | ||
0.919963 | − | 0.392005i | \(-0.128219\pi\) | |||||||
\(264\) | −11.6477 | − | 6.14845i | −0.716865 | − | 0.378411i | ||||
\(265\) | − | 0.0275665i | − | 0.00169339i | ||||||
\(266\) | −14.9747 | + | 0.330880i | −0.918159 | + | 0.0202876i | ||||
\(267\) | −0.354694 | − | 9.35293i | −0.0217069 | − | 0.572390i | ||||
\(268\) | −6.32813 | + | 10.9606i | −0.386552 | + | 0.669528i | ||||
\(269\) | 11.5793 | − | 20.0560i | 0.706003 | − | 1.22283i | −0.260325 | − | 0.965521i | \(-0.583830\pi\) |
0.966328 | − | 0.257313i | \(-0.0828370\pi\) | |||||||
\(270\) | −0.0105042 | + | 0.00119966i | −0.000639264 | + | 7.30091e-5i | ||||
\(271\) | −22.8158 | + | 13.1727i | −1.38596 | + | 0.800185i | −0.992857 | − | 0.119309i | \(-0.961932\pi\) |
−0.393104 | + | 0.919494i | \(0.628599\pi\) | |||||||
\(272\) | −5.99505 | −0.363503 | ||||||||
\(273\) | −5.27509 | − | 15.6580i | −0.319263 | − | 0.947666i | ||||
\(274\) | 6.49218 | 0.392207 | ||||||||
\(275\) | −10.8118 | + | 6.24222i | −0.651978 | + | 0.376420i | ||||
\(276\) | 3.49673 | − | 6.62423i | 0.210478 | − | 0.398732i | ||||
\(277\) | 2.20225 | − | 3.81442i | 0.132321 | − | 0.229186i | −0.792250 | − | 0.610196i | \(-0.791090\pi\) |
0.924571 | + | 0.381010i | \(0.124424\pi\) | |||||||
\(278\) | −6.49441 | + | 11.2486i | −0.389509 | + | 0.674649i | ||||
\(279\) | −20.5395 | − | 9.86577i | −1.22967 | − | 0.590648i | ||||
\(280\) | 0.0132884 | − | 0.00806862i | 0.000794134 | − | 0.000482192i | ||||
\(281\) | − | 13.2912i | − | 0.792885i | −0.918060 | − | 0.396442i | \(-0.870245\pi\) | ||
0.918060 | − | 0.396442i | \(-0.129755\pi\) | |||||||
\(282\) | 3.05582 | − | 5.78898i | 0.181972 | − | 0.344729i | ||||
\(283\) | − | 16.3786i | − | 0.973605i | −0.873512 | − | 0.486803i | \(-0.838163\pi\) | ||
0.873512 | − | 0.486803i | \(-0.161837\pi\) | |||||||
\(284\) | − | 1.27183i | − | 0.0754691i | ||||||
\(285\) | 0.00955236 | + | 0.0151855i | 0.000565833 | + | 0.000899509i | ||||
\(286\) | 9.16259 | − | 2.48612i | 0.541796 | − | 0.147007i | ||||
\(287\) | −5.02684 | − | 8.27882i | −0.296725 | − | 0.488683i | ||||
\(288\) | 1.03989 | + | 13.6908i | 0.0612763 | + | 0.806736i | ||||
\(289\) | −0.216300 | − | 0.374642i | −0.0127235 | − | 0.0220378i | ||||
\(290\) | 0.00889288 | − | 0.0154029i | 0.000522208 | − | 0.000904491i | ||||
\(291\) | 4.13733 | − | 0.156901i | 0.242534 | − | 0.00919771i | ||||
\(292\) | 1.65134i | 0.0966374i | ||||||||
\(293\) | −9.96323 | − | 17.2568i | −0.582058 | − | 1.00815i | −0.995235 | − | 0.0975037i | \(-0.968914\pi\) |
0.413177 | − | 0.910651i | \(-0.364419\pi\) | |||||||
\(294\) | −7.27938 | − | 10.5114i | −0.424542 | − | 0.613039i | ||||
\(295\) | 0.00504662 | + | 0.00874100i | 0.000293825 | + | 0.000508920i | ||||
\(296\) | −9.64179 | + | 5.56669i | −0.560417 | + | 0.323557i | ||||
\(297\) | 12.8904 | − | 1.47219i | 0.747978 | − | 0.0854252i | ||||
\(298\) | −3.77624 | − | 6.54065i | −0.218752 | − | 0.378889i | ||||
\(299\) | 4.59874 | + | 16.9486i | 0.265952 | + | 0.980166i | ||||
\(300\) | 6.80011 | + | 3.58957i | 0.392605 | + | 0.207244i | ||||
\(301\) | 7.03272 | − | 0.155395i | 0.405359 | − | 0.00895679i | ||||
\(302\) | 14.8843 | + | 8.59344i | 0.856494 | + | 0.494497i | ||||
\(303\) | 27.6631 | + | 14.6025i | 1.58920 | + | 0.838892i | ||||
\(304\) | −6.67551 | + | 3.85411i | −0.382867 | + | 0.221048i | ||||
\(305\) | −0.0126641 | − | 0.00731164i | −0.000725146 | − | 0.000418663i | ||||
\(306\) | 10.9064 | − | 7.45201i | 0.623478 | − | 0.426003i | ||||
\(307\) | 4.93316i | 0.281551i | 0.990042 | + | 0.140775i | \(0.0449595\pi\) | ||||
−0.990042 | + | 0.140775i | \(0.955040\pi\) | |||||||
\(308\) | −5.01369 | + | 3.04428i | −0.285682 | + | 0.173464i | ||||
\(309\) | 9.00010 | + | 14.3075i | 0.511998 | + | 0.813927i | ||||
\(310\) | 0.00772703 | + | 0.0133836i | 0.000438866 | + | 0.000760138i | ||||
\(311\) | 6.69213 | + | 11.5911i | 0.379476 | + | 0.657272i | 0.990986 | − | 0.133965i | \(-0.0427710\pi\) |
−0.611510 | + | 0.791237i | \(0.709438\pi\) | |||||||
\(312\) | −13.9891 | − | 12.8851i | −0.791979 | − | 0.729473i | ||||
\(313\) | 23.9599 | + | 13.8332i | 1.35429 | + | 0.781901i | 0.988847 | − | 0.148932i | \(-0.0475835\pi\) |
0.365445 | + | 0.930833i | \(0.380917\pi\) | |||||||
\(314\) | −2.48238 | + | 4.29960i | −0.140089 | + | 0.242641i | ||||
\(315\) | −0.00632403 | + | 0.0139473i | −0.000356319 | + | 0.000785843i | ||||
\(316\) | 3.23622 | + | 5.60529i | 0.182051 | + | 0.315322i | ||||
\(317\) | 12.8384 | + | 7.41223i | 0.721075 | + | 0.416313i | 0.815148 | − | 0.579253i | \(-0.196656\pi\) |
−0.0940735 | + | 0.995565i | \(0.529989\pi\) | |||||||
\(318\) | −22.0901 | + | 13.8957i | −1.23875 | + | 0.779233i | ||||
\(319\) | −10.9131 | + | 18.9020i | −0.611016 | + | 1.05831i | ||||
\(320\) | 0.00742641 | − | 0.0128629i | 0.000415149 | − | 0.000719059i | ||||
\(321\) | 9.45492 | − | 0.358562i | 0.527722 | − | 0.0200130i | ||||
\(322\) | 7.05320 | + | 11.6161i | 0.393059 | + | 0.647339i | ||||
\(323\) | −19.4113 | − | 11.2071i | −1.08007 | − | 0.623580i | ||||
\(324\) | −4.99495 | − | 6.23757i | −0.277497 | − | 0.346531i | ||||
\(325\) | −17.3987 | + | 4.72084i | −0.965104 | + | 0.261865i | ||||
\(326\) | 3.84155 | − | 2.21792i | 0.212764 | − | 0.122839i | ||||
\(327\) | 0.483797 | + | 12.7573i | 0.0267541 | + | 0.705478i | ||||
\(328\) | −9.65508 | − | 5.57436i | −0.533113 | − | 0.307793i | ||||
\(329\) | −4.92115 | − | 8.10477i | −0.271312 | − | 0.446831i | ||||
\(330\) | −0.00778178 | − | 0.00410776i | −0.000428373 | − | 0.000226125i | ||||
\(331\) | 5.80880 | 0.319280 | 0.159640 | − | 0.987175i | \(-0.448967\pi\) | ||||
0.159640 | + | 0.987175i | \(0.448967\pi\) | |||||||
\(332\) | −4.62100 | + | 8.00380i | −0.253610 | + | 0.439266i | ||||
\(333\) | 4.74848 | − | 9.88586i | 0.260215 | − | 0.541742i | ||||
\(334\) | 15.2910i | 0.836689i | ||||||||
\(335\) | −0.0137510 | + | 0.0238175i | −0.000751299 | + | 0.00130129i | ||||
\(336\) | −5.88541 | − | 2.94236i | −0.321075 | − | 0.160519i | ||||
\(337\) | −9.55520 | −0.520505 | −0.260252 | − | 0.965541i | \(-0.583806\pi\) | ||||
−0.260252 | + | 0.965541i | \(0.583806\pi\) | |||||||
\(338\) | 13.7091 | − | 0.0865022i | 0.745675 | − | 0.00470510i | ||||
\(339\) | 0.780810 | − | 0.0296109i | 0.0424078 | − | 0.00160824i | ||||
\(340\) | 0.00715258 | 0.000387903 | ||||||||
\(341\) | −9.48239 | − | 16.4240i | −0.513500 | − | 0.889409i | ||||
\(342\) | 7.35356 | − | 15.3094i | 0.397635 | − | 0.827837i | ||||
\(343\) | −18.4796 | + | 1.22657i | −0.997804 | + | 0.0662285i | ||||
\(344\) | 7.01238 | − | 4.04860i | 0.378082 | − | 0.218286i | ||||
\(345\) | 0.00759839 | − | 0.0143945i | 0.000409084 | − | 0.000774972i | ||||
\(346\) | 14.3355 | − | 8.27660i | 0.770681 | − | 0.444953i | ||||
\(347\) | 25.2168 | + | 14.5589i | 1.35371 | + | 0.781563i | 0.988767 | − | 0.149467i | \(-0.0477558\pi\) |
0.364941 | + | 0.931031i | \(0.381089\pi\) | |||||||
\(348\) | 13.4335 | − | 0.509441i | 0.720109 | − | 0.0273089i | ||||
\(349\) | 27.1567 | + | 15.6790i | 1.45367 | + | 0.839275i | 0.998687 | − | 0.0512262i | \(-0.0163129\pi\) |
0.454980 | + | 0.890501i | \(0.349646\pi\) | |||||||
\(350\) | −11.9245 | + | 7.24047i | −0.637392 | + | 0.387019i | ||||
\(351\) | 18.5386 | + | 2.70575i | 0.989516 | + | 0.144422i | ||||
\(352\) | −5.71380 | + | 9.89659i | −0.304547 | + | 0.527490i | ||||
\(353\) | −1.59546 | −0.0849177 | −0.0424588 | − | 0.999098i | \(-0.513519\pi\) | ||||
−0.0424588 | + | 0.999098i | \(0.513519\pi\) | |||||||
\(354\) | 4.46061 | − | 8.45022i | 0.237079 | − | 0.449124i | ||||
\(355\) | − | 0.00276368i | − | 0.000146681i | ||||||
\(356\) | −4.79800 | −0.254293 | ||||||||
\(357\) | −1.14726 | − | 19.0989i | −0.0607196 | − | 1.01082i | ||||
\(358\) | −3.40868 | − | 5.90400i | −0.180154 | − | 0.312036i | ||||
\(359\) | 11.1728 | + | 6.45064i | 0.589680 | + | 0.340452i | 0.764971 | − | 0.644065i | \(-0.222753\pi\) |
−0.175291 | + | 0.984517i | \(0.556087\pi\) | |||||||
\(360\) | 0.00133508 | + | 0.0175771i | 7.03651e−5 | + | 0.000926395i | ||||
\(361\) | −9.81939 | −0.516810 | ||||||||
\(362\) | 0.495312 | + | 0.857906i | 0.0260330 | + | 0.0450906i | ||||
\(363\) | −7.29958 | − | 3.85323i | −0.383129 | − | 0.202242i | ||||
\(364\) | −8.12341 | + | 2.39802i | −0.425782 | + | 0.125691i | ||||
\(365\) | 0.00358837i | 0.000187824i | ||||||||
\(366\) | 0.524628 | + | 13.8339i | 0.0274228 | + | 0.723111i | ||||
\(367\) | − | 13.0999i | − | 0.683807i | −0.939735 | − | 0.341903i | \(-0.888928\pi\) | ||
0.939735 | − | 0.341903i | \(-0.111072\pi\) | |||||||
\(368\) | 6.05663 | + | 3.49680i | 0.315724 | + | 0.182283i | ||||
\(369\) | 10.9507 | − | 0.831772i | 0.570072 | − | 0.0433003i | ||||
\(370\) | −0.00644165 | + | 0.00371909i | −0.000334885 | + | 0.000193346i | ||||
\(371\) | 0.835056 | + | 37.7923i | 0.0433540 | + | 1.96208i | ||||
\(372\) | −5.45282 | + | 10.3299i | −0.282716 | + | 0.535579i | ||||
\(373\) | 6.13740 | 0.317783 | 0.158891 | − | 0.987296i | \(-0.449208\pi\) | ||||
0.158891 | + | 0.987296i | \(0.449208\pi\) | |||||||
\(374\) | 10.9939 | 0.568483 | ||||||||
\(375\) | 0.0295533 | + | 0.0156003i | 0.00152613 | + | 0.000805595i | ||||
\(376\) | −9.45210 | − | 5.45717i | −0.487455 | − | 0.281432i | ||||
\(377\) | −22.2157 | + | 22.3564i | −1.14417 | + | 1.15141i | ||||
\(378\) | 14.3644 | − | 1.96288i | 0.738824 | − | 0.100959i | ||||
\(379\) | 6.45103 | − | 11.1735i | 0.331367 | − | 0.573945i | −0.651413 | − | 0.758723i | \(-0.725823\pi\) |
0.982780 | + | 0.184779i | \(0.0591568\pi\) | |||||||
\(380\) | 0.00796443 | − | 0.00459826i | 0.000408567 | − | 0.000235886i | ||||
\(381\) | 13.8378 | − | 8.70462i | 0.708932 | − | 0.445951i | ||||
\(382\) | −2.83648 | − | 4.91293i | −0.145127 | − | 0.251368i | ||||
\(383\) | 9.23976 | 0.472130 | 0.236065 | − | 0.971737i | \(-0.424142\pi\) | ||||
0.236065 | + | 0.971737i | \(0.424142\pi\) | |||||||
\(384\) | 1.79180 | − | 0.0679510i | 0.0914375 | − | 0.00346761i | ||||
\(385\) | −0.0108948 | + | 0.00661521i | −0.000555248 | + | 0.000337143i | ||||
\(386\) | −19.3091 | + | 11.1481i | −0.982806 | + | 0.567423i | ||||
\(387\) | −3.45352 | + | 7.18989i | −0.175553 | + | 0.365483i | ||||
\(388\) | − | 2.12242i | − | 0.107750i | ||||||
\(389\) | 11.3864 | − | 6.57391i | 0.577311 | − | 0.333311i | −0.182753 | − | 0.983159i | \(-0.558501\pi\) |
0.760064 | + | 0.649848i | \(0.225168\pi\) | |||||||
\(390\) | −0.00934610 | − | 0.00860847i | −0.000473258 | − | 0.000435907i | ||||
\(391\) | 20.3362i | 1.02845i | ||||||||
\(392\) | −17.9733 | + | 11.4642i | −0.907791 | + | 0.579031i | ||||
\(393\) | 9.12210 | − | 5.73823i | 0.460149 | − | 0.289455i | ||||
\(394\) | −27.3189 | −1.37631 | ||||||||
\(395\) | 0.00703230 | + | 0.0121803i | 0.000353834 | + | 0.000612858i | ||||
\(396\) | −0.503725 | − | 6.63181i | −0.0253131 | − | 0.333261i | ||||
\(397\) | 18.5599i | 0.931495i | 0.884918 | + | 0.465747i | \(0.154214\pi\) | ||||
−0.884918 | + | 0.465747i | \(0.845786\pi\) | |||||||
\(398\) | −2.91923 | −0.146328 | ||||||||
\(399\) | −13.5558 | − | 20.5292i | −0.678640 | − | 1.02774i | ||||
\(400\) | −3.58964 | + | 6.21745i | −0.179482 | + | 0.310872i | ||||
\(401\) | −10.6982 | + | 6.17658i | −0.534240 | + | 0.308444i | −0.742741 | − | 0.669578i | \(-0.766475\pi\) |
0.208501 | + | 0.978022i | \(0.433142\pi\) | |||||||
\(402\) | 26.0176 | − | 0.986671i | 1.29764 | − | 0.0492107i | ||||
\(403\) | −7.17130 | − | 26.4299i | −0.357228 | − | 1.31656i | ||||
\(404\) | 8.01763 | − | 13.8869i | 0.398892 | − | 0.690901i | ||||
\(405\) | −0.0108540 | − | 0.0135542i | −0.000539341 | − | 0.000673515i | ||||
\(406\) | −11.7251 | + | 21.3861i | −0.581908 | + | 1.06137i | ||||
\(407\) | 7.90501 | − | 4.56396i | 0.391837 | − | 0.226227i | ||||
\(408\) | −11.7269 | − | 18.6423i | −0.580568 | − | 0.922933i | ||||
\(409\) | 4.99900 | + | 2.88618i | 0.247185 | + | 0.142712i | 0.618475 | − | 0.785805i | \(-0.287751\pi\) |
−0.371290 | + | 0.928517i | \(0.621084\pi\) | |||||||
\(410\) | −0.00645053 | − | 0.00372422i | −0.000318569 | − | 0.000183926i | ||||
\(411\) | 5.67760 | + | 9.02572i | 0.280055 | + | 0.445206i | ||||
\(412\) | 7.50398 | − | 4.33242i | 0.369694 | − | 0.213443i | ||||
\(413\) | −7.18346 | − | 11.8306i | −0.353475 | − | 0.582146i | ||||
\(414\) | −15.3651 | + | 1.16707i | −0.755152 | + | 0.0573582i | ||||
\(415\) | −0.0100414 | + | 0.0173923i | −0.000492915 | + | 0.000853753i | ||||
\(416\) | −11.6316 | + | 11.7052i | −0.570284 | + | 0.573894i | ||||
\(417\) | −21.3179 | + | 0.808446i | −1.04394 | + | 0.0395898i | ||||
\(418\) | 12.2418 | − | 7.06781i | 0.598766 | − | 0.345698i | ||||
\(419\) | −17.6169 | + | 30.5134i | −0.860644 | + | 1.49068i | 0.0106648 | + | 0.999943i | \(0.496605\pi\) |
−0.871309 | + | 0.490736i | \(0.836728\pi\) | |||||||
\(420\) | 0.00702177 | + | 0.00351048i | 0.000342627 | + | 0.000171294i | ||||
\(421\) | 27.0300 | 1.31736 | 0.658682 | − | 0.752421i | \(-0.271114\pi\) | ||||
0.658682 | + | 0.752421i | \(0.271114\pi\) | |||||||
\(422\) | − | 8.23926i | − | 0.401081i | ||||||
\(423\) | 10.7205 | − | 0.814285i | 0.521249 | − | 0.0395919i | ||||
\(424\) | 21.7563 | + | 37.6830i | 1.05658 | + | 1.83005i | ||||
\(425\) | −20.8762 | −1.01264 | ||||||||
\(426\) | −2.21465 | + | 1.39312i | −0.107300 | + | 0.0674968i | ||||
\(427\) | 17.5834 | + | 9.64027i | 0.850920 | + | 0.466526i | ||||
\(428\) | − | 4.85032i | − | 0.234449i | ||||||
\(429\) | 11.4693 | + | 10.5641i | 0.553742 | + | 0.510038i | ||||
\(430\) | 0.00468495 | − | 0.00270486i | 0.000225928 | − | 0.000130440i | ||||
\(431\) | − | 31.3272i | − | 1.50898i | −0.656312 | − | 0.754490i | \(-0.727884\pi\) | ||
0.656312 | − | 0.754490i | \(-0.272116\pi\) | |||||||
\(432\) | 5.99633 | − | 4.43955i | 0.288499 | − | 0.213598i | ||||
\(433\) | −3.41909 | + | 1.97401i | −0.164311 | + | 0.0948649i | −0.579900 | − | 0.814687i | \(-0.696909\pi\) |
0.415590 | + | 0.909552i | \(0.363575\pi\) | |||||||
\(434\) | −10.9988 | − | 18.1142i | −0.527960 | − | 0.869511i | ||||
\(435\) | 0.0291909 | − | 0.00110702i | 0.00139960 | − | 5.30774e-5i | ||||
\(436\) | 6.54440 | 0.313420 | ||||||||
\(437\) | 13.0738 | + | 22.6445i | 0.625404 | + | 1.08323i | ||||
\(438\) | 2.87550 | − | 1.80883i | 0.137397 | − | 0.0864290i | ||||
\(439\) | 26.7313 | − | 15.4333i | 1.27582 | − | 0.736593i | 0.299739 | − | 0.954021i | \(-0.403100\pi\) |
0.976076 | + | 0.217429i | \(0.0697669\pi\) | |||||||
\(440\) | −0.00733575 | + | 0.0127059i | −0.000349718 | + | 0.000605729i | ||||
\(441\) | 8.24744 | − | 19.3127i | 0.392735 | − | 0.919652i | ||||
\(442\) | 15.3474 | + | 4.06047i | 0.730001 | + | 0.193137i | ||||
\(443\) | −16.2769 | − | 9.39748i | −0.773340 | − | 0.446488i | 0.0607250 | − | 0.998155i | \(-0.480659\pi\) |
−0.834065 | + | 0.551667i | \(0.813992\pi\) | |||||||
\(444\) | −4.97186 | − | 2.62449i | −0.235954 | − | 0.124553i | ||||
\(445\) | −0.0104261 | −0.000494242 | ||||||||
\(446\) | 7.90084 | 0.374116 | ||||||||
\(447\) | 5.79067 | − | 10.9699i | 0.273889 | − | 0.518858i | ||||
\(448\) | −9.79160 | + | 17.8594i | −0.462610 | + | 0.843778i | ||||
\(449\) | −4.95835 | + | 2.86270i | −0.233999 | + | 0.135099i | −0.612415 | − | 0.790536i | \(-0.709802\pi\) |
0.378417 | + | 0.925635i | \(0.376469\pi\) | |||||||
\(450\) | −1.19805 | − | 15.7730i | −0.0564768 | − | 0.743547i | ||||
\(451\) | 7.91591 | + | 4.57025i | 0.372745 | + | 0.215205i | ||||
\(452\) | − | 0.400551i | − | 0.0188403i | ||||||
\(453\) | 1.06974 | + | 28.2080i | 0.0502608 | + | 1.32533i | ||||
\(454\) | 9.00741i | 0.422739i | ||||||||
\(455\) | −0.0176522 | + | 0.00521091i | −0.000827547 | + | 0.000244291i | ||||
\(456\) | −25.0428 | − | 13.2193i | −1.17273 | − | 0.619051i | ||||
\(457\) | −16.9493 | − | 29.3570i | −0.792854 | − | 1.37326i | −0.924193 | − | 0.381926i | \(-0.875261\pi\) |
0.131339 | − | 0.991337i | \(-0.458072\pi\) | |||||||
\(458\) | −10.8625 | −0.507573 | ||||||||
\(459\) | 19.8981 | + | 8.64557i | 0.928764 | + | 0.403541i | ||||
\(460\) | −0.00722605 | − | 0.00417196i | −0.000336917 | − | 0.000194519i | ||||
\(461\) | 9.37925 | + | 16.2453i | 0.436835 | + | 0.756621i | 0.997443 | − | 0.0714602i | \(-0.0227659\pi\) |
−0.560608 | + | 0.828081i | \(0.689433\pi\) | |||||||
\(462\) | 10.7929 | + | 5.39581i | 0.502130 | + | 0.251036i | ||||
\(463\) | −20.1902 | −0.938317 | −0.469158 | − | 0.883114i | \(-0.655443\pi\) | ||||
−0.469158 | + | 0.883114i | \(0.655443\pi\) | |||||||
\(464\) | 12.5513i | 0.582681i | ||||||||
\(465\) | −0.0118490 | + | 0.0224468i | −0.000549484 | + | 0.00104095i | ||||
\(466\) | −1.33582 | −0.0618806 | ||||||||
\(467\) | −3.57259 | + | 6.18791i | −0.165320 | + | 0.286342i | −0.936769 | − | 0.349949i | \(-0.886199\pi\) |
0.771449 | + | 0.636291i | \(0.219532\pi\) | |||||||
\(468\) | 1.74618 | − | 9.44396i | 0.0807172 | − | 0.436547i | ||||
\(469\) | 18.1305 | − | 33.0692i | 0.837190 | − | 1.52699i | ||||
\(470\) | −0.00631492 | − | 0.00364592i | −0.000291285 | − | 0.000168174i | ||||
\(471\) | −8.14841 | + | 0.309015i | −0.375459 | + | 0.0142386i | ||||
\(472\) | −13.7973 | − | 7.96588i | −0.635073 | − | 0.366659i | ||||
\(473\) | −5.74924 | + | 3.31932i | −0.264350 | + | 0.152623i | ||||
\(474\) | 6.21572 | − | 11.7751i | 0.285498 | − | 0.540849i | ||||
\(475\) | −23.2457 | + | 13.4209i | −1.06659 | + | 0.615794i | ||||
\(476\) | −9.80584 | + | 0.216669i | −0.449450 | + | 0.00993102i | ||||
\(477\) | −38.6369 | − | 18.5585i | −1.76906 | − | 0.849735i | ||||
\(478\) | 9.93393 | + | 17.2061i | 0.454367 | + | 0.786987i | ||||
\(479\) | 9.23925 | 0.422152 | 0.211076 | − | 0.977470i | \(-0.432303\pi\) | ||||
0.211076 | + | 0.977470i | \(0.432303\pi\) | |||||||
\(480\) | 0.0152836 | 0.000579604i | 0.000697597 | 2.64552e-5i | ||||||
\(481\) | 12.7209 | − | 3.45161i | 0.580024 | − | 0.157380i | ||||
\(482\) | 1.29007 | 0.0587612 | ||||||||
\(483\) | −9.98099 | + | 19.9643i | −0.454151 | + | 0.908406i | ||||
\(484\) | −2.11565 | + | 3.66441i | −0.0961658 | + | 0.166564i | ||||
\(485\) | − | 0.00461203i | − | 0.000209422i | ||||||
\(486\) | −5.39026 | + | 15.5302i | −0.244507 | + | 0.704464i | ||||
\(487\) | −0.650774 | + | 1.12717i | −0.0294894 | + | 0.0510771i | −0.880393 | − | 0.474244i | \(-0.842721\pi\) |
0.850904 | + | 0.525321i | \(0.176055\pi\) | |||||||
\(488\) | 23.0822 | 1.04488 | ||||||||
\(489\) | 6.44299 | + | 3.40106i | 0.291362 | + | 0.153801i | ||||
\(490\) | −0.0120079 | + | 0.00765922i | −0.000542464 | + | 0.000346008i | ||||
\(491\) | −11.4486 | − | 6.60986i | −0.516668 | − | 0.298299i | 0.218902 | − | 0.975747i | \(-0.429752\pi\) |
−0.735570 | + | 0.677448i | \(0.763086\pi\) | |||||||
\(492\) | −0.213347 | − | 5.62575i | −0.00961842 | − | 0.253628i | ||||
\(493\) | −31.6075 | + | 18.2486i | −1.42353 | + | 0.821876i | ||||
\(494\) | 19.6998 | − | 5.34521i | 0.886335 | − | 0.240492i | ||||
\(495\) | −0.00109459 | − | 0.0144109i | −4.91984e−5 | − | 0.000647723i | ||||
\(496\) | −9.44476 | − | 5.45294i | −0.424082 | − | 0.244844i | ||||
\(497\) | 0.0837188 | + | 3.78888i | 0.00375530 | + | 0.169954i | ||||
\(498\) | 18.9988 | − | 0.720498i | 0.851358 | − | 0.0322863i | ||||
\(499\) | 3.18217 | − | 5.51168i | 0.142454 | − | 0.246737i | −0.785966 | − | 0.618269i | \(-0.787834\pi\) |
0.928420 | + | 0.371532i | \(0.121168\pi\) | |||||||
\(500\) | 0.00856547 | − | 0.0148358i | 0.000383060 | − | 0.000663479i | ||||
\(501\) | −21.2583 | + | 13.3725i | −0.949751 | + | 0.597438i | ||||
\(502\) | −8.07847 | − | 4.66411i | −0.360560 | − | 0.208169i | ||||
\(503\) | −17.7261 | − | 30.7026i | −0.790370 | − | 1.36896i | −0.925738 | − | 0.378165i | \(-0.876555\pi\) |
0.135369 | − | 0.990795i | \(-0.456778\pi\) | |||||||
\(504\) | −2.36279 | − | 24.0569i | −0.105247 | − | 1.07158i | ||||
\(505\) | 0.0174223 | − | 0.0301764i | 0.000775283 | − | 0.00134283i | ||||
\(506\) | −11.1069 | − | 6.41256i | −0.493761 | − | 0.285073i | ||||
\(507\) | 12.1092 | + | 18.9833i | 0.537790 | + | 0.843079i | ||||
\(508\) | −4.19018 | − | 7.25761i | −0.185909 | − | 0.322004i | ||||
\(509\) | 7.82495 | + | 13.5532i | 0.346835 | + | 0.600736i | 0.985685 | − | 0.168595i | \(-0.0539231\pi\) |
−0.638850 | + | 0.769331i | \(0.720590\pi\) | |||||||
\(510\) | −0.00783470 | − | 0.0124549i | −0.000346926 | − | 0.000551512i | ||||
\(511\) | −0.108700 | − | 4.91948i | −0.00480862 | − | 0.217625i | ||||
\(512\) | 15.3173i | 0.676934i | ||||||||
\(513\) | 27.7147 | − | 3.16524i | 1.22363 | − | 0.139749i | ||||
\(514\) | 9.99480 | + | 5.77050i | 0.440852 | + | 0.254526i | ||||
\(515\) | 0.0163062 | − | 0.00941436i | 0.000718535 | − | 0.000414846i | ||||
\(516\) | 3.61599 | + | 1.90877i | 0.159185 | + | 0.0840288i | ||||
\(517\) | 7.74949 | + | 4.47417i | 0.340822 | + | 0.196774i | ||||
\(518\) | 8.71853 | − | 5.29382i | 0.383070 | − | 0.232597i | ||||
\(519\) | 24.0433 | + | 12.6917i | 1.05538 | + | 0.557105i | ||||
\(520\) | −0.0149334 | + | 0.0150279i | −0.000654871 | + | 0.000659016i | ||||
\(521\) | 19.1120 | + | 33.1029i | 0.837310 | + | 1.45026i | 0.892136 | + | 0.451767i | \(0.149206\pi\) |
−0.0548261 | + | 0.998496i | \(0.517460\pi\) | |||||||
\(522\) | −15.6017 | − | 22.8338i | −0.682867 | − | 0.999410i | ||||
\(523\) | −26.5888 | + | 15.3510i | −1.16265 | + | 0.671254i | −0.951937 | − | 0.306295i | \(-0.900911\pi\) |
−0.210709 | + | 0.977549i | \(0.567577\pi\) | |||||||
\(524\) | −2.76224 | − | 4.78434i | −0.120669 | − | 0.209005i | ||||
\(525\) | −20.4944 | − | 10.2460i | −0.894447 | − | 0.447172i | ||||
\(526\) | 6.70414 | + | 11.6119i | 0.292314 | + | 0.506303i | ||||
\(527\) | − | 31.7125i | − | 1.38142i | ||||||
\(528\) | 6.20525 | − | 0.235324i | 0.270049 | − | 0.0102411i | ||||
\(529\) | 0.361731 | − | 0.626536i | 0.0157274 | − | 0.0272407i | ||||
\(530\) | 0.0145353 | + | 0.0251759i | 0.000631374 | + | 0.00109357i | ||||
\(531\) | 15.6488 | − | 1.18862i | 0.679101 | − | 0.0515817i | ||||
\(532\) | −10.7796 | + | 6.54526i | −0.467353 | + | 0.283773i | ||||
\(533\) | 9.36253 | + | 9.30364i | 0.405536 | + | 0.402985i | ||||
\(534\) | 5.25557 | + | 8.35482i | 0.227431 | + | 0.361548i | ||||
\(535\) | − | 0.0105397i | − | 0.000455673i | ||||||
\(536\) | − | 43.4109i | − | 1.87507i | ||||||
\(537\) | 5.22702 | − | 9.90212i | 0.225563 | − | 0.427308i | ||||
\(538\) | 24.4223i | 1.05292i | ||||||||
\(539\) | 14.7358 | − | 9.39917i | 0.634716 | − | 0.404851i | ||||
\(540\) | −0.00715411 | + | 0.00529674i | −0.000307864 | + | 0.000227936i | ||||
\(541\) | 4.56917 | − | 7.91403i | 0.196444 | − | 0.340251i | −0.750929 | − | 0.660383i | \(-0.770394\pi\) |
0.947373 | + | 0.320132i | \(0.103727\pi\) | |||||||
\(542\) | 13.8915 | − | 24.0607i | 0.596690 | − | 1.03350i | ||||
\(543\) | −0.759535 | + | 1.43887i | −0.0325948 | + | 0.0617478i | ||||
\(544\) | −16.5488 | + | 9.55448i | −0.709525 | + | 0.409645i | ||||
\(545\) | 0.0142210 | 0.000609160 | ||||||||
\(546\) | 13.0738 | + | 11.5187i | 0.559508 | + | 0.492954i | ||||
\(547\) | −35.4176 | −1.51435 | −0.757173 | − | 0.653214i | \(-0.773420\pi\) | ||||
−0.757173 | + | 0.653214i | \(0.773420\pi\) | |||||||
\(548\) | 4.73379 | − | 2.73305i | 0.202217 | − | 0.116750i | ||||
\(549\) | −18.7738 | + | 12.8275i | −0.801244 | + | 0.547466i | ||||
\(550\) | 6.58282 | − | 11.4018i | 0.280692 | − | 0.486174i | ||||
\(551\) | −23.4634 | + | 40.6398i | −0.999574 | + | 1.73131i | ||||
\(552\) | 0.973639 | + | 25.6739i | 0.0414408 | + | 1.09275i | ||||
\(553\) | −10.0099 | − | 16.4856i | −0.425665 | − | 0.701038i | ||||
\(554\) | 4.64484i | 0.197340i | ||||||||
\(555\) | −0.0108039 | − | 0.00570302i | −0.000458598 | − | 0.000242080i | ||||
\(556\) | 10.9360i | 0.463788i | ||||||||
\(557\) | − | 4.53358i | − | 0.192094i | −0.995377 | − | 0.0960470i | \(-0.969380\pi\) | ||
0.995377 | − | 0.0960470i | \(-0.0306199\pi\) | |||||||
\(558\) | 23.9604 | − | 1.81993i | 1.01432 | − | 0.0770439i | ||||
\(559\) | −9.25180 | + | 2.51032i | −0.391310 | + | 0.106175i | ||||
\(560\) | −0.00352369 | + | 0.00642705i | −0.000148903 | + | 0.000271592i | ||||
\(561\) | 9.61452 | + | 15.2843i | 0.405925 | + | 0.645303i | ||||
\(562\) | 7.00820 | + | 12.1386i | 0.295623 | + | 0.512034i | ||||
\(563\) | 6.06622 | − | 10.5070i | 0.255661 | − | 0.442817i | −0.709414 | − | 0.704792i | \(-0.751040\pi\) |
0.965075 | + | 0.261975i | \(0.0843737\pi\) | |||||||
\(564\) | −0.208862 | − | 5.50747i | −0.00879466 | − | 0.231906i | ||||
\(565\) | 0 | 0.000870398i | 0 | 3.66179e-5i | ||||||
\(566\) | 8.63613 | + | 14.9582i | 0.363004 | + | 0.628741i | ||||
\(567\) | 15.2909 | + | 18.2534i | 0.642159 | + | 0.766571i | ||||
\(568\) | 2.18118 | + | 3.77792i | 0.0915204 | + | 0.158518i | ||||
\(569\) | 31.4844 | − | 18.1775i | 1.31990 | − | 0.762042i | 0.336184 | − | 0.941796i | \(-0.390864\pi\) |
0.983712 | + | 0.179754i | \(0.0575303\pi\) | |||||||
\(570\) | −0.0167310 | − | 0.00883178i | −0.000700784 | − | 0.000369923i | ||||
\(571\) | 7.04698 | + | 12.2057i | 0.294907 | + | 0.510794i | 0.974963 | − | 0.222366i | \(-0.0713780\pi\) |
−0.680056 | + | 0.733160i | \(0.738045\pi\) | |||||||
\(572\) | 5.63433 | − | 5.66999i | 0.235583 | − | 0.237074i | ||||
\(573\) | 4.34960 | − | 8.23991i | 0.181707 | − | 0.344227i | ||||
\(574\) | 8.95618 | + | 4.91032i | 0.373824 | + | 0.204953i | ||||
\(575\) | 21.0906 | + | 12.1767i | 0.879540 | + | 0.507802i | ||||
\(576\) | −13.0289 | − | 19.0684i | −0.542871 | − | 0.794519i | ||||
\(577\) | 11.4758 | − | 6.62558i | 0.477745 | − | 0.275826i | −0.241731 | − | 0.970343i | \(-0.577715\pi\) |
0.719476 | + | 0.694517i | \(0.244382\pi\) | |||||||
\(578\) | 0.395085 | + | 0.228102i | 0.0164334 | + | 0.00948780i | ||||
\(579\) | −32.3849 | − | 17.0950i | −1.34587 | − | 0.710445i | ||||
\(580\) | − | 0.0149748i | − | 0.000621793i | ||||||
\(581\) | 13.2395 | − | 24.1482i | 0.549266 | − | 1.00183i | ||||
\(582\) | −3.69581 | + | 2.32483i | −0.153196 | + | 0.0963675i | ||||
\(583\) | −17.8373 | − | 30.8951i | −0.738746 | − | 1.27955i | ||||
\(584\) | −2.83205 | − | 4.90525i | −0.117191 | − | 0.202981i | ||||
\(585\) | 0.00379445 | − | 0.0205217i | 0.000156881 | − | 0.000848469i | ||||
\(586\) | 18.1984 | + | 10.5069i | 0.751771 | + | 0.434035i | ||||
\(587\) | 15.6011 | − | 27.0220i | 0.643928 | − | 1.11532i | −0.340620 | − | 0.940201i | \(-0.610637\pi\) |
0.984548 | − | 0.175115i | \(-0.0560296\pi\) | |||||||
\(588\) | −9.73284 | − | 4.59999i | −0.401376 | − | 0.189700i | ||||
\(589\) | −20.3874 | − | 35.3120i | −0.840047 | − | 1.45500i | ||||
\(590\) | −0.00921795 | − | 0.00532198i | −0.000379497 | − | 0.000219103i | ||||
\(591\) | −23.8912 | − | 37.9800i | −0.982753 | − | 1.56229i | ||||
\(592\) | 2.62455 | − | 4.54585i | 0.107868 | − | 0.186833i | ||||
\(593\) | 5.48292 | − | 9.49670i | 0.225157 | − | 0.389983i | −0.731210 | − | 0.682153i | \(-0.761044\pi\) |
0.956366 | + | 0.292170i | \(0.0943773\pi\) | |||||||
\(594\) | −10.9963 | + | 8.14141i | −0.451184 | + | 0.334046i | ||||
\(595\) | −0.0213081 | 0.000470823i | −0.000873547 | 1.93018e-5i | ||||||
\(596\) | −5.50691 | − | 3.17942i | −0.225572 | − | 0.130234i | ||||
\(597\) | −2.55295 | − | 4.05845i | −0.104485 | − | 0.166101i | ||||
\(598\) | −13.1367 | − | 13.0540i | −0.537198 | − | 0.533819i | ||||
\(599\) | −12.1466 | + | 7.01285i | −0.496297 | + | 0.286537i | −0.727183 | − | 0.686444i | \(-0.759171\pi\) |
0.230886 | + | 0.972981i | \(0.425838\pi\) | |||||||
\(600\) | −26.3556 | + | 0.999491i | −1.07596 | + | 0.0408040i | ||||
\(601\) | 3.15684 | + | 1.82260i | 0.128770 | + | 0.0743455i | 0.563001 | − | 0.826456i | \(-0.309647\pi\) |
−0.434231 | + | 0.900801i | \(0.642980\pi\) | |||||||
\(602\) | −6.34091 | + | 3.85015i | −0.258436 | + | 0.156920i | ||||
\(603\) | 24.1248 | + | 35.3079i | 0.982439 | + | 1.43785i | ||||
\(604\) | 14.4705 | 0.588798 | ||||||||
\(605\) | −0.00459731 | + | 0.00796277i | −0.000186907 | + | 0.000323733i | ||||
\(606\) | −32.9638 | + | 1.25010i | −1.33906 | + | 0.0507817i | ||||
\(607\) | 17.2352i | 0.699557i | 0.936833 | + | 0.349778i | \(0.113743\pi\) | ||||
−0.936833 | + | 0.349778i | \(0.886257\pi\) | |||||||
\(608\) | −12.2848 | + | 21.2779i | −0.498214 | + | 0.862933i | ||||
\(609\) | −39.9858 | + | 2.40193i | −1.62031 | + | 0.0973311i | ||||
\(610\) | 0.0154212 | 0.000624386 | ||||||||
\(611\) | 9.16570 | + | 9.10805i | 0.370805 | + | 0.368472i | ||||
\(612\) | 4.81531 | − | 10.0250i | 0.194647 | − | 0.405236i | ||||
\(613\) | −30.5124 | −1.23239 | −0.616193 | − | 0.787596i | \(-0.711326\pi\) | ||||
−0.616193 | + | 0.787596i | \(0.711326\pi\) | |||||||
\(614\) | −2.60117 | − | 4.50536i | −0.104975 | − | 0.181821i | ||||
\(615\) | −0.000463603 | − | 0.0122248i | −1.86943e−5 | − | 0.000492950i | ||||
\(616\) | 9.67207 | − | 17.6414i | 0.389699 | − | 0.710791i | ||||
\(617\) | 5.82452 | − | 3.36279i | 0.234486 | − | 0.135381i | −0.378154 | − | 0.925743i | \(-0.623441\pi\) |
0.612640 | + | 0.790362i | \(0.290108\pi\) | |||||||
\(618\) | −15.7637 | − | 8.32118i | −0.634110 | − | 0.334727i | ||||
\(619\) | 8.43263 | − | 4.86858i | 0.338936 | − | 0.195685i | −0.320865 | − | 0.947125i | \(-0.603974\pi\) |
0.659801 | + | 0.751440i | \(0.270640\pi\) | |||||||
\(620\) | 0.0112684 | + | 0.00650580i | 0.000452549 | + | 0.000261279i | ||||
\(621\) | −15.0597 | − | 20.3406i | −0.604325 | − | 0.816239i | ||||
\(622\) | −12.2236 | − | 7.05729i | −0.490121 | − | 0.282971i | ||||
\(623\) | 14.2936 | − | 0.315831i | 0.572662 | − | 0.0126535i | ||||
\(624\) | 8.74936 | + | 1.96332i | 0.350255 | + | 0.0785957i | ||||
\(625\) | −12.5000 | + | 21.6506i | −0.499999 | + | 0.866023i | ||||
\(626\) | −29.1761 | −1.16611 | ||||||||
\(627\) | 20.5318 | + | 10.8381i | 0.819961 | + | 0.432832i | ||||
\(628\) | 4.18009i | 0.166804i | ||||||||
\(629\) | 15.2635 | 0.608595 | ||||||||
\(630\) | −0.00157857 | − | 0.0160724i | −6.28918e−5 | − | 0.000640338i | ||||
\(631\) | −1.16211 | − | 2.01284i | −0.0462630 | − | 0.0801299i | 0.841967 | − | 0.539530i | \(-0.181398\pi\) |
−0.888230 | + | 0.459400i | \(0.848065\pi\) | |||||||
\(632\) | −19.2261 | − | 11.1002i | −0.764774 | − | 0.441543i | ||||
\(633\) | 11.4546 | − | 7.20547i | 0.455279 | − | 0.286392i | ||||
\(634\) | −15.6334 | −0.620880 | ||||||||
\(635\) | −0.00910527 | − | 0.0157708i | −0.000361332 | − | 0.000625845i | ||||
\(636\) | −10.2573 | + | 19.4315i | −0.406728 | + | 0.770510i | ||||
\(637\) | 24.0424 | − | 7.67863i | 0.952596 | − | 0.304239i | ||||
\(638\) | − | 23.0171i | − | 0.911256i | ||||||
\(639\) | −3.87355 | − | 1.86059i | −0.153235 | − | 0.0736036i | ||||
\(640\) | − | 0.00199739i | − | 7.89536e-5i | ||||||
\(641\) | 9.55907 | + | 5.51893i | 0.377561 | + | 0.217985i | 0.676756 | − | 0.736207i | \(-0.263385\pi\) |
−0.299196 | + | 0.954192i | \(0.596718\pi\) | |||||||
\(642\) | −8.44592 | + | 5.31288i | −0.333334 | + | 0.209683i | ||||
\(643\) | 2.75926 | − | 1.59306i | 0.108815 | − | 0.0628241i | −0.444605 | − | 0.895727i | \(-0.646656\pi\) |
0.553420 | + | 0.832903i | \(0.313323\pi\) | |||||||
\(644\) | 10.0330 | + | 5.50067i | 0.395354 | + | 0.216757i | ||||
\(645\) | 0.00785754 | + | 0.00414775i | 0.000309390 | + | 0.000163318i | ||||
\(646\) | 23.6372 | 0.929995 | ||||||||
\(647\) | 39.9534 | 1.57073 | 0.785365 | − | 0.619033i | \(-0.212475\pi\) | ||||
0.785365 | + | 0.619033i | \(0.212475\pi\) | |||||||
\(648\) | 25.5347 | + | 9.96213i | 1.00310 | + | 0.391350i | ||||
\(649\) | 11.3120 | + | 6.53099i | 0.444035 | + | 0.256364i | ||||
\(650\) | 13.4006 | − | 13.4854i | 0.525616 | − | 0.528943i | ||||
\(651\) | 15.5644 | − | 31.1325i | 0.610018 | − | 1.22018i | ||||
\(652\) | 1.86738 | − | 3.23440i | 0.0731323 | − | 0.126669i | ||||
\(653\) | −13.7639 | + | 7.94656i | −0.538621 | + | 0.310973i | −0.744520 | − | 0.667600i | \(-0.767322\pi\) |
0.205899 | + | 0.978573i | \(0.433988\pi\) | |||||||
\(654\) | −7.16852 | − | 11.3958i | −0.280311 | − | 0.445613i | ||||
\(655\) | −0.00600235 | − | 0.0103964i | −0.000234531 | − | 0.000406220i | ||||
\(656\) | 5.25633 | 0.205225 | ||||||||
\(657\) | 5.02942 | + | 2.41578i | 0.196216 | + | 0.0942487i | ||||
\(658\) | 8.76789 | + | 4.80709i | 0.341808 | + | 0.187400i | ||||
\(659\) | −43.5079 | + | 25.1193i | −1.69483 | + | 0.978510i | −0.744315 | + | 0.667829i | \(0.767224\pi\) |
−0.950514 | + | 0.310681i | \(0.899443\pi\) | |||||||
\(660\) | −0.00740337 | 0.000280760i | −0.000288176 | 1.09286e-5i | ||||||
\(661\) | − | 50.3595i | − | 1.95876i | −0.202032 | − | 0.979379i | \(-0.564754\pi\) | ||
0.202032 | − | 0.979379i | \(-0.435246\pi\) | |||||||
\(662\) | −5.30506 | + | 3.06288i | −0.206187 | + | 0.119042i | ||||
\(663\) | 7.77669 | + | 24.8876i | 0.302022 | + | 0.966556i | ||||
\(664\) | − | 31.7000i | − | 1.23020i | ||||||
\(665\) | −0.0234240 | + | 0.0142229i | −0.000908343 | + | 0.000551539i | ||||
\(666\) | 0.875949 | + | 11.5323i | 0.0339423 | + | 0.446869i | ||||
\(667\) | 42.5763 | 1.64856 | ||||||||
\(668\) | 6.43717 | + | 11.1495i | 0.249062 | + | 0.431387i | ||||
\(669\) | 6.90952 | + | 10.9841i | 0.267137 | + | 0.424670i | ||||
\(670\) | − | 0.0290027i | − | 0.00112047i | ||||||
\(671\) | −18.9244 | −0.730570 | ||||||||
\(672\) | −20.9355 | + | 1.25759i | −0.807604 | + | 0.0485124i | ||||
\(673\) | 18.1511 | − | 31.4387i | 0.699674 | − | 1.21187i | −0.268905 | − | 0.963167i | \(-0.586662\pi\) |
0.968579 | − | 0.248704i | \(-0.0800048\pi\) | |||||||
\(674\) | 8.72657 | − | 5.03829i | 0.336135 | − | 0.194068i | ||||
\(675\) | 20.8806 | − | 15.4596i | 0.803696 | − | 0.595039i | ||||
\(676\) | 9.95958 | − | 5.83427i | 0.383061 | − | 0.224395i | ||||
\(677\) | 18.7369 | − | 32.4533i | 0.720119 | − | 1.24728i | −0.240833 | − | 0.970567i | \(-0.577421\pi\) |
0.960952 | − | 0.276716i | \(-0.0892460\pi\) | |||||||
\(678\) | −0.697485 | + | 0.438750i | −0.0267867 | + | 0.0168501i | ||||
\(679\) | 0.139710 | + | 6.32287i | 0.00536157 | + | 0.242650i | ||||
\(680\) | −0.0212465 | + | 0.0122667i | −0.000814765 | + | 0.000470405i | ||||
\(681\) | −12.5225 | + | 7.87724i | −0.479864 | + | 0.301857i | ||||
\(682\) | 17.3202 | + | 9.99980i | 0.663223 | + | 0.382912i | ||||
\(683\) | −32.7411 | − | 18.9031i | −1.25281 | − | 0.723307i | −0.281140 | − | 0.959667i | \(-0.590712\pi\) |
−0.971666 | + | 0.236359i | \(0.924046\pi\) | |||||||
\(684\) | −1.08302 | − | 14.2585i | −0.0414103 | − | 0.545189i | ||||
\(685\) | 0.0102865 | − | 0.00593893i | 0.000393028 | − | 0.000226915i | ||||
\(686\) | 16.2303 | − | 10.8642i | 0.619676 | − | 0.414796i | ||||
\(687\) | −9.49960 | − | 15.1016i | −0.362432 | − | 0.576162i | ||||
\(688\) | −1.90881 | + | 3.30615i | −0.0727726 | + | 0.126046i | ||||
\(689\) | −13.4899 | − | 49.7172i | −0.513925 | − | 1.89407i | ||||
\(690\) | 0.000650486 | 0.0171527i | 2.47636e−5 | 0.000652991i | ||||||
\(691\) | 11.2268 | − | 6.48179i | 0.427087 | − | 0.246579i | −0.271018 | − | 0.962574i | \(-0.587360\pi\) |
0.698105 | + | 0.715995i | \(0.254027\pi\) | |||||||
\(692\) | 6.96851 | − | 12.0698i | 0.264903 | − | 0.458825i | ||||
\(693\) | 1.93718 | + | 19.7235i | 0.0735874 | + | 0.749235i | ||||
\(694\) | −30.7066 | −1.16561 | ||||||||
\(695\) | 0.0237639i | 0.000901415i | ||||||||
\(696\) | −39.0299 | + | 24.5516i | −1.47942 | + | 0.930627i | ||||
\(697\) | 7.64226 | + | 13.2368i | 0.289471 | + | 0.501379i | ||||
\(698\) | −33.0689 | −1.25168 | ||||||||
\(699\) | −1.16821 | − | 1.85712i | −0.0441858 | − | 0.0702425i | ||||
\(700\) | −5.64672 | + | 10.2993i | −0.213426 | + | 0.389279i | ||||
\(701\) | − | 34.9085i | − | 1.31848i | −0.751934 | − | 0.659238i | \(-0.770879\pi\) | ||
0.751934 | − | 0.659238i | \(-0.229121\pi\) | |||||||
\(702\) | −18.3576 | + | 7.30396i | −0.692863 | + | 0.275670i | ||||
\(703\) | 16.9960 | − | 9.81262i | 0.641014 | − | 0.370090i | ||||
\(704\) | − | 19.2215i | − | 0.724438i | ||||||
\(705\) | −0.000453857 | − | 0.0119677i | −1.70932e−5 | − | 0.000450731i | ||||
\(706\) | 1.45710 | − | 0.841257i | 0.0548387 | − | 0.0316611i | ||||
\(707\) | −22.9711 | + | 41.8981i | −0.863915 | + | 1.57574i | ||||
\(708\) | −0.304877 | − | 8.03931i | −0.0114580 | − | 0.302136i | ||||
\(709\) | 36.5640 | 1.37319 | 0.686595 | − | 0.727040i | \(-0.259105\pi\) | ||||
0.686595 | + | 0.727040i | \(0.259105\pi\) | |||||||
\(710\) | 0.00145724 | + | 0.00252402i | 5.46893e−5 | + | 9.47247e-5i | ||||
\(711\) | 21.8061 | − | 1.65630i | 0.817794 | − | 0.0621162i | ||||
\(712\) | 14.2523 | − | 8.22855i | 0.534126 | − | 0.308378i | ||||
\(713\) | −18.4973 | + | 32.0382i | −0.692729 | + | 1.19984i | ||||
\(714\) | 11.1183 | + | 16.8377i | 0.416092 | + | 0.630136i | ||||
\(715\) | 0.0122434 | − | 0.0123209i | 0.000457877 | − | 0.000460776i | ||||
\(716\) | −4.97089 | − | 2.86994i | −0.185771 | − | 0.107255i | ||||
\(717\) | −15.2331 | + | 28.8578i | −0.568892 | + | 1.07771i | ||||
\(718\) | −13.6052 | −0.507743 | ||||||||
\(719\) | 39.6806 | 1.47984 | 0.739919 | − | 0.672696i | \(-0.234864\pi\) | ||||
0.739919 | + | 0.672696i | \(0.234864\pi\) | |||||||
\(720\) | −0.00468869 | − | 0.00686214i | −0.000174737 | − | 0.000255737i | ||||
\(721\) | −22.0698 | + | 13.4006i | −0.821921 | + | 0.499064i | ||||
\(722\) | 8.96785 | − | 5.17759i | 0.333749 | − | 0.192690i | ||||
\(723\) | 1.12821 | + | 1.79352i | 0.0419584 | + | 0.0667017i | ||||
\(724\) | 0.722316 | + | 0.417030i | 0.0268447 | + | 0.0154988i | ||||
\(725\) | 43.7067i | 1.62323i | ||||||||
\(726\) | 8.69830 | − | 0.329868i | 0.322824 | − | 0.0122426i | ||||
\(727\) | − | 15.6289i | − | 0.579644i | −0.957081 | − | 0.289822i | \(-0.906404\pi\) | ||
0.957081 | − | 0.289822i | \(-0.0935961\pi\) | |||||||
\(728\) | 20.0177 | − | 21.0549i | 0.741905 | − | 0.780345i | ||||
\(729\) | −26.3047 | + | 6.08783i | −0.974249 | + | 0.225475i | ||||
\(730\) | −0.00189208 | − | 0.00327718i | −7.00291e−5 | − | 0.000121294i | ||||
\(731\) | −11.1010 | −0.410585 | ||||||||
\(732\) | 6.20629 | + | 9.86618i | 0.229391 | + | 0.364665i | ||||
\(733\) | −25.0179 | − | 14.4441i | −0.924055 | − | 0.533504i | −0.0391289 | − | 0.999234i | \(-0.512458\pi\) |
−0.884927 | + | 0.465730i | \(0.845792\pi\) | |||||||
\(734\) | 6.90732 | + | 11.9638i | 0.254954 | + | 0.441593i | ||||
\(735\) | −0.0211495 | − | 0.00999578i | −0.000780110 | − | 0.000368700i | ||||
\(736\) | 22.2918 | 0.821686 | ||||||||
\(737\) | 35.5913i | 1.31102i | ||||||||
\(738\) | −9.56250 | + | 6.53376i | −0.352000 | + | 0.240511i | ||||
\(739\) | 15.1318 | 0.556634 | 0.278317 | − | 0.960489i | \(-0.410223\pi\) | ||||
0.278317 | + | 0.960489i | \(0.410223\pi\) | |||||||
\(740\) | −0.00313130 | + | 0.00542356i | −0.000115109 | + | 0.000199374i | ||||
\(741\) | 24.6592 | + | 22.7130i | 0.905878 | + | 0.834383i | ||||
\(742\) | −20.6899 | − | 34.0746i | −0.759549 | − | 1.25092i | ||||
\(743\) | −30.5018 | − | 17.6102i | −1.11900 | − | 0.646056i | −0.177856 | − | 0.984057i | \(-0.556916\pi\) |
−0.941146 | + | 0.338001i | \(0.890249\pi\) | |||||||
\(744\) | −1.51830 | − | 40.0361i | −0.0556636 | − | 1.46779i | ||||
\(745\) | −0.0119665 | − | 0.00690888i | −0.000438420 | − | 0.000253122i | ||||
\(746\) | −5.60517 | + | 3.23614i | −0.205220 | + | 0.118484i | ||||
\(747\) | 17.6167 | + | 25.7829i | 0.644561 | + | 0.943348i | ||||
\(748\) | 8.01626 | − | 4.62819i | 0.293103 | − | 0.169223i | ||||
\(749\) | 0.319275 | + | 14.4495i | 0.0116660 | + | 0.527973i | ||||
\(750\) | −0.0352162 | + | 0.00133551i | −0.00128591 | + | 4.87661e-5i | ||||
\(751\) | −0.826755 | − | 1.43198i | −0.0301687 | − | 0.0522538i | 0.850547 | − | 0.525899i | \(-0.176271\pi\) |
−0.880716 | + | 0.473646i | \(0.842938\pi\) | |||||||
\(752\) | 5.14582 | 0.187649 | ||||||||
\(753\) | −0.580604 | − | 15.3100i | −0.0211584 | − | 0.557926i | ||||
\(754\) | 8.50107 | − | 32.1316i | 0.309591 | − | 1.17016i | ||||
\(755\) | 0.0314445 | 0.00114438 | ||||||||
\(756\) | 9.64749 | − | 7.47830i | 0.350876 | − | 0.271983i | ||||
\(757\) | −7.44232 | + | 12.8905i | −0.270496 | + | 0.468513i | −0.968989 | − | 0.247104i | \(-0.920521\pi\) |
0.698493 | + | 0.715617i | \(0.253854\pi\) | |||||||
\(758\) | 13.6061i | 0.494194i | ||||||||
\(759\) | −0.798257 | − | 21.0493i | −0.0289749 | − | 0.764040i | ||||
\(760\) | −0.0157720 | + | 0.0273180i | −0.000572112 | + | 0.000990926i | ||||
\(761\) | −8.40012 | −0.304504 | −0.152252 | − | 0.988342i | \(-0.548653\pi\) | ||||
−0.152252 | + | 0.988342i | \(0.548653\pi\) | |||||||
\(762\) | −8.04799 | + | 15.2462i | −0.291548 | + | 0.552311i | ||||
\(763\) | −19.4963 | + | 0.430789i | −0.705813 | + | 0.0155956i | ||||
\(764\) | −4.13646 | − | 2.38818i | −0.149652 | − | 0.0864015i | ||||
\(765\) | 0.0104637 | − | 0.0217843i | 0.000378315 | − | 0.000787614i | ||||
\(766\) | −8.43849 | + | 4.87196i | −0.304895 | + | 0.176031i | ||||
\(767\) | 13.3793 | + | 13.2951i | 0.483097 | + | 0.480058i | ||||
\(768\) | −24.1732 | + | 15.2061i | −0.872277 | + | 0.548703i | ||||
\(769\) | 40.4429 | + | 23.3497i | 1.45841 | + | 0.842013i | 0.998933 | − | 0.0461769i | \(-0.0147038\pi\) |
0.459476 | + | 0.888190i | \(0.348037\pi\) | |||||||
\(770\) | 0.00646188 | − | 0.0117862i | 0.000232870 | − | 0.000424744i | ||||
\(771\) | 0.718332 | + | 18.9417i | 0.0258701 | + | 0.682168i | ||||
\(772\) | −9.38617 | + | 16.2573i | −0.337816 | + | 0.585114i | ||||
\(773\) | −17.3505 | + | 30.0520i | −0.624055 | + | 1.08089i | 0.364668 | + | 0.931138i | \(0.381182\pi\) |
−0.988723 | + | 0.149757i | \(0.952151\pi\) | |||||||
\(774\) | −0.637070 | − | 8.38737i | −0.0228990 | − | 0.301478i | ||||
\(775\) | −32.8889 | − | 18.9884i | −1.18140 | − | 0.682084i | ||||
\(776\) | 3.63995 | + | 6.30458i | 0.130667 | + | 0.226321i | ||||
\(777\) | 14.9843 | + | 7.49129i | 0.537560 | + | 0.268749i | ||||
\(778\) | −6.93262 | + | 12.0076i | −0.248546 | + | 0.430495i | ||||
\(779\) | 17.0194 | + | 9.82614i | 0.609783 | + | 0.352058i | ||||
\(780\) | −0.0104387 | − | 0.00234240i | −0.000373765 | − | 8.38714e-5i | ||||
\(781\) | −1.78829 | − | 3.09740i | −0.0639899 | − | 0.110834i | ||||
\(782\) | −10.7229 | − | 18.5727i | −0.383451 | − | 0.664157i | ||||
\(783\) | 18.1005 | − | 41.6590i | 0.646860 | − | 1.48877i | ||||
\(784\) | 4.63612 | − | 8.91791i | 0.165576 | − | 0.318497i | ||||
\(785\) | 0.00908333i | 0.000324198i | ||||||||
\(786\) | −5.30537 | + | 10.0505i | −0.189236 | + | 0.358491i | ||||
\(787\) | 19.9645 | + | 11.5265i | 0.711657 | + | 0.410875i | 0.811674 | − | 0.584111i | \(-0.198557\pi\) |
−0.100017 | + | 0.994986i | \(0.531890\pi\) | |||||||
\(788\) | −19.9197 | + | 11.5006i | −0.709609 | + | 0.409693i | ||||
\(789\) | −10.2804 | + | 19.4754i | −0.365993 | + | 0.693341i | ||||
\(790\) | −0.0128449 | − | 0.00741602i | −0.000457002 | − | 0.000263850i | ||||
\(791\) | 0.0263665 | + | 1.19327i | 0.000937484 | + | 0.0424279i | ||||
\(792\) | 12.8698 | + | 18.8357i | 0.457310 | + | 0.669296i | ||||
\(793\) | −26.4182 | − | 6.98949i | −0.938140 | − | 0.248204i | ||||
\(794\) | −9.78631 | − | 16.9504i | −0.347303 | − | 0.601547i | ||||
\(795\) | −0.0222891 | + | 0.0422247i | −0.000790514 | + | 0.00149756i | ||||
\(796\) | −2.12856 | + | 1.22893i | −0.0754449 | + | 0.0435581i | ||||
\(797\) | 18.0616 | + | 31.2836i | 0.639774 | + | 1.10812i | 0.985482 | + | 0.169779i | \(0.0543054\pi\) |
−0.345708 | + | 0.938342i | \(0.612361\pi\) | |||||||
\(798\) | 23.2049 | + | 11.6011i | 0.821446 | + | 0.410675i | ||||
\(799\) | 7.48159 | + | 12.9585i | 0.264680 | + | 0.458439i | ||||
\(800\) | 22.8837i | 0.809059i | ||||||||
\(801\) | −7.01910 | + | 14.6131i | −0.248008 | + | 0.516327i | ||||
\(802\) | 6.51361 | − | 11.2819i | 0.230003 | − | 0.398378i | ||||
\(803\) | 2.32191 | + | 4.02166i | 0.0819384 | + | 0.141921i | ||||
\(804\) | 18.5554 | − | 11.6722i | 0.654398 | − | 0.411647i | ||||
\(805\) | 0.0218016 | + | 0.0119530i | 0.000768406 | + | 0.000421286i | ||||
\(806\) | 20.4854 | + | 20.3566i | 0.721568 | + | 0.717029i | ||||
\(807\) | −33.9530 | + | 21.3580i | −1.19520 | + | 0.751837i | ||||
\(808\) | 55.0009i | 1.93492i | ||||||||
\(809\) | 29.7538i | 1.04609i | 0.852306 | + | 0.523044i | \(0.175204\pi\) | ||||
−0.852306 | + | 0.523044i | \(0.824796\pi\) | |||||||
\(810\) | 0.0170597 | + | 0.00665567i | 0.000599416 | + | 0.000233857i | ||||
\(811\) | 17.0021i | 0.597025i | 0.954406 | + | 0.298512i | \(0.0964904\pi\) | ||||
−0.954406 | + | 0.298512i | \(0.903510\pi\) | |||||||
\(812\) | 0.453623 | + | 20.5297i | 0.0159190 | + | 0.720451i | ||||
\(813\) | 45.5988 | − | 1.72926i | 1.59922 | − | 0.0606477i | ||||
\(814\) | −4.81299 | + | 8.33634i | −0.168695 | + | 0.292189i | ||||
\(815\) | 0.00405782 | − | 0.00702835i | 0.000142139 | − | 0.000246192i | ||||
\(816\) | 9.18287 | + | 4.84735i | 0.321465 | + | 0.169691i | ||||
\(817\) | −12.3610 | + | 7.13662i | −0.432456 | + | 0.249679i | ||||
\(818\) | −6.08732 | −0.212838 | ||||||||
\(819\) | −4.58036 | + | 28.2493i | −0.160051 | + | 0.987109i | ||||
\(820\) | −0.00627123 | −0.000219001 | ||||||||
\(821\) | 25.3845 | − | 14.6558i | 0.885926 | − | 0.511490i | 0.0133184 | − | 0.999911i | \(-0.495760\pi\) |
0.872608 | + | 0.488422i | \(0.162427\pi\) | |||||||
\(822\) | −9.94434 | − | 5.24931i | −0.346849 | − | 0.183091i | ||||
\(823\) | 1.08892 | − | 1.88607i | 0.0379575 | − | 0.0657443i | −0.846423 | − | 0.532512i | \(-0.821248\pi\) |
0.884380 | + | 0.466768i | \(0.154582\pi\) | |||||||
\(824\) | −14.8602 | + | 25.7386i | −0.517679 | + | 0.896647i | ||||
\(825\) | 21.6081 | − | 0.819452i | 0.752299 | − | 0.0285297i | ||||
\(826\) | 12.7986 | + | 7.01695i | 0.445319 | + | 0.244151i | ||||
\(827\) | − | 15.2048i | − | 0.528724i | −0.964424 | − | 0.264362i | \(-0.914839\pi\) | ||
0.964424 | − | 0.264362i | \(-0.0851613\pi\) | |||||||
\(828\) | −10.7122 | + | 7.31930i | −0.372273 | + | 0.254363i | ||||
\(829\) | 3.97612i | 0.138097i | 0.997613 | + | 0.0690483i | \(0.0219962\pi\) | ||||
−0.997613 | + | 0.0690483i | \(0.978004\pi\) | |||||||
\(830\) | − | 0.0211787i | − | 0.000735123i | ||||||
\(831\) | −6.45746 | + | 4.06205i | −0.224007 | + | 0.140911i | ||||
\(832\) | 7.09921 | − | 26.8329i | 0.246121 | − | 0.930265i | ||||
\(833\) | 29.1981 | − | 1.29095i | 1.01166 | − | 0.0447288i | ||||
\(834\) | 19.0430 | − | 11.9789i | 0.659404 | − | 0.414796i | ||||
\(835\) | 0.0139880 | + | 0.0242279i | 0.000484074 | + | 0.000838440i | ||||
\(836\) | 5.95076 | − | 10.3070i | 0.205811 | − | 0.356476i | ||||
\(837\) | 23.4842 | + | 31.7193i | 0.811733 | + | 1.09638i | ||||
\(838\) | − | 37.1564i | − | 1.28355i | ||||||
\(839\) | −17.0612 | − | 29.5509i | −0.589019 | − | 1.02021i | −0.994361 | − | 0.106046i | \(-0.966181\pi\) |
0.405342 | − | 0.914165i | \(-0.367152\pi\) | |||||||
\(840\) | −0.0268784 | + | 0.00161457i | −0.000927391 | + | 5.57080e-5i | ||||
\(841\) | 23.7056 | + | 41.0593i | 0.817434 | + | 1.41584i | ||||
\(842\) | −24.6860 | + | 14.2525i | −0.850736 | + | 0.491172i | ||||
\(843\) | −10.7467 | + | 20.3586i | −0.370136 | + | 0.701188i | ||||
\(844\) | −3.46853 | − | 6.00767i | −0.119392 | − | 0.206793i | ||||
\(845\) | 0.0216422 | − | 0.0126779i | 0.000744514 | − | 0.000436132i | ||||
\(846\) | −9.36146 | + | 6.39640i | −0.321854 | + | 0.219913i | ||||
\(847\) | 6.06147 | − | 11.0558i | 0.208275 | − | 0.379883i | ||||
\(848\) | −17.7665 | − | 10.2575i | −0.610105 | − | 0.352244i | ||||
\(849\) | −13.2430 | + | 25.0877i | −0.454500 | + | 0.861009i | ||||
\(850\) | 19.0658 | − | 11.0076i | 0.653951 | − | 0.377559i | ||||
\(851\) | −15.4203 | − | 8.90290i | −0.528600 | − | 0.305187i | ||||
\(852\) | −1.02835 | + | 1.94811i | −0.0352306 | + | 0.0667412i | ||||
\(853\) | − | 56.0005i | − | 1.91742i | −0.284387 | − | 0.958710i | \(-0.591790\pi\) | ||
0.284387 | − | 0.958710i | \(-0.408210\pi\) | |||||||
\(854\) | −21.1417 | + | 0.467146i | −0.723454 | + | 0.0159854i | ||||
\(855\) | −0.00235340 | − | 0.0309838i | −8.04847e−5 | − | 0.00105962i | ||||
\(856\) | 8.31828 | + | 14.4077i | 0.284313 | + | 0.492445i | ||||
\(857\) | 7.20743 | + | 12.4836i | 0.246201 | + | 0.426433i | 0.962469 | − | 0.271393i | \(-0.0874843\pi\) |
−0.716268 | + | 0.697826i | \(0.754151\pi\) | |||||||
\(858\) | −16.0449 | − | 3.60041i | −0.547764 | − | 0.122916i | ||||
\(859\) | 2.32454 | + | 1.34207i | 0.0793121 | + | 0.0457909i | 0.539132 | − | 0.842222i | \(-0.318753\pi\) |
−0.459819 | + | 0.888012i | \(0.652086\pi\) | |||||||
\(860\) | 0.00227736 | − | 0.00394451i | 7.76574e−5 | − | 0.000134507i | ||||
\(861\) | 1.00590 | + | 16.7455i | 0.0342808 | + | 0.570685i | ||||
\(862\) | 16.5183 | + | 28.6105i | 0.562615 | + | 0.974479i | ||||
\(863\) | 25.8619 | + | 14.9314i | 0.880349 | + | 0.508270i | 0.870773 | − | 0.491684i | \(-0.163619\pi\) |
0.00957560 | + | 0.999954i | \(0.496952\pi\) | |||||||
\(864\) | 9.47695 | − | 21.8115i | 0.322412 | − | 0.742043i | ||||
\(865\) | 0.0151426 | − | 0.0262277i | 0.000514863 | − | 0.000891769i | ||||
\(866\) | 2.08172 | − | 3.60565i | 0.0707398 | − | 0.122525i | ||||
\(867\) | 0.0283949 | + | 0.748746i | 0.000964343 | + | 0.0254288i | ||||
\(868\) | −15.6455 | − | 8.57779i | −0.531042 | − | 0.291149i | ||||
\(869\) | 15.7629 | + | 9.10072i | 0.534720 | + | 0.308721i | ||||
\(870\) | −0.0260758 | + | 0.0164029i | −0.000884051 | + | 0.000556109i | ||||
\(871\) | −13.1452 | + | 49.6850i | −0.445407 | + | 1.68351i | ||||
\(872\) | −19.4399 | + | 11.2236i | −0.658318 | + | 0.380080i | ||||
\(873\) | −6.46418 | − | 3.10494i | −0.218779 | − | 0.105086i | ||||
\(874\) | −23.8800 | − | 13.7872i | −0.807755 | − | 0.466357i | ||||
\(875\) | −0.0245407 | + | 0.0447610i | −0.000829626 | + | 0.00151320i | ||||
\(876\) | 1.33521 | − | 2.52943i | 0.0451125 | − | 0.0854614i | ||||
\(877\) | −11.5406 | −0.389700 | −0.194850 | − | 0.980833i | \(-0.562422\pi\) | ||||
−0.194850 | + | 0.980833i | \(0.562422\pi\) | |||||||
\(878\) | −16.2754 | + | 28.1899i | −0.549270 | + | 0.951363i | ||||
\(879\) | 1.30793 | + | 34.4889i | 0.0441154 | + | 1.16328i | ||||
\(880\) | − | 0.00691722i | − | 0.000233180i | ||||||
\(881\) | 3.76362 | − | 6.51878i | 0.126800 | − | 0.219623i | −0.795635 | − | 0.605776i | \(-0.792863\pi\) |
0.922435 | + | 0.386153i | \(0.126196\pi\) | |||||||
\(882\) | 2.65102 | + | 21.9866i | 0.0892644 | + | 0.740328i | ||||
\(883\) | −38.2310 | −1.28658 | −0.643289 | − | 0.765624i | \(-0.722430\pi\) | ||||
−0.643289 | + | 0.765624i | \(0.722430\pi\) | |||||||
\(884\) | 12.8999 | − | 3.50019i | 0.433872 | − | 0.117724i | ||||
\(885\) | −0.000662499 | − | 0.0174694i | −2.22696e−5 | − | 0.000587229i | ||||
\(886\) | 19.8205 | 0.665883 | ||||||||
\(887\) | −14.3116 | − | 24.7885i | −0.480537 | − | 0.832315i | 0.519213 | − | 0.854645i | \(-0.326225\pi\) |
−0.999751 | + | 0.0223297i | \(0.992892\pi\) | |||||||
\(888\) | 19.2697 | − | 0.730771i | 0.646649 | − | 0.0245231i | ||||
\(889\) | 12.9606 | + | 21.3452i | 0.434686 | + | 0.715894i | ||||
\(890\) | 0.00952190 | − | 0.00549747i | 0.000319175 | − | 0.000184276i | ||||
\(891\) | −20.9351 | − | 8.16765i | −0.701354 | − | 0.273627i | ||||
\(892\) | 5.76092 | − | 3.32607i | 0.192890 | − | 0.111365i | ||||
\(893\) | 16.6616 | + | 9.61957i | 0.557558 | + | 0.321906i | ||||
\(894\) | 0.495729 | + | 13.0719i | 0.0165797 | + | 0.437190i | ||||
\(895\) | −0.0108017 | − | 0.00623639i | −0.000361063 | − | 0.000208460i | ||||
\(896\) | 0.0605058 | + | 2.73832i | 0.00202136 | + | 0.0914809i | ||||
\(897\) | 6.65991 | − | 29.6793i | 0.222368 | − | 0.990963i | ||||
\(898\) | 3.01891 | − | 5.22890i | 0.100742 | − | 0.174491i | ||||
\(899\) | −66.3938 | −2.21436 | ||||||||
\(900\) | −7.51363 | − | 10.9966i | −0.250454 | − | 0.366553i | ||||
\(901\) | − | 59.6543i | − | 1.98737i | ||||||
\(902\) | −9.63925 | −0.320952 | ||||||||
\(903\) | −10.8980 | − | 5.44835i | −0.362661 | − | 0.181310i | ||||
\(904\) | 0.686944 | + | 1.18982i | 0.0228474 | + | 0.0395729i | ||||
\(905\) | 0.00156959 | 0.000906206i | 5.21751e−5 | 3.01233e-5i | ||||||
\(906\) | −15.8506 | − | 25.1977i | −0.526599 | − | 0.837139i | ||||
\(907\) | −29.7990 | −0.989460 | −0.494730 | − | 0.869047i | \(-0.664733\pi\) | ||||
−0.494730 | + | 0.869047i | \(0.664733\pi\) | |||||||
\(908\) | 3.79191 | + | 6.56777i | 0.125839 | + | 0.217959i | ||||
\(909\) | −30.5657 | − | 44.7345i | −1.01380 | − | 1.48375i | ||||
\(910\) | 0.0133738 | − | 0.0140667i | 0.000443336 | − | 0.000466306i | ||||
\(911\) | − | 28.3029i | − | 0.937717i | −0.883273 | − | 0.468859i | \(-0.844665\pi\) | ||
0.883273 | − | 0.468859i | \(-0.155335\pi\) | |||||||
\(912\) | 13.3414 | − | 0.505951i | 0.441779 | − | 0.0167537i | ||||
\(913\) | 25.9899i | 0.860139i | ||||||||
\(914\) | 30.9589 | + | 17.8741i | 1.02403 | + | 0.591223i | ||||
\(915\) | 0.0134863 | + | 0.0214392i | 0.000445842 | + | 0.000708759i | ||||
\(916\) | −7.92044 | + | 4.57287i | −0.261699 | + | 0.151092i | ||||
\(917\) | 8.54386 | + | 14.0711i | 0.282143 | + | 0.464669i | ||||
\(918\) | −22.7312 | + | 2.59609i | −0.750241 | + | 0.0856836i | ||||
\(919\) | −49.0844 | −1.61915 | −0.809573 | − | 0.587020i | \(-0.800301\pi\) | ||||
−0.809573 | + | 0.587020i | \(0.800301\pi\) | |||||||
\(920\) | 0.0286196 | 0.000943562 | ||||||||
\(921\) | 3.98876 | − | 7.55633i | 0.131434 | − | 0.248990i | ||||
\(922\) | −17.1318 | − | 9.89103i | −0.564205 | − | 0.325744i | ||||
\(923\) | −1.35244 | − | 4.98441i | −0.0445160 | − | 0.164064i | ||||
\(924\) | 10.1412 | − | 0.609175i | 0.333620 | − | 0.0200404i | ||||
\(925\) | 9.13928 | − | 15.8297i | 0.300498 | − | 0.520477i | ||||
\(926\) | 18.4393 | − | 10.6459i | 0.605952 | − | 0.349847i | ||||
\(927\) | −2.21735 | − | 29.1926i | −0.0728272 | − | 0.958809i | ||||
\(928\) | 20.0034 | + | 34.6469i | 0.656644 | + | 1.13734i | ||||
\(929\) | −20.7889 | −0.682061 | −0.341031 | − | 0.940052i | \(-0.610776\pi\) | ||||
−0.341031 | + | 0.940052i | \(0.610776\pi\) | |||||||
\(930\) | −0.00101437 | − | 0.0267480i | −3.32626e−5 | − | 0.000877102i | ||||
\(931\) | 31.6823 | − | 20.2084i | 1.03835 | − | 0.662305i | ||||
\(932\) | −0.974015 | + | 0.562348i | −0.0319049 | + | 0.0184203i | ||||
\(933\) | −0.878515 | − | 23.1656i | −0.0287613 | − | 0.758407i | ||||
\(934\) | − | 7.53505i | − | 0.246554i | ||||||
\(935\) | 0.0174193 | − | 0.0100571i | 0.000569673 | − | 0.000328901i | ||||
\(936\) | 11.0094 | + | 31.0476i | 0.359854 | + | 1.01482i | ||||
\(937\) | − | 10.5891i | − | 0.345930i | −0.984928 | − | 0.172965i | \(-0.944665\pi\) | ||
0.984928 | − | 0.172965i | \(-0.0553347\pi\) | |||||||
\(938\) | 0.878564 | + | 39.7613i | 0.0286861 | + | 1.29825i | ||||
\(939\) | −25.5153 | − | 40.5619i | −0.832662 | − | 1.32369i | ||||
\(940\) | −0.00613938 | −0.000200245 | ||||||||
\(941\) | −21.4748 | − | 37.1955i | −0.700059 | − | 1.21254i | −0.968445 | − | 0.249227i | \(-0.919824\pi\) |
0.268386 | − | 0.963311i | \(-0.413510\pi\) | |||||||
\(942\) | 7.27884 | − | 4.57873i | 0.237157 | − | 0.149183i | ||||
\(943\) | − | 17.8303i | − | 0.580636i | ||||||
\(944\) | 7.51141 | 0.244475 | ||||||||
\(945\) | 0.0209640 | − | 0.0162503i | 0.000681959 | − | 0.000528624i | ||||
\(946\) | 3.50044 | − | 6.06294i | 0.113809 | − | 0.197123i | ||||
\(947\) | −42.4865 | + | 24.5296i | −1.38063 | + | 0.797104i | −0.992233 | − | 0.124390i | \(-0.960303\pi\) |
−0.388392 | + | 0.921494i | \(0.626969\pi\) | |||||||
\(948\) | −0.424837 | − | 11.2025i | −0.0137981 | − | 0.363841i | ||||
\(949\) | 1.75600 | + | 6.47175i | 0.0570023 | + | 0.210082i | ||||
\(950\) | 14.1532 | − | 24.5141i | 0.459191 | − | 0.795342i | ||||
\(951\) | −13.6718 | − | 21.7342i | −0.443339 | − | 0.704780i | ||||
\(952\) | 28.7563 | − | 17.4606i | 0.931997 | − | 0.565902i | ||||
\(953\) | 28.5078 | − | 16.4590i | 0.923458 | − | 0.533159i | 0.0387215 | − | 0.999250i | \(-0.487671\pi\) |
0.884737 | + | 0.466091i | \(0.154338\pi\) | |||||||
\(954\) | 45.0719 | − | 3.42347i | 1.45926 | − | 0.110839i | ||||
\(955\) | −0.00898853 | − | 0.00518953i | −0.000290862 | − | 0.000167929i | ||||
\(956\) | 14.4867 | + | 8.36390i | 0.468533 | + | 0.270508i | ||||
\(957\) | 31.9994 | − | 20.1291i | 1.03439 | − | 0.650683i | ||||
\(958\) | −8.43802 | + | 4.87169i | −0.272620 | + | 0.157397i | ||||
\(959\) | −13.9224 | + | 8.45359i | −0.449579 | + | 0.272981i | ||||
\(960\) | −0.0217758 | + | 0.0136980i | −0.000702810 | + | 0.000442100i | ||||
\(961\) | 13.3448 | − | 23.1139i | 0.430478 | − | 0.745609i | ||||
\(962\) | −9.79778 | + | 9.85980i | −0.315893 | + | 0.317893i | ||||
\(963\) | −14.7724 | − | 7.09564i | −0.476034 | − | 0.228654i | ||||
\(964\) | 0.940660 | − | 0.543090i | 0.0302966 | − | 0.0174918i | ||||
\(965\) | −0.0203962 | + | 0.0353272i | −0.000656576 | + | 0.00113722i | ||||
\(966\) | −1.41138 | − | 23.4958i | −0.0454104 | − | 0.755964i | ||||
\(967\) | 27.5780 | 0.886848 | 0.443424 | − | 0.896312i | \(-0.353764\pi\) | ||||
0.443424 | + | 0.896312i | \(0.353764\pi\) | |||||||
\(968\) | − | 14.5133i | − | 0.466476i | ||||||
\(969\) | 20.6714 | + | 32.8616i | 0.664063 | + | 1.05567i | ||||
\(970\) | 0.00243184 | + | 0.00421207i | 7.80818e−5 | + | 0.000135242i | ||||
\(971\) | 34.5747 | 1.10956 | 0.554778 | − | 0.831998i | \(-0.312803\pi\) | ||||
0.554778 | + | 0.831998i | \(0.312803\pi\) | |||||||
\(972\) | 2.60753 | + | 13.5930i | 0.0836365 | + | 0.435997i | ||||
\(973\) | −0.719866 | − | 32.5791i | −0.0230779 | − | 1.04444i | ||||
\(974\) | − | 1.37257i | − | 0.0439798i | ||||||
\(975\) | 30.4673 | + | 6.83674i | 0.975735 | + | 0.218951i | ||||
\(976\) | −9.42467 | + | 5.44133i | −0.301676 | + | 0.174173i | ||||
\(977\) | − | 57.8801i | − | 1.85175i | −0.377833 | − | 0.925874i | \(-0.623331\pi\) | ||
0.377833 | − | 0.925874i | \(-0.376669\pi\) | |||||||
\(978\) | −7.67757 | + | 0.291159i | −0.245502 | + | 0.00931024i | ||||
\(979\) | −11.6850 | + | 6.74634i | −0.373454 | + | 0.215614i | ||||
\(980\) | −0.00553127 | + | 0.0106398i | −0.000176690 | + | 0.000339876i | ||||
\(981\) | 9.57395 | − | 19.9320i | 0.305673 | − | 0.636380i | ||||
\(982\) | 13.9410 | 0.444876 | ||||||||
\(983\) | 1.73371 | + | 3.00288i | 0.0552969 | + | 0.0957770i | 0.892349 | − | 0.451347i | \(-0.149056\pi\) |
−0.837052 | + | 0.547123i | \(0.815723\pi\) | |||||||
\(984\) | 10.2819 | + | 16.3452i | 0.327774 | + | 0.521065i | ||||
\(985\) | −0.0432855 | + | 0.0249909i | −0.00137919 | + | 0.000796276i | ||||
\(986\) | 19.2443 | − | 33.3322i | 0.612864 | − | 1.06151i | ||||
\(987\) | 0.984748 | + | 16.3935i | 0.0313449 | + | 0.521810i | ||||
\(988\) | 12.1139 | − | 12.1906i | 0.385396 | − | 0.387835i | ||||
\(989\) | 11.2150 | + | 6.47499i | 0.356617 | + | 0.205893i | ||||
\(990\) | 0.00859830 | + | 0.0125841i | 0.000273272 | + | 0.000399947i | ||||
\(991\) | 8.95038 | 0.284318 | 0.142159 | − | 0.989844i | \(-0.454596\pi\) | ||||
0.142159 | + | 0.989844i | \(0.454596\pi\) | |||||||
\(992\) | −34.7620 | −1.10369 | ||||||||
\(993\) | −8.89757 | − | 4.69676i | −0.282356 | − | 0.149047i | ||||
\(994\) | −2.07427 | − | 3.41616i | −0.0657918 | − | 0.108354i | ||||
\(995\) | −0.00462537 | + | 0.00267046i | −0.000146634 | + | 8.46592e-5i | ||||
\(996\) | 13.5497 | − | 8.52341i | 0.429339 | − | 0.270075i | ||||
\(997\) | 2.82101 | + | 1.62871i | 0.0893424 | + | 0.0515818i | 0.544006 | − | 0.839082i | \(-0.316907\pi\) |
−0.454663 | + | 0.890663i | \(0.650240\pi\) | |||||||
\(998\) | 6.71161i | 0.212452i | ||||||||
\(999\) | −15.2667 | + | 11.3032i | −0.483019 | + | 0.357616i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 273.2.bf.b.152.11 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.152.22 | yes | 64 | |
7.3 | odd | 6 | 273.2.r.b.269.11 | yes | 64 | ||
13.3 | even | 3 | 273.2.r.b.68.11 | ✓ | 64 | ||
21.17 | even | 6 | 273.2.r.b.269.22 | yes | 64 | ||
39.29 | odd | 6 | 273.2.r.b.68.22 | yes | 64 | ||
91.3 | odd | 6 | inner | 273.2.bf.b.185.22 | yes | 64 | |
273.185 | even | 6 | inner | 273.2.bf.b.185.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.11 | ✓ | 64 | 13.3 | even | 3 | ||
273.2.r.b.68.22 | yes | 64 | 39.29 | odd | 6 | ||
273.2.r.b.269.11 | yes | 64 | 7.3 | odd | 6 | ||
273.2.r.b.269.22 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.152.11 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.22 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.11 | yes | 64 | 273.185 | even | 6 | inner | |
273.2.bf.b.185.22 | yes | 64 | 91.3 | odd | 6 | inner |