Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.4 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | −2.20828 | − | 2.03064i | −0.736093 | − | 0.676881i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −4.28576 | + | 2.57532i | −0.857151 | + | 0.515064i | ||||
\(6\) | −2.27330 | − | 3.58219i | −0.378883 | − | 0.597032i | ||||
\(7\) | −1.16075 | − | 6.90309i | −0.165821 | − | 0.986156i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.752986 | + | 8.96845i | 0.0836651 | + | 0.996494i | ||||
\(10\) | −6.79709 | + | 1.94926i | −0.679709 | + | 0.194926i | ||||
\(11\) | −7.83418 | − | 4.52306i | −0.712198 | − | 0.411188i | 0.0996765 | − | 0.995020i | \(-0.468219\pi\) |
−0.811874 | + | 0.583832i | \(0.801553\pi\) | |||||||
\(12\) | −1.79421 | − | 5.72545i | −0.149517 | − | 0.477121i | ||||
\(13\) | −15.3607 | − | 15.3607i | −1.18159 | − | 1.18159i | −0.979332 | − | 0.202260i | \(-0.935171\pi\) |
−0.202260 | − | 0.979332i | \(-0.564829\pi\) | |||||||
\(14\) | 0.941098 | − | 9.85466i | 0.0672213 | − | 0.703904i | ||||
\(15\) | 14.6937 | + | 3.01581i | 0.979580 | + | 0.201054i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −25.1750 | + | 6.74562i | −1.48088 | + | 0.396801i | −0.906648 | − | 0.421889i | \(-0.861367\pi\) |
−0.574235 | + | 0.818690i | \(0.694701\pi\) | |||||||
\(18\) | −2.25408 | + | 12.5267i | −0.125227 | + | 0.695930i | ||||
\(19\) | −0.500582 | − | 0.867034i | −0.0263464 | − | 0.0456333i | 0.852552 | − | 0.522643i | \(-0.175054\pi\) |
−0.878898 | + | 0.477010i | \(0.841721\pi\) | |||||||
\(20\) | −9.99847 | + | 0.174832i | −0.499924 | + | 0.00874161i | ||||
\(21\) | −11.4545 | + | 17.6010i | −0.545450 | + | 0.838143i | ||||
\(22\) | −9.04613 | − | 9.04613i | −0.411188 | − | 0.411188i | ||||
\(23\) | −3.42602 | + | 12.7861i | −0.148957 | + | 0.555916i | 0.850590 | + | 0.525829i | \(0.176245\pi\) |
−0.999547 | + | 0.0300867i | \(0.990422\pi\) | |||||||
\(24\) | −0.355273 | − | 8.47784i | −0.0148030 | − | 0.353243i | ||||
\(25\) | 11.7354 | − | 22.0744i | 0.469417 | − | 0.882977i | ||||
\(26\) | −15.3607 | − | 26.6055i | −0.590796 | − | 1.02329i | ||||
\(27\) | 16.5489 | − | 21.3339i | 0.612922 | − | 0.790143i | ||||
\(28\) | 4.89262 | − | 13.1173i | 0.174736 | − | 0.468473i | ||||
\(29\) | −8.69269 | −0.299748 | −0.149874 | − | 0.988705i | \(-0.547887\pi\) | ||||
−0.149874 | + | 0.988705i | \(0.547887\pi\) | |||||||
\(30\) | 18.9681 | + | 9.49794i | 0.632270 | + | 0.316598i | ||||
\(31\) | 29.5586 | + | 17.0656i | 0.953502 | + | 0.550504i | 0.894167 | − | 0.447734i | \(-0.147769\pi\) |
0.0593347 | + | 0.998238i | \(0.481102\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 8.11532 | + | 25.8966i | 0.245919 | + | 0.784745i | ||||
\(34\) | −36.8588 | −1.08408 | ||||||||
\(35\) | 22.7524 | + | 26.5957i | 0.650068 | + | 0.759876i | ||||
\(36\) | −7.66423 | + | 16.2868i | −0.212895 | + | 0.452411i | ||||
\(37\) | 4.54478 | − | 16.9613i | 0.122832 | − | 0.458414i | −0.876921 | − | 0.480634i | \(-0.840407\pi\) |
0.999753 | + | 0.0222195i | \(0.00707326\pi\) | |||||||
\(38\) | −0.366452 | − | 1.36762i | −0.00964346 | − | 0.0359899i | ||||
\(39\) | 2.72862 | + | 65.1128i | 0.0699645 | + | 1.66956i | ||||
\(40\) | −13.7222 | − | 3.42087i | −0.343054 | − | 0.0855217i | ||||
\(41\) | 18.4160 | 0.449172 | 0.224586 | − | 0.974454i | \(-0.427897\pi\) | ||||
0.224586 | + | 0.974454i | \(0.427897\pi\) | |||||||
\(42\) | −22.0895 | + | 19.8508i | −0.525940 | + | 0.472638i | ||||
\(43\) | 24.0320 | − | 24.0320i | 0.558885 | − | 0.558885i | −0.370105 | − | 0.928990i | \(-0.620678\pi\) |
0.928990 | + | 0.370105i | \(0.120678\pi\) | |||||||
\(44\) | −9.04613 | − | 15.6684i | −0.205594 | − | 0.356099i | ||||
\(45\) | −26.3238 | − | 36.4974i | −0.584972 | − | 0.811053i | ||||
\(46\) | −9.36005 | + | 16.2121i | −0.203479 | + | 0.352437i | ||||
\(47\) | 8.15043 | − | 30.4178i | 0.173413 | − | 0.647188i | −0.823403 | − | 0.567457i | \(-0.807927\pi\) |
0.996816 | − | 0.0797306i | \(-0.0254060\pi\) | |||||||
\(48\) | 2.61779 | − | 11.7110i | 0.0545374 | − | 0.243979i | ||||
\(49\) | −46.3053 | + | 16.0255i | −0.945007 | + | 0.327051i | ||||
\(50\) | 24.1107 | − | 25.8587i | 0.482214 | − | 0.517175i | ||||
\(51\) | 69.2914 | + | 36.2252i | 1.35865 | + | 0.710298i | ||||
\(52\) | −11.2448 | − | 41.9662i | −0.216246 | − | 0.807042i | ||||
\(53\) | 48.0000 | − | 12.8616i | 0.905660 | − | 0.242671i | 0.224214 | − | 0.974540i | \(-0.428018\pi\) |
0.681445 | + | 0.731869i | \(0.261352\pi\) | |||||||
\(54\) | 30.4150 | − | 23.0853i | 0.563240 | − | 0.427505i | ||||
\(55\) | 45.2237 | − | 0.790777i | 0.822249 | − | 0.0143778i | ||||
\(56\) | 11.4847 | − | 16.1277i | 0.205084 | − | 0.287994i | ||||
\(57\) | −0.655210 | + | 2.93115i | −0.0114949 | + | 0.0514238i | ||||
\(58\) | −11.8744 | − | 3.18175i | −0.204732 | − | 0.0548577i | ||||
\(59\) | −78.7190 | − | 45.4484i | −1.33422 | − | 0.770312i | −0.348277 | − | 0.937392i | \(-0.613233\pi\) |
−0.985943 | + | 0.167079i | \(0.946566\pi\) | |||||||
\(60\) | 22.4344 | + | 19.9172i | 0.373907 | + | 0.331954i | ||||
\(61\) | 56.9490 | − | 32.8795i | 0.933589 | − | 0.539008i | 0.0456445 | − | 0.998958i | \(-0.485466\pi\) |
0.887945 | + | 0.459950i | \(0.152133\pi\) | |||||||
\(62\) | 34.1313 | + | 34.1313i | 0.550504 | + | 0.550504i | ||||
\(63\) | 61.0360 | − | 15.6080i | 0.968825 | − | 0.247746i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | 105.391 | + | 26.2735i | 1.62140 | + | 0.404207i | ||||
\(66\) | 1.60692 | + | 38.3458i | 0.0243473 | + | 0.580997i | ||||
\(67\) | −13.1252 | + | 3.51690i | −0.195899 | + | 0.0524910i | −0.355434 | − | 0.934701i | \(-0.615667\pi\) |
0.159535 | + | 0.987192i | \(0.449000\pi\) | |||||||
\(68\) | −50.3500 | − | 13.4912i | −0.740441 | − | 0.198401i | ||||
\(69\) | 33.5295 | − | 21.2782i | 0.485935 | − | 0.308380i | ||||
\(70\) | 21.3456 | + | 44.6583i | 0.304937 | + | 0.637976i | ||||
\(71\) | 86.5925i | 1.21961i | 0.792551 | + | 0.609806i | \(0.208753\pi\) | ||||
−0.792551 | + | 0.609806i | \(0.791247\pi\) | |||||||
\(72\) | −16.4309 | + | 19.4429i | −0.228207 | + | 0.270040i | ||||
\(73\) | −100.506 | + | 26.9306i | −1.37680 | + | 0.368913i | −0.869958 | − | 0.493126i | \(-0.835854\pi\) |
−0.506843 | + | 0.862039i | \(0.669187\pi\) | |||||||
\(74\) | 12.4166 | − | 21.5061i | 0.167791 | − | 0.290623i | ||||
\(75\) | −70.7403 | + | 24.9160i | −0.943204 | + | 0.332213i | ||||
\(76\) | − | 2.00233i | − | 0.0263464i | ||||||
\(77\) | −22.1296 | + | 59.3302i | −0.287398 | + | 0.770521i | ||||
\(78\) | −20.1056 | + | 89.9444i | −0.257764 | + | 1.15313i | ||||
\(79\) | −69.3172 | + | 40.0203i | −0.877433 | + | 0.506586i | −0.869811 | − | 0.493385i | \(-0.835760\pi\) |
−0.00762204 | + | 0.999971i | \(0.502426\pi\) | |||||||
\(80\) | −17.4927 | − | 9.69565i | −0.218659 | − | 0.121196i | ||||
\(81\) | −79.8660 | + | 13.5062i | −0.986000 | + | 0.166744i | ||||
\(82\) | 25.1568 | + | 6.74074i | 0.306790 | + | 0.0822041i | ||||
\(83\) | 11.6859 | − | 11.6859i | 0.140794 | − | 0.140794i | −0.633197 | − | 0.773991i | \(-0.718258\pi\) |
0.773991 | + | 0.633197i | \(0.218258\pi\) | |||||||
\(84\) | −37.4407 | + | 19.0314i | −0.445723 | + | 0.226564i | ||||
\(85\) | 90.5218 | − | 93.7439i | 1.06496 | − | 1.10287i | ||||
\(86\) | 41.6247 | − | 24.0320i | 0.484008 | − | 0.279442i | ||||
\(87\) | 19.1959 | + | 17.6518i | 0.220642 | + | 0.202894i | ||||
\(88\) | −6.62222 | − | 24.7145i | −0.0752525 | − | 0.280846i | ||||
\(89\) | 62.2002 | − | 35.9113i | 0.698879 | − | 0.403498i | −0.108051 | − | 0.994145i | \(-0.534461\pi\) |
0.806930 | + | 0.590648i | \(0.201128\pi\) | |||||||
\(90\) | −22.5999 | − | 59.4915i | −0.251110 | − | 0.661017i | ||||
\(91\) | −88.2064 | + | 123.866i | −0.969301 | + | 1.36117i | ||||
\(92\) | −18.7201 | + | 18.7201i | −0.203479 | + | 0.203479i | ||||
\(93\) | −30.6193 | − | 97.7085i | −0.329240 | − | 1.05063i | ||||
\(94\) | 22.2674 | − | 38.5682i | 0.236887 | − | 0.410301i | ||||
\(95\) | 4.37826 | + | 2.42674i | 0.0460870 | + | 0.0255446i | ||||
\(96\) | 7.86249 | − | 15.0393i | 0.0819009 | − | 0.156660i | ||||
\(97\) | 5.41316 | − | 5.41316i | 0.0558058 | − | 0.0558058i | −0.678653 | − | 0.734459i | \(-0.737436\pi\) |
0.734459 | + | 0.678653i | \(0.237436\pi\) | |||||||
\(98\) | −69.1200 | + | 4.94228i | −0.705306 | + | 0.0504314i | ||||
\(99\) | 34.6658 | − | 73.6662i | 0.350160 | − | 0.744103i | ||||
\(100\) | 42.4008 | − | 26.4986i | 0.424008 | − | 0.264986i | ||||
\(101\) | −77.7709 | + | 134.703i | −0.770009 | + | 1.33370i | 0.167548 | + | 0.985864i | \(0.446415\pi\) |
−0.937557 | + | 0.347831i | \(0.886918\pi\) | |||||||
\(102\) | 81.3944 | + | 74.8470i | 0.797985 | + | 0.733794i | ||||
\(103\) | −15.4924 | + | 57.8186i | −0.150412 | + | 0.561345i | 0.849043 | + | 0.528324i | \(0.177179\pi\) |
−0.999455 | + | 0.0330210i | \(0.989487\pi\) | |||||||
\(104\) | − | 61.4428i | − | 0.590796i | ||||||
\(105\) | 3.76275 | − | 104.933i | 0.0358357 | − | 0.999358i | ||||
\(106\) | 70.2768 | 0.662989 | ||||||||
\(107\) | 93.8880 | + | 25.1572i | 0.877458 | + | 0.235114i | 0.669310 | − | 0.742983i | \(-0.266590\pi\) |
0.208148 | + | 0.978097i | \(0.433256\pi\) | |||||||
\(108\) | 49.9974 | − | 20.4024i | 0.462939 | − | 0.188912i | ||||
\(109\) | −180.188 | − | 104.032i | −1.65310 | − | 0.954419i | −0.975786 | − | 0.218726i | \(-0.929810\pi\) |
−0.677315 | − | 0.735693i | \(-0.736857\pi\) | |||||||
\(110\) | 62.0662 | + | 15.4728i | 0.564238 | + | 0.140662i | ||||
\(111\) | −44.4785 | + | 28.2265i | −0.400707 | + | 0.254293i | ||||
\(112\) | 21.5915 | − | 17.8271i | 0.192781 | − | 0.159171i | ||||
\(113\) | −36.4626 | − | 36.4626i | −0.322678 | − | 0.322678i | 0.527115 | − | 0.849794i | \(-0.323274\pi\) |
−0.849794 | + | 0.527115i | \(0.823274\pi\) | |||||||
\(114\) | −1.96791 | + | 3.76421i | −0.0172624 | + | 0.0330194i | ||||
\(115\) | −18.2452 | − | 63.6211i | −0.158654 | − | 0.553227i | ||||
\(116\) | −15.0562 | − | 8.69269i | −0.129795 | − | 0.0749370i | ||||
\(117\) | 126.195 | − | 149.328i | 1.07859 | − | 1.27631i | ||||
\(118\) | −90.8969 | − | 90.8969i | −0.770312 | − | 0.770312i | ||||
\(119\) | 75.7874 | + | 165.955i | 0.636869 | + | 1.39458i | ||||
\(120\) | 23.3558 | + | 35.4190i | 0.194632 | + | 0.295159i | ||||
\(121\) | −19.5838 | − | 33.9201i | −0.161850 | − | 0.280332i | ||||
\(122\) | 89.8285 | − | 24.0695i | 0.736299 | − | 0.197291i | ||||
\(123\) | −40.6677 | − | 37.3964i | −0.330632 | − | 0.304036i | ||||
\(124\) | 34.1313 | + | 59.1171i | 0.275252 | + | 0.476751i | ||||
\(125\) | 6.55354 | + | 124.828i | 0.0524283 | + | 0.998625i | ||||
\(126\) | 89.0896 | + | 1.01976i | 0.707060 | + | 0.00809334i | ||||
\(127\) | −18.3314 | − | 18.3314i | −0.144342 | − | 0.144342i | 0.631243 | − | 0.775585i | \(-0.282545\pi\) |
−0.775585 | + | 0.631243i | \(0.782545\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −101.870 | + | 4.26896i | −0.789689 | + | 0.0330927i | ||||
\(130\) | 134.350 | + | 74.4660i | 1.03346 | + | 0.572815i | ||||
\(131\) | −82.2663 | − | 142.489i | −0.627987 | − | 1.08771i | −0.987955 | − | 0.154741i | \(-0.950546\pi\) |
0.359968 | − | 0.932965i | \(-0.382788\pi\) | |||||||
\(132\) | −11.8404 | + | 52.9695i | −0.0897003 | + | 0.401284i | ||||
\(133\) | −5.40416 | + | 4.46197i | −0.0406328 | + | 0.0335486i | ||||
\(134\) | −19.2167 | −0.143408 | ||||||||
\(135\) | −15.9830 | + | 134.051i | −0.118392 | + | 0.992967i | ||||
\(136\) | −63.8413 | − | 36.8588i | −0.469421 | − | 0.271020i | ||||
\(137\) | −60.3021 | − | 225.051i | −0.440162 | − | 1.64271i | −0.728404 | − | 0.685148i | \(-0.759738\pi\) |
0.288243 | − | 0.957557i | \(-0.406929\pi\) | |||||||
\(138\) | 53.5906 | − | 16.7939i | 0.388337 | − | 0.121695i | ||||
\(139\) | 254.372 | 1.83002 | 0.915008 | − | 0.403436i | \(-0.132184\pi\) | ||||
0.915008 | + | 0.403436i | \(0.132184\pi\) | |||||||
\(140\) | 12.8126 | + | 68.8174i | 0.0915184 | + | 0.491553i | ||||
\(141\) | −79.7661 | + | 50.6204i | −0.565717 | + | 0.359010i | ||||
\(142\) | −31.6950 | + | 118.288i | −0.223205 | + | 0.833011i | ||||
\(143\) | 50.8610 | + | 189.816i | 0.355671 | + | 1.32738i | ||||
\(144\) | −29.5616 | + | 20.5453i | −0.205289 | + | 0.142676i | ||||
\(145\) | 37.2548 | − | 22.3865i | 0.256930 | − | 0.154390i | ||||
\(146\) | −147.152 | −1.00789 | ||||||||
\(147\) | 134.797 | + | 58.6409i | 0.916987 | + | 0.398917i | ||||
\(148\) | 24.8331 | − | 24.8331i | 0.167791 | − | 0.167791i | ||||
\(149\) | −56.7486 | − | 98.2914i | −0.380863 | − | 0.659674i | 0.610323 | − | 0.792153i | \(-0.291040\pi\) |
−0.991186 | + | 0.132479i | \(0.957706\pi\) | |||||||
\(150\) | −105.753 | + | 8.14313i | −0.705020 | + | 0.0542875i | ||||
\(151\) | 52.1826 | − | 90.3830i | 0.345580 | − | 0.598563i | −0.639879 | − | 0.768476i | \(-0.721015\pi\) |
0.985459 | + | 0.169913i | \(0.0543488\pi\) | |||||||
\(152\) | 0.732903 | − | 2.73523i | 0.00482173 | − | 0.0179949i | ||||
\(153\) | −79.4542 | − | 220.701i | −0.519308 | − | 1.44249i | ||||
\(154\) | −51.9460 | + | 72.9465i | −0.337312 | + | 0.473679i | ||||
\(155\) | −170.630 | + | 2.98362i | −1.10084 | + | 0.0192492i | ||||
\(156\) | −60.3867 | + | 115.507i | −0.387094 | + | 0.740431i | ||||
\(157\) | −52.0236 | − | 194.155i | −0.331361 | − | 1.23666i | −0.907761 | − | 0.419488i | \(-0.862210\pi\) |
0.576400 | − | 0.817168i | \(-0.304457\pi\) | |||||||
\(158\) | −109.338 | + | 29.2969i | −0.692010 | + | 0.185423i | ||||
\(159\) | −132.114 | − | 69.0689i | −0.830909 | − | 0.434395i | ||||
\(160\) | −20.3466 | − | 19.6473i | −0.127166 | − | 0.122795i | ||||
\(161\) | 92.2402 | + | 8.80873i | 0.572920 | + | 0.0547126i | ||||
\(162\) | −114.043 | − | 10.7831i | −0.703967 | − | 0.0665626i | ||||
\(163\) | 108.249 | + | 29.0052i | 0.664103 | + | 0.177946i | 0.575097 | − | 0.818085i | \(-0.304964\pi\) |
0.0890058 | + | 0.996031i | \(0.471631\pi\) | |||||||
\(164\) | 31.8975 | + | 18.4160i | 0.194497 | + | 0.112293i | ||||
\(165\) | −101.472 | − | 90.0869i | −0.614984 | − | 0.545981i | ||||
\(166\) | 20.2405 | − | 11.6859i | 0.121931 | − | 0.0703968i | ||||
\(167\) | −226.123 | − | 226.123i | −1.35403 | − | 1.35403i | −0.881103 | − | 0.472925i | \(-0.843198\pi\) |
−0.472925 | − | 0.881103i | \(-0.656802\pi\) | |||||||
\(168\) | −58.1109 | + | 12.2931i | −0.345898 | + | 0.0731732i | ||||
\(169\) | 302.902i | 1.79232i | ||||||||
\(170\) | 157.968 | − | 94.9232i | 0.929222 | − | 0.558372i | ||||
\(171\) | 7.39901 | − | 5.14231i | 0.0432691 | − | 0.0300720i | ||||
\(172\) | 65.6568 | − | 17.5927i | 0.381725 | − | 0.102283i | ||||
\(173\) | −107.227 | − | 28.7313i | −0.619808 | − | 0.166077i | −0.0647675 | − | 0.997900i | \(-0.520631\pi\) |
−0.555040 | + | 0.831823i | \(0.687297\pi\) | |||||||
\(174\) | 19.7611 | + | 31.1389i | 0.113569 | + | 0.178959i | ||||
\(175\) | −166.004 | − | 55.3879i | −0.948592 | − | 0.316503i | ||||
\(176\) | − | 36.1845i | − | 0.205594i | ||||||
\(177\) | 81.5440 | + | 260.213i | 0.460700 | + | 1.47013i | ||||
\(178\) | 98.1115 | − | 26.2889i | 0.551188 | − | 0.147690i | ||||
\(179\) | 97.3690 | − | 168.648i | 0.543961 | − | 0.942168i | −0.454711 | − | 0.890639i | \(-0.650257\pi\) |
0.998672 | − | 0.0515286i | \(-0.0164093\pi\) | |||||||
\(180\) | −9.09668 | − | 89.5391i | −0.0505371 | − | 0.497439i | ||||
\(181\) | 252.910i | 1.39729i | 0.715468 | + | 0.698645i | \(0.246213\pi\) | ||||
−0.715468 | + | 0.698645i | \(0.753787\pi\) | |||||||
\(182\) | −165.830 | + | 136.919i | −0.911156 | + | 0.752299i | ||||
\(183\) | −192.526 | − | 43.0359i | −1.05205 | − | 0.235169i | ||||
\(184\) | −32.4242 | + | 18.7201i | −0.176218 | + | 0.101740i | ||||
\(185\) | 24.2031 | + | 84.3964i | 0.130828 | + | 0.456197i | ||||
\(186\) | −6.06295 | − | 144.680i | −0.0325965 | − | 0.777848i | ||||
\(187\) | 227.736 | + | 61.0218i | 1.21784 | + | 0.326320i | ||||
\(188\) | 44.5348 | − | 44.5348i | 0.236887 | − | 0.236887i | ||||
\(189\) | −166.479 | − | 89.4753i | −0.880840 | − | 0.473415i | ||||
\(190\) | 5.09257 | + | 4.91754i | 0.0268030 | + | 0.0258818i | ||||
\(191\) | −34.4963 | + | 19.9164i | −0.180609 | + | 0.104274i | −0.587579 | − | 0.809167i | \(-0.699919\pi\) |
0.406970 | + | 0.913442i | \(0.366585\pi\) | |||||||
\(192\) | 16.2451 | − | 17.6662i | 0.0846101 | − | 0.0920116i | ||||
\(193\) | 0.418109 | + | 1.56040i | 0.00216637 | + | 0.00808500i | 0.967001 | − | 0.254774i | \(-0.0820012\pi\) |
−0.964834 | + | 0.262859i | \(0.915335\pi\) | |||||||
\(194\) | 9.37587 | − | 5.41316i | 0.0483292 | − | 0.0279029i | ||||
\(195\) | −179.381 | − | 272.030i | −0.919900 | − | 1.39503i | ||||
\(196\) | −96.2287 | − | 18.5484i | −0.490963 | − | 0.0946347i | ||||
\(197\) | −61.6336 | + | 61.6336i | −0.312861 | + | 0.312861i | −0.846017 | − | 0.533156i | \(-0.821006\pi\) |
0.533156 | + | 0.846017i | \(0.321006\pi\) | |||||||
\(198\) | 74.3181 | − | 87.9413i | 0.375344 | − | 0.444148i | ||||
\(199\) | −95.7953 | + | 165.922i | −0.481383 | + | 0.833781i | −0.999772 | − | 0.0213648i | \(-0.993199\pi\) |
0.518388 | + | 0.855145i | \(0.326532\pi\) | |||||||
\(200\) | 67.6197 | − | 20.6780i | 0.338098 | − | 0.103390i | ||||
\(201\) | 36.1258 | + | 18.8864i | 0.179730 | + | 0.0939621i | ||||
\(202\) | −155.542 | + | 155.542i | −0.770009 | + | 0.770009i | ||||
\(203\) | 10.0900 | + | 60.0065i | 0.0497045 | + | 0.295598i | ||||
\(204\) | 83.7910 | + | 132.035i | 0.410740 | + | 0.647232i | ||||
\(205\) | −78.9266 | + | 47.4272i | −0.385008 | + | 0.231352i | ||||
\(206\) | −42.3261 | + | 73.3110i | −0.205467 | + | 0.355879i | ||||
\(207\) | −117.251 | − | 21.0983i | −0.566430 | − | 0.101924i | ||||
\(208\) | 22.4896 | − | 83.9324i | 0.108123 | − | 0.403521i | ||||
\(209\) | 9.05666i | 0.0433333i | ||||||||
\(210\) | 43.5480 | − | 141.963i | 0.207371 | − | 0.676016i | ||||
\(211\) | −339.969 | −1.61123 | −0.805614 | − | 0.592441i | \(-0.798164\pi\) | ||||
−0.805614 | + | 0.592441i | \(0.798164\pi\) | |||||||
\(212\) | 95.9999 | + | 25.7231i | 0.452830 | + | 0.121335i | ||||
\(213\) | 175.838 | − | 191.220i | 0.825532 | − | 0.897748i | ||||
\(214\) | 119.045 | + | 68.7308i | 0.556286 | + | 0.321172i | ||||
\(215\) | −41.1052 | + | 164.886i | −0.191187 | + | 0.766910i | ||||
\(216\) | 75.7655 | − | 9.56994i | 0.350766 | − | 0.0443053i | ||||
\(217\) | 83.4957 | − | 223.854i | 0.384773 | − | 1.03159i | ||||
\(218\) | −208.063 | − | 208.063i | −0.954419 | − | 0.954419i | ||||
\(219\) | 276.633 | + | 144.622i | 1.26316 | + | 0.660376i | ||||
\(220\) | 79.1206 | + | 43.8541i | 0.359639 | + | 0.199337i | ||||
\(221\) | 490.323 | + | 283.088i | 2.21866 | + | 1.28094i | ||||
\(222\) | −71.0904 | + | 22.2779i | −0.320227 | + | 0.100351i | ||||
\(223\) | 214.803 | + | 214.803i | 0.963244 | + | 0.963244i | 0.999348 | − | 0.0361038i | \(-0.0114947\pi\) |
−0.0361038 | + | 0.999348i | \(0.511495\pi\) | |||||||
\(224\) | 36.0197 | − | 16.4493i | 0.160802 | − | 0.0734342i | ||||
\(225\) | 206.810 | + | 88.6268i | 0.919155 | + | 0.393897i | ||||
\(226\) | −36.4626 | − | 63.1551i | −0.161339 | − | 0.279448i | ||||
\(227\) | 115.836 | − | 31.0382i | 0.510292 | − | 0.136732i | 0.00551960 | − | 0.999985i | \(-0.498243\pi\) |
0.504772 | + | 0.863252i | \(0.331576\pi\) | |||||||
\(228\) | −4.06601 | + | 4.42170i | −0.0178334 | + | 0.0193934i | ||||
\(229\) | 3.87396 | + | 6.70989i | 0.0169168 | + | 0.0293008i | 0.874360 | − | 0.485278i | \(-0.161282\pi\) |
−0.857443 | + | 0.514579i | \(0.827948\pi\) | |||||||
\(230\) | −1.63644 | − | 93.5862i | −0.00711495 | − | 0.406897i | ||||
\(231\) | 169.347 | − | 86.0801i | 0.733103 | − | 0.372641i | ||||
\(232\) | −17.3854 | − | 17.3854i | −0.0749370 | − | 0.0749370i | ||||
\(233\) | 24.7867 | − | 92.5053i | 0.106381 | − | 0.397018i | −0.892117 | − | 0.451804i | \(-0.850781\pi\) |
0.998498 | + | 0.0547853i | \(0.0174474\pi\) | |||||||
\(234\) | 227.044 | − | 157.795i | 0.970272 | − | 0.674338i | ||||
\(235\) | 43.4049 | + | 151.353i | 0.184702 | + | 0.644057i | ||||
\(236\) | −90.8969 | − | 157.438i | −0.385156 | − | 0.667110i | ||||
\(237\) | 234.339 | + | 52.3825i | 0.988771 | + | 0.221023i | ||||
\(238\) | 42.7837 | + | 254.439i | 0.179763 | + | 1.06907i | ||||
\(239\) | 22.0230 | 0.0921463 | 0.0460732 | − | 0.998938i | \(-0.485329\pi\) | ||||
0.0460732 | + | 0.998938i | \(0.485329\pi\) | |||||||
\(240\) | 18.9403 | + | 56.9321i | 0.0789181 | + | 0.237217i | ||||
\(241\) | 245.178 | + | 141.553i | 1.01733 | + | 0.587358i | 0.913331 | − | 0.407218i | \(-0.133501\pi\) |
0.104004 | + | 0.994577i | \(0.466835\pi\) | |||||||
\(242\) | −14.3363 | − | 53.5039i | −0.0592411 | − | 0.221091i | ||||
\(243\) | 203.793 | + | 132.354i | 0.838653 | + | 0.544666i | ||||
\(244\) | 131.518 | 0.539008 | ||||||||
\(245\) | 157.183 | − | 187.932i | 0.641562 | − | 0.767071i | ||||
\(246\) | −41.8651 | − | 65.9698i | −0.170183 | − | 0.268170i | ||||
\(247\) | −5.62895 | + | 21.0075i | −0.0227893 | + | 0.0850507i | ||||
\(248\) | 24.9858 | + | 93.2484i | 0.100749 | + | 0.376002i | ||||
\(249\) | −49.5355 | + | 2.07584i | −0.198938 | + | 0.00833669i | ||||
\(250\) | −36.7380 | + | 172.917i | −0.146952 | + | 0.691668i | ||||
\(251\) | 457.677 | 1.82341 | 0.911707 | − | 0.410841i | \(-0.134765\pi\) | ||||
0.911707 | + | 0.410841i | \(0.134765\pi\) | |||||||
\(252\) | 121.325 | + | 34.0021i | 0.481450 | + | 0.134929i | ||||
\(253\) | 84.6722 | − | 84.6722i | 0.334673 | − | 0.334673i | ||||
\(254\) | −18.3314 | − | 31.7510i | −0.0721710 | − | 0.125004i | ||||
\(255\) | −390.258 | + | 23.1951i | −1.53042 | + | 0.0909614i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.46476 | − | 16.6627i | 0.0173726 | − | 0.0648355i | −0.956695 | − | 0.291091i | \(-0.905982\pi\) |
0.974068 | + | 0.226256i | \(0.0726484\pi\) | |||||||
\(258\) | −140.719 | − | 31.4555i | −0.545424 | − | 0.121920i | ||||
\(259\) | −122.361 | − | 11.6852i | −0.472436 | − | 0.0451166i | ||||
\(260\) | 156.269 | + | 150.898i | 0.601035 | + | 0.580377i | ||||
\(261\) | −6.54548 | − | 77.9600i | −0.0250785 | − | 0.298697i | ||||
\(262\) | −60.2231 | − | 224.756i | −0.229859 | − | 0.857847i | ||||
\(263\) | −77.8737 | + | 20.8662i | −0.296098 | + | 0.0793392i | −0.403810 | − | 0.914843i | \(-0.632314\pi\) |
0.107712 | + | 0.994182i | \(0.465648\pi\) | |||||||
\(264\) | −35.5625 | + | 68.0238i | −0.134707 | + | 0.257666i | ||||
\(265\) | −172.594 | + | 178.737i | −0.651296 | + | 0.674479i | ||||
\(266\) | −9.01542 | + | 4.11710i | −0.0338926 | + | 0.0154778i | ||||
\(267\) | −210.278 | − | 47.0042i | −0.787560 | − | 0.176046i | ||||
\(268\) | −26.2505 | − | 7.03380i | −0.0979496 | − | 0.0262455i | ||||
\(269\) | −324.065 | − | 187.099i | −1.20470 | − | 0.695534i | −0.243104 | − | 0.970000i | \(-0.578166\pi\) |
−0.961597 | + | 0.274466i | \(0.911499\pi\) | |||||||
\(270\) | −70.8990 | + | 177.266i | −0.262589 | + | 0.656542i | ||||
\(271\) | 360.726 | − | 208.265i | 1.33109 | − | 0.768506i | 0.345624 | − | 0.938373i | \(-0.387667\pi\) |
0.985467 | + | 0.169867i | \(0.0543339\pi\) | |||||||
\(272\) | −73.7175 | − | 73.7175i | −0.271020 | − | 0.271020i | ||||
\(273\) | 446.312 | − | 94.4153i | 1.63484 | − | 0.345844i | ||||
\(274\) | − | 329.497i | − | 1.20254i | ||||||
\(275\) | −191.781 | + | 119.855i | −0.697387 | + | 0.435835i | ||||
\(276\) | 79.3530 | − | 3.32537i | 0.287511 | − | 0.0120484i | ||||
\(277\) | −137.721 | + | 36.9022i | −0.497187 | + | 0.133221i | −0.498694 | − | 0.866778i | \(-0.666187\pi\) |
0.00150717 | + | 0.999999i | \(0.499520\pi\) | |||||||
\(278\) | 347.479 | + | 93.1067i | 1.24992 | + | 0.334916i | ||||
\(279\) | −130.795 | + | 277.944i | −0.468799 | + | 0.996217i | ||||
\(280\) | −7.68663 | + | 98.6961i | −0.0274522 | + | 0.352486i | ||||
\(281\) | − | 62.0801i | − | 0.220926i | −0.993880 | − | 0.110463i | \(-0.964767\pi\) | ||
0.993880 | − | 0.110463i | \(-0.0352333\pi\) | |||||||
\(282\) | −127.491 | + | 39.9523i | −0.452095 | + | 0.141675i | ||||
\(283\) | 39.5986 | − | 10.6104i | 0.139924 | − | 0.0374926i | −0.188177 | − | 0.982135i | \(-0.560258\pi\) |
0.328101 | + | 0.944642i | \(0.393591\pi\) | |||||||
\(284\) | −86.5925 | + | 149.983i | −0.304903 | + | 0.528108i | ||||
\(285\) | −4.74060 | − | 14.2496i | −0.0166337 | − | 0.0499986i | ||||
\(286\) | 277.910i | 0.971712i | ||||||||
\(287\) | −21.3763 | − | 127.128i | −0.0744820 | − | 0.442953i | ||||
\(288\) | −47.9020 | + | 17.2451i | −0.166327 | + | 0.0598788i | ||||
\(289\) | 337.996 | − | 195.142i | 1.16954 | − | 0.675233i | ||||
\(290\) | 59.0850 | − | 16.9443i | 0.203741 | − | 0.0584287i | ||||
\(291\) | −22.9460 | + | 0.961574i | −0.0788521 | + | 0.00330438i | ||||
\(292\) | −201.013 | − | 53.8612i | −0.688400 | − | 0.184456i | ||||
\(293\) | −368.013 | + | 368.013i | −1.25602 | + | 1.25602i | −0.303038 | + | 0.952978i | \(0.598001\pi\) |
−0.952978 | + | 0.303038i | \(0.901999\pi\) | |||||||
\(294\) | 162.672 | + | 129.444i | 0.553307 | + | 0.440286i | ||||
\(295\) | 454.415 | − | 7.94585i | 1.54039 | − | 0.0269351i | ||||
\(296\) | 43.0122 | − | 24.8331i | 0.145312 | − | 0.0838957i | ||||
\(297\) | −226.141 | + | 92.2816i | −0.761419 | + | 0.310712i | ||||
\(298\) | −41.5428 | − | 155.040i | −0.139406 | − | 0.520268i | ||||
\(299\) | 249.029 | − | 143.777i | 0.832873 | − | 0.480859i | ||||
\(300\) | −147.442 | − | 27.5846i | −0.491473 | − | 0.0919485i | ||||
\(301\) | −193.790 | − | 138.000i | −0.643822 | − | 0.458473i | ||||
\(302\) | 104.365 | − | 104.365i | 0.345580 | − | 0.345580i | ||||
\(303\) | 445.274 | − | 139.537i | 1.46955 | − | 0.460519i | ||||
\(304\) | 2.00233 | − | 3.46813i | 0.00658661 | − | 0.0114083i | ||||
\(305\) | −159.394 | + | 287.575i | −0.522604 | + | 0.942870i | ||||
\(306\) | −27.7541 | − | 330.566i | −0.0906998 | − | 1.08028i | ||||
\(307\) | −50.8387 | + | 50.8387i | −0.165598 | + | 0.165598i | −0.785042 | − | 0.619443i | \(-0.787358\pi\) |
0.619443 | + | 0.785042i | \(0.287358\pi\) | |||||||
\(308\) | −97.6598 | + | 80.6332i | −0.317077 | + | 0.261796i | ||||
\(309\) | 151.620 | − | 96.2199i | 0.490681 | − | 0.311391i | ||||
\(310\) | −234.177 | − | 58.3793i | −0.755411 | − | 0.188320i | ||||
\(311\) | 49.3893 | − | 85.5448i | 0.158808 | − | 0.275064i | −0.775631 | − | 0.631187i | \(-0.782568\pi\) |
0.934439 | + | 0.356123i | \(0.115902\pi\) | |||||||
\(312\) | −124.768 | + | 135.683i | −0.399898 | + | 0.434881i | ||||
\(313\) | −98.5456 | + | 367.777i | −0.314842 | + | 1.17501i | 0.609294 | + | 0.792944i | \(0.291453\pi\) |
−0.924136 | + | 0.382063i | \(0.875214\pi\) | |||||||
\(314\) | − | 284.262i | − | 0.905295i | ||||||
\(315\) | −221.390 | + | 224.079i | −0.702824 | + | 0.711363i | ||||
\(316\) | −160.081 | −0.506586 | ||||||||
\(317\) | −195.717 | − | 52.4421i | −0.617402 | − | 0.165432i | −0.0634558 | − | 0.997985i | \(-0.520212\pi\) |
−0.553947 | + | 0.832552i | \(0.686879\pi\) | |||||||
\(318\) | −155.191 | − | 142.707i | −0.488021 | − | 0.448764i | ||||
\(319\) | 68.1001 | + | 39.3176i | 0.213480 | + | 0.123253i | ||||
\(320\) | −20.6026 | − | 34.2861i | −0.0643831 | − | 0.107144i | ||||
\(321\) | −156.246 | − | 246.207i | −0.486746 | − | 0.767000i | ||||
\(322\) | 122.778 | + | 45.7952i | 0.381299 | + | 0.142221i | ||||
\(323\) | 18.4508 | + | 18.4508i | 0.0571233 | + | 0.0571233i | ||||
\(324\) | −151.838 | − | 56.4725i | −0.468637 | − | 0.174298i | ||||
\(325\) | −519.343 | + | 158.814i | −1.59798 | + | 0.488658i | ||||
\(326\) | 137.254 | + | 79.2436i | 0.421024 | + | 0.243078i | ||||
\(327\) | 186.654 | + | 595.628i | 0.570809 | + | 1.82149i | ||||
\(328\) | 36.8321 | + | 36.8321i | 0.112293 | + | 0.112293i | ||||
\(329\) | −219.438 | − | 20.9558i | −0.666983 | − | 0.0636954i | ||||
\(330\) | −105.640 | − | 160.202i | −0.320120 | − | 0.485462i | ||||
\(331\) | −260.425 | − | 451.069i | −0.786782 | − | 1.36275i | −0.927929 | − | 0.372758i | \(-0.878412\pi\) |
0.141147 | − | 0.989989i | \(-0.454921\pi\) | |||||||
\(332\) | 31.9264 | − | 8.55465i | 0.0961639 | − | 0.0257670i | ||||
\(333\) | 155.539 | + | 27.9879i | 0.467084 | + | 0.0840478i | ||||
\(334\) | −226.123 | − | 391.656i | −0.677014 | − | 1.17262i | ||||
\(335\) | 47.1945 | − | 48.8743i | 0.140879 | − | 0.145893i | ||||
\(336\) | −83.8806 | − | 4.47739i | −0.249645 | − | 0.0133256i | ||||
\(337\) | 319.919 | + | 319.919i | 0.949314 | + | 0.949314i | 0.998776 | − | 0.0494620i | \(-0.0157507\pi\) |
−0.0494620 | + | 0.998776i | \(0.515751\pi\) | |||||||
\(338\) | −110.870 | + | 413.772i | −0.328017 | + | 1.22418i | ||||
\(339\) | 6.47709 | + | 154.562i | 0.0191065 | + | 0.455936i | ||||
\(340\) | 250.532 | − | 71.8473i | 0.736860 | − | 0.211316i | ||||
\(341\) | −154.378 | − | 267.390i | −0.452721 | − | 0.784136i | ||||
\(342\) | 11.9895 | − | 4.31630i | 0.0350569 | − | 0.0126207i | ||||
\(343\) | 164.374 | + | 301.048i | 0.479225 | + | 0.877692i | ||||
\(344\) | 96.1282 | 0.279442 | ||||||||
\(345\) | −88.9012 | + | 177.543i | −0.257685 | + | 0.514616i | ||||
\(346\) | −135.958 | − | 78.4955i | −0.392943 | − | 0.226865i | ||||
\(347\) | −56.7622 | − | 211.839i | −0.163580 | − | 0.610488i | −0.998217 | − | 0.0596883i | \(-0.980989\pi\) |
0.834637 | − | 0.550800i | \(-0.185677\pi\) | |||||||
\(348\) | 15.5965 | + | 49.7696i | 0.0448175 | + | 0.143016i | ||||
\(349\) | 236.118 | 0.676555 | 0.338277 | − | 0.941046i | \(-0.390156\pi\) | ||||
0.338277 | + | 0.941046i | \(0.390156\pi\) | |||||||
\(350\) | −206.492 | − | 136.423i | −0.589976 | − | 0.389780i | ||||
\(351\) | −581.906 | + | 73.5005i | −1.65785 | + | 0.209403i | ||||
\(352\) | 13.2444 | − | 49.4290i | 0.0376263 | − | 0.140423i | ||||
\(353\) | 70.0392 | + | 261.390i | 0.198411 | + | 0.740481i | 0.991357 | + | 0.131189i | \(0.0418795\pi\) |
−0.792946 | + | 0.609292i | \(0.791454\pi\) | |||||||
\(354\) | 16.1466 | + | 385.305i | 0.0456118 | + | 1.08843i | ||||
\(355\) | −223.004 | − | 371.114i | −0.628179 | − | 1.04539i | ||||
\(356\) | 143.645 | 0.403498 | ||||||||
\(357\) | 169.636 | − | 520.373i | 0.475172 | − | 1.45763i | ||||
\(358\) | 194.738 | − | 194.738i | 0.543961 | − | 0.543961i | ||||
\(359\) | −25.7908 | − | 44.6709i | −0.0718405 | − | 0.124431i | 0.827867 | − | 0.560924i | \(-0.189554\pi\) |
−0.899708 | + | 0.436492i | \(0.856221\pi\) | |||||||
\(360\) | 20.3473 | − | 125.642i | 0.0565202 | − | 0.349006i | ||||
\(361\) | 179.999 | − | 311.767i | 0.498612 | − | 0.863621i | ||||
\(362\) | −92.5713 | + | 345.481i | −0.255722 | + | 0.954367i | ||||
\(363\) | −25.6332 | + | 114.673i | −0.0706148 | + | 0.315903i | ||||
\(364\) | −276.644 | + | 126.336i | −0.760011 | + | 0.347077i | ||||
\(365\) | 361.391 | − | 374.255i | 0.990113 | − | 1.02535i | ||||
\(366\) | −247.243 | − | 129.257i | −0.675526 | − | 0.353162i | ||||
\(367\) | 178.215 | + | 665.106i | 0.485598 | + | 1.81228i | 0.577352 | + | 0.816496i | \(0.304086\pi\) |
−0.0917533 | + | 0.995782i | \(0.529247\pi\) | |||||||
\(368\) | −51.1443 | + | 13.7041i | −0.138979 | + | 0.0372393i | ||||
\(369\) | 13.8670 | + | 165.163i | 0.0375800 | + | 0.447597i | ||||
\(370\) | 2.17082 | + | 124.147i | 0.00586707 | + | 0.335531i | ||||
\(371\) | −144.500 | − | 316.419i | −0.389489 | − | 0.852882i | ||||
\(372\) | 44.6743 | − | 199.855i | 0.120092 | − | 0.537246i | ||||
\(373\) | −539.199 | − | 144.478i | −1.44557 | − | 0.387340i | −0.551091 | − | 0.834445i | \(-0.685788\pi\) |
−0.894482 | + | 0.447105i | \(0.852455\pi\) | |||||||
\(374\) | 288.758 | + | 166.715i | 0.772080 | + | 0.445761i | ||||
\(375\) | 239.009 | − | 288.963i | 0.637358 | − | 0.770568i | ||||
\(376\) | 77.1365 | − | 44.5348i | 0.205150 | − | 0.118444i | ||||
\(377\) | 133.526 | + | 133.526i | 0.354180 | + | 0.354180i | ||||
\(378\) | −194.664 | − | 183.161i | −0.514984 | − | 0.484553i | ||||
\(379\) | − | 205.024i | − | 0.540962i | −0.962725 | − | 0.270481i | \(-0.912817\pi\) | ||
0.962725 | − | 0.270481i | \(-0.0871827\pi\) | |||||||
\(380\) | 5.15664 | + | 8.58149i | 0.0135701 | + | 0.0225829i | ||||
\(381\) | 3.25633 | + | 77.7055i | 0.00854679 | + | 0.203951i | ||||
\(382\) | −54.4127 | + | 14.5798i | −0.142442 | + | 0.0381671i | ||||
\(383\) | 14.1827 | + | 3.80025i | 0.0370306 | + | 0.00992232i | 0.277287 | − | 0.960787i | \(-0.410565\pi\) |
−0.240256 | + | 0.970710i | \(0.577231\pi\) | |||||||
\(384\) | 28.6576 | − | 18.1864i | 0.0746291 | − | 0.0473604i | ||||
\(385\) | −57.9521 | − | 311.266i | −0.150525 | − | 0.808482i | ||||
\(386\) | 2.28459i | 0.00591863i | ||||||||
\(387\) | 233.626 | + | 197.434i | 0.603684 | + | 0.510166i | ||||
\(388\) | 14.7890 | − | 3.96271i | 0.0381161 | − | 0.0102132i | ||||
\(389\) | −106.806 | + | 184.994i | −0.274567 | + | 0.475563i | −0.970026 | − | 0.243002i | \(-0.921868\pi\) |
0.695459 | + | 0.718566i | \(0.255201\pi\) | |||||||
\(390\) | −145.468 | − | 437.258i | −0.372996 | − | 1.12118i | ||||
\(391\) | − | 345.000i | − | 0.882353i | ||||||
\(392\) | −124.662 | − | 60.5597i | −0.318014 | − | 0.154489i | ||||
\(393\) | −107.678 | + | 481.710i | −0.273990 | + | 1.22572i | ||||
\(394\) | −106.753 | + | 61.6336i | −0.270946 | + | 0.156430i | ||||
\(395\) | 194.012 | − | 350.032i | 0.491169 | − | 0.886156i | ||||
\(396\) | 133.709 | − | 92.9277i | 0.337649 | − | 0.234666i | ||||
\(397\) | −498.188 | − | 133.489i | −1.25488 | − | 0.336245i | −0.430661 | − | 0.902514i | \(-0.641720\pi\) |
−0.824220 | + | 0.566269i | \(0.808386\pi\) | |||||||
\(398\) | −191.591 | + | 191.591i | −0.481383 | + | 0.481383i | ||||
\(399\) | 20.9946 | + | 1.12065i | 0.0526179 | + | 0.00280865i | ||||
\(400\) | 99.9389 | − | 3.49611i | 0.249847 | − | 0.00874028i | ||||
\(401\) | 37.5169 | − | 21.6604i | 0.0935583 | − | 0.0540159i | −0.452491 | − | 0.891769i | \(-0.649464\pi\) |
0.546049 | + | 0.837753i | \(0.316131\pi\) | |||||||
\(402\) | 42.4358 | + | 39.0222i | 0.105562 | + | 0.0970702i | ||||
\(403\) | −191.900 | − | 716.180i | −0.476178 | − | 1.77712i | ||||
\(404\) | −269.406 | + | 155.542i | −0.666848 | + | 0.385005i | ||||
\(405\) | 307.503 | − | 263.565i | 0.759268 | − | 0.650778i | ||||
\(406\) | −8.18068 | + | 85.6636i | −0.0201494 | + | 0.210994i | ||||
\(407\) | −112.322 | + | 112.322i | −0.275975 | + | 0.275975i | ||||
\(408\) | 66.1323 | + | 211.033i | 0.162089 | + | 0.517238i | ||||
\(409\) | 179.671 | − | 311.199i | 0.439293 | − | 0.760877i | −0.558342 | − | 0.829611i | \(-0.688562\pi\) |
0.997635 | + | 0.0687334i | \(0.0218958\pi\) | |||||||
\(410\) | −125.175 | + | 35.8976i | −0.305306 | + | 0.0875552i | ||||
\(411\) | −323.833 | + | 619.426i | −0.787916 | + | 1.50712i | ||||
\(412\) | −84.6523 | + | 84.6523i | −0.205467 | + | 0.205467i | ||||
\(413\) | −222.362 | + | 596.159i | −0.538407 | + | 1.44348i | ||||
\(414\) | −152.445 | − | 71.7377i | −0.368225 | − | 0.173279i | ||||
\(415\) | −19.9879 | + | 80.1777i | −0.0481637 | + | 0.193199i | ||||
\(416\) | 61.4428 | − | 106.422i | 0.147699 | − | 0.255822i | ||||
\(417\) | −561.724 | − | 516.539i | −1.34706 | − | 1.23870i | ||||
\(418\) | −3.31497 | + | 12.3716i | −0.00793054 | + | 0.0295972i | ||||
\(419\) | 281.779i | 0.672504i | 0.941772 | + | 0.336252i | \(0.109159\pi\) | ||||
−0.941772 | + | 0.336252i | \(0.890841\pi\) | |||||||
\(420\) | 111.450 | − | 177.986i | 0.265357 | − | 0.423776i | ||||
\(421\) | 577.752 | 1.37233 | 0.686166 | − | 0.727445i | \(-0.259292\pi\) | ||||
0.686166 | + | 0.727445i | \(0.259292\pi\) | |||||||
\(422\) | −464.406 | − | 124.437i | −1.10049 | − | 0.294875i | ||||
\(423\) | 278.938 | + | 50.1925i | 0.659427 | + | 0.118658i | ||||
\(424\) | 121.723 | + | 70.2768i | 0.287083 | + | 0.165747i | ||||
\(425\) | −146.534 | + | 634.886i | −0.344785 | + | 1.49385i | ||||
\(426\) | 310.191 | − | 196.851i | 0.728148 | − | 0.462090i | ||||
\(427\) | −293.073 | − | 354.959i | −0.686355 | − | 0.831286i | ||||
\(428\) | 137.462 | + | 137.462i | 0.321172 | + | 0.321172i | ||||
\(429\) | 273.133 | − | 522.446i | 0.636673 | − | 1.21782i | ||||
\(430\) | −116.503 | + | 210.193i | −0.270938 | + | 0.488820i | ||||
\(431\) | 102.754 | + | 59.3253i | 0.238409 | + | 0.137646i | 0.614445 | − | 0.788959i | \(-0.289380\pi\) |
−0.376036 | + | 0.926605i | \(0.622713\pi\) | |||||||
\(432\) | 107.000 | + | 14.6593i | 0.247686 | + | 0.0339336i | ||||
\(433\) | 26.5938 | + | 26.5938i | 0.0614175 | + | 0.0614175i | 0.737148 | − | 0.675731i | \(-0.236172\pi\) |
−0.675731 | + | 0.737148i | \(0.736172\pi\) | |||||||
\(434\) | 195.994 | − | 275.229i | 0.451598 | − | 0.634168i | ||||
\(435\) | −127.728 | − | 26.2155i | −0.293627 | − | 0.0602655i | ||||
\(436\) | −208.063 | − | 360.376i | −0.477209 | − | 0.826551i | ||||
\(437\) | 12.8010 | − | 3.43001i | 0.0292928 | − | 0.00784898i | ||||
\(438\) | 324.952 | + | 298.812i | 0.741899 | + | 0.682220i | ||||
\(439\) | −130.238 | − | 225.578i | −0.296669 | − | 0.513845i | 0.678703 | − | 0.734413i | \(-0.262542\pi\) |
−0.975372 | + | 0.220568i | \(0.929209\pi\) | |||||||
\(440\) | 92.0290 | + | 88.8659i | 0.209157 | + | 0.201968i | ||||
\(441\) | −178.591 | − | 403.220i | −0.404968 | − | 0.914331i | ||||
\(442\) | 566.176 | + | 566.176i | 1.28094 | + | 1.28094i | ||||
\(443\) | 62.8734 | − | 234.647i | 0.141926 | − | 0.529676i | −0.857947 | − | 0.513739i | \(-0.828260\pi\) |
0.999873 | − | 0.0159375i | \(-0.00507327\pi\) | |||||||
\(444\) | −105.266 | + | 4.41126i | −0.237085 | + | 0.00993528i | ||||
\(445\) | −174.092 | + | 314.093i | −0.391218 | + | 0.705826i | ||||
\(446\) | 214.803 | + | 372.051i | 0.481622 | + | 0.834194i | ||||
\(447\) | −74.2780 | + | 332.291i | −0.166170 | + | 0.743380i | ||||
\(448\) | 55.2247 | − | 9.28597i | 0.123269 | − | 0.0207276i | ||||
\(449\) | 50.5826 | 0.112656 | 0.0563280 | − | 0.998412i | \(-0.482061\pi\) | ||||
0.0563280 | + | 0.998412i | \(0.482061\pi\) | |||||||
\(450\) | 250.068 | + | 196.764i | 0.555706 | + | 0.437254i | ||||
\(451\) | −144.274 | − | 83.2969i | −0.319899 | − | 0.184694i | ||||
\(452\) | −26.6925 | − | 99.6178i | −0.0590542 | − | 0.220393i | ||||
\(453\) | −298.769 | + | 93.6265i | −0.659535 | + | 0.206681i | ||||
\(454\) | 169.596 | 0.373560 | ||||||||
\(455\) | 59.0360 | − | 758.020i | 0.129749 | − | 1.66598i | ||||
\(456\) | −7.17273 | + | 4.55189i | −0.0157297 | + | 0.00998221i | ||||
\(457\) | 33.4156 | − | 124.709i | 0.0731194 | − | 0.272885i | −0.919681 | − | 0.392667i | \(-0.871553\pi\) |
0.992800 | + | 0.119781i | \(0.0382193\pi\) | |||||||
\(458\) | 2.83593 | + | 10.5838i | 0.00619199 | + | 0.0231088i | ||||
\(459\) | −272.708 | + | 648.713i | −0.594136 | + | 1.41332i | ||||
\(460\) | 32.0195 | − | 128.440i | 0.0696077 | − | 0.279218i | ||||
\(461\) | −320.833 | −0.695951 | −0.347975 | − | 0.937504i | \(-0.613131\pi\) | ||||
−0.347975 | + | 0.937504i | \(0.613131\pi\) | |||||||
\(462\) | 262.839 | − | 55.6025i | 0.568916 | − | 0.120352i | ||||
\(463\) | 47.6951 | − | 47.6951i | 0.103013 | − | 0.103013i | −0.653722 | − | 0.756735i | \(-0.726793\pi\) |
0.756735 | + | 0.653722i | \(0.226793\pi\) | |||||||
\(464\) | −17.3854 | − | 30.1124i | −0.0374685 | − | 0.0648974i | ||||
\(465\) | 382.858 | + | 339.900i | 0.823350 | + | 0.730969i | ||||
\(466\) | 67.7186 | − | 117.292i | 0.145319 | − | 0.251700i | ||||
\(467\) | 48.4328 | − | 180.754i | 0.103711 | − | 0.387053i | −0.894485 | − | 0.447098i | \(-0.852458\pi\) |
0.998196 | + | 0.0600447i | \(0.0191243\pi\) | |||||||
\(468\) | 367.904 | − | 132.448i | 0.786120 | − | 0.283009i | ||||
\(469\) | 39.5126 | + | 86.5225i | 0.0842485 | + | 0.184483i | ||||
\(470\) | 3.89306 | + | 222.640i | 0.00828310 | + | 0.473702i | ||||
\(471\) | −279.376 | + | 534.389i | −0.593156 | + | 1.13458i | ||||
\(472\) | −66.5411 | − | 248.335i | −0.140977 | − | 0.526133i | ||||
\(473\) | −296.970 | + | 79.5728i | −0.627843 | + | 0.168230i | ||||
\(474\) | 300.939 | + | 157.330i | 0.634893 | + | 0.331919i | ||||
\(475\) | −25.0138 | + | 0.875045i | −0.0526606 | + | 0.00184220i | ||||
\(476\) | −34.6877 | + | 363.231i | −0.0728733 | + | 0.763090i | ||||
\(477\) | 151.491 | + | 420.801i | 0.317592 | + | 0.882181i | ||||
\(478\) | 30.0839 | + | 8.06097i | 0.0629371 | + | 0.0168639i | ||||
\(479\) | −9.08244 | − | 5.24375i | −0.0189613 | − | 0.0109473i | 0.490489 | − | 0.871447i | \(-0.336818\pi\) |
−0.509451 | + | 0.860500i | \(0.670151\pi\) | |||||||
\(480\) | 5.03438 | + | 84.7033i | 0.0104883 | + | 0.176465i | ||||
\(481\) | −330.349 | + | 190.727i | −0.686796 | + | 0.396522i | ||||
\(482\) | 283.107 | + | 283.107i | 0.587358 | + | 0.587358i | ||||
\(483\) | −185.805 | − | 206.759i | −0.384689 | − | 0.428072i | ||||
\(484\) | − | 78.3352i | − | 0.161850i | ||||||
\(485\) | −9.25886 | + | 37.1401i | −0.0190904 | + | 0.0765776i | ||||
\(486\) | 229.941 | + | 255.392i | 0.473130 | + | 0.525498i | ||||
\(487\) | −641.241 | + | 171.820i | −1.31672 | + | 0.352813i | −0.847747 | − | 0.530401i | \(-0.822041\pi\) |
−0.468970 | + | 0.883214i | \(0.655375\pi\) | |||||||
\(488\) | 179.657 | + | 48.1389i | 0.368149 | + | 0.0986453i | ||||
\(489\) | −180.144 | − | 283.866i | −0.368393 | − | 0.580503i | ||||
\(490\) | 283.504 | − | 199.188i | 0.578579 | − | 0.406505i | ||||
\(491\) | − | 141.943i | − | 0.289089i | −0.989498 | − | 0.144544i | \(-0.953828\pi\) | ||
0.989498 | − | 0.144544i | \(-0.0461717\pi\) | |||||||
\(492\) | −33.0422 | − | 105.440i | −0.0671589 | − | 0.214309i | ||||
\(493\) | 218.839 | − | 58.6376i | 0.443892 | − | 0.118940i | ||||
\(494\) | −15.3786 | + | 26.6365i | −0.0311307 | + | 0.0539200i | ||||
\(495\) | 41.1449 | + | 404.991i | 0.0831210 | + | 0.818164i | ||||
\(496\) | 136.525i | 0.275252i | ||||||||
\(497\) | 597.756 | − | 100.512i | 1.20273 | − | 0.202237i | ||||
\(498\) | −68.4265 | − | 15.2956i | −0.137403 | − | 0.0307141i | ||||
\(499\) | 230.967 | − | 133.349i | 0.462860 | − | 0.267232i | −0.250386 | − | 0.968146i | \(-0.580558\pi\) |
0.713246 | + | 0.700914i | \(0.247224\pi\) | |||||||
\(500\) | −113.477 | + | 222.762i | −0.226954 | + | 0.445524i | ||||
\(501\) | 40.1676 | + | 958.516i | 0.0801748 | + | 1.91320i | ||||
\(502\) | 625.198 | + | 167.521i | 1.24542 | + | 0.333708i | ||||
\(503\) | 554.413 | − | 554.413i | 1.10221 | − | 1.10221i | 0.108070 | − | 0.994143i | \(-0.465533\pi\) |
0.994143 | − | 0.108070i | \(-0.0344671\pi\) | |||||||
\(504\) | 153.288 | + | 90.8559i | 0.304143 | + | 0.180270i | ||||
\(505\) | −13.5969 | − | 777.590i | −0.0269245 | − | 1.53978i | ||||
\(506\) | 146.657 | − | 84.6722i | 0.289835 | − | 0.167336i | ||||
\(507\) | 615.085 | − | 668.892i | 1.21319 | − | 1.31931i | ||||
\(508\) | −13.4195 | − | 50.0824i | −0.0264164 | − | 0.0985874i | ||||
\(509\) | 136.350 | − | 78.7219i | 0.267879 | − | 0.154660i | −0.360044 | − | 0.932935i | \(-0.617238\pi\) |
0.627923 | + | 0.778275i | \(0.283905\pi\) | |||||||
\(510\) | −541.592 | − | 111.159i | −1.06194 | − | 0.217959i | ||||
\(511\) | 302.567 | + | 662.545i | 0.592108 | + | 1.29657i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −26.7813 | − | 3.66910i | −0.0522052 | − | 0.00715224i | ||||
\(514\) | 12.1980 | − | 21.1275i | 0.0237314 | − | 0.0411040i | ||||
\(515\) | −82.5046 | − | 287.694i | −0.160203 | − | 0.558630i | ||||
\(516\) | −180.713 | − | 94.4758i | −0.350219 | − | 0.183093i | ||||
\(517\) | −201.434 | + | 201.434i | −0.389620 | + | 0.389620i | ||||
\(518\) | −162.871 | − | 60.7495i | −0.314423 | − | 0.117277i | ||||
\(519\) | 178.444 | + | 281.186i | 0.343822 | + | 0.541784i | ||||
\(520\) | 158.235 | + | 263.329i | 0.304298 | + | 0.506402i | ||||
\(521\) | 204.683 | − | 354.522i | 0.392866 | − | 0.680464i | −0.599960 | − | 0.800030i | \(-0.704817\pi\) |
0.992826 | + | 0.119566i | \(0.0381502\pi\) | |||||||
\(522\) | 19.5940 | − | 108.891i | 0.0375365 | − | 0.208604i | ||||
\(523\) | −110.134 | + | 411.024i | −0.210581 | + | 0.785897i | 0.777095 | + | 0.629383i | \(0.216692\pi\) |
−0.987676 | + | 0.156514i | \(0.949974\pi\) | |||||||
\(524\) | − | 329.065i | − | 0.627987i | ||||||
\(525\) | 254.109 | + | 459.406i | 0.484017 | + | 0.875059i | ||||
\(526\) | −114.015 | −0.216759 | ||||||||
\(527\) | −859.255 | − | 230.237i | −1.63047 | − | 0.436882i | ||||
\(528\) | −73.4778 | + | 79.9055i | −0.139162 | + | 0.151336i | ||||
\(529\) | 306.381 | + | 176.889i | 0.579171 | + | 0.334384i | ||||
\(530\) | −301.189 | + | 180.985i | −0.568282 | + | 0.341482i | ||||
\(531\) | 348.327 | − | 740.209i | 0.655984 | − | 1.39399i | ||||
\(532\) | −13.8223 | + | 2.32420i | −0.0259817 | + | 0.00436879i | ||||
\(533\) | −282.883 | − | 282.883i | −0.530737 | − | 0.530737i | ||||
\(534\) | −270.041 | − | 141.176i | −0.505695 | − | 0.264375i | ||||
\(535\) | −467.169 | + | 133.974i | −0.873214 | + | 0.250419i | ||||
\(536\) | −33.2843 | − | 19.2167i | −0.0620976 | − | 0.0358520i | ||||
\(537\) | −557.482 | + | 174.700i | −1.03814 | + | 0.325326i | ||||
\(538\) | −374.197 | − | 374.197i | −0.695534 | − | 0.695534i | ||||
\(539\) | 435.248 | + | 83.8956i | 0.807511 | + | 0.155650i | ||||
\(540\) | −161.734 | + | 216.199i | −0.299507 | + | 0.400369i | ||||
\(541\) | −31.4934 | − | 54.5481i | −0.0582132 | − | 0.100828i | 0.835450 | − | 0.549566i | \(-0.185207\pi\) |
−0.893663 | + | 0.448738i | \(0.851874\pi\) | |||||||
\(542\) | 568.991 | − | 152.461i | 1.04980 | − | 0.281293i | ||||
\(543\) | 513.569 | − | 558.495i | 0.945799 | − | 1.02854i | ||||
\(544\) | −73.7175 | − | 127.683i | −0.135510 | − | 0.234711i | ||||
\(545\) | 1040.16 | − | 18.1881i | 1.90855 | − | 0.0333726i | ||||
\(546\) | 644.232 | + | 34.3879i | 1.17991 | + | 0.0629815i | ||||
\(547\) | 283.231 | + | 283.231i | 0.517790 | + | 0.517790i | 0.916902 | − | 0.399112i | \(-0.130682\pi\) |
−0.399112 | + | 0.916902i | \(0.630682\pi\) | |||||||
\(548\) | 120.604 | − | 450.101i | 0.220081 | − | 0.821353i | ||||
\(549\) | 337.760 | + | 485.986i | 0.615227 | + | 0.885220i | ||||
\(550\) | −305.848 | + | 93.5278i | −0.556087 | + | 0.170050i | ||||
\(551\) | 4.35141 | + | 7.53686i | 0.00789729 | + | 0.0136785i | ||||
\(552\) | 109.615 | + | 24.5027i | 0.198579 | + | 0.0443889i | ||||
\(553\) | 356.724 | + | 432.050i | 0.645070 | + | 0.781283i | ||||
\(554\) | −201.637 | −0.363966 | ||||||||
\(555\) | 117.932 | − | 235.519i | 0.212490 | − | 0.424358i | ||||
\(556\) | 440.585 | + | 254.372i | 0.792420 | + | 0.457504i | ||||
\(557\) | 54.2162 | + | 202.338i | 0.0973361 | + | 0.363263i | 0.997363 | − | 0.0725705i | \(-0.0231202\pi\) |
−0.900027 | + | 0.435834i | \(0.856454\pi\) | |||||||
\(558\) | −280.404 | + | 331.805i | −0.502516 | + | 0.594632i | ||||
\(559\) | −738.298 | −1.32075 | ||||||||
\(560\) | −46.6254 | + | 132.008i | −0.0832596 | + | 0.235728i | ||||
\(561\) | −378.992 | − | 597.204i | −0.675565 | − | 1.06453i | ||||
\(562\) | 22.7229 | − | 84.8031i | 0.0404322 | − | 0.150895i | ||||
\(563\) | −189.279 | − | 706.397i | −0.336196 | − | 1.25470i | −0.902566 | − | 0.430551i | \(-0.858319\pi\) |
0.566370 | − | 0.824151i | \(-0.308347\pi\) | |||||||
\(564\) | −188.779 | + | 7.91099i | −0.334715 | + | 0.0140266i | ||||
\(565\) | 250.173 | + | 62.3670i | 0.442784 | + | 0.110384i | ||||
\(566\) | 57.9764 | 0.102432 | ||||||||
\(567\) | 185.939 | + | 535.645i | 0.327935 | + | 0.944700i | ||||
\(568\) | −173.185 | + | 173.185i | −0.304903 | + | 0.304903i | ||||
\(569\) | 37.1577 | + | 64.3590i | 0.0653035 | + | 0.113109i | 0.896829 | − | 0.442378i | \(-0.145865\pi\) |
−0.831525 | + | 0.555487i | \(0.812532\pi\) | |||||||
\(570\) | −1.26006 | − | 21.2005i | −0.00221063 | − | 0.0371938i | ||||
\(571\) | 320.383 | − | 554.920i | 0.561092 | − | 0.971839i | −0.436310 | − | 0.899797i | \(-0.643715\pi\) |
0.997402 | − | 0.0720429i | \(-0.0229519\pi\) | |||||||
\(572\) | −101.722 | + | 379.632i | −0.177836 | + | 0.663691i | ||||
\(573\) | 116.620 | + | 26.0685i | 0.203526 | + | 0.0454948i | ||||
\(574\) | 17.3313 | − | 181.484i | 0.0301939 | − | 0.316174i | ||||
\(575\) | 242.039 | + | 225.677i | 0.420938 | + | 0.392482i | ||||
\(576\) | −71.7476 | + | 6.02389i | −0.124562 | + | 0.0104581i | ||||
\(577\) | −215.109 | − | 802.797i | −0.372805 | − | 1.39133i | −0.856525 | − | 0.516106i | \(-0.827381\pi\) |
0.483719 | − | 0.875223i | \(-0.339286\pi\) | |||||||
\(578\) | 533.139 | − | 142.854i | 0.922385 | − | 0.247152i | ||||
\(579\) | 2.24532 | − | 4.29484i | 0.00387793 | − | 0.00741768i | ||||
\(580\) | 86.9137 | − | 1.51976i | 0.149851 | − | 0.00262028i | ||||
\(581\) | −94.2330 | − | 67.1043i | −0.162191 | − | 0.115498i | ||||
\(582\) | −31.6967 | − | 7.08527i | −0.0544617 | − | 0.0121740i | ||||
\(583\) | −434.214 | − | 116.347i | −0.744792 | − | 0.199566i | ||||
\(584\) | −254.874 | − | 147.152i | −0.436428 | − | 0.251972i | ||||
\(585\) | −156.274 | + | 964.976i | −0.267135 | + | 1.64953i | ||||
\(586\) | −637.417 | + | 368.013i | −1.08774 | + | 0.628008i | ||||
\(587\) | −62.0401 | − | 62.0401i | −0.105690 | − | 0.105690i | 0.652284 | − | 0.757974i | \(-0.273811\pi\) |
−0.757974 | + | 0.652284i | \(0.773811\pi\) | |||||||
\(588\) | 174.835 | + | 236.366i | 0.297338 | + | 0.401983i | ||||
\(589\) | − | 34.1710i | − | 0.0580153i | ||||||
\(590\) | 623.651 | + | 155.473i | 1.05704 | + | 0.263514i | ||||
\(591\) | 261.260 | − | 10.9484i | 0.442064 | − | 0.0185252i | ||||
\(592\) | 67.8453 | − | 18.1791i | 0.114604 | − | 0.0307079i | ||||
\(593\) | −441.882 | − | 118.402i | −0.745164 | − | 0.199666i | −0.133792 | − | 0.991009i | \(-0.542715\pi\) |
−0.611372 | + | 0.791343i | \(0.709382\pi\) | |||||||
\(594\) | −342.692 | + | 43.2854i | −0.576923 | + | 0.0728711i | ||||
\(595\) | −752.195 | − | 516.068i | −1.26419 | − | 0.867340i | ||||
\(596\) | − | 226.994i | − | 0.380863i | ||||||
\(597\) | 548.472 | − | 171.877i | 0.918713 | − | 0.287901i | ||||
\(598\) | 392.806 | − | 105.252i | 0.656866 | − | 0.176007i | ||||
\(599\) | 369.179 | − | 639.437i | 0.616326 | − | 1.06751i | −0.373824 | − | 0.927500i | \(-0.621954\pi\) |
0.990150 | − | 0.140008i | \(-0.0447130\pi\) | |||||||
\(600\) | −191.313 | − | 91.6487i | −0.318854 | − | 0.152748i | ||||
\(601\) | 975.970i | 1.62391i | 0.583720 | + | 0.811955i | \(0.301597\pi\) | ||||
−0.583720 | + | 0.811955i | \(0.698403\pi\) | |||||||
\(602\) | −214.211 | − | 259.444i | −0.355832 | − | 0.430970i | ||||
\(603\) | −41.4242 | − | 115.065i | −0.0686969 | − | 0.190821i | ||||
\(604\) | 180.766 | − | 104.365i | 0.299281 | − | 0.172790i | ||||
\(605\) | 171.287 | + | 94.9389i | 0.283118 | + | 0.156924i | ||||
\(606\) | 659.330 | − | 27.6299i | 1.08800 | − | 0.0455939i | ||||
\(607\) | −316.958 | − | 84.9286i | −0.522171 | − | 0.139915i | −0.0119003 | − | 0.999929i | \(-0.503788\pi\) |
−0.510271 | + | 0.860014i | \(0.670455\pi\) | |||||||
\(608\) | 4.00466 | − | 4.00466i | 0.00658661 | − | 0.00658661i | ||||
\(609\) | 99.5701 | − | 153.000i | 0.163498 | − | 0.251232i | ||||
\(610\) | −322.996 | + | 334.493i | −0.529502 | + | 0.548349i | ||||
\(611\) | −592.435 | + | 342.043i | −0.969615 | + | 0.559808i | ||||
\(612\) | 83.0826 | − | 461.720i | 0.135756 | − | 0.754445i | ||||
\(613\) | 12.9285 | + | 48.2499i | 0.0210906 | + | 0.0787110i | 0.975669 | − | 0.219249i | \(-0.0703606\pi\) |
−0.954578 | + | 0.297960i | \(0.903694\pi\) | |||||||
\(614\) | −88.0552 | + | 50.8387i | −0.143412 | + | 0.0827992i | ||||
\(615\) | 270.600 | + | 55.5392i | 0.439999 | + | 0.0903077i | ||||
\(616\) | −162.920 | + | 74.4011i | −0.264480 | + | 0.120781i | ||||
\(617\) | −788.450 | + | 788.450i | −1.27788 | + | 1.27788i | −0.336022 | + | 0.941854i | \(0.609082\pi\) |
−0.941854 | + | 0.336022i | \(0.890918\pi\) | |||||||
\(618\) | 242.336 | − | 75.9419i | 0.392130 | − | 0.122883i | ||||
\(619\) | −428.784 | + | 742.675i | −0.692704 | + | 1.19980i | 0.278245 | + | 0.960510i | \(0.410247\pi\) |
−0.970949 | + | 0.239288i | \(0.923086\pi\) | |||||||
\(620\) | −298.524 | − | 165.463i | −0.481490 | − | 0.266875i | ||||
\(621\) | 216.080 | + | 284.686i | 0.347954 | + | 0.458431i | ||||
\(622\) | 98.7787 | − | 98.7787i | 0.158808 | − | 0.158808i | ||||
\(623\) | −320.098 | − | 387.690i | −0.513800 | − | 0.622295i | ||||
\(624\) | −220.100 | + | 139.678i | −0.352724 | + | 0.223842i | ||||
\(625\) | −349.559 | − | 518.105i | −0.559295 | − | 0.828969i | ||||
\(626\) | −269.232 | + | 466.323i | −0.430082 | + | 0.744925i | ||||
\(627\) | 18.3908 | − | 19.9996i | 0.0293315 | − | 0.0318973i | ||||
\(628\) | 104.047 | − | 388.310i | 0.165680 | − | 0.618328i | ||||
\(629\) | 457.659i | 0.727598i | ||||||||
\(630\) | −384.443 | + | 225.064i | −0.610226 | + | 0.357245i | ||||
\(631\) | 373.933 | 0.592604 | 0.296302 | − | 0.955094i | \(-0.404246\pi\) | ||||
0.296302 | + | 0.955094i | \(0.404246\pi\) | |||||||
\(632\) | −218.675 | − | 58.5938i | −0.346005 | − | 0.0927117i | ||||
\(633\) | 750.746 | + | 690.355i | 1.18601 | + | 1.09061i | ||||
\(634\) | −248.159 | − | 143.274i | −0.391417 | − | 0.225985i | ||||
\(635\) | 125.773 | + | 31.3547i | 0.198068 | + | 0.0493775i | ||||
\(636\) | −159.760 | − | 251.745i | −0.251195 | − | 0.395826i | ||||
\(637\) | 957.444 | + | 465.120i | 1.50305 | + | 0.730172i | ||||
\(638\) | 78.6352 | + | 78.6352i | 0.123253 | + | 0.123253i | ||||
\(639\) | −776.600 | + | 65.2029i | −1.21534 | + | 0.102039i | ||||
\(640\) | −15.5941 | − | 54.3767i | −0.0243657 | − | 0.0849636i | ||||
\(641\) | −18.2627 | − | 10.5440i | −0.0284909 | − | 0.0164492i | 0.485687 | − | 0.874133i | \(-0.338570\pi\) |
−0.514178 | + | 0.857684i | \(0.671903\pi\) | |||||||
\(642\) | −123.317 | − | 393.515i | −0.192083 | − | 0.612952i | ||||
\(643\) | −114.721 | − | 114.721i | −0.178416 | − | 0.178416i | 0.612249 | − | 0.790665i | \(-0.290265\pi\) |
−0.790665 | + | 0.612249i | \(0.790265\pi\) | |||||||
\(644\) | 150.956 | + | 107.497i | 0.234404 | + | 0.166921i | ||||
\(645\) | 425.596 | − | 280.644i | 0.659838 | − | 0.435106i | ||||
\(646\) | 18.4508 | + | 31.9578i | 0.0285617 | + | 0.0494703i | ||||
\(647\) | 728.662 | − | 195.244i | 1.12622 | − | 0.301769i | 0.352819 | − | 0.935691i | \(-0.385223\pi\) |
0.773396 | + | 0.633923i | \(0.218556\pi\) | |||||||
\(648\) | −186.745 | − | 132.720i | −0.288186 | − | 0.204814i | ||||
\(649\) | 411.132 | + | 712.102i | 0.633486 | + | 1.09723i | ||||
\(650\) | −767.565 | + | 26.8513i | −1.18087 | + | 0.0413098i | ||||
\(651\) | −638.950 | + | 324.783i | −0.981489 | + | 0.498898i | ||||
\(652\) | 158.487 | + | 158.487i | 0.243078 | + | 0.243078i | ||||
\(653\) | −145.275 | + | 542.173i | −0.222473 | + | 0.830280i | 0.760928 | + | 0.648836i | \(0.224744\pi\) |
−0.983401 | + | 0.181444i | \(0.941923\pi\) | |||||||
\(654\) | 36.9596 | + | 881.964i | 0.0565131 | + | 1.34857i | ||||
\(655\) | 719.530 | + | 398.813i | 1.09852 | + | 0.608875i | ||||
\(656\) | 36.8321 | + | 63.7950i | 0.0561464 | + | 0.0972485i | ||||
\(657\) | −317.206 | − | 881.108i | −0.482809 | − | 1.34111i | ||||
\(658\) | −292.087 | − | 108.946i | −0.443901 | − | 0.165571i | ||||
\(659\) | 69.2421 | 0.105072 | 0.0525358 | − | 0.998619i | \(-0.483270\pi\) | ||||
0.0525358 | + | 0.998619i | \(0.483270\pi\) | |||||||
\(660\) | −85.6683 | − | 257.507i | −0.129800 | − | 0.390163i | ||||
\(661\) | 576.339 | + | 332.749i | 0.871920 | + | 0.503403i | 0.867986 | − | 0.496589i | \(-0.165414\pi\) |
0.00393407 | + | 0.999992i | \(0.498748\pi\) | |||||||
\(662\) | −190.644 | − | 711.494i | −0.287982 | − | 1.07476i | ||||
\(663\) | −507.919 | − | 1620.81i | −0.766092 | − | 2.44466i | ||||
\(664\) | 46.7435 | 0.0703968 | ||||||||
\(665\) | 11.6699 | − | 33.0404i | 0.0175488 | − | 0.0496848i | ||||
\(666\) | 202.226 | + | 95.1634i | 0.303642 | + | 0.142888i | ||||
\(667\) | 29.7813 | − | 111.145i | 0.0446497 | − | 0.166635i | ||||
\(668\) | −165.533 | − | 617.778i | −0.247804 | − | 0.924818i | ||||
\(669\) | −38.1569 | − | 910.535i | −0.0570357 | − | 1.36104i | ||||
\(670\) | 82.3581 | − | 49.4892i | 0.122923 | − | 0.0738645i | ||||
\(671\) | −594.864 | −0.886534 | ||||||||
\(672\) | −112.944 | − | 36.8186i | −0.168072 | − | 0.0547897i | ||||
\(673\) | 331.687 | − | 331.687i | 0.492848 | − | 0.492848i | −0.416355 | − | 0.909202i | \(-0.636692\pi\) |
0.909202 | + | 0.416355i | \(0.136692\pi\) | |||||||
\(674\) | 319.919 | + | 554.116i | 0.474657 | + | 0.822130i | ||||
\(675\) | −276.724 | − | 615.669i | −0.409962 | − | 0.912103i | ||||
\(676\) | −302.902 | + | 524.641i | −0.448080 | + | 0.776097i | ||||
\(677\) | −86.2431 | + | 321.864i | −0.127390 | + | 0.475426i | −0.999914 | − | 0.0131458i | \(-0.995815\pi\) |
0.872523 | + | 0.488572i | \(0.162482\pi\) | |||||||
\(678\) | −47.7258 | + | 213.507i | −0.0703921 | + | 0.314907i | ||||
\(679\) | −43.6508 | − | 31.0842i | −0.0642870 | − | 0.0457794i | ||||
\(680\) | 368.531 | − | 6.44410i | 0.541958 | − | 0.00947662i | ||||
\(681\) | −318.826 | − | 166.681i | −0.468174 | − | 0.244759i | ||||
\(682\) | −113.012 | − | 421.768i | −0.165707 | − | 0.618429i | ||||
\(683\) | 308.844 | − | 82.7545i | 0.452188 | − | 0.121163i | −0.0255353 | − | 0.999674i | \(-0.508129\pi\) |
0.477723 | + | 0.878511i | \(0.341462\pi\) | |||||||
\(684\) | 17.9578 | − | 1.50773i | 0.0262541 | − | 0.00220428i | ||||
\(685\) | 838.018 | + | 809.215i | 1.22338 | + | 1.18134i | ||||
\(686\) | 114.348 | + | 471.405i | 0.166688 | + | 0.687179i | ||||
\(687\) | 5.07061 | − | 22.6839i | 0.00738080 | − | 0.0330188i | ||||
\(688\) | 131.314 | + | 35.1854i | 0.190863 | + | 0.0511415i | ||||
\(689\) | −934.875 | − | 539.750i | −1.35686 | − | 0.783382i | ||||
\(690\) | −186.426 | + | 209.987i | −0.270183 | + | 0.304330i | ||||
\(691\) | 606.389 | − | 350.099i | 0.877553 | − | 0.506656i | 0.00770241 | − | 0.999970i | \(-0.497548\pi\) |
0.869851 | + | 0.493315i | \(0.164215\pi\) | |||||||
\(692\) | −156.991 | − | 156.991i | −0.226865 | − | 0.226865i | ||||
\(693\) | −548.763 | − | 153.794i | −0.791865 | − | 0.221924i | ||||
\(694\) | − | 310.155i | − | 0.446909i | ||||||
\(695\) | −1090.18 | + | 655.090i | −1.56860 | + | 0.942576i | ||||
\(696\) | 3.08828 | + | 73.6953i | 0.00443718 | + | 0.105884i | ||||
\(697\) | −463.624 | + | 124.228i | −0.665170 | + | 0.178232i | ||||
\(698\) | 322.543 | + | 86.4251i | 0.462096 | + | 0.123818i | ||||
\(699\) | −242.581 | + | 153.944i | −0.347040 | + | 0.220235i | ||||
\(700\) | −232.139 | − | 261.938i | −0.331627 | − | 0.374198i | ||||
\(701\) | 722.146i | 1.03017i | 0.857141 | + | 0.515083i | \(0.172239\pi\) | ||||
−0.857141 | + | 0.515083i | \(0.827761\pi\) | |||||||
\(702\) | −821.801 | − | 112.589i | −1.17066 | − | 0.160383i | ||||
\(703\) | −16.9811 | + | 4.55007i | −0.0241552 | + | 0.00647236i | ||||
\(704\) | 36.1845 | − | 62.6734i | 0.0513984 | − | 0.0890247i | ||||
\(705\) | 211.494 | − | 422.370i | 0.299992 | − | 0.599107i | ||||
\(706\) | 382.701i | 0.542070i | ||||||||
\(707\) | 1020.14 | + | 380.504i | 1.44291 | + | 0.538195i | ||||
\(708\) | −118.975 | + | 532.246i | −0.168043 | + | 0.751760i | ||||
\(709\) | 185.418 | − | 107.051i | 0.261520 | − | 0.150989i | −0.363508 | − | 0.931591i | \(-0.618421\pi\) |
0.625028 | + | 0.780603i | \(0.285088\pi\) | |||||||
\(710\) | −168.791 | − | 588.577i | −0.237734 | − | 0.828981i | ||||
\(711\) | −411.115 | − | 591.533i | −0.578221 | − | 0.831973i | ||||
\(712\) | 196.223 | + | 52.5778i | 0.275594 | + | 0.0738452i | ||||
\(713\) | −319.471 | + | 319.471i | −0.448065 | + | 0.448065i | ||||
\(714\) | 422.197 | − | 648.751i | 0.591313 | − | 0.908616i | ||||
\(715\) | −706.815 | − | 682.521i | −0.988552 | − | 0.954575i | ||||
\(716\) | 337.296 | − | 194.738i | 0.471084 | − | 0.271980i | ||||
\(717\) | −48.6328 | − | 44.7208i | −0.0678282 | − | 0.0623721i | ||||
\(718\) | −18.8801 | − | 70.4617i | −0.0262955 | − | 0.0981360i | ||||
\(719\) | 483.185 | − | 278.967i | 0.672023 | − | 0.387993i | −0.124820 | − | 0.992179i | \(-0.539835\pi\) |
0.796843 | + | 0.604187i | \(0.206502\pi\) | |||||||
\(720\) | 73.7832 | − | 164.183i | 0.102477 | − | 0.228032i | ||||
\(721\) | 417.110 | + | 39.8330i | 0.578516 | + | 0.0552469i | ||||
\(722\) | 359.998 | − | 359.998i | 0.498612 | − | 0.498612i | ||||
\(723\) | −253.976 | − | 810.457i | −0.351281 | − | 1.12096i | ||||
\(724\) | −252.910 | + | 438.052i | −0.349323 | + | 0.605044i | ||||
\(725\) | −102.012 | + | 191.886i | −0.140707 | + | 0.264671i | ||||
\(726\) | −76.9887 | + | 147.264i | −0.106045 | + | 0.202842i | ||||
\(727\) | 364.579 | − | 364.579i | 0.501484 | − | 0.501484i | −0.410415 | − | 0.911899i | \(-0.634616\pi\) |
0.911899 | + | 0.410415i | \(0.134616\pi\) | |||||||
\(728\) | −424.145 | + | 71.3195i | −0.582617 | + | 0.0979663i | ||||
\(729\) | −181.268 | − | 706.104i | −0.248653 | − | 0.968593i | ||||
\(730\) | 630.656 | − | 378.963i | 0.863913 | − | 0.519127i | ||||
\(731\) | −442.896 | + | 767.118i | −0.605877 | + | 1.04941i | ||||
\(732\) | −290.428 | − | 267.066i | −0.396760 | − | 0.364844i | ||||
\(733\) | −25.6801 | + | 95.8396i | −0.0350343 | + | 0.130750i | −0.981228 | − | 0.192851i | \(-0.938227\pi\) |
0.946194 | + | 0.323600i | \(0.104893\pi\) | |||||||
\(734\) | 973.782i | 1.32668i | ||||||||
\(735\) | −728.727 | + | 95.8255i | −0.991465 | + | 0.130375i | ||||
\(736\) | −74.8804 | −0.101740 | ||||||||
\(737\) | 118.733 | + | 31.8143i | 0.161103 | + | 0.0431673i | ||||
\(738\) | −41.5112 | + | 230.693i | −0.0562483 | + | 0.312592i | ||||
\(739\) | 134.441 | + | 77.6197i | 0.181923 | + | 0.105033i | 0.588196 | − | 0.808718i | \(-0.299838\pi\) |
−0.406273 | + | 0.913752i | \(0.633172\pi\) | |||||||
\(740\) | −42.4754 | + | 170.382i | −0.0573992 | + | 0.230246i | ||||
\(741\) | 55.0890 | − | 34.9601i | 0.0743442 | − | 0.0471796i | ||||
\(742\) | −81.5736 | − | 485.127i | −0.109937 | − | 0.653810i | ||||
\(743\) | −302.142 | − | 302.142i | −0.406652 | − | 0.406652i | 0.473918 | − | 0.880569i | \(-0.342839\pi\) |
−0.880569 | + | 0.473918i | \(0.842839\pi\) | |||||||
\(744\) | 134.178 | − | 256.656i | 0.180347 | − | 0.344967i | ||||
\(745\) | 496.343 | + | 275.107i | 0.666232 | + | 0.369271i | ||||
\(746\) | −683.677 | − | 394.721i | −0.916457 | − | 0.529116i | ||||
\(747\) | 113.603 | + | 96.0048i | 0.152080 | + | 0.128521i | ||||
\(748\) | 333.429 | + | 333.429i | 0.445761 | + | 0.445761i | ||||
\(749\) | 64.6824 | − | 677.319i | 0.0863584 | − | 0.904297i | ||||
\(750\) | 432.260 | − | 307.247i | 0.576347 | − | 0.409663i | ||||
\(751\) | 159.170 | + | 275.691i | 0.211944 | + | 0.367098i | 0.952323 | − | 0.305092i | \(-0.0986871\pi\) |
−0.740379 | + | 0.672190i | \(0.765354\pi\) | |||||||
\(752\) | 121.671 | − | 32.6017i | 0.161797 | − | 0.0433533i | ||||
\(753\) | −1010.68 | − | 929.378i | −1.34220 | − | 1.23423i | ||||
\(754\) | 133.526 | + | 231.274i | 0.177090 | + | 0.306729i | ||||
\(755\) | 9.12321 | + | 521.746i | 0.0120837 | + | 0.691055i | ||||
\(756\) | −198.874 | − | 321.455i | −0.263061 | − | 0.425204i | ||||
\(757\) | 315.962 | + | 315.962i | 0.417387 | + | 0.417387i | 0.884302 | − | 0.466915i | \(-0.154635\pi\) |
−0.466915 | + | 0.884302i | \(0.654635\pi\) | |||||||
\(758\) | 75.0442 | − | 280.069i | 0.0990028 | − | 0.369484i | ||||
\(759\) | −358.919 | + | 15.0409i | −0.472884 | + | 0.0198167i | ||||
\(760\) | 3.90306 | + | 13.6100i | 0.00513560 | + | 0.0179079i | ||||
\(761\) | −479.802 | − | 831.042i | −0.630489 | − | 1.09204i | −0.987452 | − | 0.157921i | \(-0.949521\pi\) |
0.356963 | − | 0.934119i | \(-0.383812\pi\) | |||||||
\(762\) | −23.9939 | + | 107.340i | −0.0314881 | + | 0.140866i | ||||
\(763\) | −508.987 | + | 1364.61i | −0.667087 | + | 1.78848i | ||||
\(764\) | −79.6657 | −0.104274 | ||||||||
\(765\) | 908.898 | + | 741.252i | 1.18810 | + | 0.968957i | ||||
\(766\) | 17.9830 | + | 10.3825i | 0.0234765 | + | 0.0135541i | ||||
\(767\) | 511.059 | + | 1907.30i | 0.666309 | + | 2.48670i | ||||
\(768\) | 45.8036 | − | 14.3537i | 0.0596401 | − | 0.0186897i | ||||
\(769\) | −10.9601 | −0.0142524 | −0.00712619 | − | 0.999975i | \(-0.502268\pi\) | ||||
−0.00712619 | + | 0.999975i | \(0.502268\pi\) | |||||||
\(770\) | 34.7671 | − | 446.409i | 0.0451521 | − | 0.579751i | ||||
\(771\) | −43.6955 | + | 27.7296i | −0.0566737 | + | 0.0359657i | ||||
\(772\) | −0.836219 | + | 3.12081i | −0.00108318 | + | 0.00404250i | ||||
\(773\) | 280.974 | + | 1048.61i | 0.363485 | + | 1.35655i | 0.869463 | + | 0.493999i | \(0.164465\pi\) |
−0.505978 | + | 0.862547i | \(0.668868\pi\) | |||||||
\(774\) | 246.873 | + | 355.213i | 0.318957 | + | 0.458932i | ||||
\(775\) | 723.596 | − | 452.215i | 0.933673 | − | 0.583503i | ||||
\(776\) | 21.6526 | 0.0279029 | ||||||||
\(777\) | 246.479 | + | 274.275i | 0.317218 | + | 0.352993i | ||||
\(778\) | −213.613 | + | 213.613i | −0.274567 | + | 0.274567i | ||||
\(779\) | −9.21874 | − | 15.9673i | −0.0118341 | − | 0.0204972i | ||||
\(780\) | −38.6658 | − | 650.551i | −0.0495716 | − | 0.834040i | ||||
\(781\) | 391.663 | − | 678.381i | 0.501489 | − | 0.868605i | ||||
\(782\) | 126.279 | − | 471.279i | 0.161482 | − | 0.602658i | ||||
\(783\) | −143.855 | + | 185.449i | −0.183722 | + | 0.236844i | ||||
\(784\) | −148.125 | − | 128.355i | −0.188934 | − | 0.163719i | ||||
\(785\) | 722.972 | + | 698.123i | 0.920984 | + | 0.889329i | ||||
\(786\) | −323.409 | + | 618.615i | −0.411462 | + | 0.787042i | ||||
\(787\) | −403.008 | − | 1504.05i | −0.512081 | − | 1.91111i | −0.397196 | − | 0.917734i | \(-0.630017\pi\) |
−0.114885 | − | 0.993379i | \(-0.536650\pi\) | |||||||
\(788\) | −168.386 | + | 45.1189i | −0.213688 | + | 0.0572575i | ||||
\(789\) | 214.339 | + | 112.055i | 0.271659 | + | 0.142022i | ||||
\(790\) | 393.145 | − | 407.139i | 0.497652 | − | 0.515366i | ||||
\(791\) | −209.381 | + | 294.029i | −0.264704 | + | 0.371718i | ||||
\(792\) | 216.664 | − | 78.0007i | 0.273566 | − | 0.0984858i | ||||
\(793\) | −1379.83 | − | 369.724i | −1.74001 | − | 0.466234i | ||||
\(794\) | −631.677 | − | 364.699i | −0.795563 | − | 0.459319i | ||||
\(795\) | 744.085 | − | 44.2251i | 0.935956 | − | 0.0556290i | ||||
\(796\) | −331.845 | + | 191.591i | −0.416890 | + | 0.240692i | ||||
\(797\) | −364.869 | − | 364.869i | −0.457803 | − | 0.457803i | 0.440131 | − | 0.897934i | \(-0.354932\pi\) |
−0.897934 | + | 0.440131i | \(0.854932\pi\) | |||||||
\(798\) | 28.2689 | + | 9.21538i | 0.0354247 | + | 0.0115481i | ||||
\(799\) | 820.749i | 1.02722i | ||||||||
\(800\) | 137.799 | + | 31.8044i | 0.172248 | + | 0.0397555i | ||||
\(801\) | 368.905 | + | 530.798i | 0.460555 | + | 0.662670i | ||||
\(802\) | 59.1773 | − | 15.8565i | 0.0737871 | − | 0.0197712i | ||||
\(803\) | 909.194 | + | 243.618i | 1.13225 | + | 0.303385i | ||||
\(804\) | 43.6853 | + | 68.8379i | 0.0543349 | + | 0.0856193i | ||||
\(805\) | −418.004 | + | 199.796i | −0.519260 | + | 0.248194i | ||||
\(806\) | − | 1048.56i | − | 1.30094i | ||||||
\(807\) | 335.694 | + | 1071.23i | 0.415978 | + | 1.32742i | ||||
\(808\) | −424.948 | + | 113.865i | −0.525926 | + | 0.140921i | ||||
\(809\) | −634.550 | + | 1099.07i | −0.784364 | + | 1.35856i | 0.145015 | + | 0.989430i | \(0.453677\pi\) |
−0.929378 | + | 0.369128i | \(0.879656\pi\) | |||||||
\(810\) | 516.529 | − | 247.483i | 0.637690 | − | 0.305534i | ||||
\(811\) | − | 435.888i | − | 0.537470i | −0.963214 | − | 0.268735i | \(-0.913394\pi\) | ||
0.963214 | − | 0.268735i | \(-0.0866056\pi\) | |||||||
\(812\) | −42.5300 | + | 114.024i | −0.0523769 | + | 0.140424i | ||||
\(813\) | −1219.49 | − | 272.597i | −1.49999 | − | 0.335298i | ||||
\(814\) | −194.547 | + | 112.322i | −0.239001 | + | 0.137987i | ||||
\(815\) | −538.625 | + | 154.466i | −0.660890 | + | 0.189529i | ||||
\(816\) | 13.0949 | + | 312.483i | 0.0160477 | + | 0.382945i | ||||
\(817\) | −32.8666 | − | 8.80658i | −0.0402284 | − | 0.0107792i | ||||
\(818\) | 359.341 | − | 359.341i | 0.439293 | − | 0.439293i | ||||
\(819\) | −1177.30 | − | 697.805i | −1.43749 | − | 0.852021i | ||||
\(820\) | −184.132 | + | 3.21972i | −0.224551 | + | 0.00392648i | ||||
\(821\) | 1246.41 | − | 719.617i | 1.51816 | − | 0.876513i | 0.518393 | − | 0.855143i | \(-0.326530\pi\) |
0.999772 | − | 0.0213702i | \(-0.00680288\pi\) | |||||||
\(822\) | −669.090 | + | 727.621i | −0.813979 | + | 0.885184i | ||||
\(823\) | 141.064 | + | 526.459i | 0.171403 | + | 0.639683i | 0.997136 | + | 0.0756233i | \(0.0240947\pi\) |
−0.825734 | + | 0.564060i | \(0.809239\pi\) | |||||||
\(824\) | −146.622 | + | 84.6523i | −0.177939 | + | 0.102733i | ||||
\(825\) | 666.889 | + | 124.767i | 0.808350 | + | 0.151232i | ||||
\(826\) | −521.961 | + | 732.978i | −0.631914 | + | 0.887382i | ||||
\(827\) | 693.521 | − | 693.521i | 0.838599 | − | 0.838599i | −0.150076 | − | 0.988674i | \(-0.547952\pi\) |
0.988674 | + | 0.150076i | \(0.0479518\pi\) | |||||||
\(828\) | −181.986 | − | 153.794i | −0.219790 | − | 0.185742i | ||||
\(829\) | 178.587 | − | 309.322i | 0.215425 | − | 0.373127i | −0.737979 | − | 0.674824i | \(-0.764220\pi\) |
0.953404 | + | 0.301697i | \(0.0975530\pi\) | |||||||
\(830\) | −56.6511 | + | 102.209i | −0.0682543 | + | 0.123143i | ||||
\(831\) | 379.061 | + | 198.171i | 0.456150 | + | 0.238473i | ||||
\(832\) | 122.886 | − | 122.886i | 0.147699 | − | 0.147699i | ||||
\(833\) | 1057.64 | − | 715.800i | 1.26967 | − | 0.859303i | ||||
\(834\) | −578.264 | − | 911.210i | −0.693362 | − | 1.09258i | ||||
\(835\) | 1551.45 | + | 386.768i | 1.85802 | + | 0.463195i | ||||
\(836\) | −9.05666 | + | 15.6866i | −0.0108333 | + | 0.0187639i | ||||
\(837\) | 853.238 | − | 348.181i | 1.01940 | − | 0.415987i | ||||
\(838\) | −103.138 | + | 384.918i | −0.123077 | + | 0.459329i | ||||
\(839\) | − | 3.74531i | − | 0.00446402i | −0.999998 | − | 0.00223201i | \(-0.999290\pi\) | ||
0.999998 | − | 0.00223201i | \(-0.000710472\pi\) | |||||||
\(840\) | 217.391 | − | 202.340i | 0.258798 | − | 0.240880i | ||||
\(841\) | −765.437 | −0.910151 | ||||||||
\(842\) | 789.224 | + | 211.472i | 0.937321 | + | 0.251154i | ||||
\(843\) | −126.063 | + | 137.090i | −0.149540 | + | 0.162622i | ||||
\(844\) | −588.844 | − | 339.969i | −0.697682 | − | 0.402807i | ||||
\(845\) | −780.070 | − | 1298.16i | −0.923160 | − | 1.53629i | ||||
\(846\) | 362.664 | + | 170.662i | 0.428681 | + | 0.201729i | ||||
\(847\) | −211.422 | + | 174.561i | −0.249613 | + | 0.206094i | ||||
\(848\) | 140.554 | + | 140.554i | 0.165747 | + | 0.165747i | ||||
\(849\) | −108.991 | − | 56.9798i | −0.128375 | − | 0.0671141i | ||||
\(850\) | −432.553 | + | 813.636i | −0.508886 | + | 0.957219i | ||||
\(851\) | 201.298 | + | 116.220i | 0.236543 | + | 0.136568i | ||||
\(852\) | 495.781 | − | 155.365i | 0.581903 | − | 0.182353i | ||||
\(853\) | −57.6962 | − | 57.6962i | −0.0676391 | − | 0.0676391i | 0.672478 | − | 0.740117i | \(-0.265230\pi\) |
−0.740117 | + | 0.672478i | \(0.765230\pi\) | |||||||
\(854\) | −270.422 | − | 592.155i | −0.316653 | − | 0.693391i | ||||
\(855\) | −18.4673 | + | 41.0935i | −0.0215991 | + | 0.0480626i | ||||
\(856\) | 137.462 | + | 238.091i | 0.160586 | + | 0.278143i | ||||
\(857\) | 535.847 | − | 143.580i | 0.625259 | − | 0.167538i | 0.0677415 | − | 0.997703i | \(-0.478421\pi\) |
0.557517 | + | 0.830165i | \(0.311754\pi\) | |||||||
\(858\) | 564.335 | − | 613.702i | 0.657733 | − | 0.715270i | ||||
\(859\) | −320.604 | − | 555.303i | −0.373230 | − | 0.646453i | 0.616831 | − | 0.787096i | \(-0.288416\pi\) |
−0.990060 | + | 0.140643i | \(0.955083\pi\) | |||||||
\(860\) | −236.082 | + | 244.485i | −0.274514 | + | 0.284285i | ||||
\(861\) | −210.946 | + | 324.141i | −0.245001 | + | 0.376470i | ||||
\(862\) | 118.651 | + | 118.651i | 0.137646 | + | 0.137646i | ||||
\(863\) | −47.2761 | + | 176.437i | −0.0547811 | + | 0.204446i | −0.987892 | − | 0.155143i | \(-0.950416\pi\) |
0.933111 | + | 0.359589i | \(0.117083\pi\) | |||||||
\(864\) | 140.800 | + | 59.1899i | 0.162963 | + | 0.0685068i | ||||
\(865\) | 533.540 | − | 153.008i | 0.616810 | − | 0.176888i | ||||
\(866\) | 26.5938 | + | 46.0617i | 0.0307087 | + | 0.0531891i | ||||
\(867\) | −1142.65 | − | 255.421i | −1.31794 | − | 0.294603i | ||||
\(868\) | 368.473 | − | 304.231i | 0.424508 | − | 0.350497i | ||||
\(869\) | 724.058 | 0.833208 | ||||||||
\(870\) | −164.884 | − | 82.5627i | −0.189522 | − | 0.0948997i | ||||
\(871\) | 255.635 | + | 147.591i | 0.293496 | + | 0.169450i | ||||
\(872\) | −152.313 | − | 568.439i | −0.174671 | − | 0.651880i | ||||
\(873\) | 52.6237 | + | 44.4716i | 0.0602791 | + | 0.0509411i | ||||
\(874\) | 18.7419 | 0.0214438 | ||||||||
\(875\) | 854.093 | − | 190.133i | 0.976106 | − | 0.217295i | ||||
\(876\) | 334.519 | + | 527.126i | 0.381872 | + | 0.601742i | ||||
\(877\) | −266.497 | + | 994.580i | −0.303873 | + | 1.13407i | 0.630038 | + | 0.776565i | \(0.283039\pi\) |
−0.933911 | + | 0.357506i | \(0.883627\pi\) | |||||||
\(878\) | −95.3405 | − | 355.816i | −0.108588 | − | 0.405257i | ||||
\(879\) | 1559.98 | − | 65.3724i | 1.77472 | − | 0.0743714i | ||||
\(880\) | 93.1868 | + | 155.078i | 0.105894 | + | 0.176225i | ||||
\(881\) | −609.210 | −0.691499 | −0.345749 | − | 0.938327i | \(-0.612375\pi\) | ||||
−0.345749 | + | 0.938327i | \(0.612375\pi\) | |||||||
\(882\) | −96.3709 | − | 616.177i | −0.109264 | − | 0.698614i | ||||
\(883\) | 223.845 | − | 223.845i | 0.253505 | − | 0.253505i | −0.568901 | − | 0.822406i | \(-0.692631\pi\) |
0.822406 | + | 0.568901i | \(0.192631\pi\) | |||||||
\(884\) | 566.176 | + | 980.646i | 0.640471 | + | 1.10933i | ||||
\(885\) | −1019.61 | − | 905.207i | −1.15210 | − | 1.02283i | ||||
\(886\) | 171.773 | − | 297.520i | 0.193875 | − | 0.335801i | ||||
\(887\) | −172.785 | + | 644.844i | −0.194798 | + | 0.726994i | 0.797522 | + | 0.603290i | \(0.206144\pi\) |
−0.992319 | + | 0.123704i | \(0.960523\pi\) | |||||||
\(888\) | −145.410 | − | 32.5040i | −0.163750 | − | 0.0366036i | ||||
\(889\) | −105.265 | + | 147.822i | −0.118409 | + | 0.166279i | ||||
\(890\) | −352.780 | + | 365.337i | −0.396382 | + | 0.410491i | ||||
\(891\) | 686.774 | + | 255.429i | 0.770790 | + | 0.286677i | ||||
\(892\) | 157.247 | + | 586.854i | 0.176286 | + | 0.657908i | ||||
\(893\) | −30.4532 | + | 8.15992i | −0.0341022 | + | 0.00913765i | ||||
\(894\) | −223.093 | + | 426.730i | −0.249544 | + | 0.477327i | ||||
\(895\) | 17.0232 | + | 973.541i | 0.0190204 | + | 1.08776i | ||||
\(896\) | 78.8373 | + | 7.52878i | 0.0879880 | + | 0.00840266i | ||||
\(897\) | −841.885 | − | 188.189i | −0.938556 | − | 0.209798i | ||||
\(898\) | 69.0971 | + | 18.5145i | 0.0769455 | + | 0.0206175i | ||||
\(899\) | −256.943 | − | 148.346i | −0.285810 | − | 0.165013i | ||||
\(900\) | 269.578 | + | 360.316i | 0.299531 | + | 0.400351i | ||||
\(901\) | −1121.64 | + | 647.579i | −1.24488 | + | 0.718734i | ||||
\(902\) | −166.594 | − | 166.594i | −0.184694 | − | 0.184694i | ||||
\(903\) | 147.714 | + | 698.262i | 0.163582 | + | 0.773269i | ||||
\(904\) | − | 145.851i | − | 0.161339i | ||||||
\(905\) | −651.324 | − | 1083.91i | −0.719695 | − | 1.19769i | ||||
\(906\) | −442.396 | + | 18.5391i | −0.488296 | + | 0.0204625i | ||||
\(907\) | −1071.99 | + | 287.239i | −1.18191 | + | 0.316691i | −0.795683 | − | 0.605714i | \(-0.792888\pi\) |
−0.386224 | + | 0.922405i | \(0.626221\pi\) | |||||||
\(908\) | 231.673 | + | 62.0765i | 0.255146 | + | 0.0683662i | ||||
\(909\) | −1266.64 | − | 596.055i | −1.39344 | − | 0.655726i | ||||
\(910\) | 358.099 | − | 1013.87i | 0.393516 | − | 1.11414i | ||||
\(911\) | 69.0532i | 0.0757994i | 0.999282 | + | 0.0378997i | \(0.0120667\pi\) | ||||
−0.999282 | + | 0.0378997i | \(0.987933\pi\) | |||||||
\(912\) | −11.4642 | + | 3.59259i | −0.0125704 | + | 0.00393925i | ||||
\(913\) | −144.405 | + | 38.6932i | −0.158166 | + | 0.0423803i | ||||
\(914\) | 91.2930 | − | 158.124i | 0.0998829 | − | 0.173002i | ||||
\(915\) | 935.949 | − | 311.374i | 1.02290 | − | 0.340300i | ||||
\(916\) | 15.4958i | 0.0169168i | ||||||||
\(917\) | −888.127 | + | 733.286i | −0.968514 | + | 0.799658i | ||||
\(918\) | −609.972 | + | 786.340i | −0.664458 | + | 0.856580i | ||||
\(919\) | −326.092 | + | 188.269i | −0.354833 | + | 0.204863i | −0.666812 | − | 0.745226i | \(-0.732342\pi\) |
0.311979 | + | 0.950089i | \(0.399008\pi\) | |||||||
\(920\) | 90.7518 | − | 163.733i | 0.0986433 | − | 0.177970i | ||||
\(921\) | 215.501 | − | 9.03080i | 0.233986 | − | 0.00980543i | ||||
\(922\) | −438.266 | − | 117.433i | −0.475343 | − | 0.127368i | ||||
\(923\) | 1330.12 | − | 1330.12i | 1.44108 | − | 1.44108i | ||||
\(924\) | 379.397 | + | 20.2515i | 0.410603 | + | 0.0219172i | ||||
\(925\) | −321.077 | − | 299.372i | −0.347110 | − | 0.323645i | ||||
\(926\) | 82.6103 | − | 47.6951i | 0.0892120 | − | 0.0515066i | ||||
\(927\) | −530.208 | − | 95.4065i | −0.571962 | − | 0.102920i | ||||
\(928\) | −12.7270 | − | 47.4978i | −0.0137144 | − | 0.0511829i | ||||
\(929\) | 674.041 | − | 389.158i | 0.725555 | − | 0.418899i | −0.0912387 | − | 0.995829i | \(-0.529083\pi\) |
0.816794 | + | 0.576930i | \(0.195749\pi\) | |||||||
\(930\) | 398.581 | + | 604.448i | 0.428582 | + | 0.649944i | ||||
\(931\) | 37.0742 | + | 32.1262i | 0.0398220 | + | 0.0345072i | ||||
\(932\) | 135.437 | − | 135.437i | 0.145319 | − | 0.145319i | ||||
\(933\) | −282.776 | + | 88.6148i | −0.303083 | + | 0.0949783i | ||||
\(934\) | 132.321 | − | 229.187i | 0.141671 | − | 0.245382i | ||||
\(935\) | −1133.17 | + | 324.970i | −1.21195 | + | 0.347561i | ||||
\(936\) | 551.046 | − | 46.2656i | 0.588725 | − | 0.0494290i | ||||
\(937\) | 311.705 | − | 311.705i | 0.332662 | − | 0.332662i | −0.520934 | − | 0.853597i | \(-0.674416\pi\) |
0.853597 | + | 0.520934i | \(0.174416\pi\) | |||||||
\(938\) | 22.3057 | + | 132.655i | 0.0237801 | + | 0.141423i | ||||
\(939\) | 964.440 | − | 612.043i | 1.02709 | − | 0.651804i | ||||
\(940\) | −76.1738 | + | 305.557i | −0.0810360 | + | 0.325060i | ||||
\(941\) | −890.663 | + | 1542.67i | −0.946507 | + | 1.63940i | −0.193803 | + | 0.981041i | \(0.562082\pi\) |
−0.752705 | + | 0.658358i | \(0.771251\pi\) | |||||||
\(942\) | −577.235 | + | 627.731i | −0.612776 | + | 0.666381i | ||||
\(943\) | −63.0936 | + | 235.469i | −0.0669074 | + | 0.249702i | ||||
\(944\) | − | 363.587i | − | 0.385156i | ||||||
\(945\) | 943.915 | − | 45.2668i | 0.998852 | − | 0.0479013i | ||||
\(946\) | −434.794 | −0.459613 | ||||||||
\(947\) | 1318.85 | + | 353.385i | 1.39266 | + | 0.373163i | 0.875705 | − | 0.482847i | \(-0.160397\pi\) |
0.516959 | + | 0.856010i | \(0.327064\pi\) | |||||||
\(948\) | 353.504 | + | 325.068i | 0.372895 | + | 0.342899i | ||||
\(949\) | 1957.52 | + | 1130.18i | 2.06272 | + | 1.19091i | ||||
\(950\) | −34.4898 | − | 7.96035i | −0.0363050 | − | 0.00837932i | ||||
\(951\) | 325.706 | + | 513.237i | 0.342487 | + | 0.539681i | ||||
\(952\) | −180.336 | + | 483.486i | −0.189429 | + | 0.507863i | ||||
\(953\) | 538.536 | + | 538.536i | 0.565095 | + | 0.565095i | 0.930750 | − | 0.365655i | \(-0.119155\pi\) |
−0.365655 | + | 0.930750i | \(0.619155\pi\) | |||||||
\(954\) | 52.9175 | + | 630.274i | 0.0554691 | + | 0.660664i | ||||
\(955\) | 96.5514 | − | 174.196i | 0.101101 | − | 0.182404i | ||||
\(956\) | 38.1449 | + | 22.0230i | 0.0399005 | + | 0.0230366i | ||||
\(957\) | −70.5440 | − | 225.111i | −0.0737137 | − | 0.235226i | ||||
\(958\) | −10.4875 | − | 10.4875i | −0.0109473 | − | 0.0109473i | ||||
\(959\) | −1483.55 | + | 677.498i | −1.54698 | + | 0.706463i | ||||
\(960\) | −24.1265 | + | 117.550i | −0.0251317 | + | 0.122448i | ||||
\(961\) | 101.972 | + | 176.621i | 0.106110 | + | 0.183788i | ||||
\(962\) | −521.076 | + | 139.622i | −0.541659 | + | 0.145137i | ||||
\(963\) | −154.925 | + | 860.973i | −0.160877 | + | 0.894053i | ||||
\(964\) | 283.107 | + | 490.355i | 0.293679 | + | 0.508667i | ||||
\(965\) | −5.81046 | − | 5.61075i | −0.00602120 | − | 0.00581425i | ||||
\(966\) | −178.135 | − | 350.447i | −0.184405 | − | 0.362782i | ||||
\(967\) | 523.337 | + | 523.337i | 0.541197 | + | 0.541197i | 0.923880 | − | 0.382683i | \(-0.125000\pi\) |
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(968\) | 28.6727 | − | 107.008i | 0.0296205 | − | 0.110545i | ||||
\(969\) | −3.27754 | − | 78.2116i | −0.00338239 | − | 0.0807138i | ||||
\(970\) | −26.2421 | + | 47.3454i | −0.0270537 | + | 0.0488097i | ||||
\(971\) | −6.60039 | − | 11.4322i | −0.00679752 | − | 0.0117736i | 0.862607 | − | 0.505875i | \(-0.168830\pi\) |
−0.869404 | + | 0.494102i | \(0.835497\pi\) | |||||||
\(972\) | 220.626 | + | 433.036i | 0.226981 | + | 0.445510i | ||||
\(973\) | −295.261 | − | 1755.95i | −0.303455 | − | 1.80468i | ||||
\(974\) | −938.842 | −0.963903 | ||||||||
\(975\) | 1469.35 | + | 703.893i | 1.50702 | + | 0.721942i | ||||
\(976\) | 227.796 | + | 131.518i | 0.233397 | + | 0.134752i | ||||
\(977\) | −96.6859 | − | 360.837i | −0.0989620 | − | 0.369331i | 0.898628 | − | 0.438711i | \(-0.144565\pi\) |
−0.997590 | + | 0.0693795i | \(0.977898\pi\) | |||||||
\(978\) | −142.179 | − | 453.705i | −0.145378 | − | 0.463911i | ||||
\(979\) | −649.716 | −0.663653 | ||||||||
\(980\) | 460.181 | − | 168.326i | 0.469572 | − | 0.171761i | ||||
\(981\) | 797.323 | − | 1694.34i | 0.812765 | − | 1.72716i | ||||
\(982\) | 51.9546 | − | 193.897i | 0.0529069 | − | 0.197451i | ||||
\(983\) | −91.1039 | − | 340.004i | −0.0926795 | − | 0.345885i | 0.903978 | − | 0.427579i | \(-0.140633\pi\) |
−0.996657 | + | 0.0816946i | \(0.973967\pi\) | |||||||
\(984\) | −6.54271 | − | 156.128i | −0.00664910 | − | 0.158667i | ||||
\(985\) | 105.420 | − | 422.873i | 0.107026 | − | 0.429313i | ||||
\(986\) | 320.402 | 0.324951 | ||||||||
\(987\) | 442.025 | + | 491.875i | 0.447847 | + | 0.498354i | ||||
\(988\) | −30.7572 | + | 30.7572i | −0.0311307 | + | 0.0311307i | ||||
\(989\) | 224.941 | + | 389.610i | 0.227443 | + | 0.393943i | ||||
\(990\) | −92.0320 | + | 568.288i | −0.0929617 | + | 0.574028i | ||||
\(991\) | −254.222 | + | 440.325i | −0.256531 | + | 0.444324i | −0.965310 | − | 0.261106i | \(-0.915913\pi\) |
0.708780 | + | 0.705430i | \(0.249246\pi\) | |||||||
\(992\) | −49.9717 | + | 186.497i | −0.0503747 | + | 0.188001i | ||||
\(993\) | −340.869 | + | 1524.92i | −0.343272 | + | 1.53567i | ||||
\(994\) | 853.340 | + | 81.4920i | 0.858490 | + | 0.0819839i | ||||
\(995\) | −16.7481 | − | 957.807i | −0.0168323 | − | 0.962620i | ||||
\(996\) | −87.8738 | − | 45.9400i | −0.0882267 | − | 0.0461245i | ||||
\(997\) | −239.874 | − | 895.222i | −0.240596 | − | 0.897916i | −0.975546 | − | 0.219795i | \(-0.929461\pi\) |
0.734950 | − | 0.678121i | \(-0.237205\pi\) | |||||||
\(998\) | 364.316 | − | 97.6181i | 0.365046 | − | 0.0978138i | ||||
\(999\) | −286.640 | − | 377.649i | −0.286927 | − | 0.378027i |
(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 | 210.3.w.b.17.4 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.7 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.13 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.2 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.2 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.13 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.7 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.7 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.13 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.13 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.7 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.4 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.2 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.2 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.4 | yes | 64 | 105.68 | odd | 12 | inner |