Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(17,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bi (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 257.17 | ||
Character | \(\chi\) | \(=\) | 546.257 |
Dual form | 546.2.bi.e.17.17 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 1.72971 | + | 0.0900624i | 0.998647 | + | 0.0519975i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.98183 | − | 1.14421i | −0.886302 | − | 0.511707i | −0.0135708 | − | 0.999908i | \(-0.504320\pi\) |
−0.872731 | + | 0.488201i | \(0.837653\pi\) | |||||||
\(6\) | −1.72971 | − | 0.0900624i | −0.706150 | − | 0.0367678i | ||||
\(7\) | −0.877809 | − | 2.49589i | −0.331781 | − | 0.943357i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.98378 | + | 0.311563i | 0.994593 | + | 0.103854i | ||||
\(10\) | 1.98183 | + | 1.14421i | 0.626710 | + | 0.361831i | ||||
\(11\) | −0.148570 | + | 0.257331i | −0.0447956 | + | 0.0775883i | −0.887554 | − | 0.460704i | \(-0.847597\pi\) |
0.842758 | + | 0.538292i | \(0.180930\pi\) | |||||||
\(12\) | 1.72971 | + | 0.0900624i | 0.499324 | + | 0.0259988i | ||||
\(13\) | 3.20028 | + | 1.66078i | 0.887599 | + | 0.460618i | ||||
\(14\) | 0.877809 | + | 2.49589i | 0.234604 | + | 0.667054i | ||||
\(15\) | −3.32494 | − | 2.15764i | −0.858495 | − | 0.557100i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0.893327 | 0.216664 | 0.108332 | − | 0.994115i | \(-0.465449\pi\) | ||||
0.108332 | + | 0.994115i | \(0.465449\pi\) | |||||||
\(18\) | −2.98378 | − | 0.311563i | −0.703283 | − | 0.0734362i | ||||
\(19\) | −3.94533 | − | 6.83352i | −0.905122 | − | 1.56772i | −0.820754 | − | 0.571282i | \(-0.806446\pi\) |
−0.0843680 | − | 0.996435i | \(-0.526887\pi\) | |||||||
\(20\) | −1.98183 | − | 1.14421i | −0.443151 | − | 0.255853i | ||||
\(21\) | −1.29357 | − | 4.39621i | −0.282280 | − | 0.959332i | ||||
\(22\) | 0.148570 | − | 0.257331i | 0.0316753 | − | 0.0548632i | ||||
\(23\) | − | 7.81240i | − | 1.62900i | −0.580165 | − | 0.814499i | \(-0.697012\pi\) | ||
0.580165 | − | 0.814499i | \(-0.302988\pi\) | |||||||
\(24\) | −1.72971 | − | 0.0900624i | −0.353075 | − | 0.0183839i | ||||
\(25\) | 0.118437 | + | 0.205138i | 0.0236873 | + | 0.0410277i | ||||
\(26\) | −3.20028 | − | 1.66078i | −0.627627 | − | 0.325706i | ||||
\(27\) | 5.13300 | + | 0.807639i | 0.987847 | + | 0.155430i | ||||
\(28\) | −0.877809 | − | 2.49589i | −0.165890 | − | 0.471678i | ||||
\(29\) | −0.980947 | + | 0.566350i | −0.182157 | + | 0.105169i | −0.588306 | − | 0.808639i | \(-0.700205\pi\) |
0.406149 | + | 0.913807i | \(0.366872\pi\) | |||||||
\(30\) | 3.32494 | + | 2.15764i | 0.607048 | + | 0.393929i | ||||
\(31\) | −0.839051 | − | 1.45328i | −0.150698 | − | 0.261017i | 0.780786 | − | 0.624798i | \(-0.214819\pi\) |
−0.931484 | + | 0.363782i | \(0.881485\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.280159 | + | 0.431727i | −0.0487694 | + | 0.0751541i | ||||
\(34\) | −0.893327 | −0.153204 | ||||||||
\(35\) | −1.11615 | + | 5.95083i | −0.188664 | + | 1.00587i | ||||
\(36\) | 2.98378 | + | 0.311563i | 0.497296 | + | 0.0519272i | ||||
\(37\) | − | 4.99903i | − | 0.821835i | −0.911673 | − | 0.410918i | \(-0.865208\pi\) | ||
0.911673 | − | 0.410918i | \(-0.134792\pi\) | |||||||
\(38\) | 3.94533 | + | 6.83352i | 0.640018 | + | 1.10854i | ||||
\(39\) | 5.38598 | + | 3.16089i | 0.862447 | + | 0.506148i | ||||
\(40\) | 1.98183 | + | 1.14421i | 0.313355 | + | 0.180916i | ||||
\(41\) | 6.52086 | − | 3.76482i | 1.01839 | − | 0.587966i | 0.104751 | − | 0.994498i | \(-0.466595\pi\) |
0.913636 | + | 0.406532i | \(0.133262\pi\) | |||||||
\(42\) | 1.29357 | + | 4.39621i | 0.199602 | + | 0.678350i | ||||
\(43\) | −1.94207 | + | 3.36377i | −0.296163 | + | 0.512970i | −0.975255 | − | 0.221084i | \(-0.929041\pi\) |
0.679092 | + | 0.734054i | \(0.262374\pi\) | |||||||
\(44\) | −0.148570 | + | 0.257331i | −0.0223978 | + | 0.0387942i | ||||
\(45\) | −5.55685 | − | 4.03154i | −0.828366 | − | 0.600986i | ||||
\(46\) | 7.81240i | 1.15188i | ||||||||
\(47\) | 5.21062 | + | 3.00835i | 0.760047 | + | 0.438813i | 0.829313 | − | 0.558785i | \(-0.188732\pi\) |
−0.0692655 | + | 0.997598i | \(0.522066\pi\) | |||||||
\(48\) | 1.72971 | + | 0.0900624i | 0.249662 | + | 0.0129994i | ||||
\(49\) | −5.45890 | + | 4.38183i | −0.779843 | + | 0.625975i | ||||
\(50\) | −0.118437 | − | 0.205138i | −0.0167495 | − | 0.0290109i | ||||
\(51\) | 1.54520 | + | 0.0804552i | 0.216371 | + | 0.0112660i | ||||
\(52\) | 3.20028 | + | 1.66078i | 0.443799 | + | 0.230309i | ||||
\(53\) | −6.28351 | + | 3.62779i | −0.863107 | + | 0.498315i | −0.865051 | − | 0.501683i | \(-0.832714\pi\) |
0.00194455 | + | 0.999998i | \(0.499381\pi\) | |||||||
\(54\) | −5.13300 | − | 0.807639i | −0.698513 | − | 0.109906i | ||||
\(55\) | 0.588883 | − | 0.339992i | 0.0794049 | − | 0.0458444i | ||||
\(56\) | 0.877809 | + | 2.49589i | 0.117302 | + | 0.333527i | ||||
\(57\) | −6.20883 | − | 12.1753i | −0.822380 | − | 1.61266i | ||||
\(58\) | 0.980947 | − | 0.566350i | 0.128805 | − | 0.0743654i | ||||
\(59\) | 6.02418i | 0.784281i | 0.919905 | + | 0.392141i | \(0.128265\pi\) | ||||
−0.919905 | + | 0.392141i | \(0.871735\pi\) | |||||||
\(60\) | −3.32494 | − | 2.15764i | −0.429248 | − | 0.278550i | ||||
\(61\) | 7.31581 | − | 4.22379i | 0.936694 | − | 0.540800i | 0.0477714 | − | 0.998858i | \(-0.484788\pi\) |
0.888922 | + | 0.458058i | \(0.151455\pi\) | |||||||
\(62\) | 0.839051 | + | 1.45328i | 0.106560 | + | 0.184567i | ||||
\(63\) | −1.84156 | − | 7.72066i | −0.232015 | − | 0.972712i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −4.44214 | − | 6.95319i | −0.550979 | − | 0.862436i | ||||
\(66\) | 0.280159 | − | 0.431727i | 0.0344852 | − | 0.0531420i | ||||
\(67\) | 2.94347 | + | 1.69941i | 0.359602 | + | 0.207617i | 0.668906 | − | 0.743347i | \(-0.266763\pi\) |
−0.309304 | + | 0.950963i | \(0.600096\pi\) | |||||||
\(68\) | 0.893327 | 0.108332 | ||||||||
\(69\) | 0.703603 | − | 13.5132i | 0.0847039 | − | 1.62679i | ||||
\(70\) | 1.11615 | − | 5.95083i | 0.133406 | − | 0.711260i | ||||
\(71\) | −1.14995 | + | 1.99178i | −0.136474 | + | 0.236381i | −0.926160 | − | 0.377131i | \(-0.876910\pi\) |
0.789685 | + | 0.613512i | \(0.210244\pi\) | |||||||
\(72\) | −2.98378 | − | 0.311563i | −0.351642 | − | 0.0367181i | ||||
\(73\) | 6.16302 | + | 10.6747i | 0.721327 | + | 1.24937i | 0.960468 | + | 0.278390i | \(0.0898007\pi\) |
−0.239141 | + | 0.970985i | \(0.576866\pi\) | |||||||
\(74\) | 4.99903i | 0.581125i | ||||||||
\(75\) | 0.186386 | + | 0.365496i | 0.0215220 | + | 0.0422038i | ||||
\(76\) | −3.94533 | − | 6.83352i | −0.452561 | − | 0.783858i | ||||
\(77\) | 0.772686 | + | 0.144927i | 0.0880558 | + | 0.0165159i | ||||
\(78\) | −5.38598 | − | 3.16089i | −0.609842 | − | 0.357900i | ||||
\(79\) | 4.46469 | − | 7.73307i | 0.502317 | − | 0.870039i | −0.497679 | − | 0.867361i | \(-0.665814\pi\) |
0.999996 | − | 0.00267764i | \(-0.000852321\pi\) | |||||||
\(80\) | −1.98183 | − | 1.14421i | −0.221575 | − | 0.127927i | ||||
\(81\) | 8.80586 | + | 1.85927i | 0.978429 | + | 0.206586i | ||||
\(82\) | −6.52086 | + | 3.76482i | −0.720109 | + | 0.415755i | ||||
\(83\) | 1.54870i | 0.169992i | 0.996381 | + | 0.0849962i | \(0.0270878\pi\) | ||||
−0.996381 | + | 0.0849962i | \(0.972912\pi\) | |||||||
\(84\) | −1.29357 | − | 4.39621i | −0.141140 | − | 0.479666i | ||||
\(85\) | −1.77042 | − | 1.02215i | −0.192029 | − | 0.110868i | ||||
\(86\) | 1.94207 | − | 3.36377i | 0.209419 | − | 0.362725i | ||||
\(87\) | −1.74776 | + | 0.891273i | −0.187379 | + | 0.0955545i | ||||
\(88\) | 0.148570 | − | 0.257331i | 0.0158376 | − | 0.0274316i | ||||
\(89\) | 14.3106i | 1.51692i | 0.651720 | + | 0.758460i | \(0.274048\pi\) | ||||
−0.651720 | + | 0.758460i | \(0.725952\pi\) | |||||||
\(90\) | 5.55685 | + | 4.03154i | 0.585743 | + | 0.424961i | ||||
\(91\) | 1.33588 | − | 9.44539i | 0.140039 | − | 0.990146i | ||||
\(92\) | − | 7.81240i | − | 0.814499i | ||||||
\(93\) | −1.32043 | − | 2.58932i | −0.136922 | − | 0.268500i | ||||
\(94\) | −5.21062 | − | 3.00835i | −0.537435 | − | 0.310288i | ||||
\(95\) | 18.0572i | 1.85263i | ||||||||
\(96\) | −1.72971 | − | 0.0900624i | −0.176538 | − | 0.00919195i | ||||
\(97\) | −1.19346 | + | 2.06713i | −0.121178 | + | 0.209886i | −0.920232 | − | 0.391373i | \(-0.872000\pi\) |
0.799055 | + | 0.601258i | \(0.205334\pi\) | |||||||
\(98\) | 5.45890 | − | 4.38183i | 0.551432 | − | 0.442631i | ||||
\(99\) | −0.523476 | + | 0.721530i | −0.0526113 | + | 0.0725165i | ||||
\(100\) | 0.118437 | + | 0.205138i | 0.0118437 | + | 0.0205138i | ||||
\(101\) | 9.38860 | − | 16.2615i | 0.934200 | − | 1.61808i | 0.158146 | − | 0.987416i | \(-0.449448\pi\) |
0.776054 | − | 0.630666i | \(-0.217218\pi\) | |||||||
\(102\) | −1.54520 | − | 0.0804552i | −0.152997 | − | 0.00796625i | ||||
\(103\) | −12.3898 | − | 7.15323i | −1.22080 | − | 0.704828i | −0.255710 | − | 0.966753i | \(-0.582309\pi\) |
−0.965088 | + | 0.261925i | \(0.915643\pi\) | |||||||
\(104\) | −3.20028 | − | 1.66078i | −0.313813 | − | 0.162853i | ||||
\(105\) | −2.46656 | + | 10.1927i | −0.240712 | + | 0.994702i | ||||
\(106\) | 6.28351 | − | 3.62779i | 0.610309 | − | 0.352362i | ||||
\(107\) | 16.6853i | 1.61303i | 0.591212 | + | 0.806516i | \(0.298650\pi\) | ||||
−0.591212 | + | 0.806516i | \(0.701350\pi\) | |||||||
\(108\) | 5.13300 | + | 0.807639i | 0.493923 | + | 0.0777151i | ||||
\(109\) | −9.70354 | + | 5.60234i | −0.929431 | + | 0.536607i | −0.886632 | − | 0.462476i | \(-0.846961\pi\) |
−0.0427994 | + | 0.999084i | \(0.513628\pi\) | |||||||
\(110\) | −0.588883 | + | 0.339992i | −0.0561478 | + | 0.0324169i | ||||
\(111\) | 0.450224 | − | 8.64686i | 0.0427334 | − | 0.820723i | ||||
\(112\) | −0.877809 | − | 2.49589i | −0.0829452 | − | 0.235839i | ||||
\(113\) | −7.27033 | − | 4.19753i | −0.683935 | − | 0.394870i | 0.117401 | − | 0.993085i | \(-0.462544\pi\) |
−0.801336 | + | 0.598214i | \(0.795877\pi\) | |||||||
\(114\) | 6.20883 | + | 12.1753i | 0.581510 | + | 1.14032i | ||||
\(115\) | −8.93903 | + | 15.4829i | −0.833569 | + | 1.44378i | ||||
\(116\) | −0.980947 | + | 0.566350i | −0.0910786 | + | 0.0525843i | ||||
\(117\) | 9.03149 | + | 5.95249i | 0.834962 | + | 0.550308i | ||||
\(118\) | − | 6.02418i | − | 0.554571i | ||||||
\(119\) | −0.784171 | − | 2.22964i | −0.0718849 | − | 0.204391i | ||||
\(120\) | 3.32494 | + | 2.15764i | 0.303524 | + | 0.196965i | ||||
\(121\) | 5.45585 | + | 9.44982i | 0.495987 | + | 0.859074i | ||||
\(122\) | −7.31581 | + | 4.22379i | −0.662343 | + | 0.382404i | ||||
\(123\) | 11.6183 | − | 5.92475i | 1.04758 | − | 0.534217i | ||||
\(124\) | −0.839051 | − | 1.45328i | −0.0753490 | − | 0.130508i | ||||
\(125\) | 10.9000i | 0.974929i | ||||||||
\(126\) | 1.84156 | + | 7.72066i | 0.164059 | + | 0.687811i | ||||
\(127\) | 2.63228 | + | 4.55924i | 0.233577 | + | 0.404567i | 0.958858 | − | 0.283886i | \(-0.0916236\pi\) |
−0.725281 | + | 0.688453i | \(0.758290\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −3.66217 | + | 5.64343i | −0.322436 | + | 0.496876i | ||||
\(130\) | 4.44214 | + | 6.95319i | 0.389601 | + | 0.609835i | ||||
\(131\) | 0.386257 | − | 0.669016i | 0.0337474 | − | 0.0584522i | −0.848658 | − | 0.528941i | \(-0.822589\pi\) |
0.882406 | + | 0.470489i | \(0.155922\pi\) | |||||||
\(132\) | −0.280159 | + | 0.431727i | −0.0243847 | + | 0.0375770i | ||||
\(133\) | −13.5924 | + | 15.8456i | −1.17861 | + | 1.37399i | ||||
\(134\) | −2.94347 | − | 1.69941i | −0.254277 | − | 0.146807i | ||||
\(135\) | −9.24864 | − | 7.47384i | −0.795996 | − | 0.643246i | ||||
\(136\) | −0.893327 | −0.0766022 | ||||||||
\(137\) | 2.58684 | 0.221009 | 0.110505 | − | 0.993876i | \(-0.464753\pi\) | ||||
0.110505 | + | 0.993876i | \(0.464753\pi\) | |||||||
\(138\) | −0.703603 | + | 13.5132i | −0.0598947 | + | 1.15032i | ||||
\(139\) | 10.2034 | + | 5.89092i | 0.865438 | + | 0.499661i | 0.865830 | − | 0.500339i | \(-0.166791\pi\) |
−0.000391380 | 1.00000i | \(0.500125\pi\) | ||||||||
\(140\) | −1.11615 | + | 5.95083i | −0.0943319 | + | 0.502937i | ||||
\(141\) | 8.74191 | + | 5.67285i | 0.736202 | + | 0.477740i | ||||
\(142\) | 1.14995 | − | 1.99178i | 0.0965020 | − | 0.167146i | ||||
\(143\) | −0.902838 | + | 0.576790i | −0.0754991 | + | 0.0482336i | ||||
\(144\) | 2.98378 | + | 0.311563i | 0.248648 | + | 0.0259636i | ||||
\(145\) | 2.59209 | 0.215262 | ||||||||
\(146\) | −6.16302 | − | 10.6747i | −0.510055 | − | 0.883441i | ||||
\(147\) | −9.83694 | + | 7.08764i | −0.811337 | + | 0.584578i | ||||
\(148\) | − | 4.99903i | − | 0.410918i | ||||||
\(149\) | 1.64375 | + | 2.84705i | 0.134661 | + | 0.233240i | 0.925468 | − | 0.378826i | \(-0.123672\pi\) |
−0.790807 | + | 0.612066i | \(0.790339\pi\) | |||||||
\(150\) | −0.186386 | − | 0.365496i | −0.0152183 | − | 0.0298426i | ||||
\(151\) | 10.5899 | − | 6.11409i | 0.861795 | − | 0.497557i | −0.00281814 | − | 0.999996i | \(-0.500897\pi\) |
0.864613 | + | 0.502439i | \(0.167564\pi\) | |||||||
\(152\) | 3.94533 | + | 6.83352i | 0.320009 | + | 0.554272i | ||||
\(153\) | 2.66549 | + | 0.278328i | 0.215492 | + | 0.0225015i | ||||
\(154\) | −0.772686 | − | 0.144927i | −0.0622648 | − | 0.0116785i | ||||
\(155\) | 3.84021i | 0.308453i | ||||||||
\(156\) | 5.38598 | + | 3.16089i | 0.431223 | + | 0.253074i | ||||
\(157\) | −15.4715 | + | 8.93248i | −1.23476 | + | 0.712889i | −0.968019 | − | 0.250879i | \(-0.919280\pi\) |
−0.266742 | + | 0.963768i | \(0.585947\pi\) | |||||||
\(158\) | −4.46469 | + | 7.73307i | −0.355192 | + | 0.615210i | ||||
\(159\) | −11.1954 | + | 5.70910i | −0.887851 | + | 0.452761i | ||||
\(160\) | 1.98183 | + | 1.14421i | 0.156678 | + | 0.0904578i | ||||
\(161\) | −19.4989 | + | 6.85779i | −1.53673 | + | 0.540470i | ||||
\(162\) | −8.80586 | − | 1.85927i | −0.691853 | − | 0.146078i | ||||
\(163\) | −2.00708 | + | 1.15879i | −0.157207 | + | 0.0907632i | −0.576540 | − | 0.817069i | \(-0.695597\pi\) |
0.419333 | + | 0.907833i | \(0.362264\pi\) | |||||||
\(164\) | 6.52086 | − | 3.76482i | 0.509194 | − | 0.293983i | ||||
\(165\) | 1.04922 | − | 0.535050i | 0.0816813 | − | 0.0416536i | ||||
\(166\) | − | 1.54870i | − | 0.120203i | ||||||
\(167\) | 11.5588 | − | 6.67349i | 0.894449 | − | 0.516410i | 0.0190536 | − | 0.999818i | \(-0.493935\pi\) |
0.875395 | + | 0.483408i | \(0.160601\pi\) | |||||||
\(168\) | 1.29357 | + | 4.39621i | 0.0998009 | + | 0.339175i | ||||
\(169\) | 7.48361 | + | 10.6299i | 0.575662 | + | 0.817687i | ||||
\(170\) | 1.77042 | + | 1.02215i | 0.135785 | + | 0.0783957i | ||||
\(171\) | −9.64293 | − | 21.6189i | −0.737413 | − | 1.65324i | ||||
\(172\) | −1.94207 | + | 3.36377i | −0.148082 | + | 0.256485i | ||||
\(173\) | 9.18090 | + | 15.9018i | 0.698011 | + | 1.20899i | 0.969155 | + | 0.246452i | \(0.0792648\pi\) |
−0.271144 | + | 0.962539i | \(0.587402\pi\) | |||||||
\(174\) | 1.74776 | − | 0.891273i | 0.132497 | − | 0.0675673i | ||||
\(175\) | 0.408037 | − | 0.475677i | 0.0308447 | − | 0.0359578i | ||||
\(176\) | −0.148570 | + | 0.257331i | −0.0111989 | + | 0.0193971i | ||||
\(177\) | −0.542552 | + | 10.4201i | −0.0407807 | + | 0.783220i | ||||
\(178\) | − | 14.3106i | − | 1.07262i | ||||||
\(179\) | −8.93640 | − | 5.15943i | −0.667938 | − | 0.385634i | 0.127357 | − | 0.991857i | \(-0.459351\pi\) |
−0.795295 | + | 0.606223i | \(0.792684\pi\) | |||||||
\(180\) | −5.55685 | − | 4.03154i | −0.414183 | − | 0.300493i | ||||
\(181\) | 5.21743i | 0.387809i | 0.981020 | + | 0.193904i | \(0.0621151\pi\) | ||||
−0.981020 | + | 0.193904i | \(0.937885\pi\) | |||||||
\(182\) | −1.33588 | + | 9.44539i | −0.0990223 | + | 0.700139i | ||||
\(183\) | 13.0346 | − | 6.64704i | 0.963547 | − | 0.491363i | ||||
\(184\) | 7.81240i | 0.575938i | ||||||||
\(185\) | −5.71994 | + | 9.90723i | −0.420538 | + | 0.728394i | ||||
\(186\) | 1.32043 | + | 2.58932i | 0.0968185 | + | 0.189858i | ||||
\(187\) | −0.132722 | + | 0.229881i | −0.00970559 | + | 0.0168106i | ||||
\(188\) | 5.21062 | + | 3.00835i | 0.380024 | + | 0.219407i | ||||
\(189\) | −2.49002 | − | 13.5203i | −0.181122 | − | 0.983461i | ||||
\(190\) | − | 18.0572i | − | 1.31001i | ||||||
\(191\) | 22.8395 | − | 13.1864i | 1.65261 | − | 0.954135i | 0.676616 | − | 0.736336i | \(-0.263446\pi\) |
0.975994 | − | 0.217799i | \(-0.0698877\pi\) | |||||||
\(192\) | 1.72971 | + | 0.0900624i | 0.124831 | + | 0.00649969i | ||||
\(193\) | 2.77543 | + | 1.60239i | 0.199780 | + | 0.115343i | 0.596553 | − | 0.802574i | \(-0.296537\pi\) |
−0.396773 | + | 0.917917i | \(0.629870\pi\) | |||||||
\(194\) | 1.19346 | − | 2.06713i | 0.0856855 | − | 0.148412i | ||||
\(195\) | −7.05738 | − | 12.4270i | −0.505389 | − | 0.889919i | ||||
\(196\) | −5.45890 | + | 4.38183i | −0.389922 | + | 0.312988i | ||||
\(197\) | −12.9869 | − | 22.4940i | −0.925278 | − | 1.60263i | −0.791113 | − | 0.611670i | \(-0.790498\pi\) |
−0.134165 | − | 0.990959i | \(-0.542835\pi\) | |||||||
\(198\) | 0.523476 | − | 0.721530i | 0.0372018 | − | 0.0512769i | ||||
\(199\) | − | 5.54735i | − | 0.393241i | −0.980480 | − | 0.196621i | \(-0.937003\pi\) | ||
0.980480 | − | 0.196621i | \(-0.0629967\pi\) | |||||||
\(200\) | −0.118437 | − | 0.205138i | −0.00837474 | − | 0.0145055i | ||||
\(201\) | 4.93829 | + | 3.20459i | 0.348320 | + | 0.226034i | ||||
\(202\) | −9.38860 | + | 16.2615i | −0.660579 | + | 1.14416i | ||||
\(203\) | 2.27463 | + | 1.95118i | 0.159648 | + | 0.136946i | ||||
\(204\) | 1.54520 | + | 0.0804552i | 0.108185 | + | 0.00563299i | ||||
\(205\) | −17.2310 | −1.20346 | ||||||||
\(206\) | 12.3898 | + | 7.15323i | 0.863235 | + | 0.498389i | ||||
\(207\) | 2.43406 | − | 23.3105i | 0.169179 | − | 1.62019i | ||||
\(208\) | 3.20028 | + | 1.66078i | 0.221900 | + | 0.115154i | ||||
\(209\) | 2.34464 | 0.162182 | ||||||||
\(210\) | 2.46656 | − | 10.1927i | 0.170209 | − | 0.703361i | ||||
\(211\) | 1.17040 | + | 2.02719i | 0.0805736 | + | 0.139558i | 0.903496 | − | 0.428596i | \(-0.140991\pi\) |
−0.822923 | + | 0.568153i | \(0.807658\pi\) | |||||||
\(212\) | −6.28351 | + | 3.62779i | −0.431553 | + | 0.249158i | ||||
\(213\) | −2.16847 | + | 3.34163i | −0.148581 | + | 0.228965i | ||||
\(214\) | − | 16.6853i | − | 1.14059i | ||||||
\(215\) | 7.69772 | − | 4.44428i | 0.524980 | − | 0.303097i | ||||
\(216\) | −5.13300 | − | 0.807639i | −0.349257 | − | 0.0549529i | ||||
\(217\) | −2.89069 | + | 3.36988i | −0.196233 | + | 0.228762i | ||||
\(218\) | 9.70354 | − | 5.60234i | 0.657207 | − | 0.379439i | ||||
\(219\) | 9.69883 | + | 19.0191i | 0.655387 | + | 1.28519i | ||||
\(220\) | 0.588883 | − | 0.339992i | 0.0397025 | − | 0.0229222i | ||||
\(221\) | 2.85890 | + | 1.48362i | 0.192310 | + | 0.0997992i | ||||
\(222\) | −0.450224 | + | 8.64686i | −0.0302171 | + | 0.580339i | ||||
\(223\) | 0.746837 | + | 1.29356i | 0.0500119 | + | 0.0866232i | 0.889948 | − | 0.456063i | \(-0.150741\pi\) |
−0.839936 | + | 0.542686i | \(0.817407\pi\) | |||||||
\(224\) | 0.877809 | + | 2.49589i | 0.0586511 | + | 0.166763i | ||||
\(225\) | 0.289475 | + | 0.648988i | 0.0192983 | + | 0.0432658i | ||||
\(226\) | 7.27033 | + | 4.19753i | 0.483615 | + | 0.279215i | ||||
\(227\) | − | 6.37084i | − | 0.422848i | −0.977394 | − | 0.211424i | \(-0.932190\pi\) | ||
0.977394 | − | 0.211424i | \(-0.0678100\pi\) | |||||||
\(228\) | −6.20883 | − | 12.1753i | −0.411190 | − | 0.806330i | ||||
\(229\) | −3.93382 | + | 6.81358i | −0.259954 | + | 0.450254i | −0.966229 | − | 0.257684i | \(-0.917041\pi\) |
0.706275 | + | 0.707937i | \(0.250374\pi\) | |||||||
\(230\) | 8.93903 | − | 15.4829i | 0.589422 | − | 1.02091i | ||||
\(231\) | 1.32347 | + | 0.320271i | 0.0870779 | + | 0.0210723i | ||||
\(232\) | 0.980947 | − | 0.566350i | 0.0644023 | − | 0.0371827i | ||||
\(233\) | −8.04627 | − | 4.64552i | −0.527129 | − | 0.304338i | 0.212718 | − | 0.977114i | \(-0.431769\pi\) |
−0.739847 | + | 0.672776i | \(0.765102\pi\) | |||||||
\(234\) | −9.03149 | − | 5.95249i | −0.590407 | − | 0.389127i | ||||
\(235\) | −6.88438 | − | 11.9241i | −0.449088 | − | 0.777842i | ||||
\(236\) | 6.02418i | 0.392141i | ||||||||
\(237\) | 8.41907 | − | 12.9739i | 0.546877 | − | 0.842743i | ||||
\(238\) | 0.784171 | + | 2.22964i | 0.0508303 | + | 0.144526i | ||||
\(239\) | −22.6067 | −1.46230 | −0.731152 | − | 0.682215i | \(-0.761017\pi\) | ||||
−0.731152 | + | 0.682215i | \(0.761017\pi\) | |||||||
\(240\) | −3.32494 | − | 2.15764i | −0.214624 | − | 0.139275i | ||||
\(241\) | 29.0874 | 1.87368 | 0.936842 | − | 0.349753i | \(-0.113734\pi\) | ||||
0.936842 | + | 0.349753i | \(0.113734\pi\) | |||||||
\(242\) | −5.45585 | − | 9.44982i | −0.350716 | − | 0.607457i | ||||
\(243\) | 15.0641 | + | 4.00907i | 0.966363 | + | 0.257182i | ||||
\(244\) | 7.31581 | − | 4.22379i | 0.468347 | − | 0.270400i | ||||
\(245\) | 15.8324 | − | 2.43790i | 1.01149 | − | 0.155752i | ||||
\(246\) | −11.6183 | + | 5.92475i | −0.740753 | + | 0.377749i | ||||
\(247\) | −1.27720 | − | 28.4215i | −0.0812665 | − | 1.80842i | ||||
\(248\) | 0.839051 | + | 1.45328i | 0.0532798 | + | 0.0922834i | ||||
\(249\) | −0.139480 | + | 2.67881i | −0.00883919 | + | 0.169762i | ||||
\(250\) | − | 10.9000i | − | 0.689379i | ||||||
\(251\) | 6.89055 | − | 11.9348i | 0.434928 | − | 0.753317i | −0.562362 | − | 0.826891i | \(-0.690107\pi\) |
0.997290 | + | 0.0735742i | \(0.0234406\pi\) | |||||||
\(252\) | −1.84156 | − | 7.72066i | −0.116007 | − | 0.486356i | ||||
\(253\) | 2.01037 | + | 1.16069i | 0.126391 | + | 0.0729720i | ||||
\(254\) | −2.63228 | − | 4.55924i | −0.165164 | − | 0.286072i | ||||
\(255\) | −2.97026 | − | 1.92748i | −0.186005 | − | 0.120703i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −5.62443 | −0.350843 | −0.175421 | − | 0.984493i | \(-0.556129\pi\) | ||||
−0.175421 | + | 0.984493i | \(0.556129\pi\) | |||||||
\(258\) | 3.66217 | − | 5.64343i | 0.227997 | − | 0.351345i | ||||
\(259\) | −12.4770 | + | 4.38819i | −0.775284 | + | 0.272669i | ||||
\(260\) | −4.44214 | − | 6.95319i | −0.275490 | − | 0.431218i | ||||
\(261\) | −3.10338 | + | 1.38424i | −0.192094 | + | 0.0856820i | ||||
\(262\) | −0.386257 | + | 0.669016i | −0.0238630 | + | 0.0413320i | ||||
\(263\) | −16.7851 | − | 9.69087i | −1.03501 | − | 0.597564i | −0.116595 | − | 0.993179i | \(-0.537198\pi\) |
−0.918416 | + | 0.395615i | \(0.870531\pi\) | |||||||
\(264\) | 0.280159 | − | 0.431727i | 0.0172426 | − | 0.0265710i | ||||
\(265\) | 16.6038 | 1.01996 | ||||||||
\(266\) | 13.5924 | − | 15.8456i | 0.833406 | − | 0.971558i | ||||
\(267\) | −1.28885 | + | 24.7531i | −0.0788761 | + | 1.51487i | ||||
\(268\) | 2.94347 | + | 1.69941i | 0.179801 | + | 0.103808i | ||||
\(269\) | 27.9546 | 1.70442 | 0.852211 | − | 0.523199i | \(-0.175261\pi\) | ||||
0.852211 | + | 0.523199i | \(0.175261\pi\) | |||||||
\(270\) | 9.24864 | + | 7.47384i | 0.562854 | + | 0.454844i | ||||
\(271\) | −20.4588 | −1.24279 | −0.621393 | − | 0.783499i | \(-0.713433\pi\) | ||||
−0.621393 | + | 0.783499i | \(0.713433\pi\) | |||||||
\(272\) | 0.893327 | 0.0541659 | ||||||||
\(273\) | 3.16136 | − | 16.2175i | 0.191334 | − | 0.981525i | ||||
\(274\) | −2.58684 | −0.156277 | ||||||||
\(275\) | −0.0703847 | −0.00424436 | ||||||||
\(276\) | 0.703603 | − | 13.5132i | 0.0423519 | − | 0.813397i | ||||
\(277\) | 6.51069 | 0.391190 | 0.195595 | − | 0.980685i | \(-0.437336\pi\) | ||||
0.195595 | + | 0.980685i | \(0.437336\pi\) | |||||||
\(278\) | −10.2034 | − | 5.89092i | −0.611957 | − | 0.353314i | ||||
\(279\) | −2.05075 | − | 4.59768i | −0.122775 | − | 0.275256i | ||||
\(280\) | 1.11615 | − | 5.95083i | 0.0667028 | − | 0.355630i | ||||
\(281\) | −10.0287 | −0.598262 | −0.299131 | − | 0.954212i | \(-0.596697\pi\) | ||||
−0.299131 | + | 0.954212i | \(0.596697\pi\) | |||||||
\(282\) | −8.74191 | − | 5.67285i | −0.520573 | − | 0.337814i | ||||
\(283\) | 19.8164 | + | 11.4410i | 1.17796 | + | 0.680097i | 0.955542 | − | 0.294854i | \(-0.0952712\pi\) |
0.222420 | + | 0.974951i | \(0.428605\pi\) | |||||||
\(284\) | −1.14995 | + | 1.99178i | −0.0682372 | + | 0.118190i | ||||
\(285\) | −1.62627 | + | 31.2336i | −0.0963321 | + | 1.85012i | ||||
\(286\) | 0.902838 | − | 0.576790i | 0.0533859 | − | 0.0341063i | ||||
\(287\) | −15.1206 | − | 12.9705i | −0.892543 | − | 0.765626i | ||||
\(288\) | −2.98378 | − | 0.311563i | −0.175821 | − | 0.0183590i | ||||
\(289\) | −16.2020 | −0.953057 | ||||||||
\(290\) | −2.59209 | −0.152213 | ||||||||
\(291\) | −2.25051 | + | 3.46805i | −0.131927 | + | 0.203301i | ||||
\(292\) | 6.16302 | + | 10.6747i | 0.360663 | + | 0.624687i | ||||
\(293\) | −17.4353 | − | 10.0663i | −1.01858 | − | 0.588080i | −0.104890 | − | 0.994484i | \(-0.533449\pi\) |
−0.913693 | + | 0.406404i | \(0.866783\pi\) | |||||||
\(294\) | 9.83694 | − | 7.08764i | 0.573702 | − | 0.413359i | ||||
\(295\) | 6.89293 | − | 11.9389i | 0.401322 | − | 0.695110i | ||||
\(296\) | 4.99903i | 0.290563i | ||||||||
\(297\) | −0.970443 | + | 1.20089i | −0.0563108 | + | 0.0696828i | ||||
\(298\) | −1.64375 | − | 2.84705i | −0.0952198 | − | 0.164925i | ||||
\(299\) | 12.9747 | − | 25.0019i | 0.750345 | − | 1.44590i | ||||
\(300\) | 0.186386 | + | 0.365496i | 0.0107610 | + | 0.0211019i | ||||
\(301\) | 10.1004 | + | 1.89445i | 0.582175 | + | 0.109194i | ||||
\(302\) | −10.5899 | + | 6.11409i | −0.609381 | + | 0.351826i | ||||
\(303\) | 17.7041 | − | 27.2821i | 1.01707 | − | 1.56732i | ||||
\(304\) | −3.94533 | − | 6.83352i | −0.226280 | − | 0.391929i | ||||
\(305\) | −19.3316 | −1.10692 | ||||||||
\(306\) | −2.66549 | − | 0.278328i | −0.152376 | − | 0.0159110i | ||||
\(307\) | 3.07801 | 0.175672 | 0.0878358 | − | 0.996135i | \(-0.472005\pi\) | ||||
0.0878358 | + | 0.996135i | \(0.472005\pi\) | |||||||
\(308\) | 0.772686 | + | 0.144927i | 0.0440279 | + | 0.00825797i | ||||
\(309\) | −20.7864 | − | 13.4888i | −1.18250 | − | 0.767353i | ||||
\(310\) | − | 3.84021i | − | 0.218109i | ||||||
\(311\) | 7.75963 | + | 13.4401i | 0.440008 | + | 0.762117i | 0.997690 | − | 0.0679384i | \(-0.0216421\pi\) |
−0.557681 | + | 0.830055i | \(0.688309\pi\) | |||||||
\(312\) | −5.38598 | − | 3.16089i | −0.304921 | − | 0.178950i | ||||
\(313\) | 13.7068 | + | 7.91361i | 0.774752 | + | 0.447303i | 0.834567 | − | 0.550906i | \(-0.185718\pi\) |
−0.0598149 | + | 0.998209i | \(0.519051\pi\) | |||||||
\(314\) | 15.4715 | − | 8.93248i | 0.873108 | − | 0.504089i | ||||
\(315\) | −5.18440 | + | 17.4082i | −0.292108 | + | 0.980840i | ||||
\(316\) | 4.46469 | − | 7.73307i | 0.251159 | − | 0.435019i | ||||
\(317\) | −6.47213 | + | 11.2101i | −0.363511 | + | 0.629619i | −0.988536 | − | 0.150985i | \(-0.951755\pi\) |
0.625025 | + | 0.780605i | \(0.285089\pi\) | |||||||
\(318\) | 11.1954 | − | 5.70910i | 0.627805 | − | 0.320151i | ||||
\(319\) | − | 0.336571i | − | 0.0188444i | ||||||
\(320\) | −1.98183 | − | 1.14421i | −0.110788 | − | 0.0639633i | ||||
\(321\) | −1.50272 | + | 28.8608i | −0.0838737 | + | 1.61085i | ||||
\(322\) | 19.4989 | − | 6.85779i | 1.08663 | − | 0.382170i | ||||
\(323\) | −3.52448 | − | 6.10457i | −0.196107 | − | 0.339667i | ||||
\(324\) | 8.80586 | + | 1.85927i | 0.489214 | + | 0.103293i | ||||
\(325\) | 0.0383409 | + | 0.853198i | 0.00212677 | + | 0.0473269i | ||||
\(326\) | 2.00708 | − | 1.15879i | 0.111162 | − | 0.0641793i | ||||
\(327\) | −17.2889 | + | 8.81649i | −0.956076 | + | 0.487553i | ||||
\(328\) | −6.52086 | + | 3.76482i | −0.360054 | + | 0.207877i | ||||
\(329\) | 2.93458 | − | 15.6459i | 0.161789 | − | 0.862585i | ||||
\(330\) | −1.04922 | + | 0.535050i | −0.0577574 | + | 0.0294535i | ||||
\(331\) | 7.76227 | − | 4.48155i | 0.426653 | − | 0.246328i | −0.271267 | − | 0.962504i | \(-0.587443\pi\) |
0.697920 | + | 0.716176i | \(0.254109\pi\) | |||||||
\(332\) | 1.54870i | 0.0849962i | ||||||||
\(333\) | 1.55751 | − | 14.9160i | 0.0853512 | − | 0.817391i | ||||
\(334\) | −11.5588 | + | 6.67349i | −0.632471 | + | 0.365157i | ||||
\(335\) | −3.88898 | − | 6.73591i | −0.212477 | − | 0.368022i | ||||
\(336\) | −1.29357 | − | 4.39621i | −0.0705699 | − | 0.239833i | ||||
\(337\) | −7.76837 | −0.423170 | −0.211585 | − | 0.977360i | \(-0.567863\pi\) | ||||
−0.211585 | + | 0.977360i | \(0.567863\pi\) | |||||||
\(338\) | −7.48361 | − | 10.6299i | −0.407055 | − | 0.578192i | ||||
\(339\) | −12.1975 | − | 7.91528i | −0.662478 | − | 0.429899i | ||||
\(340\) | −1.77042 | − | 1.02215i | −0.0960147 | − | 0.0554341i | ||||
\(341\) | 0.498633 | 0.0270025 | ||||||||
\(342\) | 9.64293 | + | 21.6189i | 0.521430 | + | 1.16902i | ||||
\(343\) | 15.7284 | + | 9.77839i | 0.849255 | + | 0.527984i | ||||
\(344\) | 1.94207 | − | 3.36377i | 0.104710 | − | 0.181362i | ||||
\(345\) | −16.8563 | + | 25.9757i | −0.907514 | + | 1.39849i | ||||
\(346\) | −9.18090 | − | 15.9018i | −0.493568 | − | 0.854886i | ||||
\(347\) | − | 9.70091i | − | 0.520772i | −0.965505 | − | 0.260386i | \(-0.916150\pi\) | ||
0.965505 | − | 0.260386i | \(-0.0838498\pi\) | |||||||
\(348\) | −1.74776 | + | 0.891273i | −0.0936897 | + | 0.0477773i | ||||
\(349\) | 13.2526 | + | 22.9542i | 0.709396 | + | 1.22871i | 0.965081 | + | 0.261950i | \(0.0843655\pi\) |
−0.255686 | + | 0.966760i | \(0.582301\pi\) | |||||||
\(350\) | −0.408037 | + | 0.475677i | −0.0218105 | + | 0.0254260i | ||||
\(351\) | 15.0857 | + | 11.1095i | 0.805218 | + | 0.592980i | ||||
\(352\) | 0.148570 | − | 0.257331i | 0.00791882 | − | 0.0137158i | ||||
\(353\) | 22.1838 | + | 12.8078i | 1.18073 | + | 0.681693i | 0.956183 | − | 0.292771i | \(-0.0945774\pi\) |
0.224544 | + | 0.974464i | \(0.427911\pi\) | |||||||
\(354\) | 0.542552 | − | 10.4201i | 0.0288363 | − | 0.553820i | ||||
\(355\) | 4.55803 | − | 2.63158i | 0.241915 | − | 0.139670i | ||||
\(356\) | 14.3106i | 0.758460i | ||||||||
\(357\) | −1.15558 | − | 3.92726i | −0.0611598 | − | 0.207852i | ||||
\(358\) | 8.93640 | + | 5.15943i | 0.472303 | + | 0.272684i | ||||
\(359\) | 6.41408 | − | 11.1095i | 0.338522 | − | 0.586338i | −0.645633 | − | 0.763648i | \(-0.723406\pi\) |
0.984155 | + | 0.177310i | \(0.0567396\pi\) | |||||||
\(360\) | 5.55685 | + | 4.03154i | 0.292872 | + | 0.212481i | ||||
\(361\) | −21.6313 | + | 37.4666i | −1.13849 | + | 1.97192i | ||||
\(362\) | − | 5.21743i | − | 0.274222i | ||||||
\(363\) | 8.58596 | + | 16.8368i | 0.450646 | + | 0.883702i | ||||
\(364\) | 1.33588 | − | 9.44539i | 0.0700193 | − | 0.495073i | ||||
\(365\) | − | 28.2072i | − | 1.47643i | ||||||
\(366\) | −13.0346 | + | 6.64704i | −0.681331 | + | 0.347446i | ||||
\(367\) | −21.2692 | − | 12.2798i | −1.11024 | − | 0.641000i | −0.171352 | − | 0.985210i | \(-0.554813\pi\) |
−0.938893 | + | 0.344210i | \(0.888147\pi\) | |||||||
\(368\) | − | 7.81240i | − | 0.407249i | ||||||
\(369\) | 20.6298 | − | 9.20173i | 1.07394 | − | 0.479023i | ||||
\(370\) | 5.71994 | − | 9.90723i | 0.297366 | − | 0.515052i | ||||
\(371\) | 14.5703 | + | 12.4984i | 0.756451 | + | 0.648886i | ||||
\(372\) | −1.32043 | − | 2.58932i | −0.0684610 | − | 0.134250i | ||||
\(373\) | 10.7383 | + | 18.5993i | 0.556009 | + | 0.963036i | 0.997824 | + | 0.0659297i | \(0.0210013\pi\) |
−0.441815 | + | 0.897106i | \(0.645665\pi\) | |||||||
\(374\) | 0.132722 | − | 0.229881i | 0.00686289 | − | 0.0118869i | ||||
\(375\) | −0.981684 | + | 18.8539i | −0.0506939 | + | 0.973611i | ||||
\(376\) | −5.21062 | − | 3.00835i | −0.268717 | − | 0.155144i | ||||
\(377\) | −4.07989 | + | 0.183342i | −0.210125 | + | 0.00944257i | ||||
\(378\) | 2.49002 | + | 13.5203i | 0.128073 | + | 0.695412i | ||||
\(379\) | −13.9171 | + | 8.03505i | −0.714874 | + | 0.412733i | −0.812863 | − | 0.582455i | \(-0.802092\pi\) |
0.0979889 | + | 0.995188i | \(0.468759\pi\) | |||||||
\(380\) | 18.0572i | 0.926314i | ||||||||
\(381\) | 4.14246 | + | 8.12322i | 0.212224 | + | 0.416165i | ||||
\(382\) | −22.8395 | + | 13.1864i | −1.16857 | + | 0.674675i | ||||
\(383\) | 23.1968 | − | 13.3927i | 1.18530 | − | 0.684335i | 0.228068 | − | 0.973645i | \(-0.426759\pi\) |
0.957235 | + | 0.289310i | \(0.0934259\pi\) | |||||||
\(384\) | −1.72971 | − | 0.0900624i | −0.0882688 | − | 0.00459598i | ||||
\(385\) | −1.36551 | − | 1.17134i | −0.0695927 | − | 0.0596968i | ||||
\(386\) | −2.77543 | − | 1.60239i | −0.141266 | − | 0.0815597i | ||||
\(387\) | −6.84274 | + | 9.43166i | −0.347836 | + | 0.479438i | ||||
\(388\) | −1.19346 | + | 2.06713i | −0.0605888 | + | 0.104943i | ||||
\(389\) | −3.67405 | + | 2.12122i | −0.186282 | + | 0.107550i | −0.590241 | − | 0.807227i | \(-0.700967\pi\) |
0.403959 | + | 0.914777i | \(0.367634\pi\) | |||||||
\(390\) | 7.05738 | + | 12.4270i | 0.357364 | + | 0.629268i | ||||
\(391\) | − | 6.97903i | − | 0.352945i | ||||||
\(392\) | 5.45890 | − | 4.38183i | 0.275716 | − | 0.221316i | ||||
\(393\) | 0.728364 | − | 1.12242i | 0.0367411 | − | 0.0566184i | ||||
\(394\) | 12.9869 | + | 22.4940i | 0.654270 | + | 1.13323i | ||||
\(395\) | −17.6965 | + | 10.2171i | −0.890409 | + | 0.514078i | ||||
\(396\) | −0.523476 | + | 0.721530i | −0.0263056 | + | 0.0362583i | ||||
\(397\) | −0.355073 | − | 0.615005i | −0.0178206 | − | 0.0308662i | 0.856978 | − | 0.515354i | \(-0.172339\pi\) |
−0.874798 | + | 0.484488i | \(0.839006\pi\) | |||||||
\(398\) | 5.54735i | 0.278063i | ||||||||
\(399\) | −24.9380 | + | 26.1841i | −1.24846 | + | 1.31085i | ||||
\(400\) | 0.118437 | + | 0.205138i | 0.00592183 | + | 0.0102569i | ||||
\(401\) | −15.2330 | −0.760701 | −0.380351 | − | 0.924842i | \(-0.624197\pi\) | ||||
−0.380351 | + | 0.924842i | \(0.624197\pi\) | |||||||
\(402\) | −4.93829 | − | 3.20459i | −0.246300 | − | 0.159830i | ||||
\(403\) | −0.271622 | − | 6.04439i | −0.0135305 | − | 0.301092i | ||||
\(404\) | 9.38860 | − | 16.2615i | 0.467100 | − | 0.809041i | ||||
\(405\) | −15.3243 | − | 13.7605i | −0.761472 | − | 0.683766i | ||||
\(406\) | −2.27463 | − | 1.95118i | −0.112888 | − | 0.0968357i | ||||
\(407\) | 1.28641 | + | 0.742707i | 0.0637648 | + | 0.0368146i | ||||
\(408\) | −1.54520 | − | 0.0804552i | −0.0764986 | − | 0.00398313i | ||||
\(409\) | 26.0063 | 1.28593 | 0.642964 | − | 0.765896i | \(-0.277704\pi\) | ||||
0.642964 | + | 0.765896i | \(0.277704\pi\) | |||||||
\(410\) | 17.2310 | 0.850978 | ||||||||
\(411\) | 4.47448 | + | 0.232977i | 0.220710 | + | 0.0114919i | ||||
\(412\) | −12.3898 | − | 7.15323i | −0.610399 | − | 0.352414i | ||||
\(413\) | 15.0357 | − | 5.28808i | 0.739857 | − | 0.260209i | ||||
\(414\) | −2.43406 | + | 23.3105i | −0.119627 | + | 1.14565i | ||||
\(415\) | 1.77204 | − | 3.06927i | 0.0869863 | − | 0.150665i | ||||
\(416\) | −3.20028 | − | 1.66078i | −0.156907 | − | 0.0814265i | ||||
\(417\) | 17.1183 | + | 11.1085i | 0.838286 | + | 0.543986i | ||||
\(418\) | −2.34464 | −0.114680 | ||||||||
\(419\) | −4.44170 | − | 7.69326i | −0.216991 | − | 0.375840i | 0.736895 | − | 0.676007i | \(-0.236291\pi\) |
−0.953887 | + | 0.300167i | \(0.902958\pi\) | |||||||
\(420\) | −2.46656 | + | 10.1927i | −0.120356 | + | 0.497351i | ||||
\(421\) | − | 11.9274i | − | 0.581308i | −0.956828 | − | 0.290654i | \(-0.906127\pi\) | ||
0.956828 | − | 0.290654i | \(-0.0938729\pi\) | |||||||
\(422\) | −1.17040 | − | 2.02719i | −0.0569742 | − | 0.0986822i | ||||
\(423\) | 14.6100 | + | 10.5997i | 0.710365 | + | 0.515375i | ||||
\(424\) | 6.28351 | − | 3.62779i | 0.305154 | − | 0.176181i | ||||
\(425\) | 0.105803 | + | 0.183256i | 0.00513219 | + | 0.00888921i | ||||
\(426\) | 2.16847 | − | 3.34163i | 0.105063 | − | 0.161902i | ||||
\(427\) | −16.9640 | − | 14.5518i | −0.820945 | − | 0.704209i | ||||
\(428\) | 16.6853i | 0.806516i | ||||||||
\(429\) | −1.61359 | + | 0.916367i | −0.0779050 | + | 0.0442426i | ||||
\(430\) | −7.69772 | + | 4.44428i | −0.371217 | + | 0.214322i | ||||
\(431\) | 9.74149 | − | 16.8728i | 0.469231 | − | 0.812732i | −0.530150 | − | 0.847904i | \(-0.677864\pi\) |
0.999381 | + | 0.0351717i | \(0.0111978\pi\) | |||||||
\(432\) | 5.13300 | + | 0.807639i | 0.246962 | + | 0.0388576i | ||||
\(433\) | −15.8703 | − | 9.16273i | −0.762679 | − | 0.440333i | 0.0675780 | − | 0.997714i | \(-0.478473\pi\) |
−0.830257 | + | 0.557381i | \(0.811806\pi\) | |||||||
\(434\) | 2.89069 | − | 3.36988i | 0.138758 | − | 0.161759i | ||||
\(435\) | 4.48357 | + | 0.233450i | 0.214971 | + | 0.0111931i | ||||
\(436\) | −9.70354 | + | 5.60234i | −0.464715 | + | 0.268304i | ||||
\(437\) | −53.3862 | + | 30.8225i | −2.55381 | + | 1.47444i | ||||
\(438\) | −9.69883 | − | 19.0191i | −0.463428 | − | 0.908768i | ||||
\(439\) | − | 2.49215i | − | 0.118944i | −0.998230 | − | 0.0594720i | \(-0.981058\pi\) | ||
0.998230 | − | 0.0594720i | \(-0.0189417\pi\) | |||||||
\(440\) | −0.588883 | + | 0.339992i | −0.0280739 | + | 0.0162085i | ||||
\(441\) | −17.6534 | + | 11.3736i | −0.840636 | + | 0.541600i | ||||
\(442\) | −2.85890 | − | 1.48362i | −0.135984 | − | 0.0705687i | ||||
\(443\) | −14.4424 | − | 8.33832i | −0.686179 | − | 0.396166i | 0.116000 | − | 0.993249i | \(-0.462993\pi\) |
−0.802179 | + | 0.597083i | \(0.796326\pi\) | |||||||
\(444\) | 0.450224 | − | 8.64686i | 0.0213667 | − | 0.410362i | ||||
\(445\) | 16.3743 | − | 28.3612i | 0.776218 | − | 1.34445i | ||||
\(446\) | −0.746837 | − | 1.29356i | −0.0353638 | − | 0.0612519i | ||||
\(447\) | 2.58679 | + | 5.07261i | 0.122351 | + | 0.239926i | ||||
\(448\) | −0.877809 | − | 2.49589i | −0.0414726 | − | 0.117920i | ||||
\(449\) | 18.5701 | − | 32.1643i | 0.876375 | − | 1.51793i | 0.0210850 | − | 0.999778i | \(-0.493288\pi\) |
0.855290 | − | 0.518149i | \(-0.173379\pi\) | |||||||
\(450\) | −0.289475 | − | 0.648988i | −0.0136460 | − | 0.0305936i | ||||
\(451\) | 2.23736i | 0.105353i | ||||||||
\(452\) | −7.27033 | − | 4.19753i | −0.341968 | − | 0.197435i | ||||
\(453\) | 18.8681 | − | 9.62183i | 0.886501 | − | 0.452073i | ||||
\(454\) | 6.37084i | 0.298998i | ||||||||
\(455\) | −13.4550 | + | 17.1906i | −0.630781 | + | 0.805910i | ||||
\(456\) | 6.20883 | + | 12.1753i | 0.290755 | + | 0.570161i | ||||
\(457\) | − | 16.1075i | − | 0.753476i | −0.926320 | − | 0.376738i | \(-0.877046\pi\) | ||
0.926320 | − | 0.376738i | \(-0.122954\pi\) | |||||||
\(458\) | 3.93382 | − | 6.81358i | 0.183815 | − | 0.318378i | ||||
\(459\) | 4.58545 | + | 0.721486i | 0.214031 | + | 0.0336761i | ||||
\(460\) | −8.93903 | + | 15.4829i | −0.416784 | + | 0.721892i | ||||
\(461\) | 12.1978 | + | 7.04240i | 0.568108 | + | 0.327997i | 0.756393 | − | 0.654117i | \(-0.226960\pi\) |
−0.188285 | + | 0.982114i | \(0.560293\pi\) | |||||||
\(462\) | −1.32347 | − | 0.320271i | −0.0615734 | − | 0.0149004i | ||||
\(463\) | − | 20.5027i | − | 0.952843i | −0.879217 | − | 0.476421i | \(-0.841934\pi\) | ||
0.879217 | − | 0.476421i | \(-0.158066\pi\) | |||||||
\(464\) | −0.980947 | + | 0.566350i | −0.0455393 | + | 0.0262921i | ||||
\(465\) | −0.345858 | + | 6.64244i | −0.0160388 | + | 0.308036i | ||||
\(466\) | 8.04627 | + | 4.64552i | 0.372736 | + | 0.215199i | ||||
\(467\) | −2.86923 | + | 4.96965i | −0.132772 | + | 0.229968i | −0.924744 | − | 0.380589i | \(-0.875721\pi\) |
0.791972 | + | 0.610557i | \(0.209054\pi\) | |||||||
\(468\) | 9.03149 | + | 5.95249i | 0.417481 | + | 0.275154i | ||||
\(469\) | 1.65774 | − | 8.83834i | 0.0765473 | − | 0.408116i | ||||
\(470\) | 6.88438 | + | 11.9241i | 0.317553 | + | 0.550018i | ||||
\(471\) | −27.5657 | + | 14.0572i | −1.27016 | + | 0.647720i | ||||
\(472\) | − | 6.02418i | − | 0.277285i | ||||||
\(473\) | −0.577069 | − | 0.999512i | −0.0265336 | − | 0.0459576i | ||||
\(474\) | −8.41907 | + | 12.9739i | −0.386701 | + | 0.595909i | ||||
\(475\) | 0.934544 | − | 1.61868i | 0.0428798 | − | 0.0742701i | ||||
\(476\) | −0.784171 | − | 2.22964i | −0.0359424 | − | 0.102196i | ||||
\(477\) | −19.8789 | + | 8.86680i | −0.910192 | + | 0.405983i | ||||
\(478\) | 22.6067 | 1.03401 | ||||||||
\(479\) | 24.3944 | + | 14.0841i | 1.11461 | + | 0.643519i | 0.940019 | − | 0.341122i | \(-0.110807\pi\) |
0.174589 | + | 0.984641i | \(0.444140\pi\) | |||||||
\(480\) | 3.32494 | + | 2.15764i | 0.151762 | + | 0.0984823i | ||||
\(481\) | 8.30229 | − | 15.9983i | 0.378552 | − | 0.729460i | ||||
\(482\) | −29.0874 | −1.32489 | ||||||||
\(483\) | −34.3450 | + | 10.1059i | −1.56275 | + | 0.459833i | ||||
\(484\) | 5.45585 | + | 9.44982i | 0.247993 | + | 0.429537i | ||||
\(485\) | 4.73047 | − | 2.73114i | 0.214800 | − | 0.124015i | ||||
\(486\) | −15.0641 | − | 4.00907i | −0.683322 | − | 0.181855i | ||||
\(487\) | 29.7095i | 1.34627i | 0.739521 | + | 0.673133i | \(0.235052\pi\) | ||||
−0.739521 | + | 0.673133i | \(0.764948\pi\) | |||||||
\(488\) | −7.31581 | + | 4.22379i | −0.331171 | + | 0.191202i | ||||
\(489\) | −3.57602 | + | 1.82360i | −0.161713 | + | 0.0824661i | ||||
\(490\) | −15.8324 | + | 2.43790i | −0.715233 | + | 0.110133i | ||||
\(491\) | 35.4120 | − | 20.4451i | 1.59812 | − | 0.922676i | 0.606272 | − | 0.795258i | \(-0.292664\pi\) |
0.991849 | − | 0.127418i | \(-0.0406690\pi\) | |||||||
\(492\) | 11.6183 | − | 5.92475i | 0.523791 | − | 0.267109i | ||||
\(493\) | −0.876307 | + | 0.505936i | −0.0394669 | + | 0.0227862i | ||||
\(494\) | 1.27720 | + | 28.4215i | 0.0574641 | + | 1.27874i | ||||
\(495\) | 1.86302 | − | 0.830985i | 0.0837367 | − | 0.0373500i | ||||
\(496\) | −0.839051 | − | 1.45328i | −0.0376745 | − | 0.0652542i | ||||
\(497\) | 5.98070 | + | 1.12175i | 0.268271 | + | 0.0503175i | ||||
\(498\) | 0.139480 | − | 2.67881i | 0.00625025 | − | 0.120040i | ||||
\(499\) | 11.0351 | + | 6.37111i | 0.493998 | + | 0.285210i | 0.726232 | − | 0.687450i | \(-0.241270\pi\) |
−0.232233 | + | 0.972660i | \(0.574603\pi\) | |||||||
\(500\) | 10.9000i | 0.487465i | ||||||||
\(501\) | 20.5944 | − | 10.5022i | 0.920091 | − | 0.469202i | ||||
\(502\) | −6.89055 | + | 11.9348i | −0.307540 | + | 0.532675i | ||||
\(503\) | −20.5763 | + | 35.6392i | −0.917453 | + | 1.58908i | −0.114183 | + | 0.993460i | \(0.536425\pi\) |
−0.803270 | + | 0.595615i | \(0.796908\pi\) | |||||||
\(504\) | 1.84156 | + | 7.72066i | 0.0820297 | + | 0.343906i | ||||
\(505\) | −37.2132 | + | 21.4851i | −1.65597 | + | 0.956073i | ||||
\(506\) | −2.01037 | − | 1.16069i | −0.0893720 | − | 0.0515990i | ||||
\(507\) | 11.9871 | + | 19.0607i | 0.532366 | + | 0.846514i | ||||
\(508\) | 2.63228 | + | 4.55924i | 0.116788 | + | 0.202284i | ||||
\(509\) | 17.9868i | 0.797250i | 0.917114 | + | 0.398625i | \(0.130512\pi\) | ||||
−0.917114 | + | 0.398625i | \(0.869488\pi\) | |||||||
\(510\) | 2.97026 | + | 1.92748i | 0.131525 | + | 0.0853502i | ||||
\(511\) | 21.2328 | − | 24.7525i | 0.939283 | − | 1.09499i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −14.7324 | − | 38.2629i | −0.650451 | − | 1.68935i | ||||
\(514\) | 5.62443 | 0.248083 | ||||||||
\(515\) | 16.3696 | + | 28.3530i | 0.721331 | + | 1.24938i | ||||
\(516\) | −3.66217 | + | 5.64343i | −0.161218 | + | 0.248438i | ||||
\(517\) | −1.54829 | + | 0.893904i | −0.0680936 | + | 0.0393139i | ||||
\(518\) | 12.4770 | − | 4.38819i | 0.548208 | − | 0.192806i | ||||
\(519\) | 14.4481 | + | 28.3323i | 0.634202 | + | 1.24365i | ||||
\(520\) | 4.44214 | + | 6.95319i | 0.194801 | + | 0.304917i | ||||
\(521\) | 12.5794 | + | 21.7881i | 0.551113 | + | 0.954555i | 0.998195 | + | 0.0600622i | \(0.0191299\pi\) |
−0.447082 | + | 0.894493i | \(0.647537\pi\) | |||||||
\(522\) | 3.10338 | − | 1.38424i | 0.135831 | − | 0.0605863i | ||||
\(523\) | − | 42.1093i | − | 1.84131i | −0.390375 | − | 0.920656i | \(-0.627655\pi\) | ||
0.390375 | − | 0.920656i | \(-0.372345\pi\) | |||||||
\(524\) | 0.386257 | − | 0.669016i | 0.0168737 | − | 0.0292261i | ||||
\(525\) | 0.748626 | − | 0.786033i | 0.0326727 | − | 0.0343053i | ||||
\(526\) | 16.7851 | + | 9.69087i | 0.731864 | + | 0.422542i | ||||
\(527\) | −0.749548 | − | 1.29825i | −0.0326508 | − | 0.0565529i | ||||
\(528\) | −0.280159 | + | 0.431727i | −0.0121924 | + | 0.0187885i | ||||
\(529\) | −38.0335 | −1.65363 | ||||||||
\(530\) | −16.6038 | −0.721224 | ||||||||
\(531\) | −1.87691 | + | 17.9748i | −0.0814511 | + | 0.780040i | ||||
\(532\) | −13.5924 | + | 15.8456i | −0.589307 | + | 0.686995i | ||||
\(533\) | 27.1211 | − | 1.21877i | 1.17475 | − | 0.0527906i | ||||
\(534\) | 1.28885 | − | 24.7531i | 0.0557738 | − | 1.07117i | ||||
\(535\) | 19.0915 | − | 33.0675i | 0.825399 | − | 1.42963i | ||||
\(536\) | −2.94347 | − | 1.69941i | −0.127139 | − | 0.0734035i | ||||
\(537\) | −14.9927 | − | 9.72914i | −0.646982 | − | 0.419843i | ||||
\(538\) | −27.9546 | −1.20521 | ||||||||
\(539\) | −0.316550 | − | 2.05576i | −0.0136348 | − | 0.0885477i | ||||
\(540\) | −9.24864 | − | 7.47384i | −0.397998 | − | 0.321623i | ||||
\(541\) | −15.7491 | − | 9.09276i | −0.677107 | − | 0.390928i | 0.121657 | − | 0.992572i | \(-0.461179\pi\) |
−0.798764 | + | 0.601644i | \(0.794513\pi\) | |||||||
\(542\) | 20.4588 | 0.878782 | ||||||||
\(543\) | −0.469894 | + | 9.02463i | −0.0201651 | + | 0.387284i | ||||
\(544\) | −0.893327 | −0.0383011 | ||||||||
\(545\) | 25.6410 | 1.09834 | ||||||||
\(546\) | −3.16136 | + | 16.2175i | −0.135294 | + | 0.694043i | ||||
\(547\) | 7.61792 | 0.325719 | 0.162859 | − | 0.986649i | \(-0.447928\pi\) | ||||
0.162859 | + | 0.986649i | \(0.447928\pi\) | |||||||
\(548\) | 2.58684 | 0.110505 | ||||||||
\(549\) | 23.1447 | − | 10.3235i | 0.987793 | − | 0.440596i | ||||
\(550\) | 0.0703847 | 0.00300121 | ||||||||
\(551\) | 7.74033 | + | 4.46888i | 0.329749 | + | 0.190381i | ||||
\(552\) | −0.703603 | + | 13.5132i | −0.0299473 | + | 0.575158i | ||||
\(553\) | −23.2200 | − | 4.35520i | −0.987416 | − | 0.185202i | ||||
\(554\) | −6.51069 | −0.276613 | ||||||||
\(555\) | −10.7861 | + | 16.6215i | −0.457844 | + | 0.705542i | ||||
\(556\) | 10.2034 | + | 5.89092i | 0.432719 | + | 0.249831i | ||||
\(557\) | −15.8600 | + | 27.4704i | −0.672011 | + | 1.16396i | 0.305322 | + | 0.952249i | \(0.401236\pi\) |
−0.977333 | + | 0.211708i | \(0.932097\pi\) | |||||||
\(558\) | 2.05075 | + | 4.59768i | 0.0868154 | + | 0.194635i | ||||
\(559\) | −11.8017 | + | 7.53965i | −0.499157 | + | 0.318893i | ||||
\(560\) | −1.11615 | + | 5.95083i | −0.0471660 | + | 0.251468i | ||||
\(561\) | −0.250274 | + | 0.385674i | −0.0105666 | + | 0.0162832i | ||||
\(562\) | 10.0287 | 0.423035 | ||||||||
\(563\) | 2.89827 | 0.122147 | 0.0610737 | − | 0.998133i | \(-0.480548\pi\) | ||||
0.0610737 | + | 0.998133i | \(0.480548\pi\) | |||||||
\(564\) | 8.74191 | + | 5.67285i | 0.368101 | + | 0.238870i | ||||
\(565\) | 9.60572 | + | 16.6376i | 0.404115 | + | 0.699949i | ||||
\(566\) | −19.8164 | − | 11.4410i | −0.832945 | − | 0.480901i | ||||
\(567\) | −3.08933 | − | 23.6105i | −0.129740 | − | 0.991548i | ||||
\(568\) | 1.14995 | − | 1.99178i | 0.0482510 | − | 0.0835732i | ||||
\(569\) | − | 37.8812i | − | 1.58806i | −0.607878 | − | 0.794030i | \(-0.707979\pi\) | ||
0.607878 | − | 0.794030i | \(-0.292021\pi\) | |||||||
\(570\) | 1.62627 | − | 31.2336i | 0.0681171 | − | 1.30823i | ||||
\(571\) | −13.5869 | − | 23.5332i | −0.568594 | − | 0.984834i | −0.996705 | − | 0.0811082i | \(-0.974154\pi\) |
0.428111 | − | 0.903726i | \(-0.359179\pi\) | |||||||
\(572\) | −0.902838 | + | 0.576790i | −0.0377496 | + | 0.0241168i | ||||
\(573\) | 40.6933 | − | 20.7516i | 1.69999 | − | 0.866912i | ||||
\(574\) | 15.1206 | + | 12.9705i | 0.631123 | + | 0.541380i | ||||
\(575\) | 1.60262 | − | 0.925274i | 0.0668340 | − | 0.0385866i | ||||
\(576\) | 2.98378 | + | 0.311563i | 0.124324 | + | 0.0129818i | ||||
\(577\) | −19.0478 | − | 32.9918i | −0.792972 | − | 1.37347i | −0.924119 | − | 0.382105i | \(-0.875199\pi\) |
0.131147 | − | 0.991363i | \(-0.458134\pi\) | |||||||
\(578\) | 16.2020 | 0.673913 | ||||||||
\(579\) | 4.65637 | + | 3.02164i | 0.193512 | + | 0.125575i | ||||
\(580\) | 2.59209 | 0.107631 | ||||||||
\(581\) | 3.86539 | − | 1.35947i | 0.160363 | − | 0.0564002i | ||||
\(582\) | 2.25051 | − | 3.46805i | 0.0932866 | − | 0.143755i | ||||
\(583\) | − | 2.15593i | − | 0.0892894i | ||||||
\(584\) | −6.16302 | − | 10.6747i | −0.255028 | − | 0.441721i | ||||
\(585\) | −11.0880 | − | 22.1308i | −0.458432 | − | 0.914994i | ||||
\(586\) | 17.4353 | + | 10.0663i | 0.720248 | + | 0.415835i | ||||
\(587\) | −19.1503 | + | 11.0565i | −0.790419 | + | 0.456349i | −0.840110 | − | 0.542416i | \(-0.817510\pi\) |
0.0496910 | + | 0.998765i | \(0.484176\pi\) | |||||||
\(588\) | −9.83694 | + | 7.08764i | −0.405669 | + | 0.292289i | ||||
\(589\) | −6.62068 | + | 11.4673i | −0.272800 | + | 0.472504i | ||||
\(590\) | −6.89293 | + | 11.9389i | −0.283777 | + | 0.491517i | ||||
\(591\) | −20.4377 | − | 40.0776i | −0.840694 | − | 1.64857i | ||||
\(592\) | − | 4.99903i | − | 0.205459i | ||||||
\(593\) | −22.7957 | − | 13.1611i | −0.936109 | − | 0.540463i | −0.0473705 | − | 0.998877i | \(-0.515084\pi\) |
−0.888738 | + | 0.458415i | \(0.848417\pi\) | |||||||
\(594\) | 0.970443 | − | 1.20089i | 0.0398178 | − | 0.0492732i | ||||
\(595\) | −0.997088 | + | 5.31604i | −0.0408766 | + | 0.217936i | ||||
\(596\) | 1.64375 | + | 2.84705i | 0.0673305 | + | 0.116620i | ||||
\(597\) | 0.499607 | − | 9.59529i | 0.0204476 | − | 0.392709i | ||||
\(598\) | −12.9747 | + | 25.0019i | −0.530574 | + | 1.02240i | ||||
\(599\) | 5.69118 | − | 3.28581i | 0.232536 | − | 0.134254i | −0.379206 | − | 0.925312i | \(-0.623803\pi\) |
0.611741 | + | 0.791058i | \(0.290469\pi\) | |||||||
\(600\) | −0.186386 | − | 0.365496i | −0.00760916 | − | 0.0149213i | ||||
\(601\) | 22.1774 | − | 12.8041i | 0.904634 | − | 0.522291i | 0.0259335 | − | 0.999664i | \(-0.491744\pi\) |
0.878701 | + | 0.477373i | \(0.158411\pi\) | |||||||
\(602\) | −10.1004 | − | 1.89445i | −0.411660 | − | 0.0772119i | ||||
\(603\) | 8.25319 | + | 5.98775i | 0.336096 | + | 0.243840i | ||||
\(604\) | 10.5899 | − | 6.11409i | 0.430897 | − | 0.248779i | ||||
\(605\) | − | 24.9706i | − | 1.01520i | ||||||
\(606\) | −17.7041 | + | 27.2821i | −0.719179 | + | 1.10826i | ||||
\(607\) | 36.9259 | − | 21.3192i | 1.49878 | − | 0.865320i | 0.498779 | − | 0.866729i | \(-0.333782\pi\) |
0.999999 | + | 0.00140959i | \(0.000448687\pi\) | |||||||
\(608\) | 3.94533 | + | 6.83352i | 0.160004 | + | 0.277136i | ||||
\(609\) | 3.75872 | + | 3.57984i | 0.152311 | + | 0.145062i | ||||
\(610\) | 19.3316 | 0.782714 | ||||||||
\(611\) | 11.6792 | + | 18.2813i | 0.472492 | + | 0.739582i | ||||
\(612\) | 2.66549 | + | 0.278328i | 0.107746 | + | 0.0112507i | ||||
\(613\) | −3.48038 | − | 2.00940i | −0.140571 | − | 0.0811588i | 0.428065 | − | 0.903748i | \(-0.359195\pi\) |
−0.568636 | + | 0.822589i | \(0.692529\pi\) | |||||||
\(614\) | −3.07801 | −0.124219 | ||||||||
\(615\) | −29.8046 | − | 1.55186i | −1.20184 | − | 0.0625772i | ||||
\(616\) | −0.772686 | − | 0.144927i | −0.0311324 | − | 0.00583927i | ||||
\(617\) | −12.9809 | + | 22.4837i | −0.522593 | + | 0.905158i | 0.477061 | + | 0.878870i | \(0.341702\pi\) |
−0.999654 | + | 0.0262879i | \(0.991631\pi\) | |||||||
\(618\) | 20.7864 | + | 13.4888i | 0.836152 | + | 0.542601i | ||||
\(619\) | 2.84282 | + | 4.92392i | 0.114263 | + | 0.197909i | 0.917485 | − | 0.397771i | \(-0.130216\pi\) |
−0.803222 | + | 0.595680i | \(0.796883\pi\) | |||||||
\(620\) | 3.84021i | 0.154226i | ||||||||
\(621\) | 6.30960 | − | 40.1011i | 0.253196 | − | 1.60920i | ||||
\(622\) | −7.75963 | − | 13.4401i | −0.311133 | − | 0.538898i | ||||
\(623\) | 35.7176 | − | 12.5620i | 1.43100 | − | 0.503285i | ||||
\(624\) | 5.38598 | + | 3.16089i | 0.215612 | + | 0.126537i | ||||
\(625\) | 13.0641 | − | 22.6277i | 0.522565 | − | 0.905109i | ||||
\(626\) | −13.7068 | − | 7.91361i | −0.547833 | − | 0.316291i | ||||
\(627\) | 4.05554 | + | 0.211164i | 0.161963 | + | 0.00843307i | ||||
\(628\) | −15.4715 | + | 8.93248i | −0.617380 | + | 0.356445i | ||||
\(629\) | − | 4.46577i | − | 0.178062i | ||||||
\(630\) | 5.18440 | − | 17.4082i | 0.206552 | − | 0.693559i | ||||
\(631\) | 11.9099 | + | 6.87621i | 0.474128 | + | 0.273738i | 0.717966 | − | 0.696078i | \(-0.245073\pi\) |
−0.243838 | + | 0.969816i | \(0.578407\pi\) | |||||||
\(632\) | −4.46469 | + | 7.73307i | −0.177596 | + | 0.307605i | ||||
\(633\) | 1.84188 | + | 3.61186i | 0.0732080 | + | 0.143558i | ||||
\(634\) | 6.47213 | − | 11.2101i | 0.257041 | − | 0.445208i | ||||
\(635\) | − | 12.0475i | − | 0.478092i | ||||||
\(636\) | −11.1954 | + | 5.70910i | −0.443925 | + | 0.226381i | ||||
\(637\) | −24.7473 | + | 4.95704i | −0.980523 | + | 0.196405i | ||||
\(638\) | 0.336571i | 0.0133250i | ||||||||
\(639\) | −4.05177 | + | 5.58474i | −0.160286 | + | 0.220929i | ||||
\(640\) | 1.98183 | + | 1.14421i | 0.0783388 | + | 0.0452289i | ||||
\(641\) | − | 6.28822i | − | 0.248370i | −0.992259 | − | 0.124185i | \(-0.960368\pi\) | ||
0.992259 | − | 0.124185i | \(-0.0396316\pi\) | |||||||
\(642\) | 1.50272 | − | 28.8608i | 0.0593077 | − | 1.13904i | ||||
\(643\) | −17.3160 | + | 29.9922i | −0.682877 | + | 1.18278i | 0.291222 | + | 0.956656i | \(0.405938\pi\) |
−0.974099 | + | 0.226122i | \(0.927395\pi\) | |||||||
\(644\) | −19.4989 | + | 6.85779i | −0.768363 | + | 0.270235i | ||||
\(645\) | 13.7151 | − | 6.99403i | 0.540030 | − | 0.275390i | ||||
\(646\) | 3.52448 | + | 6.10457i | 0.138669 | + | 0.240181i | ||||
\(647\) | −9.06347 | + | 15.6984i | −0.356322 | + | 0.617167i | −0.987343 | − | 0.158598i | \(-0.949303\pi\) |
0.631022 | + | 0.775765i | \(0.282636\pi\) | |||||||
\(648\) | −8.80586 | − | 1.85927i | −0.345927 | − | 0.0730391i | ||||
\(649\) | −1.55021 | − | 0.895014i | −0.0608511 | − | 0.0351324i | ||||
\(650\) | −0.0383409 | − | 0.853198i | −0.00150385 | − | 0.0334652i | ||||
\(651\) | −5.30356 | + | 5.56856i | −0.207863 | + | 0.218249i | ||||
\(652\) | −2.00708 | + | 1.15879i | −0.0786033 | + | 0.0453816i | ||||
\(653\) | 40.1546i | 1.57137i | 0.618627 | + | 0.785685i | \(0.287689\pi\) | ||||
−0.618627 | + | 0.785685i | \(0.712311\pi\) | |||||||
\(654\) | 17.2889 | − | 8.81649i | 0.676048 | − | 0.344752i | ||||
\(655\) | −1.53099 | + | 0.883918i | −0.0598208 | + | 0.0345375i | ||||
\(656\) | 6.52086 | − | 3.76482i | 0.254597 | − | 0.146992i | ||||
\(657\) | 15.0632 | + | 33.7710i | 0.587673 | + | 1.31753i | ||||
\(658\) | −2.93458 | + | 15.6459i | −0.114402 | + | 0.609940i | ||||
\(659\) | 15.7627 | + | 9.10062i | 0.614029 | + | 0.354510i | 0.774541 | − | 0.632524i | \(-0.217981\pi\) |
−0.160512 | + | 0.987034i | \(0.551314\pi\) | |||||||
\(660\) | 1.04922 | − | 0.535050i | 0.0408406 | − | 0.0208268i | ||||
\(661\) | 11.5569 | − | 20.0171i | 0.449510 | − | 0.778575i | −0.548844 | − | 0.835925i | \(-0.684932\pi\) |
0.998354 | + | 0.0573503i | \(0.0182652\pi\) | |||||||
\(662\) | −7.76227 | + | 4.48155i | −0.301689 | + | 0.174180i | ||||
\(663\) | 4.81144 | + | 2.82371i | 0.186861 | + | 0.109664i | ||||
\(664\) | − | 1.54870i | − | 0.0601014i | ||||||
\(665\) | 45.0687 | − | 15.8508i | 1.74769 | − | 0.614666i | ||||
\(666\) | −1.55751 | + | 14.9160i | −0.0603524 | + | 0.577983i | ||||
\(667\) | 4.42455 | + | 7.66355i | 0.171319 | + | 0.296734i | ||||
\(668\) | 11.5588 | − | 6.67349i | 0.447224 | − | 0.258205i | ||||
\(669\) | 1.17531 | + | 2.30474i | 0.0454401 | + | 0.0891065i | ||||
\(670\) | 3.88898 | + | 6.73591i | 0.150244 | + | 0.260231i | ||||
\(671\) | 2.51012i | 0.0969020i | ||||||||
\(672\) | 1.29357 | + | 4.39621i | 0.0499005 | + | 0.169588i | ||||
\(673\) | −18.1450 | − | 31.4281i | −0.699438 | − | 1.21146i | −0.968661 | − | 0.248385i | \(-0.920100\pi\) |
0.269223 | − | 0.963078i | \(-0.413233\pi\) | |||||||
\(674\) | 7.76837 | 0.299226 | ||||||||
\(675\) | 0.442258 | + | 1.14863i | 0.0170225 | + | 0.0442108i | ||||
\(676\) | 7.48361 | + | 10.6299i | 0.287831 | + | 0.408844i | ||||
\(677\) | −2.13681 | + | 3.70106i | −0.0821243 | + | 0.142243i | −0.904162 | − | 0.427189i | \(-0.859504\pi\) |
0.822038 | + | 0.569433i | \(0.192837\pi\) | |||||||
\(678\) | 12.1975 | + | 7.91528i | 0.468443 | + | 0.303985i | ||||
\(679\) | 6.20696 | + | 1.16419i | 0.238201 | + | 0.0446776i | ||||
\(680\) | 1.77042 | + | 1.02215i | 0.0678927 | + | 0.0391978i | ||||
\(681\) | 0.573773 | − | 11.0197i | 0.0219870 | − | 0.422276i | ||||
\(682\) | −0.498633 | −0.0190936 | ||||||||
\(683\) | −30.0773 | −1.15088 | −0.575438 | − | 0.817846i | \(-0.695168\pi\) | ||||
−0.575438 | + | 0.817846i | \(0.695168\pi\) | |||||||
\(684\) | −9.64293 | − | 21.6189i | −0.368706 | − | 0.826620i | ||||
\(685\) | −5.12669 | − | 2.95989i | −0.195881 | − | 0.113092i | ||||
\(686\) | −15.7284 | − | 9.77839i | −0.600514 | − | 0.373341i | ||||
\(687\) | −7.41801 | + | 11.4312i | −0.283015 | + | 0.436128i | ||||
\(688\) | −1.94207 | + | 3.36377i | −0.0740408 | + | 0.128242i | ||||
\(689\) | −26.1340 | + | 1.17441i | −0.995625 | + | 0.0447413i | ||||
\(690\) | 16.8563 | − | 25.9757i | 0.641709 | − | 0.988879i | ||||
\(691\) | −17.1832 | −0.653679 | −0.326840 | − | 0.945080i | \(-0.605984\pi\) | ||||
−0.326840 | + | 0.945080i | \(0.605984\pi\) | |||||||
\(692\) | 9.18090 | + | 15.9018i | 0.349006 | + | 0.604495i | ||||
\(693\) | 2.26037 | + | 0.673170i | 0.0858644 | + | 0.0255716i | ||||
\(694\) | 9.70091i | 0.368241i | ||||||||
\(695\) | −13.4809 | − | 23.3496i | −0.511360 | − | 0.885701i | ||||
\(696\) | 1.74776 | − | 0.891273i | 0.0662486 | − | 0.0337836i | ||||
\(697\) | 5.82526 | − | 3.36322i | 0.220648 | − | 0.127391i | ||||
\(698\) | −13.2526 | − | 22.9542i | −0.501619 | − | 0.868829i | ||||
\(699\) | −13.4993 | − | 8.76006i | −0.510591 | − | 0.331336i | ||||
\(700\) | 0.408037 | − | 0.475677i | 0.0154224 | − | 0.0179789i | ||||
\(701\) | 33.7755i | 1.27568i | 0.770167 | + | 0.637842i | \(0.220173\pi\) | ||||
−0.770167 | + | 0.637842i | \(0.779827\pi\) | |||||||
\(702\) | −15.0857 | − | 11.1095i | −0.569375 | − | 0.419300i | ||||
\(703\) | −34.1610 | + | 19.7228i | −1.28840 | + | 0.743861i | ||||
\(704\) | −0.148570 | + | 0.257331i | −0.00559945 | + | 0.00969854i | ||||
\(705\) | −10.8341 | − | 21.2452i | −0.408034 | − | 0.800142i | ||||
\(706\) | −22.1838 | − | 12.8078i | −0.834900 | − | 0.482030i | ||||
\(707\) | −48.8283 | − | 9.15835i | −1.83638 | − | 0.344435i | ||||
\(708\) | −0.542552 | + | 10.4201i | −0.0203904 | + | 0.391610i | ||||
\(709\) | −1.05799 | + | 0.610834i | −0.0397338 | + | 0.0229403i | −0.519735 | − | 0.854327i | \(-0.673969\pi\) |
0.480002 | + | 0.877268i | \(0.340636\pi\) | |||||||
\(710\) | −4.55803 | + | 2.63158i | −0.171060 | + | 0.0987614i | ||||
\(711\) | 15.7310 | − | 21.6827i | 0.589958 | − | 0.813166i | ||||
\(712\) | − | 14.3106i | − | 0.536312i | ||||||
\(713\) | −11.3536 | + | 6.55500i | −0.425196 | + | 0.245487i | ||||
\(714\) | 1.15558 | + | 3.92726i | 0.0432465 | + | 0.146974i | ||||
\(715\) | 2.44924 | − | 0.110064i | 0.0915965 | − | 0.00411615i | ||||
\(716\) | −8.93640 | − | 5.15943i | −0.333969 | − | 0.192817i | ||||
\(717\) | −39.1029 | − | 2.03601i | −1.46033 | − | 0.0760362i | ||||
\(718\) | −6.41408 | + | 11.1095i | −0.239371 | + | 0.414604i | ||||
\(719\) | −15.5184 | − | 26.8786i | −0.578738 | − | 1.00240i | −0.995624 | − | 0.0934449i | \(-0.970212\pi\) |
0.416887 | − | 0.908959i | \(-0.363121\pi\) | |||||||
\(720\) | −5.55685 | − | 4.03154i | −0.207092 | − | 0.150246i | ||||
\(721\) | −6.97780 | + | 37.2026i | −0.259867 | + | 1.38550i | ||||
\(722\) | 21.6313 | − | 37.4666i | 0.805035 | − | 1.39436i | ||||
\(723\) | 50.3127 | + | 2.61968i | 1.87115 | + | 0.0974270i | ||||
\(724\) | 5.21743i | 0.193904i | ||||||||
\(725\) | −0.232360 | − | 0.134153i | −0.00862964 | − | 0.00498232i | ||||
\(726\) | −8.58596 | − | 16.8368i | −0.318655 | − | 0.624872i | ||||
\(727\) | 33.4726i | 1.24143i | 0.784036 | + | 0.620716i | \(0.213158\pi\) | ||||
−0.784036 | + | 0.620716i | \(0.786842\pi\) | |||||||
\(728\) | −1.33588 | + | 9.44539i | −0.0495111 | + | 0.350069i | ||||
\(729\) | 25.6954 | + | 8.29123i | 0.951683 | + | 0.307083i | ||||
\(730\) | 28.2072i | 1.04399i | ||||||||
\(731\) | −1.73491 | + | 3.00495i | −0.0641678 | + | 0.111142i | ||||
\(732\) | 13.0346 | − | 6.64704i | 0.481773 | − | 0.245682i | ||||
\(733\) | −12.3342 | + | 21.3634i | −0.455573 | + | 0.789076i | −0.998721 | − | 0.0505610i | \(-0.983899\pi\) |
0.543148 | + | 0.839637i | \(0.317232\pi\) | |||||||
\(734\) | 21.2692 | + | 12.2798i | 0.785061 | + | 0.453255i | ||||
\(735\) | 27.6049 | − | 2.79096i | 1.01822 | − | 0.102946i | ||||
\(736\) | 7.81240i | 0.287969i | ||||||||
\(737\) | −0.874625 | + | 0.504965i | −0.0322172 | + | 0.0186006i | ||||
\(738\) | −20.6298 | + | 9.20173i | −0.759392 | + | 0.338720i | ||||
\(739\) | 38.5610 | + | 22.2632i | 1.41849 | + | 0.818964i | 0.996166 | − | 0.0874820i | \(-0.0278820\pi\) |
0.422321 | + | 0.906446i | \(0.361215\pi\) | |||||||
\(740\) | −5.71994 | + | 9.90723i | −0.210269 | + | 0.364197i | ||||
\(741\) | 0.350522 | − | 49.2760i | 0.0128768 | − | 1.81020i | ||||
\(742\) | −14.5703 | − | 12.4984i | −0.534892 | − | 0.458832i | ||||
\(743\) | 19.9258 | + | 34.5124i | 0.731006 | + | 1.26614i | 0.956454 | + | 0.291884i | \(0.0942820\pi\) |
−0.225448 | + | 0.974255i | \(0.572385\pi\) | |||||||
\(744\) | 1.32043 | + | 2.58932i | 0.0484092 | + | 0.0949289i | ||||
\(745\) | − | 7.52318i | − | 0.275628i | ||||||
\(746\) | −10.7383 | − | 18.5993i | −0.393158 | − | 0.680969i | ||||
\(747\) | −0.482519 | + | 4.62099i | −0.0176545 | + | 0.169073i | ||||
\(748\) | −0.132722 | + | 0.229881i | −0.00485279 | + | 0.00840529i | ||||
\(749\) | 41.6447 | − | 14.6465i | 1.52166 | − | 0.535173i | ||||
\(750\) | 0.981684 | − | 18.8539i | 0.0358460 | − | 0.688447i | ||||
\(751\) | −17.9853 | −0.656292 | −0.328146 | − | 0.944627i | \(-0.606424\pi\) | ||||
−0.328146 | + | 0.944627i | \(0.606424\pi\) | |||||||
\(752\) | 5.21062 | + | 3.00835i | 0.190012 | + | 0.109703i | ||||
\(753\) | 12.9935 | − | 20.0231i | 0.473510 | − | 0.729683i | ||||
\(754\) | 4.07989 | − | 0.183342i | 0.148581 | − | 0.00667691i | ||||
\(755\) | −27.9832 | −1.01841 | ||||||||
\(756\) | −2.49002 | − | 13.5203i | −0.0905612 | − | 0.491730i | ||||
\(757\) | 20.2665 | + | 35.1027i | 0.736600 | + | 1.27583i | 0.954018 | + | 0.299750i | \(0.0969034\pi\) |
−0.217417 | + | 0.976079i | \(0.569763\pi\) | |||||||
\(758\) | 13.9171 | − | 8.03505i | 0.505492 | − | 0.291846i | ||||
\(759\) | 3.37283 | + | 2.18871i | 0.122426 | + | 0.0794453i | ||||
\(760\) | − | 18.0572i | − | 0.655003i | ||||||
\(761\) | −1.19636 | + | 0.690718i | −0.0433680 | + | 0.0250385i | −0.521527 | − | 0.853235i | \(-0.674638\pi\) |
0.478159 | + | 0.878273i | \(0.341304\pi\) | |||||||
\(762\) | −4.14246 | − | 8.12322i | −0.150065 | − | 0.294273i | ||||
\(763\) | 22.5007 | + | 19.3012i | 0.814579 | + | 0.698749i | ||||
\(764\) | 22.8395 | − | 13.1864i | 0.826305 | − | 0.477067i | ||||
\(765\) | −4.96409 | − | 3.60148i | −0.179477 | − | 0.130212i | ||||
\(766\) | −23.1968 | + | 13.3927i | −0.838136 | + | 0.483898i | ||||
\(767\) | −10.0048 | + | 19.2791i | −0.361254 | + | 0.696127i | ||||
\(768\) | 1.72971 | + | 0.0900624i | 0.0624155 | + | 0.00324985i | ||||
\(769\) | −3.70242 | − | 6.41278i | −0.133513 | − | 0.231251i | 0.791516 | − | 0.611149i | \(-0.209292\pi\) |
−0.925028 | + | 0.379898i | \(0.875959\pi\) | |||||||
\(770\) | 1.36551 | + | 1.17134i | 0.0492095 | + | 0.0422120i | ||||
\(771\) | −9.72863 | − | 0.506550i | −0.350368 | − | 0.0182430i | ||||
\(772\) | 2.77543 | + | 1.60239i | 0.0998899 | + | 0.0576714i | ||||
\(773\) | 5.44545i | 0.195859i | 0.995193 | + | 0.0979297i | \(0.0312220\pi\) | ||||
−0.995193 | + | 0.0979297i | \(0.968778\pi\) | |||||||
\(774\) | 6.84274 | − | 9.43166i | 0.245957 | − | 0.339014i | ||||
\(775\) | 0.198749 | − | 0.344243i | 0.00713927 | − | 0.0123656i | ||||
\(776\) | 1.19346 | − | 2.06713i | 0.0428427 | − | 0.0742058i | ||||
\(777\) | −21.9768 | + | 6.46658i | −0.788413 | + | 0.231987i | ||||
\(778\) | 3.67405 | − | 2.12122i | 0.131721 | − | 0.0760493i | ||||
\(779\) | −51.4539 | − | 29.7069i | −1.84353 | − | 1.06436i | ||||
\(780\) | −7.05738 | − | 12.4270i | −0.252695 | − | 0.444960i | ||||
\(781\) | −0.341698 | − | 0.591838i | −0.0122269 | − | 0.0211776i | ||||
\(782\) | 6.97903i | 0.249570i | ||||||||
\(783\) | −5.49261 | + | 2.11482i | −0.196290 | + | 0.0755777i | ||||
\(784\) | −5.45890 | + | 4.38183i | −0.194961 | + | 0.156494i | ||||
\(785\) | 40.8825 | 1.45916 | ||||||||
\(786\) | −0.728364 | + | 1.12242i | −0.0259799 | + | 0.0400352i | ||||
\(787\) | 33.5494 | 1.19591 | 0.597953 | − | 0.801531i | \(-0.295981\pi\) | ||||
0.597953 | + | 0.801531i | \(0.295981\pi\) | |||||||
\(788\) | −12.9869 | − | 22.4940i | −0.462639 | − | 0.801314i | ||||
\(789\) | −28.1605 | − | 18.2741i | −1.00254 | − | 0.650574i | ||||
\(790\) | 17.6965 | − | 10.2171i | 0.629614 | − | 0.363508i | ||||
\(791\) | −4.09459 | + | 21.8306i | −0.145587 | + | 0.776205i | ||||
\(792\) | 0.523476 | − | 0.721530i | 0.0186009 | − | 0.0256385i | ||||
\(793\) | 30.4274 | − | 1.36735i | 1.08051 | − | 0.0485558i | ||||
\(794\) | 0.355073 | + | 0.615005i | 0.0126011 | + | 0.0218257i | ||||
\(795\) | 28.7198 | + | 1.49538i | 1.01858 | + | 0.0530356i | ||||
\(796\) | − | 5.54735i | − | 0.196621i | ||||||
\(797\) | −16.9758 | + | 29.4030i | −0.601315 | + | 1.04151i | 0.391308 | + | 0.920260i | \(0.372023\pi\) |
−0.992622 | + | 0.121248i | \(0.961310\pi\) | |||||||
\(798\) | 24.9380 | − | 26.1841i | 0.882797 | − | 0.926909i | ||||
\(799\) | 4.65479 | + | 2.68744i | 0.164675 | + | 0.0950750i | ||||
\(800\) | −0.118437 | − | 0.205138i | −0.00418737 | − | 0.00725273i | ||||
\(801\) | −4.45865 | + | 42.6996i | −0.157539 | + | 1.50872i | ||||
\(802\) | 15.2330 | 0.537897 | ||||||||
\(803\) | −3.66257 | −0.129249 | ||||||||
\(804\) | 4.93829 | + | 3.20459i | 0.174160 | + | 0.113017i | ||||
\(805\) | 46.4902 | + | 8.71981i | 1.63856 | + | 0.307333i | ||||
\(806\) | 0.271622 | + | 6.04439i | 0.00956747 | + | 0.212904i | ||||
\(807\) | 48.3533 | + | 2.51766i | 1.70212 | + | 0.0886257i | ||||
\(808\) | −9.38860 | + | 16.2615i | −0.330290 | + | 0.572078i | ||||
\(809\) | 21.4031 | + | 12.3571i | 0.752494 | + | 0.434453i | 0.826594 | − | 0.562798i | \(-0.190275\pi\) |
−0.0741003 | + | 0.997251i | \(0.523608\pi\) | |||||||
\(810\) | 15.3243 | + | 13.7605i | 0.538442 | + | 0.483495i | ||||
\(811\) | 17.8537 | 0.626927 | 0.313464 | − | 0.949600i | \(-0.398511\pi\) | ||||
0.313464 | + | 0.949600i | \(0.398511\pi\) | |||||||
\(812\) | 2.27463 | + | 1.95118i | 0.0798238 | + | 0.0684732i | ||||
\(813\) | −35.3878 | − | 1.84257i | −1.24110 | − | 0.0646218i | ||||
\(814\) | −1.28641 | − | 0.742707i | −0.0450885 | − | 0.0260319i | ||||
\(815\) | 5.30359 | 0.185777 | ||||||||
\(816\) | 1.54520 | + | 0.0804552i | 0.0540927 | + | 0.00281650i | ||||
\(817\) | 30.6485 | 1.07226 | ||||||||
\(818\) | −26.0063 | −0.909289 | ||||||||
\(819\) | 6.92882 | − | 27.7667i | 0.242112 | − | 0.970248i | ||||
\(820\) | −17.2310 | −0.601732 | ||||||||
\(821\) | 32.4385 | 1.13211 | 0.566056 | − | 0.824367i | \(-0.308469\pi\) | ||||
0.566056 | + | 0.824367i | \(0.308469\pi\) | |||||||
\(822\) | −4.47448 | − | 0.232977i | −0.156066 | − | 0.00812602i | ||||
\(823\) | 23.5865 | 0.822175 | 0.411087 | − | 0.911596i | \(-0.365149\pi\) | ||||
0.411087 | + | 0.911596i | \(0.365149\pi\) | |||||||
\(824\) | 12.3898 | + | 7.15323i | 0.431618 | + | 0.249194i | ||||
\(825\) | −0.121745 | − | 0.00633901i | −0.00423861 | − | 0.000220696i | ||||
\(826\) | −15.0357 | + | 5.28808i | −0.523158 | + | 0.183996i | ||||
\(827\) | −11.5185 | −0.400539 | −0.200269 | − | 0.979741i | \(-0.564182\pi\) | ||||
−0.200269 | + | 0.979741i | \(0.564182\pi\) | |||||||
\(828\) | 2.43406 | − | 23.3105i | 0.0845893 | − | 0.810094i | ||||
\(829\) | −31.6004 | − | 18.2445i | −1.09753 | − | 0.633657i | −0.161956 | − | 0.986798i | \(-0.551780\pi\) |
−0.935570 | + | 0.353141i | \(0.885114\pi\) | |||||||
\(830\) | −1.77204 | + | 3.06927i | −0.0615086 | + | 0.106536i | ||||
\(831\) | 11.2616 | + | 0.586369i | 0.390660 | + | 0.0203409i | ||||
\(832\) | 3.20028 | + | 1.66078i | 0.110950 | + | 0.0575772i | ||||
\(833\) | −4.87659 | + | 3.91440i | −0.168964 | + | 0.135626i | ||||
\(834\) | −17.1183 | − | 11.1085i | −0.592758 | − | 0.384656i | ||||
\(835\) | −30.5435 | −1.05700 | ||||||||
\(836\) | 2.34464 | 0.0810910 | ||||||||
\(837\) | −3.13313 | − | 8.13734i | −0.108297 | − | 0.281268i | ||||
\(838\) | 4.44170 | + | 7.69326i | 0.153436 | + | 0.265759i | ||||
\(839\) | −27.0771 | − | 15.6330i | −0.934807 | − | 0.539711i | −0.0464780 | − | 0.998919i | \(-0.514800\pi\) |
−0.888329 | + | 0.459209i | \(0.848133\pi\) | |||||||
\(840\) | 2.46656 | − | 10.1927i | 0.0851044 | − | 0.351680i | ||||
\(841\) | −13.8585 | + | 24.0036i | −0.477879 | + | 0.827711i | ||||
\(842\) | 11.9274i | 0.411047i | ||||||||
\(843\) | −17.3467 | − | 0.903208i | −0.597452 | − | 0.0311081i | ||||
\(844\) | 1.17040 | + | 2.02719i | 0.0402868 | + | 0.0697788i | ||||
\(845\) | −2.66837 | − | 29.6296i | −0.0917947 | − | 1.01929i | ||||
\(846\) | −14.6100 | − | 10.5997i | −0.502304 | − | 0.364425i | ||||
\(847\) | 18.7965 | − | 21.9123i | 0.645854 | − | 0.752917i | ||||
\(848\) | −6.28351 | + | 3.62779i | −0.215777 | + | 0.124579i | ||||
\(849\) | 33.2462 | + | 21.5743i | 1.14100 | + | 0.740428i | ||||
\(850\) | −0.105803 | − | 0.183256i | −0.00362900 | − | 0.00628562i | ||||
\(851\) | −39.0544 | −1.33877 | ||||||||
\(852\) | −2.16847 | + | 3.34163i | −0.0742905 | + | 0.114482i | ||||
\(853\) | −33.1802 | −1.13607 | −0.568034 | − | 0.823005i | \(-0.692296\pi\) | ||||
−0.568034 | + | 0.823005i | \(0.692296\pi\) | |||||||
\(854\) | 16.9640 | + | 14.5518i | 0.580495 | + | 0.497951i | ||||
\(855\) | −5.62595 | + | 53.8786i | −0.192403 | + | 1.84261i | ||||
\(856\) | − | 16.6853i | − | 0.570293i | ||||||
\(857\) | −3.94184 | − | 6.82747i | −0.134651 | − | 0.233222i | 0.790813 | − | 0.612058i | \(-0.209658\pi\) |
−0.925464 | + | 0.378836i | \(0.876325\pi\) | |||||||
\(858\) | 1.61359 | − | 0.916367i | 0.0550872 | − | 0.0312842i | ||||
\(859\) | −16.8815 | − | 9.74653i | −0.575989 | − | 0.332547i | 0.183549 | − | 0.983011i | \(-0.441241\pi\) |
−0.759538 | + | 0.650463i | \(0.774575\pi\) | |||||||
\(860\) | 7.69772 | − | 4.44428i | 0.262490 | − | 0.151549i | ||||
\(861\) | −24.9861 | − | 23.7970i | −0.851525 | − | 0.811001i | ||||
\(862\) | −9.74149 | + | 16.8728i | −0.331796 | + | 0.574688i | ||||
\(863\) | −5.07880 | + | 8.79674i | −0.172884 | + | 0.299445i | −0.939427 | − | 0.342749i | \(-0.888642\pi\) |
0.766543 | + | 0.642193i | \(0.221975\pi\) | |||||||
\(864\) | −5.13300 | − | 0.807639i | −0.174628 | − | 0.0274765i | ||||
\(865\) | − | 42.0196i | − | 1.42871i | ||||||
\(866\) | 15.8703 | + | 9.16273i | 0.539295 | + | 0.311362i | ||||
\(867\) | −28.0247 | − | 1.45919i | −0.951768 | − | 0.0495566i | ||||
\(868\) | −2.89069 | + | 3.36988i | −0.0981166 | + | 0.114381i | ||||
\(869\) | 1.32664 | + | 2.29781i | 0.0450032 | + | 0.0779479i | ||||
\(870\) | −4.48357 | − | 0.233450i | −0.152007 | − | 0.00791470i | ||||
\(871\) | 6.59759 | + | 10.3271i | 0.223551 | + | 0.349919i | ||||
\(872\) | 9.70354 | − | 5.60234i | 0.328603 | − | 0.189719i | ||||
\(873\) | −4.20506 | + | 5.79603i | −0.142320 | + | 0.196166i | ||||
\(874\) | 53.3862 | − | 30.8225i | 1.80581 | − | 1.04259i | ||||
\(875\) | 27.2053 | − | 9.56816i | 0.919706 | − | 0.323463i | ||||
\(876\) | 9.69883 | + | 19.0191i | 0.327693 | + | 0.642596i | ||||
\(877\) | 7.28663 | − | 4.20694i | 0.246052 | − | 0.142058i | −0.371903 | − | 0.928272i | \(-0.621295\pi\) |
0.617955 | + | 0.786213i | \(0.287961\pi\) | |||||||
\(878\) | 2.49215i | 0.0841061i | ||||||||
\(879\) | −29.2515 | − | 18.9820i | −0.986627 | − | 0.640248i | ||||
\(880\) | 0.588883 | − | 0.339992i | 0.0198512 | − | 0.0114611i | ||||
\(881\) | −3.40189 | − | 5.89224i | −0.114612 | − | 0.198515i | 0.803012 | − | 0.595962i | \(-0.203229\pi\) |
−0.917625 | + | 0.397448i | \(0.869896\pi\) | |||||||
\(882\) | 17.6534 | − | 11.3736i | 0.594420 | − | 0.382969i | ||||
\(883\) | −8.76402 | −0.294933 | −0.147466 | − | 0.989067i | \(-0.547112\pi\) | ||||
−0.147466 | + | 0.989067i | \(0.547112\pi\) | |||||||
\(884\) | 2.85890 | + | 1.48362i | 0.0961552 | + | 0.0498996i | ||||
\(885\) | 12.9980 | − | 20.0300i | 0.436923 | − | 0.673302i | ||||
\(886\) | 14.4424 | + | 8.33832i | 0.485202 | + | 0.280131i | ||||
\(887\) | −19.4033 | −0.651499 | −0.325749 | − | 0.945456i | \(-0.605617\pi\) | ||||
−0.325749 | + | 0.945456i | \(0.605617\pi\) | |||||||
\(888\) | −0.450224 | + | 8.64686i | −0.0151085 | + | 0.290170i | ||||
\(889\) | 9.06871 | − | 10.5720i | 0.304155 | − | 0.354574i | ||||
\(890\) | −16.3743 | + | 28.3612i | −0.548869 | + | 0.950669i | ||||
\(891\) | −1.78674 | + | 1.98979i | −0.0598580 | + | 0.0666605i | ||||
\(892\) | 0.746837 | + | 1.29356i | 0.0250060 | + | 0.0433116i | ||||
\(893\) | − | 47.4758i | − | 1.58872i | ||||||
\(894\) | −2.58679 | − | 5.07261i | −0.0865152 | − | 0.169654i | ||||
\(895\) | 11.8070 | + | 20.4502i | 0.394663 | + | 0.683576i | ||||
\(896\) | 0.877809 | + | 2.49589i | 0.0293256 | + | 0.0833817i | ||||
\(897\) | 24.6941 | − | 42.0774i | 0.824513 | − | 1.40492i | ||||
\(898\) | −18.5701 | + | 32.1643i | −0.619691 | + | 1.07334i | ||||
\(899\) | 1.64613 | + | 0.950393i | 0.0549015 | + | 0.0316974i | ||||
\(900\) | 0.289475 | + | 0.648988i | 0.00964917 | + | 0.0216329i | ||||
\(901\) | −5.61323 | + | 3.24080i | −0.187004 | + | 0.107967i | ||||
\(902\) | − | 2.23736i | − | 0.0744960i | ||||||
\(903\) | 17.3000 | + | 4.18650i | 0.575709 | + | 0.139318i | ||||
\(904\) | 7.27033 | + | 4.19753i | 0.241808 | + | 0.139608i | ||||
\(905\) | 5.96984 | − | 10.3401i | 0.198444 | − | 0.343716i | ||||
\(906\) | −18.8681 | + | 9.62183i | −0.626851 | + | 0.319664i | ||||
\(907\) | 8.31021 | − | 14.3937i | 0.275936 | − | 0.477935i | −0.694435 | − | 0.719555i | \(-0.744346\pi\) |
0.970371 | + | 0.241621i | \(0.0776789\pi\) | |||||||
\(908\) | − | 6.37084i | − | 0.211424i | ||||||
\(909\) | 33.0800 | − | 45.5956i | 1.09719 | − | 1.51231i | ||||
\(910\) | 13.4550 | − | 17.1906i | 0.446029 | − | 0.569864i | ||||
\(911\) | − | 17.4495i | − | 0.578127i | −0.957310 | − | 0.289063i | \(-0.906656\pi\) | ||
0.957310 | − | 0.289063i | \(-0.0933439\pi\) | |||||||
\(912\) | −6.20883 | − | 12.1753i | −0.205595 | − | 0.403165i | ||||
\(913\) | −0.398530 | − | 0.230092i | −0.0131894 | − | 0.00761492i | ||||
\(914\) | 16.1075i | 0.532788i | ||||||||
\(915\) | −33.4380 | − | 1.74105i | −1.10543 | − | 0.0575574i | ||||
\(916\) | −3.93382 | + | 6.81358i | −0.129977 | + | 0.225127i | ||||
\(917\) | −2.00885 | − | 0.376784i | −0.0663380 | − | 0.0124425i | ||||
\(918\) | −4.58545 | − | 0.721486i | −0.151342 | − | 0.0238126i | ||||
\(919\) | −8.08828 | − | 14.0093i | −0.266808 | − | 0.462125i | 0.701228 | − | 0.712937i | \(-0.252636\pi\) |
−0.968036 | + | 0.250813i | \(0.919302\pi\) | |||||||
\(920\) | 8.93903 | − | 15.4829i | 0.294711 | − | 0.510454i | ||||
\(921\) | 5.32406 | + | 0.277213i | 0.175434 | + | 0.00913449i | ||||
\(922\) | −12.1978 | − | 7.04240i | −0.401713 | − | 0.231929i | ||||
\(923\) | −6.98809 | + | 4.46443i | −0.230016 | + | 0.146949i | ||||
\(924\) | 1.32347 | + | 0.320271i | 0.0435389 | + | 0.0105361i | ||||
\(925\) | 1.02549 | − | 0.592068i | 0.0337180 | − | 0.0194671i | ||||
\(926\) | 20.5027i | 0.673761i | ||||||||
\(927\) | −34.7396 | − | 25.2038i | −1.14100 | − | 0.827802i | ||||
\(928\) | 0.980947 | − | 0.566350i | 0.0322012 | − | 0.0185913i | ||||
\(929\) | −16.6028 | + | 9.58566i | −0.544722 | + | 0.314495i | −0.746990 | − | 0.664835i | \(-0.768502\pi\) |
0.202269 | + | 0.979330i | \(0.435169\pi\) | |||||||
\(930\) | 0.345858 | − | 6.64244i | 0.0113411 | − | 0.217814i | ||||
\(931\) | 51.4805 | + | 20.0157i | 1.68720 | + | 0.655989i | ||||
\(932\) | −8.04627 | − | 4.64552i | −0.263564 | − | 0.152169i | ||||
\(933\) | 12.2115 | + | 23.9463i | 0.399785 | + | 0.783965i | ||||
\(934\) | 2.86923 | − | 4.96965i | 0.0938840 | − | 0.162612i | ||||
\(935\) | 0.526065 | − | 0.303724i | 0.0172042 | − | 0.00993283i | ||||
\(936\) | −9.03149 | − | 5.95249i | −0.295204 | − | 0.194563i | ||||
\(937\) | − | 38.4000i | − | 1.25447i | −0.778828 | − | 0.627237i | \(-0.784186\pi\) | ||
0.778828 | − | 0.627237i | \(-0.215814\pi\) | |||||||
\(938\) | −1.65774 | + | 8.83834i | −0.0541271 | + | 0.288582i | ||||
\(939\) | 22.9960 | + | 14.9227i | 0.750446 | + | 0.486984i | ||||
\(940\) | −6.88438 | − | 11.9241i | −0.224544 | − | 0.388921i | ||||
\(941\) | 6.21610 | − | 3.58887i | 0.202639 | − | 0.116994i | −0.395247 | − | 0.918575i | \(-0.629341\pi\) |
0.597886 | + | 0.801581i | \(0.296008\pi\) | |||||||
\(942\) | 27.5657 | − | 14.0572i | 0.898138 | − | 0.458008i | ||||
\(943\) | −29.4123 | − | 50.9435i | −0.957795 | − | 1.65895i | ||||
\(944\) | 6.02418i | 0.196070i | ||||||||
\(945\) | −10.5353 | + | 29.6442i | −0.342714 | + | 0.964324i | ||||
\(946\) | 0.577069 | + | 0.999512i | 0.0187621 | + | 0.0324970i | ||||
\(947\) | −24.7971 | −0.805799 | −0.402899 | − | 0.915244i | \(-0.631998\pi\) | ||||
−0.402899 | + | 0.915244i | \(0.631998\pi\) | |||||||
\(948\) | 8.41907 | − | 12.9739i | 0.273439 | − | 0.421371i | ||||
\(949\) | 1.99512 | + | 44.3974i | 0.0647644 | + | 1.44120i | ||||
\(950\) | −0.934544 | + | 1.61868i | −0.0303206 | + | 0.0525169i | ||||
\(951\) | −12.2045 | + | 18.8072i | −0.395758 | + | 0.609866i | ||||
\(952\) | 0.784171 | + | 2.22964i | 0.0254151 | + | 0.0722632i | ||||
\(953\) | −17.1692 | − | 9.91265i | −0.556165 | − | 0.321102i | 0.195440 | − | 0.980716i | \(-0.437387\pi\) |
−0.751605 | + | 0.659614i | \(0.770720\pi\) | |||||||
\(954\) | 19.8789 | − | 8.86680i | 0.643603 | − | 0.287073i | ||||
\(955\) | −60.3521 | −1.95295 | ||||||||
\(956\) | −22.6067 | −0.731152 | ||||||||
\(957\) | 0.0303124 | − | 0.582170i | 0.000979861 | − | 0.0188189i | ||||
\(958\) | −24.3944 | − | 14.0841i | −0.788147 | − | 0.455037i | ||||
\(959\) | −2.27076 | − | 6.45647i | −0.0733265 | − | 0.208490i | ||||
\(960\) | −3.32494 | − | 2.15764i | −0.107312 | − | 0.0696375i | ||||
\(961\) | 14.0920 | − | 24.4080i | 0.454580 | − | 0.787356i | ||||
\(962\) | −8.30229 | + | 15.9983i | −0.267677 | + | 0.515806i | ||||
\(963\) | −5.19854 | + | 49.7853i | −0.167521 | + | 1.60431i | ||||
\(964\) | 29.0874 | 0.936842 | ||||||||
\(965\) | −3.66695 | − | 6.35135i | −0.118043 | − | 0.204457i | ||||
\(966\) | 34.3450 | − | 10.1059i | 1.10503 | − | 0.325151i | ||||
\(967\) | 4.47698i | 0.143970i | 0.997406 | + | 0.0719849i | \(0.0229333\pi\) | ||||
−0.997406 | + | 0.0719849i | \(0.977067\pi\) | |||||||
\(968\) | −5.45585 | − | 9.44982i | −0.175358 | − | 0.303729i | ||||
\(969\) | −5.54652 | − | 10.8765i | −0.178180 | − | 0.349405i | ||||
\(970\) | −4.73047 | + | 2.73114i | −0.151886 | + | 0.0876917i | ||||
\(971\) | −6.27077 | − | 10.8613i | −0.201239 | − | 0.348556i | 0.747689 | − | 0.664049i | \(-0.231163\pi\) |
−0.948928 | + | 0.315493i | \(0.897830\pi\) | |||||||
\(972\) | 15.0641 | + | 4.00907i | 0.483181 | + | 0.128591i | ||||
\(973\) | 5.74645 | − | 30.6375i | 0.184223 | − | 0.982195i | ||||
\(974\) | − | 29.7095i | − | 0.951954i | ||||||
\(975\) | −0.0105225 | + | 1.47924i | −0.000336989 | + | 0.0473735i | ||||
\(976\) | 7.31581 | − | 4.22379i | 0.234173 | − | 0.135200i | ||||
\(977\) | −27.3010 | + | 47.2868i | −0.873437 | + | 1.51284i | −0.0150192 | + | 0.999887i | \(0.504781\pi\) |
−0.858418 | + | 0.512951i | \(0.828552\pi\) | |||||||
\(978\) | 3.57602 | − | 1.82360i | 0.114349 | − | 0.0583123i | ||||
\(979\) | −3.68256 | − | 2.12613i | −0.117695 | − | 0.0679514i | ||||
\(980\) | 15.8324 | − | 2.43790i | 0.505746 | − | 0.0778760i | ||||
\(981\) | −30.6987 | + | 13.6929i | −0.980134 | + | 0.437180i | ||||
\(982\) | −35.4120 | + | 20.4451i | −1.13004 | + | 0.652430i | ||||
\(983\) | 40.1578 | − | 23.1851i | 1.28083 | − | 0.739490i | 0.303833 | − | 0.952725i | \(-0.401734\pi\) |
0.977001 | + | 0.213236i | \(0.0684002\pi\) | |||||||
\(984\) | −11.6183 | + | 5.92475i | −0.370376 | + | 0.188874i | ||||
\(985\) | 59.4390i | 1.89388i | ||||||||
\(986\) | 0.876307 | − | 0.505936i | 0.0279073 | − | 0.0161123i | ||||
\(987\) | 6.48507 | − | 26.7985i | 0.206422 | − | 0.853006i | ||||
\(988\) | −1.27720 | − | 28.4215i | −0.0406332 | − | 0.904209i | ||||
\(989\) | 26.2791 | + | 15.1722i | 0.835627 | + | 0.482449i | ||||
\(990\) | −1.86302 | + | 0.830985i | −0.0592108 | + | 0.0264104i | ||||
\(991\) | −4.20625 | + | 7.28544i | −0.133616 | + | 0.231430i | −0.925068 | − | 0.379802i | \(-0.875992\pi\) |
0.791452 | + | 0.611231i | \(0.209326\pi\) | |||||||
\(992\) | 0.839051 | + | 1.45328i | 0.0266399 | + | 0.0461417i | ||||
\(993\) | 13.8301 | − | 7.05268i | 0.438884 | − | 0.223810i | ||||
\(994\) | −5.98070 | − | 1.12175i | −0.189696 | − | 0.0355798i | ||||
\(995\) | −6.34734 | + | 10.9939i | −0.201224 | + | 0.348530i | ||||
\(996\) | −0.139480 | + | 2.67881i | −0.00441959 | + | 0.0848812i | ||||
\(997\) | 61.7989i | 1.95719i | 0.205796 | + | 0.978595i | \(0.434022\pi\) | ||||
−0.205796 | + | 0.978595i | \(0.565978\pi\) | |||||||
\(998\) | −11.0351 | − | 6.37111i | −0.349310 | − | 0.201674i | ||||
\(999\) | 4.03741 | − | 25.6600i | 0.127738 | − | 0.811847i |
(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 | 546.2.bi.e.257.17 | yes | 34 | |
3.2 | odd | 2 | 546.2.bi.f.257.11 | yes | 34 | ||
7.3 | odd | 6 | 546.2.bn.f.101.11 | yes | 34 | ||
13.4 | even | 6 | 546.2.bn.e.173.7 | yes | 34 | ||
21.17 | even | 6 | 546.2.bn.e.101.7 | yes | 34 | ||
39.17 | odd | 6 | 546.2.bn.f.173.11 | yes | 34 | ||
91.17 | odd | 6 | 546.2.bi.f.17.11 | yes | 34 | ||
273.17 | even | 6 | inner | 546.2.bi.e.17.17 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.17 | ✓ | 34 | 273.17 | even | 6 | inner | |
546.2.bi.e.257.17 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bi.f.17.11 | yes | 34 | 91.17 | odd | 6 | ||
546.2.bi.f.257.11 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bn.e.101.7 | yes | 34 | 21.17 | even | 6 | ||
546.2.bn.e.173.7 | yes | 34 | 13.4 | even | 6 | ||
546.2.bn.f.101.11 | yes | 34 | 7.3 | odd | 6 | ||
546.2.bn.f.173.11 | yes | 34 | 39.17 | odd | 6 |