Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(8,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.j (of order \(4\), 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: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 92.11 | ||
Character | \(\chi\) | \(=\) | 105.92 |
Dual form | 105.2.j.a.8.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.54414 | − | 1.54414i | 1.09187 | − | 1.09187i | 0.0965442 | − | 0.995329i | \(-0.469221\pi\) |
0.995329 | − | 0.0965442i | \(-0.0307789\pi\) | |||||||
\(3\) | −1.73204 | + | 0.00622252i | −0.999994 | + | 0.00359257i | ||||
\(4\) | − | 2.76875i | − | 1.38437i | ||||||
\(5\) | −0.252500 | − | 2.22177i | −0.112921 | − | 0.993604i | ||||
\(6\) | −2.66491 | + | 2.68412i | −1.08794 | + | 1.09579i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | −1.18705 | − | 1.18705i | −0.419686 | − | 0.419686i | ||||
\(9\) | 2.99992 | − | 0.0215553i | 0.999974 | − | 0.00718510i | ||||
\(10\) | −3.82062 | − | 3.04083i | −1.20819 | − | 0.961593i | ||||
\(11\) | 3.38507i | 1.02064i | 0.859986 | + | 0.510318i | \(0.170472\pi\) | ||||
−0.859986 | + | 0.510318i | \(0.829528\pi\) | |||||||
\(12\) | 0.0172286 | + | 4.79558i | 0.00497346 | + | 1.38436i | ||||
\(13\) | −0.206632 | + | 0.206632i | −0.0573094 | + | 0.0573094i | −0.735181 | − | 0.677871i | \(-0.762903\pi\) |
0.677871 | + | 0.735181i | \(0.262903\pi\) | |||||||
\(14\) | 2.18375 | 0.583631 | ||||||||
\(15\) | 0.451165 | + | 3.84662i | 0.116490 | + | 0.993192i | ||||
\(16\) | 1.87154 | 0.467884 | ||||||||
\(17\) | 0.167409 | − | 0.167409i | 0.0406026 | − | 0.0406026i | −0.686514 | − | 0.727117i | \(-0.740860\pi\) |
0.727117 | + | 0.686514i | \(0.240860\pi\) | |||||||
\(18\) | 4.59902 | − | 4.66559i | 1.08400 | − | 1.09969i | ||||
\(19\) | 5.31419i | 1.21916i | 0.792725 | + | 0.609579i | \(0.208662\pi\) | ||||
−0.792725 | + | 0.609579i | \(0.791338\pi\) | |||||||
\(20\) | −6.15151 | + | 0.699108i | −1.37552 | + | 0.156325i | ||||
\(21\) | −1.22914 | − | 1.22034i | −0.268220 | − | 0.266299i | ||||
\(22\) | 5.22702 | + | 5.22702i | 1.11440 | + | 1.11440i | ||||
\(23\) | −5.07773 | − | 5.07773i | −1.05878 | − | 1.05878i | −0.998161 | − | 0.0606179i | \(-0.980693\pi\) |
−0.0606179 | − | 0.998161i | \(-0.519307\pi\) | |||||||
\(24\) | 2.06341 | + | 2.04864i | 0.421191 | + | 0.418176i | ||||
\(25\) | −4.87249 | + | 1.12199i | −0.974497 | + | 0.224398i | ||||
\(26\) | 0.638138i | 0.125149i | ||||||||
\(27\) | −5.19585 | + | 0.0560017i | −0.999942 | + | 0.0107775i | ||||
\(28\) | 1.95780 | − | 1.95780i | 0.369989 | − | 0.369989i | ||||
\(29\) | −2.84268 | −0.527872 | −0.263936 | − | 0.964540i | \(-0.585021\pi\) | ||||
−0.263936 | + | 0.964540i | \(0.585021\pi\) | |||||||
\(30\) | 6.63638 | + | 5.24306i | 1.21163 | + | 0.957247i | ||||
\(31\) | 9.11776 | 1.63760 | 0.818799 | − | 0.574081i | \(-0.194640\pi\) | ||||
0.818799 | + | 0.574081i | \(0.194640\pi\) | |||||||
\(32\) | 5.26402 | − | 5.26402i | 0.930557 | − | 0.930557i | ||||
\(33\) | −0.0210636 | − | 5.86307i | −0.00366671 | − | 1.02063i | ||||
\(34\) | − | 0.517005i | − | 0.0886657i | ||||||
\(35\) | 1.39248 | − | 1.74957i | 0.235372 | − | 0.295731i | ||||
\(36\) | −0.0596812 | − | 8.30602i | −0.00994686 | − | 1.38434i | ||||
\(37\) | −5.27013 | − | 5.27013i | −0.866404 | − | 0.866404i | 0.125668 | − | 0.992072i | \(-0.459893\pi\) |
−0.992072 | + | 0.125668i | \(0.959893\pi\) | |||||||
\(38\) | 8.20586 | + | 8.20586i | 1.33117 | + | 1.33117i | ||||
\(39\) | 0.356609 | − | 0.359180i | 0.0571031 | − | 0.0575149i | ||||
\(40\) | −2.33762 | + | 2.93708i | −0.369611 | + | 0.464394i | ||||
\(41\) | 0.0314968i | 0.00491898i | 0.999997 | + | 0.00245949i | \(0.000782881\pi\) | ||||
−0.999997 | + | 0.00245949i | \(0.999217\pi\) | |||||||
\(42\) | −3.78233 | + | 0.0135884i | −0.583627 | + | 0.00209674i | ||||
\(43\) | −3.76875 | + | 3.76875i | −0.574728 | + | 0.574728i | −0.933446 | − | 0.358718i | \(-0.883214\pi\) |
0.358718 | + | 0.933446i | \(0.383214\pi\) | |||||||
\(44\) | 9.37239 | 1.41294 | ||||||||
\(45\) | −0.805371 | − | 6.65968i | −0.120058 | − | 0.992767i | ||||
\(46\) | −15.6815 | −2.31210 | ||||||||
\(47\) | −3.56639 | + | 3.56639i | −0.520211 | + | 0.520211i | −0.917635 | − | 0.397424i | \(-0.869904\pi\) |
0.397424 | + | 0.917635i | \(0.369904\pi\) | |||||||
\(48\) | −3.24158 | + | 0.0116457i | −0.467881 | + | 0.00168091i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | −5.79130 | + | 9.25632i | −0.819013 | + | 1.30904i | ||||
\(51\) | −0.288917 | + | 0.291000i | −0.0404564 | + | 0.0407482i | ||||
\(52\) | 0.572111 | + | 0.572111i | 0.0793376 | + | 0.0793376i | ||||
\(53\) | 3.55291 | + | 3.55291i | 0.488030 | + | 0.488030i | 0.907684 | − | 0.419654i | \(-0.137849\pi\) |
−0.419654 | + | 0.907684i | \(0.637849\pi\) | |||||||
\(54\) | −7.93665 | + | 8.10960i | −1.08004 | + | 1.10358i | ||||
\(55\) | 7.52082 | − | 0.854729i | 1.01411 | − | 0.115252i | ||||
\(56\) | − | 1.67875i | − | 0.224332i | ||||||
\(57\) | −0.0330677 | − | 9.20439i | −0.00437992 | − | 1.21915i | ||||
\(58\) | −4.38949 | + | 4.38949i | −0.576369 | + | 0.576369i | ||||
\(59\) | −10.3168 | −1.34313 | −0.671565 | − | 0.740946i | \(-0.734378\pi\) | ||||
−0.671565 | + | 0.740946i | \(0.734378\pi\) | |||||||
\(60\) | 10.6503 | − | 1.24916i | 1.37495 | − | 0.161266i | ||||
\(61\) | −6.80634 | −0.871462 | −0.435731 | − | 0.900077i | \(-0.643510\pi\) | ||||
−0.435731 | + | 0.900077i | \(0.643510\pi\) | |||||||
\(62\) | 14.0791 | − | 14.0791i | 1.78805 | − | 1.78805i | ||||
\(63\) | 2.13651 | + | 2.10602i | 0.269175 | + | 0.265334i | ||||
\(64\) | − | 12.5137i | − | 1.56422i | ||||||
\(65\) | 0.511262 | + | 0.406913i | 0.0634143 | + | 0.0504714i | ||||
\(66\) | −9.08593 | − | 9.02088i | −1.11840 | − | 1.11039i | ||||
\(67\) | 6.34806 | + | 6.34806i | 0.775539 | + | 0.775539i | 0.979069 | − | 0.203530i | \(-0.0652413\pi\) |
−0.203530 | + | 0.979069i | \(0.565241\pi\) | |||||||
\(68\) | −0.463512 | − | 0.463512i | −0.0562091 | − | 0.0562091i | ||||
\(69\) | 8.82642 | + | 8.76323i | 1.06258 | + | 1.05497i | ||||
\(70\) | −0.551396 | − | 4.85177i | −0.0659044 | − | 0.579898i | ||||
\(71\) | 3.95454i | 0.469318i | 0.972078 | + | 0.234659i | \(0.0753973\pi\) | ||||
−0.972078 | + | 0.234659i | \(0.924603\pi\) | |||||||
\(72\) | −3.58665 | − | 3.53548i | −0.422691 | − | 0.416660i | ||||
\(73\) | 8.61099 | − | 8.61099i | 1.00784 | − | 1.00784i | 0.00787086 | − | 0.999969i | \(-0.497495\pi\) |
0.999969 | − | 0.00787086i | \(-0.00250540\pi\) | |||||||
\(74\) | −16.2757 | −1.89201 | ||||||||
\(75\) | 8.43236 | − | 1.97365i | 0.973685 | − | 0.227898i | ||||
\(76\) | 14.7136 | 1.68777 | ||||||||
\(77\) | −2.39360 | + | 2.39360i | −0.272776 | + | 0.272776i | ||||
\(78\) | −0.00397083 | − | 1.10528i | −0.000449608 | − | 0.125148i | ||||
\(79\) | − | 11.4449i | − | 1.28766i | −0.765170 | − | 0.643828i | \(-0.777345\pi\) | ||
0.765170 | − | 0.643828i | \(-0.222655\pi\) | |||||||
\(80\) | −0.472563 | − | 4.15812i | −0.0528342 | − | 0.464892i | ||||
\(81\) | 8.99907 | − | 0.129328i | 0.999897 | − | 0.0143698i | ||||
\(82\) | 0.0486356 | + | 0.0486356i | 0.00537090 | + | 0.00537090i | ||||
\(83\) | 3.88059 | + | 3.88059i | 0.425951 | + | 0.425951i | 0.887246 | − | 0.461296i | \(-0.152615\pi\) |
−0.461296 | + | 0.887246i | \(0.652615\pi\) | |||||||
\(84\) | −3.37880 | + | 3.40317i | −0.368658 | + | 0.371316i | ||||
\(85\) | −0.414214 | − | 0.329672i | −0.0449278 | − | 0.0357580i | ||||
\(86\) | 11.6390i | 1.25506i | ||||||||
\(87\) | 4.92363 | − | 0.0176886i | 0.527868 | − | 0.00189642i | ||||
\(88\) | 4.01825 | − | 4.01825i | 0.428347 | − | 0.428347i | ||||
\(89\) | 2.00190 | 0.212201 | 0.106100 | − | 0.994355i | \(-0.466164\pi\) | ||||
0.106100 | + | 0.994355i | \(0.466164\pi\) | |||||||
\(90\) | −11.5271 | − | 9.03989i | −1.21506 | − | 0.952888i | ||||
\(91\) | −0.292222 | −0.0306332 | ||||||||
\(92\) | −14.0589 | + | 14.0589i | −1.46574 | + | 1.46574i | ||||
\(93\) | −15.7923 | + | 0.0567354i | −1.63759 | + | 0.00588319i | ||||
\(94\) | 11.0140i | 1.13601i | ||||||||
\(95\) | 11.8069 | − | 1.34183i | 1.21136 | − | 0.137669i | ||||
\(96\) | −9.08474 | + | 9.15025i | −0.927208 | + | 0.933894i | ||||
\(97\) | 2.26760 | + | 2.26760i | 0.230240 | + | 0.230240i | 0.812793 | − | 0.582553i | \(-0.197946\pi\) |
−0.582553 | + | 0.812793i | \(0.697946\pi\) | |||||||
\(98\) | 1.54414 | + | 1.54414i | 0.155982 | + | 0.155982i | ||||
\(99\) | 0.0729661 | + | 10.1549i | 0.00733337 | + | 1.02061i | ||||
\(100\) | 3.10651 | + | 13.4907i | 0.310651 | + | 1.34907i | ||||
\(101\) | − | 8.63630i | − | 0.859344i | −0.902985 | − | 0.429672i | \(-0.858629\pi\) | ||
0.902985 | − | 0.429672i | \(-0.141371\pi\) | |||||||
\(102\) | 0.00321708 | + | 0.895474i | 0.000318538 | + | 0.0886651i | ||||
\(103\) | 0.964332 | − | 0.964332i | 0.0950185 | − | 0.0950185i | −0.658000 | − | 0.753018i | \(-0.728597\pi\) |
0.753018 | + | 0.658000i | \(0.228597\pi\) | |||||||
\(104\) | 0.490566 | 0.0481039 | ||||||||
\(105\) | −2.40095 | + | 3.03899i | −0.234308 | + | 0.296575i | ||||
\(106\) | 10.9724 | 1.06573 | ||||||||
\(107\) | −2.95847 | + | 2.95847i | −0.286007 | + | 0.286007i | −0.835499 | − | 0.549492i | \(-0.814821\pi\) |
0.549492 | + | 0.835499i | \(0.314821\pi\) | |||||||
\(108\) | 0.155055 | + | 14.3860i | 0.0149201 | + | 1.38429i | ||||
\(109\) | − | 2.82182i | − | 0.270281i | −0.990826 | − | 0.135141i | \(-0.956851\pi\) | ||
0.990826 | − | 0.135141i | \(-0.0431486\pi\) | |||||||
\(110\) | 10.2934 | − | 12.9330i | 0.981436 | − | 1.23312i | ||||
\(111\) | 9.16087 | + | 9.09528i | 0.869511 | + | 0.863286i | ||||
\(112\) | 1.32338 | + | 1.32338i | 0.125047 | + | 0.125047i | ||||
\(113\) | 2.01798 | + | 2.01798i | 0.189835 | + | 0.189835i | 0.795625 | − | 0.605790i | \(-0.207143\pi\) |
−0.605790 | + | 0.795625i | \(0.707143\pi\) | |||||||
\(114\) | −14.2639 | − | 14.1618i | −1.33594 | − | 1.32638i | ||||
\(115\) | −9.99939 | + | 12.5636i | −0.932448 | + | 1.17157i | ||||
\(116\) | 7.87065i | 0.730771i | ||||||||
\(117\) | −0.615426 | + | 0.624334i | −0.0568961 | + | 0.0577197i | ||||
\(118\) | −15.9306 | + | 15.9306i | −1.46653 | + | 1.46653i | ||||
\(119\) | 0.236752 | 0.0217030 | ||||||||
\(120\) | 4.03058 | − | 5.10169i | 0.367940 | − | 0.465719i | ||||
\(121\) | −0.458667 | −0.0416970 | ||||||||
\(122\) | −10.5099 | + | 10.5099i | −0.951526 | + | 0.951526i | ||||
\(123\) | −0.000195990 | − | 0.0545538i | −1.76718e−5 | − | 0.00491895i | ||||
\(124\) | − | 25.2448i | − | 2.26705i | ||||||
\(125\) | 3.72311 | + | 10.5422i | 0.333005 | + | 0.942925i | ||||
\(126\) | 6.55107 | − | 0.0470713i | 0.583616 | − | 0.00419345i | ||||
\(127\) | −11.6271 | − | 11.6271i | −1.03174 | − | 1.03174i | −0.999480 | − | 0.0322583i | \(-0.989730\pi\) |
−0.0322583 | − | 0.999480i | \(-0.510270\pi\) | |||||||
\(128\) | −8.79491 | − | 8.79491i | −0.777367 | − | 0.777367i | ||||
\(129\) | 6.50417 | − | 6.55107i | 0.572660 | − | 0.576789i | ||||
\(130\) | 1.41779 | − | 0.161130i | 0.124349 | − | 0.0141320i | ||||
\(131\) | − | 12.7013i | − | 1.10972i | −0.831943 | − | 0.554861i | \(-0.812772\pi\) | ||
0.831943 | − | 0.554861i | \(-0.187228\pi\) | |||||||
\(132\) | −16.2333 | + | 0.0583199i | −1.41293 | + | 0.00507609i | ||||
\(133\) | −3.75770 | + | 3.75770i | −0.325834 | + | 0.325834i | ||||
\(134\) | 19.6046 | 1.69358 | ||||||||
\(135\) | 1.43638 | + | 11.5298i | 0.123623 | + | 0.992329i | ||||
\(136\) | −0.397446 | −0.0340807 | ||||||||
\(137\) | −5.19451 | + | 5.19451i | −0.443797 | + | 0.443797i | −0.893286 | − | 0.449489i | \(-0.851606\pi\) |
0.449489 | + | 0.893286i | \(0.351606\pi\) | |||||||
\(138\) | 27.1609 | − | 0.0975782i | 2.31209 | − | 0.00830641i | ||||
\(139\) | − | 12.3138i | − | 1.04444i | −0.852810 | − | 0.522221i | \(-0.825103\pi\) | ||
0.852810 | − | 0.522221i | \(-0.174897\pi\) | |||||||
\(140\) | −4.84412 | − | 3.85543i | −0.409402 | − | 0.325843i | ||||
\(141\) | 6.15493 | − | 6.19932i | 0.518339 | − | 0.522077i | ||||
\(142\) | 6.10637 | + | 6.10637i | 0.512435 | + | 0.512435i | ||||
\(143\) | −0.699463 | − | 0.699463i | −0.0584920 | − | 0.0584920i | ||||
\(144\) | 5.61447 | − | 0.0403416i | 0.467872 | − | 0.00336180i | ||||
\(145\) | 0.717776 | + | 6.31576i | 0.0596080 | + | 0.524495i | ||||
\(146\) | − | 26.5932i | − | 2.20087i | ||||||
\(147\) | −0.00622252 | − | 1.73204i | −0.000513225 | − | 0.142856i | ||||
\(148\) | −14.5917 | + | 14.5917i | −1.19943 | + | 1.19943i | ||||
\(149\) | 18.9350 | 1.55121 | 0.775607 | − | 0.631216i | \(-0.217444\pi\) | ||||
0.775607 | + | 0.631216i | \(0.217444\pi\) | |||||||
\(150\) | 9.97316 | − | 16.0684i | 0.814305 | − | 1.31198i | ||||
\(151\) | −1.90527 | −0.155049 | −0.0775243 | − | 0.996990i | \(-0.524702\pi\) | ||||
−0.0775243 | + | 0.996990i | \(0.524702\pi\) | |||||||
\(152\) | 6.30822 | − | 6.30822i | 0.511665 | − | 0.511665i | ||||
\(153\) | 0.498604 | − | 0.505822i | 0.0403098 | − | 0.0408933i | ||||
\(154\) | 7.39212i | 0.595674i | ||||||||
\(155\) | −2.30223 | − | 20.2575i | −0.184920 | − | 1.62712i | ||||
\(156\) | −0.994479 | − | 0.987359i | −0.0796221 | − | 0.0790520i | ||||
\(157\) | −4.31728 | − | 4.31728i | −0.344557 | − | 0.344557i | 0.513521 | − | 0.858077i | \(-0.328341\pi\) |
−0.858077 | + | 0.513521i | \(0.828341\pi\) | |||||||
\(158\) | −17.6726 | − | 17.6726i | −1.40596 | − | 1.40596i | ||||
\(159\) | −6.17589 | − | 6.13167i | −0.489780 | − | 0.486273i | ||||
\(160\) | −13.0246 | − | 10.3663i | −1.02968 | − | 0.819525i | ||||
\(161\) | − | 7.18099i | − | 0.565941i | ||||||
\(162\) | 13.6961 | − | 14.0955i | 1.07607 | − | 1.10745i | ||||
\(163\) | 3.57655 | − | 3.57655i | 0.280137 | − | 0.280137i | −0.553027 | − | 0.833164i | \(-0.686527\pi\) |
0.833164 | + | 0.553027i | \(0.186527\pi\) | |||||||
\(164\) | 0.0872068 | 0.00680970 | ||||||||
\(165\) | −13.0210 | + | 1.52722i | −1.01369 | + | 0.118894i | ||||
\(166\) | 11.9844 | 0.930168 | ||||||||
\(167\) | −6.39241 | + | 6.39241i | −0.494659 | + | 0.494659i | −0.909771 | − | 0.415111i | \(-0.863743\pi\) |
0.415111 | + | 0.909771i | \(0.363743\pi\) | |||||||
\(168\) | 0.0104460 | + | 2.90765i | 0.000805929 | + | 0.224330i | ||||
\(169\) | 12.9146i | 0.993431i | ||||||||
\(170\) | −1.14866 | + | 0.130544i | −0.0880986 | + | 0.0100123i | ||||
\(171\) | 0.114549 | + | 15.9422i | 0.00875978 | + | 1.21913i | ||||
\(172\) | 10.4347 | + | 10.4347i | 0.795638 | + | 0.795638i | ||||
\(173\) | 3.88791 | + | 3.88791i | 0.295592 | + | 0.295592i | 0.839285 | − | 0.543692i | \(-0.182974\pi\) |
−0.543692 | + | 0.839285i | \(0.682974\pi\) | |||||||
\(174\) | 7.57546 | − | 7.63009i | 0.574294 | − | 0.578436i | ||||
\(175\) | −4.23874 | − | 2.65200i | −0.320418 | − | 0.200472i | ||||
\(176\) | 6.33528i | 0.477540i | ||||||||
\(177\) | 17.8691 | − | 0.0641964i | 1.34312 | − | 0.00482529i | ||||
\(178\) | 3.09121 | − | 3.09121i | 0.231696 | − | 0.231696i | ||||
\(179\) | −14.6322 | −1.09366 | −0.546832 | − | 0.837242i | \(-0.684166\pi\) | ||||
−0.546832 | + | 0.837242i | \(0.684166\pi\) | |||||||
\(180\) | −18.4390 | + | 2.22987i | −1.37436 | + | 0.166205i | ||||
\(181\) | −9.83718 | −0.731192 | −0.365596 | − | 0.930774i | \(-0.619135\pi\) | ||||
−0.365596 | + | 0.930774i | \(0.619135\pi\) | |||||||
\(182\) | −0.451232 | + | 0.451232i | −0.0334475 | + | 0.0334475i | ||||
\(183\) | 11.7888 | − | 0.0423526i | 0.871456 | − | 0.00313079i | ||||
\(184\) | 12.0551i | 0.888710i | ||||||||
\(185\) | −10.3783 | + | 13.0397i | −0.763027 | + | 0.958698i | ||||
\(186\) | −24.2980 | + | 24.4732i | −1.78161 | + | 1.79446i | ||||
\(187\) | 0.566689 | + | 0.566689i | 0.0414404 | + | 0.0414404i | ||||
\(188\) | 9.87442 | + | 9.87442i | 0.720166 | + | 0.720166i | ||||
\(189\) | −3.71362 | − | 3.63442i | −0.270126 | − | 0.264365i | ||||
\(190\) | 16.1595 | − | 20.3035i | 1.17234 | − | 1.47297i | ||||
\(191\) | − | 6.37886i | − | 0.461558i | −0.973006 | − | 0.230779i | \(-0.925873\pi\) | ||
0.973006 | − | 0.230779i | \(-0.0741275\pi\) | |||||||
\(192\) | 0.0778669 | + | 21.6743i | 0.00561956 | + | 1.56421i | ||||
\(193\) | 7.56336 | − | 7.56336i | 0.544422 | − | 0.544422i | −0.380400 | − | 0.924822i | \(-0.624214\pi\) |
0.924822 | + | 0.380400i | \(0.124214\pi\) | |||||||
\(194\) | 7.00299 | 0.502785 | ||||||||
\(195\) | −0.888059 | − | 0.701608i | −0.0635952 | − | 0.0502432i | ||||
\(196\) | 2.76875 | 0.197768 | ||||||||
\(197\) | −1.01490 | + | 1.01490i | −0.0723090 | + | 0.0723090i | −0.742336 | − | 0.670027i | \(-0.766282\pi\) |
0.670027 | + | 0.742336i | \(0.266282\pi\) | |||||||
\(198\) | 15.7933 | + | 15.5680i | 1.12238 | + | 1.10637i | ||||
\(199\) | 9.40041i | 0.666378i | 0.942860 | + | 0.333189i | \(0.108125\pi\) | ||||
−0.942860 | + | 0.333189i | \(0.891875\pi\) | |||||||
\(200\) | 7.11576 | + | 4.45204i | 0.503160 | + | 0.314806i | ||||
\(201\) | −11.0346 | − | 10.9556i | −0.778320 | − | 0.772748i | ||||
\(202\) | −13.3357 | − | 13.3357i | −0.938295 | − | 0.938295i | ||||
\(203\) | −2.01007 | − | 2.01007i | −0.141080 | − | 0.141080i | ||||
\(204\) | 0.805705 | + | 0.799937i | 0.0564107 | + | 0.0560068i | ||||
\(205\) | 0.0699786 | − | 0.00795295i | 0.00488752 | − | 0.000555458i | ||||
\(206\) | − | 2.97813i | − | 0.207496i | ||||||
\(207\) | −15.3422 | − | 15.1233i | −1.06636 | − | 1.05114i | ||||
\(208\) | −0.386719 | + | 0.386719i | −0.0268142 | + | 0.0268142i | ||||
\(209\) | −17.9889 | −1.24432 | ||||||||
\(210\) | 0.985230 | + | 8.40003i | 0.0679873 | + | 0.579657i | ||||
\(211\) | −8.29157 | −0.570815 | −0.285407 | − | 0.958406i | \(-0.592129\pi\) | ||||
−0.285407 | + | 0.958406i | \(0.592129\pi\) | |||||||
\(212\) | 9.83710 | − | 9.83710i | 0.675615 | − | 0.675615i | ||||
\(213\) | −0.0246072 | − | 6.84942i | −0.00168606 | − | 0.469315i | ||||
\(214\) | 9.13661i | 0.624566i | ||||||||
\(215\) | 9.32488 | + | 7.42166i | 0.635952 | + | 0.506153i | ||||
\(216\) | 6.23422 | + | 6.10127i | 0.424185 | + | 0.415139i | ||||
\(217\) | 6.44723 | + | 6.44723i | 0.437666 | + | 0.437666i | ||||
\(218\) | −4.35729 | − | 4.35729i | −0.295113 | − | 0.295113i | ||||
\(219\) | −14.8610 | + | 14.9682i | −1.00421 | + | 1.01145i | ||||
\(220\) | −2.36653 | − | 20.8232i | −0.159551 | − | 1.40390i | ||||
\(221\) | 0.0691839i | 0.00465382i | ||||||||
\(222\) | 28.1901 | − | 0.101276i | 1.89199 | − | 0.00679717i | ||||
\(223\) | 3.86020 | − | 3.86020i | 0.258498 | − | 0.258498i | −0.565945 | − | 0.824443i | \(-0.691489\pi\) |
0.824443 | + | 0.565945i | \(0.191489\pi\) | |||||||
\(224\) | 7.44445 | 0.497404 | ||||||||
\(225\) | −14.5929 | + | 3.47092i | −0.972860 | + | 0.231394i | ||||
\(226\) | 6.23208 | 0.414552 | ||||||||
\(227\) | 1.50739 | − | 1.50739i | 0.100049 | − | 0.100049i | −0.655310 | − | 0.755360i | \(-0.727462\pi\) |
0.755360 | + | 0.655310i | \(0.227462\pi\) | |||||||
\(228\) | −25.4846 | + | 0.0915560i | −1.68776 | + | 0.00606344i | ||||
\(229\) | − | 6.26009i | − | 0.413678i | −0.978375 | − | 0.206839i | \(-0.933682\pi\) | ||
0.978375 | − | 0.206839i | \(-0.0663177\pi\) | |||||||
\(230\) | 3.95957 | + | 34.8405i | 0.261086 | + | 2.29732i | ||||
\(231\) | 4.13092 | − | 4.16071i | 0.271795 | − | 0.273755i | ||||
\(232\) | 3.37440 | + | 3.37440i | 0.221541 | + | 0.221541i | ||||
\(233\) | −2.67422 | − | 2.67422i | −0.175194 | − | 0.175194i | 0.614063 | − | 0.789257i | \(-0.289534\pi\) |
−0.789257 | + | 0.614063i | \(0.789534\pi\) | |||||||
\(234\) | 0.0137553 | + | 1.91436i | 0.000899209 | + | 0.125146i | ||||
\(235\) | 8.82419 | + | 7.02317i | 0.575627 | + | 0.458141i | ||||
\(236\) | 28.5645i | 1.85939i | ||||||||
\(237\) | 0.0712164 | + | 19.8231i | 0.00462600 | + | 1.28765i | ||||
\(238\) | 0.365578 | − | 0.365578i | 0.0236969 | − | 0.0236969i | ||||
\(239\) | 2.08521 | 0.134881 | 0.0674406 | − | 0.997723i | \(-0.478517\pi\) | ||||
0.0674406 | + | 0.997723i | \(0.478517\pi\) | |||||||
\(240\) | 0.844372 | + | 7.19909i | 0.0545040 | + | 0.464699i | ||||
\(241\) | −5.43686 | −0.350219 | −0.175110 | − | 0.984549i | \(-0.556028\pi\) | ||||
−0.175110 | + | 0.984549i | \(0.556028\pi\) | |||||||
\(242\) | −0.708247 | + | 0.708247i | −0.0455279 | + | 0.0455279i | ||||
\(243\) | −15.5859 | + | 0.279999i | −0.999839 | + | 0.0179619i | ||||
\(244\) | 18.8450i | 1.20643i | ||||||||
\(245\) | 2.22177 | − | 0.252500i | 0.141943 | − | 0.0161316i | ||||
\(246\) | −0.0845414 | − | 0.0839361i | −0.00539016 | − | 0.00535157i | ||||
\(247\) | −1.09808 | − | 1.09808i | −0.0698692 | − | 0.0698692i | ||||
\(248\) | −10.8233 | − | 10.8233i | −0.687278 | − | 0.687278i | ||||
\(249\) | −6.74549 | − | 6.69720i | −0.427478 | − | 0.424418i | ||||
\(250\) | 22.0277 | + | 10.5297i | 1.39315 | + | 0.665956i | ||||
\(251\) | − | 23.3428i | − | 1.47339i | −0.676227 | − | 0.736693i | \(-0.736386\pi\) | ||
0.676227 | − | 0.736693i | \(-0.263614\pi\) | |||||||
\(252\) | 5.83104 | − | 5.91545i | 0.367321 | − | 0.372638i | ||||
\(253\) | 17.1884 | − | 17.1884i | 1.08063 | − | 1.08063i | ||||
\(254\) | −35.9078 | −2.25305 | ||||||||
\(255\) | 0.719486 | + | 0.568428i | 0.0450559 | + | 0.0355963i | ||||
\(256\) | −2.13372 | −0.133358 | ||||||||
\(257\) | 10.9273 | − | 10.9273i | 0.681627 | − | 0.681627i | −0.278740 | − | 0.960367i | \(-0.589917\pi\) |
0.960367 | + | 0.278740i | \(0.0899167\pi\) | |||||||
\(258\) | −0.0724236 | − | 20.1591i | −0.00450890 | − | 1.25505i | ||||
\(259\) | − | 7.45309i | − | 0.463112i | ||||||
\(260\) | 1.12664 | − | 1.41556i | 0.0698712 | − | 0.0877890i | ||||
\(261\) | −8.52781 | + | 0.0612747i | −0.527858 | + | 0.00379281i | ||||
\(262\) | −19.6127 | − | 19.6127i | −1.21167 | − | 1.21167i | ||||
\(263\) | 18.1808 | + | 18.1808i | 1.12108 | + | 1.12108i | 0.991580 | + | 0.129497i | \(0.0413364\pi\) |
0.129497 | + | 0.991580i | \(0.458664\pi\) | |||||||
\(264\) | −6.93477 | + | 6.98477i | −0.426805 | + | 0.429883i | ||||
\(265\) | 6.99662 | − | 8.79084i | 0.429799 | − | 0.540017i | ||||
\(266\) | 11.6048i | 0.711539i | ||||||||
\(267\) | −3.46737 | + | 0.0124569i | −0.212199 | + | 0.000762347i | ||||
\(268\) | 17.5762 | − | 17.5762i | 1.07364 | − | 1.07364i | ||||
\(269\) | 28.5125 | 1.73844 | 0.869219 | − | 0.494428i | \(-0.164622\pi\) | ||||
0.869219 | + | 0.494428i | \(0.164622\pi\) | |||||||
\(270\) | 20.0216 | + | 15.5857i | 1.21848 | + | 0.948516i | ||||
\(271\) | 3.12214 | 0.189656 | 0.0948282 | − | 0.995494i | \(-0.469770\pi\) | ||||
0.0948282 | + | 0.995494i | \(0.469770\pi\) | |||||||
\(272\) | 0.313312 | − | 0.313312i | 0.0189973 | − | 0.0189973i | ||||
\(273\) | 0.506139 | − | 0.00181836i | 0.0306330 | − | 0.000110052i | ||||
\(274\) | 16.0421i | 0.969139i | ||||||||
\(275\) | −3.79802 | − | 16.4937i | −0.229029 | − | 0.994607i | ||||
\(276\) | 24.2631 | − | 24.4381i | 1.46047 | − | 1.47100i | ||||
\(277\) | 12.2472 | + | 12.2472i | 0.735861 | + | 0.735861i | 0.971774 | − | 0.235913i | \(-0.0758081\pi\) |
−0.235913 | + | 0.971774i | \(0.575808\pi\) | |||||||
\(278\) | −19.0142 | − | 19.0142i | −1.14040 | − | 1.14040i | ||||
\(279\) | 27.3526 | − | 0.196536i | 1.63756 | − | 0.0117663i | ||||
\(280\) | −3.72978 | + | 0.423883i | −0.222897 | + | 0.0253319i | ||||
\(281\) | 12.7181i | 0.758698i | 0.925254 | + | 0.379349i | \(0.123852\pi\) | ||||
−0.925254 | + | 0.379349i | \(0.876148\pi\) | |||||||
\(282\) | −0.0685349 | − | 19.0767i | −0.00408120 | − | 1.13600i | ||||
\(283\) | −19.8271 | + | 19.8271i | −1.17860 | + | 1.17860i | −0.198495 | + | 0.980102i | \(0.563605\pi\) |
−0.980102 | + | 0.198495i | \(0.936395\pi\) | |||||||
\(284\) | 10.9491 | 0.649711 | ||||||||
\(285\) | −20.4416 | + | 2.39758i | −1.21086 | + | 0.142020i | ||||
\(286\) | −2.16014 | −0.127732 | ||||||||
\(287\) | −0.0222716 | + | 0.0222716i | −0.00131465 | + | 0.00131465i | ||||
\(288\) | 15.6782 | − | 15.9051i | 0.923847 | − | 0.937219i | ||||
\(289\) | 16.9439i | 0.996703i | ||||||||
\(290\) | 10.8608 | + | 8.64408i | 0.637767 | + | 0.507598i | ||||
\(291\) | −3.94168 | − | 3.91346i | −0.231066 | − | 0.229411i | ||||
\(292\) | −23.8416 | − | 23.8416i | −1.39523 | − | 1.39523i | ||||
\(293\) | −6.72836 | − | 6.72836i | −0.393075 | − | 0.393075i | 0.482707 | − | 0.875782i | \(-0.339654\pi\) |
−0.875782 | + | 0.482707i | \(0.839654\pi\) | |||||||
\(294\) | −2.68412 | − | 2.66491i | −0.156541 | − | 0.155420i | ||||
\(295\) | 2.60499 | + | 22.9215i | 0.151668 | + | 1.33454i | ||||
\(296\) | 12.5118i | 0.727236i | ||||||||
\(297\) | −0.189570 | − | 17.5883i | −0.0109999 | − | 1.02058i | ||||
\(298\) | 29.2383 | − | 29.2383i | 1.69373 | − | 1.69373i | ||||
\(299\) | 2.09844 | 0.121356 | ||||||||
\(300\) | −5.46455 | − | 23.3471i | −0.315496 | − | 1.34794i | ||||
\(301\) | −5.32981 | −0.307205 | ||||||||
\(302\) | −2.94201 | + | 2.94201i | −0.169293 | + | 0.169293i | ||||
\(303\) | 0.0537396 | + | 14.9584i | 0.00308726 | + | 0.859339i | ||||
\(304\) | 9.94571i | 0.570426i | ||||||||
\(305\) | 1.71860 | + | 15.1221i | 0.0984068 | + | 0.865888i | ||||
\(306\) | −0.0111442 | − | 1.55098i | −0.000637072 | − | 0.0886634i | ||||
\(307\) | 10.1105 | + | 10.1105i | 0.577034 | + | 0.577034i | 0.934085 | − | 0.357051i | \(-0.116218\pi\) |
−0.357051 | + | 0.934085i | \(0.616218\pi\) | |||||||
\(308\) | 6.62728 | + | 6.62728i | 0.377624 | + | 0.377624i | ||||
\(309\) | −1.66426 | + | 1.67626i | −0.0946765 | + | 0.0953592i | ||||
\(310\) | −34.8355 | − | 27.7255i | −1.97852 | − | 1.57470i | ||||
\(311\) | − | 0.394155i | − | 0.0223505i | −0.999938 | − | 0.0111752i | \(-0.996443\pi\) | ||
0.999938 | − | 0.0111752i | \(-0.00355726\pi\) | |||||||
\(312\) | −0.849680 | + | 0.00305256i | −0.0481036 | + | 0.000172817i | ||||
\(313\) | −10.3810 | + | 10.3810i | −0.586767 | + | 0.586767i | −0.936754 | − | 0.349987i | \(-0.886186\pi\) |
0.349987 | + | 0.936754i | \(0.386186\pi\) | |||||||
\(314\) | −13.3330 | −0.752424 | ||||||||
\(315\) | 4.13962 | − | 5.27859i | 0.233241 | − | 0.297415i | ||||
\(316\) | −31.6881 | −1.78260 | ||||||||
\(317\) | −19.8075 | + | 19.8075i | −1.11250 | + | 1.11250i | −0.119688 | + | 0.992812i | \(0.538190\pi\) |
−0.992812 | + | 0.119688i | \(0.961810\pi\) | |||||||
\(318\) | −19.0046 | + | 0.0682759i | −1.06573 | + | 0.00382872i | ||||
\(319\) | − | 9.62264i | − | 0.538764i | ||||||
\(320\) | −27.8026 | + | 3.15971i | −1.55421 | + | 0.176633i | ||||
\(321\) | 5.10579 | − | 5.14260i | 0.284977 | − | 0.287032i | ||||
\(322\) | −11.0885 | − | 11.0885i | −0.617936 | − | 0.617936i | ||||
\(323\) | 0.889642 | + | 0.889642i | 0.0495010 | + | 0.0495010i | ||||
\(324\) | −0.358078 | − | 24.9161i | −0.0198932 | − | 1.38423i | ||||
\(325\) | 0.774972 | − | 1.23865i | 0.0429877 | − | 0.0687080i | ||||
\(326\) | − | 11.0454i | − | 0.611748i | ||||||
\(327\) | 0.0175588 | + | 4.88750i | 0.000971005 | + | 0.270279i | ||||
\(328\) | 0.0373884 | − | 0.0373884i | 0.00206443 | − | 0.00206443i | ||||
\(329\) | −5.04363 | −0.278065 | ||||||||
\(330\) | −17.7481 | + | 22.4646i | −0.977000 | + | 1.23663i | ||||
\(331\) | −24.7348 | −1.35955 | −0.679774 | − | 0.733422i | \(-0.737922\pi\) | ||||
−0.679774 | + | 0.733422i | \(0.737922\pi\) | |||||||
\(332\) | 10.7444 | − | 10.7444i | 0.589674 | − | 0.589674i | ||||
\(333\) | −15.9236 | − | 15.6964i | −0.872607 | − | 0.860157i | ||||
\(334\) | 19.7416i | 1.08021i | ||||||||
\(335\) | 12.5010 | − | 15.7068i | 0.683004 | − | 0.858154i | ||||
\(336\) | −2.30038 | − | 2.28391i | −0.125496 | − | 0.124597i | ||||
\(337\) | −3.40139 | − | 3.40139i | −0.185286 | − | 0.185286i | 0.608369 | − | 0.793655i | \(-0.291824\pi\) |
−0.793655 | + | 0.608369i | \(0.791824\pi\) | |||||||
\(338\) | 19.9420 | + | 19.9420i | 1.08470 | + | 1.08470i | ||||
\(339\) | −3.50777 | − | 3.48266i | −0.190516 | − | 0.189152i | ||||
\(340\) | −0.912779 | + | 1.14685i | −0.0495024 | + | 0.0621968i | ||||
\(341\) | 30.8642i | 1.67139i | ||||||||
\(342\) | 24.7938 | + | 24.4401i | 1.34070 | + | 1.32157i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 8.94740 | 0.482411 | ||||||||
\(345\) | 17.2412 | − | 21.8229i | 0.928233 | − | 1.17491i | ||||
\(346\) | 12.0070 | 0.645498 | ||||||||
\(347\) | 24.0324 | − | 24.0324i | 1.29013 | − | 1.29013i | 0.355421 | − | 0.934706i | \(-0.384337\pi\) |
0.934706 | − | 0.355421i | \(-0.115663\pi\) | |||||||
\(348\) | −0.0489753 | − | 13.6323i | −0.00262535 | − | 0.730766i | ||||
\(349\) | 9.37078i | 0.501607i | 0.968038 | + | 0.250803i | \(0.0806947\pi\) | ||||
−0.968038 | + | 0.250803i | \(0.919305\pi\) | |||||||
\(350\) | −10.6403 | + | 2.45015i | −0.568747 | + | 0.130966i | ||||
\(351\) | 1.06206 | − | 1.08520i | 0.0566884 | − | 0.0579237i | ||||
\(352\) | 17.8191 | + | 17.8191i | 0.949759 | + | 0.949759i | ||||
\(353\) | 14.5888 | + | 14.5888i | 0.776481 | + | 0.776481i | 0.979231 | − | 0.202750i | \(-0.0649878\pi\) |
−0.202750 | + | 0.979231i | \(0.564988\pi\) | |||||||
\(354\) | 27.4932 | − | 27.6915i | 1.46125 | − | 1.47179i | ||||
\(355\) | 8.78606 | − | 0.998522i | 0.466316 | − | 0.0529960i | ||||
\(356\) | − | 5.54275i | − | 0.293765i | ||||||
\(357\) | −0.410063 | + | 0.00147319i | −0.0217028 | + | 7.79696e-5i | ||||
\(358\) | −22.5942 | + | 22.5942i | −1.19414 | + | 1.19414i | ||||
\(359\) | 27.2654 | 1.43901 | 0.719506 | − | 0.694486i | \(-0.244368\pi\) | ||||
0.719506 | + | 0.694486i | \(0.244368\pi\) | |||||||
\(360\) | −6.94938 | + | 8.86141i | −0.366264 | + | 0.467037i | ||||
\(361\) | −9.24062 | −0.486349 | ||||||||
\(362\) | −15.1900 | + | 15.1900i | −0.798369 | + | 0.798369i | ||||
\(363\) | 0.794430 | − | 0.00285407i | 0.0416968 | − | 0.000149800i | ||||
\(364\) | 0.809088i | 0.0424077i | ||||||||
\(365\) | −21.3059 | − | 16.9573i | −1.11520 | − | 0.887587i | ||||
\(366\) | 18.1382 | − | 18.2690i | 0.948101 | − | 0.954938i | ||||
\(367\) | 15.9239 | + | 15.9239i | 0.831218 | + | 0.831218i | 0.987683 | − | 0.156465i | \(-0.0500099\pi\) |
−0.156465 | + | 0.987683i | \(0.550010\pi\) | |||||||
\(368\) | −9.50315 | − | 9.50315i | −0.495386 | − | 0.495386i | ||||
\(369\) | 0.000678924 | 0.0944881i | 3.53434e−5 | 0.00491885i | ||||||
\(370\) | 4.10960 | + | 36.1607i | 0.213648 | + | 1.87990i | ||||
\(371\) | 5.02457i | 0.260863i | ||||||||
\(372\) | 0.157086 | + | 43.7249i | 0.00814453 | + | 2.26703i | ||||
\(373\) | 23.3283 | − | 23.3283i | 1.20790 | − | 1.20790i | 0.236189 | − | 0.971707i | \(-0.424102\pi\) |
0.971707 | − | 0.236189i | \(-0.0758984\pi\) | |||||||
\(374\) | 1.75010 | 0.0904954 | ||||||||
\(375\) | −6.51417 | − | 18.2364i | −0.336390 | − | 0.941723i | ||||
\(376\) | 8.46698 | 0.436651 | ||||||||
\(377\) | 0.587387 | − | 0.587387i | 0.0302520 | − | 0.0302520i | ||||
\(378\) | −11.3464 | + | 0.122294i | −0.583597 | + | 0.00629010i | ||||
\(379\) | − | 37.4477i | − | 1.92356i | −0.273828 | − | 0.961779i | \(-0.588290\pi\) | ||
0.273828 | − | 0.961779i | \(-0.411710\pi\) | |||||||
\(380\) | −3.71520 | − | 32.6903i | −0.190586 | − | 1.67698i | ||||
\(381\) | 20.2109 | + | 20.0662i | 1.03544 | + | 1.02802i | ||||
\(382\) | −9.84986 | − | 9.84986i | −0.503963 | − | 0.503963i | ||||
\(383\) | −4.95443 | − | 4.95443i | −0.253159 | − | 0.253159i | 0.569105 | − | 0.822265i | \(-0.307290\pi\) |
−0.822265 | + | 0.569105i | \(0.807290\pi\) | |||||||
\(384\) | 15.2879 | + | 15.1784i | 0.780155 | + | 0.774570i | ||||
\(385\) | 5.92241 | + | 4.71364i | 0.301834 | + | 0.240229i | ||||
\(386\) | − | 23.3578i | − | 1.18888i | ||||||
\(387\) | −11.2247 | + | 11.3872i | −0.570584 | + | 0.578843i | ||||
\(388\) | 6.27841 | − | 6.27841i | 0.318738 | − | 0.318738i | ||||
\(389\) | 9.20279 | 0.466600 | 0.233300 | − | 0.972405i | \(-0.425048\pi\) | ||||
0.233300 | + | 0.972405i | \(0.425048\pi\) | |||||||
\(390\) | −2.45467 | + | 0.287905i | −0.124297 | + | 0.0145787i | ||||
\(391\) | −1.70011 | −0.0859783 | ||||||||
\(392\) | 1.18705 | − | 1.18705i | 0.0599552 | − | 0.0599552i | ||||
\(393\) | 0.0790344 | + | 21.9992i | 0.00398676 | + | 1.10971i | ||||
\(394\) | 3.13431i | 0.157904i | ||||||||
\(395\) | −25.4280 | + | 2.88985i | −1.27942 | + | 0.145404i | ||||
\(396\) | 28.1164 | − | 0.202025i | 1.41290 | − | 0.0101521i | ||||
\(397\) | 21.9242 | + | 21.9242i | 1.10034 | + | 1.10034i | 0.994369 | + | 0.105976i | \(0.0337966\pi\) |
0.105976 | + | 0.994369i | \(0.466203\pi\) | |||||||
\(398\) | 14.5156 | + | 14.5156i | 0.727600 | + | 0.727600i | ||||
\(399\) | 6.48510 | − | 6.53187i | 0.324661 | − | 0.327002i | ||||
\(400\) | −9.11904 | + | 2.09985i | −0.455952 | + | 0.104993i | ||||
\(401\) | 25.7514i | 1.28596i | 0.765882 | + | 0.642982i | \(0.222303\pi\) | ||||
−0.765882 | + | 0.642982i | \(0.777697\pi\) | |||||||
\(402\) | −33.9560 | + | 0.121990i | −1.69357 | + | 0.00608431i | ||||
\(403\) | −1.88402 | + | 1.88402i | −0.0938497 | + | 0.0938497i | ||||
\(404\) | −23.9117 | −1.18965 | ||||||||
\(405\) | −2.55960 | − | 19.9612i | −0.127188 | − | 0.991879i | ||||
\(406\) | −6.20768 | −0.308082 | ||||||||
\(407\) | 17.8397 | − | 17.8397i | 0.884283 | − | 0.884283i | ||||
\(408\) | 0.688392 | − | 0.00247311i | 0.0340805 | − | 0.000122437i | ||||
\(409\) | − | 10.9496i | − | 0.541425i | −0.962660 | − | 0.270712i | \(-0.912741\pi\) | ||
0.962660 | − | 0.270712i | \(-0.0872592\pi\) | |||||||
\(410\) | 0.0957764 | − | 0.120337i | 0.00473006 | − | 0.00594304i | ||||
\(411\) | 8.96477 | − | 9.02942i | 0.442200 | − | 0.445388i | ||||
\(412\) | −2.66999 | − | 2.66999i | −0.131541 | − | 0.131541i | ||||
\(413\) | −7.29506 | − | 7.29506i | −0.358967 | − | 0.358967i | ||||
\(414\) | −47.0431 | + | 0.338019i | −2.31204 | + | 0.0166127i | ||||
\(415\) | 7.64192 | − | 9.60162i | 0.375127 | − | 0.471325i | ||||
\(416\) | 2.17543i | 0.106659i | ||||||||
\(417\) | 0.0766229 | + | 21.3280i | 0.00375224 | + | 1.04444i | ||||
\(418\) | −27.7774 | + | 27.7774i | −1.35864 | + | 1.35864i | ||||
\(419\) | −5.86958 | −0.286748 | −0.143374 | − | 0.989669i | \(-0.545795\pi\) | ||||
−0.143374 | + | 0.989669i | \(0.545795\pi\) | |||||||
\(420\) | 8.41419 | + | 6.64761i | 0.410570 | + | 0.324370i | ||||
\(421\) | 26.8842 | 1.31026 | 0.655129 | − | 0.755517i | \(-0.272614\pi\) | ||||
0.655129 | + | 0.755517i | \(0.272614\pi\) | |||||||
\(422\) | −12.8034 | + | 12.8034i | −0.623257 | + | 0.623257i | ||||
\(423\) | −10.6220 | + | 10.7758i | −0.516460 | + | 0.523936i | ||||
\(424\) | − | 8.43498i | − | 0.409639i | ||||||
\(425\) | −0.627865 | + | 1.00353i | −0.0304559 | + | 0.0486782i | ||||
\(426\) | −10.6145 | − | 10.5385i | −0.514273 | − | 0.510591i | ||||
\(427\) | −4.81281 | − | 4.81281i | −0.232908 | − | 0.232908i | ||||
\(428\) | 8.19126 | + | 8.19126i | 0.395940 | + | 0.395940i | ||||
\(429\) | 1.21585 | + | 1.20714i | 0.0587018 | + | 0.0582815i | ||||
\(430\) | 25.8590 | − | 2.93884i | 1.24703 | − | 0.141723i | ||||
\(431\) | 4.18118i | 0.201400i | 0.994917 | + | 0.100700i | \(0.0321083\pi\) | ||||
−0.994917 | + | 0.100700i | \(0.967892\pi\) | |||||||
\(432\) | −9.72423 | + | 0.104809i | −0.467857 | + | 0.00504264i | ||||
\(433\) | −2.20877 | + | 2.20877i | −0.106146 | + | 0.106146i | −0.758185 | − | 0.652039i | \(-0.773914\pi\) |
0.652039 | + | 0.758185i | \(0.273914\pi\) | |||||||
\(434\) | 19.9109 | 0.955752 | ||||||||
\(435\) | −1.28252 | − | 10.9347i | −0.0614919 | − | 0.524278i | ||||
\(436\) | −7.81290 | −0.374170 | ||||||||
\(437\) | 26.9840 | − | 26.9840i | 1.29082 | − | 1.29082i | ||||
\(438\) | 0.165477 | + | 46.0604i | 0.00790678 | + | 2.20085i | ||||
\(439\) | − | 27.6028i | − | 1.31741i | −0.752401 | − | 0.658706i | \(-0.771104\pi\) | ||
0.752401 | − | 0.658706i | \(-0.228896\pi\) | |||||||
\(440\) | −9.94222 | − | 7.91300i | −0.473977 | − | 0.377238i | ||||
\(441\) | 0.0215553 | + | 2.99992i | 0.00102644 | + | 0.142853i | ||||
\(442\) | 0.106830 | + | 0.106830i | 0.00508138 | + | 0.00508138i | ||||
\(443\) | 12.3040 | + | 12.3040i | 0.584582 | + | 0.584582i | 0.936159 | − | 0.351577i | \(-0.114354\pi\) |
−0.351577 | + | 0.936159i | \(0.614354\pi\) | |||||||
\(444\) | 25.1825 | − | 25.3641i | 1.19511 | − | 1.20373i | ||||
\(445\) | −0.505479 | − | 4.44775i | −0.0239620 | − | 0.210843i | ||||
\(446\) | − | 11.9214i | − | 0.564494i | ||||||
\(447\) | −32.7961 | + | 0.117823i | −1.55120 | + | 0.00557285i | ||||
\(448\) | 8.84854 | − | 8.84854i | 0.418054 | − | 0.418054i | ||||
\(449\) | −34.1859 | −1.61333 | −0.806666 | − | 0.591008i | \(-0.798730\pi\) | ||||
−0.806666 | + | 0.591008i | \(0.798730\pi\) | |||||||
\(450\) | −17.1739 | + | 27.8931i | −0.809586 | + | 1.31489i | ||||
\(451\) | −0.106619 | −0.00502049 | ||||||||
\(452\) | 5.58726 | − | 5.58726i | 0.262803 | − | 0.262803i | ||||
\(453\) | 3.30000 | − | 0.0118556i | 0.155048 | − | 0.000557024i | ||||
\(454\) | − | 4.65526i | − | 0.218482i | ||||||
\(455\) | 0.0737860 | + | 0.649248i | 0.00345914 | + | 0.0304372i | ||||
\(456\) | −10.8868 | + | 10.9653i | −0.509823 | + | 0.513499i | ||||
\(457\) | −9.31021 | − | 9.31021i | −0.435513 | − | 0.435513i | 0.454986 | − | 0.890499i | \(-0.349644\pi\) |
−0.890499 | + | 0.454986i | \(0.849644\pi\) | |||||||
\(458\) | −9.66646 | − | 9.66646i | −0.451684 | − | 0.451684i | ||||
\(459\) | −0.860455 | + | 0.879206i | −0.0401626 | + | 0.0410378i | ||||
\(460\) | 34.7855 | + | 27.6858i | 1.62188 | + | 1.29086i | ||||
\(461\) | 25.6579i | 1.19501i | 0.801865 | + | 0.597505i | \(0.203841\pi\) | ||||
−0.801865 | + | 0.597505i | \(0.796159\pi\) | |||||||
\(462\) | −0.0459976 | − | 12.8034i | −0.00214000 | − | 0.595670i | ||||
\(463\) | 13.2170 | − | 13.2170i | 0.614248 | − | 0.614248i | −0.329802 | − | 0.944050i | \(-0.606982\pi\) |
0.944050 | + | 0.329802i | \(0.106982\pi\) | |||||||
\(464\) | −5.32017 | −0.246983 | ||||||||
\(465\) | 4.11361 | + | 35.0725i | 0.190764 | + | 1.62645i | ||||
\(466\) | −8.25874 | −0.382579 | ||||||||
\(467\) | −19.6659 | + | 19.6659i | −0.910031 | + | 0.910031i | −0.996274 | − | 0.0862431i | \(-0.972514\pi\) |
0.0862431 | + | 0.996274i | \(0.472514\pi\) | |||||||
\(468\) | 1.72862 | + | 1.70396i | 0.0799056 | + | 0.0787655i | ||||
\(469\) | 8.97752i | 0.414543i | ||||||||
\(470\) | 24.4706 | − | 2.78104i | 1.12874 | − | 0.128280i | ||||
\(471\) | 7.50457 | + | 7.45084i | 0.345792 | + | 0.343317i | ||||
\(472\) | 12.2466 | + | 12.2466i | 0.563693 | + | 0.563693i | ||||
\(473\) | −12.7575 | − | 12.7575i | −0.586588 | − | 0.586588i | ||||
\(474\) | 30.7196 | + | 30.4997i | 1.41100 | + | 1.40090i | ||||
\(475\) | −5.96248 | − | 25.8933i | −0.273577 | − | 1.18807i | ||||
\(476\) | − | 0.655505i | − | 0.0300450i | ||||||
\(477\) | 10.7350 | + | 10.5819i | 0.491524 | + | 0.484510i | ||||
\(478\) | 3.21986 | − | 3.21986i | 0.147273 | − | 0.147273i | ||||
\(479\) | −26.9725 | −1.23240 | −0.616202 | − | 0.787588i | \(-0.711330\pi\) | ||||
−0.616202 | + | 0.787588i | \(0.711330\pi\) | |||||||
\(480\) | 22.6236 | + | 17.8737i | 1.03262 | + | 0.815821i | ||||
\(481\) | 2.17795 | 0.0993062 | ||||||||
\(482\) | −8.39528 | + | 8.39528i | −0.382395 | + | 0.382395i | ||||
\(483\) | 0.0446838 | + | 12.4378i | 0.00203319 | + | 0.565937i | ||||
\(484\) | 1.26993i | 0.0577242i | ||||||||
\(485\) | 4.46551 | − | 5.61064i | 0.202768 | − | 0.254766i | ||||
\(486\) | −23.6345 | + | 24.4993i | −1.07208 | + | 1.11131i | ||||
\(487\) | −28.6505 | − | 28.6505i | −1.29828 | − | 1.29828i | −0.929529 | − | 0.368749i | \(-0.879786\pi\) |
−0.368749 | − | 0.929529i | \(-0.620214\pi\) | |||||||
\(488\) | 8.07948 | + | 8.07948i | 0.365741 | + | 0.365741i | ||||
\(489\) | −6.17247 | + | 6.21698i | −0.279129 | + | 0.281141i | ||||
\(490\) | 3.04083 | − | 3.82062i | 0.137370 | − | 0.172598i | ||||
\(491\) | 2.74522i | 0.123890i | 0.998080 | + | 0.0619450i | \(0.0197303\pi\) | ||||
−0.998080 | + | 0.0619450i | \(0.980270\pi\) | |||||||
\(492\) | −0.151046 | 0.000542646i | −0.00680966 | 2.44644e-5i | ||||||
\(493\) | −0.475888 | + | 0.475888i | −0.0214329 | + | 0.0214329i | ||||
\(494\) | −3.39119 | −0.152577 | ||||||||
\(495\) | 22.5435 | − | 2.72623i | 1.01325 | − | 0.122535i | ||||
\(496\) | 17.0642 | 0.766206 | ||||||||
\(497\) | −2.79628 | + | 2.79628i | −0.125430 | + | 0.125430i | ||||
\(498\) | −20.7574 | + | 0.0745730i | −0.930162 | + | 0.00334170i | ||||
\(499\) | 30.3151i | 1.35709i | 0.734558 | + | 0.678546i | \(0.237389\pi\) | ||||
−0.734558 | + | 0.678546i | \(0.762611\pi\) | |||||||
\(500\) | 29.1887 | − | 10.3083i | 1.30536 | − | 0.461003i | ||||
\(501\) | 11.0321 | − | 11.1117i | 0.492879 | − | 0.496433i | ||||
\(502\) | −36.0446 | − | 36.0446i | −1.60875 | − | 1.60875i | ||||
\(503\) | −0.331820 | − | 0.331820i | −0.0147951 | − | 0.0147951i | 0.699671 | − | 0.714466i | \(-0.253330\pi\) |
−0.714466 | + | 0.699671i | \(0.753330\pi\) | |||||||
\(504\) | −0.0361859 | − | 5.03611i | −0.00161185 | − | 0.224326i | ||||
\(505\) | −19.1878 | + | 2.18067i | −0.853848 | + | 0.0970384i | ||||
\(506\) | − | 53.0827i | − | 2.35982i | ||||||
\(507\) | −0.0803614 | − | 22.3686i | −0.00356898 | − | 0.993425i | ||||
\(508\) | −32.1925 | + | 32.1925i | −1.42831 | + | 1.42831i | ||||
\(509\) | 14.6491 | 0.649311 | 0.324656 | − | 0.945832i | \(-0.394752\pi\) | ||||
0.324656 | + | 0.945832i | \(0.394752\pi\) | |||||||
\(510\) | 1.98872 | − | 0.233255i | 0.0880620 | − | 0.0103287i | ||||
\(511\) | 12.1778 | 0.538713 | ||||||||
\(512\) | 14.2950 | − | 14.2950i | 0.631758 | − | 0.631758i | ||||
\(513\) | −0.297604 | − | 27.6117i | −0.0131395 | − | 1.21909i | ||||
\(514\) | − | 33.7466i | − | 1.48850i | ||||||
\(515\) | −2.38601 | − | 1.89903i | −0.105140 | − | 0.0836811i | ||||
\(516\) | −18.1382 | − | 18.0084i | −0.798492 | − | 0.792775i | ||||
\(517\) | −12.0725 | − | 12.0725i | −0.530946 | − | 0.530946i | ||||
\(518\) | −11.5086 | − | 11.5086i | −0.505660 | − | 0.505660i | ||||
\(519\) | −6.75820 | − | 6.70982i | −0.296652 | − | 0.294528i | ||||
\(520\) | −0.123868 | − | 1.08992i | −0.00543197 | − | 0.0477963i | ||||
\(521\) | − | 24.6501i | − | 1.07994i | −0.841683 | − | 0.539971i | \(-0.818435\pi\) | ||
0.841683 | − | 0.539971i | \(-0.181565\pi\) | |||||||
\(522\) | −13.0735 | + | 13.2628i | −0.572212 | + | 0.580495i | ||||
\(523\) | −23.4069 | + | 23.4069i | −1.02351 | + | 1.02351i | −0.0237950 | + | 0.999717i | \(0.507575\pi\) |
−0.999717 | + | 0.0237950i | \(0.992425\pi\) | |||||||
\(524\) | −35.1668 | −1.53627 | ||||||||
\(525\) | 7.35816 | + | 4.56699i | 0.321137 | + | 0.199320i | ||||
\(526\) | 56.1475 | 2.44815 | ||||||||
\(527\) | 1.52639 | − | 1.52639i | 0.0664907 | − | 0.0664907i | ||||
\(528\) | −0.0394214 | − | 10.9730i | −0.00171560 | − | 0.477536i | ||||
\(529\) | 28.5666i | 1.24203i | ||||||||
\(530\) | −2.77053 | − | 24.3781i | −0.120344 | − | 1.05892i | ||||
\(531\) | −30.9495 | + | 0.222381i | −1.34310 | + | 0.00965053i | ||||
\(532\) | 10.4041 | + | 10.4041i | 0.451076 | + | 0.451076i | ||||
\(533\) | −0.00650825 | − | 0.00650825i | −0.000281904 | − | 0.000281904i | ||||
\(534\) | −5.33487 | + | 5.37334i | −0.230862 | + | 0.232527i | ||||
\(535\) | 7.32005 | + | 5.82602i | 0.316473 | + | 0.251881i | ||||
\(536\) | − | 15.0710i | − | 0.650967i | ||||||
\(537\) | 25.3436 | − | 0.0910493i | 1.09366 | − | 0.00392907i | ||||
\(538\) | 44.0273 | − | 44.0273i | 1.89815 | − | 1.89815i | ||||
\(539\) | −3.38507 | −0.145805 | ||||||||
\(540\) | 31.9232 | − | 3.97696i | 1.37375 | − | 0.171141i | ||||
\(541\) | −27.2143 | −1.17003 | −0.585017 | − | 0.811021i | \(-0.698912\pi\) | ||||
−0.585017 | + | 0.811021i | \(0.698912\pi\) | |||||||
\(542\) | 4.82102 | − | 4.82102i | 0.207081 | − | 0.207081i | ||||
\(543\) | 17.0384 | − | 0.0612121i | 0.731187 | − | 0.00262686i | ||||
\(544\) | − | 1.76249i | − | 0.0755660i | ||||||
\(545\) | −6.26942 | + | 0.712509i | −0.268552 | + | 0.0305205i | ||||
\(546\) | 0.778743 | − | 0.784359i | 0.0333271 | − | 0.0335675i | ||||
\(547\) | −3.63475 | − | 3.63475i | −0.155411 | − | 0.155411i | 0.625119 | − | 0.780530i | \(-0.285051\pi\) |
−0.780530 | + | 0.625119i | \(0.785051\pi\) | |||||||
\(548\) | 14.3823 | + | 14.3823i | 0.614380 | + | 0.614380i | ||||
\(549\) | −20.4185 | + | 0.146713i | −0.871440 | + | 0.00626154i | ||||
\(550\) | −31.3333 | − | 19.6039i | −1.33605 | − | 0.835914i | ||||
\(551\) | − | 15.1065i | − | 0.643559i | ||||||
\(552\) | −0.0750128 | − | 20.8798i | −0.00319276 | − | 0.888705i | ||||
\(553\) | 8.09279 | − | 8.09279i | 0.344141 | − | 0.344141i | ||||
\(554\) | 37.8227 | 1.60693 | ||||||||
\(555\) | 17.8945 | − | 22.6499i | 0.759578 | − | 0.961433i | ||||
\(556\) | −34.0938 | −1.44590 | ||||||||
\(557\) | 5.91751 | − | 5.91751i | 0.250733 | − | 0.250733i | −0.570538 | − | 0.821271i | \(-0.693265\pi\) |
0.821271 | + | 0.570538i | \(0.193265\pi\) | |||||||
\(558\) | 41.9328 | − | 42.5397i | 1.77516 | − | 1.80085i | ||||
\(559\) | − | 1.55749i | − | 0.0658747i | ||||||
\(560\) | 2.60608 | − | 3.27439i | 0.110127 | − | 0.138368i | ||||
\(561\) | −0.985055 | − | 0.978002i | −0.0415890 | − | 0.0412913i | ||||
\(562\) | 19.6385 | + | 19.6385i | 0.828402 | + | 0.828402i | ||||
\(563\) | −13.8267 | − | 13.8267i | −0.582728 | − | 0.582728i | 0.352924 | − | 0.935652i | \(-0.385187\pi\) |
−0.935652 | + | 0.352924i | \(0.885187\pi\) | |||||||
\(564\) | −17.1643 | − | 17.0414i | −0.722749 | − | 0.717574i | ||||
\(565\) | 3.97393 | − | 4.99301i | 0.167185 | − | 0.210058i | ||||
\(566\) | 61.2316i | 2.57376i | ||||||||
\(567\) | 6.45475 | + | 6.27185i | 0.271074 | + | 0.263393i | ||||
\(568\) | 4.69425 | − | 4.69425i | 0.196966 | − | 0.196966i | ||||
\(569\) | −6.82232 | −0.286007 | −0.143003 | − | 0.989722i | \(-0.545676\pi\) | ||||
−0.143003 | + | 0.989722i | \(0.545676\pi\) | |||||||
\(570\) | −27.8626 | + | 35.2670i | −1.16704 | + | 1.47717i | ||||
\(571\) | 19.7545 | 0.826701 | 0.413351 | − | 0.910572i | \(-0.364358\pi\) | ||||
0.413351 | + | 0.910572i | \(0.364358\pi\) | |||||||
\(572\) | −1.93663 | + | 1.93663i | −0.0809747 | + | 0.0809747i | ||||
\(573\) | 0.0396926 | + | 11.0484i | 0.00165818 | + | 0.461555i | ||||
\(574\) | 0.0687811i | 0.00287087i | ||||||||
\(575\) | 30.4383 | + | 19.0440i | 1.26937 | + | 0.794189i | ||||
\(576\) | −0.269737 | − | 37.5402i | −0.0112390 | − | 1.56417i | ||||
\(577\) | 1.10727 | + | 1.10727i | 0.0460964 | + | 0.0460964i | 0.729779 | − | 0.683683i | \(-0.239623\pi\) |
−0.683683 | + | 0.729779i | \(0.739623\pi\) | |||||||
\(578\) | 26.1639 | + | 26.1639i | 1.08827 | + | 1.08827i | ||||
\(579\) | −13.0530 | + | 13.1471i | −0.542463 | + | 0.546375i | ||||
\(580\) | 17.4867 | − | 1.98734i | 0.726097 | − | 0.0825197i | ||||
\(581\) | 5.48799i | 0.227680i | ||||||||
\(582\) | −12.1295 | + | 0.0435762i | −0.502782 | + | 0.00180629i | ||||
\(583\) | −12.0268 | + | 12.0268i | −0.498100 | + | 0.498100i | ||||
\(584\) | −20.4434 | −0.845953 | ||||||||
\(585\) | 1.54252 | + | 1.20969i | 0.0637753 | + | 0.0500144i | ||||
\(586\) | −20.7791 | −0.858376 | ||||||||
\(587\) | 7.76708 | − | 7.76708i | 0.320582 | − | 0.320582i | −0.528408 | − | 0.848990i | \(-0.677211\pi\) |
0.848990 | + | 0.528408i | \(0.177211\pi\) | |||||||
\(588\) | −4.79558 | + | 0.0172286i | −0.197766 | + | 0.000710495i | ||||
\(589\) | 48.4535i | 1.99649i | ||||||||
\(590\) | 39.4165 | + | 31.3715i | 1.62275 | + | 1.29154i | ||||
\(591\) | 1.75154 | − | 1.76417i | 0.0720487 | − | 0.0725683i | ||||
\(592\) | −9.86325 | − | 9.86325i | −0.405377 | − | 0.405377i | ||||
\(593\) | −8.01301 | − | 8.01301i | −0.329055 | − | 0.329055i | 0.523172 | − | 0.852227i | \(-0.324748\pi\) |
−0.852227 | + | 0.523172i | \(0.824748\pi\) | |||||||
\(594\) | −27.4515 | − | 26.8661i | −1.12635 | − | 1.10233i | ||||
\(595\) | −0.0597798 | − | 0.526007i | −0.00245073 | − | 0.0215642i | ||||
\(596\) | − | 52.4261i | − | 2.14746i | ||||||
\(597\) | −0.0584943 | − | 16.2819i | −0.00239401 | − | 0.666373i | ||||
\(598\) | 3.24029 | − | 3.24029i | 0.132505 | − | 0.132505i | ||||
\(599\) | −20.3742 | −0.832467 | −0.416233 | − | 0.909258i | \(-0.636650\pi\) | ||||
−0.416233 | + | 0.909258i | \(0.636650\pi\) | |||||||
\(600\) | −12.3525 | − | 7.66682i | −0.504288 | − | 0.312997i | ||||
\(601\) | −32.4833 | −1.32502 | −0.662511 | − | 0.749052i | \(-0.730509\pi\) | ||||
−0.662511 | + | 0.749052i | \(0.730509\pi\) | |||||||
\(602\) | −8.22998 | + | 8.22998i | −0.335429 | + | 0.335429i | ||||
\(603\) | 19.1805 | + | 18.9069i | 0.781092 | + | 0.769947i | ||||
\(604\) | 5.27521i | 0.214645i | ||||||||
\(605\) | 0.115814 | + | 1.01905i | 0.00470849 | + | 0.0414303i | ||||
\(606\) | 23.1809 | + | 23.0149i | 0.941660 | + | 0.934918i | ||||
\(607\) | −0.0701607 | − | 0.0701607i | −0.00284774 | − | 0.00284774i | 0.705681 | − | 0.708529i | \(-0.250641\pi\) |
−0.708529 | + | 0.705681i | \(0.750641\pi\) | |||||||
\(608\) | 27.9740 | + | 27.9740i | 1.13450 | + | 1.13450i | ||||
\(609\) | 3.49404 | + | 3.46902i | 0.141586 | + | 0.140572i | ||||
\(610\) | 26.0044 | + | 20.6969i | 1.05289 | + | 0.837992i | ||||
\(611\) | − | 1.47386i | − | 0.0596260i | ||||||
\(612\) | −1.40049 | − | 1.38051i | −0.0566115 | − | 0.0558038i | ||||
\(613\) | −26.6840 | + | 26.6840i | −1.07776 | + | 1.07776i | −0.0810445 | + | 0.996710i | \(0.525826\pi\) |
−0.996710 | + | 0.0810445i | \(0.974174\pi\) | |||||||
\(614\) | 31.2239 | 1.26010 | ||||||||
\(615\) | −0.121156 | + | 0.0142103i | −0.00488549 | + | 0.000573014i | ||||
\(616\) | 5.68266 | 0.228961 | ||||||||
\(617\) | 6.37294 | − | 6.37294i | 0.256565 | − | 0.256565i | −0.567090 | − | 0.823656i | \(-0.691931\pi\) |
0.823656 | + | 0.567090i | \(0.191931\pi\) | |||||||
\(618\) | 0.0185315 | + | 5.15824i | 0.000745446 | + | 0.207495i | ||||
\(619\) | − | 17.7676i | − | 0.714139i | −0.934078 | − | 0.357070i | \(-0.883776\pi\) | ||
0.934078 | − | 0.357070i | \(-0.116224\pi\) | |||||||
\(620\) | −56.0879 | + | 6.37430i | −2.25255 | + | 0.255998i | ||||
\(621\) | 26.6675 | + | 26.0987i | 1.07013 | + | 1.04731i | ||||
\(622\) | −0.608631 | − | 0.608631i | −0.0244039 | − | 0.0244039i | ||||
\(623\) | 1.41556 | + | 1.41556i | 0.0567130 | + | 0.0567130i | ||||
\(624\) | 0.667407 | − | 0.672220i | 0.0267177 | − | 0.0269103i | ||||
\(625\) | 22.4823 | − | 10.9338i | 0.899291 | − | 0.437351i | ||||
\(626\) | 32.0594i | 1.28135i | ||||||||
\(627\) | 31.1575 | − | 0.111936i | 1.24431 | − | 0.00447030i | ||||
\(628\) | −11.9535 | + | 11.9535i | −0.476995 | + | 0.476995i | ||||
\(629\) | −1.76453 | −0.0703565 | ||||||||
\(630\) | −1.75873 | − | 14.5431i | −0.0700693 | − | 0.579409i | ||||
\(631\) | 17.8248 | 0.709592 | 0.354796 | − | 0.934944i | \(-0.384550\pi\) | ||||
0.354796 | + | 0.934944i | \(0.384550\pi\) | |||||||
\(632\) | −13.5857 | + | 13.5857i | −0.540412 | + | 0.540412i | ||||
\(633\) | 14.3613 | − | 0.0515944i | 0.570811 | − | 0.00205070i | ||||
\(634\) | 61.1712i | 2.42942i | ||||||||
\(635\) | −22.8968 | + | 28.7685i | −0.908633 | + | 1.14164i | ||||
\(636\) | −16.9770 | + | 17.0995i | −0.673183 | + | 0.678038i | ||||
\(637\) | −0.206632 | − | 0.206632i | −0.00818705 | − | 0.00818705i | ||||
\(638\) | −14.8587 | − | 14.8587i | −0.588262 | − | 0.588262i | ||||
\(639\) | 0.0852413 | + | 11.8633i | 0.00337210 | + | 0.469306i | ||||
\(640\) | −17.3195 | + | 21.7609i | −0.684614 | + | 0.860177i | ||||
\(641\) | 14.8270i | 0.585630i | 0.956169 | + | 0.292815i | \(0.0945920\pi\) | ||||
−0.956169 | + | 0.292815i | \(0.905408\pi\) | |||||||
\(642\) | −0.0568527 | − | 15.8250i | −0.00224380 | − | 0.624562i | ||||
\(643\) | −32.7229 | + | 32.7229i | −1.29047 | + | 1.29047i | −0.355968 | + | 0.934498i | \(0.615849\pi\) |
−0.934498 | + | 0.355968i | \(0.884151\pi\) | |||||||
\(644\) | −19.8823 | −0.783474 | ||||||||
\(645\) | −16.1972 | − | 12.7966i | −0.637766 | − | 0.503865i | ||||
\(646\) | 2.74747 | 0.108098 | ||||||||
\(647\) | −27.0564 | + | 27.0564i | −1.06370 | + | 1.06370i | −0.0658674 | + | 0.997828i | \(0.520981\pi\) |
−0.997828 | + | 0.0658674i | \(0.979019\pi\) | |||||||
\(648\) | −10.8359 | − | 10.5289i | −0.425674 | − | 0.413612i | ||||
\(649\) | − | 34.9230i | − | 1.37085i | ||||||
\(650\) | −0.715985 | − | 3.10932i | −0.0280833 | − | 0.121958i | ||||
\(651\) | −11.2070 | − | 11.1267i | −0.439236 | − | 0.436091i | ||||
\(652\) | −9.90255 | − | 9.90255i | −0.387814 | − | 0.387814i | ||||
\(653\) | −4.04918 | − | 4.04918i | −0.158457 | − | 0.158457i | 0.623426 | − | 0.781883i | \(-0.285740\pi\) |
−0.781883 | + | 0.623426i | \(0.785740\pi\) | |||||||
\(654\) | 7.57410 | + | 7.51988i | 0.296171 | + | 0.294050i | ||||
\(655\) | −28.2194 | + | 3.20709i | −1.10262 | + | 0.125311i | ||||
\(656\) | 0.0589475i | 0.00230151i | ||||||||
\(657\) | 25.6467 | − | 26.0179i | 1.00057 | − | 1.01506i | ||||
\(658\) | −7.78809 | + | 7.78809i | −0.303611 | + | 0.303611i | ||||
\(659\) | 11.5870 | 0.451366 | 0.225683 | − | 0.974201i | \(-0.427539\pi\) | ||||
0.225683 | + | 0.974201i | \(0.427539\pi\) | |||||||
\(660\) | 4.22849 | + | 36.0520i | 0.164594 | + | 1.40332i | ||||
\(661\) | −15.1550 | −0.589462 | −0.294731 | − | 0.955580i | \(-0.595230\pi\) | ||||
−0.294731 | + | 0.955580i | \(0.595230\pi\) | |||||||
\(662\) | −38.1940 | + | 38.1940i | −1.48445 | + | 1.48445i | ||||
\(663\) | −0.000430499 | − | 0.119829i | −1.67192e−5 | − | 0.00465379i | ||||
\(664\) | − | 9.21294i | − | 0.357531i | ||||||
\(665\) | 9.29755 | + | 7.39991i | 0.360544 | + | 0.286956i | ||||
\(666\) | −48.8257 | + | 0.350827i | −1.89196 | + | 0.0135943i | ||||
\(667\) | 14.4343 | + | 14.4343i | 0.558899 | + | 0.558899i | ||||
\(668\) | 17.6990 | + | 17.6990i | 0.684793 | + | 0.684793i | ||||
\(669\) | −6.66199 | + | 6.71003i | −0.257568 | + | 0.259425i | ||||
\(670\) | −4.95017 | − | 43.5569i | −0.191242 | − | 1.68275i | ||||
\(671\) | − | 23.0399i | − | 0.889445i | ||||||
\(672\) | −12.8941 | + | 0.0463233i | −0.497400 | + | 0.00178696i | ||||
\(673\) | −13.7667 | + | 13.7667i | −0.530666 | + | 0.530666i | −0.920770 | − | 0.390105i | \(-0.872439\pi\) |
0.390105 | + | 0.920770i | \(0.372439\pi\) | |||||||
\(674\) | −10.5045 | −0.404617 | ||||||||
\(675\) | 25.2539 | − | 6.10257i | 0.972022 | − | 0.234888i | ||||
\(676\) | 35.7573 | 1.37528 | ||||||||
\(677\) | 16.3594 | − | 16.3594i | 0.628742 | − | 0.628742i | −0.319009 | − | 0.947752i | \(-0.603350\pi\) |
0.947752 | + | 0.319009i | \(0.103350\pi\) | |||||||
\(678\) | −10.7942 | + | 0.0387793i | −0.414549 | + | 0.00148931i | ||||
\(679\) | 3.20687i | 0.123068i | ||||||||
\(680\) | 0.100355 | + | 0.883031i | 0.00384844 | + | 0.0338627i | ||||
\(681\) | −2.60148 | + | 2.62024i | −0.0996891 | + | 0.100408i | ||||
\(682\) | 47.6587 | + | 47.6587i | 1.82495 | + | 1.82495i | ||||
\(683\) | 5.85622 | + | 5.85622i | 0.224082 | + | 0.224082i | 0.810215 | − | 0.586133i | \(-0.199350\pi\) |
−0.586133 | + | 0.810215i | \(0.699350\pi\) | |||||||
\(684\) | 44.1398 | − | 0.317157i | 1.68773 | − | 0.0121268i | ||||
\(685\) | 12.8526 | + | 10.2294i | 0.491072 | + | 0.390844i | ||||
\(686\) | 2.18375i | 0.0833758i | ||||||||
\(687\) | 0.0389535 | + | 10.8427i | 0.00148617 | + | 0.413676i | ||||
\(688\) | −7.05335 | + | 7.05335i | −0.268906 | + | 0.268906i | ||||
\(689\) | −1.46829 | −0.0559373 | ||||||||
\(690\) | −7.07492 | − | 60.3205i | −0.269338 | − | 2.29636i | ||||
\(691\) | 25.9095 | 0.985642 | 0.492821 | − | 0.870131i | \(-0.335966\pi\) | ||||
0.492821 | + | 0.870131i | \(0.335966\pi\) | |||||||
\(692\) | 10.7646 | − | 10.7646i | 0.409210 | − | 0.409210i | ||||
\(693\) | −7.12903 | + | 7.23222i | −0.270809 | + | 0.274729i | ||||
\(694\) | − | 74.2189i | − | 2.81731i | ||||||
\(695\) | −27.3584 | + | 3.10923i | −1.03776 | + | 0.117940i | ||||
\(696\) | −5.86560 | − | 5.82361i | −0.222335 | − | 0.220743i | ||||
\(697\) | 0.00527284 | + | 0.00527284i | 0.000199723 | + | 0.000199723i | ||||
\(698\) | 14.4698 | + | 14.4698i | 0.547691 | + | 0.547691i | ||||
\(699\) | 4.64849 | + | 4.61521i | 0.175822 | + | 0.174563i | ||||
\(700\) | −7.34272 | + | 11.7360i | −0.277529 | + | 0.443579i | ||||
\(701\) | 37.9089i | 1.43180i | 0.698204 | + | 0.715899i | \(0.253983\pi\) | ||||
−0.698204 | + | 0.715899i | \(0.746017\pi\) | |||||||
\(702\) | −0.0357368 | − | 3.31567i | −0.00134880 | − | 0.125142i | ||||
\(703\) | 28.0065 | − | 28.0065i | 1.05628 | − | 1.05628i | ||||
\(704\) | 42.3598 | 1.59649 | ||||||||
\(705\) | −15.3276 | − | 12.1095i | −0.577269 | − | 0.456070i | ||||
\(706\) | 45.0542 | 1.69564 | ||||||||
\(707\) | 6.10679 | − | 6.10679i | 0.229669 | − | 0.229669i | ||||
\(708\) | −0.177743 | − | 49.4749i | −0.00668001 | − | 1.85938i | ||||
\(709\) | − | 16.6841i | − | 0.626586i | −0.949656 | − | 0.313293i | \(-0.898568\pi\) | ||
0.949656 | − | 0.313293i | \(-0.101432\pi\) | |||||||
\(710\) | 12.0251 | − | 15.1088i | 0.451293 | − | 0.567023i | ||||
\(711\) | −0.246699 | − | 34.3339i | −0.00925194 | − | 1.28762i | ||||
\(712\) | −2.37636 | − | 2.37636i | −0.0890578 | − | 0.0890578i | ||||
\(713\) | −46.2975 | − | 46.2975i | −1.73385 | − | 1.73385i | ||||
\(714\) | −0.630921 | + | 0.635470i | −0.0236116 | + | 0.0237819i | ||||
\(715\) | −1.37743 | + | 1.73066i | −0.0515129 | + | 0.0647229i | ||||
\(716\) | 40.5129i | 1.51404i | ||||||||
\(717\) | −3.61167 | + | 0.0129753i | −0.134880 | + | 0.000484570i | ||||
\(718\) | 42.1016 | − | 42.1016i | 1.57122 | − | 1.57122i | ||||
\(719\) | 13.0709 | 0.487464 | 0.243732 | − | 0.969843i | \(-0.421628\pi\) | ||||
0.243732 | + | 0.969843i | \(0.421628\pi\) | |||||||
\(720\) | −1.50728 | − | 12.4638i | −0.0561731 | − | 0.464500i | ||||
\(721\) | 1.36377 | 0.0507895 | ||||||||
\(722\) | −14.2688 | + | 14.2688i | −0.531031 | + | 0.531031i | ||||
\(723\) | 9.41686 | − | 0.0338310i | 0.350217 | − | 0.00125819i | ||||
\(724\) | 27.2367i | 1.01224i | ||||||||
\(725\) | 13.8509 | − | 3.18946i | 0.514409 | − | 0.118454i | ||||
\(726\) | 1.22231 | − | 1.23112i | 0.0453640 | − | 0.0456911i | ||||
\(727\) | 19.4878 | + | 19.4878i | 0.722761 | + | 0.722761i | 0.969167 | − | 0.246406i | \(-0.0792495\pi\) |
−0.246406 | + | 0.969167i | \(0.579250\pi\) | |||||||
\(728\) | 0.346882 | + | 0.346882i | 0.0128563 | + | 0.0128563i | ||||
\(729\) | 26.9937 | − | 0.581953i | 0.999768 | − | 0.0215538i | ||||
\(730\) | −59.0838 | + | 6.71478i | −2.18679 | + | 0.248525i | ||||
\(731\) | 1.26184i | 0.0466709i | ||||||||
\(732\) | −0.117264 | − | 32.6403i | −0.00433418 | − | 1.20642i | ||||
\(733\) | 24.5624 | − | 24.5624i | 0.907232 | − | 0.907232i | −0.0888162 | − | 0.996048i | \(-0.528308\pi\) |
0.996048 | + | 0.0888162i | \(0.0283084\pi\) | |||||||
\(734\) | 49.1774 | 1.81517 | ||||||||
\(735\) | −3.84662 | + | 0.451165i | −0.141885 | + | 0.0166415i | ||||
\(736\) | −53.4585 | −1.97051 | ||||||||
\(737\) | −21.4886 | + | 21.4886i | −0.791543 | + | 0.791543i | ||||
\(738\) | 0.146951 | + | 0.144855i | 0.00540935 | + | 0.00533217i | ||||
\(739\) | − | 25.3925i | − | 0.934079i | −0.884236 | − | 0.467040i | \(-0.845321\pi\) | ||
0.884236 | − | 0.467040i | \(-0.154679\pi\) | |||||||
\(740\) | 36.1036 | + | 28.7348i | 1.32720 | + | 1.05631i | ||||
\(741\) | 1.90875 | + | 1.89509i | 0.0701198 | + | 0.0696178i | ||||
\(742\) | 7.75865 | + | 7.75865i | 0.284829 | + | 0.284829i | ||||
\(743\) | −14.4447 | − | 14.4447i | −0.529923 | − | 0.529923i | 0.390626 | − | 0.920549i | \(-0.372258\pi\) |
−0.920549 | + | 0.390626i | \(0.872258\pi\) | |||||||
\(744\) | 18.8137 | + | 18.6790i | 0.689742 | + | 0.684804i | ||||
\(745\) | −4.78108 | − | 42.0691i | −0.175165 | − | 1.54129i | ||||
\(746\) | − | 72.0445i | − | 2.63774i | ||||||
\(747\) | 11.7251 | + | 11.5578i | 0.429000 | + | 0.422879i | ||||
\(748\) | 1.56902 | − | 1.56902i | 0.0573690 | − | 0.0573690i | ||||
\(749\) | −4.18391 | −0.152877 | ||||||||
\(750\) | −38.2184 | − | 18.1008i | −1.39554 | − | 0.660946i | ||||
\(751\) | 27.4358 | 1.00115 | 0.500573 | − | 0.865694i | \(-0.333123\pi\) | ||||
0.500573 | + | 0.865694i | \(0.333123\pi\) | |||||||
\(752\) | −6.67463 | + | 6.67463i | −0.243399 | + | 0.243399i | ||||
\(753\) | 0.145251 | + | 40.4307i | 0.00529325 | + | 1.47338i | ||||
\(754\) | − | 1.81402i | − | 0.0660627i | ||||||
\(755\) | 0.481081 | + | 4.23306i | 0.0175083 | + | 0.154057i | ||||
\(756\) | −10.0628 | + | 10.2821i | −0.365980 | + | 0.373955i | ||||
\(757\) | −11.9760 | − | 11.9760i | −0.435274 | − | 0.435274i | 0.455144 | − | 0.890418i | \(-0.349588\pi\) |
−0.890418 | + | 0.455144i | \(0.849588\pi\) | |||||||
\(758\) | −57.8245 | − | 57.8245i | −2.10028 | − | 2.10028i | ||||
\(759\) | −29.6641 | + | 29.8780i | −1.07674 | + | 1.08450i | ||||
\(760\) | −15.6082 | − | 12.4226i | −0.566170 | − | 0.450614i | ||||
\(761\) | − | 41.1635i | − | 1.49217i | −0.665848 | − | 0.746087i | \(-0.731930\pi\) | ||
0.665848 | − | 0.746087i | \(-0.268070\pi\) | |||||||
\(762\) | 62.1937 | − | 0.223437i | 2.25304 | − | 0.00809426i | ||||
\(763\) | 1.99533 | − | 1.99533i | 0.0722357 | − | 0.0722357i | ||||
\(764\) | −17.6614 | −0.638969 | ||||||||
\(765\) | −1.24971 | − | 0.980062i | −0.0451835 | − | 0.0354342i | ||||
\(766\) | −15.3007 | −0.552836 | ||||||||
\(767\) | 2.13178 | − | 2.13178i | 0.0769740 | − | 0.0769740i | ||||
\(768\) | 3.69569 | − | 0.0132771i | 0.133357 | − | 0.000479097i | ||||
\(769\) | 3.96520i | 0.142989i | 0.997441 | + | 0.0714944i | \(0.0227768\pi\) | ||||
−0.997441 | + | 0.0714944i | \(0.977223\pi\) | |||||||
\(770\) | 16.4236 | − | 1.86651i | 0.591864 | − | 0.0672644i | ||||
\(771\) | −18.8585 | + | 18.9945i | −0.679174 | + | 0.684071i | ||||
\(772\) | −20.9410 | − | 20.9410i | −0.753684 | − | 0.753684i | ||||
\(773\) | −5.99943 | − | 5.99943i | −0.215785 | − | 0.215785i | 0.590935 | − | 0.806719i | \(-0.298759\pi\) |
−0.806719 | + | 0.590935i | \(0.798759\pi\) | |||||||
\(774\) | 0.250881 | + | 34.9160i | 0.00901774 | + | 1.25503i | ||||
\(775\) | −44.4262 | + | 10.2301i | −1.59583 | + | 0.367474i | ||||
\(776\) | − | 5.38352i | − | 0.193257i | ||||||
\(777\) | 0.0463770 | + | 12.9090i | 0.00166377 | + | 0.463109i | ||||
\(778\) | 14.2104 | − | 14.2104i | 0.509468 | − | 0.509468i | ||||
\(779\) | −0.167380 | −0.00599702 | ||||||||
\(780\) | −1.94258 | + | 2.45881i | −0.0695554 | + | 0.0880395i | ||||
\(781\) | −13.3864 | −0.479002 | ||||||||
\(782\) | −2.62521 | + | 2.62521i | −0.0938774 | + | 0.0938774i | ||||
\(783\) | 14.7701 | − | 0.159195i | 0.527841 | − | 0.00568916i | ||||
\(784\) | 1.87154i | 0.0668406i | ||||||||
\(785\) | −8.50188 | + | 10.6821i | −0.303445 | + | 0.381261i | ||||
\(786\) | 34.0920 | + | 33.8479i | 1.21602 | + | 1.20731i | ||||
\(787\) | 15.8108 | + | 15.8108i | 0.563593 | + | 0.563593i | 0.930326 | − | 0.366733i | \(-0.119524\pi\) |
−0.366733 | + | 0.930326i | \(0.619524\pi\) | |||||||
\(788\) | 2.81001 | + | 2.81001i | 0.100103 | + | 0.100103i | ||||
\(789\) | −31.6030 | − | 31.3768i | −1.12510 | − | 1.11704i | ||||
\(790\) | −34.8021 | + | 43.7267i | −1.23820 | + | 1.55573i | ||||
\(791\) | 2.85385i | 0.101471i | ||||||||
\(792\) | 11.9678 | − | 12.1411i | 0.425258 | − | 0.431414i | ||||
\(793\) | 1.40641 | − | 1.40641i | 0.0499429 | − | 0.0499429i | ||||
\(794\) | 67.7082 | 2.40287 | ||||||||
\(795\) | −12.0637 | + | 15.2696i | −0.427856 | + | 0.541558i | ||||
\(796\) | 26.0274 | 0.922515 | ||||||||
\(797\) | 8.46554 | − | 8.46554i | 0.299865 | − | 0.299865i | −0.541096 | − | 0.840961i | \(-0.681990\pi\) |
0.840961 | + | 0.541096i | \(0.181990\pi\) | |||||||
\(798\) | −0.0722114 | − | 20.1000i | −0.00255625 | − | 0.711534i | ||||
\(799\) | 1.19409i | 0.0422438i | ||||||||
\(800\) | −19.7427 | + | 31.5551i | −0.698010 | + | 1.11564i | ||||
\(801\) | 6.00554 | − | 0.0431515i | 0.212195 | − | 0.00152468i | ||||
\(802\) | 39.7638 | + | 39.7638i | 1.40411 | + | 1.40411i | ||||
\(803\) | 29.1488 | + | 29.1488i | 1.02864 | + | 1.02864i | ||||
\(804\) | −30.3333 | + | 30.5520i | −1.06977 | + | 1.07749i | ||||
\(805\) | −15.9545 | + | 1.81320i | −0.562321 | + | 0.0639069i | ||||
\(806\) | 5.81839i | 0.204944i | ||||||||
\(807\) | −49.3848 | + | 0.177420i | −1.73843 | + | 0.00624547i | ||||
\(808\) | −10.2517 | + | 10.2517i | −0.360655 | + | 0.360655i | ||||
\(809\) | 25.5350 | 0.897764 | 0.448882 | − | 0.893591i | \(-0.351822\pi\) | ||||
0.448882 | + | 0.893591i | \(0.351822\pi\) | |||||||
\(810\) | −34.7753 | − | 26.8705i | −1.22188 | − | 0.944133i | ||||
\(811\) | −1.94760 | −0.0683895 | −0.0341947 | − | 0.999415i | \(-0.510887\pi\) | ||||
−0.0341947 | + | 0.999415i | \(0.510887\pi\) | |||||||
\(812\) | −5.56539 | + | 5.56539i | −0.195307 | + | 0.195307i | ||||
\(813\) | −5.40767 | + | 0.0194276i | −0.189655 | + | 0.000681355i | ||||
\(814\) | − | 55.0942i | − | 1.93105i | ||||||
\(815\) | −8.84933 | − | 7.04317i | −0.309978 | − | 0.246712i | ||||
\(816\) | −0.540719 | + | 0.544618i | −0.0189289 | + | 0.0190654i | ||||
\(817\) | −20.0278 | − | 20.0278i | −0.700685 | − | 0.700685i | ||||
\(818\) | −16.9078 | − | 16.9078i | −0.591167 | − | 0.591167i | ||||
\(819\) | −0.876642 | + | 0.00629893i | −0.0306324 | + | 0.000220102i | ||||
\(820\) | −0.0220197 | − | 0.193753i | −0.000768962 | − | 0.00676615i | ||||
\(821\) | − | 21.6742i | − | 0.756434i | −0.925717 | − | 0.378217i | \(-0.876537\pi\) | ||
0.925717 | − | 0.378217i | \(-0.123463\pi\) | |||||||
\(822\) | −0.0998224 | − | 27.7856i | −0.00348171 | − | 0.969133i | ||||
\(823\) | 8.35207 | − | 8.35207i | 0.291135 | − | 0.291135i | −0.546394 | − | 0.837528i | \(-0.684000\pi\) |
0.837528 | + | 0.546394i | \(0.184000\pi\) | |||||||
\(824\) | −2.28943 | −0.0797559 | ||||||||
\(825\) | 6.68095 | + | 28.5441i | 0.232601 | + | 0.993778i | ||||
\(826\) | −22.5292 | −0.783892 | ||||||||
\(827\) | −14.1747 | + | 14.1747i | −0.492902 | + | 0.492902i | −0.909219 | − | 0.416318i | \(-0.863320\pi\) |
0.416318 | + | 0.909219i | \(0.363320\pi\) | |||||||
\(828\) | −41.8727 | + | 42.4788i | −1.45518 | + | 1.47624i | ||||
\(829\) | − | 19.3836i | − | 0.673219i | −0.941644 | − | 0.336610i | \(-0.890720\pi\) | ||
0.941644 | − | 0.336610i | \(-0.109280\pi\) | |||||||
\(830\) | −3.02605 | − | 26.6265i | −0.105036 | − | 0.924218i | ||||
\(831\) | −21.2888 | − | 21.1364i | −0.738500 | − | 0.733213i | ||||
\(832\) | 2.58573 | + | 2.58573i | 0.0896442 | + | 0.0896442i | ||||
\(833\) | 0.167409 | + | 0.167409i | 0.00580037 | + | 0.00580037i | ||||
\(834\) | 33.0517 | + | 32.8151i | 1.14449 | + | 1.13629i | ||||
\(835\) | 15.8165 | + | 12.5884i | 0.547353 | + | 0.435638i | ||||
\(836\) | 49.8066i | 1.72260i | ||||||||
\(837\) | −47.3745 | + | 0.510610i | −1.63750 | + | 0.0176493i | ||||
\(838\) | −9.06346 | + | 9.06346i | −0.313092 | + | 0.313092i | ||||
\(839\) | 26.2528 | 0.906346 | 0.453173 | − | 0.891423i | \(-0.350292\pi\) | ||||
0.453173 | + | 0.891423i | \(0.350292\pi\) | |||||||
\(840\) | 6.45749 | − | 0.757391i | 0.222805 | − | 0.0261325i | ||||
\(841\) | −20.9192 | −0.721352 | ||||||||
\(842\) | 41.5131 | − | 41.5131i | 1.43063 | − | 1.43063i | ||||
\(843\) | −0.0791386 | − | 22.0282i | −0.00272568 | − | 0.758693i | ||||
\(844\) | 22.9572i | 0.790221i | ||||||||
\(845\) | 28.6932 | − | 3.26094i | 0.987077 | − | 0.112180i | ||||
\(846\) | 0.237410 | + | 33.0412i | 0.00816234 | + | 1.13598i | ||||
\(847\) | −0.324327 | − | 0.324327i | −0.0111440 | − | 0.0111440i | ||||
\(848\) | 6.64940 | + | 6.64940i | 0.228341 | + | 0.228341i | ||||
\(849\) | 34.2179 | − | 34.4646i | 1.17435 | − | 1.18282i | ||||
\(850\) | 0.580076 | + | 2.51910i | 0.0198964 | + | 0.0864045i | ||||
\(851\) | 53.5206i | 1.83466i | ||||||||
\(852\) | −18.9643 | + | 0.0681311i | −0.649707 | + | 0.00233413i | ||||
\(853\) | 29.8920 | − | 29.8920i | 1.02348 | − | 1.02348i | 0.0237636 | − | 0.999718i | \(-0.492435\pi\) |
0.999718 | − | 0.0237636i | \(-0.00756489\pi\) | |||||||
\(854\) | −14.8633 | −0.508612 | ||||||||
\(855\) | 35.3908 | − | 4.27990i | 1.21034 | − | 0.146369i | ||||
\(856\) | 7.02373 | 0.240066 | ||||||||
\(857\) | 5.92367 | − | 5.92367i | 0.202349 | − | 0.202349i | −0.598657 | − | 0.801006i | \(-0.704299\pi\) |
0.801006 | + | 0.598657i | \(0.204299\pi\) | |||||||
\(858\) | 3.74145 | − | 0.0134415i | 0.127731 | − | 0.000458885i | ||||
\(859\) | 10.3620i | 0.353548i | 0.984252 | + | 0.176774i | \(0.0565661\pi\) | ||||
−0.984252 | + | 0.176774i | \(0.943434\pi\) | |||||||
\(860\) | 20.5487 | − | 25.8182i | 0.700705 | − | 0.880394i | ||||
\(861\) | 0.0384368 | − | 0.0387139i | 0.00130992 | − | 0.00131937i | ||||
\(862\) | 6.45633 | + | 6.45633i | 0.219904 | + | 0.219904i | ||||
\(863\) | −13.2818 | − | 13.2818i | −0.452118 | − | 0.452118i | 0.443939 | − | 0.896057i | \(-0.353581\pi\) |
−0.896057 | + | 0.443939i | \(0.853581\pi\) | |||||||
\(864\) | −27.0563 | + | 27.6459i | −0.920474 | + | 0.940532i | ||||
\(865\) | 7.65632 | − | 9.61971i | 0.260323 | − | 0.327080i | ||||
\(866\) | 6.82129i | 0.231797i | ||||||||
\(867\) | −0.105434 | − | 29.3476i | −0.00358073 | − | 0.996696i | ||||
\(868\) | 17.8507 | − | 17.8507i | 0.605894 | − | 0.605894i | ||||
\(869\) | 38.7419 | 1.31423 | ||||||||
\(870\) | −18.8651 | − | 14.9043i | −0.639586 | − | 0.505303i | ||||
\(871\) | −2.62342 | −0.0888913 | ||||||||
\(872\) | −3.34965 | + | 3.34965i | −0.113433 | + | 0.113433i | ||||
\(873\) | 6.85150 | + | 6.75374i | 0.231888 | + | 0.228580i | ||||
\(874\) | − | 83.3342i | − | 2.81882i | ||||||
\(875\) | −4.82184 | + | 10.0871i | −0.163008 | + | 0.341007i | ||||
\(876\) | 41.4430 | + | 41.1463i | 1.40023 | + | 1.39020i | ||||
\(877\) | 4.84197 | + | 4.84197i | 0.163502 | + | 0.163502i | 0.784116 | − | 0.620614i | \(-0.213117\pi\) |
−0.620614 | + | 0.784116i | \(0.713117\pi\) | |||||||
\(878\) | −42.6227 | − | 42.6227i | −1.43845 | − | 1.43845i | ||||
\(879\) | 11.6957 | + | 11.6119i | 0.394485 | + | 0.391660i | ||||
\(880\) | 14.0755 | − | 1.59966i | 0.474485 | − | 0.0539245i | ||||
\(881\) | 17.0394i | 0.574073i | 0.957920 | + | 0.287036i | \(0.0926701\pi\) | ||||
−0.957920 | + | 0.287036i | \(0.907330\pi\) | |||||||
\(882\) | 4.66559 | + | 4.59902i | 0.157099 | + | 0.154857i | ||||
\(883\) | 12.2389 | − | 12.2389i | 0.411871 | − | 0.411871i | −0.470519 | − | 0.882390i | \(-0.655933\pi\) |
0.882390 | + | 0.470519i | \(0.155933\pi\) | |||||||
\(884\) | 0.191553 | 0.00644262 | ||||||||
\(885\) | −4.65457 | − | 39.6847i | −0.156462 | − | 1.33399i | ||||
\(886\) | 37.9983 | 1.27658 | ||||||||
\(887\) | −41.0767 | + | 41.0767i | −1.37922 | + | 1.37922i | −0.533287 | + | 0.845934i | \(0.679043\pi\) |
−0.845934 | + | 0.533287i | \(0.820957\pi\) | |||||||
\(888\) | −0.0778552 | − | 21.6710i | −0.00261265 | − | 0.727231i | ||||
\(889\) | − | 16.4432i | − | 0.551487i | ||||||
\(890\) | −7.64848 | − | 6.08742i | −0.256378 | − | 0.204051i | ||||
\(891\) | 0.437785 | + | 30.4624i | 0.0146664 | + | 1.02053i | ||||
\(892\) | −10.6879 | − | 10.6879i | −0.357858 | − | 0.357858i | ||||
\(893\) | −18.9525 | − | 18.9525i | −0.634220 | − | 0.634220i | ||||
\(894\) | −50.4599 | + | 50.8238i | −1.68763 | + | 1.69980i | ||||
\(895\) | 3.69464 | + | 32.5094i | 0.123498 | + | 1.08667i | ||||
\(896\) | − | 12.4379i | − | 0.415520i | ||||||
\(897\) | −3.63458 | + | 0.0130576i | −0.121355 | + | 0.000435980i | ||||
\(898\) | −52.7879 | + | 52.7879i | −1.76155 | + | 1.76155i | ||||
\(899\) | −25.9188 | −0.864441 | ||||||||
\(900\) | 9.61009 | + | 40.4040i | 0.320336 | + | 1.34680i | ||||
\(901\) | 1.18958 | 0.0396305 | ||||||||
\(902\) | −0.164635 | + | 0.164635i | −0.00548173 | + | 0.00548173i | ||||
\(903\) | 9.23144 | − | 0.0331649i | 0.307203 | − | 0.00110366i | ||||
\(904\) | − | 4.79089i | − | 0.159343i | ||||||
\(905\) | 2.48389 | + | 21.8559i | 0.0825673 | + | 0.726515i | ||||
\(906\) | 5.07736 | − | 5.11398i | 0.168684 | − | 0.169901i | ||||
\(907\) | 24.8992 | + | 24.8992i | 0.826765 | + | 0.826765i | 0.987068 | − | 0.160303i | \(-0.0512470\pi\) |
−0.160303 | + | 0.987068i | \(0.551247\pi\) | |||||||
\(908\) | −4.17359 | − | 4.17359i | −0.138505 | − | 0.138505i | ||||
\(909\) | −0.186158 | − | 25.9082i | −0.00617448 | − | 0.859322i | ||||
\(910\) | 1.11647 | + | 0.888595i | 0.0370105 | + | 0.0294566i | ||||
\(911\) | 23.4322i | 0.776342i | 0.921587 | + | 0.388171i | \(0.126893\pi\) | ||||
−0.921587 | + | 0.388171i | \(0.873107\pi\) | |||||||
\(912\) | −0.0618874 | − | 17.2264i | −0.00204930 | − | 0.570422i | ||||
\(913\) | −13.1361 | + | 13.1361i | −0.434740 | + | 0.434740i | ||||
\(914\) | −28.7526 | −0.951050 | ||||||||
\(915\) | −3.07078 | − | 26.1814i | −0.101517 | − | 0.865529i | ||||
\(916\) | −17.3326 | −0.572685 | ||||||||
\(917\) | 8.98121 | − | 8.98121i | 0.296586 | − | 0.296586i | ||||
\(918\) | 0.0289532 | + | 2.68628i | 0.000955598 | + | 0.0886605i | ||||
\(919\) | 31.9950i | 1.05542i | 0.849425 | + | 0.527710i | \(0.176949\pi\) | ||||
−0.849425 | + | 0.527710i | \(0.823051\pi\) | |||||||
\(920\) | 26.7835 | − | 3.04390i | 0.883026 | − | 0.100354i | ||||
\(921\) | −17.5746 | − | 17.4488i | −0.579103 | − | 0.574957i | ||||
\(922\) | 39.6195 | + | 39.6195i | 1.30480 | + | 1.30480i | ||||
\(923\) | −0.817134 | − | 0.817134i | −0.0268963 | − | 0.0268963i | ||||
\(924\) | −11.5199 | − | 11.4375i | −0.378978 | − | 0.376265i | ||||
\(925\) | 31.5917 | + | 19.7656i | 1.03873 | + | 0.649889i | ||||
\(926\) | − | 40.8180i | − | 1.34136i | ||||||
\(927\) | 2.87214 | − | 2.91371i | 0.0943333 | − | 0.0956987i | ||||
\(928\) | −14.9639 | + | 14.9639i | −0.491214 | + | 0.491214i | ||||
\(929\) | −49.7858 | −1.63342 | −0.816709 | − | 0.577050i | \(-0.804204\pi\) | ||||
−0.816709 | + | 0.577050i | \(0.804204\pi\) | |||||||
\(930\) | 60.5089 | + | 47.8049i | 1.98417 | + | 1.56758i | ||||
\(931\) | −5.31419 | −0.174166 | ||||||||
\(932\) | −7.40423 | + | 7.40423i | −0.242534 | + | 0.242534i | ||||
\(933\) | 0.00245264 | + | 0.682692i | 8.02958e−5 | + | 0.0223503i | ||||
\(934\) | 60.7340i | 1.98728i | ||||||||
\(935\) | 1.11596 | − | 1.40214i | 0.0364959 | − | 0.0458549i | ||||
\(936\) | 1.47166 | − | 0.0105743i | 0.0481027 | − | 0.000345632i | ||||
\(937\) | 18.0919 | + | 18.0919i | 0.591035 | + | 0.591035i | 0.937911 | − | 0.346876i | \(-0.112757\pi\) |
−0.346876 | + | 0.937911i | \(0.612757\pi\) | |||||||
\(938\) | 13.8626 | + | 13.8626i | 0.452628 | + | 0.452628i | ||||
\(939\) | 17.9157 | − | 18.0449i | 0.584656 | − | 0.588872i | ||||
\(940\) | 19.4454 | − | 24.4319i | 0.634238 | − | 0.796882i | ||||
\(941\) | − | 61.0502i | − | 1.99018i | −0.0989766 | − | 0.995090i | \(-0.531557\pi\) | ||
0.0989766 | − | 0.995090i | \(-0.468443\pi\) | |||||||
\(942\) | 23.0933 | − | 0.0829648i | 0.752419 | − | 0.00270314i | ||||
\(943\) | 0.159932 | − | 0.159932i | 0.00520811 | − | 0.00520811i | ||||
\(944\) | −19.3082 | −0.628430 | ||||||||
\(945\) | −7.13715 | + | 9.16849i | −0.232171 | + | 0.298251i | ||||
\(946\) | −39.3986 | −1.28096 | ||||||||
\(947\) | 28.1297 | − | 28.1297i | 0.914093 | − | 0.914093i | −0.0824986 | − | 0.996591i | \(-0.526290\pi\) |
0.996591 | + | 0.0824986i | \(0.0262900\pi\) | |||||||
\(948\) | 54.8851 | − | 0.197180i | 1.78259 | − | 0.00640411i | ||||
\(949\) | 3.55861i | 0.115517i | ||||||||
\(950\) | −49.1899 | − | 30.7761i | −1.59593 | − | 0.998507i | ||||
\(951\) | 34.1841 | − | 34.4306i | 1.10850 | − | 1.11649i | ||||
\(952\) | −0.281037 | − | 0.281037i | −0.00910845 | − | 0.00910845i | ||||
\(953\) | −16.4406 | − | 16.4406i | −0.532564 | − | 0.532564i | 0.388771 | − | 0.921335i | \(-0.372900\pi\) |
−0.921335 | + | 0.388771i | \(0.872900\pi\) | |||||||
\(954\) | 32.9163 | − | 0.236513i | 1.06571 | − | 0.00765740i | ||||
\(955\) | −14.1723 | + | 1.61066i | −0.458606 | + | 0.0521198i | ||||
\(956\) | − | 5.77342i | − | 0.186726i | ||||||
\(957\) | 0.0598771 | + | 16.6668i | 0.00193555 | + | 0.538761i | ||||
\(958\) | −41.6493 | + | 41.6493i | −1.34563 | + | 1.34563i | ||||
\(959\) | −7.34614 | −0.237219 | ||||||||
\(960\) | 48.1355 | − | 5.64575i | 1.55357 | − | 0.182216i | ||||
\(961\) | 52.1335 | 1.68173 | ||||||||
\(962\) | 3.36307 | − | 3.36307i | 0.108430 | − | 0.108430i | ||||
\(963\) | −8.81142 | + | 8.93897i | −0.283944 | + | 0.288054i | ||||
\(964\) | 15.0533i | 0.484834i | ||||||||
\(965\) | −18.7138 | − | 14.8943i | −0.602417 | − | 0.479463i | ||||
\(966\) | 19.2747 | + | 19.1367i | 0.620152 | + | 0.615712i | ||||
\(967\) | −3.29391 | − | 3.29391i | −0.105925 | − | 0.105925i | 0.652158 | − | 0.758083i | \(-0.273864\pi\) |
−0.758083 | + | 0.652158i | \(0.773864\pi\) | |||||||
\(968\) | 0.544462 | + | 0.544462i | 0.0174997 | + | 0.0174997i | ||||
\(969\) | −1.54643 | − | 1.53536i | −0.0496785 | − | 0.0493228i | ||||
\(970\) | −1.76825 | − | 15.5590i | −0.0567752 | − | 0.499569i | ||||
\(971\) | − | 32.3161i | − | 1.03707i | −0.855056 | − | 0.518536i | \(-0.826477\pi\) | ||
0.855056 | − | 0.518536i | \(-0.173523\pi\) | |||||||
\(972\) | 0.775246 | + | 43.1535i | 0.0248660 | + | 1.38415i | ||||
\(973\) | 8.70717 | − | 8.70717i | 0.279139 | − | 0.279139i | ||||
\(974\) | −88.4809 | −2.83511 | ||||||||
\(975\) | −1.33457 | + | 2.15021i | −0.0427406 | + | 0.0688620i | ||||
\(976\) | −12.7383 | −0.407744 | ||||||||
\(977\) | −8.42742 | + | 8.42742i | −0.269617 | + | 0.269617i | −0.828946 | − | 0.559329i | \(-0.811059\pi\) |
0.559329 | + | 0.828946i | \(0.311059\pi\) | |||||||
\(978\) | 0.0687302 | + | 19.1311i | 0.00219775 | + | 0.611744i | ||||
\(979\) | 6.77655i | 0.216580i | ||||||||
\(980\) | −0.699108 | − | 6.15151i | −0.0223322 | − | 0.196503i | ||||
\(981\) | −0.0608251 | − | 8.46523i | −0.00194200 | − | 0.270274i | ||||
\(982\) | 4.23900 | + | 4.23900i | 0.135272 | + | 0.135272i | ||||
\(983\) | 43.2280 | + | 43.2280i | 1.37876 | + | 1.37876i | 0.846718 | + | 0.532042i | \(0.178575\pi\) |
0.532042 | + | 0.846718i | \(0.321425\pi\) | |||||||
\(984\) | −0.0645255 | + | 0.0649908i | −0.00205700 | + | 0.00207183i | ||||
\(985\) | 2.51114 | + | 1.99862i | 0.0800117 | + | 0.0636812i | ||||
\(986\) | 1.46968i | 0.0468041i | ||||||||
\(987\) | 8.73578 | − | 0.0313841i | 0.278063 | − | 0.000998968i | ||||
\(988\) | −3.04031 | + | 3.04031i | −0.0967251 | + | 0.0967251i | ||||
\(989\) | 38.2733 | 1.21702 | ||||||||
\(990\) | 30.6006 | − | 39.0200i | 0.972551 | − | 1.24014i | ||||
\(991\) | −25.2971 | −0.803590 | −0.401795 | − | 0.915730i | \(-0.631614\pi\) | ||||
−0.401795 | + | 0.915730i | \(0.631614\pi\) | |||||||
\(992\) | 47.9961 | − | 47.9961i | 1.52388 | − | 1.52388i | ||||
\(993\) | 42.8417 | − | 0.153913i | 1.35954 | − | 0.00488428i | ||||
\(994\) | 8.63571i | 0.273908i | ||||||||
\(995\) | 20.8855 | − | 2.37360i | 0.662115 | − | 0.0752483i | ||||
\(996\) | −18.5428 | + | 18.6765i | −0.587552 | + | 0.591789i | ||||
\(997\) | −23.3279 | − | 23.3279i | −0.738803 | − | 0.738803i | 0.233543 | − | 0.972346i | \(-0.424968\pi\) |
−0.972346 | + | 0.233543i | \(0.924968\pi\) | |||||||
\(998\) | 46.8108 | + | 46.8108i | 1.48177 | + | 1.48177i | ||||
\(999\) | 27.6779 | + | 27.0877i | 0.875691 | + | 0.857016i |
(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 | 105.2.j.a.92.11 | yes | 24 | |
3.2 | odd | 2 | inner | 105.2.j.a.92.2 | yes | 24 | |
5.2 | odd | 4 | 525.2.j.b.218.11 | 24 | |||
5.3 | odd | 4 | inner | 105.2.j.a.8.2 | ✓ | 24 | |
5.4 | even | 2 | 525.2.j.b.407.2 | 24 | |||
7.2 | even | 3 | 735.2.y.j.557.2 | 48 | |||
7.3 | odd | 6 | 735.2.y.g.422.11 | 48 | |||
7.4 | even | 3 | 735.2.y.j.422.11 | 48 | |||
7.5 | odd | 6 | 735.2.y.g.557.2 | 48 | |||
7.6 | odd | 2 | 735.2.j.h.197.11 | 24 | |||
15.2 | even | 4 | 525.2.j.b.218.2 | 24 | |||
15.8 | even | 4 | inner | 105.2.j.a.8.11 | yes | 24 | |
15.14 | odd | 2 | 525.2.j.b.407.11 | 24 | |||
21.2 | odd | 6 | 735.2.y.j.557.11 | 48 | |||
21.5 | even | 6 | 735.2.y.g.557.11 | 48 | |||
21.11 | odd | 6 | 735.2.y.j.422.2 | 48 | |||
21.17 | even | 6 | 735.2.y.g.422.2 | 48 | |||
21.20 | even | 2 | 735.2.j.h.197.2 | 24 | |||
35.3 | even | 12 | 735.2.y.g.128.11 | 48 | |||
35.13 | even | 4 | 735.2.j.h.638.2 | 24 | |||
35.18 | odd | 12 | 735.2.y.j.128.11 | 48 | |||
35.23 | odd | 12 | 735.2.y.j.263.2 | 48 | |||
35.33 | even | 12 | 735.2.y.g.263.2 | 48 | |||
105.23 | even | 12 | 735.2.y.j.263.11 | 48 | |||
105.38 | odd | 12 | 735.2.y.g.128.2 | 48 | |||
105.53 | even | 12 | 735.2.y.j.128.2 | 48 | |||
105.68 | odd | 12 | 735.2.y.g.263.11 | 48 | |||
105.83 | odd | 4 | 735.2.j.h.638.11 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.j.a.8.2 | ✓ | 24 | 5.3 | odd | 4 | inner | |
105.2.j.a.8.11 | yes | 24 | 15.8 | even | 4 | inner | |
105.2.j.a.92.2 | yes | 24 | 3.2 | odd | 2 | inner | |
105.2.j.a.92.11 | yes | 24 | 1.1 | even | 1 | trivial | |
525.2.j.b.218.2 | 24 | 15.2 | even | 4 | |||
525.2.j.b.218.11 | 24 | 5.2 | odd | 4 | |||
525.2.j.b.407.2 | 24 | 5.4 | even | 2 | |||
525.2.j.b.407.11 | 24 | 15.14 | odd | 2 | |||
735.2.j.h.197.2 | 24 | 21.20 | even | 2 | |||
735.2.j.h.197.11 | 24 | 7.6 | odd | 2 | |||
735.2.j.h.638.2 | 24 | 35.13 | even | 4 | |||
735.2.j.h.638.11 | 24 | 105.83 | odd | 4 | |||
735.2.y.g.128.2 | 48 | 105.38 | odd | 12 | |||
735.2.y.g.128.11 | 48 | 35.3 | even | 12 | |||
735.2.y.g.263.2 | 48 | 35.33 | even | 12 | |||
735.2.y.g.263.11 | 48 | 105.68 | odd | 12 | |||
735.2.y.g.422.2 | 48 | 21.17 | even | 6 | |||
735.2.y.g.422.11 | 48 | 7.3 | odd | 6 | |||
735.2.y.g.557.2 | 48 | 7.5 | odd | 6 | |||
735.2.y.g.557.11 | 48 | 21.5 | even | 6 | |||
735.2.y.j.128.2 | 48 | 105.53 | even | 12 | |||
735.2.y.j.128.11 | 48 | 35.18 | odd | 12 | |||
735.2.y.j.263.2 | 48 | 35.23 | odd | 12 | |||
735.2.y.j.263.11 | 48 | 105.23 | even | 12 | |||
735.2.y.j.422.2 | 48 | 21.11 | odd | 6 | |||
735.2.y.j.422.11 | 48 | 7.4 | even | 3 | |||
735.2.y.j.557.2 | 48 | 7.2 | even | 3 | |||
735.2.y.j.557.11 | 48 | 21.2 | odd | 6 |