Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [56,3,Mod(5,56)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(56, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("56.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 56 = 2^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 56.j (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: | \(1.52588948042\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 45.4 | ||
Character | \(\chi\) | \(=\) | 56.45 |
Dual form | 56.3.j.a.5.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/56\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(29\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61426 | − | 1.18075i | −0.807129 | − | 0.590375i | ||||
\(3\) | −0.455431 | + | 0.788830i | −0.151810 | + | 0.262943i | −0.931893 | − | 0.362733i | \(-0.881844\pi\) |
0.780083 | + | 0.625677i | \(0.215177\pi\) | |||||||
\(4\) | 1.21166 | + | 3.81207i | 0.302914 | + | 0.953018i | ||||
\(5\) | 3.17251 | + | 5.49495i | 0.634503 | + | 1.09899i | 0.986620 | + | 0.163035i | \(0.0521283\pi\) |
−0.352118 | + | 0.935956i | \(0.614538\pi\) | |||||||
\(6\) | 1.66660 | − | 0.735624i | 0.277766 | − | 0.122604i | ||||
\(7\) | 3.79106 | − | 5.88455i | 0.541579 | − | 0.840650i | ||||
\(8\) | 2.54518 | − | 7.58433i | 0.318148 | − | 0.948041i | ||||
\(9\) | 4.08516 | + | 7.07571i | 0.453907 | + | 0.786190i | ||||
\(10\) | 1.36692 | − | 12.6162i | 0.136692 | − | 1.26162i | ||||
\(11\) | 11.4442 | + | 6.60732i | 1.04038 | + | 0.600666i | 0.919942 | − | 0.392054i | \(-0.128236\pi\) |
0.120442 | + | 0.992720i | \(0.461569\pi\) | |||||||
\(12\) | −3.55890 | − | 0.780346i | −0.296575 | − | 0.0650289i | ||||
\(13\) | −19.4243 | −1.49418 | −0.747090 | − | 0.664723i | \(-0.768550\pi\) | ||||
−0.747090 | + | 0.664723i | \(0.768550\pi\) | |||||||
\(14\) | −13.0679 | + | 5.02288i | −0.933423 | + | 0.358777i | ||||
\(15\) | −5.77945 | −0.385296 | ||||||||
\(16\) | −13.0638 | + | 9.23784i | −0.816486 | + | 0.577365i | ||||
\(17\) | 13.7930 | + | 7.96338i | 0.811352 | + | 0.468434i | 0.847425 | − | 0.530915i | \(-0.178152\pi\) |
−0.0360732 | + | 0.999349i | \(0.511485\pi\) | |||||||
\(18\) | 1.76014 | − | 16.2456i | 0.0977858 | − | 0.902532i | ||||
\(19\) | −8.22725 | − | 14.2500i | −0.433013 | − | 0.750001i | 0.564118 | − | 0.825694i | \(-0.309216\pi\) |
−0.997131 | + | 0.0756934i | \(0.975883\pi\) | |||||||
\(20\) | −17.1032 | + | 18.7518i | −0.855158 | + | 0.937592i | ||||
\(21\) | 2.91534 | + | 5.67051i | 0.138826 | + | 0.270024i | ||||
\(22\) | −10.6723 | − | 24.1787i | −0.485105 | − | 1.09903i | ||||
\(23\) | −11.9607 | − | 20.7166i | −0.520032 | − | 0.900721i | −0.999729 | − | 0.0232870i | \(-0.992587\pi\) |
0.479697 | − | 0.877434i | \(-0.340746\pi\) | |||||||
\(24\) | 4.82359 | + | 5.46186i | 0.200983 | + | 0.227577i | ||||
\(25\) | −7.62967 | + | 13.2150i | −0.305187 | + | 0.528599i | ||||
\(26\) | 31.3559 | + | 22.9353i | 1.20600 | + | 0.882127i | ||||
\(27\) | −15.6398 | −0.579252 | ||||||||
\(28\) | 27.0258 | + | 7.32173i | 0.965206 | + | 0.261490i | ||||
\(29\) | − | 16.6618i | − | 0.574544i | −0.957849 | − | 0.287272i | \(-0.907252\pi\) | ||
0.957849 | − | 0.287272i | \(-0.0927483\pi\) | |||||||
\(30\) | 9.32952 | + | 6.82409i | 0.310984 | + | 0.227470i | ||||
\(31\) | −11.1360 | − | 6.42939i | −0.359227 | − | 0.207400i | 0.309515 | − | 0.950895i | \(-0.399833\pi\) |
−0.668741 | + | 0.743495i | \(0.733167\pi\) | |||||||
\(32\) | 31.9959 | + | 0.512817i | 0.999872 | + | 0.0160255i | ||||
\(33\) | −10.4241 | + | 6.01837i | −0.315882 | + | 0.182375i | ||||
\(34\) | −12.8627 | − | 29.1410i | −0.378314 | − | 0.857089i | ||||
\(35\) | 44.3625 | + | 2.16288i | 1.26750 | + | 0.0617964i | ||||
\(36\) | −22.0233 | + | 24.1463i | −0.611759 | + | 0.670730i | ||||
\(37\) | 41.1844 | − | 23.7778i | 1.11309 | − | 0.642644i | 0.173463 | − | 0.984840i | \(-0.444504\pi\) |
0.939628 | + | 0.342196i | \(0.111171\pi\) | |||||||
\(38\) | −3.54481 | + | 32.7175i | −0.0932845 | + | 0.860987i | ||||
\(39\) | 8.84646 | − | 15.3225i | 0.226832 | − | 0.392885i | ||||
\(40\) | 49.7502 | − | 10.0757i | 1.24375 | − | 0.251893i | ||||
\(41\) | 6.49499i | 0.158415i | 0.996858 | + | 0.0792073i | \(0.0252389\pi\) | ||||
−0.996858 | + | 0.0792073i | \(0.974761\pi\) | |||||||
\(42\) | 1.98934 | − | 12.5960i | 0.0473652 | − | 0.299904i | ||||
\(43\) | − | 33.2928i | − | 0.774252i | −0.922027 | − | 0.387126i | \(-0.873468\pi\) | ||
0.922027 | − | 0.387126i | \(-0.126532\pi\) | |||||||
\(44\) | −11.3211 | + | 51.6320i | −0.257299 | + | 1.17345i | ||||
\(45\) | −25.9205 | + | 44.8956i | −0.576010 | + | 0.997679i | ||||
\(46\) | −5.15343 | + | 47.5645i | −0.112031 | + | 1.03401i | ||||
\(47\) | −18.9713 | + | 10.9531i | −0.403645 | + | 0.233045i | −0.688056 | − | 0.725658i | \(-0.741535\pi\) |
0.284411 | + | 0.958703i | \(0.408202\pi\) | |||||||
\(48\) | −1.33743 | − | 14.5123i | −0.0278631 | − | 0.302340i | ||||
\(49\) | −20.2558 | − | 44.6173i | −0.413383 | − | 0.910557i | ||||
\(50\) | 27.9198 | − | 12.3236i | 0.558397 | − | 0.246473i | ||||
\(51\) | −12.5635 | + | 7.25355i | −0.246343 | + | 0.142226i | ||||
\(52\) | −23.5356 | − | 74.0470i | −0.452608 | − | 1.42398i | ||||
\(53\) | −32.2028 | − | 18.5923i | −0.607601 | − | 0.350798i | 0.164425 | − | 0.986390i | \(-0.447423\pi\) |
−0.772026 | + | 0.635591i | \(0.780756\pi\) | |||||||
\(54\) | 25.2467 | + | 18.4667i | 0.467531 | + | 0.341976i | ||||
\(55\) | 83.8473i | 1.52450i | ||||||||
\(56\) | −34.9814 | − | 43.7299i | −0.624668 | − | 0.780890i | ||||
\(57\) | 14.9878 | 0.262944 | ||||||||
\(58\) | −19.6734 | + | 26.8964i | −0.339196 | + | 0.463731i | ||||
\(59\) | −27.3428 | + | 47.3591i | −0.463437 | + | 0.802696i | −0.999129 | − | 0.0417169i | \(-0.986717\pi\) |
0.535693 | + | 0.844413i | \(0.320051\pi\) | |||||||
\(60\) | −7.00270 | − | 22.0317i | −0.116712 | − | 0.367194i | ||||
\(61\) | −5.12340 | − | 8.87399i | −0.0839902 | − | 0.145475i | 0.820970 | − | 0.570971i | \(-0.193433\pi\) |
−0.904960 | + | 0.425496i | \(0.860100\pi\) | |||||||
\(62\) | 10.3849 | + | 23.5276i | 0.167499 | + | 0.379477i | ||||
\(63\) | 57.1245 | + | 2.78508i | 0.906737 | + | 0.0442076i | ||||
\(64\) | −51.0441 | − | 38.6070i | −0.797564 | − | 0.603234i | ||||
\(65\) | −61.6240 | − | 106.736i | −0.948061 | − | 1.64209i | ||||
\(66\) | 23.9334 | + | 2.59309i | 0.362627 | + | 0.0392892i | ||||
\(67\) | −14.8386 | − | 8.56706i | −0.221471 | − | 0.127867i | 0.385160 | − | 0.922850i | \(-0.374146\pi\) |
−0.606631 | + | 0.794983i | \(0.707480\pi\) | |||||||
\(68\) | −13.6446 | + | 62.2287i | −0.200656 | + | 0.915128i | ||||
\(69\) | 21.7892 | 0.315785 | ||||||||
\(70\) | −69.0587 | − | 55.8725i | −0.986552 | − | 0.798178i | ||||
\(71\) | 32.0568 | 0.451505 | 0.225752 | − | 0.974185i | \(-0.427516\pi\) | ||||
0.225752 | + | 0.974185i | \(0.427516\pi\) | |||||||
\(72\) | 64.0620 | − | 12.9743i | 0.889750 | − | 0.180198i | ||||
\(73\) | 92.8082 | + | 53.5828i | 1.27135 | + | 0.734011i | 0.975241 | − | 0.221144i | \(-0.0709792\pi\) |
0.296104 | + | 0.955156i | \(0.404313\pi\) | |||||||
\(74\) | −94.5579 | − | 10.2450i | −1.27781 | − | 0.138446i | ||||
\(75\) | −6.94958 | − | 12.0370i | −0.0926611 | − | 0.160494i | ||||
\(76\) | 44.3535 | − | 48.6290i | 0.583598 | − | 0.639855i | ||||
\(77\) | 82.2668 | − | 42.2953i | 1.06840 | − | 0.549290i | ||||
\(78\) | −32.3725 | + | 14.2890i | −0.415032 | + | 0.183193i | ||||
\(79\) | 29.1542 | + | 50.4965i | 0.369040 | + | 0.639196i | 0.989416 | − | 0.145109i | \(-0.0463532\pi\) |
−0.620376 | + | 0.784305i | \(0.713020\pi\) | |||||||
\(80\) | −92.2065 | − | 42.4777i | −1.15258 | − | 0.530971i | ||||
\(81\) | −29.6436 | + | 51.3443i | −0.365971 | + | 0.633880i | ||||
\(82\) | 7.66897 | − | 10.4846i | 0.0935240 | − | 0.127861i | ||||
\(83\) | −36.3441 | −0.437880 | −0.218940 | − | 0.975738i | \(-0.570260\pi\) | ||||
−0.218940 | + | 0.975738i | \(0.570260\pi\) | |||||||
\(84\) | −18.0840 | + | 17.9842i | −0.215286 | + | 0.214098i | ||||
\(85\) | 101.056i | 1.18889i | ||||||||
\(86\) | −39.3105 | + | 53.7432i | −0.457099 | + | 0.624921i | ||||
\(87\) | 13.1433 | + | 7.58829i | 0.151072 | + | 0.0872217i | ||||
\(88\) | 79.2397 | − | 69.9799i | 0.900452 | − | 0.795226i | ||||
\(89\) | 0.929882 | − | 0.536867i | 0.0104481 | − | 0.00603222i | −0.494767 | − | 0.869026i | \(-0.664747\pi\) |
0.505215 | + | 0.862994i | \(0.331413\pi\) | |||||||
\(90\) | 94.8528 | − | 41.8674i | 1.05392 | − | 0.465193i | ||||
\(91\) | −73.6388 | + | 114.303i | −0.809217 | + | 1.25608i | ||||
\(92\) | 64.4808 | − | 70.6965i | 0.700878 | − | 0.768440i | ||||
\(93\) | 10.1434 | − | 5.85629i | 0.109069 | − | 0.0629709i | ||||
\(94\) | 43.5575 | + | 4.71928i | 0.463377 | + | 0.0502051i | ||||
\(95\) | 52.2021 | − | 90.4167i | 0.549496 | − | 0.951755i | ||||
\(96\) | −14.9765 | + | 25.0058i | −0.156005 | + | 0.260477i | ||||
\(97\) | − | 169.517i | − | 1.74760i | −0.486286 | − | 0.873799i | \(-0.661649\pi\) | ||
0.486286 | − | 0.873799i | \(-0.338351\pi\) | |||||||
\(98\) | −19.9838 | + | 95.9408i | −0.203917 | + | 0.978988i | ||||
\(99\) | 107.968i | 1.09059i | ||||||||
\(100\) | −59.6210 | − | 13.0728i | −0.596210 | − | 0.130728i | ||||
\(101\) | −14.0630 | + | 24.3579i | −0.139238 | + | 0.241167i | −0.927208 | − | 0.374546i | \(-0.877799\pi\) |
0.787971 | + | 0.615713i | \(0.211132\pi\) | |||||||
\(102\) | 28.8454 | + | 3.12528i | 0.282798 | + | 0.0306400i | ||||
\(103\) | −144.029 | + | 83.1551i | −1.39834 | + | 0.807331i | −0.994219 | − | 0.107374i | \(-0.965756\pi\) |
−0.404120 | + | 0.914706i | \(0.632422\pi\) | |||||||
\(104\) | −49.4385 | + | 147.321i | −0.475370 | + | 1.41654i | ||||
\(105\) | −21.9102 | + | 34.0094i | −0.208669 | + | 0.323899i | ||||
\(106\) | 30.0308 | + | 68.0363i | 0.283309 | + | 0.641852i | ||||
\(107\) | 171.112 | − | 98.7918i | 1.59918 | − | 0.923288i | 0.607536 | − | 0.794292i | \(-0.292158\pi\) |
0.991645 | − | 0.128996i | \(-0.0411753\pi\) | |||||||
\(108\) | −18.9501 | − | 59.6201i | −0.175464 | − | 0.552038i | ||||
\(109\) | 9.97643 | + | 5.75990i | 0.0915269 | + | 0.0528431i | 0.545065 | − | 0.838394i | \(-0.316505\pi\) |
−0.453538 | + | 0.891237i | \(0.649838\pi\) | |||||||
\(110\) | 99.0027 | − | 135.351i | 0.900025 | − | 1.23046i | ||||
\(111\) | 43.3167i | 0.390240i | ||||||||
\(112\) | 4.83497 | + | 111.896i | 0.0431693 | + | 0.999068i | ||||
\(113\) | −14.7908 | −0.130892 | −0.0654460 | − | 0.997856i | \(-0.520847\pi\) | ||||
−0.0654460 | + | 0.997856i | \(0.520847\pi\) | |||||||
\(114\) | −24.1942 | − | 17.6968i | −0.212229 | − | 0.155235i | ||||
\(115\) | 75.8911 | − | 131.447i | 0.659923 | − | 1.14302i | ||||
\(116\) | 63.5158 | − | 20.1883i | 0.547550 | − | 0.174037i | ||||
\(117\) | −79.3516 | − | 137.441i | −0.678219 | − | 1.17471i | ||||
\(118\) | 100.058 | − | 44.1648i | 0.847945 | − | 0.374278i | ||||
\(119\) | 99.1509 | − | 50.9758i | 0.833201 | − | 0.428368i | ||||
\(120\) | −14.7097 | + | 43.8332i | −0.122581 | + | 0.365277i | ||||
\(121\) | 26.8135 | + | 46.4423i | 0.221599 | + | 0.383821i | ||||
\(122\) | −2.20748 | + | 20.3744i | −0.0180941 | + | 0.167003i | ||||
\(123\) | −5.12345 | − | 2.95802i | −0.0416541 | − | 0.0240490i | ||||
\(124\) | 11.0163 | − | 50.2415i | 0.0888408 | − | 0.405174i | ||||
\(125\) | 61.8047 | 0.494438 | ||||||||
\(126\) | −88.9251 | − | 71.9456i | −0.705755 | − | 0.570997i | ||||
\(127\) | −70.2656 | −0.553272 | −0.276636 | − | 0.960975i | \(-0.589220\pi\) | ||||
−0.276636 | + | 0.960975i | \(0.589220\pi\) | |||||||
\(128\) | 36.8131 | + | 122.592i | 0.287602 | + | 0.957750i | ||||
\(129\) | 26.2624 | + | 15.1626i | 0.203584 | + | 0.117540i | ||||
\(130\) | −26.5515 | + | 245.062i | −0.204242 | + | 1.88509i | ||||
\(131\) | −71.0646 | − | 123.088i | −0.542478 | − | 0.939600i | −0.998761 | − | 0.0497649i | \(-0.984153\pi\) |
0.456283 | − | 0.889835i | \(-0.349181\pi\) | |||||||
\(132\) | −35.5729 | − | 32.4453i | −0.269492 | − | 0.245798i | ||||
\(133\) | −115.045 | − | 5.60897i | −0.864999 | − | 0.0421727i | ||||
\(134\) | 13.8377 | + | 31.3501i | 0.103267 | + | 0.233956i | ||||
\(135\) | −49.6175 | − | 85.9400i | −0.367537 | − | 0.636593i | ||||
\(136\) | 95.5026 | − | 84.3423i | 0.702225 | − | 0.620164i | ||||
\(137\) | −126.537 | + | 219.168i | −0.923626 | + | 1.59977i | −0.129870 | + | 0.991531i | \(0.541456\pi\) |
−0.793756 | + | 0.608236i | \(0.791877\pi\) | |||||||
\(138\) | −35.1733 | − | 25.7276i | −0.254879 | − | 0.186432i | ||||
\(139\) | −49.1909 | −0.353892 | −0.176946 | − | 0.984221i | \(-0.556622\pi\) | ||||
−0.176946 | + | 0.984221i | \(0.556622\pi\) | |||||||
\(140\) | 45.5070 | + | 171.734i | 0.325050 | + | 1.22667i | ||||
\(141\) | − | 19.9535i | − | 0.141514i | ||||||
\(142\) | −51.7480 | − | 37.8511i | −0.364423 | − | 0.266557i | ||||
\(143\) | −222.296 | − | 128.343i | −1.55452 | − | 0.897503i | ||||
\(144\) | −118.732 | − | 54.6975i | −0.824528 | − | 0.379844i | ||||
\(145\) | 91.5556 | − | 52.8597i | 0.631418 | − | 0.364549i | ||||
\(146\) | −86.5484 | − | 196.080i | −0.592797 | − | 1.34301i | ||||
\(147\) | 44.4206 | + | 4.34174i | 0.302181 | + | 0.0295356i | ||||
\(148\) | 140.544 | + | 128.187i | 0.949622 | + | 0.866131i | ||||
\(149\) | −36.1077 | + | 20.8468i | −0.242334 | + | 0.139911i | −0.616249 | − | 0.787551i | \(-0.711348\pi\) |
0.373915 | + | 0.927463i | \(0.378015\pi\) | |||||||
\(150\) | −2.99431 | + | 27.6366i | −0.0199621 | + | 0.184244i | ||||
\(151\) | 48.8145 | − | 84.5492i | 0.323275 | − | 0.559928i | −0.657887 | − | 0.753117i | \(-0.728550\pi\) |
0.981162 | + | 0.193188i | \(0.0618829\pi\) | |||||||
\(152\) | −129.017 | + | 26.1293i | −0.848794 | + | 0.171903i | ||||
\(153\) | 130.127i | 0.850503i | ||||||||
\(154\) | −182.740 | − | 28.8610i | −1.18662 | − | 0.187409i | ||||
\(155\) | − | 81.5892i | − | 0.526382i | ||||||
\(156\) | 69.1294 | + | 15.1577i | 0.443137 | + | 0.0971648i | ||||
\(157\) | −14.0827 | + | 24.3919i | −0.0896986 | + | 0.155363i | −0.907384 | − | 0.420303i | \(-0.861924\pi\) |
0.817685 | + | 0.575666i | \(0.195257\pi\) | |||||||
\(158\) | 12.5614 | − | 115.938i | 0.0795027 | − | 0.733786i | ||||
\(159\) | 29.3324 | − | 16.9350i | 0.184480 | − | 0.106510i | ||||
\(160\) | 98.6895 | + | 177.443i | 0.616809 | + | 1.10902i | ||||
\(161\) | −167.251 | − | 8.15428i | −1.03883 | − | 0.0506477i | ||||
\(162\) | 108.477 | − | 47.8811i | 0.669612 | − | 0.295563i | ||||
\(163\) | −209.952 | + | 121.216i | −1.28805 | + | 0.743655i | −0.978306 | − | 0.207165i | \(-0.933576\pi\) |
−0.309743 | + | 0.950820i | \(0.600243\pi\) | |||||||
\(164\) | −24.7594 | + | 7.86970i | −0.150972 | + | 0.0479860i | ||||
\(165\) | −66.1413 | − | 38.1867i | −0.400856 | − | 0.231434i | ||||
\(166\) | 58.6687 | + | 42.9133i | 0.353426 | + | 0.258514i | ||||
\(167\) | − | 60.1108i | − | 0.359945i | −0.983672 | − | 0.179972i | \(-0.942399\pi\) | ||
0.983672 | − | 0.179972i | \(-0.0576008\pi\) | |||||||
\(168\) | 50.4271 | − | 7.67845i | 0.300161 | − | 0.0457051i | ||||
\(169\) | 208.305 | 1.23257 | ||||||||
\(170\) | 119.322 | − | 163.130i | 0.701892 | − | 0.959588i | ||||
\(171\) | 67.2193 | − | 116.427i | 0.393096 | − | 0.680861i | ||||
\(172\) | 126.915 | − | 40.3395i | 0.737876 | − | 0.234532i | ||||
\(173\) | 69.6820 | + | 120.693i | 0.402786 | + | 0.697646i | 0.994061 | − | 0.108824i | \(-0.0347085\pi\) |
−0.591275 | + | 0.806470i | \(0.701375\pi\) | |||||||
\(174\) | −12.2568 | − | 27.7684i | −0.0704414 | − | 0.159589i | ||||
\(175\) | 48.8397 | + | 94.9959i | 0.279084 | + | 0.542834i | ||||
\(176\) | −210.542 | + | 19.4032i | −1.19626 | + | 0.110246i | ||||
\(177\) | −24.9055 | − | 43.1376i | −0.140709 | − | 0.243715i | ||||
\(178\) | −2.13498 | − | 0.231316i | −0.0119942 | − | 0.00129953i | ||||
\(179\) | 252.643 | + | 145.863i | 1.41141 | + | 0.814879i | 0.995522 | − | 0.0945354i | \(-0.0301365\pi\) |
0.415891 | + | 0.909415i | \(0.363470\pi\) | |||||||
\(180\) | −202.552 | − | 44.4127i | −1.12529 | − | 0.246737i | ||||
\(181\) | 166.844 | 0.921791 | 0.460895 | − | 0.887455i | \(-0.347528\pi\) | ||||
0.460895 | + | 0.887455i | \(0.347528\pi\) | |||||||
\(182\) | 253.836 | − | 97.5662i | 1.39470 | − | 0.536078i | ||||
\(183\) | 9.33343 | 0.0510024 | ||||||||
\(184\) | −187.564 | + | 37.9866i | −1.01937 | + | 0.206449i | ||||
\(185\) | 261.316 | + | 150.871i | 1.41252 | + | 0.815518i | ||||
\(186\) | −23.2889 | − | 2.52325i | −0.125209 | − | 0.0135659i | ||||
\(187\) | 105.233 | + | 182.269i | 0.562745 | + | 0.974703i | ||||
\(188\) | −64.7407 | − | 59.0486i | −0.344365 | − | 0.314088i | ||||
\(189\) | −59.2914 | + | 92.0332i | −0.313711 | + | 0.486948i | ||||
\(190\) | −191.027 | + | 84.3182i | −1.00541 | + | 0.443780i | ||||
\(191\) | 65.6781 | + | 113.758i | 0.343864 | + | 0.595590i | 0.985147 | − | 0.171715i | \(-0.0549307\pi\) |
−0.641283 | + | 0.767305i | \(0.721597\pi\) | |||||||
\(192\) | 53.7014 | − | 22.6823i | 0.279695 | − | 0.118137i | ||||
\(193\) | 40.7196 | − | 70.5284i | 0.210982 | − | 0.365432i | −0.741040 | − | 0.671461i | \(-0.765667\pi\) |
0.952022 | + | 0.306029i | \(0.0990004\pi\) | |||||||
\(194\) | −200.157 | + | 273.644i | −1.03174 | + | 1.41054i | ||||
\(195\) | 112.262 | 0.575702 | ||||||||
\(196\) | 145.541 | − | 131.277i | 0.742558 | − | 0.669782i | ||||
\(197\) | − | 2.09549i | − | 0.0106370i | −0.999986 | − | 0.00531851i | \(-0.998307\pi\) | ||
0.999986 | − | 0.00531851i | \(-0.00169294\pi\) | |||||||
\(198\) | 127.483 | − | 174.288i | 0.643855 | − | 0.880244i | ||||
\(199\) | −109.937 | − | 63.4721i | −0.552447 | − | 0.318955i | 0.197662 | − | 0.980270i | \(-0.436665\pi\) |
−0.750108 | + | 0.661315i | \(0.769999\pi\) | |||||||
\(200\) | 80.8079 | + | 91.5005i | 0.404039 | + | 0.457502i | ||||
\(201\) | 13.5159 | − | 7.80341i | 0.0672433 | − | 0.0388230i | ||||
\(202\) | 51.4619 | − | 22.7149i | 0.254762 | − | 0.112450i | ||||
\(203\) | −98.0469 | − | 63.1657i | −0.482990 | − | 0.311161i | ||||
\(204\) | −42.8737 | − | 39.1042i | −0.210165 | − | 0.191687i | ||||
\(205\) | −35.6897 | + | 20.6055i | −0.174096 | + | 0.100514i | ||||
\(206\) | 330.685 | + | 35.8284i | 1.60527 | + | 0.173924i | ||||
\(207\) | 97.7231 | − | 169.261i | 0.472092 | − | 0.817687i | ||||
\(208\) | 253.755 | − | 179.439i | 1.21998 | − | 0.862687i | ||||
\(209\) | − | 217.440i | − | 1.04038i | ||||||
\(210\) | 75.5254 | − | 29.0295i | 0.359645 | − | 0.138236i | ||||
\(211\) | 7.16822i | 0.0339726i | 0.999856 | + | 0.0169863i | \(0.00540717\pi\) | ||||
−0.999856 | + | 0.0169863i | \(0.994593\pi\) | |||||||
\(212\) | 31.8565 | − | 145.287i | 0.150266 | − | 0.685316i | ||||
\(213\) | −14.5997 | + | 25.2874i | −0.0685432 | + | 0.118720i | ||||
\(214\) | −392.868 | − | 42.5657i | −1.83583 | − | 0.198905i | ||||
\(215\) | 182.943 | − | 105.622i | 0.850896 | − | 0.491265i | ||||
\(216\) | −39.8062 | + | 118.617i | −0.184288 | + | 0.549155i | ||||
\(217\) | −80.0513 | + | 41.1563i | −0.368900 | + | 0.189660i | ||||
\(218\) | −9.30353 | − | 21.0776i | −0.0426768 | − | 0.0966864i | ||||
\(219\) | −84.5355 | + | 48.8066i | −0.386007 | + | 0.222861i | ||||
\(220\) | −319.632 | + | 101.594i | −1.45287 | + | 0.461791i | ||||
\(221\) | −267.920 | − | 154.683i | −1.21231 | − | 0.699925i | ||||
\(222\) | 51.1462 | − | 69.9243i | 0.230388 | − | 0.314974i | ||||
\(223\) | 279.720i | 1.25435i | 0.778878 | + | 0.627175i | \(0.215789\pi\) | ||||
−0.778878 | + | 0.627175i | \(0.784211\pi\) | |||||||
\(224\) | 124.316 | − | 186.337i | 0.554982 | − | 0.831863i | ||||
\(225\) | −124.674 | −0.554106 | ||||||||
\(226\) | 23.8762 | + | 17.4642i | 0.105647 | + | 0.0772754i | ||||
\(227\) | −152.392 | + | 263.950i | −0.671330 | + | 1.16278i | 0.306198 | + | 0.951968i | \(0.400943\pi\) |
−0.977527 | + | 0.210809i | \(0.932390\pi\) | |||||||
\(228\) | 18.1600 | + | 57.1345i | 0.0796493 | + | 0.250590i | ||||
\(229\) | 207.344 | + | 359.130i | 0.905433 | + | 1.56826i | 0.820335 | + | 0.571883i | \(0.193787\pi\) |
0.0850971 | + | 0.996373i | \(0.472880\pi\) | |||||||
\(230\) | −277.714 | + | 122.581i | −1.20745 | + | 0.532962i | ||||
\(231\) | −4.10305 | + | 84.1572i | −0.0177621 | + | 0.364317i | ||||
\(232\) | −126.368 | − | 42.4072i | −0.544691 | − | 0.182790i | ||||
\(233\) | 82.4628 | + | 142.830i | 0.353918 | + | 0.613004i | 0.986932 | − | 0.161136i | \(-0.0515159\pi\) |
−0.633014 | + | 0.774140i | \(0.718183\pi\) | |||||||
\(234\) | −34.1896 | + | 315.560i | −0.146110 | + | 1.34855i | ||||
\(235\) | −120.373 | − | 69.4976i | −0.512227 | − | 0.295735i | ||||
\(236\) | −213.666 | − | 46.8497i | −0.905365 | − | 0.198516i | ||||
\(237\) | −53.1109 | −0.224097 | ||||||||
\(238\) | −220.245 | − | 34.7843i | −0.925398 | − | 0.146153i | ||||
\(239\) | −19.1182 | −0.0799926 | −0.0399963 | − | 0.999200i | \(-0.512735\pi\) | ||||
−0.0399963 | + | 0.999200i | \(0.512735\pi\) | |||||||
\(240\) | 75.5014 | − | 53.3896i | 0.314589 | − | 0.222457i | ||||
\(241\) | −303.376 | − | 175.154i | −1.25882 | − | 0.726780i | −0.285975 | − | 0.958237i | \(-0.592317\pi\) |
−0.972845 | + | 0.231457i | \(0.925651\pi\) | |||||||
\(242\) | 11.5529 | − | 106.630i | 0.0477393 | − | 0.440619i | ||||
\(243\) | −97.3804 | − | 168.668i | −0.400743 | − | 0.694106i | ||||
\(244\) | 27.6205 | − | 30.2830i | 0.113199 | − | 0.124111i | ||||
\(245\) | 180.908 | − | 252.854i | 0.738401 | − | 1.03206i | ||||
\(246\) | 4.77788 | + | 10.8245i | 0.0194223 | + | 0.0440022i | ||||
\(247\) | 159.809 | + | 276.797i | 0.647000 | + | 1.12064i | ||||
\(248\) | −77.1058 | + | 68.0953i | −0.310910 | + | 0.274578i | ||||
\(249\) | 16.5522 | − | 28.6693i | 0.0664748 | − | 0.115138i | ||||
\(250\) | −99.7687 | − | 72.9760i | −0.399075 | − | 0.291904i | ||||
\(251\) | −88.3204 | −0.351874 | −0.175937 | − | 0.984401i | \(-0.556296\pi\) | ||||
−0.175937 | + | 0.984401i | \(0.556296\pi\) | |||||||
\(252\) | 58.5982 | + | 221.137i | 0.232533 | + | 0.877528i | ||||
\(253\) | − | 316.114i | − | 1.24946i | ||||||
\(254\) | 113.427 | + | 82.9661i | 0.446562 | + | 0.326638i | ||||
\(255\) | −79.7158 | − | 46.0240i | −0.312611 | − | 0.180486i | ||||
\(256\) | 85.3247 | − | 241.362i | 0.333300 | − | 0.942821i | ||||
\(257\) | 74.5499 | − | 43.0414i | 0.290077 | − | 0.167476i | −0.347899 | − | 0.937532i | \(-0.613105\pi\) |
0.637977 | + | 0.770056i | \(0.279772\pi\) | |||||||
\(258\) | −24.4910 | − | 55.4857i | −0.0949265 | − | 0.215061i | ||||
\(259\) | 16.2106 | − | 332.495i | 0.0625893 | − | 1.28376i | ||||
\(260\) | 332.218 | − | 364.242i | 1.27776 | − | 1.40093i | ||||
\(261\) | 117.894 | − | 68.0661i | 0.451701 | − | 0.260789i | ||||
\(262\) | −30.6191 | + | 282.605i | −0.116867 | + | 1.07864i | ||||
\(263\) | −159.605 | + | 276.444i | −0.606863 | + | 1.05112i | 0.384891 | + | 0.922962i | \(0.374239\pi\) |
−0.991754 | + | 0.128156i | \(0.959094\pi\) | |||||||
\(264\) | 19.1140 | + | 94.3778i | 0.0724015 | + | 0.357492i | ||||
\(265\) | − | 235.937i | − | 0.890330i | ||||||
\(266\) | 179.089 | + | 144.894i | 0.673268 | + | 0.544713i | ||||
\(267\) | 0.978025i | 0.00366302i | ||||||||
\(268\) | 14.6790 | − | 66.9461i | 0.0547723 | − | 0.249799i | ||||
\(269\) | 28.7340 | − | 49.7687i | 0.106818 | − | 0.185014i | −0.807662 | − | 0.589646i | \(-0.799267\pi\) |
0.914479 | + | 0.404632i | \(0.132601\pi\) | |||||||
\(270\) | −21.3783 | + | 197.315i | −0.0791790 | + | 0.730797i | ||||
\(271\) | 26.7398 | − | 15.4382i | 0.0986709 | − | 0.0569677i | −0.449853 | − | 0.893103i | \(-0.648523\pi\) |
0.548523 | + | 0.836135i | \(0.315190\pi\) | |||||||
\(272\) | −253.753 | + | 23.3855i | −0.932915 | + | 0.0859759i | ||||
\(273\) | −56.6286 | − | 110.146i | −0.207431 | − | 0.403465i | ||||
\(274\) | 463.046 | − | 204.385i | 1.68995 | − | 0.745932i | ||||
\(275\) | −174.631 | + | 100.823i | −0.635023 | + | 0.366631i | ||||
\(276\) | 26.4010 | + | 83.0618i | 0.0956557 | + | 0.300949i | ||||
\(277\) | 308.465 | + | 178.092i | 1.11359 | + | 0.642933i | 0.939757 | − | 0.341842i | \(-0.111051\pi\) |
0.173834 | + | 0.984775i | \(0.444384\pi\) | |||||||
\(278\) | 79.4068 | + | 58.0822i | 0.285636 | + | 0.208929i | ||||
\(279\) | − | 105.060i | − | 0.376561i | ||||||
\(280\) | 129.315 | − | 330.955i | 0.461838 | − | 1.18198i | ||||
\(281\) | −294.160 | −1.04683 | −0.523416 | − | 0.852077i | \(-0.675343\pi\) | ||||
−0.523416 | + | 0.852077i | \(0.675343\pi\) | |||||||
\(282\) | −23.5601 | + | 32.2101i | −0.0835466 | + | 0.114220i | ||||
\(283\) | 207.501 | − | 359.402i | 0.733219 | − | 1.26997i | −0.222282 | − | 0.974982i | \(-0.571351\pi\) |
0.955501 | − | 0.294989i | \(-0.0953161\pi\) | |||||||
\(284\) | 38.8419 | + | 122.203i | 0.136767 | + | 0.430292i | ||||
\(285\) | 47.5490 | + | 82.3572i | 0.166838 | + | 0.288973i | ||||
\(286\) | 207.303 | + | 469.655i | 0.724835 | + | 1.64215i | ||||
\(287\) | 38.2201 | + | 24.6229i | 0.133171 | + | 0.0857940i | ||||
\(288\) | 127.080 | + | 228.489i | 0.441250 | + | 0.793363i | ||||
\(289\) | −17.6691 | − | 30.6037i | −0.0611386 | − | 0.105895i | ||||
\(290\) | −210.208 | − | 22.7752i | −0.724857 | − | 0.0785353i | ||||
\(291\) | 133.720 | + | 77.2034i | 0.459520 | + | 0.265304i | ||||
\(292\) | −91.8100 | + | 418.715i | −0.314418 | + | 1.43396i | ||||
\(293\) | −370.564 | −1.26472 | −0.632362 | − | 0.774673i | \(-0.717915\pi\) | ||||
−0.632362 | + | 0.774673i | \(0.717915\pi\) | |||||||
\(294\) | −66.5798 | − | 59.4583i | −0.226462 | − | 0.202239i | ||||
\(295\) | −346.981 | −1.17621 | ||||||||
\(296\) | −75.5171 | − | 372.875i | −0.255125 | − | 1.25971i | ||||
\(297\) | −178.986 | − | 103.337i | −0.602645 | − | 0.347937i | ||||
\(298\) | 82.9021 | + | 8.98210i | 0.278195 | + | 0.0301413i | ||||
\(299\) | 232.329 | + | 402.406i | 0.777021 | + | 1.34584i | ||||
\(300\) | 37.4655 | − | 41.0770i | 0.124885 | − | 0.136923i | ||||
\(301\) | −195.913 | − | 126.215i | −0.650875 | − | 0.419319i | ||||
\(302\) | −178.631 | + | 78.8464i | −0.591492 | + | 0.261081i | ||||
\(303\) | −12.8095 | − | 22.1867i | −0.0422755 | − | 0.0732233i | ||||
\(304\) | 239.118 | + | 110.157i | 0.786573 | + | 0.362359i | ||||
\(305\) | 32.5081 | − | 56.3057i | 0.106584 | − | 0.184609i | ||||
\(306\) | 153.647 | − | 210.058i | 0.502116 | − | 0.686465i | ||||
\(307\) | −160.327 | −0.522239 | −0.261120 | − | 0.965306i | \(-0.584092\pi\) | ||||
−0.261120 | + | 0.965306i | \(0.584092\pi\) | |||||||
\(308\) | 260.912 | + | 262.360i | 0.847116 | + | 0.851817i | ||||
\(309\) | − | 151.486i | − | 0.490245i | ||||||
\(310\) | −96.3366 | + | 131.706i | −0.310763 | + | 0.424858i | ||||
\(311\) | 409.490 | + | 236.419i | 1.31669 | + | 0.760191i | 0.983195 | − | 0.182561i | \(-0.0584387\pi\) |
0.333495 | + | 0.942752i | \(0.391772\pi\) | |||||||
\(312\) | −93.6951 | − | 106.093i | −0.300305 | − | 0.340042i | ||||
\(313\) | 200.063 | − | 115.506i | 0.639179 | − | 0.369030i | −0.145119 | − | 0.989414i | \(-0.546357\pi\) |
0.784298 | + | 0.620384i | \(0.213023\pi\) | |||||||
\(314\) | 51.5339 | − | 22.7467i | 0.164121 | − | 0.0724418i | ||||
\(315\) | 165.924 | + | 322.732i | 0.526743 | + | 1.02455i | ||||
\(316\) | −157.171 | + | 172.322i | −0.497378 | + | 0.545323i | ||||
\(317\) | −195.132 | + | 112.659i | −0.615557 | + | 0.355392i | −0.775137 | − | 0.631793i | \(-0.782319\pi\) |
0.159580 | + | 0.987185i | \(0.448986\pi\) | |||||||
\(318\) | −67.3461 | − | 7.29667i | −0.211780 | − | 0.0229455i | ||||
\(319\) | 110.090 | − | 190.681i | 0.345109 | − | 0.597746i | ||||
\(320\) | 50.2055 | − | 402.966i | 0.156892 | − | 1.25927i | ||||
\(321\) | 179.972i | 0.560659i | ||||||||
\(322\) | 260.359 | + | 210.645i | 0.808568 | + | 0.654178i | ||||
\(323\) | − | 262.067i | − | 0.811353i | ||||||
\(324\) | −231.646 | − | 50.7920i | −0.714956 | − | 0.156766i | ||||
\(325\) | 148.201 | − | 256.692i | 0.456004 | − | 0.789822i | ||||
\(326\) | 482.042 | + | 52.2273i | 1.47866 | + | 0.160207i | ||||
\(327\) | −9.08716 | + | 5.24648i | −0.0277895 | + | 0.0160443i | ||||
\(328\) | 49.2602 | + | 16.5309i | 0.150183 | + | 0.0503992i | ||||
\(329\) | −7.46732 | + | 153.161i | −0.0226970 | + | 0.465536i | ||||
\(330\) | 61.6801 | + | 139.740i | 0.186909 | + | 0.423453i | ||||
\(331\) | 17.9257 | − | 10.3494i | 0.0541561 | − | 0.0312671i | −0.472677 | − | 0.881236i | \(-0.656712\pi\) |
0.526834 | + | 0.849968i | \(0.323379\pi\) | |||||||
\(332\) | −44.0365 | − | 138.546i | −0.132640 | − | 0.417308i | ||||
\(333\) | 336.490 | + | 194.273i | 1.01048 | + | 0.583401i | ||||
\(334\) | −70.9758 | + | 97.0343i | −0.212503 | + | 0.290522i | ||||
\(335\) | − | 108.716i | − | 0.324527i | ||||||
\(336\) | −90.4686 | − | 47.1468i | −0.269252 | − | 0.140318i | ||||
\(337\) | 34.9645 | 0.103752 | 0.0518762 | − | 0.998654i | \(-0.483480\pi\) | ||||
0.0518762 | + | 0.998654i | \(0.483480\pi\) | |||||||
\(338\) | −336.258 | − | 245.956i | −0.994846 | − | 0.727682i | ||||
\(339\) | 6.73619 | − | 11.6674i | 0.0198708 | − | 0.0344172i | ||||
\(340\) | −385.232 | + | 122.445i | −1.13303 | + | 0.360132i | ||||
\(341\) | −84.9621 | − | 147.159i | −0.249156 | − | 0.431550i | ||||
\(342\) | −245.981 | + | 108.574i | −0.719243 | + | 0.317469i | ||||
\(343\) | −339.343 | − | 49.9505i | −0.989339 | − | 0.145628i | ||||
\(344\) | −252.504 | − | 84.7363i | −0.734023 | − | 0.246326i | ||||
\(345\) | 69.1264 | + | 119.730i | 0.200366 | + | 0.347045i | ||||
\(346\) | 30.0234 | − | 277.106i | 0.0867727 | − | 0.800886i | ||||
\(347\) | −379.958 | − | 219.369i | −1.09498 | − | 0.632188i | −0.160083 | − | 0.987104i | \(-0.551176\pi\) |
−0.934898 | + | 0.354916i | \(0.884509\pi\) | |||||||
\(348\) | −13.0019 | + | 59.2976i | −0.0373619 | + | 0.170395i | ||||
\(349\) | 435.121 | 1.24677 | 0.623383 | − | 0.781917i | \(-0.285758\pi\) | ||||
0.623383 | + | 0.781917i | \(0.285758\pi\) | |||||||
\(350\) | 33.3267 | − | 211.015i | 0.0952191 | − | 0.602901i | ||||
\(351\) | 303.793 | 0.865507 | ||||||||
\(352\) | 362.780 | + | 217.276i | 1.03062 | + | 0.617261i | ||||
\(353\) | 243.447 | + | 140.554i | 0.689653 | + | 0.398171i | 0.803482 | − | 0.595329i | \(-0.202978\pi\) |
−0.113829 | + | 0.993500i | \(0.536312\pi\) | |||||||
\(354\) | −10.7309 | + | 99.0424i | −0.0303131 | + | 0.279781i | ||||
\(355\) | 101.701 | + | 176.151i | 0.286481 | + | 0.496200i | ||||
\(356\) | 3.17327 | + | 2.89428i | 0.00891369 | + | 0.00812999i | ||||
\(357\) | −4.94514 | + | 101.429i | −0.0138519 | + | 0.284115i | ||||
\(358\) | −235.602 | − | 533.769i | −0.658107 | − | 1.49098i | ||||
\(359\) | −131.965 | − | 228.570i | −0.367590 | − | 0.636685i | 0.621598 | − | 0.783336i | \(-0.286484\pi\) |
−0.989188 | + | 0.146652i | \(0.953150\pi\) | |||||||
\(360\) | 274.531 | + | 310.857i | 0.762585 | + | 0.863491i | ||||
\(361\) | 45.1247 | − | 78.1583i | 0.124999 | − | 0.216505i | ||||
\(362\) | −269.329 | − | 197.001i | −0.744004 | − | 0.544202i | ||||
\(363\) | −48.8468 | −0.134564 | ||||||||
\(364\) | −524.958 | − | 142.220i | −1.44219 | − | 0.390714i | ||||
\(365\) | 679.969i | 1.86293i | ||||||||
\(366\) | −15.0666 | − | 11.0205i | −0.0411655 | − | 0.0301105i | ||||
\(367\) | −134.181 | − | 77.4694i | −0.365615 | − | 0.211088i | 0.305926 | − | 0.952055i | \(-0.401034\pi\) |
−0.671541 | + | 0.740967i | \(0.734367\pi\) | |||||||
\(368\) | 347.629 | + | 160.146i | 0.944643 | + | 0.435178i | ||||
\(369\) | −45.9567 | + | 26.5331i | −0.124544 | + | 0.0719055i | ||||
\(370\) | −243.691 | − | 552.094i | −0.658623 | − | 1.49214i | ||||
\(371\) | −231.490 | + | 119.015i | −0.623962 | + | 0.320794i | ||||
\(372\) | 34.6149 | + | 31.5715i | 0.0930508 | + | 0.0848697i | ||||
\(373\) | −506.505 | + | 292.431i | −1.35792 | + | 0.783997i | −0.989344 | − | 0.145600i | \(-0.953489\pi\) |
−0.368579 | + | 0.929597i | \(0.620155\pi\) | |||||||
\(374\) | 45.3411 | − | 418.484i | 0.121233 | − | 1.11894i | ||||
\(375\) | −28.1478 | + | 48.7534i | −0.0750608 | + | 0.130009i | ||||
\(376\) | 34.7864 | + | 171.762i | 0.0925171 | + | 0.456815i | ||||
\(377\) | 323.644i | 0.858472i | ||||||||
\(378\) | 204.380 | − | 78.5570i | 0.540688 | − | 0.207823i | ||||
\(379\) | − | 128.176i | − | 0.338195i | −0.985599 | − | 0.169098i | \(-0.945915\pi\) | ||
0.985599 | − | 0.169098i | \(-0.0540853\pi\) | |||||||
\(380\) | 407.926 | + | 89.4442i | 1.07349 | + | 0.235380i | ||||
\(381\) | 32.0011 | − | 55.4276i | 0.0839925 | − | 0.145479i | ||||
\(382\) | 28.2982 | − | 261.184i | 0.0740791 | − | 0.683727i | ||||
\(383\) | −216.437 | + | 124.960i | −0.565110 | + | 0.326266i | −0.755194 | − | 0.655502i | \(-0.772457\pi\) |
0.190084 | + | 0.981768i | \(0.439124\pi\) | |||||||
\(384\) | −113.470 | − | 26.7929i | −0.295495 | − | 0.0697733i | ||||
\(385\) | 493.403 | + | 317.870i | 1.28157 | + | 0.825636i | ||||
\(386\) | −149.008 | + | 65.7713i | −0.386032 | + | 0.170392i | ||||
\(387\) | 235.571 | − | 136.007i | 0.608709 | − | 0.351439i | ||||
\(388\) | 646.211 | − | 205.396i | 1.66549 | − | 0.529372i | ||||
\(389\) | −187.428 | − | 108.212i | −0.481821 | − | 0.278179i | 0.239354 | − | 0.970932i | \(-0.423064\pi\) |
−0.721175 | + | 0.692753i | \(0.756398\pi\) | |||||||
\(390\) | −181.220 | − | 132.553i | −0.464666 | − | 0.339880i | ||||
\(391\) | − | 380.991i | − | 0.974402i | ||||||
\(392\) | −389.947 | + | 40.0675i | −0.994763 | + | 0.102213i | ||||
\(393\) | 129.460 | 0.329415 | ||||||||
\(394\) | −2.47425 | + | 3.38266i | −0.00627983 | + | 0.00858544i | ||||
\(395\) | −184.984 | + | 320.401i | −0.468314 | + | 0.811143i | ||||
\(396\) | −411.582 | + | 130.820i | −1.03935 | + | 0.330354i | ||||
\(397\) | −349.941 | − | 606.116i | −0.881463 | − | 1.52674i | −0.849714 | − | 0.527244i | \(-0.823226\pi\) |
−0.0317493 | − | 0.999496i | \(-0.510108\pi\) | |||||||
\(398\) | 102.522 | + | 232.268i | 0.257592 | + | 0.583589i | ||||
\(399\) | 56.8196 | − | 88.1964i | 0.142405 | − | 0.221044i | ||||
\(400\) | −22.4055 | − | 243.119i | −0.0560137 | − | 0.607798i | ||||
\(401\) | 90.4903 | + | 156.734i | 0.225662 | + | 0.390858i | 0.956518 | − | 0.291674i | \(-0.0942123\pi\) |
−0.730856 | + | 0.682532i | \(0.760879\pi\) | |||||||
\(402\) | −31.0320 | − | 3.36220i | −0.0771941 | − | 0.00836368i | ||||
\(403\) | 216.310 | + | 124.887i | 0.536749 | + | 0.309892i | ||||
\(404\) | −109.893 | − | 24.0959i | −0.272013 | − | 0.0596433i | ||||
\(405\) | −376.179 | −0.928837 | ||||||||
\(406\) | 83.6901 | + | 217.735i | 0.206133 | + | 0.536292i | ||||
\(407\) | 628.431 | 1.54406 | ||||||||
\(408\) | 23.0369 | + | 113.747i | 0.0564629 | + | 0.278793i | ||||
\(409\) | −310.767 | − | 179.421i | −0.759821 | − | 0.438683i | 0.0694104 | − | 0.997588i | \(-0.477888\pi\) |
−0.829232 | + | 0.558905i | \(0.811222\pi\) | |||||||
\(410\) | 81.9423 | + | 8.87812i | 0.199859 | + | 0.0216539i | ||||
\(411\) | −115.258 | − | 199.632i | −0.280432 | − | 0.485723i | ||||
\(412\) | −491.507 | − | 448.293i | −1.19298 | − | 1.08809i | ||||
\(413\) | 175.029 | + | 340.441i | 0.423798 | + | 0.824312i | ||||
\(414\) | −357.606 | + | 157.845i | −0.863782 | + | 0.381268i | ||||
\(415\) | −115.302 | − | 199.709i | −0.277836 | − | 0.481226i | ||||
\(416\) | −621.499 | − | 9.96114i | −1.49399 | − | 0.0239450i | ||||
\(417\) | 22.4031 | − | 38.8033i | 0.0537245 | − | 0.0930535i | ||||
\(418\) | −256.743 | + | 351.005i | −0.614218 | + | 0.839725i | ||||
\(419\) | 780.890 | 1.86370 | 0.931849 | − | 0.362846i | \(-0.118195\pi\) | ||||
0.931849 | + | 0.362846i | \(0.118195\pi\) | |||||||
\(420\) | −156.194 | − | 42.3156i | −0.371890 | − | 0.100751i | ||||
\(421\) | 114.961i | 0.273068i | 0.990635 | + | 0.136534i | \(0.0435962\pi\) | ||||
−0.990635 | + | 0.136534i | \(0.956404\pi\) | |||||||
\(422\) | 8.46388 | − | 11.5714i | 0.0200566 | − | 0.0274203i | ||||
\(423\) | −155.002 | − | 89.4904i | −0.366435 | − | 0.211561i | ||||
\(424\) | −222.972 | + | 196.916i | −0.525878 | + | 0.464425i | ||||
\(425\) | −210.472 | + | 121.516i | −0.495228 | + | 0.285920i | ||||
\(426\) | 53.4258 | − | 23.5818i | 0.125413 | − | 0.0553563i | ||||
\(427\) | −71.6425 | − | 3.49290i | −0.167781 | − | 0.00818010i | ||||
\(428\) | 583.931 | + | 532.591i | 1.36432 | + | 1.24437i | ||||
\(429\) | 202.482 | − | 116.903i | 0.471985 | − | 0.272501i | ||||
\(430\) | −420.030 | − | 45.5085i | −0.976813 | − | 0.105834i | ||||
\(431\) | −154.856 | + | 268.219i | −0.359295 | + | 0.622317i | −0.987843 | − | 0.155453i | \(-0.950316\pi\) |
0.628548 | + | 0.777771i | \(0.283649\pi\) | |||||||
\(432\) | 204.315 | − | 144.478i | 0.472952 | − | 0.334440i | ||||
\(433\) | 595.775i | 1.37592i | 0.725747 | + | 0.687962i | \(0.241494\pi\) | ||||
−0.725747 | + | 0.687962i | \(0.758506\pi\) | |||||||
\(434\) | 177.819 | + | 28.0838i | 0.409721 | + | 0.0647092i | ||||
\(435\) | 96.2958i | 0.221370i | ||||||||
\(436\) | −9.86914 | + | 45.0099i | −0.0226356 | + | 0.103234i | ||||
\(437\) | −196.808 | + | 340.881i | −0.450361 | + | 0.780048i | ||||
\(438\) | 194.091 | + | 21.0289i | 0.443129 | + | 0.0480113i | ||||
\(439\) | 698.796 | − | 403.450i | 1.59179 | − | 0.919020i | 0.598789 | − | 0.800907i | \(-0.295649\pi\) |
0.993000 | − | 0.118113i | \(-0.0376846\pi\) | |||||||
\(440\) | 635.925 | + | 213.407i | 1.44529 | + | 0.485015i | ||||
\(441\) | 232.951 | − | 325.593i | 0.528233 | − | 0.738306i | ||||
\(442\) | 249.849 | + | 566.045i | 0.565269 | + | 1.28065i | ||||
\(443\) | 385.214 | − | 222.403i | 0.869557 | − | 0.502039i | 0.00235617 | − | 0.999997i | \(-0.499250\pi\) |
0.867201 | + | 0.497958i | \(0.165917\pi\) | |||||||
\(444\) | −165.126 | + | 52.4849i | −0.371906 | + | 0.118209i | ||||
\(445\) | 5.90012 | + | 3.40644i | 0.0132587 | + | 0.00765491i | ||||
\(446\) | 330.280 | − | 451.540i | 0.740538 | − | 1.01242i | ||||
\(447\) | − | 37.9772i | − | 0.0849601i | ||||||
\(448\) | −420.696 | + | 154.010i | −0.939053 | + | 0.343773i | ||||
\(449\) | 262.420 | 0.584455 | 0.292228 | − | 0.956349i | \(-0.405604\pi\) | ||||
0.292228 | + | 0.956349i | \(0.405604\pi\) | |||||||
\(450\) | 201.256 | + | 147.209i | 0.447235 | + | 0.327131i | ||||
\(451\) | −42.9145 | + | 74.3302i | −0.0951542 | + | 0.164812i | ||||
\(452\) | −17.9213 | − | 56.3836i | −0.0396490 | − | 0.124742i | ||||
\(453\) | 44.4633 | + | 77.0127i | 0.0981530 | + | 0.170006i | ||||
\(454\) | 557.659 | − | 246.147i | 1.22832 | − | 0.542174i | ||||
\(455\) | −861.712 | − | 42.0124i | −1.89387 | − | 0.0923350i | ||||
\(456\) | 38.1466 | − | 113.672i | 0.0836549 | − | 0.249281i | ||||
\(457\) | −194.738 | − | 337.296i | −0.426122 | − | 0.738065i | 0.570403 | − | 0.821365i | \(-0.306787\pi\) |
−0.996524 | + | 0.0833004i | \(0.973454\pi\) | |||||||
\(458\) | 89.3368 | − | 824.551i | 0.195058 | − | 1.80033i | ||||
\(459\) | −215.720 | − | 124.546i | −0.469978 | − | 0.271342i | ||||
\(460\) | 593.040 | + | 130.034i | 1.28922 | + | 0.282682i | ||||
\(461\) | 158.714 | 0.344283 | 0.172141 | − | 0.985072i | \(-0.444931\pi\) | ||||
0.172141 | + | 0.985072i | \(0.444931\pi\) | |||||||
\(462\) | 105.992 | − | 131.007i | 0.229420 | − | 0.283564i | ||||
\(463\) | −528.844 | −1.14221 | −0.571106 | − | 0.820877i | \(-0.693485\pi\) | ||||
−0.571106 | + | 0.820877i | \(0.693485\pi\) | |||||||
\(464\) | 153.919 | + | 217.666i | 0.331721 | + | 0.469107i | ||||
\(465\) | 64.3601 | + | 37.1583i | 0.138409 | + | 0.0799103i | ||||
\(466\) | 35.5301 | − | 327.932i | 0.0762449 | − | 0.703717i | ||||
\(467\) | −218.449 | − | 378.365i | −0.467771 | − | 0.810203i | 0.531551 | − | 0.847026i | \(-0.321609\pi\) |
−0.999322 | + | 0.0368236i | \(0.988276\pi\) | |||||||
\(468\) | 427.788 | − | 469.025i | 0.914078 | − | 1.00219i | ||||
\(469\) | −106.667 | + | 54.8401i | −0.227435 | + | 0.116930i | ||||
\(470\) | 112.254 | + | 254.318i | 0.238839 | + | 0.541102i | ||||
\(471\) | −12.8274 | − | 22.2177i | −0.0272344 | − | 0.0471713i | ||||
\(472\) | 289.595 | + | 327.914i | 0.613548 | + | 0.694733i | ||||
\(473\) | 219.977 | − | 381.011i | 0.465067 | − | 0.805519i | ||||
\(474\) | 85.7346 | + | 62.7107i | 0.180875 | + | 0.132301i | ||||
\(475\) | 251.085 | 0.528600 | ||||||||
\(476\) | 314.460 | + | 316.205i | 0.660631 | + | 0.664296i | ||||
\(477\) | − | 303.811i | − | 0.636920i | ||||||
\(478\) | 30.8617 | + | 22.5739i | 0.0645643 | + | 0.0472256i | ||||
\(479\) | 472.737 | + | 272.935i | 0.986925 | + | 0.569802i | 0.904354 | − | 0.426783i | \(-0.140353\pi\) |
0.0825716 | + | 0.996585i | \(0.473687\pi\) | |||||||
\(480\) | −184.919 | − | 2.96380i | −0.385247 | − | 0.00617458i | ||||
\(481\) | −799.980 | + | 461.869i | −1.66316 | + | 0.960226i | ||||
\(482\) | 282.913 | + | 640.955i | 0.586957 | + | 1.32978i | ||||
\(483\) | 82.6039 | − | 128.219i | 0.171023 | − | 0.265464i | ||||
\(484\) | −144.553 | + | 158.487i | −0.298663 | + | 0.327453i | ||||
\(485\) | 931.488 | − | 537.795i | 1.92059 | − | 1.10886i | ||||
\(486\) | −41.9576 | + | 387.255i | −0.0863324 | + | 0.796822i | ||||
\(487\) | −324.115 | + | 561.384i | −0.665534 | + | 1.15274i | 0.313606 | + | 0.949553i | \(0.398463\pi\) |
−0.979140 | + | 0.203185i | \(0.934871\pi\) | |||||||
\(488\) | −80.3433 | + | 16.2716i | −0.164638 | + | 0.0333435i | ||||
\(489\) | − | 220.822i | − | 0.451579i | ||||||
\(490\) | −590.589 | + | 194.563i | −1.20528 | + | 0.397068i | ||||
\(491\) | 732.074i | 1.49098i | 0.666514 | + | 0.745492i | \(0.267786\pi\) | ||||
−0.666514 | + | 0.745492i | \(0.732214\pi\) | |||||||
\(492\) | 5.06834 | − | 23.1151i | 0.0103015 | − | 0.0469818i | ||||
\(493\) | 132.684 | − | 229.815i | 0.269136 | − | 0.466157i | ||||
\(494\) | 68.8557 | − | 635.516i | 0.139384 | − | 1.28647i | ||||
\(495\) | −593.279 | + | 342.530i | −1.19854 | + | 0.691980i | ||||
\(496\) | 204.872 | − | 18.8807i | 0.413049 | − | 0.0380659i | ||||
\(497\) | 121.529 | − | 188.640i | 0.244526 | − | 0.379557i | ||||
\(498\) | −60.5709 | + | 26.7356i | −0.121628 | + | 0.0536859i | ||||
\(499\) | 23.1264 | − | 13.3520i | 0.0463454 | − | 0.0267575i | −0.476648 | − | 0.879094i | \(-0.658148\pi\) |
0.522994 | + | 0.852337i | \(0.324815\pi\) | |||||||
\(500\) | 74.8860 | + | 235.604i | 0.149772 | + | 0.471208i | ||||
\(501\) | 47.4172 | + | 27.3763i | 0.0946451 | + | 0.0546434i | ||||
\(502\) | 142.572 | + | 104.284i | 0.284008 | + | 0.207738i | ||||
\(503\) | − | 616.414i | − | 1.22548i | −0.790286 | − | 0.612738i | \(-0.790068\pi\) | ||
0.790286 | − | 0.612738i | \(-0.209932\pi\) | |||||||
\(504\) | 166.515 | − | 426.162i | 0.330387 | − | 0.845560i | ||||
\(505\) | −178.460 | −0.353387 | ||||||||
\(506\) | −373.251 | + | 510.289i | −0.737651 | + | 1.00848i | ||||
\(507\) | −94.8687 | + | 164.317i | −0.187118 | + | 0.324097i | ||||
\(508\) | −85.1377 | − | 267.857i | −0.167594 | − | 0.527278i | ||||
\(509\) | −66.3763 | − | 114.967i | −0.130405 | − | 0.225869i | 0.793428 | − | 0.608665i | \(-0.208295\pi\) |
−0.923833 | + | 0.382796i | \(0.874961\pi\) | |||||||
\(510\) | 74.3391 | + | 168.419i | 0.145763 | + | 0.330233i | ||||
\(511\) | 667.152 | − | 342.999i | 1.30558 | − | 0.671230i | ||||
\(512\) | −422.725 | + | 288.874i | −0.825634 | + | 0.564206i | ||||
\(513\) | 128.673 | + | 222.868i | 0.250824 | + | 0.434440i | ||||
\(514\) | −171.164 | − | 18.5449i | −0.333004 | − | 0.0360796i | ||||
\(515\) | −913.867 | − | 527.621i | −1.77450 | − | 1.02451i | ||||
\(516\) | −25.9799 | + | 118.486i | −0.0503487 | + | 0.229624i | ||||
\(517\) | −289.483 | −0.559928 | ||||||||
\(518\) | −418.761 | + | 517.591i | −0.808420 | + | 0.999211i | ||||
\(519\) | −126.942 | −0.244589 | ||||||||
\(520\) | −966.364 | + | 195.714i | −1.85839 | + | 0.376374i | ||||
\(521\) | −585.480 | − | 338.027i | −1.12376 | − | 0.648804i | −0.181403 | − | 0.983409i | \(-0.558064\pi\) |
−0.942359 | + | 0.334605i | \(0.891397\pi\) | |||||||
\(522\) | −270.680 | − | 29.3271i | −0.518544 | − | 0.0561822i | ||||
\(523\) | −186.224 | − | 322.550i | −0.356069 | − | 0.616730i | 0.631231 | − | 0.775595i | \(-0.282550\pi\) |
−0.987300 | + | 0.158865i | \(0.949217\pi\) | |||||||
\(524\) | 383.113 | − | 420.043i | 0.731131 | − | 0.801609i | ||||
\(525\) | −97.1787 | − | 4.73791i | −0.185102 | − | 0.00902459i | ||||
\(526\) | 584.055 | − | 257.798i | 1.11037 | − | 0.490110i | ||||
\(527\) | −102.399 | − | 177.361i | −0.194306 | − | 0.336548i | ||||
\(528\) | 80.5817 | − | 174.919i | 0.152617 | − | 0.331286i | ||||
\(529\) | −21.6179 | + | 37.4433i | −0.0408656 | + | 0.0707813i | ||||
\(530\) | −278.583 | + | 380.864i | −0.525629 | + | 0.718611i | ||||
\(531\) | −446.799 | −0.841429 | ||||||||
\(532\) | −118.013 | − | 445.355i | −0.221829 | − | 0.837134i | ||||
\(533\) | − | 126.161i | − | 0.236700i | ||||||
\(534\) | 1.15480 | − | 1.57878i | 0.00216255 | − | 0.00295653i | ||||
\(535\) | 1085.71 | + | 626.836i | 2.02937 | + | 1.17166i | ||||
\(536\) | −102.742 | + | 90.7360i | −0.191683 | + | 0.169284i | ||||
\(537\) | −230.123 | + | 132.862i | −0.428534 | + | 0.247414i | ||||
\(538\) | −105.148 | + | 46.4119i | −0.195443 | + | 0.0862674i | ||||
\(539\) | 62.9892 | − | 644.447i | 0.116863 | − | 1.19563i | ||||
\(540\) | 267.490 | − | 293.275i | 0.495352 | − | 0.543102i | ||||
\(541\) | −60.3373 | + | 34.8357i | −0.111529 | + | 0.0643914i | −0.554727 | − | 0.832032i | \(-0.687177\pi\) |
0.443198 | + | 0.896424i | \(0.353844\pi\) | |||||||
\(542\) | −61.3936 | − | 6.65176i | −0.113272 | − | 0.0122726i | ||||
\(543\) | −75.9860 | + | 131.612i | −0.139937 | + | 0.242379i | ||||
\(544\) | 437.235 | + | 261.869i | 0.803741 | + | 0.481377i | ||||
\(545\) | 73.0934i | 0.134116i | ||||||||
\(546\) | −38.6416 | + | 244.668i | −0.0707722 | + | 0.448110i | ||||
\(547\) | 466.463i | 0.852765i | 0.904543 | + | 0.426383i | \(0.140212\pi\) | ||||
−0.904543 | + | 0.426383i | \(0.859788\pi\) | |||||||
\(548\) | −988.803 | − | 216.811i | −1.80439 | − | 0.395640i | ||||
\(549\) | 41.8599 | − | 72.5034i | 0.0762475 | − | 0.132065i | ||||
\(550\) | 400.947 | + | 43.4410i | 0.728995 | + | 0.0789837i | ||||
\(551\) | −237.430 | + | 137.081i | −0.430908 | + | 0.248785i | ||||
\(552\) | 55.4574 | − | 165.256i | 0.100466 | − | 0.299377i | ||||
\(553\) | 407.674 | + | 19.8760i | 0.737204 | + | 0.0359421i | ||||
\(554\) | −287.659 | − | 651.707i | −0.519241 | − | 1.17637i | ||||
\(555\) | −238.023 | + | 137.423i | −0.428870 | + | 0.247608i | ||||
\(556\) | −59.6025 | − | 187.519i | −0.107199 | − | 0.337265i | ||||
\(557\) | −118.835 | − | 68.6094i | −0.213348 | − | 0.123177i | 0.389518 | − | 0.921019i | \(-0.372642\pi\) |
−0.602866 | + | 0.797842i | \(0.705975\pi\) | |||||||
\(558\) | −124.050 | + | 169.595i | −0.222312 | + | 0.303933i | ||||
\(559\) | 646.692i | 1.15687i | ||||||||
\(560\) | −599.522 | + | 381.558i | −1.07058 | + | 0.681354i | ||||
\(561\) | −191.706 | −0.341722 | ||||||||
\(562\) | 474.850 | + | 347.329i | 0.844929 | + | 0.618024i | ||||
\(563\) | −84.5632 | + | 146.468i | −0.150201 | + | 0.260156i | −0.931301 | − | 0.364250i | \(-0.881325\pi\) |
0.781100 | + | 0.624406i | \(0.214659\pi\) | |||||||
\(564\) | 76.0643 | − | 24.1768i | 0.134866 | − | 0.0428667i | ||||
\(565\) | −46.9240 | − | 81.2747i | −0.0830513 | − | 0.143849i | ||||
\(566\) | −759.324 | + | 335.161i | −1.34156 | + | 0.592157i | ||||
\(567\) | 189.757 | + | 369.088i | 0.334669 | + | 0.650949i | ||||
\(568\) | 81.5905 | − | 243.130i | 0.143645 | − | 0.428045i | ||||
\(569\) | −372.466 | − | 645.129i | −0.654597 | − | 1.13379i | −0.981995 | − | 0.188908i | \(-0.939505\pi\) |
0.327398 | − | 0.944887i | \(-0.393828\pi\) | |||||||
\(570\) | 20.4871 | − | 189.089i | 0.0359422 | − | 0.331735i | ||||
\(571\) | 767.828 | + | 443.306i | 1.34471 | + | 0.776367i | 0.987494 | − | 0.157655i | \(-0.0503935\pi\) |
0.357213 | + | 0.934023i | \(0.383727\pi\) | |||||||
\(572\) | 219.906 | − | 1002.92i | 0.384450 | − | 1.75335i | ||||
\(573\) | −119.647 | −0.208809 | ||||||||
\(574\) | −32.6236 | − | 84.8761i | −0.0568355 | − | 0.147868i | ||||
\(575\) | 365.026 | 0.634827 | ||||||||
\(576\) | 64.6484 | − | 518.889i | 0.112237 | − | 0.900849i | ||||
\(577\) | −207.900 | − | 120.031i | −0.360311 | − | 0.208026i | 0.308906 | − | 0.951093i | \(-0.400037\pi\) |
−0.669217 | + | 0.743067i | \(0.733370\pi\) | |||||||
\(578\) | −7.61293 | + | 70.2650i | −0.0131712 | + | 0.121566i | ||||
\(579\) | 37.0900 | + | 64.2417i | 0.0640586 | + | 0.110953i | ||||
\(580\) | 312.439 | + | 284.969i | 0.538687 | + | 0.491326i | ||||
\(581\) | −137.782 | + | 213.868i | −0.237147 | + | 0.368104i | ||||
\(582\) | −124.701 | − | 282.516i | −0.214263 | − | 0.485423i | ||||
\(583\) | −245.691 | − | 425.549i | −0.421425 | − | 0.729930i | ||||
\(584\) | 642.604 | − | 567.510i | 1.10035 | − | 0.971763i | ||||
\(585\) | 503.488 | − | 872.067i | 0.860663 | − | 1.49071i | ||||
\(586\) | 598.186 | + | 437.544i | 1.02080 | + | 0.746662i | ||||
\(587\) | 190.873 | 0.325168 | 0.162584 | − | 0.986695i | \(-0.448017\pi\) | ||||
0.162584 | + | 0.986695i | \(0.448017\pi\) | |||||||
\(588\) | 37.2715 | + | 174.595i | 0.0633868 | + | 0.296931i | ||||
\(589\) | 211.585i | 0.359227i | ||||||||
\(590\) | 560.117 | + | 409.698i | 0.949351 | + | 0.694404i | ||||
\(591\) | 1.65299 | + | 0.954353i | 0.00279693 | + | 0.00161481i | ||||
\(592\) | −318.368 | + | 691.083i | −0.537784 | + | 1.16737i | ||||
\(593\) | 637.548 | − | 368.089i | 1.07512 | − | 0.620723i | 0.145547 | − | 0.989351i | \(-0.453506\pi\) |
0.929577 | + | 0.368629i | \(0.120173\pi\) | |||||||
\(594\) | 166.913 | + | 378.150i | 0.280998 | + | 0.636617i | ||||
\(595\) | 594.667 | + | 383.108i | 0.999441 | + | 0.643879i | ||||
\(596\) | −123.220 | − | 112.386i | −0.206744 | − | 0.188567i | ||||
\(597\) | 100.137 | − | 57.8144i | 0.167734 | − | 0.0968415i | ||||
\(598\) | 100.102 | − | 923.910i | 0.167395 | − | 1.54500i | ||||
\(599\) | −558.330 | + | 967.057i | −0.932104 | + | 1.61445i | −0.152386 | + | 0.988321i | \(0.548696\pi\) |
−0.779718 | + | 0.626131i | \(0.784638\pi\) | |||||||
\(600\) | −108.981 | + | 22.0715i | −0.181635 | + | 0.0367858i | ||||
\(601\) | − | 183.100i | − | 0.304659i | −0.988330 | − | 0.152329i | \(-0.951323\pi\) | ||
0.988330 | − | 0.152329i | \(-0.0486774\pi\) | |||||||
\(602\) | 167.226 | + | 435.068i | 0.277784 | + | 0.722705i | ||||
\(603\) | − | 139.991i | − | 0.232158i | ||||||
\(604\) | 381.454 | + | 83.6398i | 0.631546 | + | 0.138477i | ||||
\(605\) | −170.132 | + | 294.678i | −0.281210 | + | 0.487071i | ||||
\(606\) | −5.51912 | + | 50.9398i | −0.00910746 | + | 0.0840591i | ||||
\(607\) | 394.026 | − | 227.491i | 0.649136 | − | 0.374779i | −0.138989 | − | 0.990294i | \(-0.544385\pi\) |
0.788125 | + | 0.615515i | \(0.211052\pi\) | |||||||
\(608\) | −255.931 | − | 460.161i | −0.420938 | − | 0.756844i | ||||
\(609\) | 94.4807 | − | 48.5748i | 0.155141 | − | 0.0797615i | ||||
\(610\) | −118.959 | + | 52.5079i | −0.195015 | + | 0.0860786i | ||||
\(611\) | 368.505 | − | 212.757i | 0.603118 | − | 0.348211i | ||||
\(612\) | −496.053 | + | 157.669i | −0.810544 | + | 0.257629i | ||||
\(613\) | 232.853 | + | 134.438i | 0.379859 | + | 0.219312i | 0.677757 | − | 0.735286i | \(-0.262952\pi\) |
−0.297898 | + | 0.954598i | \(0.596286\pi\) | |||||||
\(614\) | 258.810 | + | 189.307i | 0.421514 | + | 0.308317i | ||||
\(615\) | − | 37.5375i | − | 0.0610366i | ||||||
\(616\) | −111.398 | − | 731.588i | −0.180841 | − | 1.18764i | ||||
\(617\) | −184.934 | −0.299731 | −0.149866 | − | 0.988706i | \(-0.547884\pi\) | ||||
−0.149866 | + | 0.988706i | \(0.547884\pi\) | |||||||
\(618\) | −178.867 | + | 244.537i | −0.289429 | + | 0.395691i | ||||
\(619\) | −496.809 | + | 860.498i | −0.802599 | + | 1.39014i | 0.115301 | + | 0.993331i | \(0.463217\pi\) |
−0.917900 | + | 0.396812i | \(0.870116\pi\) | |||||||
\(620\) | 311.024 | − | 98.8581i | 0.501652 | − | 0.159449i | ||||
\(621\) | 187.064 | + | 324.004i | 0.301229 | + | 0.521745i | ||||
\(622\) | −381.871 | − | 865.148i | −0.613940 | − | 1.39091i | ||||
\(623\) | 0.366012 | − | 7.50723i | 0.000587499 | − | 0.0120501i | ||||
\(624\) | 25.9787 | + | 281.892i | 0.0416325 | + | 0.451750i | ||||
\(625\) | 386.818 | + | 669.988i | 0.618909 | + | 1.07198i | ||||
\(626\) | −459.337 | − | 49.7674i | −0.733766 | − | 0.0795006i | ||||
\(627\) | 171.524 | + | 99.0292i | 0.273562 | + | 0.157941i | ||||
\(628\) | −110.047 | − | 24.1296i | −0.175234 | − | 0.0384229i | ||||
\(629\) | 757.408 | 1.20415 | ||||||||
\(630\) | 113.222 | − | 716.887i | 0.179717 | − | 1.13792i | ||||
\(631\) | 805.857 | 1.27711 | 0.638555 | − | 0.769576i | \(-0.279532\pi\) | ||||
0.638555 | + | 0.769576i | \(0.279532\pi\) | |||||||
\(632\) | 457.185 | − | 92.5920i | 0.723393 | − | 0.146506i | ||||
\(633\) | −5.65451 | − | 3.26463i | −0.00893287 | − | 0.00515740i | ||||
\(634\) | 448.015 | + | 48.5406i | 0.706648 | + | 0.0765625i | ||||
\(635\) | −222.918 | − | 386.106i | −0.351053 | − | 0.608041i | ||||
\(636\) | 100.098 | + | 91.2976i | 0.157387 | + | 0.143550i | ||||
\(637\) | 393.455 | + | 866.662i | 0.617669 | + | 1.36054i | ||||
\(638\) | −402.860 | + | 177.820i | −0.631442 | + | 0.278714i | ||||
\(639\) | 130.957 | + | 226.825i | 0.204941 | + | 0.354969i | ||||
\(640\) | −556.847 | + | 591.211i | −0.870074 | + | 0.923767i | ||||
\(641\) | −2.75221 | + | 4.76696i | −0.00429361 | + | 0.00743676i | −0.868164 | − | 0.496277i | \(-0.834700\pi\) |
0.863871 | + | 0.503714i | \(0.168033\pi\) | |||||||
\(642\) | 212.501 | − | 290.520i | 0.330999 | − | 0.452524i | ||||
\(643\) | −1024.08 | −1.59266 | −0.796331 | − | 0.604861i | \(-0.793229\pi\) | ||||
−0.796331 | + | 0.604861i | \(0.793229\pi\) | |||||||
\(644\) | −171.567 | − | 647.455i | −0.266408 | − | 1.00536i | ||||
\(645\) | 192.414i | 0.298317i | ||||||||
\(646\) | −309.436 | + | 423.044i | −0.479003 | + | 0.654866i | ||||
\(647\) | 395.404 | + | 228.287i | 0.611134 | + | 0.352839i | 0.773409 | − | 0.633907i | \(-0.218550\pi\) |
−0.162275 | + | 0.986746i | \(0.551883\pi\) | |||||||
\(648\) | 313.963 | + | 355.507i | 0.484511 | + | 0.548623i | ||||
\(649\) | −625.834 | + | 361.325i | −0.964304 | + | 0.556741i | ||||
\(650\) | −542.325 | + | 239.379i | −0.834346 | + | 0.368275i | ||||
\(651\) | 3.99255 | − | 81.8908i | 0.00613295 | − | 0.125792i | ||||
\(652\) | −716.473 | − | 653.480i | −1.09888 | − | 1.00227i | ||||
\(653\) | −24.4603 | + | 14.1222i | −0.0374584 | + | 0.0216266i | −0.518612 | − | 0.855010i | \(-0.673551\pi\) |
0.481154 | + | 0.876636i | \(0.340218\pi\) | |||||||
\(654\) | 20.8638 | + | 2.26051i | 0.0319018 | + | 0.00345644i | ||||
\(655\) | 450.907 | − | 780.994i | 0.688407 | − | 1.19236i | ||||
\(656\) | −59.9997 | − | 84.8492i | −0.0914630 | − | 0.129343i | ||||
\(657\) | 875.579i | 1.33269i | ||||||||
\(658\) | 192.900 | − | 238.425i | 0.293160 | − | 0.362348i | ||||
\(659\) | − | 132.188i | − | 0.200589i | −0.994958 | − | 0.100295i | \(-0.968021\pi\) | ||
0.994958 | − | 0.100295i | \(-0.0319785\pi\) | |||||||
\(660\) | 65.4299 | − | 298.404i | 0.0991362 | − | 0.452128i | ||||
\(661\) | 346.924 | − | 600.889i | 0.524847 | − | 0.909061i | −0.474735 | − | 0.880129i | \(-0.657456\pi\) |
0.999581 | − | 0.0289321i | \(-0.00921065\pi\) | |||||||
\(662\) | −41.1567 | − | 4.45917i | −0.0621703 | − | 0.00673590i | ||||
\(663\) | 244.038 | − | 140.895i | 0.368082 | − | 0.212512i | ||||
\(664\) | −92.5022 | + | 275.645i | −0.139311 | + | 0.415129i | ||||
\(665\) | −334.160 | − | 649.960i | −0.502497 | − | 0.977384i | ||||
\(666\) | −313.794 | − | 710.917i | −0.471162 | − | 1.06744i | ||||
\(667\) | −345.175 | + | 199.287i | −0.517504 | + | 0.298781i | ||||
\(668\) | 229.147 | − | 72.8336i | 0.343034 | − | 0.109032i | ||||
\(669\) | −220.652 | − | 127.393i | −0.329823 | − | 0.190424i | ||||
\(670\) | −128.367 | + | 175.496i | −0.191592 | + | 0.261935i | ||||
\(671\) | − | 135.408i | − | 0.201800i | ||||||
\(672\) | 90.3711 | + | 182.928i | 0.134481 | + | 0.272214i | ||||
\(673\) | 532.137 | 0.790694 | 0.395347 | − | 0.918532i | \(-0.370624\pi\) | ||||
0.395347 | + | 0.918532i | \(0.370624\pi\) | |||||||
\(674\) | −56.4418 | − | 41.2844i | −0.0837415 | − | 0.0612528i | ||||
\(675\) | 119.327 | − | 206.680i | 0.176780 | − | 0.306192i | ||||
\(676\) | 252.394 | + | 794.074i | 0.373364 | + | 1.17467i | ||||
\(677\) | −143.115 | − | 247.883i | −0.211396 | − | 0.366149i | 0.740756 | − | 0.671775i | \(-0.234468\pi\) |
−0.952152 | + | 0.305626i | \(0.901134\pi\) | |||||||
\(678\) | −24.6503 | + | 10.8805i | −0.0363573 | + | 0.0160479i | ||||
\(679\) | −997.531 | − | 642.649i | −1.46912 | − | 0.946464i | ||||
\(680\) | 766.440 | + | 257.205i | 1.12712 | + | 0.378243i | ||||
\(681\) | −138.808 | − | 240.423i | −0.203830 | − | 0.353043i | ||||
\(682\) | −36.6070 | + | 337.871i | −0.0536759 | + | 0.495412i | ||||
\(683\) | 387.838 | + | 223.918i | 0.567844 | + | 0.327845i | 0.756288 | − | 0.654239i | \(-0.227011\pi\) |
−0.188443 | + | 0.982084i | \(0.560344\pi\) | |||||||
\(684\) | 525.276 | + | 115.175i | 0.767947 | + | 0.168385i | ||||
\(685\) | −1605.76 | −2.34417 | ||||||||
\(686\) | 488.809 | + | 481.313i | 0.712549 | + | 0.701622i | ||||
\(687\) | −377.724 | −0.549817 | ||||||||
\(688\) | 307.554 | + | 434.930i | 0.447026 | + | 0.632166i | ||||
\(689\) | 625.519 | + | 361.143i | 0.907865 | + | 0.524156i | ||||
\(690\) | 29.7840 | − | 274.897i | 0.0431652 | − | 0.398401i | ||||
\(691\) | 510.366 | + | 883.980i | 0.738591 | + | 1.27928i | 0.953130 | + | 0.302561i | \(0.0978417\pi\) |
−0.214539 | + | 0.976715i | \(0.568825\pi\) | |||||||
\(692\) | −375.659 | + | 411.871i | −0.542860 | + | 0.595189i | ||||
\(693\) | 635.343 | + | 409.313i | 0.916801 | + | 0.590639i | ||||
\(694\) | 354.331 | + | 802.754i | 0.510563 | + | 1.15671i | ||||
\(695\) | −156.059 | − | 270.302i | −0.224545 | − | 0.388924i | ||||
\(696\) | 91.0042 | − | 80.3696i | 0.130753 | − | 0.115474i | ||||
\(697\) | −51.7221 | + | 89.5854i | −0.0742068 | + | 0.128530i | ||||
\(698\) | −702.398 | − | 513.770i | −1.00630 | − | 0.736060i | ||||
\(699\) | −150.225 | −0.214914 | ||||||||
\(700\) | −302.954 | + | 301.283i | −0.432792 | + | 0.430404i | ||||
\(701\) | − | 1311.02i | − | 1.87021i | −0.354369 | − | 0.935106i | \(-0.615304\pi\) | ||
0.354369 | − | 0.935106i | \(-0.384696\pi\) | |||||||
\(702\) | −490.400 | − | 358.704i | −0.698576 | − | 0.510974i | ||||
\(703\) | −677.669 | − | 391.252i | −0.963967 | − | 0.556546i | ||||
\(704\) | −329.071 | − | 779.092i | −0.467431 | − | 1.10666i | ||||
\(705\) | 109.644 | − | 63.3028i | 0.155523 | − | 0.0897912i | ||||
\(706\) | −227.027 | − | 514.342i | −0.321568 | − | 0.728530i | ||||
\(707\) | 90.0213 | + | 175.096i | 0.127329 | + | 0.247661i | ||||
\(708\) | 134.267 | − | 147.210i | 0.189642 | − | 0.207923i | ||||
\(709\) | −465.495 | + | 268.754i | −0.656552 | + | 0.379061i | −0.790962 | − | 0.611865i | \(-0.790419\pi\) |
0.134410 | + | 0.990926i | \(0.457086\pi\) | |||||||
\(710\) | 43.8190 | − | 404.436i | 0.0617169 | − | 0.569628i | ||||
\(711\) | −238.199 | + | 412.573i | −0.335020 | + | 0.580271i | ||||
\(712\) | −1.70506 | − | 8.41895i | −0.00239475 | − | 0.0118244i | ||||
\(713\) | 307.601i | 0.431417i | ||||||||
\(714\) | 127.745 | − | 157.894i | 0.178915 | − | 0.221140i | ||||
\(715\) | − | 1628.68i | − | 2.27787i | ||||||
\(716\) | −249.926 | + | 1139.83i | −0.349058 | + | 1.59194i | ||||
\(717\) | 8.70704 | − | 15.0810i | 0.0121437 | − | 0.0210335i | ||||
\(718\) | −56.8587 | + | 524.788i | −0.0791904 | + | 0.730903i | ||||
\(719\) | −233.275 | + | 134.681i | −0.324443 | + | 0.187318i | −0.653371 | − | 0.757037i | \(-0.726646\pi\) |
0.328928 | + | 0.944355i | \(0.393313\pi\) | |||||||
\(720\) | −76.1187 | − | 825.955i | −0.105720 | − | 1.14716i | ||||
\(721\) | −56.6914 | + | 1162.79i | −0.0786288 | + | 1.61275i | ||||
\(722\) | −165.128 | + | 72.8866i | −0.228710 | + | 0.100951i | ||||
\(723\) | 276.334 | − | 159.541i | 0.382204 | − | 0.220666i | ||||
\(724\) | 202.158 | + | 636.022i | 0.279223 | + | 0.878483i | ||||
\(725\) | 220.185 | + | 127.124i | 0.303703 | + | 0.175343i | ||||
\(726\) | 78.8513 | + | 57.6759i | 0.108611 | + | 0.0794434i | ||||
\(727\) | − | 460.316i | − | 0.633172i | −0.948564 | − | 0.316586i | \(-0.897463\pi\) | ||
0.948564 | − | 0.316586i | \(-0.102537\pi\) | |||||||
\(728\) | 679.491 | + | 849.424i | 0.933367 | + | 1.16679i | ||||
\(729\) | −356.185 | −0.488594 | ||||||||
\(730\) | 802.874 | − | 1097.64i | 1.09983 | − | 1.50362i | ||||
\(731\) | 265.124 | − | 459.208i | 0.362686 | − | 0.628191i | ||||
\(732\) | 11.3089 | + | 35.5797i | 0.0154493 | + | 0.0486062i | ||||
\(733\) | −33.3410 | − | 57.7484i | −0.0454857 | − | 0.0787836i | 0.842386 | − | 0.538874i | \(-0.181150\pi\) |
−0.887872 | + | 0.460091i | \(0.847817\pi\) | |||||||
\(734\) | 125.130 | + | 283.490i | 0.170478 | + | 0.386226i | ||||
\(735\) | 117.067 | + | 257.863i | 0.159275 | + | 0.350834i | ||||
\(736\) | −372.070 | − | 668.979i | −0.505530 | − | 0.908939i | ||||
\(737\) | −113.211 | − | 196.087i | −0.153610 | − | 0.266061i | ||||
\(738\) | 105.515 | + | 11.4321i | 0.142974 | + | 0.0154907i | ||||
\(739\) | −808.772 | − | 466.944i | −1.09441 | − | 0.631860i | −0.159665 | − | 0.987171i | \(-0.551042\pi\) |
−0.934748 | + | 0.355311i | \(0.884375\pi\) | |||||||
\(740\) | −258.506 | + | 1178.96i | −0.349332 | + | 1.59319i | ||||
\(741\) | −291.128 | −0.392885 | ||||||||
\(742\) | 514.211 | + | 81.2119i | 0.693007 | + | 0.109450i | ||||
\(743\) | −1198.23 | −1.61269 | −0.806345 | − | 0.591446i | \(-0.798557\pi\) | ||||
−0.806345 | + | 0.591446i | \(0.798557\pi\) | |||||||
\(744\) | −18.5993 | − | 91.8361i | −0.0249990 | − | 0.123436i | ||||
\(745\) | −229.104 | − | 132.273i | −0.307523 | − | 0.177548i | ||||
\(746\) | 1162.92 | + | 125.997i | 1.55887 | + | 0.168897i | ||||
\(747\) | −148.471 | − | 257.160i | −0.198757 | − | 0.344257i | ||||
\(748\) | −567.318 | + | 622.005i | −0.758446 | + | 0.831557i | ||||
\(749\) | 67.3518 | − | 1381.44i | 0.0899222 | − | 1.84438i | ||||
\(750\) | 103.003 | − | 45.4651i | 0.137338 | − | 0.0606201i | ||||
\(751\) | 84.2993 | + | 146.011i | 0.112249 | + | 0.194422i | 0.916677 | − | 0.399629i | \(-0.130861\pi\) |
−0.804427 | + | 0.594051i | \(0.797528\pi\) | |||||||
\(752\) | 146.654 | − | 318.343i | 0.195019 | − | 0.423328i | ||||
\(753\) | 40.2239 | − | 69.6698i | 0.0534182 | − | 0.0925230i | ||||
\(754\) | 382.143 | − | 522.445i | 0.506821 | − | 0.692897i | ||||
\(755\) | 619.458 | 0.820474 | ||||||||
\(756\) | −422.678 | − | 114.511i | −0.559098 | − | 0.151469i | ||||
\(757\) | 209.207i | 0.276364i | 0.990407 | + | 0.138182i | \(0.0441259\pi\) | ||||
−0.990407 | + | 0.138182i | \(0.955874\pi\) | |||||||
\(758\) | −151.344 | + | 206.909i | −0.199662 | + | 0.272967i | ||||
\(759\) | 249.360 | + | 143.968i | 0.328538 | + | 0.189681i | ||||
\(760\) | −552.886 | − | 626.045i | −0.727482 | − | 0.823743i | ||||
\(761\) | 479.127 | − | 276.624i | 0.629602 | − | 0.363501i | −0.150996 | − | 0.988534i | \(-0.548248\pi\) |
0.780598 | + | 0.625033i | \(0.214915\pi\) | |||||||
\(762\) | −117.104 | + | 51.6891i | −0.153680 | + | 0.0678334i | ||||
\(763\) | 71.7156 | − | 36.8707i | 0.0939916 | − | 0.0483233i | ||||
\(764\) | −354.073 | + | 388.205i | −0.463447 | + | 0.508121i | ||||
\(765\) | −715.041 | + | 412.829i | −0.934695 | + | 0.539646i | ||||
\(766\) | 496.932 | + | 53.8405i | 0.648736 | + | 0.0702879i | ||||
\(767\) | 531.115 | − | 919.919i | 0.692458 | − | 1.19937i | ||||
\(768\) | 151.534 | + | 177.231i | 0.197310 | + | 0.230769i | ||||
\(769\) | 219.524i | 0.285467i | 0.989761 | + | 0.142734i | \(0.0455892\pi\) | ||||
−0.989761 | + | 0.142734i | \(0.954411\pi\) | |||||||
\(770\) | −421.155 | − | 1095.71i | −0.546955 | − | 1.42300i | ||||
\(771\) | 78.4096i | 0.101699i | ||||||||
\(772\) | 318.197 | + | 69.7698i | 0.412173 | + | 0.0903755i | ||||
\(773\) | −333.337 | + | 577.357i | −0.431225 | + | 0.746904i | −0.996979 | − | 0.0776701i | \(-0.975252\pi\) |
0.565754 | + | 0.824574i | \(0.308585\pi\) | |||||||
\(774\) | −540.862 | − | 58.6002i | −0.698788 | − | 0.0757108i | ||||
\(775\) | 169.928 | − | 98.1082i | 0.219262 | − | 0.126591i | ||||
\(776\) | −1285.67 | − | 431.452i | −1.65680 | − | 0.555995i | ||||
\(777\) | 254.899 | + | 164.216i | 0.328055 | + | 0.211346i | ||||
\(778\) | 174.786 | + | 395.988i | 0.224661 | + | 0.508981i | ||||
\(779\) | 92.5538 | − | 53.4359i | 0.118811 | − | 0.0685956i | ||||
\(780\) | 136.023 | + | 427.951i | 0.174388 | + | 0.548655i | ||||
\(781\) | 366.866 | + | 211.810i | 0.469738 | + | 0.271204i | ||||
\(782\) | −449.856 | + | 615.018i | −0.575263 | + | 0.786468i | ||||
\(783\) | 260.587i | 0.332806i | ||||||||
\(784\) | 676.784 | + | 395.751i | 0.863246 | + | 0.504784i | ||||
\(785\) | −178.710 | −0.227656 | ||||||||
\(786\) | −208.982 | − | 152.860i | −0.265881 | − | 0.194479i | ||||
\(787\) | 459.932 | − | 796.626i | 0.584412 | − | 1.01223i | −0.410536 | − | 0.911844i | \(-0.634659\pi\) |
0.994948 | − | 0.100387i | \(-0.0320081\pi\) | |||||||
\(788\) | 7.98816 | − | 2.53901i | 0.0101373 | − | 0.00322210i | ||||
\(789\) | −145.378 | − | 251.803i | −0.184256 | − | 0.319141i | ||||
\(790\) | 676.926 | − | 298.791i | 0.856868 | − | 0.378216i | ||||
\(791\) | −56.0727 | + | 87.0371i | −0.0708884 | + | 0.110034i | ||||
\(792\) | 818.865 | + | 274.798i | 1.03392 | + | 0.346967i | ||||
\(793\) | 99.5187 | + | 172.371i | 0.125496 | + | 0.217366i | ||||
\(794\) | −150.776 | + | 1391.62i | −0.189895 | + | 1.75267i | ||||
\(795\) | 186.115 | + | 107.453i | 0.234106 | + | 0.135161i | ||||
\(796\) | 108.755 | − | 495.994i | 0.136626 | − | 0.623108i | ||||
\(797\) | 1016.13 | 1.27494 | 0.637470 | − | 0.770476i | \(-0.279981\pi\) | ||||
0.637470 | + | 0.770476i | \(0.279981\pi\) | |||||||
\(798\) | −195.859 | + | 75.2819i | −0.245438 | + | 0.0943383i | ||||
\(799\) | −348.895 | −0.436664 | ||||||||
\(800\) | −250.895 | + | 418.912i | −0.313619 | + | 0.523640i | ||||
\(801\) | 7.59744 | + | 4.38638i | 0.00948494 | + | 0.00547613i | ||||
\(802\) | 38.9889 | − | 359.855i | 0.0486146 | − | 0.448697i | ||||
\(803\) | 708.078 | + | 1226.43i | 0.881791 | + | 1.52731i | ||||
\(804\) | 46.1238 | + | 42.0686i | 0.0573679 | + | 0.0523241i | ||||
\(805\) | −485.800 | − | 944.909i | −0.603478 | − | 1.17380i | ||||
\(806\) | −201.720 | − | 457.007i | −0.250273 | − | 0.567007i | ||||
\(807\) | 26.1727 | + | 45.3325i | 0.0324321 | + | 0.0561741i | ||||
\(808\) | 148.945 | + | 168.654i | 0.184338 | + | 0.208730i | ||||
\(809\) | −565.950 | + | 980.254i | −0.699567 | + | 1.21169i | 0.269049 | + | 0.963126i | \(0.413291\pi\) |
−0.968617 | + | 0.248560i | \(0.920043\pi\) | |||||||
\(810\) | 607.250 | + | 444.174i | 0.749691 | + | 0.548362i | ||||
\(811\) | 481.066 | 0.593176 | 0.296588 | − | 0.955006i | \(-0.404151\pi\) | ||||
0.296588 | + | 0.955006i | \(0.404151\pi\) | |||||||
\(812\) | 121.993 | − | 450.297i | 0.150238 | − | 0.554553i | ||||
\(813\) | 28.1242i | 0.0345931i | ||||||||
\(814\) | −1014.45 | − | 742.021i | −1.24625 | − | 0.911573i | ||||
\(815\) | −1332.15 | − | 769.117i | −1.63454 | − | 0.943702i | ||||
\(816\) | 97.1199 | − | 210.818i | 0.119019 | − | 0.258356i | ||||
\(817\) | −474.423 | + | 273.908i | −0.580690 | + | 0.335261i | ||||
\(818\) | 289.806 | + | 656.570i | 0.354286 | + | 0.802653i | ||||
\(819\) | −1109.60 | − | 54.0983i | −1.35483 | − | 0.0660541i | ||||
\(820\) | −121.793 | − | 111.085i | −0.148528 | − | 0.135469i | ||||
\(821\) | −630.185 | + | 363.838i | −0.767582 | + | 0.443164i | −0.832011 | − | 0.554758i | \(-0.812811\pi\) |
0.0644292 | + | 0.997922i | \(0.479477\pi\) | |||||||
\(822\) | −49.6602 | + | 458.348i | −0.0604138 | + | 0.557601i | ||||
\(823\) | 313.323 | − | 542.692i | 0.380709 | − | 0.659407i | −0.610455 | − | 0.792051i | \(-0.709013\pi\) |
0.991164 | + | 0.132644i | \(0.0423468\pi\) | |||||||
\(824\) | 264.096 | + | 1304.01i | 0.320505 | + | 1.58253i | ||||
\(825\) | − | 183.673i | − | 0.222633i | ||||||
\(826\) | 119.434 | − | 756.224i | 0.144593 | − | 0.915526i | ||||
\(827\) | 1468.52i | 1.77572i | 0.460116 | + | 0.887859i | \(0.347808\pi\) | ||||
−0.460116 | + | 0.887859i | \(0.652192\pi\) | |||||||
\(828\) | 763.643 | + | 167.441i | 0.922274 | + | 0.202223i | ||||
\(829\) | −409.352 | + | 709.019i | −0.493790 | + | 0.855270i | −0.999974 | − | 0.00715566i | \(-0.997722\pi\) |
0.506184 | + | 0.862425i | \(0.331056\pi\) | |||||||
\(830\) | −49.6793 | + | 458.525i | −0.0598546 | + | 0.552439i | ||||
\(831\) | −280.969 | + | 162.218i | −0.338110 | + | 0.195208i | ||||
\(832\) | 991.498 | + | 749.915i | 1.19170 | + | 0.901341i | ||||
\(833\) | 75.9169 | − | 776.710i | 0.0911367 | − | 0.932425i | ||||
\(834\) | −81.9814 | + | 36.1861i | −0.0982990 | + | 0.0433886i | ||||
\(835\) | 330.306 | − | 190.702i | 0.395576 | − | 0.228386i | ||||
\(836\) | 828.899 | − | 263.463i | 0.991505 | − | 0.315147i | ||||
\(837\) | 174.165 | + | 100.554i | 0.208083 | + | 0.120137i | ||||
\(838\) | −1260.56 | − | 922.036i | −1.50424 | − | 1.10028i | ||||
\(839\) | − | 1108.84i | − | 1.32162i | −0.750555 | − | 0.660808i | \(-0.770214\pi\) | ||
0.750555 | − | 0.660808i | \(-0.229786\pi\) | |||||||
\(840\) | 202.173 | + | 252.734i | 0.240682 | + | 0.300874i | ||||
\(841\) | 563.386 | 0.669900 | ||||||||
\(842\) | 135.741 | − | 185.577i | 0.161212 | − | 0.220401i | ||||
\(843\) | 133.970 | − | 232.042i | 0.158920 | − | 0.275258i | ||||
\(844\) | −27.3258 | + | 8.68541i | −0.0323765 | + | 0.0102908i | ||||
\(845\) | 660.850 | + | 1144.63i | 0.782072 | + | 1.35459i | ||||
\(846\) | 144.547 | + | 327.479i | 0.170860 | + | 0.387091i | ||||
\(847\) | 374.943 | + | 18.2802i | 0.442672 | + | 0.0215823i | ||||
\(848\) | 592.443 | − | 54.5986i | 0.698636 | − | 0.0643852i | ||||
\(849\) | 189.005 | + | 327.366i | 0.222621 | + | 0.385590i | ||||
\(850\) | 483.236 | + | 52.3567i | 0.568513 | + | 0.0615961i | ||||
\(851\) | −985.191 | − | 568.800i | −1.15769 | − | 0.668390i | ||||
\(852\) | −114.087 | − | 25.0154i | −0.133905 | − | 0.0293608i | ||||
\(853\) | 610.400 | 0.715592 | 0.357796 | − | 0.933800i | \(-0.383528\pi\) | ||||
0.357796 | + | 0.933800i | \(0.383528\pi\) | |||||||
\(854\) | 111.525 | + | 90.2304i | 0.130592 | + | 0.105656i | ||||
\(855\) | 853.017 | 0.997680 | ||||||||
\(856\) | −313.757 | − | 1549.22i | −0.366539 | − | 1.80983i | ||||
\(857\) | 384.614 | + | 222.057i | 0.448791 | + | 0.259110i | 0.707319 | − | 0.706894i | \(-0.249904\pi\) |
−0.258529 | + | 0.966004i | \(0.583238\pi\) | |||||||
\(858\) | −464.891 | − | 50.3690i | −0.541830 | − | 0.0587052i | ||||
\(859\) | 40.7547 | + | 70.5892i | 0.0474443 | + | 0.0821760i | 0.888772 | − | 0.458349i | \(-0.151559\pi\) |
−0.841328 | + | 0.540525i | \(0.818226\pi\) | |||||||
\(860\) | 624.302 | + | 569.413i | 0.725932 | + | 0.662108i | ||||
\(861\) | −36.8299 | + | 18.9351i | −0.0427757 | + | 0.0219920i | ||||
\(862\) | 566.677 | − | 250.128i | 0.657398 | − | 0.290171i | ||||
\(863\) | 525.730 | + | 910.592i | 0.609189 | + | 1.05515i | 0.991374 | + | 0.131061i | \(0.0418384\pi\) |
−0.382185 | + | 0.924086i | \(0.624828\pi\) | |||||||
\(864\) | −500.410 | − | 8.02036i | −0.579178 | − | 0.00928283i | ||||
\(865\) | −442.134 | + | 765.799i | −0.511138 | + | 0.885317i | ||||
\(866\) | 703.462 | − | 961.734i | 0.812311 | − | 1.11055i | ||||
\(867\) | 32.1882 | 0.0371259 | ||||||||
\(868\) | −253.885 | − | 255.294i | −0.292495 | − | 0.294118i | ||||
\(869\) | 770.524i | 0.886679i | ||||||||
\(870\) | 113.701 | − | 155.446i | 0.130691 | − | 0.178674i | ||||
\(871\) | 288.230 | + | 166.409i | 0.330918 | + | 0.191056i | ||||
\(872\) | 69.0768 | − | 61.0046i | 0.0792165 | − | 0.0699594i | ||||
\(873\) | 1199.45 | − | 692.505i | 1.37395 | − | 0.793248i | ||||
\(874\) | 720.194 | − | 317.889i | 0.824020 | − | 0.363717i | ||||
\(875\) | 234.305 | − | 363.693i | 0.267777 | − | 0.415649i | ||||
\(876\) | −288.482 | − | 263.119i | −0.329318 | − | 0.300364i | ||||
\(877\) | 1350.68 | − | 779.814i | 1.54011 | − | 0.889183i | 0.541280 | − | 0.840842i | \(-0.317940\pi\) |
0.998831 | − | 0.0483410i | \(-0.0153934\pi\) | |||||||
\(878\) | −1604.41 | − | 173.831i | −1.82735 | − | 0.197986i | ||||
\(879\) | 168.767 | − | 292.312i | 0.191998 | − | 0.332551i | ||||
\(880\) | −774.568 | − | 1095.36i | −0.880190 | − | 1.24473i | ||||
\(881\) | − | 1515.22i | − | 1.71989i | −0.510389 | − | 0.859944i | \(-0.670499\pi\) | ||
0.510389 | − | 0.859944i | \(-0.329501\pi\) | |||||||
\(882\) | −760.487 | + | 250.534i | −0.862230 | + | 0.284052i | ||||
\(883\) | − | 763.828i | − | 0.865037i | −0.901625 | − | 0.432519i | \(-0.857625\pi\) | ||
0.901625 | − | 0.432519i | \(-0.142375\pi\) | |||||||
\(884\) | 265.038 | − | 1208.75i | 0.299817 | − | 1.36737i | ||||
\(885\) | 158.026 | − | 273.709i | 0.178561 | − | 0.309276i | ||||
\(886\) | −884.437 | − | 95.8252i | −0.998236 | − | 0.108155i | ||||
\(887\) | 496.554 | − | 286.686i | 0.559813 | − | 0.323208i | −0.193258 | − | 0.981148i | \(-0.561905\pi\) |
0.753070 | + | 0.657940i | \(0.228572\pi\) | |||||||
\(888\) | 328.528 | + | 110.249i | 0.369964 | + | 0.124154i | ||||
\(889\) | −266.381 | + | 413.481i | −0.299641 | + | 0.465108i | ||||
\(890\) | −5.50216 | − | 12.4654i | −0.00618221 | − | 0.0140061i | ||||
\(891\) | −678.496 | + | 391.730i | −0.761500 | + | 0.439652i | ||||
\(892\) | −1066.31 | + | 338.925i | −1.19542 | + | 0.379960i | ||||
\(893\) | 312.163 | + | 180.228i | 0.349567 | + | 0.201823i | ||||
\(894\) | −44.8416 | + | 61.3049i | −0.0501583 | + | 0.0685737i | ||||
\(895\) | 1851.01i | 2.06817i | ||||||||
\(896\) | 860.959 | + | 248.125i | 0.960892 | + | 0.276925i | ||||
\(897\) | −423.240 | −0.471840 | ||||||||
\(898\) | −423.614 | − | 309.853i | −0.471731 | − | 0.345048i | ||||
\(899\) | −107.125 | + | 185.546i | −0.119160 | + | 0.206391i | ||||
\(900\) | −151.062 | − | 475.266i | −0.167846 | − | 0.528073i | ||||
\(901\) | −296.115 | − | 512.887i | −0.328652 | − | 0.569242i | ||||
\(902\) | 157.041 | − | 69.3167i | 0.174103 | − | 0.0768477i | ||||
\(903\) | 188.787 | − | 97.0600i | 0.209067 | − | 0.107486i | ||||
\(904\) | −37.6452 | + | 112.178i | −0.0416430 | + | 0.124091i | ||||
\(905\) | 529.315 | + | 916.800i | 0.584878 | + | 1.01304i | ||||
\(906\) | 19.1576 | − | 176.818i | 0.0211452 | − | 0.195164i | ||||
\(907\) | 885.036 | + | 510.976i | 0.975784 | + | 0.563369i | 0.900995 | − | 0.433830i | \(-0.142838\pi\) |
0.0747894 | + | 0.997199i | \(0.476172\pi\) | |||||||
\(908\) | −1190.84 | − | 261.112i | −1.31150 | − | 0.287568i | ||||
\(909\) | −229.799 | −0.252804 | ||||||||
\(910\) | 1341.42 | + | 1085.29i | 1.47409 | + | 1.19262i | ||||
\(911\) | 630.111 | 0.691669 | 0.345835 | − | 0.938295i | \(-0.387596\pi\) | ||||
0.345835 | + | 0.938295i | \(0.387596\pi\) | |||||||
\(912\) | −195.797 | + | 138.455i | −0.214690 | + | 0.151814i | ||||
\(913\) | −415.930 | − | 240.137i | −0.455564 | − | 0.263020i | ||||
\(914\) | −83.9052 | + | 774.419i | −0.0918000 | + | 0.847285i | ||||
\(915\) | 29.6104 | + | 51.2868i | 0.0323611 | + | 0.0560511i | ||||
\(916\) | −1117.80 | + | 1225.55i | −1.22031 | + | 1.33794i | ||||
\(917\) | −993.725 | − | 48.4486i | −1.08367 | − | 0.0528339i | ||||
\(918\) | 201.170 | + | 455.760i | 0.219139 | + | 0.496471i | ||||
\(919\) | 421.489 | + | 730.041i | 0.458639 | + | 0.794386i | 0.998889 | − | 0.0471182i | \(-0.0150038\pi\) |
−0.540250 | + | 0.841504i | \(0.681670\pi\) | |||||||
\(920\) | −803.783 | − | 910.140i | −0.873677 | − | 0.989283i | ||||
\(921\) | 73.0182 | − | 126.471i | 0.0792814 | − | 0.137319i | ||||
\(922\) | −256.206 | − | 187.402i | −0.277881 | − | 0.203256i | ||||
\(923\) | −622.683 | −0.674630 | ||||||||
\(924\) | −325.785 | + | 86.3284i | −0.352581 | + | 0.0934290i | ||||
\(925\) | 725.668i | 0.784506i | ||||||||
\(926\) | 853.690 | + | 624.433i | 0.921911 | + | 0.674333i | ||||
\(927\) | −1176.76 | − | 679.405i | −1.26943 | − | 0.732907i | ||||
\(928\) | 8.54444 | − | 533.108i | 0.00920737 | − | 0.574470i | ||||
\(929\) | 670.867 | − | 387.325i | 0.722139 | − | 0.416927i | −0.0934003 | − | 0.995629i | \(-0.529774\pi\) |
0.815540 | + | 0.578701i | \(0.196440\pi\) | |||||||
\(930\) | −60.0190 | − | 135.976i | −0.0645366 | − | 0.146211i | ||||
\(931\) | −469.148 | + | 655.723i | −0.503918 | + | 0.704321i | ||||
\(932\) | −444.561 | + | 487.415i | −0.476997 | + | 0.522977i | ||||
\(933\) | −372.990 | + | 215.346i | −0.399774 | + | 0.230810i | ||||
\(934\) | −94.1214 | + | 868.712i | −0.100772 | + | 0.930098i | ||||
\(935\) | −667.708 | + | 1156.50i | −0.714126 | + | 1.23690i | ||||
\(936\) | −1244.36 | + | 252.016i | −1.32945 | + | 0.269248i | ||||
\(937\) | − | 1586.27i | − | 1.69293i | −0.532447 | − | 0.846463i | \(-0.678727\pi\) | ||
0.532447 | − | 0.846463i | \(-0.321273\pi\) | |||||||
\(938\) | 236.941 | + | 37.4212i | 0.252602 | + | 0.0398947i | ||||
\(939\) | 210.421i | 0.224090i | ||||||||
\(940\) | 119.079 | − | 543.079i | 0.126680 | − | 0.577744i | ||||
\(941\) | 410.023 | − | 710.181i | 0.435731 | − | 0.754708i | −0.561624 | − | 0.827393i | \(-0.689823\pi\) |
0.997355 | + | 0.0726842i | \(0.0231565\pi\) | |||||||
\(942\) | −5.52684 | + | 51.0110i | −0.00586713 | + | 0.0541518i | ||||
\(943\) | 134.554 | − | 77.6849i | 0.142687 | − | 0.0823805i | ||||
\(944\) | −80.2954 | − | 871.277i | −0.0850587 | − | 0.922963i | ||||
\(945\) | −693.821 | − | 33.8270i | −0.734202 | − | 0.0357957i | ||||
\(946\) | −804.977 | + | 355.312i | −0.850928 | + | 0.375594i | ||||
\(947\) | −551.949 | + | 318.668i | −0.582839 | + | 0.336502i | −0.762261 | − | 0.647270i | \(-0.775911\pi\) |
0.179422 | + | 0.983772i | \(0.442577\pi\) | |||||||
\(948\) | −64.3521 | − | 202.462i | −0.0678820 | − | 0.213568i | ||||
\(949\) | −1802.74 | − | 1040.81i | −1.89962 | − | 1.09675i | ||||
\(950\) | −405.316 | − | 296.469i | −0.426648 | − | 0.312072i | ||||
\(951\) | − | 205.234i | − | 0.215809i | ||||||
\(952\) | −134.261 | − | 881.736i | −0.141030 | − | 0.926193i | ||||
\(953\) | −350.626 | −0.367918 | −0.183959 | − | 0.982934i | \(-0.558891\pi\) | ||||
−0.183959 | + | 0.982934i | \(0.558891\pi\) | |||||||
\(954\) | −358.725 | + | 490.429i | −0.376022 | + | 0.514076i | ||||
\(955\) | −416.729 | + | 721.796i | −0.436365 | + | 0.755807i | ||||
\(956\) | −23.1647 | − | 72.8801i | −0.0242309 | − | 0.0762344i | ||||
\(957\) | 100.277 | + | 173.684i | 0.104782 | + | 0.181488i | ||||
\(958\) | −440.852 | − | 998.772i | −0.460179 | − | 1.04256i | ||||
\(959\) | 809.997 | + | 1575.49i | 0.844627 | + | 1.64285i | ||||
\(960\) | 295.007 | + | 223.127i | 0.307299 | + | 0.232424i | ||||
\(961\) | −397.826 | − | 689.055i | −0.413971 | − | 0.717019i | ||||
\(962\) | 1836.73 | + | 199.002i | 1.90928 | + | 0.206863i | ||||
\(963\) | 1398.04 | + | 807.161i | 1.45176 | + | 0.838174i | ||||
\(964\) | 300.113 | − | 1368.72i | 0.311320 | − | 1.41983i | ||||
\(965\) | 516.734 | 0.535475 | ||||||||
\(966\) | −284.739 | + | 109.444i | −0.294761 | + | 0.113296i | ||||
\(967\) | −649.816 | −0.671992 | −0.335996 | − | 0.941863i | \(-0.609073\pi\) | ||||
−0.335996 | + | 0.941863i | \(0.609073\pi\) | |||||||
\(968\) | 420.479 | − | 85.1582i | 0.434379 | − | 0.0879733i | ||||
\(969\) | 206.726 | + | 119.354i | 0.213340 | + | 0.123172i | ||||
\(970\) | −2138.66 | − | 231.716i | −2.20481 | − | 0.238882i | ||||
\(971\) | −485.305 | − | 840.573i | −0.499799 | − | 0.865677i | 0.500201 | − | 0.865909i | \(-0.333259\pi\) |
−1.00000 | 0.000232071i | \(0.999926\pi\) | ||||||||
\(972\) | 524.982 | − | 575.589i | 0.540105 | − | 0.592169i | ||||
\(973\) | −186.486 | + | 289.466i | −0.191660 | + | 0.297499i | ||||
\(974\) | 1186.06 | − | 523.519i | 1.21772 | − | 0.537494i | ||||
\(975\) | 134.991 | + | 233.811i | 0.138452 | + | 0.239807i | ||||
\(976\) | 148.907 | + | 68.5987i | 0.152569 | + | 0.0702856i | ||||
\(977\) | 300.437 | − | 520.373i | 0.307510 | − | 0.532623i | −0.670307 | − | 0.742084i | \(-0.733838\pi\) |
0.977817 | + | 0.209461i | \(0.0671709\pi\) | |||||||
\(978\) | −260.736 | + | 356.464i | −0.266601 | + | 0.364482i | ||||
\(979\) | 14.1890 | 0.0144934 | ||||||||
\(980\) | 1183.09 | + | 383.264i | 1.20724 | + | 0.391085i | ||||
\(981\) | 94.1205i | 0.0959434i | ||||||||
\(982\) | 864.396 | − | 1181.76i | 0.880241 | − | 1.20342i | ||||
\(983\) | 1098.66 | + | 634.311i | 1.11766 | + | 0.645281i | 0.940802 | − | 0.338955i | \(-0.110074\pi\) |
0.176857 | + | 0.984236i | \(0.443407\pi\) | |||||||
\(984\) | −35.4747 | + | 31.3292i | −0.0360516 | + | 0.0318386i | ||||
\(985\) | 11.5146 | − | 6.64797i | 0.0116900 | − | 0.00674921i | ||||
\(986\) | −485.541 | + | 214.315i | −0.492435 | + | 0.217358i | ||||
\(987\) | −117.417 | − | 75.6449i | −0.118964 | − | 0.0766413i | ||||
\(988\) | −861.537 | + | 944.586i | −0.872001 | + | 0.956059i | ||||
\(989\) | −689.714 | + | 398.207i | −0.697385 | + | 0.402636i | ||||
\(990\) | 1362.15 | + | 147.583i | 1.37591 | + | 0.149074i | ||||
\(991\) | 774.555 | − | 1341.57i | 0.781590 | − | 1.35375i | −0.149426 | − | 0.988773i | \(-0.547742\pi\) |
0.931015 | − | 0.364980i | \(-0.118924\pi\) | |||||||
\(992\) | −353.010 | − | 211.425i | −0.355857 | − | 0.213130i | ||||
\(993\) | 18.8538i | 0.0189867i | ||||||||
\(994\) | −418.916 | + | 161.018i | −0.421445 | + | 0.161990i | ||||
\(995\) | − | 805.464i | − | 0.809512i | ||||||
\(996\) | 129.345 | + | 28.3610i | 0.129864 | + | 0.0284749i | ||||
\(997\) | 470.469 | − | 814.876i | 0.471885 | − | 0.817328i | −0.527598 | − | 0.849494i | \(-0.676907\pi\) |
0.999483 | + | 0.0321661i | \(0.0102406\pi\) | |||||||
\(998\) | −53.0973 | − | 5.75288i | −0.0532037 | − | 0.00576441i | ||||
\(999\) | −644.116 | + | 371.881i | −0.644761 | + | 0.372253i |
(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 | 56.3.j.a.45.4 | yes | 28 | |
4.3 | odd | 2 | 224.3.n.a.17.9 | 28 | |||
7.2 | even | 3 | 392.3.j.e.117.6 | 28 | |||
7.3 | odd | 6 | 392.3.h.a.293.25 | 28 | |||
7.4 | even | 3 | 392.3.h.a.293.26 | 28 | |||
7.5 | odd | 6 | inner | 56.3.j.a.5.6 | yes | 28 | |
7.6 | odd | 2 | 392.3.j.e.325.4 | 28 | |||
8.3 | odd | 2 | 224.3.n.a.17.6 | 28 | |||
8.5 | even | 2 | inner | 56.3.j.a.45.6 | yes | 28 | |
28.3 | even | 6 | 1568.3.h.a.881.17 | 28 | |||
28.11 | odd | 6 | 1568.3.h.a.881.11 | 28 | |||
28.19 | even | 6 | 224.3.n.a.145.6 | 28 | |||
56.3 | even | 6 | 1568.3.h.a.881.12 | 28 | |||
56.5 | odd | 6 | inner | 56.3.j.a.5.4 | ✓ | 28 | |
56.11 | odd | 6 | 1568.3.h.a.881.18 | 28 | |||
56.13 | odd | 2 | 392.3.j.e.325.6 | 28 | |||
56.19 | even | 6 | 224.3.n.a.145.9 | 28 | |||
56.37 | even | 6 | 392.3.j.e.117.4 | 28 | |||
56.45 | odd | 6 | 392.3.h.a.293.28 | 28 | |||
56.53 | even | 6 | 392.3.h.a.293.27 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.j.a.5.4 | ✓ | 28 | 56.5 | odd | 6 | inner | |
56.3.j.a.5.6 | yes | 28 | 7.5 | odd | 6 | inner | |
56.3.j.a.45.4 | yes | 28 | 1.1 | even | 1 | trivial | |
56.3.j.a.45.6 | yes | 28 | 8.5 | even | 2 | inner | |
224.3.n.a.17.6 | 28 | 8.3 | odd | 2 | |||
224.3.n.a.17.9 | 28 | 4.3 | odd | 2 | |||
224.3.n.a.145.6 | 28 | 28.19 | even | 6 | |||
224.3.n.a.145.9 | 28 | 56.19 | even | 6 | |||
392.3.h.a.293.25 | 28 | 7.3 | odd | 6 | |||
392.3.h.a.293.26 | 28 | 7.4 | even | 3 | |||
392.3.h.a.293.27 | 28 | 56.53 | even | 6 | |||
392.3.h.a.293.28 | 28 | 56.45 | odd | 6 | |||
392.3.j.e.117.4 | 28 | 56.37 | even | 6 | |||
392.3.j.e.117.6 | 28 | 7.2 | even | 3 | |||
392.3.j.e.325.4 | 28 | 7.6 | odd | 2 | |||
392.3.j.e.325.6 | 28 | 56.13 | odd | 2 | |||
1568.3.h.a.881.11 | 28 | 28.11 | odd | 6 | |||
1568.3.h.a.881.12 | 28 | 56.3 | even | 6 | |||
1568.3.h.a.881.17 | 28 | 28.3 | even | 6 | |||
1568.3.h.a.881.18 | 28 | 56.11 | odd | 6 |