Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,3,Mod(10,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.k (of order \(18\), degree \(6\), 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: | \(1.55313750685\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 48 x^{16} + 936 x^{14} + 9539 x^{12} + 54576 x^{10} + 176517 x^{8} + 313396 x^{6} + 277917 x^{4} + \cdots + 8427 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 34.3 | ||
Root | \(3.54770i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 57.34 |
Dual form | 57.3.k.a.52.3 |
$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.21338 | − | 3.33374i | 0.606692 | − | 1.66687i | −0.130712 | − | 0.991420i | \(-0.541726\pi\) |
0.737404 | − | 0.675452i | \(-0.236051\pi\) | |||||||
\(3\) | −1.70574 | + | 0.300767i | −0.568579 | + | 0.100256i | ||||
\(4\) | −6.57738 | − | 5.51907i | −1.64434 | − | 1.37977i | ||||
\(5\) | −0.783175 | + | 0.657162i | −0.156635 | + | 0.131432i | −0.717737 | − | 0.696314i | \(-0.754822\pi\) |
0.561102 | + | 0.827747i | \(0.310378\pi\) | |||||||
\(6\) | −1.06703 | + | 6.05144i | −0.177839 | + | 1.00857i | ||||
\(7\) | 4.99091 | − | 8.64451i | 0.712987 | − | 1.23493i | −0.250743 | − | 0.968054i | \(-0.580675\pi\) |
0.963731 | − | 0.266877i | \(-0.0859916\pi\) | |||||||
\(8\) | −14.0905 | + | 8.13515i | −1.76131 | + | 1.01689i | ||||
\(9\) | 2.81908 | − | 1.02606i | 0.313231 | − | 0.114007i | ||||
\(10\) | 1.24052 | + | 3.40830i | 0.124052 | + | 0.340830i | ||||
\(11\) | 7.98270 | + | 13.8264i | 0.725700 | + | 1.25695i | 0.958685 | + | 0.284469i | \(0.0918172\pi\) |
−0.232986 | + | 0.972480i | \(0.574849\pi\) | |||||||
\(12\) | 12.8792 | + | 7.43583i | 1.07327 | + | 0.619652i | ||||
\(13\) | 16.0613 | + | 2.83203i | 1.23548 | + | 0.217849i | 0.752978 | − | 0.658046i | \(-0.228617\pi\) |
0.482503 | + | 0.875894i | \(0.339728\pi\) | |||||||
\(14\) | −22.7627 | − | 27.1275i | −1.62591 | − | 1.93768i | ||||
\(15\) | 1.13824 | − | 1.35650i | 0.0758825 | − | 0.0904333i | ||||
\(16\) | 4.05945 | + | 23.0223i | 0.253716 | + | 1.43889i | ||||
\(17\) | −10.7243 | − | 3.90334i | −0.630843 | − | 0.229608i | 0.00675521 | − | 0.999977i | \(-0.497850\pi\) |
−0.637598 | + | 0.770369i | \(0.720072\pi\) | |||||||
\(18\) | − | 10.6431i | − | 0.591283i | ||||||
\(19\) | −13.5828 | − | 13.2856i | −0.714884 | − | 0.699243i | ||||
\(20\) | 8.77816 | 0.438908 | ||||||||
\(21\) | −5.91319 | + | 16.2464i | −0.281581 | + | 0.773637i | ||||
\(22\) | 55.7799 | − | 9.83550i | 2.53545 | − | 0.447068i | ||||
\(23\) | 3.44165 | + | 2.88789i | 0.149637 | + | 0.125560i | 0.714533 | − | 0.699602i | \(-0.246639\pi\) |
−0.564896 | + | 0.825162i | \(0.691084\pi\) | |||||||
\(24\) | 21.5879 | − | 18.1144i | 0.899495 | − | 0.754766i | ||||
\(25\) | −4.15970 | + | 23.5908i | −0.166388 | + | 0.943634i | ||||
\(26\) | 28.9297 | − | 50.1078i | 1.11268 | − | 1.92722i | ||||
\(27\) | −4.50000 | + | 2.59808i | −0.166667 | + | 0.0962250i | ||||
\(28\) | −80.5368 | + | 29.3130i | −2.87631 | + | 1.04689i | ||||
\(29\) | 12.7897 | + | 35.1393i | 0.441023 | + | 1.21170i | 0.938820 | + | 0.344407i | \(0.111920\pi\) |
−0.497797 | + | 0.867293i | \(0.665858\pi\) | |||||||
\(30\) | −3.14110 | − | 5.44055i | −0.104703 | − | 0.181352i | ||||
\(31\) | 1.66652 | + | 0.962164i | 0.0537586 | + | 0.0310376i | 0.526638 | − | 0.850089i | \(-0.323452\pi\) |
−0.472880 | + | 0.881127i | \(0.656786\pi\) | |||||||
\(32\) | 17.5837 | + | 3.10048i | 0.549490 | + | 0.0968899i | ||||
\(33\) | −17.7749 | − | 21.1833i | −0.538634 | − | 0.641919i | ||||
\(34\) | −26.0255 | + | 31.0159i | −0.765455 | + | 0.912233i | ||||
\(35\) | 1.77209 | + | 10.0500i | 0.0506311 | + | 0.287143i | ||||
\(36\) | −24.2050 | − | 8.80991i | −0.672362 | − | 0.244720i | ||||
\(37\) | 23.7084i | 0.640767i | 0.947288 | + | 0.320383i | \(0.103812\pi\) | ||||
−0.947288 | + | 0.320383i | \(0.896188\pi\) | |||||||
\(38\) | −60.7720 | + | 29.1610i | −1.59926 | + | 0.767395i | ||||
\(39\) | −28.2481 | −0.724309 | ||||||||
\(40\) | 5.68921 | − | 15.6310i | 0.142230 | − | 0.390774i | ||||
\(41\) | −57.7632 | + | 10.1852i | −1.40886 | + | 0.248420i | −0.825778 | − | 0.563995i | \(-0.809264\pi\) |
−0.583080 | + | 0.812415i | \(0.698153\pi\) | |||||||
\(42\) | 46.9863 | + | 39.4262i | 1.11872 | + | 0.938718i | ||||
\(43\) | 61.4011 | − | 51.5217i | 1.42793 | − | 1.19818i | 0.481011 | − | 0.876715i | \(-0.340270\pi\) |
0.946922 | − | 0.321463i | \(-0.104175\pi\) | |||||||
\(44\) | 23.8039 | − | 134.999i | 0.540998 | − | 3.06815i | ||||
\(45\) | −1.53354 | + | 2.65618i | −0.0340788 | + | 0.0590261i | ||||
\(46\) | 13.8035 | − | 7.96947i | 0.300077 | − | 0.173249i | ||||
\(47\) | 41.7263 | − | 15.1871i | 0.887793 | − | 0.323130i | 0.142443 | − | 0.989803i | \(-0.454504\pi\) |
0.745350 | + | 0.666673i | \(0.232282\pi\) | |||||||
\(48\) | −13.8487 | − | 38.0490i | −0.288515 | − | 0.792688i | ||||
\(49\) | −25.3184 | − | 43.8527i | −0.516702 | − | 0.894954i | ||||
\(50\) | 73.5986 | + | 42.4921i | 1.47197 | + | 0.849843i | ||||
\(51\) | 19.4669 | + | 3.43254i | 0.381704 | + | 0.0673046i | ||||
\(52\) | −90.0107 | − | 107.271i | −1.73098 | − | 2.06290i | ||||
\(53\) | −39.0255 | + | 46.5088i | −0.736331 | + | 0.877525i | −0.996108 | − | 0.0881435i | \(-0.971907\pi\) |
0.259777 | + | 0.965669i | \(0.416351\pi\) | |||||||
\(54\) | 3.20110 | + | 18.1543i | 0.0592796 | + | 0.336191i | ||||
\(55\) | −15.3381 | − | 5.58260i | −0.278874 | − | 0.101502i | ||||
\(56\) | 162.407i | 2.90013i | ||||||||
\(57\) | 27.1646 | + | 18.5765i | 0.476571 | + | 0.325904i | ||||
\(58\) | 132.664 | 2.28732 | ||||||||
\(59\) | 9.63752 | − | 26.4789i | 0.163348 | − | 0.448794i | −0.830833 | − | 0.556522i | \(-0.812135\pi\) |
0.994180 | + | 0.107728i | \(0.0343576\pi\) | |||||||
\(60\) | −14.9732 | + | 2.64019i | −0.249554 | + | 0.0440031i | ||||
\(61\) | −29.6944 | − | 24.9166i | −0.486793 | − | 0.408468i | 0.366082 | − | 0.930583i | \(-0.380699\pi\) |
−0.852875 | + | 0.522114i | \(0.825143\pi\) | |||||||
\(62\) | 5.22974 | − | 4.38827i | 0.0843506 | − | 0.0707786i | ||||
\(63\) | 5.19998 | − | 29.4905i | 0.0825393 | − | 0.468104i | ||||
\(64\) | −15.0829 | + | 26.1244i | −0.235671 | + | 0.408194i | ||||
\(65\) | −14.4399 | + | 8.33687i | −0.222152 | + | 0.128260i | ||||
\(66\) | −92.1876 | + | 33.5536i | −1.39678 | + | 0.508387i | ||||
\(67\) | 1.49063 | + | 4.09547i | 0.0222482 | + | 0.0611265i | 0.950320 | − | 0.311276i | \(-0.100756\pi\) |
−0.928071 | + | 0.372402i | \(0.878534\pi\) | |||||||
\(68\) | 48.9952 | + | 84.8621i | 0.720517 | + | 1.24797i | ||||
\(69\) | −6.73914 | − | 3.89084i | −0.0976687 | − | 0.0563890i | ||||
\(70\) | 35.6544 | + | 6.28683i | 0.509348 | + | 0.0898118i | ||||
\(71\) | −13.1059 | − | 15.6190i | −0.184590 | − | 0.219986i | 0.665811 | − | 0.746120i | \(-0.268086\pi\) |
−0.850402 | + | 0.526134i | \(0.823641\pi\) | |||||||
\(72\) | −31.3750 | + | 37.3913i | −0.435764 | + | 0.519324i | ||||
\(73\) | −7.70563 | − | 43.7008i | −0.105557 | − | 0.598641i | −0.990997 | − | 0.133887i | \(-0.957254\pi\) |
0.885440 | − | 0.464754i | \(-0.153857\pi\) | |||||||
\(74\) | 79.0377 | + | 28.7674i | 1.06808 | + | 0.388748i | ||||
\(75\) | − | 41.4909i | − | 0.553212i | ||||||
\(76\) | 16.0148 | + | 162.349i | 0.210721 | + | 2.13617i | ||||
\(77\) | 159.364 | 2.06966 | ||||||||
\(78\) | −34.2757 | + | 94.1718i | −0.439433 | + | 1.20733i | ||||
\(79\) | −11.1783 | + | 1.97104i | −0.141498 | + | 0.0249499i | −0.243948 | − | 0.969788i | \(-0.578443\pi\) |
0.102451 | + | 0.994738i | \(0.467332\pi\) | |||||||
\(80\) | −18.3086 | − | 15.3628i | −0.228858 | − | 0.192035i | ||||
\(81\) | 6.89440 | − | 5.78509i | 0.0851160 | − | 0.0714208i | ||||
\(82\) | −36.1340 | + | 204.926i | −0.440659 | + | 2.49910i | ||||
\(83\) | −12.2598 | + | 21.2346i | −0.147708 | + | 0.255838i | −0.930380 | − | 0.366596i | \(-0.880523\pi\) |
0.782672 | + | 0.622435i | \(0.213856\pi\) | |||||||
\(84\) | 128.558 | − | 74.2231i | 1.53046 | − | 0.883609i | ||||
\(85\) | 10.9642 | − | 3.99063i | 0.128990 | − | 0.0469485i | ||||
\(86\) | −97.2569 | − | 267.211i | −1.13089 | − | 3.10711i | ||||
\(87\) | −32.3846 | − | 56.0917i | −0.372236 | − | 0.644732i | ||||
\(88\) | −224.960 | − | 129.881i | −2.55637 | − | 1.47592i | ||||
\(89\) | 26.3812 | + | 4.65172i | 0.296418 | + | 0.0522665i | 0.319879 | − | 0.947458i | \(-0.396358\pi\) |
−0.0234615 | + | 0.999725i | \(0.507469\pi\) | |||||||
\(90\) | 6.99424 | + | 8.33540i | 0.0777137 | + | 0.0926156i | ||||
\(91\) | 104.642 | − | 124.707i | 1.14991 | − | 1.37041i | ||||
\(92\) | −6.69857 | − | 37.9895i | −0.0728105 | − | 0.412929i | ||||
\(93\) | −3.13203 | − | 1.13997i | −0.0336777 | − | 0.0122577i | ||||
\(94\) | − | 157.533i | − | 1.67588i | ||||||
\(95\) | 19.3685 | + | 1.47888i | 0.203879 | + | 0.0155671i | ||||
\(96\) | −30.9257 | −0.322142 | ||||||||
\(97\) | −51.6283 | + | 141.847i | −0.532250 | + | 1.46234i | 0.324137 | + | 0.946010i | \(0.394926\pi\) |
−0.856387 | + | 0.516335i | \(0.827296\pi\) | |||||||
\(98\) | −176.915 | + | 31.1949i | −1.80525 | + | 0.318315i | ||||
\(99\) | 36.6906 | + | 30.7871i | 0.370612 | + | 0.310981i | ||||
\(100\) | 157.560 | − | 132.208i | 1.57560 | − | 1.32208i | ||||
\(101\) | 22.0058 | − | 124.801i | 0.217879 | − | 1.23565i | −0.657962 | − | 0.753051i | \(-0.728581\pi\) |
0.875840 | − | 0.482601i | \(-0.160308\pi\) | |||||||
\(102\) | 35.0640 | − | 60.7326i | 0.343765 | − | 0.595418i | ||||
\(103\) | −144.060 | + | 83.1729i | −1.39864 | + | 0.807504i | −0.994250 | − | 0.107084i | \(-0.965849\pi\) |
−0.404388 | + | 0.914588i | \(0.632515\pi\) | |||||||
\(104\) | −249.350 | + | 90.7559i | −2.39760 | + | 0.872653i | ||||
\(105\) | −6.04543 | − | 16.6097i | −0.0575755 | − | 0.158187i | ||||
\(106\) | 107.696 | + | 186.534i | 1.01600 | + | 1.75976i | ||||
\(107\) | −43.9158 | − | 25.3548i | −0.410428 | − | 0.236961i | 0.280545 | − | 0.959841i | \(-0.409485\pi\) |
−0.690974 | + | 0.722880i | \(0.742818\pi\) | |||||||
\(108\) | 43.9372 | + | 7.74731i | 0.406826 | + | 0.0717343i | ||||
\(109\) | 50.5226 | + | 60.2105i | 0.463510 | + | 0.552390i | 0.946276 | − | 0.323359i | \(-0.104812\pi\) |
−0.482766 | + | 0.875749i | \(0.660368\pi\) | |||||||
\(110\) | −37.2219 | + | 44.3593i | −0.338381 | + | 0.403267i | ||||
\(111\) | −7.13071 | − | 40.4402i | −0.0642406 | − | 0.364327i | ||||
\(112\) | 219.277 | + | 79.8102i | 1.95783 | + | 0.712592i | ||||
\(113\) | 20.7678i | 0.183786i | 0.995769 | + | 0.0918929i | \(0.0292917\pi\) | ||||
−0.995769 | + | 0.0918929i | \(0.970708\pi\) | |||||||
\(114\) | 94.8904 | − | 68.0192i | 0.832372 | − | 0.596660i | ||||
\(115\) | −4.59323 | −0.0399411 | ||||||||
\(116\) | 109.814 | − | 301.712i | 0.946673 | − | 2.60096i | ||||
\(117\) | 48.1838 | − | 8.49610i | 0.411827 | − | 0.0726162i | ||||
\(118\) | −76.5798 | − | 64.2581i | −0.648981 | − | 0.544560i | ||||
\(119\) | −87.2666 | + | 73.2254i | −0.733333 | + | 0.615339i | ||||
\(120\) | −5.00301 | + | 28.3735i | −0.0416917 | + | 0.236446i | ||||
\(121\) | −66.9469 | + | 115.955i | −0.553280 | + | 0.958310i | ||||
\(122\) | −119.096 | + | 68.7602i | −0.976198 | + | 0.563608i | ||||
\(123\) | 95.4654 | − | 34.7466i | 0.776142 | − | 0.282492i | ||||
\(124\) | −5.65106 | − | 15.5262i | −0.0455730 | − | 0.125211i | ||||
\(125\) | −25.0248 | − | 43.3442i | −0.200198 | − | 0.346753i | ||||
\(126\) | −92.0043 | − | 53.1187i | −0.730193 | − | 0.421577i | ||||
\(127\) | −20.2290 | − | 3.56692i | −0.159284 | − | 0.0280860i | 0.0934376 | − | 0.995625i | \(-0.470214\pi\) |
−0.252721 | + | 0.967539i | \(0.581326\pi\) | |||||||
\(128\) | 114.698 | + | 136.692i | 0.896082 | + | 1.06791i | ||||
\(129\) | −89.2381 | + | 106.350i | −0.691768 | + | 0.824417i | ||||
\(130\) | 10.2719 | + | 58.2547i | 0.0790144 | + | 0.448113i | ||||
\(131\) | −20.0866 | − | 7.31094i | −0.153333 | − | 0.0558087i | 0.264213 | − | 0.964464i | \(-0.414888\pi\) |
−0.417547 | + | 0.908656i | \(0.637110\pi\) | |||||||
\(132\) | 237.432i | 1.79873i | ||||||||
\(133\) | −182.638 | + | 51.1092i | −1.37322 | + | 0.384280i | ||||
\(134\) | 15.4620 | 0.115388 | ||||||||
\(135\) | 1.81693 | − | 4.99198i | 0.0134587 | − | 0.0369776i | ||||
\(136\) | 182.865 | − | 32.2441i | 1.34460 | − | 0.237089i | ||||
\(137\) | 86.4448 | + | 72.5358i | 0.630984 | + | 0.529458i | 0.901235 | − | 0.433332i | \(-0.142662\pi\) |
−0.270251 | + | 0.962790i | \(0.587107\pi\) | |||||||
\(138\) | −21.1482 | + | 17.7455i | −0.153248 | + | 0.128590i | ||||
\(139\) | 2.07102 | − | 11.7453i | 0.0148994 | − | 0.0844987i | −0.976451 | − | 0.215738i | \(-0.930784\pi\) |
0.991351 | + | 0.131239i | \(0.0418955\pi\) | |||||||
\(140\) | 43.8110 | − | 75.8829i | 0.312936 | − | 0.542021i | ||||
\(141\) | −66.6063 | + | 38.4551i | −0.472385 | + | 0.272731i | ||||
\(142\) | −67.9723 | + | 24.7399i | −0.478678 | + | 0.174225i | ||||
\(143\) | 89.0552 | + | 244.677i | 0.622764 | + | 1.71103i | ||||
\(144\) | 35.0662 | + | 60.7364i | 0.243515 | + | 0.421781i | ||||
\(145\) | −33.1088 | − | 19.1154i | −0.228336 | − | 0.131830i | ||||
\(146\) | −155.037 | − | 27.3372i | −1.06190 | − | 0.187241i | ||||
\(147\) | 56.3760 | + | 67.1863i | 0.383510 | + | 0.457050i | ||||
\(148\) | 130.848 | − | 155.939i | 0.884110 | − | 1.05364i | ||||
\(149\) | −46.5027 | − | 263.730i | −0.312098 | − | 1.77000i | −0.588048 | − | 0.808826i | \(-0.700103\pi\) |
0.275950 | − | 0.961172i | \(-0.411008\pi\) | |||||||
\(150\) | −138.320 | − | 50.3444i | −0.922134 | − | 0.335629i | ||||
\(151\) | − | 200.964i | − | 1.33089i | −0.746449 | − | 0.665443i | \(-0.768243\pi\) | ||
0.746449 | − | 0.665443i | \(-0.231757\pi\) | |||||||
\(152\) | 299.469 | + | 76.7029i | 1.97019 | + | 0.504624i | ||||
\(153\) | −34.2378 | −0.223776 | ||||||||
\(154\) | 193.369 | − | 531.278i | 1.25565 | − | 3.44986i | ||||
\(155\) | −1.93747 | + | 0.341629i | −0.0124998 | + | 0.00220406i | ||||
\(156\) | 185.798 | + | 155.903i | 1.19101 | + | 0.999379i | ||||
\(157\) | −9.96119 | + | 8.35843i | −0.0634471 | + | 0.0532384i | −0.673960 | − | 0.738768i | \(-0.735408\pi\) |
0.610513 | + | 0.792006i | \(0.290963\pi\) | |||||||
\(158\) | −6.99266 | + | 39.6573i | −0.0442573 | + | 0.250996i | ||||
\(159\) | 52.5790 | − | 91.0695i | 0.330685 | − | 0.572764i | ||||
\(160\) | −15.8086 | + | 9.12711i | −0.0988039 | + | 0.0570444i | ||||
\(161\) | 42.1414 | − | 15.3382i | 0.261748 | − | 0.0952684i | ||||
\(162\) | −10.9205 | − | 30.0037i | −0.0674102 | − | 0.185208i | ||||
\(163\) | 104.721 | + | 181.382i | 0.642460 | + | 1.11277i | 0.984882 | + | 0.173227i | \(0.0554195\pi\) |
−0.342422 | + | 0.939546i | \(0.611247\pi\) | |||||||
\(164\) | 436.143 | + | 251.807i | 2.65941 | + | 1.53541i | ||||
\(165\) | 27.8418 | + | 4.90925i | 0.168738 | + | 0.0297531i | ||||
\(166\) | 55.9148 | + | 66.6367i | 0.336836 | + | 0.401426i | ||||
\(167\) | 51.1326 | − | 60.9374i | 0.306183 | − | 0.364895i | −0.590909 | − | 0.806738i | \(-0.701231\pi\) |
0.897092 | + | 0.441843i | \(0.145675\pi\) | |||||||
\(168\) | −48.8468 | − | 277.024i | −0.290755 | − | 1.64895i | ||||
\(169\) | 91.1354 | + | 33.1706i | 0.539263 | + | 0.196276i | ||||
\(170\) | − | 41.3939i | − | 0.243493i | ||||||
\(171\) | −51.9228 | − | 23.5164i | −0.303642 | − | 0.137523i | ||||
\(172\) | −688.210 | −4.00122 | ||||||||
\(173\) | −33.3600 | + | 91.6558i | −0.192832 | + | 0.529802i | −0.997998 | − | 0.0632477i | \(-0.979854\pi\) |
0.805166 | + | 0.593050i | \(0.202076\pi\) | |||||||
\(174\) | −226.290 | + | 39.9011i | −1.30052 | + | 0.229317i | ||||
\(175\) | 183.171 | + | 153.698i | 1.04669 | + | 0.878277i | ||||
\(176\) | −285.911 | + | 239.908i | −1.62449 | + | 1.36311i | ||||
\(177\) | −8.47509 | + | 48.0646i | −0.0478819 | + | 0.271552i | ||||
\(178\) | 47.5182 | − | 82.3039i | 0.266956 | − | 0.462381i | ||||
\(179\) | −173.870 | + | 100.384i | −0.971341 | + | 0.560804i | −0.899645 | − | 0.436622i | \(-0.856175\pi\) |
−0.0716964 | + | 0.997427i | \(0.522841\pi\) | |||||||
\(180\) | 24.7463 | − | 9.00693i | 0.137480 | − | 0.0500385i | ||||
\(181\) | 29.0196 | + | 79.7307i | 0.160329 | + | 0.440501i | 0.993681 | − | 0.112242i | \(-0.0358032\pi\) |
−0.833352 | + | 0.552743i | \(0.813581\pi\) | |||||||
\(182\) | −288.772 | − | 500.167i | −1.58666 | − | 2.74817i | ||||
\(183\) | 58.1449 | + | 33.5700i | 0.317732 | + | 0.183443i | ||||
\(184\) | −71.9880 | − | 12.6934i | −0.391239 | − | 0.0689860i | ||||
\(185\) | −15.5802 | − | 18.5678i | −0.0842175 | − | 0.100367i | ||||
\(186\) | −7.60071 | + | 9.05817i | −0.0408640 | + | 0.0486998i | ||||
\(187\) | −31.6398 | − | 179.438i | −0.169197 | − | 0.959564i | ||||
\(188\) | −358.268 | − | 130.399i | −1.90568 | − | 0.693612i | ||||
\(189\) | 51.8671i | 0.274429i | ||||||||
\(190\) | 28.4316 | − | 62.7752i | 0.149640 | − | 0.330396i | ||||
\(191\) | −293.063 | −1.53436 | −0.767181 | − | 0.641430i | \(-0.778341\pi\) | ||||
−0.767181 | + | 0.641430i | \(0.778341\pi\) | |||||||
\(192\) | 17.8701 | − | 49.0978i | 0.0930737 | − | 0.255718i | ||||
\(193\) | 137.053 | − | 24.1661i | 0.710118 | − | 0.125213i | 0.193090 | − | 0.981181i | \(-0.438149\pi\) |
0.517029 | + | 0.855968i | \(0.327038\pi\) | |||||||
\(194\) | 410.238 | + | 344.231i | 2.11463 | + | 1.77439i | ||||
\(195\) | 22.1232 | − | 18.5636i | 0.113452 | − | 0.0951977i | ||||
\(196\) | −75.4979 | + | 428.170i | −0.385194 | + | 2.18454i | ||||
\(197\) | −62.7870 | + | 108.750i | −0.318716 | + | 0.552031i | −0.980220 | − | 0.197909i | \(-0.936585\pi\) |
0.661505 | + | 0.749941i | \(0.269918\pi\) | |||||||
\(198\) | 147.156 | − | 84.9606i | 0.743212 | − | 0.429094i | ||||
\(199\) | −27.1405 | + | 9.87834i | −0.136384 | + | 0.0496399i | −0.409311 | − | 0.912395i | \(-0.634231\pi\) |
0.272926 | + | 0.962035i | \(0.412009\pi\) | |||||||
\(200\) | −133.303 | − | 366.246i | −0.666514 | − | 1.83123i | ||||
\(201\) | −3.77441 | − | 6.53747i | −0.0187782 | − | 0.0325247i | ||||
\(202\) | −389.353 | − | 224.793i | −1.92749 | − | 1.11284i | ||||
\(203\) | 367.594 | + | 64.8168i | 1.81081 | + | 0.319295i | ||||
\(204\) | −109.097 | − | 130.016i | −0.534787 | − | 0.637335i | ||||
\(205\) | 38.5454 | − | 45.9366i | 0.188026 | − | 0.224081i | ||||
\(206\) | 102.478 | + | 581.179i | 0.497464 | + | 2.82126i | ||||
\(207\) | 12.6654 | + | 4.60984i | 0.0611857 | + | 0.0222698i | ||||
\(208\) | 381.263i | 1.83300i | ||||||||
\(209\) | 75.2655 | − | 293.857i | 0.360122 | − | 1.40601i | ||||
\(210\) | −62.7079 | −0.298609 | ||||||||
\(211\) | 29.4961 | − | 81.0398i | 0.139792 | − | 0.384075i | −0.849965 | − | 0.526839i | \(-0.823377\pi\) |
0.989757 | + | 0.142765i | \(0.0455992\pi\) | |||||||
\(212\) | 513.371 | − | 90.5212i | 2.42156 | − | 0.426987i | ||||
\(213\) | 27.0529 | + | 22.7001i | 0.127009 | + | 0.106573i | ||||
\(214\) | −137.813 | + | 115.639i | −0.643987 | + | 0.540369i | ||||
\(215\) | −14.2298 | + | 80.7010i | −0.0661849 | + | 0.375353i | ||||
\(216\) | 42.2715 | − | 73.2163i | 0.195701 | − | 0.338964i | ||||
\(217\) | 16.6349 | − | 9.60416i | 0.0766585 | − | 0.0442588i | ||||
\(218\) | 262.030 | − | 95.3710i | 1.20197 | − | 0.437482i | ||||
\(219\) | 26.2876 | + | 72.2245i | 0.120035 | + | 0.329792i | ||||
\(220\) | 70.0734 | + | 121.371i | 0.318516 | + | 0.551685i | ||||
\(221\) | −161.192 | − | 93.0641i | −0.729375 | − | 0.421105i | ||||
\(222\) | −143.470 | − | 25.2976i | −0.646260 | − | 0.113953i | ||||
\(223\) | −85.1319 | − | 101.456i | −0.381758 | − | 0.454961i | 0.540611 | − | 0.841273i | \(-0.318193\pi\) |
−0.922368 | + | 0.386312i | \(0.873749\pi\) | |||||||
\(224\) | 114.561 | − | 136.528i | 0.511432 | − | 0.609501i | ||||
\(225\) | 12.4791 | + | 70.7725i | 0.0554627 | + | 0.314545i | ||||
\(226\) | 69.2345 | + | 25.1993i | 0.306347 | + | 0.111501i | ||||
\(227\) | − | 391.425i | − | 1.72434i | −0.506620 | − | 0.862170i | \(-0.669105\pi\) | ||
0.506620 | − | 0.862170i | \(-0.330895\pi\) | |||||||
\(228\) | −76.1463 | − | 272.108i | −0.333975 | − | 1.19346i | ||||
\(229\) | 365.672 | 1.59682 | 0.798410 | − | 0.602114i | \(-0.205675\pi\) | ||||
0.798410 | + | 0.602114i | \(0.205675\pi\) | |||||||
\(230\) | −5.57335 | + | 15.3127i | −0.0242320 | + | 0.0665767i | ||||
\(231\) | −271.833 | + | 47.9314i | −1.17676 | + | 0.207495i | ||||
\(232\) | −466.076 | − | 391.084i | −2.00895 | − | 1.68571i | ||||
\(233\) | 153.160 | − | 128.516i | 0.657338 | − | 0.551572i | −0.251950 | − | 0.967740i | \(-0.581072\pi\) |
0.909288 | + | 0.416169i | \(0.136627\pi\) | |||||||
\(234\) | 30.1416 | − | 170.941i | 0.128810 | − | 0.730519i | ||||
\(235\) | −22.6986 | + | 39.3151i | −0.0965897 | + | 0.167298i | ||||
\(236\) | −209.528 | + | 120.971i | −0.887832 | + | 0.512590i | ||||
\(237\) | 18.4745 | − | 6.72416i | 0.0779513 | − | 0.0283720i | ||||
\(238\) | 138.227 | + | 379.775i | 0.580785 | + | 1.59569i | ||||
\(239\) | 44.7480 | + | 77.5058i | 0.187230 | + | 0.324292i | 0.944326 | − | 0.329012i | \(-0.106716\pi\) |
−0.757096 | + | 0.653304i | \(0.773382\pi\) | |||||||
\(240\) | 35.8503 | + | 20.6982i | 0.149376 | + | 0.0862425i | ||||
\(241\) | 32.7571 | + | 5.77596i | 0.135922 | + | 0.0239666i | 0.241195 | − | 0.970477i | \(-0.422461\pi\) |
−0.105273 | + | 0.994443i | \(0.533572\pi\) | |||||||
\(242\) | 305.334 | + | 363.882i | 1.26171 | + | 1.50365i | ||||
\(243\) | −10.0201 | + | 11.9415i | −0.0412348 | + | 0.0491418i | ||||
\(244\) | 57.7949 | + | 327.771i | 0.236864 | + | 1.34332i | ||||
\(245\) | 48.6471 | + | 17.7061i | 0.198560 | + | 0.0722698i | ||||
\(246\) | − | 360.418i | − | 1.46512i | ||||||
\(247\) | −180.531 | − | 251.851i | −0.730896 | − | 1.01964i | ||||
\(248\) | −31.3094 | −0.126248 | ||||||||
\(249\) | 14.5253 | − | 39.9079i | 0.0583345 | − | 0.160273i | ||||
\(250\) | −174.863 | + | 30.8331i | −0.699452 | + | 0.123332i | ||||
\(251\) | −33.0567 | − | 27.7379i | −0.131700 | − | 0.110509i | 0.574558 | − | 0.818464i | \(-0.305174\pi\) |
−0.706258 | + | 0.707954i | \(0.749618\pi\) | |||||||
\(252\) | −196.963 | + | 165.271i | −0.781598 | + | 0.655838i | ||||
\(253\) | −12.4556 | + | 70.6390i | −0.0492314 | + | 0.279205i | ||||
\(254\) | −36.4368 | + | 63.1104i | −0.143452 | + | 0.248466i | ||||
\(255\) | −17.5017 | + | 10.1046i | −0.0686342 | + | 0.0396260i | ||||
\(256\) | 481.484 | − | 175.246i | 1.88080 | − | 0.684554i | ||||
\(257\) | −122.511 | − | 336.597i | −0.476698 | − | 1.30972i | −0.912279 | − | 0.409568i | \(-0.865679\pi\) |
0.435581 | − | 0.900149i | \(-0.356543\pi\) | |||||||
\(258\) | 246.263 | + | 426.540i | 0.954508 | + | 1.65326i | ||||
\(259\) | 204.947 | + | 118.326i | 0.791302 | + | 0.456859i | ||||
\(260\) | 140.988 | + | 24.8600i | 0.542263 | + | 0.0956156i | ||||
\(261\) | 72.1101 | + | 85.9375i | 0.276284 | + | 0.329262i | ||||
\(262\) | −48.7456 | + | 58.0928i | −0.186052 | + | 0.221728i | ||||
\(263\) | −3.97326 | − | 22.5335i | −0.0151075 | − | 0.0856786i | 0.976322 | − | 0.216323i | \(-0.0694065\pi\) |
−0.991429 | + | 0.130644i | \(0.958295\pi\) | |||||||
\(264\) | 422.787 | + | 153.882i | 1.60147 | + | 0.582886i | ||||
\(265\) | − | 62.0707i | − | 0.234229i | ||||||
\(266\) | −51.2251 | + | 670.884i | −0.192576 | + | 2.52212i | ||||
\(267\) | −46.3985 | −0.173777 | ||||||||
\(268\) | 12.7988 | − | 35.1644i | 0.0477567 | − | 0.131210i | ||||
\(269\) | −273.842 | + | 48.2858i | −1.01800 | + | 0.179501i | −0.657656 | − | 0.753318i | \(-0.728452\pi\) |
−0.360345 | + | 0.932819i | \(0.617341\pi\) | |||||||
\(270\) | −14.4373 | − | 12.1144i | −0.0534716 | − | 0.0448680i | ||||
\(271\) | −230.500 | + | 193.413i | −0.850554 | + | 0.713700i | −0.959912 | − | 0.280303i | \(-0.909565\pi\) |
0.109357 | + | 0.994003i | \(0.465121\pi\) | |||||||
\(272\) | 46.3289 | − | 262.744i | 0.170327 | − | 0.965971i | ||||
\(273\) | −140.984 | + | 244.191i | −0.516423 | + | 0.894471i | ||||
\(274\) | 346.707 | − | 200.171i | 1.26535 | − | 0.730552i | ||||
\(275\) | −359.383 | + | 130.805i | −1.30685 | + | 0.475654i | ||||
\(276\) | 22.8520 | + | 62.7854i | 0.0827971 | + | 0.227483i | ||||
\(277\) | −91.7911 | − | 158.987i | −0.331376 | − | 0.573960i | 0.651406 | − | 0.758729i | \(-0.274179\pi\) |
−0.982782 | + | 0.184770i | \(0.940846\pi\) | |||||||
\(278\) | −36.6430 | − | 21.1558i | −0.131809 | − | 0.0761001i | ||||
\(279\) | 5.68528 | + | 1.00247i | 0.0203774 | + | 0.00359308i | ||||
\(280\) | −106.728 | − | 127.193i | −0.381171 | − | 0.454262i | ||||
\(281\) | 162.576 | − | 193.751i | 0.578563 | − | 0.689505i | −0.394801 | − | 0.918766i | \(-0.629187\pi\) |
0.973365 | + | 0.229261i | \(0.0736311\pi\) | |||||||
\(282\) | 47.3807 | + | 268.709i | 0.168017 | + | 0.952869i | ||||
\(283\) | 115.003 | + | 41.8575i | 0.406369 | + | 0.147906i | 0.537114 | − | 0.843510i | \(-0.319515\pi\) |
−0.130745 | + | 0.991416i | \(0.541737\pi\) | |||||||
\(284\) | 175.065i | 0.616425i | ||||||||
\(285\) | −33.4824 | + | 3.30284i | −0.117482 | + | 0.0115889i | ||||
\(286\) | 923.750 | 3.22989 | ||||||||
\(287\) | −200.245 | + | 550.168i | −0.697717 | + | 1.91696i | ||||
\(288\) | 52.7511 | − | 9.30143i | 0.183163 | − | 0.0322966i | ||||
\(289\) | −121.612 | − | 102.044i | −0.420801 | − | 0.353094i | ||||
\(290\) | −103.899 | + | 87.1819i | −0.358274 | + | 0.300627i | ||||
\(291\) | 45.4011 | − | 257.483i | 0.156018 | − | 0.884820i | ||||
\(292\) | −190.505 | + | 329.965i | −0.652415 | + | 1.13002i | ||||
\(293\) | −72.0299 | + | 41.5865i | −0.245836 | + | 0.141933i | −0.617856 | − | 0.786291i | \(-0.711999\pi\) |
0.372020 | + | 0.928225i | \(0.378665\pi\) | |||||||
\(294\) | 292.388 | − | 106.420i | 0.994516 | − | 0.361974i | ||||
\(295\) | 9.85304 | + | 27.0710i | 0.0334001 | + | 0.0917661i | ||||
\(296\) | −192.871 | − | 334.063i | −0.651591 | − | 1.12859i | ||||
\(297\) | −71.8443 | − | 41.4793i | −0.241900 | − | 0.139661i | ||||
\(298\) | −935.633 | − | 164.977i | −3.13971 | − | 0.553615i | ||||
\(299\) | 47.0987 | + | 56.1300i | 0.157521 | + | 0.187726i | ||||
\(300\) | −228.991 | + | 272.901i | −0.763304 | + | 0.909671i | ||||
\(301\) | −138.932 | − | 787.923i | −0.461568 | − | 2.61768i | ||||
\(302\) | −669.962 | − | 243.846i | −2.21842 | − | 0.807437i | ||||
\(303\) | 219.496i | 0.724410i | ||||||||
\(304\) | 250.727 | − | 366.639i | 0.824759 | − | 1.20605i | ||||
\(305\) | 39.6301 | 0.129935 | ||||||||
\(306\) | −41.5436 | + | 114.140i | −0.135763 | + | 0.373007i | ||||
\(307\) | 519.620 | − | 91.6230i | 1.69257 | − | 0.298446i | 0.757482 | − | 0.652856i | \(-0.226429\pi\) |
0.935090 | + | 0.354410i | \(0.115318\pi\) | |||||||
\(308\) | −1048.20 | − | 879.540i | −3.40323 | − | 2.85565i | ||||
\(309\) | 220.712 | − | 185.200i | 0.714279 | − | 0.599351i | ||||
\(310\) | −1.21200 | + | 6.87357i | −0.00390966 | + | 0.0221728i | ||||
\(311\) | −79.9706 | + | 138.513i | −0.257140 | + | 0.445380i | −0.965475 | − | 0.260497i | \(-0.916114\pi\) |
0.708334 | + | 0.705877i | \(0.249447\pi\) | |||||||
\(312\) | 398.029 | − | 229.802i | 1.27573 | − | 0.736545i | ||||
\(313\) | 13.0864 | − | 4.76307i | 0.0418097 | − | 0.0152175i | −0.321031 | − | 0.947069i | \(-0.604029\pi\) |
0.362840 | + | 0.931851i | \(0.381807\pi\) | |||||||
\(314\) | 15.7781 | + | 43.3501i | 0.0502488 | + | 0.138057i | ||||
\(315\) | 15.3076 | + | 26.5135i | 0.0485954 | + | 0.0841698i | ||||
\(316\) | 84.4024 | + | 48.7298i | 0.267096 | + | 0.154208i | ||||
\(317\) | 196.651 | + | 34.6748i | 0.620350 | + | 0.109384i | 0.474985 | − | 0.879994i | \(-0.342453\pi\) |
0.145364 | + | 0.989378i | \(0.453565\pi\) | |||||||
\(318\) | −239.804 | − | 285.787i | −0.754100 | − | 0.898702i | ||||
\(319\) | −383.756 | + | 457.342i | −1.20300 | + | 1.43367i | ||||
\(320\) | −5.35539 | − | 30.3719i | −0.0167356 | − | 0.0949122i | ||||
\(321\) | 82.5348 | + | 30.0402i | 0.257118 | + | 0.0935832i | ||||
\(322\) | − | 159.100i | − | 0.494099i | ||||||
\(323\) | 93.8081 | + | 195.498i | 0.290427 | + | 0.605256i | ||||
\(324\) | −77.2754 | −0.238504 | ||||||||
\(325\) | −133.620 | + | 367.118i | −0.411139 | + | 1.12959i | ||||
\(326\) | 731.748 | − | 129.027i | 2.24463 | − | 0.395788i | ||||
\(327\) | −104.288 | − | 87.5077i | −0.318922 | − | 0.267608i | ||||
\(328\) | 731.053 | − | 613.427i | 2.22882 | − | 1.87020i | ||||
\(329\) | 76.9669 | − | 436.501i | 0.233942 | − | 1.32675i | ||||
\(330\) | 50.1489 | − | 86.8605i | 0.151966 | − | 0.263214i | ||||
\(331\) | −207.487 | + | 119.793i | −0.626849 | + | 0.361911i | −0.779531 | − | 0.626364i | \(-0.784542\pi\) |
0.152682 | + | 0.988275i | \(0.451209\pi\) | |||||||
\(332\) | 197.832 | − | 72.0051i | 0.595881 | − | 0.216883i | ||||
\(333\) | 24.3262 | + | 66.8357i | 0.0730517 | + | 0.200708i | ||||
\(334\) | −141.106 | − | 244.403i | −0.422474 | − | 0.731747i | ||||
\(335\) | −3.85881 | − | 2.22789i | −0.0115188 | − | 0.00665041i | ||||
\(336\) | −398.033 | − | 70.1840i | −1.18462 | − | 0.208881i | ||||
\(337\) | 22.8834 | + | 27.2714i | 0.0679033 | + | 0.0809240i | 0.798927 | − | 0.601428i | \(-0.205401\pi\) |
−0.731023 | + | 0.682352i | \(0.760957\pi\) | |||||||
\(338\) | 221.165 | − | 263.574i | 0.654333 | − | 0.779804i | ||||
\(339\) | −6.24628 | − | 35.4244i | −0.0184256 | − | 0.104497i | ||||
\(340\) | −94.1399 | − | 34.2641i | −0.276882 | − | 0.100777i | ||||
\(341\) | 30.7227i | 0.0900958i | ||||||||
\(342\) | −141.400 | + | 144.563i | −0.413451 | + | 0.422699i | ||||
\(343\) | −16.3381 | −0.0476330 | ||||||||
\(344\) | −446.035 | + | 1225.47i | −1.29661 | + | 3.56242i | ||||
\(345\) | 7.83484 | − | 1.38149i | 0.0227097 | − | 0.00400433i | ||||
\(346\) | 265.079 | + | 222.427i | 0.766123 | + | 0.642854i | ||||
\(347\) | 459.724 | − | 385.754i | 1.32485 | − | 1.11168i | 0.339602 | − | 0.940569i | \(-0.389707\pi\) |
0.985251 | − | 0.171115i | \(-0.0547370\pi\) | |||||||
\(348\) | −96.5689 | + | 547.669i | −0.277497 | + | 1.57376i | ||||
\(349\) | −79.8550 | + | 138.313i | −0.228811 | + | 0.396312i | −0.957456 | − | 0.288579i | \(-0.906817\pi\) |
0.728645 | + | 0.684891i | \(0.240150\pi\) | |||||||
\(350\) | 734.648 | − | 424.149i | 2.09899 | − | 1.21185i | ||||
\(351\) | −79.6335 | + | 28.9842i | −0.226876 | + | 0.0825761i | ||||
\(352\) | 97.4967 | + | 267.870i | 0.276979 | + | 0.760994i | ||||
\(353\) | −82.7386 | − | 143.307i | −0.234387 | − | 0.405970i | 0.724707 | − | 0.689057i | \(-0.241975\pi\) |
−0.959094 | + | 0.283087i | \(0.908642\pi\) | |||||||
\(354\) | 149.952 | + | 86.5746i | 0.423592 | + | 0.244561i | ||||
\(355\) | 20.5285 | + | 3.61972i | 0.0578266 | + | 0.0101964i | ||||
\(356\) | −147.846 | − | 176.196i | −0.415297 | − | 0.494932i | ||||
\(357\) | 126.830 | − | 151.150i | 0.355266 | − | 0.423390i | ||||
\(358\) | 123.683 | + | 701.443i | 0.345484 | + | 1.95934i | ||||
\(359\) | −377.751 | − | 137.490i | −1.05223 | − | 0.382981i | −0.242728 | − | 0.970094i | \(-0.578042\pi\) |
−0.809505 | + | 0.587113i | \(0.800264\pi\) | |||||||
\(360\) | − | 49.9024i | − | 0.138618i | ||||||
\(361\) | 7.98444 | + | 360.912i | 0.0221176 | + | 0.999755i | ||||
\(362\) | 301.014 | 0.831530 | ||||||||
\(363\) | 79.3182 | − | 217.925i | 0.218507 | − | 0.600344i | ||||
\(364\) | −1376.54 | + | 242.721i | −3.78170 | + | 0.666815i | ||||
\(365\) | 34.7534 | + | 29.1615i | 0.0952147 | + | 0.0798946i | ||||
\(366\) | 182.466 | − | 153.107i | 0.498541 | − | 0.418325i | ||||
\(367\) | 105.895 | − | 600.560i | 0.288542 | − | 1.63640i | −0.403810 | − | 0.914843i | \(-0.632314\pi\) |
0.692352 | − | 0.721560i | \(-0.256575\pi\) | |||||||
\(368\) | −52.5146 | + | 90.9580i | −0.142703 | + | 0.247168i | ||||
\(369\) | −152.388 | + | 87.9814i | −0.412976 | + | 0.238432i | ||||
\(370\) | −80.8051 | + | 29.4107i | −0.218392 | + | 0.0794883i | ||||
\(371\) | 207.273 | + | 569.478i | 0.558688 | + | 1.53498i | ||||
\(372\) | 14.3090 | + | 24.7839i | 0.0384650 | + | 0.0666233i | ||||
\(373\) | 223.510 | + | 129.043i | 0.599221 | + | 0.345961i | 0.768735 | − | 0.639567i | \(-0.220886\pi\) |
−0.169514 | + | 0.985528i | \(0.554220\pi\) | |||||||
\(374\) | −636.593 | − | 112.249i | −1.70212 | − | 0.300130i | ||||
\(375\) | 55.7222 | + | 66.4071i | 0.148592 | + | 0.177086i | ||||
\(376\) | −464.394 | + | 553.443i | −1.23509 | + | 1.47192i | ||||
\(377\) | 105.902 | + | 600.602i | 0.280908 | + | 1.59311i | ||||
\(378\) | 172.912 | + | 62.9347i | 0.457438 | + | 0.166494i | ||||
\(379\) | 399.201i | 1.05330i | 0.850082 | + | 0.526650i | \(0.176552\pi\) | ||||
−0.850082 | + | 0.526650i | \(0.823448\pi\) | |||||||
\(380\) | −119.232 | − | 116.623i | −0.313768 | − | 0.306904i | ||||
\(381\) | 35.5782 | 0.0933812 | ||||||||
\(382\) | −355.598 | + | 976.998i | −0.930885 | + | 2.55759i | ||||
\(383\) | −198.459 | + | 34.9937i | −0.518169 | + | 0.0913672i | −0.426616 | − | 0.904433i | \(-0.640294\pi\) |
−0.0915535 | + | 0.995800i | \(0.529183\pi\) | |||||||
\(384\) | −236.758 | − | 198.664i | −0.616557 | − | 0.517353i | ||||
\(385\) | −124.810 | + | 104.728i | −0.324181 | + | 0.272020i | ||||
\(386\) | 85.7341 | − | 486.222i | 0.222109 | − | 1.25964i | ||||
\(387\) | 120.230 | − | 208.245i | 0.310672 | − | 0.538100i | ||||
\(388\) | 1122.45 | − | 648.044i | 2.89290 | − | 1.67022i | ||||
\(389\) | 602.383 | − | 219.250i | 1.54854 | − | 0.563624i | 0.580468 | − | 0.814283i | \(-0.302870\pi\) |
0.968075 | + | 0.250659i | \(0.0806474\pi\) | |||||||
\(390\) | −35.0422 | − | 96.2778i | −0.0898519 | − | 0.246866i | ||||
\(391\) | −25.6370 | − | 44.4046i | −0.0655678 | − | 0.113567i | ||||
\(392\) | 713.497 | + | 411.938i | 1.82015 | + | 1.05086i | ||||
\(393\) | 36.4614 | + | 6.42913i | 0.0927772 | + | 0.0163591i | ||||
\(394\) | 286.361 | + | 341.271i | 0.726804 | + | 0.866171i | ||||
\(395\) | 7.45930 | − | 8.88965i | 0.0188843 | − | 0.0225054i | ||||
\(396\) | −71.4118 | − | 404.996i | −0.180333 | − | 1.02272i | ||||
\(397\) | 445.960 | + | 162.316i | 1.12332 | + | 0.408857i | 0.835865 | − | 0.548936i | \(-0.184967\pi\) |
0.287460 | + | 0.957793i | \(0.407189\pi\) | |||||||
\(398\) | 102.466i | 0.257452i | ||||||||
\(399\) | 296.161 | − | 142.111i | 0.742258 | − | 0.356167i | ||||
\(400\) | −560.002 | −1.40000 | ||||||||
\(401\) | 186.834 | − | 513.323i | 0.465921 | − | 1.28011i | −0.455046 | − | 0.890468i | \(-0.650377\pi\) |
0.920967 | − | 0.389640i | \(-0.127401\pi\) | |||||||
\(402\) | −26.3741 | + | 4.65046i | −0.0656071 | + | 0.0115683i | ||||
\(403\) | 24.0415 | + | 20.1732i | 0.0596563 | + | 0.0500576i | ||||
\(404\) | −833.526 | + | 699.411i | −2.06318 | + | 1.73122i | ||||
\(405\) | −1.59778 | + | 9.06147i | −0.00394514 | + | 0.0223740i | ||||
\(406\) | 662.116 | − | 1146.82i | 1.63083 | − | 2.82468i | ||||
\(407\) | −327.802 | + | 189.257i | −0.805411 | + | 0.465004i | ||||
\(408\) | −302.222 | + | 110.000i | −0.740740 | + | 0.269607i | ||||
\(409\) | −10.2239 | − | 28.0899i | −0.0249973 | − | 0.0686795i | 0.926566 | − | 0.376131i | \(-0.122746\pi\) |
−0.951564 | + | 0.307452i | \(0.900524\pi\) | |||||||
\(410\) | −106.370 | − | 184.239i | −0.259440 | − | 0.449364i | ||||
\(411\) | −169.269 | − | 97.7272i | −0.411846 | − | 0.237779i | ||||
\(412\) | 1406.57 | + | 248.017i | 3.41401 | + | 0.601982i | ||||
\(413\) | −180.797 | − | 215.465i | −0.437765 | − | 0.521708i | ||||
\(414\) | 30.7361 | − | 36.6298i | 0.0742417 | − | 0.0884778i | ||||
\(415\) | −4.35299 | − | 24.6871i | −0.0104891 | − | 0.0594869i | ||||
\(416\) | 273.635 | + | 99.5951i | 0.657777 | + | 0.239411i | ||||
\(417\) | 20.6573i | 0.0495380i | ||||||||
\(418\) | −888.317 | − | 607.477i | −2.12516 | − | 1.45329i | ||||
\(419\) | 472.296 | 1.12720 | 0.563599 | − | 0.826048i | \(-0.309416\pi\) | ||||
0.563599 | + | 0.826048i | \(0.309416\pi\) | |||||||
\(420\) | −51.9070 | + | 142.613i | −0.123588 | + | 0.339555i | ||||
\(421\) | −243.646 | + | 42.9614i | −0.578732 | + | 0.102046i | −0.455349 | − | 0.890313i | \(-0.650485\pi\) |
−0.123383 | + | 0.992359i | \(0.539374\pi\) | |||||||
\(422\) | −234.376 | − | 196.665i | −0.555393 | − | 0.466030i | ||||
\(423\) | 102.047 | − | 85.6273i | 0.241245 | − | 0.202429i | ||||
\(424\) | 171.533 | − | 972.811i | 0.404558 | − | 2.29436i | ||||
\(425\) | 136.693 | − | 236.759i | 0.321631 | − | 0.557081i | ||||
\(426\) | 108.502 | − | 62.6437i | 0.254699 | − | 0.147051i | ||||
\(427\) | −363.594 | + | 132.337i | −0.851507 | + | 0.309923i | ||||
\(428\) | 148.916 | + | 409.143i | 0.347934 | + | 0.955941i | ||||
\(429\) | −225.496 | − | 390.570i | −0.525631 | − | 0.910420i | ||||
\(430\) | 251.770 | + | 145.360i | 0.585512 | + | 0.338046i | ||||
\(431\) | 95.1023 | + | 16.7691i | 0.220655 | + | 0.0389074i | 0.282883 | − | 0.959155i | \(-0.408709\pi\) |
−0.0622276 | + | 0.998062i | \(0.519820\pi\) | |||||||
\(432\) | −78.0812 | − | 93.0536i | −0.180744 | − | 0.215402i | ||||
\(433\) | 180.068 | − | 214.597i | 0.415862 | − | 0.495605i | −0.516926 | − | 0.856030i | \(-0.672924\pi\) |
0.932788 | + | 0.360425i | \(0.117368\pi\) | |||||||
\(434\) | −11.8333 | − | 67.1100i | −0.0272657 | − | 0.154631i | ||||
\(435\) | 62.2241 | + | 22.6477i | 0.143044 | + | 0.0520638i | ||||
\(436\) | − | 674.865i | − | 1.54786i | ||||||
\(437\) | −8.37984 | − | 84.9501i | −0.0191758 | − | 0.194394i | ||||
\(438\) | 272.675 | 0.622545 | ||||||||
\(439\) | −102.556 | + | 281.771i | −0.233613 | + | 0.641847i | −1.00000 | 0.000532782i | \(-0.999830\pi\) | |
0.766387 | + | 0.642379i | \(0.222053\pi\) | |||||||
\(440\) | 261.536 | − | 46.1158i | 0.594400 | − | 0.104809i | ||||
\(441\) | −116.370 | − | 97.6461i | −0.263878 | − | 0.221420i | ||||
\(442\) | −505.840 | + | 424.450i | −1.14443 | + | 0.960294i | ||||
\(443\) | −126.602 | + | 717.993i | −0.285782 | + | 1.62075i | 0.416695 | + | 0.909046i | \(0.363188\pi\) |
−0.702478 | + | 0.711706i | \(0.747923\pi\) | |||||||
\(444\) | −176.291 | + | 305.346i | −0.397053 | + | 0.687715i | ||||
\(445\) | −23.7180 | + | 13.6936i | −0.0532989 | + | 0.0307722i | ||||
\(446\) | −441.527 | + | 160.703i | −0.989971 | + | 0.360320i | ||||
\(447\) | 158.643 | + | 435.867i | 0.354905 | + | 0.975094i | ||||
\(448\) | 150.555 | + | 260.769i | 0.336061 | + | 0.582074i | ||||
\(449\) | 277.240 | + | 160.064i | 0.617460 | + | 0.356491i | 0.775880 | − | 0.630881i | \(-0.217306\pi\) |
−0.158419 | + | 0.987372i | \(0.550640\pi\) | |||||||
\(450\) | 251.080 | + | 44.2721i | 0.557955 | + | 0.0983824i | ||||
\(451\) | −601.931 | − | 717.354i | −1.33466 | − | 1.59058i | ||||
\(452\) | 114.619 | − | 136.598i | 0.253582 | − | 0.302207i | ||||
\(453\) | 60.4433 | + | 342.791i | 0.133429 | + | 0.756713i | ||||
\(454\) | −1304.91 | − | 474.949i | −2.87425 | − | 1.04614i | ||||
\(455\) | 166.434i | 0.365790i | ||||||||
\(456\) | −533.884 | − | 40.7646i | −1.17080 | − | 0.0893960i | ||||
\(457\) | −908.574 | −1.98813 | −0.994063 | − | 0.108804i | \(-0.965298\pi\) | ||||
−0.994063 | + | 0.108804i | \(0.965298\pi\) | |||||||
\(458\) | 443.700 | − | 1219.06i | 0.968778 | − | 2.66170i | ||||
\(459\) | 58.4007 | − | 10.2976i | 0.127235 | − | 0.0224349i | ||||
\(460\) | 30.2114 | + | 25.3504i | 0.0656769 | + | 0.0551095i | ||||
\(461\) | −387.988 | + | 325.560i | −0.841622 | + | 0.706205i | −0.957928 | − | 0.287009i | \(-0.907339\pi\) |
0.116306 | + | 0.993213i | \(0.462895\pi\) | |||||||
\(462\) | −170.046 | + | 964.380i | −0.368065 | + | 2.08740i | ||||
\(463\) | −106.249 | + | 184.028i | −0.229479 | + | 0.397469i | −0.957654 | − | 0.287922i | \(-0.907036\pi\) |
0.728175 | + | 0.685391i | \(0.240369\pi\) | |||||||
\(464\) | −757.069 | + | 437.094i | −1.63161 | + | 0.942013i | ||||
\(465\) | 3.20207 | − | 1.16546i | 0.00688617 | − | 0.00250636i | ||||
\(466\) | −242.599 | − | 666.535i | −0.520598 | − | 1.43033i | ||||
\(467\) | −98.0696 | − | 169.862i | −0.209999 | − | 0.363729i | 0.741715 | − | 0.670715i | \(-0.234013\pi\) |
−0.951714 | + | 0.306986i | \(0.900679\pi\) | |||||||
\(468\) | −363.813 | − | 210.048i | −0.777379 | − | 0.448820i | ||||
\(469\) | 42.8430 | + | 7.55437i | 0.0913496 | + | 0.0161074i | ||||
\(470\) | 103.524 | + | 123.376i | 0.220265 | + | 0.262501i | ||||
\(471\) | 14.4772 | − | 17.2533i | 0.0307372 | − | 0.0366312i | ||||
\(472\) | 79.6121 | + | 451.503i | 0.168670 | + | 0.956574i | ||||
\(473\) | 1202.51 | + | 437.677i | 2.54230 | + | 0.925321i | ||||
\(474\) | − | 69.7482i | − | 0.147148i | ||||||
\(475\) | 369.919 | − | 265.165i | 0.778778 | − | 0.558243i | ||||
\(476\) | 978.122 | 2.05488 | ||||||||
\(477\) | −62.2952 | + | 171.155i | −0.130598 | + | 0.358815i | ||||
\(478\) | 312.681 | − | 55.1341i | 0.654145 | − | 0.115343i | ||||
\(479\) | −337.873 | − | 283.509i | −0.705371 | − | 0.591877i | 0.217925 | − | 0.975966i | \(-0.430071\pi\) |
−0.923296 | + | 0.384089i | \(0.874516\pi\) | |||||||
\(480\) | 24.2202 | − | 20.3232i | 0.0504588 | − | 0.0423399i | ||||
\(481\) | −67.1429 | + | 380.786i | −0.139590 | + | 0.791655i | ||||
\(482\) | 59.0025 | − | 102.195i | 0.122412 | − | 0.212024i | ||||
\(483\) | −67.2689 | + | 38.8377i | −0.139273 | + | 0.0804093i | ||||
\(484\) | 1080.30 | − | 393.198i | 2.23203 | − | 0.812392i | ||||
\(485\) | −52.7828 | − | 145.020i | −0.108830 | − | 0.299009i | ||||
\(486\) | 27.6516 | + | 47.8939i | 0.0568962 | + | 0.0985471i | ||||
\(487\) | 692.103 | + | 399.586i | 1.42116 | + | 0.820505i | 0.996398 | − | 0.0848026i | \(-0.0270260\pi\) |
0.424758 | + | 0.905307i | \(0.360359\pi\) | |||||||
\(488\) | 621.108 | + | 109.518i | 1.27276 | + | 0.224422i | ||||
\(489\) | −233.180 | − | 277.893i | −0.476851 | − | 0.568289i | ||||
\(490\) | 118.055 | − | 140.693i | 0.240929 | − | 0.287128i | ||||
\(491\) | 67.6116 | + | 383.444i | 0.137702 | + | 0.780946i | 0.972940 | + | 0.231058i | \(0.0742186\pi\) |
−0.835238 | + | 0.549888i | \(0.814670\pi\) | |||||||
\(492\) | −819.681 | − | 298.340i | −1.66602 | − | 0.606381i | ||||
\(493\) | − | 426.768i | − | 0.865655i | ||||||
\(494\) | −1058.66 | + | 296.254i | −2.14304 | + | 0.599704i | ||||
\(495\) | −48.9673 | −0.0989238 | ||||||||
\(496\) | −15.3861 | + | 42.2729i | −0.0310203 | + | 0.0852277i | ||||
\(497\) | −200.429 | + | 35.3411i | −0.403278 | + | 0.0711088i | ||||
\(498\) | −115.418 | − | 96.8473i | −0.231763 | − | 0.194472i | ||||
\(499\) | −56.6708 | + | 47.5524i | −0.113569 | + | 0.0952954i | −0.697804 | − | 0.716289i | \(-0.745839\pi\) |
0.584235 | + | 0.811585i | \(0.301395\pi\) | |||||||
\(500\) | −74.6224 | + | 423.204i | −0.149245 | + | 0.846409i | ||||
\(501\) | −68.8907 | + | 119.322i | −0.137506 | + | 0.238168i | ||||
\(502\) | −132.581 | + | 76.5459i | −0.264107 | + | 0.152482i | ||||
\(503\) | −185.340 | + | 67.4583i | −0.368469 | + | 0.134112i | −0.519617 | − | 0.854399i | \(-0.673925\pi\) |
0.151148 | + | 0.988511i | \(0.451703\pi\) | |||||||
\(504\) | 166.640 | + | 457.838i | 0.330634 | + | 0.908410i | ||||
\(505\) | 64.7800 | + | 112.202i | 0.128277 | + | 0.222183i | ||||
\(506\) | 220.379 | + | 127.236i | 0.435531 | + | 0.251454i | ||||
\(507\) | −165.430 | − | 29.1697i | −0.326291 | − | 0.0575340i | ||||
\(508\) | 113.368 | + | 135.107i | 0.223165 | + | 0.265958i | ||||
\(509\) | −469.429 | + | 559.443i | −0.922257 | + | 1.09910i | 0.0725543 | + | 0.997364i | \(0.476885\pi\) |
−0.994811 | + | 0.101739i | \(0.967559\pi\) | |||||||
\(510\) | 12.4499 | + | 70.6070i | 0.0244116 | + | 0.138445i | ||||
\(511\) | −416.230 | − | 151.495i | −0.814541 | − | 0.296469i | ||||
\(512\) | − | 1104.03i | − | 2.15631i | ||||||
\(513\) | 95.6396 | + | 24.4962i | 0.186432 | + | 0.0477508i | ||||
\(514\) | −1270.78 | −2.47234 | ||||||||
\(515\) | 58.1659 | − | 159.810i | 0.112944 | − | 0.310310i | ||||
\(516\) | 1173.91 | − | 206.991i | 2.27501 | − | 0.401146i | ||||
\(517\) | 543.072 | + | 455.691i | 1.05043 | + | 0.881415i | ||||
\(518\) | 643.150 | − | 539.667i | 1.24160 | − | 1.04183i | ||||
\(519\) | 29.3363 | − | 166.374i | 0.0565246 | − | 0.320567i | ||||
\(520\) | 135.643 | − | 234.941i | 0.260852 | − | 0.451810i | ||||
\(521\) | −308.060 | + | 177.858i | −0.591285 | + | 0.341379i | −0.765606 | − | 0.643310i | \(-0.777561\pi\) |
0.174320 | + | 0.984689i | \(0.444227\pi\) | |||||||
\(522\) | 373.991 | − | 136.122i | 0.716458 | − | 0.260769i | ||||
\(523\) | −87.3739 | − | 240.058i | −0.167063 | − | 0.459002i | 0.827705 | − | 0.561164i | \(-0.189646\pi\) |
−0.994768 | + | 0.102162i | \(0.967424\pi\) | |||||||
\(524\) | 91.7678 | + | 158.947i | 0.175129 | + | 0.303333i | ||||
\(525\) | −358.668 | − | 207.077i | −0.683178 | − | 0.394433i | ||||
\(526\) | −79.9420 | − | 14.0959i | −0.151981 | − | 0.0267983i | ||||
\(527\) | −14.1166 | − | 16.8235i | −0.0267868 | − | 0.0319232i | ||||
\(528\) | 415.532 | − | 495.212i | 0.786993 | − | 0.937902i | ||||
\(529\) | −88.3548 | − | 501.085i | −0.167022 | − | 0.947231i | ||||
\(530\) | −206.928 | − | 75.3156i | −0.390430 | − | 0.142105i | ||||
\(531\) | − | 84.5347i | − | 0.159199i | ||||||
\(532\) | 1483.36 | + | 671.829i | 2.78826 | + | 1.26284i | ||||
\(533\) | −956.594 | −1.79474 | ||||||||
\(534\) | −56.2992 | + | 154.681i | −0.105429 | + | 0.289664i | ||||
\(535\) | 51.0560 | − | 9.00255i | 0.0954318 | − | 0.0168272i | ||||
\(536\) | −54.3210 | − | 45.5807i | −0.101345 | − | 0.0850387i | ||||
\(537\) | 266.384 | − | 223.523i | 0.496060 | − | 0.416244i | ||||
\(538\) | −171.303 | + | 971.510i | −0.318408 | + | 1.80578i | ||||
\(539\) | 404.218 | − | 700.126i | 0.749941 | − | 1.29894i | ||||
\(540\) | −39.5017 | + | 22.8063i | −0.0731514 | + | 0.0422340i | ||||
\(541\) | −630.828 | + | 229.603i | −1.16604 | + | 0.424404i | −0.851252 | − | 0.524757i | \(-0.824156\pi\) |
−0.314789 | + | 0.949162i | \(0.601934\pi\) | |||||||
\(542\) | 365.103 | + | 1003.11i | 0.673622 | + | 1.85076i | ||||
\(543\) | −73.4803 | − | 127.272i | −0.135323 | − | 0.234386i | ||||
\(544\) | −176.471 | − | 101.886i | −0.324395 | − | 0.187290i | ||||
\(545\) | −79.1361 | − | 13.9538i | −0.145204 | − | 0.0256034i | ||||
\(546\) | 643.002 | + | 766.300i | 1.17766 | + | 1.40348i | ||||
\(547\) | 598.279 | − | 713.001i | 1.09375 | − | 1.30348i | 0.144304 | − | 0.989533i | \(-0.453906\pi\) |
0.949442 | − | 0.313942i | \(-0.101650\pi\) | |||||||
\(548\) | −168.250 | − | 954.191i | −0.307025 | − | 1.74122i | ||||
\(549\) | −109.277 | − | 39.7735i | −0.199047 | − | 0.0724471i | ||||
\(550\) | 1356.81i | 2.46692i | ||||||||
\(551\) | 293.128 | − | 647.209i | 0.531993 | − | 1.17461i | ||||
\(552\) | 126.610 | 0.229367 | ||||||||
\(553\) | −38.7514 | + | 106.469i | −0.0700748 | + | 0.192529i | ||||
\(554\) | −641.399 | + | 113.096i | −1.15776 | + | 0.204144i | ||||
\(555\) | 32.1604 | + | 26.9858i | 0.0579466 | + | 0.0486230i | ||||
\(556\) | −78.4452 | + | 65.8233i | −0.141088 | + | 0.118387i | ||||
\(557\) | −107.810 | + | 611.420i | −0.193554 | + | 1.09770i | 0.720908 | + | 0.693031i | \(0.243725\pi\) |
−0.914463 | + | 0.404671i | \(0.867386\pi\) | |||||||
\(558\) | 10.2404 | − | 17.7369i | 0.0183520 | − | 0.0317866i | ||||
\(559\) | 1132.09 | − | 653.612i | 2.02521 | − | 1.16925i | ||||
\(560\) | −224.180 | + | 81.5950i | −0.400322 | + | 0.145705i | ||||
\(561\) | 107.938 | + | 296.559i | 0.192404 | + | 0.528625i | ||||
\(562\) | −448.649 | − | 777.082i | −0.798307 | − | 1.38271i | ||||
\(563\) | −799.464 | − | 461.571i | −1.42001 | − | 0.819842i | −0.423709 | − | 0.905798i | \(-0.639272\pi\) |
−0.996299 | + | 0.0859565i | \(0.972605\pi\) | |||||||
\(564\) | 650.331 | + | 114.671i | 1.15307 | + | 0.203317i | ||||
\(565\) | −13.6478 | − | 16.2648i | −0.0241554 | − | 0.0287873i | ||||
\(566\) | 279.084 | − | 332.600i | 0.493082 | − | 0.587632i | ||||
\(567\) | −15.5999 | − | 88.4716i | −0.0275131 | − | 0.156035i | ||||
\(568\) | 311.732 | + | 113.461i | 0.548824 | + | 0.199755i | ||||
\(569\) | 1003.51i | 1.76364i | 0.471586 | + | 0.881820i | \(0.343682\pi\) | ||||
−0.471586 | + | 0.881820i | \(0.656318\pi\) | |||||||
\(570\) | −29.6161 | + | 115.629i | −0.0519581 | + | 0.202859i | ||||
\(571\) | 508.604 | 0.890726 | 0.445363 | − | 0.895350i | \(-0.353075\pi\) | ||||
0.445363 | + | 0.895350i | \(0.353075\pi\) | |||||||
\(572\) | 764.642 | − | 2100.84i | 1.33679 | − | 3.67279i | ||||
\(573\) | 499.889 | − | 88.1439i | 0.872406 | − | 0.153829i | ||||
\(574\) | 1591.15 | + | 1335.13i | 2.77203 | + | 2.32601i | ||||
\(575\) | −82.4440 | + | 69.1788i | −0.143381 | + | 0.120311i | ||||
\(576\) | −15.7147 | + | 89.1227i | −0.0272825 | + | 0.154727i | ||||
\(577\) | 63.5531 | − | 110.077i | 0.110144 | − | 0.190775i | −0.805684 | − | 0.592345i | \(-0.798202\pi\) |
0.915828 | + | 0.401570i | \(0.131535\pi\) | |||||||
\(578\) | −487.751 | + | 281.603i | −0.843860 | + | 0.487203i | ||||
\(579\) | −226.508 | + | 82.4421i | −0.391205 | + | 0.142387i | ||||
\(580\) | 112.270 | + | 308.459i | 0.193569 | + | 0.531825i | ||||
\(581\) | 122.375 | + | 211.960i | 0.210628 | + | 0.364819i | ||||
\(582\) | −803.292 | − | 463.781i | −1.38023 | − | 0.796875i | ||||
\(583\) | −954.581 | − | 168.318i | −1.63736 | − | 0.288711i | ||||
\(584\) | 464.089 | + | 553.079i | 0.794672 | + | 0.947053i | ||||
\(585\) | −32.1530 | + | 38.3185i | −0.0549624 | + | 0.0655017i | ||||
\(586\) | 51.2388 | + | 290.590i | 0.0874382 | + | 0.495887i | ||||
\(587\) | 1030.99 | + | 375.250i | 1.75637 | + | 0.639268i | 0.999891 | − | 0.0147472i | \(-0.00469435\pi\) |
0.756482 | + | 0.654015i | \(0.226917\pi\) | |||||||
\(588\) | − | 753.053i | − | 1.28070i | ||||||
\(589\) | −9.85301 | − | 35.2096i | −0.0167284 | − | 0.0597786i | ||||
\(590\) | 102.203 | 0.173226 | ||||||||
\(591\) | 74.3895 | − | 204.384i | 0.125871 | − | 0.345827i | ||||
\(592\) | −545.821 | + | 96.2430i | −0.921995 | + | 0.162573i | ||||
\(593\) | −413.648 | − | 347.091i | −0.697551 | − | 0.585314i | 0.223525 | − | 0.974698i | \(-0.428244\pi\) |
−0.921076 | + | 0.389384i | \(0.872688\pi\) | |||||||
\(594\) | −225.456 | + | 189.180i | −0.379556 | + | 0.318485i | ||||
\(595\) | 20.2241 | − | 114.697i | 0.0339901 | − | 0.192767i | ||||
\(596\) | −1149.68 | + | 1991.30i | −1.92899 | + | 3.34111i | ||||
\(597\) | 43.3235 | − | 25.0128i | 0.0725686 | − | 0.0418975i | ||||
\(598\) | 244.272 | − | 88.9077i | 0.408481 | − | 0.148675i | ||||
\(599\) | −236.292 | − | 649.207i | −0.394478 | − | 1.08382i | −0.964934 | − | 0.262491i | \(-0.915456\pi\) |
0.570457 | − | 0.821328i | \(-0.306766\pi\) | |||||||
\(600\) | 337.534 | + | 584.627i | 0.562557 | + | 0.974378i | ||||
\(601\) | 195.331 | + | 112.775i | 0.325011 | + | 0.187645i | 0.653624 | − | 0.756820i | \(-0.273248\pi\) |
−0.328613 | + | 0.944465i | \(0.606581\pi\) | |||||||
\(602\) | −2795.31 | − | 492.889i | −4.64337 | − | 0.818752i | ||||
\(603\) | 8.40441 | + | 10.0160i | 0.0139377 | + | 0.0166103i | ||||
\(604\) | −1109.13 | + | 1321.81i | −1.83631 | + | 2.18843i | ||||
\(605\) | −23.7704 | − | 134.808i | −0.0392899 | − | 0.222824i | ||||
\(606\) | 731.744 | + | 266.333i | 1.20750 | + | 0.439493i | ||||
\(607\) | 436.464i | 0.719051i | 0.933135 | + | 0.359525i | \(0.117061\pi\) | ||||
−0.933135 | + | 0.359525i | \(0.882939\pi\) | |||||||
\(608\) | −197.644 | − | 275.723i | −0.325072 | − | 0.453492i | ||||
\(609\) | −646.514 | −1.06160 | ||||||||
\(610\) | 48.0866 | − | 132.117i | 0.0788304 | − | 0.216585i | ||||
\(611\) | 713.187 | − | 125.754i | 1.16724 | − | 0.205817i | ||||
\(612\) | 225.195 | + | 188.961i | 0.367965 | + | 0.308760i | ||||
\(613\) | −1.90367 | + | 1.59737i | −0.00310550 | + | 0.00260582i | −0.644339 | − | 0.764740i | \(-0.722867\pi\) |
0.641234 | + | 0.767346i | \(0.278423\pi\) | |||||||
\(614\) | 325.051 | − | 1843.45i | 0.529398 | − | 3.00237i | ||||
\(615\) | −51.9320 | + | 89.9489i | −0.0844423 | + | 0.146258i | ||||
\(616\) | −2245.51 | + | 1296.45i | −3.64531 | + | 2.10462i | ||||
\(617\) | 705.627 | − | 256.827i | 1.14364 | − | 0.416252i | 0.300415 | − | 0.953809i | \(-0.402875\pi\) |
0.843228 | + | 0.537557i | \(0.180653\pi\) | |||||||
\(618\) | −349.599 | − | 960.517i | −0.565695 | − | 1.55423i | ||||
\(619\) | 461.125 | + | 798.691i | 0.744951 | + | 1.29029i | 0.950218 | + | 0.311587i | \(0.100860\pi\) |
−0.205267 | + | 0.978706i | \(0.565806\pi\) | |||||||
\(620\) | 14.6290 | + | 8.44604i | 0.0235951 | + | 0.0136226i | ||||
\(621\) | −22.9904 | − | 4.05383i | −0.0370216 | − | 0.00652790i | ||||
\(622\) | 364.733 | + | 434.671i | 0.586387 | + | 0.698828i | ||||
\(623\) | 171.878 | − | 204.836i | 0.275888 | − | 0.328790i | ||||
\(624\) | −114.672 | − | 650.335i | −0.183769 | − | 1.04220i | ||||
\(625\) | −514.670 | − | 187.325i | −0.823472 | − | 0.299719i | ||||
\(626\) | − | 49.4063i | − | 0.0789238i | ||||||
\(627\) | −40.0007 | + | 523.880i | −0.0637969 | + | 0.835534i | ||||
\(628\) | 111.649 | 0.177786 | ||||||||
\(629\) | 92.5418 | − | 254.256i | 0.147125 | − | 0.404223i | ||||
\(630\) | 106.963 | − | 18.8605i | 0.169783 | − | 0.0299373i | ||||
\(631\) | −475.852 | − | 399.287i | −0.754124 | − | 0.632785i | 0.182466 | − | 0.983212i | \(-0.441592\pi\) |
−0.936590 | + | 0.350427i | \(0.886036\pi\) | |||||||
\(632\) | 141.473 | − | 118.710i | 0.223850 | − | 0.187833i | ||||
\(633\) | −25.9384 | + | 147.104i | −0.0409769 | + | 0.232392i | ||||
\(634\) | 354.210 | − | 613.510i | 0.558691 | − | 0.967681i | ||||
\(635\) | 18.1869 | − | 10.5002i | 0.0286408 | − | 0.0165358i | ||||
\(636\) | −848.451 | + | 308.811i | −1.33404 | + | 0.485552i | ||||
\(637\) | −282.453 | − | 776.033i | −0.443411 | − | 1.21826i | ||||
\(638\) | 1059.02 | + | 1834.27i | 1.65990 | + | 2.87504i | ||||
\(639\) | −52.9727 | − | 30.5838i | −0.0828993 | − | 0.0478619i | ||||
\(640\) | −179.658 | − | 31.6785i | −0.280716 | − | 0.0494977i | ||||
\(641\) | −154.151 | − | 183.710i | −0.240485 | − | 0.286599i | 0.632280 | − | 0.774740i | \(-0.282119\pi\) |
−0.872764 | + | 0.488142i | \(0.837675\pi\) | |||||||
\(642\) | 200.293 | − | 238.700i | 0.311982 | − | 0.371806i | ||||
\(643\) | −209.674 | − | 1189.12i | −0.326087 | − | 1.84933i | −0.501924 | − | 0.864912i | \(-0.667374\pi\) |
0.175837 | − | 0.984419i | \(-0.443737\pi\) | |||||||
\(644\) | −361.832 | − | 131.696i | −0.561852 | − | 0.204497i | ||||
\(645\) | − | 141.934i | − | 0.220053i | ||||||
\(646\) | 765.564 | − | 75.5185i | 1.18508 | − | 0.116902i | ||||
\(647\) | 229.273 | 0.354364 | 0.177182 | − | 0.984178i | \(-0.443302\pi\) | ||||
0.177182 | + | 0.984178i | \(0.443302\pi\) | |||||||
\(648\) | −50.0829 | + | 137.602i | −0.0772884 | + | 0.212348i | ||||
\(649\) | 443.042 | − | 78.1202i | 0.682653 | − | 0.120370i | ||||
\(650\) | 1061.75 | + | 890.911i | 1.63346 | + | 1.37063i | ||||
\(651\) | −25.4861 | + | 21.3854i | −0.0391492 | + | 0.0328501i | ||||
\(652\) | 312.272 | − | 1770.98i | 0.478944 | − | 2.71623i | ||||
\(653\) | −324.418 | + | 561.909i | −0.496812 | + | 0.860504i | −0.999993 | − | 0.00367725i | \(-0.998829\pi\) |
0.503181 | + | 0.864181i | \(0.332163\pi\) | |||||||
\(654\) | −418.269 | + | 241.488i | −0.639556 | + | 0.369248i | ||||
\(655\) | 20.5358 | − | 7.47443i | 0.0313524 | − | 0.0114113i | ||||
\(656\) | −468.974 | − | 1288.49i | −0.714899 | − | 1.96417i | ||||
\(657\) | −66.5624 | − | 115.290i | −0.101313 | − | 0.175479i | ||||
\(658\) | −1361.79 | − | 786.231i | −2.06959 | − | 1.19488i | ||||
\(659\) | 432.962 | + | 76.3429i | 0.656999 | + | 0.115847i | 0.492202 | − | 0.870481i | \(-0.336192\pi\) |
0.164797 | + | 0.986328i | \(0.447303\pi\) | |||||||
\(660\) | −156.031 | − | 185.951i | −0.236411 | − | 0.281744i | ||||
\(661\) | 578.136 | − | 688.995i | 0.874638 | − | 1.04235i | −0.124107 | − | 0.992269i | \(-0.539607\pi\) |
0.998745 | − | 0.0500840i | \(-0.0159489\pi\) | |||||||
\(662\) | 147.597 | + | 837.063i | 0.222956 | + | 1.26445i | ||||
\(663\) | 302.942 | + | 110.262i | 0.456925 | + | 0.166307i | ||||
\(664\) | − | 398.941i | − | 0.600814i | ||||||
\(665\) | 109.451 | − | 160.050i | 0.164587 | − | 0.240677i | ||||
\(666\) | 252.330 | 0.378874 | ||||||||
\(667\) | −57.4609 | + | 157.872i | −0.0861483 | + | 0.236690i | ||||
\(668\) | −672.636 | + | 118.604i | −1.00694 | + | 0.177551i | ||||
\(669\) | 175.727 | + | 147.453i | 0.262672 | + | 0.220408i | ||||
\(670\) | −12.1094 | + | 10.1610i | −0.0180738 | + | 0.0151657i | ||||
\(671\) | 107.466 | − | 609.469i | 0.160158 | − | 0.908300i | ||||
\(672\) | −154.347 | + | 267.337i | −0.229683 | + | 0.397823i | ||||
\(673\) | 862.599 | − | 498.022i | 1.28172 | − | 0.740003i | 0.304560 | − | 0.952493i | \(-0.401491\pi\) |
0.977163 | + | 0.212490i | \(0.0681574\pi\) | |||||||
\(674\) | 118.682 | − | 43.1968i | 0.176086 | − | 0.0640902i | ||||
\(675\) | −42.5722 | − | 116.966i | −0.0630699 | − | 0.173283i | ||||
\(676\) | −416.361 | − | 721.159i | −0.615919 | − | 1.06680i | ||||
\(677\) | 154.907 | + | 89.4358i | 0.228814 | + | 0.132106i | 0.610025 | − | 0.792382i | \(-0.291159\pi\) |
−0.381211 | + | 0.924488i | \(0.624493\pi\) | |||||||
\(678\) | −125.675 | − | 22.1599i | −0.185361 | − | 0.0326842i | ||||
\(679\) | 968.530 | + | 1154.25i | 1.42641 | + | 1.69993i | ||||
\(680\) | −122.026 | + | 145.425i | −0.179450 | + | 0.213860i | ||||
\(681\) | 117.728 | + | 667.668i | 0.172875 | + | 0.980423i | ||||
\(682\) | 102.422 | + | 37.2784i | 0.150178 | + | 0.0546604i | ||||
\(683\) | − | 355.512i | − | 0.520515i | −0.965539 | − | 0.260257i | \(-0.916193\pi\) | ||
0.965539 | − | 0.260257i | \(-0.0838074\pi\) | |||||||
\(684\) | 211.727 | + | 441.242i | 0.309542 | + | 0.645091i | ||||
\(685\) | −115.369 | −0.168422 | ||||||||
\(686\) | −19.8244 | + | 54.4671i | −0.0288986 | + | 0.0793982i | ||||
\(687\) | −623.740 | + | 109.982i | −0.907919 | + | 0.160091i | ||||
\(688\) | 1435.40 | + | 1204.44i | 2.08634 | + | 1.75065i | ||||
\(689\) | −758.514 | + | 636.469i | −1.10089 | + | 0.923757i | ||||
\(690\) | 4.90112 | − | 27.7956i | 0.00710307 | − | 0.0402835i | ||||
\(691\) | −347.765 | + | 602.346i | −0.503277 | + | 0.871702i | 0.496715 | + | 0.867914i | \(0.334539\pi\) |
−0.999993 | + | 0.00378863i | \(0.998794\pi\) | |||||||
\(692\) | 725.277 | − | 418.739i | 1.04809 | − | 0.605114i | ||||
\(693\) | 449.259 | − | 163.517i | 0.648281 | − | 0.235955i | ||||
\(694\) | −728.185 | − | 2000.67i | −1.04926 | − | 2.88281i | ||||
\(695\) | 6.09661 | + | 10.5596i | 0.00877210 | + | 0.0151937i | ||||
\(696\) | 912.629 | + | 526.906i | 1.31125 | + | 0.757050i | ||||
\(697\) | 659.228 | + | 116.240i | 0.945807 | + | 0.166771i | ||||
\(698\) | 364.205 | + | 434.043i | 0.521784 | + | 0.621838i | ||||
\(699\) | −222.597 | + | 265.280i | −0.318450 | + | 0.379514i | ||||
\(700\) | −356.509 | − | 2021.87i | −0.509299 | − | 2.88838i | ||||
\(701\) | 25.3907 | + | 9.24146i | 0.0362207 | + | 0.0131833i | 0.360067 | − | 0.932926i | \(-0.382754\pi\) |
−0.323846 | + | 0.946110i | \(0.604976\pi\) | |||||||
\(702\) | 300.647i | 0.428272i | ||||||||
\(703\) | 314.980 | − | 322.026i | 0.448052 | − | 0.458074i | ||||
\(704\) | −481.610 | −0.684105 | ||||||||
\(705\) | 26.8931 | − | 73.8882i | 0.0381462 | − | 0.104806i | ||||
\(706\) | −578.144 | + | 101.942i | −0.818901 | + | 0.144394i | ||||
\(707\) | −969.014 | − | 813.099i | −1.37060 | − | 1.15007i | ||||
\(708\) | 321.016 | − | 269.365i | 0.453413 | − | 0.380458i | ||||
\(709\) | −38.4734 | + | 218.194i | −0.0542644 | + | 0.307749i | −0.999844 | − | 0.0176411i | \(-0.994384\pi\) |
0.945580 | + | 0.325390i | \(0.105495\pi\) | |||||||
\(710\) | 36.9761 | − | 64.0445i | 0.0520790 | − | 0.0902036i | ||||
\(711\) | −29.4902 | + | 17.0262i | −0.0414770 | + | 0.0239468i | ||||
\(712\) | −409.566 | + | 149.070i | −0.575233 | + | 0.209368i | ||||
\(713\) | 2.95695 | + | 8.12416i | 0.00414720 | + | 0.0113943i | ||||
\(714\) | −350.003 | − | 606.222i | −0.490200 | − | 0.849051i | ||||
\(715\) | −230.538 | − | 133.101i | −0.322431 | − | 0.186156i | ||||
\(716\) | 1697.64 | + | 299.339i | 2.37100 | + | 0.418071i | ||||
\(717\) | −99.6396 | − | 118.746i | −0.138967 | − | 0.165615i | ||||
\(718\) | −916.715 | + | 1092.50i | −1.27676 | + | 1.52159i | ||||
\(719\) | −16.7141 | − | 94.7905i | −0.0232463 | − | 0.131837i | 0.970976 | − | 0.239177i | \(-0.0768776\pi\) |
−0.994222 | + | 0.107340i | \(0.965767\pi\) | |||||||
\(720\) | −67.3766 | − | 24.5231i | −0.0935786 | − | 0.0340598i | ||||
\(721\) | 1660.43i | 2.30296i | ||||||||
\(722\) | 1212.88 | + | 411.306i | 1.67988 | + | 0.569676i | ||||
\(723\) | −57.6122 | −0.0796849 | ||||||||
\(724\) | 249.167 | − | 684.581i | 0.344153 | − | 0.945553i | ||||
\(725\) | −882.168 | + | 155.550i | −1.21678 | + | 0.214552i | ||||
\(726\) | −630.263 | − | 528.853i | −0.868131 | − | 0.728448i | ||||
\(727\) | −740.443 | + | 621.305i | −1.01849 | + | 0.854615i | −0.989437 | − | 0.144963i | \(-0.953694\pi\) |
−0.0290534 | + | 0.999578i | \(0.509249\pi\) | |||||||
\(728\) | −459.942 | + | 2608.46i | −0.631789 | + | 3.58305i | ||||
\(729\) | 13.5000 | − | 23.3827i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | 139.386 | − | 80.4747i | 0.190940 | − | 0.110239i | ||||
\(731\) | −859.592 | + | 312.866i | −1.17591 | + | 0.427997i | ||||
\(732\) | −197.166 | − | 541.709i | −0.269352 | − | 0.740039i | ||||
\(733\) | −393.158 | − | 680.970i | −0.536369 | − | 0.929018i | −0.999096 | − | 0.0425172i | \(-0.986462\pi\) |
0.462727 | − | 0.886501i | \(-0.346871\pi\) | |||||||
\(734\) | −1873.62 | − | 1081.74i | −2.55262 | − | 1.47376i | ||||
\(735\) | −88.3046 | − | 15.5705i | −0.120142 | − | 0.0211843i | ||||
\(736\) | 51.5631 | + | 61.4505i | 0.0700586 | + | 0.0834925i | ||||
\(737\) | −44.7266 | + | 53.3030i | −0.0606873 | + | 0.0723243i | ||||
\(738\) | 108.402 | + | 614.779i | 0.146886 | + | 0.833034i | ||||
\(739\) | −92.7948 | − | 33.7745i | −0.125568 | − | 0.0457030i | 0.278472 | − | 0.960444i | \(-0.410172\pi\) |
−0.404040 | + | 0.914741i | \(0.632394\pi\) | |||||||
\(740\) | 208.116i | 0.281238i | ||||||||
\(741\) | 383.688 | + | 375.293i | 0.517797 | + | 0.506468i | ||||
\(742\) | 2150.00 | 2.89757 | ||||||||
\(743\) | −342.466 | + | 940.918i | −0.460923 | + | 1.26638i | 0.463869 | + | 0.885904i | \(0.346461\pi\) |
−0.924792 | + | 0.380472i | \(0.875761\pi\) | |||||||
\(744\) | 53.4056 | − | 9.41685i | 0.0717817 | − | 0.0126571i | ||||
\(745\) | 209.733 | + | 175.987i | 0.281521 | + | 0.236224i | ||||
\(746\) | 701.400 | − | 588.545i | 0.940215 | − | 0.788934i | ||||
\(747\) | −12.7733 | + | 72.4412i | −0.0170995 | + | 0.0969762i | ||||
\(748\) | −782.227 | + | 1354.86i | −1.04576 | + | 1.81131i | ||||
\(749\) | −438.360 | + | 253.087i | −0.585260 | + | 0.337900i | ||||
\(750\) | 288.997 | − | 105.186i | 0.385329 | − | 0.140248i | ||||
\(751\) | −10.8505 | − | 29.8116i | −0.0144481 | − | 0.0396959i | 0.932259 | − | 0.361792i | \(-0.117835\pi\) |
−0.946707 | + | 0.322096i | \(0.895613\pi\) | |||||||
\(752\) | 519.028 | + | 898.983i | 0.690197 | + | 1.19546i | ||||
\(753\) | 64.7287 | + | 37.3711i | 0.0859611 | + | 0.0496297i | ||||
\(754\) | 2130.76 | + | 375.710i | 2.82594 | + | 0.498289i | ||||
\(755\) | 132.066 | + | 157.390i | 0.174921 | + | 0.208463i | ||||
\(756\) | 286.258 | − | 341.149i | 0.378648 | − | 0.451256i | ||||
\(757\) | 195.753 | + | 1110.17i | 0.258590 | + | 1.46654i | 0.786686 | + | 0.617354i | \(0.211795\pi\) |
−0.528095 | + | 0.849185i | \(0.677094\pi\) | |||||||
\(758\) | 1330.83 | + | 484.384i | 1.75572 | + | 0.639029i | ||||
\(759\) | − | 124.238i | − | 0.163686i | ||||||
\(760\) | −284.943 | + | 136.728i | −0.374924 | + | 0.179905i | ||||
\(761\) | 127.137 | 0.167066 | 0.0835329 | − | 0.996505i | \(-0.473380\pi\) | ||||
0.0835329 | + | 0.996505i | \(0.473380\pi\) | |||||||
\(762\) | 43.1700 | − | 118.609i | 0.0566536 | − | 0.155654i | ||||
\(763\) | 772.644 | − | 136.238i | 1.01264 | − | 0.178556i | ||||
\(764\) | 1927.59 | + | 1617.44i | 2.52302 | + | 2.11707i | ||||
\(765\) | 26.8142 | − | 22.4998i | 0.0350512 | − | 0.0294115i | ||||
\(766\) | −124.147 | + | 704.072i | −0.162072 | + | 0.919154i | ||||
\(767\) | 229.780 | − | 397.990i | 0.299582 | − | 0.518892i | ||||
\(768\) | −768.577 | + | 443.738i | −1.00075 | + | 0.577784i | ||||
\(769\) | −863.816 | + | 314.403i | −1.12330 | + | 0.408847i | −0.835855 | − | 0.548951i | \(-0.815027\pi\) |
−0.287443 | + | 0.957798i | \(0.592805\pi\) | |||||||
\(770\) | 197.694 | + | 543.159i | 0.256745 | + | 0.705401i | ||||
\(771\) | 310.210 | + | 537.299i | 0.402348 | + | 0.696886i | ||||
\(772\) | −1034.82 | − | 597.455i | −1.34044 | − | 0.773906i | ||||
\(773\) | 598.040 | + | 105.451i | 0.773661 | + | 0.136417i | 0.546522 | − | 0.837445i | \(-0.315952\pi\) |
0.227139 | + | 0.973862i | \(0.427063\pi\) | |||||||
\(774\) | −548.350 | − | 653.498i | −0.708462 | − | 0.844312i | ||||
\(775\) | −29.6305 | + | 35.3122i | −0.0382329 | + | 0.0455642i | ||||
\(776\) | −426.483 | − | 2418.70i | −0.549591 | − | 3.11689i | ||||
\(777\) | −385.175 | − | 140.192i | −0.495721 | − | 0.180428i | ||||
\(778\) | − | 2274.23i | − | 2.92317i | ||||||
\(779\) | 919.902 | + | 629.076i | 1.18088 | + | 0.807544i | ||||
\(780\) | −247.966 | −0.317905 | ||||||||
\(781\) | 111.335 | − | 305.890i | 0.142554 | − | 0.391665i | ||||
\(782\) | −179.141 | + | 31.5874i | −0.229081 | + | 0.0403931i | ||||
\(783\) | −148.848 | − | 124.898i | −0.190100 | − | 0.159513i | ||||
\(784\) | 906.812 | − | 760.906i | 1.15665 | − | 0.970543i | ||||
\(785\) | 2.30851 | − | 13.0922i | 0.00294078 | − | 0.0166780i | ||||
\(786\) | 65.6748 | − | 113.752i | 0.0835557 | − | 0.144723i | ||||
\(787\) | −854.091 | + | 493.110i | −1.08525 | + | 0.626569i | −0.932308 | − | 0.361667i | \(-0.882208\pi\) |
−0.152941 | + | 0.988235i | \(0.548875\pi\) | |||||||
\(788\) | 1013.17 | − | 368.765i | 1.28575 | − | 0.467976i | ||||
\(789\) | 13.5547 | + | 37.2412i | 0.0171796 | + | 0.0472005i | ||||
\(790\) | −20.5848 | − | 35.6539i | −0.0260567 | − | 0.0451316i | ||||
\(791\) | 179.527 | + | 103.650i | 0.226963 | + | 0.131037i | ||||
\(792\) | −767.446 | − | 135.321i | −0.968997 | − | 0.170860i | ||||
\(793\) | −406.365 | − | 484.287i | −0.512440 | − | 0.610702i | ||||
\(794\) | 1082.24 | − | 1289.77i | 1.36302 | − | 1.62439i | ||||
\(795\) | 18.6688 | + | 105.876i | 0.0234828 | + | 0.133178i | ||||
\(796\) | 233.033 | + | 84.8169i | 0.292755 | + | 0.106554i | ||||
\(797\) | 547.781i | 0.687304i | 0.939097 | + | 0.343652i | \(0.111664\pi\) | ||||
−0.939097 | + | 0.343652i | \(0.888336\pi\) | |||||||
\(798\) | −114.404 | − | 1159.76i | −0.143363 | − | 1.45333i | ||||
\(799\) | −506.767 | −0.634251 | ||||||||
\(800\) | −146.286 | + | 401.917i | −0.182857 | + | 0.502396i | ||||
\(801\) | 79.1436 | − | 13.9551i | 0.0988060 | − | 0.0174222i | ||||
\(802\) | −1484.59 | − | 1245.72i | −1.85111 | − | 1.55326i | ||||
\(803\) | 542.715 | − | 455.392i | 0.675859 | − | 0.567113i | ||||
\(804\) | −11.2551 | + | 63.8306i | −0.0139988 | + | 0.0793913i | ||||
\(805\) | −22.9244 | + | 39.7062i | −0.0284775 | + | 0.0493245i | ||||
\(806\) | 96.4239 | − | 55.6703i | 0.119633 | − | 0.0690699i | ||||
\(807\) | 452.580 | − | 164.726i | 0.560818 | − | 0.204121i | ||||
\(808\) | 705.201 | + | 1937.53i | 0.872774 | + | 2.39793i | ||||
\(809\) | −213.118 | − | 369.130i | −0.263433 | − | 0.456280i | 0.703719 | − | 0.710479i | \(-0.251522\pi\) |
−0.967152 | + | 0.254199i | \(0.918188\pi\) | |||||||
\(810\) | 28.2699 | + | 16.3216i | 0.0349011 | + | 0.0201502i | ||||
\(811\) | −1260.03 | − | 222.176i | −1.55367 | − | 0.273954i | −0.670106 | − | 0.742266i | \(-0.733751\pi\) |
−0.883563 | + | 0.468312i | \(0.844862\pi\) | |||||||
\(812\) | −2060.08 | − | 2455.11i | −2.53704 | − | 3.02353i | ||||
\(813\) | 335.001 | − | 399.238i | 0.412055 | − | 0.491068i | ||||
\(814\) | 233.184 | + | 1322.45i | 0.286466 | + | 1.62463i | ||||
\(815\) | −201.212 | − | 73.2353i | −0.246886 | − | 0.0898592i | ||||
\(816\) | 462.107i | 0.566307i | ||||||||
\(817\) | −1518.50 | − | 115.944i | −1.85862 | − | 0.141915i | ||||
\(818\) | −106.050 | −0.129646 | ||||||||
\(819\) | 167.036 | − | 458.928i | 0.203952 | − | 0.560352i | ||||
\(820\) | −507.055 | + | 89.4074i | −0.618359 | + | 0.109033i | ||||
\(821\) | −159.810 | − | 134.097i | −0.194653 | − | 0.163333i | 0.540252 | − | 0.841503i | \(-0.318329\pi\) |
−0.734905 | + | 0.678170i | \(0.762773\pi\) | |||||||
\(822\) | −531.185 | + | 445.717i | −0.646211 | + | 0.542235i | ||||
\(823\) | 23.8290 | − | 135.141i | 0.0289538 | − | 0.164205i | −0.966902 | − | 0.255146i | \(-0.917876\pi\) |
0.995856 | + | 0.0909412i | \(0.0289875\pi\) | |||||||
\(824\) | 1353.25 | − | 2343.89i | 1.64229 | − | 2.84453i | ||||
\(825\) | 573.671 | − | 331.209i | 0.695359 | − | 0.401466i | ||||
\(826\) | −937.682 | + | 341.288i | −1.13521 | + | 0.413182i | ||||
\(827\) | −530.278 | − | 1456.93i | −0.641206 | − | 1.76170i | −0.647904 | − | 0.761722i | \(-0.724354\pi\) |
0.00669758 | − | 0.999978i | \(-0.497868\pi\) | |||||||
\(828\) | −57.8633 | − | 100.222i | −0.0698832 | − | 0.121041i | ||||
\(829\) | 1381.08 | + | 797.368i | 1.66596 | + | 0.961843i | 0.969781 | + | 0.243976i | \(0.0784519\pi\) |
0.696180 | + | 0.717867i | \(0.254881\pi\) | |||||||
\(830\) | −87.5822 | − | 15.4431i | −0.105521 | − | 0.0186061i | ||||
\(831\) | 204.389 | + | 243.582i | 0.245956 | + | 0.293119i | ||||
\(832\) | −316.236 | + | 376.875i | −0.380091 | + | 0.452975i | ||||
\(833\) | 100.351 | + | 569.118i | 0.120469 | + | 0.683214i | ||||
\(834\) | 68.8663 | + | 25.0653i | 0.0825735 | + | 0.0300543i | ||||
\(835\) | 81.3271i | 0.0973977i | ||||||||
\(836\) | −2116.87 | + | 1517.41i | −2.53214 | + | 1.81508i | ||||
\(837\) | −9.99911 | −0.0119464 | ||||||||
\(838\) | 573.077 | − | 1574.52i | 0.683863 | − | 1.87890i | ||||
\(839\) | 862.301 | − | 152.047i | 1.02777 | − | 0.181224i | 0.365754 | − | 0.930712i | \(-0.380811\pi\) |
0.662019 | + | 0.749487i | \(0.269700\pi\) | |||||||
\(840\) | 220.305 | + | 184.858i | 0.262268 | + | 0.220069i | ||||
\(841\) | −426.953 | + | 358.256i | −0.507673 | + | 0.425988i | ||||
\(842\) | −152.414 | + | 864.383i | −0.181014 | + | 1.02658i | ||||
\(843\) | −219.038 | + | 379.386i | −0.259832 | + | 0.450042i | ||||
\(844\) | −641.271 | + | 370.238i | −0.759800 | + | 0.438671i | ||||
\(845\) | −93.1735 | + | 33.9124i | −0.110264 | + | 0.0401330i | ||||
\(846\) | −161.638 | − | 444.097i | −0.191061 | − | 0.524937i | ||||
\(847\) | 668.252 | + | 1157.45i | 0.788964 | + | 1.36653i | ||||
\(848\) | −1229.16 | − | 709.657i | −1.44948 | − | 0.836860i | ||||
\(849\) | −208.753 | − | 36.8089i | −0.245882 | − | 0.0433555i | ||||
\(850\) | −623.434 | − | 742.980i | −0.733452 | − | 0.874094i | ||||
\(851\) | −68.4672 | + | 81.5960i | −0.0804550 | + | 0.0958825i | ||||
\(852\) | −52.6538 | − | 298.614i | −0.0618002 | − | 0.350486i | ||||
\(853\) | 621.679 | + | 226.273i | 0.728814 | + | 0.265267i | 0.679663 | − | 0.733525i | \(-0.262126\pi\) |
0.0491515 | + | 0.998791i | \(0.484348\pi\) | |||||||
\(854\) | 1372.70i | 1.60738i | ||||||||
\(855\) | 56.1188 | − | 15.7042i | 0.0656360 | − | 0.0183675i | ||||
\(856\) | 825.060 | 0.963856 | ||||||||
\(857\) | 253.728 | − | 697.113i | 0.296066 | − | 0.813434i | −0.699082 | − | 0.715041i | \(-0.746408\pi\) |
0.995148 | − | 0.0983922i | \(-0.0313700\pi\) | |||||||
\(858\) | −1575.67 | + | 277.834i | −1.83645 | + | 0.323816i | ||||
\(859\) | 468.594 | + | 393.197i | 0.545511 | + | 0.457738i | 0.873417 | − | 0.486972i | \(-0.161899\pi\) |
−0.327907 | + | 0.944710i | \(0.606343\pi\) | |||||||
\(860\) | 538.989 | − | 452.266i | 0.626731 | − | 0.525890i | ||||
\(861\) | 176.092 | − | 998.669i | 0.204521 | − | 1.15989i | ||||
\(862\) | 171.299 | − | 296.699i | 0.198723 | − | 0.344199i | ||||
\(863\) | 1074.21 | − | 620.193i | 1.24473 | − | 0.718648i | 0.274680 | − | 0.961536i | \(-0.411428\pi\) |
0.970054 | + | 0.242888i | \(0.0780947\pi\) | |||||||
\(864\) | −87.1819 | + | 31.7316i | −0.100905 | + | 0.0367264i | ||||
\(865\) | −34.1060 | − | 93.7055i | −0.0394289 | − | 0.108330i | ||||
\(866\) | −496.920 | − | 860.691i | −0.573811 | − | 0.993869i | ||||
\(867\) | 238.129 | + | 137.484i | 0.274659 | + | 0.158574i | ||||
\(868\) | −162.420 | − | 28.6390i | −0.187120 | − | 0.0329943i | ||||
\(869\) | −116.486 | − | 138.822i | −0.134046 | − | 0.159749i | ||||
\(870\) | 151.004 | − | 179.959i | 0.173567 | − | 0.206849i | ||||
\(871\) | 12.3429 | + | 70.0000i | 0.0141709 | + | 0.0803674i | ||||
\(872\) | −1201.71 | − | 437.386i | −1.37811 | − | 0.501590i | ||||
\(873\) | 452.853i | 0.518732i | ||||||||
\(874\) | −293.370 | − | 75.1408i | −0.335664 | − | 0.0859735i | ||||
\(875\) | −499.586 | −0.570955 | ||||||||
\(876\) | 225.709 | − | 620.131i | 0.257659 | − | 0.707912i | ||||
\(877\) | 908.825 | − | 160.250i | 1.03629 | − | 0.182726i | 0.370474 | − | 0.928843i | \(-0.379195\pi\) |
0.665815 | + | 0.746117i | \(0.268084\pi\) | |||||||
\(878\) | 814.912 | + | 683.792i | 0.928145 | + | 0.778806i | ||||
\(879\) | 110.356 | − | 92.5998i | 0.125547 | − | 0.105347i | ||||
\(880\) | 66.2601 | − | 375.780i | 0.0752955 | − | 0.427022i | ||||
\(881\) | 425.130 | − | 736.347i | 0.482554 | − | 0.835809i | −0.517245 | − | 0.855837i | \(-0.673042\pi\) |
0.999799 | + | 0.0200287i | \(0.00637577\pi\) | |||||||
\(882\) | −466.729 | + | 269.466i | −0.529171 | + | 0.305517i | ||||
\(883\) | −935.841 | + | 340.618i | −1.05984 | + | 0.385751i | −0.812369 | − | 0.583144i | \(-0.801822\pi\) |
−0.247473 | + | 0.968895i | \(0.579600\pi\) | |||||||
\(884\) | 546.591 | + | 1501.75i | 0.618316 | + | 1.69881i | ||||
\(885\) | −24.9488 | − | 43.2125i | −0.0281907 | − | 0.0488277i | ||||
\(886\) | 2239.99 | + | 1293.26i | 2.52820 | + | 1.45966i | ||||
\(887\) | −393.162 | − | 69.3251i | −0.443249 | − | 0.0781568i | −0.0524308 | − | 0.998625i | \(-0.516697\pi\) |
−0.390819 | + | 0.920468i | \(0.627808\pi\) | |||||||
\(888\) | 429.462 | + | 511.813i | 0.483629 | + | 0.576366i | ||||
\(889\) | −131.796 | + | 157.068i | −0.148252 | + | 0.176679i | ||||
\(890\) | 16.8719 | + | 95.6855i | 0.0189572 | + | 0.107512i | ||||
\(891\) | 135.023 | + | 49.1444i | 0.151541 | + | 0.0551564i | ||||
\(892\) | 1137.17i | 1.27485i | ||||||||
\(893\) | −768.530 | − | 348.076i | −0.860615 | − | 0.389783i | ||||
\(894\) | 1645.56 | 1.84068 | ||||||||
\(895\) | 70.2022 | − | 192.879i | 0.0784382 | − | 0.215507i | ||||
\(896\) | 1754.09 | − | 309.293i | 1.95769 | − | 0.345193i | ||||
\(897\) | −97.2200 | − | 81.5773i | −0.108384 | − | 0.0909446i | ||||
\(898\) | 870.012 | − | 730.027i | 0.968833 | − | 0.812947i | ||||
\(899\) | −12.4956 | + | 70.8661i | −0.0138994 | + | 0.0788277i | ||||
\(900\) | 308.519 | − | 534.371i | 0.342799 | − | 0.593745i | ||||
\(901\) | 600.062 | − | 346.446i | 0.665996 | − | 0.384513i | ||||
\(902\) | −3121.85 | + | 1136.26i | −3.46103 | + | 1.25971i | ||||
\(903\) | 473.963 | + | 1302.20i | 0.524876 | + | 1.44208i | ||||
\(904\) | −168.949 | − | 292.628i | −0.186890 | − | 0.323704i | ||||
\(905\) | −75.1235 | − | 43.3725i | −0.0830093 | − | 0.0479255i | ||||
\(906\) | 1216.12 | + | 214.435i | 1.34230 | + | 0.236683i | ||||
\(907\) | 69.1358 | + | 82.3928i | 0.0762247 | + | 0.0908410i | 0.802809 | − | 0.596236i | \(-0.203338\pi\) |
−0.726584 | + | 0.687077i | \(0.758893\pi\) | |||||||
\(908\) | −2160.30 | + | 2574.55i | −2.37919 | + | 2.83541i | ||||
\(909\) | −66.0173 | − | 374.403i | −0.0726263 | − | 0.411884i | ||||
\(910\) | 554.849 | + | 201.949i | 0.609725 | + | 0.221922i | ||||
\(911\) | − | 783.326i | − | 0.859853i | −0.902864 | − | 0.429927i | \(-0.858539\pi\) | ||
0.902864 | − | 0.429927i | \(-0.141461\pi\) | |||||||
\(912\) | −317.401 | + | 700.801i | −0.348027 | + | 0.768422i | ||||
\(913\) | −391.465 | −0.428767 | ||||||||
\(914\) | −1102.45 | + | 3028.95i | −1.20618 | + | 3.31395i | ||||
\(915\) | −67.5986 | + | 11.9195i | −0.0738782 | + | 0.0130267i | ||||
\(916\) | −2405.16 | − | 2018.17i | −2.62572 | − | 2.20324i | ||||
\(917\) | −163.450 | + | 137.151i | −0.178244 | + | 0.149565i | ||||
\(918\) | 36.5328 | − | 207.188i | 0.0397961 | − | 0.225695i | ||||
\(919\) | 607.520 | − | 1052.26i | 0.661067 | − | 1.14500i | −0.319269 | − | 0.947664i | \(-0.603437\pi\) |
0.980336 | − | 0.197337i | \(-0.0632294\pi\) | |||||||
\(920\) | 64.7208 | − | 37.3666i | 0.0703487 | − | 0.0406159i | ||||
\(921\) | −858.777 | + | 312.569i | −0.932440 | + | 0.339380i | ||||
\(922\) | 614.557 | + | 1688.48i | 0.666548 | + | 1.83133i | ||||
\(923\) | −166.264 | − | 287.977i | −0.180134 | − | 0.312002i | ||||
\(924\) | 2052.48 | + | 1185.00i | 2.22130 | + | 1.28247i | ||||
\(925\) | −559.301 | − | 98.6198i | −0.604649 | − | 0.106616i | ||||
\(926\) | 484.583 | + | 577.503i | 0.523308 | + | 0.623654i | ||||
\(927\) | −320.775 | + | 382.285i | −0.346036 | + | 0.412389i | ||||
\(928\) | 115.941 | + | 657.533i | 0.124936 | + | 0.708548i | ||||
\(929\) | −682.342 | − | 248.352i | −0.734491 | − | 0.267333i | −0.0524264 | − | 0.998625i | \(-0.516695\pi\) |
−0.682065 | + | 0.731292i | \(0.738918\pi\) | |||||||
\(930\) | − | 12.0890i | − | 0.0129990i | ||||||
\(931\) | −238.717 | + | 932.013i | −0.256409 | + | 1.00109i | ||||
\(932\) | −1716.68 | −1.84193 | ||||||||
\(933\) | 94.7486 | − | 260.320i | 0.101553 | − | 0.279014i | ||||
\(934\) | −685.271 | + | 120.832i | −0.733695 | + | 0.129370i | ||||
\(935\) | 142.700 | + | 119.739i | 0.152620 | + | 0.128063i | ||||
\(936\) | −609.816 | + | 511.696i | −0.651512 | + | 0.546684i | ||||
\(937\) | 56.2982 | − | 319.283i | 0.0600835 | − | 0.340750i | −0.939916 | − | 0.341405i | \(-0.889097\pi\) |
1.00000 | 0.000654675i | \(0.000208390\pi\) | ||||||||
\(938\) | 77.1693 | − | 133.661i | 0.0822701 | − | 0.142496i | ||||
\(939\) | −20.8894 | + | 12.0605i | −0.0222465 | + | 0.0128440i | ||||
\(940\) | 366.280 | − | 133.315i | 0.389660 | − | 0.141824i | ||||
\(941\) | 170.909 | + | 469.568i | 0.181625 | + | 0.499009i | 0.996776 | − | 0.0802390i | \(-0.0255683\pi\) |
−0.815151 | + | 0.579248i | \(0.803346\pi\) | |||||||
\(942\) | −39.9516 | − | 69.1982i | −0.0424115 | − | 0.0734589i | ||||
\(943\) | −228.215 | − | 131.760i | −0.242009 | − | 0.139724i | ||||
\(944\) | 648.727 | + | 114.388i | 0.687211 | + | 0.121174i | ||||
\(945\) | −34.0851 | − | 40.6210i | −0.0360689 | − | 0.0429852i | ||||
\(946\) | 2918.21 | − | 3477.78i | 3.08478 | − | 3.67630i | ||||
\(947\) | 89.2740 | + | 506.298i | 0.0942704 | + | 0.534634i | 0.994968 | + | 0.100188i | \(0.0319445\pi\) |
−0.900698 | + | 0.434446i | \(0.856944\pi\) | |||||||
\(948\) | −158.625 | − | 57.7347i | −0.167326 | − | 0.0609015i | ||||
\(949\) | − | 723.712i | − | 0.762605i | ||||||
\(950\) | −435.139 | − | 1554.96i | −0.458041 | − | 1.63680i | ||||
\(951\) | −345.864 | −0.363684 | ||||||||
\(952\) | 633.930 | − | 1741.71i | 0.665893 | − | 1.82953i | ||||
\(953\) | 453.269 | − | 79.9235i | 0.475623 | − | 0.0838651i | 0.0693022 | − | 0.997596i | \(-0.477923\pi\) |
0.406321 | + | 0.913731i | \(0.366812\pi\) | |||||||
\(954\) | 494.998 | + | 415.352i | 0.518866 | + | 0.435380i | ||||
\(955\) | 229.520 | − | 192.590i | 0.240335 | − | 0.201665i | ||||
\(956\) | 133.436 | − | 756.753i | 0.139577 | − | 0.791582i | ||||
\(957\) | 517.032 | − | 895.527i | 0.540264 | − | 0.935764i | ||||
\(958\) | −1355.12 | + | 782.376i | −1.41453 | + | 0.816677i | ||||
\(959\) | 1058.47 | − | 385.253i | 1.10373 | − | 0.401724i | ||||
\(960\) | 18.2698 | + | 50.1958i | 0.0190310 | + | 0.0522873i | ||||
\(961\) | −478.648 | − | 829.043i | −0.498073 | − | 0.862688i | ||||
\(962\) | 1187.97 | + | 685.877i | 1.23490 | + | 0.712970i | ||||
\(963\) | −149.818 | − | 26.4169i | −0.155574 | − | 0.0274319i | ||||
\(964\) | −183.578 | − | 218.780i | −0.190433 | − | 0.226950i | ||||
\(965\) | −91.4553 | + | 108.992i | −0.0947724 | + | 0.112945i | ||||
\(966\) | 47.8520 | + | 271.382i | 0.0495363 | + | 0.280934i | ||||
\(967\) | 898.261 | + | 326.940i | 0.928915 | + | 0.338097i | 0.761779 | − | 0.647836i | \(-0.224326\pi\) |
0.167136 | + | 0.985934i | \(0.446548\pi\) | |||||||
\(968\) | − | 2178.49i | − | 2.25051i | ||||||
\(969\) | −218.811 | − | 305.253i | −0.225811 | − | 0.315019i | ||||
\(970\) | −547.504 | −0.564437 | ||||||||
\(971\) | −232.300 | + | 638.238i | −0.239237 | + | 0.657300i | 0.760729 | + | 0.649070i | \(0.224842\pi\) |
−0.999966 | + | 0.00822951i | \(0.997380\pi\) | |||||||
\(972\) | 131.812 | − | 23.2419i | 0.135609 | − | 0.0239114i | ||||
\(973\) | −91.1963 | − | 76.5228i | −0.0937269 | − | 0.0786462i | ||||
\(974\) | 2171.90 | − | 1822.44i | 2.22988 | − | 1.87109i | ||||
\(975\) | 117.504 | − | 666.396i | 0.120516 | − | 0.683483i | ||||
\(976\) | 453.093 | − | 784.781i | 0.464235 | − | 0.804079i | ||||
\(977\) | 942.396 | − | 544.092i | 0.964581 | − | 0.556901i | 0.0670012 | − | 0.997753i | \(-0.478657\pi\) |
0.897580 | + | 0.440852i | \(0.145324\pi\) | |||||||
\(978\) | −1209.36 | + | 440.172i | −1.23657 | + | 0.450074i | ||||
\(979\) | 146.276 | + | 401.891i | 0.149414 | + | 0.410512i | ||||
\(980\) | −222.249 | − | 384.947i | −0.226785 | − | 0.392803i | ||||
\(981\) | 204.207 | + | 117.899i | 0.208162 | + | 0.120182i | ||||
\(982\) | 1360.34 | + | 239.866i | 1.38528 | + | 0.244262i | ||||
\(983\) | −594.127 | − | 708.053i | −0.604402 | − | 0.720298i | 0.373903 | − | 0.927468i | \(-0.378019\pi\) |
−0.978305 | + | 0.207169i | \(0.933575\pi\) | |||||||
\(984\) | −1062.49 | + | 1266.22i | −1.07976 | + | 1.28681i | ||||
\(985\) | −22.2933 | − | 126.432i | −0.0226328 | − | 0.128357i | ||||
\(986\) | −1422.74 | − | 517.833i | −1.44294 | − | 0.525186i | ||||
\(987\) | 767.705i | 0.777816i | ||||||||
\(988\) | −202.560 | + | 2652.88i | −0.205020 | + | 2.68510i | ||||
\(989\) | 360.110 | 0.364115 | ||||||||
\(990\) | −59.4161 | + | 163.244i | −0.0600163 | + | 0.164893i | ||||
\(991\) | 36.0735 | − | 6.36074i | 0.0364011 | − | 0.00641850i | −0.155418 | − | 0.987849i | \(-0.549672\pi\) |
0.191819 | + | 0.981430i | \(0.438561\pi\) | |||||||
\(992\) | 26.3204 | + | 22.0854i | 0.0265326 | + | 0.0222635i | ||||
\(993\) | 317.888 | − | 266.740i | 0.320129 | − | 0.268620i | ||||
\(994\) | −125.379 | + | 711.062i | −0.126136 | + | 0.715355i | ||||
\(995\) | 14.7641 | − | 25.5722i | 0.0148383 | − | 0.0257007i | ||||
\(996\) | −315.793 | + | 182.323i | −0.317062 | + | 0.183056i | ||||
\(997\) | 1058.30 | − | 385.188i | 1.06148 | − | 0.386347i | 0.248496 | − | 0.968633i | \(-0.420064\pi\) |
0.812984 | + | 0.582286i | \(0.197842\pi\) | |||||||
\(998\) | 89.7642 | + | 246.625i | 0.0899441 | + | 0.247119i | ||||
\(999\) | −61.5962 | − | 106.688i | −0.0616578 | − | 0.106794i |
(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 | 57.3.k.a.34.3 | ✓ | 18 | |
3.2 | odd | 2 | 171.3.ba.c.91.1 | 18 | |||
19.14 | odd | 18 | inner | 57.3.k.a.52.3 | yes | 18 | |
57.14 | even | 18 | 171.3.ba.c.109.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.3.k.a.34.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
57.3.k.a.52.3 | yes | 18 | 19.14 | odd | 18 | inner | |
171.3.ba.c.91.1 | 18 | 3.2 | odd | 2 | |||
171.3.ba.c.109.1 | 18 | 57.14 | even | 18 |