Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(13,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 69.20 | ||
Character | \(\chi\) | \(=\) | 224.69 |
Dual form | 224.3.v.b.13.20 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28270 | + | 1.53450i | −0.641348 | + | 0.767250i | ||||
\(3\) | 0.416824 | − | 0.172654i | 0.138941 | − | 0.0575514i | −0.312129 | − | 0.950040i | \(-0.601042\pi\) |
0.451071 | + | 0.892488i | \(0.351042\pi\) | |||||||
\(4\) | −0.709381 | − | 3.93659i | −0.177345 | − | 0.984149i | ||||
\(5\) | −1.21861 | + | 2.94198i | −0.243722 | + | 0.588397i | −0.997647 | − | 0.0685640i | \(-0.978158\pi\) |
0.753925 | + | 0.656961i | \(0.228158\pi\) | |||||||
\(6\) | −0.269721 | + | 0.861080i | −0.0449535 | + | 0.143513i | ||||
\(7\) | 6.07185 | − | 3.48320i | 0.867407 | − | 0.497599i | ||||
\(8\) | 6.95063 | + | 3.96091i | 0.868828 | + | 0.495114i | ||||
\(9\) | −6.22003 | + | 6.22003i | −0.691114 | + | 0.691114i | ||||
\(10\) | −2.95137 | − | 5.64363i | −0.295137 | − | 0.564363i | ||||
\(11\) | 6.49632 | − | 15.6835i | 0.590574 | − | 1.42577i | −0.292375 | − | 0.956304i | \(-0.594446\pi\) |
0.882949 | − | 0.469468i | \(-0.155554\pi\) | |||||||
\(12\) | −0.975357 | − | 1.51839i | −0.0812798 | − | 0.126533i | ||||
\(13\) | 3.18050 | + | 7.67840i | 0.244654 | + | 0.590646i | 0.997734 | − | 0.0672823i | \(-0.0214328\pi\) |
−0.753080 | + | 0.657929i | \(0.771433\pi\) | |||||||
\(14\) | −2.44337 | + | 13.7851i | −0.174527 | + | 0.984652i | ||||
\(15\) | 1.43669i | 0.0957792i | ||||||||
\(16\) | −14.9936 | + | 5.58509i | −0.937097 | + | 0.349068i | ||||
\(17\) | 19.7748 | 1.16322 | 0.581612 | − | 0.813466i | \(-0.302422\pi\) | ||||
0.581612 | + | 0.813466i | \(0.302422\pi\) | |||||||
\(18\) | −1.56623 | − | 17.5230i | −0.0870127 | − | 0.973502i | ||||
\(19\) | 12.0416 | + | 29.0709i | 0.633766 | + | 1.53005i | 0.834853 | + | 0.550474i | \(0.185553\pi\) |
−0.201086 | + | 0.979574i | \(0.564447\pi\) | |||||||
\(20\) | 12.4459 | + | 2.71018i | 0.622293 | + | 0.135509i | ||||
\(21\) | 1.92951 | − | 2.50021i | 0.0918812 | − | 0.119058i | ||||
\(22\) | 15.7335 | + | 30.0858i | 0.715160 | + | 1.36753i | ||||
\(23\) | 7.09691 | − | 7.09691i | 0.308561 | − | 0.308561i | −0.535790 | − | 0.844351i | \(-0.679986\pi\) |
0.844351 | + | 0.535790i | \(0.179986\pi\) | |||||||
\(24\) | 3.58106 | + | 0.450948i | 0.149211 | + | 0.0187895i | ||||
\(25\) | 10.5074 | + | 10.5074i | 0.420297 | + | 0.420297i | ||||
\(26\) | −15.8621 | − | 4.96858i | −0.610082 | − | 0.191099i | ||||
\(27\) | −3.07263 | + | 7.41799i | −0.113801 | + | 0.274740i | ||||
\(28\) | −18.0192 | − | 21.4315i | −0.643542 | − | 0.765411i | ||||
\(29\) | −6.56941 | − | 15.8600i | −0.226531 | − | 0.546895i | 0.769219 | − | 0.638985i | \(-0.220645\pi\) |
−0.995751 | + | 0.0920896i | \(0.970645\pi\) | |||||||
\(30\) | −2.20460 | − | 1.84283i | −0.0734866 | − | 0.0614278i | ||||
\(31\) | 57.4959i | 1.85471i | 0.374188 | + | 0.927353i | \(0.377921\pi\) | ||||
−0.374188 | + | 0.927353i | \(0.622079\pi\) | |||||||
\(32\) | 10.6618 | − | 30.1716i | 0.333183 | − | 0.942862i | ||||
\(33\) | − | 7.65888i | − | 0.232087i | ||||||
\(34\) | −25.3651 | + | 30.3445i | −0.746032 | + | 0.892484i | ||||
\(35\) | 2.84829 | + | 22.1079i | 0.0813797 | + | 0.631655i | ||||
\(36\) | 28.8981 | + | 20.0734i | 0.802725 | + | 0.557593i | ||||
\(37\) | 1.99927 | + | 0.828124i | 0.0540342 | + | 0.0223817i | 0.409537 | − | 0.912294i | \(-0.365690\pi\) |
−0.355503 | + | 0.934675i | \(0.615690\pi\) | |||||||
\(38\) | −60.0550 | − | 18.8114i | −1.58039 | − | 0.495036i | ||||
\(39\) | 2.65142 | + | 2.65142i | 0.0679851 | + | 0.0679851i | ||||
\(40\) | −20.1230 | + | 15.6218i | −0.503076 | + | 0.390546i | ||||
\(41\) | −10.4173 | − | 10.4173i | −0.254080 | − | 0.254080i | 0.568561 | − | 0.822641i | \(-0.307500\pi\) |
−0.822641 | + | 0.568561i | \(0.807500\pi\) | |||||||
\(42\) | 1.36160 | + | 6.16784i | 0.0324192 | + | 0.146853i | ||||
\(43\) | −6.95080 | + | 16.7807i | −0.161647 | + | 0.390249i | −0.983862 | − | 0.178926i | \(-0.942738\pi\) |
0.822216 | + | 0.569176i | \(0.192738\pi\) | |||||||
\(44\) | −66.3479 | − | 14.4478i | −1.50791 | − | 0.328359i | ||||
\(45\) | −10.7194 | − | 25.8790i | −0.238210 | − | 0.575089i | ||||
\(46\) | 1.78703 | + | 19.9934i | 0.0388485 | + | 0.434639i | ||||
\(47\) | 58.0268 | 1.23461 | 0.617307 | − | 0.786723i | \(-0.288224\pi\) | ||||
0.617307 | + | 0.786723i | \(0.288224\pi\) | |||||||
\(48\) | −5.28539 | + | 4.91670i | −0.110112 | + | 0.102431i | ||||
\(49\) | 24.7347 | − | 42.2989i | 0.504790 | − | 0.863242i | ||||
\(50\) | −29.6014 | + | 2.64581i | −0.592029 | + | 0.0529162i | ||||
\(51\) | 8.24262 | − | 3.41420i | 0.161620 | − | 0.0669452i | ||||
\(52\) | 27.9706 | − | 17.9673i | 0.537896 | − | 0.345524i | ||||
\(53\) | −8.74141 | + | 21.1036i | −0.164932 | + | 0.398182i | −0.984639 | − | 0.174601i | \(-0.944136\pi\) |
0.819707 | + | 0.572783i | \(0.194136\pi\) | |||||||
\(54\) | −7.44165 | − | 14.2300i | −0.137808 | − | 0.263518i | ||||
\(55\) | 38.2241 | + | 38.2241i | 0.694984 | + | 0.694984i | ||||
\(56\) | 55.9998 | − | 0.160346i | 0.999996 | − | 0.00286332i | ||||
\(57\) | 10.0384 | + | 10.0384i | 0.176113 | + | 0.176113i | ||||
\(58\) | 32.7637 | + | 10.2628i | 0.564891 | + | 0.176944i | ||||
\(59\) | 28.6149 | − | 69.0826i | 0.484999 | − | 1.17089i | −0.472208 | − | 0.881487i | \(-0.656543\pi\) |
0.957207 | − | 0.289404i | \(-0.0934571\pi\) | |||||||
\(60\) | 5.65566 | − | 1.01916i | 0.0942610 | − | 0.0169860i | ||||
\(61\) | −24.1717 | + | 10.0122i | −0.396257 | + | 0.164135i | −0.571908 | − | 0.820317i | \(-0.693797\pi\) |
0.175652 | + | 0.984452i | \(0.443797\pi\) | |||||||
\(62\) | −88.2274 | − | 73.7497i | −1.42302 | − | 1.18951i | ||||
\(63\) | −16.1015 | + | 59.4326i | −0.255579 | + | 0.943375i | ||||
\(64\) | 32.6224 | + | 55.0616i | 0.509725 | + | 0.860337i | ||||
\(65\) | −26.4655 | −0.407162 | ||||||||
\(66\) | 11.7525 | + | 9.82401i | 0.178069 | + | 0.148849i | ||||
\(67\) | −42.9123 | − | 103.599i | −0.640482 | − | 1.54626i | −0.826031 | − | 0.563625i | \(-0.809406\pi\) |
0.185549 | − | 0.982635i | \(-0.440594\pi\) | |||||||
\(68\) | −14.0279 | − | 77.8454i | −0.206292 | − | 1.14479i | ||||
\(69\) | 1.73285 | − | 4.18347i | 0.0251138 | − | 0.0606300i | ||||
\(70\) | −37.5781 | − | 23.9871i | −0.536830 | − | 0.342672i | ||||
\(71\) | 44.2875 | + | 44.2875i | 0.623767 | + | 0.623767i | 0.946493 | − | 0.322726i | \(-0.104599\pi\) |
−0.322726 | + | 0.946493i | \(0.604599\pi\) | |||||||
\(72\) | −67.8701 | + | 18.5961i | −0.942640 | + | 0.258280i | ||||
\(73\) | −7.91330 | − | 7.91330i | −0.108401 | − | 0.108401i | 0.650826 | − | 0.759227i | \(-0.274423\pi\) |
−0.759227 | + | 0.650826i | \(0.774423\pi\) | |||||||
\(74\) | −3.83521 | + | 2.00564i | −0.0518271 | + | 0.0271033i | ||||
\(75\) | 6.19389 | + | 2.56559i | 0.0825852 | + | 0.0342079i | ||||
\(76\) | 105.898 | − | 68.0251i | 1.39340 | − | 0.895067i | ||||
\(77\) | −15.1840 | − | 117.856i | −0.197195 | − | 1.53059i | ||||
\(78\) | −7.46956 | + | 0.667638i | −0.0957636 | + | 0.00855946i | ||||
\(79\) | − | 67.3177i | − | 0.852123i | −0.904694 | − | 0.426062i | \(-0.859901\pi\) | ||
0.904694 | − | 0.426062i | \(-0.140099\pi\) | |||||||
\(80\) | 1.84003 | − | 50.9168i | 0.0230004 | − | 0.636460i | ||||
\(81\) | − | 75.5455i | − | 0.932661i | ||||||
\(82\) | 29.3475 | − | 2.62311i | 0.357896 | − | 0.0319892i | ||||
\(83\) | −20.0858 | − | 48.4914i | −0.241998 | − | 0.584234i | 0.755484 | − | 0.655168i | \(-0.227402\pi\) |
−0.997481 | + | 0.0709340i | \(0.977402\pi\) | |||||||
\(84\) | −11.2111 | − | 5.82208i | −0.133465 | − | 0.0693104i | ||||
\(85\) | −24.0978 | + | 58.1772i | −0.283503 | + | 0.684437i | ||||
\(86\) | −16.8343 | − | 32.1906i | −0.195747 | − | 0.374309i | ||||
\(87\) | −5.47658 | − | 5.47658i | −0.0629492 | − | 0.0629492i | ||||
\(88\) | 107.274 | − | 83.2788i | 1.21903 | − | 0.946350i | ||||
\(89\) | 88.5557 | − | 88.5557i | 0.995008 | − | 0.995008i | −0.00497939 | − | 0.999988i | \(-0.501585\pi\) |
0.999988 | + | 0.00497939i | \(0.00158500\pi\) | |||||||
\(90\) | 53.4611 | + | 16.7459i | 0.594012 | + | 0.186066i | ||||
\(91\) | 46.0569 | + | 35.5438i | 0.506120 | + | 0.390591i | ||||
\(92\) | −32.9721 | − | 22.9032i | −0.358392 | − | 0.248948i | ||||
\(93\) | 9.92690 | + | 23.9657i | 0.106741 | + | 0.257695i | ||||
\(94\) | −74.4308 | + | 89.0422i | −0.791817 | + | 0.947257i | ||||
\(95\) | −100.200 | −1.05474 | ||||||||
\(96\) | −0.765137 | − | 14.4171i | −0.00797018 | − | 0.150178i | ||||
\(97\) | − | 172.596i | − | 1.77934i | −0.456604 | − | 0.889670i | \(-0.650934\pi\) | ||
0.456604 | − | 0.889670i | \(-0.349066\pi\) | |||||||
\(98\) | 33.1805 | + | 92.2120i | 0.338577 | + | 0.940939i | ||||
\(99\) | 57.1445 | + | 137.959i | 0.577217 | + | 1.39353i | ||||
\(100\) | 33.9097 | − | 48.8172i | 0.339097 | − | 0.488172i | ||||
\(101\) | −23.8569 | + | 57.5957i | −0.236207 | + | 0.570254i | −0.996884 | − | 0.0788758i | \(-0.974867\pi\) |
0.760677 | + | 0.649130i | \(0.224867\pi\) | |||||||
\(102\) | −5.33368 | + | 17.0277i | −0.0522910 | + | 0.166938i | ||||
\(103\) | −115.403 | + | 115.403i | −1.12042 | + | 1.12042i | −0.128738 | + | 0.991679i | \(0.541093\pi\) |
−0.991679 | + | 0.128738i | \(0.958907\pi\) | |||||||
\(104\) | −8.30700 | + | 65.9674i | −0.0798750 | + | 0.634302i | ||||
\(105\) | 5.00426 | + | 8.72335i | 0.0476597 | + | 0.0830795i | ||||
\(106\) | −21.1710 | − | 40.4832i | −0.199726 | − | 0.381917i | ||||
\(107\) | −17.9072 | + | 43.2319i | −0.167357 | + | 0.404036i | −0.985201 | − | 0.171405i | \(-0.945169\pi\) |
0.817843 | + | 0.575441i | \(0.195169\pi\) | |||||||
\(108\) | 31.3813 | + | 6.83352i | 0.290567 | + | 0.0632734i | ||||
\(109\) | −153.129 | + | 63.4280i | −1.40485 | + | 0.581908i | −0.951006 | − | 0.309173i | \(-0.899948\pi\) |
−0.453844 | + | 0.891081i | \(0.649948\pi\) | |||||||
\(110\) | −107.685 | + | 9.62498i | −0.978953 | + | 0.0874998i | ||||
\(111\) | 0.976322 | 0.00879569 | ||||||||
\(112\) | −71.5846 | + | 86.1373i | −0.639149 | + | 0.769083i | ||||
\(113\) | 134.192i | 1.18754i | 0.804636 | + | 0.593768i | \(0.202360\pi\) | ||||
−0.804636 | + | 0.593768i | \(0.797640\pi\) | |||||||
\(114\) | −28.2802 | + | 2.52772i | −0.248072 | + | 0.0221730i | ||||
\(115\) | 12.2306 | + | 29.5273i | 0.106353 | + | 0.256759i | ||||
\(116\) | −57.7740 | + | 37.1119i | −0.498052 | + | 0.319930i | ||||
\(117\) | −67.5427 | − | 27.9771i | −0.577288 | − | 0.239120i | ||||
\(118\) | 69.3029 | + | 132.522i | 0.587313 | + | 1.12306i | ||||
\(119\) | 120.070 | − | 68.8795i | 1.00899 | − | 0.578820i | ||||
\(120\) | −5.69059 | + | 9.98588i | −0.0474216 | + | 0.0832157i | ||||
\(121\) | −118.210 | − | 118.210i | −0.976942 | − | 0.976942i | ||||
\(122\) | 15.6411 | − | 49.9341i | 0.128206 | − | 0.409296i | ||||
\(123\) | −6.14076 | − | 2.54358i | −0.0499248 | − | 0.0206795i | ||||
\(124\) | 226.338 | − | 40.7865i | 1.82531 | − | 0.328923i | ||||
\(125\) | −117.267 | + | 48.5734i | −0.938133 | + | 0.388587i | ||||
\(126\) | −70.5461 | − | 100.942i | −0.559889 | − | 0.801125i | ||||
\(127\) | 190.256 | 1.49808 | 0.749038 | − | 0.662527i | \(-0.230516\pi\) | ||||
0.749038 | + | 0.662527i | \(0.230516\pi\) | |||||||
\(128\) | −126.337 | − | 20.5682i | −0.987005 | − | 0.160689i | ||||
\(129\) | 8.19469i | 0.0635248i | ||||||||
\(130\) | 33.9472 | − | 40.6113i | 0.261132 | − | 0.312395i | ||||
\(131\) | −119.872 | + | 49.6526i | −0.915053 | + | 0.379027i | −0.789989 | − | 0.613121i | \(-0.789914\pi\) |
−0.125064 | + | 0.992149i | \(0.539914\pi\) | |||||||
\(132\) | −30.1499 | + | 5.43306i | −0.228408 | + | 0.0411596i | ||||
\(133\) | 174.374 | + | 134.571i | 1.31108 | + | 1.01181i | ||||
\(134\) | 214.017 | + | 67.0376i | 1.59714 | + | 0.500281i | ||||
\(135\) | −18.0793 | − | 18.0793i | −0.133920 | − | 0.133920i | ||||
\(136\) | 137.447 | + | 78.3262i | 1.01064 | + | 0.575928i | ||||
\(137\) | −43.2162 | + | 43.2162i | −0.315446 | + | 0.315446i | −0.847015 | − | 0.531569i | \(-0.821603\pi\) |
0.531569 | + | 0.847015i | \(0.321603\pi\) | |||||||
\(138\) | 4.19682 | + | 8.02519i | 0.0304117 | + | 0.0581535i | ||||
\(139\) | 32.3411 | + | 13.3961i | 0.232670 | + | 0.0963751i | 0.495972 | − | 0.868338i | \(-0.334812\pi\) |
−0.263302 | + | 0.964713i | \(0.584812\pi\) | |||||||
\(140\) | 85.0094 | − | 26.8955i | 0.607210 | − | 0.192111i | ||||
\(141\) | 24.1870 | − | 10.0186i | 0.171539 | − | 0.0710537i | ||||
\(142\) | −124.766 | + | 11.1518i | −0.878637 | + | 0.0785335i | ||||
\(143\) | 141.086 | 0.986613 | ||||||||
\(144\) | 58.5209 | − | 128.000i | 0.406395 | − | 0.888887i | ||||
\(145\) | 54.6653 | 0.377002 | ||||||||
\(146\) | 22.2933 | − | 1.99260i | 0.152694 | − | 0.0136479i | ||||
\(147\) | 3.00694 | − | 21.9017i | 0.0204554 | − | 0.148991i | ||||
\(148\) | 1.84174 | − | 8.45776i | 0.0124442 | − | 0.0571470i | ||||
\(149\) | 63.9067 | − | 154.284i | 0.428904 | − | 1.03547i | −0.550732 | − | 0.834682i | \(-0.685651\pi\) |
0.979636 | − | 0.200783i | \(-0.0643486\pi\) | |||||||
\(150\) | −11.8818 | + | 6.21365i | −0.0792119 | + | 0.0414243i | ||||
\(151\) | −107.590 | + | 107.590i | −0.712515 | + | 0.712515i | −0.967061 | − | 0.254545i | \(-0.918074\pi\) |
0.254545 | + | 0.967061i | \(0.418074\pi\) | |||||||
\(152\) | −31.4508 | + | 249.756i | −0.206913 | + | 1.64313i | ||||
\(153\) | −123.000 | + | 123.000i | −0.803921 | + | 0.803921i | ||||
\(154\) | 200.326 | + | 127.873i | 1.30082 | + | 0.830346i | ||||
\(155\) | −169.152 | − | 70.0650i | −1.09130 | − | 0.452032i | ||||
\(156\) | 8.55669 | − | 12.3184i | 0.0548506 | − | 0.0789642i | ||||
\(157\) | −117.414 | + | 48.6344i | −0.747859 | + | 0.309773i | −0.723868 | − | 0.689939i | \(-0.757637\pi\) |
−0.0239914 | + | 0.999712i | \(0.507637\pi\) | |||||||
\(158\) | 103.299 | + | 86.3482i | 0.653792 | + | 0.546508i | ||||
\(159\) | 10.3057i | 0.0648160i | ||||||||
\(160\) | 75.7717 | + | 68.1344i | 0.473573 | + | 0.425840i | ||||
\(161\) | 18.3714 | − | 67.8113i | 0.114108 | − | 0.421188i | ||||
\(162\) | 115.925 | + | 96.9020i | 0.715584 | + | 0.598160i | ||||
\(163\) | −29.0181 | − | 70.0560i | −0.178025 | − | 0.429791i | 0.809527 | − | 0.587083i | \(-0.199724\pi\) |
−0.987552 | + | 0.157292i | \(0.949724\pi\) | |||||||
\(164\) | −33.6188 | + | 48.3984i | −0.204992 | + | 0.295112i | ||||
\(165\) | 22.5323 | + | 9.33318i | 0.136559 | + | 0.0565647i | ||||
\(166\) | 100.174 | + | 31.3781i | 0.603458 | + | 0.189025i | ||||
\(167\) | −97.2013 | + | 97.2013i | −0.582044 | + | 0.582044i | −0.935465 | − | 0.353421i | \(-0.885018\pi\) |
0.353421 | + | 0.935465i | \(0.385018\pi\) | |||||||
\(168\) | 23.3144 | − | 9.73543i | 0.138776 | − | 0.0579490i | ||||
\(169\) | 70.6587 | − | 70.6587i | 0.418099 | − | 0.418099i | ||||
\(170\) | −58.3627 | − | 111.602i | −0.343310 | − | 0.656480i | ||||
\(171\) | −255.721 | − | 105.923i | −1.49544 | − | 0.619432i | ||||
\(172\) | 70.9897 | + | 15.4586i | 0.412731 | + | 0.0898753i | ||||
\(173\) | −36.5174 | − | 88.1607i | −0.211083 | − | 0.509599i | 0.782507 | − | 0.622642i | \(-0.213941\pi\) |
−0.993590 | + | 0.113042i | \(0.963941\pi\) | |||||||
\(174\) | 15.4286 | − | 1.37903i | 0.0886701 | − | 0.00792543i | ||||
\(175\) | 100.399 | + | 27.2001i | 0.573707 | + | 0.155429i | ||||
\(176\) | −9.80908 | + | 271.434i | −0.0557334 | + | 1.54224i | ||||
\(177\) | − | 33.7358i | − | 0.190598i | ||||||
\(178\) | 22.2987 | + | 249.479i | 0.125274 | + | 1.40157i | ||||
\(179\) | −172.687 | + | 71.5291i | −0.964730 | + | 0.399604i | −0.808748 | − | 0.588156i | \(-0.799854\pi\) |
−0.155982 | + | 0.987760i | \(0.549854\pi\) | |||||||
\(180\) | −94.2710 | + | 60.5561i | −0.523728 | + | 0.336423i | ||||
\(181\) | −22.1450 | − | 9.17276i | −0.122348 | − | 0.0506782i | 0.320670 | − | 0.947191i | \(-0.396092\pi\) |
−0.443018 | + | 0.896513i | \(0.646092\pi\) | |||||||
\(182\) | −113.619 | + | 25.0824i | −0.624280 | + | 0.137815i | ||||
\(183\) | −8.34668 | + | 8.34668i | −0.0456103 | + | 0.0456103i | ||||
\(184\) | 77.4381 | − | 21.2177i | 0.420859 | − | 0.115314i | ||||
\(185\) | −4.87265 | + | 4.87265i | −0.0263387 | + | 0.0263387i | ||||
\(186\) | −49.5085 | − | 15.5078i | −0.266175 | − | 0.0833754i | ||||
\(187\) | 128.463 | − | 310.138i | 0.686970 | − | 1.65849i | ||||
\(188\) | −41.1631 | − | 228.428i | −0.218953 | − | 1.21504i | ||||
\(189\) | 7.18175 | + | 55.7435i | 0.0379987 | + | 0.294939i | ||||
\(190\) | 128.526 | − | 153.757i | 0.676454 | − | 0.809247i | ||||
\(191\) | 217.171 | 1.13702 | 0.568509 | − | 0.822677i | \(-0.307520\pi\) | ||||
0.568509 | + | 0.822677i | \(0.307520\pi\) | |||||||
\(192\) | 23.1044 | + | 17.3186i | 0.120336 | + | 0.0902011i | ||||
\(193\) | −56.5065 | −0.292780 | −0.146390 | − | 0.989227i | \(-0.546765\pi\) | ||||
−0.146390 | + | 0.989227i | \(0.546765\pi\) | |||||||
\(194\) | 264.849 | + | 221.388i | 1.36520 | + | 1.14118i | ||||
\(195\) | −11.0315 | + | 4.56938i | −0.0565716 | + | 0.0234327i | ||||
\(196\) | −184.060 | − | 67.3645i | −0.939081 | − | 0.343696i | ||||
\(197\) | −291.316 | − | 120.667i | −1.47876 | − | 0.612524i | −0.509925 | − | 0.860219i | \(-0.670327\pi\) |
−0.968838 | + | 0.247695i | \(0.920327\pi\) | |||||||
\(198\) | −284.997 | − | 89.2713i | −1.43938 | − | 0.450865i | ||||
\(199\) | 58.9140 | − | 58.9140i | 0.296050 | − | 0.296050i | −0.543414 | − | 0.839465i | \(-0.682869\pi\) |
0.839465 | + | 0.543414i | \(0.182869\pi\) | |||||||
\(200\) | 31.4142 | + | 114.652i | 0.157071 | + | 0.573260i | ||||
\(201\) | −35.7737 | − | 35.7737i | −0.177979 | − | 0.177979i | ||||
\(202\) | −57.7794 | − | 110.486i | −0.286037 | − | 0.546961i | ||||
\(203\) | −95.1318 | − | 73.4168i | −0.468630 | − | 0.361659i | ||||
\(204\) | −19.2875 | − | 30.0259i | −0.0945466 | − | 0.147186i | ||||
\(205\) | 43.3420 | − | 17.9528i | 0.211424 | − | 0.0875749i | ||||
\(206\) | −29.0589 | − | 325.113i | −0.141063 | − | 1.57822i | ||||
\(207\) | 88.2859i | 0.426502i | ||||||||
\(208\) | −90.5716 | − | 97.3632i | −0.435440 | − | 0.468092i | ||||
\(209\) | 534.159 | 2.55578 | ||||||||
\(210\) | −19.8049 | − | 3.51037i | −0.0943092 | − | 0.0167160i | ||||
\(211\) | 97.9489 | − | 40.5717i | 0.464213 | − | 0.192283i | −0.138303 | − | 0.990390i | \(-0.544165\pi\) |
0.602516 | + | 0.798107i | \(0.294165\pi\) | |||||||
\(212\) | 89.2775 | + | 19.4409i | 0.421120 | + | 0.0917022i | ||||
\(213\) | 26.1065 | + | 10.8137i | 0.122566 | + | 0.0507684i | ||||
\(214\) | −43.3698 | − | 82.9320i | −0.202663 | − | 0.387533i | ||||
\(215\) | −40.8983 | − | 40.8983i | −0.190225 | − | 0.190225i | ||||
\(216\) | −50.7387 | + | 39.3893i | −0.234901 | + | 0.182358i | ||||
\(217\) | 200.269 | + | 349.106i | 0.922900 | + | 1.60878i | ||||
\(218\) | 99.0873 | − | 316.335i | 0.454529 | − | 1.45108i | ||||
\(219\) | −4.66472 | − | 1.93219i | −0.0213001 | − | 0.00882278i | ||||
\(220\) | 123.357 | − | 177.588i | 0.560715 | − | 0.807219i | ||||
\(221\) | 62.8938 | + | 151.839i | 0.284587 | + | 0.687054i | ||||
\(222\) | −1.25232 | + | 1.49817i | −0.00564110 | + | 0.00674850i | ||||
\(223\) | 264.598i | 1.18654i | 0.805004 | + | 0.593270i | \(0.202163\pi\) | ||||
−0.805004 | + | 0.593270i | \(0.797837\pi\) | |||||||
\(224\) | −40.3564 | − | 220.335i | −0.180163 | − | 0.983637i | ||||
\(225\) | −130.713 | −0.580946 | ||||||||
\(226\) | −205.917 | − | 172.127i | −0.911137 | − | 0.761624i | ||||
\(227\) | −121.090 | + | 50.1573i | −0.533438 | + | 0.220957i | −0.633108 | − | 0.774063i | \(-0.718221\pi\) |
0.0996703 | + | 0.995021i | \(0.468221\pi\) | |||||||
\(228\) | 32.3961 | − | 46.6383i | 0.142088 | − | 0.204554i | ||||
\(229\) | −101.966 | + | 246.167i | −0.445266 | + | 1.07497i | 0.528809 | + | 0.848741i | \(0.322639\pi\) |
−0.974075 | + | 0.226226i | \(0.927361\pi\) | |||||||
\(230\) | −60.9979 | − | 19.1067i | −0.265208 | − | 0.0830726i | ||||
\(231\) | −26.6774 | − | 46.5035i | −0.115486 | − | 0.201314i | ||||
\(232\) | 17.1583 | − | 136.258i | 0.0739584 | − | 0.587317i | ||||
\(233\) | 52.0748 | − | 52.0748i | 0.223497 | − | 0.223497i | −0.586472 | − | 0.809969i | \(-0.699484\pi\) |
0.809969 | + | 0.586472i | \(0.199484\pi\) | |||||||
\(234\) | 129.568 | − | 67.7581i | 0.553708 | − | 0.289565i | ||||
\(235\) | −70.7120 | + | 170.714i | −0.300902 | + | 0.726442i | ||||
\(236\) | −292.249 | − | 63.6395i | −1.23834 | − | 0.269659i | ||||
\(237\) | −11.6227 | − | 28.0597i | −0.0490409 | − | 0.118395i | ||||
\(238\) | −48.3173 | + | 272.598i | −0.203014 | + | 1.14537i | ||||
\(239\) | − | 244.036i | − | 1.02107i | −0.859857 | − | 0.510535i | \(-0.829448\pi\) | ||
0.859857 | − | 0.510535i | \(-0.170552\pi\) | |||||||
\(240\) | −8.02404 | − | 21.5411i | −0.0334335 | − | 0.0897544i | ||||
\(241\) | 313.734 | 1.30180 | 0.650901 | − | 0.759163i | \(-0.274391\pi\) | ||||
0.650901 | + | 0.759163i | \(0.274391\pi\) | |||||||
\(242\) | 333.021 | − | 29.7657i | 1.37612 | − | 0.122999i | ||||
\(243\) | −40.6969 | − | 98.2511i | −0.167477 | − | 0.404326i | ||||
\(244\) | 56.5610 | + | 88.0515i | 0.231807 | + | 0.360867i | ||||
\(245\) | 94.3006 | + | 124.315i | 0.384900 | + | 0.507408i | ||||
\(246\) | 11.7799 | − | 6.16034i | 0.0478856 | − | 0.0250421i | ||||
\(247\) | −184.920 | + | 184.920i | −0.748664 | + | 0.748664i | ||||
\(248\) | −227.736 | + | 399.632i | −0.918290 | + | 1.61142i | ||||
\(249\) | −16.7445 | − | 16.7445i | −0.0672469 | − | 0.0672469i | ||||
\(250\) | 75.8815 | − | 242.251i | 0.303526 | − | 0.969003i | ||||
\(251\) | 176.009 | − | 424.923i | 0.701230 | − | 1.69292i | −0.0196000 | − | 0.999808i | \(-0.506239\pi\) |
0.720830 | − | 0.693112i | \(-0.243761\pi\) | |||||||
\(252\) | 245.384 | + | 21.2247i | 0.973747 | + | 0.0842249i | ||||
\(253\) | −65.2005 | − | 157.408i | −0.257710 | − | 0.622166i | ||||
\(254\) | −244.040 | + | 291.947i | −0.960789 | + | 1.14940i | ||||
\(255\) | 28.4102i | 0.111413i | ||||||||
\(256\) | 193.613 | − | 167.481i | 0.756303 | − | 0.654222i | ||||
\(257\) | 19.1148i | 0.0743765i | 0.999308 | + | 0.0371883i | \(0.0118401\pi\) | ||||
−0.999308 | + | 0.0371883i | \(0.988160\pi\) | |||||||
\(258\) | −12.5748 | − | 10.5113i | −0.0487394 | − | 0.0407415i | ||||
\(259\) | 15.0238 | − | 1.93560i | 0.0580068 | − | 0.00747334i | ||||
\(260\) | 18.7741 | + | 104.184i | 0.0722083 | + | 0.400708i | ||||
\(261\) | 139.511 | + | 57.7875i | 0.534526 | + | 0.221408i | ||||
\(262\) | 77.5674 | − | 247.633i | 0.296059 | − | 0.945163i | ||||
\(263\) | −152.437 | − | 152.437i | −0.579608 | − | 0.579608i | 0.355187 | − | 0.934795i | \(-0.384417\pi\) |
−0.934795 | + | 0.355187i | \(0.884417\pi\) | |||||||
\(264\) | 30.3361 | − | 53.2340i | 0.114909 | − | 0.201644i | ||||
\(265\) | −51.4342 | − | 51.4342i | −0.194091 | − | 0.194091i | ||||
\(266\) | −430.168 | + | 94.9634i | −1.61717 | + | 0.357005i | ||||
\(267\) | 21.6226 | − | 52.2017i | 0.0809837 | − | 0.195512i | ||||
\(268\) | −377.388 | + | 242.420i | −1.40816 | + | 0.904551i | ||||
\(269\) | −70.0015 | − | 168.998i | −0.260228 | − | 0.628247i | 0.738724 | − | 0.674008i | \(-0.235429\pi\) |
−0.998952 | + | 0.0457610i | \(0.985429\pi\) | |||||||
\(270\) | 50.9328 | − | 4.55243i | 0.188640 | − | 0.0168609i | ||||
\(271\) | 204.374 | 0.754149 | 0.377075 | − | 0.926183i | \(-0.376930\pi\) | ||||
0.377075 | + | 0.926183i | \(0.376930\pi\) | |||||||
\(272\) | −296.495 | + | 110.444i | −1.09005 | + | 0.406045i | ||||
\(273\) | 25.3344 | + | 6.86360i | 0.0928000 | + | 0.0251414i | ||||
\(274\) | −10.8820 | − | 121.748i | −0.0397153 | − | 0.444337i | ||||
\(275\) | 233.052 | − | 96.5335i | 0.847463 | − | 0.351031i | ||||
\(276\) | −17.6979 | − | 3.85386i | −0.0641228 | − | 0.0139632i | ||||
\(277\) | 76.2401 | − | 184.060i | 0.275235 | − | 0.664476i | −0.724456 | − | 0.689321i | \(-0.757909\pi\) |
0.999691 | + | 0.0248448i | \(0.00790917\pi\) | |||||||
\(278\) | −62.0402 | + | 32.4443i | −0.223166 | + | 0.116706i | ||||
\(279\) | −357.626 | − | 357.626i | −1.28181 | − | 1.28181i | ||||
\(280\) | −67.7701 | + | 164.946i | −0.242036 | + | 0.589092i | ||||
\(281\) | −120.070 | − | 120.070i | −0.427294 | − | 0.427294i | 0.460411 | − | 0.887706i | \(-0.347702\pi\) |
−0.887706 | + | 0.460411i | \(0.847702\pi\) | |||||||
\(282\) | −15.6510 | + | 49.9657i | −0.0555001 | + | 0.177183i | ||||
\(283\) | 63.8655 | − | 154.185i | 0.225673 | − | 0.544823i | −0.769969 | − | 0.638081i | \(-0.779728\pi\) |
0.995642 | + | 0.0932585i | \(0.0297283\pi\) | |||||||
\(284\) | 142.925 | − | 205.758i | 0.503257 | − | 0.724502i | ||||
\(285\) | −41.7658 | + | 17.3000i | −0.146547 | + | 0.0607016i | ||||
\(286\) | −180.970 | + | 216.496i | −0.632763 | + | 0.756979i | ||||
\(287\) | −99.5375 | − | 26.9667i | −0.346820 | − | 0.0939606i | ||||
\(288\) | 121.351 | + | 253.985i | 0.421358 | + | 0.881893i | ||||
\(289\) | 102.043 | 0.353091 | ||||||||
\(290\) | −70.1190 | + | 83.8839i | −0.241790 | + | 0.289255i | ||||
\(291\) | −29.7994 | − | 71.9422i | −0.102404 | − | 0.247224i | ||||
\(292\) | −25.5379 | + | 36.7650i | −0.0874586 | + | 0.125908i | ||||
\(293\) | −202.858 | + | 489.743i | −0.692349 | + | 1.67148i | 0.0476440 | + | 0.998864i | \(0.484829\pi\) |
−0.739993 | + | 0.672614i | \(0.765171\pi\) | |||||||
\(294\) | 29.7512 | + | 32.7074i | 0.101195 | + | 0.111250i | ||||
\(295\) | 168.369 | + | 168.369i | 0.570743 | + | 0.570743i | ||||
\(296\) | 10.6160 | + | 13.6749i | 0.0358650 | + | 0.0461990i | ||||
\(297\) | 96.3792 | + | 96.3792i | 0.324509 | + | 0.324509i | ||||
\(298\) | 154.776 | + | 295.965i | 0.519384 | + | 0.993170i | ||||
\(299\) | 77.0646 | + | 31.9212i | 0.257741 | + | 0.106760i | ||||
\(300\) | 5.70587 | − | 26.2028i | 0.0190196 | − | 0.0873428i | ||||
\(301\) | 16.2463 | + | 126.101i | 0.0539744 | + | 0.418940i | ||||
\(302\) | −27.0915 | − | 303.102i | −0.0897071 | − | 1.00365i | ||||
\(303\) | 28.1263i | 0.0928260i | ||||||||
\(304\) | −342.909 | − | 368.623i | −1.12799 | − | 1.21258i | ||||
\(305\) | − | 83.3136i | − | 0.273159i | ||||||
\(306\) | −30.9719 | − | 346.515i | −0.101215 | − | 1.13240i | ||||
\(307\) | 109.186 | + | 263.598i | 0.355654 | + | 0.858626i | 0.995900 | + | 0.0904557i | \(0.0288324\pi\) |
−0.640246 | + | 0.768170i | \(0.721168\pi\) | |||||||
\(308\) | −453.179 | + | 143.378i | −1.47136 | + | 0.465513i | ||||
\(309\) | −28.1779 | + | 68.0275i | −0.0911907 | + | 0.220154i | ||||
\(310\) | 324.485 | − | 169.691i | 1.04673 | − | 0.547392i | ||||
\(311\) | 0.155564 | + | 0.155564i | 0.000500204 | + | 0.000500204i | 0.707357 | − | 0.706857i | \(-0.249887\pi\) |
−0.706857 | + | 0.707357i | \(0.749887\pi\) | |||||||
\(312\) | 7.92699 | + | 28.9310i | 0.0254070 | + | 0.0927277i | ||||
\(313\) | −270.868 | + | 270.868i | −0.865393 | + | 0.865393i | −0.991958 | − | 0.126565i | \(-0.959605\pi\) |
0.126565 | + | 0.991958i | \(0.459605\pi\) | |||||||
\(314\) | 75.9768 | − | 242.555i | 0.241964 | − | 0.772468i | ||||
\(315\) | −155.228 | − | 119.796i | −0.492789 | − | 0.380303i | ||||
\(316\) | −265.003 | + | 47.7540i | −0.838616 | + | 0.151120i | ||||
\(317\) | 65.5485 | + | 158.248i | 0.206777 | + | 0.499205i | 0.992912 | − | 0.118850i | \(-0.0379208\pi\) |
−0.786135 | + | 0.618055i | \(0.787921\pi\) | |||||||
\(318\) | −15.8142 | − | 13.2191i | −0.0497301 | − | 0.0415696i | ||||
\(319\) | −291.417 | −0.913532 | ||||||||
\(320\) | −201.744 | + | 28.8760i | −0.630451 | + | 0.0902375i | ||||
\(321\) | 21.1118i | 0.0657690i | ||||||||
\(322\) | 80.4914 | + | 115.172i | 0.249973 | + | 0.357678i | ||||
\(323\) | 238.120 | + | 574.872i | 0.737212 | + | 1.77979i | ||||
\(324\) | −297.392 | + | 53.5906i | −0.917877 | + | 0.165403i | ||||
\(325\) | −47.2613 | + | 114.099i | −0.145420 | + | 0.351074i | ||||
\(326\) | 144.722 | + | 45.3322i | 0.443934 | + | 0.139056i | ||||
\(327\) | −52.8766 | + | 52.8766i | −0.161702 | + | 0.161702i | ||||
\(328\) | −31.1447 | − | 113.668i | −0.0949533 | − | 0.346550i | ||||
\(329\) | 352.330 | − | 202.119i | 1.07091 | − | 0.614343i | ||||
\(330\) | −43.2238 | + | 22.6042i | −0.130981 | + | 0.0684975i | ||||
\(331\) | 169.665 | − | 409.607i | 0.512582 | − | 1.23748i | −0.429793 | − | 0.902927i | \(-0.641414\pi\) |
0.942376 | − | 0.334556i | \(-0.108586\pi\) | |||||||
\(332\) | −176.642 | + | 113.469i | −0.532056 | + | 0.341773i | ||||
\(333\) | −17.5865 | + | 7.28455i | −0.0528122 | + | 0.0218755i | ||||
\(334\) | −24.4757 | − | 273.835i | −0.0732805 | − | 0.819866i | ||||
\(335\) | 357.081 | 1.06591 | ||||||||
\(336\) | −14.9662 | + | 48.2635i | −0.0445424 | + | 0.143641i | ||||
\(337\) | − | 345.375i | − | 1.02485i | −0.858731 | − | 0.512426i | \(-0.828747\pi\) | ||
0.858731 | − | 0.512426i | \(-0.171253\pi\) | |||||||
\(338\) | 17.7922 | + | 199.060i | 0.0526395 | + | 0.588934i | ||||
\(339\) | 23.1687 | + | 55.9343i | 0.0683444 | + | 0.164998i | ||||
\(340\) | 246.114 | + | 53.5934i | 0.723866 | + | 0.157628i | ||||
\(341\) | 901.736 | + | 373.511i | 2.64439 | + | 1.09534i | ||||
\(342\) | 490.551 | − | 256.536i | 1.43436 | − | 0.750106i | ||||
\(343\) | 2.85017 | − | 342.988i | 0.00830953 | − | 0.999965i | ||||
\(344\) | −114.779 | + | 89.1050i | −0.333661 | + | 0.259026i | ||||
\(345\) | 10.1960 | + | 10.1960i | 0.0295537 | + | 0.0295537i | ||||
\(346\) | 182.123 | + | 57.0475i | 0.526368 | + | 0.164877i | ||||
\(347\) | −268.661 | − | 111.283i | −0.774240 | − | 0.320701i | −0.0396513 | − | 0.999214i | \(-0.512625\pi\) |
−0.734588 | + | 0.678513i | \(0.762625\pi\) | |||||||
\(348\) | −17.6741 | + | 25.4441i | −0.0507876 | + | 0.0731151i | ||||
\(349\) | 157.574 | − | 65.2692i | 0.451501 | − | 0.187018i | −0.145333 | − | 0.989383i | \(-0.546425\pi\) |
0.596834 | + | 0.802365i | \(0.296425\pi\) | |||||||
\(350\) | −170.520 | + | 119.173i | −0.487199 | + | 0.340493i | ||||
\(351\) | −66.7308 | −0.190116 | ||||||||
\(352\) | −403.933 | − | 363.219i | −1.14754 | − | 1.03187i | ||||
\(353\) | − | 18.2232i | − | 0.0516237i | −0.999667 | − | 0.0258118i | \(-0.991783\pi\) | ||
0.999667 | − | 0.0258118i | \(-0.00821708\pi\) | |||||||
\(354\) | 51.7675 | + | 43.2727i | 0.146236 | + | 0.122239i | ||||
\(355\) | −184.262 | + | 76.3239i | −0.519048 | + | 0.214997i | ||||
\(356\) | −411.428 | − | 285.788i | −1.15570 | − | 0.802776i | ||||
\(357\) | 38.1556 | − | 49.4412i | 0.106878 | − | 0.138491i | ||||
\(358\) | 111.743 | − | 356.738i | 0.312131 | − | 0.996474i | ||||
\(359\) | 203.575 | + | 203.575i | 0.567062 | + | 0.567062i | 0.931304 | − | 0.364242i | \(-0.118672\pi\) |
−0.364242 | + | 0.931304i | \(0.618672\pi\) | |||||||
\(360\) | 27.9976 | − | 222.334i | 0.0777711 | − | 0.617594i | ||||
\(361\) | −444.852 | + | 444.852i | −1.23228 | + | 1.23228i | ||||
\(362\) | 42.4809 | − | 22.2156i | 0.117351 | − | 0.0613692i | ||||
\(363\) | −69.6822 | − | 28.8633i | −0.191962 | − | 0.0795133i | ||||
\(364\) | 107.250 | − | 206.521i | 0.294642 | − | 0.567367i | ||||
\(365\) | 32.9240 | − | 13.6376i | 0.0902028 | − | 0.0373632i | ||||
\(366\) | −2.10173 | − | 23.5142i | −0.00574243 | − | 0.0642465i | ||||
\(367\) | 198.700 | 0.541416 | 0.270708 | − | 0.962661i | \(-0.412742\pi\) | ||||
0.270708 | + | 0.962661i | \(0.412742\pi\) | |||||||
\(368\) | −66.7710 | + | 146.045i | −0.181443 | + | 0.396861i | ||||
\(369\) | 129.591 | 0.351196 | ||||||||
\(370\) | −1.22695 | − | 13.7272i | −0.00331609 | − | 0.0371006i | ||||
\(371\) | 20.4315 | + | 158.586i | 0.0550715 | + | 0.427456i | ||||
\(372\) | 87.3012 | − | 56.0790i | 0.234681 | − | 0.150750i | ||||
\(373\) | −28.5154 | + | 68.8424i | −0.0764489 | + | 0.184564i | −0.957484 | − | 0.288488i | \(-0.906848\pi\) |
0.881035 | + | 0.473052i | \(0.156848\pi\) | |||||||
\(374\) | 311.127 | + | 594.940i | 0.831892 | + | 1.59075i | ||||
\(375\) | −40.4932 | + | 40.4932i | −0.107982 | + | 0.107982i | ||||
\(376\) | 403.323 | + | 229.839i | 1.07267 | + | 0.611274i | ||||
\(377\) | 100.885 | − | 100.885i | 0.267600 | − | 0.267600i | ||||
\(378\) | −94.7504 | − | 60.4816i | −0.250662 | − | 0.160004i | ||||
\(379\) | 217.388 | + | 90.0450i | 0.573582 | + | 0.237586i | 0.650570 | − | 0.759446i | \(-0.274530\pi\) |
−0.0769874 | + | 0.997032i | \(0.524530\pi\) | |||||||
\(380\) | 71.0800 | + | 394.447i | 0.187053 | + | 1.03802i | ||||
\(381\) | 79.3032 | − | 32.8485i | 0.208145 | − | 0.0862164i | ||||
\(382\) | −278.564 | + | 333.248i | −0.729225 | + | 0.872378i | ||||
\(383\) | − | 220.607i | − | 0.575996i | −0.957631 | − | 0.287998i | \(-0.907010\pi\) | ||
0.957631 | − | 0.287998i | \(-0.0929897\pi\) | |||||||
\(384\) | −56.2114 | + | 13.2392i | −0.146384 | + | 0.0344772i | ||||
\(385\) | 365.233 | + | 98.9490i | 0.948657 | + | 0.257010i | ||||
\(386\) | 72.4806 | − | 86.7092i | 0.187774 | − | 0.224635i | ||||
\(387\) | −61.1424 | − | 147.611i | −0.157991 | − | 0.381423i | ||||
\(388\) | −679.440 | + | 122.436i | −1.75114 | + | 0.315558i | ||||
\(389\) | 355.631 | + | 147.307i | 0.914219 | + | 0.378682i | 0.789670 | − | 0.613532i | \(-0.210252\pi\) |
0.124549 | + | 0.992214i | \(0.460252\pi\) | |||||||
\(390\) | 7.13830 | − | 22.7889i | 0.0183033 | − | 0.0584331i | ||||
\(391\) | 140.340 | − | 140.340i | 0.358926 | − | 0.358926i | ||||
\(392\) | 339.464 | − | 196.032i | 0.865979 | − | 0.500081i | ||||
\(393\) | −41.3928 | + | 41.3928i | −0.105325 | + | 0.105325i | ||||
\(394\) | 558.834 | − | 292.246i | 1.41836 | − | 0.741740i | ||||
\(395\) | 198.048 | + | 82.0340i | 0.501386 | + | 0.207681i | ||||
\(396\) | 502.552 | − | 322.820i | 1.26907 | − | 0.815203i | ||||
\(397\) | −248.567 | − | 600.093i | −0.626113 | − | 1.51157i | −0.844415 | − | 0.535689i | \(-0.820052\pi\) |
0.218302 | − | 0.975881i | \(-0.429948\pi\) | |||||||
\(398\) | 14.8348 | + | 165.972i | 0.0372733 | + | 0.417016i | ||||
\(399\) | 95.9176 | + | 25.9860i | 0.240395 | + | 0.0651278i | ||||
\(400\) | −216.228 | − | 98.8586i | −0.540571 | − | 0.247146i | ||||
\(401\) | − | 115.451i | − | 0.287908i | −0.989584 | − | 0.143954i | \(-0.954018\pi\) | ||
0.989584 | − | 0.143954i | \(-0.0459817\pi\) | |||||||
\(402\) | 100.782 | − | 9.00797i | 0.250701 | − | 0.0224079i | ||||
\(403\) | −441.476 | + | 182.866i | −1.09548 | + | 0.453761i | ||||
\(404\) | 243.655 | + | 53.0577i | 0.603105 | + | 0.131331i | ||||
\(405\) | 222.254 | + | 92.0605i | 0.548775 | + | 0.227310i | ||||
\(406\) | 234.683 | − | 51.8084i | 0.578038 | − | 0.127607i | ||||
\(407\) | 25.9757 | − | 25.9757i | 0.0638225 | − | 0.0638225i | ||||
\(408\) | 70.8147 | + | 8.91740i | 0.173565 | + | 0.0218564i | ||||
\(409\) | −328.607 | + | 328.607i | −0.803441 | + | 0.803441i | −0.983632 | − | 0.180191i | \(-0.942328\pi\) |
0.180191 | + | 0.983632i | \(0.442328\pi\) | |||||||
\(410\) | −28.0460 | + | 89.5364i | −0.0684048 | + | 0.218381i | ||||
\(411\) | −10.5521 | + | 25.4750i | −0.0256742 | + | 0.0619829i | ||||
\(412\) | 536.159 | + | 372.430i | 1.30136 | + | 0.903956i | ||||
\(413\) | −66.8825 | − | 519.130i | −0.161943 | − | 1.25697i | ||||
\(414\) | −135.475 | − | 113.244i | −0.327234 | − | 0.273536i | ||||
\(415\) | 167.138 | 0.402741 | ||||||||
\(416\) | 265.580 | − | 14.0947i | 0.638413 | − | 0.0338816i | ||||
\(417\) | 15.7935 | 0.0378740 | ||||||||
\(418\) | −685.164 | + | 819.667i | −1.63915 | + | 1.96093i | ||||
\(419\) | 11.1791 | − | 4.63052i | 0.0266803 | − | 0.0110514i | −0.369303 | − | 0.929309i | \(-0.620404\pi\) |
0.395984 | + | 0.918258i | \(0.370404\pi\) | |||||||
\(420\) | 30.7904 | − | 25.8879i | 0.0733104 | − | 0.0616380i | ||||
\(421\) | −489.293 | − | 202.672i | −1.16222 | − | 0.481406i | −0.283604 | − | 0.958941i | \(-0.591530\pi\) |
−0.878613 | + | 0.477535i | \(0.841530\pi\) | |||||||
\(422\) | −63.3813 | + | 202.344i | −0.150193 | + | 0.479488i | ||||
\(423\) | −360.928 | + | 360.928i | −0.853259 | + | 0.853259i | ||||
\(424\) | −144.348 | + | 112.060i | −0.340443 | + | 0.264291i | ||||
\(425\) | 207.782 | + | 207.782i | 0.488899 | + | 0.488899i | ||||
\(426\) | −50.0803 | + | 26.1898i | −0.117559 | + | 0.0614784i | ||||
\(427\) | −111.892 | + | 144.987i | −0.262042 | + | 0.339549i | ||||
\(428\) | 182.889 | + | 39.8256i | 0.427312 | + | 0.0930505i | ||||
\(429\) | 58.8079 | − | 24.3590i | 0.137081 | − | 0.0567810i | ||||
\(430\) | 115.218 | − | 10.2984i | 0.267950 | − | 0.0239497i | ||||
\(431\) | − | 597.095i | − | 1.38537i | −0.721240 | − | 0.692685i | \(-0.756428\pi\) | ||
0.721240 | − | 0.692685i | \(-0.243572\pi\) | |||||||
\(432\) | 4.63951 | − | 128.383i | 0.0107396 | − | 0.297183i | ||||
\(433\) | −840.803 | −1.94181 | −0.970904 | − | 0.239467i | \(-0.923027\pi\) | ||||
−0.970904 | + | 0.239467i | \(0.923027\pi\) | |||||||
\(434\) | −792.588 | − | 140.484i | −1.82624 | − | 0.323696i | ||||
\(435\) | 22.7858 | − | 9.43820i | 0.0523812 | − | 0.0216970i | ||||
\(436\) | 358.317 | + | 557.811i | 0.821828 | + | 1.27938i | ||||
\(437\) | 291.771 | + | 120.856i | 0.667669 | + | 0.276557i | ||||
\(438\) | 8.94836 | − | 4.67960i | 0.0204300 | − | 0.0106840i | ||||
\(439\) | −67.9440 | − | 67.9440i | −0.154770 | − | 0.154770i | 0.625475 | − | 0.780245i | \(-0.284905\pi\) |
−0.780245 | + | 0.625475i | \(0.784905\pi\) | |||||||
\(440\) | 114.279 | + | 417.084i | 0.259726 | + | 0.947917i | ||||
\(441\) | 109.250 | + | 416.951i | 0.247732 | + | 0.945466i | ||||
\(442\) | −313.671 | − | 98.2528i | −0.709662 | − | 0.222291i | ||||
\(443\) | 268.126 | + | 111.062i | 0.605252 | + | 0.250703i | 0.664197 | − | 0.747558i | \(-0.268774\pi\) |
−0.0589452 | + | 0.998261i | \(0.518774\pi\) | |||||||
\(444\) | −0.692585 | − | 3.84338i | −0.00155988 | − | 0.00865627i | ||||
\(445\) | 152.615 | + | 368.444i | 0.342954 | + | 0.827965i | ||||
\(446\) | −406.026 | − | 339.399i | −0.910372 | − | 0.760985i | ||||
\(447\) | − | 75.3432i | − | 0.168553i | ||||||
\(448\) | 389.869 | + | 220.695i | 0.870242 | + | 0.492624i | ||||
\(449\) | −518.670 | −1.15517 | −0.577583 | − | 0.816332i | \(-0.696004\pi\) | ||||
−0.577583 | + | 0.816332i | \(0.696004\pi\) | |||||||
\(450\) | 167.665 | − | 200.579i | 0.372588 | − | 0.445731i | ||||
\(451\) | −231.053 | + | 95.7053i | −0.512313 | + | 0.212207i | ||||
\(452\) | 528.258 | − | 95.1930i | 1.16871 | − | 0.210604i | ||||
\(453\) | −26.2702 | + | 63.4219i | −0.0579916 | + | 0.140004i | ||||
\(454\) | 78.3558 | − | 250.150i | 0.172590 | − | 0.550991i | ||||
\(455\) | −160.695 | + | 92.1846i | −0.353175 | + | 0.202603i | ||||
\(456\) | 30.0121 | + | 109.535i | 0.0658159 | + | 0.240208i | ||||
\(457\) | −40.5067 | + | 40.5067i | −0.0886361 | + | 0.0886361i | −0.750035 | − | 0.661399i | \(-0.769963\pi\) |
0.661399 | + | 0.750035i | \(0.269963\pi\) | |||||||
\(458\) | −246.953 | − | 472.225i | −0.539198 | − | 1.03106i | ||||
\(459\) | −60.7607 | + | 146.689i | −0.132376 | + | 0.319585i | ||||
\(460\) | 107.561 | − | 69.0932i | 0.233828 | − | 0.150203i | ||||
\(461\) | 14.6592 | + | 35.3905i | 0.0317988 | + | 0.0767690i | 0.938981 | − | 0.343969i | \(-0.111771\pi\) |
−0.907182 | + | 0.420738i | \(0.861771\pi\) | |||||||
\(462\) | 105.579 | + | 18.7135i | 0.228525 | + | 0.0405054i | ||||
\(463\) | 153.180i | 0.330843i | 0.986223 | + | 0.165422i | \(0.0528985\pi\) | ||||
−0.986223 | + | 0.165422i | \(0.947101\pi\) | |||||||
\(464\) | 187.078 | + | 201.107i | 0.403186 | + | 0.433419i | ||||
\(465\) | −82.6036 | −0.177642 | ||||||||
\(466\) | 13.1127 | + | 146.705i | 0.0281387 | + | 0.314818i | ||||
\(467\) | 76.7130 | + | 185.202i | 0.164268 | + | 0.396577i | 0.984484 | − | 0.175477i | \(-0.0561467\pi\) |
−0.820216 | + | 0.572054i | \(0.806147\pi\) | |||||||
\(468\) | −62.2210 | + | 285.735i | −0.132951 | + | 0.610544i | ||||
\(469\) | −621.414 | − | 479.568i | −1.32498 | − | 1.02253i | ||||
\(470\) | −171.258 | − | 327.482i | −0.364380 | − | 0.696770i | ||||
\(471\) | −40.5440 | + | 40.5440i | −0.0860807 | + | 0.0860807i | ||||
\(472\) | 472.521 | − | 366.826i | 1.00110 | − | 0.777174i | ||||
\(473\) | 218.026 | + | 218.026i | 0.460942 | + | 0.460942i | ||||
\(474\) | 57.9659 | + | 18.1570i | 0.122291 | + | 0.0383059i | ||||
\(475\) | −178.934 | + | 431.986i | −0.376704 | + | 0.909443i | ||||
\(476\) | −356.326 | − | 423.804i | −0.748584 | − | 0.890344i | ||||
\(477\) | −76.8934 | − | 185.637i | −0.161202 | − | 0.389176i | ||||
\(478\) | 374.473 | + | 313.023i | 0.783415 | + | 0.654861i | ||||
\(479\) | − | 228.451i | − | 0.476934i | −0.971151 | − | 0.238467i | \(-0.923355\pi\) | ||
0.971151 | − | 0.238467i | \(-0.0766449\pi\) | |||||||
\(480\) | 43.3472 | + | 15.3177i | 0.0903066 | + | 0.0319120i | ||||
\(481\) | 17.9850i | 0.0373909i | ||||||||
\(482\) | −402.426 | + | 481.425i | −0.834908 | + | 0.998807i | ||||
\(483\) | −4.05024 | − | 31.4373i | −0.00838559 | − | 0.0650875i | ||||
\(484\) | −381.489 | + | 549.200i | −0.788200 | + | 1.13471i | ||||
\(485\) | 507.775 | + | 210.327i | 1.04696 | + | 0.433664i | ||||
\(486\) | 202.968 | + | 63.5769i | 0.417630 | + | 0.130817i | ||||
\(487\) | −157.734 | − | 157.734i | −0.323888 | − | 0.323888i | 0.526368 | − | 0.850257i | \(-0.323553\pi\) |
−0.850257 | + | 0.526368i | \(0.823553\pi\) | |||||||
\(488\) | −207.666 | − | 26.1505i | −0.425545 | − | 0.0535871i | ||||
\(489\) | −24.1909 | − | 24.1909i | −0.0494702 | − | 0.0494702i | ||||
\(490\) | −311.720 | − | 14.7539i | −0.636164 | − | 0.0301100i | ||||
\(491\) | −154.419 | + | 372.800i | −0.314499 | + | 0.759267i | 0.685029 | + | 0.728516i | \(0.259790\pi\) |
−0.999527 | + | 0.0307504i | \(0.990210\pi\) | |||||||
\(492\) | −5.65692 | + | 25.9780i | −0.0114978 | + | 0.0528009i | ||||
\(493\) | −129.909 | − | 313.628i | −0.263507 | − | 0.636162i | ||||
\(494\) | −46.5636 | − | 520.956i | −0.0942583 | − | 1.05457i | ||||
\(495\) | −475.510 | −0.960626 | ||||||||
\(496\) | −321.120 | − | 862.068i | −0.647419 | − | 1.73804i | ||||
\(497\) | 423.169 | + | 114.645i | 0.851446 | + | 0.230674i | ||||
\(498\) | 47.1725 | − | 4.21633i | 0.0947239 | − | 0.00846653i | ||||
\(499\) | 861.522 | − | 356.854i | 1.72650 | − | 0.715138i | 0.726900 | − | 0.686744i | \(-0.240961\pi\) |
0.999597 | − | 0.0283945i | \(-0.00903946\pi\) | |||||||
\(500\) | 274.401 | + | 427.174i | 0.548801 | + | 0.854348i | ||||
\(501\) | −23.7336 | + | 57.2981i | −0.0473725 | + | 0.114367i | ||||
\(502\) | 426.278 | + | 815.132i | 0.849160 | + | 1.62377i | ||||
\(503\) | −251.108 | − | 251.108i | −0.499221 | − | 0.499221i | 0.411974 | − | 0.911195i | \(-0.364839\pi\) |
−0.911195 | + | 0.411974i | \(0.864839\pi\) | |||||||
\(504\) | −347.323 | + | 349.318i | −0.689133 | + | 0.693090i | ||||
\(505\) | −140.373 | − | 140.373i | −0.277967 | − | 0.277967i | ||||
\(506\) | 325.175 | + | 101.856i | 0.642639 | + | 0.201297i | ||||
\(507\) | 17.2527 | − | 41.6518i | 0.0340291 | − | 0.0821535i | ||||
\(508\) | −134.964 | − | 748.960i | −0.265677 | − | 1.47433i | ||||
\(509\) | −338.212 | + | 140.092i | −0.664464 | + | 0.275230i | −0.689315 | − | 0.724461i | \(-0.742089\pi\) |
0.0248518 | + | 0.999691i | \(0.492089\pi\) | |||||||
\(510\) | −43.5955 | − | 36.4417i | −0.0854814 | − | 0.0714543i | ||||
\(511\) | −75.6119 | − | 20.4848i | −0.147969 | − | 0.0400876i | ||||
\(512\) | 8.65218 | + | 511.927i | 0.0168988 | + | 0.999857i | ||||
\(513\) | −252.647 | −0.492489 | ||||||||
\(514\) | −29.3316 | − | 24.5184i | −0.0570654 | − | 0.0477013i | ||||
\(515\) | −198.882 | − | 480.145i | −0.386179 | − | 0.932319i | ||||
\(516\) | 32.2592 | − | 5.81316i | 0.0625178 | − | 0.0112658i | ||||
\(517\) | 376.961 | − | 910.063i | 0.729131 | − | 1.76028i | ||||
\(518\) | −16.3008 | + | 25.5368i | −0.0314686 | + | 0.0492987i | ||||
\(519\) | −30.4426 | − | 30.4426i | −0.0586563 | − | 0.0586563i | ||||
\(520\) | −183.952 | − | 104.828i | −0.353754 | − | 0.201591i | ||||
\(521\) | −550.180 | − | 550.180i | −1.05601 | − | 1.05601i | −0.998336 | − | 0.0576712i | \(-0.981632\pi\) |
−0.0576712 | − | 0.998336i | \(-0.518368\pi\) | |||||||
\(522\) | −267.626 | + | 139.956i | −0.512693 | + | 0.268116i | ||||
\(523\) | 353.525 | + | 146.435i | 0.675957 | + | 0.279990i | 0.694135 | − | 0.719844i | \(-0.255787\pi\) |
−0.0181789 | + | 0.999835i | \(0.505787\pi\) | |||||||
\(524\) | 280.497 | + | 436.665i | 0.535300 | + | 0.833329i | ||||
\(525\) | 46.5449 | − | 5.99664i | 0.0886569 | − | 0.0114222i | ||||
\(526\) | 429.445 | − | 38.3842i | 0.816434 | − | 0.0729738i | ||||
\(527\) | 1136.97i | 2.15744i | ||||||||
\(528\) | 42.7755 | + | 114.834i | 0.0810143 | + | 0.217488i | ||||
\(529\) | 428.268i | 0.809580i | ||||||||
\(530\) | 144.900 | − | 12.9513i | 0.273397 | − | 0.0244365i | ||||
\(531\) | 251.710 | + | 607.681i | 0.474030 | + | 1.14441i | ||||
\(532\) | 406.054 | − | 781.902i | 0.763259 | − | 1.46974i | ||||
\(533\) | 46.8559 | − | 113.120i | 0.0879097 | − | 0.212233i | ||||
\(534\) | 52.3682 | + | 100.139i | 0.0980678 | + | 0.187526i | ||||
\(535\) | −105.366 | − | 105.366i | −0.196945 | − | 0.196945i | ||||
\(536\) | 112.081 | − | 890.052i | 0.209106 | − | 1.66055i | ||||
\(537\) | −59.6301 | + | 59.6301i | −0.111043 | + | 0.111043i | ||||
\(538\) | 349.119 | + | 109.356i | 0.648920 | + | 0.203265i | ||||
\(539\) | −502.710 | − | 662.713i | −0.932671 | − | 1.22952i | ||||
\(540\) | −58.3456 | + | 83.9958i | −0.108047 | + | 0.155548i | ||||
\(541\) | 34.0581 | + | 82.2236i | 0.0629540 | + | 0.151984i | 0.952226 | − | 0.305394i | \(-0.0987883\pi\) |
−0.889272 | + | 0.457379i | \(0.848788\pi\) | |||||||
\(542\) | −262.150 | + | 313.613i | −0.483672 | + | 0.578621i | ||||
\(543\) | −10.8143 | −0.0199158 | ||||||||
\(544\) | 210.836 | − | 596.638i | 0.387566 | − | 1.09676i | ||||
\(545\) | − | 527.796i | − | 0.968433i | ||||||
\(546\) | −43.0286 | + | 30.0717i | −0.0788069 | + | 0.0550765i | ||||
\(547\) | −143.552 | − | 346.565i | −0.262435 | − | 0.633575i | 0.736653 | − | 0.676271i | \(-0.236405\pi\) |
−0.999088 | + | 0.0426963i | \(0.986405\pi\) | |||||||
\(548\) | 200.781 | + | 139.468i | 0.366389 | + | 0.254503i | ||||
\(549\) | 88.0721 | − | 212.625i | 0.160423 | − | 0.387295i | ||||
\(550\) | −150.805 | + | 481.442i | −0.274191 | + | 0.875349i | ||||
\(551\) | 381.957 | − | 381.957i | 0.693208 | − | 0.693208i | ||||
\(552\) | 28.6148 | − | 22.2141i | 0.0518383 | − | 0.0402429i | ||||
\(553\) | −234.481 | − | 408.743i | −0.424016 | − | 0.739138i | ||||
\(554\) | 184.647 | + | 353.083i | 0.333298 | + | 0.637334i | ||||
\(555\) | −1.18975 | + | 2.87232i | −0.00214370 | + | 0.00517536i | ||||
\(556\) | 29.7930 | − | 136.817i | 0.0535845 | − | 0.246074i | ||||
\(557\) | 415.022 | − | 171.908i | 0.745102 | − | 0.308631i | 0.0223608 | − | 0.999750i | \(-0.492882\pi\) |
0.722741 | + | 0.691119i | \(0.242882\pi\) | |||||||
\(558\) | 1007.50 | − | 90.0517i | 1.80556 | − | 0.161383i | ||||
\(559\) | −150.956 | −0.270047 | ||||||||
\(560\) | −166.181 | − | 315.569i | −0.296752 | − | 0.563515i | ||||
\(561\) | − | 151.453i | − | 0.269969i | ||||||
\(562\) | 338.260 | − | 30.2340i | 0.601886 | − | 0.0537972i | ||||
\(563\) | 67.5958 | + | 163.191i | 0.120064 | + | 0.289859i | 0.972473 | − | 0.233016i | \(-0.0748594\pi\) |
−0.852409 | + | 0.522875i | \(0.824859\pi\) | |||||||
\(564\) | −56.5969 | − | 88.1073i | −0.100349 | − | 0.156219i | ||||
\(565\) | −394.789 | − | 163.527i | −0.698742 | − | 0.289429i | ||||
\(566\) | 154.677 | + | 295.774i | 0.273280 | + | 0.522569i | ||||
\(567\) | −263.140 | − | 458.701i | −0.464091 | − | 0.808997i | ||||
\(568\) | 132.407 | + | 483.244i | 0.233111 | + | 0.850782i | ||||
\(569\) | −179.397 | − | 179.397i | −0.315285 | − | 0.315285i | 0.531668 | − | 0.846953i | \(-0.321566\pi\) |
−0.846953 | + | 0.531668i | \(0.821566\pi\) | |||||||
\(570\) | 27.0260 | − | 86.2802i | 0.0474141 | − | 0.151369i | ||||
\(571\) | 157.672 | + | 65.3101i | 0.276134 | + | 0.114378i | 0.516453 | − | 0.856316i | \(-0.327252\pi\) |
−0.240319 | + | 0.970694i | \(0.577252\pi\) | |||||||
\(572\) | −100.084 | − | 555.397i | −0.174971 | − | 0.970974i | ||||
\(573\) | 90.5220 | − | 37.4954i | 0.157979 | − | 0.0654370i | ||||
\(574\) | 169.057 | − | 118.150i | 0.294524 | − | 0.205837i | ||||
\(575\) | 149.140 | 0.259374 | ||||||||
\(576\) | −545.397 | − | 139.572i | −0.946870 | − | 0.242313i | ||||
\(577\) | − | 548.238i | − | 0.950153i | −0.879944 | − | 0.475077i | \(-0.842420\pi\) | ||
0.879944 | − | 0.475077i | \(-0.157580\pi\) | |||||||
\(578\) | −130.890 | + | 156.585i | −0.226454 | + | 0.270909i | ||||
\(579\) | −23.5533 | + | 9.75608i | −0.0406792 | + | 0.0168499i | ||||
\(580\) | −38.7785 | − | 215.195i | −0.0668596 | − | 0.371026i | ||||
\(581\) | −290.863 | − | 224.470i | −0.500625 | − | 0.386351i | ||||
\(582\) | 148.619 | + | 46.5527i | 0.255359 | + | 0.0799875i | ||||
\(583\) | 274.192 | + | 274.192i | 0.470312 | + | 0.470312i | ||||
\(584\) | −23.6585 | − | 86.3462i | −0.0405112 | − | 0.147853i | ||||
\(585\) | 164.616 | − | 164.616i | 0.281395 | − | 0.281395i | ||||
\(586\) | −491.306 | − | 939.478i | −0.838405 | − | 1.60320i | ||||
\(587\) | −663.354 | − | 274.770i | −1.13008 | − | 0.468092i | −0.262269 | − | 0.964995i | \(-0.584471\pi\) |
−0.867806 | + | 0.496902i | \(0.834471\pi\) | |||||||
\(588\) | −88.3514 | + | 3.69957i | −0.150257 | + | 0.00629179i | ||||
\(589\) | −1671.46 | + | 692.340i | −2.83779 | + | 1.17545i | ||||
\(590\) | −474.329 | + | 42.3961i | −0.803948 | + | 0.0718578i | ||||
\(591\) | −142.261 | −0.240713 | ||||||||
\(592\) | −34.6013 | − | 1.25042i | −0.0584481 | − | 0.00211220i | ||||
\(593\) | −261.540 | −0.441045 | −0.220523 | − | 0.975382i | \(-0.570776\pi\) | ||||
−0.220523 | + | 0.975382i | \(0.570776\pi\) | |||||||
\(594\) | −271.519 | + | 24.2687i | −0.457103 | + | 0.0408564i | ||||
\(595\) | 56.3244 | + | 437.180i | 0.0946628 | + | 0.734757i | ||||
\(596\) | −652.689 | − | 142.128i | −1.09512 | − | 0.238470i | ||||
\(597\) | 14.3850 | − | 34.7285i | 0.0240955 | − | 0.0581717i | ||||
\(598\) | −147.834 | + | 77.3105i | −0.247213 | + | 0.129282i | ||||
\(599\) | −625.963 | + | 625.963i | −1.04501 | + | 1.04501i | −0.0460754 | + | 0.998938i | \(0.514671\pi\) |
−0.998938 | + | 0.0460754i | \(0.985329\pi\) | |||||||
\(600\) | 32.8893 | + | 42.3659i | 0.0548156 | + | 0.0706099i | ||||
\(601\) | −421.150 | + | 421.150i | −0.700750 | + | 0.700750i | −0.964571 | − | 0.263822i | \(-0.915017\pi\) |
0.263822 | + | 0.964571i | \(0.415017\pi\) | |||||||
\(602\) | −214.341 | − | 136.819i | −0.356048 | − | 0.227275i | ||||
\(603\) | 911.307 | + | 377.476i | 1.51129 | + | 0.625996i | ||||
\(604\) | 499.860 | + | 347.215i | 0.827582 | + | 0.574860i | ||||
\(605\) | 491.823 | − | 203.720i | 0.812931 | − | 0.336727i | ||||
\(606\) | −43.1598 | − | 36.0775i | −0.0712207 | − | 0.0595338i | ||||
\(607\) | − | 151.774i | − | 0.250040i | −0.992154 | − | 0.125020i | \(-0.960101\pi\) | ||
0.992154 | − | 0.125020i | \(-0.0398995\pi\) | |||||||
\(608\) | 1005.50 | − | 53.3636i | 1.65378 | − | 0.0877690i | ||||
\(609\) | −52.3290 | − | 14.1770i | −0.0859261 | − | 0.0232791i | ||||
\(610\) | 127.845 | + | 106.866i | 0.209582 | + | 0.175190i | ||||
\(611\) | 184.554 | + | 445.553i | 0.302053 | + | 0.729220i | ||||
\(612\) | 571.455 | + | 396.947i | 0.933749 | + | 0.648606i | ||||
\(613\) | −529.658 | − | 219.391i | −0.864042 | − | 0.357898i | −0.0937550 | − | 0.995595i | \(-0.529887\pi\) |
−0.770287 | + | 0.637697i | \(0.779887\pi\) | |||||||
\(614\) | −544.544 | − | 170.570i | −0.886879 | − | 0.277802i | ||||
\(615\) | 14.9664 | − | 14.9664i | 0.0243355 | − | 0.0243355i | ||||
\(616\) | 361.277 | − | 879.314i | 0.586489 | − | 1.42746i | ||||
\(617\) | −540.686 | + | 540.686i | −0.876315 | + | 0.876315i | −0.993151 | − | 0.116837i | \(-0.962725\pi\) |
0.116837 | + | 0.993151i | \(0.462725\pi\) | |||||||
\(618\) | −68.2445 | − | 130.498i | −0.110428 | − | 0.211161i | ||||
\(619\) | 817.724 | + | 338.712i | 1.32104 | + | 0.547193i | 0.928086 | − | 0.372366i | \(-0.121453\pi\) |
0.392954 | + | 0.919558i | \(0.371453\pi\) | |||||||
\(620\) | −155.824 | + | 715.585i | −0.251330 | + | 1.15417i | ||||
\(621\) | 30.8386 | + | 74.4510i | 0.0496596 | + | 0.119889i | ||||
\(622\) | −0.438253 | + | 0.0391715i | −0.000704587 | + | 6.29768e-5i | ||||
\(623\) | 229.240 | − | 846.154i | 0.367962 | − | 1.35819i | ||||
\(624\) | −54.5626 | − | 24.9458i | −0.0874401 | − | 0.0399772i | ||||
\(625\) | − | 32.6953i | − | 0.0523126i | ||||||
\(626\) | −68.2057 | − | 763.089i | −0.108955 | − | 1.21899i | ||||
\(627\) | 222.650 | − | 92.2248i | 0.355104 | − | 0.147089i | ||||
\(628\) | 274.745 | + | 427.711i | 0.437492 | + | 0.681068i | ||||
\(629\) | 39.5351 | + | 16.3760i | 0.0628539 | + | 0.0260350i | ||||
\(630\) | 382.937 | − | 84.5368i | 0.607837 | − | 0.134185i | ||||
\(631\) | 430.117 | − | 430.117i | 0.681643 | − | 0.681643i | −0.278727 | − | 0.960370i | \(-0.589913\pi\) |
0.960370 | + | 0.278727i | \(0.0899125\pi\) | |||||||
\(632\) | 266.639 | − | 467.900i | 0.421898 | − | 0.740349i | ||||
\(633\) | 33.8226 | − | 33.8226i | 0.0534322 | − | 0.0534322i | ||||
\(634\) | −326.910 | − | 102.400i | −0.515631 | − | 0.161514i | ||||
\(635\) | −231.847 | + | 559.729i | −0.365114 | + | 0.881463i | ||||
\(636\) | 40.5695 | − | 7.31071i | 0.0637886 | − | 0.0114948i | ||||
\(637\) | 403.456 | + | 55.3915i | 0.633370 | + | 0.0869569i | ||||
\(638\) | 373.799 | − | 447.179i | 0.585892 | − | 0.700907i | ||||
\(639\) | −550.939 | −0.862189 | ||||||||
\(640\) | 214.466 | − | 346.616i | 0.335104 | − | 0.541587i | ||||
\(641\) | 1086.70 | 1.69532 | 0.847662 | − | 0.530536i | \(-0.178009\pi\) | ||||
0.847662 | + | 0.530536i | \(0.178009\pi\) | |||||||
\(642\) | −32.3961 | − | 27.0801i | −0.0504613 | − | 0.0421808i | ||||
\(643\) | 56.2399 | − | 23.2953i | 0.0874648 | − | 0.0362291i | −0.338522 | − | 0.940958i | \(-0.609927\pi\) |
0.425987 | + | 0.904729i | \(0.359927\pi\) | |||||||
\(644\) | −279.978 | − | 24.2169i | −0.434748 | − | 0.0376038i | ||||
\(645\) | −24.1087 | − | 9.98613i | −0.0373778 | − | 0.0154824i | ||||
\(646\) | −1187.58 | − | 371.991i | −1.83835 | − | 0.575837i | ||||
\(647\) | −116.790 | + | 116.790i | −0.180510 | + | 0.180510i | −0.791578 | − | 0.611068i | \(-0.790740\pi\) |
0.611068 | + | 0.791578i | \(0.290740\pi\) | |||||||
\(648\) | 299.229 | − | 525.089i | 0.461773 | − | 0.810322i | ||||
\(649\) | −897.564 | − | 897.564i | −1.38300 | − | 1.38300i | ||||
\(650\) | −114.463 | − | 218.877i | −0.176097 | − | 0.336734i | ||||
\(651\) | 143.752 | + | 110.939i | 0.220817 | + | 0.170413i | ||||
\(652\) | −255.197 | + | 163.929i | −0.391406 | + | 0.251425i | ||||
\(653\) | 218.532 | − | 90.5190i | 0.334659 | − | 0.138620i | −0.209025 | − | 0.977910i | \(-0.567029\pi\) |
0.543684 | + | 0.839290i | \(0.317029\pi\) | |||||||
\(654\) | −13.3145 | − | 148.964i | −0.0203586 | − | 0.227773i | ||||
\(655\) | − | 413.168i | − | 0.630791i | ||||||
\(656\) | 214.373 | + | 98.0105i | 0.326789 | + | 0.149406i | ||||
\(657\) | 98.4419 | 0.149835 | ||||||||
\(658\) | −141.781 | + | 799.907i | −0.215473 | + | 1.21566i | ||||
\(659\) | 222.779 | − | 92.2781i | 0.338056 | − | 0.140028i | −0.207196 | − | 0.978299i | \(-0.566434\pi\) |
0.545252 | + | 0.838272i | \(0.316434\pi\) | |||||||
\(660\) | 20.7570 | − | 95.3212i | 0.0314499 | − | 0.144426i | ||||
\(661\) | 34.7440 | + | 14.3914i | 0.0525627 | + | 0.0217722i | 0.408810 | − | 0.912620i | \(-0.365944\pi\) |
−0.356247 | + | 0.934392i | \(0.615944\pi\) | |||||||
\(662\) | 410.914 | + | 785.752i | 0.620716 | + | 1.18694i | ||||
\(663\) | 52.4313 | + | 52.4313i | 0.0790819 | + | 0.0790819i | ||||
\(664\) | 52.4612 | − | 416.604i | 0.0790078 | − | 0.627415i | ||||
\(665\) | −608.400 | + | 349.016i | −0.914887 | + | 0.524837i | ||||
\(666\) | 11.3799 | − | 36.3303i | 0.0170870 | − | 0.0545500i | ||||
\(667\) | −159.179 | − | 65.9342i | −0.238650 | − | 0.0988519i | ||||
\(668\) | 451.595 | + | 313.689i | 0.676041 | + | 0.469595i | ||||
\(669\) | 45.6840 | + | 110.291i | 0.0682870 | + | 0.164859i | ||||
\(670\) | −458.026 | + | 547.941i | −0.683621 | + | 0.817822i | ||||
\(671\) | 444.139i | 0.661906i | ||||||||
\(672\) | −54.8632 | − | 84.8731i | −0.0816417 | − | 0.126299i | ||||
\(673\) | 893.355 | 1.32742 | 0.663711 | − | 0.747989i | \(-0.268980\pi\) | ||||
0.663711 | + | 0.747989i | \(0.268980\pi\) | |||||||
\(674\) | 529.978 | + | 443.011i | 0.786318 | + | 0.657287i | ||||
\(675\) | −110.229 | + | 45.6585i | −0.163303 | + | 0.0676422i | ||||
\(676\) | −328.279 | − | 228.031i | −0.485620 | − | 0.337324i | ||||
\(677\) | 317.993 | − | 767.703i | 0.469709 | − | 1.13398i | −0.494581 | − | 0.869131i | \(-0.664679\pi\) |
0.964290 | − | 0.264847i | \(-0.0853215\pi\) | |||||||
\(678\) | −115.550 | − | 36.1943i | −0.170427 | − | 0.0533839i | ||||
\(679\) | −601.186 | − | 1047.98i | −0.885398 | − | 1.54341i | ||||
\(680\) | −397.929 | + | 308.919i | −0.585190 | + | 0.454292i | ||||
\(681\) | −41.8135 | + | 41.8135i | −0.0614002 | + | 0.0614002i | ||||
\(682\) | −1729.81 | + | 904.613i | −2.53637 | + | 1.32641i | ||||
\(683\) | 426.351 | − | 1029.30i | 0.624233 | − | 1.50703i | −0.222455 | − | 0.974943i | \(-0.571407\pi\) |
0.846688 | − | 0.532089i | \(-0.178593\pi\) | |||||||
\(684\) | −235.572 | + | 1081.81i | −0.344404 | + | 1.58159i | ||||
\(685\) | −74.4776 | − | 179.805i | −0.108726 | − | 0.262489i | ||||
\(686\) | 522.659 | + | 444.323i | 0.761894 | + | 0.647701i | ||||
\(687\) | 120.213i | 0.174983i | ||||||||
\(688\) | 10.4953 | − | 290.424i | 0.0152548 | − | 0.422127i | ||||
\(689\) | −189.844 | −0.275536 | ||||||||
\(690\) | −28.7242 | + | 2.56740i | −0.0416293 | + | 0.00372088i | ||||
\(691\) | 253.734 | + | 612.568i | 0.367198 | + | 0.886495i | 0.994207 | + | 0.107483i | \(0.0342790\pi\) |
−0.627009 | + | 0.779012i | \(0.715721\pi\) | |||||||
\(692\) | −321.148 | + | 206.294i | −0.464087 | + | 0.298112i | ||||
\(693\) | 827.511 | + | 638.621i | 1.19410 | + | 0.921531i | ||||
\(694\) | 515.375 | − | 269.518i | 0.742615 | − | 0.388355i | ||||
\(695\) | −78.8224 | + | 78.8224i | −0.113414 | + | 0.113414i | ||||
\(696\) | −16.3734 | − | 59.7579i | −0.0235250 | − | 0.0858590i | ||||
\(697\) | −206.000 | − | 206.000i | −0.295552 | − | 0.295552i | ||||
\(698\) | −101.964 | + | 325.518i | −0.146080 | + | 0.466358i | ||||
\(699\) | 12.7151 | − | 30.6970i | 0.0181904 | − | 0.0439156i | ||||
\(700\) | 35.8546 | − | 414.525i | 0.0512208 | − | 0.592178i | ||||
\(701\) | −383.071 | − | 924.815i | −0.546463 | − | 1.31928i | −0.920093 | − | 0.391701i | \(-0.871887\pi\) |
0.373629 | − | 0.927578i | \(-0.378113\pi\) | |||||||
\(702\) | 85.5954 | − | 102.398i | 0.121931 | − | 0.145867i | ||||
\(703\) | 68.0924i | 0.0968597i | ||||||||
\(704\) | 1075.48 | − | 153.936i | 1.52768 | − | 0.218659i | ||||
\(705\) | 83.3664i | 0.118250i | ||||||||
\(706\) | 27.9634 | + | 23.3748i | 0.0396083 | + | 0.0331087i | ||||
\(707\) | 55.7614 | + | 432.811i | 0.0788705 | + | 0.612179i | ||||
\(708\) | −132.804 | + | 23.9315i | −0.187576 | + | 0.0338016i | ||||
\(709\) | 883.111 | + | 365.797i | 1.24557 | + | 0.515933i | 0.905452 | − | 0.424449i | \(-0.139532\pi\) |
0.340121 | + | 0.940382i | \(0.389532\pi\) | |||||||
\(710\) | 119.233 | − | 380.651i | 0.167934 | − | 0.536127i | ||||
\(711\) | 418.718 | + | 418.718i | 0.588915 | + | 0.588915i | ||||
\(712\) | 966.279 | − | 264.757i | 1.35713 | − | 0.371849i | ||||
\(713\) | 408.043 | + | 408.043i | 0.572290 | + | 0.572290i | ||||
\(714\) | 26.9255 | + | 121.968i | 0.0377107 | + | 0.170823i | ||||
\(715\) | −171.928 | + | 415.072i | −0.240459 | + | 0.580520i | ||||
\(716\) | 404.082 | + | 629.056i | 0.564360 | + | 0.878569i | ||||
\(717\) | −42.1338 | − | 101.720i | −0.0587640 | − | 0.141869i | ||||
\(718\) | −573.511 | + | 51.2611i | −0.798762 | + | 0.0713942i | ||||
\(719\) | 349.176 | 0.485641 | 0.242821 | − | 0.970071i | \(-0.421927\pi\) | ||||
0.242821 | + | 0.970071i | \(0.421927\pi\) | |||||||
\(720\) | 305.259 | + | 328.149i | 0.423971 | + | 0.455763i | ||||
\(721\) | −298.738 | + | 1102.68i | −0.414339 | + | 1.52938i | ||||
\(722\) | −112.016 | − | 1253.24i | −0.155146 | − | 1.73578i | ||||
\(723\) | 130.772 | − | 54.1675i | 0.180874 | − | 0.0749205i | ||||
\(724\) | −20.4002 | + | 93.6828i | −0.0281770 | + | 0.129396i | ||||
\(725\) | 97.6197 | − | 235.675i | 0.134648 | − | 0.325069i | ||||
\(726\) | 133.672 | − | 69.9045i | 0.184121 | − | 0.0962872i | ||||
\(727\) | 420.573 | + | 420.573i | 0.578505 | + | 0.578505i | 0.934491 | − | 0.355986i | \(-0.115855\pi\) |
−0.355986 | + | 0.934491i | \(0.615855\pi\) | |||||||
\(728\) | 179.338 | + | 429.479i | 0.246344 | + | 0.589943i | ||||
\(729\) | 446.842 | + | 446.842i | 0.612952 | + | 0.612952i | ||||
\(730\) | −21.3046 | + | 68.0147i | −0.0291844 | + | 0.0931709i | ||||
\(731\) | −137.451 | + | 331.836i | −0.188031 | + | 0.453947i | ||||
\(732\) | 38.7785 | + | 26.9365i | 0.0529761 | + | 0.0367985i | ||||
\(733\) | 754.353 | − | 312.463i | 1.02913 | − | 0.426280i | 0.196732 | − | 0.980457i | \(-0.436967\pi\) |
0.832399 | + | 0.554177i | \(0.186967\pi\) | |||||||
\(734\) | −254.871 | + | 304.905i | −0.347236 | + | 0.415402i | ||||
\(735\) | 60.7703 | + | 35.5360i | 0.0826806 | + | 0.0483484i | ||||
\(736\) | −138.459 | − | 289.791i | −0.188123 | − | 0.393738i | ||||
\(737\) | −1903.57 | −2.58287 | ||||||||
\(738\) | −166.226 | + | 198.858i | −0.225239 | + | 0.269455i | ||||
\(739\) | −13.8331 | − | 33.3960i | −0.0187186 | − | 0.0451908i | 0.914244 | − | 0.405164i | \(-0.132786\pi\) |
−0.932962 | + | 0.359974i | \(0.882786\pi\) | |||||||
\(740\) | 22.6382 | + | 15.7251i | 0.0305922 | + | 0.0212501i | ||||
\(741\) | −45.1519 | + | 109.006i | −0.0609337 | + | 0.147107i | ||||
\(742\) | −269.558 | − | 172.066i | −0.363286 | − | 0.231894i | ||||
\(743\) | 48.0077 | + | 48.0077i | 0.0646134 | + | 0.0646134i | 0.738675 | − | 0.674062i | \(-0.235452\pi\) |
−0.674062 | + | 0.738675i | \(0.735452\pi\) | |||||||
\(744\) | −25.9276 | + | 205.896i | −0.0348490 | + | 0.276742i | ||||
\(745\) | 376.025 | + | 376.025i | 0.504731 | + | 0.504731i | ||||
\(746\) | −69.0620 | − | 132.061i | −0.0925764 | − | 0.177025i | ||||
\(747\) | 426.552 | + | 176.684i | 0.571020 | + | 0.236524i | ||||
\(748\) | −1312.02 | − | 285.702i | −1.75403 | − | 0.381955i | ||||
\(749\) | 41.8551 | + | 324.872i | 0.0558813 | + | 0.433741i | ||||
\(750\) | −10.1963 | − | 114.077i | −0.0135951 | − | 0.152103i | ||||
\(751\) | 798.416i | 1.06314i | 0.847015 | + | 0.531569i | \(0.178397\pi\) | ||||
−0.847015 | + | 0.531569i | \(0.821603\pi\) | |||||||
\(752\) | −870.028 | + | 324.085i | −1.15695 | + | 0.430964i | ||||
\(753\) | − | 207.507i | − | 0.275573i | ||||||
\(754\) | 25.4033 | + | 284.213i | 0.0336914 | + | 0.376941i | ||||
\(755\) | −185.417 | − | 447.637i | −0.245586 | − | 0.592897i | ||||
\(756\) | 214.345 | − | 67.8150i | 0.283525 | − | 0.0897024i | ||||
\(757\) | 168.773 | − | 407.454i | 0.222950 | − | 0.538249i | −0.772338 | − | 0.635212i | \(-0.780913\pi\) |
0.995288 | + | 0.0969631i | \(0.0309129\pi\) | |||||||
\(758\) | −417.016 | + | 218.081i | −0.550154 | + | 0.287706i | ||||
\(759\) | −54.3543 | − | 54.3543i | −0.0716131 | − | 0.0716131i | ||||
\(760\) | −696.453 | − | 396.883i | −0.916386 | − | 0.522215i | ||||
\(761\) | 333.111 | − | 333.111i | 0.437727 | − | 0.437727i | −0.453519 | − | 0.891247i | \(-0.649832\pi\) |
0.891247 | + | 0.453519i | \(0.149832\pi\) | |||||||
\(762\) | −51.3159 | + | 163.825i | −0.0673437 | + | 0.214994i | ||||
\(763\) | −708.842 | + | 918.502i | −0.929020 | + | 1.20380i | ||||
\(764\) | −154.057 | − | 854.913i | −0.201645 | − | 1.11900i | ||||
\(765\) | −211.975 | − | 511.752i | −0.277091 | − | 0.668957i | ||||
\(766\) | 338.521 | + | 282.971i | 0.441933 | + | 0.369414i | ||||
\(767\) | 621.454 | 0.810239 | ||||||||
\(768\) | 51.7865 | − | 103.238i | 0.0674303 | − | 0.134425i | ||||
\(769\) | 1194.80i | 1.55370i | 0.629683 | + | 0.776852i | \(0.283185\pi\) | ||||
−0.629683 | + | 0.776852i | \(0.716815\pi\) | |||||||
\(770\) | −620.320 | + | 433.529i | −0.805611 | + | 0.563024i | ||||
\(771\) | 3.30025 | + | 7.96750i | 0.00428048 | + | 0.0103340i | ||||
\(772\) | 40.0846 | + | 222.443i | 0.0519231 | + | 0.288139i | ||||
\(773\) | −356.757 | + | 861.287i | −0.461522 | + | 1.11421i | 0.506250 | + | 0.862387i | \(0.331031\pi\) |
−0.967772 | + | 0.251826i | \(0.918969\pi\) | |||||||
\(774\) | 304.936 | + | 95.5167i | 0.393974 | + | 0.123407i | ||||
\(775\) | −604.133 | + | 604.133i | −0.779526 | + | 0.779526i | ||||
\(776\) | 683.637 | − | 1199.65i | 0.880976 | − | 1.54594i | ||||
\(777\) | 5.92808 | − | 3.40072i | 0.00762945 | − | 0.00437673i | ||||
\(778\) | −682.209 | + | 356.765i | −0.876876 | + | 0.458567i | ||||
\(779\) | 177.399 | − | 428.280i | 0.227727 | − | 0.549781i | ||||
\(780\) | 25.8133 | + | 40.1850i | 0.0330940 | + | 0.0515192i | ||||
\(781\) | 982.287 | − | 406.877i | 1.25773 | − | 0.520969i | ||||
\(782\) | 35.3382 | + | 395.365i | 0.0451895 | + | 0.505582i | ||||
\(783\) | 137.834 | 0.176034 | ||||||||
\(784\) | −134.618 | + | 772.356i | −0.171707 | + | 0.985148i | ||||
\(785\) | − | 404.696i | − | 0.515536i | ||||||
\(786\) | −10.4229 | − | 116.612i | −0.0132606 | − | 0.148361i | ||||
\(787\) | −29.1435 | − | 70.3586i | −0.0370311 | − | 0.0894010i | 0.904282 | − | 0.426936i | \(-0.140407\pi\) |
−0.941313 | + | 0.337535i | \(0.890407\pi\) | |||||||
\(788\) | −268.363 | + | 1232.39i | −0.340563 | + | 1.56395i | ||||
\(789\) | −89.8582 | − | 37.2205i | −0.113889 | − | 0.0471743i | ||||
\(790\) | −379.916 | + | 198.679i | −0.480907 | + | 0.251493i | ||||
\(791\) | 467.415 | + | 814.791i | 0.590917 | + | 1.03008i | ||||
\(792\) | −149.253 | + | 1185.25i | −0.188451 | + | 1.49652i | ||||
\(793\) | −153.756 | − | 153.756i | −0.193891 | − | 0.193891i | ||||
\(794\) | 1239.68 | + | 388.312i | 1.56131 | + | 0.489058i | ||||
\(795\) | −30.3193 | − | 12.5587i | −0.0381375 | − | 0.0157971i | ||||
\(796\) | −273.713 | − | 190.128i | −0.343860 | − | 0.238854i | ||||
\(797\) | 271.052 | − | 112.274i | 0.340091 | − | 0.140870i | −0.206100 | − | 0.978531i | \(-0.566077\pi\) |
0.546191 | + | 0.837661i | \(0.316077\pi\) | |||||||
\(798\) | −162.909 | + | 113.853i | −0.204146 | + | 0.142673i | ||||
\(799\) | 1147.47 | 1.43613 | ||||||||
\(800\) | 429.054 | − | 204.997i | 0.536317 | − | 0.256246i | ||||
\(801\) | 1101.64i | 1.37533i | ||||||||
\(802\) | 177.159 | + | 148.088i | 0.220897 | + | 0.184649i | ||||
\(803\) | −175.515 | + | 72.7009i | −0.218575 | + | 0.0905366i | ||||
\(804\) | −115.450 | + | 166.204i | −0.143594 | + | 0.206721i | ||||
\(805\) | 177.112 | + | 136.684i | 0.220015 | + | 0.169794i | ||||
\(806\) | 285.673 | − | 912.007i | 0.354433 | − | 1.13152i | ||||
\(807\) | −58.3566 | − | 58.3566i | −0.0723130 | − | 0.0723130i | ||||
\(808\) | −393.952 | + | 305.831i | −0.487564 | + | 0.378504i | ||||
\(809\) | 542.904 | − | 542.904i | 0.671080 | − | 0.671080i | −0.286885 | − | 0.957965i | \(-0.592620\pi\) |
0.957965 | + | 0.286885i | \(0.0926197\pi\) | |||||||
\(810\) | −426.351 | + | 222.963i | −0.526359 | + | 0.275263i | ||||
\(811\) | 1230.20 | + | 509.566i | 1.51689 | + | 0.628318i | 0.976966 | − | 0.213394i | \(-0.0684519\pi\) |
0.539927 | + | 0.841712i | \(0.318452\pi\) | |||||||
\(812\) | −221.527 | + | 426.576i | −0.272817 | + | 0.525340i | ||||
\(813\) | 85.1882 | − | 35.2861i | 0.104783 | − | 0.0434024i | ||||
\(814\) | 6.54080 | + | 73.1788i | 0.00803538 | + | 0.0899002i | ||||
\(815\) | 241.465 | 0.296276 | ||||||||
\(816\) | −104.518 | + | 97.2269i | −0.128085 | + | 0.119151i | ||||
\(817\) | −571.529 | −0.699546 | ||||||||
\(818\) | −82.7446 | − | 925.751i | −0.101155 | − | 1.13173i | ||||
\(819\) | −507.559 | + | 65.3916i | −0.619730 | + | 0.0798433i | ||||
\(820\) | −101.419 | − | 157.885i | −0.123682 | − | 0.192542i | ||||
\(821\) | −176.895 | + | 427.063i | −0.215463 | + | 0.520174i | −0.994246 | − | 0.107119i | \(-0.965837\pi\) |
0.778783 | + | 0.627293i | \(0.215837\pi\) | |||||||
\(822\) | −25.5563 | − | 48.8688i | −0.0310903 | − | 0.0594512i | ||||
\(823\) | −763.783 | + | 763.783i | −0.928047 | + | 0.928047i | −0.997580 | − | 0.0695328i | \(-0.977849\pi\) |
0.0695328 | + | 0.997580i | \(0.477849\pi\) | |||||||
\(824\) | −1259.22 | + | 345.022i | −1.52818 | + | 0.418716i | ||||
\(825\) | 80.4750 | − | 80.4750i | 0.0975454 | − | 0.0975454i | ||||
\(826\) | 882.395 | + | 563.255i | 1.06828 | + | 0.681907i | ||||
\(827\) | 799.740 | + | 331.263i | 0.967037 | + | 0.400560i | 0.809608 | − | 0.586970i | \(-0.199679\pi\) |
0.157429 | + | 0.987530i | \(0.449679\pi\) | |||||||
\(828\) | 347.546 | − | 62.6284i | 0.419741 | − | 0.0756382i | ||||
\(829\) | −674.505 | + | 279.389i | −0.813637 | + | 0.337020i | −0.750404 | − | 0.660979i | \(-0.770141\pi\) |
−0.0632331 | + | 0.997999i | \(0.520141\pi\) | |||||||
\(830\) | −214.387 | + | 256.473i | −0.258297 | + | 0.309003i | ||||
\(831\) | − | 89.8837i | − | 0.108163i | ||||||
\(832\) | −319.030 | + | 425.611i | −0.383449 | + | 0.511552i | ||||
\(833\) | 489.124 | − | 836.452i | 0.587184 | − | 1.00414i | ||||
\(834\) | −20.2582 | + | 24.2351i | −0.0242904 | + | 0.0290588i | ||||
\(835\) | −167.514 | − | 404.415i | −0.200616 | − | 0.484330i | ||||
\(836\) | −378.922 | − | 2102.77i | −0.453257 | − | 2.51527i | ||||
\(837\) | −426.504 | − | 176.664i | −0.509562 | − | 0.211068i | ||||
\(838\) | −7.23381 | + | 23.0938i | −0.00863223 | + | 0.0275583i | ||||
\(839\) | 232.319 | − | 232.319i | 0.276900 | − | 0.276900i | −0.554970 | − | 0.831870i | \(-0.687270\pi\) |
0.831870 | + | 0.554970i | \(0.187270\pi\) | |||||||
\(840\) | 0.230367 | + | 80.4542i | 0.000274246 | + | 0.0957788i | ||||
\(841\) | 386.295 | − | 386.295i | 0.459329 | − | 0.459329i | ||||
\(842\) | 938.615 | − | 490.854i | 1.11474 | − | 0.582962i | ||||
\(843\) | −70.7785 | − | 29.3174i | −0.0839602 | − | 0.0347775i | ||||
\(844\) | −229.198 | − | 356.804i | −0.271561 | − | 0.422754i | ||||
\(845\) | 121.771 | + | 293.982i | 0.144108 | + | 0.347908i | ||||
\(846\) | −90.8832 | − | 1016.81i | −0.107427 | − | 1.20190i | ||||
\(847\) | −1129.50 | − | 306.005i | −1.33353 | − | 0.361281i | ||||
\(848\) | 13.1991 | − | 365.240i | 0.0155649 | − | 0.430708i | ||||
\(849\) | − | 75.2946i | − | 0.0886862i | ||||||
\(850\) | −585.363 | + | 52.3204i | −0.688662 | + | 0.0615534i | ||||
\(851\) | 20.0657 | − | 8.31150i | 0.0235790 | − | 0.00976674i | ||||
\(852\) | 24.0496 | − | 110.442i | 0.0282272 | − | 0.129626i | ||||
\(853\) | −622.297 | − | 257.764i | −0.729539 | − | 0.302185i | −0.0131765 | − | 0.999913i | \(-0.504194\pi\) |
−0.716363 | + | 0.697728i | \(0.754194\pi\) | |||||||
\(854\) | −78.9595 | − | 357.673i | −0.0924585 | − | 0.418821i | ||||
\(855\) | 623.247 | − | 623.247i | 0.728944 | − | 0.728944i | ||||
\(856\) | −295.704 | + | 229.560i | −0.345449 | + | 0.268177i | ||||
\(857\) | 785.585 | − | 785.585i | 0.916668 | − | 0.916668i | −0.0801173 | − | 0.996785i | \(-0.525529\pi\) |
0.996785 | + | 0.0801173i | \(0.0255295\pi\) | |||||||
\(858\) | −38.0538 | + | 121.486i | −0.0443517 | + | 0.141592i | ||||
\(859\) | 374.115 | − | 903.195i | 0.435524 | − | 1.05145i | −0.541953 | − | 0.840409i | \(-0.682315\pi\) |
0.977477 | − | 0.211040i | \(-0.0676851\pi\) | |||||||
\(860\) | −131.987 | + | 190.012i | −0.153474 | + | 0.220945i | ||||
\(861\) | −46.1455 | + | 5.94519i | −0.0535953 | + | 0.00690498i | ||||
\(862\) | 916.242 | + | 765.891i | 1.06293 | + | 0.888504i | ||||
\(863\) | −1176.34 | −1.36308 | −0.681540 | − | 0.731781i | \(-0.738690\pi\) | ||||
−0.681540 | + | 0.731781i | \(0.738690\pi\) | |||||||
\(864\) | 191.053 | + | 171.796i | 0.221126 | + | 0.198838i | ||||
\(865\) | 303.868 | 0.351292 | ||||||||
\(866\) | 1078.50 | − | 1290.21i | 1.24538 | − | 1.48985i | ||||
\(867\) | 42.5341 | − | 17.6182i | 0.0490589 | − | 0.0203209i | ||||
\(868\) | 1232.22 | − | 1036.03i | 1.41961 | − | 1.19358i | ||||
\(869\) | −1055.78 | − | 437.317i | −1.21493 | − | 0.503242i | ||||
\(870\) | −14.7444 | + | 47.0712i | −0.0169476 | + | 0.0541048i | ||||
\(871\) | 658.995 | − | 658.995i | 0.756596 | − | 0.756596i | ||||
\(872\) | −1315.57 | − | 165.665i | −1.50868 | − | 0.189982i | ||||
\(873\) | 1073.55 | + | 1073.55i | 1.22973 | + | 1.22973i | ||||
\(874\) | −559.707 | + | 292.702i | −0.640397 | + | 0.334899i | ||||
\(875\) | −542.835 | + | 703.393i | −0.620382 | + | 0.803878i | ||||
\(876\) | −4.29718 | + | 19.7338i | −0.00490546 | + | 0.0225271i | ||||
\(877\) | 758.828 | − | 314.317i | 0.865254 | − | 0.358400i | 0.0944940 | − | 0.995525i | \(-0.469877\pi\) |
0.770760 | + | 0.637125i | \(0.219877\pi\) | |||||||
\(878\) | 191.412 | − | 17.1086i | 0.218009 | − | 0.0194858i | ||||
\(879\) | 239.161i | 0.272083i | ||||||||
\(880\) | −786.600 | − | 359.630i | −0.893864 | − | 0.408670i | ||||
\(881\) | 723.773 | 0.821536 | 0.410768 | − | 0.911740i | \(-0.365261\pi\) | ||||
0.410768 | + | 0.911740i | \(0.365261\pi\) | |||||||
\(882\) | −779.945 | − | 367.178i | −0.884291 | − | 0.416301i | ||||
\(883\) | −1498.92 | + | 620.874i | −1.69753 | + | 0.703142i | −0.999911 | − | 0.0133237i | \(-0.995759\pi\) |
−0.697623 | + | 0.716465i | \(0.745759\pi\) | |||||||
\(884\) | 553.113 | − | 355.299i | 0.625693 | − | 0.401922i | ||||
\(885\) | 99.2501 | + | 41.1107i | 0.112147 | + | 0.0464528i | ||||
\(886\) | −514.349 | + | 268.982i | −0.580529 | + | 0.303591i | ||||
\(887\) | −5.34598 | − | 5.34598i | −0.00602704 | − | 0.00602704i | 0.704087 | − | 0.710114i | \(-0.251357\pi\) |
−0.710114 | + | 0.704087i | \(0.751357\pi\) | |||||||
\(888\) | 6.78605 | + | 3.86712i | 0.00764195 | + | 0.00435487i | ||||
\(889\) | 1155.20 | − | 662.698i | 1.29944 | − | 0.745442i | ||||
\(890\) | −761.136 | − | 238.415i | −0.855209 | − | 0.267882i | ||||
\(891\) | −1184.82 | − | 490.768i | −1.32976 | − | 0.550805i | ||||
\(892\) | 1041.62 | − | 187.701i | 1.16773 | − | 0.210427i | ||||
\(893\) | 698.733 | + | 1686.89i | 0.782456 | + | 1.88902i | ||||
\(894\) | 115.614 | + | 96.6424i | 0.129322 | + | 0.108101i | ||||
\(895\) | − | 595.207i | − | 0.665036i | ||||||
\(896\) | −838.740 | + | 315.168i | −0.936094 | + | 0.351750i | ||||
\(897\) | 37.6337 | 0.0419551 | ||||||||
\(898\) | 665.295 | − | 795.899i | 0.740864 | − | 0.886301i | ||||
\(899\) | 911.883 | − | 377.714i | 1.01433 | − | 0.420149i | ||||
\(900\) | 92.7252 | + | 514.563i | 0.103028 | + | 0.571737i | ||||
\(901\) | −172.860 | + | 417.320i | −0.191853 | + | 0.463175i | ||||
\(902\) | 149.511 | − | 477.312i | 0.165755 | − | 0.529170i | ||||
\(903\) | 28.5437 | + | 49.7569i | 0.0316099 | + | 0.0551018i | ||||
\(904\) | −531.521 | + | 932.716i | −0.587965 | + | 1.03176i | ||||
\(905\) | 53.9722 | − | 53.9722i | 0.0596378 | − | 0.0596378i | ||||
\(906\) | −63.6242 | − | 121.663i | −0.0702254 | − | 0.134285i | ||||
\(907\) | 255.434 | − | 616.673i | 0.281626 | − | 0.679904i | −0.718248 | − | 0.695787i | \(-0.755056\pi\) |
0.999874 | + | 0.0158825i | \(0.00505577\pi\) | |||||||
\(908\) | 283.348 | + | 441.103i | 0.312058 | + | 0.485797i | ||||
\(909\) | −209.856 | − | 506.638i | −0.230865 | − | 0.557357i | ||||
\(910\) | 64.6652 | − | 364.831i | 0.0710606 | − | 0.400913i | ||||
\(911\) | − | 745.677i | − | 0.818526i | −0.912417 | − | 0.409263i | \(-0.865786\pi\) | ||
0.912417 | − | 0.409263i | \(-0.134214\pi\) | |||||||
\(912\) | −206.577 | − | 94.4461i | −0.226510 | − | 0.103559i | ||||
\(913\) | −890.998 | −0.975902 | ||||||||
\(914\) | −10.1998 | − | 114.115i | −0.0111595 | − | 0.124853i | ||||
\(915\) | −14.3844 | − | 34.7271i | −0.0157207 | − | 0.0379531i | ||||
\(916\) | 1041.39 | + | 226.772i | 1.13689 | + | 0.247567i | ||||
\(917\) | −554.895 | + | 719.020i | −0.605119 | + | 0.784101i | ||||
\(918\) | −147.157 | − | 281.395i | −0.160302 | − | 0.306531i | ||||
\(919\) | 805.559 | − | 805.559i | 0.876561 | − | 0.876561i | −0.116616 | − | 0.993177i | \(-0.537205\pi\) |
0.993177 | + | 0.116616i | \(0.0372047\pi\) | |||||||
\(920\) | −31.9446 | + | 253.678i | −0.0347224 | + | 0.275737i | ||||
\(921\) | 91.0226 | + | 91.0226i | 0.0988302 | + | 0.0988302i | ||||
\(922\) | −73.1101 | − | 22.9007i | −0.0792951 | − | 0.0248380i | ||||
\(923\) | −199.201 | + | 480.913i | −0.215819 | + | 0.521033i | ||||
\(924\) | −164.141 | + | 138.007i | −0.177642 | + | 0.149358i | ||||
\(925\) | 12.3057 | + | 29.7086i | 0.0133034 | + | 0.0321174i | ||||
\(926\) | −235.055 | − | 196.484i | −0.253840 | − | 0.212186i | ||||
\(927\) | − | 1435.62i | − | 1.54867i | ||||||
\(928\) | −548.563 | + | 29.1131i | −0.591123 | + | 0.0313719i | ||||
\(929\) | 430.788i | 0.463711i | 0.972750 | + | 0.231856i | \(0.0744797\pi\) | ||||
−0.972750 | + | 0.231856i | \(0.925520\pi\) | |||||||
\(930\) | 105.955 | − | 126.755i | 0.113930 | − | 0.136296i | ||||
\(931\) | 1527.51 | + | 209.716i | 1.64072 | + | 0.225258i | ||||
\(932\) | −241.938 | − | 168.057i | −0.259591 | − | 0.180318i | ||||
\(933\) | 0.0917014 | + | 0.0379840i | 9.82866e−5 | + | 4.07116e-5i | ||||
\(934\) | −382.591 | − | 119.841i | −0.409627 | − | 0.128310i | ||||
\(935\) | 755.874 | + | 755.874i | 0.808422 | + | 0.808422i | ||||
\(936\) | −358.649 | − | 461.989i | −0.383172 | − | 0.493578i | ||||
\(937\) | 1.75732 | + | 1.75732i | 0.00187547 | + | 0.00187547i | 0.708044 | − | 0.706168i | \(-0.249578\pi\) |
−0.706168 | + | 0.708044i | \(0.749578\pi\) | |||||||
\(938\) | 1532.98 | − | 338.419i | 1.63431 | − | 0.360788i | ||||
\(939\) | −66.1379 | + | 159.671i | −0.0704343 | + | 0.170044i | ||||
\(940\) | 722.193 | + | 157.263i | 0.768291 | + | 0.167301i | ||||
\(941\) | 584.608 | + | 1411.37i | 0.621262 | + | 1.49986i | 0.850222 | + | 0.526424i | \(0.176467\pi\) |
−0.228960 | + | 0.973436i | \(0.573533\pi\) | |||||||
\(942\) | −10.2091 | − | 114.220i | −0.0108377 | − | 0.121253i | ||||
\(943\) | −147.861 | −0.156798 | ||||||||
\(944\) | −43.2070 | + | 1195.61i | −0.0457701 | + | 1.26654i | ||||
\(945\) | −172.748 | − | 46.8010i | −0.182802 | − | 0.0495248i | ||||
\(946\) | −614.221 | + | 54.8998i | −0.649282 | + | 0.0580336i | ||||
\(947\) | −155.483 | + | 64.4032i | −0.164185 | + | 0.0680076i | −0.463262 | − | 0.886221i | \(-0.653321\pi\) |
0.299077 | + | 0.954229i | \(0.403321\pi\) | |||||||
\(948\) | −102.215 | + | 65.6588i | −0.107821 | + | 0.0692604i | ||||
\(949\) | 35.5933 | − | 85.9297i | 0.0375061 | − | 0.0905477i | ||||
\(950\) | −433.364 | − | 828.681i | −0.456172 | − | 0.872296i | ||||
\(951\) | 54.6444 | + | 54.6444i | 0.0574599 | + | 0.0574599i | ||||
\(952\) | 1107.38 | − | 3.17081i | 1.16322 | − | 0.00333068i | ||||
\(953\) | −19.0245 | − | 19.0245i | −0.0199628 | − | 0.0199628i | 0.697055 | − | 0.717018i | \(-0.254493\pi\) |
−0.717018 | + | 0.697055i | \(0.754493\pi\) | |||||||
\(954\) | 383.491 | + | 120.123i | 0.401982 | + | 0.125915i | ||||
\(955\) | −264.646 | + | 638.912i | −0.277116 | + | 0.669018i | ||||
\(956\) | −960.669 | + | 173.114i | −1.00488 | + | 0.181082i | ||||
\(957\) | −121.470 | + | 50.3143i | −0.126927 | + | 0.0525750i | ||||
\(958\) | 350.559 | + | 293.034i | 0.365928 | + | 0.305881i | ||||
\(959\) | −111.872 | + | 412.932i | −0.116655 | + | 0.430586i | ||||
\(960\) | −79.1063 | + | 46.8682i | −0.0824024 | + | 0.0488210i | ||||
\(961\) | −2344.77 | −2.43993 | ||||||||
\(962\) | −27.5980 | − | 23.0693i | −0.0286882 | − | 0.0239806i | ||||
\(963\) | −157.520 | − | 380.287i | −0.163572 | − | 0.394898i | ||||
\(964\) | −222.557 | − | 1235.04i | −0.230868 | − | 1.28117i | ||||
\(965\) | 68.8593 | − | 166.241i | 0.0713568 | − | 0.172270i | ||||
\(966\) | 53.4357 | + | 34.1094i | 0.0553165 | + | 0.0353099i | ||||
\(967\) | 320.364 | + | 320.364i | 0.331297 | + | 0.331297i | 0.853079 | − | 0.521782i | \(-0.174733\pi\) |
−0.521782 | + | 0.853079i | \(0.674733\pi\) | |||||||
\(968\) | −353.414 | − | 1289.85i | −0.365097 | − | 1.33249i | ||||
\(969\) | 198.508 | + | 198.508i | 0.204859 | + | 0.204859i | ||||
\(970\) | −974.067 | + | 509.394i | −1.00419 | + | 0.525149i | ||||
\(971\) | −1585.62 | − | 656.783i | −1.63297 | − | 0.676399i | −0.637411 | − | 0.770524i | \(-0.719995\pi\) |
−0.995560 | + | 0.0941247i | \(0.969995\pi\) | |||||||
\(972\) | −357.905 | + | 229.905i | −0.368215 | + | 0.236528i | ||||
\(973\) | 243.032 | − | 31.3112i | 0.249776 | − | 0.0321800i | ||||
\(974\) | 444.367 | − | 39.7180i | 0.456229 | − | 0.0407782i | ||||
\(975\) | 55.7191i | 0.0571478i | ||||||||
\(976\) | 306.500 | − | 285.120i | 0.314037 | − | 0.292131i | ||||
\(977\) | − | 288.549i | − | 0.295342i | −0.989037 | − | 0.147671i | \(-0.952822\pi\) | ||
0.989037 | − | 0.147671i | \(-0.0471777\pi\) | |||||||
\(978\) | 68.1506 | − | 6.09137i | 0.0696836 | − | 0.00622840i | ||||
\(979\) | −813.577 | − | 1964.15i | −0.831029 | − | 2.00628i | ||||
\(980\) | 422.482 | − | 459.410i | 0.431104 | − | 0.468786i | ||||
\(981\) | 557.941 | − | 1346.99i | 0.568747 | − | 1.37308i | ||||
\(982\) | −373.989 | − | 715.145i | −0.380844 | − | 0.728253i | ||||
\(983\) | 132.660 | + | 132.660i | 0.134954 | + | 0.134954i | 0.771357 | − | 0.636403i | \(-0.219578\pi\) |
−0.636403 | + | 0.771357i | \(0.719578\pi\) | |||||||
\(984\) | −32.6072 | − | 42.0025i | −0.0331374 | − | 0.0426854i | ||||
\(985\) | 710.002 | − | 710.002i | 0.720814 | − | 0.720814i | ||||
\(986\) | 647.896 | + | 202.944i | 0.657095 | + | 0.205826i | ||||
\(987\) | 111.963 | − | 145.079i | 0.113438 | − | 0.146990i | ||||
\(988\) | 859.133 | + | 596.776i | 0.869568 | + | 0.604024i | ||||
\(989\) | 69.7620 | + | 168.420i | 0.0705379 | + | 0.170294i | ||||
\(990\) | 609.935 | − | 729.670i | 0.616096 | − | 0.737041i | ||||
\(991\) | −552.454 | −0.557472 | −0.278736 | − | 0.960368i | \(-0.589915\pi\) | ||||
−0.278736 | + | 0.960368i | \(0.589915\pi\) | |||||||
\(992\) | 1734.74 | + | 613.012i | 1.74873 | + | 0.617956i | ||||
\(993\) | − | 200.027i | − | 0.201438i | ||||||
\(994\) | −718.719 | + | 502.298i | −0.723058 | + | 0.505330i | ||||
\(995\) | 101.531 | + | 245.117i | 0.102041 | + | 0.246349i | ||||
\(996\) | −54.0380 | + | 77.7945i | −0.0542551 | + | 0.0781069i | ||||
\(997\) | 358.363 | − | 865.165i | 0.359442 | − | 0.867769i | −0.635937 | − | 0.771741i | \(-0.719386\pi\) |
0.995379 | − | 0.0960277i | \(-0.0306137\pi\) | |||||||
\(998\) | −557.478 | + | 1779.74i | −0.558595 | + | 1.78331i | ||||
\(999\) | −12.2860 | + | 12.2860i | −0.0122983 | + | 0.0122983i |
(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 | 224.3.v.b.69.20 | yes | 240 | |
7.6 | odd | 2 | inner | 224.3.v.b.69.19 | yes | 240 | |
32.13 | even | 8 | inner | 224.3.v.b.13.19 | ✓ | 240 | |
224.13 | odd | 8 | inner | 224.3.v.b.13.20 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.3.v.b.13.19 | ✓ | 240 | 32.13 | even | 8 | inner | |
224.3.v.b.13.20 | yes | 240 | 224.13 | odd | 8 | inner | |
224.3.v.b.69.19 | yes | 240 | 7.6 | odd | 2 | inner | |
224.3.v.b.69.20 | yes | 240 | 1.1 | even | 1 | trivial |