Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1320,2,Mod(361,1320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1320, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1320.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1320 = 2^{3} \cdot 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1320.bw (of order \(5\), 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: | \(10.5402530668\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.159390625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 6x^{6} - 11x^{5} + 21x^{4} - 5x^{3} + 10x^{2} + 25x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 961.2 | ||
Root | \(0.453245 + 1.39494i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1320.961 |
Dual form | 1320.2.bw.c.1081.2 |
$q$-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 \(\left(\mathbb{Z}/1320\mathbb{Z}\right)^\times\).
\(n\) | \(661\) | \(881\) | \(991\) | \(1057\) | \(1201\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.309017 | − | 0.951057i | 0.178411 | − | 0.549093i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.809017 | − | 0.587785i | 0.361803 | − | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.953245 | + | 2.93379i | 0.360293 | + | 1.10887i | 0.952877 | + | 0.303358i | \(0.0981079\pi\) |
−0.592584 | + | 0.805509i | \(0.701892\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.22899 | − | 2.45593i | −0.672067 | − | 0.740490i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.22462 | + | 3.79591i | 1.44905 | + | 1.05280i | 0.986052 | + | 0.166436i | \(0.0532260\pi\) |
0.462997 | + | 0.886360i | \(0.346774\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.309017 | − | 0.951057i | −0.0797878 | − | 0.245562i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.809017 | − | 0.587785i | 0.196215 | − | 0.142559i | −0.485340 | − | 0.874326i | \(-0.661304\pi\) |
0.681555 | + | 0.731767i | \(0.261304\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.600175 | − | 1.84715i | 0.137690 | − | 0.423765i | −0.858309 | − | 0.513133i | \(-0.828485\pi\) |
0.995999 | + | 0.0893680i | \(0.0284847\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.08477 | 0.673151 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.524524 | 0.109371 | 0.0546854 | − | 0.998504i | \(-0.482584\pi\) | ||||
0.0546854 | + | 0.998504i | \(0.482584\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.424349 | + | 1.30601i | 0.0787996 | + | 0.242520i | 0.982694 | − | 0.185235i | \(-0.0593046\pi\) |
−0.903895 | + | 0.427755i | \(0.859305\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.15604 | + | 4.47263i | 1.10566 | + | 0.803308i | 0.981974 | − | 0.189014i | \(-0.0605291\pi\) |
0.123684 | + | 0.992322i | \(0.460529\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.02452 | + | 1.36098i | −0.526502 | + | 0.236915i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.49563 | + | 1.81318i | 0.421838 | + | 0.306483i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.12637 | + | 3.46661i | 0.185174 | + | 0.569907i | 0.999951 | − | 0.00986711i | \(-0.00314085\pi\) |
−0.814777 | + | 0.579774i | \(0.803141\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.22462 | − | 3.79591i | 0.836609 | − | 0.607832i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.22503 | − | 3.77026i | 0.191318 | − | 0.588815i | −0.808682 | − | 0.588246i | \(-0.799819\pi\) |
1.00000 | 0.000569370i | \(-0.000181236\pi\) | ||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.39530 | 0.670276 | 0.335138 | − | 0.942169i | \(-0.391217\pi\) | ||||
0.335138 | + | 0.942169i | \(0.391217\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.428721 | + | 1.31947i | −0.0625354 | + | 0.192464i | −0.977443 | − | 0.211199i | \(-0.932263\pi\) |
0.914908 | + | 0.403663i | \(0.132263\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.03531 | + | 1.47874i | −0.290758 | + | 0.211248i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.309017 | − | 0.951057i | −0.0432710 | − | 0.133175i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.14460 | + | 5.19085i | 0.981386 | + | 0.713019i | 0.958018 | − | 0.286708i | \(-0.0925610\pi\) |
0.0233681 | + | 0.999727i | \(0.492561\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.24685 | − | 0.676718i | −0.437806 | − | 0.0912487i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.57128 | − | 1.14160i | −0.208121 | − | 0.151209i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.14938 | − | 6.61511i | −0.279825 | − | 0.861214i | −0.987902 | − | 0.155079i | \(-0.950437\pi\) |
0.708077 | − | 0.706135i | \(-0.249563\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.02285 | − | 6.55549i | 1.15526 | − | 0.839344i | 0.166087 | − | 0.986111i | \(-0.446887\pi\) |
0.989171 | + | 0.146767i | \(0.0468867\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.953245 | − | 2.93379i | 0.120098 | − | 0.369622i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.45799 | 0.801015 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.29335 | −0.646686 | −0.323343 | − | 0.946282i | \(-0.604807\pi\) | ||||
−0.323343 | + | 0.946282i | \(0.604807\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.162087 | − | 0.498852i | 0.0195130 | − | 0.0600547i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.6228 | + | 7.71790i | −1.26069 | + | 0.915946i | −0.998791 | − | 0.0491489i | \(-0.984349\pi\) |
−0.261900 | + | 0.965095i | \(0.584349\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.186611 | + | 0.574329i | 0.0218412 | + | 0.0672202i | 0.961383 | − | 0.275214i | \(-0.0887487\pi\) |
−0.939542 | + | 0.342434i | \(0.888749\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.809017 | − | 0.587785i | −0.0934172 | − | 0.0678716i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.08039 | − | 8.88049i | 0.578965 | − | 1.01203i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.76700 | − | 5.64306i | −0.873856 | − | 0.634894i | 0.0577626 | − | 0.998330i | \(-0.481603\pi\) |
−0.931619 | + | 0.363437i | \(0.881603\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.29320 | − | 4.57228i | 0.690768 | − | 0.501873i | −0.186144 | − | 0.982522i | \(-0.559599\pi\) |
0.876913 | + | 0.480650i | \(0.159599\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.309017 | − | 0.951057i | 0.0335176 | − | 0.103157i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.37322 | 0.147225 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.07936 | 0.220412 | 0.110206 | − | 0.993909i | \(-0.464849\pi\) | ||||
0.110206 | + | 0.993909i | \(0.464849\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.15604 | + | 18.9464i | −0.645329 | + | 1.98612i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.15604 | − | 4.47263i | 0.638352 | − | 0.463790i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.600175 | − | 1.84715i | −0.0615767 | − | 0.189514i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.43305 | − | 3.94735i | −0.551643 | − | 0.400792i | 0.276748 | − | 0.960943i | \(-0.410743\pi\) |
−0.828391 | + | 0.560150i | \(0.810743\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.359735 | + | 3.29706i | 0.0361547 | + | 0.331367i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 12.6890 | + | 9.21911i | 1.26260 | + | 0.917336i | 0.998883 | − | 0.0472625i | \(-0.0150497\pi\) |
0.263722 | + | 0.964599i | \(0.415050\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.57476 | − | 14.0797i | −0.450765 | − | 1.38731i | −0.876036 | − | 0.482245i | \(-0.839822\pi\) |
0.425272 | − | 0.905066i | \(-0.360178\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.49563 | − | 1.81318i | 0.243548 | − | 0.176948i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.60018 | − | 4.92483i | 0.154695 | − | 0.476102i | −0.843435 | − | 0.537231i | \(-0.819470\pi\) |
0.998130 | + | 0.0611296i | \(0.0194703\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.29052 | 0.506740 | 0.253370 | − | 0.967369i | \(-0.418461\pi\) | ||||
0.253370 | + | 0.967369i | \(0.418461\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.64501 | 0.345969 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.78241 | − | 11.6411i | 0.355820 | − | 1.09510i | −0.599713 | − | 0.800215i | \(-0.704719\pi\) |
0.955533 | − | 0.294885i | \(-0.0952814\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.424349 | − | 0.308308i | 0.0395707 | − | 0.0287498i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.99563 | − | 6.14191i | −0.184496 | − | 0.567820i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.49563 | + | 1.81318i | 0.228774 | + | 0.166214i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.06317 | + | 10.9485i | −0.0966521 | + | 0.995318i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.20717 | − | 2.33015i | −0.289181 | − | 0.210102i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.309017 | − | 0.951057i | −0.0276393 | − | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.813389 | − | 0.590962i | 0.0721766 | − | 0.0524394i | −0.551112 | − | 0.834431i | \(-0.685796\pi\) |
0.623288 | + | 0.781992i | \(0.285796\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.35822 | − | 4.18018i | 0.119585 | − | 0.368044i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.3146 | −0.988562 | −0.494281 | − | 0.869302i | \(-0.664569\pi\) | ||||
−0.494281 | + | 0.869302i | \(0.664569\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.99126 | 0.519508 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.309017 | + | 0.951057i | −0.0265959 | + | 0.0818539i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.93617 | − | 2.85979i | 0.336289 | − | 0.244328i | −0.406805 | − | 0.913515i | \(-0.633357\pi\) |
0.743095 | + | 0.669186i | \(0.233357\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.91846 | − | 5.90442i | −0.162722 | − | 0.500807i | 0.836139 | − | 0.548517i | \(-0.184807\pi\) |
−0.998861 | + | 0.0477106i | \(0.984807\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.12241 | + | 0.815476i | 0.0945236 | + | 0.0686754i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.32317 | − | 21.2924i | −0.194273 | − | 1.78056i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.11096 | + | 0.807160i | 0.0922602 | + | 0.0670310i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.777419 | + | 2.39265i | 0.0641204 | + | 0.197342i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.38630 | + | 3.91338i | −0.441263 | + | 0.320596i | −0.786137 | − | 0.618053i | \(-0.787922\pi\) |
0.344874 | + | 0.938649i | \(0.387922\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.39133 | + | 10.4375i | −0.275983 | + | 0.849388i | 0.712975 | + | 0.701190i | \(0.247347\pi\) |
−0.988958 | + | 0.148198i | \(0.952653\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.00000 | −0.0808452 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.60929 | 0.611193 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.18494 | + | 19.0353i | −0.493612 | + | 1.51918i | 0.325497 | + | 0.945543i | \(0.394469\pi\) |
−0.819109 | + | 0.573638i | \(0.805531\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.14460 | − | 5.19085i | 0.566604 | − | 0.411662i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.500000 | + | 1.53884i | 0.0394055 | + | 0.121278i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.7367 | + | 10.7068i | 1.15427 | + | 0.838624i | 0.989042 | − | 0.147632i | \(-0.0471652\pi\) |
0.165224 | + | 0.986256i | \(0.447165\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.64693 | + | 2.87882i | −0.128213 | + | 0.224116i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.51578 | − | 1.82782i | −0.194677 | − | 0.141441i | 0.486177 | − | 0.873860i | \(-0.338391\pi\) |
−0.680854 | + | 0.732419i | \(0.738391\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.87052 | + | 27.3007i | 0.682348 | + | 2.10005i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.57128 | + | 1.14160i | −0.120159 | + | 0.0873004i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.39030 | − | 13.5120i | 0.333788 | − | 1.02730i | −0.633527 | − | 0.773720i | \(-0.718394\pi\) |
0.967316 | − | 0.253575i | \(-0.0816064\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.08477 | 0.233186 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.95554 | −0.522810 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.83084 | + | 21.0232i | −0.510561 | + | 1.57134i | 0.280656 | + | 0.959809i | \(0.409448\pi\) |
−0.791216 | + | 0.611536i | \(0.790552\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.7576 | + | 11.4486i | −1.17125 | + | 0.850965i | −0.991158 | − | 0.132684i | \(-0.957640\pi\) |
−0.180095 | + | 0.983649i | \(0.557640\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.44642 | − | 10.6070i | −0.254767 | − | 0.784092i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.94887 | + | 2.14248i | 0.216805 | + | 0.157518i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.24685 | − | 0.676718i | −0.237433 | − | 0.0494866i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.49563 | − | 1.81318i | −0.181530 | − | 0.131889i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.90441 | − | 18.1719i | −0.427228 | − | 1.31487i | −0.900844 | − | 0.434142i | \(-0.857052\pi\) |
0.473616 | − | 0.880731i | \(-0.342948\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.61325 | + | 3.35172i | −0.332069 | + | 0.241262i | −0.741308 | − | 0.671165i | \(-0.765794\pi\) |
0.409239 | + | 0.912427i | \(0.365794\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.99563 | − | 6.14191i | 0.142910 | − | 0.439831i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.1035 | −1.14733 | −0.573663 | − | 0.819091i | \(-0.694478\pi\) | ||||
−0.573663 | + | 0.819091i | \(0.694478\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.3321 | −0.803311 | −0.401656 | − | 0.915791i | \(-0.631565\pi\) | ||||
−0.401656 | + | 0.915791i | \(0.631565\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.63574 | + | 5.03428i | −0.115376 | + | 0.355091i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.42705 | + | 2.48990i | −0.240532 | + | 0.174757i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.22503 | − | 3.77026i | −0.0855599 | − | 0.263326i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.424349 | − | 0.308308i | −0.0294943 | − | 0.0214289i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.87425 | + | 2.64330i | −0.406331 | + | 0.182841i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.64693 | + | 3.37619i | 0.319908 | + | 0.232427i | 0.736136 | − | 0.676833i | \(-0.236648\pi\) |
−0.416228 | + | 0.909260i | \(0.636648\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.05754 | + | 12.4878i | 0.278018 | + | 0.855652i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.55587 | − | 2.58349i | 0.242508 | − | 0.176193i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.25352 | + | 22.3240i | −0.492401 | + | 1.51545i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.603886 | 0.0408068 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.45799 | 0.434411 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.40498 | + | 4.32407i | −0.0940842 | + | 0.289561i | −0.987014 | − | 0.160635i | \(-0.948646\pi\) |
0.892930 | + | 0.450196i | \(0.148646\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 6.49563 | + | 19.9915i | 0.431130 | + | 1.32688i | 0.897001 | + | 0.442029i | \(0.145741\pi\) |
−0.465871 | + | 0.884853i | \(0.654259\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.06361 | + | 3.67892i | 0.334612 | + | 0.243110i | 0.742385 | − | 0.669973i | \(-0.233694\pi\) |
−0.407773 | + | 0.913083i | \(0.633694\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.87592 | − | 7.57597i | −0.452403 | − | 0.498462i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −15.4043 | − | 11.1919i | −1.00917 | − | 0.733206i | −0.0451366 | − | 0.998981i | \(-0.514372\pi\) |
−0.964035 | + | 0.265775i | \(0.914372\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.428721 | + | 1.31947i | 0.0279667 | + | 0.0860726i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.76700 | + | 5.64306i | −0.504521 | + | 0.366556i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.71050 | + | 11.4197i | −0.240012 | + | 0.738681i | 0.756405 | + | 0.654104i | \(0.226954\pi\) |
−0.996417 | + | 0.0845775i | \(0.973046\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.1237 | −0.974206 | −0.487103 | − | 0.873344i | \(-0.661946\pi\) | ||||
−0.487103 | + | 0.873344i | \(0.661946\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.777419 | + | 2.39265i | −0.0496675 | + | 0.152861i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.1473 | − | 7.37245i | 0.645657 | − | 0.469097i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.40379 | − | 7.39810i | −0.152334 | − | 0.468835i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.1419 | − | 9.54812i | −0.829507 | − | 0.602672i | 0.0899130 | − | 0.995950i | \(-0.471341\pi\) |
−0.919420 | + | 0.393278i | \(0.871341\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.16916 | − | 1.28819i | −0.0735045 | − | 0.0809881i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.809017 | − | 0.587785i | −0.0506626 | − | 0.0368085i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.84417 | − | 5.67577i | −0.115036 | − | 0.354045i | 0.876918 | − | 0.480639i | \(-0.159595\pi\) |
−0.991955 | + | 0.126594i | \(0.959595\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.09658 | + | 6.60905i | −0.565234 | + | 0.410667i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.424349 | − | 1.30601i | 0.0262665 | − | 0.0808401i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −18.1210 | −1.11739 | −0.558694 | − | 0.829374i | \(-0.688697\pi\) | ||||
−0.558694 | + | 0.829374i | \(0.688697\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.83121 | 0.542497 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.642558 | − | 1.97759i | 0.0393239 | − | 0.121027i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 19.0066 | − | 13.8091i | 1.15885 | − | 0.841954i | 0.169218 | − | 0.985579i | \(-0.445876\pi\) |
0.989632 | + | 0.143625i | \(0.0458759\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.87884 | − | 30.4039i | −0.600097 | − | 1.84691i | −0.527515 | − | 0.849546i | \(-0.676876\pi\) |
−0.0725817 | − | 0.997362i | \(-0.523124\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 16.1167 | + | 11.7095i | 0.975429 | + | 0.708691i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.02452 | + | 1.36098i | −0.182386 | + | 0.0820699i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −20.2004 | − | 14.6765i | −1.21373 | − | 0.881824i | −0.218162 | − | 0.975912i | \(-0.570006\pi\) |
−0.995564 | + | 0.0940888i | \(0.970006\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.35140 | − | 7.23686i | −0.140775 | − | 0.433260i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.09747 | − | 2.97699i | 0.244435 | − | 0.177592i | −0.458822 | − | 0.888528i | \(-0.651728\pi\) |
0.703257 | + | 0.710936i | \(0.251728\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.31245 | − | 7.11700i | 0.137461 | − | 0.423062i | −0.858504 | − | 0.512808i | \(-0.828605\pi\) |
0.995965 | + | 0.0897458i | \(0.0286055\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.94221 | −0.115046 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.2289 | 0.721848 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.94427 | + | 15.2169i | −0.290840 | + | 0.895112i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −5.43305 | + | 3.94735i | −0.318491 | + | 0.231397i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.42831 | − | 13.6289i | −0.258705 | − | 0.796211i | −0.993077 | − | 0.117465i | \(-0.962523\pi\) |
0.734372 | − | 0.678747i | \(-0.237477\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.62715 | − | 4.08836i | −0.327625 | − | 0.238034i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.24685 | + | 0.676718i | 0.188401 | + | 0.0392672i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.74044 | + | 1.99105i | 0.158484 | + | 0.115145i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.18979 | + | 12.8949i | 0.241496 | + | 0.743248i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.6890 | − | 9.21911i | 0.728965 | − | 0.529624i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.44642 | − | 10.6070i | 0.197342 | − | 0.607355i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.18776 | −0.296081 | −0.148041 | − | 0.988981i | \(-0.547297\pi\) | ||||
−0.148041 | + | 0.988981i | \(0.547297\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.8042 | −0.842184 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.92445 | + | 27.4666i | −0.506059 | + | 1.55749i | 0.292924 | + | 0.956136i | \(0.405372\pi\) |
−0.798983 | + | 0.601353i | \(0.794628\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.1202 | − | 18.2509i | 1.41988 | − | 1.03160i | 0.428087 | − | 0.903738i | \(-0.359188\pi\) |
0.991792 | − | 0.127865i | \(-0.0408123\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.953245 | − | 2.93379i | −0.0537093 | − | 0.165300i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.37322 | + | 0.997704i | 0.0771278 | + | 0.0560366i | 0.625681 | − | 0.780079i | \(-0.284821\pi\) |
−0.548553 | + | 0.836116i | \(0.684821\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.26160 | − | 3.95326i | 0.126625 | − | 0.221340i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.18931 | − | 3.04371i | −0.233825 | − | 0.169884i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.600175 | − | 1.84715i | −0.0333946 | − | 0.102778i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.22462 | − | 3.79591i | 0.289810 | − | 0.210559i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.63486 | − | 5.03158i | 0.0904080 | − | 0.278247i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.27971 | −0.235948 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −23.3241 | −1.28201 | −0.641004 | − | 0.767537i | \(-0.721482\pi\) | ||||
−0.641004 | + | 0.767537i | \(0.721482\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.12637 | − | 3.46661i | 0.0617247 | − | 0.189969i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.28241 | + | 3.11136i | −0.233973 | + | 0.169992i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.43220 | + | 16.7186i | 0.295911 | + | 0.910720i | 0.982914 | + | 0.184066i | \(0.0589259\pi\) |
−0.687003 | + | 0.726655i | \(0.741074\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.90249 | − | 7.19458i | −0.537829 | − | 0.390756i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.73733 | − | 25.0883i | −0.148235 | − | 1.35861i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.1909 | + | 8.13070i | 0.604254 | + | 0.439016i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.162087 | − | 0.498852i | −0.00872646 | − | 0.0268573i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −26.0472 | + | 18.9244i | −1.39829 | + | 1.01592i | −0.403389 | + | 0.915028i | \(0.632168\pi\) |
−0.994898 | + | 0.100887i | \(0.967832\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.43076 | − | 13.6365i | 0.237173 | − | 0.729944i | −0.759652 | − | 0.650329i | \(-0.774631\pi\) |
0.996826 | − | 0.0796149i | \(-0.0253691\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.45799 | −0.344702 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.33128 | 0.283756 | 0.141878 | − | 0.989884i | \(-0.454686\pi\) | ||||
0.141878 | + | 0.989884i | \(0.454686\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.05754 | + | 12.4878i | −0.215352 | + | 0.662785i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.49563 | − | 1.81318i | 0.132083 | − | 0.0959637i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.92577 | + | 18.2376i | 0.312750 | + | 0.962545i | 0.976671 | + | 0.214742i | \(0.0688912\pi\) |
−0.663921 | + | 0.747803i | \(0.731109\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.3196 | + | 8.95069i | 0.648399 | + | 0.471089i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.0841 | + | 4.39441i | 0.529278 | + | 0.230647i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.488554 | + | 0.354955i | 0.0255721 | + | 0.0185792i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.53172 | + | 10.8695i | 0.184354 | + | 0.567384i | 0.999937 | − | 0.0112572i | \(-0.00358336\pi\) |
−0.815583 | + | 0.578641i | \(0.803583\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.20717 | + | 2.33015i | −0.166959 | + | 0.121303i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.41831 | + | 25.9089i | −0.437057 | + | 1.34512i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −35.4156 | −1.83375 | −0.916875 | − | 0.399175i | \(-0.869297\pi\) | ||||
−0.916875 | + | 0.399175i | \(0.869297\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.00000 | −0.0516398 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.74044 | + | 8.43421i | −0.141140 | + | 0.434384i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.66271 | − | 4.11420i | 0.290874 | − | 0.211332i | −0.432773 | − | 0.901503i | \(-0.642465\pi\) |
0.723646 | + | 0.690171i | \(0.242465\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.310687 | − | 0.956196i | −0.0159170 | − | 0.0489874i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −14.3591 | − | 10.4325i | −0.733716 | − | 0.533076i | 0.157021 | − | 0.987595i | \(-0.449811\pi\) |
−0.890737 | + | 0.454520i | \(0.849811\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.10970 | − | 10.1707i | −0.0565555 | − | 0.518344i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.55587 | − | 2.58349i | −0.180755 | − | 0.131326i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 8.94789 | + | 27.5388i | 0.453676 | + | 1.39627i | 0.872683 | + | 0.488288i | \(0.162378\pi\) |
−0.419007 | + | 0.907983i | \(0.637622\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.424349 | − | 0.308308i | 0.0214602 | − | 0.0155918i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.49641 | + | 10.7608i | −0.176370 | + | 0.542812i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −9.60055 | −0.483056 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −38.7875 | −1.94669 | −0.973344 | − | 0.229349i | \(-0.926340\pi\) | ||||
−0.973344 | + | 0.229349i | \(0.926340\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.85140 | − | 5.69802i | 0.0926859 | − | 0.285258i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.1897 | + | 7.40327i | −0.508850 | + | 0.369701i | −0.812387 | − | 0.583118i | \(-0.801832\pi\) |
0.303537 | + | 0.952820i | \(0.401832\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.1853 | + | 46.7356i | 0.756434 | + | 2.32807i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.809017 | + | 0.587785i | 0.0402004 | + | 0.0292073i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.00307 | − | 10.4933i | 0.297561 | − | 0.520135i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −31.2913 | − | 22.7344i | −1.54725 | − | 1.12415i | −0.945574 | − | 0.325408i | \(-0.894498\pi\) |
−0.601679 | − | 0.798738i | \(-0.705502\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.50348 | − | 4.62724i | −0.0741613 | − | 0.228245i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 17.3584 | − | 12.6116i | 0.854153 | − | 0.620578i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.40379 | − | 7.39810i | 0.117997 | − | 0.363158i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.20828 | −0.304021 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.97005 | 0.291656 | 0.145828 | − | 0.989310i | \(-0.453415\pi\) | ||||
0.145828 | + | 0.989310i | \(0.453415\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.71566 | + | 14.5133i | −0.229827 | + | 0.707336i | 0.767938 | + | 0.640524i | \(0.221283\pi\) |
−0.997766 | + | 0.0668120i | \(0.978717\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.12241 | − | 0.815476i | 0.0545732 | − | 0.0396498i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.309017 | − | 0.951057i | −0.0149895 | − | 0.0461330i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 27.8334 | + | 20.2221i | 1.34695 | + | 0.978618i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −20.9681 | − | 4.37024i | −1.01235 | − | 0.210997i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.1281 | − | 12.4443i | −0.825034 | − | 0.599422i | 0.0931163 | − | 0.995655i | \(-0.470317\pi\) |
−0.918150 | + | 0.396233i | \(0.870317\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.98276 | − | 9.18001i | −0.143343 | − | 0.441163i | 0.853452 | − | 0.521172i | \(-0.174505\pi\) |
−0.996794 | + | 0.0800092i | \(0.974505\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.11096 | − | 0.807160i | 0.0532664 | − | 0.0387003i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.314806 | − | 0.968874i | 0.0150592 | − | 0.0463475i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 30.9383 | 1.47660 | 0.738302 | − | 0.674470i | \(-0.235628\pi\) | ||||
0.738302 | + | 0.674470i | \(0.235628\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.51578 | 0.119799 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.68827 | − | 17.5067i | 0.270258 | − | 0.831768i | −0.720178 | − | 0.693790i | \(-0.755940\pi\) |
0.990435 | − | 0.137978i | \(-0.0440603\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.68224 | − | 1.22222i | 0.0797458 | − | 0.0579387i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.05738 | + | 6.33198i | 0.0973109 | + | 0.299492i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.8075 | − | 8.57863i | −0.557229 | − | 0.404850i | 0.273215 | − | 0.961953i | \(-0.411913\pi\) |
−0.830444 | + | 0.557103i | \(0.811913\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.9901 | + | 5.39529i | −0.564590 | + | 0.254054i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.87863 | + | 6.45070i | 0.417154 | + | 0.303080i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.15604 | + | 18.9464i | 0.288600 | + | 0.888219i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.0862 | − | 16.0465i | 1.03315 | − | 0.750626i | 0.0642112 | − | 0.997936i | \(-0.479547\pi\) |
0.968936 | + | 0.247311i | \(0.0795469\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.309017 | + | 0.951057i | −0.0144237 | + | 0.0443915i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.2090 | 0.475481 | 0.237741 | − | 0.971329i | \(-0.423593\pi\) | ||||
0.237741 | + | 0.971329i | \(0.423593\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.7077 | 1.33416 | 0.667079 | − | 0.744987i | \(-0.267544\pi\) | ||||
0.667079 | + | 0.744987i | \(0.267544\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.35140 | − | 7.23686i | 0.109044 | − | 0.335602i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.0326 | − | 8.01568i | 0.510529 | − | 0.370921i | −0.302495 | − | 0.953151i | \(-0.597820\pi\) |
0.813024 | + | 0.582230i | \(0.197820\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.04586 | − | 15.5296i | −0.232996 | − | 0.717089i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.1924 | + | 11.7645i | 0.746106 | + | 0.542078i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −9.79709 | − | 10.7945i | −0.450471 | − | 0.496333i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.57128 | − | 1.14160i | −0.0720952 | − | 0.0523802i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.72899 | − | 8.39898i | −0.124952 | − | 0.384563i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.7961 | − | 11.4765i | 0.721741 | − | 0.524376i | −0.165199 | − | 0.986260i | \(-0.552827\pi\) |
0.886940 | + | 0.461885i | \(0.152827\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.27408 | + | 22.3873i | −0.331669 | + | 1.02077i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.61803 | 0.0736231 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.71563 | −0.304941 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.31247 | − | 16.3501i | 0.240731 | − | 0.740894i | −0.755578 | − | 0.655059i | \(-0.772644\pi\) |
0.996309 | − | 0.0858359i | \(-0.0273561\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.7367 | − | 10.7068i | 0.666416 | − | 0.484180i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.54286 | + | 29.3699i | 0.430663 | + | 1.32545i | 0.897466 | + | 0.441084i | \(0.145406\pi\) |
−0.466802 | + | 0.884362i | \(0.654594\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.11096 | + | 0.807160i | 0.0500351 | + | 0.0363526i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.22899 | + | 2.45593i | 0.100186 | + | 0.110386i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −32.7688 | − | 23.8079i | −1.46988 | − | 1.06793i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.7555 | − | 42.3350i | −0.615780 | − | 1.89518i | −0.389039 | − | 0.921221i | \(-0.627193\pi\) |
−0.226741 | − | 0.973955i | \(-0.572807\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.51578 | + | 1.82782i | −0.112397 | + | 0.0816610i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.74827 | − | 23.8467i | 0.345478 | − | 1.06327i | −0.615849 | − | 0.787864i | \(-0.711187\pi\) |
0.961327 | − | 0.275409i | \(-0.0888131\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.6845 | 0.697951 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 28.7056 | 1.27486 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −8.22295 | + | 25.3076i | −0.364476 | + | 1.12174i | 0.585833 | + | 0.810432i | \(0.300768\pi\) |
−0.950309 | + | 0.311310i | \(0.899232\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.50707 | + | 1.09495i | −0.0666690 | + | 0.0484379i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.600175 | + | 1.84715i | 0.0264984 | + | 0.0815536i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.9769 | − | 8.70171i | −0.527764 | − | 0.383443i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.19613 | − | 1.88818i | 0.184546 | − | 0.0830419i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.4940 | − | 8.35085i | −0.504529 | − | 0.366562i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.50235 | − | 10.7791i | −0.153441 | − | 0.472242i | 0.844559 | − | 0.535463i | \(-0.179863\pi\) |
−0.998000 | + | 0.0632205i | \(0.979863\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.79627 | + | 4.93778i | −0.297180 | + | 0.215914i | −0.726376 | − | 0.687297i | \(-0.758797\pi\) |
0.429196 | + | 0.903211i | \(0.358797\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.953245 | − | 2.93379i | 0.0416030 | − | 0.128041i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.60929 | 0.331466 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.7249 | −0.988038 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.14938 | + | 6.61511i | −0.0932751 | + | 0.287071i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 20.7119 | − | 15.0481i | 0.897131 | − | 0.651804i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.60018 | − | 4.92483i | −0.0691816 | − | 0.212919i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 17.8834 | + | 12.9930i | 0.771724 | + | 0.560691i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.16837 | + | 1.70247i | 0.351836 | + | 0.0733308i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.0889 | − | 17.5016i | −1.03566 | − | 0.752453i | −0.0662288 | − | 0.997804i | \(-0.521097\pi\) |
−0.969434 | + | 0.245351i | \(0.921097\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.01887 | + | 18.5242i | 0.258294 | + | 0.794948i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.28012 | − | 3.10969i | 0.183340 | − | 0.133204i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.19639 | − | 12.9152i | 0.179425 | − | 0.552212i | −0.820383 | − | 0.571814i | \(-0.806240\pi\) |
0.999808 | + | 0.0196020i | \(0.00623990\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −11.1529 | −0.475993 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.66708 | 0.113622 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.15167 | − | 28.1660i | 0.389169 | − | 1.19774i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.94887 | − | 2.14248i | 0.125173 | − | 0.0909433i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 12.3211 | + | 37.9203i | 0.522060 | + | 1.60674i | 0.770057 | + | 0.637975i | \(0.220228\pi\) |
−0.247997 | + | 0.968761i | \(0.579772\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.9638 | + | 16.6842i | 0.971264 | + | 0.705664i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.64693 | + | 2.87882i | −0.0695334 | + | 0.121544i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.8831 | + | 15.1725i | 0.880118 | + | 0.639443i | 0.933283 | − | 0.359142i | \(-0.116931\pi\) |
−0.0531644 | + | 0.998586i | \(0.516931\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.78241 | − | 11.6411i | −0.159127 | − | 0.489744i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.49563 | + | 1.81318i | −0.104807 | + | 0.0761464i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.66100 | − | 23.5781i | 0.321166 | − | 0.988446i | −0.651976 | − | 0.758239i | \(-0.726060\pi\) |
0.973142 | − | 0.230207i | \(-0.0739402\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.66626 | −0.320823 | −0.160412 | − | 0.987050i | \(-0.551282\pi\) | ||||
−0.160412 | + | 0.987050i | \(0.551282\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −19.1071 | −0.798210 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.162087 | − | 0.498852i | 0.00675949 | − | 0.0208036i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.7745 | − | 10.0078i | 0.573440 | − | 0.416629i | −0.262913 | − | 0.964820i | \(-0.584683\pi\) |
0.836353 | + | 0.548191i | \(0.184683\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.76211 | + | 5.42320i | 0.0732306 | + | 0.225381i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 19.4130 | + | 14.1044i | 0.805389 | + | 0.585149i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.17690 | − | 29.1170i | −0.131574 | − | 1.20590i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.22462 | − | 3.79591i | −0.216012 | − | 0.156942i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.56556 | + | 4.81831i | 0.0646177 | + | 0.198873i | 0.978153 | − | 0.207887i | \(-0.0666586\pi\) |
−0.913535 | + | 0.406760i | \(0.866659\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.9563 | − | 8.68677i | 0.492651 | − | 0.357932i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.97626 | + | 15.3153i | −0.204696 | + | 0.629989i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.21229 | −0.337238 | −0.168619 | − | 0.985681i | \(-0.553931\pi\) | ||||
−0.168619 | + | 0.985681i | \(0.553931\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.08477 | 0.126463 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.50181 | + | 10.7775i | −0.143320 | + | 0.441092i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.3246 | − | 7.50127i | 0.421852 | − | 0.306493i | −0.356531 | − | 0.934284i | \(-0.616040\pi\) |
0.778383 | + | 0.627790i | \(0.216040\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.27106 | + | 19.3004i | 0.255802 | + | 0.787278i | 0.993671 | + | 0.112333i | \(0.0358324\pi\) |
−0.737869 | + | 0.674944i | \(0.764168\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.28241 | + | 3.11136i | 0.174393 | + | 0.126704i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.57524 | + | 9.48244i | 0.226666 | + | 0.385516i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.3548 | + | 16.9682i | 0.947941 | + | 0.688720i | 0.950319 | − | 0.311277i | \(-0.100757\pi\) |
−0.00237774 | + | 0.999997i | \(0.500757\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.30902 | + | 4.02874i | 0.0530440 | + | 0.163253i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.24848 | + | 5.26633i | −0.293242 | + | 0.213053i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.358309 | − | 1.10276i | 0.0144720 | − | 0.0445401i | −0.943560 | − | 0.331202i | \(-0.892546\pi\) |
0.958032 | + | 0.286662i | \(0.0925457\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.96428 | −0.159855 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.4380 | −1.06435 | −0.532176 | − | 0.846633i | \(-0.678626\pi\) | ||||
−0.532176 | + | 0.846633i | \(0.678626\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.38888 | + | 10.4299i | −0.136211 | + | 0.419214i | −0.995776 | − | 0.0918118i | \(-0.970734\pi\) |
0.859566 | + | 0.511025i | \(0.170734\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.424349 | + | 0.308308i | −0.0170285 | + | 0.0123720i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.98214 | + | 6.10040i | 0.0794128 | + | 0.244407i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.698680 | + | 6.40357i | 0.0279026 | + | 0.255734i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.94887 | + | 2.14248i | 0.117579 | + | 0.0854263i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.7044 | − | 39.1002i | −0.505755 | − | 1.55655i | −0.799498 | − | 0.600668i | \(-0.794901\pi\) |
0.293744 | − | 0.955884i | \(-0.405099\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.64693 | − | 3.37619i | 0.184699 | − | 0.134192i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.310687 | − | 0.956196i | 0.0123292 | − | 0.0379455i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.2469 | −0.643725 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 13.1305 | 0.519434 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.26654 | + | 3.89800i | −0.0500252 | + | 0.153962i | −0.972948 | − | 0.231022i | \(-0.925793\pi\) |
0.922923 | + | 0.384984i | \(0.125793\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.92635 | + | 3.57920i | −0.194276 | + | 0.141150i | −0.680671 | − | 0.732589i | \(-0.738312\pi\) |
0.486395 | + | 0.873739i | \(0.338312\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.35822 | − | 4.18018i | −0.0534799 | − | 0.164594i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −11.2162 | − | 8.14902i | −0.440953 | − | 0.320371i | 0.345060 | − | 0.938580i | \(-0.387858\pi\) |
−0.786014 | + | 0.618209i | \(0.787858\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.4553 | + | 20.0238i | −0.449659 | + | 0.786001i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 18.9900 | + | 13.7970i | 0.744275 | + | 0.540747i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.70393 | + | 26.7879i | 0.340611 | + | 1.04829i | 0.963892 | + | 0.266295i | \(0.0857994\pi\) |
−0.623281 | + | 0.781998i | \(0.714201\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.15371 | + | 6.65056i | −0.357665 | + | 0.259859i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.186611 | − | 0.574329i | 0.00728039 | − | 0.0224067i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 43.0065 | 1.67530 | 0.837648 | − | 0.546210i | \(-0.183930\pi\) | ||||
0.837648 | + | 0.546210i | \(0.183930\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.3342 | 0.790907 | 0.395454 | − | 0.918486i | \(-0.370587\pi\) | ||||
0.395454 | + | 0.918486i | \(0.370587\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.99563 | − | 6.14191i | 0.0775038 | − | 0.238532i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.84703 | − | 3.52157i | 0.187960 | − | 0.136561i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.222581 | + | 0.685035i | 0.00861838 | + | 0.0265246i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.67828 | + | 2.67242i | 0.142210 | + | 0.103322i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −36.2117 | − | 7.54735i | −1.39794 | − | 0.291362i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −21.1155 | − | 15.3413i | −0.813942 | − | 0.591363i | 0.101029 | − | 0.994883i | \(-0.467786\pi\) |
−0.914971 | + | 0.403520i | \(0.867786\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.309017 | + | 0.951057i | 0.0118941 | + | 0.0366062i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 30.9993 | − | 22.5223i | 1.19140 | − | 0.865601i | 0.197987 | − | 0.980205i | \(-0.436560\pi\) |
0.993411 | + | 0.114603i | \(0.0365597\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.40164 | − | 19.7022i | 0.245672 | − | 0.756101i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 21.0203 | 0.805499 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.1783 | 0.389463 | 0.194731 | − | 0.980857i | \(-0.437616\pi\) | ||||
0.194731 | + | 0.980857i | \(0.437616\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.50348 | − | 4.62724i | 0.0574451 | − | 0.176798i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.06361 | − | 3.67892i | 0.193189 | − | 0.140360i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 17.6238 | + | 54.2405i | 0.671414 | + | 2.06640i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 32.9899 | + | 23.9686i | 1.25500 | + | 0.911808i | 0.998501 | − | 0.0547379i | \(-0.0174323\pi\) |
0.256495 | + | 0.966546i | \(0.417432\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −9.32995 | + | 4.19829i | −0.354415 | + | 0.159480i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.02260 | − | 3.64913i | −0.190518 | − | 0.138420i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.22503 | − | 3.77026i | −0.0464013 | − | 0.142809i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −15.4043 | + | 11.1919i | −0.582646 | + | 0.423317i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.8909 | − | 39.6742i | 0.486884 | − | 1.49847i | −0.342351 | − | 0.939572i | \(-0.611223\pi\) |
0.829234 | − | 0.558901i | \(-0.188777\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.07936 | 0.267003 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.38737 | 0.0522514 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −14.9512 | + | 46.0150i | −0.562296 | + | 1.73057i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.37629 | − | 5.35919i | 0.277023 | − | 0.201269i | −0.440595 | − | 0.897706i | \(-0.645233\pi\) |
0.717618 | + | 0.696437i | \(0.245233\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.96673 | + | 9.13066i | 0.111261 | + | 0.342427i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.22899 | + | 2.34600i | 0.120927 | + | 0.0878584i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.3948 | − | 15.8604i | −0.538336 | − | 0.593144i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 9.71421 | + | 7.05779i | 0.362784 | + | 0.263578i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 15.1738 | + | 46.7001i | 0.565886 | + | 1.74162i | 0.665304 | + | 0.746573i | \(0.268302\pi\) |
−0.0994179 | + | 0.995046i | \(0.531698\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 36.9459 | − | 26.8427i | 1.37594 | − | 0.999676i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.67349 | + | 14.3835i | −0.173809 | + | 0.534930i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.37322 | 0.0510002 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.3373 | 0.420477 | 0.210238 | − | 0.977650i | \(-0.432576\pi\) | ||||
0.210238 | + | 0.977650i | \(0.432576\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.55587 | − | 2.58349i | 0.131519 | − | 0.0955538i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.315727 | + | 0.971709i | 0.0116617 | + | 0.0358909i | 0.956718 | − | 0.291017i | \(-0.0939935\pi\) |
−0.945056 | + | 0.326907i | \(0.893993\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 2.03531 | + | 1.47874i | 0.0750735 | + | 0.0545441i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 11.7989 | + | 13.0001i | 0.434616 | + | 0.478865i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.50500 | − | 5.45270i | −0.276076 | − | 0.200581i | 0.441128 | − | 0.897444i | \(-0.354578\pi\) |
−0.717204 | + | 0.696863i | \(0.754578\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.87592 | − | 11.9289i | −0.142386 | − | 0.438218i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 22.6163 | − | 16.4317i | 0.829711 | − | 0.602820i | −0.0897665 | − | 0.995963i | \(-0.528612\pi\) |
0.919478 | + | 0.393142i | \(0.128612\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.05738 | + | 6.33198i | −0.0753767 | + | 0.231986i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −7.77882 | −0.284612 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 15.9738 | 0.583669 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.0920 | − | 37.2155i | 0.441245 | − | 1.35801i | −0.445305 | − | 0.895379i | \(-0.646905\pi\) |
0.886550 | − | 0.462633i | \(-0.153095\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −13.1419 | + | 9.54812i | −0.478916 | + | 0.347953i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.39133 | + | 10.4375i | 0.123423 | + | 0.379858i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.48830 | − | 1.80786i | −0.0904388 | − | 0.0657077i | 0.541647 | − | 0.840606i | \(-0.317801\pi\) |
−0.632086 | + | 0.774898i | \(0.717801\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.58644 | + | 0.713864i | −0.0575840 | + | 0.0259116i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.2919 | − | 25.6411i | −1.27933 | − | 0.929489i | −0.279799 | − | 0.960059i | \(-0.590268\pi\) |
−0.999533 | + | 0.0305702i | \(0.990268\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.04316 | + | 15.5213i | 0.182575 | + | 0.561907i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.809017 | + | 0.587785i | −0.0292501 | + | 0.0212514i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 13.8807 | − | 42.7203i | 0.501202 | − | 1.54254i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −28.7066 | −1.03519 | −0.517593 | − | 0.855627i | \(-0.673172\pi\) | ||||
−0.517593 | + | 0.855627i | \(0.673172\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.96786 | −0.214927 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.56391 | + | 23.2793i | −0.272055 | + | 0.837299i | 0.717929 | + | 0.696117i | \(0.245090\pi\) |
−0.989984 | + | 0.141182i | \(0.954910\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.15604 | − | 4.47263i | 0.221132 | − | 0.160662i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.47459 | + | 10.6937i | 0.124650 | + | 0.383633i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.22899 | − | 4.52563i | −0.223177 | − | 0.162147i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 42.6327 | + | 8.88563i | 1.52552 | + | 0.317953i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.11096 | − | 0.807160i | −0.0397025 | − | 0.0288455i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.18494 | + | 19.0353i | 0.220750 | + | 0.679399i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 39.1894 | − | 28.4727i | 1.39695 | − | 1.01494i | 0.401888 | − | 0.915689i | \(-0.368354\pi\) |
0.995062 | − | 0.0992543i | \(-0.0316457\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.59969 | + | 17.2341i | −0.199354 | + | 0.613550i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 37.7580 | 1.34252 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 72.0250 | 2.55768 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.72899 | − | 8.39898i | 0.0967874 | − | 0.297881i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −34.0967 | + | 24.7727i | −1.20777 | + | 0.877493i | −0.995026 | − | 0.0996157i | \(-0.968239\pi\) |
−0.212740 | + | 0.977109i | \(0.568239\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.428721 | + | 1.31947i | 0.0151671 | + | 0.0466794i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.68224 | − | 1.22222i | −0.0594390 | − | 0.0431850i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.994558 | − | 1.73848i | 0.0350972 | − | 0.0613496i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.30902 | + | 0.951057i | 0.0461368 | + | 0.0335203i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −7.25986 | − | 22.3435i | −0.255559 | − | 0.786530i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 23.3024 | − | 16.9302i | 0.819268 | − | 0.595233i | −0.0972348 | − | 0.995261i | \(-0.531000\pi\) |
0.916503 | + | 0.400029i | \(0.131000\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.124425 | + | 0.382941i | −0.00436916 | + | 0.0134469i | −0.953217 | − | 0.302286i | \(-0.902250\pi\) |
0.948848 | + | 0.315733i | \(0.102250\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −31.9686 | −1.12119 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.2156 | 0.638063 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.63795 | − | 8.11877i | 0.0922901 | − | 0.284040i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 16.1167 | − | 11.7095i | 0.563164 | − | 0.409163i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.7853 | − | 42.4267i | −0.481109 | − | 1.48070i | −0.837538 | − | 0.546378i | \(-0.816006\pi\) |
0.356430 | − | 0.934322i | \(-0.383994\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.4408 | − | 7.58565i | −0.363942 | − | 0.264419i | 0.390753 | − | 0.920496i | \(-0.372215\pi\) |
−0.754694 | + | 0.656077i | \(0.772215\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.359735 | + | 3.29706i | 0.0125244 | + | 0.114789i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.3258 | + | 9.68174i | 0.463382 | + | 0.336667i | 0.794857 | − | 0.606797i | \(-0.207546\pi\) |
−0.331474 | + | 0.943464i | \(0.607546\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.3633 | − | 47.2833i | −0.533588 | − | 1.64222i | −0.746680 | − | 0.665183i | \(-0.768353\pi\) |
0.213092 | − | 0.977032i | \(-0.431647\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.2004 | + | 14.6765i | −0.700745 | + | 0.509121i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.777419 | + | 2.39265i | −0.0269360 | + | 0.0829004i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.10968 | −0.107615 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.60929 | −0.263016 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −15.9938 | + | 49.2239i | −0.552168 | + | 1.69940i | 0.151139 | + | 0.988513i | \(0.451706\pi\) |
−0.703307 | + | 0.710886i | \(0.748294\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.9359 | − | 15.9374i | 0.756410 | − | 0.549564i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.56510 | − | 4.81687i | −0.0539048 | − | 0.165902i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 23.2233 | + | 16.8727i | 0.798907 | + | 0.580440i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.1340 | + | 7.31748i | −1.13850 | + | 0.251432i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.05408 | − | 4.39855i | −0.207776 | − | 0.150958i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.590808 | + | 1.81832i | 0.0202526 | + | 0.0623312i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.6231 | + | 21.5224i | −1.01428 | + | 0.736915i | −0.965102 | − | 0.261876i | \(-0.915659\pi\) |
−0.0491743 | + | 0.998790i | \(0.515659\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.600175 | + | 1.84715i | −0.0205256 | + | 0.0631712i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −23.9957 | −0.819677 | −0.409839 | − | 0.912158i | \(-0.634415\pi\) | ||||
−0.409839 | + | 0.912158i | \(0.634415\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.6428 | 0.977281 | 0.488641 | − | 0.872485i | \(-0.337493\pi\) | ||||
0.488641 | + | 0.872485i | \(0.337493\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.77893 | − | 11.6304i | 0.128786 | − | 0.396362i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17.7215 | − | 12.8754i | 0.603246 | − | 0.438284i | −0.243784 | − | 0.969830i | \(-0.578389\pi\) |
0.847030 | + | 0.531546i | \(0.178389\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.39030 | − | 13.5120i | −0.149275 | − | 0.459420i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 12.9443 | + | 9.40456i | 0.439611 | + | 0.319396i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.45365 | + | 31.6536i | 0.117157 | + | 1.07377i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −27.6558 | − | 20.0931i | −0.937080 | − | 0.680829i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.07524 | + | 6.38694i | 0.0702363 | + | 0.216165i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.49563 | − | 1.81318i | 0.0843676 | − | 0.0612967i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.1719 | + | 52.8497i | −0.579854 | + | 1.78461i | 0.0391687 | + | 0.999233i | \(0.487529\pi\) |
−0.619022 | + | 0.785373i | \(0.712471\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −14.3303 | −0.483350 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −30.8926 | −1.04080 | −0.520399 | − | 0.853923i | \(-0.674217\pi\) | ||||
−0.520399 | + | 0.853923i | \(0.674217\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.7471 | + | 36.1539i | −0.395322 | + | 1.21668i | 0.533389 | + | 0.845870i | \(0.320918\pi\) |
−0.928711 | + | 0.370805i | \(0.879082\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −5.62715 | + | 4.08836i | −0.189155 | + | 0.137429i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −10.3184 | − | 31.7568i | −0.346458 | − | 1.06629i | −0.960799 | − | 0.277247i | \(-0.910578\pi\) |
0.614340 | − | 0.789041i | \(-0.289422\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.50911 | + | 1.82298i | 0.0841530 | + | 0.0611407i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.64693 | − | 2.87882i | 0.0551742 | − | 0.0964442i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.17995 | + | 1.58382i | 0.0729491 | + | 0.0530006i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.83084 | + | 21.0232i | 0.228330 | + | 0.702727i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.74044 | − | 1.99105i | 0.0915006 | − | 0.0664791i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −3.22899 | + | 9.93782i | −0.107693 | + | 0.331445i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 8.83121 | 0.294210 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.5585 | 0.451197 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −6.01887 | + | 18.5242i | −0.200074 | + | 0.615764i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 46.1629 | − | 33.5393i | 1.53281 | − | 1.11365i | 0.578165 | − | 0.815920i | \(-0.303769\pi\) |
0.954649 | − | 0.297734i | \(-0.0962310\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −4.84678 | − | 14.9168i | −0.160757 | − | 0.494760i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.1088 | − | 21.8753i | −0.997550 | − | 0.724763i | −0.0359886 | − | 0.999352i | \(-0.511458\pi\) |
−0.961562 | + | 0.274590i | \(0.911458\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −25.2567 | − | 5.26407i | −0.835874 | − | 0.174215i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −9.02285 | − | 6.55549i | −0.298286 | − | 0.216718i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −10.7856 | − | 33.1947i | −0.356172 | − | 1.09618i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.83300 | − | 4.96446i | 0.225400 | − | 0.163763i | −0.469354 | − | 0.883010i | \(-0.655513\pi\) |
0.694754 | + | 0.719247i | \(0.255513\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.60311 | + | 4.93385i | −0.0528241 | + | 0.162576i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −84.7964 | −2.79111 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.64501 | 0.119847 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.57476 | + | 14.0797i | −0.150255 | + | 0.462437i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −5.25107 | + | 3.81512i | −0.172282 | + | 0.125170i | −0.670585 | − | 0.741833i | \(-0.733957\pi\) |
0.498303 | + | 0.867003i | \(0.333957\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.50991 | + | 4.64702i | 0.0494853 | + | 0.152300i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 23.3645 | + | 16.9753i | 0.764919 | + | 0.555747i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.02452 | + | 1.36098i | −0.0989125 | + | 0.0445087i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.3448 | + | 25.6795i | 1.15466 | + | 0.838912i | 0.989094 | − | 0.147286i | \(-0.0470539\pi\) |
0.165569 | + | 0.986198i | \(0.447054\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.59507 | − | 29.5306i | −0.313123 | − | 0.963694i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 45.4312 | − | 33.0077i | 1.48101 | − | 1.07602i | 0.503786 | − | 0.863829i | \(-0.331940\pi\) |
0.977228 | − | 0.212191i | \(-0.0680600\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.642558 | − | 1.97759i | 0.0209246 | − | 0.0643992i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.08477 | −0.100347 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.73124 | 0.218736 | 0.109368 | − | 0.994001i | \(-0.465117\pi\) | ||||
0.109368 | + | 0.994001i | \(0.465117\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.20513 | + | 3.70901i | −0.0391202 | + | 0.120400i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.37322 | − | 0.997704i | 0.0445298 | − | 0.0323528i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −12.6617 | − | 38.9687i | −0.410153 | − | 1.26232i | −0.916515 | − | 0.400000i | \(-0.869010\pi\) |
0.506363 | − | 0.862321i | \(-0.330990\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.4579 | − | 11.2309i | −0.500207 | − | 0.363422i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.06090 | − | 3.37254i | −0.0989449 | − | 0.109019i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 12.1421 | + | 8.82179i | 0.392090 | + | 0.284870i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.31296 | + | 25.5846i | 0.268160 | + | 0.825311i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −4.18931 | + | 3.04371i | −0.134999 | + | 0.0980823i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.76211 | + | 5.42320i | −0.0567242 | + | 0.174579i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.1348 | 0.518859 | 0.259430 | − | 0.965762i | \(-0.416465\pi\) | ||||
0.259430 | + | 0.965762i | \(0.416465\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.94221 | −0.0623927 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.99001 | + | 6.12462i | −0.0638624 | + | 0.196548i | −0.977897 | − | 0.209089i | \(-0.932950\pi\) |
0.914034 | + | 0.405637i | \(0.132950\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.4935 | − | 11.2567i | 0.496700 | − | 0.360874i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.99563 | − | 6.14191i | −0.0639112 | − | 0.196699i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −30.2230 | − | 21.9583i | −0.966919 | − | 0.702508i | −0.0121718 | − | 0.999926i | \(-0.503875\pi\) |
−0.954747 | + | 0.297418i | \(0.903875\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4.63488 | − | 5.10676i | −0.148132 | − | 0.163213i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.28012 | − | 3.10969i | −0.136654 | − | 0.0992848i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.1492 | − | 34.3138i | −0.355606 | − | 1.09444i | −0.955657 | − | 0.294481i | \(-0.904853\pi\) |
0.600052 | − | 0.799961i | \(-0.295147\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.0280 | + | 9.46540i | −0.415107 | + | 0.301593i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.32250 | + | 4.07025i | −0.0420958 | + | 0.129557i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.30544 | 0.0733087 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.3647 | −0.837501 | −0.418751 | − | 0.908101i | \(-0.637532\pi\) | ||||
−0.418751 | + | 0.908101i | \(0.637532\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −7.20754 | + | 22.1825i | −0.228724 | + | 0.703941i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −9.16786 | + | 6.66084i | −0.290641 | + | 0.211163i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.5445 | − | 44.7634i | −0.460629 | − | 1.41767i | −0.864397 | − | 0.502809i | \(-0.832300\pi\) |
0.403768 | − | 0.914861i | \(-0.367700\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.94887 | − | 2.14248i | −0.0932982 | − | 0.0677851i |
(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 | 1320.2.bw.c.961.2 | ✓ | 8 | |
11.3 | even | 5 | inner | 1320.2.bw.c.1081.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1320.2.bw.c.961.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
1320.2.bw.c.1081.2 | yes | 8 | 11.3 | even | 5 | inner |