Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(611,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.611");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bb (of order \(6\), degree \(2\), not 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 611.18 | ||
Character | \(\chi\) | \(=\) | 756.611 |
Dual form | 756.2.bb.a.683.18 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.301845 | + | 1.38163i | −0.213436 | + | 0.976957i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.81778 | − | 0.834072i | −0.908890 | − | 0.417036i | ||||
\(5\) | −0.434289 | + | 0.250737i | −0.194220 | + | 0.112133i | −0.593957 | − | 0.804497i | \(-0.702435\pi\) |
0.399737 | + | 0.916630i | \(0.369102\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.412779 | − | 2.61335i | 0.156016 | − | 0.987755i | ||||
\(8\) | 1.70106 | − | 2.25973i | 0.601417 | − | 0.798936i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.215337 | − | 0.675709i | −0.0680955 | − | 0.213678i | ||||
\(11\) | −0.848493 | + | 1.46963i | −0.255830 | + | 0.443111i | −0.965121 | − | 0.261805i | \(-0.915682\pi\) |
0.709290 | + | 0.704916i | \(0.249016\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.89819 | + | 3.28776i | −0.526463 | + | 0.911861i | 0.473061 | + | 0.881030i | \(0.343149\pi\) |
−0.999525 | + | 0.0308317i | \(0.990184\pi\) | |||||||
\(14\) | 3.48608 | + | 1.35913i | 0.931694 | + | 0.363243i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.60865 | + | 3.03232i | 0.652162 | + | 0.758080i | ||||
\(17\) | −4.12962 | + | 2.38424i | −1.00158 | + | 0.578263i | −0.908716 | − | 0.417416i | \(-0.862936\pi\) |
−0.0928651 | + | 0.995679i | \(0.529603\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0919457 | − | 0.0530849i | −0.0210938 | − | 0.0121785i | 0.489416 | − | 0.872050i | \(-0.337210\pi\) |
−0.510510 | + | 0.859872i | \(0.670543\pi\) | |||||||
\(20\) | 0.998575 | − | 0.0935560i | 0.223288 | − | 0.0209198i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.77437 | − | 1.61590i | −0.378297 | − | 0.344511i | ||||
\(23\) | 3.77997 | + | 6.54710i | 0.788178 | + | 1.36516i | 0.927082 | + | 0.374859i | \(0.122309\pi\) |
−0.138904 | + | 0.990306i | \(0.544358\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.37426 | + | 4.11234i | −0.474852 | + | 0.822468i | ||||
\(26\) | −3.96950 | − | 3.61498i | −0.778483 | − | 0.708956i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.93007 | + | 4.40621i | −0.553731 | + | 0.832696i | ||||
\(29\) | −6.33235 | + | 3.65598i | −1.17589 | + | 0.678899i | −0.955060 | − | 0.296413i | \(-0.904209\pi\) |
−0.220828 | + | 0.975313i | \(0.570876\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.05307i | 0.727952i | 0.931408 | + | 0.363976i | \(0.118581\pi\) | ||||
−0.931408 | + | 0.363976i | \(0.881419\pi\) | |||||||
\(32\) | −4.97694 | + | 2.68888i | −0.879807 | + | 0.475332i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.04762 | − | 6.42526i | −0.351164 | − | 1.10192i | ||||
\(35\) | 0.475999 | + | 1.23845i | 0.0804585 | + | 0.209336i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.83900 | − | 6.64935i | 0.631128 | − | 1.09315i | −0.356193 | − | 0.934412i | \(-0.615926\pi\) |
0.987321 | − | 0.158734i | \(-0.0507411\pi\) | |||||||
\(38\) | 0.101097 | − | 0.111011i | 0.0164001 | − | 0.0180084i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.172155 | + | 1.40790i | −0.0272201 | + | 0.222608i | ||||
\(41\) | 2.60966 | + | 1.50669i | 0.407560 | + | 0.235305i | 0.689741 | − | 0.724056i | \(-0.257724\pi\) |
−0.282181 | + | 0.959361i | \(0.591058\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.98023 | − | 2.29799i | 0.606980 | − | 0.350440i | −0.164803 | − | 0.986327i | \(-0.552699\pi\) |
0.771783 | + | 0.635887i | \(0.219365\pi\) | |||||||
\(44\) | 2.76815 | − | 1.96377i | 0.417315 | − | 0.296049i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −10.1866 | + | 3.24630i | −1.50193 | + | 0.478641i | ||||
\(47\) | −4.07341 | −0.594168 | −0.297084 | − | 0.954851i | \(-0.596014\pi\) | ||||
−0.297084 | + | 0.954851i | \(0.596014\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.65923 | − | 2.15747i | −0.951318 | − | 0.308211i | ||||
\(50\) | −4.96506 | − | 4.52163i | −0.702166 | − | 0.639455i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.19272 | − | 4.39320i | 0.858776 | − | 0.609227i | ||||
\(53\) | −8.79953 | + | 5.08041i | −1.20871 | + | 0.697848i | −0.962477 | − | 0.271363i | \(-0.912526\pi\) |
−0.246231 | + | 0.969211i | \(0.579192\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.850995i | − | 0.114748i | ||||||
\(56\) | −5.20331 | − | 5.37825i | −0.695322 | − | 0.718699i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.13982 | − | 9.85248i | −0.412278 | − | 1.29369i | ||||
\(59\) | −3.35792 | −0.437164 | −0.218582 | − | 0.975819i | \(-0.570143\pi\) | ||||
−0.218582 | + | 0.975819i | \(0.570143\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.83880 | −0.235435 | −0.117717 | − | 0.993047i | \(-0.537558\pi\) | ||||
−0.117717 | + | 0.993047i | \(0.537558\pi\) | |||||||
\(62\) | −5.59982 | − | 1.22340i | −0.711178 | − | 0.155371i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.21277 | − | 7.68789i | −0.276596 | − | 0.960986i | ||||
\(65\) | − | 1.90379i | − | 0.236136i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 3.90768i | − | 0.477399i | −0.971093 | − | 0.238699i | \(-0.923279\pi\) | ||
0.971093 | − | 0.238699i | \(-0.0767211\pi\) | |||||||
\(68\) | 9.49537 | − | 0.889617i | 1.15148 | − | 0.107882i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.85475 | + | 0.283833i | −0.221685 | + | 0.0339245i | ||||
\(71\) | 9.65339 | 1.14565 | 0.572823 | − | 0.819679i | \(-0.305848\pi\) | ||||
0.572823 | + | 0.819679i | \(0.305848\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.55175 | + | 9.61592i | 0.649784 | + | 1.12546i | 0.983174 | + | 0.182670i | \(0.0584738\pi\) |
−0.333391 | + | 0.942789i | \(0.608193\pi\) | |||||||
\(74\) | 8.02813 | + | 7.31113i | 0.933251 | + | 0.849902i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.122860 | + | 0.173186i | 0.0140931 | + | 0.0198658i | ||||
\(77\) | 3.49043 | + | 2.82405i | 0.397771 | + | 0.321830i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.70354i | 0.529189i | 0.964360 | + | 0.264595i | \(0.0852382\pi\) | ||||
−0.964360 | + | 0.264595i | \(0.914762\pi\) | |||||||
\(80\) | −1.89322 | − | 0.662820i | −0.211669 | − | 0.0741055i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.86939 | + | 3.15079i | −0.316871 | + | 0.347946i | ||||
\(83\) | −6.75864 | − | 11.7063i | −0.741858 | − | 1.28494i | −0.951649 | − | 0.307189i | \(-0.900612\pi\) |
0.209791 | − | 0.977746i | \(-0.432722\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.19563 | − | 2.07090i | 0.129685 | − | 0.224621i | ||||
\(86\) | 1.97355 | + | 6.19283i | 0.212813 | + | 0.667790i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.87764 | + | 4.41731i | 0.200157 | + | 0.470886i | ||||
\(89\) | 4.73824 | + | 2.73562i | 0.502252 | + | 0.289975i | 0.729643 | − | 0.683828i | \(-0.239686\pi\) |
−0.227391 | + | 0.973804i | \(0.573020\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.80855 | + | 6.31776i | 0.818558 | + | 0.662281i | ||||
\(92\) | −1.41040 | − | 15.0540i | −0.147044 | − | 1.56948i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.22954 | − | 5.62793i | 0.126817 | − | 0.580476i | ||||
\(95\) | 0.0532414 | 0.00546245 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.45605 | + | 11.1822i | 0.655512 | + | 1.13538i | 0.981765 | + | 0.190098i | \(0.0608806\pi\) |
−0.326253 | + | 0.945283i | \(0.605786\pi\) | |||||||
\(98\) | 4.99087 | − | 8.54934i | 0.504154 | − | 0.863614i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.74588 | − | 5.49503i | 0.774588 | − | 0.549503i | ||||
\(101\) | −9.07402 | − | 5.23889i | −0.902899 | − | 0.521289i | −0.0247592 | − | 0.999693i | \(-0.507882\pi\) |
−0.878140 | + | 0.478405i | \(0.841215\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.4667 | + | 9.50707i | −1.62251 | + | 0.936759i | −0.636270 | + | 0.771467i | \(0.719524\pi\) |
−0.986245 | + | 0.165293i | \(0.947143\pi\) | |||||||
\(104\) | 4.20052 | + | 9.88209i | 0.411895 | + | 0.969019i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.36314 | − | 13.6911i | −0.423785 | − | 1.32980i | ||||
\(107\) | 5.50504 | − | 9.53502i | 0.532193 | − | 0.921785i | −0.467101 | − | 0.884204i | \(-0.654702\pi\) |
0.999294 | − | 0.0375808i | \(-0.0119652\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.16757 | + | 3.75434i | 0.207615 | + | 0.359600i | 0.950963 | − | 0.309305i | \(-0.100096\pi\) |
−0.743348 | + | 0.668905i | \(0.766763\pi\) | |||||||
\(110\) | 1.17576 | + | 0.256868i | 0.112104 | + | 0.0244914i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.00132 | − | 5.56564i | 0.850544 | − | 0.525903i | ||||
\(113\) | −2.92804 | − | 1.69051i | −0.275447 | − | 0.159029i | 0.355913 | − | 0.934519i | \(-0.384170\pi\) |
−0.631360 | + | 0.775490i | \(0.717503\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.28320 | − | 1.89556i | −0.306160 | − | 0.176762i | ||||
\(116\) | 14.5602 | − | 1.36414i | 1.35188 | − | 0.126657i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.01357 | − | 4.63939i | 0.0933067 | − | 0.427091i | ||||
\(119\) | 4.52624 | + | 11.7763i | 0.414919 | + | 1.07953i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.06012 | + | 7.03233i | 0.369102 | + | 0.639303i | ||||
\(122\) | 0.555033 | − | 2.54054i | 0.0502503 | − | 0.230010i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.38055 | − | 7.36758i | 0.303582 | − | 0.661628i | ||||
\(125\) | − | 4.88863i | − | 0.437253i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 8.51215i | − | 0.755332i | −0.925942 | − | 0.377666i | \(-0.876727\pi\) | ||
0.925942 | − | 0.377666i | \(-0.123273\pi\) | |||||||
\(128\) | 11.2897 | − | 0.736673i | 0.997878 | − | 0.0651133i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.63032 | + | 0.574648i | 0.230694 | + | 0.0503999i | ||||
\(131\) | −4.21018 | − | 7.29224i | −0.367845 | − | 0.637126i | 0.621383 | − | 0.783507i | \(-0.286571\pi\) |
−0.989228 | + | 0.146380i | \(0.953238\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.176683 | + | 0.218374i | −0.0153203 | + | 0.0189354i | ||||
\(134\) | 5.39895 | + | 1.17951i | 0.466398 | + | 0.101894i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.63701 | + | 13.3876i | −0.140372 | + | 1.14798i | ||||
\(137\) | 3.68374 | + | 2.12681i | 0.314723 | + | 0.181706i | 0.649038 | − | 0.760756i | \(-0.275172\pi\) |
−0.334315 | + | 0.942461i | \(0.608505\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.535435 | − | 0.309134i | −0.0454150 | − | 0.0262204i | 0.477121 | − | 0.878838i | \(-0.341680\pi\) |
−0.522536 | + | 0.852617i | \(0.675014\pi\) | |||||||
\(140\) | 0.167696 | − | 2.64825i | 0.0141729 | − | 0.223818i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.91382 | + | 13.3374i | −0.244523 | + | 1.11925i | ||||
\(143\) | −3.22120 | − | 5.57929i | −0.269371 | − | 0.466564i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.83338 | − | 3.17551i | 0.152254 | − | 0.263712i | ||||
\(146\) | −14.9614 | + | 4.76793i | −1.23821 | + | 0.394597i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.5245 | + | 8.88504i | −1.02951 | + | 0.730346i | ||||
\(149\) | 5.20674 | − | 3.00611i | 0.426553 | − | 0.246270i | −0.271324 | − | 0.962488i | \(-0.587462\pi\) |
0.697877 | + | 0.716218i | \(0.254128\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.1862 | − | 11.0771i | −1.56135 | − | 0.901444i | −0.997121 | − | 0.0758241i | \(-0.975841\pi\) |
−0.564226 | − | 0.825620i | \(-0.690825\pi\) | |||||||
\(152\) | −0.276363 | + | 0.117472i | −0.0224160 | + | 0.00952822i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.95534 | + | 3.97005i | −0.399313 | + | 0.319915i | ||||
\(155\) | −1.01625 | − | 1.76020i | −0.0816275 | − | 0.141383i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.89816 | 0.311107 | 0.155553 | − | 0.987827i | \(-0.450284\pi\) | ||||
0.155553 | + | 0.987827i | \(0.450284\pi\) | |||||||
\(158\) | −6.49853 | − | 1.41974i | −0.516995 | − | 0.112948i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.48723 | − | 2.41566i | 0.117576 | − | 0.190974i | ||||
\(161\) | 18.6702 | − | 7.17589i | 1.47142 | − | 0.565539i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.9101 | + | 9.76307i | 1.32450 | + | 0.764703i | 0.984444 | − | 0.175701i | \(-0.0562192\pi\) |
0.340060 | + | 0.940404i | \(0.389553\pi\) | |||||||
\(164\) | −3.48710 | − | 4.91547i | −0.272297 | − | 0.383834i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.2138 | − | 5.80443i | 1.41367 | − | 0.450511i | ||||
\(167\) | 2.20243 | − | 3.81473i | 0.170430 | − | 0.295193i | −0.768141 | − | 0.640281i | \(-0.778818\pi\) |
0.938570 | + | 0.345089i | \(0.112151\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.706255 | − | 1.22327i | −0.0543273 | − | 0.0940976i | ||||
\(170\) | 2.50031 | + | 2.27701i | 0.191765 | + | 0.174639i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −9.15188 | + | 0.857435i | −0.697824 | + | 0.0653788i | ||||
\(173\) | 17.9628i | 1.36569i | 0.730564 | + | 0.682844i | \(0.239257\pi\) | ||||
−0.730564 | + | 0.682844i | \(0.760743\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.76696 | + | 7.90227i | 0.738312 | + | 0.597356i | ||||
\(176\) | −6.66982 | + | 1.26085i | −0.502756 | + | 0.0950402i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.20982 | + | 5.72074i | −0.390492 | + | 0.428787i | ||||
\(179\) | 4.24475 | + | 7.35212i | 0.317267 | + | 0.549523i | 0.979917 | − | 0.199406i | \(-0.0639014\pi\) |
−0.662649 | + | 0.748930i | \(0.730568\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −24.6598 | −1.83295 | −0.916476 | − | 0.400090i | \(-0.868979\pi\) | ||||
−0.916476 | + | 0.400090i | \(0.868979\pi\) | |||||||
\(182\) | −11.0858 | + | 8.88151i | −0.821730 | + | 0.658342i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 21.2247 | + | 2.59531i | 1.56470 | + | 0.191329i | ||||
\(185\) | 3.85032i | 0.283081i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 8.09204i | − | 0.591749i | ||||||
\(188\) | 7.40456 | + | 3.39752i | 0.540033 | + | 0.247789i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.0160706 | + | 0.0735596i | −0.00116589 | + | 0.00533658i | ||||
\(191\) | 5.92072 | 0.428408 | 0.214204 | − | 0.976789i | \(-0.431284\pi\) | ||||
0.214204 | + | 0.976789i | \(0.431284\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 16.4871 | 1.18676 | 0.593382 | − | 0.804921i | \(-0.297792\pi\) | ||||
0.593382 | + | 0.804921i | \(0.297792\pi\) | |||||||
\(194\) | −17.3983 | + | 5.54456i | −1.24913 | + | 0.398076i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.3055 | + | 9.47609i | 0.736108 | + | 0.676864i | ||||
\(197\) | 4.24471i | 0.302423i | 0.988501 | + | 0.151212i | \(0.0483175\pi\) | ||||
−0.988501 | + | 0.151212i | \(0.951683\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.9984 | − | 10.9688i | 1.34676 | − | 0.777555i | 0.358974 | − | 0.933347i | \(-0.383127\pi\) |
0.987790 | + | 0.155793i | \(0.0497932\pi\) | |||||||
\(200\) | 5.25402 | + | 12.3605i | 0.371515 | + | 0.874023i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.97713 | − | 10.9556i | 0.701988 | − | 0.770831i | ||||
\(203\) | 6.94052 | + | 18.0578i | 0.487129 | + | 1.26741i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.51113 | −0.105542 | ||||||||
\(206\) | −8.16482 | − | 25.6205i | −0.568870 | − | 1.78507i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.9213 | + | 2.82069i | −1.03460 | + | 0.195580i | ||||
\(209\) | 0.156031 | − | 0.0900843i | 0.0107929 | − | 0.00623126i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.25342 | + | 4.76511i | 0.568189 | + | 0.328044i | 0.756426 | − | 0.654080i | \(-0.226944\pi\) |
−0.188237 | + | 0.982124i | \(0.560277\pi\) | |||||||
\(212\) | 20.2330 | − | 1.89562i | 1.38961 | − | 0.130192i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.5122 | + | 10.4840i | 0.786955 | + | 0.716672i | ||||
\(215\) | −1.15238 | + | 1.99598i | −0.0785918 | + | 0.136125i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.5921 | + | 1.67302i | 0.719038 | + | 0.113572i | ||||
\(218\) | −5.84136 | + | 1.86154i | −0.395627 | + | 0.126079i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.709791 | + | 1.54692i | −0.0478541 | + | 0.104293i | ||||
\(221\) | − | 18.1030i | − | 1.21774i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.02007 | − | 5.20774i | 0.604029 | − | 0.348736i | −0.166596 | − | 0.986025i | \(-0.553278\pi\) |
0.770625 | + | 0.637289i | \(0.219944\pi\) | |||||||
\(224\) | 4.97263 | + | 14.1164i | 0.332248 | + | 0.943192i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.21946 | − | 3.53519i | 0.214155 | − | 0.235157i | ||||
\(227\) | −2.89895 | + | 5.02113i | −0.192410 | + | 0.333264i | −0.946048 | − | 0.324025i | \(-0.894964\pi\) |
0.753638 | + | 0.657289i | \(0.228297\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.46681 | + | 4.27263i | 0.163011 | + | 0.282344i | 0.935947 | − | 0.352140i | \(-0.114546\pi\) |
−0.772936 | + | 0.634484i | \(0.781213\pi\) | |||||||
\(230\) | 3.60997 | − | 3.96399i | 0.238034 | − | 0.261378i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.51019 | + | 20.5285i | −0.164802 | + | 1.34776i | ||||
\(233\) | −9.83606 | − | 5.67885i | −0.644382 | − | 0.372034i | 0.141919 | − | 0.989878i | \(-0.454673\pi\) |
−0.786300 | + | 0.617844i | \(0.788006\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.76904 | − | 1.02135i | 0.115399 | − | 0.0666258i | ||||
\(236\) | 6.10396 | + | 2.80075i | 0.397334 | + | 0.182313i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −17.6367 | + | 2.69894i | −1.14322 | + | 0.174947i | ||||
\(239\) | −7.21752 | + | 12.5011i | −0.466862 | + | 0.808629i | −0.999283 | − | 0.0378504i | \(-0.987949\pi\) |
0.532421 | + | 0.846480i | \(0.321282\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.04044 | − | 12.1944i | 0.453515 | − | 0.785511i | −0.545087 | − | 0.838380i | \(-0.683503\pi\) |
0.998601 | + | 0.0528690i | \(0.0168366\pi\) | |||||||
\(242\) | −10.9416 | + | 3.48689i | −0.703351 | + | 0.224146i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.34254 | + | 1.53370i | 0.213984 | + | 0.0981848i | ||||
\(245\) | 3.43299 | − | 0.732747i | 0.219326 | − | 0.0468135i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.349061 | − | 0.201530i | 0.0222102 | − | 0.0128231i | ||||
\(248\) | 9.15884 | + | 6.89452i | 0.581587 | + | 0.437803i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.75426 | + | 1.47561i | 0.427177 | + | 0.0933256i | ||||
\(251\) | −25.2044 | −1.59089 | −0.795445 | − | 0.606026i | \(-0.792763\pi\) | ||||
−0.795445 | + | 0.606026i | \(0.792763\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.8291 | −0.806560 | ||||||||
\(254\) | 11.7606 | + | 2.56935i | 0.737926 | + | 0.161215i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.38993 | + | 15.8205i | −0.149371 | + | 0.988781i | ||||
\(257\) | −6.16791 | + | 3.56105i | −0.384744 | + | 0.222132i | −0.679880 | − | 0.733323i | \(-0.737968\pi\) |
0.295136 | + | 0.955455i | \(0.404635\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.7924 | − | 12.7774i | −0.981294 | − | 0.793948i | ||||
\(260\) | −1.58790 | + | 3.46066i | −0.0984771 | + | 0.214621i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.3460 | − | 3.61577i | 0.700957 | − | 0.223383i | ||||
\(263\) | 13.6958 | − | 23.7218i | 0.844520 | − | 1.46275i | −0.0415174 | − | 0.999138i | \(-0.513219\pi\) |
0.886037 | − | 0.463614i | \(-0.153447\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.54769 | − | 4.41273i | 0.156504 | − | 0.271072i | ||||
\(266\) | −0.248381 | − | 0.310025i | −0.0152292 | − | 0.0190088i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.25929 | + | 7.10330i | −0.199093 | + | 0.433903i | ||||
\(269\) | 4.90694 | − | 2.83302i | 0.299181 | − | 0.172732i | −0.342894 | − | 0.939374i | \(-0.611407\pi\) |
0.642075 | + | 0.766642i | \(0.278074\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0632 | − | 8.11940i | −0.854279 | − | 0.493218i | 0.00781341 | − | 0.999969i | \(-0.497513\pi\) |
−0.862092 | + | 0.506751i | \(0.830846\pi\) | |||||||
\(272\) | −18.0025 | − | 6.30270i | −1.09156 | − | 0.382157i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.05037 | + | 4.44759i | −0.244692 | + | 0.268689i | ||||
\(275\) | −4.02909 | − | 6.97859i | −0.242963 | − | 0.420825i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.38817 | − | 2.40438i | 0.0834071 | − | 0.144465i | −0.821304 | − | 0.570490i | \(-0.806753\pi\) |
0.904711 | + | 0.426025i | \(0.140086\pi\) | |||||||
\(278\) | 0.588725 | − | 0.646461i | 0.0353094 | − | 0.0387721i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.60827 | + | 1.03105i | 0.215635 | + | 0.0616172i | ||||
\(281\) | 25.4336 | − | 14.6841i | 1.51724 | − | 0.875981i | 0.517448 | − | 0.855714i | \(-0.326882\pi\) |
0.999795 | − | 0.0202663i | \(-0.00645142\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 30.6584i | 1.82245i | 0.411904 | + | 0.911227i | \(0.364864\pi\) | ||||
−0.411904 | + | 0.911227i | \(0.635136\pi\) | |||||||
\(284\) | −17.5477 | − | 8.05162i | −1.04127 | − | 0.477776i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.68079 | − | 2.76642i | 0.513306 | − | 0.163582i | ||||
\(287\) | 5.01472 | − | 6.19803i | 0.296010 | − | 0.365858i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.86919 | − | 4.96958i | 0.168776 | − | 0.292328i | ||||
\(290\) | 3.83397 | + | 3.49156i | 0.225138 | + | 0.205031i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.07149 | − | 22.1102i | −0.121225 | − | 1.29390i | ||||
\(293\) | 1.86213 | + | 1.07510i | 0.108787 | + | 0.0628079i | 0.553406 | − | 0.832912i | \(-0.313328\pi\) |
−0.444620 | + | 0.895720i | \(0.646661\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.45831 | − | 0.841955i | 0.0849060 | − | 0.0490205i | ||||
\(296\) | −8.49535 | − | 19.9861i | −0.493782 | − | 1.16167i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.58170 | + | 8.10114i | 0.149554 | + | 0.469287i | ||||
\(299\) | −28.7004 | −1.65979 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.36250 | − | 11.3503i | −0.251450 | − | 0.654221i | ||||
\(302\) | 21.0957 | − | 23.1645i | 1.21392 | − | 1.33297i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0788835 | − | 0.417288i | −0.00452428 | − | 0.0239331i | ||||
\(305\) | 0.798573 | − | 0.461056i | 0.0457262 | − | 0.0264000i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 19.1505i | − | 1.09298i | −0.837467 | − | 0.546488i | \(-0.815964\pi\) | ||
0.837467 | − | 0.546488i | \(-0.184036\pi\) | |||||||
\(308\) | −3.98937 | − | 8.04477i | −0.227316 | − | 0.458393i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.73869 | − | 0.872775i | 0.155547 | − | 0.0495703i | ||||
\(311\) | −5.69121 | −0.322719 | −0.161360 | − | 0.986896i | \(-0.551588\pi\) | ||||
−0.161360 | + | 0.986896i | \(0.551588\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −24.6144 | −1.39129 | −0.695645 | − | 0.718386i | \(-0.744881\pi\) | ||||
−0.695645 | + | 0.718386i | \(0.744881\pi\) | |||||||
\(314\) | −1.17664 | + | 5.38580i | −0.0664015 | + | 0.303938i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.92309 | − | 8.55000i | 0.220691 | − | 0.480975i | ||||
\(317\) | − | 11.8774i | − | 0.667102i | −0.942732 | − | 0.333551i | \(-0.891753\pi\) | ||
0.942732 | − | 0.333551i | \(-0.108247\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 12.4083i | − | 0.694732i | ||||||
\(320\) | 2.88862 | + | 2.78394i | 0.161479 | + | 0.155627i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.27890 | + | 27.9612i | 0.238454 | + | 1.55822i | ||||
\(323\) | 0.506268 | 0.0281695 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.01360 | − | 15.6120i | −0.499985 | − | 0.865999i | ||||
\(326\) | −18.5931 | + | 20.4165i | −1.02978 | + | 1.13077i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.84390 | − | 3.33416i | 0.433107 | − | 0.184098i | ||||
\(329\) | −1.68142 | + | 10.6453i | −0.0926996 | + | 0.586892i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.9548i | 0.876956i | 0.898742 | + | 0.438478i | \(0.144482\pi\) | ||||
−0.898742 | + | 0.438478i | \(0.855518\pi\) | |||||||
\(332\) | 2.52181 | + | 26.9167i | 0.138402 | + | 1.47725i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.60573 | + | 4.19440i | 0.252015 | + | 0.229507i | ||||
\(335\) | 0.979800 | + | 1.69706i | 0.0535322 | + | 0.0927204i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.26967 | − | 10.8594i | 0.341531 | − | 0.591549i | −0.643186 | − | 0.765710i | \(-0.722388\pi\) |
0.984717 | + | 0.174161i | \(0.0557213\pi\) | |||||||
\(338\) | 1.90328 | − | 0.606543i | 0.103525 | − | 0.0329916i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.90068 | + | 2.76719i | −0.211544 | + | 0.150072i | ||||
\(341\) | −5.95652 | − | 3.43900i | −0.322564 | − | 0.186232i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.38703 | + | 16.5123i | −0.452857 | + | 0.891583i | ||||
\(344\) | 1.57779 | − | 12.9033i | 0.0850688 | − | 0.695698i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −24.8179 | − | 5.42198i | −1.33422 | − | 0.291487i | ||||
\(347\) | 23.2769 | 1.24957 | 0.624784 | − | 0.780798i | \(-0.285187\pi\) | ||||
0.624784 | + | 0.780798i | \(0.285187\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.9434 | − | 20.6866i | −0.639317 | − | 1.10733i | −0.985583 | − | 0.169193i | \(-0.945884\pi\) |
0.346266 | − | 0.938136i | \(-0.387449\pi\) | |||||||
\(350\) | −13.8661 | + | 11.1090i | −0.741174 | + | 0.593802i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.271224 | − | 9.59577i | 0.0144563 | − | 0.511456i | ||||
\(353\) | 26.4000 | + | 15.2421i | 1.40513 | + | 0.811253i | 0.994913 | − | 0.100734i | \(-0.0321191\pi\) |
0.410219 | + | 0.911987i | \(0.365452\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.19236 | + | 2.42046i | −0.222507 | + | 0.128465i | ||||
\(356\) | −6.33136 | − | 8.92479i | −0.335561 | − | 0.473013i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.4391 | + | 3.64546i | −0.604577 | + | 0.192668i | ||||
\(359\) | −8.47002 | + | 14.6705i | −0.447031 | + | 0.774280i | −0.998191 | − | 0.0601193i | \(-0.980852\pi\) |
0.551160 | + | 0.834399i | \(0.314185\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.49436 | − | 16.4447i | −0.499703 | − | 0.865512i | ||||
\(362\) | 7.44344 | − | 34.0707i | 0.391219 | − | 1.79072i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.92475 | − | 17.9972i | −0.467784 | − | 0.943309i | ||||
\(365\) | −4.82213 | − | 2.78406i | −0.252402 | − | 0.145724i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.2763 | − | 7.08772i | −0.640818 | − | 0.369976i | 0.144112 | − | 0.989561i | \(-0.453967\pi\) |
−0.784929 | + | 0.619585i | \(0.787301\pi\) | |||||||
\(368\) | −9.99230 | + | 28.5411i | −0.520885 | + | 1.48781i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.31970 | − | 1.16220i | −0.276558 | − | 0.0604198i | ||||
\(371\) | 9.64464 | + | 25.0934i | 0.500725 | + | 1.30278i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.35731 | + | 2.35093i | 0.0702790 | + | 0.121727i | 0.899024 | − | 0.437900i | \(-0.144278\pi\) |
−0.828745 | + | 0.559627i | \(0.810944\pi\) | |||||||
\(374\) | 11.1802 | + | 2.44254i | 0.578113 | + | 0.126301i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.92912 | + | 9.20481i | −0.357342 | + | 0.474702i | ||||
\(377\) | − | 27.7590i | − | 1.42966i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.5807i | 0.748961i | 0.927235 | + | 0.374480i | \(0.122179\pi\) | ||||
−0.927235 | + | 0.374480i | \(0.877821\pi\) | |||||||
\(380\) | −0.0967811 | − | 0.0444072i | −0.00496476 | − | 0.00227804i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.78714 | + | 8.18021i | −0.0914378 | + | 0.418536i | ||||
\(383\) | −11.1110 | − | 19.2449i | −0.567747 | − | 0.983367i | −0.996788 | − | 0.0800822i | \(-0.974482\pi\) |
0.429041 | − | 0.903285i | \(-0.358852\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.22395 | − | 0.351273i | −0.113343 | − | 0.0179025i | ||||
\(386\) | −4.97653 | + | 22.7789i | −0.253299 | + | 1.15942i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.40891 | − | 25.7116i | −0.122294 | − | 1.30531i | ||||
\(389\) | −7.02972 | − | 4.05861i | −0.356421 | − | 0.205780i | 0.311089 | − | 0.950381i | \(-0.399306\pi\) |
−0.667510 | + | 0.744601i | \(0.732640\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −31.2197 | − | 18.0247i | −1.57885 | − | 0.911549i | ||||
\(392\) | −16.2031 | + | 11.3781i | −0.818379 | + | 0.574679i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.86460 | − | 1.28124i | −0.295454 | − | 0.0645481i | ||||
\(395\) | −1.17935 | − | 2.04270i | −0.0593396 | − | 0.102779i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.63142 | − | 14.9501i | 0.433199 | − | 0.750322i | −0.563948 | − | 0.825810i | \(-0.690718\pi\) |
0.997147 | + | 0.0754882i | \(0.0240515\pi\) | |||||||
\(398\) | 9.42014 | + | 29.5596i | 0.472189 | + | 1.48169i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −18.6635 | + | 3.52812i | −0.933177 | + | 0.176406i | ||||
\(401\) | −0.786900 | + | 0.454317i | −0.0392959 | + | 0.0226875i | −0.519519 | − | 0.854459i | \(-0.673889\pi\) |
0.480223 | + | 0.877146i | \(0.340556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.3255 | − | 7.69349i | −0.663791 | − | 0.383240i | ||||
\(404\) | 12.1250 | + | 17.0915i | 0.603239 | + | 0.850336i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −27.0441 | + | 4.13855i | −1.34217 | + | 0.205393i | ||||
\(407\) | 6.51473 | + | 11.2839i | 0.322923 | + | 0.559320i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −34.6194 | −1.71182 | −0.855909 | − | 0.517127i | \(-0.827002\pi\) | ||||
−0.855909 | + | 0.517127i | \(0.827002\pi\) | |||||||
\(410\) | 0.456126 | − | 2.08782i | 0.0225265 | − | 0.103110i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 37.8625 | − | 3.54731i | 1.86535 | − | 0.174764i | ||||
\(413\) | −1.38608 | + | 8.77543i | −0.0682045 | + | 0.431811i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.87041 | + | 3.38929i | 0.288167 | + | 0.166373i | ||||
\(416\) | 0.606764 | − | 21.4670i | 0.0297490 | − | 1.05251i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0773658 | + | 0.242767i | 0.00378409 | + | 0.0118741i | ||||
\(419\) | 18.7089 | − | 32.4047i | 0.913989 | − | 1.58308i | 0.105614 | − | 0.994407i | \(-0.466319\pi\) |
0.808375 | − | 0.588668i | \(-0.200347\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.84045 | − | 4.91981i | −0.138435 | − | 0.239777i | 0.788469 | − | 0.615074i | \(-0.210874\pi\) |
−0.926904 | + | 0.375297i | \(0.877541\pi\) | |||||||
\(422\) | −9.07485 | + | 9.96481i | −0.441757 | + | 0.485080i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.48819 | + | 28.5267i | −0.169401 | + | 1.38538i | ||||
\(425\) | − | 22.6432i | − | 1.09836i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.759020 | + | 4.80545i | −0.0367316 | + | 0.232552i | ||||
\(428\) | −17.9599 | + | 12.7410i | −0.868122 | + | 0.615857i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.40986 | − | 2.19464i | −0.116214 | − | 0.105835i | ||||
\(431\) | 5.53553 | + | 9.58782i | 0.266637 | + | 0.461829i | 0.967991 | − | 0.250984i | \(-0.0807541\pi\) |
−0.701354 | + | 0.712813i | \(0.747421\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.1104 | 0.630044 | 0.315022 | − | 0.949084i | \(-0.397988\pi\) | ||||
0.315022 | + | 0.949084i | \(0.397988\pi\) | |||||||
\(434\) | −5.50865 | + | 14.1293i | −0.264424 | + | 0.678229i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.808771 | − | 8.63247i | −0.0387331 | − | 0.413420i | ||||
\(437\) | − | 0.802637i | − | 0.0383953i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.6477i | 1.70137i | 0.525673 | + | 0.850687i | \(0.323814\pi\) | ||||
−0.525673 | + | 0.850687i | \(0.676186\pi\) | |||||||
\(440\) | −1.92302 | − | 1.44760i | −0.0916763 | − | 0.0690114i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.0115 | + | 5.46428i | 1.18968 | + | 0.259909i | ||||
\(443\) | 11.9641 | 0.568430 | 0.284215 | − | 0.958761i | \(-0.408267\pi\) | ||||
0.284215 | + | 0.958761i | \(0.408267\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.74369 | −0.130063 | ||||||||
\(446\) | 4.47249 | + | 14.0343i | 0.211779 | + | 0.664543i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −21.0046 | + | 2.60935i | −0.992372 | + | 0.123280i | ||||
\(449\) | 2.61389i | 0.123357i | 0.998096 | + | 0.0616786i | \(0.0196454\pi\) | ||||
−0.998096 | + | 0.0616786i | \(0.980355\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.42856 | + | 2.55683i | −0.208533 | + | 0.120396i | ||||
\(452\) | 3.91253 | + | 5.51516i | 0.184030 | + | 0.259412i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.06229 | − | 5.52087i | −0.284517 | − | 0.259107i | ||||
\(455\) | −4.97527 | − | 0.785843i | −0.233244 | − | 0.0368409i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.7861 | 0.831997 | 0.415998 | − | 0.909365i | \(-0.363432\pi\) | ||||
0.415998 | + | 0.909365i | \(0.363432\pi\) | |||||||
\(458\) | −6.64777 | + | 2.11853i | −0.310630 | + | 0.0989925i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.38710 | + | 6.18413i | 0.204550 | + | 0.288337i | ||||
\(461\) | −28.0337 | + | 16.1853i | −1.30566 | + | 0.753824i | −0.981369 | − | 0.192133i | \(-0.938460\pi\) |
−0.324293 | + | 0.945957i | \(0.605126\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.5925 | + | 11.8891i | 0.957015 | + | 0.552533i | 0.895253 | − | 0.445558i | \(-0.146995\pi\) |
0.0617618 | + | 0.998091i | \(0.480328\pi\) | |||||||
\(464\) | −27.6050 | − | 9.66454i | −1.28153 | − | 0.448665i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.8150 | − | 11.8756i | 0.500996 | − | 0.550128i | ||||
\(467\) | −3.53691 | + | 6.12611i | −0.163669 | + | 0.283483i | −0.936182 | − | 0.351516i | \(-0.885666\pi\) |
0.772513 | + | 0.634999i | \(0.219000\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.2121 | − | 1.61301i | −0.471553 | − | 0.0744818i | ||||
\(470\) | 0.877155 | + | 2.75244i | 0.0404602 | + | 0.126961i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.71204 | + | 7.58800i | −0.262918 | + | 0.349266i | ||||
\(473\) | 7.79931i | 0.358613i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.436606 | − | 0.252075i | 0.0200329 | − | 0.0115660i | ||||
\(476\) | 1.59461 | − | 25.1820i | 0.0730888 | − | 1.15421i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.0933 | − | 13.7453i | −0.690351 | − | 0.628695i | ||||
\(479\) | 7.62713 | − | 13.2106i | 0.348492 | − | 0.603607i | −0.637489 | − | 0.770459i | \(-0.720027\pi\) |
0.985982 | + | 0.166852i | \(0.0533604\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.5743 | + | 25.2435i | 0.664532 | + | 1.15100i | ||||
\(482\) | 14.7230 | + | 13.4081i | 0.670614 | + | 0.610721i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.51493 | − | 16.1697i | −0.0688603 | − | 0.734985i | ||||
\(485\) | −5.60759 | − | 3.23754i | −0.254627 | − | 0.147009i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.0078 | − | 6.35536i | 0.498811 | − | 0.287989i | −0.229411 | − | 0.973330i | \(-0.573680\pi\) |
0.728222 | + | 0.685341i | \(0.240347\pi\) | |||||||
\(488\) | −3.12792 | + | 4.15520i | −0.141594 | + | 0.188097i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0238475 | + | 4.96428i | −0.00107732 | + | 0.224263i | ||||
\(491\) | −12.0966 | + | 20.9519i | −0.545911 | + | 0.945546i | 0.452638 | + | 0.891695i | \(0.350483\pi\) |
−0.998549 | + | 0.0538515i | \(0.982850\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.4335 | − | 30.1957i | 0.785165 | − | 1.35994i | ||||
\(494\) | 0.173077 | + | 0.543102i | 0.00778712 | + | 0.0244353i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.2902 | + | 10.5730i | −0.551846 | + | 0.474743i | ||||
\(497\) | 3.98472 | − | 25.2277i | 0.178739 | − | 1.13162i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.0057 | + | 8.08621i | −0.626983 | + | 0.361989i | −0.779583 | − | 0.626299i | \(-0.784569\pi\) |
0.152600 | + | 0.988288i | \(0.451235\pi\) | |||||||
\(500\) | −4.07747 | + | 8.88646i | −0.182350 | + | 0.397414i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.60782 | − | 34.8231i | 0.339554 | − | 1.55423i | ||||
\(503\) | 5.44592 | 0.242822 | 0.121411 | − | 0.992602i | \(-0.461258\pi\) | ||||
0.121411 | + | 0.992602i | \(0.461258\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.25433 | 0.233815 | ||||||||
\(506\) | 3.87240 | − | 17.7250i | 0.172149 | − | 0.787974i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.09975 | + | 15.4732i | −0.315001 | + | 0.686513i | ||||
\(509\) | −6.38373 | + | 3.68565i | −0.282954 | + | 0.163364i | −0.634760 | − | 0.772709i | \(-0.718901\pi\) |
0.351806 | + | 0.936073i | \(0.385568\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 27.4214 | − | 10.5394i | 1.21305 | − | 0.466237i | ||||
\(512\) | −21.1366 | − | 8.07732i | −0.934116 | − | 0.356970i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.05828 | − | 9.59663i | −0.134895 | − | 0.423289i | ||||
\(515\) | 4.76755 | − | 8.25763i | 0.210083 | − | 0.363875i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.45626 | − | 5.98642i | 0.152006 | − | 0.263282i | ||||
\(518\) | 22.4204 | − | 17.9624i | 0.985096 | − | 0.789225i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.30205 | − | 3.23846i | −0.188657 | − | 0.142016i | ||||
\(521\) | −0.235443 | + | 0.135933i | −0.0103150 | + | 0.00595534i | −0.505149 | − | 0.863032i | \(-0.668562\pi\) |
0.494834 | + | 0.868988i | \(0.335229\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.10967 | + | 4.10477i | 0.310884 | + | 0.179489i | 0.647322 | − | 0.762217i | \(-0.275889\pi\) |
−0.336438 | + | 0.941706i | \(0.609222\pi\) | |||||||
\(524\) | 1.57092 | + | 16.7673i | 0.0686259 | + | 0.732482i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 28.6407 | + | 26.0828i | 1.24879 | + | 1.13726i | ||||
\(527\) | −9.66348 | − | 16.7376i | −0.420948 | − | 0.729103i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.0764 | + | 29.5771i | −0.742450 | + | 1.28596i | ||||
\(530\) | 5.32774 | + | 4.85192i | 0.231422 | + | 0.210754i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.503310 | − | 0.249590i | 0.0218213 | − | 0.0108211i | ||||
\(533\) | −9.90726 | + | 5.71996i | −0.429131 | + | 0.247759i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.52127i | 0.238705i | ||||||||
\(536\) | −8.83030 | − | 6.64721i | −0.381411 | − | 0.287116i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.43304 | + | 7.63468i | 0.104896 | + | 0.329154i | ||||
\(539\) | 8.82101 | − | 7.95602i | 0.379948 | − | 0.342690i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.2672 | + | 24.7116i | −0.613396 | + | 1.06243i | 0.377267 | + | 0.926104i | \(0.376864\pi\) |
−0.990664 | + | 0.136329i | \(0.956469\pi\) | |||||||
\(542\) | 15.4629 | − | 16.9793i | 0.664187 | − | 0.729323i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 14.1419 | − | 22.9703i | 0.606330 | − | 0.984843i | ||||
\(545\) | −1.88270 | − | 1.08698i | −0.0806461 | − | 0.0465611i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.56519 | − | 5.52246i | 0.408978 | − | 0.236123i | −0.281373 | − | 0.959599i | \(-0.590790\pi\) |
0.690350 | + | 0.723475i | \(0.257456\pi\) | |||||||
\(548\) | −4.92232 | − | 6.93858i | −0.210271 | − | 0.296402i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.8580 | − | 3.46025i | 0.462985 | − | 0.147545i | ||||
\(551\) | 0.776310 | 0.0330719 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.2920 | + | 1.94152i | 0.522709 | + | 0.0825619i | ||||
\(554\) | 2.90295 | + | 2.64368i | 0.123334 | + | 0.112319i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.715463 | + | 1.00853i | 0.0303424 | + | 0.0427711i | ||||
\(557\) | 4.13074 | − | 2.38488i | 0.175025 | − | 0.101051i | −0.409928 | − | 0.912118i | \(-0.634446\pi\) |
0.584953 | + | 0.811067i | \(0.301113\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.4481i | 0.737975i | ||||||||
\(560\) | −2.51366 | + | 4.67406i | −0.106222 | + | 0.197515i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.6109 | + | 39.5721i | 0.531961 | + | 1.66925i | ||||
\(563\) | 12.0197 | 0.506568 | 0.253284 | − | 0.967392i | \(-0.418489\pi\) | ||||
0.253284 | + | 0.967392i | \(0.418489\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.69549 | 0.0713298 | ||||||||
\(566\) | −42.3585 | − | 9.25408i | −1.78046 | − | 0.388978i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.4210 | − | 21.8141i | 0.689011 | − | 0.915298i | ||||
\(569\) | 13.7512i | 0.576481i | 0.957558 | + | 0.288240i | \(0.0930702\pi\) | ||||
−0.957558 | + | 0.288240i | \(0.906930\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 42.5287i | − | 1.77977i | −0.456185 | − | 0.889885i | \(-0.650784\pi\) | ||
0.456185 | − | 0.889885i | \(-0.349216\pi\) | |||||||
\(572\) | 1.20191 | + | 12.8286i | 0.0502543 | + | 0.536392i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.04970 | + | 8.79931i | 0.294249 | + | 0.367276i | ||||
\(575\) | −35.8986 | −1.49707 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22.8935 | + | 39.6527i | 0.953069 | + | 1.65076i | 0.738727 | + | 0.674004i | \(0.235427\pi\) |
0.214341 | + | 0.976759i | \(0.431240\pi\) | |||||||
\(578\) | 6.00006 | + | 5.46419i | 0.249569 | + | 0.227280i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.98129 | + | 4.24320i | −0.248360 | + | 0.176189i | ||||
\(581\) | −33.3826 | + | 12.8306i | −1.38494 | + | 0.532303i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 17.2428i | − | 0.714123i | ||||||
\(584\) | 31.1733 | + | 3.81181i | 1.28996 | + | 0.157734i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −2.04746 | + | 2.24825i | −0.0845796 | + | 0.0928743i | ||||
\(587\) | −5.33958 | − | 9.24842i | −0.220388 | − | 0.381723i | 0.734538 | − | 0.678568i | \(-0.237399\pi\) |
−0.954926 | + | 0.296845i | \(0.904066\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.215157 | − | 0.372662i | 0.00886537 | − | 0.0153553i | ||||
\(590\) | 0.723084 | + | 2.26898i | 0.0297689 | + | 0.0934123i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 30.1775 | − | 5.70471i | 1.24029 | − | 0.234462i | ||||
\(593\) | 29.7776 | + | 17.1921i | 1.22282 | + | 0.705995i | 0.965518 | − | 0.260336i | \(-0.0838335\pi\) |
0.257301 | + | 0.966331i | \(0.417167\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.91846 | − | 3.97944i | −0.201637 | − | 0.163141i | ||||
\(596\) | −11.9720 | + | 1.12165i | −0.490393 | + | 0.0459447i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.66306 | − | 39.6532i | 0.354259 | − | 1.62154i | ||||
\(599\) | −21.7556 | −0.888909 | −0.444454 | − | 0.895801i | \(-0.646602\pi\) | ||||
−0.444454 | + | 0.895801i | \(0.646602\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.5245 | + | 30.3533i | 0.714839 | + | 1.23814i | 0.963022 | + | 0.269424i | \(0.0868334\pi\) |
−0.248183 | + | 0.968713i | \(0.579833\pi\) | |||||||
\(602\) | 16.9987 | − | 2.60131i | 0.692815 | − | 0.106021i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 25.6371 | + | 36.1384i | 1.04316 | + | 1.47045i | ||||
\(605\) | −3.52653 | − | 2.03604i | −0.143374 | − | 0.0827770i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.12347 | − | 1.80333i | 0.126778 | − | 0.0731951i | −0.435270 | − | 0.900300i | \(-0.643347\pi\) |
0.562048 | + | 0.827105i | \(0.310014\pi\) | |||||||
\(608\) | 0.600347 | + | 0.0169688i | 0.0243473 | + | 0.000688175i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.395962 | + | 1.24250i | 0.0160321 | + | 0.0503072i | ||||
\(611\) | 7.73211 | − | 13.3924i | 0.312808 | − | 0.541799i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.90678 | − | 8.49879i | −0.198183 | − | 0.343263i | 0.749756 | − | 0.661714i | \(-0.230171\pi\) |
−0.947939 | + | 0.318451i | \(0.896837\pi\) | |||||||
\(614\) | 26.4588 | + | 5.78047i | 1.06779 | + | 0.233281i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 12.3190 | − | 3.08355i | 0.496348 | − | 0.124240i | ||||
\(617\) | 18.4047 | + | 10.6260i | 0.740945 | + | 0.427785i | 0.822413 | − | 0.568891i | \(-0.192627\pi\) |
−0.0814679 | + | 0.996676i | \(0.525961\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 24.6653 | + | 14.2405i | 0.991382 | + | 0.572374i | 0.905687 | − | 0.423947i | \(-0.139356\pi\) |
0.0856946 | + | 0.996321i | \(0.472689\pi\) | |||||||
\(620\) | 0.379189 | + | 4.04729i | 0.0152286 | + | 0.162543i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.71786 | − | 7.86313i | 0.0688800 | − | 0.315283i | ||||
\(623\) | 9.10499 | − | 11.2535i | 0.364784 | − | 0.450861i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.6455 | − | 18.4386i | −0.425822 | − | 0.737545i | ||||
\(626\) | 7.42973 | − | 34.0079i | 0.296952 | − | 1.35923i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.08599 | − | 3.25135i | −0.282762 | − | 0.129743i | ||||
\(629\) | 36.6124i | 1.45983i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 21.2573i | 0.846239i | 0.906074 | + | 0.423119i | \(0.139065\pi\) | ||||
−0.906074 | + | 0.423119i | \(0.860935\pi\) | |||||||
\(632\) | 10.6287 | + | 8.00101i | 0.422788 | + | 0.318263i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.4102 | + | 3.58513i | 0.651730 | + | 0.142384i | ||||
\(635\) | 2.13431 | + | 3.69674i | 0.0846976 | + | 0.146701i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.7337 | − | 17.7987i | 0.781879 | − | 0.705209i | ||||
\(638\) | 17.1436 | + | 3.74538i | 0.678723 | + | 0.148281i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.71828 | + | 3.15067i | −0.186507 | + | 0.124541i | ||||
\(641\) | 31.8426 | + | 18.3844i | 1.25771 | + | 0.726138i | 0.972629 | − | 0.232365i | \(-0.0746465\pi\) |
0.285080 | + | 0.958504i | \(0.407980\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.592243 | + | 0.341931i | 0.0233558 | + | 0.0134845i | 0.511632 | − | 0.859204i | \(-0.329041\pi\) |
−0.488277 | + | 0.872689i | \(0.662374\pi\) | |||||||
\(644\) | −39.9235 | − | 2.52809i | −1.57321 | − | 0.0996208i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.152814 | + | 0.699473i | −0.00601240 | + | 0.0275204i | ||||
\(647\) | 20.1867 | + | 34.9643i | 0.793619 | + | 1.37459i | 0.923712 | + | 0.383087i | \(0.125139\pi\) |
−0.130093 | + | 0.991502i | \(0.541528\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.84917 | − | 4.93491i | 0.111840 | − | 0.193712i | ||||
\(650\) | 24.2907 | − | 7.74102i | 0.952759 | − | 0.303628i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.5958 | − | 31.8514i | −0.884919 | − | 1.24740i | ||||
\(653\) | −0.662624 | + | 0.382566i | −0.0259305 | + | 0.0149710i | −0.512909 | − | 0.858443i | \(-0.671432\pi\) |
0.486979 | + | 0.873414i | \(0.338099\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.65687 | + | 2.11130i | 0.142886 | + | 0.0824952i | ||||
\(656\) | 2.23892 | + | 11.8437i | 0.0874151 | + | 0.462420i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −14.2002 | − | 5.53630i | −0.553583 | − | 0.215828i | ||||
\(659\) | 20.6707 | + | 35.8027i | 0.805215 | + | 1.39467i | 0.916146 | + | 0.400845i | \(0.131284\pi\) |
−0.110930 | + | 0.993828i | \(0.535383\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.0002 | −1.05019 | −0.525093 | − | 0.851045i | \(-0.675969\pi\) | ||||
−0.525093 | + | 0.851045i | \(0.675969\pi\) | |||||||
\(662\) | −22.0436 | − | 4.81587i | −0.856748 | − | 0.187174i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −37.9500 | − | 4.64046i | −1.47275 | − | 0.180085i | ||||
\(665\) | 0.0219769 | − | 0.139138i | 0.000852228 | − | 0.00539556i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −47.8722 | − | 27.6390i | −1.85362 | − | 1.07019i | ||||
\(668\) | −7.18530 | + | 5.09735i | −0.278008 | + | 0.197222i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.64045 | + | 0.841467i | −0.102010 | + | 0.0325087i | ||||
\(671\) | 1.56021 | − | 2.70237i | 0.0602314 | − | 0.104324i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.7318 | + | 25.5163i | 0.567871 | + | 0.983581i | 0.996776 | + | 0.0802316i | \(0.0255660\pi\) |
−0.428906 | + | 0.903349i | \(0.641101\pi\) | |||||||
\(674\) | 13.1111 | + | 11.9402i | 0.505023 | + | 0.459919i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.263521 | + | 2.81270i | 0.0101354 | + | 0.108181i | ||||
\(677\) | − | 17.2308i | − | 0.662233i | −0.943590 | − | 0.331117i | \(-0.892575\pi\) | ||
0.943590 | − | 0.331117i | \(-0.107425\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 31.8880 | − | 12.2562i | 1.22375 | − | 0.470348i | ||||
\(680\) | −2.64583 | − | 6.22454i | −0.101463 | − | 0.238700i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.54935 | − | 7.19164i | 0.250788 | − | 0.275382i | ||||
\(683\) | −16.6012 | − | 28.7542i | −0.635228 | − | 1.10025i | −0.986467 | − | 0.163962i | \(-0.947573\pi\) |
0.351238 | − | 0.936286i | \(-0.385761\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.13308 | −0.0815008 | ||||||||
\(686\) | −20.2823 | − | 16.5719i | −0.774382 | − | 0.632718i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17.3513 | + | 6.07470i | 0.661511 | + | 0.231596i | ||||
\(689\) | − | 38.5743i | − | 1.46957i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.6328i | 0.404490i | 0.979335 | + | 0.202245i | \(0.0648237\pi\) | ||||
−0.979335 | + | 0.202245i | \(0.935176\pi\) | |||||||
\(692\) | 14.9823 | − | 32.6524i | 0.569541 | − | 1.24126i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.02599 | + | 32.1599i | −0.266703 | + | 1.22077i | ||||
\(695\) | 0.310045 | 0.0117607 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.3692 | −0.544273 | ||||||||
\(698\) | 32.1862 | − | 10.2572i | 1.21827 | − | 0.388241i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.1631 | − | 22.5109i | −0.421926 | − | 0.850834i | ||||
\(701\) | 14.3639i | 0.542518i | 0.962506 | + | 0.271259i | \(0.0874399\pi\) | ||||
−0.962506 | + | 0.271259i | \(0.912560\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.705959 | + | 0.407586i | −0.0266258 | + | 0.0153724i | ||||
\(704\) | 13.1759 | + | 3.27116i | 0.496585 | + | 0.123287i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −29.0275 | + | 31.8742i | −1.09247 | + | 1.19960i | ||||
\(707\) | −17.4366 | + | 21.5511i | −0.655772 | + | 0.810513i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.3525 | −0.839467 | −0.419734 | − | 0.907647i | \(-0.637876\pi\) | ||||
−0.419734 | + | 0.907647i | \(0.637876\pi\) | |||||||
\(710\) | −2.07873 | − | 6.52288i | −0.0780134 | − | 0.244799i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.2418 | − | 6.05367i | 0.533734 | − | 0.226871i | ||||
\(713\) | −26.5358 | + | 15.3205i | −0.993775 | + | 0.573756i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.79787 | + | 1.61535i | 0.104634 | + | 0.0604107i | ||||
\(716\) | −1.58382 | − | 16.9050i | −0.0591900 | − | 0.631768i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −17.7125 | − | 16.1306i | −0.661026 | − | 0.601989i | ||||
\(719\) | −6.77863 | + | 11.7409i | −0.252800 | + | 0.437863i | −0.964296 | − | 0.264828i | \(-0.914685\pi\) |
0.711496 | + | 0.702691i | \(0.248018\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.0482 | + | 46.9577i | 0.672150 | + | 1.74880i | ||||
\(722\) | 25.5863 | − | 8.15391i | 0.952222 | − | 0.303457i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 44.8262 | + | 20.5681i | 1.66595 | + | 0.764407i | ||||
\(725\) | − | 34.7211i | − | 1.28951i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.9137 | + | 10.9198i | −0.701469 | + | 0.404993i | −0.807894 | − | 0.589327i | \(-0.799393\pi\) |
0.106425 | + | 0.994321i | \(0.466059\pi\) | |||||||
\(728\) | 27.5593 | − | 6.89832i | 1.02141 | − | 0.255669i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.30206 | − | 5.82203i | 0.196238 | − | 0.215483i | ||||
\(731\) | −10.9579 | + | 18.9797i | −0.405293 | + | 0.701988i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 23.8503 | + | 41.3098i | 0.880929 | + | 1.52581i | 0.850309 | + | 0.526283i | \(0.176415\pi\) |
0.0306197 | + | 0.999531i | \(0.490252\pi\) | |||||||
\(734\) | 13.4981 | − | 14.8219i | 0.498225 | − | 0.547085i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −36.4171 | − | 22.4206i | −1.34235 | − | 0.826435i | ||||
\(737\) | 5.74285 | + | 3.31564i | 0.211541 | + | 0.122133i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.03773 | − | 0.599135i | 0.0381736 | − | 0.0220395i | −0.480792 | − | 0.876835i | \(-0.659651\pi\) |
0.518965 | + | 0.854795i | \(0.326317\pi\) | |||||||
\(740\) | 3.21145 | − | 6.99903i | 0.118055 | − | 0.257290i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −37.5808 | + | 5.75099i | −1.37963 | + | 0.211126i | ||||
\(743\) | 14.0688 | − | 24.3679i | 0.516134 | − | 0.893970i | −0.483690 | − | 0.875239i | \(-0.660704\pi\) |
0.999825 | − | 0.0187314i | \(-0.00596273\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.50749 | + | 2.61104i | −0.0552301 | + | 0.0956613i | ||||
\(746\) | −3.65781 | + | 1.16568i | −0.133922 | + | 0.0426786i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.74935 | + | 14.7096i | −0.246781 | + | 0.537834i | ||||
\(749\) | −22.6460 | − | 18.3225i | −0.827467 | − | 0.669489i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.85689 | − | 1.64943i | 0.104249 | − | 0.0601884i | −0.446969 | − | 0.894550i | \(-0.647497\pi\) |
0.551218 | + | 0.834361i | \(0.314163\pi\) | |||||||
\(752\) | −10.6261 | − | 12.3519i | −0.387493 | − | 0.450427i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 38.3526 | + | 8.37891i | 1.39672 | + | 0.305142i | ||||
\(755\) | 11.1098 | 0.404327 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.01338 | 0.182215 | 0.0911073 | − | 0.995841i | \(-0.470959\pi\) | ||||
0.0911073 | + | 0.995841i | \(0.470959\pi\) | |||||||
\(758\) | −20.1451 | − | 4.40111i | −0.731702 | − | 0.159855i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0905669 | − | 0.120311i | 0.00328521 | − | 0.00436415i | ||||
\(761\) | −10.4943 | + | 6.05888i | −0.380418 | + | 0.219634i | −0.678000 | − | 0.735062i | \(-0.737153\pi\) |
0.297582 | + | 0.954696i | \(0.403820\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.7061 | − | 4.11491i | 0.387588 | − | 0.148970i | ||||
\(764\) | −10.7626 | − | 4.93831i | −0.389376 | − | 0.178662i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.9430 | − | 9.54233i | 1.08189 | − | 0.344778i | ||||
\(767\) | 6.37397 | − | 11.0400i | 0.230151 | − | 0.398633i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.90320 | − | 11.9567i | 0.248936 | − | 0.431170i | −0.714295 | − | 0.699845i | \(-0.753252\pi\) |
0.963231 | + | 0.268675i | \(0.0865858\pi\) | |||||||
\(770\) | 1.15661 | − | 2.96664i | 0.0416815 | − | 0.106910i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −29.9698 | − | 13.7514i | −1.07864 | − | 0.494924i | ||||
\(773\) | −13.5671 | + | 7.83300i | −0.487976 | + | 0.281733i | −0.723735 | − | 0.690078i | \(-0.757576\pi\) |
0.235758 | + | 0.971812i | \(0.424243\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −16.6676 | − | 9.62304i | −0.598718 | − | 0.345670i | ||||
\(776\) | 36.2509 | + | 4.43270i | 1.30133 | + | 0.159125i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.72937 | − | 8.48737i | 0.277111 | − | 0.304287i | ||||
\(779\) | −0.159965 | − | 0.277067i | −0.00573133 | − | 0.00992695i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.19083 | + | 14.1869i | −0.293091 | + | 0.507649i | ||||
\(782\) | 34.3269 | − | 37.6933i | 1.22753 | − | 1.34791i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −10.8294 | − | 25.8210i | −0.386765 | − | 0.922178i | ||||
\(785\) | −1.69293 | + | 0.977413i | −0.0604232 | + | 0.0348854i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 43.6810i | − | 1.55706i | −0.627607 | − | 0.778530i | \(-0.715966\pi\) | ||
0.627607 | − | 0.778530i | \(-0.284034\pi\) | |||||||
\(788\) | 3.54040 | − | 7.71595i | 0.126121 | − | 0.274869i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.17822 | − | 1.01285i | 0.113076 | − | 0.0360354i | ||||
\(791\) | −5.62652 | + | 6.95420i | −0.200056 | + | 0.247263i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.49040 | − | 6.04555i | 0.123948 | − | 0.214684i | ||||
\(794\) | 18.0500 | + | 16.4380i | 0.640572 | + | 0.583362i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −43.6837 | + | 4.09271i | −1.54833 | + | 0.145062i | ||||
\(797\) | 44.7621 | + | 25.8434i | 1.58556 | + | 0.915422i | 0.994027 | + | 0.109139i | \(0.0348092\pi\) |
0.591530 | + | 0.806283i | \(0.298524\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.8216 | − | 9.71198i | 0.595107 | − | 0.343585i | ||||
\(800\) | 0.758942 | − | 26.8510i | 0.0268326 | − | 0.949326i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.390175 | − | 1.22433i | −0.0137775 | − | 0.0432328i | ||||
\(803\) | −18.8425 | −0.664937 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.30900 | + | 7.79772i | −0.222363 | + | 0.274833i | ||||
\(806\) | 14.6518 | − | 16.0886i | 0.516086 | − | 0.566698i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −27.2740 | + | 11.5932i | −0.959494 | + | 0.407846i | ||||
\(809\) | −18.7111 | + | 10.8029i | −0.657848 | + | 0.379809i | −0.791457 | − | 0.611225i | \(-0.790677\pi\) |
0.133608 | + | 0.991034i | \(0.457344\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.10006i | 0.0386283i | 0.999813 | + | 0.0193141i | \(0.00614826\pi\) | ||||
−0.999813 | + | 0.0193141i | \(0.993852\pi\) | |||||||
\(812\) | 2.44517 | − | 38.6140i | 0.0858086 | − | 1.35508i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −17.5565 | + | 5.59496i | −0.615355 | + | 0.196103i | ||||
\(815\) | −9.79185 | −0.342994 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.487954 | −0.0170713 | ||||||||
\(818\) | 10.4497 | − | 47.8310i | 0.365364 | − | 1.67237i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.74690 | + | 1.26039i | 0.0959259 | + | 0.0440148i | ||||
\(821\) | 31.5197i | 1.10004i | 0.835150 | + | 0.550022i | \(0.185381\pi\) | ||||
−0.835150 | + | 0.550022i | \(0.814619\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 20.0998i | − | 0.700634i | −0.936631 | − | 0.350317i | \(-0.886074\pi\) | ||
0.936631 | − | 0.350317i | \(-0.113926\pi\) | |||||||
\(824\) | −6.52752 | + | 53.3825i | −0.227397 | + | 1.85967i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.7060 | − | 4.56386i | −0.407303 | − | 0.158797i | ||||
\(827\) | 14.3246 | 0.498114 | 0.249057 | − | 0.968489i | \(-0.419879\pi\) | ||||
0.249057 | + | 0.968489i | \(0.419879\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.2497 | + | 26.4133i | 0.529646 | + | 0.917373i | 0.999402 | + | 0.0345771i | \(0.0110084\pi\) |
−0.469756 | + | 0.882796i | \(0.655658\pi\) | |||||||
\(830\) | −6.45468 | + | 7.08768i | −0.224045 | + | 0.246017i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 29.4762 | + | 7.31802i | 1.02190 | + | 0.253707i | ||||
\(833\) | 32.6440 | − | 6.96763i | 1.13105 | − | 0.241414i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.20893i | 0.0764431i | ||||||||
\(836\) | −0.358766 | + | 0.0336126i | −0.0124082 | + | 0.00116252i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 39.1241 | + | 35.6299i | 1.35152 | + | 1.23081i | ||||
\(839\) | 5.36379 | + | 9.29036i | 0.185179 | + | 0.320739i | 0.943637 | − | 0.330983i | \(-0.107380\pi\) |
−0.758458 | + | 0.651722i | \(0.774047\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.2325 | − | 21.1872i | 0.421809 | − | 0.730594i | ||||
\(842\) | 7.65471 | − | 2.43943i | 0.263799 | − | 0.0840682i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.0284 | − | 15.5459i | −0.379615 | − | 0.535111i | ||||
\(845\) | 0.613438 | + | 0.354168i | 0.0211029 | + | 0.0121838i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.0539 | − | 7.70772i | 0.689060 | − | 0.264841i | ||||
\(848\) | −38.3603 | − | 13.4300i | −1.31730 | − | 0.461188i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 31.2845 | + | 6.83474i | 1.07305 | + | 0.234429i | ||||
\(851\) | 58.0453 | 1.98977 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.00604 | − | 6.93866i | −0.137164 | − | 0.237575i | 0.789258 | − | 0.614062i | \(-0.210465\pi\) |
−0.926422 | + | 0.376487i | \(0.877132\pi\) | |||||||
\(854\) | −6.41022 | − | 2.49918i | −0.219353 | − | 0.0855201i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.1821 | − | 28.6596i | −0.416377 | − | 0.979564i | ||||
\(857\) | −8.14808 | − | 4.70430i | −0.278333 | − | 0.160696i | 0.354335 | − | 0.935118i | \(-0.384707\pi\) |
−0.632669 | + | 0.774423i | \(0.718040\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.10018 | + | 4.09929i | −0.242255 | + | 0.139866i | −0.616213 | − | 0.787580i | \(-0.711334\pi\) |
0.373958 | + | 0.927446i | \(0.378001\pi\) | |||||||
\(860\) | 3.75957 | − | 2.66709i | 0.128200 | − | 0.0909470i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.9177 | + | 4.75400i | −0.508097 | + | 0.161922i | ||||
\(863\) | −14.3575 | + | 24.8680i | −0.488736 | + | 0.846516i | −0.999916 | − | 0.0129580i | \(-0.995875\pi\) |
0.511180 | + | 0.859474i | \(0.329209\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.50394 | − | 7.80106i | −0.153139 | − | 0.265244i | ||||
\(866\) | −3.95729 | + | 18.1136i | −0.134474 | + | 0.615526i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −17.8587 | − | 11.8758i | −0.606163 | − | 0.403089i | ||||
\(869\) | −6.91248 | − | 3.99092i | −0.234490 | − | 0.135383i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.8475 | + | 7.41752i | 0.435322 | + | 0.251333i | ||||
\(872\) | 12.1710 | + | 1.48824i | 0.412161 | + | 0.0503983i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.10894 | + | 0.242272i | 0.0375106 | + | 0.00819496i | ||||
\(875\) | −12.7757 | − | 2.01792i | −0.431898 | − | 0.0682183i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.97476 | + | 5.15243i | 0.100450 | + | 0.173985i | 0.911870 | − | 0.410478i | \(-0.134638\pi\) |
−0.811420 | + | 0.584464i | \(0.801305\pi\) | |||||||
\(878\) | −49.2518 | − | 10.7601i | −1.66217 | − | 0.363135i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.58049 | − | 2.21994i | 0.0869882 | − | 0.0748343i | ||||
\(881\) | − | 20.0536i | − | 0.675622i | −0.941214 | − | 0.337811i | \(-0.890314\pi\) | ||
0.941214 | − | 0.337811i | \(-0.109686\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 1.14562i | − | 0.0385533i | −0.999814 | − | 0.0192766i | \(-0.993864\pi\) | ||
0.999814 | − | 0.0192766i | \(-0.00613632\pi\) | |||||||
\(884\) | −15.0992 | + | 32.9072i | −0.507840 | + | 1.10679i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.61129 | + | 16.5299i | −0.121324 | + | 0.555332i | ||||
\(887\) | 7.42383 | + | 12.8585i | 0.249268 | + | 0.431745i | 0.963323 | − | 0.268345i | \(-0.0864767\pi\) |
−0.714055 | + | 0.700090i | \(0.753143\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −22.2453 | − | 3.51364i | −0.746082 | − | 0.117844i | ||||
\(890\) | 0.828167 | − | 3.79075i | 0.0277602 | − | 0.127066i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.7401 | + | 1.94313i | −0.694431 | + | 0.0650609i | ||||
\(893\) | 0.374532 | + | 0.216236i | 0.0125332 | + | 0.00723607i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.68690 | − | 2.12863i | −0.123239 | − | 0.0711523i | ||||
\(896\) | 2.73497 | − | 29.8081i | 0.0913688 | − | 0.995817i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.61142 | − | 0.788989i | −0.120515 | − | 0.0263289i | ||||
\(899\) | −14.8180 | − | 25.6654i | −0.494206 | − | 0.855990i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.2258 | − | 41.9603i | 0.807079 | − | 1.39790i | ||||
\(902\) | −2.19584 | − | 6.89037i | −0.0731136 | − | 0.229424i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.80087 | + | 3.74093i | −0.292713 | + | 0.124421i | ||||
\(905\) | 10.7095 | − | 6.18314i | 0.355996 | − | 0.205534i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 33.7029 | + | 19.4584i | 1.11909 | + | 0.646104i | 0.941167 | − | 0.337941i | \(-0.109731\pi\) |
0.177918 | + | 0.984045i | \(0.443064\pi\) | |||||||
\(908\) | 9.45764 | − | 6.70937i | 0.313863 | − | 0.222658i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.58750 | − | 6.63675i | 0.0857747 | − | 0.220006i | ||||
\(911\) | −10.5139 | − | 18.2107i | −0.348342 | − | 0.603346i | 0.637613 | − | 0.770357i | \(-0.279922\pi\) |
−0.985955 | + | 0.167010i | \(0.946589\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 22.9387 | 0.759159 | ||||||||
\(914\) | −5.36862 | + | 24.5737i | −0.177578 | + | 0.812825i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.920424 | − | 9.82420i | −0.0304117 | − | 0.324601i | ||||
\(917\) | −20.7951 | + | 7.99260i | −0.686714 | + | 0.263939i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.2723 | − | 9.39484i | −0.536775 | − | 0.309907i | 0.206996 | − | 0.978342i | \(-0.433631\pi\) |
−0.743771 | + | 0.668435i | \(0.766965\pi\) | |||||||
\(920\) | −9.86838 | + | 4.19469i | −0.325351 | + | 0.138295i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −13.9002 | − | 43.6176i | −0.457778 | − | 1.43647i | ||||
\(923\) | −18.3240 | + | 31.7380i | −0.603141 | + | 1.04467i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.2296 | + | 31.5746i | 0.599385 | + | 1.03817i | ||||
\(926\) | −22.6420 | + | 24.8625i | −0.744062 | + | 0.817032i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 21.6852 | − | 35.2226i | 0.711851 | − | 1.15624i | ||||
\(929\) | − | 30.7325i | − | 1.00830i | −0.863616 | − | 0.504151i | \(-0.831806\pi\) | ||
0.863616 | − | 0.504151i | \(-0.168194\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.497758 | + | 0.551875i | 0.0163134 | + | 0.0180870i | ||||
\(932\) | 13.1432 | + | 18.5269i | 0.430520 | + | 0.606868i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.39640 | − | 6.73583i | −0.242018 | − | 0.220403i | ||||
\(935\) | 2.02897 | + | 3.51429i | 0.0663546 | + | 0.114929i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 23.7669 | 0.776431 | 0.388215 | − | 0.921569i | \(-0.373092\pi\) | ||||
0.388215 | + | 0.921569i | \(0.373092\pi\) | |||||||
\(938\) | 5.31105 | − | 13.6225i | 0.173412 | − | 0.444790i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.06760 | + | 0.381092i | −0.132671 | + | 0.0124298i | ||||
\(941\) | 5.48583i | 0.178833i | 0.995994 | + | 0.0894164i | \(0.0285002\pi\) | ||||
−0.995994 | + | 0.0894164i | \(0.971500\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.7809i | 0.741849i | ||||||||
\(944\) | −8.75963 | − | 10.1823i | −0.285102 | − | 0.331405i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.7757 | − | 2.35418i | −0.350349 | − | 0.0765410i | ||||
\(947\) | −33.5087 | −1.08889 | −0.544443 | − | 0.838798i | \(-0.683259\pi\) | ||||
−0.544443 | + | 0.838798i | \(0.683259\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −42.1531 | −1.36835 | ||||||||
\(950\) | 0.216486 | + | 0.679314i | 0.00702373 | + | 0.0220399i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 34.3107 | + | 9.80419i | 1.11202 | + | 0.317756i | ||||
\(953\) | − | 21.1120i | − | 0.683884i | −0.939721 | − | 0.341942i | \(-0.888915\pi\) | ||
0.939721 | − | 0.341942i | \(-0.111085\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.57130 | + | 1.48454i | −0.0832054 | + | 0.0480387i | ||||
\(956\) | 23.5467 | − | 16.7043i | 0.761554 | − | 0.540256i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 15.9499 | + | 14.5254i | 0.515317 | + | 0.469294i | ||||
\(959\) | 7.07868 | − | 8.74902i | 0.228582 | − | 0.282521i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.5726 | 0.470085 | ||||||||
\(962\) | −39.2762 | + | 12.5167i | −1.26632 | + | 0.403553i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −22.9690 | + | 16.2945i | −0.739781 | + | 0.524811i | ||||
\(965\) | −7.16015 | + | 4.13392i | −0.230493 | + | 0.133075i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.5455 | + | 11.2846i | 0.628540 | + | 0.362888i | 0.780186 | − | 0.625547i | \(-0.215124\pi\) |
−0.151646 | + | 0.988435i | \(0.548457\pi\) | |||||||
\(968\) | 22.7977 | + | 2.78766i | 0.732746 | + | 0.0895988i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.16569 | − | 6.77035i | 0.197968 | − | 0.217383i | ||||
\(971\) | 26.7170 | − | 46.2752i | 0.857388 | − | 1.48504i | −0.0170228 | − | 0.999855i | \(-0.505419\pi\) |
0.874411 | − | 0.485185i | \(-0.161248\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.02889 | + | 1.27168i | −0.0329847 | + | 0.0407681i | ||||
\(974\) | 5.45808 | + | 17.1270i | 0.174888 | + | 0.548784i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.79679 | − | 5.57584i | −0.153542 | − | 0.178478i | ||||
\(977\) | 26.2486i | 0.839767i | 0.907578 | + | 0.419884i | \(0.137929\pi\) | ||||
−0.907578 | + | 0.419884i | \(0.862071\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.04072 | + | 4.64231i | −0.256983 | + | 0.148369i | ||||
\(980\) | −6.85158 | − | 1.53139i | −0.218866 | − | 0.0489185i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −25.2964 | − | 23.0372i | −0.807241 | − | 0.735146i | ||||
\(983\) | −14.3790 | + | 24.9052i | −0.458620 | + | 0.794352i | −0.998888 | − | 0.0471402i | \(-0.984989\pi\) |
0.540269 | + | 0.841493i | \(0.318323\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.06431 | − | 1.84343i | −0.0339116 | − | 0.0587366i | ||||
\(986\) | 36.4569 | + | 33.2010i | 1.16103 | + | 1.05733i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.802607 | + | 0.0751958i | −0.0255343 | + | 0.00239230i | ||||
\(989\) | 30.0903 | + | 17.3727i | 0.956817 | + | 0.552418i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.2389 | + | 15.1490i | −0.833506 | + | 0.481225i | −0.855051 | − | 0.518543i | \(-0.826475\pi\) |
0.0215459 | + | 0.999768i | \(0.493141\pi\) | |||||||
\(992\) | −10.8982 | − | 20.1719i | −0.346019 | − | 0.640457i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 33.6525 | + | 13.1202i | 1.06739 | + | 0.416148i | ||||
\(995\) | −5.50055 | + | 9.52723i | −0.174379 | + | 0.302033i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.1245 | + | 17.5361i | −0.320645 | + | 0.555374i | −0.980621 | − | 0.195913i | \(-0.937233\pi\) |
0.659976 | + | 0.751287i | \(0.270566\pi\) | |||||||
\(998\) | −6.94457 | − | 21.7915i | −0.219826 | − | 0.689797i | ||||
\(999\) | 0 | 0 |
(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 | 756.2.bb.a.611.18 | 88 | ||
3.2 | odd | 2 | 252.2.bb.a.23.27 | yes | 88 | ||
4.3 | odd | 2 | inner | 756.2.bb.a.611.27 | 88 | ||
7.4 | even | 3 | 756.2.o.a.179.11 | 88 | |||
9.2 | odd | 6 | 756.2.o.a.359.5 | 88 | |||
9.7 | even | 3 | 252.2.o.a.191.40 | yes | 88 | ||
12.11 | even | 2 | 252.2.bb.a.23.18 | yes | 88 | ||
21.11 | odd | 6 | 252.2.o.a.95.34 | ✓ | 88 | ||
28.11 | odd | 6 | 756.2.o.a.179.5 | 88 | |||
36.7 | odd | 6 | 252.2.o.a.191.34 | yes | 88 | ||
36.11 | even | 6 | 756.2.o.a.359.11 | 88 | |||
63.11 | odd | 6 | inner | 756.2.bb.a.683.27 | 88 | ||
63.25 | even | 3 | 252.2.bb.a.11.18 | yes | 88 | ||
84.11 | even | 6 | 252.2.o.a.95.40 | yes | 88 | ||
252.11 | even | 6 | inner | 756.2.bb.a.683.18 | 88 | ||
252.151 | odd | 6 | 252.2.bb.a.11.27 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.o.a.95.34 | ✓ | 88 | 21.11 | odd | 6 | ||
252.2.o.a.95.40 | yes | 88 | 84.11 | even | 6 | ||
252.2.o.a.191.34 | yes | 88 | 36.7 | odd | 6 | ||
252.2.o.a.191.40 | yes | 88 | 9.7 | even | 3 | ||
252.2.bb.a.11.18 | yes | 88 | 63.25 | even | 3 | ||
252.2.bb.a.11.27 | yes | 88 | 252.151 | odd | 6 | ||
252.2.bb.a.23.18 | yes | 88 | 12.11 | even | 2 | ||
252.2.bb.a.23.27 | yes | 88 | 3.2 | odd | 2 | ||
756.2.o.a.179.5 | 88 | 28.11 | odd | 6 | |||
756.2.o.a.179.11 | 88 | 7.4 | even | 3 | |||
756.2.o.a.359.5 | 88 | 9.2 | odd | 6 | |||
756.2.o.a.359.11 | 88 | 36.11 | even | 6 | |||
756.2.bb.a.611.18 | 88 | 1.1 | even | 1 | trivial | ||
756.2.bb.a.611.27 | 88 | 4.3 | odd | 2 | inner | ||
756.2.bb.a.683.18 | 88 | 252.11 | even | 6 | inner | ||
756.2.bb.a.683.27 | 88 | 63.11 | odd | 6 | inner |