Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(289,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.h (of order \(3\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.3 | ||
Root | \(0.500000 + 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.361 |
Dual form | 378.2.h.d.289.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0.460505 | 0.205944 | 0.102972 | − | 0.994684i | \(-0.467165\pi\) | ||||
0.102972 | + | 0.994684i | \(0.467165\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.25729 | + | 1.38008i | 0.853177 | + | 0.521621i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.230252 | − | 0.398809i | 0.0728122 | − | 0.126114i | ||||
\(11\) | 3.64766 | 1.09981 | 0.549906 | − | 0.835227i | \(-0.314664\pi\) | ||||
0.549906 | + | 0.835227i | \(0.314664\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.730252 | − | 1.26483i | 0.202536 | − | 0.350802i | −0.746809 | − | 0.665038i | \(-0.768415\pi\) |
0.949345 | + | 0.314236i | \(0.101748\pi\) | |||||||
\(14\) | 2.32383 | − | 1.26483i | 0.621070 | − | 0.338041i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.86693 | − | 3.23361i | 0.452796 | − | 0.784266i | −0.545763 | − | 0.837940i | \(-0.683760\pi\) |
0.998558 | + | 0.0536743i | \(0.0170933\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.02704 | − | 3.51094i | −0.465035 | − | 0.805465i | 0.534168 | − | 0.845378i | \(-0.320625\pi\) |
−0.999203 | + | 0.0399136i | \(0.987292\pi\) | |||||||
\(20\) | −0.230252 | − | 0.398809i | −0.0514860 | − | 0.0891764i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.82383 | − | 3.15897i | 0.388842 | − | 0.673495i | ||||
\(23\) | −1.13307 | −0.236262 | −0.118131 | − | 0.992998i | \(-0.537690\pi\) | ||||
−0.118131 | + | 0.992998i | \(0.537690\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.78794 | −0.957587 | ||||||||
\(26\) | −0.730252 | − | 1.26483i | −0.143214 | − | 0.248054i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0665372 | − | 2.64491i | 0.0125744 | − | 0.499842i | ||||
\(29\) | 4.48755 | + | 7.77266i | 0.833317 | + | 1.44335i | 0.895394 | + | 0.445275i | \(0.146894\pi\) |
−0.0620772 | + | 0.998071i | \(0.519772\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.257295 | + | 0.445647i | 0.0462115 | + | 0.0800406i | 0.888206 | − | 0.459446i | \(-0.151952\pi\) |
−0.841994 | + | 0.539486i | \(0.818619\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.86693 | − | 3.23361i | −0.320175 | − | 0.554560i | ||||
\(35\) | 1.03950 | + | 0.635534i | 0.175707 | + | 0.107425i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.55408 | − | 7.88791i | −0.748687 | − | 1.29676i | −0.948452 | − | 0.316920i | \(-0.897351\pi\) |
0.199765 | − | 0.979844i | \(-0.435982\pi\) | |||||||
\(38\) | −4.05408 | −0.657659 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.460505 | −0.0728122 | ||||||||
\(41\) | 0.472958 | − | 0.819187i | 0.0738636 | − | 0.127936i | −0.826728 | − | 0.562602i | \(-0.809800\pi\) |
0.900592 | + | 0.434666i | \(0.143134\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.66372 | + | 8.07779i | 0.711210 | + | 1.23185i | 0.964403 | + | 0.264436i | \(0.0851858\pi\) |
−0.253193 | + | 0.967416i | \(0.581481\pi\) | |||||||
\(44\) | −1.82383 | − | 3.15897i | −0.274953 | − | 0.476233i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.566537 | + | 0.981271i | −0.0835314 | + | 0.144681i | ||||
\(47\) | 1.16372 | − | 2.01561i | 0.169745 | − | 0.294007i | −0.768585 | − | 0.639748i | \(-0.779039\pi\) |
0.938330 | + | 0.345740i | \(0.112372\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.19076 | + | 6.23049i | 0.455822 | + | 0.890071i | ||||
\(50\) | −2.39397 | + | 4.14647i | −0.338558 | + | 0.586400i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.46050 | −0.202536 | ||||||||
\(53\) | −6.21780 | + | 10.7695i | −0.854080 | + | 1.47931i | 0.0234151 | + | 0.999726i | \(0.492546\pi\) |
−0.877495 | + | 0.479585i | \(0.840787\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.67977 | 0.226500 | ||||||||
\(56\) | −2.25729 | − | 1.38008i | −0.301644 | − | 0.184421i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.97509 | 1.17849 | ||||||||
\(59\) | −6.44805 | − | 11.1684i | −0.839465 | − | 1.45400i | −0.890343 | − | 0.455291i | \(-0.849535\pi\) |
0.0508779 | − | 0.998705i | \(-0.483798\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.04163 | + | 10.4644i | −0.773552 | + | 1.33983i | 0.162053 | + | 0.986782i | \(0.448188\pi\) |
−0.935605 | + | 0.353049i | \(0.885145\pi\) | |||||||
\(62\) | 0.514589 | 0.0653529 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.336285 | − | 0.582462i | 0.0417110 | − | 0.0722456i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.16012 | + | 2.00938i | 0.141731 | + | 0.245485i | 0.928148 | − | 0.372210i | \(-0.121400\pi\) |
−0.786418 | + | 0.617695i | \(0.788067\pi\) | |||||||
\(68\) | −3.73385 | −0.452796 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.07014 | − | 0.582462i | 0.127906 | − | 0.0696176i | ||||
\(71\) | −1.67977 | −0.199352 | −0.0996758 | − | 0.995020i | \(-0.531781\pi\) | ||||
−0.0996758 | + | 0.995020i | \(0.531781\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.62062 | + | 11.4673i | −0.774885 | + | 1.34214i | 0.159974 | + | 0.987121i | \(0.448859\pi\) |
−0.934859 | + | 0.355019i | \(0.884474\pi\) | |||||||
\(74\) | −9.10817 | −1.05880 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.02704 | + | 3.51094i | −0.232518 | + | 0.402732i | ||||
\(77\) | 8.23385 | + | 5.03407i | 0.938334 | + | 0.573685i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.50360 | − | 4.33636i | 0.281677 | − | 0.487879i | −0.690121 | − | 0.723694i | \(-0.742443\pi\) |
0.971798 | + | 0.235815i | \(0.0757761\pi\) | |||||||
\(80\) | −0.230252 | + | 0.398809i | −0.0257430 | + | 0.0445882i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.472958 | − | 0.819187i | −0.0522295 | − | 0.0904641i | ||||
\(83\) | −3.32383 | − | 5.75705i | −0.364838 | − | 0.631918i | 0.623912 | − | 0.781494i | \(-0.285542\pi\) |
−0.988750 | + | 0.149577i | \(0.952209\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.859728 | − | 1.48909i | 0.0932506 | − | 0.161515i | ||||
\(86\) | 9.32743 | 1.00580 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.64766 | −0.388842 | ||||||||
\(89\) | 1.36333 | + | 2.36135i | 0.144512 | + | 0.250303i | 0.929191 | − | 0.369600i | \(-0.120505\pi\) |
−0.784679 | + | 0.619903i | \(0.787172\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.39397 | − | 1.84730i | 0.355784 | − | 0.193649i | ||||
\(92\) | 0.566537 | + | 0.981271i | 0.0590656 | + | 0.102305i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.16372 | − | 2.01561i | −0.120028 | − | 0.207895i | ||||
\(95\) | −0.933463 | − | 1.61680i | −0.0957713 | − | 0.165881i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.59358 | − | 9.68836i | −0.567942 | − | 0.983704i | −0.996769 | − | 0.0803178i | \(-0.974406\pi\) |
0.428827 | − | 0.903386i | \(-0.358927\pi\) | |||||||
\(98\) | 6.99115 | + | 0.351971i | 0.706212 | + | 0.0355544i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.39397 | + | 4.14647i | 0.239397 | + | 0.414647i | ||||
\(101\) | −13.7558 | −1.36876 | −0.684378 | − | 0.729127i | \(-0.739926\pi\) | ||||
−0.684378 | + | 0.729127i | \(0.739926\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.1623 | 1.09985 | 0.549925 | − | 0.835214i | \(-0.314656\pi\) | ||||
0.549925 | + | 0.835214i | \(0.314656\pi\) | |||||||
\(104\) | −0.730252 | + | 1.26483i | −0.0716071 | + | 0.124027i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.21780 | + | 10.7695i | 0.603926 | + | 1.04603i | ||||
\(107\) | 3.89037 | + | 6.73832i | 0.376096 | + | 0.651418i | 0.990490 | − | 0.137581i | \(-0.0439329\pi\) |
−0.614394 | + | 0.788999i | \(0.710600\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.75729 | + | 6.50783i | −0.359884 | + | 0.623337i | −0.987941 | − | 0.154830i | \(-0.950517\pi\) |
0.628058 | + | 0.778167i | \(0.283850\pi\) | |||||||
\(110\) | 0.839883 | − | 1.45472i | 0.0800797 | − | 0.138702i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.32383 | + | 1.26483i | −0.219581 | + | 0.119516i | ||||
\(113\) | −3.03064 | + | 5.24922i | −0.285099 | + | 0.493805i | −0.972633 | − | 0.232346i | \(-0.925360\pi\) |
0.687534 | + | 0.726152i | \(0.258693\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.521786 | −0.0486568 | ||||||||
\(116\) | 4.48755 | − | 7.77266i | 0.416658 | − | 0.721673i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.8961 | −1.18718 | ||||||||
\(119\) | 8.67684 | − | 4.72270i | 0.795405 | − | 0.432929i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.30545 | 0.209586 | ||||||||
\(122\) | 6.04163 | + | 10.4644i | 0.546984 | + | 0.947403i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.257295 | − | 0.445647i | 0.0231057 | − | 0.0400203i | ||||
\(125\) | −4.50739 | −0.403153 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.80992 | 0.781754 | 0.390877 | − | 0.920443i | \(-0.372172\pi\) | ||||
0.390877 | + | 0.920443i | \(0.372172\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.336285 | − | 0.582462i | −0.0294941 | − | 0.0510853i | ||||
\(131\) | −21.1373 | −1.84678 | −0.923389 | − | 0.383865i | \(-0.874593\pi\) | ||||
−0.923389 | + | 0.383865i | \(0.874593\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.269748 | − | 10.7227i | 0.0233901 | − | 0.929777i | ||||
\(134\) | 2.32023 | 0.200438 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.86693 | + | 3.23361i | −0.160088 | + | 0.277280i | ||||
\(137\) | 4.40642 | 0.376466 | 0.188233 | − | 0.982124i | \(-0.439724\pi\) | ||||
0.188233 | + | 0.982124i | \(0.439724\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.01245 | + | 1.75362i | −0.0858751 | + | 0.148740i | −0.905764 | − | 0.423783i | \(-0.860702\pi\) |
0.819889 | + | 0.572523i | \(0.194035\pi\) | |||||||
\(140\) | 0.0306407 | − | 1.21800i | 0.00258961 | − | 0.102939i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.839883 | + | 1.45472i | −0.0704815 | + | 0.122077i | ||||
\(143\) | 2.66372 | − | 4.61369i | 0.222751 | − | 0.385816i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.06654 | + | 3.57935i | 0.171617 | + | 0.297249i | ||||
\(146\) | 6.62062 | + | 11.4673i | 0.547927 | + | 0.949037i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.55408 | + | 7.88791i | −0.374343 | + | 0.648382i | ||||
\(149\) | 9.16225 | 0.750601 | 0.375300 | − | 0.926903i | \(-0.377540\pi\) | ||||
0.375300 | + | 0.926903i | \(0.377540\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.103896 | −0.00845496 | −0.00422748 | − | 0.999991i | \(-0.501346\pi\) | ||||
−0.00422748 | + | 0.999991i | \(0.501346\pi\) | |||||||
\(152\) | 2.02704 | + | 3.51094i | 0.164415 | + | 0.284775i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 8.47656 | − | 4.61369i | 0.683060 | − | 0.371782i | ||||
\(155\) | 0.118485 | + | 0.205223i | 0.00951698 | + | 0.0164839i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.4911 | − | 18.1712i | −0.837285 | − | 1.45022i | −0.892157 | − | 0.451726i | \(-0.850808\pi\) |
0.0548721 | − | 0.998493i | \(-0.482525\pi\) | |||||||
\(158\) | −2.50360 | − | 4.33636i | −0.199176 | − | 0.344982i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.230252 | + | 0.398809i | 0.0182031 | + | 0.0315286i | ||||
\(161\) | −2.55768 | − | 1.56373i | −0.201574 | − | 0.123239i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.5182 | − | 19.9501i | −0.902174 | − | 1.56261i | −0.824666 | − | 0.565620i | \(-0.808637\pi\) |
−0.0775078 | − | 0.996992i | \(-0.524696\pi\) | |||||||
\(164\) | −0.945916 | −0.0738636 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.64766 | −0.515959 | ||||||||
\(167\) | 5.31498 | − | 9.20581i | 0.411285 | − | 0.712367i | −0.583745 | − | 0.811937i | \(-0.698413\pi\) |
0.995031 | + | 0.0995698i | \(0.0317467\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.43346 | + | 9.41103i | 0.417959 | + | 0.723926i | ||||
\(170\) | −0.859728 | − | 1.48909i | −0.0659382 | − | 0.114208i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.66372 | − | 8.07779i | 0.355605 | − | 0.615926i | ||||
\(173\) | 1.46936 | − | 2.54500i | 0.111713 | − | 0.193493i | −0.804748 | − | 0.593617i | \(-0.797699\pi\) |
0.916461 | + | 0.400124i | \(0.131033\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.8078 | − | 6.60773i | −0.816991 | − | 0.499498i | ||||
\(176\) | −1.82383 | + | 3.15897i | −0.137476 | + | 0.238116i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.72665 | 0.204371 | ||||||||
\(179\) | 4.58113 | − | 7.93474i | 0.342409 | − | 0.593071i | −0.642470 | − | 0.766311i | \(-0.722090\pi\) |
0.984880 | + | 0.173240i | \(0.0554237\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.4284 | 1.66709 | 0.833545 | − | 0.552452i | \(-0.186308\pi\) | ||||
0.833545 | + | 0.552452i | \(0.186308\pi\) | |||||||
\(182\) | 0.0971780 | − | 3.86291i | 0.00720331 | − | 0.286338i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.13307 | 0.0835314 | ||||||||
\(185\) | −2.09718 | − | 3.63242i | −0.154188 | − | 0.267061i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.80992 | − | 11.7951i | 0.497990 | − | 0.862545i | ||||
\(188\) | −2.32743 | −0.169745 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.86693 | −0.135441 | ||||||||
\(191\) | 1.24484 | − | 2.15613i | 0.0900736 | − | 0.156012i | −0.817468 | − | 0.575974i | \(-0.804623\pi\) |
0.907542 | + | 0.419962i | \(0.137956\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.24484 | − | 3.88818i | −0.161587 | − | 0.279877i | 0.773851 | − | 0.633368i | \(-0.218328\pi\) |
−0.935438 | + | 0.353491i | \(0.884995\pi\) | |||||||
\(194\) | −11.1872 | −0.803191 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.80039 | − | 5.87852i | 0.271456 | − | 0.419895i | ||||
\(197\) | −12.7339 | −0.907249 | −0.453625 | − | 0.891193i | \(-0.649869\pi\) | ||||
−0.453625 | + | 0.891193i | \(0.649869\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.47296 | + | 2.55124i | −0.104415 | + | 0.180852i | −0.913499 | − | 0.406841i | \(-0.866630\pi\) |
0.809084 | + | 0.587693i | \(0.199964\pi\) | |||||||
\(200\) | 4.78794 | 0.338558 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.87792 | + | 11.9129i | −0.483928 | + | 0.838189i | ||||
\(203\) | −0.597178 | + | 23.7384i | −0.0419137 | + | 1.66611i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.217799 | − | 0.377240i | 0.0152118 | − | 0.0263476i | ||||
\(206\) | 5.58113 | − | 9.66679i | 0.388855 | − | 0.673517i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.730252 | + | 1.26483i | 0.0506339 | + | 0.0877005i | ||||
\(209\) | −7.39397 | − | 12.8067i | −0.511451 | − | 0.885860i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.608168 | + | 1.05338i | −0.0418680 | + | 0.0725176i | −0.886200 | − | 0.463303i | \(-0.846664\pi\) |
0.844332 | + | 0.535820i | \(0.179998\pi\) | |||||||
\(212\) | 12.4356 | 0.854080 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.78074 | 0.531880 | ||||||||
\(215\) | 2.14766 | + | 3.71986i | 0.146469 | + | 0.253693i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.0342393 | + | 1.36104i | −0.00232432 | + | 0.0923937i | ||||
\(218\) | 3.75729 | + | 6.50783i | 0.254476 | + | 0.440766i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.839883 | − | 1.45472i | −0.0566249 | − | 0.0980773i | ||||
\(221\) | −2.72665 | − | 4.72270i | −0.183415 | − | 0.317683i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.445916 | − | 0.772349i | −0.0298607 | − | 0.0517203i | 0.850709 | − | 0.525637i | \(-0.176173\pi\) |
−0.880570 | + | 0.473917i | \(0.842840\pi\) | |||||||
\(224\) | −0.0665372 | + | 2.64491i | −0.00444571 | + | 0.176721i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.03064 | + | 5.24922i | 0.201595 | + | 0.349173i | ||||
\(227\) | 14.6519 | 0.972483 | 0.486242 | − | 0.873824i | \(-0.338368\pi\) | ||||
0.486242 | + | 0.873824i | \(0.338368\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.57587 | −0.632791 | −0.316396 | − | 0.948627i | \(-0.602473\pi\) | ||||
−0.316396 | + | 0.948627i | \(0.602473\pi\) | |||||||
\(230\) | −0.260893 | + | 0.451880i | −0.0172028 | + | 0.0297961i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.48755 | − | 7.77266i | −0.294622 | − | 0.510300i | ||||
\(233\) | −7.21420 | − | 12.4954i | −0.472618 | − | 0.818598i | 0.526891 | − | 0.849933i | \(-0.323358\pi\) |
−0.999509 | + | 0.0313345i | \(0.990024\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.535897 | − | 0.928200i | 0.0349580 | − | 0.0605491i | ||||
\(236\) | −6.44805 | + | 11.1684i | −0.419732 | + | 0.726998i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.248440 | − | 9.87572i | 0.0161040 | − | 0.640148i | ||||
\(239\) | 9.15486 | − | 15.8567i | 0.592179 | − | 1.02568i | −0.401760 | − | 0.915745i | \(-0.631601\pi\) |
0.993938 | − | 0.109938i | \(-0.0350654\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.0933847 | 0.00601544 | 0.00300772 | − | 0.999995i | \(-0.499043\pi\) | ||||
0.00300772 | + | 0.999995i | \(0.499043\pi\) | |||||||
\(242\) | 1.15272 | − | 1.99658i | 0.0741000 | − | 0.128345i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.0833 | 0.773552 | ||||||||
\(245\) | 1.46936 | + | 2.86917i | 0.0938739 | + | 0.183305i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.92101 | −0.376745 | ||||||||
\(248\) | −0.257295 | − | 0.445647i | −0.0163382 | − | 0.0282986i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.25370 | + | 3.90352i | −0.142536 | + | 0.246880i | ||||
\(251\) | 18.2733 | 1.15340 | 0.576702 | − | 0.816955i | \(-0.304339\pi\) | ||||
0.576702 | + | 0.816955i | \(0.304339\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.13307 | −0.259844 | ||||||||
\(254\) | 4.40496 | − | 7.62961i | 0.276392 | − | 0.478724i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 21.0512 | 1.31314 | 0.656568 | − | 0.754267i | \(-0.272008\pi\) | ||||
0.656568 | + | 0.754267i | \(0.272008\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.606032 | − | 24.0903i | 0.0376570 | − | 1.49690i | ||||
\(260\) | −0.672570 | −0.0417110 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.5687 | + | 18.3055i | −0.652935 | + | 1.13092i | ||||
\(263\) | 5.16518 | 0.318499 | 0.159249 | − | 0.987238i | \(-0.449093\pi\) | ||||
0.159249 | + | 0.987238i | \(0.449093\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.86333 | + | 4.95943i | −0.175893 | + | 0.304655i | ||||
\(266\) | −9.15126 | − | 5.59496i | −0.561100 | − | 0.343049i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.16012 | − | 2.00938i | 0.0708654 | − | 0.122742i | ||||
\(269\) | −8.42840 | + | 14.5984i | −0.513889 | + | 0.890081i | 0.485981 | + | 0.873969i | \(0.338462\pi\) |
−0.999870 | + | 0.0161123i | \(0.994871\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.5562 | + | 21.7480i | 0.762736 | + | 1.32110i | 0.941435 | + | 0.337194i | \(0.109478\pi\) |
−0.178699 | + | 0.983904i | \(0.557189\pi\) | |||||||
\(272\) | 1.86693 | + | 3.23361i | 0.113199 | + | 0.196066i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.20321 | − | 3.81607i | 0.133101 | − | 0.230537i | ||||
\(275\) | −17.4648 | −1.05317 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.38151 | 0.203176 | 0.101588 | − | 0.994827i | \(-0.467608\pi\) | ||||
0.101588 | + | 0.994827i | \(0.467608\pi\) | |||||||
\(278\) | 1.01245 | + | 1.75362i | 0.0607229 | + | 0.105175i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.03950 | − | 0.635534i | −0.0621217 | − | 0.0379804i | ||||
\(281\) | 10.1388 | + | 17.5609i | 0.604831 | + | 1.04760i | 0.992078 | + | 0.125622i | \(0.0400925\pi\) |
−0.387248 | + | 0.921976i | \(0.626574\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.67471 | − | 15.0250i | −0.515658 | − | 0.893145i | −0.999835 | − | 0.0181754i | \(-0.994214\pi\) |
0.484177 | − | 0.874970i | \(-0.339119\pi\) | |||||||
\(284\) | 0.839883 | + | 1.45472i | 0.0498379 | + | 0.0863218i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.66372 | − | 4.61369i | −0.157509 | − | 0.272813i | ||||
\(287\) | 2.19815 | − | 1.19643i | 0.129753 | − | 0.0706228i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.52918 | + | 2.64861i | 0.0899517 | + | 0.155801i | ||||
\(290\) | 4.13307 | 0.242702 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 13.2412 | 0.774885 | ||||||||
\(293\) | 4.93560 | − | 8.54871i | 0.288341 | − | 0.499421i | −0.685073 | − | 0.728474i | \(-0.740230\pi\) |
0.973414 | + | 0.229054i | \(0.0735631\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.96936 | − | 5.14308i | −0.172883 | − | 0.299442i | ||||
\(296\) | 4.55408 | + | 7.88791i | 0.264701 | + | 0.458475i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.58113 | − | 7.93474i | 0.265378 | − | 0.459647i | ||||
\(299\) | −0.827430 | + | 1.43315i | −0.0478515 | + | 0.0828813i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.620621 | + | 24.6703i | −0.0357720 | + | 1.42197i | ||||
\(302\) | −0.0519482 | + | 0.0899768i | −0.00298928 | + | 0.00517759i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.05408 | 0.232518 | ||||||||
\(305\) | −2.78220 | + | 4.81891i | −0.159308 | + | 0.275930i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.78794 | 0.444481 | 0.222240 | − | 0.974992i | \(-0.428663\pi\) | ||||
0.222240 | + | 0.974992i | \(0.428663\pi\) | |||||||
\(308\) | 0.242705 | − | 9.64776i | 0.0138294 | − | 0.549732i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.236971 | 0.0134590 | ||||||||
\(311\) | 7.70535 | + | 13.3461i | 0.436930 | + | 0.756785i | 0.997451 | − | 0.0713552i | \(-0.0227324\pi\) |
−0.560521 | + | 0.828140i | \(0.689399\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.24844 | + | 7.35851i | −0.240136 | + | 0.415928i | −0.960753 | − | 0.277406i | \(-0.910525\pi\) |
0.720617 | + | 0.693334i | \(0.243859\pi\) | |||||||
\(314\) | −20.9823 | −1.18410 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.00720 | −0.281677 | ||||||||
\(317\) | −7.05262 | + | 12.2155i | −0.396115 | + | 0.686091i | −0.993243 | − | 0.116055i | \(-0.962975\pi\) |
0.597128 | + | 0.802146i | \(0.296308\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.3691 | + | 28.3520i | 0.916491 | + | 1.58741i | ||||
\(320\) | 0.460505 | 0.0257430 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.63307 | + | 1.43315i | −0.146736 | + | 0.0798664i | ||||
\(323\) | −15.1373 | −0.842264 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.49640 | + | 6.05594i | −0.193945 | + | 0.335923i | ||||
\(326\) | −23.0364 | −1.27587 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.472958 | + | 0.819187i | −0.0261147 | + | 0.0452320i | ||||
\(329\) | 5.40856 | − | 2.94381i | 0.298183 | − | 0.162298i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.7719 | + | 23.8536i | −0.756971 | + | 1.31111i | 0.187417 | + | 0.982280i | \(0.439988\pi\) |
−0.944388 | + | 0.328832i | \(0.893345\pi\) | |||||||
\(332\) | −3.32383 | + | 5.75705i | −0.182419 | + | 0.315959i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.31498 | − | 9.20581i | −0.290823 | − | 0.503720i | ||||
\(335\) | 0.534239 | + | 0.925330i | 0.0291886 | + | 0.0505562i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.748440 | − | 1.29634i | 0.0407701 | − | 0.0706159i | −0.844920 | − | 0.534892i | \(-0.820352\pi\) |
0.885690 | + | 0.464276i | \(0.153686\pi\) | |||||||
\(338\) | 10.8669 | 0.591083 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.71946 | −0.0932506 | ||||||||
\(341\) | 0.938524 | + | 1.62557i | 0.0508239 | + | 0.0880296i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.39610 | + | 18.4676i | −0.0753825 | + | 0.997155i | ||||
\(344\) | −4.66372 | − | 8.07779i | −0.251451 | − | 0.435525i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.46936 | − | 2.54500i | −0.0789932 | − | 0.136820i | ||||
\(347\) | −9.14406 | − | 15.8380i | −0.490879 | − | 0.850228i | 0.509066 | − | 0.860728i | \(-0.329991\pi\) |
−0.999945 | + | 0.0105001i | \(0.996658\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.90136 | − | 6.75735i | −0.208835 | − | 0.361713i | 0.742513 | − | 0.669832i | \(-0.233634\pi\) |
−0.951348 | + | 0.308119i | \(0.900300\pi\) | |||||||
\(350\) | −11.1264 | + | 6.05594i | −0.594729 | + | 0.323704i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.82383 | + | 3.15897i | 0.0972106 | + | 0.168374i | ||||
\(353\) | −26.9253 | −1.43309 | −0.716544 | − | 0.697542i | \(-0.754277\pi\) | ||||
−0.716544 | + | 0.697542i | \(0.754277\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.773541 | −0.0410553 | ||||||||
\(356\) | 1.36333 | − | 2.36135i | 0.0722562 | − | 0.125151i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.58113 | − | 7.93474i | −0.242120 | − | 0.419364i | ||||
\(359\) | 3.13161 | + | 5.42411i | 0.165280 | + | 0.286274i | 0.936755 | − | 0.349987i | \(-0.113814\pi\) |
−0.771475 | + | 0.636260i | \(0.780481\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.28220 | − | 2.22084i | 0.0674842 | − | 0.116886i | ||||
\(362\) | 11.2142 | − | 19.4236i | 0.589405 | − | 1.02088i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.29679 | − | 2.01561i | −0.172799 | − | 0.105647i | ||||
\(365\) | −3.04883 | + | 5.28073i | −0.159583 | + | 0.276406i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 29.2733 | 1.52806 | 0.764028 | − | 0.645183i | \(-0.223219\pi\) | ||||
0.764028 | + | 0.645183i | \(0.223219\pi\) | |||||||
\(368\) | 0.566537 | − | 0.981271i | 0.0295328 | − | 0.0511523i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.19436 | −0.218054 | ||||||||
\(371\) | −28.8982 | + | 15.7290i | −1.50032 | + | 0.816608i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.8597 | 0.924742 | 0.462371 | − | 0.886687i | \(-0.346999\pi\) | ||||
0.462371 | + | 0.886687i | \(0.346999\pi\) | |||||||
\(374\) | −6.80992 | − | 11.7951i | −0.352132 | − | 0.609911i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.16372 | + | 2.01561i | −0.0600140 | + | 0.103947i | ||||
\(377\) | 13.1082 | 0.675105 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.4255 | −1.15192 | −0.575960 | − | 0.817478i | \(-0.695371\pi\) | ||||
−0.575960 | + | 0.817478i | \(0.695371\pi\) | |||||||
\(380\) | −0.933463 | + | 1.61680i | −0.0478856 | + | 0.0829403i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.24484 | − | 2.15613i | −0.0636916 | − | 0.110317i | ||||
\(383\) | 14.1403 | 0.722534 | 0.361267 | − | 0.932462i | \(-0.382344\pi\) | ||||
0.361267 | + | 0.932462i | \(0.382344\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.79173 | + | 2.31821i | 0.193244 | + | 0.118147i | ||||
\(386\) | −4.48968 | −0.228519 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.59358 | + | 9.68836i | −0.283971 | + | 0.491852i | ||||
\(389\) | 23.1301 | 1.17275 | 0.586373 | − | 0.810041i | \(-0.300555\pi\) | ||||
0.586373 | + | 0.810041i | \(0.300555\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.11537 | + | 3.66392i | −0.106979 | + | 0.185292i | ||||
\(392\) | −3.19076 | − | 6.23049i | −0.161158 | − | 0.314688i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.36693 | + | 11.0278i | −0.320761 | + | 0.555574i | ||||
\(395\) | 1.15292 | − | 1.99691i | 0.0580097 | − | 0.100476i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.13307 | − | 8.89075i | −0.257622 | − | 0.446214i | 0.707983 | − | 0.706230i | \(-0.249605\pi\) |
−0.965604 | + | 0.260016i | \(0.916272\pi\) | |||||||
\(398\) | 1.47296 | + | 2.55124i | 0.0738327 | + | 0.127882i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.39397 | − | 4.14647i | 0.119698 | − | 0.207324i | ||||
\(401\) | −34.0335 | −1.69955 | −0.849775 | − | 0.527146i | \(-0.823262\pi\) | ||||
−0.849775 | + | 0.527146i | \(0.823262\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.751560 | 0.0374379 | ||||||||
\(404\) | 6.87792 | + | 11.9129i | 0.342189 | + | 0.592689i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 20.2594 | + | 12.3863i | 1.00546 | + | 0.614724i | ||||
\(407\) | −16.6118 | − | 28.7724i | −0.823415 | − | 1.42620i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.74484 | + | 3.02215i | 0.0862769 | + | 0.149436i | 0.905935 | − | 0.423418i | \(-0.139170\pi\) |
−0.819658 | + | 0.572854i | \(0.805836\pi\) | |||||||
\(410\) | −0.217799 | − | 0.377240i | −0.0107563 | − | 0.0186305i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.58113 | − | 9.66679i | −0.274962 | − | 0.476249i | ||||
\(413\) | 0.858071 | − | 34.1091i | 0.0422229 | − | 1.67840i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.53064 | − | 2.65115i | −0.0751362 | − | 0.130140i | ||||
\(416\) | 1.46050 | 0.0716071 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −14.7879 | −0.723302 | ||||||||
\(419\) | −14.4897 | + | 25.0969i | −0.707867 | + | 1.22606i | 0.257779 | + | 0.966204i | \(0.417009\pi\) |
−0.965647 | + | 0.259858i | \(0.916324\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.06128 | − | 1.83819i | −0.0517237 | − | 0.0895881i | 0.839004 | − | 0.544125i | \(-0.183138\pi\) |
−0.890728 | + | 0.454537i | \(0.849805\pi\) | |||||||
\(422\) | 0.608168 | + | 1.05338i | 0.0296052 | + | 0.0512777i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.21780 | − | 10.7695i | 0.301963 | − | 0.523015i | ||||
\(425\) | −8.93872 | + | 15.4823i | −0.433592 | + | 0.751003i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −28.0795 | + | 15.2833i | −1.35886 | + | 0.739612i | ||||
\(428\) | 3.89037 | − | 6.73832i | 0.188048 | − | 0.325709i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.29533 | 0.207139 | ||||||||
\(431\) | −10.9356 | + | 18.9410i | −0.526749 | + | 0.912356i | 0.472765 | + | 0.881189i | \(0.343256\pi\) |
−0.999514 | + | 0.0311679i | \(0.990077\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.0512 | −0.627199 | −0.313599 | − | 0.949555i | \(-0.601535\pi\) | ||||
−0.313599 | + | 0.949555i | \(0.601535\pi\) | |||||||
\(434\) | 1.16158 | + | 0.710174i | 0.0557576 | + | 0.0340895i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.51459 | 0.359884 | ||||||||
\(437\) | 2.29679 | + | 3.97816i | 0.109870 | + | 0.190301i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.43200 | + | 4.21235i | −0.116073 | + | 0.201044i | −0.918208 | − | 0.396098i | \(-0.870364\pi\) |
0.802135 | + | 0.597143i | \(0.203697\pi\) | |||||||
\(440\) | −1.67977 | −0.0800797 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.45331 | −0.259387 | ||||||||
\(443\) | −5.76975 | + | 9.99350i | −0.274129 | + | 0.474805i | −0.969915 | − | 0.243444i | \(-0.921723\pi\) |
0.695786 | + | 0.718249i | \(0.255056\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.627819 | + | 1.08741i | 0.0297615 | + | 0.0515484i | ||||
\(446\) | −0.891832 | −0.0422294 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.25729 | + | 1.38008i | 0.106647 | + | 0.0652027i | ||||
\(449\) | 26.4251 | 1.24708 | 0.623538 | − | 0.781793i | \(-0.285694\pi\) | ||||
0.623538 | + | 0.781793i | \(0.285694\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.72519 | − | 2.98812i | 0.0812361 | − | 0.140705i | ||||
\(452\) | 6.06128 | 0.285099 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.32597 | − | 12.6889i | 0.343825 | − | 0.595522i | ||||
\(455\) | 1.56294 | − | 0.850689i | 0.0732717 | − | 0.0398809i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.86906 | − | 3.23731i | 0.0874310 | − | 0.151435i | −0.818994 | − | 0.573803i | \(-0.805468\pi\) |
0.906425 | + | 0.422368i | \(0.138801\pi\) | |||||||
\(458\) | −4.78794 | + | 8.29295i | −0.223726 | + | 0.387504i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.260893 | + | 0.451880i | 0.0121642 | + | 0.0210690i | ||||
\(461\) | 7.90496 | + | 13.6918i | 0.368171 | + | 0.637690i | 0.989280 | − | 0.146034i | \(-0.0466509\pi\) |
−0.621109 | + | 0.783724i | \(0.713318\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.1965 | − | 33.2493i | 0.892137 | − | 1.54523i | 0.0548278 | − | 0.998496i | \(-0.482539\pi\) |
0.837309 | − | 0.546730i | \(-0.184128\pi\) | |||||||
\(464\) | −8.97509 | −0.416658 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.4284 | −0.668383 | ||||||||
\(467\) | −3.15652 | − | 5.46725i | −0.146066 | − | 0.252994i | 0.783704 | − | 0.621134i | \(-0.213328\pi\) |
−0.929770 | + | 0.368140i | \(0.879995\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.154382 | + | 6.13682i | −0.00712869 | + | 0.283372i | ||||
\(470\) | −0.535897 | − | 0.928200i | −0.0247191 | − | 0.0428147i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.44805 | + | 11.1684i | 0.296796 | + | 0.514065i | ||||
\(473\) | 17.0117 | + | 29.4651i | 0.782197 | + | 1.35481i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.70535 | + | 16.8102i | 0.445312 | + | 0.771303i | ||||
\(476\) | −8.42840 | − | 5.15301i | −0.386315 | − | 0.236188i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.15486 | − | 15.8567i | −0.418734 | − | 0.725268i | ||||
\(479\) | 20.4136 | 0.932722 | 0.466361 | − | 0.884594i | \(-0.345565\pi\) | ||||
0.466361 | + | 0.884594i | \(0.345565\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.3025 | −0.606543 | ||||||||
\(482\) | 0.0466924 | − | 0.0808735i | 0.00212678 | − | 0.00368369i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.15272 | − | 1.99658i | −0.0523966 | − | 0.0907535i | ||||
\(485\) | −2.57587 | − | 4.46154i | −0.116964 | − | 0.202588i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.18190 | − | 10.7074i | 0.280129 | − | 0.485197i | −0.691287 | − | 0.722580i | \(-0.742956\pi\) |
0.971416 | + | 0.237383i | \(0.0762895\pi\) | |||||||
\(488\) | 6.04163 | − | 10.4644i | 0.273492 | − | 0.473702i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.21946 | + | 0.162084i | 0.145440 | + | 0.00732222i | ||||
\(491\) | −0.207004 | + | 0.358541i | −0.00934194 | + | 0.0161807i | −0.870659 | − | 0.491888i | \(-0.836307\pi\) |
0.861317 | + | 0.508069i | \(0.169640\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 33.5117 | 1.50929 | ||||||||
\(494\) | −2.96050 | + | 5.12774i | −0.133199 | + | 0.230708i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.514589 | −0.0231057 | ||||||||
\(497\) | −3.79173 | − | 2.31821i | −0.170082 | − | 0.103986i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.923935 | −0.0413610 | −0.0206805 | − | 0.999786i | \(-0.506583\pi\) | ||||
−0.0206805 | + | 0.999786i | \(0.506583\pi\) | |||||||
\(500\) | 2.25370 | + | 3.90352i | 0.100788 | + | 0.174571i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.13667 | − | 15.8252i | 0.407790 | − | 0.706312i | ||||
\(503\) | 23.8142 | 1.06182 | 0.530911 | − | 0.847428i | \(-0.321850\pi\) | ||||
0.530911 | + | 0.847428i | \(0.321850\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.33463 | −0.281887 | ||||||||
\(506\) | −2.06654 | + | 3.57935i | −0.0918688 | + | 0.159121i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.40496 | − | 7.62961i | −0.195438 | − | 0.338509i | ||||
\(509\) | 30.6342 | 1.35784 | 0.678919 | − | 0.734213i | \(-0.262449\pi\) | ||||
0.678919 | + | 0.734213i | \(0.262449\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −30.7704 | + | 16.7480i | −1.36120 | + | 0.740887i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.5256 | − | 18.2308i | 0.464263 | − | 0.804128i | ||||
\(515\) | 5.14027 | 0.226507 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.24484 | − | 7.35228i | 0.186688 | − | 0.323353i | ||||
\(518\) | −20.5598 | − | 12.5700i | −0.903347 | − | 0.552294i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.336285 | + | 0.582462i | −0.0147471 | + | 0.0255427i | ||||
\(521\) | 13.4518 | − | 23.2993i | 0.589336 | − | 1.02076i | −0.404984 | − | 0.914324i | \(-0.632723\pi\) |
0.994320 | − | 0.106436i | \(-0.0339439\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.85301 | − | 13.6018i | −0.343388 | − | 0.594766i | 0.641671 | − | 0.766980i | \(-0.278241\pi\) |
−0.985060 | + | 0.172214i | \(0.944908\pi\) | |||||||
\(524\) | 10.5687 | + | 18.3055i | 0.461695 | + | 0.799679i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.58259 | − | 4.47318i | 0.112606 | − | 0.195040i | ||||
\(527\) | 1.92140 | 0.0836975 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.7161 | −0.944180 | ||||||||
\(530\) | 2.86333 | + | 4.95943i | 0.124375 | + | 0.215424i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.42101 | + | 5.12774i | −0.408453 | + | 0.222316i | ||||
\(533\) | −0.690757 | − | 1.19643i | −0.0299200 | − | 0.0518230i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.79153 | + | 3.10303i | 0.0774548 | + | 0.134156i | ||||
\(536\) | −1.16012 | − | 2.00938i | −0.0501094 | − | 0.0867920i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 8.42840 | + | 14.5984i | 0.363374 | + | 0.629383i | ||||
\(539\) | 11.6388 | + | 22.7267i | 0.501319 | + | 0.978910i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.05934 | − | 3.56688i | −0.0885379 | − | 0.153352i | 0.818355 | − | 0.574713i | \(-0.194886\pi\) |
−0.906893 | + | 0.421360i | \(0.861553\pi\) | |||||||
\(542\) | 25.1124 | 1.07867 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.73385 | 0.160088 | ||||||||
\(545\) | −1.73025 | + | 2.99689i | −0.0741159 | + | 0.128372i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.8602 | − | 20.5425i | −0.507106 | − | 0.878333i | −0.999966 | − | 0.00822465i | \(-0.997382\pi\) |
0.492860 | − | 0.870108i | \(-0.335951\pi\) | |||||||
\(548\) | −2.20321 | − | 3.81607i | −0.0941165 | − | 0.163015i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.73239 | + | 15.1249i | −0.372350 | + | 0.644930i | ||||
\(551\) | 18.1929 | − | 31.5110i | 0.775043 | − | 1.34241i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.6359 | − | 6.33327i | 0.494808 | − | 0.269318i | ||||
\(554\) | 1.69076 | − | 2.92848i | 0.0718334 | − | 0.124419i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.02491 | 0.0858751 | ||||||||
\(557\) | 21.0313 | − | 36.4273i | 0.891125 | − | 1.54347i | 0.0525975 | − | 0.998616i | \(-0.483250\pi\) |
0.838528 | − | 0.544859i | \(-0.183417\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.6228 | 0.576181 | ||||||||
\(560\) | −1.07014 | + | 0.582462i | −0.0452215 | + | 0.0246135i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 20.2776 | 0.855360 | ||||||||
\(563\) | 5.91216 | + | 10.2402i | 0.249168 | + | 0.431571i | 0.963295 | − | 0.268445i | \(-0.0865097\pi\) |
−0.714127 | + | 0.700016i | \(0.753176\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.39562 | + | 2.41729i | −0.0587144 | + | 0.101696i | ||||
\(566\) | −17.3494 | −0.729250 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.67977 | 0.0704815 | ||||||||
\(569\) | 7.10078 | − | 12.2989i | 0.297680 | − | 0.515597i | −0.677925 | − | 0.735131i | \(-0.737120\pi\) |
0.975605 | + | 0.219534i | \(0.0704538\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.97869 | − | 10.3554i | −0.250200 | − | 0.433360i | 0.713380 | − | 0.700777i | \(-0.247163\pi\) |
−0.963581 | + | 0.267417i | \(0.913830\pi\) | |||||||
\(572\) | −5.32743 | −0.222751 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.0629386 | − | 2.50187i | 0.00262701 | − | 0.104426i | ||||
\(575\) | 5.42509 | 0.226242 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.3135 | − | 36.9161i | 0.887293 | − | 1.53684i | 0.0442307 | − | 0.999021i | \(-0.485916\pi\) |
0.843062 | − | 0.537816i | \(-0.180750\pi\) | |||||||
\(578\) | 3.05836 | 0.127211 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.06654 | − | 3.57935i | 0.0858083 | − | 0.148624i | ||||
\(581\) | 0.442317 | − | 17.5825i | 0.0183504 | − | 0.729445i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.6804 | + | 39.2837i | −0.939328 | + | 1.62696i | ||||
\(584\) | 6.62062 | − | 11.4673i | 0.273963 | − | 0.474518i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.93560 | − | 8.54871i | −0.203888 | − | 0.353144i | ||||
\(587\) | −20.5328 | − | 35.5638i | −0.847478 | − | 1.46788i | −0.883451 | − | 0.468523i | \(-0.844786\pi\) |
0.0359730 | − | 0.999353i | \(-0.488547\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.04309 | − | 1.80669i | 0.0429799 | − | 0.0744434i | ||||
\(590\) | −5.93872 | −0.244493 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.10817 | 0.374343 | ||||||||
\(593\) | −16.1008 | − | 27.8874i | −0.661180 | − | 1.14520i | −0.980306 | − | 0.197485i | \(-0.936723\pi\) |
0.319126 | − | 0.947712i | \(-0.396611\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.99573 | − | 2.17483i | 0.163809 | − | 0.0891592i | ||||
\(596\) | −4.58113 | − | 7.93474i | −0.187650 | − | 0.325020i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.827430 | + | 1.43315i | 0.0338361 | + | 0.0586059i | ||||
\(599\) | 9.53590 | + | 16.5167i | 0.389626 | + | 0.674852i | 0.992399 | − | 0.123060i | \(-0.0392709\pi\) |
−0.602773 | + | 0.797913i | \(0.705938\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.27188 | + | 7.39912i | 0.174254 | + | 0.301816i | 0.939903 | − | 0.341442i | \(-0.110915\pi\) |
−0.765649 | + | 0.643259i | \(0.777582\pi\) | |||||||
\(602\) | 21.0548 | + | 12.8726i | 0.858128 | + | 0.524648i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0519482 | + | 0.0899768i | 0.00211374 | + | 0.00366111i | ||||
\(605\) | 1.06167 | 0.0431631 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 38.0115 | 1.54284 | 0.771419 | − | 0.636328i | \(-0.219547\pi\) | ||||
0.771419 | + | 0.636328i | \(0.219547\pi\) | |||||||
\(608\) | 2.02704 | − | 3.51094i | 0.0822074 | − | 0.142387i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.78220 | + | 4.81891i | 0.112648 | + | 0.195112i | ||||
\(611\) | −1.69961 | − | 2.94381i | −0.0687589 | − | 0.119094i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.3296 | − | 19.6234i | 0.457597 | − | 0.792581i | −0.541237 | − | 0.840870i | \(-0.682044\pi\) |
0.998833 | + | 0.0482894i | \(0.0153770\pi\) | |||||||
\(614\) | 3.89397 | − | 6.74455i | 0.157148 | − | 0.272188i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.23385 | − | 5.03407i | −0.331751 | − | 0.202828i | ||||
\(617\) | 10.1388 | − | 17.5609i | 0.408173 | − | 0.706977i | −0.586512 | − | 0.809941i | \(-0.699499\pi\) |
0.994685 | + | 0.102964i | \(0.0328327\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.06128 | 0.0828499 | 0.0414249 | − | 0.999142i | \(-0.486810\pi\) | ||||
0.0414249 | + | 0.999142i | \(0.486810\pi\) | |||||||
\(620\) | 0.118485 | − | 0.205223i | 0.00475849 | − | 0.00824194i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.4107 | 0.617912 | ||||||||
\(623\) | −0.181424 | + | 7.21177i | −0.00726860 | + | 0.288933i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.8640 | 0.874560 | ||||||||
\(626\) | 4.24844 | + | 7.35851i | 0.169802 | + | 0.294105i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.4911 | + | 18.1712i | −0.418642 | + | 0.725110i | ||||
\(629\) | −34.0085 | −1.35601 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.63715 | 0.0651740 | 0.0325870 | − | 0.999469i | \(-0.489625\pi\) | ||||
0.0325870 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(632\) | −2.50360 | + | 4.33636i | −0.0995878 | + | 0.172491i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.05262 | + | 12.2155i | 0.280095 | + | 0.485139i | ||||
\(635\) | 4.05701 | 0.160998 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.2106 | + | 0.514055i | 0.404559 | + | 0.0203676i | ||||
\(638\) | 32.7381 | 1.29611 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.230252 | − | 0.398809i | 0.00910153 | − | 0.0157643i | ||||
\(641\) | −21.9325 | −0.866281 | −0.433140 | − | 0.901326i | \(-0.642595\pi\) | ||||
−0.433140 | + | 0.901326i | \(0.642595\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.1819 | + | 24.5638i | −0.559280 | + | 0.968701i | 0.438277 | + | 0.898840i | \(0.355589\pi\) |
−0.997557 | + | 0.0698609i | \(0.977744\pi\) | |||||||
\(644\) | −0.0753916 | + | 2.99689i | −0.00297085 | + | 0.118094i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.56867 | + | 13.1093i | −0.297785 | + | 0.515780i | ||||
\(647\) | −17.3904 | + | 30.1210i | −0.683686 | + | 1.18418i | 0.290162 | + | 0.956978i | \(0.406291\pi\) |
−0.973848 | + | 0.227201i | \(0.927042\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.5203 | − | 40.7384i | −0.923253 | − | 1.59912i | ||||
\(650\) | 3.49640 | + | 6.05594i | 0.137140 | + | 0.237534i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.5182 | + | 19.9501i | −0.451087 | + | 0.781306i | ||||
\(653\) | 3.19863 | 0.125172 | 0.0625860 | − | 0.998040i | \(-0.480065\pi\) | ||||
0.0625860 | + | 0.998040i | \(0.480065\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.73385 | −0.380333 | ||||||||
\(656\) | 0.472958 | + | 0.819187i | 0.0184659 | + | 0.0319839i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.154861 | − | 6.15585i | 0.00603710 | − | 0.239980i | ||||
\(659\) | −5.30418 | − | 9.18711i | −0.206622 | − | 0.357879i | 0.744027 | − | 0.668150i | \(-0.232914\pi\) |
−0.950648 | + | 0.310271i | \(0.899580\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.06507 | − | 8.77297i | −0.197009 | − | 0.341229i | 0.750549 | − | 0.660815i | \(-0.229789\pi\) |
−0.947557 | + | 0.319586i | \(0.896456\pi\) | |||||||
\(662\) | 13.7719 | + | 23.8536i | 0.535259 | + | 0.927097i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.32383 | + | 5.75705i | 0.128990 | + | 0.223417i | ||||
\(665\) | 0.124220 | − | 4.93786i | 0.00481705 | − | 0.191482i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.08472 | − | 8.80700i | −0.196881 | − | 0.341008i | ||||
\(668\) | −10.6300 | −0.411285 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.06848 | 0.0412789 | ||||||||
\(671\) | −22.0378 | + | 38.1707i | −0.850761 | + | 1.47356i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.60817 | + | 2.78543i | 0.0619903 | + | 0.107370i | 0.895355 | − | 0.445353i | \(-0.146922\pi\) |
−0.833365 | + | 0.552724i | \(0.813589\pi\) | |||||||
\(674\) | −0.748440 | − | 1.29634i | −0.0288288 | − | 0.0499330i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.43346 | − | 9.41103i | 0.208979 | − | 0.361963i | ||||
\(677\) | −14.6819 | + | 25.4298i | −0.564271 | + | 0.977347i | 0.432846 | + | 0.901468i | \(0.357509\pi\) |
−0.997117 | + | 0.0758786i | \(0.975824\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.744363 | − | 29.5891i | 0.0285660 | − | 1.13552i | ||||
\(680\) | −0.859728 | + | 1.48909i | −0.0329691 | + | 0.0571041i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.87705 | 0.0718759 | ||||||||
\(683\) | −12.6278 | + | 21.8720i | −0.483190 | + | 0.836910i | −0.999814 | − | 0.0193029i | \(-0.993855\pi\) |
0.516624 | + | 0.856213i | \(0.327189\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.02918 | 0.0775309 | ||||||||
\(686\) | 15.2953 | + | 10.4428i | 0.583978 | + | 0.398710i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −9.32743 | −0.355605 | ||||||||
\(689\) | 9.08113 | + | 15.7290i | 0.345963 | + | 0.599226i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.68190 | − | 13.3054i | 0.292233 | − | 0.506163i | −0.682104 | − | 0.731255i | \(-0.738935\pi\) |
0.974338 | + | 0.225092i | \(0.0722683\pi\) | |||||||
\(692\) | −2.93872 | −0.111713 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.2881 | −0.694208 | ||||||||
\(695\) | −0.466240 | + | 0.807551i | −0.0176855 | + | 0.0306321i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.76595 | − | 3.05872i | −0.0668903 | − | 0.115857i | ||||
\(698\) | −7.80272 | −0.295337 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.318576 | + | 12.6637i | −0.0120410 | + | 0.478642i | ||||
\(701\) | 13.3700 | 0.504980 | 0.252490 | − | 0.967600i | \(-0.418751\pi\) | ||||
0.252490 | + | 0.967600i | \(0.418751\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −18.4626 | + | 31.9782i | −0.696332 | + | 1.20608i | ||||
\(704\) | 3.64766 | 0.137476 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.4626 | + | 23.3180i | −0.506673 | + | 0.877584i | ||||
\(707\) | −31.0510 | − | 18.9842i | −1.16779 | − | 0.713972i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.562939 | − | 0.975038i | 0.0211416 | − | 0.0366183i | −0.855261 | − | 0.518197i | \(-0.826603\pi\) |
0.876403 | + | 0.481579i | \(0.159937\pi\) | |||||||
\(710\) | −0.386770 | + | 0.669906i | −0.0145152 | + | 0.0251411i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.36333 | − | 2.36135i | −0.0510928 | − | 0.0884954i | ||||
\(713\) | −0.291534 | − | 0.504951i | −0.0109180 | − | 0.0189106i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.22665 | − | 2.12463i | 0.0458743 | − | 0.0794565i | ||||
\(716\) | −9.16225 | −0.342409 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.26322 | 0.233741 | ||||||||
\(719\) | −9.13667 | − | 15.8252i | −0.340740 | − | 0.590180i | 0.643830 | − | 0.765169i | \(-0.277344\pi\) |
−0.984570 | + | 0.174989i | \(0.944011\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 25.1965 | + | 15.4048i | 0.938366 | + | 0.573705i | ||||
\(722\) | −1.28220 | − | 2.22084i | −0.0477186 | − | 0.0826510i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.2142 | − | 19.4236i | −0.416772 | − | 0.721871i | ||||
\(725\) | −21.4861 | − | 37.2150i | −0.797973 | − | 1.38213i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.8478 | − | 25.7171i | −0.550673 | − | 0.953793i | −0.998226 | − | 0.0595359i | \(-0.981038\pi\) |
0.447553 | − | 0.894257i | \(-0.352295\pi\) | |||||||
\(728\) | −3.39397 | + | 1.84730i | −0.125789 | + | 0.0684654i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.04883 | + | 5.28073i | 0.112842 | + | 0.195448i | ||||
\(731\) | 34.8272 | 1.28813 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.2278 | 0.710195 | 0.355098 | − | 0.934829i | \(-0.384448\pi\) | ||||
0.355098 | + | 0.934829i | \(0.384448\pi\) | |||||||
\(734\) | 14.6367 | − | 25.3515i | 0.540249 | − | 0.935740i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.566537 | − | 0.981271i | −0.0208828 | − | 0.0361701i | ||||
\(737\) | 4.23171 | + | 7.32955i | 0.155877 | + | 0.269987i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1336 | + | 26.2121i | −0.556697 | + | 0.964227i | 0.441073 | + | 0.897471i | \(0.354598\pi\) |
−0.997769 | + | 0.0667556i | \(0.978735\pi\) | |||||||
\(740\) | −2.09718 | + | 3.63242i | −0.0770938 | + | 0.133530i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.827430 | + | 32.8911i | −0.0303759 | + | 1.20747i | ||||
\(743\) | 11.8815 | − | 20.5794i | 0.435890 | − | 0.754984i | −0.561477 | − | 0.827492i | \(-0.689767\pi\) |
0.997368 | + | 0.0725076i | \(0.0231002\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.21926 | 0.154582 | ||||||||
\(746\) | 8.92986 | − | 15.4670i | 0.326946 | − | 0.566286i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −13.6198 | −0.497990 | ||||||||
\(749\) | −0.517709 | + | 20.5794i | −0.0189167 | + | 0.751954i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.6683 | 0.462273 | 0.231136 | − | 0.972921i | \(-0.425756\pi\) | ||||
0.231136 | + | 0.972921i | \(0.425756\pi\) | |||||||
\(752\) | 1.16372 | + | 2.01561i | 0.0424363 | + | 0.0735019i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.55408 | − | 11.3520i | 0.238686 | − | 0.413416i | ||||
\(755\) | −0.0478448 | −0.00174125 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.0799 | −1.05693 | −0.528464 | − | 0.848955i | \(-0.677232\pi\) | ||||
−0.528464 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(758\) | −11.2127 | + | 19.4210i | −0.407265 | + | 0.705404i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.933463 | + | 1.61680i | 0.0338603 | + | 0.0586477i | ||||
\(761\) | −29.2029 | −1.05860 | −0.529302 | − | 0.848433i | \(-0.677546\pi\) | ||||
−0.529302 | + | 0.848433i | \(0.677546\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.4626 | + | 9.50471i | −0.632190 | + | 0.344094i | ||||
\(764\) | −2.48968 | −0.0900736 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.07014 | − | 12.2458i | 0.255454 | − | 0.442460i | ||||
\(767\) | −18.8348 | −0.680086 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.5869 | − | 21.8011i | 0.453894 | − | 0.786167i | −0.544730 | − | 0.838611i | \(-0.683368\pi\) |
0.998624 | + | 0.0524443i | \(0.0167012\pi\) | |||||||
\(770\) | 3.90350 | − | 2.12463i | 0.140672 | − | 0.0765662i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.24484 | + | 3.88818i | −0.0807936 | + | 0.139939i | ||||
\(773\) | 0.752039 | − | 1.30257i | 0.0270490 | − | 0.0468502i | −0.852184 | − | 0.523242i | \(-0.824722\pi\) |
0.879233 | + | 0.476392i | \(0.158056\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.23191 | − | 2.13373i | −0.0442515 | − | 0.0766458i | ||||
\(776\) | 5.59358 | + | 9.68836i | 0.200798 | + | 0.347792i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.5651 | − | 20.0313i | 0.414628 | − | 0.718157i | ||||
\(779\) | −3.83482 | −0.137397 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.12722 | −0.219249 | ||||||||
\(782\) | 2.11537 | + | 3.66392i | 0.0756453 | + | 0.131022i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.99115 |