Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [975,2,Mod(724,975)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(975, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("975.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 975 = 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 975.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: | \(7.78541419707\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.1731891456.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 9x^{6} + 65x^{4} - 144x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 874.1 | ||
Root | \(-2.21837 + 1.28078i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 975.874 |
Dual form | 975.2.bb.i.724.1 |
$q$-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 \(\left(\mathbb{Z}/975\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.21837 | + | 1.28078i | −1.56862 | + | 0.905646i | −0.572295 | + | 0.820048i | \(0.693947\pi\) |
−0.996330 | + | 0.0855975i | \(0.972720\pi\) | |||||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | 2.28078 | − | 3.95042i | 1.14039 | − | 1.97521i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.28078 | + | 2.21837i | −0.522875 | + | 0.905646i | ||||
\(7\) | −3.08440 | − | 1.78078i | −1.16579 | − | 0.673070i | −0.213107 | − | 0.977029i | \(-0.568358\pi\) |
−0.952685 | + | 0.303959i | \(0.901692\pi\) | |||||||
\(8\) | 6.56155i | 2.31986i | ||||||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | + | 1.73205i | 0.301511 | + | 0.522233i | 0.976478 | − | 0.215615i | \(-0.0691756\pi\) |
−0.674967 | + | 0.737848i | \(0.735842\pi\) | |||||||
\(12\) | − | 4.56155i | − | 1.31681i | ||||||
\(13\) | −3.57071 | + | 0.500000i | −0.990338 | + | 0.138675i | ||||
\(14\) | 9.12311 | 2.43825 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.84233 | − | 6.65511i | −0.960582 | − | 1.66378i | ||||
\(17\) | 2.21837 | + | 1.28078i | 0.538034 | + | 0.310634i | 0.744282 | − | 0.667866i | \(-0.232792\pi\) |
−0.206248 | + | 0.978500i | \(0.566125\pi\) | |||||||
\(18\) | 2.56155i | 0.603764i | ||||||||
\(19\) | −0.561553 | + | 0.972638i | −0.128829 | + | 0.223138i | −0.923223 | − | 0.384264i | \(-0.874455\pi\) |
0.794394 | + | 0.607403i | \(0.207789\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.56155 | −0.777195 | ||||||||
\(22\) | −4.43674 | − | 2.56155i | −0.945916 | − | 0.546125i | ||||
\(23\) | 1.73205 | − | 1.00000i | 0.361158 | − | 0.208514i | −0.308431 | − | 0.951247i | \(-0.599804\pi\) |
0.669588 | + | 0.742732i | \(0.266471\pi\) | |||||||
\(24\) | 3.28078 | + | 5.68247i | 0.669686 | + | 1.15993i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 7.28078 | − | 5.68247i | 1.42788 | − | 1.11442i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −14.0696 | + | 8.12311i | −2.65891 | + | 1.53512i | ||||
\(29\) | −2.84233 | − | 4.92306i | −0.527807 | − | 0.914189i | −0.999475 | − | 0.0324124i | \(-0.989681\pi\) |
0.471667 | − | 0.881777i | \(-0.343652\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.56155 | −0.280463 | −0.140232 | − | 0.990119i | \(-0.544785\pi\) | ||||
−0.140232 | + | 0.990119i | \(0.544785\pi\) | |||||||
\(32\) | 5.68247 | + | 3.28078i | 1.00453 | + | 0.579965i | ||||
\(33\) | 1.73205 | + | 1.00000i | 0.301511 | + | 0.174078i | ||||
\(34\) | −6.56155 | −1.12530 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.28078 | − | 3.95042i | −0.380129 | − | 0.658403i | ||||
\(37\) | −2.97778 | + | 1.71922i | −0.489544 | + | 0.282639i | −0.724385 | − | 0.689395i | \(-0.757876\pi\) |
0.234841 | + | 0.972034i | \(0.424543\pi\) | |||||||
\(38\) | − | 2.87689i | − | 0.466694i | ||||||
\(39\) | −2.84233 | + | 2.21837i | −0.455137 | + | 0.355223i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.28078 | − | 2.21837i | −0.200024 | − | 0.346451i | 0.748512 | − | 0.663121i | \(-0.230769\pi\) |
−0.948536 | + | 0.316670i | \(0.897435\pi\) | |||||||
\(42\) | 7.90084 | − | 4.56155i | 1.21913 | − | 0.703863i | ||||
\(43\) | −0.379706 | − | 0.219224i | −0.0579047 | − | 0.0334313i | 0.470768 | − | 0.882257i | \(-0.343977\pi\) |
−0.528673 | + | 0.848826i | \(0.677310\pi\) | |||||||
\(44\) | 9.12311 | 1.37536 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.56155 | + | 4.43674i | −0.377680 | + | 0.654162i | ||||
\(47\) | 8.24621i | 1.20283i | 0.798935 | + | 0.601417i | \(0.205397\pi\) | ||||
−0.798935 | + | 0.601417i | \(0.794603\pi\) | |||||||
\(48\) | −6.65511 | − | 3.84233i | −0.960582 | − | 0.554592i | ||||
\(49\) | 2.84233 | + | 4.92306i | 0.406047 | + | 0.703294i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.56155 | 0.358689 | ||||||||
\(52\) | −6.16879 | + | 15.2462i | −0.855457 | + | 2.11427i | ||||
\(53\) | 11.6847i | 1.60501i | 0.596645 | + | 0.802506i | \(0.296500\pi\) | ||||
−0.596645 | + | 0.802506i | \(0.703500\pi\) | |||||||
\(54\) | 1.28078 | + | 2.21837i | 0.174292 | + | 0.301882i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 11.6847 | − | 20.2384i | 1.56143 | − | 2.70447i | ||||
\(57\) | 1.12311i | 0.148759i | ||||||||
\(58\) | 12.6107 | + | 7.28078i | 1.65586 | + | 0.956013i | ||||
\(59\) | −5.56155 | + | 9.63289i | −0.724053 | + | 1.25410i | 0.235310 | + | 0.971920i | \(0.424389\pi\) |
−0.959363 | + | 0.282175i | \(0.908944\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.06155 | + | 10.4989i | −0.776102 | + | 1.34425i | 0.158071 | + | 0.987428i | \(0.449473\pi\) |
−0.934173 | + | 0.356821i | \(0.883861\pi\) | |||||||
\(62\) | 3.46410 | − | 2.00000i | 0.439941 | − | 0.254000i | ||||
\(63\) | −3.08440 | + | 1.78078i | −0.388597 | + | 0.224357i | ||||
\(64\) | −1.43845 | −0.179806 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −5.12311 | −0.630611 | ||||||||
\(67\) | −0.379706 | + | 0.219224i | −0.0463885 | + | 0.0267824i | −0.523015 | − | 0.852324i | \(-0.675193\pi\) |
0.476626 | + | 0.879106i | \(0.341859\pi\) | |||||||
\(68\) | 10.1192 | − | 5.84233i | 1.22713 | − | 0.708486i | ||||
\(69\) | 1.00000 | − | 1.73205i | 0.120386 | − | 0.208514i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.00000 | + | 12.1244i | −0.830747 | + | 1.43890i | 0.0666994 | + | 0.997773i | \(0.478753\pi\) |
−0.897447 | + | 0.441123i | \(0.854580\pi\) | |||||||
\(72\) | 5.68247 | + | 3.28078i | 0.669686 | + | 0.386643i | ||||
\(73\) | − | 1.87689i | − | 0.219674i | −0.993950 | − | 0.109837i | \(-0.964967\pi\) | ||
0.993950 | − | 0.109837i | \(-0.0350329\pi\) | |||||||
\(74\) | 4.40388 | − | 7.62775i | 0.511941 | − | 0.886708i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.56155 | + | 4.43674i | 0.293830 | + | 0.508929i | ||||
\(77\) | − | 7.12311i | − | 0.811753i | ||||||
\(78\) | 3.46410 | − | 8.56155i | 0.392232 | − | 0.969405i | ||||
\(79\) | −9.56155 | −1.07576 | −0.537879 | − | 0.843022i | \(-0.680774\pi\) | ||||
−0.537879 | + | 0.843022i | \(0.680774\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 5.68247 | + | 3.28078i | 0.627524 | + | 0.362301i | ||||
\(83\) | − | 9.12311i | − | 1.00139i | −0.865624 | − | 0.500695i | \(-0.833078\pi\) | ||
0.865624 | − | 0.500695i | \(-0.166922\pi\) | |||||||
\(84\) | −8.12311 | + | 14.0696i | −0.886303 | + | 1.53512i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.12311 | 0.121108 | ||||||||
\(87\) | −4.92306 | − | 2.84233i | −0.527807 | − | 0.304730i | ||||
\(88\) | −11.3649 | + | 6.56155i | −1.21151 | + | 0.699464i | ||||
\(89\) | 6.56155 | + | 11.3649i | 0.695523 | + | 1.20468i | 0.970004 | + | 0.243089i | \(0.0781607\pi\) |
−0.274481 | + | 0.961593i | \(0.588506\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.9039 | + | 4.81645i | 1.24787 | + | 0.504901i | ||||
\(92\) | − | 9.12311i | − | 0.951150i | ||||||
\(93\) | −1.35234 | + | 0.780776i | −0.140232 | + | 0.0809627i | ||||
\(94\) | −10.5616 | − | 18.2931i | −1.08934 | − | 1.88679i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 6.56155 | 0.669686 | ||||||||
\(97\) | −3.84381 | − | 2.21922i | −0.390280 | − | 0.225328i | 0.292002 | − | 0.956418i | \(-0.405679\pi\) |
−0.682281 | + | 0.731090i | \(0.739012\pi\) | |||||||
\(98\) | −12.6107 | − | 7.28078i | −1.27387 | − | 0.735469i | ||||
\(99\) | 2.00000 | 0.201008 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.71922 | + | 2.97778i | 0.171069 | + | 0.296300i | 0.938794 | − | 0.344479i | \(-0.111945\pi\) |
−0.767725 | + | 0.640780i | \(0.778611\pi\) | |||||||
\(102\) | −5.68247 | + | 3.28078i | −0.562649 | + | 0.324845i | ||||
\(103\) | − | 7.56155i | − | 0.745062i | −0.928020 | − | 0.372531i | \(-0.878490\pi\) | ||
0.928020 | − | 0.372531i | \(-0.121510\pi\) | |||||||
\(104\) | −3.28078 | − | 23.4294i | −0.321707 | − | 2.29744i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −14.9654 | − | 25.9209i | −1.45357 | − | 2.51766i | ||||
\(107\) | −7.14143 | + | 4.12311i | −0.690388 | + | 0.398596i | −0.803757 | − | 0.594957i | \(-0.797169\pi\) |
0.113369 | + | 0.993553i | \(0.463836\pi\) | |||||||
\(108\) | −3.95042 | − | 2.28078i | −0.380129 | − | 0.219468i | ||||
\(109\) | −17.8078 | −1.70567 | −0.852837 | − | 0.522177i | \(-0.825120\pi\) | ||||
−0.852837 | + | 0.522177i | \(0.825120\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.71922 | + | 2.97778i | −0.163181 | + | 0.282639i | ||||
\(112\) | 27.3693i | 2.58616i | ||||||||
\(113\) | 12.8239 | + | 7.40388i | 1.20637 | + | 0.696499i | 0.961965 | − | 0.273174i | \(-0.0880736\pi\) |
0.244406 | + | 0.969673i | \(0.421407\pi\) | |||||||
\(114\) | −1.43845 | − | 2.49146i | −0.134723 | − | 0.233347i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −25.9309 | −2.40762 | ||||||||
\(117\) | −1.35234 | + | 3.34233i | −0.125024 | + | 0.308998i | ||||
\(118\) | − | 28.4924i | − | 2.62294i | ||||||
\(119\) | −4.56155 | − | 7.90084i | −0.418157 | − | 0.724269i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | − | 31.0540i | − | 2.81149i | ||||||
\(123\) | −2.21837 | − | 1.28078i | −0.200024 | − | 0.115484i | ||||
\(124\) | −3.56155 | + | 6.16879i | −0.319837 | + | 0.553974i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 4.56155 | − | 7.90084i | 0.406375 | − | 0.703863i | ||||
\(127\) | −8.28055 | + | 4.78078i | −0.734780 | + | 0.424225i | −0.820168 | − | 0.572122i | \(-0.806120\pi\) |
0.0853884 | + | 0.996348i | \(0.472787\pi\) | |||||||
\(128\) | −8.17394 | + | 4.71922i | −0.722481 | + | 0.417124i | ||||
\(129\) | −0.438447 | −0.0386031 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −17.3693 | −1.51756 | −0.758782 | − | 0.651345i | \(-0.774205\pi\) | ||||
−0.758782 | + | 0.651345i | \(0.774205\pi\) | |||||||
\(132\) | 7.90084 | − | 4.56155i | 0.687680 | − | 0.397032i | ||||
\(133\) | 3.46410 | − | 2.00000i | 0.300376 | − | 0.173422i | ||||
\(134\) | 0.561553 | − | 0.972638i | 0.0485108 | − | 0.0840231i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.40388 | + | 14.5560i | −0.720627 | + | 1.24816i | ||||
\(137\) | −1.24573 | − | 0.719224i | −0.106430 | − | 0.0614474i | 0.445840 | − | 0.895113i | \(-0.352905\pi\) |
−0.552270 | + | 0.833665i | \(0.686238\pi\) | |||||||
\(138\) | 5.12311i | 0.436108i | ||||||||
\(139\) | 5.46543 | − | 9.46641i | 0.463572 | − | 0.802930i | −0.535564 | − | 0.844495i | \(-0.679901\pi\) |
0.999136 | + | 0.0415643i | \(0.0132342\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.12311 | + | 7.14143i | 0.347228 | + | 0.601417i | ||||
\(142\) | − | 35.8617i | − | 3.00945i | ||||||
\(143\) | −4.43674 | − | 5.68466i | −0.371019 | − | 0.475375i | ||||
\(144\) | −7.68466 | −0.640388 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 2.40388 | + | 4.16365i | 0.198947 | + | 0.344586i | ||||
\(147\) | 4.92306 | + | 2.84233i | 0.406047 | + | 0.234431i | ||||
\(148\) | 15.6847i | 1.28927i | ||||||||
\(149\) | −3.28078 | + | 5.68247i | −0.268772 | + | 0.465526i | −0.968545 | − | 0.248839i | \(-0.919951\pi\) |
0.699773 | + | 0.714365i | \(0.253284\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.3693 | 1.25074 | 0.625369 | − | 0.780329i | \(-0.284949\pi\) | ||||
0.625369 | + | 0.780329i | \(0.284949\pi\) | |||||||
\(152\) | −6.38202 | − | 3.68466i | −0.517650 | − | 0.298865i | ||||
\(153\) | 2.21837 | − | 1.28078i | 0.179345 | − | 0.103545i | ||||
\(154\) | 9.12311 | + | 15.8017i | 0.735161 | + | 1.27334i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.28078 | + | 16.2880i | 0.182608 | + | 1.30408i | ||||
\(157\) | 4.36932i | 0.348709i | 0.984683 | + | 0.174355i | \(0.0557839\pi\) | ||||
−0.984683 | + | 0.174355i | \(0.944216\pi\) | |||||||
\(158\) | 21.2111 | − | 12.2462i | 1.68746 | − | 0.974256i | ||||
\(159\) | 5.84233 | + | 10.1192i | 0.463327 | + | 0.802506i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.12311 | −0.561379 | ||||||||
\(162\) | 2.21837 | + | 1.28078i | 0.174292 | + | 0.100627i | ||||
\(163\) | −13.6899 | − | 7.90388i | −1.07228 | − | 0.619080i | −0.143475 | − | 0.989654i | \(-0.545828\pi\) |
−0.928803 | + | 0.370574i | \(0.879161\pi\) | |||||||
\(164\) | −11.6847 | −0.912419 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.6847 | + | 20.2384i | 0.906905 | + | 1.57081i | ||||
\(167\) | 5.40938 | − | 3.12311i | 0.418590 | − | 0.241673i | −0.275884 | − | 0.961191i | \(-0.588970\pi\) |
0.694474 | + | 0.719518i | \(0.255637\pi\) | |||||||
\(168\) | − | 23.3693i | − | 1.80298i | ||||||
\(169\) | 12.5000 | − | 3.57071i | 0.961538 | − | 0.274670i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.561553 | + | 0.972638i | 0.0429430 | + | 0.0743795i | ||||
\(172\) | −1.73205 | + | 1.00000i | −0.132068 | + | 0.0762493i | ||||
\(173\) | −3.25088 | − | 1.87689i | −0.247160 | − | 0.142698i | 0.371303 | − | 0.928512i | \(-0.378911\pi\) |
−0.618463 | + | 0.785814i | \(0.712244\pi\) | |||||||
\(174\) | 14.5616 | 1.10391 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 7.68466 | − | 13.3102i | 0.579253 | − | 1.00330i | ||||
\(177\) | 11.1231i | 0.836064i | ||||||||
\(178\) | −29.1119 | − | 16.8078i | −2.18203 | − | 1.25980i | ||||
\(179\) | −6.56155 | − | 11.3649i | −0.490433 | − | 0.849456i | 0.509506 | − | 0.860467i | \(-0.329828\pi\) |
−0.999939 | + | 0.0110115i | \(0.996495\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.68466 | 0.719855 | 0.359927 | − | 0.932980i | \(-0.382801\pi\) | ||||
0.359927 | + | 0.932980i | \(0.382801\pi\) | |||||||
\(182\) | −32.5760 | + | 4.56155i | −2.41469 | + | 0.338125i | ||||
\(183\) | 12.1231i | 0.896166i | ||||||||
\(184\) | 6.56155 | + | 11.3649i | 0.483724 | + | 0.837835i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.00000 | − | 3.46410i | 0.146647 | − | 0.254000i | ||||
\(187\) | 5.12311i | 0.374639i | ||||||||
\(188\) | 32.5760 | + | 18.8078i | 2.37585 | + | 1.37170i | ||||
\(189\) | −1.78078 | + | 3.08440i | −0.129532 | + | 0.224357i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.438447 | − | 0.759413i | 0.0317249 | − | 0.0549492i | −0.849727 | − | 0.527223i | \(-0.823233\pi\) |
0.881452 | + | 0.472274i | \(0.156567\pi\) | |||||||
\(192\) | −1.24573 | + | 0.719224i | −0.0899029 | + | 0.0519055i | ||||
\(193\) | 16.8809 | − | 9.74621i | 1.21512 | − | 0.701548i | 0.251247 | − | 0.967923i | \(-0.419159\pi\) |
0.963869 | + | 0.266375i | \(0.0858261\pi\) | |||||||
\(194\) | 11.3693 | 0.816269 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 25.9309 | 1.85220 | ||||||||
\(197\) | 9.84612 | − | 5.68466i | 0.701507 | − | 0.405015i | −0.106402 | − | 0.994323i | \(-0.533933\pi\) |
0.807908 | + | 0.589308i | \(0.200600\pi\) | |||||||
\(198\) | −4.43674 | + | 2.56155i | −0.315305 | + | 0.182042i | ||||
\(199\) | −11.5885 | + | 20.0719i | −0.821490 | + | 1.42286i | 0.0830828 | + | 0.996543i | \(0.473523\pi\) |
−0.904573 | + | 0.426320i | \(0.859810\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.219224 | + | 0.379706i | −0.0154628 | + | 0.0267824i | ||||
\(202\) | −7.62775 | − | 4.40388i | −0.536686 | − | 0.309856i | ||||
\(203\) | 20.2462i | 1.42101i | ||||||||
\(204\) | 5.84233 | − | 10.1192i | 0.409045 | − | 0.708486i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 9.68466 | + | 16.7743i | 0.674762 | + | 1.16872i | ||||
\(207\) | − | 2.00000i | − | 0.139010i | ||||||
\(208\) | 17.0474 | + | 21.8423i | 1.18203 | + | 1.51449i | ||||
\(209\) | −2.24621 | −0.155374 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.65767 | − | 6.33527i | −0.251804 | − | 0.436138i | 0.712218 | − | 0.701958i | \(-0.247691\pi\) |
−0.964023 | + | 0.265820i | \(0.914357\pi\) | |||||||
\(212\) | 46.1593 | + | 26.6501i | 3.17023 | + | 1.83034i | ||||
\(213\) | 14.0000i | 0.959264i | ||||||||
\(214\) | 10.5616 | − | 18.2931i | 0.721973 | − | 1.25049i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 6.56155 | 0.446457 | ||||||||
\(217\) | 4.81645 | + | 2.78078i | 0.326962 | + | 0.188771i | ||||
\(218\) | 39.5042 | − | 22.8078i | 2.67556 | − | 1.54474i | ||||
\(219\) | −0.938447 | − | 1.62544i | −0.0634144 | − | 0.109837i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.56155 | − | 3.46410i | −0.575912 | − | 0.233021i | ||||
\(222\) | − | 8.80776i | − | 0.591138i | ||||||
\(223\) | 6.92820 | − | 4.00000i | 0.463947 | − | 0.267860i | −0.249756 | − | 0.968309i | \(-0.580350\pi\) |
0.713702 | + | 0.700449i | \(0.247017\pi\) | |||||||
\(224\) | −11.6847 | − | 20.2384i | −0.780714 | − | 1.35224i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −37.9309 | −2.52312 | ||||||||
\(227\) | −0.972638 | − | 0.561553i | −0.0645563 | − | 0.0372716i | 0.467374 | − | 0.884059i | \(-0.345200\pi\) |
−0.531931 | + | 0.846788i | \(0.678533\pi\) | |||||||
\(228\) | 4.43674 | + | 2.56155i | 0.293830 | + | 0.169643i | ||||
\(229\) | −0.246211 | −0.0162701 | −0.00813505 | − | 0.999967i | \(-0.502589\pi\) | ||||
−0.00813505 | + | 0.999967i | \(0.502589\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.56155 | − | 6.16879i | −0.234333 | − | 0.405877i | ||||
\(232\) | 32.3029 | − | 18.6501i | 2.12079 | − | 1.22444i | ||||
\(233\) | 26.0000i | 1.70332i | 0.524097 | + | 0.851658i | \(0.324403\pi\) | ||||
−0.524097 | + | 0.851658i | \(0.675597\pi\) | |||||||
\(234\) | −1.28078 | − | 9.14657i | −0.0837270 | − | 0.597930i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 25.3693 | + | 43.9409i | 1.65140 | + | 2.86031i | ||||
\(237\) | −8.28055 | + | 4.78078i | −0.537879 | + | 0.310545i | ||||
\(238\) | 20.2384 | + | 11.6847i | 1.31186 | + | 0.757404i | ||||
\(239\) | 0.630683 | 0.0407955 | 0.0203977 | − | 0.999792i | \(-0.493507\pi\) | ||||
0.0203977 | + | 0.999792i | \(0.493507\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.40388 | + | 2.43160i | −0.0904320 | + | 0.156633i | −0.907693 | − | 0.419635i | \(-0.862158\pi\) |
0.817261 | + | 0.576268i | \(0.195491\pi\) | |||||||
\(242\) | 17.9309i | 1.15264i | ||||||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 27.6501 | + | 47.8914i | 1.77012 | + | 3.06593i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.56155 | 0.418349 | ||||||||
\(247\) | 1.51883 | − | 3.75379i | 0.0966406 | − | 0.238848i | ||||
\(248\) | − | 10.2462i | − | 0.650635i | ||||||
\(249\) | −4.56155 | − | 7.90084i | −0.289077 | − | 0.500695i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.3693 | − | 26.6204i | 0.970103 | − | 1.68027i | 0.274871 | − | 0.961481i | \(-0.411365\pi\) |
0.695231 | − | 0.718786i | \(-0.255302\pi\) | |||||||
\(252\) | 16.2462i | 1.02342i | ||||||||
\(253\) | 3.46410 | + | 2.00000i | 0.217786 | + | 0.125739i | ||||
\(254\) | 12.2462 | − | 21.2111i | 0.768396 | − | 1.33090i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.5270 | − | 23.4294i | 0.845437 | − | 1.46434i | ||||
\(257\) | 14.0098 | − | 8.08854i | 0.873905 | − | 0.504549i | 0.00526106 | − | 0.999986i | \(-0.498325\pi\) |
0.868644 | + | 0.495437i | \(0.164992\pi\) | |||||||
\(258\) | 0.972638 | − | 0.561553i | 0.0605538 | − | 0.0349608i | ||||
\(259\) | 12.2462 | 0.760943 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.68466 | −0.351872 | ||||||||
\(262\) | 38.5316 | − | 22.2462i | 2.38049 | − | 1.37438i | ||||
\(263\) | −13.3102 | + | 7.68466i | −0.820743 | + | 0.473856i | −0.850673 | − | 0.525696i | \(-0.823805\pi\) |
0.0299295 | + | 0.999552i | \(0.490472\pi\) | |||||||
\(264\) | −6.56155 | + | 11.3649i | −0.403836 | + | 0.699464i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.12311 | + | 8.87348i | −0.314118 | + | 0.544068i | ||||
\(267\) | 11.3649 | + | 6.56155i | 0.695523 | + | 0.401561i | ||||
\(268\) | 2.00000i | 0.122169i | ||||||||
\(269\) | 1.68466 | − | 2.91791i | 0.102715 | − | 0.177908i | −0.810087 | − | 0.586310i | \(-0.800580\pi\) |
0.912803 | + | 0.408401i | \(0.133914\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.534565 | + | 0.925894i | 0.0324725 | + | 0.0562441i | 0.881805 | − | 0.471614i | \(-0.156329\pi\) |
−0.849332 | + | 0.527858i | \(0.822995\pi\) | |||||||
\(272\) | − | 19.6847i | − | 1.19356i | ||||||
\(273\) | 12.7173 | − | 1.78078i | 0.769685 | − | 0.107777i | ||||
\(274\) | 3.68466 | 0.222598 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.56155 | − | 7.90084i | −0.274573 | − | 0.475575i | ||||
\(277\) | 15.3154 | + | 8.84233i | 0.920211 | + | 0.531284i | 0.883702 | − | 0.468049i | \(-0.155043\pi\) |
0.0365086 | + | 0.999333i | \(0.488376\pi\) | |||||||
\(278\) | 28.0000i | 1.67933i | ||||||||
\(279\) | −0.780776 | + | 1.35234i | −0.0467439 | + | 0.0809627i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.80776 | −0.167497 | −0.0837486 | − | 0.996487i | \(-0.526689\pi\) | ||||
−0.0837486 | + | 0.996487i | \(0.526689\pi\) | |||||||
\(282\) | −18.2931 | − | 10.5616i | −1.08934 | − | 0.628931i | ||||
\(283\) | −1.13912 | + | 0.657671i | −0.0677136 | + | 0.0390945i | −0.533475 | − | 0.845816i | \(-0.679114\pi\) |
0.465761 | + | 0.884911i | \(0.345781\pi\) | |||||||
\(284\) | 31.9309 | + | 55.3059i | 1.89475 | + | 3.28180i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 17.1231 | + | 6.92820i | 1.01251 | + | 0.409673i | ||||
\(287\) | 9.12311i | 0.538520i | ||||||||
\(288\) | 5.68247 | − | 3.28078i | 0.334843 | − | 0.193322i | ||||
\(289\) | −5.21922 | − | 9.03996i | −0.307013 | − | 0.531762i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.43845 | −0.260186 | ||||||||
\(292\) | −7.41452 | − | 4.28078i | −0.433902 | − | 0.250513i | ||||
\(293\) | −21.2709 | − | 12.2808i | −1.24266 | − | 0.717451i | −0.273026 | − | 0.962007i | \(-0.588024\pi\) |
−0.969635 | + | 0.244556i | \(0.921358\pi\) | |||||||
\(294\) | −14.5616 | −0.849247 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −11.2808 | − | 19.5389i | −0.655682 | − | 1.13567i | ||||
\(297\) | 1.73205 | − | 1.00000i | 0.100504 | − | 0.0580259i | ||||
\(298\) | − | 16.8078i | − | 0.973648i | ||||||
\(299\) | −5.68466 | + | 4.43674i | −0.328752 | + | 0.256583i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.780776 | + | 1.35234i | 0.0450032 | + | 0.0779478i | ||||
\(302\) | −34.0948 | + | 19.6847i | −1.96194 | + | 1.13272i | ||||
\(303\) | 2.97778 | + | 1.71922i | 0.171069 | + | 0.0987668i | ||||
\(304\) | 8.63068 | 0.495004 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −3.28078 | + | 5.68247i | −0.187550 | + | 0.324845i | ||||
\(307\) | − | 10.1922i | − | 0.581702i | −0.956768 | − | 0.290851i | \(-0.906062\pi\) | ||
0.956768 | − | 0.290851i | \(-0.0939383\pi\) | |||||||
\(308\) | −28.1393 | − | 16.2462i | −1.60338 | − | 0.925714i | ||||
\(309\) | −3.78078 | − | 6.54850i | −0.215081 | − | 0.372531i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.8769 | −0.616772 | −0.308386 | − | 0.951261i | \(-0.599789\pi\) | ||||
−0.308386 | + | 0.951261i | \(0.599789\pi\) | |||||||
\(312\) | −14.5560 | − | 18.6501i | −0.824068 | − | 1.05585i | ||||
\(313\) | − | 1.31534i | − | 0.0743475i | −0.999309 | − | 0.0371738i | \(-0.988165\pi\) | ||
0.999309 | − | 0.0371738i | \(-0.0118355\pi\) | |||||||
\(314\) | −5.59612 | − | 9.69276i | −0.315807 | − | 0.546994i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.8078 | + | 37.7722i | −1.22678 | + | 2.12485i | ||||
\(317\) | 23.0540i | 1.29484i | 0.762133 | + | 0.647420i | \(0.224152\pi\) | ||||
−0.762133 | + | 0.647420i | \(0.775848\pi\) | |||||||
\(318\) | −25.9209 | − | 14.9654i | −1.45357 | − | 0.839220i | ||||
\(319\) | 5.68466 | − | 9.84612i | 0.318280 | − | 0.551277i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.12311 | + | 7.14143i | −0.230129 | + | 0.398596i | ||||
\(322\) | 15.8017 | − | 9.12311i | 0.880593 | − | 0.508411i | ||||
\(323\) | −2.49146 | + | 1.43845i | −0.138629 | + | 0.0800373i | ||||
\(324\) | −4.56155 | −0.253420 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 40.4924 | 2.24267 | ||||||||
\(327\) | −15.4220 | + | 8.90388i | −0.852837 | + | 0.492386i | ||||
\(328\) | 14.5560 | − | 8.40388i | 0.803718 | − | 0.464027i | ||||
\(329\) | 14.6847 | − | 25.4346i | 0.809591 | − | 1.40225i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.9039 | − | 20.6181i | 0.654297 | − | 1.13327i | −0.327773 | − | 0.944756i | \(-0.606298\pi\) |
0.982070 | − | 0.188518i | \(-0.0603685\pi\) | |||||||
\(332\) | −36.0401 | − | 20.8078i | −1.97796 | − | 1.14197i | ||||
\(333\) | 3.43845i | 0.188426i | ||||||||
\(334\) | −8.00000 | + | 13.8564i | −0.437741 | + | 0.758189i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 13.6847 | + | 23.7025i | 0.746559 | + | 1.29308i | ||||
\(337\) | − | 2.12311i | − | 0.115653i | −0.998327 | − | 0.0578265i | \(-0.981583\pi\) | ||
0.998327 | − | 0.0578265i | \(-0.0184170\pi\) | |||||||
\(338\) | −23.1563 | + | 23.9309i | −1.25954 | + | 1.30167i | ||||
\(339\) | 14.8078 | 0.804247 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.56155 | − | 2.70469i | −0.0845628 | − | 0.146467i | ||||
\(342\) | −2.49146 | − | 1.43845i | −0.134723 | − | 0.0777823i | ||||
\(343\) | 4.68466i | 0.252948i | ||||||||
\(344\) | 1.43845 | − | 2.49146i | 0.0775559 | − | 0.134331i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.61553 | 0.516934 | ||||||||
\(347\) | −11.7914 | − | 6.80776i | −0.632995 | − | 0.365460i | 0.148916 | − | 0.988850i | \(-0.452422\pi\) |
−0.781911 | + | 0.623390i | \(0.785755\pi\) | |||||||
\(348\) | −22.4568 | + | 12.9654i | −1.20381 | + | 0.695020i | ||||
\(349\) | −6.90388 | − | 11.9579i | −0.369556 | − | 0.640090i | 0.619940 | − | 0.784649i | \(-0.287157\pi\) |
−0.989496 | + | 0.144559i | \(0.953824\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.500000 | + | 3.57071i | 0.0266880 | + | 0.190591i | ||||
\(352\) | 13.1231i | 0.699464i | ||||||||
\(353\) | 15.3154 | − | 8.84233i | 0.815155 | − | 0.470630i | −0.0335881 | − | 0.999436i | \(-0.510693\pi\) |
0.848743 | + | 0.528806i | \(0.177360\pi\) | |||||||
\(354\) | −14.2462 | − | 24.6752i | −0.757178 | − | 1.31147i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 59.8617 | 3.17267 | ||||||||
\(357\) | −7.90084 | − | 4.56155i | −0.418157 | − | 0.241423i | ||||
\(358\) | 29.1119 | + | 16.8078i | 1.53861 | + | 0.888318i | ||||
\(359\) | −15.3693 | −0.811162 | −0.405581 | − | 0.914059i | \(-0.632931\pi\) | ||||
−0.405581 | + | 0.914059i | \(0.632931\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.86932 | + | 15.3621i | 0.466806 | + | 0.808532i | ||||
\(362\) | −21.4842 | + | 12.4039i | −1.12918 | + | 0.651934i | ||||
\(363\) | − | 7.00000i | − | 0.367405i | ||||||
\(364\) | 46.1771 | − | 36.0401i | 2.42034 | − | 1.88901i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −15.5270 | − | 26.8935i | −0.811609 | − | 1.40575i | ||||
\(367\) | −17.3673 | + | 10.0270i | −0.906563 | + | 0.523404i | −0.879324 | − | 0.476224i | \(-0.842005\pi\) |
−0.0272394 | + | 0.999629i | \(0.508672\pi\) | |||||||
\(368\) | −13.3102 | − | 7.68466i | −0.693843 | − | 0.400591i | ||||
\(369\) | −2.56155 | −0.133349 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 20.8078 | − | 36.0401i | 1.08029 | − | 1.87111i | ||||
\(372\) | 7.12311i | 0.369316i | ||||||||
\(373\) | −3.14426 | − | 1.81534i | −0.162804 | − | 0.0939948i | 0.416384 | − | 0.909189i | \(-0.363297\pi\) |
−0.579188 | + | 0.815194i | \(0.696630\pi\) | |||||||
\(374\) | −6.56155 | − | 11.3649i | −0.339290 | − | 0.587667i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −54.1080 | −2.79040 | ||||||||
\(377\) | 12.6107 | + | 16.1577i | 0.649483 | + | 0.832162i | ||||
\(378\) | − | 9.12311i | − | 0.469242i | ||||||
\(379\) | 5.65767 | + | 9.79937i | 0.290615 | + | 0.503360i | 0.973955 | − | 0.226740i | \(-0.0728068\pi\) |
−0.683340 | + | 0.730100i | \(0.739473\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.78078 | + | 8.28055i | −0.244927 | + | 0.424225i | ||||
\(382\) | 2.24621i | 0.114926i | ||||||||
\(383\) | −23.1563 | − | 13.3693i | −1.18323 | − | 0.683140i | −0.226473 | − | 0.974017i | \(-0.572720\pi\) |
−0.956760 | + | 0.290877i | \(0.906053\pi\) | |||||||
\(384\) | −4.71922 | + | 8.17394i | −0.240827 | + | 0.417124i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −24.9654 | + | 43.2414i | −1.27071 | + | 2.20093i | ||||
\(387\) | −0.379706 | + | 0.219224i | −0.0193016 | + | 0.0111438i | ||||
\(388\) | −17.5337 | + | 10.1231i | −0.890140 | + | 0.513923i | ||||
\(389\) | 3.05398 | 0.154843 | 0.0774213 | − | 0.996998i | \(-0.475331\pi\) | ||||
0.0774213 | + | 0.996998i | \(0.475331\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.12311 | 0.259087 | ||||||||
\(392\) | −32.3029 | + | 18.6501i | −1.63154 | + | 0.941972i | ||||
\(393\) | −15.0423 | + | 8.68466i | −0.758782 | + | 0.438083i | ||||
\(394\) | −14.5616 | + | 25.2213i | −0.733600 | + | 1.27063i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 4.56155 | − | 7.90084i | 0.229227 | − | 0.397032i | ||||
\(397\) | −10.4390 | − | 6.02699i | −0.523921 | − | 0.302486i | 0.214617 | − | 0.976698i | \(-0.431150\pi\) |
−0.738537 | + | 0.674213i | \(0.764483\pi\) | |||||||
\(398\) | − | 59.3693i | − | 2.97591i | ||||||
\(399\) | 2.00000 | − | 3.46410i | 0.100125 | − | 0.173422i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.28078 | − | 16.0748i | −0.463460 | − | 0.802736i | 0.535671 | − | 0.844427i | \(-0.320059\pi\) |
−0.999131 | + | 0.0416909i | \(0.986726\pi\) | |||||||
\(402\) | − | 1.12311i | − | 0.0560154i | ||||||
\(403\) | 5.57586 | − | 0.780776i | 0.277753 | − | 0.0388932i | ||||
\(404\) | 15.6847 | 0.780341 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −25.9309 | − | 44.9136i | −1.28693 | − | 2.22902i | ||||
\(407\) | −5.95557 | − | 3.43845i | −0.295206 | − | 0.170437i | ||||
\(408\) | 16.8078i | 0.832108i | ||||||||
\(409\) | −9.18466 | + | 15.9083i | −0.454152 | + | 0.786615i | −0.998639 | − | 0.0521548i | \(-0.983391\pi\) |
0.544487 | + | 0.838769i | \(0.316724\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.43845 | −0.0709534 | ||||||||
\(412\) | −29.8713 | − | 17.2462i | −1.47165 | − | 0.849660i | ||||
\(413\) | 34.3081 | − | 19.8078i | 1.68819 | − | 0.974676i | ||||
\(414\) | 2.56155 | + | 4.43674i | 0.125893 | + | 0.218054i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −21.9309 | − | 8.87348i | −1.07525 | − | 0.435058i | ||||
\(417\) | − | 10.9309i | − | 0.535287i | ||||||
\(418\) | 4.98293 | − | 2.87689i | 0.243723 | − | 0.140714i | ||||
\(419\) | −8.87689 | − | 15.3752i | −0.433665 | − | 0.751129i | 0.563521 | − | 0.826102i | \(-0.309446\pi\) |
−0.997186 | + | 0.0749725i | \(0.976113\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.7538 | 0.719056 | 0.359528 | − | 0.933134i | \(-0.382938\pi\) | ||||
0.359528 | + | 0.933134i | \(0.382938\pi\) | |||||||
\(422\) | 16.2281 | + | 9.36932i | 0.789973 | + | 0.456091i | ||||
\(423\) | 7.14143 | + | 4.12311i | 0.347228 | + | 0.200472i | ||||
\(424\) | −76.6695 | −3.72340 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −17.9309 | − | 31.0572i | −0.868753 | − | 1.50473i | ||||
\(427\) | 37.3924 | − | 21.5885i | 1.80955 | − | 1.04474i | ||||
\(428\) | 37.6155i | 1.81822i | ||||||||
\(429\) | −6.68466 | − | 2.70469i | −0.322738 | − | 0.130584i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.43845 | + | 2.49146i | 0.0692876 | + | 0.120010i | 0.898588 | − | 0.438794i | \(-0.144594\pi\) |
−0.829300 | + | 0.558803i | \(0.811261\pi\) | |||||||
\(432\) | −6.65511 | + | 3.84233i | −0.320194 | + | 0.184864i | ||||
\(433\) | −21.8639 | − | 12.6231i | −1.05071 | − | 0.606628i | −0.127862 | − | 0.991792i | \(-0.540811\pi\) |
−0.922848 | + | 0.385164i | \(0.874145\pi\) | |||||||
\(434\) | −14.2462 | −0.683840 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −40.6155 | + | 70.3482i | −1.94513 | + | 3.36907i | ||||
\(437\) | 2.24621i | 0.107451i | ||||||||
\(438\) | 4.16365 | + | 2.40388i | 0.198947 | + | 0.114862i | ||||
\(439\) | −0.657671 | − | 1.13912i | −0.0313889 | − | 0.0543672i | 0.849904 | − | 0.526937i | \(-0.176660\pi\) |
−0.881293 | + | 0.472570i | \(0.843326\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.68466 | 0.270698 | ||||||||
\(442\) | 23.4294 | − | 3.28078i | 1.11442 | − | 0.156051i | ||||
\(443\) | 14.7386i | 0.700254i | 0.936702 | + | 0.350127i | \(0.113862\pi\) | ||||
−0.936702 | + | 0.350127i | \(0.886138\pi\) | |||||||
\(444\) | 7.84233 | + | 13.5833i | 0.372180 | + | 0.644635i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −10.2462 | + | 17.7470i | −0.485172 | + | 0.840343i | ||||
\(447\) | 6.56155i | 0.310351i | ||||||||
\(448\) | 4.43674 | + | 2.56155i | 0.209616 | + | 0.121022i | ||||
\(449\) | 4.12311 | − | 7.14143i | 0.194581 | − | 0.337025i | −0.752182 | − | 0.658956i | \(-0.770998\pi\) |
0.946763 | + | 0.321931i | \(0.104332\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.56155 | − | 4.43674i | 0.120619 | − | 0.208918i | ||||
\(452\) | 58.4969 | − | 33.7732i | 2.75146 | − | 1.58856i | ||||
\(453\) | 13.3102 | − | 7.68466i | 0.625369 | − | 0.361057i | ||||
\(454\) | 2.87689 | 0.135019 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.36932 | −0.345100 | ||||||||
\(457\) | 24.7818 | − | 14.3078i | 1.15924 | − | 0.669289i | 0.208120 | − | 0.978103i | \(-0.433265\pi\) |
0.951122 | + | 0.308814i | \(0.0999322\pi\) | |||||||
\(458\) | 0.546188 | − | 0.315342i | 0.0255217 | − | 0.0147349i | ||||
\(459\) | 1.28078 | − | 2.21837i | 0.0597815 | − | 0.103545i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 18.4039 | − | 31.8765i | 0.857154 | − | 1.48463i | −0.0174778 | − | 0.999847i | \(-0.505564\pi\) |
0.874632 | − | 0.484787i | \(-0.161103\pi\) | |||||||
\(462\) | 15.8017 | + | 9.12311i | 0.735161 | + | 0.424445i | ||||
\(463\) | − | 26.6847i | − | 1.24014i | −0.784546 | − | 0.620071i | \(-0.787104\pi\) | ||
0.784546 | − | 0.620071i | \(-0.212896\pi\) | |||||||
\(464\) | −21.8423 | + | 37.8320i | −1.01400 | + | 1.75631i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −33.3002 | − | 57.6776i | −1.54260 | − | 2.67186i | ||||
\(467\) | 26.0000i | 1.20314i | 0.798821 | + | 0.601568i | \(0.205457\pi\) | ||||
−0.798821 | + | 0.601568i | \(0.794543\pi\) | |||||||
\(468\) | 10.1192 | + | 12.9654i | 0.467761 | + | 0.599327i | ||||
\(469\) | 1.56155 | 0.0721058 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.18466 | + | 3.78394i | 0.100664 | + | 0.174355i | ||||
\(472\) | −63.2067 | − | 36.4924i | −2.90933 | − | 1.67970i | ||||
\(473\) | − | 0.876894i | − | 0.0403196i | ||||||
\(474\) | 12.2462 | − | 21.2111i | 0.562487 | − | 0.974256i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −41.6155 | −1.90744 | ||||||||
\(477\) | 10.1192 | + | 5.84233i | 0.463327 | + | 0.267502i | ||||
\(478\) | −1.39909 | + | 0.807764i | −0.0639928 | + | 0.0369463i | ||||
\(479\) | −3.12311 | − | 5.40938i | −0.142698 | − | 0.247161i | 0.785814 | − | 0.618463i | \(-0.212245\pi\) |
−0.928512 | + | 0.371303i | \(0.878911\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.77320 | − | 7.62775i | 0.445620 | − | 0.347795i | ||||
\(482\) | − | 7.19224i | − | 0.327597i | ||||||
\(483\) | −6.16879 | + | 3.56155i | −0.280690 | + | 0.162056i | ||||
\(484\) | −15.9654 | − | 27.6529i | −0.725702 | − | 1.25695i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 2.56155 | 0.116194 | ||||||||
\(487\) | −0.972638 | − | 0.561553i | −0.0440744 | − | 0.0254464i | 0.477801 | − | 0.878468i | \(-0.341434\pi\) |
−0.521875 | + | 0.853022i | \(0.674767\pi\) | |||||||
\(488\) | −68.8892 | − | 39.7732i | −3.11847 | − | 1.80045i | ||||
\(489\) | −15.8078 | −0.714852 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.87689 | + | 17.1073i | 0.445738 | + | 0.772041i | 0.998103 | − | 0.0615613i | \(-0.0196080\pi\) |
−0.552365 | + | 0.833602i | \(0.686275\pi\) | |||||||
\(492\) | −10.1192 | + | 5.84233i | −0.456209 | + | 0.263393i | ||||
\(493\) | − | 14.5616i | − | 0.655819i | ||||||
\(494\) | 1.43845 | + | 10.2726i | 0.0647188 | + | 0.462185i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.00000 | + | 10.3923i | 0.269408 | + | 0.466628i | ||||
\(497\) | 43.1815 | − | 24.9309i | 1.93696 | − | 1.11830i | ||||
\(498\) | 20.2384 | + | 11.6847i | 0.906905 | + | 0.523602i | ||||
\(499\) | 28.4924 | 1.27550 | 0.637748 | − | 0.770245i | \(-0.279866\pi\) | ||||
0.637748 | + | 0.770245i | \(0.279866\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.12311 | − | 5.40938i | 0.139530 | − | 0.241673i | ||||
\(502\) | 78.7386i | 3.51428i | ||||||||
\(503\) | 10.1791 | + | 5.87689i | 0.453863 | + | 0.262038i | 0.709460 | − | 0.704746i | \(-0.248939\pi\) |
−0.255597 | + | 0.966783i | \(0.582272\pi\) | |||||||
\(504\) | −11.6847 | − | 20.2384i | −0.520476 | − | 0.901491i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −10.2462 | −0.455500 | ||||||||
\(507\) | 9.03996 | − | 9.34233i | 0.401479 | − | 0.414907i | ||||
\(508\) | 43.6155i | 1.93513i | ||||||||
\(509\) | 3.40388 | + | 5.89570i | 0.150874 | + | 0.261322i | 0.931549 | − | 0.363615i | \(-0.118458\pi\) |
−0.780675 | + | 0.624938i | \(0.785124\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.34233 | + | 5.78908i | −0.147856 | + | 0.256094i | ||||
\(512\) | 50.4233i | 2.22842i | ||||||||
\(513\) | 0.972638 | + | 0.561553i | 0.0429430 | + | 0.0247932i | ||||
\(514\) | −20.7192 | + | 35.8867i | −0.913886 | + | 1.58290i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −1.00000 | + | 1.73205i | −0.0440225 | + | 0.0762493i | ||||
\(517\) | −14.2829 | + | 8.24621i | −0.628159 | + | 0.362668i | ||||
\(518\) | −27.1666 | + | 15.6847i | −1.19363 | + | 0.689144i | ||||
\(519\) | −3.75379 | −0.164773 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −37.9309 | −1.66178 | −0.830891 | − | 0.556436i | \(-0.812169\pi\) | ||||
−0.830891 | + | 0.556436i | \(0.812169\pi\) | |||||||
\(522\) | 12.6107 | − | 7.28078i | 0.551954 | − | 0.318671i | ||||
\(523\) | −20.6649 | + | 11.9309i | −0.903612 | + | 0.521701i | −0.878370 | − | 0.477981i | \(-0.841369\pi\) |
−0.0252415 | + | 0.999681i | \(0.508035\pi\) | |||||||
\(524\) | −39.6155 | + | 68.6161i | −1.73061 | + | 2.99751i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 19.6847 | − | 34.0948i | 0.858292 | − | 1.48661i | ||||
\(527\) | −3.46410 | − | 2.00000i | −0.150899 | − | 0.0871214i | ||||
\(528\) | − | 15.3693i | − | 0.668864i | ||||||
\(529\) | −9.50000 | + | 16.4545i | −0.413043 | + | 0.715412i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.56155 | + | 9.63289i | 0.241351 | + | 0.418032i | ||||
\(532\) | − | 18.2462i | − | 0.791074i | ||||||
\(533\) | 5.68247 | + | 7.28078i | 0.246135 | + | 0.315365i | ||||
\(534\) | −33.6155 | −1.45469 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.43845 | − | 2.49146i | −0.0621315 | − | 0.107615i | ||||
\(537\) | −11.3649 | − | 6.56155i | −0.490433 | − | 0.283152i | ||||
\(538\) | 8.63068i | 0.372095i | ||||||||
\(539\) | −5.68466 | + | 9.84612i | −0.244856 | + | 0.424102i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −29.7386 | −1.27856 | −0.639282 | − | 0.768972i | \(-0.720768\pi\) | ||||
−0.639282 | + | 0.768972i | \(0.720768\pi\) | |||||||
\(542\) | −2.37173 | − | 1.36932i | −0.101874 | − | 0.0588172i | ||||
\(543\) | 8.38716 | − | 4.84233i | 0.359927 | − | 0.207804i | ||||
\(544\) | 8.40388 | + | 14.5560i | 0.360313 | + | 0.624081i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −25.9309 | + | 20.2384i | −1.10974 | + | 0.866125i | ||||
\(547\) | 24.9309i | 1.06597i | 0.846126 | + | 0.532984i | \(0.178929\pi\) | ||||
−0.846126 | + | 0.532984i | \(0.821071\pi\) | |||||||
\(548\) | −5.68247 | + | 3.28078i | −0.242743 | + | 0.140148i | ||||
\(549\) | 6.06155 | + | 10.4989i | 0.258701 | + | 0.448083i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.38447 | 0.271988 | ||||||||
\(552\) | 11.3649 | + | 6.56155i | 0.483724 | + | 0.279278i | ||||
\(553\) | 29.4916 | + | 17.0270i | 1.25411 | + | 0.724061i | ||||
\(554\) | −45.3002 | −1.92462 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −24.9309 | − | 43.1815i | −1.05730 | − | 1.83130i | ||||
\(557\) | 12.1842 | − | 7.03457i | 0.516262 | − | 0.298064i | −0.219142 | − | 0.975693i | \(-0.570326\pi\) |
0.735404 | + | 0.677629i | \(0.236992\pi\) | |||||||
\(558\) | − | 4.00000i | − | 0.169334i | ||||||
\(559\) | 1.46543 | + | 0.592932i | 0.0619813 | + | 0.0250783i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.56155 | + | 4.43674i | 0.108149 | + | 0.187319i | ||||
\(562\) | 6.22866 | − | 3.59612i | 0.262740 | − | 0.151693i | ||||
\(563\) | −1.18586 | − | 0.684658i | −0.0499782 | − | 0.0288549i | 0.474803 | − | 0.880092i | \(-0.342519\pi\) |
−0.524781 | + | 0.851237i | \(0.675853\pi\) | |||||||
\(564\) | 37.6155 | 1.58390 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 1.68466 | − | 2.91791i | 0.0708115 | − | 0.122649i | ||||
\(567\) | 3.56155i | 0.149571i | ||||||||
\(568\) | −79.5546 | − | 45.9309i | −3.33804 | − | 1.92722i | ||||
\(569\) | 20.3693 | + | 35.2807i | 0.853926 | + | 1.47904i | 0.877638 | + | 0.479325i | \(0.159118\pi\) |
−0.0237115 | + | 0.999719i | \(0.507548\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.3693 | 0.810581 | 0.405290 | − | 0.914188i | \(-0.367170\pi\) | ||||
0.405290 | + | 0.914188i | \(0.367170\pi\) | |||||||
\(572\) | −32.5760 | + | 4.56155i | −1.36207 | + | 0.190728i | ||||
\(573\) | − | 0.876894i | − | 0.0366328i | ||||||
\(574\) | −11.6847 | − | 20.2384i | −0.487708 | − | 0.844735i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.719224 | + | 1.24573i | −0.0299676 | + | 0.0519055i | ||||
\(577\) | 29.6847i | 1.23579i | 0.786261 | + | 0.617894i | \(0.212014\pi\) | ||||
−0.786261 | + | 0.617894i | \(0.787986\pi\) | |||||||
\(578\) | 23.1563 | + | 13.3693i | 0.963177 | + | 0.556090i | ||||
\(579\) | 9.74621 | − | 16.8809i | 0.405039 | − | 0.701548i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −16.2462 | + | 28.1393i | −0.674006 | + | 1.16741i | ||||
\(582\) | 9.84612 | − | 5.68466i | 0.408135 | − | 0.235637i | ||||
\(583\) | −20.2384 | + | 11.6847i | −0.838190 | + | 0.483929i | ||||
\(584\) | 12.3153 | 0.509612 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 62.9157 | 2.59902 | ||||||||
\(587\) | −12.6705 | + | 7.31534i | −0.522969 | + | 0.301936i | −0.738149 | − | 0.674638i | \(-0.764300\pi\) |
0.215179 | + | 0.976575i | \(0.430966\pi\) | |||||||
\(588\) | 22.4568 | − | 12.9654i | 0.926102 | − | 0.534686i | ||||
\(589\) | 0.876894 | − | 1.51883i | 0.0361318 | − | 0.0625821i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.68466 | − | 9.84612i | 0.233836 | − | 0.405015i | ||||
\(592\) | 22.8832 | + | 13.2116i | 0.940495 | + | 0.542995i | ||||
\(593\) | 44.4233i | 1.82425i | 0.409917 | + | 0.912123i | \(0.365558\pi\) | ||||
−0.409917 | + | 0.912123i | \(0.634442\pi\) | |||||||
\(594\) | −2.56155 | + | 4.43674i | −0.105102 | + | 0.182042i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 14.9654 | + | 25.9209i | 0.613008 | + | 1.06176i | ||||
\(597\) | 23.1771i | 0.948575i | ||||||||
\(598\) | 6.92820 | − | 17.1231i | 0.283315 | − | 0.700216i | ||||
\(599\) | 0.384472 | 0.0157091 | 0.00785455 | − | 0.999969i | \(-0.497500\pi\) | ||||
0.00785455 | + | 0.999969i | \(0.497500\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.9654 | + | 31.1170i | 0.732825 | + | 1.26929i | 0.955671 | + | 0.294437i | \(0.0951321\pi\) |
−0.222846 | + | 0.974854i | \(0.571535\pi\) | |||||||
\(602\) | −3.46410 | − | 2.00000i | −0.141186 | − | 0.0815139i | ||||
\(603\) | 0.438447i | 0.0178549i | ||||||||
\(604\) | 35.0540 | − | 60.7153i | 1.42633 | − | 2.47047i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −8.80776 | −0.357791 | ||||||||
\(607\) | −13.8564 | − | 8.00000i | −0.562414 | − | 0.324710i | 0.191700 | − | 0.981454i | \(-0.438600\pi\) |
−0.754114 | + | 0.656744i | \(0.771933\pi\) | |||||||
\(608\) | −6.38202 | + | 3.68466i | −0.258825 | + | 0.149433i | ||||
\(609\) | 10.1231 | + | 17.5337i | 0.410209 | + | 0.710503i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.12311 | − | 29.4449i | −0.166803 | − | 1.19121i | ||||
\(612\) | − | 11.6847i | − | 0.472324i | ||||||
\(613\) | 19.7988 | − | 11.4309i | 0.799668 | − | 0.461688i | −0.0436871 | − | 0.999045i | \(-0.513910\pi\) |
0.843355 | + | 0.537357i | \(0.180577\pi\) | |||||||
\(614\) | 13.0540 | + | 22.6101i | 0.526816 | + | 0.912471i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 46.7386 | 1.88315 | ||||||||
\(617\) | −9.35980 | − | 5.40388i | −0.376811 | − | 0.217552i | 0.299619 | − | 0.954059i | \(-0.403141\pi\) |
−0.676430 | + | 0.736507i | \(0.736474\pi\) | |||||||
\(618\) | 16.7743 | + | 9.68466i | 0.674762 | + | 0.389574i | ||||
\(619\) | 24.3002 | 0.976707 | 0.488353 | − | 0.872646i | \(-0.337598\pi\) | ||||
0.488353 | + | 0.872646i | \(0.337598\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.00000 | − | 1.73205i | −0.0401286 | − | 0.0695048i | ||||
\(622\) | 24.1290 | − | 13.9309i | 0.967484 | − | 0.558577i | ||||
\(623\) | − | 46.7386i | − | 1.87254i | ||||||
\(624\) | 25.6847 | + | 10.3923i | 1.02821 | + | 0.416025i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 1.68466 | + | 2.91791i | 0.0673325 | + | 0.116623i | ||||
\(627\) | −1.94528 | + | 1.12311i | −0.0776868 | + | 0.0448525i | ||||
\(628\) | 17.2606 | + | 9.96543i | 0.688774 | + | 0.397664i | ||||
\(629\) | −8.80776 | −0.351189 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.21922 | − | 12.5041i | 0.287393 | − | 0.497779i | −0.685794 | − | 0.727796i | \(-0.740545\pi\) |
0.973187 | + | 0.230017i | \(0.0738782\pi\) | |||||||
\(632\) | − | 62.7386i | − | 2.49561i | ||||||
\(633\) | −6.33527 | − | 3.65767i | −0.251804 | − | 0.145379i | ||||
\(634\) | −29.5270 | − | 51.1422i | −1.17267 | − | 2.03112i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 53.3002 | 2.11349 | ||||||||
\(637\) | −12.6107 | − | 16.1577i | −0.499653 | − | 0.640190i | ||||
\(638\) | 29.1231i | 1.15299i | ||||||||
\(639\) | 7.00000 | + | 12.1244i | 0.276916 | + | 0.479632i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.0885 | + | 22.6700i | −0.516966 | + | 0.895412i | 0.482840 | + | 0.875709i | \(0.339605\pi\) |
−0.999806 | + | 0.0197030i | \(0.993728\pi\) | |||||||
\(642\) | − | 21.1231i | − | 0.833662i | ||||||
\(643\) | −33.3822 | − | 19.2732i | −1.31646 | − | 0.760061i | −0.333306 | − | 0.942819i | \(-0.608164\pi\) |
−0.983158 | + | 0.182758i | \(0.941498\pi\) | |||||||
\(644\) | −16.2462 | + | 28.1393i | −0.640190 | + | 1.10884i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.68466 | − | 6.38202i | 0.144971 | − | 0.251097i | ||||
\(647\) | 41.2363 | − | 23.8078i | 1.62116 | − | 0.935980i | 0.634555 | − | 0.772877i | \(-0.281183\pi\) |
0.986609 | − | 0.163102i | \(-0.0521501\pi\) | |||||||
\(648\) | 5.68247 | − | 3.28078i | 0.223229 | − | 0.128881i | ||||
\(649\) | −22.2462 | −0.873240 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.56155 | 0.217974 | ||||||||
\(652\) | −62.4473 | + | 36.0540i | −2.44563 | + | 1.41198i | ||||
\(653\) | 12.8838 | − | 7.43845i | 0.504181 | − | 0.291089i | −0.226258 | − | 0.974068i | \(-0.572649\pi\) |
0.730438 | + | 0.682979i | \(0.239316\pi\) | |||||||
\(654\) | 22.8078 | − | 39.5042i | 0.891854 | − | 1.54474i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −9.84233 | + | 17.0474i | −0.384278 | + | 0.665590i | ||||
\(657\) | −1.62544 | − | 0.938447i | −0.0634144 | − | 0.0366123i | ||||
\(658\) | 75.2311i | 2.93281i | ||||||||
\(659\) | 7.12311 | − | 12.3376i | 0.277477 | − | 0.480604i | −0.693280 | − | 0.720668i | \(-0.743835\pi\) |
0.970757 | + | 0.240064i | \(0.0771685\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.1847 | − | 26.3006i | −0.590615 | − | 1.02297i | −0.994150 | − | 0.108011i | \(-0.965552\pi\) |
0.403535 | − | 0.914964i | \(-0.367781\pi\) | |||||||
\(662\) | 60.9848i | 2.37024i | ||||||||
\(663\) | −9.14657 | + | 1.28078i | −0.355223 | + | 0.0497412i | ||||
\(664\) | 59.8617 | 2.32309 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.40388 | − | 7.62775i | −0.170647 | − | 0.295569i | ||||
\(667\) | −9.84612 | − | 5.68466i | −0.381243 | − | 0.220111i | ||||
\(668\) | − | 28.4924i | − | 1.10240i | ||||||
\(669\) | 4.00000 | − | 6.92820i | 0.154649 | − | 0.267860i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −24.2462 | −0.936015 | ||||||||
\(672\) | −20.2384 | − | 11.6847i | −0.780714 | − | 0.450745i | ||||
\(673\) | −5.84895 | + | 3.37689i | −0.225461 | + | 0.130170i | −0.608476 | − | 0.793572i | \(-0.708219\pi\) |
0.383016 | + | 0.923742i | \(0.374886\pi\) | |||||||
\(674\) | 2.71922 | + | 4.70983i | 0.104741 | + | 0.181416i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 14.4039 | − | 57.5243i | 0.553995 | − | 2.21247i | ||||
\(677\) | − | 25.6155i | − | 0.984485i | −0.870458 | − | 0.492242i | \(-0.836177\pi\) | ||
0.870458 | − | 0.492242i | \(-0.163823\pi\) | |||||||
\(678\) | −32.8491 | + | 18.9654i | −1.26156 | + | 0.728363i | ||||
\(679\) | 7.90388 | + | 13.6899i | 0.303323 | + | 0.525371i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.12311 | −0.0430375 | ||||||||
\(682\) | 6.92820 | + | 4.00000i | 0.265295 | + | 0.153168i | ||||
\(683\) | −31.2704 | − | 18.0540i | −1.19653 | − | 0.690816i | −0.236749 | − | 0.971571i | \(-0.576082\pi\) |
−0.959780 | + | 0.280755i | \(0.909415\pi\) | |||||||
\(684\) | 5.12311 | 0.195887 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −6.00000 | − | 10.3923i | −0.229081 | − | 0.396780i | ||||
\(687\) | −0.213225 | + | 0.123106i | −0.00813505 | + | 0.00469677i | ||||
\(688\) | 3.36932i | 0.128454i | ||||||||
\(689\) | −5.84233 | − | 41.7226i | −0.222575 | − | 1.58950i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.15009 | − | 1.99202i | −0.0437516 | − | 0.0757800i | 0.843320 | − | 0.537411i | \(-0.180598\pi\) |
−0.887072 | + | 0.461631i | \(0.847264\pi\) | |||||||
\(692\) | −14.8290 | + | 8.56155i | −0.563716 | + | 0.325461i | ||||
\(693\) | −6.16879 | − | 3.56155i | −0.234333 | − | 0.135292i | ||||
\(694\) | 34.8769 | 1.32391 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 18.6501 | − | 32.3029i | 0.706930 | − | 1.22444i | ||||
\(697\) | − | 6.56155i | − | 0.248537i | ||||||
\(698\) | 30.6307 | + | 17.6847i | 1.15939 | + | 0.669374i | ||||
\(699\) | 13.0000 | + | 22.5167i | 0.491705 | + | 0.851658i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.3693 | 0.731569 | 0.365785 | − | 0.930700i | \(-0.380801\pi\) | ||||
0.365785 | + | 0.930700i | \(0.380801\pi\) | |||||||
\(702\) | −5.68247 | − | 7.28078i | −0.214471 | − | 0.274795i | ||||
\(703\) | − | 3.86174i | − | 0.145648i | ||||||
\(704\) | −1.43845 | − | 2.49146i | −0.0542135 | − | 0.0939006i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.6501 | + | 39.2311i | −0.852448 | + | 1.47648i | ||||
\(707\) | − | 12.2462i | − | 0.460566i | ||||||
\(708\) | 43.9409 | + | 25.3693i | 1.65140 | + | 0.953437i | ||||
\(709\) | 12.7462 | − | 22.0771i | 0.478694 | − | 0.829122i | −0.521008 | − | 0.853552i | \(-0.674444\pi\) |
0.999702 | + | 0.0244297i | \(0.00777700\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.78078 | + | 8.28055i | −0.179293 | + | 0.310545i | ||||
\(712\) | −74.5717 | + | 43.0540i | −2.79469 | + | 1.61352i | ||||
\(713\) | −2.70469 | + | 1.56155i | −0.101291 | + | 0.0584806i | ||||
\(714\) | 23.3693 | 0.874575 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −59.8617 | −2.23714 | ||||||||
\(717\) | 0.546188 | − | 0.315342i | 0.0203977 | − | 0.0117766i | ||||
\(718\) | 34.0948 | − | 19.6847i | 1.27241 | − | 0.734625i | ||||
\(719\) | 0.684658 | − | 1.18586i | 0.0255335 | − | 0.0442252i | −0.852976 | − | 0.521950i | \(-0.825205\pi\) |
0.878510 | + | 0.477724i | \(0.158538\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.4654 | + | 23.3228i | −0.501479 | + | 0.868587i | ||||
\(722\) | −39.3508 | − | 22.7192i | −1.46449 | − | 0.845522i | ||||
\(723\) | 2.80776i | 0.104422i | ||||||||
\(724\) | 22.0885 | − | 38.2585i | 0.820914 | − | 1.42187i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 8.96543 | + | 15.5286i | 0.332738 | + | 0.576320i | ||||
\(727\) | − | 39.6695i | − | 1.47126i | −0.677383 | − | 0.735630i | \(-0.736886\pi\) | ||
0.677383 | − | 0.735630i | \(-0.263114\pi\) | |||||||
\(728\) | −31.6034 | + | 78.1080i | −1.17130 | + | 2.89487i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.561553 | − | 0.972638i | −0.0207698 | − | 0.0359743i | ||||
\(732\) | 47.8914 | + | 27.6501i | 1.77012 | + | 1.02198i | ||||
\(733\) | 53.4924i | 1.97579i | 0.155131 | + | 0.987894i | \(0.450420\pi\) | ||||
−0.155131 | + | 0.987894i | \(0.549580\pi\) | |||||||
\(734\) | 25.6847 | − | 44.4871i | 0.948038 | − | 1.64205i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.1231 | 0.483724 | ||||||||
\(737\) | −0.759413 | − | 0.438447i | −0.0279733 | − | 0.0161504i | ||||
\(738\) | 5.68247 | − | 3.28078i | 0.209175 | − | 0.120767i | ||||
\(739\) | −3.12311 | − | 5.40938i | −0.114885 | − | 0.198987i | 0.802849 | − | 0.596183i | \(-0.203317\pi\) |
−0.917734 | + | 0.397196i | \(0.869983\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.561553 | − | 4.01029i | −0.0206292 | − | 0.147322i | ||||
\(742\) | 106.600i | 3.91342i | ||||||||
\(743\) | −32.3628 | + | 18.6847i | −1.18728 | + | 0.685474i | −0.957686 | − | 0.287814i | \(-0.907071\pi\) |
−0.229589 | + | 0.973288i | \(0.573738\pi\) | |||||||
\(744\) | −5.12311 | − | 8.87348i | −0.187822 | − | 0.325318i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 9.30019 | 0.340504 | ||||||||
\(747\) | −7.90084 | − | 4.56155i | −0.289077 | − | 0.166898i | ||||
\(748\) | 20.2384 | + | 11.6847i | 0.739990 | + | 0.427233i | ||||
\(749\) | 29.3693 | 1.07313 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.0540 | + | 26.0743i | 0.549327 | + | 0.951463i | 0.998321 | + | 0.0579278i | \(0.0184493\pi\) |
−0.448993 | + | 0.893535i | \(0.648217\pi\) | |||||||
\(752\) | 54.8794 | − | 31.6847i | 2.00125 | − | 1.15542i | ||||
\(753\) | − | 30.7386i | − | 1.12018i | ||||||
\(754\) | −48.6695 | − | 19.6922i | −1.77244 | − | 0.717149i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 8.12311 | + | 14.0696i | 0.295434 | + | 0.511708i | ||||
\(757\) | −25.9808 | + | 15.0000i | −0.944287 | + | 0.545184i | −0.891302 | − | 0.453411i | \(-0.850207\pi\) |
−0.0529853 | + | 0.998595i | \(0.516874\pi\) | |||||||
\(758\) | −25.1016 | − | 14.4924i | −0.911732 | − | 0.526388i | ||||
\(759\) | 4.00000 | 0.145191 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.68466 | − | 13.3102i | 0.278569 | − | 0.482495i | −0.692461 | − | 0.721456i | \(-0.743473\pi\) |
0.971029 | + | 0.238961i | \(0.0768067\pi\) | |||||||
\(762\) | − | 24.4924i | − | 0.887267i | ||||||
\(763\) | 54.9262 | + | 31.7116i | 1.98846 | + | 1.14804i | ||||
\(764\) | −2.00000 | − | 3.46410i | −0.0723575 | − | 0.125327i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 68.4924 | 2.47473 | ||||||||
\(767\) | 15.0423 | − | 37.1771i | 0.543145 | − | 1.34239i | ||||
\(768\) | − | 27.0540i | − | 0.976226i | ||||||
\(769\) | −9.00000 | − | 15.5885i | −0.324548 | − | 0.562134i | 0.656873 | − | 0.754002i | \(-0.271879\pi\) |
−0.981421 | + | 0.191867i | \(0.938546\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.08854 | − | 14.0098i | 0.291302 | − | 0.504549i | ||||
\(772\) | − | 88.9157i | − | 3.20015i | ||||||
\(773\) | 6.71498 | + | 3.87689i | 0.241521 | + | 0.139442i | 0.615876 | − | 0.787843i | \(-0.288802\pi\) |
−0.374355 | + | 0.927286i | \(0.622136\pi\) | |||||||
\(774\) | 0.561553 | − | 0.972638i | 0.0201846 | − | 0.0349608i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 14.5616 | − | 25.2213i | 0.522729 | − | 0.905394i | ||||
\(777\) | 10.6055 | − | 6.12311i | 0.380471 | − | 0.219665i | ||||
\(778\) | −6.77485 | + | 3.91146i | −0.242890 | + | 0.140233i | ||||
\(779\) | 2.87689 | 0.103075 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.0000 | −1.00192 | ||||||||
\(782\) | −11.3649 | + | 6.56155i | −0.406410 | + | 0.234641i | ||||
\(783\) | −4.92306 | + | 2.84233i | −0.175936 | + | 0.101577i | ||||
\(784\) | 21.8423 | − | 37.8320i | 0.780083 | − | 1.35114i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 22.2462 | − | 38.5316i | 0.793496 | − | 1.37438i | ||||
\(787\) | −1.01938 | − | 0.588540i | −0.0363370 | − | 0.0209792i | 0.481721 | − | 0.876324i | \(-0.340012\pi\) |
−0.518058 | + | 0.855345i | \(0.673345\pi\) | |||||||
\(788\) | − | 51.8617i | − | 1.84750i | ||||||
\(789\) | −7.68466 | + | 13.3102i | −0.273581 | + | 0.473856i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −26.3693 | − | 45.6730i | −0.937585 | − | 1.62394i | ||||
\(792\) | 13.1231i | 0.466309i | ||||||||
\(793\) | 16.3946 | − | 40.5194i | 0.582190 | − | 1.43889i | ||||
\(794\) | 30.8769 | 1.09578 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 52.8617 | + | 91.5592i | 1.87363 | + | 3.24523i | ||||
\(797\) | −36.0401 | − | 20.8078i | −1.27661 | − | 0.737049i | −0.300383 | − | 0.953819i | \(-0.597115\pi\) |
−0.976223 | + | 0.216770i | \(0.930448\pi\) | |||||||
\(798\) | 10.2462i | 0.362712i | ||||||||
\(799\) | −10.5616 | + | 18.2931i | −0.373641 | + | 0.647165i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 13.1231 | 0.463682 | ||||||||
\(802\) | 41.1764 | + | 23.7732i | 1.45399 | + | 0.839461i | ||||
\(803\) | 3.25088 | − | 1.87689i | 0.114721 | − | 0.0662342i | ||||
\(804\) | 1.00000 | + | 1.73205i | 0.0352673 | + | 0.0610847i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −11.3693 | + | 8.87348i | −0.400467 | + | 0.312555i | ||||
\(807\) | − | 3.36932i | − | 0.118606i | ||||||
\(808\) | −19.5389 | + | 11.2808i | −0.687375 | + | 0.396856i | ||||
\(809\) | 18.6501 | + | 32.3029i | 0.655702 | + | 1.13571i | 0.981717 | + | 0.190345i | \(0.0609607\pi\) |
−0.326015 | + | 0.945365i | \(0.605706\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.56155 | −0.0548335 | −0.0274168 | − | 0.999624i | \(-0.508728\pi\) | ||||
−0.0274168 | + | 0.999624i | \(0.508728\pi\) | |||||||
\(812\) | 79.9811 | + | 46.1771i | 2.80678 | + | 1.62050i | ||||
\(813\) | 0.925894 | + | 0.534565i | 0.0324725 | + | 0.0187480i | ||||
\(814\) | 17.6155 | 0.617424 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −9.84233 | − | 17.0474i | −0.344550 | − | 0.596779i | ||||
\(817\) | 0.426450 | − | 0.246211i | 0.0149196 | − | 0.00861384i | ||||
\(818\) | − | 47.0540i | − | 1.64520i | ||||||
\(819\) | 10.1231 | − | 7.90084i | 0.353730 | − | 0.276078i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.2462 | + | 22.9431i | 0.462296 | + | 0.800720i | 0.999075 | − | 0.0430028i | \(-0.0136924\pi\) |
−0.536779 | + | 0.843723i | \(0.680359\pi\) | |||||||
\(822\) | 3.19101 | − | 1.84233i | 0.111299 | − | 0.0642586i | ||||
\(823\) | −6.92820 | − | 4.00000i | −0.241502 | − | 0.139431i | 0.374365 | − | 0.927281i | \(-0.377861\pi\) |
−0.615867 | + | 0.787850i | \(0.711194\pi\) | |||||||
\(824\) | 49.6155 | 1.72844 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −50.7386 | + | 87.8819i | −1.76542 | + | 3.05780i | ||||
\(827\) | − | 34.7386i | − | 1.20798i | −0.796992 | − | 0.603990i | \(-0.793577\pi\) | ||
0.796992 | − | 0.603990i | \(-0.206423\pi\) | |||||||
\(828\) | −7.90084 | − | 4.56155i | −0.274573 | − | 0.158525i | ||||
\(829\) | −9.74621 | − | 16.8809i | −0.338500 | − | 0.586299i | 0.645651 | − | 0.763633i | \(-0.276586\pi\) |
−0.984151 | + | 0.177334i | \(0.943253\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.6847 | 0.613474 | ||||||||
\(832\) | 5.13628 | − | 0.719224i | 0.178069 | − | 0.0249346i | ||||
\(833\) | 14.5616i | 0.504528i | ||||||||
\(834\) | 14.0000 | + | 24.2487i | 0.484780 | + | 0.839664i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −5.12311 | + | 8.87348i | −0.177186 | + | 0.306896i | ||||
\(837\) | 1.56155i | 0.0539752i | ||||||||
\(838\) | 39.3845 | + | 22.7386i | 1.36051 | + | 0.785493i | ||||
\(839\) | −9.80776 | + | 16.9875i | −0.338602 | + | 0.586475i | −0.984170 | − | 0.177227i | \(-0.943287\pi\) |
0.645568 | + | 0.763703i | \(0.276621\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.65767 | + | 2.87117i | −0.0571611 | + | 0.0990059i | ||||
\(842\) | −32.7294 | + | 18.8963i | −1.12793 | + | 0.651210i | ||||
\(843\) | −2.43160 | + | 1.40388i | −0.0837486 | + | 0.0483523i | ||||
\(844\) | −33.3693 | −1.14862 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −21.1231 | −0.726227 | ||||||||
\(847\) | −21.5908 | + | 12.4654i | −0.741868 | + | 0.428317i | ||||
\(848\) | 77.7627 | − | 44.8963i | 2.67038 | − | 1.54175i | ||||
\(849\) | −0.657671 | + | 1.13912i | −0.0225712 | + | 0.0390945i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −3.43845 | + | 5.95557i | −0.117868 | + | 0.204154i | ||||
\(852\) | 55.3059 | + | 31.9309i | 1.89475 | + | 1.09393i | ||||
\(853\) | − | 6.12311i | − | 0.209651i | −0.994491 | − | 0.104826i | \(-0.966572\pi\) | ||
0.994491 | − | 0.104826i | \(-0.0334284\pi\) | |||||||
\(854\) | −55.3002 | + | 95.7827i | −1.89233 | + | 3.27762i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −27.0540 | − | 46.8589i | −0.924686 | − | 1.60160i | ||||
\(857\) | − | 31.4384i | − | 1.07392i | −0.843609 | − | 0.536958i | \(-0.819573\pi\) | ||
0.843609 | − | 0.536958i | \(-0.180427\pi\) | |||||||
\(858\) | 18.2931 | − | 2.56155i | 0.624518 | − | 0.0874500i | ||||
\(859\) | −20.4384 | −0.697351 | −0.348675 | − | 0.937244i | \(-0.613368\pi\) | ||||
−0.348675 | + | 0.937244i | \(0.613368\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.56155 | + | 7.90084i | 0.155457 | + | 0.269260i | ||||
\(862\) | −6.38202 | − | 3.68466i | −0.217372 | − | 0.125500i | ||||
\(863\) | − | 2.49242i | − | 0.0848430i | −0.999100 | − | 0.0424215i | \(-0.986493\pi\) | ||
0.999100 | − | 0.0424215i | \(-0.0135072\pi\) | |||||||
\(864\) | 3.28078 | − | 5.68247i | 0.111614 | − | 0.193322i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 64.6695 | 2.19756 | ||||||||
\(867\) | −9.03996 | − | 5.21922i | −0.307013 | − | 0.177254i | ||||
\(868\) | 21.9705 | − | 12.6847i | 0.745726 | − | 0.430545i | ||||
\(869\) | −9.56155 | − | 16.5611i | −0.324353 | − | 0.561797i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.24621 | − | 0.972638i | 0.0422263 | − | 0.0329566i | ||||
\(872\) | − | 116.847i | − | 3.95692i | ||||||
\(873\) | −3.84381 | + | 2.21922i | −0.130093 | + | 0.0751093i | ||||
\(874\) | −2.87689 | − | 4.98293i | −0.0973124 | − | 0.168550i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.56155 | −0.289268 | ||||||||
\(877\) | 16.8342 | + | 9.71922i | 0.568450 | + | 0.328195i | 0.756530 | − | 0.653959i | \(-0.226893\pi\) |
−0.188080 | + | 0.982154i | \(0.560226\pi\) | |||||||
\(878\) | 2.91791 | + | 1.68466i | 0.0984748 | + | 0.0568545i | ||||
\(879\) | −24.5616 | −0.828441 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 18.9654 | + | 32.8491i | 0.638962 | + | 1.10671i | 0.985661 | + | 0.168738i | \(0.0539691\pi\) |
−0.346699 | + | 0.937976i | \(0.612698\pi\) | |||||||
\(882\) | −12.6107 | + | 7.28078i | −0.424624 | + | 0.245156i | ||||
\(883\) | − | 11.8078i | − | 0.397363i | −0.980064 | − | 0.198681i | \(-0.936334\pi\) | ||
0.980064 | − | 0.198681i | \(-0.0636659\pi\) | |||||||
\(884\) | −33.2116 | + | 25.9209i | −1.11703 | + | 0.871814i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.8769 | − | 32.6957i | −0.634182 | − | 1.09843i | ||||
\(887\) | −42.7551 | + | 24.6847i | −1.43558 | + | 0.828830i | −0.997538 | − | 0.0701272i | \(-0.977659\pi\) |
−0.438037 | + | 0.898957i | \(0.644326\pi\) | |||||||
\(888\) | −19.5389 | − | 11.2808i | −0.655682 | − | 0.378558i | ||||
\(889\) | 34.0540 | 1.14213 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.00000 | − | 1.73205i | 0.0335013 | − | 0.0580259i | ||||
\(892\) | − | 36.4924i | − | 1.22186i | ||||||
\(893\) | −8.02058 | − | 4.63068i | −0.268398 | − | 0.154960i | ||||
\(894\) | −8.40388 | − | 14.5560i | −0.281068 | − | 0.486824i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 33.6155 | 1.12302 | ||||||||
\(897\) | −2.70469 | + | 6.68466i | −0.0903069 | + | 0.223194i | ||||
\(898\) | 21.1231i | 0.704887i | ||||||||
\(899\) | 4.43845 | + | 7.68762i | 0.148031 | + | 0.256396i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.9654 | + | 25.9209i | −0.498571 | + | 0.863550i | ||||
\(902\) | 13.1231i | 0.436952i | ||||||||
\(903\) | 1.35234 | + | 0.780776i | 0.0450032 | + | 0.0259826i | ||||
\(904\) | −48.5810 | + | 84.1447i | −1.61578 | + | 2.79861i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −19.6847 | + | 34.0948i | −0.653979 | + | 1.13272i | ||||
\(907\) | −24.2487 | + | 14.0000i | −0.805165 | + | 0.464862i | −0.845274 | − | 0.534333i | \(-0.820563\pi\) |
0.0401089 | + | 0.999195i | \(0.487230\pi\) | |||||||
\(908\) | −4.43674 | + | 2.56155i | −0.147238 | + | 0.0850081i | ||||
\(909\) | 3.43845 | 0.114046 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.7386 | −0.355787 | −0.177893 | − | 0.984050i | \(-0.556928\pi\) | ||||
−0.177893 | + | 0.984050i | \(0.556928\pi\) | |||||||
\(912\) | 7.47439 | − | 4.31534i | 0.247502 | − | 0.142895i | ||||
\(913\) | 15.8017 | − | 9.12311i | 0.522959 | − | 0.301931i | ||||
\(914\) | −36.6501 | + | 63.4798i | −1.21228 | + | 2.09973i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.561553 | + | 0.972638i | −0.0185542 | + | 0.0321369i | ||||
\(917\) | 53.5738 | + | 30.9309i | 1.76916 | + | 1.02143i | ||||
\(918\) | 6.56155i | 0.216564i | ||||||||
\(919\) | 22.2462 | − | 38.5316i | 0.733835 | − | 1.27104i | −0.221398 | − | 0.975184i | \(-0.571062\pi\) |
0.955233 | − | 0.295856i | \(-0.0956047\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.09612 | − | 8.82674i | −0.167923 | − | 0.290851i | ||||
\(922\) | 94.2850i | 3.10511i | ||||||||
\(923\) | 18.9328 | − | 46.7926i | 0.623181 | − | 1.54020i | ||||
\(924\) | −32.4924 | −1.06892 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 34.1771 | + | 59.1964i | 1.12313 | + | 1.94532i | ||||
\(927\) | −6.54850 | − | 3.78078i | −0.215081 | − | 0.124177i | ||||
\(928\) | − | 37.3002i | − | 1.22444i | ||||||
\(929\) | 6.40388 | − | 11.0918i | 0.210105 | − | 0.363912i | −0.741643 | − | 0.670795i | \(-0.765953\pi\) |
0.951747 | + | 0.306884i | \(0.0992862\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.38447 | −0.209243 | ||||||||
\(932\) | 102.711 | + | 59.3002i | 3.36441 | + | 1.94244i | ||||
\(933\) | −9.41967 | + | 5.43845i | −0.308386 | + | 0.178047i | ||||
\(934\) | −33.3002 | − | 57.6776i | −1.08962 | − | 1.88727i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −21.9309 | − | 8.87348i | −0.716833 | − | 0.290039i | ||||
\(937\) | 3.43845i | 0.112329i | 0.998422 | + | 0.0561646i | \(0.0178872\pi\) | ||||
−0.998422 | + | 0.0561646i | \(0.982113\pi\) | |||||||
\(938\) | −3.46410 | + | 2.00000i | −0.113107 | + | 0.0653023i | ||||
\(939\) | −0.657671 | − | 1.13912i | −0.0214623 | − | 0.0371738i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −2.49242 | −0.0812507 | −0.0406253 | − | 0.999174i | \(-0.512935\pi\) | ||||
−0.0406253 | + | 0.999174i | \(0.512935\pi\) | |||||||
\(942\) | −9.69276 | − | 5.59612i | −0.315807 | − | 0.182331i | ||||
\(943\) | −4.43674 | − | 2.56155i | −0.144480 | − | 0.0834156i | ||||
\(944\) | 85.4773 | 2.78205 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.12311 | + | 1.94528i | 0.0365153 | + | 0.0632464i | ||||
\(947\) | −9.29993 | + | 5.36932i | −0.302207 | + | 0.174479i | −0.643434 | − | 0.765502i | \(-0.722491\pi\) |
0.341227 | + | 0.939981i | \(0.389158\pi\) | |||||||
\(948\) | 43.6155i | 1.41657i | ||||||||
\(949\) | 0.938447 | + | 6.70185i | 0.0304633 | + | 0.217551i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.5270 | + | 19.9653i | 0.373788 | + | 0.647420i | ||||
\(952\) | 51.8418 | − | 29.9309i | 1.68020 | − | 0.970065i | ||||
\(953\) | 30.2978 | + | 17.4924i | 0.981441 | + | 0.566635i | 0.902705 | − | 0.430260i | \(-0.141578\pi\) |
0.0787360 | + | 0.996896i | \(0.474912\pi\) | |||||||
\(954\) | −29.9309 | −0.969048 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.43845 | − | 2.49146i | 0.0465227 | − | 0.0805797i | ||||
\(957\) | − | 11.3693i | − | 0.367518i | ||||||
\(958\) | 13.8564 | + | 8.00000i | 0.447680 | + | 0.258468i | ||||
\(959\) | 2.56155 | + | 4.43674i | 0.0827169 | + | 0.143270i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.5616 | −0.921340 | ||||||||
\(962\) | −11.9111 | + | 29.4384i | −0.384030 | + | 0.949134i | ||||
\(963\) | 8.24621i | 0.265730i | ||||||||
\(964\) | 6.40388 | + | 11.0918i | 0.206255 | + | 0.357244i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 9.12311 | − | 15.8017i | 0.293531 | − | 0.508411i | ||||
\(967\) | 9.12311i | 0.293379i | 0.989183 | + | 0.146690i | \(0.0468619\pi\) | ||||
−0.989183 | + | 0.146690i | \(0.953138\pi\) | |||||||
\(968\) | 39.7773 | + | 22.9654i | 1.27849 | + | 0.738137i | ||||
\(969\) | −1.43845 | + | 2.49146i | −0.0462096 | + | 0.0800373i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −26.4924 | + | 45.8862i | −0.850182 | + | 1.47256i | 0.0308612 | + | 0.999524i | \(0.490175\pi\) |
−0.881043 | + | 0.473035i | \(0.843158\pi\) | |||||||
\(972\) | −3.95042 | + | 2.28078i | −0.126710 | + | 0.0731559i | ||||
\(973\) | −33.7151 | + | 19.4654i | −1.08086 | + | 0.624033i | ||||
\(974\) | 2.87689 | 0.0921816 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 93.1619 | 2.98204 | ||||||||
\(977\) | −13.7030 | + | 7.91146i | −0.438399 | + | 0.253110i | −0.702918 | − | 0.711270i | \(-0.748120\pi\) |
0.264519 | + | 0.964380i | \(0.414787\pi\) | |||||||
\(978\) | 35.0675 | − | 20.2462i | 1.12133 | − | 0.647402i | ||||
\(979\) | −13.1231 | + | 22.7299i | −0.419416 | + | 0.726450i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.90388 | + | 15.4220i | −0.284279 | + | 0.492386i | ||||
\(982\) | −43.8212 | − | 25.3002i | −1.39839 | − | 0.807361i | ||||
\(983\) | − | 27.6155i | − | 0.880799i | −0.897802 | − | 0.440399i | \(-0.854837\pi\) | ||
0.897802 | − | 0.440399i | \(-0.145163\pi\) | |||||||
\(984\) | 8.40388 | − | 14.5560i | 0.267906 | − | 0.464027i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 18.6501 | + | 32.3029i | 0.593940 | + | 1.02873i | ||||
\(987\) | − | 29.3693i | − | 0.934836i | ||||||
\(988\) | −11.3649 | − | 14.5616i | −0.361567 | − | 0.463265i | ||||
\(989\) | −0.876894 | −0.0278836 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.1771 | − | 34.9477i | −0.640946 | − | 1.11015i | −0.985222 | − | 0.171283i | \(-0.945209\pi\) |
0.344276 | − | 0.938869i | \(-0.388124\pi\) | |||||||
\(992\) | −8.87348 | − | 5.12311i | −0.281733 | − | 0.162659i | ||||
\(993\) | − | 23.8078i | − | 0.755517i | ||||||
\(994\) | −63.8617 | + | 110.612i | −2.02557 | + | 3.50839i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −41.6155 | −1.31864 | ||||||||
\(997\) | 17.8536 | + | 10.3078i | 0.565428 | + | 0.326450i | 0.755321 | − | 0.655355i | \(-0.227481\pi\) |
−0.189893 | + | 0.981805i | \(0.560814\pi\) | |||||||
\(998\) | −63.2067 | + | 36.4924i | −2.00077 | + | 1.15515i | ||||
\(999\) | 1.71922 | + | 2.97778i | 0.0543938 | + | 0.0942129i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))