Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 190.1 | ||
Character | \(\chi\) | \(=\) | 441.190 |
Dual form | 441.2.u.d.253.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64011 | + | 2.05663i | −1.15973 | + | 1.45426i | −0.292562 | + | 0.956247i | \(0.594508\pi\) |
−0.867170 | + | 0.498012i | \(0.834064\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.09473 | − | 4.79635i | −0.547367 | − | 2.39817i | ||||
\(5\) | −3.33882 | − | 1.60789i | −1.49317 | − | 0.719071i | −0.503705 | − | 0.863876i | \(-0.668030\pi\) |
−0.989460 | + | 0.144805i | \(0.953745\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.39773 | + | 1.11843i | −0.906257 | + | 0.422728i | ||||
\(8\) | 6.91975 | + | 3.33238i | 2.44650 | + | 1.17817i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 8.78287 | − | 4.22961i | 2.77739 | − | 1.33752i | ||||
\(11\) | 1.47186 | − | 1.84565i | 0.443781 | − | 0.556484i | −0.508754 | − | 0.860912i | \(-0.669894\pi\) |
0.952535 | + | 0.304428i | \(0.0984652\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.990136 | + | 1.24159i | −0.274614 | + | 0.344355i | −0.899944 | − | 0.436005i | \(-0.856393\pi\) |
0.625330 | + | 0.780360i | \(0.284964\pi\) | |||||||
\(14\) | 1.63233 | − | 6.76560i | 0.436259 | − | 1.80818i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −9.33764 | + | 4.49677i | −2.33441 | + | 1.12419i | ||||
\(17\) | 0.263012 | − | 1.15233i | 0.0637899 | − | 0.279482i | −0.932966 | − | 0.359964i | \(-0.882789\pi\) |
0.996756 | + | 0.0804824i | \(0.0256461\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.37065 | 1.00270 | 0.501348 | − | 0.865246i | \(-0.332838\pi\) | ||||
0.501348 | + | 0.865246i | \(0.332838\pi\) | |||||||
\(20\) | −4.05688 | + | 17.7743i | −0.907146 | + | 3.97447i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.38182 | + | 6.05413i | 0.294604 | + | 1.29075i | ||||
\(23\) | 1.93211 | + | 8.46514i | 0.402873 | + | 1.76510i | 0.615667 | + | 0.788007i | \(0.288887\pi\) |
−0.212793 | + | 0.977097i | \(0.568256\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.44495 | + | 6.82776i | 1.08899 | + | 1.36555i | ||||
\(26\) | −0.929565 | − | 4.07269i | −0.182303 | − | 0.798720i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.98927 | + | 10.2760i | 1.50983 | + | 1.94197i | ||||
\(29\) | 0.443502 | − | 1.94311i | 0.0823562 | − | 0.360826i | −0.916911 | − | 0.399091i | \(-0.869326\pi\) |
0.999268 | + | 0.0382646i | \(0.0121830\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.08758 | 0.195336 | 0.0976678 | − | 0.995219i | \(-0.468862\pi\) | ||||
0.0976678 | + | 0.995219i | \(0.468862\pi\) | |||||||
\(32\) | 2.64847 | − | 11.6037i | 0.468188 | − | 2.05127i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.93856 | + | 2.43087i | 0.332459 | + | 0.416891i | ||||
\(35\) | 9.80391 | + | 0.121038i | 1.65716 | + | 0.0204592i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0740106 | + | 0.324262i | −0.0121673 | + | 0.0533083i | −0.980647 | − | 0.195784i | \(-0.937275\pi\) |
0.968480 | + | 0.249092i | \(0.0801321\pi\) | |||||||
\(38\) | −7.16834 | + | 8.98882i | −1.16286 | + | 1.45818i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −17.7457 | − | 22.2524i | −2.80584 | − | 3.51841i | ||||
\(41\) | 3.96986 | + | 1.91179i | 0.619988 | + | 0.298571i | 0.717387 | − | 0.696675i | \(-0.245338\pi\) |
−0.0973987 | + | 0.995245i | \(0.531052\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.93177 | + | 1.41187i | −0.447091 | + | 0.215308i | −0.643862 | − | 0.765142i | \(-0.722669\pi\) |
0.196771 | + | 0.980450i | \(0.436955\pi\) | |||||||
\(44\) | −10.4637 | − | 5.03904i | −1.57746 | − | 0.759663i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −20.5786 | − | 9.91011i | −3.03414 | − | 1.46117i | ||||
\(47\) | 4.93816 | − | 6.19226i | 0.720305 | − | 0.903234i | −0.278050 | − | 0.960567i | \(-0.589688\pi\) |
0.998355 | + | 0.0573323i | \(0.0182595\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.49821 | − | 5.36340i | 0.642602 | − | 0.766200i | ||||
\(50\) | −22.9725 | −3.24880 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.03904 | + | 3.38982i | 0.976139 | + | 0.470084i | ||||
\(53\) | 0.847456 | + | 3.71295i | 0.116407 | + | 0.510013i | 0.999190 | + | 0.0402322i | \(0.0128098\pi\) |
−0.882783 | + | 0.469780i | \(0.844333\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.88187 | + | 3.79571i | −1.06279 | + | 0.511813i | ||||
\(56\) | −20.3187 | − | 0.250854i | −2.71520 | − | 0.0335217i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.26887 | + | 4.09903i | 0.429223 | + | 0.538229i | ||||
\(59\) | 8.45166 | − | 4.07011i | 1.10031 | − | 0.529883i | 0.206556 | − | 0.978435i | \(-0.433774\pi\) |
0.893757 | + | 0.448552i | \(0.148060\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.964494 | + | 4.22573i | −0.123491 | + | 0.541049i | 0.874898 | + | 0.484307i | \(0.160928\pi\) |
−0.998389 | + | 0.0567416i | \(0.981929\pi\) | |||||||
\(62\) | −1.78375 | + | 2.23676i | −0.226537 | + | 0.284068i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.59709 | + | 8.27249i | 0.824636 | + | 1.03406i | ||||
\(65\) | 5.30223 | − | 2.55342i | 0.657661 | − | 0.316713i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.74658 | 0.213379 | 0.106689 | − | 0.994292i | \(-0.465975\pi\) | ||||
0.106689 | + | 0.994292i | \(0.465975\pi\) | |||||||
\(68\) | −5.81492 | −0.705162 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −16.3284 | + | 19.9645i | −1.95162 | + | 2.38622i | ||||
\(71\) | 1.49240 | + | 6.53865i | 0.177116 | + | 0.775995i | 0.982953 | + | 0.183858i | \(0.0588585\pi\) |
−0.805837 | + | 0.592137i | \(0.798284\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.58008 | − | 4.48928i | −0.419016 | − | 0.525430i | 0.526862 | − | 0.849951i | \(-0.323368\pi\) |
−0.945879 | + | 0.324521i | \(0.894797\pi\) | |||||||
\(74\) | −0.545501 | − | 0.684037i | −0.0634133 | − | 0.0795177i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.78470 | − | 20.9631i | −0.548843 | − | 2.40464i | ||||
\(77\) | −1.46488 | + | 6.07154i | −0.166938 | + | 0.691916i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.6663 | 1.42507 | 0.712537 | − | 0.701634i | \(-0.247546\pi\) | ||||
0.712537 | + | 0.701634i | \(0.247546\pi\) | |||||||
\(80\) | 38.4070 | 4.29403 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.4428 | + | 5.02901i | −1.15322 | + | 0.555361i | ||||
\(83\) | −7.79840 | − | 9.77888i | −0.855985 | − | 1.07337i | −0.996525 | − | 0.0832964i | \(-0.973455\pi\) |
0.140540 | − | 0.990075i | \(-0.455116\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.73098 | + | 3.42454i | −0.296216 | + | 0.371443i | ||||
\(86\) | 1.90474 | − | 8.34519i | 0.205393 | − | 0.899885i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 16.3353 | − | 7.86665i | 1.74135 | − | 0.838588i | ||||
\(89\) | 3.76334 | + | 4.71909i | 0.398914 | + | 0.500222i | 0.940203 | − | 0.340614i | \(-0.110635\pi\) |
−0.541289 | + | 0.840836i | \(0.682064\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.985441 | − | 4.08440i | 0.103302 | − | 0.428162i | ||||
\(92\) | 38.4866 | − | 18.5342i | 4.01250 | − | 1.93232i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.63608 | + | 20.3120i | 0.478175 | + | 2.09502i | ||||
\(95\) | −14.5928 | − | 7.02753i | −1.49719 | − | 0.721009i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.40314 | 0.548606 | 0.274303 | − | 0.961643i | \(-0.411553\pi\) | ||||
0.274303 | + | 0.961643i | \(0.411553\pi\) | |||||||
\(98\) | 3.65299 | + | 18.0477i | 0.369007 | + | 1.82310i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 26.7875 | − | 33.5905i | 2.67875 | − | 3.35905i | ||||
\(101\) | −12.2903 | − | 5.91870i | −1.22293 | − | 0.588933i | −0.292805 | − | 0.956172i | \(-0.594589\pi\) |
−0.930126 | + | 0.367240i | \(0.880303\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.14532 | + | 2.47786i | 0.506984 | + | 0.244150i | 0.669848 | − | 0.742498i | \(-0.266359\pi\) |
−0.162865 | + | 0.986648i | \(0.552073\pi\) | |||||||
\(104\) | −10.9889 | + | 5.29200i | −1.07755 | + | 0.518923i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.02609 | − | 4.34673i | −0.876691 | − | 0.422192i | ||||
\(107\) | 8.33694 | + | 10.4542i | 0.805962 | + | 1.01064i | 0.999563 | + | 0.0295641i | \(0.00941192\pi\) |
−0.193601 | + | 0.981080i | \(0.562017\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.3625 | − | 12.9941i | 0.992546 | − | 1.24461i | 0.0229921 | − | 0.999736i | \(-0.492681\pi\) |
0.969554 | − | 0.244878i | \(-0.0787478\pi\) | |||||||
\(110\) | 5.12075 | − | 22.4355i | 0.488244 | − | 2.13914i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 17.3598 | − | 21.2256i | 1.64035 | − | 2.00563i | ||||
\(113\) | 12.0928 | + | 15.1639i | 1.13760 | + | 1.42650i | 0.889006 | + | 0.457895i | \(0.151396\pi\) |
0.248592 | + | 0.968608i | \(0.420032\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.16004 | − | 31.3702i | 0.667678 | − | 2.92529i | ||||
\(116\) | −9.80534 | −0.910403 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.49094 | + | 24.0574i | −0.505482 | + | 2.21466i | ||||
\(119\) | 0.658175 | + | 3.05714i | 0.0603348 | + | 0.280248i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.20767 | + | 5.29115i | 0.109788 | + | 0.481013i | ||||
\(122\) | −7.10889 | − | 8.91426i | −0.643608 | − | 0.807059i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.19061 | − | 5.21642i | −0.106920 | − | 0.468448i | ||||
\(125\) | −3.07833 | − | 13.4871i | −0.275334 | − | 1.20632i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.36449 | + | 10.3595i | −0.209815 | + | 0.919258i | 0.754875 | + | 0.655869i | \(0.227698\pi\) |
−0.964690 | + | 0.263389i | \(0.915160\pi\) | |||||||
\(128\) | −4.02917 | −0.356132 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.44479 | + | 15.0926i | −0.302128 | + | 1.32371i | ||||
\(131\) | −4.97101 | + | 2.39391i | −0.434319 | + | 0.209157i | −0.638251 | − | 0.769828i | \(-0.720342\pi\) |
0.203933 | + | 0.978985i | \(0.434628\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.4796 | + | 4.88828i | −0.908699 | + | 0.423868i | ||||
\(134\) | −2.86458 | + | 3.59207i | −0.247462 | + | 0.310308i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.65999 | − | 7.09740i | 0.485340 | − | 0.608597i | ||||
\(137\) | −0.473166 | + | 0.227865i | −0.0404253 | + | 0.0194678i | −0.453987 | − | 0.891008i | \(-0.649999\pi\) |
0.413562 | + | 0.910476i | \(0.364285\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.32272 | − | 4.48958i | −0.790743 | − | 0.380802i | −0.00549613 | − | 0.999985i | \(-0.501749\pi\) |
−0.785246 | + | 0.619183i | \(0.787464\pi\) | |||||||
\(140\) | −10.1521 | − | 47.1554i | −0.858012 | − | 3.98536i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.8953 | − | 7.65477i | −1.33390 | − | 0.642374i | ||||
\(143\) | 0.834204 | + | 3.65489i | 0.0697597 | + | 0.305637i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.60508 | + | 5.77459i | −0.382431 | + | 0.479553i | ||||
\(146\) | 15.1045 | 1.25006 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.63629 | 0.134502 | ||||||||
\(149\) | −6.20338 | + | 7.77879i | −0.508201 | + | 0.637263i | −0.968057 | − | 0.250730i | \(-0.919329\pi\) |
0.459856 | + | 0.887993i | \(0.347901\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.77824 | + | 16.5536i | 0.307469 | + | 1.34711i | 0.858581 | + | 0.512679i | \(0.171347\pi\) |
−0.551111 | + | 0.834432i | \(0.685796\pi\) | |||||||
\(152\) | 30.2438 | + | 14.5646i | 2.45310 | + | 1.18135i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.0844 | − | 12.9707i | −0.812622 | − | 1.04521i | ||||
\(155\) | −3.63124 | − | 1.74871i | −0.291668 | − | 0.140460i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.11255 | + | 1.01735i | −0.168599 | + | 0.0811932i | −0.516280 | − | 0.856420i | \(-0.672684\pi\) |
0.347681 | + | 0.937613i | \(0.386969\pi\) | |||||||
\(158\) | −20.7742 | + | 26.0500i | −1.65271 | + | 2.07243i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.5003 | + | 34.4842i | −2.17409 | + | 2.72622i | ||||
\(161\) | −14.1004 | − | 18.1362i | −1.11127 | − | 1.42933i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 19.6055 | − | 9.44151i | 1.53562 | − | 0.739516i | 0.540799 | − | 0.841152i | \(-0.318122\pi\) |
0.994822 | + | 0.101635i | \(0.0324075\pi\) | |||||||
\(164\) | 4.82364 | − | 21.1337i | 0.376663 | − | 1.65027i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 32.9018 | 2.55367 | ||||||||
\(167\) | 1.77097 | − | 7.75913i | 0.137042 | − | 0.600419i | −0.859034 | − | 0.511918i | \(-0.828935\pi\) |
0.996076 | − | 0.0885012i | \(-0.0282077\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.33159 | + | 10.2154i | 0.179353 | + | 0.785798i | ||||
\(170\) | −2.56391 | − | 11.2332i | −0.196643 | − | 0.861549i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.98132 | + | 12.5162i | 0.761068 | + | 0.954350i | ||||
\(173\) | 2.74726 | + | 12.0365i | 0.208871 | + | 0.915122i | 0.965320 | + | 0.261070i | \(0.0840752\pi\) |
−0.756449 | + | 0.654052i | \(0.773068\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −20.6919 | − | 10.2813i | −1.56416 | − | 0.777193i | ||||
\(176\) | −5.44420 | + | 23.8526i | −0.410372 | + | 1.79796i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.8777 | −1.19009 | ||||||||
\(179\) | 2.02462 | − | 8.87044i | 0.151327 | − | 0.663008i | −0.841173 | − | 0.540766i | \(-0.818134\pi\) |
0.992500 | − | 0.122242i | \(-0.0390084\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.00095 | + | 8.77892i | 0.520377 | + | 0.652532i | 0.970689 | − | 0.240339i | \(-0.0772587\pi\) |
−0.450312 | + | 0.892871i | \(0.648687\pi\) | |||||||
\(182\) | 6.78388 | + | 8.72555i | 0.502855 | + | 0.646781i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −14.8393 | + | 65.0152i | −1.09397 | + | 4.79298i | ||||
\(185\) | 0.768486 | − | 0.963650i | 0.0565002 | − | 0.0708490i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.73969 | − | 2.18150i | −0.127218 | − | 0.159527i | ||||
\(188\) | −35.1062 | − | 16.9063i | −2.56038 | − | 1.23302i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 38.3868 | − | 18.4861i | 2.78487 | − | 1.34112i | ||||
\(191\) | −23.0124 | − | 11.0822i | −1.66512 | − | 0.801880i | −0.998398 | − | 0.0565749i | \(-0.981982\pi\) |
−0.666723 | − | 0.745305i | \(-0.732304\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.97453 | − | 2.39561i | −0.358075 | − | 0.172440i | 0.246193 | − | 0.969221i | \(-0.420820\pi\) |
−0.604268 | + | 0.796781i | \(0.706534\pi\) | |||||||
\(194\) | −8.86175 | + | 11.1123i | −0.636236 | + | 0.797815i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −30.6491 | − | 15.7035i | −2.18922 | − | 1.12168i | ||||
\(197\) | 4.74955 | 0.338391 | 0.169196 | − | 0.985582i | \(-0.445883\pi\) | ||||
0.169196 | + | 0.985582i | \(0.445883\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −21.4876 | − | 10.3479i | −1.52321 | − | 0.733541i | −0.529800 | − | 0.848123i | \(-0.677733\pi\) |
−0.993414 | + | 0.114582i | \(0.963447\pi\) | |||||||
\(200\) | 14.9251 | + | 65.3910i | 1.05536 | + | 4.62384i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 32.3300 | − | 15.5693i | 2.27473 | − | 1.09545i | ||||
\(203\) | 1.10984 | + | 5.15508i | 0.0778956 | + | 0.361815i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.1807 | − | 12.7662i | −0.711052 | − | 0.891631i | ||||
\(206\) | −13.5349 | + | 6.51808i | −0.943023 | + | 0.454136i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.66238 | − | 16.0459i | 0.253940 | − | 1.11259i | ||||
\(209\) | 6.43297 | − | 8.06668i | 0.444978 | − | 0.557984i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.00157 | + | 3.76384i | 0.206636 | + | 0.259114i | 0.874341 | − | 0.485313i | \(-0.161294\pi\) |
−0.667704 | + | 0.744427i | \(0.732723\pi\) | |||||||
\(212\) | 16.8808 | − | 8.12939i | 1.15938 | − | 0.558328i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −35.1739 | −2.40444 | ||||||||
\(215\) | 12.0588 | 0.822403 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.60773 | + | 1.21639i | −0.177024 | + | 0.0825739i | ||||
\(218\) | 9.72857 | + | 42.6236i | 0.658902 | + | 2.88684i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 26.8341 | + | 33.6489i | 1.80915 | + | 2.26861i | ||||
\(221\) | 1.17031 | + | 1.46752i | 0.0787235 | + | 0.0987161i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.95117 | − | 26.0738i | −0.398520 | − | 1.74603i | −0.633229 | − | 0.773964i | \(-0.718271\pi\) |
0.234709 | − | 0.972066i | \(-0.424586\pi\) | |||||||
\(224\) | 6.62766 | + | 30.7847i | 0.442829 | + | 2.05689i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −51.0202 | −3.39381 | ||||||||
\(227\) | 2.14532 | 0.142390 | 0.0711948 | − | 0.997462i | \(-0.477319\pi\) | ||||
0.0711948 | + | 0.997462i | \(0.477319\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.11529 | − | 1.98182i | 0.271946 | − | 0.130962i | −0.292941 | − | 0.956130i | \(-0.594634\pi\) |
0.564887 | + | 0.825168i | \(0.308920\pi\) | |||||||
\(230\) | 52.7737 | + | 66.1761i | 3.47980 | + | 4.36353i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.54409 | − | 11.9679i | 0.626600 | − | 0.785732i | ||||
\(233\) | 2.24079 | − | 9.81754i | 0.146799 | − | 0.643168i | −0.846964 | − | 0.531651i | \(-0.821572\pi\) |
0.993763 | − | 0.111517i | \(-0.0355710\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −26.4441 | + | 12.7348i | −1.72502 | + | 0.830728i | ||||
\(236\) | −28.7740 | − | 36.0814i | −1.87303 | − | 2.34870i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.36690 | − | 3.66043i | −0.477525 | − | 0.237270i | ||||
\(239\) | −11.1072 | + | 5.34896i | −0.718467 | + | 0.345995i | −0.757137 | − | 0.653257i | \(-0.773402\pi\) |
0.0386697 | + | 0.999252i | \(0.487688\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.57862 | + | 15.6789i | 0.230519 | + | 1.00997i | 0.949211 | + | 0.314641i | \(0.101884\pi\) |
−0.718692 | + | 0.695329i | \(0.755259\pi\) | |||||||
\(242\) | −12.8626 | − | 6.19433i | −0.826842 | − | 0.398186i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 21.3239 | 1.36512 | ||||||||
\(245\) | −23.6425 | + | 10.6748i | −1.51046 | + | 0.681988i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.32754 | + | 5.42656i | −0.275355 | + | 0.345284i | ||||
\(248\) | 7.52580 | + | 3.62423i | 0.477889 | + | 0.230139i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 32.7867 | + | 15.7892i | 2.07361 | + | 0.998600i | ||||
\(251\) | 5.47558 | − | 2.63690i | 0.345615 | − | 0.166440i | −0.253020 | − | 0.967461i | \(-0.581424\pi\) |
0.598636 | + | 0.801021i | \(0.295710\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 18.4675 | + | 8.89347i | 1.16104 | + | 0.559128i | ||||
\(254\) | −17.4277 | − | 21.8536i | −1.09351 | − | 1.37122i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.58590 | + | 8.25846i | −0.411619 | + | 0.516154i | ||||
\(257\) | −2.97819 | + | 13.0483i | −0.185775 | + | 0.813931i | 0.793038 | + | 0.609172i | \(0.208498\pi\) |
−0.978812 | + | 0.204759i | \(0.934359\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.185208 | − | 0.860268i | −0.0115083 | − | 0.0534544i | ||||
\(260\) | −18.0516 | − | 22.6360i | −1.11951 | − | 1.40383i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.22960 | − | 14.1498i | 0.199525 | − | 0.874178i | ||||
\(263\) | 2.07904 | 0.128199 | 0.0640995 | − | 0.997944i | \(-0.479582\pi\) | ||||
0.0640995 | + | 0.997944i | \(0.479582\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.14051 | − | 13.7595i | 0.192920 | − | 0.845238i | ||||
\(266\) | 7.13435 | − | 29.5701i | 0.437435 | − | 1.81306i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.91204 | − | 8.37720i | −0.116797 | − | 0.511719i | ||||
\(269\) | 16.8800 | + | 21.1669i | 1.02919 | + | 1.29057i | 0.956036 | + | 0.293248i | \(0.0947361\pi\) |
0.0731575 | + | 0.997320i | \(0.476692\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.40448 | + | 10.5347i | 0.146062 | + | 0.639939i | 0.993957 | + | 0.109774i | \(0.0350128\pi\) |
−0.847895 | + | 0.530165i | \(0.822130\pi\) | |||||||
\(272\) | 2.72586 | + | 11.9428i | 0.165280 | + | 0.724137i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.307410 | − | 1.34685i | 0.0185713 | − | 0.0813662i | ||||
\(275\) | 20.6158 | 1.24318 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.84359 | − | 8.07732i | 0.110771 | − | 0.485319i | −0.888861 | − | 0.458177i | \(-0.848502\pi\) |
0.999632 | − | 0.0271414i | \(-0.00864044\pi\) | |||||||
\(278\) | 24.5237 | − | 11.8100i | 1.47083 | − | 0.708316i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 67.4372 | + | 33.5079i | 4.03015 | + | 2.00248i | ||||
\(281\) | 10.3342 | − | 12.9587i | 0.616488 | − | 0.773051i | −0.371358 | − | 0.928490i | \(-0.621108\pi\) |
0.987846 | + | 0.155439i | \(0.0496791\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.79315 | − | 6.01042i | 0.284923 | − | 0.357282i | −0.618687 | − | 0.785637i | \(-0.712335\pi\) |
0.903611 | + | 0.428355i | \(0.140907\pi\) | |||||||
\(284\) | 29.7278 | − | 14.3162i | 1.76402 | − | 0.849508i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.88495 | − | 4.27876i | −0.525378 | − | 0.253009i | ||||
\(287\) | −11.6569 | − | 0.143915i | −0.688083 | − | 0.00849503i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.0578 | + | 6.76987i | 0.826928 | + | 0.398228i | ||||
\(290\) | −4.32337 | − | 18.9419i | −0.253877 | − | 1.11231i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −17.6129 | + | 22.0859i | −1.03072 | + | 1.29248i | ||||
\(293\) | −4.45129 | −0.260047 | −0.130023 | − | 0.991511i | \(-0.541505\pi\) | ||||
−0.130023 | + | 0.991511i | \(0.541505\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −34.7629 | −2.02397 | ||||||||
\(296\) | −1.59270 | + | 1.99718i | −0.0925736 | + | 0.116084i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.82389 | − | 25.5161i | −0.337369 | − | 1.47811i | ||||
\(299\) | −12.4233 | − | 5.98275i | −0.718458 | − | 0.345991i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.45052 | − | 6.66427i | 0.314163 | − | 0.384122i | ||||
\(302\) | −40.2413 | − | 19.3792i | −2.31563 | − | 1.11515i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −40.8115 | + | 19.6538i | −2.34070 | + | 1.12722i | ||||
\(305\) | 10.0148 | − | 12.5581i | 0.573445 | − | 0.719077i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.69364 | + | 4.63168i | −0.210807 | + | 0.264344i | −0.875982 | − | 0.482344i | \(-0.839786\pi\) |
0.665175 | + | 0.746688i | \(0.268357\pi\) | |||||||
\(308\) | 30.7249 | + | 0.379327i | 1.75071 | + | 0.0216142i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.55209 | − | 4.60005i | 0.542522 | − | 0.261265i | ||||
\(311\) | 0.146839 | − | 0.643346i | 0.00832650 | − | 0.0364808i | −0.970594 | − | 0.240722i | \(-0.922616\pi\) |
0.978921 | + | 0.204242i | \(0.0654728\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −16.5632 | −0.936209 | −0.468104 | − | 0.883673i | \(-0.655063\pi\) | ||||
−0.468104 | + | 0.883673i | \(0.655063\pi\) | |||||||
\(314\) | 1.37249 | − | 6.01329i | 0.0774543 | − | 0.339350i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −13.8663 | − | 60.7522i | −0.780040 | − | 3.41758i | ||||
\(317\) | −1.17043 | − | 5.12797i | −0.0657377 | − | 0.288015i | 0.931365 | − | 0.364088i | \(-0.118619\pi\) |
−0.997102 | + | 0.0760723i | \(0.975762\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.93353 | − | 3.67853i | −0.164246 | − | 0.205958i | ||||
\(320\) | −8.72523 | − | 38.2277i | −0.487755 | − | 2.13700i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 60.4256 | + | 0.746011i | 3.36739 | + | 0.0415736i | ||||
\(323\) | 1.14953 | − | 5.03644i | 0.0639618 | − | 0.280235i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.8685 | −0.769288 | ||||||||
\(326\) | −12.7374 | + | 55.8064i | −0.705462 | + | 3.09083i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 21.0997 | + | 26.4582i | 1.16503 | + | 1.46091i | ||||
\(329\) | −4.91475 | + | 20.3704i | −0.270959 | + | 1.12306i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.83062 | − | 12.4018i | 0.155585 | − | 0.681663i | −0.835618 | − | 0.549311i | \(-0.814890\pi\) |
0.991203 | − | 0.132352i | \(-0.0422528\pi\) | |||||||
\(332\) | −38.3657 | + | 48.1091i | −2.10559 | + | 2.64033i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 13.0531 | + | 16.3680i | 0.714233 | + | 0.895620i | ||||
\(335\) | −5.83152 | − | 2.80831i | −0.318610 | − | 0.153434i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.2630 | + | 13.1292i | −1.48511 | + | 0.715192i | −0.988280 | − | 0.152655i | \(-0.951218\pi\) |
−0.496832 | + | 0.867847i | \(0.665503\pi\) | |||||||
\(338\) | −24.8333 | − | 11.9591i | −1.35076 | − | 0.650489i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.4150 | + | 9.34975i | 1.05292 | + | 0.507061i | ||||
\(341\) | 1.60076 | − | 2.00730i | 0.0866863 | − | 0.108701i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.78688 | + | 17.8909i | −0.258467 | + | 0.966020i | ||||
\(344\) | −24.9920 | −1.34748 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −29.2606 | − | 14.0911i | −1.57306 | − | 0.757545i | ||||
\(347\) | −4.80548 | − | 21.0542i | −0.257972 | − | 1.13025i | −0.923416 | − | 0.383801i | \(-0.874615\pi\) |
0.665444 | − | 0.746448i | \(-0.268242\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.3411 | − | 8.35103i | 0.928247 | − | 0.447020i | 0.0922389 | − | 0.995737i | \(-0.470598\pi\) |
0.836008 | + | 0.548717i | \(0.184883\pi\) | |||||||
\(350\) | 55.0818 | − | 25.6932i | 2.94425 | − | 1.37336i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.5182 | − | 21.9671i | −0.933724 | − | 1.17085i | ||||
\(353\) | 23.1326 | − | 11.1401i | 1.23122 | − | 0.592925i | 0.298807 | − | 0.954314i | \(-0.403411\pi\) |
0.932415 | + | 0.361388i | \(0.117697\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.53056 | − | 24.2310i | 0.293532 | − | 1.28605i | ||||
\(356\) | 18.5145 | − | 23.2165i | 0.981267 | − | 1.23047i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.9226 | + | 18.7124i | 0.788686 | + | 0.988981i | ||||
\(359\) | 3.40530 | − | 1.63990i | 0.179725 | − | 0.0865508i | −0.341858 | − | 0.939752i | \(-0.611056\pi\) |
0.521583 | + | 0.853201i | \(0.325342\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.102568 | 0.00539830 | ||||||||
\(362\) | −29.5373 | −1.55245 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −20.6690 | − | 0.255178i | −1.08335 | − | 0.0133750i | ||||
\(365\) | 4.73497 | + | 20.7453i | 0.247840 | + | 1.08586i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.5187 | + | 15.6980i | 0.653471 | + | 0.819427i | 0.992615 | − | 0.121308i | \(-0.0387088\pi\) |
−0.339144 | + | 0.940735i | \(0.610137\pi\) | |||||||
\(368\) | −56.1071 | − | 70.3561i | −2.92479 | − | 3.66757i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.721474 | + | 3.16098i | 0.0375076 | + | 0.164332i | ||||
\(371\) | −6.18466 | − | 7.95482i | −0.321091 | − | 0.412994i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.04110 | 0.416352 | 0.208176 | − | 0.978091i | \(-0.433247\pi\) | ||||
0.208176 | + | 0.978091i | \(0.433247\pi\) | |||||||
\(374\) | 7.33981 | 0.379533 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 54.8058 | − | 26.3931i | 2.82639 | − | 1.36112i | ||||
\(377\) | 1.97342 | + | 2.47459i | 0.101636 | + | 0.127448i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.2814 | − | 26.6860i | 1.09315 | − | 1.37077i | 0.170400 | − | 0.985375i | \(-0.445494\pi\) |
0.922752 | − | 0.385395i | \(-0.125935\pi\) | |||||||
\(380\) | −17.7312 | + | 77.6854i | −0.909591 | + | 3.98518i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 60.5349 | − | 29.1521i | 3.09724 | − | 1.49155i | ||||
\(383\) | −6.88117 | − | 8.62871i | −0.351611 | − | 0.440907i | 0.574302 | − | 0.818644i | \(-0.305274\pi\) |
−0.925913 | + | 0.377737i | \(0.876702\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.6533 | − | 17.9164i | 0.746803 | − | 0.913105i | ||||
\(386\) | 13.0857 | − | 6.30172i | 0.666043 | − | 0.320749i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.91501 | − | 25.9153i | −0.300289 | − | 1.31565i | ||||
\(389\) | 28.8995 | + | 13.9173i | 1.46526 | + | 0.705633i | 0.985169 | − | 0.171584i | \(-0.0548886\pi\) |
0.480093 | + | 0.877218i | \(0.340603\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.2628 | 0.519014 | ||||||||
\(392\) | 48.9994 | − | 22.1237i | 2.47484 | − | 1.11741i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.78978 | + | 9.76807i | −0.392443 | + | 0.492108i | ||||
\(395\) | −42.2906 | − | 20.3661i | −2.12787 | − | 1.02473i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 30.8641 | + | 14.8634i | 1.54902 | + | 0.745971i | 0.996181 | − | 0.0873143i | \(-0.0278284\pi\) |
0.552844 | + | 0.833285i | \(0.313543\pi\) | |||||||
\(398\) | 56.5237 | − | 27.2204i | 2.83328 | − | 1.36443i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −81.5459 | − | 39.2704i | −4.07729 | − | 1.96352i | ||||
\(401\) | 10.8864 | + | 13.6511i | 0.543639 | + | 0.681702i | 0.975440 | − | 0.220267i | \(-0.0706929\pi\) |
−0.431800 | + | 0.901969i | \(0.642121\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.07685 | + | 1.35033i | −0.0536419 | + | 0.0672649i | ||||
\(404\) | −14.9335 | + | 65.4280i | −0.742970 | + | 3.25516i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.4224 | − | 6.17235i | −0.616511 | − | 0.306329i | ||||
\(407\) | 0.489540 | + | 0.613864i | 0.0242656 | + | 0.0304281i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.22115 | + | 36.0192i | −0.406510 | + | 1.78103i | 0.193562 | + | 0.981088i | \(0.437996\pi\) |
−0.600071 | + | 0.799946i | \(0.704861\pi\) | |||||||
\(410\) | 42.9529 | 2.12129 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.25190 | − | 27.3913i | 0.308009 | − | 1.34947i | ||||
\(413\) | −15.7127 | + | 19.2116i | −0.773169 | + | 0.945343i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.3141 | + | 45.1889i | 0.506298 | + | 2.21824i | ||||
\(416\) | 11.7847 | + | 14.7776i | 0.577793 | + | 0.724530i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.03943 | + | 26.4605i | 0.295398 | + | 1.29422i | ||||
\(419\) | −3.18099 | − | 13.9368i | −0.155401 | − | 0.680858i | −0.991261 | − | 0.131915i | \(-0.957887\pi\) |
0.835860 | − | 0.548943i | \(-0.184970\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.98606 | + | 21.8454i | −0.243006 | + | 1.06468i | 0.695259 | + | 0.718760i | \(0.255290\pi\) |
−0.938265 | + | 0.345919i | \(0.887567\pi\) | |||||||
\(422\) | −12.6637 | −0.616461 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.50875 | + | 28.5167i | −0.316093 | + | 1.38489i | ||||
\(425\) | 9.29994 | − | 4.47861i | 0.451113 | − | 0.217245i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.41360 | − | 11.2109i | −0.116802 | − | 0.542532i | ||||
\(428\) | 41.0152 | − | 51.4314i | 1.98254 | − | 2.48603i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.7777 | + | 24.8005i | −0.953767 | + | 1.19599i | ||||
\(431\) | −30.2267 | + | 14.5564i | −1.45597 | + | 0.701159i | −0.983620 | − | 0.180252i | \(-0.942309\pi\) |
−0.472351 | + | 0.881411i | \(0.656594\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.64887 | + | 4.16508i | 0.415638 | + | 0.200161i | 0.630003 | − | 0.776593i | \(-0.283054\pi\) |
−0.214365 | + | 0.976754i | \(0.568768\pi\) | |||||||
\(434\) | 1.77529 | − | 7.35815i | 0.0852169 | − | 0.353202i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −73.6686 | − | 35.4769i | −3.52809 | − | 1.69904i | ||||
\(437\) | 8.44459 | + | 36.9982i | 0.403959 | + | 1.76986i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.5731 | + | 14.5123i | −0.552356 | + | 0.692633i | −0.977124 | − | 0.212669i | \(-0.931784\pi\) |
0.424768 | + | 0.905302i | \(0.360356\pi\) | |||||||
\(440\) | −67.1893 | −3.20312 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.93758 | −0.234857 | ||||||||
\(443\) | 3.80975 | − | 4.77727i | 0.181007 | − | 0.226975i | −0.683048 | − | 0.730374i | \(-0.739346\pi\) |
0.864054 | + | 0.503399i | \(0.167917\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.97736 | − | 21.8072i | −0.235949 | − | 1.03376i | ||||
\(446\) | 63.3848 | + | 30.5245i | 3.00136 | + | 1.44538i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.0703 | − | 12.4568i | −1.18446 | − | 0.588528i | ||||
\(449\) | −29.9358 | − | 14.4163i | −1.41276 | − | 0.680348i | −0.437051 | − | 0.899437i | \(-0.643977\pi\) |
−0.975705 | + | 0.219089i | \(0.929691\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.37155 | − | 4.51310i | 0.441289 | − | 0.212514i | ||||
\(452\) | 59.4930 | − | 74.6019i | 2.79832 | − | 3.50898i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.51855 | + | 4.41213i | −0.165134 | + | 0.207071i | ||||
\(455\) | −9.85748 | + | 12.0526i | −0.462126 | + | 0.565035i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.09578 | + | 3.89872i | −0.378705 | + | 0.182375i | −0.613546 | − | 0.789659i | \(-0.710257\pi\) |
0.234841 | + | 0.972034i | \(0.424543\pi\) | |||||||
\(458\) | −2.67365 | + | 11.7140i | −0.124931 | + | 0.547361i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −158.301 | −7.38081 | ||||||||
\(461\) | −8.52864 | + | 37.3664i | −0.397219 | + | 1.74033i | 0.241048 | + | 0.970513i | \(0.422509\pi\) |
−0.638267 | + | 0.769815i | \(0.720348\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.09641 | − | 9.18499i | −0.0974286 | − | 0.426863i | 0.902565 | − | 0.430554i | \(-0.141682\pi\) |
−0.999993 | + | 0.00369190i | \(0.998825\pi\) | |||||||
\(464\) | 4.59645 | + | 20.1384i | 0.213385 | + | 0.934900i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.5159 | + | 20.7103i | 0.765085 | + | 0.959387i | ||||
\(467\) | 3.51000 | + | 15.3783i | 0.162423 | + | 0.711623i | 0.988891 | + | 0.148639i | \(0.0474894\pi\) |
−0.826468 | + | 0.562983i | \(0.809653\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.18783 | + | 1.95343i | −0.193376 | + | 0.0902012i | ||||
\(470\) | 17.1804 | − | 75.2723i | 0.792473 | − | 3.47205i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 72.0465 | 3.31621 | ||||||||
\(473\) | −1.70934 | + | 7.48909i | −0.0785954 | + | 0.344349i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.7980 | + | 29.8417i | 1.09193 | + | 1.36923i | ||||
\(476\) | 13.9426 | − | 6.50360i | 0.639058 | − | 0.298092i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.21623 | − | 31.6164i | 0.330063 | − | 1.44610i | ||||
\(479\) | 25.4176 | − | 31.8727i | 1.16136 | − | 1.45630i | 0.295973 | − | 0.955196i | \(-0.404356\pi\) |
0.865387 | − | 0.501104i | \(-0.167072\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.329320 | − | 0.412954i | −0.0150157 | − | 0.0188291i | ||||
\(482\) | −38.1151 | − | 18.3553i | −1.73610 | − | 0.836060i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 24.0561 | − | 11.5848i | 1.09346 | − | 0.526582i | ||||
\(485\) | −18.0401 | − | 8.68766i | −0.819160 | − | 0.394487i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.16003 | + | 2.48494i | 0.233823 | + | 0.112603i | 0.547127 | − | 0.837050i | \(-0.315721\pi\) |
−0.313304 | + | 0.949653i | \(0.601436\pi\) | |||||||
\(488\) | −20.7558 | + | 26.0269i | −0.939570 | + | 1.17818i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.8221 | − | 66.1317i | 0.759946 | − | 2.98753i | ||||
\(491\) | 22.5984 | 1.01985 | 0.509926 | − | 0.860218i | \(-0.329673\pi\) | ||||
0.509926 | + | 0.860218i | \(0.329673\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.12246 | − | 1.02212i | −0.0955909 | − | 0.0460341i | ||||
\(494\) | −4.06280 | − | 17.8003i | −0.182794 | − | 0.800873i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.1554 | + | 4.89061i | −0.455993 | + | 0.219595i | ||||
\(497\) | −10.8914 | − | 14.0088i | −0.488547 | − | 0.628378i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.28859 | − | 4.12376i | −0.147217 | − | 0.184605i | 0.702755 | − | 0.711432i | \(-0.251953\pi\) |
−0.849972 | + | 0.526827i | \(0.823382\pi\) | |||||||
\(500\) | −61.3186 | + | 29.5295i | −2.74225 | + | 1.32060i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.55741 | + | 15.5860i | −0.158775 | + | 0.695639i | ||||
\(503\) | −7.11352 | + | 8.92007i | −0.317176 | + | 0.397726i | −0.914706 | − | 0.404120i | \(-0.867578\pi\) |
0.597530 | + | 0.801847i | \(0.296149\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 31.5185 | + | 39.5229i | 1.40255 | + | 1.75875i | ||||
\(506\) | −48.5793 | + | 23.3945i | −2.15961 | + | 1.04001i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 52.2763 | 2.31939 | ||||||||
\(509\) | −12.3649 | −0.548064 | −0.274032 | − | 0.961721i | \(-0.588357\pi\) | ||||
−0.274032 | + | 0.961721i | \(0.588357\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.6050 | + | 6.75999i | 0.601850 | + | 0.299044i | ||||
\(512\) | −7.97616 | − | 34.9458i | −0.352500 | − | 1.54440i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.9510 | − | 27.5257i | −0.968218 | − | 1.21411i | ||||
\(515\) | −13.1952 | − | 16.5462i | −0.581449 | − | 0.729114i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.16048 | − | 18.2282i | −0.182978 | − | 0.801677i | ||||
\(518\) | 2.07302 | + | 1.03003i | 0.0910831 | + | 0.0452569i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 45.1990 | 1.98211 | ||||||||
\(521\) | 40.7629 | 1.78586 | 0.892928 | − | 0.450199i | \(-0.148647\pi\) | ||||
0.892928 | + | 0.450199i | \(0.148647\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.98227 | − | 1.43618i | 0.130405 | − | 0.0627999i | −0.367543 | − | 0.930006i | \(-0.619801\pi\) |
0.497949 | + | 0.867206i | \(0.334087\pi\) | |||||||
\(524\) | 16.9240 | + | 21.2220i | 0.739326 | + | 0.927086i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.40985 | + | 4.27582i | −0.148677 | + | 0.186435i | ||||
\(527\) | 0.286048 | − | 1.25326i | 0.0124604 | − | 0.0545927i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −47.2033 | + | 22.7319i | −2.05232 | + | 0.988343i | ||||
\(530\) | 23.1474 | + | 29.0259i | 1.00546 | + | 1.26081i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 34.9183 | + | 44.9126i | 1.51390 | + | 1.94721i | ||||
\(533\) | −6.30436 | + | 3.03602i | −0.273072 | + | 0.131505i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.0263 | − | 48.3095i | −0.476710 | − | 2.08860i | ||||
\(536\) | 12.0859 | + | 5.82026i | 0.522031 | + | 0.251397i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −71.2176 | −3.07041 | ||||||||
\(539\) | −3.27824 | − | 16.1963i | −0.141204 | − | 0.697623i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.24162 | − | 6.57279i | 0.225355 | − | 0.282586i | −0.656281 | − | 0.754517i | \(-0.727871\pi\) |
0.881636 | + | 0.471931i | \(0.156443\pi\) | |||||||
\(542\) | −25.6097 | − | 12.3330i | −1.10003 | − | 0.529746i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −12.6748 | − | 6.10384i | −0.543426 | − | 0.261700i | ||||
\(545\) | −55.4916 | + | 26.7234i | −2.37700 | + | 1.14470i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.17374 | + | 1.04682i | 0.0929422 | + | 0.0447586i | 0.479777 | − | 0.877390i | \(-0.340717\pi\) |
−0.386835 | + | 0.922149i | \(0.626432\pi\) | |||||||
\(548\) | 1.61091 | + | 2.02002i | 0.0688146 | + | 0.0862908i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −33.8122 | + | 42.3992i | −1.44176 | + | 1.80791i | ||||
\(551\) | 1.93839 | − | 8.49265i | 0.0825782 | − | 0.361799i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −30.3705 | + | 14.1665i | −1.29148 | + | 0.602419i | ||||
\(554\) | 13.5884 | + | 17.0393i | 0.577314 | + | 0.723929i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −11.3277 | + | 49.6299i | −0.480401 | + | 2.10478i | ||||
\(557\) | 14.6350 | 0.620105 | 0.310053 | − | 0.950719i | \(-0.399653\pi\) | ||||
0.310053 | + | 0.950719i | \(0.399653\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.14989 | − | 5.03800i | 0.0486352 | − | 0.213085i | ||||
\(560\) | −92.0896 | + | 42.9557i | −3.89150 | + | 1.81521i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.70203 | + | 42.5074i | 0.409255 | + | 1.79307i | ||||
\(563\) | −10.1188 | − | 12.6885i | −0.426455 | − | 0.534757i | 0.521463 | − | 0.853274i | \(-0.325387\pi\) |
−0.947917 | + | 0.318517i | \(0.896815\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.9938 | − | 70.0736i | −0.672866 | − | 2.94802i | ||||
\(566\) | 4.49993 | + | 19.7155i | 0.189146 | + | 0.828704i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.4622 | + | 50.2191i | −0.480942 | + | 2.10714i | ||||
\(569\) | 27.0974 | 1.13598 | 0.567992 | − | 0.823034i | \(-0.307720\pi\) | ||||
0.567992 | + | 0.823034i | \(0.307720\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.85621 | + | 38.8016i | −0.370621 | + | 1.62380i | 0.354417 | + | 0.935087i | \(0.384679\pi\) |
−0.725038 | + | 0.688709i | \(0.758178\pi\) | |||||||
\(572\) | 16.6169 | − | 8.00227i | 0.694786 | − | 0.334592i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 19.4145 | − | 23.7378i | 0.810346 | − | 0.990798i | ||||
\(575\) | −47.2777 | + | 59.2843i | −1.97161 | + | 2.47233i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.0478 | + | 20.1233i | −0.668080 | + | 0.837746i | −0.994196 | − | 0.107584i | \(-0.965689\pi\) |
0.326116 | + | 0.945330i | \(0.394260\pi\) | |||||||
\(578\) | −36.9794 | + | 17.8083i | −1.53814 | + | 0.740730i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 32.7383 | + | 15.7659i | 1.35938 | + | 0.654644i | ||||
\(581\) | 29.6355 | + | 14.7251i | 1.22949 | + | 0.610901i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.10013 | + | 3.90082i | 0.335473 | + | 0.161555i | ||||
\(584\) | −9.81329 | − | 42.9948i | −0.406077 | − | 1.77914i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.30060 | − | 9.15466i | 0.301585 | − | 0.378175i | ||||
\(587\) | 23.5626 | 0.972532 | 0.486266 | − | 0.873811i | \(-0.338359\pi\) | ||||
0.486266 | + | 0.873811i | \(0.338359\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.75344 | 0.195862 | ||||||||
\(590\) | 57.0149 | − | 71.4944i | 2.34727 | − | 2.94338i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.767046 | − | 3.36065i | −0.0315254 | − | 0.138122i | ||||
\(593\) | −26.9642 | − | 12.9853i | −1.10729 | − | 0.533241i | −0.211344 | − | 0.977412i | \(-0.567784\pi\) |
−0.895942 | + | 0.444171i | \(0.853498\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.71803 | − | 11.2655i | 0.111428 | − | 0.461842i | ||||
\(596\) | 44.1008 | + | 21.2378i | 1.80644 | + | 0.869936i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 32.6799 | − | 15.7378i | 1.33638 | − | 0.643566i | ||||
\(599\) | −15.3462 | + | 19.2435i | −0.627028 | + | 0.786268i | −0.989314 | − | 0.145799i | \(-0.953425\pi\) |
0.362286 | + | 0.932067i | \(0.381996\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.2161 | − | 19.0804i | 0.620678 | − | 0.778306i | −0.367761 | − | 0.929920i | \(-0.619876\pi\) |
0.988440 | + | 0.151614i | \(0.0484471\pi\) | |||||||
\(602\) | 4.76651 | + | 22.1398i | 0.194268 | + | 0.902352i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 75.2605 | − | 36.2435i | 3.06231 | − | 1.47473i | ||||
\(605\) | 4.47539 | − | 19.6080i | 0.181951 | − | 0.797178i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.4914 | 1.48114 | 0.740570 | − | 0.671979i | \(-0.234556\pi\) | ||||
0.740570 | + | 0.671979i | \(0.234556\pi\) | |||||||
\(608\) | 11.5755 | − | 50.7157i | 0.469450 | − | 2.05679i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.40213 | + | 41.1934i | 0.380681 | + | 1.66787i | ||||
\(611\) | 2.79880 | + | 12.2624i | 0.113228 | + | 0.496082i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.9483 | − | 21.2525i | −0.684537 | − | 0.858382i | 0.311226 | − | 0.950336i | \(-0.399260\pi\) |
−0.995763 | + | 0.0919537i | \(0.970689\pi\) | |||||||
\(614\) | −3.46768 | − | 15.1929i | −0.139944 | − | 0.613136i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −30.3692 | + | 37.1320i | −1.22361 | + | 1.49609i | ||||
\(617\) | −1.80715 | + | 7.91765i | −0.0727532 | + | 0.318753i | −0.998189 | − | 0.0601511i | \(-0.980842\pi\) |
0.925436 | + | 0.378904i | \(0.123699\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.8642 | 1.11995 | 0.559977 | − | 0.828508i | \(-0.310810\pi\) | ||||
0.559977 | + | 0.828508i | \(0.310810\pi\) | |||||||
\(620\) | −4.41219 | + | 19.3311i | −0.177198 | + | 0.776354i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.08229 | + | 1.35715i | 0.0433960 | + | 0.0544168i | ||||
\(623\) | −14.3015 | − | 7.10604i | −0.572976 | − | 0.284697i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.69130 | + | 7.41009i | −0.0676522 | + | 0.296404i | ||||
\(626\) | 27.1655 | − | 34.0645i | 1.08575 | − | 1.36149i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.19223 | + | 9.01877i | 0.287001 | + | 0.359888i | ||||
\(629\) | 0.354192 | + | 0.170570i | 0.0141225 | + | 0.00680106i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.19319 | + | 3.94563i | −0.326166 | + | 0.157073i | −0.589800 | − | 0.807550i | \(-0.700793\pi\) |
0.263634 | + | 0.964623i | \(0.415079\pi\) | |||||||
\(632\) | 87.6479 | + | 42.2090i | 3.48645 | + | 1.67898i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 12.4660 | + | 6.00330i | 0.495087 | + | 0.238421i | ||||
\(635\) | 24.5516 | − | 30.7867i | 0.974299 | − | 1.22173i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.20531 | + | 10.8954i | 0.0873777 | + | 0.431693i | ||||
\(638\) | 12.3767 | 0.489997 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 13.4527 | + | 6.47846i | 0.531763 | + | 0.256084i | ||||
\(641\) | 0.0794040 | + | 0.347892i | 0.00313627 | + | 0.0137409i | 0.976472 | − | 0.215645i | \(-0.0691854\pi\) |
−0.973336 | + | 0.229386i | \(0.926328\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.2290 | + | 11.1865i | −0.916063 | + | 0.441153i | −0.831664 | − | 0.555279i | \(-0.812611\pi\) |
−0.0843990 | + | 0.996432i | \(0.526897\pi\) | |||||||
\(644\) | −71.5512 | + | 87.4846i | −2.81951 | + | 3.44738i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.47274 | + | 10.6245i | 0.333356 | + | 0.418015i | ||||
\(647\) | 22.9231 | − | 11.0392i | 0.901201 | − | 0.433995i | 0.0748783 | − | 0.997193i | \(-0.476143\pi\) |
0.826323 | + | 0.563197i | \(0.190429\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.92764 | − | 21.5894i | 0.193427 | − | 0.847459i | ||||
\(650\) | 22.7459 | − | 28.5225i | 0.892168 | − | 1.11874i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −66.7476 | − | 83.6988i | −2.61404 | − | 3.27790i | ||||
\(653\) | 6.02411 | − | 2.90106i | 0.235742 | − | 0.113527i | −0.312284 | − | 0.949989i | \(-0.601094\pi\) |
0.548025 | + | 0.836462i | \(0.315380\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.4464 | 0.798908 | ||||||||
\(656\) | −45.6660 | −1.78296 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −33.8337 | − | 43.5175i | −1.31897 | − | 1.69649i | ||||
\(659\) | −3.75573 | − | 16.4549i | −0.146303 | − | 0.640993i | −0.993894 | − | 0.110343i | \(-0.964805\pi\) |
0.847591 | − | 0.530650i | \(-0.178052\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.01500 | − | 2.52673i | −0.0783743 | − | 0.0982783i | 0.741099 | − | 0.671396i | \(-0.234305\pi\) |
−0.819473 | + | 0.573118i | \(0.805734\pi\) | |||||||
\(662\) | 20.8633 | + | 26.1618i | 0.810877 | + | 1.01681i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −21.3760 | − | 93.6546i | −0.829552 | − | 3.63450i | ||||
\(665\) | 42.8494 | + | 0.529016i | 1.66163 | + | 0.0205144i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 17.3056 | 0.670075 | ||||||||
\(668\) | −39.1542 | −1.51492 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.3400 | − | 7.38735i | 0.592635 | − | 0.285398i | ||||
\(671\) | 6.37961 | + | 7.99978i | 0.246282 | + | 0.308828i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.1152 | − | 16.4459i | 0.505553 | − | 0.633944i | −0.461919 | − | 0.886922i | \(-0.652839\pi\) |
0.967472 | + | 0.252979i | \(0.0814102\pi\) | |||||||
\(674\) | 17.7124 | − | 77.6033i | 0.682258 | − | 2.98917i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 46.4440 | − | 22.3663i | 1.78631 | − | 0.860240i | ||||
\(677\) | 2.87253 | + | 3.60204i | 0.110400 | + | 0.138438i | 0.833962 | − | 0.551823i | \(-0.186067\pi\) |
−0.723561 | + | 0.690260i | \(0.757496\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.9553 | + | 6.04306i | −0.497178 | + | 0.231911i | ||||
\(680\) | −30.3095 | + | 14.5963i | −1.16232 | + | 0.559742i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.50284 | + | 6.58437i | 0.0575467 | + | 0.252129i | ||||
\(683\) | 15.2335 | + | 7.33605i | 0.582892 | + | 0.280706i | 0.702002 | − | 0.712175i | \(-0.252290\pi\) |
−0.119110 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.94620 | 0.0743603 | ||||||||
\(686\) | −28.9441 | − | 39.1880i | −1.10509 | − | 1.49620i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.0270 | − | 26.3670i | 0.801646 | − | 1.00523i | ||||
\(689\) | −5.44906 | − | 2.62413i | −0.207593 | − | 0.0999714i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.0385 | − | 10.1316i | −0.800343 | − | 0.385425i | −0.0114341 | − | 0.999935i | \(-0.503640\pi\) |
−0.788909 | + | 0.614510i | \(0.789354\pi\) | |||||||
\(692\) | 54.7239 | − | 26.3537i | 2.08029 | − | 1.00182i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 51.1822 | + | 24.6481i | 1.94285 | + | 0.935628i | ||||
\(695\) | 23.9081 | + | 29.9798i | 0.906886 | + | 1.13720i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.24714 | − | 4.07178i | 0.122994 | − | 0.154230i | ||||
\(698\) | −11.2663 | + | 49.3608i | −0.426435 | + | 1.86834i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −26.6605 | + | 110.501i | −1.00767 | + | 4.17654i | ||||
\(701\) | −17.6241 | − | 22.0999i | −0.665652 | − | 0.834702i | 0.328293 | − | 0.944576i | \(-0.393527\pi\) |
−0.993945 | + | 0.109874i | \(0.964955\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.323474 | + | 1.41723i | −0.0122001 | + | 0.0534520i | ||||
\(704\) | 24.9781 | 0.941397 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −15.0289 | + | 65.8461i | −0.565621 | + | 2.47815i | ||||
\(707\) | 36.0885 | + | 0.445546i | 1.35725 | + | 0.0167565i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.33265 | − | 10.2200i | −0.0876045 | − | 0.383821i | 0.912051 | − | 0.410077i | \(-0.134498\pi\) |
−0.999655 | + | 0.0262569i | \(0.991641\pi\) | |||||||
\(710\) | 40.7635 | + | 51.1158i | 1.52983 | + | 1.91834i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.3156 | + | 45.1958i | 0.386595 | + | 1.69378i | ||||
\(713\) | 2.10133 | + | 9.20654i | 0.0786955 | + | 0.344788i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.09140 | − | 13.5443i | 0.115612 | − | 0.506529i | ||||
\(716\) | −44.7621 | −1.67284 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.21238 | + | 9.69306i | −0.0825652 | + | 0.361742i | ||||
\(719\) | 38.5868 | − | 18.5824i | 1.43904 | − | 0.693007i | 0.458388 | − | 0.888752i | \(-0.348427\pi\) |
0.980655 | + | 0.195745i | \(0.0627126\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.1084 | − | 0.186527i | −0.562667 | − | 0.00694665i | ||||
\(722\) | −0.168222 | + | 0.210944i | −0.00626059 | + | 0.00785053i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 34.4425 | − | 43.1896i | 1.28005 | − | 1.60513i | ||||
\(725\) | 15.6819 | − | 7.55202i | 0.582412 | − | 0.280475i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −35.7334 | − | 17.2083i | −1.32528 | − | 0.638221i | −0.368661 | − | 0.929564i | \(-0.620184\pi\) |
−0.956619 | + | 0.291342i | \(0.905898\pi\) | |||||||
\(728\) | 20.4298 | − | 24.9792i | 0.757177 | − | 0.925790i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −50.4312 | − | 24.2864i | −1.86654 | − | 0.898880i | ||||
\(731\) | 0.855848 | + | 3.74972i | 0.0316547 | + | 0.138688i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.3452 | + | 15.4804i | −0.455979 | + | 0.571780i | −0.955676 | − | 0.294420i | \(-0.904873\pi\) |
0.499697 | + | 0.866200i | \(0.333445\pi\) | |||||||
\(734\) | −52.8170 | −1.94951 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 103.344 | 3.80932 | ||||||||
\(737\) | 2.57072 | − | 3.22357i | 0.0946935 | − | 0.118742i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.74239 | − | 16.3965i | −0.137666 | − | 0.603155i | −0.995944 | − | 0.0899703i | \(-0.971323\pi\) |
0.858278 | − | 0.513185i | \(-0.171534\pi\) | |||||||
\(740\) | −5.46329 | − | 2.63098i | −0.200834 | − | 0.0967168i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 26.5036 | + | 0.327212i | 0.972980 | + | 0.0120123i | ||||
\(743\) | 8.49160 | + | 4.08934i | 0.311527 | + | 0.150023i | 0.583114 | − | 0.812391i | \(-0.301834\pi\) |
−0.271587 | + | 0.962414i | \(0.587549\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 33.2194 | − | 15.9976i | 1.21707 | − | 0.586108i | ||||
\(746\) | −13.1883 | + | 16.5376i | −0.482857 | + | 0.605484i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.55872 | + | 10.7323i | −0.312938 | + | 0.392412i | ||||
\(749\) | −31.6820 | − | 15.7420i | −1.15764 | − | 0.575200i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.1910 | − | 7.31561i | 0.554329 | − | 0.266951i | −0.135679 | − | 0.990753i | \(-0.543322\pi\) |
0.690007 | + | 0.723802i | \(0.257607\pi\) | |||||||
\(752\) | −18.2656 | + | 80.0269i | −0.666078 | + | 2.91828i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.32594 | −0.303213 | ||||||||
\(755\) | 14.0015 | − | 61.3444i | 0.509565 | − | 2.23255i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.92726 | − | 25.9690i | −0.215430 | − | 0.943861i | −0.960807 | − | 0.277218i | \(-0.910588\pi\) |
0.745377 | − | 0.666643i | \(-0.232269\pi\) | |||||||
\(758\) | 19.9795 | + | 87.5360i | 0.725689 | + | 3.17945i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −77.5602 | − | 97.2574i | −2.81340 | − | 3.52790i | ||||
\(761\) | −4.28385 | − | 18.7688i | −0.155290 | − | 0.680368i | −0.991296 | − | 0.131649i | \(-0.957973\pi\) |
0.836007 | − | 0.548719i | \(-0.184884\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.3133 | + | 42.7462i | −0.373368 | + | 1.54752i | ||||
\(764\) | −27.9616 | + | 122.508i | −1.01161 | + | 4.43217i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.0320 | 1.04897 | ||||||||
\(767\) | −3.31489 | + | 14.5235i | −0.119694 | + | 0.524412i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −24.7617 | − | 31.0501i | −0.892928 | − | 1.11970i | −0.992203 | − | 0.124636i | \(-0.960224\pi\) |
0.0992745 | − | 0.995060i | \(-0.468348\pi\) | |||||||
\(770\) | 12.8144 | + | 59.5214i | 0.461799 | + | 2.14500i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −6.04437 | + | 26.4821i | −0.217542 | + | 0.953113i | ||||
\(773\) | −20.5235 | + | 25.7357i | −0.738179 | + | 0.925648i | −0.999212 | − | 0.0396822i | \(-0.987365\pi\) |
0.261033 | + | 0.965330i | \(0.415937\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.92184 | + | 7.42575i | 0.212719 | + | 0.266741i | ||||
\(776\) | 37.3884 | + | 18.0053i | 1.34217 | + | 0.646353i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −76.0210 | + | 36.6098i | −2.72549 | + | 1.31252i | ||||
\(779\) | 17.3509 | + | 8.35574i | 0.621660 | + | 0.299375i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.2647 | + | 6.86950i | 0.510429 | + | 0.245810i | ||||
\(782\) | −16.8322 | + | 21.1069i | −0.601917 | + | 0.754780i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −17.8847 | + | 70.3089i | −0.638739 | + | 2.51103i | ||||
\(785\) | 8.68919 | 0.310131 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.2954 | + | 13.1448i | 0.972977 | + | 0.468561i | 0.851684 | − | 0.524056i | \(-0.175582\pi\) |
0.121293 | + | 0.992617i | \(0.461296\pi\) | |||||||
\(788\) | −5.19950 | − | 22.7805i | −0.185224 | − | 0.811521i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 111.247 | − | 53.5736i | 3.95798 | − | 1.90606i | ||||
\(791\) | −45.9552 | − | 22.8340i | −1.63398 | − | 0.811883i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.29164 | − | 5.38155i | −0.152401 | − | 0.191104i | ||||
\(794\) | −81.1889 | + | 39.0985i | −2.88129 | + | 1.38756i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26.1088 | + | 114.390i | −0.925401 | + | 4.05445i | ||||
\(797\) | −0.640044 | + | 0.802589i | −0.0226715 | + | 0.0284292i | −0.793038 | − | 0.609172i | \(-0.791502\pi\) |
0.770366 | + | 0.637601i | \(0.220073\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.83675 | − | 7.31905i | −0.206489 | − | 0.258929i | ||||
\(800\) | 93.6481 | − | 45.0986i | 3.31096 | − | 1.59447i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −45.9301 | −1.62185 | ||||||||
\(803\) | −13.5550 | −0.478345 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.9176 | + | 83.2253i | 0.631514 | + | 2.93331i | ||||
\(806\) | −1.01098 | − | 4.42939i | −0.0356102 | − | 0.156018i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −65.3225 | − | 81.9118i | −2.29804 | − | 2.88165i | ||||
\(809\) | 16.5438 | + | 20.7453i | 0.581650 | + | 0.729366i | 0.982393 | − | 0.186824i | \(-0.0598194\pi\) |
−0.400743 | + | 0.916190i | \(0.631248\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.47856 | + | 10.8593i | 0.0870341 | + | 0.381321i | 0.999620 | − | 0.0275635i | \(-0.00877486\pi\) |
−0.912586 | + | 0.408885i | \(0.865918\pi\) | |||||||
\(812\) | 23.5105 | − | 10.9666i | 0.825059 | − | 0.384853i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.06539 | −0.0723920 | ||||||||
\(815\) | −80.6401 | −2.82470 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.8137 | + | 6.17078i | −0.448296 | + | 0.215888i | ||||
\(818\) | −60.5946 | − | 75.9833i | −2.11864 | − | 2.65669i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −50.0860 | + | 62.8058i | −1.74908 | + | 2.19328i | ||||
\(821\) | −2.86674 | + | 12.5600i | −0.100050 | + | 0.438347i | 0.899947 | + | 0.435998i | \(0.143605\pi\) |
−0.999997 | + | 0.00234833i | \(0.999253\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31.1897 | − | 15.0202i | 1.08721 | − | 0.523571i | 0.197592 | − | 0.980284i | \(-0.436688\pi\) |
0.889614 | + | 0.456714i | \(0.150974\pi\) | |||||||
\(824\) | 27.3472 | + | 34.2923i | 0.952685 | + | 1.19463i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.7408 | − | 63.8243i | −0.478104 | − | 2.22073i | ||||
\(827\) | −25.4689 | + | 12.2652i | −0.885640 | + | 0.426502i | −0.820681 | − | 0.571386i | \(-0.806406\pi\) |
−0.0649587 | + | 0.997888i | \(0.520692\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.64129 | − | 33.4787i | −0.265393 | − | 1.16276i | −0.915308 | − | 0.402755i | \(-0.868053\pi\) |
0.649915 | − | 0.760007i | \(-0.274805\pi\) | |||||||
\(830\) | −109.853 | − | 52.9025i | −3.81306 | − | 1.83627i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −16.8031 | −0.582541 | ||||||||
\(833\) | −4.99734 | − | 6.59408i | −0.173148 | − | 0.228471i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −18.3888 | + | 23.0588i | −0.636370 | + | 0.797983i | ||||
\(836\) | −45.7330 | − | 22.0239i | −1.58171 | − | 0.761711i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 33.8801 | + | 16.3158i | 1.17037 | + | 0.563619i | ||||
\(839\) | −3.24178 | + | 1.56116i | −0.111919 | + | 0.0538972i | −0.489005 | − | 0.872281i | \(-0.662640\pi\) |
0.377087 | + | 0.926178i | \(0.376926\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.5491 | + | 10.8591i | 0.777556 | + | 0.374451i | ||||
\(842\) | −36.7502 | − | 46.0833i | −1.26650 | − | 1.58814i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.7668 | − | 18.5170i | 0.508294 | − | 0.637380i | ||||
\(845\) | 8.64044 | − | 37.8562i | 0.297240 | − | 1.30229i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.81346 | − | 11.3360i | −0.302834 | − | 0.389511i | ||||
\(848\) | −24.6095 | − | 30.8593i | −0.845094 | − | 1.05971i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −6.04205 | + | 26.4720i | −0.207241 | + | 0.907981i | ||||
\(851\) | −2.88792 | −0.0989966 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.78929 | + | 7.83938i | −0.0612640 | + | 0.268415i | −0.996278 | − | 0.0861949i | \(-0.972529\pi\) |
0.935014 | + | 0.354610i | \(0.115386\pi\) | |||||||
\(854\) | 27.0152 | + | 13.4232i | 0.924441 | + | 0.459331i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 22.8522 | + | 100.122i | 0.781073 | + | 3.42211i | ||||
\(857\) | −5.20607 | − | 6.52821i | −0.177836 | − | 0.222999i | 0.684922 | − | 0.728616i | \(-0.259836\pi\) |
−0.862758 | + | 0.505617i | \(0.831265\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.550174 | + | 2.41047i | 0.0187717 | + | 0.0822441i | 0.983446 | − | 0.181201i | \(-0.0579984\pi\) |
−0.964674 | + | 0.263445i | \(0.915141\pi\) | |||||||
\(860\) | −13.2012 | − | 57.8381i | −0.450156 | − | 1.97226i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 19.6379 | − | 86.0394i | 0.668871 | − | 2.93051i | ||||
\(863\) | 17.3532 | 0.590708 | 0.295354 | − | 0.955388i | \(-0.404562\pi\) | ||||
0.295354 | + | 0.955388i | \(0.404562\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.1808 | − | 44.6052i | 0.346159 | − | 1.51662i | ||||
\(866\) | −22.7511 | + | 10.9564i | −0.773115 | + | 0.372312i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.68899 | + | 11.1759i | 0.294924 | + | 0.379336i | ||||
\(869\) | 18.6430 | − | 23.3776i | 0.632422 | − | 0.793032i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.72935 | + | 2.16854i | −0.0585969 | + | 0.0734781i | ||||
\(872\) | 115.007 | − | 55.3845i | 3.89463 | − | 1.87556i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −89.9416 | − | 43.3136i | −3.04232 | − | 1.46510i | ||||
\(875\) | 22.4654 | + | 28.8954i | 0.759469 | + | 0.976843i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.1092 | − | 8.23934i | −0.577736 | − | 0.278223i | 0.122110 | − | 0.992517i | \(-0.461034\pi\) |
−0.699846 | + | 0.714294i | \(0.746748\pi\) | |||||||
\(878\) | −10.8652 | − | 47.6034i | −0.366682 | − | 1.60654i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 56.5296 | − | 70.8858i | 1.90561 | − | 2.38956i | ||||
\(881\) | −17.4195 | −0.586878 | −0.293439 | − | 0.955978i | \(-0.594800\pi\) | ||||
−0.293439 | + | 0.955978i | \(0.594800\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −48.5655 | −1.63436 | −0.817180 | − | 0.576383i | \(-0.804464\pi\) | ||||
−0.817180 | + | 0.576383i | \(0.804464\pi\) | |||||||
\(884\) | 5.75756 | − | 7.21975i | 0.193648 | − | 0.242826i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.57669 | + | 15.6705i | 0.120161 | + | 0.526461i | ||||
\(887\) | −29.1110 | − | 14.0191i | −0.977451 | − | 0.470715i | −0.124223 | − | 0.992254i | \(-0.539644\pi\) |
−0.853228 | + | 0.521539i | \(0.825358\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.91702 | − | 27.4838i | −0.198450 | − | 0.921778i | ||||
\(890\) | 53.0128 | + | 25.5296i | 1.77699 | + | 0.855755i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −118.544 | + | 57.0878i | −3.96915 | + | 1.91144i | ||||
\(893\) | 21.5830 | − | 27.0642i | 0.722247 | − | 0.905669i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.0226 | + | 26.3614i | −0.702706 | + | 0.881166i | ||||
\(896\) | 9.66086 | − | 4.50636i | 0.322747 | − | 0.150547i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 78.7470 | − | 37.9225i | 2.62782 | − | 1.26549i | ||||
\(899\) | 0.482345 | − | 2.11329i | 0.0160871 | − | 0.0704822i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.50144 | 0.149965 | ||||||||
\(902\) | −6.08858 | + | 26.6758i | −0.202728 | + | 0.888207i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 33.1475 | + | 145.229i | 1.10247 | + | 4.83023i | ||||
\(905\) | −9.25938 | − | 40.5680i | −0.307792 | − | 1.34853i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.7296 | − | 15.9624i | −0.422679 | − | 0.530023i | 0.524207 | − | 0.851591i | \(-0.324362\pi\) |
−0.946887 | + | 0.321568i | \(0.895790\pi\) | |||||||
\(908\) | −2.34855 | − | 10.2897i | −0.0779394 | − | 0.341475i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.62042 | − | 40.0408i | −0.285764 | − | 1.32734i | ||||
\(911\) | −1.39801 | + | 6.12510i | −0.0463183 | + | 0.202934i | −0.992793 | − | 0.119846i | \(-0.961760\pi\) |
0.946474 | + | 0.322779i | \(0.104617\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −29.5265 | −0.977185 | ||||||||
\(914\) | 5.25973 | − | 23.0444i | 0.173976 | − | 0.762240i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.0106 | − | 17.5688i | −0.462924 | − | 0.580489i | ||||
\(917\) | 9.24170 | − | 11.2997i | 0.305188 | − | 0.373149i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.79696 | − | 25.3981i | 0.191224 | − | 0.837808i | −0.784731 | − | 0.619836i | \(-0.787199\pi\) |
0.975955 | − | 0.217971i | \(-0.0699439\pi\) | |||||||
\(920\) | 154.083 | − | 193.214i | 5.07997 | − | 6.37008i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −62.8611 | − | 78.8253i | −2.07022 | − | 2.59597i | ||||
\(923\) | −9.59601 | − | 4.62119i | −0.315857 | − | 0.152108i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.61696 | + | 1.26026i | −0.0860453 | + | 0.0414372i | ||||
\(926\) | 22.3285 | + | 10.7528i | 0.733760 | + | 0.353360i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −21.3727 | − | 10.2925i | −0.701592 | − | 0.337869i | ||||
\(929\) | −9.31214 | + | 11.6771i | −0.305521 | + | 0.383112i | −0.910763 | − | 0.412931i | \(-0.864505\pi\) |
0.605241 | + | 0.796042i | \(0.293077\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.6601 | − | 23.4415i | 0.644334 | − | 0.768266i | ||||
\(932\) | −49.5414 | −1.62278 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −37.3843 | − | 18.0033i | −1.22325 | − | 0.589087i | ||||
\(935\) | 2.30089 | + | 10.0808i | 0.0752471 | + | 0.329679i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −53.3910 | + | 25.7117i | −1.74421 | + | 0.839966i | −0.763156 | + | 0.646214i | \(0.776351\pi\) |
−0.981051 | + | 0.193751i | \(0.937935\pi\) | |||||||
\(938\) | 2.85100 | − | 11.8167i | 0.0930884 | − | 0.385828i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 90.0299 | + | 112.894i | 2.93645 | + | 3.68219i | ||||
\(941\) | 20.5343 | − | 9.88879i | 0.669398 | − | 0.322365i | −0.0681349 | − | 0.997676i | \(-0.521705\pi\) |
0.737533 | + | 0.675311i | \(0.235991\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.51331 | + | 37.2992i | −0.277231 | + | 1.21463i | ||||
\(944\) | −60.6162 | + | 76.0104i | −1.97289 | + | 2.47393i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.5988 | − | 15.7984i | −0.409622 | − | 0.513650i | ||||
\(947\) | 22.7903 | − | 10.9752i | 0.740586 | − | 0.356648i | −0.0252516 | − | 0.999681i | \(-0.508039\pi\) |
0.765838 | + | 0.643034i | \(0.222324\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.11861 | 0.296003 | ||||||||
\(950\) | −100.405 | −3.25756 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.63315 | + | 23.3480i | −0.182571 | + | 0.756712i | ||||
\(953\) | −2.83347 | − | 12.4142i | −0.0917850 | − | 0.402136i | 0.908076 | − | 0.418805i | \(-0.137551\pi\) |
−0.999861 | + | 0.0166689i | \(0.994694\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 59.0154 | + | 74.0030i | 1.90969 | + | 2.39468i | ||||
\(956\) | 37.8149 | + | 47.4184i | 1.22302 | + | 1.53362i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.8627 | + | 104.549i | 0.770969 | + | 3.37784i | ||||
\(959\) | 0.879672 | − | 1.07556i | 0.0284061 | − | 0.0347317i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −29.8172 | −0.961844 | ||||||||
\(962\) | 1.38942 | 0.0447965 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 71.2840 | − | 34.3286i | 2.29590 | − | 1.10565i | ||||
\(965\) | 12.7572 | + | 15.9970i | 0.410668 | + | 0.514962i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 20.1474 | − | 25.2641i | 0.647897 | − | 0.812437i | −0.344069 | − | 0.938945i | \(-0.611805\pi\) |
0.991966 | + | 0.126507i | \(0.0403767\pi\) | |||||||
\(968\) | −9.27532 | + | 40.6378i | −0.298120 | + | 1.30615i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 47.4551 | − | 22.8532i | 1.52369 | − | 0.733771i | ||||
\(971\) | 26.4954 | + | 33.2242i | 0.850278 | + | 1.06621i | 0.997028 | + | 0.0770409i | \(0.0245472\pi\) |
−0.146750 | + | 0.989174i | \(0.546881\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 27.3747 | + | 0.337966i | 0.877591 | + | 0.0108347i | ||||
\(974\) | −13.5736 | + | 6.53671i | −0.434927 | + | 0.209450i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.99602 | − | 43.7954i | −0.319965 | − | 1.40186i | ||||
\(977\) | −19.9174 | − | 9.59173i | −0.637215 | − | 0.306867i | 0.0872413 | − | 0.996187i | \(-0.472195\pi\) |
−0.724456 | + | 0.689321i | \(0.757909\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.2489 | 0.455396 | ||||||||
\(980\) | 77.0823 | + | 101.711i | 2.46230 | + | 3.24905i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −37.0639 | + | 46.4766i | −1.18276 | + | 1.48313i | ||||
\(983\) | 35.0411 | + | 16.8749i | 1.11764 | + | 0.538226i | 0.899162 | − | 0.437616i | \(-0.144177\pi\) |
0.218476 | + | 0.975842i | \(0.429891\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.8579 | − | 7.63676i | −0.505274 | − | 0.243327i | ||||
\(986\) | 5.58320 | − | 2.68873i | 0.177805 | − | 0.0856265i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 30.7652 | + | 14.8157i | 0.978770 | + | 0.471351i | ||||
\(989\) | −17.6162 | − | 22.0900i | −0.560162 | − | 0.702421i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.8479 | − | 16.1108i | 0.408128 | − | 0.511776i | −0.534707 | − | 0.845038i | \(-0.679578\pi\) |
0.942834 | + | 0.333262i | \(0.108149\pi\) | |||||||
\(992\) | 2.88043 | − | 12.6200i | 0.0914538 | − | 0.400685i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 46.6740 | + | 0.576234i | 1.48041 | + | 0.0182770i | ||||
\(995\) | 55.1049 | + | 69.0993i | 1.74694 | + | 2.19060i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.74981 | − | 25.1916i | 0.182098 | − | 0.797825i | −0.798531 | − | 0.601953i | \(-0.794389\pi\) |
0.980630 | − | 0.195872i | \(-0.0627536\pi\) | |||||||
\(998\) | 13.8747 | 0.439196 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.u.d.190.1 | 36 | ||
3.2 | odd | 2 | 147.2.i.b.43.6 | ✓ | 36 | ||
49.8 | even | 7 | inner | 441.2.u.d.253.1 | 36 | ||
147.8 | odd | 14 | 147.2.i.b.106.6 | yes | 36 | ||
147.20 | even | 14 | 7203.2.a.g.1.17 | 18 | |||
147.29 | odd | 14 | 7203.2.a.h.1.17 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.b.43.6 | ✓ | 36 | 3.2 | odd | 2 | ||
147.2.i.b.106.6 | yes | 36 | 147.8 | odd | 14 | ||
441.2.u.d.190.1 | 36 | 1.1 | even | 1 | trivial | ||
441.2.u.d.253.1 | 36 | 49.8 | even | 7 | inner | ||
7203.2.a.g.1.17 | 18 | 147.20 | even | 14 | |||
7203.2.a.h.1.17 | 18 | 147.29 | odd | 14 |