Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,6,Mod(34,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.34");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.e (of order \(3\), degree \(2\), 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: | \(15.8779981615\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 34.9 | ||
Character | \(\chi\) | \(=\) | 99.34 |
Dual form | 99.6.e.a.67.9 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69570 | + | 2.93704i | −0.299760 | + | 0.519200i | −0.976081 | − | 0.217407i | \(-0.930240\pi\) |
0.676321 | + | 0.736607i | \(0.263573\pi\) | |||||||
\(3\) | −10.7528 | + | 11.2862i | −0.689791 | + | 0.724009i | ||||
\(4\) | 10.2492 | + | 17.7521i | 0.320288 | + | 0.554755i | ||||
\(5\) | 12.5191 | + | 21.6836i | 0.223948 | + | 0.387889i | 0.956003 | − | 0.293356i | \(-0.0947722\pi\) |
−0.732056 | + | 0.681245i | \(0.761439\pi\) | |||||||
\(6\) | −14.9145 | − | 50.7193i | −0.169134 | − | 0.575168i | ||||
\(7\) | 124.918 | − | 216.365i | 0.963566 | − | 1.66895i | 0.250148 | − | 0.968208i | \(-0.419521\pi\) |
0.713418 | − | 0.700738i | \(-0.247146\pi\) | |||||||
\(8\) | −178.043 | −0.983558 | ||||||||
\(9\) | −11.7558 | − | 242.715i | −0.0483777 | − | 0.998829i | ||||
\(10\) | −84.9142 | −0.268522 | ||||||||
\(11\) | 60.5000 | − | 104.789i | 0.150756 | − | 0.261116i | ||||
\(12\) | −310.561 | − | 75.2104i | −0.622579 | − | 0.150773i | ||||
\(13\) | −492.811 | − | 853.573i | −0.808764 | − | 1.40082i | −0.913721 | − | 0.406343i | \(-0.866804\pi\) |
0.104957 | − | 0.994477i | \(-0.466530\pi\) | |||||||
\(14\) | 423.649 | + | 733.781i | 0.577678 | + | 1.00057i | ||||
\(15\) | −379.340 | − | 91.8669i | −0.435312 | − | 0.105422i | ||||
\(16\) | −26.0670 | + | 45.1493i | −0.0254560 | + | 0.0440912i | ||||
\(17\) | 1349.42 | 1.13246 | 0.566231 | − | 0.824247i | \(-0.308401\pi\) | ||||
0.566231 | + | 0.824247i | \(0.308401\pi\) | |||||||
\(18\) | 732.799 | + | 377.045i | 0.533094 | + | 0.274291i | ||||
\(19\) | 63.6150 | 0.0404274 | 0.0202137 | − | 0.999796i | \(-0.493565\pi\) | ||||
0.0202137 | + | 0.999796i | \(0.493565\pi\) | |||||||
\(20\) | −256.621 | + | 444.480i | −0.143455 | + | 0.248472i | ||||
\(21\) | 1098.72 | + | 3736.38i | 0.543673 | + | 1.84885i | ||||
\(22\) | 205.180 | + | 355.382i | 0.0903811 | + | 0.156545i | ||||
\(23\) | −1660.38 | − | 2875.87i | −0.654468 | − | 1.13357i | −0.982027 | − | 0.188741i | \(-0.939559\pi\) |
0.327559 | − | 0.944831i | \(-0.393774\pi\) | |||||||
\(24\) | 1914.46 | − | 2009.43i | 0.678449 | − | 0.712105i | ||||
\(25\) | 1249.05 | − | 2163.41i | 0.399695 | − | 0.692292i | ||||
\(26\) | 3342.63 | 0.969741 | ||||||||
\(27\) | 2865.74 | + | 2477.19i | 0.756532 | + | 0.653957i | ||||
\(28\) | 5121.26 | 1.23447 | ||||||||
\(29\) | −584.254 | + | 1011.96i | −0.129005 | + | 0.223443i | −0.923291 | − | 0.384100i | \(-0.874512\pi\) |
0.794286 | + | 0.607544i | \(0.207845\pi\) | |||||||
\(30\) | 913.063 | − | 958.357i | 0.185224 | − | 0.194413i | ||||
\(31\) | −1293.10 | − | 2239.71i | −0.241672 | − | 0.418589i | 0.719518 | − | 0.694473i | \(-0.244363\pi\) |
−0.961191 | + | 0.275885i | \(0.911029\pi\) | |||||||
\(32\) | −2937.09 | − | 5087.19i | −0.507041 | − | 0.878220i | ||||
\(33\) | 532.126 | + | 1809.59i | 0.0850608 | + | 0.289264i | ||||
\(34\) | −2288.20 | + | 3963.28i | −0.339467 | + | 0.587974i | ||||
\(35\) | 6255.44 | 0.863154 | ||||||||
\(36\) | 4188.23 | − | 2696.33i | 0.538610 | − | 0.346750i | ||||
\(37\) | −1418.91 | −0.170393 | −0.0851964 | − | 0.996364i | \(-0.527152\pi\) | ||||
−0.0851964 | + | 0.996364i | \(0.527152\pi\) | |||||||
\(38\) | −107.872 | + | 186.840i | −0.0121185 | + | 0.0209899i | ||||
\(39\) | 14932.7 | + | 3616.33i | 1.57208 | + | 0.380720i | ||||
\(40\) | −2228.93 | − | 3860.62i | −0.220266 | − | 0.381511i | ||||
\(41\) | 8321.03 | + | 14412.5i | 0.773068 | + | 1.33899i | 0.935874 | + | 0.352335i | \(0.114612\pi\) |
−0.162806 | + | 0.986658i | \(0.552054\pi\) | |||||||
\(42\) | −12837.0 | − | 3108.80i | −1.12290 | − | 0.271938i | ||||
\(43\) | −8382.22 | + | 14518.4i | −0.691334 | + | 1.19743i | 0.280067 | + | 0.959980i | \(0.409643\pi\) |
−0.971401 | + | 0.237445i | \(0.923690\pi\) | |||||||
\(44\) | 2480.31 | 0.193141 | ||||||||
\(45\) | 5115.78 | − | 3293.48i | 0.376600 | − | 0.242451i | ||||
\(46\) | 11262.0 | 0.784734 | ||||||||
\(47\) | 4016.68 | − | 6957.09i | 0.265230 | − | 0.459391i | −0.702394 | − | 0.711788i | \(-0.747886\pi\) |
0.967624 | + | 0.252397i | \(0.0812189\pi\) | |||||||
\(48\) | −229.271 | − | 779.677i | −0.0143630 | − | 0.0488441i | ||||
\(49\) | −22805.8 | − | 39500.7i | −1.35692 | − | 2.35026i | ||||
\(50\) | 4236.02 | + | 7337.00i | 0.239625 | + | 0.415043i | ||||
\(51\) | −14510.0 | + | 15229.7i | −0.781161 | + | 0.819912i | ||||
\(52\) | 10101.8 | − | 17496.9i | 0.518074 | − | 0.897331i | ||||
\(53\) | −2442.69 | −0.119448 | −0.0597240 | − | 0.998215i | \(-0.519022\pi\) | ||||
−0.0597240 | + | 0.998215i | \(0.519022\pi\) | |||||||
\(54\) | −12135.0 | + | 4216.22i | −0.566312 | + | 0.196761i | ||||
\(55\) | 3029.61 | 0.135045 | ||||||||
\(56\) | −22240.9 | + | 38522.3i | −0.947724 | + | 1.64151i | ||||
\(57\) | −684.037 | + | 717.970i | −0.0278864 | + | 0.0292698i | ||||
\(58\) | −1981.44 | − | 3431.95i | −0.0773411 | − | 0.133959i | ||||
\(59\) | 8379.90 | + | 14514.4i | 0.313407 | + | 0.542837i | 0.979098 | − | 0.203391i | \(-0.0651962\pi\) |
−0.665690 | + | 0.746228i | \(0.731863\pi\) | |||||||
\(60\) | −2257.10 | − | 7675.66i | −0.0809417 | − | 0.275257i | ||||
\(61\) | 10468.9 | − | 18132.7i | 0.360228 | − | 0.623932i | −0.627771 | − | 0.778398i | \(-0.716032\pi\) |
0.987998 | + | 0.154466i | \(0.0493657\pi\) | |||||||
\(62\) | 8770.82 | 0.289775 | ||||||||
\(63\) | −53983.7 | − | 27776.1i | −1.71361 | − | 0.881698i | ||||
\(64\) | 18253.4 | 0.557050 | ||||||||
\(65\) | 12339.0 | − | 21371.8i | 0.362241 | − | 0.627420i | ||||
\(66\) | −6217.15 | − | 1505.64i | −0.175684 | − | 0.0425463i | ||||
\(67\) | −15829.4 | − | 27417.4i | −0.430803 | − | 0.746172i | 0.566140 | − | 0.824309i | \(-0.308436\pi\) |
−0.996943 | + | 0.0781371i | \(0.975103\pi\) | |||||||
\(68\) | 13830.4 | + | 23955.0i | 0.362713 | + | 0.628238i | ||||
\(69\) | 50311.3 | + | 12184.2i | 1.27216 | + | 0.308087i | ||||
\(70\) | −10607.4 | + | 18372.5i | −0.258739 | + | 0.448149i | ||||
\(71\) | −21807.4 | −0.513403 | −0.256701 | − | 0.966491i | \(-0.582636\pi\) | ||||
−0.256701 | + | 0.966491i | \(0.582636\pi\) | |||||||
\(72\) | 2093.04 | + | 43213.8i | 0.0475823 | + | 0.982407i | ||||
\(73\) | −36722.9 | −0.806548 | −0.403274 | − | 0.915079i | \(-0.632128\pi\) | ||||
−0.403274 | + | 0.915079i | \(0.632128\pi\) | |||||||
\(74\) | 2406.05 | − | 4167.40i | 0.0510770 | − | 0.0884679i | ||||
\(75\) | 10986.0 | + | 37359.6i | 0.225520 | + | 0.766919i | ||||
\(76\) | 652.003 | + | 1129.30i | 0.0129484 | + | 0.0224273i | ||||
\(77\) | −15115.1 | − | 26180.2i | −0.290526 | − | 0.503206i | ||||
\(78\) | −35942.6 | + | 37725.6i | −0.668918 | + | 0.702101i | ||||
\(79\) | 22282.0 | − | 38593.5i | 0.401685 | − | 0.695739i | −0.592244 | − | 0.805759i | \(-0.701758\pi\) |
0.993929 | + | 0.110019i | \(0.0350913\pi\) | |||||||
\(80\) | −1305.34 | −0.0228033 | ||||||||
\(81\) | −58772.6 | + | 5706.63i | −0.995319 | + | 0.0966422i | ||||
\(82\) | −56439.9 | −0.926940 | ||||||||
\(83\) | 43352.0 | − | 75087.9i | 0.690739 | − | 1.19640i | −0.280857 | − | 0.959750i | \(-0.590619\pi\) |
0.971596 | − | 0.236645i | \(-0.0760480\pi\) | |||||||
\(84\) | −55067.8 | + | 57799.5i | −0.851528 | + | 0.893770i | ||||
\(85\) | 16893.4 | + | 29260.2i | 0.253612 | + | 0.439269i | ||||
\(86\) | −28427.5 | − | 49237.8i | −0.414469 | − | 0.717881i | ||||
\(87\) | −5138.79 | − | 17475.3i | −0.0727884 | − | 0.247530i | ||||
\(88\) | −10771.6 | + | 18657.0i | −0.148277 | + | 0.256823i | ||||
\(89\) | −18797.3 | −0.251548 | −0.125774 | − | 0.992059i | \(-0.540141\pi\) | ||||
−0.125774 | + | 0.992059i | \(0.540141\pi\) | |||||||
\(90\) | 998.234 | + | 20610.0i | 0.0129905 | + | 0.268208i | ||||
\(91\) | −246245. | −3.11719 | ||||||||
\(92\) | 34035.2 | − | 58950.7i | 0.419236 | − | 0.726138i | ||||
\(93\) | 39182.1 | + | 9488.96i | 0.469765 | + | 0.113766i | ||||
\(94\) | 13622.2 | + | 23594.3i | 0.159011 | + | 0.275414i | ||||
\(95\) | 796.399 | + | 1379.40i | 0.00905361 | + | 0.0156813i | ||||
\(96\) | 88996.9 | + | 21552.9i | 0.985591 | + | 0.238686i | ||||
\(97\) | 54004.1 | − | 93537.8i | 0.582770 | − | 1.00939i | −0.412380 | − | 0.911012i | \(-0.635302\pi\) |
0.995149 | − | 0.0983748i | \(-0.0313644\pi\) | |||||||
\(98\) | 154687. | 1.62700 | ||||||||
\(99\) | −26145.2 | − | 13452.4i | −0.268104 | − | 0.137947i | ||||
\(100\) | 51206.9 | 0.512069 | ||||||||
\(101\) | −44123.1 | + | 76423.5i | −0.430391 | + | 0.745459i | −0.996907 | − | 0.0785919i | \(-0.974958\pi\) |
0.566516 | + | 0.824051i | \(0.308291\pi\) | |||||||
\(102\) | −20125.8 | − | 68441.4i | −0.191537 | − | 0.651356i | ||||
\(103\) | −39855.8 | − | 69032.3i | −0.370168 | − | 0.641149i | 0.619423 | − | 0.785057i | \(-0.287366\pi\) |
−0.989591 | + | 0.143908i | \(0.954033\pi\) | |||||||
\(104\) | 87741.5 | + | 151973.i | 0.795466 | + | 1.37779i | ||||
\(105\) | −67263.4 | + | 70600.1i | −0.595395 | + | 0.624931i | ||||
\(106\) | 4142.07 | − | 7174.27i | 0.0358057 | − | 0.0620173i | ||||
\(107\) | 77110.5 | 0.651110 | 0.325555 | − | 0.945523i | \(-0.394449\pi\) | ||||
0.325555 | + | 0.945523i | \(0.394449\pi\) | |||||||
\(108\) | −14603.8 | + | 76262.2i | −0.120478 | + | 0.629144i | ||||
\(109\) | 144478. | 1.16476 | 0.582380 | − | 0.812916i | \(-0.302121\pi\) | ||||
0.582380 | + | 0.812916i | \(0.302121\pi\) | |||||||
\(110\) | −5137.31 | + | 8898.08i | −0.0404813 | + | 0.0701156i | ||||
\(111\) | 15257.2 | − | 16014.1i | 0.117535 | − | 0.123366i | ||||
\(112\) | 6512.50 | + | 11280.0i | 0.0490572 | + | 0.0849695i | ||||
\(113\) | 99866.1 | + | 172973.i | 0.735736 | + | 1.27433i | 0.954400 | + | 0.298532i | \(0.0964970\pi\) |
−0.218663 | + | 0.975800i | \(0.570170\pi\) | |||||||
\(114\) | −948.784 | − | 3226.51i | −0.00683762 | − | 0.0232525i | ||||
\(115\) | 41572.8 | − | 72006.2i | 0.293133 | − | 0.507721i | ||||
\(116\) | −23952.6 | −0.165275 | ||||||||
\(117\) | −201382. | + | 129647.i | −1.36005 | + | 0.875585i | ||||
\(118\) | −56839.2 | −0.375788 | ||||||||
\(119\) | 168567. | − | 291967.i | 1.09120 | − | 1.89002i | ||||
\(120\) | 67538.9 | + | 16356.3i | 0.428155 | + | 0.103689i | ||||
\(121\) | −7320.50 | − | 12679.5i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | 35504.3 | + | 61495.2i | 0.215964 | + | 0.374060i | ||||
\(123\) | −252136. | − | 61061.1i | −1.50270 | − | 0.363917i | ||||
\(124\) | 26506.4 | − | 45910.5i | 0.154809 | − | 0.268138i | ||||
\(125\) | 140792. | 0.805938 | ||||||||
\(126\) | 173120. | − | 111452.i | 0.971449 | − | 0.625406i | ||||
\(127\) | 270373. | 1.48749 | 0.743744 | − | 0.668465i | \(-0.233048\pi\) | ||||
0.743744 | + | 0.668465i | \(0.233048\pi\) | |||||||
\(128\) | 63034.6 | − | 109179.i | 0.340059 | − | 0.589000i | ||||
\(129\) | −73725.5 | − | 250717.i | −0.390071 | − | 1.32650i | ||||
\(130\) | 41846.6 | + | 72480.5i | 0.217171 | + | 0.376151i | ||||
\(131\) | −16958.3 | − | 29372.6i | −0.0863384 | − | 0.149543i | 0.819622 | − | 0.572904i | \(-0.194183\pi\) |
−0.905961 | + | 0.423362i | \(0.860850\pi\) | |||||||
\(132\) | −26670.2 | + | 27993.2i | −0.133227 | + | 0.139836i | ||||
\(133\) | 7946.69 | − | 13764.1i | 0.0389544 | − | 0.0674711i | ||||
\(134\) | 107368. | 0.516550 | ||||||||
\(135\) | −17838.1 | + | 93151.6i | −0.0842390 | + | 0.439902i | ||||
\(136\) | −240254. | −1.11384 | ||||||||
\(137\) | −35752.0 | + | 61924.3i | −0.162742 | + | 0.281877i | −0.935851 | − | 0.352396i | \(-0.885367\pi\) |
0.773109 | + | 0.634273i | \(0.218700\pi\) | |||||||
\(138\) | −121098. | + | 127105.i | −0.541302 | + | 0.568154i | ||||
\(139\) | 75906.9 | + | 131475.i | 0.333230 | + | 0.577171i | 0.983143 | − | 0.182837i | \(-0.0585281\pi\) |
−0.649913 | + | 0.760008i | \(0.725195\pi\) | |||||||
\(140\) | 64113.3 | + | 111048.i | 0.276457 | + | 0.478838i | ||||
\(141\) | 35328.6 | + | 120141.i | 0.149650 | + | 0.508913i | ||||
\(142\) | 36978.8 | − | 64049.2i | 0.153898 | − | 0.266559i | ||||
\(143\) | −119260. | −0.487703 | ||||||||
\(144\) | 11264.9 | + | 5796.09i | 0.0452710 | + | 0.0232932i | ||||
\(145\) | −29257.2 | −0.115561 | ||||||||
\(146\) | 62271.1 | − | 107857.i | 0.241771 | − | 0.418760i | ||||
\(147\) | 691038. | + | 167352.i | 2.63760 | + | 0.638762i | ||||
\(148\) | −14542.7 | − | 25188.7i | −0.0545747 | − | 0.0945262i | ||||
\(149\) | −233817. | − | 404983.i | −0.862800 | − | 1.49441i | −0.869215 | − | 0.494435i | \(-0.835375\pi\) |
0.00641418 | − | 0.999979i | \(-0.497958\pi\) | |||||||
\(150\) | −128356. | − | 31084.6i | −0.465786 | − | 0.112802i | ||||
\(151\) | 24951.3 | − | 43217.0i | 0.0890536 | − | 0.154245i | −0.818058 | − | 0.575136i | \(-0.804949\pi\) |
0.907111 | + | 0.420891i | \(0.138282\pi\) | |||||||
\(152\) | −11326.2 | −0.0397627 | ||||||||
\(153\) | −15863.4 | − | 327524.i | −0.0547859 | − | 1.13114i | ||||
\(154\) | 102523. | 0.348353 | ||||||||
\(155\) | 32376.7 | − | 56078.1i | 0.108244 | − | 0.187484i | ||||
\(156\) | 88850.4 | + | 302151.i | 0.292313 | + | 0.994060i | ||||
\(157\) | −66415.9 | − | 115036.i | −0.215042 | − | 0.372463i | 0.738244 | − | 0.674534i | \(-0.235655\pi\) |
−0.953286 | + | 0.302071i | \(0.902322\pi\) | |||||||
\(158\) | 75567.1 | + | 130886.i | 0.240818 | + | 0.417110i | ||||
\(159\) | 26265.7 | − | 27568.6i | 0.0823940 | − | 0.0864813i | ||||
\(160\) | 73539.2 | − | 127374.i | 0.227101 | − | 0.393351i | ||||
\(161\) | −829650. | −2.52249 | ||||||||
\(162\) | 82900.1 | − | 182294.i | 0.248180 | − | 0.545739i | ||||
\(163\) | 249743. | 0.736248 | 0.368124 | − | 0.929777i | \(-0.380000\pi\) | ||||
0.368124 | + | 0.929777i | \(0.380000\pi\) | |||||||
\(164\) | −170568. | + | 295432.i | −0.495208 | + | 0.857726i | ||||
\(165\) | −32576.7 | + | 34192.7i | −0.0931531 | + | 0.0977741i | ||||
\(166\) | 147024. | + | 254653.i | 0.414112 | + | 0.717263i | ||||
\(167\) | −21281.6 | − | 36860.8i | −0.0590491 | − | 0.102276i | 0.834990 | − | 0.550266i | \(-0.185474\pi\) |
−0.894039 | + | 0.447990i | \(0.852140\pi\) | |||||||
\(168\) | −195619. | − | 665236.i | −0.534734 | − | 1.81846i | ||||
\(169\) | −300078. | + | 519750.i | −0.808197 | + | 1.39984i | ||||
\(170\) | −114585. | −0.304091 | ||||||||
\(171\) | −747.845 | − | 15440.3i | −0.00195578 | − | 0.0403800i | ||||
\(172\) | −343644. | −0.885703 | ||||||||
\(173\) | −343613. | + | 595155.i | −0.872879 | + | 1.51187i | −0.0138740 | + | 0.999904i | \(0.504416\pi\) |
−0.859005 | + | 0.511967i | \(0.828917\pi\) | |||||||
\(174\) | 60039.6 | + | 14540.1i | 0.150337 | + | 0.0364078i | ||||
\(175\) | −312058. | − | 540500.i | −0.770265 | − | 1.33414i | ||||
\(176\) | 3154.11 | + | 5463.07i | 0.00767528 | + | 0.0132940i | ||||
\(177\) | −253920. | − | 61493.1i | −0.609204 | − | 0.147534i | ||||
\(178\) | 31874.6 | − | 55208.4i | 0.0754040 | − | 0.130604i | ||||
\(179\) | 435842. | 1.01671 | 0.508355 | − | 0.861148i | \(-0.330254\pi\) | ||||
0.508355 | + | 0.861148i | \(0.330254\pi\) | |||||||
\(180\) | 110899. | + | 57060.6i | 0.255121 | + | 0.131267i | ||||
\(181\) | −516438. | −1.17171 | −0.585857 | − | 0.810415i | \(-0.699242\pi\) | ||||
−0.585857 | + | 0.810415i | \(0.699242\pi\) | |||||||
\(182\) | 417557. | − | 723230.i | 0.934409 | − | 1.61844i | ||||
\(183\) | 92079.0 | + | 313131.i | 0.203251 | + | 0.691191i | ||||
\(184\) | 295620. | + | 512028.i | 0.643708 | + | 1.11493i | ||||
\(185\) | −17763.4 | − | 30767.2i | −0.0381591 | − | 0.0660934i | ||||
\(186\) | −94310.6 | + | 98989.0i | −0.199884 | + | 0.209800i | ||||
\(187\) | 81639.6 | − | 141404.i | 0.170725 | − | 0.295704i | ||||
\(188\) | 164671. | 0.339799 | ||||||||
\(189\) | 893961. | − | 310600.i | 1.82039 | − | 0.632479i | ||||
\(190\) | −5401.82 | −0.0108556 | ||||||||
\(191\) | −200859. | + | 347897.i | −0.398389 | + | 0.690029i | −0.993527 | − | 0.113594i | \(-0.963764\pi\) |
0.595139 | + | 0.803623i | \(0.297097\pi\) | |||||||
\(192\) | −196275. | + | 206011.i | −0.384248 | + | 0.403309i | ||||
\(193\) | 461723. | + | 799728.i | 0.892253 | + | 1.54543i | 0.837168 | + | 0.546946i | \(0.184210\pi\) |
0.0550856 | + | 0.998482i | \(0.482457\pi\) | |||||||
\(194\) | 183149. | + | 317224.i | 0.349382 | + | 0.605148i | ||||
\(195\) | 108528. | + | 369067.i | 0.204387 | + | 0.695055i | ||||
\(196\) | 467482. | − | 809702.i | 0.869210 | − | 1.50552i | ||||
\(197\) | −779664. | −1.43134 | −0.715669 | − | 0.698440i | \(-0.753878\pi\) | ||||
−0.715669 | + | 0.698440i | \(0.753878\pi\) | |||||||
\(198\) | 83844.6 | − | 53978.1i | 0.151989 | − | 0.0978485i | ||||
\(199\) | −290274. | −0.519608 | −0.259804 | − | 0.965661i | \(-0.583658\pi\) | ||||
−0.259804 | + | 0.965661i | \(0.583658\pi\) | |||||||
\(200\) | −222384. | + | 385181.i | −0.393123 | + | 0.680909i | ||||
\(201\) | 479648. | + | 116159.i | 0.837399 | + | 0.202798i | ||||
\(202\) | −149639. | − | 259183.i | −0.258028 | − | 0.446918i | ||||
\(203\) | 145968. | + | 252824.i | 0.248610 | + | 0.430605i | ||||
\(204\) | −419076. | − | 101490.i | −0.705046 | − | 0.170745i | ||||
\(205\) | −208343. | + | 360861.i | −0.346253 | + | 0.599729i | ||||
\(206\) | 270334. | 0.443846 | ||||||||
\(207\) | −678498. | + | 436809.i | −1.10058 | + | 0.708541i | ||||
\(208\) | 51384.3 | 0.0823517 | ||||||||
\(209\) | 3848.71 | − | 6666.15i | 0.00609465 | − | 0.0105563i | ||||
\(210\) | −93296.7 | − | 317272.i | −0.145988 | − | 0.496459i | ||||
\(211\) | 75601.7 | + | 130946.i | 0.116903 | + | 0.202482i | 0.918539 | − | 0.395331i | \(-0.129370\pi\) |
−0.801636 | + | 0.597813i | \(0.796037\pi\) | |||||||
\(212\) | −25035.6 | − | 43363.0i | −0.0382577 | − | 0.0662643i | ||||
\(213\) | 234490. | − | 246122.i | 0.354141 | − | 0.371708i | ||||
\(214\) | −130756. | + | 226476.i | −0.195177 | + | 0.338056i | ||||
\(215\) | −419750. | −0.619290 | ||||||||
\(216\) | −510225. | − | 441046.i | −0.744093 | − | 0.643205i | ||||
\(217\) | −646127. | −0.931469 | ||||||||
\(218\) | −244992. | + | 424339.i | −0.349149 | + | 0.604744i | ||||
\(219\) | 394873. | − | 414462.i | 0.556349 | − | 0.583948i | ||||
\(220\) | 31051.1 | + | 53782.1i | 0.0432534 | + | 0.0749171i | ||||
\(221\) | −665006. | − | 1.15182e6i | −0.915894 | − | 1.58637i | ||||
\(222\) | 21162.3 | + | 71966.2i | 0.0288191 | + | 0.0980045i | ||||
\(223\) | 474455. | − | 821780.i | 0.638900 | − | 1.10661i | −0.346775 | − | 0.937948i | \(-0.612723\pi\) |
0.985675 | − | 0.168658i | \(-0.0539435\pi\) | |||||||
\(224\) | −1.46759e6 | −1.95427 | ||||||||
\(225\) | −539777. | − | 277730.i | −0.710818 | − | 0.365735i | ||||
\(226\) | −677372. | −0.882178 | ||||||||
\(227\) | 140475. | − | 243310.i | 0.180940 | − | 0.313398i | −0.761261 | − | 0.648446i | \(-0.775419\pi\) |
0.942201 | + | 0.335048i | \(0.108753\pi\) | |||||||
\(228\) | −19756.4 | − | 4784.51i | −0.0251692 | − | 0.00609537i | ||||
\(229\) | 456778. | + | 791163.i | 0.575594 | + | 0.996958i | 0.995977 | + | 0.0896114i | \(0.0285625\pi\) |
−0.420383 | + | 0.907347i | \(0.638104\pi\) | |||||||
\(230\) | 140990. | + | 244202.i | 0.175739 | + | 0.304389i | ||||
\(231\) | 458004. | + | 110917.i | 0.564728 | + | 0.136763i | ||||
\(232\) | 104022. | − | 180172.i | 0.126884 | − | 0.219769i | ||||
\(233\) | 19623.7 | 0.0236805 | 0.0118402 | − | 0.999930i | \(-0.496231\pi\) | ||||
0.0118402 | + | 0.999930i | \(0.496231\pi\) | |||||||
\(234\) | −39295.3 | − | 811309.i | −0.0469139 | − | 0.968605i | ||||
\(235\) | 201140. | 0.237590 | ||||||||
\(236\) | −171775. | + | 297523.i | −0.200761 | + | 0.347728i | ||||
\(237\) | 195980. | + | 666466.i | 0.226643 | + | 0.770738i | ||||
\(238\) | 571678. | + | 990175.i | 0.654198 | + | 1.13310i | ||||
\(239\) | −586411. | − | 1.01569e6i | −0.664060 | − | 1.15018i | −0.979539 | − | 0.201253i | \(-0.935499\pi\) |
0.315480 | − | 0.948932i | \(-0.397835\pi\) | |||||||
\(240\) | 14036.0 | − | 14732.3i | 0.0157295 | − | 0.0165098i | ||||
\(241\) | −287857. | + | 498584.i | −0.319253 | + | 0.552962i | −0.980332 | − | 0.197354i | \(-0.936765\pi\) |
0.661080 | + | 0.750316i | \(0.270099\pi\) | |||||||
\(242\) | 49653.5 | 0.0545019 | ||||||||
\(243\) | 567562. | − | 724680.i | 0.616592 | − | 0.787283i | ||||
\(244\) | 429192. | 0.461506 | ||||||||
\(245\) | 571013. | − | 989024.i | 0.607758 | − | 1.05267i | ||||
\(246\) | 606885. | − | 636991.i | 0.639395 | − | 0.671113i | ||||
\(247\) | −31350.1 | − | 54300.0i | −0.0326962 | − | 0.0566314i | ||||
\(248\) | 230227. | + | 398765.i | 0.237699 | + | 0.411706i | ||||
\(249\) | 381301. | + | 1.29668e6i | 0.389735 | + | 1.32536i | ||||
\(250\) | −238740. | + | 413510.i | −0.241588 | + | 0.418443i | ||||
\(251\) | 112822. | 0.113034 | 0.0565168 | − | 0.998402i | \(-0.482001\pi\) | ||||
0.0565168 | + | 0.998402i | \(0.482001\pi\) | |||||||
\(252\) | −60204.5 | − | 1.24301e6i | −0.0597211 | − | 1.23303i | ||||
\(253\) | −401813. | −0.394659 | ||||||||
\(254\) | −458471. | + | 794094.i | −0.445890 | + | 0.772303i | ||||
\(255\) | −511887. | − | 123967.i | −0.492974 | − | 0.119386i | ||||
\(256\) | 505830. | + | 876124.i | 0.482397 | + | 0.835537i | ||||
\(257\) | 103092. | + | 178560.i | 0.0973624 | + | 0.168637i | 0.910592 | − | 0.413306i | \(-0.135626\pi\) |
−0.813230 | + | 0.581943i | \(0.802293\pi\) | |||||||
\(258\) | 861381. | + | 208605.i | 0.805649 | + | 0.195109i | ||||
\(259\) | −177248. | + | 307003.i | −0.164185 | + | 0.284376i | ||||
\(260\) | 505862. | 0.464086 | ||||||||
\(261\) | 252486. | + | 129911.i | 0.229423 | + | 0.118044i | ||||
\(262\) | 115025. | 0.103523 | ||||||||
\(263\) | 1.02286e6 | − | 1.77164e6i | 0.911857 | − | 1.57938i | 0.100417 | − | 0.994945i | \(-0.467982\pi\) |
0.811439 | − | 0.584437i | \(-0.198684\pi\) | |||||||
\(264\) | −94741.3 | − | 322184.i | −0.0836623 | − | 0.284508i | ||||
\(265\) | −30580.2 | − | 52966.4i | −0.0267501 | − | 0.0463325i | ||||
\(266\) | 26950.4 | + | 46679.4i | 0.0233540 | + | 0.0404503i | ||||
\(267\) | 202123. | − | 212150.i | 0.173515 | − | 0.182123i | ||||
\(268\) | 324478. | − | 562013.i | 0.275962 | − | 0.477979i | ||||
\(269\) | −1.33620e6 | −1.12588 | −0.562940 | − | 0.826498i | \(-0.690330\pi\) | ||||
−0.562940 | + | 0.826498i | \(0.690330\pi\) | |||||||
\(270\) | −243342. | − | 210348.i | −0.203146 | − | 0.175602i | ||||
\(271\) | 484299. | 0.400581 | 0.200291 | − | 0.979737i | \(-0.435811\pi\) | ||||
0.200291 | + | 0.979737i | \(0.435811\pi\) | |||||||
\(272\) | −35175.2 | + | 60925.2i | −0.0288280 | + | 0.0499315i | ||||
\(273\) | 2.64781e6 | − | 2.77916e6i | 2.15021 | − | 2.25687i | ||||
\(274\) | −121249. | − | 210010.i | −0.0975671 | − | 0.168991i | ||||
\(275\) | −151135. | − | 261773.i | −0.120513 | − | 0.208734i | ||||
\(276\) | 299355. | + | 1.01801e6i | 0.236545 | + | 0.804414i | ||||
\(277\) | 501626. | − | 868842.i | 0.392809 | − | 0.680364i | −0.600010 | − | 0.799992i | \(-0.704837\pi\) |
0.992819 | + | 0.119628i | \(0.0381702\pi\) | |||||||
\(278\) | −514861. | −0.399556 | ||||||||
\(279\) | −528411. | + | 340184.i | −0.406407 | + | 0.261640i | ||||
\(280\) | −1.11374e6 | −0.848962 | ||||||||
\(281\) | −478353. | + | 828532.i | −0.361396 | + | 0.625956i | −0.988191 | − | 0.153228i | \(-0.951033\pi\) |
0.626795 | + | 0.779184i | \(0.284366\pi\) | |||||||
\(282\) | −412765. | − | 99961.6i | −0.309087 | − | 0.0748532i | ||||
\(283\) | 734519. | + | 1.27222e6i | 0.545176 | + | 0.944273i | 0.998596 | + | 0.0529756i | \(0.0168706\pi\) |
−0.453420 | + | 0.891297i | \(0.649796\pi\) | |||||||
\(284\) | −223509. | − | 387128.i | −0.164437 | − | 0.284813i | ||||
\(285\) | −24131.7 | − | 5844.11i | −0.0175985 | − | 0.00426193i | ||||
\(286\) | 202229. | − | 350272.i | 0.146194 | − | 0.253215i | ||||
\(287\) | 4.15780e6 | 2.97961 | ||||||||
\(288\) | −1.20021e6 | + | 772682.i | −0.852662 | + | 0.548933i | ||||
\(289\) | 401065. | 0.282469 | ||||||||
\(290\) | 49611.5 | − | 85929.6i | 0.0346407 | − | 0.0599995i | ||||
\(291\) | 474991. | + | 1.61529e6i | 0.328816 | + | 1.11820i | ||||
\(292\) | −376381. | − | 651911.i | −0.258327 | − | 0.447436i | ||||
\(293\) | 906765. | + | 1.57056e6i | 0.617057 | + | 1.06877i | 0.990020 | + | 0.140928i | \(0.0450087\pi\) |
−0.372963 | + | 0.927846i | \(0.621658\pi\) | |||||||
\(294\) | −1.66331e6 | + | 1.74582e6i | −1.12229 | + | 1.17796i | ||||
\(295\) | −209817. | + | 363414.i | −0.140374 | + | 0.243134i | ||||
\(296\) | 252627. | 0.167591 | ||||||||
\(297\) | 432959. | − | 150428.i | 0.284810 | − | 0.0989552i | ||||
\(298\) | 1.58593e6 | 1.03453 | ||||||||
\(299\) | −1.63651e6 | + | 2.83451e6i | −1.05862 | + | 1.83358i | ||||
\(300\) | −550617. | + | 577931.i | −0.353221 | + | 0.370743i | ||||
\(301\) | 2.09419e6 | + | 3.62724e6i | 1.33229 | + | 2.30760i | ||||
\(302\) | 84619.9 | + | 146566.i | 0.0533894 | + | 0.0924732i | ||||
\(303\) | −388084. | − | 1.31975e6i | −0.242839 | − | 0.825817i | ||||
\(304\) | −1658.25 | + | 2872.17i | −0.00102912 | + | 0.00178249i | ||||
\(305\) | 524243. | 0.322688 | ||||||||
\(306\) | 988850. | + | 508791.i | 0.603708 | + | 0.310624i | ||||
\(307\) | 1.96389e6 | 1.18925 | 0.594624 | − | 0.804004i | \(-0.297301\pi\) | ||||
0.594624 | + | 0.804004i | \(0.297301\pi\) | |||||||
\(308\) | 309836. | − | 536652.i | 0.186104 | − | 0.322341i | ||||
\(309\) | 1.20767e6 | + | 292468.i | 0.719536 | + | 0.174254i | ||||
\(310\) | 109802. | + | 190183.i | 0.0648944 | + | 0.112400i | ||||
\(311\) | −1.18642e6 | − | 2.05493e6i | −0.695562 | − | 1.20475i | −0.969991 | − | 0.243142i | \(-0.921822\pi\) |
0.274429 | − | 0.961607i | \(-0.411511\pi\) | |||||||
\(312\) | −2.65866e6 | − | 643862.i | −1.54624 | − | 0.374461i | ||||
\(313\) | 1.35651e6 | − | 2.34954e6i | 0.782638 | − | 1.35557i | −0.147762 | − | 0.989023i | \(-0.547207\pi\) |
0.930400 | − | 0.366546i | \(-0.119460\pi\) | |||||||
\(314\) | 450486. | 0.257844 | ||||||||
\(315\) | −73537.7 | − | 1.51829e6i | −0.0417574 | − | 0.862143i | ||||
\(316\) | 913490. | 0.514619 | ||||||||
\(317\) | −536407. | + | 929084.i | −0.299810 | + | 0.519287i | −0.976092 | − | 0.217356i | \(-0.930257\pi\) |
0.676282 | + | 0.736643i | \(0.263590\pi\) | |||||||
\(318\) | 36431.4 | + | 123891.i | 0.0202026 | + | 0.0687026i | ||||
\(319\) | 70694.7 | + | 122447.i | 0.0388965 | + | 0.0673707i | ||||
\(320\) | 228516. | + | 395801.i | 0.124750 | + | 0.216073i | ||||
\(321\) | −829152. | + | 870283.i | −0.449129 | + | 0.471409i | ||||
\(322\) | 1.40684e6 | − | 2.43671e6i | 0.756143 | − | 1.30968i | ||||
\(323\) | 85843.0 | 0.0457824 | ||||||||
\(324\) | −703677. | − | 984851.i | −0.372401 | − | 0.521204i | ||||
\(325\) | −2.46217e6 | −1.29303 | ||||||||
\(326\) | −423489. | + | 733505.i | −0.220698 | + | 0.382260i | ||||
\(327\) | −1.55354e6 | + | 1.63061e6i | −0.803441 | + | 0.843297i | ||||
\(328\) | −1.48150e6 | − | 2.56604e6i | −0.760357 | − | 1.31698i | ||||
\(329\) | −1.00351e6 | − | 1.73814e6i | −0.511133 | − | 0.885308i | ||||
\(330\) | −45185.0 | − | 153660.i | −0.0228407 | − | 0.0776739i | ||||
\(331\) | −608812. | + | 1.05449e6i | −0.305431 | + | 0.529022i | −0.977357 | − | 0.211596i | \(-0.932134\pi\) |
0.671926 | + | 0.740618i | \(0.265467\pi\) | |||||||
\(332\) | 1.77729e6 | 0.884941 | ||||||||
\(333\) | 16680.4 | + | 344392.i | 0.00824322 | + | 0.170193i | ||||
\(334\) | 144349. | 0.0708022 | ||||||||
\(335\) | 396339. | − | 686479.i | 0.192954 | − | 0.334207i | ||||
\(336\) | −197335. | − | 47789.8i | −0.0953579 | − | 0.0230933i | ||||
\(337\) | −74299.8 | − | 128691.i | −0.0356380 | − | 0.0617267i | 0.847656 | − | 0.530546i | \(-0.178013\pi\) |
−0.883294 | + | 0.468819i | \(0.844680\pi\) | |||||||
\(338\) | −1.01768e6 | − | 1.76268e6i | −0.484531 | − | 0.839232i | ||||
\(339\) | −3.02604e6 | − | 732834.i | −1.43013 | − | 0.346343i | ||||
\(340\) | −346288. | + | 599788.i | −0.162458 | + | 0.281385i | ||||
\(341\) | −312929. | −0.145734 | ||||||||
\(342\) | 46617.0 | + | 23985.7i | 0.0215516 | + | 0.0110889i | ||||
\(343\) | −7.19644e6 | −3.30280 | ||||||||
\(344\) | 1.49240e6 | − | 2.58491e6i | 0.679967 | − | 1.17774i | ||||
\(345\) | 365652. | + | 1.24347e6i | 0.165394 | + | 0.562453i | ||||
\(346\) | −1.16533e6 | − | 2.01841e6i | −0.523309 | − | 0.906397i | ||||
\(347\) | 1.94521e6 | + | 3.36921e6i | 0.867248 | + | 1.50212i | 0.864798 | + | 0.502120i | \(0.167446\pi\) |
0.00244971 | + | 0.999997i | \(0.499220\pi\) | |||||||
\(348\) | 257556. | − | 270333.i | 0.114005 | − | 0.119660i | ||||
\(349\) | −975140. | + | 1.68899e6i | −0.428552 | + | 0.742274i | −0.996745 | − | 0.0806218i | \(-0.974309\pi\) |
0.568193 | + | 0.822895i | \(0.307643\pi\) | |||||||
\(350\) | 2.11663e6 | 0.923579 | ||||||||
\(351\) | 702193. | − | 3.66690e6i | 0.304221 | − | 1.58866i | ||||
\(352\) | −710776. | −0.305757 | ||||||||
\(353\) | 1.31559e6 | − | 2.27867e6i | 0.561934 | − | 0.973297i | −0.435394 | − | 0.900240i | \(-0.643391\pi\) |
0.997328 | − | 0.0730576i | \(-0.0232757\pi\) | |||||||
\(354\) | 611179. | − | 641498.i | 0.259215 | − | 0.272074i | ||||
\(355\) | −273008. | − | 472864.i | −0.114975 | − | 0.199143i | ||||
\(356\) | −192657. | − | 333692.i | −0.0805677 | − | 0.139547i | ||||
\(357\) | 1.48263e6 | + | 5.04193e6i | 0.615688 | + | 2.09376i | ||||
\(358\) | −739058. | + | 1.28009e6i | −0.304769 | + | 0.527875i | ||||
\(359\) | −3.41979e6 | −1.40044 | −0.700218 | − | 0.713929i | \(-0.746914\pi\) | ||||
−0.700218 | + | 0.713929i | \(0.746914\pi\) | |||||||
\(360\) | −910830. | + | 586381.i | −0.370408 | + | 0.238464i | ||||
\(361\) | −2.47205e6 | −0.998366 | ||||||||
\(362\) | 875723. | − | 1.51680e6i | 0.351233 | − | 0.608354i | ||||
\(363\) | 221819. | + | 53719.0i | 0.0883550 | + | 0.0213974i | ||||
\(364\) | −2.52381e6 | − | 4.37137e6i | −0.998398 | − | 1.72928i | ||||
\(365\) | −459736. | − | 796287.i | −0.180625 | − | 0.312851i | ||||
\(366\) | −1.07582e6 | − | 260536.i | −0.419793 | − | 0.101664i | ||||
\(367\) | −249888. | + | 432819.i | −0.0968458 | + | 0.167742i | −0.910377 | − | 0.413779i | \(-0.864209\pi\) |
0.813532 | + | 0.581521i | \(0.197542\pi\) | |||||||
\(368\) | 173125. | 0.0666407 | ||||||||
\(369\) | 3.40031e6 | − | 2.18907e6i | 1.30003 | − | 0.836940i | ||||
\(370\) | 120486. | 0.0457543 | ||||||||
\(371\) | −305137. | + | 528513.i | −0.115096 | + | 0.199352i | ||||
\(372\) | 233136. | + | 792821.i | 0.0873480 | + | 0.297042i | ||||
\(373\) | 2.00628e6 | + | 3.47498e6i | 0.746655 | + | 1.29324i | 0.949418 | + | 0.314016i | \(0.101675\pi\) |
−0.202763 | + | 0.979228i | \(0.564992\pi\) | |||||||
\(374\) | 276873. | + | 479557.i | 0.102353 | + | 0.177281i | ||||
\(375\) | −1.51390e6 | + | 1.58900e6i | −0.555929 | + | 0.583506i | ||||
\(376\) | −715141. | + | 1.23866e6i | −0.260869 | + | 0.451838i | ||||
\(377\) | 1.15171e6 | 0.417338 | ||||||||
\(378\) | −603646. | + | 3.15228e6i | −0.217296 | + | 1.13474i | ||||
\(379\) | 3.39905e6 | 1.21551 | 0.607756 | − | 0.794124i | \(-0.292070\pi\) | ||||
0.607756 | + | 0.794124i | \(0.292070\pi\) | |||||||
\(380\) | −16324.9 | + | 28275.6i | −0.00579952 | + | 0.0100451i | ||||
\(381\) | −2.90725e6 | + | 3.05147e6i | −1.02605 | + | 1.07695i | ||||
\(382\) | −681192. | − | 1.17986e6i | −0.238842 | − | 0.413687i | ||||
\(383\) | −1.86486e6 | − | 3.23004e6i | −0.649606 | − | 1.12515i | −0.983217 | − | 0.182440i | \(-0.941601\pi\) |
0.333611 | − | 0.942711i | \(-0.391733\pi\) | |||||||
\(384\) | 554419. | + | 1.88540e6i | 0.191871 | + | 0.652492i | ||||
\(385\) | 378454. | − | 655502.i | 0.130125 | − | 0.225384i | ||||
\(386\) | −3.13177e6 | −1.06985 | ||||||||
\(387\) | 3.62239e6 | + | 1.86382e6i | 1.22947 | + | 0.632596i | ||||
\(388\) | 2.21399e6 | 0.746616 | ||||||||
\(389\) | −2.01199e6 | + | 3.48487e6i | −0.674142 | + | 1.16765i | 0.302577 | + | 0.953125i | \(0.402153\pi\) |
−0.976719 | + | 0.214524i | \(0.931180\pi\) | |||||||
\(390\) | −1.26799e6 | − | 307077.i | −0.422140 | − | 0.102232i | ||||
\(391\) | −2.24055e6 | − | 3.88074e6i | −0.741160 | − | 1.28373i | ||||
\(392\) | 4.06041e6 | + | 7.03283e6i | 1.33461 | + | 2.31161i | ||||
\(393\) | 513854. | + | 124443.i | 0.167826 | + | 0.0406432i | ||||
\(394\) | 1.32208e6 | − | 2.28990e6i | 0.429058 | − | 0.743150i | ||||
\(395\) | 1.11580e6 | 0.359826 | ||||||||
\(396\) | −29158.0 | − | 602009.i | −0.00934371 | − | 0.192915i | ||||
\(397\) | −4.67876e6 | −1.48989 | −0.744946 | − | 0.667124i | \(-0.767525\pi\) | ||||
−0.744946 | + | 0.667124i | \(0.767525\pi\) | |||||||
\(398\) | 492218. | − | 852546.i | 0.155758 | − | 0.269780i | ||||
\(399\) | 69894.8 | + | 237690.i | 0.0219793 | + | 0.0747443i | ||||
\(400\) | 65117.8 | + | 112787.i | 0.0203493 | + | 0.0352460i | ||||
\(401\) | 1.48276e6 | + | 2.56821e6i | 0.460478 | + | 0.797571i | 0.998985 | − | 0.0450499i | \(-0.0143447\pi\) |
−0.538507 | + | 0.842621i | \(0.681011\pi\) | |||||||
\(402\) | −1.15450e6 | + | 1.21177e6i | −0.356311 | + | 0.373987i | ||||
\(403\) | −1.27450e6 | + | 2.20751e6i | −0.390912 | + | 0.677079i | ||||
\(404\) | −1.80891e6 | −0.551396 | ||||||||
\(405\) | −859518. | − | 1.20296e6i | −0.260386 | − | 0.364430i | ||||
\(406\) | −990073. | −0.298093 | ||||||||
\(407\) | −85844.2 | + | 148686.i | −0.0256877 | + | 0.0444924i | ||||
\(408\) | 2.58340e6 | − | 2.71155e6i | 0.768318 | − | 0.806431i | ||||
\(409\) | 1.24548e6 | + | 2.15724e6i | 0.368154 | + | 0.637662i | 0.989277 | − | 0.146052i | \(-0.0466565\pi\) |
−0.621123 | + | 0.783713i | \(0.713323\pi\) | |||||||
\(410\) | −706574. | − | 1.22382e6i | −0.207586 | − | 0.359549i | ||||
\(411\) | −314456. | − | 1.06936e6i | −0.0918238 | − | 0.312263i | ||||
\(412\) | 816981. | − | 1.41505e6i | 0.237120 | − | 0.410704i | ||||
\(413\) | 4.18722e6 | 1.20795 | ||||||||
\(414\) | −132394. | − | 2.73347e6i | −0.0379637 | − | 0.783815i | ||||
\(415\) | 2.17090e6 | 0.618757 | ||||||||
\(416\) | −2.89486e6 | + | 5.01405e6i | −0.820152 | + | 1.42054i | ||||
\(417\) | −2.30005e6 | − | 557017.i | −0.647736 | − | 0.156866i | ||||
\(418\) | 13052.5 | + | 22607.6i | 0.00365387 | + | 0.00632869i | ||||
\(419\) | 845323. | + | 1.46414e6i | 0.235227 | + | 0.407426i | 0.959339 | − | 0.282257i | \(-0.0910832\pi\) |
−0.724111 | + | 0.689683i | \(0.757750\pi\) | |||||||
\(420\) | −1.94270e6 | − | 470474.i | −0.537381 | − | 0.130141i | ||||
\(421\) | 3.58959e6 | − | 6.21735e6i | 0.987051 | − | 1.70962i | 0.354612 | − | 0.935014i | \(-0.384613\pi\) |
0.632440 | − | 0.774610i | \(-0.282054\pi\) | |||||||
\(422\) | −512791. | −0.140171 | ||||||||
\(423\) | −1.73581e6 | − | 893123.i | −0.471685 | − | 0.242695i | ||||
\(424\) | 434904. | 0.117484 | ||||||||
\(425\) | 1.68548e6 | − | 2.91934e6i | 0.452639 | − | 0.783994i | ||||
\(426\) | 325246. | + | 1.10606e6i | 0.0868337 | + | 0.295293i | ||||
\(427\) | −2.61552e6 | − | 4.53022e6i | −0.694206 | − | 1.20240i | ||||
\(428\) | 790321. | + | 1.36888e6i | 0.208542 | + | 0.361206i | ||||
\(429\) | 1.28238e6 | − | 1.34599e6i | 0.336413 | − | 0.353101i | ||||
\(430\) | 711770. | − | 1.23282e6i | 0.185639 | − | 0.321535i | ||||
\(431\) | 4.36626e6 | 1.13218 | 0.566092 | − | 0.824342i | \(-0.308455\pi\) | ||||
0.566092 | + | 0.824342i | \(0.308455\pi\) | |||||||
\(432\) | −186544. | + | 64813.4i | −0.0480920 | + | 0.0167092i | ||||
\(433\) | −3.28300e6 | −0.841495 | −0.420748 | − | 0.907178i | \(-0.638232\pi\) | ||||
−0.420748 | + | 0.907178i | \(0.638232\pi\) | |||||||
\(434\) | 1.09564e6 | − | 1.89770e6i | 0.279217 | − | 0.483619i | ||||
\(435\) | 314596. | − | 330202.i | 0.0797132 | − | 0.0836675i | ||||
\(436\) | 1.48079e6 | + | 2.56480e6i | 0.373059 | + | 0.646156i | ||||
\(437\) | −105625. | − | 182948.i | −0.0264584 | − | 0.0458273i | ||||
\(438\) | 547703. | + | 1.86256e6i | 0.136414 | + | 0.463901i | ||||
\(439\) | 1.17154e6 | − | 2.02917e6i | 0.290132 | − | 0.502524i | −0.683708 | − | 0.729755i | \(-0.739634\pi\) |
0.973841 | + | 0.227231i | \(0.0729673\pi\) | |||||||
\(440\) | −539401. | −0.132825 | ||||||||
\(441\) | −9.31934e6 | + | 5.99967e6i | −2.28186 | + | 1.46903i | ||||
\(442\) | 4.51060e6 | 1.09819 | ||||||||
\(443\) | 379306. | − | 656977.i | 0.0918290 | − | 0.159053i | −0.816452 | − | 0.577414i | \(-0.804062\pi\) |
0.908281 | + | 0.418361i | \(0.137395\pi\) | |||||||
\(444\) | 440659. | + | 106717.i | 0.106083 | + | 0.0256907i | ||||
\(445\) | −235324. | − | 407594.i | −0.0563335 | − | 0.0975725i | ||||
\(446\) | 1.60907e6 | + | 2.78698e6i | 0.383033 | + | 0.663433i | ||||
\(447\) | 7.08489e6 | + | 1.71579e6i | 1.67712 | + | 0.406158i | ||||
\(448\) | 2.28019e6 | − | 3.94941e6i | 0.536755 | − | 0.929687i | ||||
\(449\) | 113738. | 0.0266251 | 0.0133125 | − | 0.999911i | \(-0.495762\pi\) | ||||
0.0133125 | + | 0.999911i | \(0.495762\pi\) | |||||||
\(450\) | 1.73100e6 | − | 1.11440e6i | 0.402965 | − | 0.259424i | ||||
\(451\) | 2.01369e6 | 0.466178 | ||||||||
\(452\) | −2.04710e6 | + | 3.54568e6i | −0.471294 | + | 0.816306i | ||||
\(453\) | 219459. | + | 746308.i | 0.0502467 | + | 0.170873i | ||||
\(454\) | 476408. | + | 825163.i | 0.108477 | + | 0.187888i | ||||
\(455\) | −3.08275e6 | − | 5.33948e6i | −0.698087 | − | 1.20912i | ||||
\(456\) | 121788. | − | 127830.i | 0.0274279 | − | 0.0287885i | ||||
\(457\) | 2.03193e6 | − | 3.51941e6i | 0.455113 | − | 0.788279i | −0.543582 | − | 0.839356i | \(-0.682932\pi\) |
0.998695 | + | 0.0510776i | \(0.0162656\pi\) | |||||||
\(458\) | −3.09823e6 | −0.690161 | ||||||||
\(459\) | 3.86707e6 | + | 3.34275e6i | 0.856743 | + | 0.740581i | ||||
\(460\) | 1.70435e6 | 0.375548 | ||||||||
\(461\) | −649439. | + | 1.12486e6i | −0.142327 | + | 0.246517i | −0.928372 | − | 0.371651i | \(-0.878792\pi\) |
0.786046 | + | 0.618168i | \(0.212125\pi\) | |||||||
\(462\) | −1.10241e6 | + | 1.15709e6i | −0.240290 | + | 0.252210i | ||||
\(463\) | 2.74536e6 | + | 4.75510e6i | 0.595178 | + | 1.03088i | 0.993522 | + | 0.113642i | \(0.0362516\pi\) |
−0.398344 | + | 0.917236i | \(0.630415\pi\) | |||||||
\(464\) | −30459.5 | − | 52757.4i | −0.00656791 | − | 0.0113760i | ||||
\(465\) | 284768. | + | 968404.i | 0.0610744 | + | 0.207694i | ||||
\(466\) | −33275.9 | + | 57635.5i | −0.00709846 | + | 0.0122949i | ||||
\(467\) | 1.29315e6 | 0.274383 | 0.137192 | − | 0.990545i | \(-0.456192\pi\) | ||||
0.137192 | + | 0.990545i | \(0.456192\pi\) | |||||||
\(468\) | −4.36552e6 | − | 2.24618e6i | −0.921343 | − | 0.474057i | ||||
\(469\) | −7.90956e6 | −1.66043 | ||||||||
\(470\) | −341073. | + | 590756.i | −0.0712201 | + | 0.123357i | ||||
\(471\) | 2.01247e6 | + | 487371.i | 0.418001 | + | 0.101230i | ||||
\(472\) | −1.49198e6 | − | 2.58419e6i | −0.308254 | − | 0.533912i | ||||
\(473\) | 1.01425e6 | + | 1.75673e6i | 0.208445 | + | 0.361037i | ||||
\(474\) | −2.28976e6 | − | 554524.i | −0.468106 | − | 0.113364i | ||||
\(475\) | 79458.1 | − | 137625.i | 0.0161586 | − | 0.0279875i | ||||
\(476\) | 6.91071e6 | 1.39799 | ||||||||
\(477\) | 28715.7 | + | 592878.i | 0.00577862 | + | 0.119308i | ||||
\(478\) | 3.97750e6 | 0.796234 | ||||||||
\(479\) | 4.46837e6 | − | 7.73945e6i | 0.889837 | − | 1.54124i | 0.0497701 | − | 0.998761i | \(-0.484151\pi\) |
0.840067 | − | 0.542483i | \(-0.182516\pi\) | |||||||
\(480\) | 646812. | + | 2.19960e6i | 0.128137 | + | 0.435753i | ||||
\(481\) | 699255. | + | 1.21114e6i | 0.137807 | + | 0.238690i | ||||
\(482\) | −976239. | − | 1.69090e6i | −0.191399 | − | 0.331512i | ||||
\(483\) | 8.92104e6 | − | 9.36358e6i | 1.73999 | − | 1.82631i | ||||
\(484\) | 150059. | − | 259909.i | 0.0291171 | − | 0.0504322i | ||||
\(485\) | 2.70432e6 | 0.522040 | ||||||||
\(486\) | 1.16600e6 | + | 2.89579e6i | 0.223927 | + | 0.556131i | ||||
\(487\) | −6.18513e6 | −1.18175 | −0.590876 | − | 0.806763i | \(-0.701218\pi\) | ||||
−0.590876 | + | 0.806763i | \(0.701218\pi\) | |||||||
\(488\) | −1.86392e6 | + | 3.22840e6i | −0.354305 | + | 0.613674i | ||||
\(489\) | −2.68543e6 | + | 2.81865e6i | −0.507857 | + | 0.533050i | ||||
\(490\) | 1.93653e6 | + | 3.35417e6i | 0.364363 | + | 0.631096i | ||||
\(491\) | −4.36956e6 | − | 7.56831e6i | −0.817964 | − | 1.41676i | −0.907180 | − | 0.420743i | \(-0.861769\pi\) |
0.0892155 | − | 0.996012i | \(-0.471564\pi\) | |||||||
\(492\) | −1.50023e6 | − | 5.10178e6i | −0.279411 | − | 0.950186i | ||||
\(493\) | −788401. | + | 1.36555e6i | −0.146093 | + | 0.253041i | ||||
\(494\) | 212642. | 0.0392041 | ||||||||
\(495\) | −35615.5 | − | 735333.i | −0.00653320 | − | 0.134887i | ||||
\(496\) | 134829. | 0.0246081 | ||||||||
\(497\) | −2.72415e6 | + | 4.71837e6i | −0.494698 | + | 0.856842i | ||||
\(498\) | −4.45498e6 | − | 1.07889e6i | −0.804956 | − | 0.194941i | ||||
\(499\) | 1.63752e6 | + | 2.83626e6i | 0.294398 | + | 0.509912i | 0.974845 | − | 0.222886i | \(-0.0715476\pi\) |
−0.680447 | + | 0.732797i | \(0.738214\pi\) | |||||||
\(500\) | 1.44300e6 | + | 2.49935e6i | 0.258132 | + | 0.447098i | ||||
\(501\) | 644854. | + | 156168.i | 0.114780 | + | 0.0277970i | ||||
\(502\) | −191311. | + | 331361.i | −0.0338830 | + | 0.0586870i | ||||
\(503\) | −8.71649e6 | −1.53611 | −0.768054 | − | 0.640385i | \(-0.778775\pi\) | ||||
−0.768054 | + | 0.640385i | \(0.778775\pi\) | |||||||
\(504\) | 9.61142e6 | + | 4.94534e6i | 1.68543 | + | 0.867202i | ||||
\(505\) | −2.20952e6 | −0.385540 | ||||||||
\(506\) | 681353. | − | 1.18014e6i | 0.118303 | − | 0.204907i | ||||
\(507\) | −2.63933e6 | − | 8.97549e6i | −0.456009 | − | 1.55074i | ||||
\(508\) | 2.77110e6 | + | 4.79969e6i | 0.476424 | + | 0.825190i | ||||
\(509\) | 1.36387e6 | + | 2.36229e6i | 0.233334 | + | 0.404146i | 0.958787 | − | 0.284125i | \(-0.0917032\pi\) |
−0.725453 | + | 0.688271i | \(0.758370\pi\) | |||||||
\(510\) | 1.23210e6 | − | 1.29322e6i | 0.209759 | − | 0.220165i | ||||
\(511\) | −4.58738e6 | + | 7.94557e6i | −0.777163 | + | 1.34609i | ||||
\(512\) | 603272. | 0.101704 | ||||||||
\(513\) | 182304. | + | 157586.i | 0.0305846 | + | 0.0264378i | ||||
\(514\) | −699251. | −0.116741 | ||||||||
\(515\) | 997914. | − | 1.72844e6i | 0.165796 | − | 0.287168i | ||||
\(516\) | 3.69513e6 | − | 3.87843e6i | 0.610950 | − | 0.641257i | ||||
\(517\) | −486018. | − | 841808.i | −0.0799698 | − | 0.138512i | ||||
\(518\) | −601120. | − | 1.04117e6i | −0.0984321 | − | 0.170489i | ||||
\(519\) | −3.02224e6 | − | 1.02776e7i | −0.492504 | − | 1.67485i | ||||
\(520\) | −2.19688e6 | + | 3.80511e6i | −0.356286 | + | 0.617105i | ||||
\(521\) | 2.82659e6 | 0.456214 | 0.228107 | − | 0.973636i | \(-0.426746\pi\) | ||||
0.228107 | + | 0.973636i | \(0.426746\pi\) | |||||||
\(522\) | −809694. | + | 521271.i | −0.130060 | + | 0.0837312i | ||||
\(523\) | 3.35264e6 | 0.535960 | 0.267980 | − | 0.963424i | \(-0.413644\pi\) | ||||
0.267980 | + | 0.963424i | \(0.413644\pi\) | |||||||
\(524\) | 347618. | − | 602092.i | 0.0553063 | − | 0.0957932i | ||||
\(525\) | 9.45568e6 | + | 2.28993e6i | 1.49725 | + | 0.362597i | ||||
\(526\) | 3.46892e6 | + | 6.00835e6i | 0.546677 | + | 0.946872i | ||||
\(527\) | −1.74492e6 | − | 3.02230e6i | −0.273685 | − | 0.474035i | ||||
\(528\) | −95572.6 | − | 23145.3i | −0.0149193 | − | 0.00361309i | ||||
\(529\) | −2.29557e6 | + | 3.97604e6i | −0.356657 | + | 0.617748i | ||||
\(530\) | 207419. | 0.0320744 | ||||||||
\(531\) | 3.42436e6 | − | 2.20456e6i | 0.527040 | − | 0.339302i | ||||
\(532\) | 325789. | 0.0499065 | ||||||||
\(533\) | 8.20139e6 | − | 1.42052e7i | 1.25046 | − | 2.16586i | ||||
\(534\) | 280352. | + | 953386.i | 0.0425452 | + | 0.144682i | ||||
\(535\) | 965350. | + | 1.67204e6i | 0.145814 | + | 0.252558i | ||||
\(536\) | 2.81832e6 | + | 4.88147e6i | 0.423720 | + | 0.733904i | ||||
\(537\) | −4.68651e6 | + | 4.91899e6i | −0.701316 | + | 0.736106i | ||||
\(538\) | 2.26580e6 | − | 3.92448e6i | 0.337494 | − | 0.584556i | ||||
\(539\) | −5.51899e6 | −0.818254 | ||||||||
\(540\) | −1.83647e6 | + | 638066.i | −0.271018 | + | 0.0941632i | ||||
\(541\) | −6.15263e6 | −0.903790 | −0.451895 | − | 0.892071i | \(-0.649252\pi\) | ||||
−0.451895 | + | 0.892071i | \(0.649252\pi\) | |||||||
\(542\) | −821226. | + | 1.42240e6i | −0.120078 | + | 0.207982i | ||||
\(543\) | 5.55314e6 | − | 5.82861e6i | 0.808237 | − | 0.848331i | ||||
\(544\) | −3.96336e6 | − | 6.86474e6i | −0.574204 | − | 0.994550i | ||||
\(545\) | 1.80873e6 | + | 3.13282e6i | 0.260845 | + | 0.451798i | ||||
\(546\) | 3.67261e6 | + | 1.24893e7i | 0.527221 | + | 1.79291i | ||||
\(547\) | −726146. | + | 1.25772e6i | −0.103766 | + | 0.179728i | −0.913233 | − | 0.407437i | \(-0.866423\pi\) |
0.809467 | + | 0.587165i | \(0.199756\pi\) | |||||||
\(548\) | −1.46572e6 | −0.208497 | ||||||||
\(549\) | −4.52415e6 | − | 2.32780e6i | −0.640629 | − | 0.329621i | ||||
\(550\) | 1.02512e6 | 0.144499 | ||||||||
\(551\) | −37167.3 | + | 64375.6i | −0.00521533 | + | 0.00903322i | ||||
\(552\) | −8.95757e6 | − | 2.16931e6i | −1.25125 | − | 0.303021i | ||||
\(553\) | −5.56686e6 | − | 9.64209e6i | −0.774101 | − | 1.34078i | ||||
\(554\) | 1.70122e6 | + | 2.94659e6i | 0.235497 | + | 0.407892i | ||||
\(555\) | 538250. | + | 130351.i | 0.0741740 | + | 0.0179631i | ||||
\(556\) | −1.55597e6 | + | 2.69502e6i | −0.213459 | + | 0.369722i | ||||
\(557\) | −723407. | −0.0987972 | −0.0493986 | − | 0.998779i | \(-0.515730\pi\) | ||||
−0.0493986 | + | 0.998779i | \(0.515730\pi\) | |||||||
\(558\) | −103108. | − | 2.12881e6i | −0.0140187 | − | 0.289436i | ||||
\(559\) | 1.65234e7 | 2.23650 | ||||||||
\(560\) | −163061. | + | 282429.i | −0.0219725 | + | 0.0380574i | ||||
\(561\) | 718059. | + | 2.44188e6i | 0.0963281 | + | 0.327580i | ||||
\(562\) | −1.62229e6 | − | 2.80988e6i | −0.216664 | − | 0.375273i | ||||
\(563\) | −3.36414e6 | − | 5.82685e6i | −0.447304 | − | 0.774753i | 0.550906 | − | 0.834567i | \(-0.314282\pi\) |
−0.998209 | + | 0.0598148i | \(0.980949\pi\) | |||||||
\(564\) | −1.77067e6 | + | 1.85851e6i | −0.234390 | + | 0.246018i | ||||
\(565\) | −2.50046e6 | + | 4.33092e6i | −0.329533 | + | 0.570767i | ||||
\(566\) | −4.98209e6 | −0.653688 | ||||||||
\(567\) | −6.10707e6 | + | 1.34292e7i | −0.797766 | + | 1.75426i | ||||
\(568\) | 3.88266e6 | 0.504962 | ||||||||
\(569\) | −4.83704e6 | + | 8.37800e6i | −0.626324 | + | 1.08482i | 0.361959 | + | 0.932194i | \(0.382108\pi\) |
−0.988283 | + | 0.152631i | \(0.951225\pi\) | |||||||
\(570\) | 58084.5 | − | 60965.9i | 0.00748812 | − | 0.00785959i | ||||
\(571\) | 5.20942e6 | + | 9.02298e6i | 0.668651 | + | 1.15814i | 0.978282 | + | 0.207280i | \(0.0664611\pi\) |
−0.309631 | + | 0.950857i | \(0.600206\pi\) | |||||||
\(572\) | −1.22232e6 | − | 2.11712e6i | −0.156205 | − | 0.270555i | ||||
\(573\) | −1.76664e6 | − | 6.00779e6i | −0.224783 | − | 0.764413i | ||||
\(574\) | −7.05039e6 | + | 1.22116e7i | −0.893168 | + | 1.54701i | ||||
\(575\) | −8.29558e6 | −1.04635 | ||||||||
\(576\) | −214583. | − | 4.43039e6i | −0.0269488 | − | 0.556398i | ||||
\(577\) | 6.79081e6 | 0.849145 | 0.424573 | − | 0.905394i | \(-0.360424\pi\) | ||||
0.424573 | + | 0.905394i | \(0.360424\pi\) | |||||||
\(578\) | −680086. | + | 1.17794e6i | −0.0846729 | + | 0.146658i | ||||
\(579\) | −1.39907e7 | − | 3.38820e6i | −1.73437 | − | 0.420022i | ||||
\(580\) | −299863. | − | 519378.i | −0.0370129 | − | 0.0641082i | ||||
\(581\) | −1.08309e7 | − | 1.87597e7i | −1.33115 | − | 2.30561i | ||||
\(582\) | −5.54961e6 | − | 1.34398e6i | −0.679133 | − | 0.164469i | ||||
\(583\) | −147783. | + | 255967.i | −0.0180074 | + | 0.0311898i | ||||
\(584\) | 6.53827e6 | 0.793287 | ||||||||
\(585\) | −5.33233e6 | − | 2.74363e6i | −0.644210 | − | 0.331464i | ||||
\(586\) | −6.15040e6 | −0.739877 | ||||||||
\(587\) | −2.76986e6 | + | 4.79754e6i | −0.331790 | + | 0.574677i | −0.982863 | − | 0.184338i | \(-0.940986\pi\) |
0.651073 | + | 0.759015i | \(0.274319\pi\) | |||||||
\(588\) | 4.11172e6 | + | 1.39826e7i | 0.490434 | + | 1.66781i | ||||
\(589\) | −82260.3 | − | 142479.i | −0.00977017 | − | 0.0169224i | ||||
\(590\) | −711573. | − | 1.23248e6i | −0.0841568 | − | 0.145764i | ||||
\(591\) | 8.38355e6 | − | 8.79944e6i | 0.987324 | − | 1.03630i | ||||
\(592\) | 36986.8 | − | 64062.9i | 0.00433753 | − | 0.00751281i | ||||
\(593\) | −2.31621e6 | −0.270484 | −0.135242 | − | 0.990813i | \(-0.543181\pi\) | ||||
−0.135242 | + | 0.990813i | \(0.543181\pi\) | |||||||
\(594\) | −292355. | + | 1.52670e6i | −0.0339973 | + | 0.177536i | ||||
\(595\) | 8.44119e6 | 0.977488 | ||||||||
\(596\) | 4.79288e6 | − | 8.30151e6i | 0.552689 | − | 0.957285i | ||||
\(597\) | 3.12125e6 | − | 3.27609e6i | 0.358421 | − | 0.376201i | ||||
\(598\) | −5.55005e6 | − | 9.61297e6i | −0.634664 | − | 1.09927i | ||||
\(599\) | 4.95493e6 | + | 8.58220e6i | 0.564249 | + | 0.977308i | 0.997119 | + | 0.0758517i | \(0.0241675\pi\) |
−0.432870 | + | 0.901456i | \(0.642499\pi\) | |||||||
\(600\) | −1.95597e6 | − | 6.65163e6i | −0.221812 | − | 0.754310i | ||||
\(601\) | 1.88883e6 | − | 3.27155e6i | 0.213308 | − | 0.369461i | −0.739440 | − | 0.673223i | \(-0.764910\pi\) |
0.952748 | + | 0.303762i | \(0.0982428\pi\) | |||||||
\(602\) | −1.42045e7 | −1.59747 | ||||||||
\(603\) | −6.46854e6 | + | 4.16436e6i | −0.724457 | + | 0.466396i | ||||
\(604\) | 1.02293e6 | 0.114091 | ||||||||
\(605\) | 183291. | − | 317470.i | 0.0203589 | − | 0.0352626i | ||||
\(606\) | 4.53422e6 | + | 1.09808e6i | 0.501558 | + | 0.121465i | ||||
\(607\) | −1.94747e6 | − | 3.37312e6i | −0.214536 | − | 0.371587i | 0.738593 | − | 0.674151i | \(-0.235491\pi\) |
−0.953129 | + | 0.302565i | \(0.902157\pi\) | |||||||
\(608\) | −186843. | − | 323622.i | −0.0204983 | − | 0.0355041i | ||||
\(609\) | −4.42299e6 | − | 1.07114e6i | −0.483250 | − | 0.117031i | ||||
\(610\) | −888959. | + | 1.53972e6i | −0.0967291 | + | 0.167540i | ||||
\(611\) | −7.91784e6 | −0.858033 | ||||||||
\(612\) | 5.65167e6 | − | 3.63847e6i | 0.609955 | − | 0.392681i | ||||
\(613\) | 1.43817e7 | 1.54582 | 0.772909 | − | 0.634517i | \(-0.218801\pi\) | ||||
0.772909 | + | 0.634517i | \(0.218801\pi\) | |||||||
\(614\) | −3.33017e6 | + | 5.76803e6i | −0.356489 | + | 0.617457i | ||||
\(615\) | −1.83247e6 | − | 6.23165e6i | −0.195366 | − | 0.664378i | ||||
\(616\) | 2.69115e6 | + | 4.66120e6i | 0.285749 | + | 0.494933i | ||||
\(617\) | 5.35867e6 | + | 9.28148e6i | 0.566688 | + | 0.981532i | 0.996890 | + | 0.0787996i | \(0.0251087\pi\) |
−0.430203 | + | 0.902732i | \(0.641558\pi\) | |||||||
\(618\) | −2.90684e6 | + | 3.05104e6i | −0.306161 | + | 0.321349i | ||||
\(619\) | −4.93241e6 | + | 8.54318e6i | −0.517407 | + | 0.896176i | 0.482388 | + | 0.875957i | \(0.339769\pi\) |
−0.999796 | + | 0.0202182i | \(0.993564\pi\) | |||||||
\(620\) | 1.32734e6 | 0.138677 | ||||||||
\(621\) | 2.36584e6 | − | 1.23546e7i | 0.246182 | − | 1.28558i | ||||
\(622\) | 8.04722e6 | 0.834007 | ||||||||
\(623\) | −2.34813e6 | + | 4.06708e6i | −0.242383 | + | 0.419820i | ||||
\(624\) | −552524. | + | 579933.i | −0.0568054 | + | 0.0596233i | ||||
\(625\) | −2.14069e6 | − | 3.70779e6i | −0.219207 | − | 0.379678i | ||||
\(626\) | 4.60045e6 | + | 7.96822e6i | 0.469207 | + | 0.812691i | ||||
\(627\) | 33851.2 | + | 115117.i | 0.00343878 | + | 0.0116942i | ||||
\(628\) | 1.36142e6 | − | 2.35805e6i | 0.137750 | − | 0.238591i | ||||
\(629\) | −1.91470e6 | −0.192963 | ||||||||
\(630\) | 4.58398e6 | + | 2.35859e6i | 0.460142 | + | 0.236756i | ||||
\(631\) | 5.01522e6 | 0.501437 | 0.250718 | − | 0.968060i | \(-0.419333\pi\) | ||||
0.250718 | + | 0.968060i | \(0.419333\pi\) | |||||||
\(632\) | −3.96715e6 | + | 6.87131e6i | −0.395081 | + | 0.684300i | ||||
\(633\) | −2.29081e6 | − | 554778.i | −0.227237 | − | 0.0550313i | ||||
\(634\) | −1.81917e6 | − | 3.15090e6i | −0.179742 | − | 0.311323i | ||||
\(635\) | 3.38481e6 | + | 5.86266e6i | 0.333119 | + | 0.576979i | ||||
\(636\) | 758605. | + | 183716.i | 0.0743657 | + | 0.0180096i | ||||
\(637\) | −2.24778e7 | + | 3.89328e7i | −2.19486 | + | 3.80160i | ||||
\(638\) | −479508. | −0.0466385 | ||||||||
\(639\) | 256363. | + | 5.29300e6i | 0.0248373 | + | 0.512802i | ||||
\(640\) | 3.15654e6 | 0.304622 | ||||||||
\(641\) | −6.91432e6 | + | 1.19760e7i | −0.664668 | + | 1.15124i | 0.314708 | + | 0.949189i | \(0.398094\pi\) |
−0.979375 | + | 0.202050i | \(0.935240\pi\) | |||||||
\(642\) | −1.15006e6 | − | 3.91099e6i | −0.110124 | − | 0.374498i | ||||
\(643\) | −4.08149e6 | − | 7.06935e6i | −0.389306 | − | 0.674298i | 0.603050 | − | 0.797703i | \(-0.293952\pi\) |
−0.992356 | + | 0.123405i | \(0.960619\pi\) | |||||||
\(644\) | −8.50325e6 | − | 1.47281e7i | −0.807924 | − | 1.39936i | ||||
\(645\) | 4.51347e6 | − | 4.73737e6i | 0.427181 | − | 0.448372i | ||||
\(646\) | −145564. | + | 252124.i | −0.0137237 | + | 0.0237702i | ||||
\(647\) | −2.75199e6 | −0.258455 | −0.129228 | − | 0.991615i | \(-0.541250\pi\) | ||||
−0.129228 | + | 0.991615i | \(0.541250\pi\) | |||||||
\(648\) | 1.04641e7 | − | 1.01603e6i | 0.978954 | − | 0.0950532i | ||||
\(649\) | 2.02794e6 | 0.188992 | ||||||||
\(650\) | 4.17511e6 | − | 7.23150e6i | 0.387600 | − | 0.671344i | ||||
\(651\) | 6.94766e6 | − | 7.29231e6i | 0.642519 | − | 0.674392i | ||||
\(652\) | 2.55967e6 | + | 4.43347e6i | 0.235811 | + | 0.408437i | ||||
\(653\) | 1.41929e6 | + | 2.45827e6i | 0.130253 | + | 0.225604i | 0.923774 | − | 0.382938i | \(-0.125088\pi\) |
−0.793521 | + | 0.608543i | \(0.791754\pi\) | |||||||
\(654\) | −2.15482e6 | − | 7.32784e6i | −0.197000 | − | 0.669933i | ||||
\(655\) | 424604. | − | 735435.i | 0.0386706 | − | 0.0669794i | ||||
\(656\) | −867617. | −0.0787170 | ||||||||
\(657\) | 431707. | + | 8.91323e6i | 0.0390190 | + | 0.805604i | ||||
\(658\) | 6.80664e6 | 0.612869 | ||||||||
\(659\) | 5.48367e6 | − | 9.49799e6i | 0.491878 | − | 0.851958i | −0.508078 | − | 0.861311i | \(-0.669644\pi\) |
0.999956 | + | 0.00935300i | \(0.00297720\pi\) | |||||||
\(660\) | −940880. | − | 227858.i | −0.0840764 | − | 0.0203613i | ||||
\(661\) | 1.07783e6 | + | 1.86686e6i | 0.0959504 | + | 0.166191i | 0.910005 | − | 0.414598i | \(-0.136078\pi\) |
−0.814054 | + | 0.580789i | \(0.802744\pi\) | |||||||
\(662\) | −2.06472e6 | − | 3.57621e6i | −0.183112 | − | 0.317159i | ||||
\(663\) | 2.01504e7 | + | 4.87993e6i | 1.78032 | + | 0.431151i | ||||
\(664\) | −7.71853e6 | + | 1.33689e7i | −0.679382 | + | 1.17672i | ||||
\(665\) | 397940. | 0.0348950 | ||||||||
\(666\) | −1.03978e6 | − | 534994.i | −0.0908353 | − | 0.0467373i | ||||
\(667\) | 3.88034e6 | 0.337719 | ||||||||
\(668\) | 436239. | − | 755588.i | 0.0378254 | − | 0.0655155i | ||||
\(669\) | 4.17305e6 | + | 1.41912e7i | 0.360486 | + | 1.22590i | ||||
\(670\) | 1.34414e6 | + | 2.32813e6i | 0.115680 | + | 0.200364i | ||||
\(671\) | −1.26674e6 | − | 2.19406e6i | −0.108613 | − | 0.188123i | ||||
\(672\) | 1.57806e7 | − | 1.65635e7i | 1.34804 | − | 1.41491i | ||||
\(673\) | 8.55599e6 | − | 1.48194e7i | 0.728170 | − | 1.26123i | −0.229486 | − | 0.973312i | \(-0.573705\pi\) |
0.957656 | − | 0.287915i | \(-0.0929621\pi\) | |||||||
\(674\) | 503960. | 0.0427314 | ||||||||
\(675\) | 8.93862e6 | − | 3.10565e6i | 0.755111 | − | 0.262357i | ||||
\(676\) | −1.23022e7 | −1.03542 | ||||||||
\(677\) | 2.62637e6 | − | 4.54900e6i | 0.220234 | − | 0.381456i | −0.734645 | − | 0.678452i | \(-0.762651\pi\) |
0.954879 | + | 0.296996i | \(0.0959847\pi\) | |||||||
\(678\) | 7.28362e6 | − | 7.64494e6i | 0.608518 | − | 0.638704i | ||||
\(679\) | −1.34922e7 | − | 2.33692e7i | −1.12307 | − | 1.94522i | ||||
\(680\) | −3.00775e6 | − | 5.20958e6i | −0.249442 | − | 0.432047i | ||||
\(681\) | 1.23555e6 | + | 4.20169e6i | 0.102092 | + | 0.347181i | ||||
\(682\) | 530634. | − | 919086.i | 0.0436852 | − | 0.0756650i | ||||
\(683\) | −3.61797e6 | −0.296765 | −0.148383 | − | 0.988930i | \(-0.547407\pi\) | ||||
−0.148383 | + | 0.988930i | \(0.547407\pi\) | |||||||
\(684\) | 266434. | − | 171527.i | 0.0217746 | − | 0.0140182i | ||||
\(685\) | −1.79033e6 | −0.145783 | ||||||||
\(686\) | 1.22030e7 | − | 2.11362e7i | 0.990048 | − | 1.71481i | ||||
\(687\) | −1.38408e7 | − | 3.35191e6i | −1.11885 | − | 0.270957i | ||||
\(688\) | −436998. | − | 756903.i | −0.0351973 | − | 0.0609634i | ||||
\(689\) | 1.20378e6 | + | 2.08501e6i | 0.0966051 | + | 0.167325i | ||||
\(690\) | −4.27214e6 | − | 1.03461e6i | −0.341604 | − | 0.0827281i | ||||
\(691\) | 8.95504e6 | − | 1.55106e7i | 0.713464 | − | 1.23576i | −0.250085 | − | 0.968224i | \(-0.580458\pi\) |
0.963549 | − | 0.267532i | \(-0.0862082\pi\) | |||||||
\(692\) | −1.40870e7 | −1.11829 | ||||||||
\(693\) | −6.17665e6 | + | 3.97645e6i | −0.488562 | + | 0.314530i | ||||
\(694\) | −1.31940e7 | −1.03987 | ||||||||
\(695\) | −1.90056e6 | + | 3.29187e6i | −0.149252 | + | 0.258512i | ||||
\(696\) | 914925. | + | 3.11136e6i | 0.0715917 | + | 0.243460i | ||||
\(697\) | 1.12285e7 | + | 1.94484e7i | 0.875470 | + | 1.51636i | ||||
\(698\) | −3.30709e6 | − | 5.72805e6i | −0.256926 | − | 0.445008i | ||||
\(699\) | −211009. | + | 221476.i | −0.0163346 | + | 0.0171449i | ||||
\(700\) | 6.39669e6 | − | 1.10794e7i | 0.493413 | − | 0.854616i | ||||
\(701\) | −319236. | −0.0245368 | −0.0122684 | − | 0.999925i | \(-0.503905\pi\) | ||||
−0.0122684 | + | 0.999925i | \(0.503905\pi\) | |||||||
\(702\) | 9.57912e6 | + | 8.28033e6i | 0.733639 | + | 0.634169i | ||||
\(703\) | −90264.1 | −0.00688853 | ||||||||
\(704\) | 1.10433e6 | − | 1.91276e6i | 0.0839785 | − | 0.145455i | ||||
\(705\) | −2.16281e6 | + | 2.27010e6i | −0.163888 | + | 0.172017i | ||||
\(706\) | 4.46170e6 | + | 7.72790e6i | 0.336891 | + | 0.583512i | ||||
\(707\) | 1.10236e7 | + | 1.90934e7i | 0.829420 | + | 1.43660i | ||||
\(708\) | −1.51084e6 | − | 5.13787e6i | −0.113275 | − | 0.385212i | ||||
\(709\) | 5.51742e6 | − | 9.55645e6i | 0.412212 | − | 0.713972i | −0.582919 | − | 0.812530i | \(-0.698090\pi\) |
0.995131 | + | 0.0985581i | \(0.0314230\pi\) | |||||||
\(710\) | 1.85176e6 | 0.137860 | ||||||||
\(711\) | −9.62918e6 | − | 4.95448e6i | −0.714357 | − | 0.367557i | ||||
\(712\) | 3.34673e6 | 0.247412 | ||||||||
\(713\) | −4.29407e6 | + | 7.43755e6i | −0.316334 | + | 0.547906i | ||||
\(714\) | −1.73224e7 | − | 4.19507e6i | −1.27164 | − | 0.307959i | ||||
\(715\) | −1.49302e6 | − | 2.58599e6i | −0.109220 | − | 0.189174i | ||||
\(716\) | 4.46704e6 | + | 7.73713e6i | 0.325639 | + | 0.564024i | ||||
\(717\) | 1.77688e7 | + | 4.30318e6i | 1.29081 | + | 0.312602i | ||||
\(718\) | 5.79894e6 | − | 1.00441e7i | 0.419795 | − | 0.727107i | ||||
\(719\) | −593552. | −0.0428190 | −0.0214095 | − | 0.999771i | \(-0.506815\pi\) | ||||
−0.0214095 | + | 0.999771i | \(0.506815\pi\) | |||||||
\(720\) | 15345.3 | + | 316825.i | 0.00110317 | + | 0.0227766i | ||||
\(721\) | −1.99149e7 | −1.42672 | ||||||||
\(722\) | 4.19186e6 | − | 7.26051e6i | 0.299270 | − | 0.518351i | ||||
\(723\) | −2.53184e6 | − | 8.60996e6i | −0.180132 | − | 0.612570i | ||||
\(724\) | −5.29308e6 | − | 9.16788e6i | −0.375285 | − | 0.650013i | ||||
\(725\) | 1.45952e6 | + | 2.52796e6i | 0.103125 | + | 0.178618i | ||||
\(726\) | −533913. | + | 560398.i | −0.0375949 | + | 0.0394598i | ||||
\(727\) | −1.99628e6 | + | 3.45766e6i | −0.140083 | + | 0.242631i | −0.927528 | − | 0.373754i | \(-0.878070\pi\) |
0.787445 | + | 0.616385i | \(0.211404\pi\) | |||||||
\(728\) | 4.38421e7 | 3.06594 | ||||||||
\(729\) | 2.07600e6 | + | 1.41979e7i | 0.144680 | + | 0.989478i | ||||
\(730\) | 3.11830e6 | 0.216576 | ||||||||
\(731\) | −1.13111e7 | + | 1.95914e7i | −0.782909 | + | 1.35604i | ||||
\(732\) | −4.61501e6 | + | 4.84394e6i | −0.318342 | + | 0.334134i | ||||
\(733\) | 614794. | + | 1.06485e6i | 0.0422639 | + | 0.0732032i | 0.886384 | − | 0.462952i | \(-0.153210\pi\) |
−0.844120 | + | 0.536155i | \(0.819876\pi\) | |||||||
\(734\) | −847471. | − | 1.46786e6i | −0.0580610 | − | 0.100565i | ||||
\(735\) | 5.02233e6 | + | 1.70793e7i | 0.342915 | + | 1.16614i | ||||
\(736\) | −9.75339e6 | + | 1.68934e7i | −0.663684 | + | 1.14953i | ||||
\(737\) | −3.83072e6 | −0.259784 | ||||||||
\(738\) | 663496. | + | 1.36988e7i | 0.0448433 | + | 0.925855i | ||||
\(739\) | 1.87395e7 | 1.26225 | 0.631126 | − | 0.775680i | \(-0.282593\pi\) | ||||
0.631126 | + | 0.775680i | \(0.282593\pi\) | |||||||
\(740\) | 364122. | − | 630678.i | 0.0244437 | − | 0.0423378i | ||||
\(741\) | 949941. | + | 230052.i | 0.0635552 | + | 0.0153915i | ||||
\(742\) | −1.03484e6 | − | 1.79240e6i | −0.0690024 | − | 0.119516i | ||||
\(743\) | 8.82217e6 | + | 1.52804e7i | 0.586278 | + | 1.01546i | 0.994715 | + | 0.102676i | \(0.0327405\pi\) |
−0.408437 | + | 0.912786i | \(0.633926\pi\) | |||||||
\(744\) | −6.97611e6 | − | 1.68944e6i | −0.462041 | − | 0.111895i | ||||
\(745\) | 5.85433e6 | − | 1.01400e7i | 0.386444 | − | 0.669341i | ||||
\(746\) | −1.36082e7 | −0.895270 | ||||||||
\(747\) | −1.87346e7 | − | 9.63949e6i | −1.22841 | − | 0.632051i | ||||
\(748\) | 3.34697e6 | 0.218724 | ||||||||
\(749\) | 9.63253e6 | − | 1.66840e7i | 0.627387 | − | 1.08667i | ||||
\(750\) | −2.09983e6 | − | 7.14085e6i | −0.136311 | − | 0.463550i | ||||
\(751\) | −2.81981e6 | − | 4.88406e6i | −0.182440 | − | 0.315996i | 0.760271 | − | 0.649606i | \(-0.225066\pi\) |
−0.942711 | + | 0.333611i | \(0.891733\pi\) | |||||||
\(752\) | 209405. | + | 362701.i | 0.0135034 | + | 0.0233886i | ||||
\(753\) | −1.21314e6 | + | 1.27332e6i | −0.0779695 | + | 0.0818373i | ||||
\(754\) | −1.95295e6 | + | 3.38260e6i | −0.125101 | + | 0.216682i | ||||
\(755\) | 1.24947e6 | 0.0797734 | ||||||||
\(756\) | 1.46762e7 | + | 1.26863e7i | 0.933918 | + | 0.807293i | ||||
\(757\) | 5.01554e6 | 0.318111 | 0.159055 | − | 0.987270i | \(-0.449155\pi\) | ||||
0.159055 | + | 0.987270i | \(0.449155\pi\) | |||||||
\(758\) | −5.76376e6 | + | 9.98313e6i | −0.364362 | + | 0.631094i | ||||
\(759\) | 4.32060e6 | − | 4.53493e6i | 0.272232 | − | 0.285737i | ||||
\(760\) | −141793. | − | 245593.i | −0.00890475 | − | 0.0154235i | ||||
\(761\) | 7.88239e6 | + | 1.36527e7i | 0.493397 | + | 0.854589i | 0.999971 | − | 0.00760781i | \(-0.00242166\pi\) |
−0.506574 | + | 0.862196i | \(0.669088\pi\) | |||||||
\(762\) | −4.03246e6 | − | 1.37131e7i | −0.251584 | − | 0.855556i | ||||
\(763\) | 1.80480e7 | − | 3.12601e7i | 1.12232 | − | 1.94392i | ||||
\(764\) | −8.23456e6 | −0.510396 | ||||||||
\(765\) | 6.90332e6 | − | 4.44427e6i | 0.426485 | − | 0.274566i | ||||
\(766\) | 1.26490e7 | 0.778904 | ||||||||
\(767\) | 8.25941e6 | − | 1.43057e7i | 0.506945 | − | 0.878054i | ||||
\(768\) | −1.53272e7 | − | 3.71187e6i | −0.937689 | − | 0.227085i | ||||
\(769\) | 2.57639e6 | + | 4.46244e6i | 0.157107 | + | 0.272118i | 0.933824 | − | 0.357732i | \(-0.116450\pi\) |
−0.776717 | + | 0.629850i | \(0.783117\pi\) | |||||||
\(770\) | 1.28349e6 | + | 2.22307e6i | 0.0780128 | + | 0.135122i | ||||
\(771\) | −3.12379e6 | − | 756505.i | −0.189254 | − | 0.0458327i | ||||
\(772\) | −9.46459e6 | + | 1.63931e7i | −0.571555 | + | 0.989963i | ||||
\(773\) | 8.35346e6 | 0.502826 | 0.251413 | − | 0.967880i | \(-0.419105\pi\) | ||||
0.251413 | + | 0.967880i | \(0.419105\pi\) | |||||||
\(774\) | −1.16166e7 | + | 7.47861e6i | −0.696989 | + | 0.448713i | ||||
\(775\) | −6.46055e6 | −0.386381 | ||||||||
\(776\) | −9.61505e6 | + | 1.66538e7i | −0.573188 | + | 0.992791i | ||||
\(777\) | −1.55898e6 | − | 5.30159e6i | −0.0926379 | − | 0.315031i | ||||
\(778\) | −6.82346e6 | − | 1.18186e7i | −0.404162 | − | 0.700029i | ||||
\(779\) | 529342. | + | 916848.i | 0.0312531 | + | 0.0541320i | ||||
\(780\) | −5.43941e6 | + | 5.70924e6i | −0.320122 | + | 0.336002i | ||||
\(781\) | −1.31935e6 | + | 2.28518e6i | −0.0773984 | + | 0.134058i | ||||
\(782\) | 1.51972e7 | 0.888681 | ||||||||
\(783\) | −4.18113e6 | + | 1.45270e6i | −0.243719 | + | 0.0846782i | ||||
\(784\) | 2.37791e6 | 0.138167 | ||||||||
\(785\) | 1.66293e6 | − | 2.88028e6i | 0.0963162 | − | 0.166825i | ||||
\(786\) | −1.23683e6 | + | 1.29819e6i | −0.0714094 | + | 0.0749518i | ||||
\(787\) | −4.75972e6 | − | 8.24408e6i | −0.273933 | − | 0.474467i | 0.695932 | − | 0.718108i | \(-0.254991\pi\) |
−0.969865 | + | 0.243641i | \(0.921658\pi\) | |||||||
\(788\) | −7.99094e6 | − | 1.38407e7i | −0.458440 | − | 0.794041i | ||||
\(789\) | 8.99653e6 | + | 3.05943e7i | 0.514496 | + | 1.74964i | ||||
\(790\) | −1.89206e6 | + | 3.27714e6i | −0.107861 | + | 0.186821i | ||||
\(791\) | 4.99005e7 | 2.83572 | ||||||||
\(792\) | 4.65496e6 | + | 2.39511e6i | 0.263696 | + | 0.135679i | ||||
\(793\) | −2.06368e7 | −1.16536 | ||||||||
\(794\) | 7.93378e6 | − | 1.37417e7i | 0.446610 | − | 0.773552i | ||||
\(795\) | 926610. | + | 224402.i | 0.0519971 | + | 0.0125924i | ||||
\(796\) | −2.97508e6 | − | 5.15299e6i | −0.166424 | − | 0.288255i | ||||
\(797\) | −1.20746e7 | − | 2.09137e7i | −0.673326 | − | 1.16623i | −0.976955 | − | 0.213444i | \(-0.931532\pi\) |
0.303629 | − | 0.952790i | \(-0.401802\pi\) | |||||||
\(798\) | −816624. | − | 197766.i | −0.0453957 | − | 0.0109937i | ||||
\(799\) | 5.42017e6 | − | 9.38800e6i | 0.300362 | − | 0.520243i | ||||
\(800\) | −1.46743e7 | −0.810646 | ||||||||
\(801\) | 220977. | + | 4.56240e6i | 0.0121693 | + | 0.251253i | ||||
\(802\) | −1.00572e7 | −0.552132 | ||||||||
\(803\) | −2.22174e6 | + | 3.84816e6i | −0.121592 | + | 0.210603i | ||||
\(804\) | 2.85394e6 | + | 9.70531e6i | 0.155706 | + | 0.529504i | ||||
\(805\) | −1.03864e7 | − | 1.79898e7i | −0.564906 | − | 0.978447i | ||||
\(806\) | −4.32235e6 | − | 7.48653e6i | −0.234359 | − | 0.405922i | ||||
\(807\) | 1.43679e7 | − | 1.50806e7i | 0.776621 | − | 0.815146i | ||||
\(808\) | 7.85582e6 | − | 1.36067e7i | 0.423315 | − | 0.733202i | ||||
\(809\) | 1.62622e7 | 0.873590 | 0.436795 | − | 0.899561i | \(-0.356113\pi\) | ||||
0.436795 | + | 0.899561i | \(0.356113\pi\) | |||||||
\(810\) | 4.99063e6 | − | 484574.i | 0.267265 | − | 0.0259506i | ||||
\(811\) | 3.19235e6 | 0.170435 | 0.0852175 | − | 0.996362i | \(-0.472841\pi\) | ||||
0.0852175 | + | 0.996362i | \(0.472841\pi\) | |||||||
\(812\) | −2.99212e6 | + | 5.18250e6i | −0.159253 | + | 0.275835i | ||||
\(813\) | −5.20756e6 | + | 5.46589e6i | −0.276317 | + | 0.290024i | ||||
\(814\) | −291132. | − | 504255.i | −0.0154003 | − | 0.0266741i | ||||
\(815\) | 3.12655e6 | + | 5.41534e6i | 0.164881 | + | 0.285582i | ||||
\(816\) | −309382. | − | 1.05211e6i | −0.0162656 | − | 0.0553140i | ||||
\(817\) | −533235. | + | 923590.i | −0.0279488 | + | 0.0484088i | ||||
\(818\) | −8.44786e6 | −0.441432 | ||||||||
\(819\) | 2.89480e6 | + | 5.97674e7i | 0.150803 | + | 3.11354i | ||||
\(820\) | −8.54140e6 | −0.443603 | ||||||||
\(821\) | −1.84650e6 | + | 3.19824e6i | −0.0956075 | + | 0.165597i | −0.909862 | − | 0.414911i | \(-0.863813\pi\) |
0.814254 | + | 0.580508i | \(0.197146\pi\) | |||||||
\(822\) | 3.67398e6 | + | 889748.i | 0.189652 | + | 0.0459291i | ||||
\(823\) | 3.81927e6 | + | 6.61516e6i | 0.196553 | + | 0.340440i | 0.947409 | − | 0.320026i | \(-0.103692\pi\) |
−0.750855 | + | 0.660467i | \(0.770358\pi\) | |||||||
\(824\) | 7.09605e6 | + | 1.22907e7i | 0.364081 | + | 0.630608i | ||||
\(825\) | 4.57953e6 | + | 1.10905e6i | 0.234254 | + | 0.0567305i | ||||
\(826\) | −7.10027e6 | + | 1.22980e7i | −0.362097 | + | 0.627170i | ||||
\(827\) | 9.78270e6 | 0.497388 | 0.248694 | − | 0.968582i | \(-0.419999\pi\) | ||||
0.248694 | + | 0.968582i | \(0.419999\pi\) | |||||||
\(828\) | −1.47084e7 | − | 7.56786e6i | −0.745570 | − | 0.383616i | ||||
\(829\) | −2.49371e6 | −0.126026 | −0.0630129 | − | 0.998013i | \(-0.520071\pi\) | ||||
−0.0630129 | + | 0.998013i | \(0.520071\pi\) | |||||||
\(830\) | −3.68120e6 | + | 6.37603e6i | −0.185479 | + | 0.321259i | ||||
\(831\) | 4.41204e6 | + | 1.50039e7i | 0.221634 | + | 0.753706i | ||||
\(832\) | −8.99548e6 | − | 1.55806e7i | −0.450522 | − | 0.780327i | ||||
\(833\) | −3.07744e7 | − | 5.33029e7i | −1.53666 | − | 2.66157i | ||||
\(834\) | 5.53618e6 | − | 5.81081e6i | 0.275610 | − | 0.289282i | ||||
\(835\) | 532851. | − | 922925.i | 0.0264478 | − | 0.0458089i | ||||
\(836\) | 157785. | 0.00780817 | ||||||||
\(837\) | 1.84250e6 | − | 9.62166e6i | 0.0909063 | − | 0.474719i | ||||
\(838\) | −5.73366e6 | −0.282047 | ||||||||
\(839\) | −1.40768e7 | + | 2.43818e7i | −0.690399 | + | 1.19581i | 0.281308 | + | 0.959617i | \(0.409232\pi\) |
−0.971707 | + | 0.236188i | \(0.924102\pi\) | |||||||
\(840\) | 1.19758e7 | − | 1.25699e7i | 0.585606 | − | 0.614656i | ||||
\(841\) | 9.57287e6 | + | 1.65807e7i | 0.466715 | + | 0.808375i | ||||
\(842\) | 1.21737e7 | + | 2.10855e7i | 0.591757 | + | 1.02495i | ||||
\(843\) | −4.20734e6 | − | 1.43078e7i | −0.203910 | − | 0.693432i | ||||
\(844\) | −1.54971e6 | + | 2.68418e6i | −0.0748851 | + | 0.129705i | ||||
\(845\) | −1.50268e7 | −0.723975 | ||||||||
\(846\) | 5.56655e6 | − | 3.58368e6i | 0.267399 | − | 0.172148i | ||||
\(847\) | −3.65786e6 | −0.175194 | ||||||||
\(848\) | 63673.5 | − | 110286.i | 0.00304067 | − | 0.00526660i | ||||
\(849\) | −2.22567e7 | − | 5.39002e6i | −1.05972 | − | 0.256638i | ||||
\(850\) | 5.71615e6 | + | 9.90065e6i | 0.271366 | + | 0.470020i | ||||
\(851\) | 2.35594e6 | + | 4.08060e6i | 0.111517 | + | 0.193152i | ||||
\(852\) | 6.77254e6 | + | 1.64014e6i | 0.319634 | + | 0.0774075i | ||||
\(853\) | −1.66005e7 | + | 2.87529e7i | −0.781175 | + | 1.35303i | 0.150083 | + | 0.988673i | \(0.452046\pi\) |
−0.931258 | + | 0.364361i | \(0.881287\pi\) | |||||||
\(854\) | 1.77406e7 | 0.832382 | ||||||||
\(855\) | 325440. | − | 209514.i | 0.0152250 | − | 0.00980164i | ||||
\(856\) | −1.37290e7 | −0.640404 | ||||||||
\(857\) | −1.81588e7 | + | 3.14519e7i | −0.844567 | + | 1.46283i | 0.0414298 | + | 0.999141i | \(0.486809\pi\) |
−0.885997 | + | 0.463691i | \(0.846525\pi\) | |||||||
\(858\) | 1.77870e6 | + | 6.04879e6i | 0.0824869 | + | 0.280511i | ||||
\(859\) | 1.87835e6 | + | 3.25340e6i | 0.0868548 | + | 0.150437i | 0.906180 | − | 0.422892i | \(-0.138985\pi\) |
−0.819325 | + | 0.573329i | \(0.805652\pi\) | |||||||
\(860\) | −4.30210e6 | − | 7.45146e6i | −0.198351 | − | 0.343554i | ||||
\(861\) | −4.47079e7 | + | 4.69257e7i | −2.05531 | + | 2.15726i | ||||
\(862\) | −7.40387e6 | + | 1.28239e7i | −0.339384 | + | 0.587830i | ||||
\(863\) | 2.05924e7 | 0.941198 | 0.470599 | − | 0.882347i | \(-0.344038\pi\) | ||||
0.470599 | + | 0.882347i | \(0.344038\pi\) | |||||||
\(864\) | 4.18499e6 | − | 2.18543e7i | 0.190726 | − | 0.995984i | ||||
\(865\) | −1.72068e7 | −0.781917 | ||||||||
\(866\) | 5.56699e6 | − | 9.64231e6i | 0.252247 | − | 0.436904i | ||||
\(867\) | −4.31256e6 | + | 4.52649e6i | −0.194844 | + | 0.204510i | ||||
\(868\) | −6.62229e6 | − | 1.14701e7i | −0.298338 | − | 0.516737i | ||||
\(869\) | −2.69612e6 | − | 4.66981e6i | −0.121113 | − | 0.209773i | ||||
\(870\) | 436356. | + | 1.48390e6i | 0.0195453 | + | 0.0664673i | ||||
\(871\) | −1.56018e7 | + | 2.70232e7i | −0.696835 | + | 1.20695i | ||||
\(872\) | −2.57234e7 | −1.14561 | ||||||||
\(873\) | −2.33379e7 | − | 1.20080e7i | −1.03640 | − | 0.533256i | ||||
\(874\) | 716434. | 0.0317247 | ||||||||
\(875\) | 1.75875e7 | − | 3.04624e7i | 0.776575 | − | 1.34507i | ||||
\(876\) | 1.14047e7 | + | 2.76195e6i | 0.502140 | + | 0.121606i | ||||
\(877\) | −5.82750e6 | − | 1.00935e7i | −0.255849 | − | 0.443143i | 0.709277 | − | 0.704930i | \(-0.249022\pi\) |
−0.965126 | + | 0.261787i | \(0.915688\pi\) | |||||||
\(878\) | 3.97316e6 | + | 6.88172e6i | 0.173940 | + | 0.301273i | ||||
\(879\) | −2.74759e7 | − | 6.65399e6i | −1.19944 | − | 0.290476i | ||||
\(880\) | −78972.8 | + | 136785.i | −0.00343772 | + | 0.00595431i | ||||
\(881\) | 1.63913e7 | 0.711496 | 0.355748 | − | 0.934582i | \(-0.384226\pi\) | ||||
0.355748 | + | 0.934582i | \(0.384226\pi\) | |||||||
\(882\) | −1.81847e6 | − | 3.75449e7i | −0.0787107 | − | 1.62510i | ||||
\(883\) | 1.53091e7 | 0.660768 | 0.330384 | − | 0.943847i | \(-0.392822\pi\) | ||||
0.330384 | + | 0.943847i | \(0.392822\pi\) | |||||||
\(884\) | 1.36316e7 | − | 2.36106e7i | 0.586699 | − | 1.01619i | ||||
\(885\) | −1.84544e6 | − | 6.27573e6i | −0.0792029 | − | 0.269343i | ||||
\(886\) | 1.28638e6 | + | 2.22807e6i | 0.0550534 | + | 0.0953552i | ||||
\(887\) | −2.95207e6 | − | 5.11313e6i | −0.125984 | − | 0.218212i | 0.796133 | − | 0.605122i | \(-0.206876\pi\) |
−0.922117 | + | 0.386910i | \(0.873542\pi\) | |||||||
\(888\) | −2.71645e6 | + | 2.85120e6i | −0.115603 | + | 0.121338i | ||||
\(889\) | 3.37745e7 | − | 5.84992e7i | 1.43329 | − | 2.48254i | ||||
\(890\) | 1.59616e6 | 0.0675462 | ||||||||
\(891\) | −2.95775e6 | + | 6.50398e6i | −0.124815 | + | 0.274464i | ||||
\(892\) | 1.94511e7 | 0.818527 | ||||||||
\(893\) | 255521. | − | 442575.i | 0.0107225 | − | 0.0185720i | ||||
\(894\) | −1.70532e7 | + | 1.78991e7i | −0.713611 | + | 0.749011i | ||||
\(895\) | 5.45633e6 | + | 9.45064e6i | 0.227690 | + | 0.394370i | ||||
\(896\) | −1.57484e7 | − | 2.72770e7i | −0.655339 | − | 1.13508i | ||||
\(897\) | −1.43939e7 | − | 4.89488e7i | −0.597305 | − | 2.03124i | ||||
\(898\) | −192866. | + | 334054.i | −0.00798114 | + | 0.0138237i | ||||
\(899\) | 3.02199e6 | 0.124708 | ||||||||
\(900\) | −601978. | − | 1.24287e7i | −0.0247728 | − | 0.511470i | ||||
\(901\) | −3.29620e6 | −0.135270 | ||||||||
\(902\) | −3.41461e6 | + | 5.91429e6i | −0.139741 | + | 0.242039i | ||||
\(903\) | −6.34560e7 | − | 1.53675e7i | −2.58972 | − | 0.627168i | ||||
\(904\) | −1.77805e7 | − | 3.07967e7i | −0.723639 | − | 1.25338i | ||||
\(905\) | −6.46531e6 | − | 1.11982e7i | −0.262402 | − | 0.454494i | ||||
\(906\) | −2.56407e6 | − | 620955.i | −0.103779 | − | 0.0251327i | ||||
\(907\) | 8.80809e6 | − | 1.52561e7i | 0.355520 | − | 0.615778i | −0.631687 | − | 0.775223i | \(-0.717637\pi\) |
0.987207 | + | 0.159445i | \(0.0509706\pi\) | |||||||
\(908\) | 5.75904e6 | 0.231812 | ||||||||
\(909\) | 1.90679e7 | + | 9.81095e6i | 0.765407 | + | 0.393823i | ||||
\(910\) | 2.09097e7 | 0.837035 | ||||||||
\(911\) | −2.11046e7 | + | 3.65542e7i | −0.842520 | + | 1.45929i | 0.0452371 | + | 0.998976i | \(0.485596\pi\) |
−0.887757 | + | 0.460312i | \(0.847738\pi\) | |||||||
\(912\) | −14585.1 | − | 49599.2i | −0.000580660 | − | 0.00197464i | ||||
\(913\) | −5.24559e6 | − | 9.08563e6i | −0.208266 | − | 0.360727i | ||||
\(914\) | 6.89110e6 | + | 1.19357e7i | 0.272849 | + | 0.472589i | ||||
\(915\) | −5.63707e6 | + | 5.91671e6i | −0.222587 | + | 0.233629i | ||||
\(916\) | −9.36322e6 | + | 1.62176e7i | −0.368711 | + | 0.638627i | ||||
\(917\) | −8.47362e6 | −0.332771 | ||||||||
\(918\) | −1.63752e7 | + | 5.68943e6i | −0.641327 | + | 0.222824i | ||||
\(919\) | 1.40792e7 | 0.549908 | 0.274954 | − | 0.961457i | \(-0.411337\pi\) | ||||
0.274954 | + | 0.961457i | \(0.411337\pi\) | |||||||
\(920\) | −7.40175e6 | + | 1.28202e7i | −0.288314 | + | 0.499374i | ||||
\(921\) | −2.11173e7 | + | 2.21649e7i | −0.820332 | + | 0.861026i | ||||
\(922\) | −2.20251e6 | − | 3.81486e6i | −0.0853277 | − | 0.147792i | ||||
\(923\) | 1.07469e7 | + | 1.86142e7i | 0.415222 | + | 0.719185i | ||||
\(924\) | 2.72516e6 | + | 9.26737e6i | 0.105005 | + | 0.357089i | ||||
\(925\) | −1.77229e6 | + | 3.06969e6i | −0.0681051 | + | 0.117962i | ||||
\(926\) | −1.86212e7 | −0.713642 | ||||||||
\(927\) | −1.62867e7 | + | 1.04851e7i | −0.622491 | + | 0.400752i | ||||
\(928\) | 6.86403e6 | 0.261643 | ||||||||
\(929\) | 1.81091e7 | − | 3.13659e7i | 0.688426 | − | 1.19239i | −0.283920 | − | 0.958848i | \(-0.591635\pi\) |
0.972347 | − | 0.233542i | \(-0.0750316\pi\) | |||||||
\(930\) | −3.32712e6 | − | 805747.i | −0.126142 | − | 0.0305486i | ||||
\(931\) | −1.45079e6 | − | 2.51284e6i | −0.0548567 | − | 0.0950146i | ||||
\(932\) | 201127. | + | 348362.i | 0.00758456 | + | 0.0131369i | ||||
\(933\) | 3.59496e7 | + | 8.70612e6i | 1.35204 | + | 0.327431i | ||||
\(934\) | −2.19280e6 | + | 3.79804e6i | −0.0822492 | + | 0.142460i | ||||
\(935\) | 4.08820e6 | 0.152934 | ||||||||
\(936\) | 3.58547e7 | − | 2.30828e7i | 1.33769 | − | 0.861189i | ||||
\(937\) | −1.01365e7 | −0.377172 | −0.188586 | − | 0.982057i | \(-0.560391\pi\) | ||||
−0.188586 | + | 0.982057i | \(0.560391\pi\) | |||||||
\(938\) | 1.34122e7 | − | 2.32307e7i | 0.497730 | − | 0.862094i | ||||
\(939\) | 1.19311e7 | + | 4.05738e7i | 0.441587 | + | 1.50170i | ||||
\(940\) | 2.06152e6 | + | 3.57067e6i | 0.0760972 | + | 0.131804i | ||||
\(941\) | 1.62395e7 | + | 2.81277e7i | 0.597860 | + | 1.03552i | 0.993136 | + | 0.116962i | \(0.0373156\pi\) |
−0.395276 | + | 0.918562i | \(0.629351\pi\) | |||||||
\(942\) | −4.84397e6 | + | 5.08426e6i | −0.177858 | + | 0.186681i | ||||
\(943\) | 2.76322e7 | − | 4.78604e7i | 1.01190 | − | 1.75266i | ||||
\(944\) | −873755. | −0.0319124 | ||||||||
\(945\) | 1.79265e7 | + | 1.54959e7i | 0.653003 | + | 0.564465i | ||||
\(946\) | −6.87944e6 | −0.249934 | ||||||||
\(947\) | 268216. | − | 464563.i | 0.00971872 | − | 0.0168333i | −0.861125 | − | 0.508393i | \(-0.830240\pi\) |
0.870844 | + | 0.491560i | \(0.163573\pi\) | |||||||
\(948\) | −9.82255e6 | + | 1.03098e7i | −0.354980 | + | 0.372589i | ||||
\(949\) | 1.80975e7 | + | 3.13457e7i | 0.652307 | + | 1.12983i | ||||
\(950\) | 269474. | + | 466743.i | 0.00968742 | + | 0.0167791i | ||||
\(951\) | −4.71795e6 | − | 1.60442e7i | −0.169162 | − | 0.575264i | ||||
\(952\) | −3.00122e7 | + | 5.19826e7i | −1.07326 | + | 1.85894i | ||||
\(953\) | 2.13217e7 | 0.760484 | 0.380242 | − | 0.924887i | \(-0.375841\pi\) | ||||
0.380242 | + | 0.924887i | \(0.375841\pi\) | |||||||
\(954\) | −1.79000e6 | − | 921005.i | −0.0636769 | − | 0.0327635i | ||||
\(955\) | −1.00582e7 | −0.356873 | ||||||||
\(956\) | 1.20205e7 | − | 2.08201e7i | 0.425380 | − | 0.736780i | ||||
\(957\) | −2.14212e6 | − | 518770.i | −0.0756074 | − | 0.0183103i | ||||
\(958\) | 1.51540e7 | + | 2.62476e7i | 0.533476 | + | 0.924007i | ||||
\(959\) | 8.93218e6 | + | 1.54710e7i | 0.313625 | + | 0.543215i | ||||
\(960\) | −6.92425e6 | − | 1.67688e6i | −0.242491 | − | 0.0587253i | ||||
\(961\) | 1.09704e7 | − | 1.90012e7i | 0.383189 | − | 0.663703i | ||||
\(962\) | −4.74291e6 | −0.165237 | ||||||||
\(963\) | −906495. | − | 1.87159e7i | −0.0314992 | − | 0.650347i | ||||
\(964\) | −1.18012e7 | −0.409011 | ||||||||
\(965\) | −1.15607e7 | + | 2.00237e7i | −0.399636 | + | 0.692190i | ||||
\(966\) | 1.23738e7 | + | 4.20792e7i | 0.426638 | + | 1.45086i | ||||
\(967\) | −59778.2 | − | 103539.i | −0.00205578 | − | 0.00356071i | 0.864996 | − | 0.501779i | \(-0.167321\pi\) |
−0.867051 | + | 0.498219i | \(0.833988\pi\) | |||||||
\(968\) | 1.30336e6 | + | 2.25749e6i | 0.0447072 | + | 0.0774351i | ||||
\(969\) | −923051. | + | 968840.i | −0.0315803 | + | 0.0331469i | ||||
\(970\) | −4.58571e6 | + | 7.94269e6i | −0.156487 | + | 0.271043i | ||||
\(971\) | −2.54449e7 | −0.866070 | −0.433035 | − | 0.901377i | \(-0.642557\pi\) | ||||
−0.433035 | + | 0.901377i | \(0.642557\pi\) | |||||||
\(972\) | 1.86817e7 | + | 2.64805e6i | 0.634236 | + | 0.0899002i | ||||
\(973\) | 3.79287e7 | 1.28436 | ||||||||
\(974\) | 1.04881e7 | − | 1.81659e7i | 0.354242 | − | 0.613565i | ||||
\(975\) | 2.64752e7 | − | 2.77885e7i | 0.891923 | − | 0.936169i | ||||
\(976\) | 545786. | + | 945329.i | 0.0183399 | + | 0.0317657i | ||||
\(977\) | 2.55546e7 | + | 4.42619e7i | 0.856511 | + | 1.48352i | 0.875236 | + | 0.483696i | \(0.160706\pi\) |
−0.0187251 | + | 0.999825i | \(0.505961\pi\) | |||||||
\(978\) | −3.72479e6 | − | 1.26668e7i | −0.124524 | − | 0.423467i | ||||
\(979\) | −1.13724e6 | + | 1.96975e6i | −0.0379223 | + | 0.0656833i | ||||
\(980\) | 2.34097e7 | 0.778630 | ||||||||
\(981\) | −1.69846e6 | − | 3.50672e7i | −0.0563485 | − | 1.16340i | ||||
\(982\) | 2.96379e7 | 0.980772 | ||||||||
\(983\) | −2.42338e6 | + | 4.19742e6i | −0.0799903 | + | 0.138547i | −0.903246 | − | 0.429124i | \(-0.858822\pi\) |
0.823255 | + | 0.567671i | \(0.192156\pi\) | |||||||
\(984\) | 4.48910e7 | + | 1.08715e7i | 1.47799 | + | 0.357933i | ||||
\(985\) | −9.76066e6 | − | 1.69060e7i | −0.320545 | − | 0.555200i | ||||
\(986\) | −2.67378e6 | − | 4.63113e6i | −0.0875858 | − | 0.151703i | ||||
\(987\) | 3.04075e7 | + | 7.36395e6i | 0.993546 | + | 0.240613i | ||||
\(988\) | 642628. | − | 1.11306e6i | 0.0209444 | − | 0.0362767i | ||||
\(989\) | 5.56708e7 | 1.80982 | ||||||||
\(990\) | 2.22010e6 | + | 1.14230e6i | 0.0719919 | + | 0.0370418i | ||||
\(991\) | −2.77987e7 | −0.899167 | −0.449584 | − | 0.893238i | \(-0.648428\pi\) | ||||
−0.449584 | + | 0.893238i | \(0.648428\pi\) | |||||||
\(992\) | −7.59589e6 | + | 1.31565e7i | −0.245075 | + | 0.424483i | ||||
\(993\) | −5.35478e6 | − | 1.82099e7i | −0.172333 | − | 0.586049i | ||||
\(994\) | −9.23868e6 | − | 1.60019e7i | −0.296581 | − | 0.513694i | ||||
\(995\) | −3.63396e6 | − | 6.29420e6i | −0.116365 | − | 0.201550i | ||||
\(996\) | −1.91108e7 | + | 2.00589e7i | −0.610424 | + | 0.640705i | ||||
\(997\) | 1.53092e6 | − | 2.65164e6i | 0.0487771 | − | 0.0844843i | −0.840606 | − | 0.541647i | \(-0.817801\pi\) |
0.889383 | + | 0.457163i | \(0.151134\pi\) | |||||||
\(998\) | −1.11069e7 | −0.352995 | ||||||||
\(999\) | −4.06623e6 | − | 3.51491e6i | −0.128908 | − | 0.111430i |
(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 | 99.6.e.a.34.9 | ✓ | 46 | |
3.2 | odd | 2 | 297.6.e.a.100.15 | 46 | |||
9.2 | odd | 6 | 891.6.a.e.1.9 | 23 | |||
9.4 | even | 3 | inner | 99.6.e.a.67.9 | yes | 46 | |
9.5 | odd | 6 | 297.6.e.a.199.15 | 46 | |||
9.7 | even | 3 | 891.6.a.f.1.15 | 23 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.6.e.a.34.9 | ✓ | 46 | 1.1 | even | 1 | trivial | |
99.6.e.a.67.9 | yes | 46 | 9.4 | even | 3 | inner | |
297.6.e.a.100.15 | 46 | 3.2 | odd | 2 | |||
297.6.e.a.199.15 | 46 | 9.5 | odd | 6 | |||
891.6.a.e.1.9 | 23 | 9.2 | odd | 6 | |||
891.6.a.f.1.15 | 23 | 9.7 | even | 3 |