Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), 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: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.4 | ||
Character | \(\chi\) | \(=\) | 36.31 |
Dual form | 36.5.f.a.7.4 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.28826 | + | 2.27757i | −0.822066 | + | 0.569392i | ||||
\(3\) | −8.99820 | − | 0.179896i | −0.999800 | − | 0.0199885i | ||||
\(4\) | 5.62536 | − | 14.9785i | 0.351585 | − | 0.936156i | ||||
\(5\) | −2.83091 | + | 4.90328i | −0.113236 | + | 0.196131i | −0.917073 | − | 0.398718i | \(-0.869455\pi\) |
0.803837 | + | 0.594850i | \(0.202788\pi\) | |||||||
\(6\) | 29.9982 | − | 19.9025i | 0.833283 | − | 0.552847i | ||||
\(7\) | 45.1595 | − | 26.0728i | 0.921621 | − | 0.532098i | 0.0374695 | − | 0.999298i | \(-0.488070\pi\) |
0.884152 | + | 0.467199i | \(0.154737\pi\) | |||||||
\(8\) | 15.6169 | + | 62.0654i | 0.244014 | + | 0.969772i | ||||
\(9\) | 80.9353 | + | 3.23749i | 0.999201 | + | 0.0399690i | ||||
\(10\) | −1.85878 | − | 22.5709i | −0.0185878 | − | 0.225709i | ||||
\(11\) | 92.3736 | − | 53.3319i | 0.763418 | − | 0.440760i | −0.0671034 | − | 0.997746i | \(-0.521376\pi\) |
0.830522 | + | 0.556986i | \(0.188042\pi\) | |||||||
\(12\) | −53.3127 | + | 133.768i | −0.370227 | + | 0.928941i | ||||
\(13\) | 61.0686 | − | 105.774i | 0.361352 | − | 0.625881i | −0.626831 | − | 0.779155i | \(-0.715648\pi\) |
0.988184 | + | 0.153274i | \(0.0489818\pi\) | |||||||
\(14\) | −89.1136 | + | 188.588i | −0.454661 | + | 0.962184i | ||||
\(15\) | 26.3552 | − | 43.6114i | 0.117134 | − | 0.193829i | ||||
\(16\) | −192.711 | − | 168.519i | −0.752776 | − | 0.658277i | ||||
\(17\) | −122.675 | −0.424481 | −0.212240 | − | 0.977217i | \(-0.568076\pi\) | ||||
−0.212240 | + | 0.977217i | \(0.568076\pi\) | |||||||
\(18\) | −273.510 | + | 173.690i | −0.844167 | + | 0.536080i | ||||
\(19\) | − | 593.624i | − | 1.64439i | −0.569207 | − | 0.822194i | \(-0.692750\pi\) | ||
0.569207 | − | 0.822194i | \(-0.307250\pi\) | |||||||
\(20\) | 57.5188 | + | 69.9855i | 0.143797 | + | 0.174964i | ||||
\(21\) | −411.044 | + | 226.484i | −0.932073 | + | 0.513570i | ||||
\(22\) | −182.282 | + | 385.757i | −0.376615 | + | 0.797018i | ||||
\(23\) | 473.649 | + | 273.461i | 0.895366 | + | 0.516940i | 0.875694 | − | 0.482867i | \(-0.160404\pi\) |
0.0196720 | + | 0.999806i | \(0.493738\pi\) | |||||||
\(24\) | −129.358 | − | 561.286i | −0.224581 | − | 0.974456i | ||||
\(25\) | 296.472 | + | 513.504i | 0.474355 | + | 0.821607i | ||||
\(26\) | 40.0976 | + | 486.900i | 0.0593160 | + | 0.720266i | ||||
\(27\) | −727.690 | − | 43.6915i | −0.998202 | − | 0.0599335i | ||||
\(28\) | −136.493 | − | 823.090i | −0.174099 | − | 1.04986i | ||||
\(29\) | −367.933 | − | 637.279i | −0.437495 | − | 0.757763i | 0.560001 | − | 0.828492i | \(-0.310801\pi\) |
−0.997496 | + | 0.0707290i | \(0.977467\pi\) | |||||||
\(30\) | 12.6652 | + | 203.432i | 0.0140725 | + | 0.226035i | ||||
\(31\) | 507.427 | + | 292.963i | 0.528020 | + | 0.304853i | 0.740210 | − | 0.672376i | \(-0.234726\pi\) |
−0.212190 | + | 0.977228i | \(0.568059\pi\) | |||||||
\(32\) | 1017.50 | + | 115.223i | 0.993649 | + | 0.112523i | ||||
\(33\) | −840.791 | + | 463.274i | −0.772076 | + | 0.425412i | ||||
\(34\) | 403.388 | − | 279.401i | 0.348951 | − | 0.241696i | ||||
\(35\) | 295.239i | 0.241012i | ||||||||
\(36\) | 503.783 | − | 1194.08i | 0.388721 | − | 0.921355i | ||||
\(37\) | 2289.29 | 1.67223 | 0.836117 | − | 0.548551i | \(-0.184820\pi\) | ||||
0.836117 | + | 0.548551i | \(0.184820\pi\) | |||||||
\(38\) | 1352.02 | + | 1951.99i | 0.936302 | + | 1.35180i | ||||
\(39\) | −568.535 | + | 940.788i | −0.373791 | + | 0.618533i | ||||
\(40\) | −348.534 | − | 99.1276i | −0.217834 | − | 0.0619548i | ||||
\(41\) | 1434.13 | − | 2483.99i | 0.853142 | − | 1.47769i | −0.0252152 | − | 0.999682i | \(-0.508027\pi\) |
0.878358 | − | 0.478004i | \(-0.158640\pi\) | |||||||
\(42\) | 835.788 | − | 1680.92i | 0.473803 | − | 0.952904i | ||||
\(43\) | −1943.81 | + | 1122.26i | −1.05128 | + | 0.606955i | −0.923007 | − | 0.384784i | \(-0.874276\pi\) |
−0.128270 | + | 0.991739i | \(0.540943\pi\) | |||||||
\(44\) | −279.197 | − | 1683.63i | −0.144213 | − | 0.869643i | ||||
\(45\) | −244.995 | + | 387.683i | −0.120985 | + | 0.191448i | ||||
\(46\) | −2180.31 | + | 179.555i | −1.03039 | + | 0.0848557i | ||||
\(47\) | −913.531 | + | 527.427i | −0.413550 | + | 0.238763i | −0.692314 | − | 0.721597i | \(-0.743409\pi\) |
0.278764 | + | 0.960360i | \(0.410075\pi\) | |||||||
\(48\) | 1703.73 | + | 1551.04i | 0.739467 | + | 0.673192i | ||||
\(49\) | 159.084 | − | 275.542i | 0.0662574 | − | 0.114761i | ||||
\(50\) | −2144.42 | − | 1013.30i | −0.857768 | − | 0.405321i | ||||
\(51\) | 1103.85 | + | 22.0688i | 0.424396 | + | 0.00848472i | ||||
\(52\) | −1240.80 | − | 1509.73i | −0.458876 | − | 0.558333i | ||||
\(53\) | −4752.60 | −1.69192 | −0.845960 | − | 0.533246i | \(-0.820972\pi\) | ||||
−0.845960 | + | 0.533246i | \(0.820972\pi\) | |||||||
\(54\) | 2492.35 | − | 1513.69i | 0.854714 | − | 0.519099i | ||||
\(55\) | 603.911i | 0.199640i | ||||||||
\(56\) | 2323.47 | + | 2395.66i | 0.740902 | + | 0.763923i | ||||
\(57\) | −106.791 | + | 5341.55i | −0.0328688 | + | 1.64406i | ||||
\(58\) | 2661.31 | + | 1257.55i | 0.791114 | + | 0.373825i | ||||
\(59\) | −1864.25 | − | 1076.32i | −0.535549 | − | 0.309200i | 0.207724 | − | 0.978188i | \(-0.433394\pi\) |
−0.743273 | + | 0.668988i | \(0.766728\pi\) | |||||||
\(60\) | −504.976 | − | 640.091i | −0.140271 | − | 0.177803i | ||||
\(61\) | 33.1660 | + | 57.4451i | 0.00891319 | + | 0.0154381i | 0.870448 | − | 0.492261i | \(-0.163829\pi\) |
−0.861534 | + | 0.507699i | \(0.830496\pi\) | |||||||
\(62\) | −2335.80 | + | 192.360i | −0.607648 | + | 0.0500416i | ||||
\(63\) | 3739.40 | − | 1964.01i | 0.942152 | − | 0.494837i | ||||
\(64\) | −3608.23 | + | 1938.53i | −0.880915 | + | 0.473275i | ||||
\(65\) | 345.759 | + | 598.872i | 0.0818365 | + | 0.141745i | ||||
\(66\) | 1709.60 | − | 3438.32i | 0.392471 | − | 0.789331i | ||||
\(67\) | 3554.82 | + | 2052.38i | 0.791897 | + | 0.457202i | 0.840630 | − | 0.541610i | \(-0.182185\pi\) |
−0.0487331 | + | 0.998812i | \(0.515518\pi\) | |||||||
\(68\) | −690.091 | + | 1837.49i | −0.149241 | + | 0.397380i | ||||
\(69\) | −4212.79 | − | 2545.87i | −0.884854 | − | 0.534733i | ||||
\(70\) | −672.427 | − | 970.824i | −0.137230 | − | 0.198127i | ||||
\(71\) | − | 5031.65i | − | 0.998145i | −0.866560 | − | 0.499072i | \(-0.833674\pi\) | ||
0.866560 | − | 0.499072i | \(-0.166326\pi\) | |||||||
\(72\) | 1063.02 | + | 5073.84i | 0.205058 | + | 0.978750i | ||||
\(73\) | 2705.16 | 0.507631 | 0.253815 | − | 0.967253i | \(-0.418314\pi\) | ||||
0.253815 | + | 0.967253i | \(0.418314\pi\) | |||||||
\(74\) | −7527.78 | + | 5214.01i | −1.37469 | + | 0.952157i | ||||
\(75\) | −2575.34 | − | 4673.95i | −0.457838 | − | 0.830925i | ||||
\(76\) | −8891.60 | − | 3339.35i | −1.53940 | − | 0.578143i | ||||
\(77\) | 2781.03 | − | 4816.88i | 0.469055 | − | 0.812427i | ||||
\(78\) | −273.215 | − | 4388.44i | −0.0449071 | − | 0.721308i | ||||
\(79\) | −1196.02 | + | 690.524i | −0.191639 | + | 0.110643i | −0.592750 | − | 0.805387i | \(-0.701958\pi\) |
0.401110 | + | 0.916030i | \(0.368624\pi\) | |||||||
\(80\) | 1371.84 | − | 467.852i | 0.214350 | − | 0.0731019i | ||||
\(81\) | 6540.04 | + | 524.053i | 0.996805 | + | 0.0798740i | ||||
\(82\) | 941.652 | + | 11434.4i | 0.140043 | + | 1.70053i | ||||
\(83\) | 2605.31 | − | 1504.18i | 0.378184 | − | 0.218345i | −0.298844 | − | 0.954302i | \(-0.596601\pi\) |
0.677028 | + | 0.735957i | \(0.263268\pi\) | |||||||
\(84\) | 1080.12 | + | 7430.88i | 0.153079 | + | 1.05313i | ||||
\(85\) | 347.282 | − | 601.509i | 0.0480667 | − | 0.0832539i | ||||
\(86\) | 3835.74 | − | 8117.45i | 0.518624 | − | 1.09755i | ||||
\(87\) | 3196.09 | + | 5800.55i | 0.422261 | + | 0.766356i | ||||
\(88\) | 4752.65 | + | 4900.33i | 0.613721 | + | 0.632790i | ||||
\(89\) | 3186.35 | 0.402267 | 0.201133 | − | 0.979564i | \(-0.435538\pi\) | ||||
0.201133 | + | 0.979564i | \(0.435538\pi\) | |||||||
\(90\) | −77.3677 | − | 1832.80i | −0.00955157 | − | 0.226271i | ||||
\(91\) | − | 6368.92i | − | 0.769100i | ||||||
\(92\) | 6760.48 | − | 5556.22i | 0.798734 | − | 0.656454i | ||||
\(93\) | −4513.23 | − | 2727.43i | −0.521821 | − | 0.315346i | ||||
\(94\) | 1802.68 | − | 3814.95i | 0.204015 | − | 0.431751i | ||||
\(95\) | 2910.71 | + | 1680.50i | 0.322516 | + | 0.186205i | ||||
\(96\) | −9134.91 | − | 1219.85i | −0.991201 | − | 0.132362i | ||||
\(97\) | 2407.03 | + | 4169.10i | 0.255822 | + | 0.443097i | 0.965118 | − | 0.261814i | \(-0.0843206\pi\) |
−0.709296 | + | 0.704910i | \(0.750987\pi\) | |||||||
\(98\) | 104.455 | + | 1268.38i | 0.0108762 | + | 0.132068i | ||||
\(99\) | 7648.94 | − | 4017.38i | 0.780425 | − | 0.409895i | ||||
\(100\) | 9359.28 | − | 1552.05i | 0.935928 | − | 0.155205i | ||||
\(101\) | 3510.47 | + | 6080.30i | 0.344130 | + | 0.596050i | 0.985195 | − | 0.171436i | \(-0.0548407\pi\) |
−0.641066 | + | 0.767486i | \(0.721507\pi\) | |||||||
\(102\) | −3680.03 | + | 2441.54i | −0.353713 | + | 0.234673i | ||||
\(103\) | −1858.85 | − | 1073.21i | −0.175214 | − | 0.101160i | 0.409828 | − | 0.912163i | \(-0.365589\pi\) |
−0.585042 | + | 0.811003i | \(0.698922\pi\) | |||||||
\(104\) | 7518.59 | + | 2138.39i | 0.695136 | + | 0.197706i | ||||
\(105\) | 53.1124 | − | 2656.62i | 0.00481745 | − | 0.240963i | ||||
\(106\) | 15627.8 | − | 10824.4i | 1.39087 | − | 0.963366i | ||||
\(107\) | 13846.7i | 1.20943i | 0.796443 | + | 0.604713i | \(0.206712\pi\) | ||||
−0.796443 | + | 0.604713i | \(0.793288\pi\) | |||||||
\(108\) | −4747.95 | + | 10653.9i | −0.407060 | + | 0.913401i | ||||
\(109\) | −19384.9 | −1.63159 | −0.815793 | − | 0.578344i | \(-0.803699\pi\) | ||||
−0.815793 | + | 0.578344i | \(0.803699\pi\) | |||||||
\(110\) | −1375.45 | − | 1985.82i | −0.113674 | − | 0.164117i | ||||
\(111\) | −20599.5 | − | 411.834i | −1.67190 | − | 0.0334254i | ||||
\(112\) | −13096.5 | − | 2585.71i | −1.04404 | − | 0.206132i | ||||
\(113\) | −6817.20 | + | 11807.7i | −0.533887 | + | 0.924719i | 0.465329 | + | 0.885138i | \(0.345936\pi\) |
−0.999216 | + | 0.0395818i | \(0.987397\pi\) | |||||||
\(114\) | −11814.6 | − | 17807.7i | −0.909095 | − | 1.37024i | ||||
\(115\) | −2681.71 | + | 1548.29i | −0.202776 | + | 0.117073i | ||||
\(116\) | −11615.2 | + | 1926.16i | −0.863201 | + | 0.143145i | ||||
\(117\) | 5285.04 | − | 8363.13i | 0.386079 | − | 0.610938i | ||||
\(118\) | 8581.54 | − | 706.715i | 0.616313 | − | 0.0507551i | ||||
\(119\) | −5539.93 | + | 3198.48i | −0.391211 | + | 0.225866i | ||||
\(120\) | 3118.35 | + | 954.670i | 0.216552 | + | 0.0662966i | ||||
\(121\) | −1631.91 | + | 2826.55i | −0.111462 | + | 0.193057i | ||||
\(122\) | −239.894 | − | 113.357i | −0.0161176 | − | 0.00761603i | ||||
\(123\) | −13351.5 | + | 22093.5i | −0.882509 | + | 1.46034i | ||||
\(124\) | 7242.61 | − | 5952.47i | 0.471034 | − | 0.387128i | ||||
\(125\) | −6895.78 | −0.441330 | ||||||||
\(126\) | −7822.98 | + | 14974.9i | −0.492755 | + | 0.943243i | ||||
\(127\) | − | 15689.6i | − | 0.972754i | −0.873749 | − | 0.486377i | \(-0.838318\pi\) | ||
0.873749 | − | 0.486377i | \(-0.161682\pi\) | |||||||
\(128\) | 7449.66 | − | 14592.4i | 0.454691 | − | 0.890649i | ||||
\(129\) | 17692.7 | − | 9748.64i | 1.06320 | − | 0.585820i | ||||
\(130\) | −2500.92 | − | 1181.76i | −0.147983 | − | 0.0699266i | ||||
\(131\) | 7250.25 | + | 4185.93i | 0.422484 | + | 0.243921i | 0.696140 | − | 0.717907i | \(-0.254899\pi\) |
−0.273656 | + | 0.961828i | \(0.588233\pi\) | |||||||
\(132\) | 2209.39 | + | 15199.9i | 0.126802 | + | 0.872352i | ||||
\(133\) | −15477.5 | − | 26807.7i | −0.874977 | − | 1.51550i | ||||
\(134\) | −16363.6 | + | 1347.59i | −0.911319 | + | 0.0750497i | ||||
\(135\) | 2274.25 | − | 3444.38i | 0.124788 | − | 0.188992i | ||||
\(136\) | −1915.80 | − | 7613.87i | −0.103579 | − | 0.411650i | ||||
\(137\) | 14965.1 | + | 25920.4i | 0.797333 | + | 1.38102i | 0.921347 | + | 0.388741i | \(0.127090\pi\) |
−0.124014 | + | 0.992280i | \(0.539577\pi\) | |||||||
\(138\) | 19651.2 | − | 1223.44i | 1.03188 | − | 0.0642428i | ||||
\(139\) | 20651.8 | + | 11923.3i | 1.06888 | + | 0.617118i | 0.927875 | − | 0.372891i | \(-0.121633\pi\) |
0.141005 | + | 0.990009i | \(0.454967\pi\) | |||||||
\(140\) | 4422.24 | + | 1660.83i | 0.225624 | + | 0.0847361i | ||||
\(141\) | 8315.02 | − | 4581.56i | 0.418239 | − | 0.230449i | ||||
\(142\) | 11459.9 | + | 16545.4i | 0.568336 | + | 0.820541i | ||||
\(143\) | − | 13027.6i | − | 0.637078i | ||||||
\(144\) | −15051.5 | − | 14263.0i | −0.725864 | − | 0.687839i | ||||
\(145\) | 4166.34 | 0.198161 | ||||||||
\(146\) | −8895.30 | + | 6161.20i | −0.417306 | + | 0.289041i | ||||
\(147\) | −1481.04 | + | 2450.76i | −0.0685381 | + | 0.113414i | ||||
\(148\) | 12878.1 | − | 34290.1i | 0.587933 | − | 1.56547i | ||||
\(149\) | −2636.98 | + | 4567.39i | −0.118778 | + | 0.205729i | −0.919284 | − | 0.393596i | \(-0.871231\pi\) |
0.800506 | + | 0.599325i | \(0.204564\pi\) | |||||||
\(150\) | 19113.6 | + | 9503.68i | 0.849495 | + | 0.422386i | ||||
\(151\) | −28946.1 | + | 16712.0i | −1.26951 | + | 0.732951i | −0.974895 | − | 0.222665i | \(-0.928524\pi\) |
−0.294614 | + | 0.955616i | \(0.595191\pi\) | |||||||
\(152\) | 36843.5 | − | 9270.55i | 1.59468 | − | 0.401253i | ||||
\(153\) | −9928.73 | − | 397.158i | −0.424142 | − | 0.0169661i | ||||
\(154\) | 1826.02 | + | 22173.2i | 0.0769954 | + | 0.934945i | ||||
\(155\) | −2872.96 | + | 1658.71i | −0.119582 | + | 0.0690408i | ||||
\(156\) | 10893.4 | + | 13808.1i | 0.447624 | + | 0.567393i | ||||
\(157\) | −8500.73 | + | 14723.7i | −0.344871 | + | 0.597334i | −0.985330 | − | 0.170658i | \(-0.945411\pi\) |
0.640459 | + | 0.767992i | \(0.278744\pi\) | |||||||
\(158\) | 2360.12 | − | 4994.65i | 0.0945410 | − | 0.200074i | ||||
\(159\) | 42764.9 | + | 854.976i | 1.69158 | + | 0.0338189i | ||||
\(160\) | −3445.41 | + | 4662.88i | −0.134586 | + | 0.182144i | ||||
\(161\) | 28519.6 | 1.10025 | ||||||||
\(162\) | −22698.9 | + | 13172.2i | −0.864919 | + | 0.501911i | ||||
\(163\) | − | 30843.8i | − | 1.16089i | −0.814298 | − | 0.580447i | \(-0.802878\pi\) | ||
0.814298 | − | 0.580447i | \(-0.197122\pi\) | |||||||
\(164\) | −29138.9 | − | 35454.5i | −1.08339 | − | 1.31821i | ||||
\(165\) | 108.641 | − | 5434.12i | 0.00399050 | − | 0.199600i | ||||
\(166\) | −5141.09 | + | 10879.9i | −0.186569 | + | 0.394829i | ||||
\(167\) | −13682.1 | − | 7899.35i | −0.490591 | − | 0.283243i | 0.234229 | − | 0.972181i | \(-0.424743\pi\) |
−0.724819 | + | 0.688939i | \(0.758077\pi\) | |||||||
\(168\) | −20476.1 | − | 21974.6i | −0.725485 | − | 0.778580i | ||||
\(169\) | 6821.76 | + | 11815.6i | 0.238849 | + | 0.413698i | ||||
\(170\) | 228.025 | + | 2768.88i | 0.00789015 | + | 0.0958090i | ||||
\(171\) | 1921.85 | − | 48045.1i | 0.0657245 | − | 1.64307i | ||||
\(172\) | 5875.12 | + | 35428.5i | 0.198591 | + | 1.19756i | ||||
\(173\) | −23531.4 | − | 40757.6i | −0.786241 | − | 1.36181i | −0.928255 | − | 0.371944i | \(-0.878691\pi\) |
0.142015 | − | 0.989865i | \(-0.454642\pi\) | |||||||
\(174\) | −23720.7 | − | 11794.4i | −0.783483 | − | 0.389564i | ||||
\(175\) | 26777.0 | + | 15459.7i | 0.874352 | + | 0.504807i | ||||
\(176\) | −26788.8 | − | 5289.07i | −0.864825 | − | 0.170747i | ||||
\(177\) | 16581.3 | + | 10020.4i | 0.529262 | + | 0.319843i | ||||
\(178\) | −10477.6 | + | 7257.14i | −0.330690 | + | 0.229047i | ||||
\(179\) | − | 2545.69i | − | 0.0794511i | −0.999211 | − | 0.0397256i | \(-0.987352\pi\) | ||
0.999211 | − | 0.0397256i | \(-0.0126484\pi\) | |||||||
\(180\) | 4428.73 | + | 5850.51i | 0.136689 | + | 0.180571i | ||||
\(181\) | 5676.58 | 0.173272 | 0.0866362 | − | 0.996240i | \(-0.472388\pi\) | ||||
0.0866362 | + | 0.996240i | \(0.472388\pi\) | |||||||
\(182\) | 14505.6 | + | 20942.7i | 0.437920 | + | 0.632251i | ||||
\(183\) | −288.100 | − | 522.869i | −0.00860282 | − | 0.0156132i | ||||
\(184\) | −9575.56 | + | 33667.8i | −0.282832 | + | 0.994441i | ||||
\(185\) | −6480.77 | + | 11225.0i | −0.189358 | + | 0.327977i | ||||
\(186\) | 21052.6 | − | 1310.69i | 0.608527 | − | 0.0378856i | ||||
\(187\) | −11331.9 | + | 6542.49i | −0.324056 | + | 0.187094i | ||||
\(188\) | 2761.12 | + | 16650.3i | 0.0781214 | + | 0.471092i | ||||
\(189\) | −34001.2 | + | 16999.8i | −0.951855 | + | 0.475906i | ||||
\(190\) | −13398.6 | + | 1103.41i | −0.371153 | + | 0.0305655i | ||||
\(191\) | 28127.2 | − | 16239.2i | 0.771009 | − | 0.445142i | −0.0622257 | − | 0.998062i | \(-0.519820\pi\) |
0.833234 | + | 0.552920i | \(0.186487\pi\) | |||||||
\(192\) | 32816.3 | − | 16794.2i | 0.890199 | − | 0.455572i | ||||
\(193\) | −393.717 | + | 681.937i | −0.0105699 | + | 0.0183075i | −0.871262 | − | 0.490818i | \(-0.836698\pi\) |
0.860692 | + | 0.509126i | \(0.170031\pi\) | |||||||
\(194\) | −17410.3 | − | 8226.92i | −0.462598 | − | 0.218592i | ||||
\(195\) | −3003.47 | − | 5450.97i | −0.0789868 | − | 0.143352i | ||||
\(196\) | −3232.29 | − | 3932.86i | −0.0841393 | − | 0.102376i | ||||
\(197\) | 24825.9 | 0.639694 | 0.319847 | − | 0.947469i | \(-0.396368\pi\) | ||||
0.319847 | + | 0.947469i | \(0.396368\pi\) | |||||||
\(198\) | −16001.9 | + | 30631.2i | −0.408170 | + | 0.781328i | ||||
\(199\) | 12008.5i | 0.303237i | 0.988439 | + | 0.151619i | \(0.0484485\pi\) | ||||
−0.988439 | + | 0.151619i | \(0.951551\pi\) | |||||||
\(200\) | −27240.9 | + | 26420.0i | −0.681022 | + | 0.660499i | ||||
\(201\) | −31617.8 | − | 19107.2i | −0.782600 | − | 0.472939i | ||||
\(202\) | −25391.6 | − | 11998.3i | −0.622283 | − | 0.294048i | ||||
\(203\) | −33231.3 | − | 19186.1i | −0.806409 | − | 0.465580i | ||||
\(204\) | 6540.14 | − | 16409.9i | 0.157154 | − | 0.394318i | ||||
\(205\) | 8119.80 | + | 14063.9i | 0.193213 | + | 0.334656i | ||||
\(206\) | 8556.69 | − | 704.668i | 0.201638 | − | 0.0166054i | ||||
\(207\) | 37449.5 | + | 23666.1i | 0.873989 | + | 0.552313i | ||||
\(208\) | −29593.5 | + | 10092.5i | −0.684020 | + | 0.233278i | ||||
\(209\) | −31659.1 | − | 54835.2i | −0.724780 | − | 1.25536i | ||||
\(210\) | 5875.99 | + | 8856.64i | 0.133242 | + | 0.200831i | ||||
\(211\) | 25764.7 | + | 14875.2i | 0.578708 | + | 0.334117i | 0.760620 | − | 0.649198i | \(-0.224895\pi\) |
−0.181912 | + | 0.983315i | \(0.558229\pi\) | |||||||
\(212\) | −26735.1 | + | 71186.9i | −0.594854 | + | 1.58390i | ||||
\(213\) | −905.174 | + | 45275.8i | −0.0199514 | + | 0.997945i | ||||
\(214\) | −31536.9 | − | 45531.7i | −0.688638 | − | 0.994228i | ||||
\(215\) | − | 12708.1i | − | 0.274917i | ||||||
\(216\) | −8652.50 | − | 45846.7i | −0.185453 | − | 0.982653i | ||||
\(217\) | 30553.5 | 0.648846 | ||||||||
\(218\) | 63742.6 | − | 44150.4i | 1.34127 | − | 0.929012i | ||||
\(219\) | −24341.6 | − | 486.649i | −0.507529 | − | 0.0101468i | ||||
\(220\) | 9045.68 | + | 3397.22i | 0.186894 | + | 0.0701905i | ||||
\(221\) | −7491.58 | + | 12975.8i | −0.153387 | + | 0.265674i | ||||
\(222\) | 68674.5 | − | 45562.5i | 1.39344 | − | 0.924489i | ||||
\(223\) | −45854.8 | + | 26474.3i | −0.922093 | + | 0.532371i | −0.884302 | − | 0.466915i | \(-0.845365\pi\) |
−0.0377910 | + | 0.999286i | \(0.512032\pi\) | |||||||
\(224\) | 48953.8 | − | 21325.6i | 0.975642 | − | 0.425016i | ||||
\(225\) | 22332.6 | + | 42520.4i | 0.441137 | + | 0.839910i | ||||
\(226\) | −4476.18 | − | 54353.6i | −0.0876376 | − | 1.06417i | ||||
\(227\) | −32593.5 | + | 18817.9i | −0.632528 | + | 0.365190i | −0.781730 | − | 0.623616i | \(-0.785663\pi\) |
0.149203 | + | 0.988807i | \(0.452329\pi\) | |||||||
\(228\) | 79407.7 | + | 31647.7i | 1.52754 | + | 0.608797i | ||||
\(229\) | 28619.2 | − | 49569.9i | 0.545741 | − | 0.945251i | −0.452819 | − | 0.891603i | \(-0.649582\pi\) |
0.998560 | − | 0.0536486i | \(-0.0170851\pi\) | |||||||
\(230\) | 5291.85 | − | 11199.0i | 0.100035 | − | 0.211701i | ||||
\(231\) | −25890.8 | + | 42843.0i | −0.485201 | + | 0.802889i | ||||
\(232\) | 33807.0 | − | 32788.2i | 0.628102 | − | 0.609174i | ||||
\(233\) | −36468.7 | −0.671751 | −0.335876 | − | 0.941906i | \(-0.609032\pi\) | ||||
−0.335876 | + | 0.941906i | \(0.609032\pi\) | |||||||
\(234\) | 1668.98 | + | 39537.2i | 0.0304803 | + | 0.722062i | ||||
\(235\) | − | 5972.39i | − | 0.108147i | ||||||
\(236\) | −26608.8 | + | 21868.9i | −0.477750 | + | 0.392648i | ||||
\(237\) | 10886.3 | − | 5998.31i | 0.193813 | − | 0.106790i | ||||
\(238\) | 10932.0 | − | 23135.0i | 0.192995 | − | 0.408429i | ||||
\(239\) | 45342.6 | + | 26178.6i | 0.793799 | + | 0.458300i | 0.841298 | − | 0.540571i | \(-0.181792\pi\) |
−0.0474993 | + | 0.998871i | \(0.515125\pi\) | |||||||
\(240\) | −12428.3 | + | 3963.04i | −0.215769 | + | 0.0688027i | ||||
\(241\) | 6755.56 | + | 11701.0i | 0.116313 | + | 0.201460i | 0.918304 | − | 0.395877i | \(-0.129559\pi\) |
−0.801991 | + | 0.597336i | \(0.796226\pi\) | |||||||
\(242\) | −1071.51 | − | 13011.2i | −0.0182964 | − | 0.222171i | ||||
\(243\) | −58754.3 | − | 5892.07i | −0.995009 | − | 0.0997827i | ||||
\(244\) | 1047.01 | − | 173.627i | 0.0175862 | − | 0.00291633i | ||||
\(245\) | 900.705 | + | 1560.07i | 0.0150055 | + | 0.0259903i | ||||
\(246\) | −6416.18 | − | 103058.i | −0.106024 | − | 1.70299i | ||||
\(247\) | −62789.9 | − | 36251.8i | −1.02919 | − | 0.594204i | ||||
\(248\) | −10258.5 | + | 36068.9i | −0.166793 | + | 0.586447i | ||||
\(249\) | −23713.7 | + | 13066.2i | −0.382473 | + | 0.210742i | ||||
\(250\) | 22675.1 | − | 15705.6i | 0.362802 | − | 0.251290i | ||||
\(251\) | 111309.i | 1.76678i | 0.468635 | + | 0.883392i | \(0.344746\pi\) | ||||
−0.468635 | + | 0.883392i | \(0.655254\pi\) | |||||||
\(252\) | −8382.38 | − | 67058.9i | −0.131998 | − | 1.05598i | ||||
\(253\) | 58336.8 | 0.911385 | ||||||||
\(254\) | 35734.0 | + | 51591.4i | 0.553879 | + | 0.799668i | ||||
\(255\) | −3233.12 | + | 5350.03i | −0.0497212 | + | 0.0822765i | ||||
\(256\) | 8738.74 | + | 64950.8i | 0.133343 | + | 0.991070i | ||||
\(257\) | 36956.5 | − | 64010.6i | 0.559532 | − | 0.969138i | −0.438003 | − | 0.898973i | \(-0.644314\pi\) |
0.997535 | − | 0.0701645i | \(-0.0223524\pi\) | |||||||
\(258\) | −35975.1 | + | 72352.4i | −0.540458 | + | 1.08696i | ||||
\(259\) | 103383. | − | 59688.2i | 1.54117 | − | 0.889793i | ||||
\(260\) | 10915.2 | − | 1810.08i | 0.161468 | − | 0.0267763i | ||||
\(261\) | −27715.6 | − | 52769.5i | −0.406858 | − | 0.774644i | ||||
\(262\) | −33374.5 | + | 2748.48i | −0.486197 | + | 0.0400397i | ||||
\(263\) | 6380.84 | − | 3683.98i | 0.0922500 | − | 0.0532606i | −0.453165 | − | 0.891426i | \(-0.649705\pi\) |
0.545415 | + | 0.838166i | \(0.316372\pi\) | |||||||
\(264\) | −41883.8 | − | 44949.1i | −0.600950 | − | 0.644931i | ||||
\(265\) | 13454.2 | − | 23303.3i | 0.191587 | − | 0.331838i | ||||
\(266\) | 111950. | + | 52900.0i | 1.58220 | + | 0.747639i | ||||
\(267\) | −28671.5 | − | 573.213i | −0.402186 | − | 0.00804069i | ||||
\(268\) | 50738.7 | − | 41700.5i | 0.706431 | − | 0.580593i | ||||
\(269\) | −38604.8 | −0.533502 | −0.266751 | − | 0.963765i | \(-0.585950\pi\) | ||||
−0.266751 | + | 0.963765i | \(0.585950\pi\) | |||||||
\(270\) | 366.457 | + | 16505.8i | 0.00502684 | + | 0.226417i | ||||
\(271\) | 12540.3i | 0.170753i | 0.996349 | + | 0.0853767i | \(0.0272094\pi\) | ||||
−0.996349 | + | 0.0853767i | \(0.972791\pi\) | |||||||
\(272\) | 23640.8 | + | 20673.1i | 0.319539 | + | 0.279426i | ||||
\(273\) | −1145.74 | + | 57308.8i | −0.0153731 | + | 0.768946i | ||||
\(274\) | −108245. | − | 51148.9i | −1.44180 | − | 0.681295i | ||||
\(275\) | 54772.4 | + | 31622.8i | 0.724263 | + | 0.418153i | ||||
\(276\) | −61831.7 | + | 48779.8i | −0.811695 | + | 0.640357i | ||||
\(277\) | 46052.4 | + | 79765.0i | 0.600195 | + | 1.03957i | 0.992791 | + | 0.119857i | \(0.0382436\pi\) |
−0.392596 | + | 0.919711i | \(0.628423\pi\) | |||||||
\(278\) | −95064.9 | + | 7828.87i | −1.23007 | + | 0.101300i | ||||
\(279\) | 40120.3 | + | 25353.9i | 0.515414 | + | 0.325713i | ||||
\(280\) | −18324.1 | + | 4610.71i | −0.233726 | + | 0.0588101i | ||||
\(281\) | −11148.0 | − | 19308.8i | −0.141183 | − | 0.244537i | 0.786759 | − | 0.617260i | \(-0.211757\pi\) |
−0.927942 | + | 0.372723i | \(0.878424\pi\) | |||||||
\(282\) | −16907.2 | + | 34003.4i | −0.212605 | + | 0.427587i | ||||
\(283\) | −21648.6 | − | 12498.8i | −0.270307 | − | 0.156062i | 0.358720 | − | 0.933445i | \(-0.383213\pi\) |
−0.629027 | + | 0.777383i | \(0.716547\pi\) | |||||||
\(284\) | −75366.5 | − | 28304.8i | −0.934419 | − | 0.350933i | ||||
\(285\) | −25888.8 | − | 15645.1i | −0.318729 | − | 0.192614i | ||||
\(286\) | 29671.3 | + | 42838.2i | 0.362747 | + | 0.523720i | ||||
\(287\) | − | 149568.i | − | 1.81582i | ||||||
\(288\) | 81978.3 | + | 12619.7i | 0.988358 | + | 0.152148i | ||||
\(289\) | −68471.9 | −0.819816 | ||||||||
\(290\) | −13700.0 | + | 9489.12i | −0.162902 | + | 0.112831i | ||||
\(291\) | −20908.9 | − | 37947.4i | −0.246914 | − | 0.448122i | ||||
\(292\) | 15217.5 | − | 40519.3i | 0.178475 | − | 0.475222i | ||||
\(293\) | 11748.6 | − | 20349.1i | 0.136852 | − | 0.237034i | −0.789452 | − | 0.613813i | \(-0.789635\pi\) |
0.926303 | + | 0.376779i | \(0.122968\pi\) | |||||||
\(294\) | −711.727 | − | 11431.9i | −0.00823416 | − | 0.132259i | ||||
\(295\) | 10555.0 | − | 6093.95i | 0.121287 | − | 0.0700253i | ||||
\(296\) | 35751.5 | + | 142086.i | 0.408048 | + | 1.62169i | ||||
\(297\) | −69549.5 | + | 34773.1i | −0.788462 | + | 0.394213i | ||||
\(298\) | −1731.44 | − | 21024.7i | −0.0194974 | − | 0.236754i | ||||
\(299\) | 57850.1 | − | 33399.7i | 0.647085 | − | 0.373595i | ||||
\(300\) | −84495.9 | + | 12282.0i | −0.938844 | + | 0.136467i | ||||
\(301\) | −58521.0 | + | 101361.i | −0.645920 | + | 1.11877i | ||||
\(302\) | 57119.6 | − | 120880.i | 0.626283 | − | 1.32538i | ||||
\(303\) | −30494.1 | − | 55343.3i | −0.332147 | − | 0.602809i | ||||
\(304\) | −100037. | + | 114398.i | −1.08246 | + | 1.23786i | ||||
\(305\) | −375.559 | −0.00403719 | ||||||||
\(306\) | 33552.8 | − | 21307.4i | 0.358333 | − | 0.227556i | ||||
\(307\) | 32060.0i | 0.340163i | 0.985430 | + | 0.170082i | \(0.0544031\pi\) | ||||
−0.985430 | + | 0.170082i | \(0.945597\pi\) | |||||||
\(308\) | −56505.3 | − | 68752.3i | −0.595646 | − | 0.724746i | ||||
\(309\) | 16533.2 | + | 9991.34i | 0.173157 | + | 0.104642i | ||||
\(310\) | 5669.24 | − | 11997.6i | 0.0589931 | − | 0.124845i | ||||
\(311\) | −61441.4 | − | 35473.2i | −0.635244 | − | 0.366758i | 0.147536 | − | 0.989057i | \(-0.452866\pi\) |
−0.782780 | + | 0.622298i | \(0.786199\pi\) | |||||||
\(312\) | −67269.1 | − | 20594.2i | −0.691046 | − | 0.211561i | ||||
\(313\) | −59259.6 | − | 102641.i | −0.604882 | − | 1.04769i | −0.992070 | − | 0.125685i | \(-0.959887\pi\) |
0.387189 | − | 0.922001i | \(-0.373446\pi\) | |||||||
\(314\) | −5581.58 | − | 67776.4i | −0.0566106 | − | 0.687415i | ||||
\(315\) | −955.832 | + | 23895.3i | −0.00963298 | + | 0.240819i | ||||
\(316\) | 3614.95 | + | 21799.1i | 0.0362016 | + | 0.218305i | ||||
\(317\) | 67390.6 | + | 116724.i | 0.670626 | + | 1.16156i | 0.977727 | + | 0.209882i | \(0.0673080\pi\) |
−0.307100 | + | 0.951677i | \(0.599359\pi\) | |||||||
\(318\) | −142570. | + | 94588.6i | −1.40985 | + | 0.935372i | ||||
\(319\) | −67974.6 | − | 39245.2i | −0.667983 | − | 0.385660i | ||||
\(320\) | 709.388 | − | 23180.0i | 0.00692762 | − | 0.226367i | ||||
\(321\) | 2490.97 | − | 124596.i | 0.0241746 | − | 1.20918i | ||||
\(322\) | −93780.0 | + | 64955.4i | −0.904479 | + | 0.626474i | ||||
\(323\) | 72822.8i | 0.698011i | ||||||||
\(324\) | 44639.6 | − | 95011.9i | 0.425236 | − | 0.905082i | ||||
\(325\) | 72420.4 | 0.685637 | ||||||||
\(326\) | 70248.8 | + | 101422.i | 0.661003 | + | 0.954331i | ||||
\(327\) | 174429. | + | 3487.26i | 1.63126 | + | 0.0326129i | ||||
\(328\) | 176567. | + | 50217.8i | 1.64120 | + | 0.466778i | ||||
\(329\) | −27503.0 | + | 47636.7i | −0.254091 | + | 0.440098i | ||||
\(330\) | 12019.3 | + | 18116.2i | 0.110370 | + | 0.166357i | ||||
\(331\) | 133143. | − | 76870.2i | 1.21524 | − | 0.701620i | 0.251345 | − | 0.967898i | \(-0.419127\pi\) |
0.963896 | + | 0.266278i | \(0.0857939\pi\) | |||||||
\(332\) | −7874.49 | − | 47485.2i | −0.0714408 | − | 0.430806i | ||||
\(333\) | 185284. | + | 7411.54i | 1.67090 | + | 0.0668374i | ||||
\(334\) | 62981.6 | − | 5186.72i | 0.564574 | − | 0.0464943i | ||||
\(335\) | −20126.8 | + | 11620.2i | −0.179343 | + | 0.103544i | ||||
\(336\) | 117380. | + | 25622.8i | 1.03971 | + | 0.226959i | ||||
\(337\) | 11471.8 | − | 19869.8i | 0.101012 | − | 0.174958i | −0.811090 | − | 0.584922i | \(-0.801125\pi\) |
0.912102 | + | 0.409964i | \(0.134459\pi\) | |||||||
\(338\) | −49342.7 | − | 23315.9i | −0.431906 | − | 0.204089i | ||||
\(339\) | 63466.7 | − | 105022.i | 0.552264 | − | 0.913863i | ||||
\(340\) | −7056.12 | − | 8585.46i | −0.0610391 | − | 0.0742687i | ||||
\(341\) | 62497.2 | 0.537467 | ||||||||
\(342\) | 103107. | + | 162362.i | 0.881524 | + | 1.38814i | ||||
\(343\) | 108611.i | 0.923175i | ||||||||
\(344\) | −100010. | − | 103117.i | −0.845134 | − | 0.871393i | ||||
\(345\) | 24409.1 | − | 13449.4i | 0.205076 | − | 0.112996i | ||||
\(346\) | 170206. | + | 80427.3i | 1.42174 | + | 0.671817i | ||||
\(347\) | 6260.87 | + | 3614.72i | 0.0519967 | + | 0.0300203i | 0.525773 | − | 0.850625i | \(-0.323776\pi\) |
−0.473776 | + | 0.880645i | \(0.657109\pi\) | |||||||
\(348\) | 104863. | − | 15242.4i | 0.865890 | − | 0.125862i | ||||
\(349\) | −55282.6 | − | 95752.3i | −0.453877 | − | 0.786137i | 0.544746 | − | 0.838601i | \(-0.316626\pi\) |
−0.998623 | + | 0.0524636i | \(0.983293\pi\) | |||||||
\(350\) | −123260. | + | 10150.9i | −1.00621 | + | 0.0828641i | ||||
\(351\) | −49060.4 | + | 74302.3i | −0.398214 | + | 0.603098i | ||||
\(352\) | 100135. | − | 43621.5i | 0.808165 | − | 0.352059i | ||||
\(353\) | 30801.7 | + | 53350.1i | 0.247187 | + | 0.428140i | 0.962744 | − | 0.270414i | \(-0.0871605\pi\) |
−0.715557 | + | 0.698554i | \(0.753827\pi\) | |||||||
\(354\) | −77345.6 | + | 4815.37i | −0.617204 | + | 0.0384259i | ||||
\(355\) | 24671.6 | + | 14244.1i | 0.195767 | + | 0.113026i | ||||
\(356\) | 17924.4 | − | 47726.8i | 0.141431 | − | 0.376584i | ||||
\(357\) | 50424.8 | − | 27784.0i | 0.395647 | − | 0.218001i | ||||
\(358\) | 5797.99 | + | 8370.91i | 0.0452388 | + | 0.0653141i | ||||
\(359\) | − | 84462.7i | − | 0.655354i | −0.944790 | − | 0.327677i | \(-0.893734\pi\) | ||
0.944790 | − | 0.327677i | \(-0.106266\pi\) | |||||||
\(360\) | −27887.8 | − | 9151.29i | −0.215183 | − | 0.0706118i | ||||
\(361\) | −222069. | −1.70401 | ||||||||
\(362\) | −18666.1 | + | 12928.8i | −0.142441 | + | 0.0986600i | ||||
\(363\) | 15192.7 | − | 25140.3i | 0.115298 | − | 0.190791i | ||||
\(364\) | −95396.8 | − | 35827.5i | −0.719998 | − | 0.270404i | ||||
\(365\) | −7658.07 | + | 13264.2i | −0.0574823 | + | 0.0995622i | ||||
\(366\) | 2138.22 | + | 1063.17i | 0.0159621 | + | 0.00793668i | ||||
\(367\) | −161018. | + | 92963.9i | −1.19548 | + | 0.690212i | −0.959545 | − | 0.281556i | \(-0.909149\pi\) |
−0.235937 | + | 0.971768i | \(0.575816\pi\) | |||||||
\(368\) | −45193.7 | − | 132518.i | −0.333720 | − | 0.978538i | ||||
\(369\) | 124114. | − | 196399.i | 0.911522 | − | 1.44241i | ||||
\(370\) | −4255.27 | − | 51671.2i | −0.0310831 | − | 0.377438i | ||||
\(371\) | −214625. | + | 123914.i | −1.55931 | + | 0.900268i | ||||
\(372\) | −66241.3 | + | 52258.6i | −0.478678 | + | 0.377635i | ||||
\(373\) | 42545.6 | − | 73691.2i | 0.305800 | − | 0.529661i | −0.671639 | − | 0.740878i | \(-0.734409\pi\) |
0.977439 | + | 0.211217i | \(0.0677428\pi\) | |||||||
\(374\) | 22361.4 | − | 47322.7i | 0.159866 | − | 0.338319i | ||||
\(375\) | 62049.6 | + | 1240.52i | 0.441241 | + | 0.00882150i | ||||
\(376\) | −47001.5 | − | 48461.9i | −0.332457 | − | 0.342787i | ||||
\(377\) | −89876.5 | −0.632359 | ||||||||
\(378\) | 73086.7 | − | 133340.i | 0.511511 | − | 0.933205i | ||||
\(379\) | 146982.i | 1.02326i | 0.859206 | + | 0.511630i | \(0.170958\pi\) | ||||
−0.859206 | + | 0.511630i | \(0.829042\pi\) | |||||||
\(380\) | 41545.1 | − | 34144.6i | 0.287708 | − | 0.236458i | ||||
\(381\) | −2822.49 | + | 141178.i | −0.0194439 | + | 0.972560i | ||||
\(382\) | −55503.6 | + | 117460.i | −0.380360 | + | 0.804942i | ||||
\(383\) | −161253. | − | 93099.7i | −1.09929 | − | 0.634674i | −0.163254 | − | 0.986584i | \(-0.552199\pi\) |
−0.936034 | + | 0.351910i | \(0.885532\pi\) | |||||||
\(384\) | −69658.6 | + | 129965.i | −0.472403 | + | 0.881383i | ||||
\(385\) | 15745.7 | + | 27272.3i | 0.106228 | + | 0.183993i | ||||
\(386\) | −258.515 | − | 3139.11i | −0.00173504 | − | 0.0210684i | ||||
\(387\) | −160956. | + | 84537.3i | −1.07470 | + | 0.564452i | ||||
\(388\) | 75987.2 | − | 12601.0i | 0.504751 | − | 0.0837030i | ||||
\(389\) | 128002. | + | 221706.i | 0.845897 | + | 1.46514i | 0.884840 | + | 0.465894i | \(0.154267\pi\) |
−0.0389437 | + | 0.999241i | \(0.512399\pi\) | |||||||
\(390\) | 22291.2 | + | 11083.6i | 0.146556 | + | 0.0728706i | ||||
\(391\) | −58104.8 | − | 33546.8i | −0.380066 | − | 0.219431i | ||||
\(392\) | 19586.0 | + | 5570.52i | 0.127460 | + | 0.0362513i | ||||
\(393\) | −64486.2 | − | 38970.2i | −0.417524 | − | 0.252317i | ||||
\(394\) | −81634.1 | + | 56542.7i | −0.525871 | + | 0.364237i | ||||
\(395\) | − | 7819.24i | − | 0.0501153i | ||||||
\(396\) | −17146.2 | − | 137169.i | −0.109339 | − | 0.874712i | ||||
\(397\) | −260735. | −1.65432 | −0.827159 | − | 0.561968i | \(-0.810044\pi\) | ||||
−0.827159 | + | 0.561968i | \(0.810044\pi\) | |||||||
\(398\) | −27350.2 | − | 39487.1i | −0.172661 | − | 0.249281i | ||||
\(399\) | 134447. | + | 244006.i | 0.844509 | + | 1.53269i | ||||
\(400\) | 29401.9 | − | 148919.i | 0.183762 | − | 0.930743i | ||||
\(401\) | −26507.0 | + | 45911.4i | −0.164843 | + | 0.285517i | −0.936600 | − | 0.350401i | \(-0.886045\pi\) |
0.771756 | + | 0.635918i | \(0.219379\pi\) | |||||||
\(402\) | 147486. | − | 9182.15i | 0.912637 | − | 0.0568189i | ||||
\(403\) | 61975.7 | − | 35781.7i | 0.381603 | − | 0.220318i | ||||
\(404\) | 110821. | − | 18377.6i | 0.678986 | − | 0.112597i | ||||
\(405\) | −21083.8 | + | 30584.1i | −0.128540 | + | 0.186460i | ||||
\(406\) | 152971. | − | 12597.6i | 0.928019 | − | 0.0764251i | ||||
\(407\) | 211470. | − | 122092.i | 1.27661 | − | 0.737053i | ||||
\(408\) | 15869.0 | + | 68855.8i | 0.0953301 | + | 0.413638i | ||||
\(409\) | −73697.8 | + | 127648.i | −0.440563 | + | 0.763078i | −0.997731 | − | 0.0673220i | \(-0.978555\pi\) |
0.557168 | + | 0.830400i | \(0.311888\pi\) | |||||||
\(410\) | −58731.5 | − | 27752.4i | −0.349385 | − | 0.165095i | ||||
\(411\) | −129996. | − | 235929.i | −0.769569 | − | 1.39668i | ||||
\(412\) | −26531.7 | + | 21805.6i | −0.156304 | + | 0.128462i | ||||
\(413\) | −112251. | −0.658099 | ||||||||
\(414\) | −177045. | + | 7473.59i | −1.03296 | + | 0.0436042i | ||||
\(415\) | 17032.8i | 0.0988983i | ||||||||
\(416\) | 74324.7 | − | 100588.i | 0.429483 | − | 0.581246i | ||||
\(417\) | −183684. | − | 111004.i | −1.05633 | − | 0.638360i | ||||
\(418\) | 228995. | + | 108207.i | 1.31061 | + | 0.619302i | ||||
\(419\) | 201431. | + | 116296.i | 1.14736 | + | 0.662426i | 0.948242 | − | 0.317550i | \(-0.102860\pi\) |
0.199115 | + | 0.979976i | \(0.436193\pi\) | |||||||
\(420\) | −39493.4 | − | 15740.0i | −0.223886 | − | 0.0892290i | ||||
\(421\) | 34900.8 | + | 60449.9i | 0.196911 | + | 0.341060i | 0.947525 | − | 0.319680i | \(-0.103576\pi\) |
−0.750614 | + | 0.660741i | \(0.770242\pi\) | |||||||
\(422\) | −118600. | + | 9767.08i | −0.665980 | + | 0.0548454i | ||||
\(423\) | −75644.4 | + | 39729.9i | −0.422762 | + | 0.222043i | ||||
\(424\) | −74220.8 | − | 294972.i | −0.412852 | − | 1.64078i | ||||
\(425\) | −36369.7 | − | 62994.1i | −0.201355 | − | 0.348756i | ||||
\(426\) | −100142. | − | 150940.i | −0.551821 | − | 0.831737i | ||||
\(427\) | 2995.51 | + | 1729.46i | 0.0164292 | + | 0.00948539i | ||||
\(428\) | 207403. | + | 77892.8i | 1.13221 | + | 0.425216i | ||||
\(429\) | −2343.62 | + | 117225.i | −0.0127342 | + | 0.636951i | ||||
\(430\) | 28943.5 | + | 41787.5i | 0.156536 | + | 0.226000i | ||||
\(431\) | 147873.i | 0.796037i | 0.917377 | + | 0.398019i | \(0.130302\pi\) | ||||
−0.917377 | + | 0.398019i | \(0.869698\pi\) | |||||||
\(432\) | 132871. | + | 131049.i | 0.711970 | + | 0.702210i | ||||
\(433\) | 294850. | 1.57262 | 0.786312 | − | 0.617830i | \(-0.211988\pi\) | ||||
0.786312 | + | 0.617830i | \(0.211988\pi\) | |||||||
\(434\) | −100468. | + | 69587.7i | −0.533395 | + | 0.369448i | ||||
\(435\) | −37489.6 | − | 749.509i | −0.198122 | − | 0.00396094i | ||||
\(436\) | −109047. | + | 290356.i | −0.573641 | + | 1.52742i | ||||
\(437\) | 162333. | − | 281169.i | 0.850050 | − | 1.47233i | ||||
\(438\) | 81150.0 | − | 53839.5i | 0.423000 | − | 0.280642i | ||||
\(439\) | 62468.0 | − | 36065.9i | 0.324137 | − | 0.187140i | −0.329098 | − | 0.944296i | \(-0.606745\pi\) |
0.653235 | + | 0.757155i | \(0.273411\pi\) | |||||||
\(440\) | −37482.0 | + | 9431.20i | −0.193605 | + | 0.0487149i | ||||
\(441\) | 13767.6 | − | 21786.0i | 0.0707914 | − | 0.112021i | ||||
\(442\) | −4918.98 | − | 59730.5i | −0.0251785 | − | 0.305739i | ||||
\(443\) | −165331. | + | 95453.7i | −0.842453 | + | 0.486391i | −0.858097 | − | 0.513487i | \(-0.828353\pi\) |
0.0156440 | + | 0.999878i | \(0.495020\pi\) | |||||||
\(444\) | −122048. | + | 306232.i | −0.619106 | + | 1.55341i | ||||
\(445\) | −9020.28 | + | 15623.6i | −0.0455512 | + | 0.0788970i | ||||
\(446\) | 90485.7 | − | 191492.i | 0.454894 | − | 0.962677i | ||||
\(447\) | 24549.7 | − | 40623.9i | 0.122866 | − | 0.203314i | ||||
\(448\) | −112402. | + | 181620.i | −0.560041 | + | 0.904914i | ||||
\(449\) | 192859. | 0.956639 | 0.478319 | − | 0.878186i | \(-0.341246\pi\) | ||||
0.478319 | + | 0.878186i | \(0.341246\pi\) | |||||||
\(450\) | −170279. | − | 88954.5i | −0.840882 | − | 0.439281i | ||||
\(451\) | − | 305940.i | − | 1.50412i | ||||||
\(452\) | 138513. | + | 168534.i | 0.677975 | + | 0.824919i | ||||
\(453\) | 263469. | − | 145171.i | 1.28391 | − | 0.707429i | ||||
\(454\) | 64317.1 | − | 136112.i | 0.312043 | − | 0.660367i | ||||
\(455\) | 31228.6 | + | 18029.8i | 0.150844 | + | 0.0870901i | ||||
\(456\) | −333193. | + | 76790.3i | −1.60238 | + | 0.369298i | ||||
\(457\) | 2962.66 | + | 5131.48i | 0.0141857 | + | 0.0245703i | 0.873031 | − | 0.487665i | \(-0.162151\pi\) |
−0.858845 | + | 0.512235i | \(0.828818\pi\) | |||||||
\(458\) | 18791.4 | + | 228181.i | 0.0895834 | + | 1.08780i | ||||
\(459\) | 89269.3 | + | 5359.85i | 0.423718 | + | 0.0254406i | ||||
\(460\) | 8105.41 | + | 48877.7i | 0.0383053 | + | 0.230991i | ||||
\(461\) | −63341.9 | − | 109711.i | −0.298050 | − | 0.516238i | 0.677640 | − | 0.735394i | \(-0.263003\pi\) |
−0.975690 | + | 0.219156i | \(0.929670\pi\) | |||||||
\(462\) | −12442.1 | − | 199847.i | −0.0582919 | − | 0.936297i | ||||
\(463\) | −204011. | − | 117786.i | −0.951682 | − | 0.549454i | −0.0580790 | − | 0.998312i | \(-0.518498\pi\) |
−0.893603 | + | 0.448858i | \(0.851831\pi\) | |||||||
\(464\) | −36488.9 | + | 184814.i | −0.169483 | + | 0.858418i | ||||
\(465\) | 26149.9 | − | 14408.5i | 0.120938 | − | 0.0666367i | ||||
\(466\) | 119919. | − | 83060.0i | 0.552224 | − | 0.382490i | ||||
\(467\) | 97776.2i | 0.448332i | 0.974551 | + | 0.224166i | \(0.0719658\pi\) | ||||
−0.974551 | + | 0.224166i | \(0.928034\pi\) | |||||||
\(468\) | −95536.8 | − | 126208.i | −0.436193 | − | 0.576227i | ||||
\(469\) | 214045. | 0.973105 | ||||||||
\(470\) | 13602.5 | + | 19638.8i | 0.0615778 | + | 0.0889036i | ||||
\(471\) | 79140.0 | − | 130957.i | 0.356742 | − | 0.590321i | ||||
\(472\) | 37688.8 | − | 132514.i | 0.169172 | − | 0.594810i | ||||
\(473\) | −119705. | + | 207334.i | −0.535043 | + | 0.926721i | ||||
\(474\) | −22135.4 | + | 44518.3i | −0.0985213 | + | 0.198144i | ||||
\(475\) | 304829. | − | 175993.i | 1.35104 | − | 0.780024i | ||||
\(476\) | 16744.3 | + | 100972.i | 0.0739015 | + | 0.445645i | ||||
\(477\) | −384653. | − | 15386.5i | −1.69057 | − | 0.0676243i | ||||
\(478\) | −208722. | + | 17188.8i | −0.913508 | + | 0.0752300i | ||||
\(479\) | 349162. | − | 201589.i | 1.52179 | − | 0.878608i | 0.522126 | − | 0.852869i | \(-0.325139\pi\) |
0.999669 | − | 0.0257398i | \(-0.00819415\pi\) | |||||||
\(480\) | 31841.3 | − | 41337.7i | 0.138200 | − | 0.179417i | ||||
\(481\) | 139803. | − | 242147.i | 0.604266 | − | 1.04662i | ||||
\(482\) | −48863.8 | − | 23089.6i | −0.210326 | − | 0.0993855i | ||||
\(483\) | −256625. | − | 5130.57i | −1.10003 | − | 0.0219923i | ||||
\(484\) | 33157.4 | + | 40344.0i | 0.141543 | + | 0.172222i | ||||
\(485\) | −27256.3 | −0.115873 | ||||||||
\(486\) | 206619. | − | 114442.i | 0.874779 | − | 0.484523i | ||||
\(487\) | 195207.i | 0.823071i | 0.911394 | + | 0.411536i | \(0.135007\pi\) | ||||
−0.911394 | + | 0.411536i | \(0.864993\pi\) | |||||||
\(488\) | −3047.41 | + | 2955.57i | −0.0127965 | + | 0.0124109i | ||||
\(489\) | −5548.68 | + | 277538.i | −0.0232045 | + | 1.16066i | ||||
\(490\) | −6514.92 | − | 3078.49i | −0.0271342 | − | 0.0128217i | ||||
\(491\) | 65937.1 | + | 38068.8i | 0.273506 | + | 0.157909i | 0.630480 | − | 0.776206i | \(-0.282858\pi\) |
−0.356974 | + | 0.934114i | \(0.616191\pi\) | |||||||
\(492\) | 255820. | + | 324269.i | 1.05683 | + | 1.33960i | ||||
\(493\) | 45136.2 | + | 78178.1i | 0.185708 | + | 0.321656i | ||||
\(494\) | 289036. | − | 23802.9i | 1.18440 | − | 0.0975386i | ||||
\(495\) | −1955.15 | + | 48877.7i | −0.00797941 | + | 0.199481i | ||||
\(496\) | −48416.8 | − | 141968.i | −0.196803 | − | 0.577069i | ||||
\(497\) | −131189. | − | 227226.i | −0.531111 | − | 0.919912i | ||||
\(498\) | 48217.8 | − | 96974.8i | 0.194423 | − | 0.391021i | ||||
\(499\) | 12618.3 | + | 7285.17i | 0.0506757 | + | 0.0292576i | 0.525124 | − | 0.851026i | \(-0.324019\pi\) |
−0.474448 | + | 0.880283i | \(0.657352\pi\) | |||||||
\(500\) | −38791.2 | + | 103288.i | −0.155165 | + | 0.413153i | ||||
\(501\) | 121693. | + | 73541.3i | 0.484831 | + | 0.292992i | ||||
\(502\) | −253514. | − | 366014.i | −1.00599 | − | 1.45241i | ||||
\(503\) | − | 280154.i | − | 1.10729i | −0.832753 | − | 0.553645i | \(-0.813236\pi\) | ||
0.832753 | − | 0.553645i | \(-0.186764\pi\) | |||||||
\(504\) | 180295. | + | 201416.i | 0.709777 | + | 0.792926i | ||||
\(505\) | −39751.2 | −0.155872 | ||||||||
\(506\) | −191827. | + | 132866.i | −0.749219 | + | 0.518935i | ||||
\(507\) | −59258.0 | − | 107547.i | −0.230532 | − | 0.418390i | ||||
\(508\) | −235006. | − | 88259.4i | −0.910650 | − | 0.342006i | ||||
\(509\) | −101505. | + | 175811.i | −0.391787 | + | 0.678595i | −0.992685 | − | 0.120731i | \(-0.961476\pi\) |
0.600899 | + | 0.799325i | \(0.294810\pi\) | |||||||
\(510\) | −1553.71 | − | 24956.0i | −0.00597349 | − | 0.0959476i | ||||
\(511\) | 122164. | − | 70531.3i | 0.467843 | − | 0.270110i | ||||
\(512\) | −176665. | − | 193672.i | −0.673924 | − | 0.738801i | ||||
\(513\) | −25936.3 | + | 431974.i | −0.0985539 | + | 1.64143i | ||||
\(514\) | 24265.7 | + | 294655.i | 0.0918472 | + | 1.11529i | ||||
\(515\) | 10524.5 | − | 6076.30i | 0.0396813 | − | 0.0229100i | ||||
\(516\) | −46492.1 | − | 319850.i | −0.174614 | − | 1.20129i | ||||
\(517\) | −56257.4 | + | 97440.7i | −0.210474 | + | 0.364552i | ||||
\(518\) | −204007. | + | 431732.i | −0.760300 | + | 1.60900i | ||||
\(519\) | 204408. | + | 370978.i | 0.758863 | + | 1.37725i | ||||
\(520\) | −31769.6 | + | 30812.2i | −0.117491 | + | 0.113950i | ||||
\(521\) | −30822.1 | −0.113550 | −0.0567749 | − | 0.998387i | \(-0.518082\pi\) | ||||
−0.0567749 | + | 0.998387i | \(0.518082\pi\) | |||||||
\(522\) | 211322. | + | 110396.i | 0.775540 | + | 0.405146i | ||||
\(523\) | 94412.3i | 0.345164i | 0.984995 | + | 0.172582i | \(0.0552109\pi\) | ||||
−0.984995 | + | 0.172582i | \(0.944789\pi\) | |||||||
\(524\) | 103484. | − | 85050.4i | 0.376887 | − | 0.309752i | ||||
\(525\) | −238164. | − | 143927.i | −0.864087 | − | 0.522183i | ||||
\(526\) | −12591.4 | + | 26646.7i | −0.0455095 | + | 0.0963101i | ||||
\(527\) | −62248.6 | − | 35939.3i | −0.224134 | − | 0.129404i | ||||
\(528\) | 240100. | + | 52411.4i | 0.861239 | + | 0.188000i | ||||
\(529\) | 9641.45 | + | 16699.5i | 0.0344533 | + | 0.0596749i | ||||
\(530\) | 8834.03 | + | 107270.i | 0.0314490 | + | 0.381881i | ||||
\(531\) | −147399. | − | 93148.0i | −0.522763 | − | 0.330358i | ||||
\(532\) | −488606. | + | 81025.8i | −1.72638 | + | 0.286286i | ||||
\(533\) | −175161. | − | 303387.i | −0.616570 | − | 1.06793i | ||||
\(534\) | 95584.9 | − | 63416.3i | 0.335202 | − | 0.222392i | ||||
\(535\) | −67894.3 | − | 39198.8i | −0.237206 | − | 0.136951i | ||||
\(536\) | −71866.5 | + | 252683.i | −0.250148 | + | 0.879523i | ||||
\(537\) | −457.961 | + | 22906.7i | −0.00158811 | + | 0.0794352i | ||||
\(538\) | 126943. | − | 87925.0i | 0.438574 | − | 0.303772i | ||||
\(539\) | − | 33937.0i | − | 0.116814i | ||||||
\(540\) | −38798.1 | − | 53440.8i | −0.133052 | − | 0.183267i | ||||
\(541\) | 166561. | 0.569087 | 0.284544 | − | 0.958663i | \(-0.408158\pi\) | ||||
0.284544 | + | 0.958663i | \(0.408158\pi\) | |||||||
\(542\) | −28561.4 | − | 41235.8i | −0.0972257 | − | 0.140371i | ||||
\(543\) | −51079.0 | − | 1021.20i | −0.173238 | − | 0.00346345i | ||||
\(544\) | −124821. | − | 14135.0i | −0.421785 | − | 0.0477637i | ||||
\(545\) | 54876.8 | − | 95049.4i | 0.184755 | − | 0.320005i | ||||
\(546\) | −126757. | − | 191056.i | −0.425194 | − | 0.640878i | ||||
\(547\) | −256245. | + | 147943.i | −0.856410 | + | 0.494448i | −0.862808 | − | 0.505531i | \(-0.831297\pi\) |
0.00639865 | + | 0.999980i | \(0.497963\pi\) | |||||||
\(548\) | 472433. | − | 78343.7i | 1.57318 | − | 0.260881i | ||||
\(549\) | 2498.32 | + | 4756.71i | 0.00828902 | + | 0.0157820i | ||||
\(550\) | −252129. | + | 20763.6i | −0.833485 | + | 0.0686399i | ||||
\(551\) | −378304. | + | 218414.i | −1.24606 | + | 0.719411i | ||||
\(552\) | 92219.6 | − | 301227.i | 0.302653 | − | 0.988589i | ||||
\(553\) | −36007.8 | + | 62367.3i | −0.117746 | + | 0.203942i | ||||
\(554\) | −333103. | − | 157401.i | −1.08532 | − | 0.512847i | ||||
\(555\) | 60334.6 | − | 99839.1i | 0.195876 | − | 0.324127i | ||||
\(556\) | 294768. | − | 242260.i | 0.953521 | − | 0.783669i | ||||
\(557\) | −30600.2 | −0.0986312 | −0.0493156 | − | 0.998783i | \(-0.515704\pi\) | ||||
−0.0493156 | + | 0.998783i | \(0.515704\pi\) | |||||||
\(558\) | −189671. | + | 8006.58i | −0.609163 | + | 0.0257145i | ||||
\(559\) | 274139.i | 0.877298i | ||||||||
\(560\) | 49753.4 | − | 56895.7i | 0.158652 | − | 0.181428i | ||||
\(561\) | 103144. | − | 56832.1i | 0.327731 | − | 0.180579i | ||||
\(562\) | 80634.7 | + | 38102.3i | 0.255299 | + | 0.120637i | ||||
\(563\) | −210267. | − | 121398.i | −0.663369 | − | 0.382996i | 0.130191 | − | 0.991489i | \(-0.458441\pi\) |
−0.793559 | + | 0.608493i | \(0.791774\pi\) | |||||||
\(564\) | −21849.8 | − | 150319.i | −0.0686894 | − | 0.472560i | ||||
\(565\) | −38597.8 | − | 66853.3i | −0.120911 | − | 0.209424i | ||||
\(566\) | 99653.3 | − | 8206.73i | 0.311070 | − | 0.0256175i | ||||
\(567\) | 309008. | − | 146851.i | 0.961178 | − | 0.456785i | ||||
\(568\) | 312291. | − | 78578.6i | 0.967973 | − | 0.243561i | ||||
\(569\) | −148459. | − | 257138.i | −0.458545 | − | 0.794223i | 0.540339 | − | 0.841447i | \(-0.318296\pi\) |
−0.998884 | + | 0.0472242i | \(0.984962\pi\) | |||||||
\(570\) | 120762. | − | 7518.39i | 0.371690 | − | 0.0231406i | ||||
\(571\) | 228446. | + | 131893.i | 0.700665 | + | 0.404529i | 0.807595 | − | 0.589737i | \(-0.200769\pi\) |
−0.106930 | + | 0.994267i | \(0.534102\pi\) | |||||||
\(572\) | −195134. | − | 73285.1i | −0.596405 | − | 0.223987i | ||||
\(573\) | −256015. | + | 141064.i | −0.779752 | + | 0.429642i | ||||
\(574\) | 340650. | + | 491818.i | 1.03392 | + | 1.49273i | ||||
\(575\) | 324294.i | 0.980852i | ||||||||
\(576\) | −298309. | + | 145214.i | −0.899127 | + | 0.437688i | ||||
\(577\) | 350367. | 1.05238 | 0.526188 | − | 0.850368i | \(-0.323621\pi\) | ||||
0.526188 | + | 0.850368i | \(0.323621\pi\) | |||||||
\(578\) | 225154. | − | 155949.i | 0.673943 | − | 0.466797i | ||||
\(579\) | 3665.42 | − | 6065.38i | 0.0109337 | − | 0.0180926i | ||||
\(580\) | 23437.2 | − | 62405.5i | 0.0696705 | − | 0.185510i | ||||
\(581\) | 78436.3 | − | 135856.i | 0.232362 | − | 0.402463i | ||||
\(582\) | 155182. | + | 77159.5i | 0.458137 | + | 0.227795i | ||||
\(583\) | −439015. | + | 253466.i | −1.29164 | + | 0.745730i | ||||
\(584\) | 42246.2 | + | 167897.i | 0.123869 | + | 0.492286i | ||||
\(585\) | 26045.3 | + | 49589.3i | 0.0761057 | + | 0.144903i | ||||
\(586\) | 7714.12 | + | 93671.5i | 0.0224642 | + | 0.272780i | ||||
\(587\) | −5965.76 | + | 3444.33i | −0.0173137 | + | 0.00999606i | −0.508632 | − | 0.860984i | \(-0.669849\pi\) |
0.491318 | + | 0.870980i | \(0.336515\pi\) | |||||||
\(588\) | 28377.3 | + | 35970.2i | 0.0820761 | + | 0.104037i | ||||
\(589\) | 173910. | − | 301221.i | 0.501296 | − | 0.868270i | ||||
\(590\) | −20828.3 | + | 44078.3i | −0.0598344 | + | 0.126625i | ||||
\(591\) | −223388. | − | 4466.08i | −0.639566 | − | 0.0127865i | ||||
\(592\) | −441170. | − | 385788.i | −1.25882 | − | 1.10079i | ||||
\(593\) | 544416. | 1.54818 | 0.774090 | − | 0.633076i | \(-0.218208\pi\) | ||||
0.774090 | + | 0.633076i | \(0.218208\pi\) | |||||||
\(594\) | 149499. | − | 272747.i | 0.423706 | − | 0.773013i | ||||
\(595\) | − | 36218.4i | − | 0.102305i | ||||||
\(596\) | 53578.6 | + | 65191.2i | 0.150834 | + | 0.183526i | ||||
\(597\) | 2160.28 | − | 108055.i | 0.00606125 | − | 0.303177i | ||||
\(598\) | −114156. | + | 241585.i | −0.319225 | + | 0.675565i | ||||
\(599\) | −122771. | − | 70881.9i | −0.342170 | − | 0.197552i | 0.319061 | − | 0.947734i | \(-0.396633\pi\) |
−0.661231 | + | 0.750182i | \(0.729966\pi\) | |||||||
\(600\) | 249872. | − | 232832.i | 0.694089 | − | 0.646755i | ||||
\(601\) | 265380. | + | 459652.i | 0.734715 | + | 1.27256i | 0.954848 | + | 0.297094i | \(0.0960176\pi\) |
−0.220133 | + | 0.975470i | \(0.570649\pi\) | |||||||
\(602\) | −38424.9 | − | 466588.i | −0.106028 | − | 1.28748i | ||||
\(603\) | 281066. | + | 177619.i | 0.772990 | + | 0.488488i | ||||
\(604\) | 87488.8 | + | 527580.i | 0.239816 | + | 1.44615i | ||||
\(605\) | −9239.58 | − | 16003.4i | −0.0252430 | − | 0.0437222i | ||||
\(606\) | 226321. | + | 112531.i | 0.616281 | + | 0.306427i | ||||
\(607\) | 35215.7 | + | 20331.8i | 0.0955782 | + | 0.0551821i | 0.547027 | − | 0.837115i | \(-0.315759\pi\) |
−0.451449 | + | 0.892297i | \(0.649093\pi\) | |||||||
\(608\) | 68399.3 | − | 604011.i | 0.185031 | − | 1.63395i | ||||
\(609\) | 295570. | + | 178619.i | 0.796942 | + | 0.481606i | ||||
\(610\) | 1234.94 | − | 855.362i | 0.00331883 | − | 0.00229874i | ||||
\(611\) | 128837.i | 0.345110i | ||||||||
\(612\) | −61801.5 | + | 146483.i | −0.165005 | + | 0.391098i | ||||
\(613\) | −498556. | −1.32676 | −0.663382 | − | 0.748281i | \(-0.730879\pi\) | ||||
−0.663382 | + | 0.748281i | \(0.730879\pi\) | |||||||
\(614\) | −73018.9 | − | 105422.i | −0.193686 | − | 0.279636i | ||||
\(615\) | −70533.5 | − | 128011.i | −0.186486 | − | 0.338451i | ||||
\(616\) | 342393. | + | 97381.0i | 0.902325 | + | 0.256633i | ||||
\(617\) | 45030.4 | − | 77995.0i | 0.118287 | − | 0.204879i | −0.800802 | − | 0.598929i | \(-0.795593\pi\) |
0.919089 | + | 0.394050i | \(0.128926\pi\) | |||||||
\(618\) | −77121.6 | + | 4801.43i | −0.201929 | + | 0.0125717i | ||||
\(619\) | −149379. | + | 86244.1i | −0.389860 | + | 0.225086i | −0.682099 | − | 0.731259i | \(-0.738933\pi\) |
0.292240 | + | 0.956345i | \(0.405600\pi\) | |||||||
\(620\) | 8683.45 | + | 52363.5i | 0.0225896 | + | 0.136221i | ||||
\(621\) | −332721. | − | 219689.i | −0.862774 | − | 0.569673i | ||||
\(622\) | 282828. | − | 23291.7i | 0.731042 | − | 0.0602034i | ||||
\(623\) | 143894. | − | 83077.2i | 0.370738 | − | 0.214045i | ||||
\(624\) | 268103. | − | 85490.9i | 0.688546 | − | 0.219559i | ||||
\(625\) | −165774. | + | 287128.i | −0.424380 | + | 0.735049i | ||||
\(626\) | 428633. | + | 202542.i | 1.09380 | + | 0.516852i | ||||
\(627\) | 275011. | + | 499114.i | 0.699543 | + | 1.26959i | ||||
\(628\) | 172719. | + | 210154.i | 0.437946 | + | 0.532867i | ||||
\(629\) | −280838. | −0.709831 | ||||||||
\(630\) | −51280.1 | − | 80750.9i | −0.129201 | − | 0.203454i | ||||
\(631\) | − | 210621.i | − | 0.528985i | −0.964388 | − | 0.264492i | \(-0.914796\pi\) | ||
0.964388 | − | 0.264492i | \(-0.0852044\pi\) | |||||||
\(632\) | −61535.7 | − | 63447.8i | −0.154061 | − | 0.158848i | ||||
\(633\) | −229160. | − | 138485.i | −0.571914 | − | 0.345618i | ||||
\(634\) | −487445. | − | 230332.i | −1.21268 | − | 0.573029i | ||||
\(635\) | 76930.2 | + | 44415.7i | 0.190787 | + | 0.110151i | ||||
\(636\) | 253374. | − | 635744.i | 0.626395 | − | 1.57169i | ||||
\(637\) | −19430.1 | − | 33653.9i | −0.0478846 | − | 0.0829385i | ||||
\(638\) | 312902. | − | 25768.4i | 0.768718 | − | 0.0633061i | ||||
\(639\) | 16289.9 | − | 407238.i | 0.0398948 | − | 0.997347i | ||||
\(640\) | 50461.3 | + | 77837.5i | 0.123196 | + | 0.190033i | ||||
\(641\) | 232262. | + | 402289.i | 0.565278 | + | 0.979089i | 0.997024 | + | 0.0770943i | \(0.0245642\pi\) |
−0.431746 | + | 0.901995i | \(0.642102\pi\) | |||||||
\(642\) | 275584. | + | 415377.i | 0.668627 | + | 1.00779i | ||||
\(643\) | 361978. | + | 208988.i | 0.875509 | + | 0.505476i | 0.869175 | − | 0.494504i | \(-0.164650\pi\) |
0.00633423 | + | 0.999980i | \(0.497984\pi\) | |||||||
\(644\) | 160433. | − | 427181.i | 0.386832 | − | 1.03001i | ||||
\(645\) | −2286.13 | + | 114350.i | −0.00549518 | + | 0.274863i | ||||
\(646\) | −165859. | − | 239461.i | −0.397442 | − | 0.573811i | ||||
\(647\) | − | 825841.i | − | 1.97282i | −0.164299 | − | 0.986411i | \(-0.552536\pi\) | ||
0.164299 | − | 0.986411i | \(-0.447464\pi\) | |||||||
\(648\) | 69609.3 | + | 414094.i | 0.165774 | + | 0.986164i | ||||
\(649\) | −229610. | −0.545131 | ||||||||
\(650\) | −238138. | + | 164943.i | −0.563639 | + | 0.390397i | ||||
\(651\) | −274927. | − | 5496.46i | −0.648717 | − | 0.0129694i | ||||
\(652\) | −461993. | − | 173507.i | −1.08678 | − | 0.408153i | ||||
\(653\) | −164273. | + | 284529.i | −0.385247 | + | 0.667267i | −0.991803 | − | 0.127773i | \(-0.959217\pi\) |
0.606557 | + | 0.795040i | \(0.292550\pi\) | |||||||
\(654\) | −581511. | + | 385807.i | −1.35957 | + | 0.902016i | ||||
\(655\) | −41049.6 | + | 23700.0i | −0.0956811 | + | 0.0552415i | ||||
\(656\) | −694972. | + | 237013.i | −1.61495 | + | 0.550762i | ||||
\(657\) | 218943. | + | 8757.93i | 0.507225 | + | 0.0202895i | ||||
\(658\) | −18058.5 | − | 219282.i | −0.0417090 | − | 0.506467i | ||||
\(659\) | 144939. | − | 83680.3i | 0.333744 | − | 0.192687i | −0.323758 | − | 0.946140i | \(-0.604946\pi\) |
0.657502 | + | 0.753453i | \(0.271613\pi\) | |||||||
\(660\) | −80783.7 | − | 32196.2i | −0.185454 | − | 0.0739122i | ||||
\(661\) | 152616. | − | 264339.i | 0.349300 | − | 0.605005i | −0.636826 | − | 0.771008i | \(-0.719753\pi\) |
0.986125 | + | 0.166003i | \(0.0530862\pi\) | |||||||
\(662\) | −262732. | + | 556012.i | −0.599512 | + | 1.26873i | ||||
\(663\) | 69745.1 | − | 115411.i | 0.158667 | − | 0.262555i | ||||
\(664\) | 134044. | + | 138209.i | 0.304027 | + | 0.313473i | ||||
\(665\) | 175261. | 0.396317 | ||||||||
\(666\) | −626143. | + | 397626.i | −1.41164 | + | 0.896451i | ||||
\(667\) | − | 402461.i | − | 0.904633i | ||||||
\(668\) | −195287. | + | 160500.i | −0.437644 | + | 0.359685i | ||||
\(669\) | 417373. | − | 229972.i | 0.932550 | − | 0.513833i | ||||
\(670\) | 39716.3 | − | 84050.4i | 0.0884748 | − | 0.187236i | ||||
\(671\) | 6127.32 | + | 3537.61i | 0.0136090 | + | 0.00785715i | ||||
\(672\) | −444332. | + | 183085.i | −0.983942 | + | 0.405429i | ||||
\(673\) | −403032. | − | 698073.i | −0.889836 | − | 1.54124i | −0.840069 | − | 0.542480i | \(-0.817485\pi\) |
−0.0497671 | − | 0.998761i | \(-0.515848\pi\) | |||||||
\(674\) | 7532.41 | + | 91465.0i | 0.0165811 | + | 0.201342i | ||||
\(675\) | −193304. | − | 386625.i | −0.424261 | − | 0.848560i | ||||
\(676\) | 215355. | − | 35712.5i | 0.471262 | − | 0.0781496i | ||||
\(677\) | 183117. | + | 317169.i | 0.399533 | + | 0.692011i | 0.993668 | − | 0.112354i | \(-0.0358390\pi\) |
−0.594136 | + | 0.804365i | \(0.702506\pi\) | |||||||
\(678\) | 30499.5 | + | 489890.i | 0.0663489 | + | 1.06571i | ||||
\(679\) | 217400. | + | 125516.i | 0.471542 | + | 0.272245i | ||||
\(680\) | 42756.4 | + | 12160.5i | 0.0924662 | + | 0.0262986i | ||||
\(681\) | 296668. | − | 163464.i | 0.639701 | − | 0.352474i | ||||
\(682\) | −205507. | + | 142342.i | −0.441833 | + | 0.306029i | ||||
\(683\) | 398332.i | 0.853894i | 0.904277 | + | 0.426947i | \(0.140411\pi\) | ||||
−0.904277 | + | 0.426947i | \(0.859589\pi\) | |||||||
\(684\) | −708833. | − | 299058.i | −1.51507 | − | 0.639209i | ||||
\(685\) | −169460. | −0.361148 | ||||||||
\(686\) | −247368. | − | 357140.i | −0.525649 | − | 0.758911i | ||||
\(687\) | −266439. | + | 440892.i | −0.564526 | + | 0.934154i | ||||
\(688\) | 563715. | + | 111298.i | 1.19092 | + | 0.235130i | ||||
\(689\) | −290235. | + | 502701.i | −0.611379 | + | 1.05894i | ||||
\(690\) | −49631.8 | + | 99818.5i | −0.104246 | + | 0.209659i | ||||
\(691\) | 304679. | − | 175906.i | 0.638096 | − | 0.368405i | −0.145785 | − | 0.989316i | \(-0.546571\pi\) |
0.783881 | + | 0.620912i | \(0.213237\pi\) | |||||||
\(692\) | −742860. | + | 123189.i | −1.55130 | + | 0.257252i | ||||
\(693\) | 240678. | − | 380852.i | 0.501152 | − | 0.793030i | ||||
\(694\) | −28820.2 | + | 2373.42i | −0.0598381 | + | 0.00492784i | ||||
\(695\) | −116927. | + | 67507.8i | −0.242072 | + | 0.139760i | ||||
\(696\) | −310101. | + | 288953.i | −0.640153 | + | 0.596498i | ||||
\(697\) | −175932. | + | 304723.i | −0.362143 | + | 0.627249i | ||||
\(698\) | 399866. | + | 188949.i | 0.820737 | + | 0.387823i | ||||
\(699\) | 328153. | + | 6560.58i | 0.671617 | + | 0.0134273i | ||||
\(700\) | 382194. | − | 314113.i | 0.779987 | − | 0.641047i | ||||
\(701\) | −620142. | −1.26199 | −0.630994 | − | 0.775788i | \(-0.717353\pi\) | ||||
−0.630994 | + | 0.775788i | \(0.717353\pi\) | |||||||
\(702\) | −7905.23 | − | 356064.i | −0.0160413 | − | 0.722527i | ||||
\(703\) | − | 1.35898e6i | − | 2.74980i | ||||||
\(704\) | −229919. | + | 371503.i | −0.463906 | + | 0.749579i | ||||
\(705\) | −1074.41 | + | 53740.8i | −0.00216168 | + | 0.108125i | ||||
\(706\) | −222793. | − | 105276.i | −0.446984 | − | 0.211213i | ||||
\(707\) | 317061. | + | 183055.i | 0.634314 | + | 0.366222i | ||||
\(708\) | 243365. | − | 191994.i | 0.485503 | − | 0.383020i | ||||
\(709\) | −157448. | − | 272708.i | −0.313217 | − | 0.542508i | 0.665840 | − | 0.746095i | \(-0.268073\pi\) |
−0.979057 | + | 0.203587i | \(0.934740\pi\) | |||||||
\(710\) | −113569. | + | 9352.70i | −0.225290 | + | 0.0185533i | ||||
\(711\) | −99035.9 | + | 52015.6i | −0.195909 | + | 0.102895i | ||||
\(712\) | 49760.9 | + | 197762.i | 0.0981585 | + | 0.390107i | ||||
\(713\) | 160228. | + | 277523.i | 0.315181 | + | 0.545909i | ||||
\(714\) | −102530. | + | 206207.i | −0.201120 | + | 0.404489i | ||||
\(715\) | 63878.0 | + | 36880.0i | 0.124951 | + | 0.0721404i | ||||
\(716\) | −38130.7 | − | 14320.4i | −0.0743786 | − | 0.0279338i | ||||
\(717\) | −403292. | − | 243717.i | −0.784480 | − | 0.474075i | ||||
\(718\) | 192370. | + | 277736.i | 0.373154 | + | 0.538745i | ||||
\(719\) | 361941.i | 0.700132i | 0.936725 | + | 0.350066i | \(0.113841\pi\) | ||||
−0.936725 | + | 0.350066i | \(0.886159\pi\) | |||||||
\(720\) | 112545. | − | 33424.4i | 0.217101 | − | 0.0644761i | ||||
\(721\) | −111926. | −0.215308 | ||||||||
\(722\) | 730221. | − | 505777.i | 1.40081 | − | 0.970252i | ||||
\(723\) | −58682.9 | − | 106503.i | −0.112263 | − | 0.203744i | ||||
\(724\) | 31932.8 | − | 85026.6i | 0.0609200 | − | 0.162210i | ||||
\(725\) | 218164. | − | 377870.i | 0.415056 | − | 0.718897i | ||||
\(726\) | 7301.02 | + | 117271.i | 0.0138519 | + | 0.222493i | ||||
\(727\) | −267542. | + | 154465.i | −0.506200 | + | 0.292255i | −0.731270 | − | 0.682088i | \(-0.761072\pi\) |
0.225070 | + | 0.974343i | \(0.427739\pi\) | |||||||
\(728\) | 395289. | − | 99462.6i | 0.745852 | − | 0.187671i | ||||
\(729\) | 527623. | + | 63587.7i | 0.992816 | + | 0.119651i | ||||
\(730\) | −5028.29 | − | 61057.9i | −0.00943572 | − | 0.114577i | ||||
\(731\) | 238457. | − | 137673.i | 0.446247 | − | 0.257641i | ||||
\(732\) | −9452.46 | + | 1373.97i | −0.0176410 | + | 0.00256422i | ||||
\(733\) | −441272. | + | 764305.i | −0.821293 | + | 1.42252i | 0.0834259 | + | 0.996514i | \(0.473414\pi\) |
−0.904719 | + | 0.426008i | \(0.859920\pi\) | |||||||
\(734\) | 317739. | − | 672420.i | 0.589764 | − | 1.24810i | ||||
\(735\) | −7824.08 | − | 14199.8i | −0.0144830 | − | 0.0262850i | ||||
\(736\) | 450427. | + | 332821.i | 0.831512 | + | 0.614406i | ||||
\(737\) | 437829. | 0.806065 | ||||||||
\(738\) | 39194.3 | + | 928491.i | 0.0719632 | + | 1.70477i | ||||
\(739\) | − | 396910.i | − | 0.726781i | −0.931637 | − | 0.363390i | \(-0.881619\pi\) | ||
0.931637 | − | 0.363390i | \(-0.118381\pi\) | |||||||
\(740\) | 131677. | + | 160217.i | 0.240462 | + | 0.292580i | ||||
\(741\) | 558475. | + | 337496.i | 1.01711 | + | 0.614657i | ||||
\(742\) | 423522. | − | 896284.i | 0.769250 | − | 1.62794i | ||||
\(743\) | 831366. | + | 479989.i | 1.50596 | + | 0.869469i | 0.999976 | + | 0.00692819i | \(0.00220533\pi\) |
0.505988 | + | 0.862541i | \(0.331128\pi\) | |||||||
\(744\) | 98796.3 | − | 322709.i | 0.178482 | − | 0.582996i | ||||
\(745\) | −14930.1 | − | 25859.7i | −0.0268999 | − | 0.0465920i | ||||
\(746\) | 27935.5 | + | 339217.i | 0.0501971 | + | 0.609536i | ||||
\(747\) | 215731. | − | 113306.i | 0.386609 | − | 0.203055i | ||||
\(748\) | 34250.5 | + | 206539.i | 0.0612158 | + | 0.369147i | ||||
\(749\) | 361023. | + | 625310.i | 0.643534 | + | 1.11463i | ||||
\(750\) | −206861. | + | 137243.i | −0.367753 | + | 0.243988i | ||||
\(751\) | 572212. | + | 330367.i | 1.01456 | + | 0.585756i | 0.912523 | − | 0.409025i | \(-0.134131\pi\) |
0.102036 | + | 0.994781i | \(0.467464\pi\) | |||||||
\(752\) | 264929. | + | 52306.4i | 0.468482 | + | 0.0924952i | ||||
\(753\) | 20024.1 | − | 1.00158e6i | 0.0353153 | − | 1.76643i | ||||
\(754\) | 295538. | − | 204700.i | 0.519841 | − | 0.360060i | ||||
\(755\) | − | 189241.i | − | 0.331987i | ||||||
\(756\) | 63362.7 | + | 604917.i | 0.110864 | + | 1.05841i | ||||
\(757\) | 326842. | 0.570356 | 0.285178 | − | 0.958475i | \(-0.407947\pi\) | ||||
0.285178 | + | 0.958475i | \(0.407947\pi\) | |||||||
\(758\) | −334762. | − | 483316.i | −0.582636 | − | 0.841187i | ||||
\(759\) | −524927. | − | 10494.6i | −0.911203 | − | 0.0182172i | ||||
\(760\) | −58844.6 | + | 206898.i | −0.101878 | + | 0.358203i | ||||
\(761\) | −164813. | + | 285464.i | −0.284591 | + | 0.492927i | −0.972510 | − | 0.232861i | \(-0.925191\pi\) |
0.687919 | + | 0.725788i | \(0.258525\pi\) | |||||||
\(762\) | −312261. | − | 470658.i | −0.537784 | − | 0.810580i | ||||
\(763\) | −875410. | + | 505418.i | −1.50370 | + | 0.868164i | ||||
\(764\) | −85013.7 | − | 512654.i | −0.145647 | − | 0.878290i | ||||
\(765\) | 30054.7 | − | 47559.0i | 0.0513558 | − | 0.0812662i | ||||
\(766\) | 742285. | − | 61129.3i | 1.26507 | − | 0.104182i | ||||
\(767\) | −227694. | + | 131459.i | −0.387044 | + | 0.223460i | ||||
\(768\) | −66948.6 | − | 586012.i | −0.113506 | − | 0.993537i | ||||
\(769\) | 299738. | − | 519162.i | 0.506862 | − | 0.877910i | −0.493107 | − | 0.869969i | \(-0.664139\pi\) |
0.999968 | − | 0.00794129i | \(-0.00252782\pi\) | |||||||
\(770\) | −113890. | − | 53816.7i | −0.192091 | − | 0.0907686i | ||||
\(771\) | −344058. | + | 569332.i | −0.578792 | + | 0.957760i | ||||
\(772\) | 7999.60 | + | 9733.43i | 0.0134225 | + | 0.0163317i | ||||
\(773\) | −58555.0 | −0.0979952 | −0.0489976 | − | 0.998799i | \(-0.515603\pi\) | ||||
−0.0489976 | + | 0.998799i | \(0.515603\pi\) | |||||||
\(774\) | 336727. | − | 644570.i | 0.562077 | − | 1.07594i | ||||
\(775\) | 347422.i | 0.578433i | ||||||||
\(776\) | −221166. | + | 214501.i | −0.367279 | + | 0.356211i | ||||
\(777\) | −940999. | + | 518488.i | −1.55864 | + | 0.858810i | ||||
\(778\) | −925854. | − | 437494.i | −1.52962 | − | 0.722792i | ||||
\(779\) | −1.47456e6 | − | 851336.i | −2.42989 | − | 1.40290i | ||||
\(780\) | −98543.0 | + | 14323.8i | −0.161971 | + | 0.0235434i | ||||
\(781\) | −268347. | − | 464791.i | −0.439942 | − | 0.762002i | ||||
\(782\) | 267469. | − | 22026.9i | 0.437381 | − | 0.0360196i | ||||
\(783\) | 239897. | + | 479817.i | 0.391293 | + | 0.782621i | ||||
\(784\) | −77091.2 | + | 26291.1i | −0.125422 | + | 0.0427737i | ||||
\(785\) | −48129.6 | − | 83362.8i | −0.0781039 | − | 0.135280i | ||||
\(786\) | 300805. | − | 18727.5i | 0.486900 | − | 0.0303134i | ||||
\(787\) | −553254. | − | 319421.i | −0.893254 | − | 0.515720i | −0.0182482 | − | 0.999833i | \(-0.505809\pi\) |
−0.875005 | + | 0.484113i | \(0.839142\pi\) | |||||||
\(788\) | 139655. | − | 371855.i | 0.224907 | − | 0.598854i | ||||
\(789\) | −58078.8 | + | 32001.3i | −0.0932962 | + | 0.0514060i | ||||
\(790\) | 17808.9 | + | 25711.7i | 0.0285353 | + | 0.0411981i | ||||
\(791\) | 710975.i | 1.13632i | ||||||||
\(792\) | 368793. | + | 411996.i | 0.587938 | + | 0.656814i | ||||
\(793\) | 8101.59 | 0.0128832 | ||||||||
\(794\) | 857367. | − | 593843.i | 1.35996 | − | 0.941955i | ||||
\(795\) | −125256. | + | 207268.i | −0.198182 | + | 0.327942i | ||||
\(796\) | 179869. | + | 67552.1i | 0.283877 | + | 0.106614i | ||||
\(797\) | 587628. | − | 1.01780e6i | 0.925095 | − | 1.60231i | 0.133686 | − | 0.991024i | \(-0.457319\pi\) |
0.791409 | − | 0.611287i | \(-0.209348\pi\) | |||||||
\(798\) | −997836. | − | 496144.i | −1.56694 | − | 0.779116i | ||||
\(799\) | 112067. | − | 64702.1i | 0.175544 | − | 0.101350i | ||||
\(800\) | 242492. | + | 556649.i | 0.378893 | + | 0.869765i | ||||
\(801\) | 257888. | + | 10315.8i | 0.401945 | + | 0.0160782i | ||||
\(802\) | −17404.5 | − | 211340.i | −0.0270591 | − | 0.328574i | ||||
\(803\) | 249886. | − | 144272.i | 0.387535 | − | 0.223743i | ||||
\(804\) | −464059. | + | 366102.i | −0.717895 | + | 0.566357i | ||||
\(805\) | −80736.4 | + | 139840.i | −0.124588 | + | 0.215793i | ||||
\(806\) | −122297. | + | 258814.i | −0.188255 | + | 0.398398i | ||||
\(807\) | 347373. | + | 6944.85i | 0.533396 | + | 0.0106639i | ||||
\(808\) | −322554. | + | 312834.i | −0.494060 | + | 0.479171i | ||||
\(809\) | −215543. | −0.329334 | −0.164667 | − | 0.986349i | \(-0.552655\pi\) | ||||
−0.164667 | + | 0.986349i | \(0.552655\pi\) | |||||||
\(810\) | −328.123 | − | 148588.i | −0.000500111 | − | 0.226472i | ||||
\(811\) | 1.05773e6i | 1.60817i | 0.594512 | + | 0.804087i | \(0.297345\pi\) | ||||
−0.594512 | + | 0.804087i | \(0.702655\pi\) | |||||||
\(812\) | −474317. | + | 389826.i | −0.719377 | + | 0.591233i | ||||
\(813\) | 2255.95 | − | 112840.i | 0.00341310 | − | 0.170719i | ||||
\(814\) | −417295. | + | 883108.i | −0.629788 | + | 1.33280i | ||||
\(815\) | 151236. | + | 87315.9i | 0.227687 | + | 0.131455i | ||||
\(816\) | −209005. | − | 190273.i | −0.313890 | − | 0.285757i | ||||
\(817\) | 666201. | + | 1.15389e6i | 0.998070 | + | 1.72871i | ||||
\(818\) | −48390.0 | − | 587594.i | −0.0723185 | − | 0.878153i | ||||
\(819\) | 20619.3 | − | 515470.i | 0.0307401 | − | 0.768486i | ||||
\(820\) | 256333. | − | 42507.8i | 0.381221 | − | 0.0632180i | ||||
\(821\) | 37925.7 | + | 65689.3i | 0.0562662 | + | 0.0974559i | 0.892787 | − | 0.450480i | \(-0.148747\pi\) |
−0.836520 | + | 0.547936i | \(0.815414\pi\) | |||||||
\(822\) | 964807. | + | 479721.i | 1.42790 | + | 0.709979i | ||||
\(823\) | 569508. | + | 328806.i | 0.840815 | + | 0.485445i | 0.857541 | − | 0.514416i | \(-0.171991\pi\) |
−0.0167265 | + | 0.999860i | \(0.505324\pi\) | |||||||
\(824\) | 37579.6 | − | 132130.i | 0.0553475 | − | 0.194602i | ||||
\(825\) | −487164. | − | 294402.i | −0.715760 | − | 0.432547i | ||||
\(826\) | 369112. | − | 255660.i | 0.541000 | − | 0.374716i | ||||
\(827\) | − | 669017.i | − | 0.978196i | −0.872229 | − | 0.489098i | \(-0.837326\pi\) | ||
0.872229 | − | 0.489098i | \(-0.162674\pi\) | |||||||
\(828\) | 565150. | − | 427808.i | 0.824333 | − | 0.624005i | ||||
\(829\) | −637042. | −0.926955 | −0.463478 | − | 0.886109i | \(-0.653399\pi\) | ||||
−0.463478 | + | 0.886109i | \(0.653399\pi\) | |||||||
\(830\) | −38793.3 | − | 56008.2i | −0.0563119 | − | 0.0813010i | ||||
\(831\) | −400039. | − | 726026.i | −0.579296 | − | 1.05136i | ||||
\(832\) | −15303.0 | + | 500039.i | −0.0221070 | + | 0.722367i | ||||
\(833\) | −19515.6 | + | 33802.1i | −0.0281250 | + | 0.0487139i | ||||
\(834\) | 856821. | − | 53343.9i | 1.23185 | − | 0.0766925i | ||||
\(835\) | 77465.4 | − | 44724.7i | 0.111105 | − | 0.0641467i | ||||
\(836\) | −999443. | + | 165738.i | −1.43003 | + | 0.237143i | ||||
\(837\) | −356450. | − | 235357.i | −0.508800 | − | 0.335951i | ||||
\(838\) | −927231. | + | 76360.1i | −1.32038 | + | 0.108737i | ||||
\(839\) | −872716. | + | 503863.i | −1.23979 | + | 0.715795i | −0.969052 | − | 0.246858i | \(-0.920602\pi\) |
−0.270741 | + | 0.962652i | \(0.587269\pi\) | |||||||
\(840\) | 165714. | − | 38191.7i | 0.234855 | − | 0.0541265i | ||||
\(841\) | 82891.1 | − | 143572.i | 0.117197 | − | 0.202991i | ||||
\(842\) | −252442. | − | 119286.i | −0.356071 | − | 0.168254i | ||||
\(843\) | 96838.1 | + | 175750.i | 0.136267 | + | 0.247310i | ||||
\(844\) | 367744. | − | 302237.i | 0.516251 | − | 0.424290i | ||||
\(845\) | −77247.2 | −0.108186 | ||||||||
\(846\) | 158251. | − | 302928.i | 0.221109 | − | 0.423251i | ||||
\(847\) | 170194.i | 0.237234i | ||||||||
\(848\) | 915877. | + | 800904.i | 1.27364 | + | 1.11375i | ||||
\(849\) | 192550. | + | 116361.i | 0.267133 | + | 0.161434i | ||||
\(850\) | 263067. | + | 124307.i | 0.364106 | + | 0.172051i | ||||
\(851\) | 1.08432e6 | + | 626031.i | 1.49726 | + | 0.864444i | ||||
\(852\) | 673071. | + | 268251.i | 0.927218 | + | 0.369540i | ||||
\(853\) | 96790.1 | + | 167645.i | 0.133025 | + | 0.230406i | 0.924841 | − | 0.380353i | \(-0.124198\pi\) |
−0.791816 | + | 0.610759i | \(0.790864\pi\) | |||||||
\(854\) | −13789.0 | + | 1135.56i | −0.0189068 | + | 0.00155703i | ||||
\(855\) | 230138. | + | 145435.i | 0.314816 | + | 0.198946i | ||||
\(856\) | −859402. | + | 216242.i | −1.17287 | + | 0.295116i | ||||
\(857\) | −461864. | − | 799972.i | −0.628858 | − | 1.08921i | −0.987781 | − | 0.155847i | \(-0.950189\pi\) |
0.358923 | − | 0.933367i | \(-0.383144\pi\) | |||||||
\(858\) | −259282. | − | 390805.i | −0.352207 | − | 0.530867i | ||||
\(859\) | −628431. | − | 362825.i | −0.851670 | − | 0.491712i | 0.00954418 | − | 0.999954i | \(-0.496962\pi\) |
−0.861214 | + | 0.508243i | \(0.830295\pi\) | |||||||
\(860\) | −190348. | − | 71487.4i | −0.257366 | − | 0.0966569i | ||||
\(861\) | −26906.6 | + | 1.34584e6i | −0.0362955 | + | 1.81546i | ||||
\(862\) | −336790. | − | 486244.i | −0.453257 | − | 0.654395i | ||||
\(863\) | − | 444700.i | − | 0.597097i | −0.954394 | − | 0.298549i | \(-0.903497\pi\) | ||
0.954394 | − | 0.298549i | \(-0.0965025\pi\) | |||||||
\(864\) | −735387. | − | 128303.i | −0.985119 | − | 0.171873i | ||||
\(865\) | 266461. | 0.356124 | ||||||||
\(866\) | −969543. | + | 671540.i | −1.29280 | + | 0.895439i | ||||
\(867\) | 616124. | + | 12317.8i | 0.819652 | + | 0.0163869i | ||||
\(868\) | 171875. | − | 457646.i | 0.228125 | − | 0.607421i | ||||
\(869\) | −73653.9 | + | 127572.i | −0.0975341 | + | 0.168934i | ||||
\(870\) | 124983. | − | 82920.5i | 0.165124 | − | 0.109553i | ||||
\(871\) | 434176. | − | 250672.i | 0.572308 | − | 0.330422i | ||||
\(872\) | −302731. | − | 1.20313e6i | −0.398129 | − | 1.58227i | ||||
\(873\) | 181316. | + | 345220.i | 0.237907 | + | 0.452968i | ||||
\(874\) | 106588. | + | 1.29428e6i | 0.139536 | + | 1.69436i | ||||
\(875\) | −311409. | + | 179792.i | −0.406739 | + | 0.234831i | ||||
\(876\) | −144220. | + | 361863.i | −0.187939 | + | 0.471559i | ||||
\(877\) | 288301. | − | 499353.i | 0.374841 | − | 0.649244i | −0.615462 | − | 0.788167i | \(-0.711031\pi\) |
0.990303 | + | 0.138922i | \(0.0443638\pi\) | |||||||
\(878\) | −123269. | + | 260869.i | −0.159906 | + | 0.338403i | ||||
\(879\) | −109377. | + | 180992.i | −0.141562 | + | 0.234251i | ||||
\(880\) | 101770. | − | 116380.i | 0.131419 | − | 0.150284i | ||||
\(881\) | −1.16458e6 | −1.50044 | −0.750219 | − | 0.661190i | \(-0.770052\pi\) | ||||
−0.750219 | + | 0.661190i | \(0.770052\pi\) | |||||||
\(882\) | 4347.71 | + | 102995.i | 0.00558886 | + | 0.132397i | ||||
\(883\) | 12142.2i | 0.0155731i | 0.999970 | + | 0.00778655i | \(0.00247856\pi\) | ||||
−0.999970 | + | 0.00778655i | \(0.997521\pi\) | |||||||
\(884\) | 152215. | + | 185206.i | 0.194784 | + | 0.237001i | ||||
\(885\) | −96072.6 | + | 52935.8i | −0.122663 | + | 0.0675869i | ||||
\(886\) | 326248. | − | 690429.i | 0.415605 | − | 0.879532i | ||||
\(887\) | −1.12130e6 | − | 647385.i | −1.42520 | − | 0.822840i | −0.428464 | − | 0.903559i | \(-0.640945\pi\) |
−0.996737 | + | 0.0807193i | \(0.974278\pi\) | |||||||
\(888\) | −296139. | − | 1.28495e6i | −0.375551 | − | 1.62952i | ||||
\(889\) | −409071. | − | 708532.i | −0.517601 | − | 0.896511i | ||||
\(890\) | −5922.72 | − | 71918.8i | −0.00747723 | − | 0.0907951i | ||||
\(891\) | 632076. | − | 300384.i | 0.796184 | − | 0.378374i | ||||
\(892\) | 138595. | + | 835763.i | 0.174188 | + | 1.05040i | ||||
\(893\) | 313094. | + | 542294.i | 0.392619 | + | 0.680036i | ||||
\(894\) | 11797.6 | + | 189496.i | 0.0147611 | + | 0.237096i | ||||
\(895\) | 12482.2 | + | 7206.63i | 0.0155828 | + | 0.00899676i | ||||
\(896\) | −44042.5 | − | 853218.i | −0.0548600 | − | 1.06278i | ||||
\(897\) | −526555. | + | 290131.i | −0.654423 | + | 0.360586i | ||||
\(898\) | −634173. | + | 439250.i | −0.786420 | + | 0.544703i | ||||
\(899\) | − | 431164.i | − | 0.533485i | ||||||
\(900\) | 762521. | − | 95315.4i | 0.941384 | − | 0.117673i | ||||
\(901\) | 583026. | 0.718188 | ||||||||
\(902\) | 696800. | + | 1.00601e6i | 0.856436 | + | 1.23649i | ||||
\(903\) | 544818. | − | 901541.i | 0.668153 | − | 1.10563i | ||||
\(904\) | −839316. | − | 238712.i | −1.02704 | − | 0.292104i | ||||
\(905\) | −16069.9 | + | 27833.8i | −0.0196207 | + | 0.0339841i | ||||
\(906\) | −535719. | + | 1.07743e6i | −0.652651 | + | 1.31260i | ||||
\(907\) | −593065. | + | 342406.i | −0.720921 | + | 0.416224i | −0.815091 | − | 0.579332i | \(-0.803313\pi\) |
0.0941708 | + | 0.995556i | \(0.469980\pi\) | |||||||
\(908\) | 98513.1 | + | 594059.i | 0.119487 | + | 0.720540i | ||||
\(909\) | 264436. | + | 503476.i | 0.320031 | + | 0.609328i | ||||
\(910\) | −143752. | + | 11838.4i | −0.173593 | + | 0.0142958i | ||||
\(911\) | 621519. | − | 358834.i | 0.748890 | − | 0.432372i | −0.0764028 | − | 0.997077i | \(-0.524343\pi\) |
0.825293 | + | 0.564705i | \(0.191010\pi\) | |||||||
\(912\) | 920732. | − | 1.01138e6i | 1.10699 | − | 1.21597i | ||||
\(913\) | 160441. | − | 277893.i | 0.192475 | − | 0.333377i | ||||
\(914\) | −21429.3 | − | 10126.0i | −0.0256517 | − | 0.0121212i | ||||
\(915\) | 3379.36 | + | 67.5617i | 0.00403638 | + | 8.06972e-5i | ||||
\(916\) | −581489. | − | 707521.i | −0.693028 | − | 0.843235i | ||||
\(917\) | 436556. | 0.519160 | ||||||||
\(918\) | −305748. | + | 185692.i | −0.362810 | + | 0.220348i | ||||
\(919\) | 441444.i | 0.522691i | 0.965245 | + | 0.261345i | \(0.0841661\pi\) | ||||
−0.965245 | + | 0.261345i | \(0.915834\pi\) | |||||||
\(920\) | −137975. | − | 142262.i | −0.163014 | − | 0.168079i | ||||
\(921\) | 5767.48 | − | 288483.i | 0.00679934 | − | 0.340095i | ||||
\(922\) | 458160. | + | 216495.i | 0.538959 | + | 0.254674i | ||||
\(923\) | −532217. | − | 307275.i | −0.624720 | − | 0.360682i | ||||
\(924\) | 496078. | + | 628812.i | 0.581040 | + | 0.736507i | ||||
\(925\) | 678710. | + | 1.17556e6i | 0.793232 | + | 1.37392i | ||||
\(926\) | 939108. | − | 77338.2i | 1.09520 | − | 0.0901929i | ||||
\(927\) | −146972. | − | 92878.3i | −0.171031 | − | 0.108082i | ||||
\(928\) | −300941. | − | 690823.i | −0.349451 | − | 0.802179i | ||||
\(929\) | −633285. | − | 1.09688e6i | −0.733783 | − | 1.27095i | −0.955255 | − | 0.295783i | \(-0.904420\pi\) |
0.221472 | − | 0.975167i | \(-0.428914\pi\) | |||||||
\(930\) | −53171.3 | + | 106937.i | −0.0614768 | + | 0.123641i | ||||
\(931\) | −163568. | − | 94436.2i | −0.188712 | − | 0.108953i | ||||
\(932\) | −205150. | + | 546246.i | −0.236178 | + | 0.628864i | ||||
\(933\) | 546481. | + | 330248.i | 0.627786 | + | 0.379382i | ||||
\(934\) | −222692. | − | 321514.i | −0.255277 | − | 0.368558i | ||||
\(935\) | − | 74084.8i | − | 0.0847434i | ||||||
\(936\) | 601597. | + | 197412.i | 0.686679 | + | 0.225332i | ||||
\(937\) | 377258. | 0.429694 | 0.214847 | − | 0.976648i | \(-0.431075\pi\) | ||||
0.214847 | + | 0.976648i | \(0.431075\pi\) | |||||||
\(938\) | −703837. | + | 487503.i | −0.799957 | + | 0.554079i | ||||
\(939\) | 514766. | + | 934242.i | 0.583819 | + | 1.05957i | ||||
\(940\) | −89457.5 | − | 33596.9i | −0.101242 | − | 0.0380227i | ||||
\(941\) | 645770. | − | 1.11851e6i | 0.729288 | − | 1.26316i | −0.227897 | − | 0.973685i | \(-0.573185\pi\) |
0.957185 | − | 0.289478i | \(-0.0934817\pi\) | |||||||
\(942\) | 38031.5 | + | 610869.i | 0.0428589 | + | 0.688409i | ||||
\(943\) | 1.35855e6 | − | 784359.i | 1.52775 | − | 0.882046i | ||||
\(944\) | 177879. | + | 521580.i | 0.199610 | + | 0.585298i | ||||
\(945\) | 12899.4 | − | 214842.i | 0.0144447 | − | 0.240578i | ||||
\(946\) | −78598.0 | − | 954405.i | −0.0878273 | − | 1.06647i | ||||
\(947\) | 1.02088e6 | − | 589403.i | 1.13834 | − | 0.657222i | 0.192322 | − | 0.981332i | \(-0.438398\pi\) |
0.946019 | + | 0.324110i | \(0.105065\pi\) | |||||||
\(948\) | −28606.5 | − | 196803.i | −0.0318308 | − | 0.218985i | ||||
\(949\) | 165200. | − | 286136.i | 0.183434 | − | 0.317716i | ||||
\(950\) | −601521. | + | 1.27298e6i | −0.666506 | + | 1.41050i | ||||
\(951\) | −585396. | − | 1.06243e6i | −0.647275 | − | 1.17473i | ||||
\(952\) | −285031. | − | 293888.i | −0.314499 | − | 0.324271i | ||||
\(953\) | 613396. | 0.675391 | 0.337695 | − | 0.941255i | \(-0.390353\pi\) | ||||
0.337695 | + | 0.941255i | \(0.390353\pi\) | |||||||
\(954\) | 1.29989e6 | − | 825480.i | 1.42826 | − | 0.907005i | ||||
\(955\) | 183887.i | 0.201625i | ||||||||
\(956\) | 647184. | − | 531900.i | 0.708128 | − | 0.581988i | ||||
\(957\) | 604589. | + | 365364.i | 0.660141 | + | 0.398935i | ||||
\(958\) | −689005. | + | 1.45812e6i | −0.750743 | + | 1.58877i | ||||
\(959\) | 1.35163e6 | + | 780367.i | 1.46968 | + | 0.848519i | ||||
\(960\) | −10553.2 | + | 208450.i | −0.0114510 | + | 0.226183i | ||||
\(961\) | −290105. | − | 502477.i | −0.314130 | − | 0.544089i | ||||
\(962\) | 91795.0 | + | 1.11465e6i | 0.0991903 | + | 1.20445i | ||||
\(963\) | −44828.6 | + | 1.12069e6i | −0.0483395 | + | 1.20846i | ||||
\(964\) | 213265. | − | 35365.9i | 0.229491 | − | 0.0380567i | ||||
\(965\) | −2229.15 | − | 3861.01i | −0.00239379 | − | 0.00414616i | ||||
\(966\) | 855537. | − | 567611.i | 0.916821 | − | 0.608270i | ||||
\(967\) | −41063.4 | − | 23708.0i | −0.0439139 | − | 0.0253537i | 0.477882 | − | 0.878424i | \(-0.341405\pi\) |
−0.521796 | + | 0.853070i | \(0.674738\pi\) | |||||||
\(968\) | −200916. | − | 57143.3i | −0.214420 | − | 0.0609838i | ||||
\(969\) | 13100.6 | − | 655275.i | 0.0139522 | − | 0.697872i | ||||
\(970\) | 89626.0 | − | 62078.1i | 0.0952556 | − | 0.0659774i | ||||
\(971\) | − | 746340.i | − | 0.791586i | −0.918340 | − | 0.395793i | \(-0.870470\pi\) | ||
0.918340 | − | 0.395793i | \(-0.129530\pi\) | |||||||
\(972\) | −418769. | + | 846906.i | −0.443243 | + | 0.896402i | ||||
\(973\) | 1.24350e6 | 1.31347 | ||||||||
\(974\) | −444597. | − | 641892.i | −0.468650 | − | 0.676619i | ||||
\(975\) | −651654. | − | 13028.2i | −0.685500 | − | 0.0137048i | ||||
\(976\) | 3289.16 | − | 16659.4i | 0.00345291 | − | 0.0174888i | ||||
\(977\) | 143356. | − | 248299.i | 0.150185 | − | 0.260128i | −0.781111 | − | 0.624393i | \(-0.785346\pi\) |
0.931295 | + | 0.364265i | \(0.118680\pi\) | |||||||
\(978\) | −613867. | − | 925257.i | −0.641796 | − | 0.967353i | ||||
\(979\) | 294335. | − | 169934.i | 0.307098 | − | 0.177303i | ||||
\(980\) | 28434.2 | − | 4715.26i | 0.0296067 | − | 0.00490969i | ||||
\(981\) | −1.56892e6 | − | 62758.2i | −1.63028 | − | 0.0652128i | ||||
\(982\) | −303523. | + | 24996.0i | −0.314752 | + | 0.0259208i | ||||
\(983\) | −504643. | + | 291356.i | −0.522249 | + | 0.301521i | −0.737854 | − | 0.674960i | \(-0.764161\pi\) |
0.215605 | + | 0.976481i | \(0.430828\pi\) | |||||||
\(984\) | −1.57975e6 | − | 483634.i | −1.63154 | − | 0.499490i | ||||
\(985\) | −70279.8 | + | 121728.i | −0.0724366 | + | 0.125464i | ||||
\(986\) | −326476. | − | 154270.i | −0.335813 | − | 0.158682i | ||||
\(987\) | 256048. | − | 423697.i | 0.262837 | − | 0.434931i | ||||
\(988\) | −896213. | + | 736569.i | −0.918116 | + | 0.754570i | ||||
\(989\) | −1.22758e6 | −1.25504 | ||||||||
\(990\) | −104893. | − | 165176.i | −0.107023 | − | 0.168530i | ||||
\(991\) | − | 918794.i | − | 0.935558i | −0.883845 | − | 0.467779i | \(-0.845054\pi\) | ||
0.883845 | − | 0.467779i | \(-0.154946\pi\) | |||||||
\(992\) | 482550. | + | 356557.i | 0.490364 | + | 0.362331i | ||||
\(993\) | −1.21188e6 | + | 667741.i | −1.22902 | + | 0.677189i | ||||
\(994\) | 948909. | + | 448388.i | 0.960399 | + | 0.453818i | ||||
\(995\) | −58881.0 | − | 33995.0i | −0.0594742 | − | 0.0343375i | ||||
\(996\) | 62313.9 | + | 428698.i | 0.0628154 | + | 0.432148i | ||||
\(997\) | 697626. | + | 1.20832e6i | 0.701830 | + | 1.21561i | 0.967823 | + | 0.251631i | \(0.0809668\pi\) |
−0.265993 | + | 0.963975i | \(0.585700\pi\) | |||||||
\(998\) | −58084.7 | + | 4783.45i | −0.0583178 | + | 0.00480264i | ||||
\(999\) | −1.66589e6 | − | 100022.i | −1.66923 | − | 0.100223i |
(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 | 36.5.f.a.31.4 | yes | 44 | |
3.2 | odd | 2 | 108.5.f.a.91.19 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.31.19 | yes | 44 | |
9.2 | odd | 6 | 108.5.f.a.19.4 | 44 | |||
9.4 | even | 3 | 324.5.d.f.163.11 | 22 | |||
9.5 | odd | 6 | 324.5.d.e.163.12 | 22 | |||
9.7 | even | 3 | inner | 36.5.f.a.7.19 | yes | 44 | |
12.11 | even | 2 | 108.5.f.a.91.4 | 44 | |||
36.7 | odd | 6 | inner | 36.5.f.a.7.4 | ✓ | 44 | |
36.11 | even | 6 | 108.5.f.a.19.19 | 44 | |||
36.23 | even | 6 | 324.5.d.e.163.11 | 22 | |||
36.31 | odd | 6 | 324.5.d.f.163.12 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.4 | ✓ | 44 | 36.7 | odd | 6 | inner | |
36.5.f.a.7.19 | yes | 44 | 9.7 | even | 3 | inner | |
36.5.f.a.31.4 | yes | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.31.19 | yes | 44 | 4.3 | odd | 2 | inner | |
108.5.f.a.19.4 | 44 | 9.2 | odd | 6 | |||
108.5.f.a.19.19 | 44 | 36.11 | even | 6 | |||
108.5.f.a.91.4 | 44 | 12.11 | even | 2 | |||
108.5.f.a.91.19 | 44 | 3.2 | odd | 2 | |||
324.5.d.e.163.11 | 22 | 36.23 | even | 6 | |||
324.5.d.e.163.12 | 22 | 9.5 | odd | 6 | |||
324.5.d.f.163.11 | 22 | 9.4 | even | 3 | |||
324.5.d.f.163.12 | 22 | 36.31 | odd | 6 |