Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,6,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(11.0664835671\) |
Analytic rank: | \(0\) |
Dimension: | \(380\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.19 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.6.g.a.14.19 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.190214 | + | 0.647810i | −0.0336254 | + | 0.114518i | −0.974596 | − | 0.223972i | \(-0.928098\pi\) |
0.940970 | + | 0.338489i | \(0.109916\pi\) | |||||||
\(3\) | −15.2666 | + | 3.15135i | −0.979353 | + | 0.202159i | ||||
\(4\) | 26.5366 | + | 17.0541i | 0.829270 | + | 0.532939i | ||||
\(5\) | −6.91235 | + | 48.0764i | −0.123652 | + | 0.860017i | 0.829712 | + | 0.558192i | \(0.188505\pi\) |
−0.953363 | + | 0.301825i | \(0.902404\pi\) | |||||||
\(6\) | 0.862446 | − | 10.4893i | 0.00978034 | − | 0.118951i | ||||
\(7\) | 156.619 | − | 71.5256i | 1.20809 | − | 0.551717i | 0.293447 | − | 0.955975i | \(-0.405198\pi\) |
0.914645 | + | 0.404259i | \(0.132470\pi\) | |||||||
\(8\) | −32.4235 | + | 28.0951i | −0.179116 | + | 0.155205i | ||||
\(9\) | 223.138 | − | 96.2208i | 0.918263 | − | 0.395970i | ||||
\(10\) | −29.8296 | − | 13.6227i | −0.0943293 | − | 0.0430788i | ||||
\(11\) | −600.835 | + | 176.421i | −1.49718 | + | 0.439611i | −0.924824 | − | 0.380394i | \(-0.875788\pi\) |
−0.572355 | + | 0.820006i | \(0.693970\pi\) | |||||||
\(12\) | −458.867 | − | 176.731i | −0.919886 | − | 0.354291i | ||||
\(13\) | −230.379 | + | 504.461i | −0.378081 | + | 0.827883i | 0.620949 | + | 0.783851i | \(0.286748\pi\) |
−0.999030 | + | 0.0440316i | \(0.985980\pi\) | |||||||
\(14\) | 16.5438 | + | 115.065i | 0.0225588 | + | 0.156900i | ||||
\(15\) | −45.9777 | − | 755.747i | −0.0527617 | − | 0.867257i | ||||
\(16\) | 407.293 | + | 891.846i | 0.397747 | + | 0.870944i | ||||
\(17\) | 259.023 | − | 166.464i | 0.217378 | − | 0.139700i | −0.427420 | − | 0.904053i | \(-0.640578\pi\) |
0.644799 | + | 0.764352i | \(0.276941\pi\) | |||||||
\(18\) | 19.8888 | + | 162.854i | 0.0144686 | + | 0.118472i | ||||
\(19\) | −828.997 | + | 1289.94i | −0.526828 | + | 0.819761i | −0.998061 | − | 0.0622485i | \(-0.980173\pi\) |
0.471233 | + | 0.882009i | \(0.343809\pi\) | |||||||
\(20\) | −1003.33 | + | 1157.90i | −0.560878 | + | 0.647287i | ||||
\(21\) | −2165.64 | + | 1585.51i | −1.07161 | + | 0.784552i | ||||
\(22\) | − | 422.785i | − | 0.186236i | ||||||
\(23\) | −2044.96 | + | 1501.50i | −0.806055 | + | 0.591841i | ||||
\(24\) | 406.458 | − | 531.094i | 0.144042 | − | 0.188210i | ||||
\(25\) | 734.854 | + | 215.773i | 0.235153 | + | 0.0690472i | ||||
\(26\) | −282.973 | − | 245.198i | −0.0820941 | − | 0.0711349i | ||||
\(27\) | −3103.33 | + | 2172.15i | −0.819254 | + | 0.573430i | ||||
\(28\) | 5375.95 | + | 772.945i | 1.29587 | + | 0.186317i | ||||
\(29\) | −2625.45 | − | 4085.28i | −0.579707 | − | 0.902041i | 0.420279 | − | 0.907395i | \(-0.361932\pi\) |
−0.999986 | + | 0.00535364i | \(0.998296\pi\) | |||||||
\(30\) | 498.326 | + | 113.969i | 0.101090 | + | 0.0231197i | ||||
\(31\) | −4374.58 | − | 5048.53i | −0.817583 | − | 0.943541i | 0.181624 | − | 0.983368i | \(-0.441865\pi\) |
−0.999207 | + | 0.0398272i | \(0.987319\pi\) | |||||||
\(32\) | −2014.12 | + | 289.587i | −0.347705 | + | 0.0499924i | ||||
\(33\) | 8616.75 | − | 4586.79i | 1.37739 | − | 0.733203i | ||||
\(34\) | 58.5672 | + | 199.461i | 0.00868874 | + | 0.0295911i | ||||
\(35\) | 2356.09 | + | 8024.10i | 0.325103 | + | 1.10720i | ||||
\(36\) | 7562.29 | + | 1252.03i | 0.972516 | + | 0.161012i | ||||
\(37\) | −10053.0 | + | 1445.40i | −1.20723 | + | 0.173574i | −0.716406 | − | 0.697683i | \(-0.754214\pi\) |
−0.490827 | + | 0.871257i | \(0.663305\pi\) | |||||||
\(38\) | −677.952 | − | 782.398i | −0.0761623 | − | 0.0878959i | ||||
\(39\) | 1927.38 | − | 8427.40i | 0.202911 | − | 0.887222i | ||||
\(40\) | −1126.59 | − | 1753.01i | −0.111331 | − | 0.173234i | ||||
\(41\) | 12174.1 | + | 1750.37i | 1.13104 | + | 0.162618i | 0.682318 | − | 0.731055i | \(-0.260972\pi\) |
0.448717 | + | 0.893674i | \(0.351881\pi\) | |||||||
\(42\) | −615.176 | − | 1704.51i | −0.0538117 | − | 0.149100i | ||||
\(43\) | 13024.2 | + | 11285.5i | 1.07419 | + | 0.930789i | 0.997800 | − | 0.0662895i | \(-0.0211161\pi\) |
0.0763870 | + | 0.997078i | \(0.475662\pi\) | |||||||
\(44\) | −18952.8 | − | 5565.06i | −1.47585 | − | 0.433349i | ||||
\(45\) | 3083.55 | + | 11392.8i | 0.226996 | + | 0.838685i | ||||
\(46\) | −583.704 | − | 1610.35i | −0.0406723 | − | 0.112208i | ||||
\(47\) | − | 2734.58i | − | 0.180570i | −0.995916 | − | 0.0902850i | \(-0.971222\pi\) | ||
0.995916 | − | 0.0902850i | \(-0.0287778\pi\) | |||||||
\(48\) | −9028.49 | − | 12331.9i | −0.565603 | − | 0.772553i | ||||
\(49\) | 8407.41 | − | 9702.67i | 0.500233 | − | 0.577299i | ||||
\(50\) | −279.559 | + | 435.003i | −0.0158143 | + | 0.0246075i | ||||
\(51\) | −3429.81 | + | 3357.61i | −0.184648 | + | 0.180761i | ||||
\(52\) | −14716.6 | + | 9457.78i | −0.754743 | + | 0.485044i | ||||
\(53\) | 10138.0 | + | 22199.0i | 0.495748 | + | 1.08554i | 0.977828 | + | 0.209410i | \(0.0671542\pi\) |
−0.482080 | + | 0.876127i | \(0.660119\pi\) | |||||||
\(54\) | −816.843 | − | 2423.54i | −0.0381201 | − | 0.113101i | ||||
\(55\) | −4328.52 | − | 30105.5i | −0.192945 | − | 1.34196i | ||||
\(56\) | −3068.62 | + | 6719.34i | −0.130759 | + | 0.286323i | ||||
\(57\) | 8590.89 | − | 22305.5i | 0.350228 | − | 0.909338i | ||||
\(58\) | 3145.88 | − | 923.714i | 0.122793 | − | 0.0360552i | ||||
\(59\) | 33513.7 | + | 15305.2i | 1.25341 | + | 0.572412i | 0.927795 | − | 0.373091i | \(-0.121702\pi\) |
0.325613 | + | 0.945503i | \(0.394429\pi\) | |||||||
\(60\) | 11668.5 | − | 20839.1i | 0.418442 | − | 0.747309i | ||||
\(61\) | 34828.1 | − | 30178.8i | 1.19841 | − | 1.03843i | 0.200133 | − | 0.979769i | \(-0.435863\pi\) |
0.998278 | − | 0.0586598i | \(-0.0186827\pi\) | |||||||
\(62\) | 4102.59 | − | 1873.59i | 0.135544 | − | 0.0619007i | ||||
\(63\) | 28065.4 | − | 31030.1i | 0.890882 | − | 0.984990i | ||||
\(64\) | −4269.51 | + | 29695.1i | −0.130295 | + | 0.906223i | ||||
\(65\) | −22660.2 | − | 14562.8i | −0.665243 | − | 0.427526i | ||||
\(66\) | 1332.34 | + | 6454.49i | 0.0376493 | + | 0.182390i | ||||
\(67\) | −1671.88 | + | 5693.91i | −0.0455008 | + | 0.154961i | −0.979110 | − | 0.203332i | \(-0.934823\pi\) |
0.933609 | + | 0.358293i | \(0.116641\pi\) | |||||||
\(68\) | 9712.48 | 0.254717 | ||||||||
\(69\) | 26487.8 | − | 29367.1i | 0.669766 | − | 0.742572i | ||||
\(70\) | −5646.25 | −0.137726 | ||||||||
\(71\) | −15435.2 | + | 52567.3i | −0.363384 | + | 1.23757i | 0.551610 | + | 0.834102i | \(0.314014\pi\) |
−0.914994 | + | 0.403468i | \(0.867805\pi\) | |||||||
\(72\) | −4531.57 | + | 9388.89i | −0.103019 | + | 0.213444i | ||||
\(73\) | −17961.2 | − | 11543.0i | −0.394484 | − | 0.253519i | 0.328329 | − | 0.944564i | \(-0.393515\pi\) |
−0.722813 | + | 0.691044i | \(0.757151\pi\) | |||||||
\(74\) | 975.876 | − | 6787.37i | 0.0207164 | − | 0.144086i | ||||
\(75\) | −11898.7 | − | 978.330i | −0.244256 | − | 0.0200832i | ||||
\(76\) | −43997.6 | + | 20093.0i | −0.873765 | + | 0.399035i | ||||
\(77\) | −81483.7 | + | 70606.0i | −1.56619 | + | 1.35711i | ||||
\(78\) | 5092.74 | + | 2851.59i | 0.0947796 | + | 0.0530701i | ||||
\(79\) | 10415.3 | + | 4756.52i | 0.187761 | + | 0.0857475i | 0.507077 | − | 0.861901i | \(-0.330726\pi\) |
−0.319316 | + | 0.947648i | \(0.603453\pi\) | |||||||
\(80\) | −45692.1 | + | 13416.4i | −0.798208 | + | 0.234375i | ||||
\(81\) | 40532.1 | − | 42941.0i | 0.686415 | − | 0.727210i | ||||
\(82\) | −3449.59 | + | 7553.54i | −0.0566542 | + | 0.124055i | ||||
\(83\) | −4134.05 | − | 28752.9i | −0.0658688 | − | 0.458128i | −0.995886 | − | 0.0906124i | \(-0.971118\pi\) |
0.930017 | − | 0.367516i | \(-0.119792\pi\) | |||||||
\(84\) | −84508.2 | + | 5141.27i | −1.30678 | + | 0.0795009i | ||||
\(85\) | 6212.53 | + | 13603.6i | 0.0932656 | + | 0.204223i | ||||
\(86\) | −9788.27 | + | 6290.54i | −0.142712 | + | 0.0917153i | ||||
\(87\) | 52955.8 | + | 54094.6i | 0.750093 | + | 0.766223i | ||||
\(88\) | 14524.6 | − | 22600.7i | 0.199939 | − | 0.311111i | ||||
\(89\) | −9058.24 | + | 10453.8i | −0.121218 | + | 0.139894i | −0.813115 | − | 0.582103i | \(-0.802230\pi\) |
0.691896 | + | 0.721997i | \(0.256775\pi\) | |||||||
\(90\) | −7966.89 | − | 169.518i | −0.103677 | − | 0.00220602i | ||||
\(91\) | 95486.2i | 1.20875i | ||||||||
\(92\) | −79872.9 | + | 4969.84i | −0.983852 | + | 0.0612171i | ||||
\(93\) | 82694.6 | + | 63288.0i | 0.991447 | + | 0.758777i | ||||
\(94\) | 1771.49 | + | 520.155i | 0.0206785 | + | 0.00607175i | ||||
\(95\) | −56285.6 | − | 48771.7i | −0.639865 | − | 0.554446i | ||||
\(96\) | 29836.2 | − | 10768.2i | 0.330419 | − | 0.119252i | ||||
\(97\) | −32913.9 | − | 4732.31i | −0.355182 | − | 0.0510674i | −0.0375854 | − | 0.999293i | \(-0.511967\pi\) |
−0.317596 | + | 0.948226i | \(0.602876\pi\) | |||||||
\(98\) | 4686.28 | + | 7291.99i | 0.0492905 | + | 0.0766974i | ||||
\(99\) | −117094. | + | 97179.1i | −1.20073 | + | 0.996518i | ||||
\(100\) | 15820.8 | + | 18258.1i | 0.158208 | + | 0.182581i | ||||
\(101\) | 135506. | − | 19482.8i | 1.32176 | − | 0.190041i | 0.554936 | − | 0.831893i | \(-0.312743\pi\) |
0.766828 | + | 0.641852i | \(0.221834\pi\) | |||||||
\(102\) | −1522.69 | − | 2860.53i | −0.0144915 | − | 0.0272236i | ||||
\(103\) | −21055.2 | − | 71707.4i | −0.195554 | − | 0.665995i | −0.997632 | − | 0.0687763i | \(-0.978091\pi\) |
0.802078 | − | 0.597219i | \(-0.203728\pi\) | |||||||
\(104\) | −6703.17 | − | 22828.9i | −0.0607710 | − | 0.206967i | ||||
\(105\) | −61256.2 | − | 115076.i | −0.542222 | − | 1.01862i | ||||
\(106\) | −16309.1 | + | 2344.90i | −0.140983 | + | 0.0202703i | ||||
\(107\) | −70906.7 | − | 81830.7i | −0.598726 | − | 0.690966i | 0.372797 | − | 0.927913i | \(-0.378399\pi\) |
−0.971523 | + | 0.236947i | \(0.923853\pi\) | |||||||
\(108\) | −119396. | + | 4717.16i | −0.984987 | + | 0.0389154i | ||||
\(109\) | 43086.5 | + | 67043.8i | 0.347356 | + | 0.540496i | 0.970342 | − | 0.241737i | \(-0.0777170\pi\) |
−0.622986 | + | 0.782233i | \(0.714081\pi\) | |||||||
\(110\) | 20326.0 | + | 2922.44i | 0.160166 | + | 0.0230284i | ||||
\(111\) | 148920. | − | 53746.9i | 1.14722 | − | 0.414044i | ||||
\(112\) | 127580. | + | 110548.i | 0.961029 | + | 0.832736i | ||||
\(113\) | 246775. | + | 72459.8i | 1.81805 | + | 0.533827i | 0.999193 | − | 0.0401717i | \(-0.0127905\pi\) |
0.818856 | + | 0.573999i | \(0.194609\pi\) | |||||||
\(114\) | 12815.6 | + | 9808.09i | 0.0923587 | + | 0.0706842i | ||||
\(115\) | −58051.1 | − | 108693.i | −0.409323 | − | 0.766403i | ||||
\(116\) | − | 153184.i | − | 1.05698i | ||||||
\(117\) | −2866.79 | + | 134732.i | −0.0193611 | + | 0.909923i | ||||
\(118\) | −16289.6 | + | 18799.2i | −0.107698 | + | 0.124290i | ||||
\(119\) | 28661.5 | − | 44598.2i | 0.185538 | − | 0.288702i | ||||
\(120\) | 22723.5 | + | 23212.2i | 0.144053 | + | 0.147151i | ||||
\(121\) | 194394. | − | 124929.i | 1.20703 | − | 0.775714i | ||||
\(122\) | 12925.3 | + | 28302.4i | 0.0786214 | + | 0.172157i | ||||
\(123\) | −191373. | + | 11642.6i | −1.14056 | + | 0.0693886i | ||||
\(124\) | −29988.6 | − | 208575.i | −0.175147 | − | 1.21817i | ||||
\(125\) | −78506.4 | + | 171905.i | −0.449397 | + | 0.984042i | ||||
\(126\) | 14763.2 | + | 24083.4i | 0.0828425 | + | 0.135142i | ||||
\(127\) | −146723. | + | 43081.8i | −0.807216 | + | 0.237020i | −0.659203 | − | 0.751965i | \(-0.729106\pi\) |
−0.148013 | + | 0.988985i | \(0.547288\pi\) | |||||||
\(128\) | −77655.1 | − | 35463.9i | −0.418933 | − | 0.191320i | ||||
\(129\) | −234400. | − | 131248.i | −1.24018 | − | 0.694413i | ||||
\(130\) | 13744.2 | − | 11909.4i | 0.0713283 | − | 0.0618064i | ||||
\(131\) | 78116.4 | − | 35674.5i | 0.397707 | − | 0.181627i | −0.206513 | − | 0.978444i | \(-0.566212\pi\) |
0.604221 | + | 0.796817i | \(0.293484\pi\) | |||||||
\(132\) | 306883. | + | 25232.4i | 1.53299 | + | 0.126045i | ||||
\(133\) | −37572.8 | + | 261325.i | −0.184181 | + | 1.28101i | ||||
\(134\) | −3370.56 | − | 2166.12i | −0.0162158 | − | 0.0104213i | ||||
\(135\) | −82977.9 | − | 164212.i | −0.391857 | − | 0.775479i | ||||
\(136\) | −3721.60 | + | 12674.6i | −0.0172537 | + | 0.0587607i | ||||
\(137\) | 134827. | 0.613728 | 0.306864 | − | 0.951753i | \(-0.400720\pi\) | ||||
0.306864 | + | 0.951753i | \(0.400720\pi\) | |||||||
\(138\) | 13986.0 | + | 22745.1i | 0.0625165 | + | 0.101669i | ||||
\(139\) | −33800.0 | −0.148382 | −0.0741908 | − | 0.997244i | \(-0.523637\pi\) | ||||
−0.0741908 | + | 0.997244i | \(0.523637\pi\) | |||||||
\(140\) | −74320.8 | + | 253113.i | −0.320472 | + | 1.09143i | ||||
\(141\) | 8617.62 | + | 41747.7i | 0.0365039 | + | 0.176842i | ||||
\(142\) | −31117.6 | − | 19998.1i | −0.129505 | − | 0.0832277i | ||||
\(143\) | 49422.6 | − | 343742.i | 0.202109 | − | 1.40570i | ||||
\(144\) | 176697. | + | 159815.i | 0.710104 | + | 0.642260i | ||||
\(145\) | 214553. | − | 97983.3i | 0.847453 | − | 0.387019i | ||||
\(146\) | 10894.1 | − | 9439.83i | 0.0422971 | − | 0.0366507i | ||||
\(147\) | −97776.1 | + | 174621.i | −0.373198 | + | 0.666506i | ||||
\(148\) | −291423. | − | 133088.i | −1.09363 | − | 0.499443i | ||||
\(149\) | 473477. | − | 139025.i | 1.74716 | − | 0.513013i | 0.757057 | − | 0.653349i | \(-0.226637\pi\) |
0.990104 | + | 0.140337i | \(0.0448185\pi\) | |||||||
\(150\) | 2897.07 | − | 7522.00i | 0.0105131 | − | 0.0272964i | ||||
\(151\) | 112782. | − | 246957.i | 0.402528 | − | 0.881413i | −0.594480 | − | 0.804111i | \(-0.702642\pi\) |
0.997008 | − | 0.0773028i | \(-0.0246308\pi\) | |||||||
\(152\) | −9362.15 | − | 65115.2i | −0.0328675 | − | 0.228598i | ||||
\(153\) | 41780.6 | − | 62067.8i | 0.144293 | − | 0.214357i | ||||
\(154\) | −30239.9 | − | 66216.2i | −0.102749 | − | 0.224990i | ||||
\(155\) | 272954. | − | 175417.i | 0.912557 | − | 0.586465i | ||||
\(156\) | 194868. | − | 190765.i | 0.641103 | − | 0.627607i | ||||
\(157\) | −62372.2 | + | 97053.0i | −0.201949 | + | 0.314239i | −0.927425 | − | 0.374008i | \(-0.877983\pi\) |
0.725476 | + | 0.688247i | \(0.241619\pi\) | |||||||
\(158\) | −5062.46 | + | 5842.39i | −0.0161332 | + | 0.0186186i | ||||
\(159\) | −224729. | − | 306956.i | −0.704963 | − | 0.962903i | ||||
\(160\) | − | 98833.5i | − | 0.305214i | ||||||
\(161\) | −212884. | + | 381430.i | −0.647260 | + | 1.15971i | ||||
\(162\) | 20107.8 | + | 34425.1i | 0.0601974 | + | 0.103059i | ||||
\(163\) | −242422. | − | 71181.6i | −0.714666 | − | 0.209845i | −0.0958672 | − | 0.995394i | \(-0.530562\pi\) |
−0.618799 | + | 0.785549i | \(0.712381\pi\) | |||||||
\(164\) | 293208. | + | 254066.i | 0.851268 | + | 0.737628i | ||||
\(165\) | 160955. | + | 445968.i | 0.460250 | + | 1.27525i | ||||
\(166\) | 19412.8 | + | 2791.14i | 0.0546786 | + | 0.00786160i | ||||
\(167\) | −332876. | − | 517965.i | −0.923615 | − | 1.43717i | −0.899233 | − | 0.437470i | \(-0.855875\pi\) |
−0.0243816 | − | 0.999703i | \(-0.507762\pi\) | |||||||
\(168\) | 25672.4 | − | 112252.i | 0.0701767 | − | 0.306845i | ||||
\(169\) | 41739.4 | + | 48169.8i | 0.112416 | + | 0.129735i | ||||
\(170\) | −9994.23 | + | 1436.95i | −0.0265233 | + | 0.00381347i | ||||
\(171\) | −60861.2 | + | 367602.i | −0.159166 | + | 0.961364i | ||||
\(172\) | 153154. | + | 521596.i | 0.394737 | + | 1.34435i | ||||
\(173\) | 46329.5 | + | 157784.i | 0.117691 | + | 0.400818i | 0.997175 | − | 0.0751094i | \(-0.0239306\pi\) |
−0.879484 | + | 0.475928i | \(0.842112\pi\) | |||||||
\(174\) | −45115.9 | + | 24015.7i | −0.112968 | + | 0.0601344i | ||||
\(175\) | 130525. | − | 18766.7i | 0.322181 | − | 0.0463227i | ||||
\(176\) | −402056. | − | 463998.i | −0.978375 | − | 1.12910i | ||||
\(177\) | −559872. | − | 128045.i | −1.34325 | − | 0.307205i | ||||
\(178\) | −5049.05 | − | 7856.47i | −0.0119443 | − | 0.0185856i | ||||
\(179\) | 252086. | + | 36244.5i | 0.588053 | + | 0.0845492i | 0.429917 | − | 0.902868i | \(-0.358543\pi\) |
0.158135 | + | 0.987417i | \(0.449452\pi\) | |||||||
\(180\) | −112466. | + | 354913.i | −0.258727 | + | 0.816471i | ||||
\(181\) | 185867. | + | 161055.i | 0.421703 | + | 0.365407i | 0.839709 | − | 0.543037i | \(-0.182726\pi\) |
−0.418006 | + | 0.908444i | \(0.637271\pi\) | |||||||
\(182\) | −61856.9 | − | 18162.8i | −0.138423 | − | 0.0406448i | ||||
\(183\) | −436603. | + | 570482.i | −0.963739 | + | 1.25926i | ||||
\(184\) | 24119.9 | − | 106137.i | 0.0525208 | − | 0.231112i | ||||
\(185\) | − | 493303.i | − | 1.05970i | ||||||
\(186\) | −56728.3 | + | 41532.1i | −0.120231 | + | 0.0880241i | ||||
\(187\) | −126262. | + | 145715.i | −0.264040 | + | 0.304719i | ||||
\(188\) | 46635.7 | − | 72566.5i | 0.0962329 | − | 0.149741i | ||||
\(189\) | −330677. | + | 562168.i | −0.673363 | + | 1.14475i | ||||
\(190\) | 42301.1 | − | 27185.3i | 0.0850096 | − | 0.0546324i | ||||
\(191\) | 231368. | + | 506624.i | 0.458901 | + | 1.00485i | 0.987737 | + | 0.156129i | \(0.0499015\pi\) |
−0.528836 | + | 0.848724i | \(0.677371\pi\) | |||||||
\(192\) | −28398.8 | − | 466798.i | −0.0555964 | − | 0.913852i | ||||
\(193\) | 73262.5 | + | 509552.i | 0.141576 | + | 0.984679i | 0.929478 | + | 0.368879i | \(0.120258\pi\) |
−0.787902 | + | 0.615801i | \(0.788833\pi\) | |||||||
\(194\) | 9326.34 | − | 20421.8i | 0.0177913 | − | 0.0389574i | ||||
\(195\) | 391837. | + | 150915.i | 0.737936 | + | 0.284213i | ||||
\(196\) | 388574. | − | 114096.i | 0.722494 | − | 0.212143i | ||||
\(197\) | −363769. | − | 166128.i | −0.667821 | − | 0.304984i | 0.0525035 | − | 0.998621i | \(-0.483280\pi\) |
−0.720325 | + | 0.693637i | \(0.756007\pi\) | |||||||
\(198\) | −40680.7 | − | 94339.4i | −0.0737438 | − | 0.171013i | ||||
\(199\) | 178259. | − | 154462.i | 0.319093 | − | 0.276496i | −0.480555 | − | 0.876965i | \(-0.659565\pi\) |
0.799648 | + | 0.600469i | \(0.205019\pi\) | |||||||
\(200\) | −29888.7 | + | 13649.7i | −0.0528362 | + | 0.0241295i | ||||
\(201\) | 7580.45 | − | 92195.3i | 0.0132344 | − | 0.160960i | ||||
\(202\) | −13154.0 | + | 91487.8i | −0.0226818 | + | 0.157756i | ||||
\(203\) | −703397. | − | 452046.i | −1.19801 | − | 0.769914i | ||||
\(204\) | −148277. | + | 30607.5i | −0.249458 | + | 0.0514934i | ||||
\(205\) | −168303. | + | 573187.i | −0.279709 | + | 0.952602i | ||||
\(206\) | 50457.8 | 0.0828438 | ||||||||
\(207\) | −311832. | + | 531808.i | −0.505819 | + | 0.862639i | ||||
\(208\) | −543733. | −0.871420 | ||||||||
\(209\) | 270517. | − | 921297.i | 0.428380 | − | 1.45893i | ||||
\(210\) | 86199.0 | − | 17793.3i | 0.134882 | − | 0.0278425i | ||||
\(211\) | −291426. | − | 187288.i | −0.450632 | − | 0.289604i | 0.295573 | − | 0.955320i | \(-0.404490\pi\) |
−0.746205 | + | 0.665717i | \(0.768126\pi\) | |||||||
\(212\) | −109556. | + | 761981.i | −0.167416 | + | 1.16441i | ||||
\(213\) | 69984.3 | − | 851166.i | 0.105694 | − | 1.28548i | ||||
\(214\) | 66498.2 | − | 30368.7i | 0.0992602 | − | 0.0453306i | ||||
\(215\) | −632596. | + | 548148.i | −0.933319 | + | 0.808726i | ||||
\(216\) | 39594.0 | − | 157617.i | 0.0577424 | − | 0.229863i | ||||
\(217\) | −1.04624e6 | − | 477803.i | −1.50828 | − | 0.688809i | ||||
\(218\) | −51627.3 | + | 15159.1i | −0.0735764 | + | 0.0216040i | ||||
\(219\) | 310583. | + | 119620.i | 0.437590 | + | 0.168536i | ||||
\(220\) | 398557. | − | 872718.i | 0.555180 | − | 1.21567i | ||||
\(221\) | 24300.9 | + | 169017.i | 0.0334690 | + | 0.232782i | ||||
\(222\) | 6491.07 | + | 106695.i | 0.00883963 | + | 0.145299i | ||||
\(223\) | 554759. | + | 1.21475e6i | 0.747036 | + | 1.63578i | 0.771620 | + | 0.636084i | \(0.219447\pi\) |
−0.0245834 | + | 0.999698i | \(0.507826\pi\) | |||||||
\(224\) | −294737. | + | 189416.i | −0.392478 | + | 0.252230i | ||||
\(225\) | 184736. | − | 22561.2i | 0.243273 | − | 0.0297102i | ||||
\(226\) | −93880.3 | + | 146081.i | −0.122265 | + | 0.190249i | ||||
\(227\) | −137627. | + | 158830.i | −0.177272 | + | 0.204582i | −0.837431 | − | 0.546543i | \(-0.815943\pi\) |
0.660159 | + | 0.751126i | \(0.270489\pi\) | |||||||
\(228\) | 608373. | − | 445404.i | 0.775056 | − | 0.567436i | ||||
\(229\) | − | 124225.i | − | 0.156538i | −0.996932 | − | 0.0782691i | \(-0.975061\pi\) | ||
0.996932 | − | 0.0782691i | \(-0.0249393\pi\) | |||||||
\(230\) | 81454.6 | − | 16931.1i | 0.101530 | − | 0.0211041i | ||||
\(231\) | 1.02147e6 | − | 1.33470e6i | 1.25950 | − | 1.64571i | ||||
\(232\) | 199902. | + | 58696.6i | 0.243836 | + | 0.0715967i | ||||
\(233\) | 314027. | + | 272106.i | 0.378946 | + | 0.328359i | 0.823419 | − | 0.567433i | \(-0.192064\pi\) |
−0.444473 | + | 0.895792i | \(0.646609\pi\) | |||||||
\(234\) | −86735.2 | − | 27485.0i | −0.103551 | − | 0.0328138i | ||||
\(235\) | 131469. | + | 18902.4i | 0.155293 | + | 0.0223278i | ||||
\(236\) | 628325. | + | 977693.i | 0.734352 | + | 1.14267i | ||||
\(237\) | −173996. | − | 39793.5i | −0.201219 | − | 0.0460195i | ||||
\(238\) | 23439.3 | + | 27050.4i | 0.0268227 | + | 0.0309551i | ||||
\(239\) | 276531. | − | 39759.2i | 0.313148 | − | 0.0450239i | 0.0160510 | − | 0.999871i | \(-0.494891\pi\) |
0.297097 | + | 0.954847i | \(0.403981\pi\) | |||||||
\(240\) | 655283. | − | 348815.i | 0.734346 | − | 0.390901i | ||||
\(241\) | −292153. | − | 994982.i | −0.324017 | − | 1.10350i | −0.946991 | − | 0.321259i | \(-0.895894\pi\) |
0.622974 | − | 0.782242i | \(-0.285924\pi\) | |||||||
\(242\) | 43954.0 | + | 149694.i | 0.0482459 | + | 0.164310i | ||||
\(243\) | −483465. | + | 783294.i | −0.525230 | + | 0.850960i | ||||
\(244\) | 1.43889e6 | − | 206881.i | 1.54723 | − | 0.222457i | ||||
\(245\) | 408355. | + | 471267.i | 0.434633 | + | 0.501593i | ||||
\(246\) | 28859.6 | − | 126188.i | 0.0304055 | − | 0.132947i | ||||
\(247\) | −459742. | − | 715373.i | −0.479482 | − | 0.746088i | ||||
\(248\) | 283678. | + | 40786.7i | 0.292884 | + | 0.0421104i | ||||
\(249\) | 153723. | + | 425931.i | 0.157124 | + | 0.435353i | ||||
\(250\) | −96428.7 | − | 83556.0i | −0.0975790 | − | 0.0845527i | ||||
\(251\) | 206579. | + | 60657.0i | 0.206967 | + | 0.0607710i | 0.383573 | − | 0.923511i | \(-0.374694\pi\) |
−0.176606 | + | 0.984282i | \(0.556512\pi\) | |||||||
\(252\) | 1.27395e6 | − | 344805.i | 1.26372 | − | 0.342036i | ||||
\(253\) | 963787. | − | 1.26293e6i | 0.946629 | − | 1.24044i | ||||
\(254\) | − | 103244.i | − | 0.100410i | ||||||
\(255\) | −137714. | − | 188102.i | −0.132626 | − | 0.181152i | ||||
\(256\) | −590931. | + | 681971.i | −0.563556 | + | 0.650378i | ||||
\(257\) | −136861. | + | 212960.i | −0.129255 | + | 0.201125i | −0.899849 | − | 0.436202i | \(-0.856323\pi\) |
0.770594 | + | 0.637326i | \(0.219960\pi\) | |||||||
\(258\) | 129610. | − | 126881.i | 0.121224 | − | 0.118672i | ||||
\(259\) | −1.47111e6 | + | 945424.i | −1.36268 | + | 0.875744i | ||||
\(260\) | −352970. | − | 772897.i | −0.323821 | − | 0.709068i | ||||
\(261\) | −978926. | − | 658958.i | −0.889505 | − | 0.598765i | ||||
\(262\) | 8251.49 | + | 57390.3i | 0.00742641 | + | 0.0516518i | ||||
\(263\) | −39174.4 | + | 85779.9i | −0.0349231 | + | 0.0764709i | −0.926290 | − | 0.376812i | \(-0.877020\pi\) |
0.891366 | + | 0.453283i | \(0.149747\pi\) | |||||||
\(264\) | −150518. | + | 390808.i | −0.132917 | + | 0.345107i | ||||
\(265\) | −1.13733e6 | + | 333949.i | −0.994880 | + | 0.292123i | ||||
\(266\) | −162142. | − | 74047.6i | −0.140505 | − | 0.0641663i | ||||
\(267\) | 105345. | − | 188139.i | 0.0904349 | − | 0.161511i | ||||
\(268\) | −141470. | + | 122585.i | −0.120318 | + | 0.104256i | ||||
\(269\) | 665156. | − | 303766.i | 0.560457 | − | 0.255952i | −0.114982 | − | 0.993368i | \(-0.536681\pi\) |
0.675440 | + | 0.737415i | \(0.263954\pi\) | |||||||
\(270\) | 122162. | − | 22518.5i | 0.101982 | − | 0.0187988i | ||||
\(271\) | 249232. | − | 1.73345e6i | 0.206149 | − | 1.43380i | −0.579423 | − | 0.815027i | \(-0.696722\pi\) |
0.785572 | − | 0.618770i | \(-0.212369\pi\) | |||||||
\(272\) | 253958. | + | 163209.i | 0.208133 | + | 0.133759i | ||||
\(273\) | −300911. | − | 1.45775e6i | −0.244360 | − | 1.18379i | ||||
\(274\) | −25646.0 | + | 87342.3i | −0.0206369 | + | 0.0702827i | ||||
\(275\) | −479593. | −0.382421 | ||||||||
\(276\) | 1.20373e6 | − | 327580.i | 0.951163 | − | 0.258848i | ||||
\(277\) | 1.94623e6 | 1.52403 | 0.762017 | − | 0.647557i | \(-0.224209\pi\) | ||||
0.762017 | + | 0.647557i | \(0.224209\pi\) | |||||||
\(278\) | 6429.24 | − | 21896.0i | 0.00498939 | − | 0.0169923i | ||||
\(279\) | −1.46191e6 | − | 705593.i | −1.12437 | − | 0.542680i | ||||
\(280\) | −301830. | − | 193975.i | −0.230074 | − | 0.147860i | ||||
\(281\) | −154343. | + | 1.07348e6i | −0.116606 | + | 0.811015i | 0.844642 | + | 0.535332i | \(0.179813\pi\) |
−0.961248 | + | 0.275684i | \(0.911096\pi\) | |||||||
\(282\) | −28683.8 | − | 2358.43i | −0.0214790 | − | 0.00176604i | ||||
\(283\) | 80136.1 | − | 36596.9i | 0.0594788 | − | 0.0271631i | −0.385454 | − | 0.922727i | \(-0.625955\pi\) |
0.444932 | + | 0.895564i | \(0.353228\pi\) | |||||||
\(284\) | −1.30608e6 | + | 1.13173e6i | −0.960893 | + | 0.832619i | ||||
\(285\) | 1.01299e6 | + | 567203.i | 0.738740 | + | 0.413644i | ||||
\(286\) | 213278. | + | 97400.9i | 0.154181 | + | 0.0704122i | ||||
\(287\) | 2.03189e6 | − | 596617.i | 1.45611 | − | 0.427554i | ||||
\(288\) | −421563. | + | 258418.i | −0.299489 | + | 0.183587i | ||||
\(289\) | −550447. | + | 1.20531e6i | −0.387678 | + | 0.848896i | ||||
\(290\) | 22663.4 | + | 157628.i | 0.0158245 | + | 0.110062i | ||||
\(291\) | 517397. | − | 31477.1i | 0.358172 | − | 0.0217903i | ||||
\(292\) | −279776. | − | 612624.i | −0.192023 | − | 0.420472i | ||||
\(293\) | −1.62526e6 | + | 1.04449e6i | −1.10600 | + | 0.710782i | −0.960417 | − | 0.278565i | \(-0.910141\pi\) |
−0.145580 | + | 0.989346i | \(0.546505\pi\) | |||||||
\(294\) | −94523.1 | − | 96555.8i | −0.0637778 | − | 0.0651493i | ||||
\(295\) | −967477. | + | 1.50542e6i | −0.647270 | + | 1.00717i | ||||
\(296\) | 285344. | − | 329305.i | 0.189295 | − | 0.218458i | ||||
\(297\) | 1.48138e6 | − | 1.85260e6i | 0.974484 | − | 1.21868i | ||||
\(298\) | 333167.i | 0.217331i | ||||||||
\(299\) | −286330. | − | 1.37751e6i | −0.185220 | − | 0.891083i | ||||
\(300\) | −299067. | − | 228883.i | −0.191851 | − | 0.146828i | ||||
\(301\) | 2.84704e6 | + | 835968.i | 1.81125 | + | 0.531831i | ||||
\(302\) | 138529. | + | 120036.i | 0.0874022 | + | 0.0757345i | ||||
\(303\) | −2.00731e6 | + | 724461.i | −1.25605 | + | 0.453324i | ||||
\(304\) | −1.48808e6 | − | 213953.i | −0.923509 | − | 0.132781i | ||||
\(305\) | 1.21014e6 | + | 1.88302e6i | 0.744881 | + | 1.15906i | ||||
\(306\) | 32260.9 | + | 38872.0i | 0.0196958 | + | 0.0237320i | ||||
\(307\) | −842939. | − | 972804.i | −0.510447 | − | 0.589087i | 0.440766 | − | 0.897622i | \(-0.354707\pi\) |
−0.951213 | + | 0.308535i | \(0.900161\pi\) | |||||||
\(308\) | −3.36642e6 | + | 484019.i | −2.02205 | + | 0.290727i | ||||
\(309\) | 547417. | + | 1.02838e6i | 0.326153 | + | 0.612711i | ||||
\(310\) | 61717.0 | + | 210189.i | 0.0364755 | + | 0.124224i | ||||
\(311\) | −423893. | − | 1.44365e6i | −0.248516 | − | 0.846369i | −0.985386 | − | 0.170335i | \(-0.945515\pi\) |
0.736870 | − | 0.676035i | \(-0.236303\pi\) | |||||||
\(312\) | 174276. | + | 327395.i | 0.101357 | + | 0.190408i | ||||
\(313\) | 1.51640e6 | − | 218026.i | 0.874891 | − | 0.125790i | 0.309783 | − | 0.950807i | \(-0.399744\pi\) |
0.565108 | + | 0.825017i | \(0.308834\pi\) | |||||||
\(314\) | −51007.8 | − | 58866.1i | −0.0291953 | − | 0.0336931i | ||||
\(315\) | 1.29782e6 | + | 1.56378e6i | 0.736949 | + | 0.887970i | ||||
\(316\) | 195270. | + | 303846.i | 0.110006 | + | 0.171173i | ||||
\(317\) | −2.53339e6 | − | 364246.i | −1.41597 | − | 0.203585i | −0.608526 | − | 0.793534i | \(-0.708239\pi\) |
−0.807441 | + | 0.589948i | \(0.799148\pi\) | |||||||
\(318\) | 241595. | − | 87194.5i | 0.133974 | − | 0.0483528i | ||||
\(319\) | 2.29819e6 | + | 1.99139e6i | 1.26447 | + | 1.09567i | ||||
\(320\) | −1.39812e6 | − | 410526.i | −0.763256 | − | 0.224112i | ||||
\(321\) | 1.34038e6 | + | 1.02582e6i | 0.726049 | + | 0.555662i | ||||
\(322\) | −206600. | − | 210462.i | −0.111043 | − | 0.113118i | ||||
\(323\) | 472123.i | 0.251796i | ||||||||
\(324\) | 1.80790e6 | − | 448274.i | 0.956782 | − | 0.237236i | ||||
\(325\) | −278144. | + | 320995.i | −0.146070 | + | 0.168574i | ||||
\(326\) | 92224.3 | − | 143504.i | 0.0480619 | − | 0.0747858i | ||||
\(327\) | −869062. | − | 887751.i | −0.449450 | − | 0.459115i | ||||
\(328\) | −443902. | + | 285279.i | −0.227826 | + | 0.146415i | ||||
\(329\) | −195592. | − | 428287.i | −0.0996236 | − | 0.218145i | ||||
\(330\) | −319518. | + | 19438.7i | −0.161514 | + | 0.00982611i | ||||
\(331\) | −261331. | − | 1.81760e6i | −0.131105 | − | 0.911859i | −0.944117 | − | 0.329611i | \(-0.893082\pi\) |
0.813011 | − | 0.582248i | \(-0.197827\pi\) | |||||||
\(332\) | 380650. | − | 833508.i | 0.189531 | − | 0.415016i | ||||
\(333\) | −2.10413e6 | + | 1.28983e6i | −1.03983 | + | 0.637415i | ||||
\(334\) | 398860. | − | 117116.i | 0.195639 | − | 0.0574447i | ||||
\(335\) | −262186. | − | 119736.i | −0.127643 | − | 0.0582927i | ||||
\(336\) | −2.29608e6 | − | 1.28565e6i | −1.10953 | − | 0.621261i | ||||
\(337\) | 205433. | − | 178008.i | 0.0985360 | − | 0.0853819i | −0.604200 | − | 0.796833i | \(-0.706507\pi\) |
0.702736 | + | 0.711451i | \(0.251962\pi\) | |||||||
\(338\) | −39144.3 | + | 17876.6i | −0.0186370 | + | 0.00851125i | ||||
\(339\) | −3.99576e6 | − | 328538.i | −1.88843 | − | 0.155270i | ||||
\(340\) | −67136.1 | + | 466941.i | −0.0314962 | + | 0.219061i | ||||
\(341\) | 3.51907e6 | + | 2.26157e6i | 1.63886 | + | 1.05323i | ||||
\(342\) | −226560. | − | 109350.i | −0.104741 | − | 0.0505536i | ||||
\(343\) | −192507. | + | 655617.i | −0.0883507 | + | 0.300895i | ||||
\(344\) | −739358. | −0.336867 | ||||||||
\(345\) | 1.22877e6 | + | 1.47643e6i | 0.555807 | + | 0.667831i | ||||
\(346\) | −111027. | −0.0498582 | ||||||||
\(347\) | 644112. | − | 2.19364e6i | 0.287169 | − | 0.978007i | −0.681947 | − | 0.731402i | \(-0.738867\pi\) |
0.969116 | − | 0.246606i | \(-0.0793153\pi\) | |||||||
\(348\) | 482737. | + | 2.33860e6i | 0.213679 | + | 1.03516i | ||||
\(349\) | −2.46440e6 | − | 1.58377e6i | −1.08305 | − | 0.696033i | −0.127788 | − | 0.991801i | \(-0.540788\pi\) |
−0.955260 | + | 0.295769i | \(0.904424\pi\) | |||||||
\(350\) | −12670.5 | + | 88125.4i | −0.00552872 | + | 0.0384531i | ||||
\(351\) | −380821. | − | 2.06593e6i | −0.164988 | − | 0.895050i | ||||
\(352\) | 1.15907e6 | − | 529328.i | 0.498599 | − | 0.227703i | ||||
\(353\) | 1.92414e6 | − | 1.66728e6i | 0.821863 | − | 0.712149i | −0.138662 | − | 0.990340i | \(-0.544280\pi\) |
0.960526 | + | 0.278191i | \(0.0897349\pi\) | |||||||
\(354\) | 189444. | − | 338335.i | 0.0803477 | − | 0.143496i | ||||
\(355\) | −2.42056e6 | − | 1.10543e6i | −1.01940 | − | 0.465544i | ||||
\(356\) | −418654. | + | 122928.i | −0.175078 | + | 0.0514074i | ||||
\(357\) | −297019. | + | 771186.i | −0.123343 | + | 0.320249i | ||||
\(358\) | −71429.9 | + | 156410.i | −0.0294559 | + | 0.0644994i | ||||
\(359\) | 335640. | + | 2.33443e6i | 0.137448 | + | 0.955969i | 0.935486 | + | 0.353363i | \(0.114962\pi\) |
−0.798039 | + | 0.602606i | \(0.794129\pi\) | |||||||
\(360\) | −420061. | − | 282761.i | −0.170827 | − | 0.114991i | ||||
\(361\) | 51888.0 | + | 113619.i | 0.0209556 | + | 0.0458863i | ||||
\(362\) | −139687. | + | 89771.7i | −0.0560255 | + | 0.0360054i | ||||
\(363\) | −2.57404e6 | + | 2.51985e6i | −1.02529 | + | 1.00371i | ||||
\(364\) | −1.62843e6 | + | 2.53388e6i | −0.644192 | + | 1.00238i | ||||
\(365\) | 679100. | − | 783723.i | 0.266810 | − | 0.307915i | ||||
\(366\) | −286516. | − | 391350.i | −0.111801 | − | 0.152708i | ||||
\(367\) | 3.32446e6i | 1.28841i | 0.764851 | + | 0.644207i | \(0.222813\pi\) | ||||
−0.764851 | + | 0.644207i | \(0.777187\pi\) | |||||||
\(368\) | −2.17200e6 | − | 1.21224e6i | −0.836065 | − | 0.466626i | ||||
\(369\) | 2.88492e6 | − | 780826.i | 1.10298 | − | 0.298530i | ||||
\(370\) | 319567. | + | 93833.2i | 0.121355 | + | 0.0356330i | ||||
\(371\) | 3.17560e6 | + | 2.75167e6i | 1.19782 | + | 1.03792i | ||||
\(372\) | 1.11512e6 | + | 3.08973e6i | 0.417795 | + | 1.15761i | ||||
\(373\) | 1.16142e6 | + | 166987.i | 0.432232 | + | 0.0621456i | 0.354997 | − | 0.934867i | \(-0.384482\pi\) |
0.0772349 | + | 0.997013i | \(0.475391\pi\) | |||||||
\(374\) | −70378.4 | − | 109511.i | −0.0260172 | − | 0.0404836i | ||||
\(375\) | 656792. | − | 2.87181e6i | 0.241185 | − | 1.05457i | ||||
\(376\) | 76828.2 | + | 88664.5i | 0.0280254 | + | 0.0323430i | ||||
\(377\) | 2.66571e6 | − | 383271.i | 0.965961 | − | 0.138884i | ||||
\(378\) | −301279. | − | 321148.i | −0.108452 | − | 0.115605i | ||||
\(379\) | 602475. | + | 2.05184e6i | 0.215447 | + | 0.733746i | 0.994308 | + | 0.106548i | \(0.0339799\pi\) |
−0.778860 | + | 0.627197i | \(0.784202\pi\) | |||||||
\(380\) | −661874. | − | 2.25414e6i | −0.235135 | − | 0.800795i | ||||
\(381\) | 2.10420e6 | − | 1.12009e6i | 0.742633 | − | 0.395312i | ||||
\(382\) | −372206. | + | 53515.1i | −0.130504 | + | 0.0187637i | ||||
\(383\) | −1.38523e6 | − | 1.59863e6i | −0.482529 | − | 0.556868i | 0.461325 | − | 0.887231i | \(-0.347374\pi\) |
−0.943854 | + | 0.330363i | \(0.892829\pi\) | |||||||
\(384\) | 1.29729e6 | + | 296694.i | 0.448961 | + | 0.102679i | ||||
\(385\) | −2.83124e6 | − | 4.40550e6i | −0.973476 | − | 1.51476i | ||||
\(386\) | −344028. | − | 49463.8i | −0.117524 | − | 0.0168974i | ||||
\(387\) | 3.99210e6 | + | 1.26503e6i | 1.35495 | + | 0.429363i | ||||
\(388\) | −792720. | − | 686896.i | −0.267326 | − | 0.231639i | ||||
\(389\) | −4.31260e6 | − | 1.26629e6i | −1.44499 | − | 0.424288i | −0.537109 | − | 0.843513i | \(-0.680484\pi\) |
−0.907882 | + | 0.419225i | \(0.862302\pi\) | |||||||
\(390\) | −172297. | + | 225130.i | −0.0573609 | + | 0.0749499i | ||||
\(391\) | −279746. | + | 729334.i | −0.0925384 | + | 0.241260i | ||||
\(392\) | 550801.i | 0.181042i | ||||||||
\(393\) | −1.08015e6 | + | 790801.i | −0.352778 | + | 0.258277i | ||||
\(394\) | 176813. | − | 204053.i | 0.0573818 | − | 0.0662221i | ||||
\(395\) | −300671. | + | 467853.i | −0.0969613 | + | 0.150875i | ||||
\(396\) | −4.76457e6 | + | 581883.i | −1.52681 | + | 0.186465i | ||||
\(397\) | 2.34943e6 | − | 1.50989e6i | 0.748145 | − | 0.480804i | −0.110179 | − | 0.993912i | \(-0.535142\pi\) |
0.858324 | + | 0.513108i | \(0.171506\pi\) | |||||||
\(398\) | 66154.6 | + | 144858.i | 0.0209340 | + | 0.0458391i | ||||
\(399\) | −249917. | − | 4.10794e6i | −0.0785892 | − | 1.29179i | ||||
\(400\) | 106865. | + | 743259.i | 0.0333952 | + | 0.232269i | ||||
\(401\) | −1.85304e6 | + | 4.05758e6i | −0.575470 | + | 1.26010i | 0.368363 | + | 0.929682i | \(0.379918\pi\) |
−0.943833 | + | 0.330422i | \(0.892809\pi\) | |||||||
\(402\) | 58283.1 | + | 22447.5i | 0.0179878 | + | 0.00692793i | ||||
\(403\) | 3.55460e6 | − | 1.04372e6i | 1.09025 | − | 0.320128i | ||||
\(404\) | 3.92812e6 | + | 1.79391e6i | 1.19738 | + | 0.546825i | ||||
\(405\) | 1.78428e6 | + | 2.24546e6i | 0.540537 | + | 0.680249i | ||||
\(406\) | 426636. | − | 369682.i | 0.128452 | − | 0.111305i | ||||
\(407\) | 5.78520e6 | − | 2.64201e6i | 1.73114 | − | 0.790585i | ||||
\(408\) | 16874.0 | − | 205226.i | 0.00501844 | − | 0.0610355i | ||||
\(409\) | 940945. | − | 6.54441e6i | 0.278135 | − | 1.93447i | −0.0711722 | − | 0.997464i | \(-0.522674\pi\) |
0.349307 | − | 0.937008i | \(-0.386417\pi\) | |||||||
\(410\) | −339302. | − | 218056.i | −0.0996844 | − | 0.0640633i | ||||
\(411\) | −2.05835e6 | + | 424888.i | −0.601056 | + | 0.124071i | ||||
\(412\) | 664169. | − | 2.26195e6i | 0.192768 | − | 0.656508i | ||||
\(413\) | 6.34360e6 | 1.83004 | ||||||||
\(414\) | −285196. | − | 303166.i | −0.0817791 | − | 0.0869319i | ||||
\(415\) | 1.41091e6 | 0.402143 | ||||||||
\(416\) | 317927. | − | 1.08276e6i | 0.0900729 | − | 0.306760i | ||||
\(417\) | 516011. | − | 106516.i | 0.145318 | − | 0.0299967i | ||||
\(418\) | 545369. | + | 350487.i | 0.152669 | + | 0.0981142i | ||||
\(419\) | 136872. | − | 951965.i | 0.0380872 | − | 0.264902i | −0.961876 | − | 0.273486i | \(-0.911823\pi\) |
0.999963 | + | 0.00858374i | \(0.00273232\pi\) | |||||||
\(420\) | 336977. | − | 4.09839e6i | 0.0932130 | − | 1.13368i | ||||
\(421\) | −2.65857e6 | + | 1.21413e6i | −0.731043 | + | 0.333856i | −0.745922 | − | 0.666033i | \(-0.767991\pi\) |
0.0148793 | + | 0.999889i | \(0.495264\pi\) | |||||||
\(422\) | 176760. | − | 153164.i | 0.0483174 | − | 0.0418673i | ||||
\(423\) | −263123. | − | 610188.i | −0.0715004 | − | 0.165811i | ||||
\(424\) | −952392. | − | 434943.i | −0.257277 | − | 0.117494i | ||||
\(425\) | 226262. | − | 66436.6i | 0.0607631 | − | 0.0178417i | ||||
\(426\) | 538082. | + | 207240.i | 0.143656 | + | 0.0553287i | ||||
\(427\) | 3.29620e6 | − | 7.21767e6i | 0.874871 | − | 1.91570i | ||||
\(428\) | −486080. | − | 3.38076e6i | −0.128262 | − | 0.892082i | ||||
\(429\) | 328736. | + | 5.40351e6i | 0.0862390 | + | 1.41753i | ||||
\(430\) | −234767. | − | 514067.i | −0.0612302 | − | 0.134075i | ||||
\(431\) | 2.84523e6 | − | 1.82852e6i | 0.737775 | − | 0.474139i | −0.117004 | − | 0.993131i | \(-0.537329\pi\) |
0.854779 | + | 0.518992i | \(0.173693\pi\) | |||||||
\(432\) | −3.20119e6 | − | 1.88299e6i | −0.825281 | − | 0.485444i | ||||
\(433\) | −3.27115e6 | + | 5.09001e6i | −0.838456 | + | 1.30466i | 0.111969 | + | 0.993712i | \(0.464284\pi\) |
−0.950426 | + | 0.310952i | \(0.899352\pi\) | |||||||
\(434\) | 508535. | − | 586881.i | 0.129597 | − | 0.149563i | ||||
\(435\) | −2.96672e6 | + | 2.17200e6i | −0.751716 | + | 0.550348i | ||||
\(436\) | 2.51392e6i | 0.633337i | ||||||||
\(437\) | −241584. | − | 3.88262e6i | −0.0605151 | − | 0.972570i | ||||
\(438\) | −136568. | + | 178445.i | −0.0340145 | + | 0.0444447i | ||||
\(439\) | 1.51302e6 | + | 444262.i | 0.374699 | + | 0.110021i | 0.463659 | − | 0.886014i | \(-0.346536\pi\) |
−0.0889604 | + | 0.996035i | \(0.528354\pi\) | |||||||
\(440\) | 986162. | + | 854514.i | 0.242838 | + | 0.210420i | ||||
\(441\) | 942414. | − | 2.97400e6i | 0.230752 | − | 0.728190i | ||||
\(442\) | −114113. | − | 16407.0i | −0.0277830 | − | 0.00399460i | ||||
\(443\) | −3.27103e6 | − | 5.08983e6i | −0.791910 | − | 1.23224i | −0.968760 | − | 0.247998i | \(-0.920227\pi\) |
0.176850 | − | 0.984238i | \(-0.443409\pi\) | |||||||
\(444\) | 4.86844e6 | + | 1.11343e6i | 1.17201 | + | 0.268044i | ||||
\(445\) | −439966. | − | 507748.i | −0.105322 | − | 0.121548i | ||||
\(446\) | −892451. | + | 128315.i | −0.212445 | + | 0.0305450i | ||||
\(447\) | −6.79026e6 | + | 3.61453e6i | −1.60738 | + | 0.855625i | ||||
\(448\) | 1.45527e6 | + | 4.95620e6i | 0.342570 | + | 1.16669i | ||||
\(449\) | 781379. | + | 2.66113e6i | 0.182914 | + | 0.622947i | 0.998987 | + | 0.0449984i | \(0.0143283\pi\) |
−0.816073 | + | 0.577948i | \(0.803854\pi\) | |||||||
\(450\) | −20524.0 | + | 123965.i | −0.00477782 | + | 0.0288581i | ||||
\(451\) | −7.62342e6 | + | 1.09608e6i | −1.76485 | + | 0.253747i | ||||
\(452\) | 5.31285e6 | + | 6.13136e6i | 1.22316 | + | 1.41160i | ||||
\(453\) | −943543. | + | 4.12561e6i | −0.216031 | + | 0.944589i | ||||
\(454\) | −76713.1 | − | 119368.i | −0.0174675 | − | 0.0271799i | ||||
\(455\) | −4.59064e6 | − | 660034.i | −1.03955 | − | 0.149464i | ||||
\(456\) | 348129. | + | 964584.i | 0.0784022 | + | 0.217234i | ||||
\(457\) | 6.11006e6 | + | 5.29440e6i | 1.36853 | + | 1.18584i | 0.962274 | + | 0.272081i | \(0.0877119\pi\) |
0.406258 | + | 0.913759i | \(0.366834\pi\) | |||||||
\(458\) | 80474.2 | + | 23629.4i | 0.0179264 | + | 0.00526367i | ||||
\(459\) | −442249. | + | 1.07923e6i | −0.0979796 | + | 0.239101i | ||||
\(460\) | 313177. | − | 3.87436e6i | 0.0690073 | − | 0.853699i | ||||
\(461\) | − | 1.55690e6i | − | 0.341200i | −0.985340 | − | 0.170600i | \(-0.945429\pi\) | ||
0.985340 | − | 0.170600i | \(-0.0545706\pi\) | |||||||
\(462\) | 670331. | + | 915600.i | 0.146112 | + | 0.199573i | ||||
\(463\) | −5.52402e6 | + | 6.37505e6i | −1.19757 | + | 1.38207i | −0.292805 | + | 0.956172i | \(0.594589\pi\) |
−0.904769 | + | 0.425902i | \(0.859957\pi\) | |||||||
\(464\) | 2.57411e6 | − | 4.00540e6i | 0.555051 | − | 0.863676i | ||||
\(465\) | −3.61428e6 | + | 3.53819e6i | −0.775156 | + | 0.758838i | ||||
\(466\) | −236006. | + | 151672.i | −0.0503451 | + | 0.0323548i | ||||
\(467\) | −1.58185e6 | − | 3.46376e6i | −0.335639 | − | 0.734946i | 0.664283 | − | 0.747481i | \(-0.268737\pi\) |
−0.999921 | + | 0.0125351i | \(0.996010\pi\) | |||||||
\(468\) | −2.37380e6 | + | 3.52643e6i | −0.500990 | + | 0.744254i | ||||
\(469\) | 145411. | + | 1.01136e6i | 0.0305257 | + | 0.212311i | ||||
\(470\) | −37252.3 | + | 81571.3i | −0.00777873 | + | 0.0170331i | ||||
\(471\) | 646363. | − | 1.67823e6i | 0.134253 | − | 0.348576i | ||||
\(472\) | −1.51663e6 | + | 445323.i | −0.313346 | + | 0.0920068i | ||||
\(473\) | −9.81641e6 | − | 4.48300e6i | −2.01744 | − | 0.921332i | ||||
\(474\) | 58875.2 | − | 105147.i | 0.0120361 | − | 0.0214957i | ||||
\(475\) | −887526. | + | 769046.i | −0.180488 | + | 0.156393i | ||||
\(476\) | 1.52116e6 | − | 694691.i | 0.307722 | − | 0.140532i | ||||
\(477\) | 4.39817e6 | + | 3.97797e6i | 0.885068 | + | 0.800507i | ||||
\(478\) | −26843.8 | + | 186703.i | −0.00537370 | + | 0.0373749i | ||||
\(479\) | 3.78699e6 | + | 2.43375e6i | 0.754145 | + | 0.484660i | 0.860362 | − | 0.509683i | \(-0.170237\pi\) |
−0.106217 | + | 0.994343i | \(0.533874\pi\) | |||||||
\(480\) | 311459. | + | 1.50885e6i | 0.0617018 | + | 0.298912i | ||||
\(481\) | 1.58685e6 | − | 5.40433e6i | 0.312734 | − | 1.06507i | ||||
\(482\) | 700131. | 0.137266 | ||||||||
\(483\) | 2.04800e6 | − | 6.49401e6i | 0.399449 | − | 1.26662i | ||||
\(484\) | 7.28912e6 | 1.41437 | ||||||||
\(485\) | 455025. | − | 1.54967e6i | 0.0878377 | − | 0.299148i | ||||
\(486\) | −415464. | − | 462187.i | −0.0797889 | − | 0.0887620i | ||||
\(487\) | −505036. | − | 324567.i | −0.0964939 | − | 0.0620129i | 0.491504 | − | 0.870875i | \(-0.336447\pi\) |
−0.587998 | + | 0.808862i | \(0.700084\pi\) | |||||||
\(488\) | −281374. | + | 1.95700e6i | −0.0534853 | + | 0.371998i | ||||
\(489\) | 3.92528e6 | + | 322743.i | 0.742333 | + | 0.0610358i | ||||
\(490\) | −382966. | + | 174895.i | −0.0720560 | + | 0.0329069i | ||||
\(491\) | −3.90792e6 | + | 3.38623e6i | −0.731547 | + | 0.633889i | −0.938825 | − | 0.344393i | \(-0.888085\pi\) |
0.207279 | + | 0.978282i | \(0.433539\pi\) | |||||||
\(492\) | −5.27694e6 | − | 2.95473e6i | −0.982810 | − | 0.550306i | ||||
\(493\) | −1.36010e6 | − | 621138.i | −0.252031 | − | 0.115099i | ||||
\(494\) | 550875. | − | 161752.i | 0.101563 | − | 0.0298216i | ||||
\(495\) | −3.86263e6 | − | 6.30119e6i | −0.708550 | − | 1.15587i | ||||
\(496\) | 2.72078e6 | − | 5.95768e6i | 0.496580 | − | 1.08736i | ||||
\(497\) | 1.34247e6 | + | 9.33706e6i | 0.243788 | + | 1.69558i | ||||
\(498\) | −305163. | + | 18565.3i | −0.0551389 | + | 0.00335451i | ||||
\(499\) | −551611. | − | 1.20786e6i | −0.0991703 | − | 0.217153i | 0.853544 | − | 0.521021i | \(-0.174449\pi\) |
−0.952714 | + | 0.303869i | \(0.901722\pi\) | |||||||
\(500\) | −5.01497e6 | + | 3.22293e6i | −0.897106 | + | 0.576535i | ||||
\(501\) | 6.71417e6 | + | 6.85855e6i | 1.19508 | + | 1.22078i | ||||
\(502\) | −78588.4 | + | 122286.i | −0.0139187 | + | 0.0216579i | ||||
\(503\) | −5.62791e6 | + | 6.49495e6i | −0.991806 | + | 1.14461i | −0.00231741 | + | 0.999997i | \(0.500738\pi\) |
−0.989489 | + | 0.144608i | \(0.953808\pi\) | |||||||
\(504\) | −38185.2 | + | 1.79460e6i | −0.00669604 | + | 0.314697i | ||||
\(505\) | 6.64930e6i | 1.16024i | ||||||||
\(506\) | 634810. | + | 864577.i | 0.110222 | + | 0.150116i | ||||
\(507\) | −789018. | − | 603854.i | −0.136322 | − | 0.104331i | ||||
\(508\) | −4.62826e6 | − | 1.35898e6i | −0.795717 | − | 0.233644i | ||||
\(509\) | −2.11630e6 | − | 1.83378e6i | −0.362062 | − | 0.313728i | 0.454765 | − | 0.890612i | \(-0.349723\pi\) |
−0.816827 | + | 0.576883i | \(0.804269\pi\) | |||||||
\(510\) | 148049. | − | 53432.7i | 0.0252047 | − | 0.00909665i | ||||
\(511\) | −3.63869e6 | − | 523165.i | −0.616444 | − | 0.0886312i | ||||
\(512\) | −1.80632e6 | − | 2.81069e6i | −0.304523 | − | 0.473848i | ||||
\(513\) | −229301. | − | 5.80383e6i | −0.0384691 | − | 0.973692i | ||||
\(514\) | −111925. | − | 129168.i | −0.0186861 | − | 0.0215649i | ||||
\(515\) | 3.59298e6 | − | 516592.i | 0.596948 | − | 0.0858282i | ||||
\(516\) | −3.98188e6 | − | 7.48035e6i | −0.658360 | − | 1.23679i | ||||
\(517\) | 482438. | + | 1.64303e6i | 0.0793807 | + | 0.270346i | ||||
\(518\) | −332629. | − | 1.13283e6i | −0.0544673 | − | 0.185499i | ||||
\(519\) | −1.20453e6 | − | 2.26282e6i | −0.196290 | − | 0.368750i | ||||
\(520\) | 1.14387e6 | − | 164463.i | 0.185510 | − | 0.0266723i | ||||
\(521\) | −4.03644e6 | − | 4.65830e6i | −0.651484 | − | 0.751853i | 0.329877 | − | 0.944024i | \(-0.392993\pi\) |
−0.981361 | + | 0.192171i | \(0.938447\pi\) | |||||||
\(522\) | 613085. | − | 508815.i | 0.0984791 | − | 0.0817303i | ||||
\(523\) | 3.75020e6 | + | 5.83543e6i | 0.599515 | + | 0.932864i | 0.999864 | + | 0.0165011i | \(0.00525271\pi\) |
−0.400348 | + | 0.916363i | \(0.631111\pi\) | |||||||
\(524\) | 2.68134e6 | + | 385519.i | 0.426603 | + | 0.0613362i | ||||
\(525\) | −1.93354e6 | + | 697836.i | −0.306164 | + | 0.110498i | ||||
\(526\) | −48117.6 | − | 41694.1i | −0.00758297 | − | 0.00657068i | ||||
\(527\) | −1.97351e6 | − | 579476.i | −0.309538 | − | 0.0908885i | ||||
\(528\) | 7.60025e6 | + | 5.81665e6i | 1.18643 | + | 0.908004i | ||||
\(529\) | 1.92736e6 | − | 6.14099e6i | 0.299449 | − | 0.954112i | ||||
\(530\) | − | 800294.i | − | 0.123754i | ||||||
\(531\) | 8.95086e6 | + | 190454.i | 1.37762 | + | 0.0293126i | ||||
\(532\) | −5.45370e6 | + | 6.29391e6i | −0.835434 | + | 0.964142i | ||||
\(533\) | −3.68765e6 | + | 5.73809e6i | −0.562253 | + | 0.874882i | ||||
\(534\) | 101840. | + | 104030.i | 0.0154549 | + | 0.0157873i | ||||
\(535\) | 4.42426e6 | − | 2.84330e6i | 0.668276 | − | 0.429475i | ||||
\(536\) | −105763. | − | 231588.i | −0.0159009 | − | 0.0348180i | ||||
\(537\) | −3.96272e6 | + | 241082.i | −0.593003 | + | 0.0360768i | ||||
\(538\) | 70260.9 | + | 488675.i | 0.0104654 | + | 0.0727888i | ||||
\(539\) | −3.33971e6 | + | 7.31295e6i | −0.495151 | + | 1.08423i | ||||
\(540\) | 598522. | − | 5.77274e6i | 0.0883275 | − | 0.851917i | ||||
\(541\) | 9.56226e6 | − | 2.80773e6i | 1.40465 | − | 0.412442i | 0.510370 | − | 0.859955i | \(-0.329508\pi\) |
0.894277 | + | 0.447513i | \(0.147690\pi\) | |||||||
\(542\) | 1.07554e6 | + | 491182.i | 0.157263 | + | 0.0718197i | ||||
\(543\) | −3.34510e6 | − | 1.87303e6i | −0.486866 | − | 0.272612i | ||||
\(544\) | −473498. | + | 410288.i | −0.0685995 | + | 0.0594418i | ||||
\(545\) | −3.52106e6 | + | 1.60801e6i | −0.507787 | + | 0.231899i | ||||
\(546\) | 1.00158e6 | + | 82351.7i | 0.143782 | + | 0.0118220i | ||||
\(547\) | 581117. | − | 4.04176e6i | 0.0830415 | − | 0.577567i | −0.905237 | − | 0.424907i | \(-0.860307\pi\) |
0.988279 | − | 0.152660i | \(-0.0487840\pi\) | |||||||
\(548\) | 3.57786e6 | + | 2.29935e6i | 0.508946 | + | 0.327080i | ||||
\(549\) | 4.86766e6 | − | 1.00852e7i | 0.689269 | − | 1.42809i | ||||
\(550\) | 91225.4 | − | 310685.i | 0.0128591 | − | 0.0437939i | ||||
\(551\) | 7.44627e6 | 1.04486 | ||||||||
\(552\) | −33754.2 | + | 1.69636e6i | −0.00471498 | + | 0.236958i | ||||
\(553\) | 1.97145e6 | 0.274141 | ||||||||
\(554\) | −370201. | + | 1.26079e6i | −0.0512463 | + | 0.174529i | ||||
\(555\) | 1.55457e6 | + | 7.53106e6i | 0.214229 | + | 1.03782i | ||||
\(556\) | −896939. | − | 576427.i | −0.123048 | − | 0.0790784i | ||||
\(557\) | −372575. | + | 2.59131e6i | −0.0508833 | + | 0.353901i | 0.948435 | + | 0.316973i | \(0.102666\pi\) |
−0.999318 | + | 0.0369283i | \(0.988243\pi\) | |||||||
\(558\) | 735166. | − | 812824.i | 0.0999539 | − | 0.110512i | ||||
\(559\) | −8.69362e6 | + | 3.97024e6i | −1.17671 | + | 0.537387i | ||||
\(560\) | −6.19664e6 | + | 5.36942e6i | −0.835000 | + | 0.723532i | ||||
\(561\) | 1.46840e6 | − | 2.62246e6i | 0.196987 | − | 0.351805i | ||||
\(562\) | −666054. | − | 304177.i | −0.0889547 | − | 0.0406242i | ||||
\(563\) | −2.68139e6 | + | 787328.i | −0.356525 | + | 0.104685i | −0.455090 | − | 0.890446i | \(-0.650393\pi\) |
0.0985653 | + | 0.995131i | \(0.468575\pi\) | |||||||
\(564\) | −483285. | + | 1.25481e6i | −0.0639744 | + | 0.166104i | ||||
\(565\) | −5.18940e6 | + | 1.13632e7i | −0.683906 | + | 1.49754i | ||||
\(566\) | 8464.84 | + | 58874.2i | 0.00111065 | + | 0.00772474i | ||||
\(567\) | 3.27672e6 | − | 9.62447e6i | 0.428038 | − | 1.25724i | ||||
\(568\) | −976422. | − | 2.13807e6i | −0.126989 | − | 0.278068i | ||||
\(569\) | −5.12255e6 | + | 3.29206e6i | −0.663293 | + | 0.426273i | −0.828502 | − | 0.559986i | \(-0.810807\pi\) |
0.165209 | + | 0.986259i | \(0.447170\pi\) | |||||||
\(570\) | −560124. | + | 548333.i | −0.0722099 | + | 0.0706898i | ||||
\(571\) | −5.90795e6 | + | 9.19295e6i | −0.758309 | + | 1.17995i | 0.220542 | + | 0.975378i | \(0.429217\pi\) |
−0.978851 | + | 0.204575i | \(0.934419\pi\) | |||||||
\(572\) | 7.17370e6 | − | 8.27889e6i | 0.916755 | − | 1.05799i | ||||
\(573\) | −5.12875e6 | − | 7.00531e6i | −0.652566 | − | 0.891334i | ||||
\(574\) | 1.42976e6i | 0.181127i | ||||||||
\(575\) | −1.82673e6 | + | 662135.i | −0.230411 | + | 0.0835174i | ||||
\(576\) | 1.90460e6 | + | 7.03692e6i | 0.239192 | + | 0.883744i | ||||
\(577\) | 275852. | + | 80997.5i | 0.0344935 | + | 0.0101282i | 0.298934 | − | 0.954274i | \(-0.403369\pi\) |
−0.264440 | + | 0.964402i | \(0.585187\pi\) | |||||||
\(578\) | −676110. | − | 585852.i | −0.0841778 | − | 0.0729405i | ||||
\(579\) | −2.72424e6 | − | 7.54824e6i | −0.337714 | − | 0.935728i | ||||
\(580\) | 7.36454e6 | + | 1.05886e6i | 0.909025 | + | 0.130698i | ||||
\(581\) | −2.70404e6 | − | 4.20757e6i | −0.332332 | − | 0.517119i | ||||
\(582\) | −78025.1 | + | 341162.i | −0.00954831 | + | 0.0417497i | ||||
\(583\) | −1.00076e7 | − | 1.15494e7i | −1.21944 | − | 1.40731i | ||||
\(584\) | 906667. | − | 130359.i | 0.110006 | − | 0.0158164i | ||||
\(585\) | −6.45760e6 | − | 1.06914e6i | −0.780156 | − | 0.129165i | ||||
\(586\) | −367485. | − | 1.25154e6i | −0.0442074 | − | 0.150557i | ||||
\(587\) | −90424.2 | − | 307956.i | −0.0108315 | − | 0.0368888i | 0.953900 | − | 0.300125i | \(-0.0970284\pi\) |
−0.964731 | + | 0.263236i | \(0.915210\pi\) | |||||||
\(588\) | −5.57265e6 | + | 2.96639e6i | −0.664689 | + | 0.353822i | ||||
\(589\) | 1.01388e7 | − | 1.45774e6i | 1.20420 | − | 0.173138i | ||||
\(590\) | −791201. | − | 913094.i | −0.0935743 | − | 0.107990i | ||||
\(591\) | 6.07704e6 | + | 1.38984e6i | 0.715688 | + | 0.163680i | ||||
\(592\) | −5.38359e6 | − | 8.37702e6i | −0.631346 | − | 0.982394i | ||||
\(593\) | 6.78679e6 | + | 975793.i | 0.792552 | + | 0.113952i | 0.526688 | − | 0.850059i | \(-0.323434\pi\) |
0.265864 | + | 0.964010i | \(0.414343\pi\) | |||||||
\(594\) | 918352. | + | 1.31204e6i | 0.106793 | + | 0.152574i | ||||
\(595\) | 1.94600e6 | + | 1.68622e6i | 0.225347 | + | 0.195264i | ||||
\(596\) | 1.49354e7 | + | 4.38543e6i | 1.72227 | + | 0.505705i | ||||
\(597\) | −2.23464e6 | + | 2.91986e6i | −0.256609 | + | 0.335295i | ||||
\(598\) | 946831. | + | 76535.5i | 0.108273 | + | 0.00875205i | ||||
\(599\) | − | 1.44231e7i | − | 1.64244i | −0.570609 | − | 0.821222i | \(-0.693293\pi\) | ||
0.570609 | − | 0.821222i | \(-0.306707\pi\) | |||||||
\(600\) | 413283. | − | 302574.i | 0.0468672 | − | 0.0343126i | ||||
\(601\) | 7.07789e6 | − | 8.16832e6i | 0.799314 | − | 0.922458i | −0.199029 | − | 0.979994i | \(-0.563779\pi\) |
0.998343 | + | 0.0575360i | \(0.0183244\pi\) | |||||||
\(602\) | −1.08310e6 | + | 1.68533e6i | −0.121808 | + | 0.189537i | ||||
\(603\) | 174812. | + | 1.43140e6i | 0.0195785 | + | 0.160312i | ||||
\(604\) | 7.20447e6 | − | 4.63003e6i | 0.803544 | − | 0.516407i | ||||
\(605\) | 4.66244e6 | + | 1.02093e7i | 0.517875 | + | 1.13399i | ||||
\(606\) | −87494.0 | − | 1.43816e6i | −0.00967824 | − | 0.159084i | ||||
\(607\) | 213832. | + | 1.48724e6i | 0.0235560 | + | 0.163836i | 0.998204 | − | 0.0599088i | \(-0.0190810\pi\) |
−0.974648 | + | 0.223744i | \(0.928172\pi\) | |||||||
\(608\) | 1.29615e6 | − | 2.83817e6i | 0.142199 | − | 0.311372i | ||||
\(609\) | 1.21630e7 | + | 4.68455e6i | 1.32892 | + | 0.511829i | ||||
\(610\) | −1.45002e6 | + | 425765.i | −0.157779 | + | 0.0463282i | ||||
\(611\) | 1.37949e6 | + | 629991.i | 0.149491 | + | 0.0682702i | ||||
\(612\) | 2.16722e6 | − | 934543.i | 0.233897 | − | 0.100860i | ||||
\(613\) | 793166. | − | 687282.i | 0.0852536 | − | 0.0738727i | −0.611191 | − | 0.791483i | \(-0.709309\pi\) |
0.696445 | + | 0.717610i | \(0.254764\pi\) | |||||||
\(614\) | 790531. | − | 361023.i | 0.0846248 | − | 0.0386469i | ||||
\(615\) | 763098. | − | 9.28099e6i | 0.0813566 | − | 0.989479i | ||||
\(616\) | 658301. | − | 4.57858e6i | 0.0698993 | − | 0.486160i | ||||
\(617\) | −1.96649e6 | − | 1.26379e6i | −0.207960 | − | 0.133648i | 0.432515 | − | 0.901627i | \(-0.357626\pi\) |
−0.640475 | + | 0.767979i | \(0.721263\pi\) | |||||||
\(618\) | −770319. | + | 159010.i | −0.0811333 | + | 0.0167476i | ||||
\(619\) | 2.86850e6 | − | 9.76922e6i | 0.300905 | − | 1.02479i | −0.660769 | − | 0.750589i | \(-0.729770\pi\) |
0.961673 | − | 0.274197i | \(-0.0884121\pi\) | |||||||
\(620\) | 1.02348e7 | 1.06931 | ||||||||
\(621\) | 3.08471e6 | − | 9.10160e6i | 0.320985 | − | 0.947084i | ||||
\(622\) | 1.01584e6 | 0.105281 | ||||||||
\(623\) | −670982. | + | 2.28516e6i | −0.0692614 | + | 0.235883i | ||||
\(624\) | 8.30095e6 | − | 1.71349e6i | 0.853427 | − | 0.176166i | ||||
\(625\) | −5.70849e6 | − | 3.66862e6i | −0.584549 | − | 0.375667i | ||||
\(626\) | −147202. | + | 1.02381e6i | −0.0150134 | + | 0.104420i | ||||
\(627\) | −1.22655e6 | + | 1.49176e7i | −0.124599 | + | 1.51541i | ||||
\(628\) | −3.31029e6 | + | 1.51176e6i | −0.334940 | + | 0.152962i | ||||
\(629\) | −2.36335e6 | + | 2.04785e6i | −0.238178 | + | 0.206382i | ||||
\(630\) | −1.25989e6 | + | 543287.i | −0.126468 | + | 0.0545353i | ||||
\(631\) | 1.37641e6 | + | 628585.i | 0.137618 | + | 0.0628479i | 0.483034 | − | 0.875602i | \(-0.339535\pi\) |
−0.345416 | + | 0.938450i | \(0.612262\pi\) | |||||||
\(632\) | −471336. | + | 138397.i | −0.0469394 | + | 0.0137827i | ||||
\(633\) | 5.03929e6 | + | 1.94087e6i | 0.499874 | + | 0.192525i | ||||
\(634\) | 717848. | − | 1.57187e6i | 0.0709266 | − | 0.155308i | ||||
\(635\) | −1.05702e6 | − | 7.35173e6i | −0.104028 | − | 0.723528i | ||||
\(636\) | −728718. | − | 1.19781e7i | −0.0714359 | − | 1.17421i | ||||
\(637\) | 2.95772e6 | + | 6.47650e6i | 0.288808 | + | 0.632400i | ||||
\(638\) | −1.72719e6 | + | 1.11000e6i | −0.167992 | + | 0.107962i | ||||
\(639\) | 1.61390e6 | + | 1.32149e7i | 0.156360 | + | 1.28030i | ||||
\(640\) | 2.24175e6 | − | 3.48824e6i | 0.216341 | − | 0.336633i | ||||
\(641\) | 8.55955e6 | − | 9.87824e6i | 0.822822 | − | 0.949587i | −0.176576 | − | 0.984287i | \(-0.556502\pi\) |
0.999398 | + | 0.0347002i | \(0.0110476\pi\) | |||||||
\(642\) | −919499. | + | 673186.i | −0.0880468 | + | 0.0644611i | ||||
\(643\) | 1.34556e7i | 1.28344i | 0.766937 | + | 0.641722i | \(0.221780\pi\) | ||||
−0.766937 | + | 0.641722i | \(0.778220\pi\) | |||||||
\(644\) | −1.21542e7 | + | 6.49133e6i | −1.15481 | + | 0.616764i | ||||
\(645\) | 7.93018e6 | − | 1.03619e7i | 0.750557 | − | 0.980707i | ||||
\(646\) | −305846. | − | 89804.5i | −0.0288351 | − | 0.00846675i | ||||
\(647\) | 1.90826e6 | + | 1.65352e6i | 0.179216 | + | 0.155292i | 0.739849 | − | 0.672773i | \(-0.234897\pi\) |
−0.560633 | + | 0.828064i | \(0.689442\pi\) | |||||||
\(648\) | −107759. | + | 2.53105e6i | −0.0100813 | + | 0.236790i | ||||
\(649\) | −2.28364e7 | − | 3.28338e6i | −2.12821 | − | 0.305991i | ||||
\(650\) | −155037. | − | 241242.i | −0.0143930 | − | 0.0223960i | ||||
\(651\) | 1.74783e7 | + | 3.99734e6i | 1.61639 | + | 0.369674i | ||||
\(652\) | −5.21914e6 | − | 6.02320e6i | −0.480817 | − | 0.554892i | ||||
\(653\) | −1.38395e7 | + | 1.98982e6i | −1.27010 | + | 0.182612i | −0.744212 | − | 0.667943i | \(-0.767175\pi\) |
−0.525885 | + | 0.850556i | \(0.676266\pi\) | |||||||
\(654\) | 740402. | − | 394124.i | 0.0676898 | − | 0.0360320i | ||||
\(655\) | 1.17514e6 | + | 4.00215e6i | 0.107025 | + | 0.364494i | ||||
\(656\) | 3.39735e6 | + | 1.15703e7i | 0.308234 | + | 1.04975i | ||||
\(657\) | −5.11851e6 | − | 847434.i | −0.462626 | − | 0.0765936i | ||||
\(658\) | 314653. | − | 45240.3i | 0.0283314 | − | 0.00407344i | ||||
\(659\) | −129070. | − | 148955.i | −0.0115774 | − | 0.0133611i | 0.749931 | − | 0.661516i | \(-0.230087\pi\) |
−0.761509 | + | 0.648155i | \(0.775541\pi\) | |||||||
\(660\) | −3.33437e6 | + | 1.45794e7i | −0.297957 | + | 1.30281i | ||||
\(661\) | −319339. | − | 496901.i | −0.0284281 | − | 0.0442350i | 0.826749 | − | 0.562571i | \(-0.190188\pi\) |
−0.855177 | + | 0.518336i | \(0.826552\pi\) | |||||||
\(662\) | 1.22717e6 | + | 176440.i | 0.108832 | + | 0.0156477i | ||||
\(663\) | −903624. | − | 2.50373e6i | −0.0798369 | − | 0.221209i | ||||
\(664\) | 941856. | + | 816123.i | 0.0829018 | + | 0.0718349i | ||||
\(665\) | −1.23038e7 | − | 3.61273e6i | −1.07891 | − | 0.316797i | ||||
\(666\) | −435331. | − | 1.60842e6i | −0.0380307 | − | 0.140512i | ||||
\(667\) | 1.15030e7 | + | 4.41212e6i | 1.00114 | + | 0.384001i | ||||
\(668\) | − | 1.94219e7i | − | 1.68403i | ||||||
\(669\) | −1.22974e7 | − | 1.67969e7i | −1.06230 | − | 1.45099i | ||||
\(670\) | 127438. | − | 147071.i | 0.0109676 | − | 0.0126573i | ||||
\(671\) | −1.56018e7 | + | 2.42769e7i | −1.33773 | + | 2.08155i | ||||
\(672\) | 3.90272e6 | − | 3.82056e6i | 0.333383 | − | 0.326365i | ||||
\(673\) | −6.54670e6 | + | 4.20731e6i | −0.557166 | + | 0.358069i | −0.788720 | − | 0.614753i | \(-0.789256\pi\) |
0.231553 | + | 0.972822i | \(0.425619\pi\) | |||||||
\(674\) | 76239.4 | + | 166941.i | 0.00646442 | + | 0.0141551i | ||||
\(675\) | −2.74919e6 | + | 926599.i | −0.232244 | + | 0.0782767i | ||||
\(676\) | 286132. | + | 1.99009e6i | 0.0240824 | + | 0.167497i | ||||
\(677\) | −1.17483e6 | + | 2.57252e6i | −0.0985152 | + | 0.215718i | −0.952472 | − | 0.304625i | \(-0.901469\pi\) |
0.853957 | + | 0.520343i | \(0.174196\pi\) | |||||||
\(678\) | 972881. | − | 2.52600e6i | 0.0812804 | − | 0.211038i | ||||
\(679\) | −5.49344e6 | + | 1.61302e6i | −0.457267 | + | 0.134266i | ||||
\(680\) | −583625. | − | 266533.i | −0.0484018 | − | 0.0221044i | ||||
\(681\) | 1.60057e6 | − | 2.85851e6i | 0.132253 | − | 0.236195i | ||||
\(682\) | −2.13444e6 | + | 1.84950e6i | −0.175721 | + | 0.152263i | ||||
\(683\) | −5.96805e6 | + | 2.72551e6i | −0.489531 | + | 0.223561i | −0.644859 | − | 0.764302i | \(-0.723084\pi\) |
0.155328 | + | 0.987863i | \(0.450357\pi\) | |||||||
\(684\) | −7.88416e6 | + | 8.71700e6i | −0.644340 | + | 0.712405i | ||||
\(685\) | −931972. | + | 6.48201e6i | −0.0758886 | + | 0.527816i | ||||
\(686\) | −388098. | − | 249415.i | −0.0314870 | − | 0.0202354i | ||||
\(687\) | 391477. | + | 1.89649e6i | 0.0316457 | + | 0.153306i | ||||
\(688\) | −4.76030e6 | + | 1.62121e7i | −0.383410 | + | 1.30577i | ||||
\(689\) | −1.35341e7 | −1.08613 | ||||||||
\(690\) | −1.19018e6 | + | 515173.i | −0.0951677 | + | 0.0411936i | ||||
\(691\) | 2.65609e6 | 0.211615 | 0.105808 | − | 0.994387i | \(-0.466257\pi\) | ||||
0.105808 | + | 0.994387i | \(0.466257\pi\) | |||||||
\(692\) | −1.46143e6 | + | 4.97716e6i | −0.116014 | + | 0.395109i | ||||
\(693\) | −1.13883e7 | + | 2.35953e7i | −0.900798 | + | 1.86635i | ||||
\(694\) | 1.29854e6 | + | 834524.i | 0.102343 | + | 0.0657718i | ||||
\(695\) | 233637. | − | 1.62498e6i | 0.0183476 | − | 0.127611i | ||||
\(696\) | −3.23680e6 | − | 266135.i | −0.253275 | − | 0.0208247i | ||||
\(697\) | 3.44474e6 | − | 1.57316e6i | 0.268580 | − | 0.122657i | ||||
\(698\) | 1.49475e6 | − | 1.29521e6i | 0.116126 | − | 0.100624i | ||||
\(699\) | −5.65163e6 | − | 3.16453e6i | −0.437503 | − | 0.244972i | ||||
\(700\) | 3.78376e6 | + | 1.72798e6i | 0.291862 | + | 0.133289i | ||||
\(701\) | 697780. | − | 204887.i | 0.0536319 | − | 0.0157478i | −0.254807 | − | 0.966992i | \(-0.582012\pi\) |
0.308438 | + | 0.951244i | \(0.400194\pi\) | |||||||
\(702\) | 1.41077e6 | + | 146269.i | 0.108047 | + | 0.0112024i | ||||
\(703\) | 6.46941e6 | − | 1.41660e7i | 0.493715 | − | 1.08109i | ||||
\(704\) | −2.67357e6 | − | 1.85951e7i | −0.203311 | − | 1.41406i | ||||
\(705\) | −2.06665e6 | + | 125730.i | −0.156601 | + | 0.00952719i | ||||
\(706\) | 714079. | + | 1.56362e6i | 0.0539181 | + | 0.118064i | ||||
\(707\) | 1.98293e7 | − | 1.27435e7i | 1.49196 | − | 0.958826i | ||||
\(708\) | −1.26734e7 | − | 1.29460e7i | −0.950192 | − | 0.970625i | ||||
\(709\) | −4.53587e6 | + | 7.05796e6i | −0.338880 | + | 0.527307i | −0.968310 | − | 0.249749i | \(-0.919652\pi\) |
0.629431 | + | 0.777057i | \(0.283288\pi\) | |||||||
\(710\) | 1.17653e6 | − | 1.35779e6i | 0.0875907 | − | 0.101085i | ||||
\(711\) | 2.78173e6 | + | 59189.0i | 0.206367 | + | 0.00439104i | ||||
\(712\) | − | 593439.i | − | 0.0438709i | ||||||
\(713\) | 1.65262e7 | + | 3.75562e6i | 1.21744 | + | 0.276667i | ||||
\(714\) | −443084. | − | 339102.i | −0.0325268 | − | 0.0248935i | ||||
\(715\) | 1.61842e7 | + | 4.75212e6i | 1.18393 | + | 0.347634i | ||||
\(716\) | 6.07140e6 | + | 5.26090e6i | 0.442595 | + | 0.383511i | ||||
\(717\) | −4.09640e6 | + | 1.47844e6i | −0.297580 | + | 0.107400i | ||||
\(718\) | −1.57611e6 | − | 226610.i | −0.114097 | − | 0.0164047i | ||||
\(719\) | 8.77176e6 | + | 1.36491e7i | 0.632797 | + | 0.984651i | 0.998544 | + | 0.0539371i | \(0.0171771\pi\) |
−0.365747 | + | 0.930714i | \(0.619187\pi\) | |||||||
\(720\) | −8.90471e6 | + | 7.39024e6i | −0.640160 | + | 0.531285i | ||||
\(721\) | −8.42656e6 | − | 9.72477e6i | −0.603688 | − | 0.696693i | ||||
\(722\) | −83473.3 | + | 12001.7i | −0.00595943 | + | 0.000856837i | ||||
\(723\) | 7.59572e6 | + | 1.42693e7i | 0.540410 | + | 1.01521i | ||||
\(724\) | 2.18565e6 | + | 7.44364e6i | 0.154965 | + | 0.527763i | ||||
\(725\) | −1.04783e6 | − | 3.56858e6i | −0.0740365 | − | 0.252145i | ||||
\(726\) | −1.14277e6 | − | 2.14680e6i | −0.0804666 | − | 0.151164i | ||||
\(727\) | 1.38842e6 | − | 199624.i | 0.0974281 | − | 0.0140080i | −0.0934284 | − | 0.995626i | \(-0.529783\pi\) |
0.190856 | + | 0.981618i | \(0.438874\pi\) | |||||||
\(728\) | −2.68269e6 | − | 3.09599e6i | −0.187604 | − | 0.216507i | ||||
\(729\) | 4.91243e6 | − | 1.34818e7i | 0.342356 | − | 0.939570i | ||||
\(730\) | 378529. | + | 589003.i | 0.0262901 | + | 0.0409082i | ||||
\(731\) | 5.25220e6 | + | 755153.i | 0.363537 | + | 0.0522687i | ||||
\(732\) | −2.13150e7 | + | 7.69283e6i | −1.47031 | + | 0.530650i | ||||
\(733\) | −649374. | − | 562686.i | −0.0446411 | − | 0.0386817i | 0.632255 | − | 0.774761i | \(-0.282130\pi\) |
−0.676896 | + | 0.736079i | \(0.736675\pi\) | |||||||
\(734\) | −2.15362e6 | − | 632359.i | −0.147546 | − | 0.0433235i | ||||
\(735\) | −7.71931e6 | − | 5.90777e6i | −0.527060 | − | 0.403371i | ||||
\(736\) | 3.68398e6 | − | 3.61639e6i | 0.250682 | − | 0.246083i | ||||
\(737\) | − | 3.71606e6i | − | 0.252008i | ||||||
\(738\) | −42925.8 | + | 2.01740e6i | −0.00290120 | + | 0.136349i | ||||
\(739\) | 1.16709e7 | − | 1.34690e7i | 0.786129 | − | 0.907242i | −0.211407 | − | 0.977398i | \(-0.567804\pi\) |
0.997536 | + | 0.0701565i | \(0.0223499\pi\) | |||||||
\(740\) | 8.41282e6 | − | 1.30906e7i | 0.564758 | − | 0.878781i | ||||
\(741\) | 9.27309e6 | + | 9.47250e6i | 0.620410 | + | 0.633752i | ||||
\(742\) | −2.38660e6 | + | 1.53378e6i | −0.159137 | + | 0.102271i | ||||
\(743\) | −1.67574e6 | − | 3.66937e6i | −0.111362 | − | 0.243848i | 0.845743 | − | 0.533591i | \(-0.179158\pi\) |
−0.957105 | + | 0.289742i | \(0.906430\pi\) | |||||||
\(744\) | −4.45933e6 | + | 271294.i | −0.295350 | + | 0.0179683i | ||||
\(745\) | 3.41100e6 | + | 2.37240e7i | 0.225160 | + | 1.56602i | ||||
\(746\) | −329094. | + | 720616.i | −0.0216508 | + | 0.0474086i | ||||
\(747\) | −3.68909e6 | − | 6.01809e6i | −0.241890 | − | 0.394600i | ||||
\(748\) | −5.83560e6 | + | 1.71349e6i | −0.381357 | + | 0.111977i | ||||
\(749\) | −1.69583e7 | − | 7.74461e6i | −1.10453 | − | 0.504423i | ||||
\(750\) | 1.73545e6 | + | 971735.i | 0.112657 | + | 0.0630804i | ||||
\(751\) | 4.80358e6 | − | 4.16232e6i | 0.310788 | − | 0.269300i | −0.485474 | − | 0.874251i | \(-0.661353\pi\) |
0.796262 | + | 0.604951i | \(0.206807\pi\) | |||||||
\(752\) | 2.43882e6 | − | 1.11377e6i | 0.157266 | − | 0.0718211i | ||||
\(753\) | −3.34491e6 | − | 275024.i | −0.214979 | − | 0.0176759i | ||||
\(754\) | −258769. | + | 1.79978e6i | −0.0165761 | + | 0.115290i | ||||
\(755\) | 1.10932e7 | + | 7.12919e6i | 0.708257 | + | 0.455169i | ||||
\(756\) | −1.83623e7 | + | 9.27866e6i | −1.16848 | + | 0.590447i | ||||
\(757\) | 3.79101e6 | − | 1.29110e7i | 0.240445 | − | 0.818880i | −0.747525 | − | 0.664234i | \(-0.768758\pi\) |
0.987970 | − | 0.154646i | \(-0.0494238\pi\) | |||||||
\(758\) | −1.44380e6 | −0.0912714 | ||||||||
\(759\) | −1.07338e7 | + | 2.23178e7i | −0.676317 | + | 1.40620i | ||||
\(760\) | 3.19522e6 | 0.200663 | ||||||||
\(761\) | 5.71116e6 | − | 1.94504e7i | 0.357489 | − | 1.21750i | −0.562911 | − | 0.826518i | \(-0.690319\pi\) |
0.920400 | − | 0.390978i | \(-0.127863\pi\) | |||||||
\(762\) | 325357. | + | 1.57618e6i | 0.0202989 | + | 0.0983372i | ||||
\(763\) | 1.15435e7 | + | 7.41857e6i | 0.717838 | + | 0.461327i | ||||
\(764\) | −2.50028e6 | + | 1.73899e7i | −0.154973 | + | 1.07786i | ||||
\(765\) | 2.69520e6 | + | 2.43769e6i | 0.166509 | + | 0.150600i | ||||
\(766\) | 1.29910e6 | − | 593279.i | 0.0799965 | − | 0.0365332i | ||||
\(767\) | −1.54417e7 | + | 1.33803e7i | −0.947780 | + | 0.821256i | ||||
\(768\) | 6.87238e6 | − | 1.22736e7i | 0.420440 | − | 0.750878i | ||||
\(769\) | −1.30210e7 | − | 5.94648e6i | −0.794014 | − | 0.362614i | −0.0232456 | − | 0.999730i | \(-0.507400\pi\) |
−0.770768 | + | 0.637116i | \(0.780127\pi\) | |||||||
\(770\) | 3.39247e6 | − | 996118.i | 0.206200 | − | 0.0605458i | ||||
\(771\) | 1.41829e6 | − | 3.68247e6i | 0.0859269 | − | 0.223102i | ||||
\(772\) | −6.74578e6 | + | 1.47712e7i | −0.407370 | + | 0.892016i | ||||
\(773\) | −2.86930e6 | − | 1.99564e7i | −0.172714 | − | 1.20125i | −0.873119 | − | 0.487507i | \(-0.837906\pi\) |
0.700405 | − | 0.713746i | \(-0.253003\pi\) | |||||||
\(774\) | −1.57885e6 | + | 2.34549e6i | −0.0947304 | + | 0.140728i | ||||
\(775\) | −2.12534e6 | − | 4.65385e6i | −0.127108 | − | 0.278329i | ||||
\(776\) | 1.20014e6 | − | 771282.i | 0.0715446 | − | 0.0459789i | ||||
\(777\) | 1.94795e7 | − | 1.90694e7i | 1.15751 | − | 1.13314i | ||||
\(778\) | 1.64064e6 | − | 2.55288e6i | 0.0971769 | − | 0.151210i | ||||
\(779\) | −1.23501e7 | + | 1.42528e7i | −0.729169 | + | 0.841506i | ||||
\(780\) | 7.82432e6 | + | 1.06872e7i | 0.460479 | + | 0.628965i | ||||
\(781\) | − | 3.43074e7i | − | 2.01261i | ||||||
\(782\) | −419258. | − | 319952.i | −0.0245168 | − | 0.0187097i | ||||
\(783\) | 1.70215e7 | + | 6.97510e6i | 0.992185 | + | 0.406580i | ||||
\(784\) | 1.20776e7 | + | 3.54629e6i | 0.701761 | + | 0.206056i | ||||
\(785\) | −4.23482e6 | − | 3.66949e6i | −0.245279 | − | 0.212536i | ||||
\(786\) | −306829. | − | 850152.i | −0.0177150 | − | 0.0490840i | ||||
\(787\) | −1.57513e7 | − | 2.26469e6i | −0.906523 | − | 0.130338i | −0.326745 | − | 0.945113i | \(-0.605952\pi\) |
−0.579778 | + | 0.814774i | \(0.696861\pi\) | |||||||
\(788\) | −6.82005e6 | − | 1.06122e7i | −0.391266 | − | 0.608822i | ||||
\(789\) | 327737. | − | 1.43302e6i | 0.0187427 | − | 0.0819520i | ||||
\(790\) | −245888. | − | 283770.i | −0.0140175 | − | 0.0161770i | ||||
\(791\) | 4.38325e7 | − | 6.30216e6i | 2.49089 | − | 0.358136i | ||||
\(792\) | 1.06633e6 | − | 6.44064e6i | 0.0604058 | − | 0.364852i | ||||
\(793\) | 7.20030e6 | + | 2.45220e7i | 0.406600 | + | 1.38475i | ||||
\(794\) | 531224. | + | 1.80918e6i | 0.0299038 | + | 0.101843i | ||||
\(795\) | 1.63107e7 | − | 8.68239e6i | 0.915283 | − | 0.487216i | ||||
\(796\) | 7.36458e6 | − | 1.05887e6i | 0.411970 | − | 0.0592323i | ||||
\(797\) | 8.20621e6 | + | 9.47047e6i | 0.457611 | + | 0.528112i | 0.936924 | − | 0.349532i | \(-0.113660\pi\) |
−0.479313 | + | 0.877644i | \(0.659114\pi\) | |||||||
\(798\) | 2.70870e6 | + | 619490.i | 0.150575 | + | 0.0344371i | ||||
\(799\) | −455209. | − | 708319.i | −0.0252257 | − | 0.0392520i | ||||
\(800\) | −1.54257e6 | − | 221788.i | −0.0852158 | − | 0.0122522i | ||||
\(801\) | −1.01537e6 | + | 3.20422e6i | −0.0559168 | + | 0.176458i | ||||
\(802\) | −2.27607e6 | − | 1.97222e6i | −0.124954 | − | 0.108273i | ||||
\(803\) | 1.28282e7 | + | 3.76669e6i | 0.702063 | + | 0.206144i | ||||
\(804\) | 1.77346e6 | − | 2.31728e6i | 0.0967570 | − | 0.126426i | ||||
\(805\) | −1.68663e7 | − | 1.28713e7i | −0.917337 | − | 0.700055i | ||||
\(806\) | 2.50123e6i | 0.135618i | ||||||||
\(807\) | −9.19739e6 | + | 6.73362e6i | −0.497142 | + | 0.363969i | ||||
\(808\) | −3.84619e6 | + | 4.43874e6i | −0.207254 | + | 0.239184i | ||||
\(809\) | 1.38376e7 | − | 2.15317e7i | 0.743344 | − | 1.15667i | −0.239260 | − | 0.970955i | \(-0.576905\pi\) |
0.982604 | − | 0.185711i | \(-0.0594587\pi\) | |||||||
\(810\) | −1.79403e6 | + | 728755.i | −0.0960764 | + | 0.0390274i | ||||
\(811\) | 3.31087e6 | − | 2.12777e6i | 0.176763 | − | 0.113598i | −0.449268 | − | 0.893397i | \(-0.648315\pi\) |
0.626030 | + | 0.779799i | \(0.284679\pi\) | |||||||
\(812\) | −1.09566e7 | − | 2.39916e7i | −0.583156 | − | 1.27693i | ||||
\(813\) | 1.65778e6 | + | 2.72493e7i | 0.0879629 | + | 1.44587i | ||||
\(814\) | 611094. | + | 4.25025e6i | 0.0323257 | + | 0.224830i | ||||
\(815\) | 5.09786e6 | − | 1.11628e7i | 0.268840 | − | 0.588678i | ||||
\(816\) | −4.39141e6 | − | 1.69134e6i | −0.230876 | − | 0.0889210i | ||||
\(817\) | −2.53547e7 | + | 7.44482e6i | −1.32894 | + | 0.390211i | ||||
\(818\) | 4.06055e6 | + | 1.85439e6i | 0.212179 | + | 0.0968988i | ||||
\(819\) | 9.18776e6 | + | 2.13066e7i | 0.478630 | + | 1.10995i | ||||
\(820\) | −1.42414e7 | + | 1.23402e7i | −0.739634 | + | 0.640896i | ||||
\(821\) | −1.91179e7 | + | 8.73083e6i | −0.989877 | + | 0.452062i | −0.843478 | − | 0.537164i | \(-0.819496\pi\) |
−0.146399 | + | 0.989226i | \(0.546768\pi\) | |||||||
\(822\) | 116281. | − | 1.41424e6i | 0.00600247 | − | 0.0730035i | ||||
\(823\) | 2.31063e6 | − | 1.60708e7i | 0.118913 | − | 0.827061i | −0.839842 | − | 0.542830i | \(-0.817353\pi\) |
0.958756 | − | 0.284231i | \(-0.0917382\pi\) | |||||||
\(824\) | 2.69731e6 | + | 1.73346e6i | 0.138393 | + | 0.0889395i | ||||
\(825\) | 7.32175e6 | − | 1.51137e6i | 0.374525 | − | 0.0773099i | ||||
\(826\) | −1.20664e6 | + | 4.10945e6i | −0.0615359 | + | 0.209572i | ||||
\(827\) | 7.70085e6 | 0.391539 | 0.195769 | − | 0.980650i | \(-0.437280\pi\) | ||||
0.195769 | + | 0.980650i | \(0.437280\pi\) | |||||||
\(828\) | −1.73445e7 | + | 8.79440e6i | −0.879195 | + | 0.445790i | ||||
\(829\) | −2.88541e7 | −1.45822 | −0.729108 | − | 0.684399i | \(-0.760065\pi\) | ||||
−0.729108 | + | 0.684399i | \(0.760065\pi\) | |||||||
\(830\) | −268376. | + | 914004.i | −0.0135222 | + | 0.0460524i | ||||
\(831\) | −2.97123e7 | + | 6.13326e6i | −1.49257 | + | 0.308098i | ||||
\(832\) | −1.39964e7 | − | 8.99495e6i | −0.700984 | − | 0.450495i | ||||
\(833\) | 562568. | − | 3.91275e6i | 0.0280907 | − | 0.195375i | ||||
\(834\) | −29150.7 | + | 354538.i | −0.00145122 | + | 0.0176501i | ||||
\(835\) | 2.72028e7 | − | 1.24231e7i | 1.35020 | − | 0.616615i | ||||
\(836\) | 2.28905e7 | − | 1.98347e7i | 1.13276 | − | 0.981545i | ||||
\(837\) | 2.45419e7 | + | 6.16503e6i | 1.21086 | + | 0.304173i | ||||
\(838\) | 590657. | + | 269744.i | 0.0290553 | + | 0.0132691i | ||||
\(839\) | 3.20873e7 | − | 9.42169e6i | 1.57373 | − | 0.462087i | 0.625642 | − | 0.780110i | \(-0.284837\pi\) |
0.948083 | + | 0.318023i | \(0.103019\pi\) | |||||||
\(840\) | 5.21920e6 | + | 2.01016e6i | 0.255215 | + | 0.0982951i | ||||
\(841\) | −1.27587e6 | + | 2.79376e6i | −0.0622036 | + | 0.136207i | ||||
\(842\) | −280827. | − | 1.95319e6i | −0.0136508 | − | 0.0949434i | ||||
\(843\) | −1.02662e6 | − | 1.68748e7i | −0.0497555 | − | 0.817843i | ||||
\(844\) | −4.53944e6 | − | 9.93999e6i | −0.219354 | − | 0.480319i | ||||
\(845\) | −2.60435e6 | + | 1.67371e6i | −0.125475 | + | 0.0806379i | ||||
\(846\) | 445336. | − | 54387.5i | 0.0213925 | − | 0.00261260i | ||||
\(847\) | 2.15102e7 | − | 3.34705e7i | 1.03023 | − | 1.60307i | ||||
\(848\) | −1.56690e7 | + | 1.80830e7i | −0.748259 | + | 0.863537i | ||||
\(849\) | −1.10808e6 | + | 811248.i | −0.0527595 | + | 0.0386264i | ||||
\(850\) | 159212.i | 0.00755838i | ||||||||
\(851\) | 1.83877e7 | − | 1.80503e7i | 0.870368 | − | 0.854400i | ||||
\(852\) | 1.63730e7 | − | 2.13936e7i | 0.772732 | − | 1.00968i | ||||
\(853\) | 2.69757e7 | + | 7.92077e6i | 1.26940 | + | 0.372731i | 0.845987 | − | 0.533204i | \(-0.179012\pi\) |
0.423417 | + | 0.905935i | \(0.360830\pi\) | |||||||
\(854\) | 4.04870e6 | + | 3.50821e6i | 0.189964 | + | 0.164604i | ||||
\(855\) | −1.72523e7 | − | 5.46698e6i | −0.807109 | − | 0.255760i | ||||
\(856\) | 4.59808e6 | + | 661104.i | 0.214483 | + | 0.0308379i | ||||
\(857\) | 4.40448e6 | + | 6.85350e6i | 0.204853 | + | 0.318758i | 0.928445 | − | 0.371471i | \(-0.121146\pi\) |
−0.723592 | + | 0.690228i | \(0.757510\pi\) | |||||||
\(858\) | −3.56298e6 | − | 814866.i | −0.165232 | − | 0.0377892i | ||||
\(859\) | 2.20385e7 | + | 2.54338e7i | 1.01906 | + | 1.17605i | 0.984272 | + | 0.176660i | \(0.0565293\pi\) |
0.0347852 | + | 0.999395i | \(0.488925\pi\) | |||||||
\(860\) | −2.61351e7 | + | 3.75766e6i | −1.20498 | + | 0.173249i | ||||
\(861\) | −2.91399e7 | + | 1.55115e7i | −1.33962 | + | 0.713093i | ||||
\(862\) | 643329. | + | 2.19098e6i | 0.0294893 | + | 0.100431i | ||||
\(863\) | 3.07224e6 | + | 1.04631e7i | 0.140420 | + | 0.478225i | 0.999431 | − | 0.0337314i | \(-0.0107391\pi\) |
−0.859011 | + | 0.511956i | \(0.828921\pi\) | |||||||
\(864\) | 5.62146e6 | − | 5.27366e6i | 0.256192 | − | 0.240341i | ||||
\(865\) | −7.90593e6 | + | 1.13670e6i | −0.359263 | + | 0.0516543i | ||||
\(866\) | −2.67514e6 | − | 3.08727e6i | −0.121214 | − | 0.139888i | ||||
\(867\) | 4.60510e6 | − | 2.01357e7i | 0.208061 | − | 0.909742i | ||||
\(868\) | −1.96153e7 | − | 3.05219e7i | −0.883679 | − | 1.37503i | ||||
\(869\) | −7.09705e6 | − | 1.02040e6i | −0.318807 | − | 0.0458376i | ||||
\(870\) | −842734. | − | 2.33502e6i | −0.0377478 | − | 0.104590i | ||||
\(871\) | −2.48719e6 | − | 2.15516e6i | −0.111087 | − | 0.0962574i | ||||
\(872\) | −3.28061e6 | − | 963275.i | −0.146105 | − | 0.0429002i | ||||
\(873\) | −7.79970e6 | + | 2.11105e6i | −0.346372 | + | 0.0937481i | ||||
\(874\) | 2.56115e6 | + | 582028.i | 0.113411 | + | 0.0257730i | ||||
\(875\) | 3.25388e7i | 1.43675i | ||||||||
\(876\) | 6.20182e6 | + | 8.47101e6i | 0.273061 | + | 0.372971i | ||||
\(877\) | 9.08441e6 | − | 1.04840e7i | 0.398839 | − | 0.460285i | −0.520436 | − | 0.853901i | \(-0.674231\pi\) |
0.919275 | + | 0.393616i | \(0.128776\pi\) | |||||||
\(878\) | −575594. | + | 895642.i | −0.0251988 | + | 0.0392101i | ||||
\(879\) | 2.15207e7 | − | 2.10676e7i | 0.939471 | − | 0.919694i | ||||
\(880\) | 2.50865e7 | − | 1.61221e7i | 1.09203 | − | 0.701803i | ||||
\(881\) | −5.44451e6 | − | 1.19218e7i | −0.236330 | − | 0.517490i | 0.753891 | − | 0.657000i | \(-0.228175\pi\) |
−0.990221 | + | 0.139509i | \(0.955447\pi\) | |||||||
\(882\) | 1.74733e6 | + | 1.17620e6i | 0.0756315 | + | 0.0509109i | ||||
\(883\) | −4.54757e6 | − | 3.16291e7i | −0.196281 | − | 1.36516i | −0.814959 | − | 0.579519i | \(-0.803240\pi\) |
0.618678 | − | 0.785645i | \(-0.287669\pi\) | |||||||
\(884\) | −2.23756e6 | + | 4.89957e6i | −0.0963038 | + | 0.210876i | ||||
\(885\) | 1.00260e7 | − | 2.60316e7i | 0.430297 | − | 1.11723i | ||||
\(886\) | 3.91944e6 | − | 1.15085e6i | 0.167741 | − | 0.0492532i | ||||
\(887\) | 1.21374e7 | + | 5.54295e6i | 0.517983 | + | 0.236555i | 0.657212 | − | 0.753705i | \(-0.271735\pi\) |
−0.139230 | + | 0.990260i | \(0.544463\pi\) | |||||||
\(888\) | −3.31848e6 | + | 5.92658e6i | −0.141223 | + | 0.252216i | ||||
\(889\) | −1.98982e7 | + | 1.72419e7i | −0.844423 | + | 0.731697i | ||||
\(890\) | 412612. | − | 188434.i | 0.0174609 | − | 0.00797413i | ||||
\(891\) | −1.67774e7 | + | 3.29512e7i | −0.707996 | + | 1.39052i | ||||
\(892\) | −5.99502e6 | + | 4.16963e7i | −0.252278 | + | 1.75463i | ||||
\(893\) | 3.52745e6 | + | 2.26696e6i | 0.148024 | + | 0.0951294i | ||||
\(894\) | −1.04993e6 | − | 5.08633e6i | −0.0439355 | − | 0.212844i | ||||
\(895\) | −3.48501e6 | + | 1.18689e7i | −0.145428 | + | 0.495281i | ||||
\(896\) | −1.46988e7 | −0.611664 | ||||||||
\(897\) | 8.71231e6 | + | 2.01276e7i | 0.361537 | + | 0.835241i | ||||
\(898\) | −1.87254e6 | −0.0774890 | ||||||||
\(899\) | −9.13942e6 | + | 3.11260e7i | −0.377155 | + | 1.28447i | ||||
\(900\) | 5.28702e6 | + | 2.55179e6i | 0.217573 | + | 0.105012i | ||||
\(901\) | 6.32131e6 | + | 4.06246e6i | 0.259415 | + | 0.166716i | ||||
\(902\) | 740029. | − | 5.14701e6i | 0.0302853 | − | 0.210639i | ||||
\(903\) | −4.60991e7 | − | 3.79035e6i | −1.88137 | − | 0.154689i | ||||
\(904\) | −1.00371e7 | + | 4.58378e6i | −0.408494 | + | 0.186553i | ||||
\(905\) | −9.02772e6 | + | 7.82256e6i | −0.366401 | + | 0.317488i | ||||
\(906\) | −2.49314e6 | − | 1.39599e6i | −0.100908 | − | 0.0565016i | ||||
\(907\) | 5.63962e6 | + | 2.57553e6i | 0.227631 | + | 0.103956i | 0.525966 | − | 0.850506i | \(-0.323704\pi\) |
−0.298335 | + | 0.954461i | \(0.596431\pi\) | |||||||
\(908\) | −6.36086e6 | + | 1.86772e6i | −0.256036 | + | 0.0751790i | ||||
\(909\) | 2.83618e7 | − | 1.73858e7i | 1.13848 | − | 0.697887i | ||||
\(910\) | 1.30078e6 | − | 2.84831e6i | 0.0520715 | − | 0.114021i | ||||
\(911\) | 1.37671e6 | + | 9.57521e6i | 0.0549599 | + | 0.382254i | 0.998673 | + | 0.0514906i | \(0.0163972\pi\) |
−0.943714 | + | 0.330764i | \(0.892694\pi\) | |||||||
\(912\) | 2.33921e7 | − | 1.42312e6i | 0.931284 | − | 0.0566569i | ||||
\(913\) | 7.55651e6 | + | 1.65464e7i | 0.300016 | + | 0.656943i | ||||
\(914\) | −4.59198e6 | + | 2.95109e6i | −0.181817 | + | 0.116847i | ||||
\(915\) | −2.44088e7 | − | 2.49337e7i | −0.963815 | − | 0.984541i | ||||
\(916\) | 2.11854e6 | − | 3.29652e6i | 0.0834254 | − | 0.129812i | ||||
\(917\) | 9.68288e6 | − | 1.11746e7i | 0.380260 | − | 0.438844i | ||||
\(918\) | −615014. | − | 491778.i | −0.0240867 | − | 0.0192603i | ||||
\(919\) | 2.46932e7i | 0.964470i | 0.876042 | + | 0.482235i | \(0.160175\pi\) | ||||
−0.876042 | + | 0.482235i | \(0.839825\pi\) | |||||||
\(920\) | 4.93596e6 | + | 1.89325e6i | 0.192266 | + | 0.0737462i | ||||
\(921\) | 1.59345e7 | + | 1.21950e7i | 0.618997 | + | 0.473732i | ||||
\(922\) | 1.00858e6 | + | 296145.i | 0.0390735 | + | 0.0114730i | ||||
\(923\) | −2.29622e7 | − | 1.98969e7i | −0.887175 | − | 0.768741i | ||||
\(924\) | 4.98685e7 | − | 1.79981e7i | 1.92153 | − | 0.693500i | ||||
\(925\) | −7.69936e6 | − | 1.10700e6i | −0.295870 | − | 0.0425396i | ||||
\(926\) | −3.07908e6 | − | 4.79114e6i | −0.118003 | − | 0.183616i | ||||
\(927\) | −1.15980e7 | − | 1.39747e7i | −0.443284 | − | 0.534125i | ||||
\(928\) | 6.47101e6 | + | 7.46795e6i | 0.246662 | + | 0.284663i | ||||
\(929\) | −2.74730e7 | + | 3.95002e6i | −1.04440 | + | 0.150162i | −0.643097 | − | 0.765784i | \(-0.722351\pi\) |
−0.401301 | + | 0.915946i | \(0.631442\pi\) | |||||||
\(930\) | −1.60459e6 | − | 3.01438e6i | −0.0608354 | − | 0.114285i | ||||
\(931\) | 5.54619e6 | + | 1.88886e7i | 0.209711 | + | 0.714209i | ||||
\(932\) | 3.69271e6 | + | 1.25762e7i | 0.139253 | + | 0.474254i | ||||
\(933\) | 1.10208e7 | + | 2.07037e7i | 0.414487 | + | 0.778654i | ||||
\(934\) | 2.54475e6 | − | 365879.i | 0.0954503 | − | 0.0137237i | ||||
\(935\) | −6.13267e6 | − | 7.07747e6i | −0.229414 | − | 0.264758i | ||||
\(936\) | −3.69234e6 | − | 4.44901e6i | −0.137757 | − | 0.165987i | ||||
\(937\) | 1.25748e7 | + | 1.95667e7i | 0.467898 | + | 0.728064i | 0.992361 | − | 0.123370i | \(-0.0393701\pi\) |
−0.524463 | + | 0.851433i | \(0.675734\pi\) | |||||||
\(938\) | −682827. | − | 98175.7i | −0.0253398 | − | 0.00364332i | ||||
\(939\) | −2.24632e7 | + | 8.10724e6i | −0.831397 | + | 0.300060i | ||||
\(940\) | 3.16638e6 | + | 2.74368e6i | 0.116881 | + | 0.101278i | ||||
\(941\) | −2.66414e7 | − | 7.82261e6i | −0.980805 | − | 0.287990i | −0.248248 | − | 0.968696i | \(-0.579855\pi\) |
−0.732556 | + | 0.680706i | \(0.761673\pi\) | |||||||
\(942\) | 964223. | + | 737942.i | 0.0354038 | + | 0.0270954i | ||||
\(943\) | −2.75236e7 | + | 1.46999e7i | −1.00792 | + | 0.538313i | ||||
\(944\) | 3.61228e7i | 1.31932i | ||||||||
\(945\) | −2.47413e7 | − | 1.97837e7i | −0.901244 | − | 0.720655i | ||||
\(946\) | 4.77135e6 | − | 5.50644e6i | 0.173346 | − | 0.200052i | ||||
\(947\) | −2.50275e7 | + | 3.89435e7i | −0.906864 | + | 1.41111i | 0.00471797 | + | 0.999989i | \(0.498498\pi\) |
−0.911582 | + | 0.411119i | \(0.865138\pi\) | |||||||
\(948\) | −3.93863e6 | − | 4.02333e6i | −0.142339 | − | 0.145400i | ||||
\(949\) | 9.96088e6 | − | 6.40147e6i | 0.359031 | − | 0.230735i | ||||
\(950\) | −329375. | − | 721232.i | −0.0118408 | − | 0.0259278i | ||||
\(951\) | 3.98240e7 | − | 2.42279e6i | 1.42789 | − | 0.0868690i | ||||
\(952\) | 323685. | + | 2.25128e6i | 0.0115752 | + | 0.0805075i | ||||
\(953\) | 1.09846e7 | − | 2.40530e7i | 0.391790 | − | 0.857900i | −0.606247 | − | 0.795276i | \(-0.707326\pi\) |
0.998037 | − | 0.0626241i | \(-0.0199469\pi\) | |||||||
\(954\) | −3.41356e6 | + | 2.09252e6i | −0.121433 | + | 0.0744385i | ||||
\(955\) | −2.59560e7 | + | 7.62136e6i | −0.920935 | + | 0.270411i | ||||
\(956\) | 8.01627e6 | + | 3.66091e6i | 0.283679 | + | 0.129552i | ||||
\(957\) | −4.13611e7 | − | 2.31594e7i | −1.45986 | − | 0.817424i | ||||
\(958\) | −2.29694e6 | + | 1.99031e6i | −0.0808605 | + | 0.0700660i | ||||
\(959\) | 2.11165e7 | − | 9.64359e6i | 0.741439 | − | 0.338604i | ||||
\(960\) | 2.26383e7 | + | 1.86136e6i | 0.792803 | + | 0.0651856i | ||||
\(961\) | −2.27639e6 | + | 1.58326e7i | −0.0795129 | + | 0.553024i | ||||
\(962\) | 3.19914e6 | + | 2.05596e6i | 0.111454 | + | 0.0716271i | ||||
\(963\) | −2.36958e7 | − | 1.14368e7i | −0.823390 | − | 0.397411i | ||||
\(964\) | 9.21573e6 | − | 3.13859e7i | 0.319401 | − | 1.08778i | ||||
\(965\) | −2.50038e7 | −0.864347 | ||||||||
\(966\) | 3.81733e6 | + | 2.56196e6i | 0.131618 | + | 0.0883345i | ||||
\(967\) | −4.65449e7 | −1.60069 | −0.800343 | − | 0.599543i | \(-0.795349\pi\) | ||||
−0.800343 | + | 0.599543i | \(0.795349\pi\) | |||||||
\(968\) | −2.79302e6 | + | 9.51216e6i | −0.0958045 | + | 0.326280i | ||||
\(969\) | −1.48783e6 | − | 7.20772e6i | −0.0509029 | − | 0.246597i | ||||
\(970\) | 917341. | + | 589540.i | 0.0313041 | + | 0.0201179i | ||||
\(971\) | −2.56425e6 | + | 1.78348e7i | −0.0872796 | + | 0.607043i | 0.898497 | + | 0.438980i | \(0.144660\pi\) |
−0.985776 | + | 0.168063i | \(0.946249\pi\) | |||||||
\(972\) | −2.61879e7 | + | 1.25410e7i | −0.889068 | + | 0.425760i | ||||
\(973\) | −5.29373e6 | + | 2.41757e6i | −0.179258 | + | 0.0818646i | ||||
\(974\) | 306323. | − | 265430.i | 0.0103462 | − | 0.00896505i | ||||
\(975\) | 3.23474e6 | − | 5.77704e6i | 0.108975 | − | 0.194623i | ||||
\(976\) | 4.11000e7 | + | 1.87698e7i | 1.38108 | + | 0.630716i | ||||
\(977\) | −5.26551e7 | + | 1.54609e7i | −1.76484 | + | 0.518203i | −0.993051 | − | 0.117682i | \(-0.962454\pi\) |
−0.771785 | + | 0.635884i | \(0.780636\pi\) | |||||||
\(978\) | −955720. | + | 2.48145e6i | −0.0319509 | + | 0.0829579i | ||||
\(979\) | 3.59825e6 | − | 7.87906e6i | 0.119987 | − | 0.262735i | ||||
\(980\) | 2.79935e6 | + | 1.94699e7i | 0.0931092 | + | 0.647589i | ||||
\(981\) | 1.60652e7 | + | 1.08142e7i | 0.532985 | + | 0.358775i | ||||
\(982\) | −1.45029e6 | − | 3.17570e6i | −0.0479929 | − | 0.105090i | ||||
\(983\) | 3.01505e7 | − | 1.93766e7i | 0.995202 | − | 0.639578i | 0.0616797 | − | 0.998096i | \(-0.480354\pi\) |
0.933523 | + | 0.358518i | \(0.116718\pi\) | |||||||
\(984\) | 5.87786e6 | − | 5.75413e6i | 0.193523 | − | 0.189449i | ||||
\(985\) | 1.05013e7 | − | 1.63404e7i | 0.344869 | − | 0.536626i | ||||
\(986\) | 661090. | − | 762939.i | 0.0216555 | − | 0.0249918i | ||||
\(987\) | 4.33571e6 | + | 5.92211e6i | 0.141667 | + | 0.193501i | ||||
\(988\) | − | 2.68241e7i | − | 0.874243i | ||||||
\(989\) | −4.35791e7 | − | 3.52265e6i | −1.41673 | − | 0.114519i | ||||
\(990\) | 4.81670e6 | − | 1.30368e6i | 0.156193 | − | 0.0422748i | ||||
\(991\) | −2.74800e7 | − | 8.06886e6i | −0.888859 | − | 0.260993i | −0.194742 | − | 0.980855i | \(-0.562387\pi\) |
−0.694117 | + | 0.719862i | \(0.744205\pi\) | |||||||
\(992\) | 1.02729e7 | + | 8.90153e6i | 0.331447 | + | 0.287201i | ||||
\(993\) | 9.71752e6 | + | 2.69250e7i | 0.312739 | + | 0.866527i | ||||
\(994\) | −6.30400e6 | − | 906378.i | −0.202372 | − | 0.0290967i | ||||
\(995\) | 6.19379e6 | + | 9.63772e6i | 0.198335 | + | 0.308615i | ||||
\(996\) | −3.18456e6 | + | 1.39244e7i | −0.101719 | + | 0.444762i | ||||
\(997\) | −1.36649e7 | − | 1.57702e7i | −0.435381 | − | 0.502457i | 0.495080 | − | 0.868848i | \(-0.335139\pi\) |
−0.930461 | + | 0.366391i | \(0.880593\pi\) | |||||||
\(998\) | 887387. | − | 127587.i | 0.0282025 | − | 0.00405490i | ||||
\(999\) | 2.80582e7 | − | 2.63222e7i | 0.889499 | − | 0.834465i |
(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 | 69.6.g.a.5.19 | ✓ | 380 | |
3.2 | odd | 2 | inner | 69.6.g.a.5.20 | yes | 380 | |
23.14 | odd | 22 | inner | 69.6.g.a.14.20 | yes | 380 | |
69.14 | even | 22 | inner | 69.6.g.a.14.19 | yes | 380 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.6.g.a.5.19 | ✓ | 380 | 1.1 | even | 1 | trivial | |
69.6.g.a.5.20 | yes | 380 | 3.2 | odd | 2 | inner | |
69.6.g.a.14.19 | yes | 380 | 69.14 | even | 22 | inner | |
69.6.g.a.14.20 | yes | 380 | 23.14 | odd | 22 | inner |