Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,6,Mod(4,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.i (of order \(10\), degree \(4\), 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: | \(12.0287864860\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 75.4 |
Dual form | 75.6.i.a.19.6 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.37631 | − | 2.07179i | −1.12718 | − | 0.366244i | −0.314678 | − | 0.949198i | \(-0.601897\pi\) |
−0.812505 | + | 0.582955i | \(0.801897\pi\) | |||||||
\(3\) | 5.29007 | − | 7.28115i | 0.339358 | − | 0.467086i | ||||
\(4\) | 10.4765 | + | 7.61160i | 0.327390 | + | 0.237862i | ||||
\(5\) | −54.0427 | + | 14.2963i | −0.966746 | + | 0.255740i | ||||
\(6\) | −48.8161 | + | 35.4670i | −0.553586 | + | 0.402204i | ||||
\(7\) | − | 23.6018i | − | 0.182054i | −0.995848 | − | 0.0910268i | \(-0.970985\pi\) | ||
0.995848 | − | 0.0910268i | \(-0.0290149\pi\) | |||||||
\(8\) | 75.0733 | + | 103.329i | 0.414725 | + | 0.570820i | ||||
\(9\) | −25.0304 | − | 77.0356i | −0.103006 | − | 0.317019i | ||||
\(10\) | 374.212 | + | 20.8074i | 1.18336 | + | 0.0657988i | ||||
\(11\) | −110.177 | + | 339.091i | −0.274543 | + | 0.844958i | 0.714796 | + | 0.699333i | \(0.246519\pi\) |
−0.989340 | + | 0.145625i | \(0.953481\pi\) | |||||||
\(12\) | 110.842 | − | 36.0149i | 0.222204 | − | 0.0721986i | ||||
\(13\) | −253.189 | + | 82.2660i | −0.415514 | + | 0.135009i | −0.509311 | − | 0.860583i | \(-0.670100\pi\) |
0.0937966 | + | 0.995591i | \(0.470100\pi\) | |||||||
\(14\) | −48.8979 | + | 150.492i | −0.0666761 | + | 0.205208i | ||||
\(15\) | −181.796 | + | 469.122i | −0.208620 | + | 0.538341i | ||||
\(16\) | −392.666 | − | 1208.50i | −0.383463 | − | 1.18018i | ||||
\(17\) | −2.65440 | − | 3.65347i | −0.00222764 | − | 0.00306608i | 0.807902 | − | 0.589317i | \(-0.200603\pi\) |
−0.810129 | + | 0.586251i | \(0.800603\pi\) | |||||||
\(18\) | 543.060i | 0.395063i | ||||||||
\(19\) | 843.372 | − | 612.745i | 0.535963 | − | 0.389400i | −0.286620 | − | 0.958044i | \(-0.592532\pi\) |
0.822584 | + | 0.568644i | \(0.192532\pi\) | |||||||
\(20\) | −674.994 | − | 261.577i | −0.377333 | − | 0.146226i | ||||
\(21\) | −171.848 | − | 124.855i | −0.0850348 | − | 0.0617814i | ||||
\(22\) | 1405.05 | − | 1933.89i | 0.618921 | − | 0.851872i | ||||
\(23\) | 3963.82 | + | 1287.92i | 1.56241 | + | 0.507657i | 0.957450 | − | 0.288600i | \(-0.0931899\pi\) |
0.604958 | + | 0.796257i | \(0.293190\pi\) | |||||||
\(24\) | 1149.50 | 0.407362 | ||||||||
\(25\) | 2716.23 | − | 1545.22i | 0.869194 | − | 0.494471i | ||||
\(26\) | 1784.85 | 0.517807 | ||||||||
\(27\) | −693.320 | − | 225.273i | −0.183031 | − | 0.0594703i | ||||
\(28\) | 179.647 | − | 247.263i | 0.0433037 | − | 0.0596025i | ||||
\(29\) | 2105.93 | + | 1530.05i | 0.464996 | + | 0.337840i | 0.795488 | − | 0.605969i | \(-0.207215\pi\) |
−0.330492 | + | 0.943809i | \(0.607215\pi\) | |||||||
\(30\) | 2131.11 | − | 2614.62i | 0.432317 | − | 0.530403i | ||||
\(31\) | 8379.64 | − | 6088.16i | 1.56611 | − | 1.13784i | 0.635336 | − | 0.772236i | \(-0.280862\pi\) |
0.930770 | − | 0.365606i | \(-0.119138\pi\) | |||||||
\(32\) | 4432.20i | 0.765146i | ||||||||
\(33\) | 1886.13 | + | 2596.04i | 0.301500 | + | 0.414979i | ||||
\(34\) | 9.35607 | + | 28.7950i | 0.00138802 | + | 0.00427189i | ||||
\(35\) | 337.418 | + | 1275.50i | 0.0465584 | + | 0.176000i | ||||
\(36\) | 324.134 | − | 997.582i | 0.0416839 | − | 0.128290i | ||||
\(37\) | −4255.25 | + | 1382.61i | −0.511000 | + | 0.166034i | −0.553157 | − | 0.833077i | \(-0.686577\pi\) |
0.0421572 | + | 0.999111i | \(0.486577\pi\) | |||||||
\(38\) | −6647.08 | + | 2159.77i | −0.746744 | + | 0.242632i | ||||
\(39\) | −740.394 | + | 2278.70i | −0.0779474 | + | 0.239897i | ||||
\(40\) | −5534.39 | − | 4510.94i | −0.546915 | − | 0.445776i | ||||
\(41\) | −1897.07 | − | 5838.58i | −0.176248 | − | 0.542435i | 0.823440 | − | 0.567403i | \(-0.192052\pi\) |
−0.999688 | + | 0.0249676i | \(0.992052\pi\) | |||||||
\(42\) | 837.084 | + | 1152.15i | 0.0732227 | + | 0.100782i | ||||
\(43\) | 12085.8i | 0.996793i | 0.866949 | + | 0.498397i | \(0.166078\pi\) | ||||
−0.866949 | + | 0.498397i | \(0.833922\pi\) | |||||||
\(44\) | −3735.30 | + | 2713.85i | −0.290866 | + | 0.211327i | ||||
\(45\) | 2454.03 | + | 3805.37i | 0.180655 | + | 0.280134i | ||||
\(46\) | −22606.2 | − | 16424.4i | −1.57519 | − | 1.14444i | ||||
\(47\) | −6551.40 | + | 9017.23i | −0.432603 | + | 0.595427i | −0.968548 | − | 0.248826i | \(-0.919955\pi\) |
0.535945 | + | 0.844253i | \(0.319955\pi\) | |||||||
\(48\) | −10876.5 | − | 3534.00i | −0.681376 | − | 0.221393i | ||||
\(49\) | 16250.0 | 0.966856 | ||||||||
\(50\) | −20520.9 | + | 4225.36i | −1.16084 | + | 0.239023i | ||||
\(51\) | −40.6435 | −0.00218809 | ||||||||
\(52\) | −3278.70 | − | 1065.31i | −0.168149 | − | 0.0546348i | ||||
\(53\) | −10888.8 | + | 14987.1i | −0.532463 | + | 0.732872i | −0.987503 | − | 0.157599i | \(-0.949625\pi\) |
0.455041 | + | 0.890471i | \(0.349625\pi\) | |||||||
\(54\) | 3954.10 | + | 2872.83i | 0.184529 | + | 0.134068i | ||||
\(55\) | 1106.54 | − | 19900.6i | 0.0493240 | − | 0.887071i | ||||
\(56\) | 2438.76 | − | 1771.86i | 0.103920 | − | 0.0755022i | ||||
\(57\) | − | 9382.18i | − | 0.382487i | ||||||
\(58\) | −10258.1 | − | 14119.1i | −0.400404 | − | 0.551109i | ||||
\(59\) | 15228.6 | + | 46868.9i | 0.569549 | + | 1.75289i | 0.654033 | + | 0.756466i | \(0.273076\pi\) |
−0.0844847 | + | 0.996425i | \(0.526924\pi\) | |||||||
\(60\) | −5475.35 | + | 3530.98i | −0.196351 | + | 0.126624i | ||||
\(61\) | 4337.41 | − | 13349.2i | 0.149247 | − | 0.459335i | −0.848286 | − | 0.529539i | \(-0.822365\pi\) |
0.997533 | + | 0.0702036i | \(0.0223649\pi\) | |||||||
\(62\) | −66044.5 | + | 21459.2i | −2.18202 | + | 0.708980i | ||||
\(63\) | −1818.18 | + | 590.761i | −0.0577144 | + | 0.0187526i | ||||
\(64\) | −3382.75 | + | 10411.0i | −0.103233 | + | 0.317720i | ||||
\(65\) | 12506.9 | − | 8065.54i | 0.367169 | − | 0.236783i | ||||
\(66\) | −6648.11 | − | 20460.8i | −0.187862 | − | 0.578179i | ||||
\(67\) | 16539.0 | + | 22764.0i | 0.450113 | + | 0.619528i | 0.972422 | − | 0.233229i | \(-0.0749290\pi\) |
−0.522308 | + | 0.852757i | \(0.674929\pi\) | |||||||
\(68\) | − | 58.4797i | − | 0.00153367i | ||||||
\(69\) | 30346.4 | − | 22048.0i | 0.767335 | − | 0.557502i | ||||
\(70\) | 491.092 | − | 8832.07i | 0.0119789 | − | 0.215435i | ||||
\(71\) | −18699.3 | − | 13585.8i | −0.440229 | − | 0.319845i | 0.345497 | − | 0.938420i | \(-0.387710\pi\) |
−0.785726 | + | 0.618575i | \(0.787710\pi\) | |||||||
\(72\) | 6080.93 | − | 8369.69i | 0.138242 | − | 0.190273i | ||||
\(73\) | −3196.41 | − | 1038.58i | −0.0702030 | − | 0.0228103i | 0.273705 | − | 0.961814i | \(-0.411751\pi\) |
−0.343908 | + | 0.939003i | \(0.611751\pi\) | |||||||
\(74\) | 29997.3 | 0.636799 | ||||||||
\(75\) | 3118.04 | − | 27951.6i | 0.0640072 | − | 0.573791i | ||||
\(76\) | 13499.5 | 0.268092 | ||||||||
\(77\) | 8003.16 | + | 2600.38i | 0.153828 | + | 0.0499817i | ||||
\(78\) | 9441.96 | − | 12995.7i | 0.175722 | − | 0.241860i | ||||
\(79\) | 35405.9 | + | 25723.9i | 0.638276 | + | 0.463734i | 0.859257 | − | 0.511544i | \(-0.170926\pi\) |
−0.220982 | + | 0.975278i | \(0.570926\pi\) | |||||||
\(80\) | 38497.9 | + | 59697.1i | 0.672530 | + | 1.04287i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | 41158.9i | 0.675973i | ||||||||
\(83\) | 5606.56 | + | 7716.76i | 0.0893307 | + | 0.122953i | 0.851343 | − | 0.524609i | \(-0.175789\pi\) |
−0.762012 | + | 0.647562i | \(0.775789\pi\) | |||||||
\(84\) | −850.015 | − | 2616.08i | −0.0131440 | − | 0.0404531i | ||||
\(85\) | 195.682 | + | 159.495i | 0.00293768 | + | 0.00239442i | ||||
\(86\) | 25039.3 | − | 77063.0i | 0.365070 | − | 1.12357i | ||||
\(87\) | 22281.1 | − | 7239.55i | 0.315600 | − | 0.102545i | ||||
\(88\) | −43309.5 | + | 14072.1i | −0.596179 | + | 0.193710i | ||||
\(89\) | 27824.7 | − | 85635.5i | 0.372353 | − | 1.14598i | −0.572894 | − | 0.819629i | \(-0.694179\pi\) |
0.945247 | − | 0.326355i | \(-0.105821\pi\) | |||||||
\(90\) | −7763.76 | − | 29348.5i | −0.101034 | − | 0.381926i | ||||
\(91\) | 1941.62 | + | 5975.70i | 0.0245788 | + | 0.0756459i | ||||
\(92\) | 31723.7 | + | 43663.9i | 0.390763 | + | 0.537840i | ||||
\(93\) | − | 93220.2i | − | 1.11764i | ||||||
\(94\) | 60455.6 | − | 43923.5i | 0.705694 | − | 0.512717i | ||||
\(95\) | −36818.1 | + | 45171.5i | −0.418555 | + | 0.513518i | ||||
\(96\) | 32271.5 | + | 23446.6i | 0.357389 | + | 0.259658i | ||||
\(97\) | −15427.5 | + | 21234.2i | −0.166482 | + | 0.229142i | −0.884104 | − | 0.467290i | \(-0.845230\pi\) |
0.717622 | + | 0.696432i | \(0.245230\pi\) | |||||||
\(98\) | −103615. | − | 33666.5i | −1.08982 | − | 0.354105i | ||||
\(99\) | 28879.9 | 0.296147 | ||||||||
\(100\) | 40218.1 | + | 4486.39i | 0.402181 | + | 0.0448639i | ||||
\(101\) | 8162.68 | 0.0796213 | 0.0398107 | − | 0.999207i | \(-0.487325\pi\) | ||||
0.0398107 | + | 0.999207i | \(0.487325\pi\) | |||||||
\(102\) | 259.155 | + | 84.2046i | 0.00246638 | + | 0.000801375i | ||||
\(103\) | −67167.9 | + | 92448.7i | −0.623834 | + | 0.858633i | −0.997625 | − | 0.0688796i | \(-0.978058\pi\) |
0.373791 | + | 0.927513i | \(0.378058\pi\) | |||||||
\(104\) | −27508.2 | − | 19985.9i | −0.249390 | − | 0.181192i | ||||
\(105\) | 11072.1 | + | 4290.71i | 0.0980070 | + | 0.0379801i | ||||
\(106\) | 100480. | − | 73003.2i | 0.868593 | − | 0.631070i | ||||
\(107\) | 61359.8i | 0.518113i | 0.965862 | + | 0.259057i | \(0.0834117\pi\) | ||||
−0.965862 | + | 0.259057i | \(0.916588\pi\) | |||||||
\(108\) | −5548.85 | − | 7637.34i | −0.0457766 | − | 0.0630061i | ||||
\(109\) | 44958.9 | + | 138369.i | 0.362451 | + | 1.11551i | 0.951562 | + | 0.307457i | \(0.0994781\pi\) |
−0.589111 | + | 0.808052i | \(0.700522\pi\) | |||||||
\(110\) | −48285.4 | + | 124600.i | −0.380482 | + | 0.981827i | ||||
\(111\) | −12443.5 | + | 38297.2i | −0.0958597 | + | 0.295026i | ||||
\(112\) | −28522.8 | + | 9267.62i | −0.214856 | + | 0.0698109i | ||||
\(113\) | 136893. | − | 44479.3i | 1.00852 | − | 0.327689i | 0.242256 | − | 0.970212i | \(-0.422112\pi\) |
0.766266 | + | 0.642524i | \(0.222112\pi\) | |||||||
\(114\) | −19437.9 | + | 59823.7i | −0.140084 | + | 0.431133i | ||||
\(115\) | −232628. | − | 12934.9i | −1.64028 | − | 0.0912048i | ||||
\(116\) | 10416.6 | + | 32059.0i | 0.0718756 | + | 0.221210i | ||||
\(117\) | 12674.8 | + | 17445.4i | 0.0856007 | + | 0.117819i | ||||
\(118\) | − | 330401.i | − | 2.18442i | ||||||
\(119\) | −86.2284 | + | 62.6486i | −0.000558191 | + | 0.000405550i | ||||
\(120\) | −62122.1 | + | 16433.6i | −0.393816 | + | 0.104179i | ||||
\(121\) | 27449.1 | + | 19942.9i | 0.170437 | + | 0.123830i | ||||
\(122\) | −55313.3 | + | 76132.3i | −0.336458 | + | 0.463094i | ||||
\(123\) | −52547.3 | − | 17073.6i | −0.313175 | − | 0.101757i | ||||
\(124\) | 134130. | 0.783376 | ||||||||
\(125\) | −124702. | + | 122340.i | −0.713833 | + | 0.700316i | ||||
\(126\) | 12817.2 | 0.0719227 | ||||||||
\(127\) | 215149. | + | 69906.1i | 1.18367 | + | 0.384597i | 0.833728 | − | 0.552175i | \(-0.186202\pi\) |
0.349940 | + | 0.936772i | \(0.386202\pi\) | |||||||
\(128\) | 126505. | − | 174119.i | 0.682467 | − | 0.939335i | ||||
\(129\) | 87998.7 | + | 63934.8i | 0.465588 | + | 0.338270i | ||||
\(130\) | −96458.0 | + | 25516.7i | −0.500587 | + | 0.132424i | ||||
\(131\) | 303583. | − | 220566.i | 1.54561 | − | 1.12295i | 0.598915 | − | 0.800813i | \(-0.295599\pi\) |
0.946693 | − | 0.322137i | \(-0.104401\pi\) | |||||||
\(132\) | 41553.7i | 0.207575i | ||||||||
\(133\) | −14461.9 | − | 19905.1i | −0.0708917 | − | 0.0975741i | ||||
\(134\) | −58295.6 | − | 179415.i | −0.280462 | − | 0.863173i | ||||
\(135\) | 40689.5 | + | 2262.47i | 0.192153 | + | 0.0106843i | ||||
\(136\) | 178.237 | − | 548.556i | 0.000826323 | − | 0.00254316i | ||||
\(137\) | −77097.1 | + | 25050.4i | −0.350943 | + | 0.114028i | −0.479183 | − | 0.877715i | \(-0.659067\pi\) |
0.128240 | + | 0.991743i | \(0.459067\pi\) | |||||||
\(138\) | −239177. | + | 77713.3i | −1.06911 | + | 0.347374i | ||||
\(139\) | 71503.8 | − | 220066.i | 0.313901 | − | 0.966087i | −0.662304 | − | 0.749235i | \(-0.730421\pi\) |
0.976205 | − | 0.216851i | \(-0.0695787\pi\) | |||||||
\(140\) | −6173.67 | + | 15931.1i | −0.0266209 | + | 0.0686949i | ||||
\(141\) | 30998.5 | + | 95403.5i | 0.131308 | + | 0.404126i | ||||
\(142\) | 91085.4 | + | 125368.i | 0.379077 | + | 0.521755i | ||||
\(143\) | − | 94918.0i | − | 0.388158i | ||||||
\(144\) | −83269.1 | + | 60498.6i | −0.334640 | + | 0.243130i | ||||
\(145\) | −135684. | − | 52581.0i | −0.535932 | − | 0.207687i | ||||
\(146\) | 18229.6 | + | 13244.6i | 0.0707775 | + | 0.0514228i | ||||
\(147\) | 85963.4 | − | 118318.i | 0.328110 | − | 0.451605i | ||||
\(148\) | −55103.9 | − | 17904.3i | −0.206789 | − | 0.0671899i | ||||
\(149\) | −232241. | −0.856986 | −0.428493 | − | 0.903545i | \(-0.640955\pi\) | ||||
−0.428493 | + | 0.903545i | \(0.640955\pi\) | |||||||
\(150\) | −77791.5 | + | 171768.i | −0.282295 | + | 0.623325i | ||||
\(151\) | −286435. | −1.02231 | −0.511157 | − | 0.859488i | \(-0.670783\pi\) | ||||
−0.511157 | + | 0.859488i | \(0.670783\pi\) | |||||||
\(152\) | 126629. | + | 41144.4i | 0.444555 | + | 0.144445i | ||||
\(153\) | −215.007 | + | 295.931i | −0.000742546 | + | 0.00102203i | ||||
\(154\) | −45643.2 | − | 33161.7i | −0.155086 | − | 0.112677i | ||||
\(155\) | −365820. | + | 448819.i | −1.22303 | + | 1.50052i | ||||
\(156\) | −25101.2 | + | 18237.1i | −0.0825817 | + | 0.0599991i | ||||
\(157\) | − | 76045.1i | − | 0.246219i | −0.992393 | − | 0.123110i | \(-0.960713\pi\) | ||
0.992393 | − | 0.123110i | \(-0.0392867\pi\) | |||||||
\(158\) | −172465. | − | 237377.i | −0.549614 | − | 0.756478i | ||||
\(159\) | 51521.1 | + | 158566.i | 0.161619 | + | 0.497412i | ||||
\(160\) | −63364.1 | − | 239528.i | −0.195678 | − | 0.739701i | ||||
\(161\) | 30397.3 | − | 93553.2i | 0.0924208 | − | 0.284442i | ||||
\(162\) | 41835.0 | − | 13593.0i | 0.125243 | − | 0.0406938i | ||||
\(163\) | −50679.9 | + | 16466.9i | −0.149405 | + | 0.0485448i | −0.382765 | − | 0.923846i | \(-0.625028\pi\) |
0.233360 | + | 0.972391i | \(0.425028\pi\) | |||||||
\(164\) | 24566.3 | − | 75607.5i | 0.0713232 | − | 0.219510i | ||||
\(165\) | −139045. | − | 113332.i | −0.397600 | − | 0.324073i | ||||
\(166\) | −19761.6 | − | 60820.1i | −0.0556612 | − | 0.171308i | ||||
\(167\) | 53426.9 | + | 73535.8i | 0.148241 | + | 0.204036i | 0.876679 | − | 0.481075i | \(-0.159754\pi\) |
−0.728438 | + | 0.685111i | \(0.759754\pi\) | |||||||
\(168\) | − | 27130.2i | − | 0.0741618i | ||||||
\(169\) | −243046. | + | 176583.i | −0.654592 | + | 0.475589i | ||||
\(170\) | −917.290 | − | 1422.40i | −0.00243436 | − | 0.00377486i | ||||
\(171\) | −68313.1 | − | 49632.4i | −0.178654 | − | 0.129800i | ||||
\(172\) | −91992.4 | + | 126617.i | −0.237100 | + | 0.326340i | ||||
\(173\) | 636089. | + | 206678.i | 1.61586 | + | 0.525024i | 0.970959 | − | 0.239245i | \(-0.0769000\pi\) |
0.644898 | + | 0.764269i | \(0.276900\pi\) | |||||||
\(174\) | −157070. | −0.393296 | ||||||||
\(175\) | −36470.0 | − | 64107.9i | −0.0900203 | − | 0.158240i | ||||
\(176\) | 453056. | 1.10248 | ||||||||
\(177\) | 421820. | + | 137058.i | 1.01203 | + | 0.328829i | ||||
\(178\) | −354837. | + | 488392.i | −0.839420 | + | 1.15536i | ||||
\(179\) | −473683. | − | 344151.i | −1.10498 | − | 0.802817i | −0.123116 | − | 0.992392i | \(-0.539289\pi\) |
−0.981866 | + | 0.189576i | \(0.939289\pi\) | |||||||
\(180\) | −3255.34 | + | 58545.9i | −0.00748886 | + | 0.134684i | ||||
\(181\) | −292498. | + | 212512.i | −0.663631 | + | 0.482156i | −0.867887 | − | 0.496762i | \(-0.834522\pi\) |
0.204256 | + | 0.978917i | \(0.434522\pi\) | |||||||
\(182\) | − | 42125.6i | − | 0.0942686i | ||||||
\(183\) | −74252.2 | − | 102199.i | −0.163901 | − | 0.225590i | ||||
\(184\) | 164496. | + | 506268.i | 0.358189 | + | 1.10239i | ||||
\(185\) | 210199. | − | 135555.i | 0.451545 | − | 0.291196i | ||||
\(186\) | −193133. | + | 594401.i | −0.409330 | + | 1.25979i | ||||
\(187\) | 1531.32 | − | 497.555i | 0.00320229 | − | 0.00104049i | ||||
\(188\) | −137271. | + | 44602.1i | −0.283260 | + | 0.0920366i | ||||
\(189\) | −5316.85 | + | 16363.6i | −0.0108268 | + | 0.0333215i | ||||
\(190\) | 328350. | − | 211748.i | 0.659861 | − | 0.425536i | ||||
\(191\) | −234900. | − | 722948.i | −0.465907 | − | 1.43392i | −0.857838 | − | 0.513920i | \(-0.828193\pi\) |
0.391930 | − | 0.919995i | \(-0.371807\pi\) | |||||||
\(192\) | 57909.4 | + | 79705.4i | 0.113369 | + | 0.156040i | ||||
\(193\) | − | 198105.i | − | 0.382827i | −0.981509 | − | 0.191414i | \(-0.938693\pi\) | ||
0.981509 | − | 0.191414i | \(-0.0613072\pi\) | |||||||
\(194\) | 142363. | − | 103433.i | 0.271577 | − | 0.197313i | ||||
\(195\) | 7435.93 | − | 133732.i | 0.0140039 | − | 0.251854i | ||||
\(196\) | 170242. | + | 123688.i | 0.316539 | + | 0.229979i | ||||
\(197\) | 99279.6 | − | 136647.i | 0.182261 | − | 0.250861i | −0.708104 | − | 0.706108i | \(-0.750449\pi\) |
0.890365 | + | 0.455247i | \(0.150449\pi\) | |||||||
\(198\) | −184147. | − | 59833.0i | −0.333812 | − | 0.108462i | ||||
\(199\) | 809878. | 1.44973 | 0.724865 | − | 0.688891i | \(-0.241902\pi\) | ||||
0.724865 | + | 0.688891i | \(0.241902\pi\) | |||||||
\(200\) | 363583. | + | 164662.i | 0.642731 | + | 0.291084i | ||||
\(201\) | 253240. | 0.442123 | ||||||||
\(202\) | −52047.8 | − | 16911.4i | −0.0897478 | − | 0.0291608i | ||||
\(203\) | 36111.9 | − | 49703.7i | 0.0615049 | − | 0.0846543i | ||||
\(204\) | −425.800 | − | 309.362i | −0.000716358 | − | 0.000520464i | ||||
\(205\) | 185993. | + | 288412.i | 0.309109 | + | 0.479323i | ||||
\(206\) | 619817. | − | 450324.i | 1.01764 | − | 0.739361i | ||||
\(207\) | − | 337592.i | − | 0.547604i | ||||||
\(208\) | 198837. | + | 273676.i | 0.318669 | + | 0.438610i | ||||
\(209\) | 114856. | + | 353491.i | 0.181882 | + | 0.559774i | ||||
\(210\) | −61709.7 | − | 50297.9i | −0.0965618 | − | 0.0787049i | ||||
\(211\) | −84500.5 | + | 260066.i | −0.130663 | + | 0.402140i | −0.994890 | − | 0.100962i | \(-0.967808\pi\) |
0.864227 | + | 0.503102i | \(0.167808\pi\) | |||||||
\(212\) | −228152. | + | 74131.0i | −0.348645 | + | 0.113282i | ||||
\(213\) | −197841. | + | 64282.4i | −0.298790 | + | 0.0970829i | ||||
\(214\) | 127125. | − | 391249.i | 0.189756 | − | 0.584009i | ||||
\(215\) | −172783. | − | 653151.i | −0.254920 | − | 0.963646i | ||||
\(216\) | −28772.4 | − | 88552.4i | −0.0419606 | − | 0.129142i | ||||
\(217\) | −143691. | − | 197774.i | −0.207148 | − | 0.285115i | ||||
\(218\) | − | 975430.i | − | 1.39013i | ||||||
\(219\) | −24471.3 | + | 17779.4i | −0.0344783 | + | 0.0250500i | ||||
\(220\) | 163068. | − | 200065.i | 0.227149 | − | 0.278685i | ||||
\(221\) | 972.621 | + | 706.651i | 0.00133956 | + | 0.000973250i | ||||
\(222\) | 158688. | − | 218415.i | 0.216103 | − | 0.297440i | ||||
\(223\) | 864602. | + | 280926.i | 1.16427 | + | 0.378294i | 0.826501 | − | 0.562935i | \(-0.190328\pi\) |
0.337769 | + | 0.941229i | \(0.390328\pi\) | |||||||
\(224\) | 104608. | 0.139298 | ||||||||
\(225\) | −187025. | − | 170569.i | −0.246289 | − | 0.224618i | ||||
\(226\) | −965024. | −1.25680 | ||||||||
\(227\) | −1.26759e6 | − | 411864.i | −1.63272 | − | 0.530504i | −0.657829 | − | 0.753167i | \(-0.728525\pi\) |
−0.974896 | + | 0.222663i | \(0.928525\pi\) | |||||||
\(228\) | 71413.4 | − | 98292.1i | 0.0909793 | − | 0.125222i | ||||
\(229\) | 764496. | + | 555439.i | 0.963355 | + | 0.699919i | 0.953928 | − | 0.300037i | \(-0.0969990\pi\) |
0.00942773 | + | 0.999956i | \(0.496999\pi\) | |||||||
\(230\) | 1.45651e6 | + | 564433.i | 1.81549 | + | 0.703547i | ||||
\(231\) | 61271.0 | − | 44516.0i | 0.0755484 | − | 0.0548891i | ||||
\(232\) | 332471.i | 0.405540i | ||||||||
\(233\) | 834933. | + | 1.14919e6i | 1.00754 | + | 1.38676i | 0.920583 | + | 0.390546i | \(0.127714\pi\) |
0.0869557 | + | 0.996212i | \(0.472286\pi\) | |||||||
\(234\) | −44675.4 | − | 137497.i | −0.0533370 | − | 0.164155i | ||||
\(235\) | 225143. | − | 580977.i | 0.265943 | − | 0.686261i | ||||
\(236\) | −197205. | + | 606935.i | −0.230482 | + | 0.709352i | ||||
\(237\) | 374600. | − | 121715.i | 0.433208 | − | 0.140758i | ||||
\(238\) | 679.614 | − | 220.820i | 0.000777714 | − | 0.000252694i | ||||
\(239\) | 54693.4 | − | 168329.i | 0.0619356 | − | 0.190618i | −0.915301 | − | 0.402770i | \(-0.868047\pi\) |
0.977237 | + | 0.212152i | \(0.0680473\pi\) | |||||||
\(240\) | 638320. | + | 35492.7i | 0.715337 | + | 0.0397750i | ||||
\(241\) | −232023. | − | 714095.i | −0.257329 | − | 0.791978i | −0.993362 | − | 0.115032i | \(-0.963303\pi\) |
0.736033 | − | 0.676946i | \(-0.236697\pi\) | |||||||
\(242\) | −133706. | − | 184031.i | −0.146762 | − | 0.202000i | ||||
\(243\) | 59049.0i | 0.0641500i | ||||||||
\(244\) | 147049. | − | 106838.i | 0.158121 | − | 0.114881i | ||||
\(245\) | −878192. | + | 232314.i | −0.934704 | + | 0.247264i | ||||
\(246\) | 299685. | + | 217734.i | 0.315738 | + | 0.229397i | ||||
\(247\) | −163124. | + | 224521.i | −0.170128 | + | 0.234161i | ||||
\(248\) | 1.25817e6 | + | 408805.i | 1.29901 | + | 0.422073i | ||||
\(249\) | 85846.0 | 0.0877449 | ||||||||
\(250\) | 1.04860e6 | − | 521723.i | 1.06111 | − | 0.527947i | ||||
\(251\) | 564356. | 0.565417 | 0.282708 | − | 0.959206i | \(-0.408767\pi\) | ||||
0.282708 | + | 0.959206i | \(0.408767\pi\) | |||||||
\(252\) | −23544.7 | − | 7650.13i | −0.0233556 | − | 0.00758871i | ||||
\(253\) | −873448. | + | 1.20220e6i | −0.857898 | + | 1.18079i | ||||
\(254\) | −1.22703e6 | − | 891486.i | −1.19335 | − | 0.867022i | ||||
\(255\) | 2196.48 | − | 581.051i | 0.00211533 | − | 0.000559582i | ||||
\(256\) | −883973. | + | 642244.i | −0.843023 | + | 0.612492i | ||||
\(257\) | − | 617482.i | − | 0.583165i | −0.956546 | − | 0.291582i | \(-0.905818\pi\) | ||
0.956546 | − | 0.291582i | \(-0.0941817\pi\) | |||||||
\(258\) | −428648. | − | 589983.i | −0.400914 | − | 0.551811i | ||||
\(259\) | 32632.1 | + | 100431.i | 0.0302271 | + | 0.0930294i | ||||
\(260\) | 192420. | + | 10699.2i | 0.176529 | + | 0.00981560i | ||||
\(261\) | 65156.0 | − | 200529.i | 0.0592043 | − | 0.182212i | ||||
\(262\) | −2.39271e6 | + | 777437.i | −2.15346 | + | 0.699700i | ||||
\(263\) | −1.78445e6 | + | 579802.i | −1.59080 | + | 0.516881i | −0.964809 | − | 0.262953i | \(-0.915304\pi\) |
−0.625987 | + | 0.779834i | \(0.715304\pi\) | |||||||
\(264\) | −126649. | + | 389786.i | −0.111839 | + | 0.344204i | ||||
\(265\) | 374198. | − | 965613.i | 0.327331 | − | 0.844673i | ||||
\(266\) | 50974.3 | + | 156883.i | 0.0441720 | + | 0.135948i | ||||
\(267\) | −476331. | − | 655613.i | −0.408913 | − | 0.562820i | ||||
\(268\) | 364374.i | 0.309892i | ||||||||
\(269\) | −1.19954e6 | + | 871520.i | −1.01073 | + | 0.734339i | −0.964362 | − | 0.264585i | \(-0.914765\pi\) |
−0.0463686 | + | 0.998924i | \(0.514765\pi\) | |||||||
\(270\) | −254761. | − | 98726.2i | −0.212679 | − | 0.0824182i | ||||
\(271\) | −1.16350e6 | − | 845335.i | −0.962376 | − | 0.699207i | −0.00867457 | − | 0.999962i | \(-0.502761\pi\) |
−0.953701 | + | 0.300755i | \(0.902761\pi\) | |||||||
\(272\) | −3372.94 | + | 4642.45i | −0.00276430 | + | 0.00380474i | ||||
\(273\) | 53781.3 | + | 17474.6i | 0.0436742 | + | 0.0141906i | ||||
\(274\) | 543494. | 0.437339 | ||||||||
\(275\) | 224704. | + | 1.09130e6i | 0.179176 | + | 0.870186i | ||||
\(276\) | 485744. | 0.383826 | ||||||||
\(277\) | −816123. | − | 265174.i | −0.639081 | − | 0.207650i | −0.0284876 | − | 0.999594i | \(-0.509069\pi\) |
−0.610594 | + | 0.791944i | \(0.709069\pi\) | |||||||
\(278\) | −911861. | + | 1.25507e6i | −0.707647 | + | 0.973992i | ||||
\(279\) | −678751. | − | 493141.i | −0.522035 | − | 0.379281i | ||||
\(280\) | −106466. | + | 130621.i | −0.0811552 | + | 0.0995679i | ||||
\(281\) | −1.86488e6 | + | 1.35492e6i | −1.40892 | + | 1.02364i | −0.415440 | + | 0.909621i | \(0.636372\pi\) |
−0.993479 | + | 0.114019i | \(0.963628\pi\) | |||||||
\(282\) | − | 672545.i | − | 0.503615i | ||||||
\(283\) | 1.01613e6 | + | 1.39859e6i | 0.754196 | + | 1.03806i | 0.997675 | + | 0.0681553i | \(0.0217113\pi\) |
−0.243479 | + | 0.969906i | \(0.578289\pi\) | |||||||
\(284\) | −92492.5 | − | 284663.i | −0.0680472 | − | 0.209428i | ||||
\(285\) | 134131. | + | 507039.i | 0.0978173 | + | 0.369768i | ||||
\(286\) | −196650. | + | 605226.i | −0.142160 | + | 0.437525i | ||||
\(287\) | −137801. | + | 44774.2i | −0.0987523 | + | 0.0320866i | ||||
\(288\) | 341437. | − | 110940.i | 0.242566 | − | 0.0788143i | ||||
\(289\) | 438754. | − | 1.35034e6i | 0.309013 | − | 0.951043i | ||||
\(290\) | 756229. | + | 616382.i | 0.528030 | + | 0.430383i | ||||
\(291\) | 72996.5 | + | 224660.i | 0.0505324 | + | 0.155523i | ||||
\(292\) | −25581.9 | − | 35210.4i | −0.0175580 | − | 0.0241665i | ||||
\(293\) | − | 713965.i | − | 0.485856i | −0.970044 | − | 0.242928i | \(-0.921892\pi\) | ||
0.970044 | − | 0.242928i | \(-0.0781079\pi\) | |||||||
\(294\) | −793260. | + | 576337.i | −0.535238 | + | 0.388873i | ||||
\(295\) | −1.49305e6 | − | 2.31521e6i | −0.998893 | − | 1.54894i | ||||
\(296\) | −462320. | − | 335895.i | −0.306700 | − | 0.222830i | ||||
\(297\) | 152777. | − | 210279.i | 0.100500 | − | 0.138326i | ||||
\(298\) | 1.48084e6 | + | 481155.i | 0.965980 | + | 0.313866i | ||||
\(299\) | −1.10955e6 | −0.717741 | ||||||||
\(300\) | 245423. | − | 269101.i | 0.157439 | − | 0.172628i | ||||
\(301\) | 285247. | 0.181470 | ||||||||
\(302\) | 1.82640e6 | + | 593433.i | 1.15233 | + | 0.374416i | ||||
\(303\) | 43181.1 | − | 59433.7i | 0.0270201 | − | 0.0371900i | ||||
\(304\) | −1.07167e6 | − | 778613.i | −0.665084 | − | 0.483212i | ||||
\(305\) | −43561.5 | + | 783435.i | −0.0268135 | + | 0.482229i | ||||
\(306\) | 1984.06 | − | 1441.50i | 0.00121130 | − | 0.000880058i | ||||
\(307\) | − | 2.88457e6i | − | 1.74677i | −0.487033 | − | 0.873383i | \(-0.661921\pi\) | ||
0.487033 | − | 0.873383i | \(-0.338079\pi\) | |||||||
\(308\) | 64051.7 | + | 88159.6i | 0.0384728 | + | 0.0529533i | ||||
\(309\) | 317810. | + | 978119.i | 0.189353 | + | 0.582768i | ||||
\(310\) | 3.26244e6 | − | 2.10391e6i | 1.92814 | − | 1.24343i | ||||
\(311\) | −651829. | + | 2.00612e6i | −0.382149 | + | 1.17613i | 0.556379 | + | 0.830929i | \(0.312190\pi\) |
−0.938528 | + | 0.345204i | \(0.887810\pi\) | |||||||
\(312\) | −291041. | + | 94564.8i | −0.169265 | + | 0.0549975i | ||||
\(313\) | 123219. | − | 40036.1i | 0.0710911 | − | 0.0230989i | −0.273256 | − | 0.961941i | \(-0.588100\pi\) |
0.344347 | + | 0.938843i | \(0.388100\pi\) | |||||||
\(314\) | −157549. | + | 484887.i | −0.0901763 | + | 0.277534i | ||||
\(315\) | 89813.5 | − | 57919.5i | 0.0509994 | − | 0.0328889i | ||||
\(316\) | 175129. | + | 538991.i | 0.0986598 | + | 0.303644i | ||||
\(317\) | −157324. | − | 216538.i | −0.0879320 | − | 0.121028i | 0.762785 | − | 0.646653i | \(-0.223832\pi\) |
−0.850717 | + | 0.525625i | \(0.823832\pi\) | |||||||
\(318\) | − | 1.11780e6i | − | 0.619866i | ||||||
\(319\) | −750853. | + | 545527.i | −0.413122 | + | 0.300151i | ||||
\(320\) | 33973.7 | − | 611001.i | 0.0185467 | − | 0.333555i | ||||
\(321\) | 446770. | + | 324598.i | 0.242004 | + | 0.175826i | ||||
\(322\) | −387645. | + | 533547.i | −0.208350 | + | 0.286770i | ||||
\(323\) | −4477.30 | − | 1454.76i | −0.00238786 | − | 0.000775864i | ||||
\(324\) | −84962.5 | −0.0449640 | ||||||||
\(325\) | −560600. | + | 614687.i | −0.294405 | + | 0.322809i | ||||
\(326\) | 357266. | 0.186187 | ||||||||
\(327\) | 1.24532e6 | + | 404630.i | 0.644040 | + | 0.209261i | ||||
\(328\) | 460879. | − | 634345.i | 0.236539 | − | 0.325567i | ||||
\(329\) | 212823. | + | 154625.i | 0.108400 | + | 0.0787570i | ||||
\(330\) | 651796. | + | 1.01071e6i | 0.329478 | + | 0.510908i | ||||
\(331\) | 2.93640e6 | − | 2.13342e6i | 1.47315 | − | 1.07030i | 0.493459 | − | 0.869769i | \(-0.335732\pi\) |
0.979687 | − | 0.200534i | \(-0.0642677\pi\) | |||||||
\(332\) | 123519.i | 0.0615020i | ||||||||
\(333\) | 213021. | + | 293198.i | 0.105272 | + | 0.144894i | ||||
\(334\) | −188316. | − | 579576.i | −0.0923677 | − | 0.284279i | ||||
\(335\) | −1.21925e6 | − | 993780.i | −0.593583 | − | 0.483814i | ||||
\(336\) | −83408.6 | + | 256705.i | −0.0403053 | + | 0.124047i | ||||
\(337\) | 3.19478e6 | − | 1.03805e6i | 1.53238 | − | 0.497900i | 0.583118 | − | 0.812387i | \(-0.301832\pi\) |
0.949262 | + | 0.314487i | \(0.101832\pi\) | |||||||
\(338\) | 1.91558e6 | − | 622408.i | 0.912027 | − | 0.296335i | ||||
\(339\) | 400313. | − | 1.23204e6i | 0.189191 | − | 0.582271i | ||||
\(340\) | 836.044 | + | 3160.40i | 0.000392222 | + | 0.00148267i | ||||
\(341\) | 1.14120e6 | + | 3.51224e6i | 0.531465 | + | 1.63568i | ||||
\(342\) | 332758. | + | 458002.i | 0.153838 | + | 0.211739i | ||||
\(343\) | − | 780203.i | − | 0.358073i | ||||||
\(344\) | −1.24882e6 | + | 907322.i | −0.568990 | + | 0.413395i | ||||
\(345\) | −1.32480e6 | + | 1.62537e6i | −0.599242 | + | 0.735201i | ||||
\(346\) | −3.62771e6 | − | 2.63569e6i | −1.62908 | − | 1.18360i | ||||
\(347\) | 2.42774e6 | − | 3.34150e6i | 1.08238 | − | 1.48977i | 0.225502 | − | 0.974243i | \(-0.427598\pi\) |
0.856876 | − | 0.515522i | \(-0.172402\pi\) | |||||||
\(348\) | 288531. | + | 93749.5i | 0.127716 | + | 0.0414974i | ||||
\(349\) | 2.62110e6 | 1.15191 | 0.575957 | − | 0.817480i | \(-0.304629\pi\) | ||||
0.575957 | + | 0.817480i | \(0.304629\pi\) | |||||||
\(350\) | 99726.0 | + | 484330.i | 0.0435149 | + | 0.211335i | ||||
\(351\) | 194073. | 0.0840810 | ||||||||
\(352\) | −1.50292e6 | − | 488328.i | −0.646516 | − | 0.210066i | ||||
\(353\) | −1.02124e6 | + | 1.40562e6i | −0.436205 | + | 0.600385i | −0.969363 | − | 0.245631i | \(-0.921005\pi\) |
0.533158 | + | 0.846015i | \(0.321005\pi\) | |||||||
\(354\) | −2.40570e6 | − | 1.74784e6i | −1.02031 | − | 0.741301i | ||||
\(355\) | 1.20479e6 | + | 466884.i | 0.507387 | + | 0.196625i | ||||
\(356\) | 943327. | − | 685367.i | 0.394491 | − | 0.286615i | ||||
\(357\) | 959.258i | 0.000398350i | ||||||||
\(358\) | 2.30734e6 | + | 3.17578e6i | 0.951490 | + | 1.30961i | ||||
\(359\) | 504648. | + | 1.55315e6i | 0.206658 | + | 0.636028i | 0.999641 | + | 0.0267847i | \(0.00852685\pi\) |
−0.792983 | + | 0.609244i | \(0.791473\pi\) | |||||||
\(360\) | −208975. | + | 539256.i | −0.0849840 | + | 0.219300i | ||||
\(361\) | −429338. | + | 1.32137e6i | −0.173393 | + | 0.533648i | ||||
\(362\) | 2.30534e6 | − | 749050.i | 0.924620 | − | 0.300427i | ||||
\(363\) | 290415. | − | 94361.5i | 0.115678 | − | 0.0375862i | ||||
\(364\) | −25143.3 | + | 77383.1i | −0.00994646 | + | 0.0306121i | ||||
\(365\) | 187591. | + | 10430.6i | 0.0737020 | + | 0.00409807i | ||||
\(366\) | 261720. | + | 805490.i | 0.102125 | + | 0.314309i | ||||
\(367\) | 1.41443e6 | + | 1.94679e6i | 0.548170 | + | 0.754492i | 0.989763 | − | 0.142724i | \(-0.0455862\pi\) |
−0.441592 | + | 0.897216i | \(0.645586\pi\) | |||||||
\(368\) | − | 5.29601e6i | − | 2.03859i | ||||||
\(369\) | −402294. | + | 292284.i | −0.153808 | + | 0.111748i | ||||
\(370\) | −1.62113e6 | + | 428850.i | −0.615622 | + | 0.162855i | ||||
\(371\) | 353722. | + | 256994.i | 0.133422 | + | 0.0969368i | ||||
\(372\) | 709555. | − | 976618.i | 0.265845 | − | 0.365904i | ||||
\(373\) | 1.22030e6 | + | 396501.i | 0.454147 | + | 0.147561i | 0.527153 | − | 0.849770i | \(-0.323259\pi\) |
−0.0730066 | + | 0.997331i | \(0.523259\pi\) | |||||||
\(374\) | −10795.0 | −0.00399064 | ||||||||
\(375\) | 231098. | + | 1.55516e6i | 0.0848628 | + | 0.571079i | ||||
\(376\) | −1.42358e6 | −0.519293 | ||||||||
\(377\) | −659070. | − | 214145.i | −0.238824 | − | 0.0775986i | ||||
\(378\) | 67803.8 | − | 93323.9i | 0.0244076 | − | 0.0335941i | ||||
\(379\) | −326439. | − | 237172.i | −0.116736 | − | 0.0848134i | 0.527886 | − | 0.849315i | \(-0.322985\pi\) |
−0.644621 | + | 0.764502i | \(0.722985\pi\) | |||||||
\(380\) | −729551. | + | 192993.i | −0.259177 | + | 0.0685620i | ||||
\(381\) | 1.64715e6 | − | 1.19672e6i | 0.581327 | − | 0.422359i | ||||
\(382\) | 5.09640e6i | 1.78692i | ||||||||
\(383\) | −1.12144e6 | − | 1.54353e6i | −0.390642 | − | 0.537673i | 0.567722 | − | 0.823220i | \(-0.307825\pi\) |
−0.958365 | + | 0.285547i | \(0.907825\pi\) | |||||||
\(384\) | −598567. | − | 1.84220e6i | −0.207150 | − | 0.637542i | ||||
\(385\) | −469688. | − | 26116.2i | −0.161495 | − | 0.00897962i | ||||
\(386\) | −410432. | + | 1.26318e6i | −0.140208 | + | 0.431517i | ||||
\(387\) | 931039. | − | 302513.i | 0.316002 | − | 0.102675i | ||||
\(388\) | −323252. | + | 105031.i | −0.109009 | + | 0.0354191i | ||||
\(389\) | −357528. | + | 1.10036e6i | −0.119794 | + | 0.368689i | −0.992917 | − | 0.118812i | \(-0.962091\pi\) |
0.873122 | + | 0.487501i | \(0.162091\pi\) | |||||||
\(390\) | −324478. | + | 837311.i | −0.108025 | + | 0.278757i | ||||
\(391\) | −5816.18 | − | 17900.4i | −0.00192396 | − | 0.00592134i | ||||
\(392\) | 1.21994e6 | + | 1.67910e6i | 0.400980 | + | 0.551901i | ||||
\(393\) | − | 3.37724e6i | − | 1.10301i | ||||||
\(394\) | −916140. | + | 665615.i | −0.297318 | + | 0.216014i | ||||
\(395\) | −2.28119e6 | − | 884016.i | −0.735646 | − | 0.285081i | ||||
\(396\) | 302559. | + | 219822.i | 0.0969555 | + | 0.0704423i | ||||
\(397\) | −2.95386e6 | + | 4.06563e6i | −0.940617 | + | 1.29465i | 0.0149538 | + | 0.999888i | \(0.495240\pi\) |
−0.955571 | + | 0.294761i | \(0.904760\pi\) | |||||||
\(398\) | −5.16403e6 | − | 1.67790e6i | −1.63411 | − | 0.530954i | ||||
\(399\) | −221436. | −0.0696332 | ||||||||
\(400\) | −2.93398e6 | − | 2.67582e6i | −0.916868 | − | 0.836193i | ||||
\(401\) | 5.58145e6 | 1.73335 | 0.866674 | − | 0.498874i | \(-0.166253\pi\) | ||||
0.866674 | + | 0.498874i | \(0.166253\pi\) | |||||||
\(402\) | −1.61474e6 | − | 524660.i | −0.498353 | − | 0.161925i | ||||
\(403\) | −1.62078e6 | + | 2.23081e6i | −0.497121 | + | 0.684228i | ||||
\(404\) | 85516.1 | + | 62131.1i | 0.0260672 | + | 0.0189389i | ||||
\(405\) | 231723. | − | 284298.i | 0.0701993 | − | 0.0861263i | ||||
\(406\) | −333236. | + | 242110.i | −0.100331 | + | 0.0728951i | ||||
\(407\) | − | 1.59525e6i | − | 0.477357i | ||||||
\(408\) | −3051.24 | − | 4199.67i | −0.000907456 | − | 0.00124901i | ||||
\(409\) | −569380. | − | 1.75237e6i | −0.168304 | − | 0.517986i | 0.830961 | − | 0.556331i | \(-0.187791\pi\) |
−0.999265 | + | 0.0383453i | \(0.987791\pi\) | |||||||
\(410\) | −588421. | − | 2.22434e6i | −0.172874 | − | 0.653494i | ||||
\(411\) | −225453. | + | 693874.i | −0.0658343 | + | 0.202617i | ||||
\(412\) | −1.40736e6 | + | 457280.i | −0.408473 | + | 0.132721i | ||||
\(413\) | 1.10619e6 | − | 359423.i | 0.319120 | − | 0.103688i | ||||
\(414\) | −699420. | + | 2.15259e6i | −0.200557 | + | 0.617250i | ||||
\(415\) | −413315. | − | 336882.i | −0.117804 | − | 0.0960190i | ||||
\(416\) | −364619. | − | 1.12218e6i | −0.103301 | − | 0.317929i | ||||
\(417\) | −1.22407e6 | − | 1.68479e6i | −0.344721 | − | 0.474468i | ||||
\(418\) | − | 2.49192e6i | − | 0.697580i | ||||||
\(419\) | 970920. | − | 705415.i | 0.270177 | − | 0.196295i | −0.444445 | − | 0.895806i | \(-0.646599\pi\) |
0.714622 | + | 0.699511i | \(0.246599\pi\) | |||||||
\(420\) | 83337.4 | + | 129228.i | 0.0230524 | + | 0.0357464i | ||||
\(421\) | 1.60016e6 | + | 1.16258e6i | 0.440005 | + | 0.319682i | 0.785637 | − | 0.618688i | \(-0.212336\pi\) |
−0.345632 | + | 0.938370i | \(0.612336\pi\) | |||||||
\(422\) | 1.07760e6 | − | 1.48319e6i | 0.294563 | − | 0.405431i | ||||
\(423\) | 858632. | + | 278986.i | 0.233322 | + | 0.0758110i | ||||
\(424\) | −2.36607e6 | −0.639164 | ||||||||
\(425\) | −12855.4 | − | 5822.03i | −0.00345234 | − | 0.00156352i | ||||
\(426\) | 1.39467e6 | 0.372348 | ||||||||
\(427\) | −315064. | − | 102371.i | −0.0836237 | − | 0.0271710i | ||||
\(428\) | −467046. | + | 642834.i | −0.123240 | + | 0.169625i | ||||
\(429\) | −691112. | − | 502123.i | −0.181303 | − | 0.131724i | ||||
\(430\) | −251475. | + | 4.52266e6i | −0.0655878 | + | 1.17957i | ||||
\(431\) | −1.09586e6 | + | 796187.i | −0.284159 | + | 0.206453i | −0.720729 | − | 0.693217i | \(-0.756193\pi\) |
0.436571 | + | 0.899670i | \(0.356193\pi\) | |||||||
\(432\) | 926337.i | 0.238814i | ||||||||
\(433\) | 2.57152e6 | + | 3.53940e6i | 0.659130 | + | 0.907214i | 0.999452 | − | 0.0330948i | \(-0.0105363\pi\) |
−0.340323 | + | 0.940309i | \(0.610536\pi\) | |||||||
\(434\) | 506474. | + | 1.55877e6i | 0.129072 | + | 0.397244i | ||||
\(435\) | −1.10063e6 | + | 709782.i | −0.278880 | + | 0.179846i | ||||
\(436\) | −582201. | + | 1.79183e6i | −0.146675 | + | 0.451420i | ||||
\(437\) | 4.13214e6 | − | 1.34261e6i | 1.03507 | − | 0.336316i | ||||
\(438\) | 192872. | − | 62667.8i | 0.0480378 | − | 0.0156084i | ||||
\(439\) | 1.93584e6 | − | 5.95791e6i | 0.479411 | − | 1.47548i | −0.360503 | − | 0.932758i | \(-0.617395\pi\) |
0.839915 | − | 0.542719i | \(-0.182605\pi\) | |||||||
\(440\) | 2.13939e6 | − | 1.37966e6i | 0.526814 | − | 0.339736i | ||||
\(441\) | −406743. | − | 1.25182e6i | −0.0995917 | − | 0.306512i | ||||
\(442\) | −4737.70 | − | 6520.89i | −0.00115349 | − | 0.00158764i | ||||
\(443\) | − | 1.70812e6i | − | 0.413532i | −0.978390 | − | 0.206766i | \(-0.933706\pi\) | ||
0.978390 | − | 0.206766i | \(-0.0662938\pi\) | |||||||
\(444\) | −421867. | + | 306504.i | −0.101559 | + | 0.0737869i | ||||
\(445\) | −279449. | + | 5.02577e6i | −0.0668963 | + | 1.20310i | ||||
\(446\) | −4.93095e6 | − | 3.58254e6i | −1.17380 | − | 0.852814i | ||||
\(447\) | −1.22857e6 | + | 1.69098e6i | −0.290825 | + | 0.400286i | ||||
\(448\) | 245719. | + | 79838.9i | 0.0578420 | + | 0.0187940i | ||||
\(449\) | 6.98874e6 | 1.63600 | 0.817999 | − | 0.575219i | \(-0.195083\pi\) | ||||
0.817999 | + | 0.575219i | \(0.195083\pi\) | |||||||
\(450\) | 839149. | + | 1.47508e6i | 0.195347 | + | 0.343387i | ||||
\(451\) | 2.18883e6 | 0.506723 | ||||||||
\(452\) | 1.77271e6 | + | 575990.i | 0.408124 | + | 0.132608i | ||||
\(453\) | −1.51526e6 | + | 2.08558e6i | −0.346930 | + | 0.477509i | ||||
\(454\) | 7.22923e6 | + | 5.25234e6i | 1.64609 | + | 1.19595i | ||||
\(455\) | −190361. | − | 295185.i | −0.0431072 | − | 0.0668446i | ||||
\(456\) | 969456. | − | 704351.i | 0.218331 | − | 0.158627i | ||||
\(457\) | 1.32555e6i | 0.296897i | 0.988920 | + | 0.148448i | \(0.0474279\pi\) | ||||
−0.988920 | + | 0.148448i | \(0.952572\pi\) | |||||||
\(458\) | −3.72391e6 | − | 5.12552e6i | −0.829537 | − | 1.14176i | ||||
\(459\) | 1017.32 | + | 3130.99i | 0.000225386 | + | 0.000693666i | ||||
\(460\) | −2.33867e6 | − | 1.90618e6i | −0.515316 | − | 0.420020i | ||||
\(461\) | −695306. | + | 2.13993e6i | −0.152378 | + | 0.468973i | −0.997886 | − | 0.0649911i | \(-0.979298\pi\) |
0.845507 | + | 0.533964i | \(0.179298\pi\) | |||||||
\(462\) | −482911. | + | 156907.i | −0.105260 | + | 0.0342009i | ||||
\(463\) | −2.20509e6 | + | 716477.i | −0.478050 | + | 0.155328i | −0.538124 | − | 0.842866i | \(-0.680867\pi\) |
0.0600731 | + | 0.998194i | \(0.480867\pi\) | |||||||
\(464\) | 1.02214e6 | − | 3.14583e6i | 0.220402 | − | 0.678328i | ||||
\(465\) | 1.33270e6 | + | 5.03787e6i | 0.285826 | + | 1.08048i | ||||
\(466\) | −2.94292e6 | − | 9.05737e6i | −0.627789 | − | 1.93214i | ||||
\(467\) | −3.24110e6 | − | 4.46099e6i | −0.687702 | − | 0.946540i | 0.312292 | − | 0.949986i | \(-0.398903\pi\) |
−0.999994 | + | 0.00344596i | \(0.998903\pi\) | |||||||
\(468\) | 279242.i | 0.0589340i | ||||||||
\(469\) | 537270. | − | 390349.i | 0.112787 | − | 0.0819448i | ||||
\(470\) | −2.63924e6 | + | 3.23804e6i | −0.551105 | + | 0.676141i | ||||
\(471\) | −553696. | − | 402284.i | −0.115006 | − | 0.0835565i | ||||
\(472\) | −3.69968e6 | + | 5.09217e6i | −0.764379 | + | 1.05208i | ||||
\(473\) | −4.09820e6 | − | 1.33159e6i | −0.842249 | − | 0.273663i | ||||
\(474\) | −2.64073e6 | −0.539856 | ||||||||
\(475\) | 1.34396e6 | − | 2.96756e6i | 0.273309 | − | 0.603483i | ||||
\(476\) | −1380.22 | −0.000279211 | ||||||||
\(477\) | 1.42709e6 | + | 463690.i | 0.287181 | + | 0.0933107i | ||||
\(478\) | −697484. | + | 960004.i | −0.139625 | + | 0.192178i | ||||
\(479\) | −2.81251e6 | − | 2.04341e6i | −0.560087 | − | 0.406927i | 0.271404 | − | 0.962466i | \(-0.412512\pi\) |
−0.831491 | + | 0.555539i | \(0.812512\pi\) | |||||||
\(480\) | −2.07924e6 | − | 805756.i | −0.411909 | − | 0.159625i | ||||
\(481\) | 963639. | − | 700125.i | 0.189912 | − | 0.137979i | ||||
\(482\) | 5.03399e6i | 0.986949i | ||||||||
\(483\) | −520371. | − | 716230.i | −0.101495 | − | 0.139696i | ||||
\(484\) | 135772. | + | 417863.i | 0.0263449 | + | 0.0810812i | ||||
\(485\) | 530175. | − | 1.36811e6i | 0.102345 | − | 0.264099i | ||||
\(486\) | 122337. | − | 376515.i | 0.0234946 | − | 0.0723088i | ||||
\(487\) | −6.52812e6 | + | 2.12112e6i | −1.24729 | + | 0.405268i | −0.856947 | − | 0.515404i | \(-0.827642\pi\) |
−0.390338 | + | 0.920671i | \(0.627642\pi\) | |||||||
\(488\) | 1.70499e6 | − | 553984.i | 0.324094 | − | 0.105305i | ||||
\(489\) | −148202. | + | 456119.i | −0.0280273 | + | 0.0862593i | ||||
\(490\) | 6.08093e6 | + | 338119.i | 1.14414 | + | 0.0636180i | ||||
\(491\) | 1.97282e6 | + | 6.07171e6i | 0.369303 | + | 1.13660i | 0.947242 | + | 0.320519i | \(0.103857\pi\) |
−0.577939 | + | 0.816080i | \(0.696143\pi\) | |||||||
\(492\) | −420552. | − | 578840.i | −0.0783261 | − | 0.107807i | ||||
\(493\) | − | 11755.3i | − | 0.00217830i | ||||||
\(494\) | 1.50529e6 | − | 1.09366e6i | 0.277525 | − | 0.201634i | ||||
\(495\) | −1.56075e6 | + | 412876.i | −0.286299 | + | 0.0757367i | ||||
\(496\) | −1.06480e7 | − | 7.73620e6i | −1.94340 | − | 1.41196i | ||||
\(497\) | −320649. | + | 441336.i | −0.0582290 | + | 0.0801453i | ||||
\(498\) | −547381. | − | 177855.i | −0.0989045 | − | 0.0321360i | ||||
\(499\) | 5.44905e6 | 0.979647 | 0.489823 | − | 0.871822i | \(-0.337061\pi\) | ||||
0.489823 | + | 0.871822i | \(0.337061\pi\) | |||||||
\(500\) | −2.23763e6 | + | 332514.i | −0.400280 | + | 0.0594819i | ||||
\(501\) | 818057. | 0.145609 | ||||||||
\(502\) | −3.59851e6 | − | 1.16923e6i | −0.637328 | − | 0.207080i | ||||
\(503\) | −2.22314e6 | + | 3.05989e6i | −0.391784 | + | 0.539245i | −0.958658 | − | 0.284560i | \(-0.908153\pi\) |
0.566874 | + | 0.823804i | \(0.308153\pi\) | |||||||
\(504\) | −197539. | − | 143521.i | −0.0346400 | − | 0.0251674i | ||||
\(505\) | −441134. | + | 116696.i | −0.0769736 | + | 0.0203624i | ||||
\(506\) | 8.06007e6 | − | 5.85598e6i | 1.39947 | − | 1.01677i | ||||
\(507\) | 2.70379e6i | 0.467146i | ||||||||
\(508\) | 1.72190e6 | + | 2.37000e6i | 0.296039 | + | 0.407463i | ||||
\(509\) | 1.68229e6 | + | 5.17757e6i | 0.287811 | + | 0.885791i | 0.985542 | + | 0.169431i | \(0.0541930\pi\) |
−0.697731 | + | 0.716360i | \(0.745807\pi\) | |||||||
\(510\) | −15209.3 | − | 845.685i | −0.00258930 | − | 0.000143974i | ||||
\(511\) | −24512.3 | + | 75441.0i | −0.00415271 | + | 0.0127807i | ||||
\(512\) | 417036. | − | 135503.i | 0.0703070 | − | 0.0228441i | ||||
\(513\) | −722762. | + | 234840.i | −0.121256 | + | 0.0393983i | ||||
\(514\) | −1.27929e6 | + | 3.93725e6i | −0.213581 | + | 0.657333i | ||||
\(515\) | 2.30826e6 | − | 5.95643e6i | 0.383501 | − | 0.989619i | ||||
\(516\) | 435270. | + | 1.33962e6i | 0.0719671 | + | 0.221492i | ||||
\(517\) | −2.33585e6 | − | 3.21502e6i | −0.384343 | − | 0.529002i | ||||
\(518\) | − | 707988.i | − | 0.115932i | ||||||
\(519\) | 4.86981e6 | − | 3.53812e6i | 0.793585 | − | 0.576573i | ||||
\(520\) | 1.77234e6 | + | 686826.i | 0.287435 | + | 0.111388i | ||||
\(521\) | −5.14351e6 | − | 3.73698e6i | −0.830167 | − | 0.603151i | 0.0894398 | − | 0.995992i | \(-0.471492\pi\) |
−0.919606 | + | 0.392841i | \(0.871492\pi\) | |||||||
\(522\) | −830909. | + | 1.14365e6i | −0.133468 | + | 0.183703i | ||||
\(523\) | −1.06088e7 | − | 3.44702e6i | −1.69595 | − | 0.551048i | −0.708053 | − | 0.706159i | \(-0.750426\pi\) |
−0.987897 | + | 0.155111i | \(0.950426\pi\) | |||||||
\(524\) | 4.85934e6 | 0.773123 | ||||||||
\(525\) | −659708. | − | 73591.3i | −0.104461 | − | 0.0116527i | ||||
\(526\) | 1.25794e7 | 1.98242 | ||||||||
\(527\) | −44485.9 | − | 14454.3i | −0.00697743 | − | 0.00226710i | ||||
\(528\) | 2.39670e6 | − | 3.29877e6i | 0.374135 | − | 0.514953i | ||||
\(529\) | 8.84601e6 | + | 6.42701e6i | 1.37439 | + | 0.998549i | ||||
\(530\) | −4.38655e6 | + | 5.38179e6i | −0.678318 | + | 0.832218i | ||||
\(531\) | 3.22939e6 | − | 2.34629e6i | 0.497033 | − | 0.361115i | ||||
\(532\) | − | 318613.i | − | 0.0488072i | ||||||
\(533\) | 960634. | + | 1.32220e6i | 0.146467 | + | 0.201595i | ||||
\(534\) | 1.67894e6 | + | 5.16725e6i | 0.254790 | + | 0.784163i | ||||
\(535\) | −877219. | − | 3.31605e6i | −0.132502 | − | 0.500884i | ||||
\(536\) | −1.11055e6 | + | 3.41793e6i | −0.166966 | + | 0.513868i | ||||
\(537\) | −5.01163e6 | + | 1.62838e6i | −0.749969 | + | 0.243680i | ||||
\(538\) | 9.45427e6 | − | 3.07188e6i | 1.40823 | − | 0.457560i | ||||
\(539\) | −1.79038e6 | + | 5.51022e6i | −0.265444 | + | 0.816953i | ||||
\(540\) | 409061. | + | 333415.i | 0.0603676 | + | 0.0492040i | ||||
\(541\) | −696546. | − | 2.14375e6i | −0.102319 | − | 0.314906i | 0.886773 | − | 0.462206i | \(-0.152942\pi\) |
−0.989092 | + | 0.147300i | \(0.952942\pi\) | |||||||
\(542\) | 5.66751e6 | + | 7.80065e6i | 0.828693 | + | 1.14060i | ||||
\(543\) | 3.25393e6i | 0.473596i | ||||||||
\(544\) | 16192.9 | − | 11764.8i | 0.00234600 | − | 0.00170447i | ||||
\(545\) | −4.40787e6 | − | 6.83510e6i | −0.635678 | − | 0.985721i | ||||
\(546\) | −306723. | − | 222847.i | −0.0440316 | − | 0.0319908i | ||||
\(547\) | −4.30556e6 | + | 5.92609e6i | −0.615263 | + | 0.846837i | −0.996997 | − | 0.0774349i | \(-0.975327\pi\) |
0.381734 | + | 0.924272i | \(0.375327\pi\) | |||||||
\(548\) | −998379. | − | 324393.i | −0.142018 | − | 0.0461445i | ||||
\(549\) | −1.13693e6 | −0.160991 | ||||||||
\(550\) | 828158. | − | 7.42400e6i | 0.116736 | − | 1.04648i | ||||
\(551\) | 2.71362e6 | 0.380776 | ||||||||
\(552\) | 4.55641e6 | + | 1.48047e6i | 0.636466 | + | 0.206800i | ||||
\(553\) | 607130. | − | 835643.i | 0.0844246 | − | 0.116200i | ||||
\(554\) | 4.65447e6 | + | 3.38167e6i | 0.644311 | + | 0.468119i | ||||
\(555\) | 124973. | − | 2.24758e6i | 0.0172220 | − | 0.309730i | ||||
\(556\) | 2.42416e6 | − | 1.76126e6i | 0.332563 | − | 0.241621i | ||||
\(557\) | 6.53496e6i | 0.892493i | 0.894910 | + | 0.446246i | \(0.147239\pi\) | ||||
−0.894910 | + | 0.446246i | \(0.852761\pi\) | |||||||
\(558\) | 3.30624e6 | + | 4.55065e6i | 0.449520 | + | 0.618711i | ||||
\(559\) | −994253. | − | 3.05999e6i | −0.134576 | − | 0.414182i | ||||
\(560\) | 1.40896e6 | − | 908618.i | 0.189858 | − | 0.122437i | ||||
\(561\) | 4477.99 | − | 13781.8i | 0.000600726 | − | 0.00184884i | ||||
\(562\) | 1.46982e7 | − | 4.77573e6i | 1.96301 | − | 0.637821i | ||||
\(563\) | −200607. | + | 65181.1i | −0.0266732 | + | 0.00866664i | −0.322323 | − | 0.946630i | \(-0.604464\pi\) |
0.295650 | + | 0.955296i | \(0.404464\pi\) | |||||||
\(564\) | −401419. | + | 1.23544e6i | −0.0531374 | + | 0.163540i | ||||
\(565\) | −6.76219e6 | + | 4.36085e6i | −0.891181 | + | 0.574711i | ||||
\(566\) | −3.58160e6 | − | 1.10230e7i | −0.469933 | − | 1.44630i | ||||
\(567\) | 91019.3 | + | 125277.i | 0.0118898 | + | 0.0163649i | ||||
\(568\) | − | 2.95212e6i | − | 0.383939i | ||||||
\(569\) | 8.67079e6 | − | 6.29970e6i | 1.12274 | − | 0.815716i | 0.138115 | − | 0.990416i | \(-0.455896\pi\) |
0.984622 | + | 0.174700i | \(0.0558956\pi\) | |||||||
\(570\) | 195219. | − | 3.51093e6i | 0.0251672 | − | 0.452621i | ||||
\(571\) | −3.10008e6 | − | 2.25234e6i | −0.397908 | − | 0.289097i | 0.370780 | − | 0.928721i | \(-0.379090\pi\) |
−0.768688 | + | 0.639624i | \(0.779090\pi\) | |||||||
\(572\) | 722478. | − | 994405.i | 0.0923282 | − | 0.127079i | ||||
\(573\) | −6.50653e6 | − | 2.11410e6i | −0.827871 | − | 0.268992i | ||||
\(574\) | 971424. | 0.123063 | ||||||||
\(575\) | 1.27568e7 | − | 2.62669e6i | 1.60906 | − | 0.331313i | ||||
\(576\) | 886692. | 0.111357 | ||||||||
\(577\) | −2.51482e6 | − | 817114.i | −0.314461 | − | 0.102175i | 0.147534 | − | 0.989057i | \(-0.452866\pi\) |
−0.461995 | + | 0.886882i | \(0.652866\pi\) | |||||||
\(578\) | −5.59526e6 | + | 7.70121e6i | −0.696627 | + | 0.958825i | ||||
\(579\) | −1.44244e6 | − | 1.04799e6i | −0.178813 | − | 0.129916i | ||||
\(580\) | −1.02127e6 | − | 1.58364e6i | −0.126058 | − | 0.195473i | ||||
\(581\) | 182129. | − | 132325.i | 0.0223841 | − | 0.0162630i | ||||
\(582\) | − | 1.58374e6i | − | 0.193810i | ||||||
\(583\) | −3.88230e6 | − | 5.34353e6i | −0.473062 | − | 0.651114i | ||||
\(584\) | −132649. | − | 408253.i | −0.0160943 | − | 0.0495333i | ||||
\(585\) | −934386. | − | 761593.i | −0.112885 | − | 0.0920097i | ||||
\(586\) | −1.47918e6 | + | 4.55246e6i | −0.177942 | + | 0.547649i | ||||
\(587\) | 472421. | − | 153499.i | 0.0565892 | − | 0.0183870i | −0.280586 | − | 0.959829i | \(-0.590529\pi\) |
0.337175 | + | 0.941442i | \(0.390529\pi\) | |||||||
\(588\) | 1.80118e6 | − | 585240.i | 0.214840 | − | 0.0698057i | ||||
\(589\) | 3.33666e6 | − | 1.02692e7i | 0.396299 | − | 1.21968i | ||||
\(590\) | 4.72352e6 | + | 1.78558e7i | 0.558644 | + | 2.11178i | ||||
\(591\) | −469749. | − | 1.44574e6i | −0.0553219 | − | 0.170263i | ||||
\(592\) | 3.34179e6 | + | 4.59957e6i | 0.391899 | + | 0.539403i | ||||
\(593\) | 8.71807e6i | 1.01808i | 0.860742 | + | 0.509042i | \(0.170000\pi\) | ||||
−0.860742 | + | 0.509042i | \(0.830000\pi\) | |||||||
\(594\) | −1.40980e6 | + | 1.02428e6i | −0.163943 | + | 0.119111i | ||||
\(595\) | 3764.37 | − | 4618.45i | 0.000435914 | − | 0.000534815i | ||||
\(596\) | −2.43307e6 | − | 1.76773e6i | −0.280568 | − | 0.203845i | ||||
\(597\) | 4.28431e6 | − | 5.89685e6i | 0.491977 | − | 0.677148i | ||||
\(598\) | 7.07481e6 | + | 2.29875e6i | 0.809025 | + | 0.262868i | ||||
\(599\) | −1.51097e7 | −1.72064 | −0.860318 | − | 0.509757i | \(-0.829735\pi\) | ||||
−0.860318 | + | 0.509757i | \(0.829735\pi\) | |||||||
\(600\) | 3.12231e6 | − | 1.77623e6i | 0.354077 | − | 0.201429i | ||||
\(601\) | 4.20197e6 | 0.474534 | 0.237267 | − | 0.971444i | \(-0.423748\pi\) | ||||
0.237267 | + | 0.971444i | \(0.423748\pi\) | |||||||
\(602\) | −1.81882e6 | − | 590971.i | −0.204550 | − | 0.0664622i | ||||
\(603\) | 1.33966e6 | − | 1.84388e6i | 0.150038 | − | 0.206509i | ||||
\(604\) | −3.00083e6 | − | 2.18023e6i | −0.334695 | − | 0.243170i | ||||
\(605\) | −1.76853e6 | − | 685349.i | −0.196438 | − | 0.0761243i | ||||
\(606\) | −398470. | + | 289506.i | −0.0440773 | + | 0.0320240i | ||||
\(607\) | − | 1.28146e6i | − | 0.141167i | −0.997506 | − | 0.0705837i | \(-0.977514\pi\) | ||
0.997506 | − | 0.0705837i | \(-0.0224862\pi\) | |||||||
\(608\) | 2.71581e6 | + | 3.73799e6i | 0.297948 | + | 0.410090i | ||||
\(609\) | −170866. | − | 525872.i | −0.0186687 | − | 0.0574562i | ||||
\(610\) | 1.90087e6 | − | 4.90517e6i | 0.206837 | − | 0.533740i | ||||
\(611\) | 916930. | − | 2.82202e6i | 0.0993649 | − | 0.305814i | ||||
\(612\) | −4505.02 | + | 1463.77i | −0.000486203 | + | 0.000157977i | ||||
\(613\) | −2.70609e6 | + | 879262.i | −0.290865 | + | 0.0945076i | −0.450815 | − | 0.892617i | \(-0.648867\pi\) |
0.159950 | + | 0.987125i | \(0.448867\pi\) | |||||||
\(614\) | −5.97621e6 | + | 1.83929e7i | −0.639743 | + | 1.96893i | ||||
\(615\) | 3.08389e6 | + | 171474.i | 0.328784 | + | 0.0182815i | ||||
\(616\) | 332127. | + | 1.02218e6i | 0.0352657 | + | 0.108537i | ||||
\(617\) | −8.86094e6 | − | 1.21960e7i | −0.937059 | − | 1.28975i | −0.957042 | − | 0.289951i | \(-0.906361\pi\) |
0.0199826 | − | 0.999800i | \(-0.493639\pi\) | |||||||
\(618\) | − | 6.89523e6i | − | 0.726235i | ||||||
\(619\) | 1.56722e6 | − | 1.13865e6i | 0.164400 | − | 0.119444i | −0.502543 | − | 0.864552i | \(-0.667602\pi\) |
0.666943 | + | 0.745108i | \(0.267602\pi\) | |||||||
\(620\) | −7.24873e6 | + | 1.91756e6i | −0.757326 | + | 0.200341i | ||||
\(621\) | −2.45806e6 | − | 1.78589e6i | −0.255778 | − | 0.185834i | ||||
\(622\) | 8.31252e6 | − | 1.14412e7i | 0.861503 | − | 1.18576i | ||||
\(623\) | −2.02115e6 | − | 656711.i | −0.208631 | − | 0.0677882i | ||||
\(624\) | 3.04454e6 | 0.313012 | ||||||||
\(625\) | 4.99020e6 | − | 8.39436e6i | 0.510996 | − | 0.859583i | ||||
\(626\) | −868626. | −0.0885925 | ||||||||
\(627\) | 3.18142e6 | + | 1.03371e6i | 0.323186 | + | 0.105009i | ||||
\(628\) | 578824. | − | 796684.i | 0.0585663 | − | 0.0806096i | ||||
\(629\) | 16346.5 | + | 11876.4i | 0.00164739 | + | 0.00119690i | ||||
\(630\) | −692675. | + | 183238.i | −0.0695310 | + | 0.0183935i | ||||
\(631\) | −4.52410e6 | + | 3.28695e6i | −0.452333 | + | 0.328639i | −0.790516 | − | 0.612441i | \(-0.790188\pi\) |
0.338183 | + | 0.941080i | \(0.390188\pi\) | |||||||
\(632\) | 5.58966e6i | 0.556663i | ||||||||
\(633\) | 1.44657e6 | + | 1.99103e6i | 0.143492 | + | 0.197500i | ||||
\(634\) | 554526. | + | 1.70665e6i | 0.0547897 | + | 0.168625i | ||||
\(635\) | −1.26266e7 | − | 702082.i | −1.24266 | − | 0.0690961i | ||||
\(636\) | −667179. | + | 2.05336e6i | −0.0654033 | + | 0.201291i | ||||
\(637\) | −4.11431e6 | + | 1.33682e6i | −0.401743 | + | 0.130534i | ||||
\(638\) | 5.91789e6 | − | 1.92284e6i | 0.575592 | − | 0.187021i | ||||
\(639\) | −578541. | + | 1.78057e6i | −0.0560508 | + | 0.172507i | ||||
\(640\) | −4.34740e6 | + | 1.12184e7i | −0.419546 | + | 1.08263i | ||||
\(641\) | 2.91810e6 | + | 8.98099e6i | 0.280514 | + | 0.863334i | 0.987707 | + | 0.156314i | \(0.0499611\pi\) |
−0.707193 | + | 0.707020i | \(0.750039\pi\) | |||||||
\(642\) | −2.17625e6 | − | 2.99535e6i | −0.208387 | − | 0.286820i | ||||
\(643\) | 1.17321e7i | 1.11905i | 0.828815 | + | 0.559523i | \(0.189016\pi\) | ||||
−0.828815 | + | 0.559523i | \(0.810984\pi\) | |||||||
\(644\) | 1.03054e6 | − | 748735.i | 0.0979157 | − | 0.0711399i | ||||
\(645\) | −5.66972e6 | − | 2.19715e6i | −0.536615 | − | 0.207951i | ||||
\(646\) | 25534.7 | + | 18552.0i | 0.00240740 | + | 0.00174908i | ||||
\(647\) | 1.77629e6 | − | 2.44485e6i | 0.166822 | − | 0.229610i | −0.717419 | − | 0.696642i | \(-0.754677\pi\) |
0.884241 | + | 0.467032i | \(0.154677\pi\) | |||||||
\(648\) | −796972. | − | 258952.i | −0.0745599 | − | 0.0242260i | ||||
\(649\) | −1.75707e7 | −1.63748 | ||||||||
\(650\) | 4.84806e6 | − | 2.75799e6i | 0.450075 | − | 0.256041i | ||||
\(651\) | −2.20016e6 | −0.203471 | ||||||||
\(652\) | −656285. | − | 213240.i | −0.0604608 | − | 0.0196449i | ||||
\(653\) | 8.65626e6 | − | 1.19143e7i | 0.794415 | − | 1.09342i | −0.199130 | − | 0.979973i | \(-0.563812\pi\) |
0.993544 | − | 0.113445i | \(-0.0361885\pi\) | |||||||
\(654\) | −7.10226e6 | − | 5.16009e6i | −0.649310 | − | 0.471751i | ||||
\(655\) | −1.32532e7 | + | 1.62601e7i | −1.20703 | + | 1.48088i | ||||
\(656\) | −6.31103e6 | + | 4.58523e6i | −0.572586 | + | 0.416008i | ||||
\(657\) | 272233.i | 0.0246053i | ||||||||
\(658\) | −1.03667e6 | − | 1.42686e6i | −0.0933420 | − | 0.128474i | ||||
\(659\) | −6.09576e6 | − | 1.87608e7i | −0.546782 | − | 1.68282i | −0.716715 | − | 0.697367i | \(-0.754355\pi\) |
0.169933 | − | 0.985456i | \(-0.445645\pi\) | |||||||
\(660\) | −594065. | − | 2.24568e6i | −0.0530853 | − | 0.200672i | ||||
\(661\) | −6.26237e6 | + | 1.92736e7i | −0.557487 | + | 1.71577i | 0.131795 | + | 0.991277i | \(0.457926\pi\) |
−0.689282 | + | 0.724493i | \(0.742074\pi\) | |||||||
\(662\) | −2.31434e7 | + | 7.51975e6i | −2.05250 | + | 0.666897i | ||||
\(663\) | 10290.5 | − | 3343.58i | 0.000909183 | − | 0.000295411i | ||||
\(664\) | −376467. | + | 1.15865e6i | −0.0331365 | + | 0.101984i | ||||
\(665\) | 1.06613e6 | + | 868973.i | 0.0934879 | + | 0.0761995i | ||||
\(666\) | −750843. | − | 2.31086e6i | −0.0655939 | − | 0.201877i | ||||
\(667\) | 6.37695e6 | + | 8.77712e6i | 0.555007 | + | 0.763902i | ||||
\(668\) | 1.17706e6i | 0.102060i | ||||||||
\(669\) | 6.61927e6 | − | 4.80918e6i | 0.571801 | − | 0.415437i | ||||
\(670\) | 5.71543e6 | + | 8.86268e6i | 0.491883 | + | 0.762743i | ||||
\(671\) | 4.04871e6 | + | 2.94156e6i | 0.347144 | + | 0.252215i | ||||
\(672\) | 553382. | − | 761665.i | 0.0472717 | − | 0.0650640i | ||||
\(673\) | −2.06365e7 | − | 6.70520e6i | −1.75630 | − | 0.570656i | −0.759491 | − | 0.650517i | \(-0.774552\pi\) |
−0.996806 | + | 0.0798619i | \(0.974552\pi\) | |||||||
\(674\) | −2.25215e7 | −1.90963 | ||||||||
\(675\) | −2.23132e6 | + | 459440.i | −0.188496 | + | 0.0388123i | ||||
\(676\) | −3.89034e6 | −0.327431 | ||||||||
\(677\) | −4.58473e6 | − | 1.48967e6i | −0.384452 | − | 0.124916i | 0.110413 | − | 0.993886i | \(-0.464783\pi\) |
−0.494865 | + | 0.868970i | \(0.664783\pi\) | |||||||
\(678\) | −5.10504e6 | + | 7.02649e6i | −0.426506 | + | 0.587035i | ||||
\(679\) | 501164. | + | 364117.i | 0.0417162 | + | 0.0303086i | ||||
\(680\) | −1790.07 | + | 32193.6i | −0.000148456 | + | 0.00266991i | ||||
\(681\) | −9.70446e6 | + | 7.05070e6i | −0.801869 | + | 0.582592i | ||||
\(682\) | − | 2.47595e7i | − | 2.03836i | ||||||
\(683\) | 1.12282e7 | + | 1.54543e7i | 0.920998 | + | 1.26765i | 0.963269 | + | 0.268539i | \(0.0865409\pi\) |
−0.0422703 | + | 0.999106i | \(0.513459\pi\) | |||||||
\(684\) | −337898. | − | 1.03994e6i | −0.0276150 | − | 0.0849904i | ||||
\(685\) | 3.80841e6 | − | 2.45600e6i | 0.310111 | − | 0.199987i | ||||
\(686\) | −1.61641e6 | + | 4.97481e6i | −0.131142 | + | 0.403614i | ||||
\(687\) | 8.08847e6 | − | 2.62810e6i | 0.653845 | − | 0.212447i | ||||
\(688\) | 1.46058e7 | − | 4.74570e6i | 1.17639 | − | 0.382234i | ||||
\(689\) | 1.52398e6 | − | 4.69034e6i | 0.122302 | − | 0.376406i | ||||
\(690\) | 1.18148e7 | − | 7.61919e6i | 0.944718 | − | 0.609237i | ||||
\(691\) | 4.67521e6 | + | 1.43888e7i | 0.372483 | + | 1.14638i | 0.945161 | + | 0.326604i | \(0.105904\pi\) |
−0.572678 | + | 0.819780i | \(0.694096\pi\) | |||||||
\(692\) | 5.09082e6 | + | 7.00691e6i | 0.404131 | + | 0.556239i | ||||
\(693\) | − | 681616.i | − | 0.0539147i | ||||||
\(694\) | −2.24029e7 | + | 1.62767e7i | −1.76565 | + | 1.28282i | ||||
\(695\) | −718128. | + | 1.29152e7i | −0.0563949 | + | 1.01424i | ||||
\(696\) | 2.42077e6 | + | 1.75879e6i | 0.189422 | + | 0.137623i | ||||
\(697\) | −16295.5 | + | 22428.8i | −0.00127053 | + | 0.00174874i | ||||
\(698\) | −1.67130e7 | − | 5.43037e6i | −1.29842 | − | 0.421882i | ||||
\(699\) | 1.27843e7 | 0.989652 | ||||||||
\(700\) | 105887. | − | 949219.i | 0.00816763 | − | 0.0732186i | ||||
\(701\) | 1.68307e7 | 1.29362 | 0.646812 | − | 0.762649i | \(-0.276102\pi\) | ||||
0.646812 | + | 0.762649i | \(0.276102\pi\) | |||||||
\(702\) | −1.23747e6 | − | 402079.i | −0.0947746 | − | 0.0307941i | ||||
\(703\) | −2.74157e6 | + | 3.77344e6i | −0.209223 | + | 0.287971i | ||||
\(704\) | −3.15759e6 | − | 2.29412e6i | −0.240118 | − | 0.174456i | ||||
\(705\) | −3.03916e6 | − | 4.71270e6i | −0.230293 | − | 0.357106i | ||||
\(706\) | 9.42387e6 | − | 6.84685e6i | 0.711570 | − | 0.516986i | ||||
\(707\) | − | 192654.i | − | 0.0144954i | ||||||
\(708\) | 3.37596e6 | + | 4.64660e6i | 0.253113 | + | 0.348380i | ||||
\(709\) | −924238. | − | 2.84451e6i | −0.0690507 | − | 0.212516i | 0.910577 | − | 0.413340i | \(-0.135638\pi\) |
−0.979627 | + | 0.200824i | \(0.935638\pi\) | |||||||
\(710\) | −6.71480e6 | − | 5.47306e6i | −0.499905 | − | 0.407459i | ||||
\(711\) | 1.09543e6 | − | 3.37140e6i | 0.0812665 | − | 0.250113i | ||||
\(712\) | 1.09376e7 | − | 3.55383e6i | 0.808575 | − | 0.262722i | ||||
\(713\) | 4.10565e7 | − | 1.33401e7i | 3.02453 | − | 0.982729i | ||||
\(714\) | 1987.38 | − | 6116.52i | 0.000145893 | − | 0.000449013i | ||||
\(715\) | 1.35698e6 | + | 5.12963e6i | 0.0992676 | + | 0.375250i | ||||
\(716\) | −2.34299e6 | − | 7.21097e6i | −0.170800 | − | 0.525667i | ||||
\(717\) | −936297. | − | 1.28870e6i | −0.0680167 | − | 0.0936170i | ||||
\(718\) | − | 1.09489e7i | − | 0.792607i | ||||||
\(719\) | 6.38522e6 | − | 4.63914e6i | 0.460632 | − | 0.334669i | −0.333147 | − | 0.942875i | \(-0.608111\pi\) |
0.793779 | + | 0.608206i | \(0.208111\pi\) | |||||||
\(720\) | 3.63518e6 | − | 4.45995e6i | 0.261334 | − | 0.320626i | ||||
\(721\) | 2.18195e6 | + | 1.58528e6i | 0.156317 | + | 0.113571i | ||||
\(722\) | 5.47518e6 | − | 7.53594e6i | 0.390891 | − | 0.538015i | ||||
\(723\) | −6.42685e6 | − | 2.08821e6i | −0.457249 | − | 0.148569i | ||||
\(724\) | −4.68190e6 | −0.331952 | ||||||||
\(725\) | 8.08447e6 | + | 901834.i | 0.571224 | + | 0.0637208i | ||||
\(726\) | −2.04727e6 | −0.144156 | ||||||||
\(727\) | 1.89701e7 | + | 6.16377e6i | 1.33117 | + | 0.432524i | 0.886317 | − | 0.463079i | \(-0.153255\pi\) |
0.444855 | + | 0.895603i | \(0.353255\pi\) | |||||||
\(728\) | −471702. | + | 649242.i | −0.0329867 | + | 0.0454024i | ||||
\(729\) | 429945. | + | 312373.i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | −1.17453e6 | − | 455157.i | −0.0815747 | − | 0.0316122i | ||||
\(731\) | 44155.2 | − | 32080.6i | 0.00305625 | − | 0.00222049i | ||||
\(732\) | − | 1.63587e6i | − | 0.112842i | ||||||
\(733\) | −5.06576e6 | − | 6.97242e6i | −0.348245 | − | 0.479318i | 0.598582 | − | 0.801062i | \(-0.295731\pi\) |
−0.946827 | + | 0.321744i | \(0.895731\pi\) | |||||||
\(734\) | −4.98548e6 | − | 1.53437e7i | −0.341560 | − | 1.05121i | ||||
\(735\) | −2.95418e6 | + | 7.62321e6i | −0.201706 | + | 0.520498i | ||||
\(736\) | −5.70833e6 | + | 1.75684e7i | −0.388432 | + | 1.19547i | ||||
\(737\) | −9.54129e6 | + | 3.10015e6i | −0.647051 | + | 0.210240i | ||||
\(738\) | 3.17070e6 | − | 1.03022e6i | 0.214296 | − | 0.0696291i | ||||
\(739\) | 3.19527e6 | − | 9.83403e6i | 0.215227 | − | 0.662400i | −0.783911 | − | 0.620874i | \(-0.786778\pi\) |
0.999137 | − | 0.0415264i | \(-0.0132221\pi\) | |||||||
\(740\) | 3.23393e6 | + | 179817.i | 0.217096 | + | 0.0120712i | ||||
\(741\) | 771835. | + | 2.37546e6i | 0.0516391 | + | 0.158929i | ||||
\(742\) | −1.72300e6 | − | 2.37151e6i | −0.114889 | − | 0.158130i | ||||
\(743\) | 1.05147e7i | 0.698753i | 0.936982 | + | 0.349377i | \(0.113607\pi\) | ||||
−0.936982 | + | 0.349377i | \(0.886393\pi\) | |||||||
\(744\) | 9.63240e6 | − | 6.99835e6i | 0.637973 | − | 0.463514i | ||||
\(745\) | 1.25510e7 | − | 3.32019e6i | 0.828488 | − | 0.219166i | ||||
\(746\) | −6.95957e6 | − | 5.05642e6i | −0.457863 | − | 0.332657i | ||||
\(747\) | 454131. | − | 625058.i | 0.0297769 | − | 0.0409844i | ||||
\(748\) | 19830.0 | + | 6443.15i | 0.00129589 | + | 0.000421060i | ||||
\(749\) | 1.44820e6 | 0.0943245 | ||||||||
\(750\) | 1.74841e6 | − | 1.03950e7i | 0.113498 | − | 0.674791i | ||||
\(751\) | 1.64943e7 | 1.06717 | 0.533584 | − | 0.845747i | \(-0.320845\pi\) | ||||
0.533584 | + | 0.845747i | \(0.320845\pi\) | |||||||
\(752\) | 1.34699e7 | + | 4.37663e6i | 0.868598 | + | 0.282225i | ||||
\(753\) | 2.98548e6 | − | 4.10916e6i | 0.191879 | − | 0.264098i | ||||
\(754\) | 3.75877e6 | + | 2.73091e6i | 0.240778 | + | 0.174936i | ||||
\(755\) | 1.54797e7 | − | 4.09497e6i | 0.988317 | − | 0.261447i | ||||
\(756\) | −180255. | + | 130963.i | −0.0114705 | + | 0.00833381i | ||||
\(757\) | − | 2.35077e7i | − | 1.49098i | −0.666520 | − | 0.745488i | \(-0.732217\pi\) | ||
0.666520 | − | 0.745488i | \(-0.267783\pi\) | |||||||
\(758\) | 1.59010e6 | + | 2.18859e6i | 0.100520 | + | 0.138354i | ||||
\(759\) | 4.13279e6 | + | 1.27194e7i | 0.260399 | + | 0.801424i | ||||
\(760\) | −7.43161e6 | − | 413221.i | −0.466712 | − | 0.0259507i | ||||
\(761\) | −6.01594e6 | + | 1.85151e7i | −0.376566 | + | 1.15895i | 0.565849 | + | 0.824509i | \(0.308548\pi\) |
−0.942416 | + | 0.334444i | \(0.891452\pi\) | |||||||
\(762\) | −1.29821e7 | + | 4.21814e6i | −0.809948 | + | 0.263168i | ||||
\(763\) | 3.26576e6 | − | 1.06111e6i | 0.203083 | − | 0.0659855i | ||||
\(764\) | 3.04187e6 | − | 9.36190e6i | 0.188541 | − | 0.580271i | ||||
\(765\) | 7388.82 | − | 19066.7i | 0.000456480 | − | 0.00117794i | ||||
\(766\) | 3.95278e6 | + | 1.21654e7i | 0.243406 | + | 0.749126i | ||||
\(767\) | −7.71144e6 | − | 1.06139e7i | −0.473311 | − | 0.651457i | ||||
\(768\) | 9.83386e6i | 0.601618i | ||||||||
\(769\) | −2.27139e7 | + | 1.65026e7i | −1.38509 | + | 1.00632i | −0.388702 | + | 0.921364i | \(0.627076\pi\) |
−0.996384 | + | 0.0849604i | \(0.972924\pi\) | |||||||
\(770\) | 2.94077e6 | + | 1.13962e6i | 0.178745 | + | 0.0692681i | ||||
\(771\) | −4.49598e6 | − | 3.26652e6i | −0.272388 | − | 0.197902i | ||||
\(772\) | 1.50790e6 | − | 2.07544e6i | 0.0910603 | − | 0.125334i | ||||
\(773\) | 1.05091e7 | + | 3.41461e6i | 0.632582 | + | 0.205538i | 0.607718 | − | 0.794153i | \(-0.292085\pi\) |
0.0248634 | + | 0.999691i | \(0.492085\pi\) | |||||||
\(774\) | −6.56333e6 | −0.393797 | ||||||||
\(775\) | 1.33535e7 | − | 2.94853e7i | 0.798619 | − | 1.76340i | ||||
\(776\) | −3.35231e6 | −0.199843 | ||||||||
\(777\) | 903882. | + | 293689.i | 0.0537105 | + | 0.0174516i | ||||
\(778\) | 4.55942e6 | − | 6.27550e6i | 0.270060 | − | 0.371706i | ||||
\(779\) | −5.17750e6 | − | 3.76168e6i | −0.305687 | − | 0.222094i | ||||
\(780\) | 1.09582e6 | − | 1.34444e6i | 0.0644913 | − | 0.0791233i | ||||
\(781\) | 6.66707e6 | − | 4.84391e6i | 0.391118 | − | 0.284164i | ||||
\(782\) | 126188.i | 0.00737907i | ||||||||
\(783\) | −1.11541e6 | − | 1.53523e6i | −0.0650173 | − | 0.0894886i | ||||
\(784\) | −6.38081e6 | − | 1.96381e7i | −0.370754 | − | 1.14106i | ||||
\(785\) | 1.08716e6 | + | 4.10968e6i | 0.0629681 | + | 0.238031i | ||||
\(786\) | −6.99693e6 | + | 2.15343e7i | −0.403972 | + | 1.24330i | ||||
\(787\) | 2.82817e7 | − | 9.18929e6i | 1.62768 | − | 0.528866i | 0.653944 | − | 0.756543i | \(-0.273113\pi\) |
0.973737 | + | 0.227677i | \(0.0731131\pi\) | |||||||
\(788\) | 2.08020e6 | − | 675897.i | 0.119341 | − | 0.0387762i | ||||
\(789\) | −5.21822e6 | + | 1.60600e7i | −0.298421 | + | 0.918446i | ||||
\(790\) | 1.27141e7 | + | 1.03629e7i | 0.724798 | + | 0.590764i | ||||
\(791\) | −1.04979e6 | − | 3.23092e6i | −0.0596569 | − | 0.183605i | ||||
\(792\) | 2.16811e6 | + | 2.98414e6i | 0.122820 | + | 0.169047i | ||||
\(793\) | 3.73668e6i | 0.211010i | ||||||||
\(794\) | 2.72578e7 | − | 1.98040e7i | 1.53440 | − | 1.11481i | ||||
\(795\) | −5.05124e6 | − | 7.83276e6i | −0.283453 | − | 0.439538i | ||||
\(796\) | 8.48466e6 | + | 6.16446e6i | 0.474626 | + | 0.344836i | ||||
\(797\) | −7.61627e6 | + | 1.04829e7i | −0.424714 | + | 0.584569i | −0.966730 | − | 0.255800i | \(-0.917661\pi\) |
0.542016 | + | 0.840368i | \(0.317661\pi\) | |||||||
\(798\) | 1.41195e6 | + | 458769.i | 0.0784893 | + | 0.0255027i | ||||
\(799\) | 50334.3 | 0.00278931 | ||||||||
\(800\) | 6.84873e6 | + | 1.20389e7i | 0.378343 | + | 0.665060i | ||||
\(801\) | −7.29344e6 | −0.401653 | ||||||||
\(802\) | −3.55890e7 | − | 1.15636e7i | −1.95380 | − | 0.634828i | ||||
\(803\) | 704345. | − | 969448.i | 0.0385476 | − | 0.0530562i | ||||
\(804\) | 2.65306e6 | + | 1.92756e6i | 0.144746 | + | 0.105164i | ||||
\(805\) | −305286. | + | 5.49044e6i | −0.0166042 | + | 0.298619i | ||||
\(806\) | 1.49564e7 | − | 1.08664e7i | 0.810940 | − | 0.589182i | ||||
\(807\) | 1.33445e7i | 0.721302i | ||||||||
\(808\) | 612799. | + | 843446.i | 0.0330210 | + | 0.0454495i | ||||
\(809\) | 1.58308e6 | + | 4.87221e6i | 0.0850414 | + | 0.261731i | 0.984531 | − | 0.175212i | \(-0.0560612\pi\) |
−0.899489 | + | 0.436943i | \(0.856061\pi\) | |||||||
\(810\) | −2.06655e6 | + | 1.33269e6i | −0.110671 | + | 0.0713701i | ||||
\(811\) | −1.62307e6 | + | 4.99530e6i | −0.0866533 | + | 0.266692i | −0.984989 | − | 0.172619i | \(-0.944777\pi\) |
0.898335 | + | 0.439310i | \(0.144777\pi\) | |||||||
\(812\) | 756650. | − | 245850.i | 0.0402721 | − | 0.0130852i | ||||
\(813\) | −1.23100e7 | + | 3.99977e6i | −0.653180 | + | 0.212231i | ||||
\(814\) | −3.30502e6 | + | 1.01718e7i | −0.174829 | + | 0.538068i | ||||
\(815\) | 2.50346e6 | − | 1.61445e6i | 0.132022 | − | 0.0851394i | ||||
\(816\) | 15959.3 | + | 49117.7i | 0.000839052 | + | 0.00258234i | ||||
\(817\) | 7.40553e6 | + | 1.01928e7i | 0.388152 | + | 0.534245i | ||||
\(818\) | 1.23533e7i | 0.645505i | ||||||||
\(819\) | 411742. | − | 299148.i | 0.0214494 | − | 0.0155839i | ||||
\(820\) | −246725. | + | 4.43724e6i | −0.0128138 | + | 0.230451i | ||||
\(821\) | −2.21878e7 | − | 1.61203e7i | −1.14883 | − | 0.834673i | −0.160505 | − | 0.987035i | \(-0.551312\pi\) |
−0.988325 | + | 0.152362i | \(0.951312\pi\) | |||||||
\(822\) | 2.87512e6 | − | 3.95726e6i | 0.148415 | − | 0.204275i | ||||
\(823\) | −1.50766e7 | − | 4.89870e6i | −0.775898 | − | 0.252105i | −0.105810 | − | 0.994386i | \(-0.533744\pi\) |
−0.670088 | + | 0.742282i | \(0.733744\pi\) | |||||||
\(824\) | −1.45952e7 | −0.748845 | ||||||||
\(825\) | 9.13462e6 | + | 4.13694e6i | 0.467257 | + | 0.211614i | ||||
\(826\) | −7.79805e6 | −0.397682 | ||||||||
\(827\) | −5.82888e6 | − | 1.89392e6i | −0.296361 | − | 0.0962937i | 0.157062 | − | 0.987589i | \(-0.449798\pi\) |
−0.453424 | + | 0.891295i | \(0.649798\pi\) | |||||||
\(828\) | 2.56962e6 | − | 3.53677e6i | 0.130254 | − | 0.179280i | ||||
\(829\) | 1.41458e7 | + | 1.02775e7i | 0.714892 | + | 0.519399i | 0.884748 | − | 0.466070i | \(-0.154330\pi\) |
−0.169856 | + | 0.985469i | \(0.554330\pi\) | |||||||
\(830\) | 1.93747e6 | + | 3.00436e6i | 0.0976205 | + | 0.151376i | ||||
\(831\) | −6.24812e6 | + | 4.53952e6i | −0.313868 | + | 0.228038i | ||||
\(832\) | − | 2.91424e6i | − | 0.145954i | ||||||
\(833\) | −43133.9 | − | 59368.8i | −0.00215381 | − | 0.00296446i | ||||
\(834\) | 4.31454e6 | + | 1.32788e7i | 0.214793 | + | 0.661064i | ||||
\(835\) | −3.93862e6 | − | 3.21027e6i | −0.195492 | − | 0.159340i | ||||
\(836\) | −1.48734e6 | + | 4.57757e6i | −0.0736030 | + | 0.226527i | ||||
\(837\) | −7.18127e6 | + | 2.33334e6i | −0.354314 | + | 0.115123i | ||||
\(838\) | −7.65235e6 | + | 2.48640e6i | −0.376431 | + | 0.122310i | ||||
\(839\) | −8.84145e6 | + | 2.72112e7i | −0.433629 | + | 1.33457i | 0.460856 | + | 0.887475i | \(0.347542\pi\) |
−0.894485 | + | 0.447098i | \(0.852458\pi\) | |||||||
\(840\) | 387862. | + | 1.46619e6i | 0.0189662 | + | 0.0716956i | ||||
\(841\) | −4.24439e6 | − | 1.30629e7i | −0.206931 | − | 0.636868i | ||||
\(842\) | −7.79447e6 | − | 1.07282e7i | −0.378884 | − | 0.521489i | ||||
\(843\) | 2.07461e7i | 1.00547i | ||||||||
\(844\) | −2.86478e6 | + | 2.08139e6i | −0.138432 | + | 0.100577i | ||||
\(845\) | 1.06104e7 | − | 1.30177e7i | 0.511197 | − | 0.627179i | ||||
\(846\) | −4.89690e6 | − | 3.55781e6i | −0.235231 | − | 0.170906i | ||||
\(847\) | 470688. | − | 647847.i | 0.0225437 | − | 0.0310287i | ||||
\(848\) | 2.23876e7 | + | 7.27418e6i | 1.06910 | + | 0.347372i | ||||
\(849\) | 1.55587e7 | 0.740807 | ||||||||
\(850\) | 69908.0 | + | 63756.7i | 0.00331879 | + | 0.00302677i | ||||
\(851\) | −1.86477e7 | −0.882678 | ||||||||
\(852\) | −2.56196e6 | − | 832432.i | −0.120913 | − | 0.0392871i | ||||
\(853\) | 6.22008e6 | − | 8.56120e6i | 0.292700 | − | 0.402867i | −0.637189 | − | 0.770708i | \(-0.719903\pi\) |
0.929889 | + | 0.367841i | \(0.119903\pi\) | |||||||
\(854\) | 1.79686e6 | + | 1.30549e6i | 0.0843080 | + | 0.0612533i | ||||
\(855\) | 4.40139e6 | + | 1.70564e6i | 0.205908 | + | 0.0797945i | ||||
\(856\) | −6.34028e6 | + | 4.60648e6i | −0.295750 | + | 0.214875i | ||||
\(857\) | − | 2.86803e7i | − | 1.33392i | −0.745092 | − | 0.666962i | \(-0.767594\pi\) | ||
0.745092 | − | 0.666962i | \(-0.232406\pi\) | |||||||
\(858\) | 3.36645e6 | + | 4.63353e6i | 0.156119 | + | 0.214879i | ||||
\(859\) | −6.75344e6 | − | 2.07850e7i | −0.312279 | − | 0.961095i | −0.976860 | − | 0.213879i | \(-0.931390\pi\) |
0.664582 | − | 0.747216i | \(-0.268610\pi\) | |||||||
\(860\) | 3.16137e6 | − | 8.15786e6i | 0.145757 | − | 0.376123i | ||||
\(861\) | −402968. | + | 1.24021e6i | −0.0185252 | + | 0.0570147i | ||||
\(862\) | 8.63705e6 | − | 2.80635e6i | 0.395911 | − | 0.128639i | ||||
\(863\) | 6.49913e6 | − | 2.11170e6i | 0.297049 | − | 0.0965171i | −0.156701 | − | 0.987646i | \(-0.550086\pi\) |
0.453750 | + | 0.891129i | \(0.350086\pi\) | |||||||
\(864\) | 998456. | − | 3.07293e6i | 0.0455035 | − | 0.140045i | ||||
\(865\) | −3.73307e7 | − | 2.07571e6i | −1.69639 | − | 0.0943249i | ||||
\(866\) | −9.06394e6 | − | 2.78960e7i | −0.410698 | − | 1.26400i | ||||
\(867\) | −7.51103e6 | − | 1.03380e7i | −0.339353 | − | 0.467079i | ||||
\(868\) | − | 3.16570e6i | − | 0.142617i | ||||||
\(869\) | −1.26237e7 | + | 9.17165e6i | −0.567071 | + | 0.412001i | ||||
\(870\) | 8.48847e6 | − | 2.24552e6i | 0.380217 | − | 0.100582i | ||||
\(871\) | −6.06019e6 | − | 4.40298e6i | −0.270670 | − | 0.196653i | ||||
\(872\) | −1.09224e7 | + | 1.50334e7i | −0.486438 | + | 0.669524i | ||||
\(873\) | 2.02194e6 | + | 656969.i | 0.0897910 | + | 0.0291749i | ||||
\(874\) | −2.91294e7 | −1.28989 | ||||||||
\(875\) | 2.88744e6 | + | 2.94318e6i | 0.127495 | + | 0.129956i | ||||
\(876\) | −391702. | −0.0172463 | ||||||||
\(877\) | 6.27344e6 | + | 2.03836e6i | 0.275427 | + | 0.0894917i | 0.443474 | − | 0.896287i | \(-0.353746\pi\) |
−0.168047 | + | 0.985779i | \(0.553746\pi\) | |||||||
\(878\) | −2.46870e7 | + | 3.39788e7i | −1.08077 | + | 1.48755i | ||||
\(879\) | −5.19849e6 | − | 3.77692e6i | −0.226937 | − | 0.164879i | ||||
\(880\) | −2.44844e7 | + | 6.47703e6i | −1.06582 | + | 0.281948i | ||||
\(881\) | 1.66136e7 | − | 1.20705e7i | 0.721146 | − | 0.523943i | −0.165604 | − | 0.986192i | \(-0.552957\pi\) |
0.886750 | + | 0.462249i | \(0.152957\pi\) | |||||||
\(882\) | 8.82471e6i | 0.381970i | ||||||||
\(883\) | 1.88760e7 | + | 2.59805e7i | 0.814718 | + | 1.12136i | 0.990578 | + | 0.136948i | \(0.0437294\pi\) |
−0.175860 | + | 0.984415i | \(0.556271\pi\) | |||||||
\(884\) | 4810.89 | + | 14806.4i | 0.000207059 | + | 0.000637263i | ||||
\(885\) | −2.47557e7 | − | 1.37650e6i | −1.06247 | − | 0.0590769i | ||||
\(886\) | −3.53886e6 | + | 1.08915e7i | −0.151453 | + | 0.466126i | ||||
\(887\) | −1.26625e7 | + | 4.11429e6i | −0.540393 | + | 0.175584i | −0.566480 | − | 0.824075i | \(-0.691695\pi\) |
0.0260873 | + | 0.999660i | \(0.491695\pi\) | |||||||
\(888\) | −4.89141e6 | + | 1.58932e6i | −0.208162 | + | 0.0676360i | ||||
\(889\) | 1.64991e6 | − | 5.07790e6i | 0.0700173 | − | 0.215491i | ||||
\(890\) | 1.21942e7 | − | 3.14669e7i | 0.516033 | − | 1.33161i | ||||
\(891\) | −722874. | − | 2.22478e6i | −0.0305048 | − | 0.0938842i | ||||
\(892\) | 6.91967e6 | + | 9.52411e6i | 0.291188 | + | 0.400786i | ||||
\(893\) | 1.16192e7i | 0.487583i | ||||||||
\(894\) | 1.13371e7 | − | 8.23690e6i | 0.474416 | − | 0.344683i | ||||
\(895\) | 3.05192e7 | + | 1.18269e7i | 1.27355 | + | 0.493531i | ||||
\(896\) | −4.10951e6 | − | 2.98573e6i | −0.171009 | − | 0.124246i | ||||
\(897\) | −5.86958e6 | + | 8.07878e6i | −0.243571 | + | 0.335247i | ||||
\(898\) | −4.45623e7 | − | 1.44792e7i | −1.84407 | − | 0.599174i | ||||
\(899\) | 2.69621e7 | 1.11264 | ||||||||
\(900\) | −661063. | − | 3.21052e6i | −0.0272042 | − | 0.132120i | ||||
\(901\) | 83658.2 | 0.00343318 | ||||||||
\(902\) | −1.39566e7 | − | 4.53479e6i | −0.571169 | − | 0.185584i | ||||
\(903\) | 1.50898e6 | − | 2.07693e6i | 0.0615833 | − | 0.0847621i | ||||
\(904\) | 1.48730e7 | + | 1.08059e7i | 0.605311 | + | 0.439784i | ||||
\(905\) | 1.27692e7 | − | 1.56664e7i | 0.518255 | − | 0.635839i | ||||
\(906\) | 1.39827e7 | − | 1.01590e7i | 0.565938 | − | 0.411178i | ||||
\(907\) | 1.52738e7i | 0.616492i | 0.951307 | + | 0.308246i | \(0.0997420\pi\) | ||||
−0.951307 | + | 0.308246i | \(0.900258\pi\) | |||||||
\(908\) | −1.01449e7 | − | 1.39632e7i | −0.408350 | − | 0.562045i | ||||
\(909\) | −204315. | − | 628817.i | −0.00820145 | − | 0.0252415i | ||||
\(910\) | 602240. | + | 2.27658e6i | 0.0241083 | + | 0.0911338i | ||||
\(911\) | 2.74727e6 | − | 8.45522e6i | 0.109674 | − | 0.337543i | −0.881125 | − | 0.472884i | \(-0.843213\pi\) |
0.990799 | + | 0.135341i | \(0.0432130\pi\) | |||||||
\(912\) | −1.13384e7 | + | 3.68407e6i | −0.451403 | + | 0.146670i | ||||
\(913\) | −3.23440e6 | + | 1.05092e6i | −0.128415 | + | 0.0417247i | ||||
\(914\) | 2.74626e6 | − | 8.45211e6i | 0.108737 | − | 0.334657i | ||||
\(915\) | 5.47387e6 | + | 4.46160e6i | 0.216143 | + | 0.176172i | ||||
\(916\) | 3.78144e6 | + | 1.16381e7i | 0.148908 | + | 0.458292i | ||||
\(917\) | −5.20575e6 | − | 7.16510e6i | −0.204437 | − | 0.281384i | ||||
\(918\) | − | 22071.8i | − | 0.000864434i | ||||||
\(919\) | −3.05290e7 | + | 2.21806e7i | −1.19241 | + | 0.866334i | −0.993517 | − | 0.113688i | \(-0.963734\pi\) |
−0.198890 | + | 0.980022i | \(0.563734\pi\) | |||||||
\(920\) | −1.61276e7 | − | 2.50084e7i | −0.628203 | − | 0.974129i | ||||
\(921\) | −2.10030e7 | − | 1.52596e7i | −0.815891 | − | 0.592779i | ||||
\(922\) | 8.86697e6 | − | 1.22043e7i | 0.343517 | − | 0.472810i | ||||
\(923\) | 5.85209e6 | + | 1.90146e6i | 0.226103 | + | 0.0734654i | ||||
\(924\) | 980742. | 0.0377898 | ||||||||
\(925\) | −9.42179e6 | + | 1.03308e7i | −0.362059 | + | 0.396990i | ||||
\(926\) | 1.55447e7 | 0.595738 | ||||||||
\(927\) | 8.80308e6 | + | 2.86029e6i | 0.336461 | + | 0.109323i | ||||
\(928\) | −6.78148e6 | + | 9.33391e6i | −0.258497 | + | 0.355790i | ||||
\(929\) | −3.39497e6 | − | 2.46659e6i | −0.129062 | − | 0.0937687i | 0.521382 | − | 0.853324i | \(-0.325417\pi\) |
−0.650443 | + | 0.759555i | \(0.725417\pi\) | |||||||
\(930\) | 1.93967e6 | − | 3.48841e7i | 0.0735395 | − | 1.32258i | ||||
\(931\) | 1.37048e7 | − | 9.95709e6i | 0.518200 | − | 0.376494i | ||||
\(932\) | 1.83946e7i | 0.693666i | ||||||||
\(933\) | 1.11587e7 | + | 1.53586e7i | 0.419670 | + | 0.577627i | ||||
\(934\) | 1.14240e7 | + | 3.51595e7i | 0.428501 | + | 1.31879i | ||||
\(935\) | −75643.3 | + | 48781.4i | −0.00282971 | + | 0.00182484i | ||||
\(936\) | −851083. | + | 2.61937e6i | −0.0317528 | + | 0.0977252i | ||||
\(937\) | −4.45783e6 | + | 1.44844e6i | −0.165873 | + | 0.0538953i | −0.390776 | − | 0.920486i | \(-0.627793\pi\) |
0.224903 | + | 0.974381i | \(0.427793\pi\) | |||||||
\(938\) | −4.23452e6 | + | 1.37588e6i | −0.157144 | + | 0.0510591i | ||||
\(939\) | 360325. | − | 1.10897e6i | 0.0133362 | − | 0.0410445i | ||||
\(940\) | 6.78086e6 | − | 4.37289e6i | 0.250302 | − | 0.161417i | ||||
\(941\) | −4.58157e6 | − | 1.41006e7i | −0.168671 | − | 0.519116i | 0.830617 | − | 0.556844i | \(-0.187988\pi\) |
−0.999288 | + | 0.0377279i | \(0.987988\pi\) | |||||||
\(942\) | 2.69709e6 | + | 3.71222e6i | 0.0990303 | + | 0.136304i | ||||
\(943\) | − | 2.55864e7i | − | 0.936978i | ||||||
\(944\) | 5.06614e7 | − | 3.68077e7i | 1.85032 | − | 1.34434i | ||||
\(945\) | 53398.2 | − | 960344.i | 0.00194512 | − | 0.0349822i | ||||
\(946\) | 2.33726e7 | + | 1.69812e7i | 0.849141 | + | 0.616937i | ||||
\(947\) | −7.11684e6 | + | 9.79548e6i | −0.257877 | + | 0.354937i | −0.918250 | − | 0.396000i | \(-0.870398\pi\) |
0.660374 | + | 0.750937i | \(0.270398\pi\) | |||||||
\(948\) | 4.85092e6 | + | 1.57616e6i | 0.175309 | + | 0.0569613i | ||||
\(949\) | 894735. | 0.0322499 | ||||||||
\(950\) | −1.47177e7 | + | 1.61376e7i | −0.529091 | + | 0.580138i | ||||
\(951\) | −2.40890e6 | −0.0863709 | ||||||||
\(952\) | −12946.9 | − | 4206.70i | −0.000462992 | − | 0.000150435i | ||||
\(953\) | −8.32388e6 | + | 1.14568e7i | −0.296889 | + | 0.408632i | −0.931236 | − | 0.364416i | \(-0.881269\pi\) |
0.634348 | + | 0.773048i | \(0.281269\pi\) | |||||||
\(954\) | −8.13890e6 | − | 5.91326e6i | −0.289531 | − | 0.210357i | ||||
\(955\) | 2.30301e7 | + | 3.57119e7i | 0.817124 | + | 1.26708i | ||||
\(956\) | 1.85425e6 | − | 1.34719e6i | 0.0656179 | − | 0.0476742i | ||||
\(957\) | 8.35295e6i | 0.294822i | ||||||||
\(958\) | 1.36999e7 | + | 1.88563e7i | 0.482286 | + | 0.663810i | ||||
\(959\) | 591233. | + | 1.81963e6i | 0.0207593 | + | 0.0638905i | ||||
\(960\) | −4.26907e6 | − | 3.47961e6i | −0.149505 | − | 0.121857i | ||||
\(961\) | 2.43057e7 | − | 7.48053e7i | 0.848985 | − | 2.61291i | ||||
\(962\) | −7.59497e6 | + | 2.46775e6i | −0.264599 | + | 0.0859734i | ||||
\(963\) | 4.72689e6 | − | 1.53586e6i | 0.164252 | − | 0.0533686i | ||||
\(964\) | 3.00462e6 | − | 9.24725e6i | 0.104135 | − | 0.320494i | ||||
\(965\) | 2.83218e6 | + | 1.07062e7i | 0.0979043 | + | 0.370097i | ||||
\(966\) | 1.83417e6 | + | 5.64500e6i | 0.0632408 | + | 0.194635i | ||||
\(967\) | −5.20010e6 | − | 7.15732e6i | −0.178832 | − | 0.246141i | 0.710185 | − | 0.704015i | \(-0.248611\pi\) |
−0.889017 | + | 0.457874i | \(0.848611\pi\) | |||||||
\(968\) | 4.33348e6i | 0.148644i | ||||||||
\(969\) | −34277.5 | + | 24904.1i | −0.00117274 | + | 0.000852043i | ||||
\(970\) | −6.21499e6 | + | 7.62507e6i | −0.212086 | + | 0.260204i | ||||
\(971\) | −2.02979e7 | − | 1.47473e7i | −0.690879 | − | 0.501953i | 0.186070 | − | 0.982537i | \(-0.440425\pi\) |
−0.876949 | + | 0.480583i | \(0.840425\pi\) | |||||||
\(972\) | −449457. | + | 618625.i | −0.0152589 | + | 0.0210020i | ||||
\(973\) | −5.19395e6 | − | 1.68762e6i | −0.175880 | − | 0.0571468i | ||||
\(974\) | 4.60198e7 | 1.55435 | ||||||||
\(975\) | 1.51002e6 | + | 7.33355e6i | 0.0508710 | + | 0.247060i | ||||
\(976\) | −1.78357e7 | −0.599329 | ||||||||
\(977\) | 5.02135e7 | + | 1.63153e7i | 1.68300 | + | 0.546839i | 0.985490 | − | 0.169736i | \(-0.0542916\pi\) |
0.697509 | + | 0.716576i | \(0.254292\pi\) | |||||||
\(978\) | 1.88996e6 | − | 2.60131e6i | 0.0631839 | − | 0.0869652i | ||||
\(979\) | 2.59726e7 | + | 1.88702e7i | 0.866082 | + | 0.629245i | ||||
\(980\) | −1.09686e7 | − | 4.25061e6i | −0.364827 | − | 0.141379i | ||||
\(981\) | 9.53402e6 | − | 6.92687e6i | 0.316303 | − | 0.229808i | ||||
\(982\) | − | 4.28023e7i | − | 1.41641i | ||||||
\(983\) | −1.52359e7 | − | 2.09704e7i | −0.502903 | − | 0.692186i | 0.479800 | − | 0.877378i | \(-0.340709\pi\) |
−0.982702 | + | 0.185192i | \(0.940709\pi\) | |||||||
\(984\) | −2.18068e6 | − | 6.71145e6i | −0.0717968 | − | 0.220968i | ||||
\(985\) | −3.41180e6 | + | 8.80408e6i | −0.112045 | + | 0.289130i | ||||
\(986\) | −24354.6 | + | 74955.6i | −0.000797789 | + | 0.00245534i | ||||
\(987\) | 2.25169e6 | − | 731619.i | 0.0735726 | − | 0.0239052i | ||||
\(988\) | −3.41793e6 | + | 1.11055e6i | −0.111396 | + | 0.0361948i | ||||
\(989\) | −1.55656e7 | + | 4.79060e7i | −0.506029 | + | 1.55740i | ||||
\(990\) | 1.08072e7 | + | 600915.i | 0.350449 | + | 0.0194861i | ||||
\(991\) | 5.87944e6 | + | 1.80951e7i | 0.190174 | + | 0.585296i | 0.999999 | − | 0.00137547i | \(-0.000437825\pi\) |
−0.809825 | + | 0.586672i | \(0.800438\pi\) | |||||||
\(992\) | 2.69839e7 | + | 3.71402e7i | 0.870615 | + | 1.19830i | ||||
\(993\) | − | 3.26663e7i | − | 1.05130i | ||||||
\(994\) | 2.95891e6 | − | 2.14978e6i | 0.0949874 | − | 0.0690124i | ||||
\(995\) | −4.37680e7 | + | 1.15783e7i | −1.40152 | + | 0.370754i | ||||
\(996\) | 899363. | + | 653425.i | 0.0287267 | + | 0.0208712i | ||||
\(997\) | −3.10956e7 | + | 4.27995e7i | −0.990744 | + | 1.36364i | −0.0599091 | + | 0.998204i | \(0.519081\pi\) |
−0.930835 | + | 0.365439i | \(0.880919\pi\) | |||||||
\(998\) | −3.47448e7 | − | 1.12893e7i | −1.10424 | − | 0.358790i | ||||
\(999\) | 3.26172e6 | 0.103403 |
(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 | 75.6.i.a.4.6 | ✓ | 96 | |
25.19 | even | 10 | inner | 75.6.i.a.19.6 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.6.i.a.4.6 | ✓ | 96 | 1.1 | even | 1 | trivial | |
75.6.i.a.19.6 | yes | 96 | 25.19 | even | 10 | inner |